diff --git a/dist/quantum-circuit.js b/dist/quantum-circuit.js index 7bd8b30..ba08fde 100644 --- a/dist/quantum-circuit.js +++ b/dist/quantum-circuit.js @@ -1,1458 +1,42876 @@ -var nt = (a, t) => () => (t || a((t = { exports: {} }).exports, t), t.exports); -var pt = nt((ut, tt) => { +function hr() { + return hr = Object.assign ? Object.assign.bind() : function(t) { + for (var e = 1; e < arguments.length; e++) { + var r = arguments[e]; + for (var n in r) ({}).hasOwnProperty.call(r, n) && (t[n] = r[n]); + } + return t; + }, hr.apply(null, arguments); +} +var Du = { + // minimum relative difference between two compared values, + // used by all comparison functions + relTol: 1e-12, + // minimum absolute difference between two compared values, + // used by all comparison functions + absTol: 1e-15, + // type of default matrix output. Choose 'matrix' (default) or 'array' + matrix: "Matrix", + // type of default number output. Choose 'number' (default) 'BigNumber', 'bigint', or 'Fraction' + number: "number", + // type of fallback used for config { number: 'bigint' } when a value cannot be represented + // in the configured numeric type. Choose 'number' (default) or 'BigNumber'. + numberFallback: "number", + // number of significant digits in BigNumbers + precision: 64, + // predictable output type of functions. When true, output type depends only + // on the input types. When false (default), output type can vary depending + // on input values. For example `math.sqrt(-4)` returns `complex('2i')` when + // predictable is false, and returns `NaN` when true. + predictable: !1, + // random seed for seeded pseudo random number generation + // null = randomly seed + randomSeed: null +}; +function ht(t) { + return typeof t == "number"; +} +function ct(t) { + return !t || typeof t != "object" || typeof t.constructor != "function" ? !1 : t.isBigNumber === !0 && typeof t.constructor.prototype == "object" && t.constructor.prototype.isBigNumber === !0 || typeof t.constructor.isDecimal == "function" && t.constructor.isDecimal(t) === !0; +} +function ld(t) { + return typeof t == "bigint"; +} +function Mn(t) { + return t && typeof t == "object" && Object.getPrototypeOf(t).isComplex === !0 || !1; +} +function Fi(t) { + return t && typeof t == "object" && Object.getPrototypeOf(t).isFraction === !0 || !1; +} +function Xr(t) { + return t && t.constructor.prototype.isUnit === !0 || !1; +} +function Er(t) { + return typeof t == "string"; +} +var Rt = Array.isArray; +function tt(t) { + return t && t.constructor.prototype.isMatrix === !0 || !1; +} +function cn(t) { + return Array.isArray(t) || tt(t); +} +function Ra(t) { + return t && t.isDenseMatrix && t.constructor.prototype.isMatrix === !0 || !1; +} +function oi(t) { + return t && t.isSparseMatrix && t.constructor.prototype.isMatrix === !0 || !1; +} +function ks(t) { + return t && t.constructor.prototype.isRange === !0 || !1; +} +function Va(t) { + return t && t.constructor.prototype.isIndex === !0 || !1; +} +function cd(t) { + return typeof t == "boolean"; +} +function fd(t) { + return t && t.constructor.prototype.isResultSet === !0 || !1; +} +function Au(t) { + return t && t.constructor.prototype.isHelp === !0 || !1; +} +function pd(t) { + return typeof t == "function"; +} +function hd(t) { + return t instanceof Date; +} +function md(t) { + return t instanceof RegExp; +} +function Wa(t) { + return !!(t && typeof t == "object" && t.constructor === Object && !Mn(t) && !Fi(t)); +} +function dd(t) { + return t === null; +} +function vd(t) { + return t === void 0; +} +function pi(t) { + return t && t.isAccessorNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function un(t) { + return t && t.isArrayNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function gd(t) { + return t && t.isAssignmentNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function yd(t) { + return t && t.isBlockNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function xd(t) { + return t && t.isConditionalNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function Ct(t) { + return t && t.isConstantNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function zm(t) { + return Ct(t) || or(t) && t.args.length === 1 && Ct(t.args[0]) && "-+~".includes(t.op); +} +function oa(t) { + return t && t.isFunctionAssignmentNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function Wn(t) { + return t && t.isFunctionNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function qi(t) { + return t && t.isIndexNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function Ut(t) { + return t && t.isNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function ja(t) { + return t && t.isObjectNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function or(t) { + return t && t.isOperatorNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function kn(t) { + return t && t.isParenthesisNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function bd(t) { + return t && t.isRangeNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function wd(t) { + return t && t.isRelationalNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function mr(t) { + return t && t.isSymbolNode === !0 && t.constructor.prototype.isNode === !0 || !1; +} +function Eu(t) { + return t && t.constructor.prototype.isChain === !0 || !1; +} +function Vt(t) { + var e = typeof t; + return e === "object" ? t === null ? "null" : ct(t) ? "BigNumber" : t.constructor && t.constructor.name ? t.constructor.name : "Object" : e; +} +function nt(t) { + var e = typeof t; + if (e === "number" || e === "bigint" || e === "string" || e === "boolean" || t === null || t === void 0) + return t; + if (typeof t.clone == "function") + return t.clone(); + if (Array.isArray(t)) + return t.map(function(r) { + return nt(r); + }); + if (t instanceof Date) return new Date(t.valueOf()); + if (ct(t)) return t; + if (Wa(t)) + return zS(t, nt); + throw new TypeError("Cannot clone: unknown type of value (value: ".concat(t, ")")); +} +function zS(t, e) { + var r = {}; + for (var n in t) + We(t, n) && (r[n] = e(t[n])); + return r; +} +function d2(t, e) { + for (var r in e) + We(e, r) && (t[r] = e[r]); + return t; +} +function v2(t, e) { + if (Array.isArray(e)) + throw new TypeError("Arrays are not supported by deepExtend"); + for (var r in e) + if (We(e, r) && !(r in Object.prototype) && !(r in Function.prototype)) + if (e[r] && e[r].constructor === Object) + t[r] === void 0 && (t[r] = {}), t[r] && t[r].constructor === Object ? v2(t[r], e[r]) : t[r] = e[r]; + else { + if (Array.isArray(e[r])) + throw new TypeError("Arrays are not supported by deepExtend"); + t[r] = e[r]; + } + return t; +} +function ia(t, e) { + var r, n, a; + if (Array.isArray(t)) { + if (!Array.isArray(e) || t.length !== e.length) + return !1; + for (n = 0, a = t.length; n < a; n++) + if (!ia(t[n], e[n])) + return !1; + return !0; + } else { + if (typeof t == "function") + return t === e; + if (t instanceof Object) { + if (Array.isArray(e) || !(e instanceof Object)) + return !1; + for (r in t) + if (!(r in e) || !ia(t[r], e[r])) + return !1; + for (r in e) + if (!(r in t)) + return !1; + return !0; + } else + return t === e; + } +} +function US(t) { + var e = {}; + return g2(t, e), e; +} +function g2(t, e) { + for (var r in t) + if (We(t, r)) { + var n = t[r]; + typeof n == "object" && n !== null ? g2(n, e) : e[r] = n; + } +} +function Jo(t, e, r) { + var n = !0, a; + Object.defineProperty(t, e, { + get: function() { + return n && (a = r(), n = !1), a; + }, + set: function(o) { + a = o, n = !1; + }, + configurable: !0, + enumerable: !0 + }); +} +function We(t, e) { + return t && Object.hasOwnProperty.call(t, e); +} +function GS(t) { + return t && typeof t.factory == "function"; +} +function HS(t, e) { + for (var r = {}, n = 0; n < e.length; n++) { + var a = e[n], s = t[a]; + s !== void 0 && (r[a] = s); + } + return r; +} +var Um = ["Matrix", "Array"], Gm = ["number", "BigNumber", "Fraction"]; +function QS(t, e) { + function r(n) { + if (n) { + if (n.epsilon !== void 0) { + console.warn('Warning: The configuration option "epsilon" is deprecated. Use "relTol" and "absTol" instead.'); + var a = nt(n); + return a.relTol = n.epsilon, a.absTol = n.epsilon * 1e-3, delete a.epsilon, r(a); + } + var s = nt(t); + Ug(n, "matrix", Um), Ug(n, "number", Gm), v2(t, n); + var o = nt(t), p = nt(n); + return e("config", o, s, p), o; + } else + return nt(t); + } + return r.MATRIX_OPTIONS = Um, r.NUMBER_OPTIONS = Gm, Object.keys(Du).forEach((n) => { + Object.defineProperty(r, n, { + get: () => t[n], + enumerable: !0, + configurable: !0 + }); + }), r; +} +function Ug(t, e, r) { + t[e] !== void 0 && !r.includes(t[e]) && console.warn('Warning: Unknown value "' + t[e] + '" for configuration option "' + e + '". Available options: ' + r.map((n) => JSON.stringify(n)).join(", ") + "."); +} +var qe = function(e) { + if (e) + throw new Error(`The global config is readonly. +Please create a mathjs instance if you want to change the default configuration. +Example: + + import { create, all } from 'mathjs'; + const mathjs = create(all); + mathjs.config({ number: 'BigNumber' }); +`); + return Object.freeze(Du); +}; +hr(qe, Du, { + MATRIX_OPTIONS: Um, + NUMBER_OPTIONS: Gm +}); +function Gg() { + return !0; +} +function Tn() { + return !1; +} +function Sa() { +} +const Hg = "Argument is not a typed-function."; +function y2() { + function t(Q) { + return typeof Q == "object" && Q !== null && Q.constructor === Object; + } + const e = [{ + name: "number", + test: function(Q) { + return typeof Q == "number"; + } + }, { + name: "string", + test: function(Q) { + return typeof Q == "string"; + } + }, { + name: "boolean", + test: function(Q) { + return typeof Q == "boolean"; + } + }, { + name: "Function", + test: function(Q) { + return typeof Q == "function"; + } + }, { + name: "Array", + test: Array.isArray + }, { + name: "Date", + test: function(Q) { + return Q instanceof Date; + } + }, { + name: "RegExp", + test: function(Q) { + return Q instanceof RegExp; + } + }, { + name: "Object", + test: t + }, { + name: "null", + test: function(Q) { + return Q === null; + } + }, { + name: "undefined", + test: function(Q) { + return Q === void 0; + } + }], r = { + name: "any", + test: Gg, + isAny: !0 + }; + let n, a, s = 0, o = { + createCount: 0 + }; + function p(Q) { + const ee = n.get(Q); + if (ee) + return ee; + let ye = 'Unknown type "' + Q + '"'; + const Ee = Q.toLowerCase(); + let Ce; + for (Ce of a) + if (Ce.toLowerCase() === Ee) { + ye += '. Did you mean "' + Ce + '" ?'; + break; + } + throw new TypeError(ye); + } + function u(Q) { + let ee = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : "any"; + const ye = ee ? p(ee).index : a.length, Ee = []; + for (let De = 0; De < Q.length; ++De) { + if (!Q[De] || typeof Q[De].name != "string" || typeof Q[De].test != "function") + throw new TypeError("Object with properties {name: string, test: function} expected"); + const Oe = Q[De].name; + if (n.has(Oe)) + throw new TypeError('Duplicate type name "' + Oe + '"'); + Ee.push(Oe), n.set(Oe, { + name: Oe, + test: Q[De].test, + isAny: Q[De].isAny, + index: ye + De, + conversionsTo: [] + // Newly added type can't have any conversions to it + }); + } + const Ce = a.slice(ye); + a = a.slice(0, ye).concat(Ee).concat(Ce); + for (let De = ye + Ee.length; De < a.length; ++De) + n.get(a[De]).index = De; + } + function f() { + n = /* @__PURE__ */ new Map(), a = [], s = 0, u([r], !1); + } + f(), u(e); + function l() { + let Q; + for (Q of a) + n.get(Q).conversionsTo = []; + s = 0; + } + function c(Q) { + const ee = a.filter((ye) => { + const Ee = n.get(ye); + return !Ee.isAny && Ee.test(Q); + }); + return ee.length ? ee : ["any"]; + } + function h(Q) { + return Q && typeof Q == "function" && "_typedFunctionData" in Q; + } + function d(Q, ee, ye) { + if (!h(Q)) + throw new TypeError(Hg); + const Ee = ye && ye.exact, Ce = Array.isArray(ee) ? ee.join(",") : ee, De = E(Ce), Oe = N(De); + if (!Ee || Oe in Q.signatures) { + const rt = Q._typedFunctionData.signatureMap.get(Oe); + if (rt) + return rt; + } + const Be = De.length; + let Le; + if (Ee) { + Le = []; + let rt; + for (rt in Q.signatures) + Le.push(Q._typedFunctionData.signatureMap.get(rt)); + } else + Le = Q._typedFunctionData.signatures; + for (let rt = 0; rt < Be; ++rt) { + const Ke = De[rt], Ze = []; + let Ie; + for (Ie of Le) { + const B = _(Ie.params, rt); + if (!(!B || Ke.restParam && !B.restParam)) { + if (!B.hasAny) { + const ne = x(B); + if (Ke.types.some((xe) => !ne.has(xe.name))) + continue; + } + Ze.push(Ie); + } + } + if (Le = Ze, Le.length === 0) break; + } + let Re; + for (Re of Le) + if (Re.params.length <= Be) + return Re; + throw new TypeError("Signature not found (signature: " + (Q.name || "unnamed") + "(" + N(De, ", ") + "))"); + } + function g(Q, ee, ye) { + return d(Q, ee, ye).implementation; + } + function v(Q, ee) { + const ye = p(ee); + if (ye.test(Q)) + return Q; + const Ee = ye.conversionsTo; + if (Ee.length === 0) + throw new Error("There are no conversions to " + ee + " defined."); + for (let Ce = 0; Ce < Ee.length; Ce++) + if (p(Ee[Ce].from).test(Q)) + return Ee[Ce].convert(Q); + throw new Error("Cannot convert " + Q + " to " + ee); + } + function N(Q) { + let ee = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : ","; + return Q.map((ye) => ye.name).join(ee); + } + function b(Q) { + const ee = Q.indexOf("...") === 0, Ee = (ee ? 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(ye = A(Q[0]), function(De) { + return ye(De[0]) && De.length === 1; + }) : Q.length === 2 ? (ye = A(Q[0]), Ee = A(Q[1]), function(De) { + return ye(De[0]) && Ee(De[1]) && De.length === 2; + }) : (ee = Q.map(A), function(De) { + for (let Oe = 0; Oe < ee.length; Oe++) + if (!ee[Oe](De[Oe])) + return !1; + return De.length === ee.length; + }); + } + function _(Q, ee) { + return ee < Q.length ? Q[ee] : D(Q) ? ue(Q) : null; + } + function O(Q, ee) { + const ye = _(Q, ee); + return ye ? x(ye) : /* @__PURE__ */ new Set(); + } + function T(Q) { + return Q.conversion === null || Q.conversion === void 0; + } + function I(Q, ee) { + const ye = /* @__PURE__ */ new Set(); + return Q.forEach((Ee) => { + const Ce = O(Ee.params, ee); + let De; + for (De of Ce) + ye.add(De); + }), ye.has("any") ? ["any"] : Array.from(ye); + } + function q(Q, ee, ye) { + let Ee, Ce; + const De = Q || "unnamed"; + let Oe = ye, Be; + for (Be = 0; Be < ee.length; Be++) { + const Ke = []; + if (Oe.forEach((Ze) => { + const Ie = _(Ze.params, Be), B = A(Ie); + (Be < Ze.params.length || D(Ze.params)) && B(ee[Be]) && Ke.push(Ze); + }), Ke.length === 0) { + if (Ce = I(Oe, Be), Ce.length > 0) { + const Ze = c(ee[Be]); + return Ee = new TypeError("Unexpected type of argument in function " + De + " (expected: " + Ce.join(" or ") + ", actual: " + Ze.join(" | ") + ", index: " + Be + ")"), Ee.data = { + category: "wrongType", + fn: De, + index: Be, + actual: Ze, + expected: Ce + }, Ee; + } + } else + Oe = Ke; + } + const Le = Oe.map(function(Ke) { + return D(Ke.params) ? 1 / 0 : Ke.params.length; + }); + if (ee.length < Math.min.apply(null, Le)) + return Ce = I(Oe, Be), Ee = new TypeError("Too few arguments in function " + De + " (expected: " + Ce.join(" or ") + ", index: " + ee.length + ")"), Ee.data = { + category: "tooFewArgs", + fn: De, + index: ee.length, + expected: Ce + }, Ee; + const Re = Math.max.apply(null, Le); + if (ee.length > Re) + return Ee = new TypeError("Too many arguments in function " + De + " (expected: " + Re + ", actual: " + ee.length + ")"), Ee.data = { + category: "tooManyArgs", + fn: De, + index: ee.length, + expectedLength: Re + }, Ee; + const rt = []; + for (let Ke = 0; Ke < ee.length; ++Ke) + rt.push(c(ee[Ke]).join("|")); + return Ee = new TypeError('Arguments of type "' + rt.join(", ") + '" do not match any of the defined signatures of function ' + De + "."), Ee.data = { + category: "mismatch", + actual: rt + }, Ee; + } + function $(Q) { + let ee = a.length + 1; + for (let ye = 0; ye < Q.types.length; ye++) + T(Q.types[ye]) && (ee = Math.min(ee, Q.types[ye].typeIndex)); + return ee; + } + function U(Q) { + let ee = s + 1; + for (let ye = 0; ye < Q.types.length; ye++) + T(Q.types[ye]) || (ee = Math.min(ee, Q.types[ye].conversionIndex)); + return ee; + } + function k(Q, ee) { + if (Q.hasAny) { + if (!ee.hasAny) + return 1; + } else if (ee.hasAny) + return -1; + if (Q.restParam) { + if (!ee.restParam) + return 1; + } else if (ee.restParam) + return -1; + if (Q.hasConversion) { + if (!ee.hasConversion) + return 1; + } else if (ee.hasConversion) + return -1; + const ye = $(Q) - $(ee); + if (ye < 0) + return -1; + if (ye > 0) + return 1; + const Ee = U(Q) - U(ee); + return Ee < 0 ? -1 : Ee > 0 ? 1 : 0; + } + function L(Q, ee) { + const ye = Q.params, Ee = ee.params, Ce = ue(ye), De = ue(Ee), Oe = D(ye), Be = D(Ee); + if (Oe && Ce.hasAny) { + if (!Be || !De.hasAny) + return 1; + } else if (Be && De.hasAny) + return -1; + let Le = 0, Re = 0, rt; + for (rt of ye) + rt.hasAny && ++Le, rt.hasConversion && ++Re; + let Ke = 0, Ze = 0; + for (rt of Ee) + rt.hasAny && ++Ke, rt.hasConversion && ++Ze; + if (Le !== Ke) + return Le - Ke; + if (Oe && Ce.hasConversion) { + if (!Be || !De.hasConversion) + return 1; + } else if (Be && De.hasConversion) + return -1; + if (Re !== Ze) + return Re - Ze; + if (Oe) { + if (!Be) + return 1; + } else if (Be) + return -1; + const Ie = (ye.length - Ee.length) * (Oe ? -1 : 1); + if (Ie !== 0) + return Ie; + const B = []; + let ne = 0; + for (let Te = 0; Te < ye.length; ++Te) { + const Pe = k(ye[Te], Ee[Te]); + B.push(Pe), ne += Pe; + } + if (ne !== 0) + return ne; + let xe; + for (xe of B) + if (xe !== 0) + return xe; + return 0; + } + function R(Q) { + if (Q.length === 0) + return []; + const ee = Q.map(p); + Q.length > 1 && ee.sort((Ce, De) => Ce.index - De.index); + let ye = ee[0].conversionsTo; + if (Q.length === 1) + return ye; + ye = ye.concat([]); + const Ee = new Set(Q); + for (let Ce = 1; Ce < ee.length; ++Ce) { + let De; + for (De of ee[Ce].conversionsTo) + Ee.has(De.from) || (ye.push(De), Ee.add(De.from)); + } + return ye; + } + function G(Q, ee) { + let ye = ee; + if (Q.some((Ce) => Ce.hasConversion)) { + const Ce = D(Q), De = Q.map(P); + ye = function() { + const Be = [], Le = Ce ? arguments.length - 1 : arguments.length; + for (let Re = 0; Re < Le; Re++) + Be[Re] = De[Re](arguments[Re]); + return Ce && (Be[Le] = arguments[Le].map(De[Le])), ee.apply(this, Be); + }; + } + let Ee = ye; + if (D(Q)) { + const Ce = Q.length - 1; + Ee = function() { + return ye.apply(this, ve(arguments, 0, Ce).concat([ve(arguments, Ce)])); + }; + } + return Ee; + } + function P(Q) { + let ee, ye, Ee, Ce; + const De = [], Oe = []; + switch (Q.types.forEach(function(Be) { + Be.conversion && (De.push(p(Be.conversion.from).test), Oe.push(Be.conversion.convert)); + }), Oe.length) { + case 0: + return function(Le) { + return Le; + }; + case 1: + return ee = De[0], Ee = Oe[0], function(Le) { + return ee(Le) ? Ee(Le) : Le; + }; + case 2: + return ee = De[0], ye = De[1], Ee = Oe[0], Ce = Oe[1], function(Le) { + return ee(Le) ? Ee(Le) : ye(Le) ? Ce(Le) : Le; + }; + default: + return function(Le) { + for (let Re = 0; Re < Oe.length; Re++) + if (De[Re](Le)) + return Oe[Re](Le); + return Le; + }; + } + } + function W(Q) { + function ee(ye, Ee, Ce) { + if (Ee < ye.length) { + const De = ye[Ee]; + let Oe = []; + if (De.restParam) { + const Be = De.types.filter(T); + Be.length < De.types.length && Oe.push({ + types: Be, + name: "..." + Be.map((Le) => Le.name).join("|"), + hasAny: Be.some((Le) => Le.isAny), + hasConversion: !1, + restParam: !0 + }), Oe.push(De); + } else + Oe = De.types.map(function(Be) { + return { + types: [Be], + name: Be.name, + hasAny: Be.isAny, + hasConversion: Be.conversion, + restParam: !1 + }; + }); + return Ne(Oe, function(Be) { + return ee(ye, Ee + 1, Ce.concat([Be])); + }); + } else + return [Ce]; + } + return ee(Q, 0, []); + } + function le(Q, ee) { + const ye = Math.max(Q.length, ee.length); + for (let Be = 0; Be < ye; Be++) { + const Le = O(Q, Be), Re = O(ee, Be); + let rt = !1, Ke; + for (Ke of Re) + if (Le.has(Ke)) { + rt = !0; + break; + } + if (!rt) + return !1; + } + const Ee = Q.length, Ce = ee.length, De = D(Q), Oe = D(ee); + return De ? Oe ? Ee === Ce : Ce >= Ee : Oe ? Ee >= Ce : Ee === Ce; + } + function Z(Q) { + return Q.map((ee) => pe(ee) ? V(ee.referToSelf.callback) : re(ee) ? Se(ee.referTo.references, ee.referTo.callback) : ee); + } + function H(Q, ee, ye) { + const Ee = []; + let Ce; + for (Ce of Q) { + let De = ye[Ce]; + if (typeof De != "number") + throw new TypeError('No definition for referenced signature "' + Ce + '"'); + if (De = ee[De], typeof De != "function") + return !1; + Ee.push(De); + } + return Ee; + } + function te(Q, ee, ye) { + const Ee = Z(Q), Ce = new Array(Ee.length).fill(!1); + let De = !0; + for (; De; ) { + De = !1; + let Oe = !0; + for (let Be = 0; Be < Ee.length; ++Be) { + if (Ce[Be]) continue; + const Le = Ee[Be]; + if (pe(Le)) + Ee[Be] = Le.referToSelf.callback(ye), Ee[Be].referToSelf = Le.referToSelf, Ce[Be] = !0, Oe = !1; + else if (re(Le)) { + const Re = H(Le.referTo.references, Ee, ee); + Re ? (Ee[Be] = Le.referTo.callback.apply(this, Re), Ee[Be].referTo = Le.referTo, Ce[Be] = !0, Oe = !1) : De = !0; + } + } + if (Oe && De) + throw new SyntaxError("Circular reference detected in resolving typed.referTo"); + } + return Ee; + } + function be(Q) { + const ee = /\bthis(\(|\.signatures\b)/; + Object.keys(Q).forEach((ye) => { + const Ee = Q[ye]; + if (ee.test(Ee.toString())) + throw new SyntaxError("Using `this` to self-reference a function is deprecated since typed-function@3. Use typed.referTo and typed.referToSelf instead."); + }); + } + function K(Q, ee) { + if (o.createCount++, Object.keys(ee).length === 0) + throw new SyntaxError("No signatures provided"); + o.warnAgainstDeprecatedThis && be(ee); + const ye = [], Ee = [], Ce = {}, De = []; + let Oe; + for (Oe in ee) { + if (!Object.prototype.hasOwnProperty.call(ee, Oe)) + continue; + const Pt = E(Oe); + if (!Pt) continue; + ye.forEach(function(Ki) { + if (le(Ki, Pt)) + throw new TypeError('Conflicting signatures "' + N(Ki) + '" and "' + N(Pt) + '".'); + }), ye.push(Pt); + const Gr = Ee.length; + Ee.push(ee[Oe]); + const Co = Pt.map(C); + let Xi; + for (Xi of W(Co)) { + const Ki = N(Xi); + De.push({ + params: Xi, + name: Ki, + fn: Gr + }), Xi.every((ws) => !ws.hasConversion) && (Ce[Ki] = Gr); + } + } + De.sort(L); + const Be = te(Ee, Ce, tr); + let Le; + for (Le in Ce) + Object.prototype.hasOwnProperty.call(Ce, Le) && (Ce[Le] = Be[Ce[Le]]); + const Re = [], rt = /* @__PURE__ */ new Map(); + for (Le of De) + rt.has(Le.name) || (Le.fn = Be[Le.fn], Re.push(Le), rt.set(Le.name, Le)); + const Ke = Re[0] && Re[0].params.length <= 2 && !D(Re[0].params), Ze = Re[1] && Re[1].params.length <= 2 && !D(Re[1].params), Ie = Re[2] && Re[2].params.length <= 2 && !D(Re[2].params), B = Re[3] && Re[3].params.length <= 2 && !D(Re[3].params), ne = Re[4] && Re[4].params.length <= 2 && !D(Re[4].params), xe = Re[5] && Re[5].params.length <= 2 && !D(Re[5].params), Te = Ke && Ze && Ie && B && ne && xe; + for (let Pt = 0; Pt < Re.length; ++Pt) + Re[Pt].test = M(Re[Pt].params); + const Pe = Ke ? A(Re[0].params[0]) : Tn, Ge = Ze ? A(Re[1].params[0]) : Tn, Ve = Ie ? A(Re[2].params[0]) : Tn, ft = B ? A(Re[3].params[0]) : Tn, lt = ne ? A(Re[4].params[0]) : Tn, Nr = xe ? A(Re[5].params[0]) : Tn, Ur = Ke ? A(Re[0].params[1]) : Tn, An = Ze ? A(Re[1].params[1]) : Tn, Or = Ie ? A(Re[2].params[1]) : Tn, Aa = B ? A(Re[3].params[1]) : Tn, fr = ne ? A(Re[4].params[1]) : Tn, Fr = xe ? A(Re[5].params[1]) : Tn; + for (let Pt = 0; Pt < Re.length; ++Pt) + Re[Pt].implementation = G(Re[Pt].params, Re[Pt].fn); + const Dr = Ke ? Re[0].implementation : Sa, Zt = Ze ? Re[1].implementation : Sa, pr = Ie ? Re[2].implementation : Sa, Ji = B ? Re[3].implementation : Sa, Kt = ne ? Re[4].implementation : Sa, sr = xe ? Re[5].implementation : Sa, Ar = Ke ? Re[0].params.length : -1, En = Ze ? Re[1].params.length : -1, er = Ie ? Re[2].params.length : -1, ii = B ? Re[3].params.length : -1, Yr = ne ? Re[4].params.length : -1, Yi = xe ? Re[5].params.length : -1, bs = Te ? 6 : 0, It = Re.length, So = Re.map((Pt) => Pt.test), Sm = Re.map((Pt) => Pt.implementation), Sn = function() { + for (let Gr = bs; Gr < It; Gr++) + if (So[Gr](arguments)) + return Sm[Gr].apply(this, arguments); + return o.onMismatch(Q, arguments, Re); + }; + function tr(Pt, Gr) { + return arguments.length === Ar && Pe(Pt) && Ur(Gr) ? Dr.apply(this, arguments) : arguments.length === En && Ge(Pt) && An(Gr) ? Zt.apply(this, arguments) : arguments.length === er && Ve(Pt) && Or(Gr) ? pr.apply(this, arguments) : arguments.length === ii && ft(Pt) && Aa(Gr) ? Ji.apply(this, arguments) : arguments.length === Yr && lt(Pt) && fr(Gr) ? Kt.apply(this, arguments) : arguments.length === Yi && Nr(Pt) && Fr(Gr) ? sr.apply(this, arguments) : Sn.apply(this, arguments); + } + try { + Object.defineProperty(tr, "name", { + value: Q + }); + } catch { + } + return tr.signatures = Ce, tr._typedFunctionData = { + signatures: Re, + signatureMap: rt + }, tr; + } + function ce(Q, ee, ye) { + throw q(Q, ee, ye); + } + function de(Q) { + return ve(Q, 0, Q.length - 1); + } + function ue(Q) { + return Q[Q.length - 1]; + } + function ve(Q, ee, ye) { + return Array.prototype.slice.call(Q, ee, ye); + } + function he(Q, ee) { + for (let ye = 0; ye < Q.length; ye++) + if (ee(Q[ye])) + return Q[ye]; + } + function Ne(Q, ee) { + return Array.prototype.concat.apply([], Q.map(ee)); + } + function we() { + const Q = de(arguments).map((ye) => N(E(ye))), ee = ue(arguments); + if (typeof ee != "function") + throw new TypeError("Callback function expected as last argument"); + return Se(Q, ee); + } + function Se(Q, ee) { + return { + referTo: { + references: Q, + callback: ee + } + }; + } + function V(Q) { + if (typeof Q != "function") + throw new TypeError("Callback function expected as first argument"); + return { + referToSelf: { + callback: Q + } + }; + } + function re(Q) { + return Q && typeof Q.referTo == "object" && Array.isArray(Q.referTo.references) && typeof Q.referTo.callback == "function"; + } + function pe(Q) { + return Q && typeof Q.referToSelf == "object" && typeof Q.referToSelf.callback == "function"; + } + function X(Q, ee) { + if (!Q) + return ee; + if (ee && ee !== Q) { + const ye = new Error("Function names do not match (expected: " + Q + ", actual: " + ee + ")"); + throw ye.data = { + actual: ee, + expected: Q + }, ye; + } + return Q; + } + function ie(Q) { + let ee; + for (const ye in Q) + Object.prototype.hasOwnProperty.call(Q, ye) && (h(Q[ye]) || typeof Q[ye].signature == "string") && (ee = X(ee, Q[ye].name)); + return ee; + } + function me(Q, ee) { + let ye; + for (ye in ee) + if (Object.prototype.hasOwnProperty.call(ee, ye)) { + if (ye in Q && ee[ye] !== Q[ye]) { + const Ee = new Error('Signature "' + ye + '" is defined twice'); + throw Ee.data = { + signature: ye, + sourceFunction: ee[ye], + destFunction: Q[ye] + }, Ee; + } + Q[ye] = ee[ye]; + } + } + const Ae = o; + o = function(Q) { + const ee = typeof Q == "string", ye = ee ? 1 : 0; + let Ee = ee ? Q : ""; + const Ce = {}; + for (let De = ye; De < arguments.length; ++De) { + const Oe = arguments[De]; + let Be = {}, Le; + if (typeof Oe == "function" ? (Le = Oe.name, typeof Oe.signature == "string" ? Be[Oe.signature] = Oe : h(Oe) && (Be = Oe.signatures)) : t(Oe) && (Be = Oe, ee || (Le = ie(Oe))), Object.keys(Be).length === 0) { + const Re = new TypeError("Argument to 'typed' at index " + De + " is not a (typed) function, nor an object with signatures as keys and functions as values."); + throw Re.data = { + index: De, + argument: Oe + }, Re; + } + ee || (Ee = X(Ee, Le)), me(Ce, Be); + } + return K(Ee || "", Ce); + }, o.create = y2, o.createCount = Ae.createCount, o.onMismatch = ce, o.throwMismatchError = ce, o.createError = q, o.clear = f, o.clearConversions = l, o.addTypes = u, o._findType = p, o.referTo = we, o.referToSelf = V, o.convert = v, o.findSignature = d, o.find = g, o.isTypedFunction = h, o.warnAgainstDeprecatedThis = !0, o.addType = function(Q, ee) { + let ye = "any"; + ee !== !1 && n.has("Object") && (ye = "Object"), o.addTypes([Q], ye); + }; + function Me(Q) { + if (!Q || typeof Q.from != "string" || typeof Q.to != "string" || typeof Q.convert != "function") + throw new TypeError("Object with properties {from: string, to: string, convert: function} expected"); + if (Q.to === Q.from) + throw new SyntaxError('Illegal to define conversion from "' + Q.from + '" to itself.'); + } + return o.addConversion = function(Q) { + let ee = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : { + override: !1 + }; + Me(Q); + const ye = p(Q.to), Ee = ye.conversionsTo.find((Ce) => Ce.from === Q.from); + if (Ee) + if (ee && ee.override) + o.removeConversion({ + from: Ee.from, + to: Q.to, + convert: Ee.convert + }); + else + throw new Error('There is already a conversion from "' + Q.from + '" to "' + ye.name + '"'); + ye.conversionsTo.push({ + from: Q.from, + convert: Q.convert, + index: s++ + }); + }, o.addConversions = function(Q, ee) { + Q.forEach((ye) => o.addConversion(ye, ee)); + }, o.removeConversion = function(Q) { + Me(Q); + const ee = p(Q.to), ye = he(ee.conversionsTo, (Ce) => Ce.from === Q.from); + if (!ye) + throw new Error("Attempt to remove nonexistent conversion from " + Q.from + " to " + Q.to); + if (ye.convert !== Q.convert) + throw new Error("Conversion to remove does not match existing conversion"); + const Ee = ee.conversionsTo.indexOf(ye); + ee.conversionsTo.splice(Ee, 1); + }, o.resolve = function(Q, ee) { + if (!h(Q)) + throw new TypeError(Hg); + const ye = Q._typedFunctionData.signatures; + for (let Ee = 0; Ee < ye.length; ++Ee) + if (ye[Ee].test(ee)) + return ye[Ee]; + return null; + }, o; +} +const ea = y2(); +function Xe(t) { + return typeof t == "boolean" ? !0 : isFinite(t) ? t === Math.round(t) : !1; +} +function VS(t) { + return /^-?\d+$/.test(t); +} +function Ii(t, e) { + return e.number === "bigint" && !VS(t) ? e.numberFallback : e.number; +} +var Ci = Math.sign || function(t) { + return t > 0 ? 1 : t < 0 ? -1 : 0; +}, WS = Math.log2 || function(e) { + return Math.log(e) / Math.LN2; +}, jS = Math.log10 || function(e) { + return Math.log(e) / Math.LN10; +}, ZS = Math.log1p || function(t) { + return Math.log(t + 1); +}, JS = Math.cbrt || function(e) { + if (e === 0) + return e; + var r = e < 0, n; + return r && (e = -e), isFinite(e) ? (n = Math.exp(Math.log(e) / 3), n = (e / (n * n) + 2 * n) / 3) : n = e, r ? -n : n; +}, YS = Math.expm1 || function(e) { + return e >= 2e-4 || e <= -2e-4 ? Math.exp(e) - 1 : e + e * e / 2 + e * e * e / 6; +}; +function Im(t, e, r) { + var n = { + 2: "0b", + 8: "0o", + 16: "0x" + }, a = n[e], s = ""; + if (r) { + if (r < 1) + throw new Error("size must be in greater than 0"); + if (!Xe(r)) + throw new Error("size must be an integer"); + if (t > 2 ** (r - 1) - 1 || t < -(2 ** (r - 1))) + throw new Error("Value must be in range [-2^".concat(r - 1, ", 2^").concat(r - 1, "-1]")); + if (!Xe(t)) + throw new Error("Value must be an integer"); + t < 0 && (t = t + 2 ** r), s = "i".concat(r); + } + var o = ""; + return t < 0 && (t = -t, o = "-"), "".concat(o).concat(a).concat(t.toString(e)).concat(s); +} +function na(t, e) { + if (typeof e == "function") + return e(t); + if (t === 1 / 0) + return "Infinity"; + if (t === -1 / 0) + return "-Infinity"; + if (isNaN(t)) + return "NaN"; + var { + notation: r, + precision: n, + wordSize: a + } = x2(e); + switch (r) { + case "fixed": + return b2(t, n); + case "exponential": + return w2(t, n); + case "engineering": + return XS(t, n); + case "bin": + return Im(t, 2, a); + case "oct": + return Im(t, 8, a); + case "hex": + return Im(t, 16, a); + case "auto": + return KS(t, n, e).replace(/((\.\d*?)(0+))($|e)/, function() { + var s = arguments[2], o = arguments[4]; + return s !== "." ? s + o : o; + }); + default: + throw new Error('Unknown notation "' + r + '". Choose "auto", "exponential", "fixed", "bin", "oct", or "hex.'); + } +} +function x2(t) { + var e = "auto", r, n; + if (t !== void 0) + if (ht(t)) + r = t; + else if (ct(t)) + r = t.toNumber(); + else if (Wa(t)) + t.precision !== void 0 && (r = Qg(t.precision, () => { + throw new Error('Option "precision" must be a number or BigNumber'); + })), t.wordSize !== void 0 && (n = Qg(t.wordSize, () => { + throw new Error('Option "wordSize" must be a number or BigNumber'); + })), t.notation && (e = t.notation); + else + throw new Error("Unsupported type of options, number, BigNumber, or object expected"); + return { + notation: e, + precision: r, + wordSize: n + }; +} +function $s(t) { + var e = String(t).toLowerCase().match(/^(-?)(\d+\.?\d*)(e([+-]?\d+))?$/); + if (!e) + throw new SyntaxError("Invalid number " + t); + var r = e[1], n = e[2], a = parseFloat(e[4] || "0"), s = n.indexOf("."); + a += s !== -1 ? s - 1 : n.length - 1; + var o = n.replace(".", "").replace(/^0*/, function(p) { + return a -= p.length, ""; + }).replace(/0*$/, "").split("").map(function(p) { + return parseInt(p); + }); + return o.length === 0 && (o.push(0), a++), { + sign: r, + coefficients: o, + exponent: a + }; +} +function XS(t, e) { + if (isNaN(t) || !isFinite(t)) + return String(t); + var r = $s(t), n = Su(r, e), a = n.exponent, s = n.coefficients, o = a % 3 === 0 ? a : a < 0 ? a - 3 - a % 3 : a - a % 3; + if (ht(e)) + for (; e > s.length || a - o + 1 > s.length; ) + s.push(0); + else + for (var p = Math.abs(a - o) - (s.length - 1), u = 0; u < p; u++) + s.push(0); + for (var f = Math.abs(a - o), l = 1; f > 0; ) + l++, f--; + var c = s.slice(l).join(""), h = ht(e) && c.length || c.match(/[1-9]/) ? "." + c : "", d = s.slice(0, l).join("") + h + "e" + (a >= 0 ? "+" : "") + o.toString(); + return n.sign + d; +} +function b2(t, e) { + if (isNaN(t) || !isFinite(t)) + return String(t); + var r = $s(t), n = typeof e == "number" ? Su(r, r.exponent + 1 + e) : r, a = n.coefficients, s = n.exponent + 1, o = s + (e || 0); + return a.length < o && (a = a.concat(qa(o - a.length))), s < 0 && (a = qa(-s + 1).concat(a), s = 1), s < a.length && a.splice(s, 0, s === 0 ? "0." : "."), n.sign + a.join(""); +} +function w2(t, e) { + if (isNaN(t) || !isFinite(t)) + return String(t); + var r = $s(t), n = e ? Su(r, e) : r, a = n.coefficients, s = n.exponent; + a.length < e && (a = a.concat(qa(e - a.length))); + var o = a.shift(); + return n.sign + o + (a.length > 0 ? "." + a.join("") : "") + "e" + (s >= 0 ? "+" : "") + s; +} +function KS(t, e, r) { + if (isNaN(t) || !isFinite(t)) + return String(t); + var n = Vg(r?.lowerExp, -3), a = Vg(r?.upperExp, 5), s = $s(t), o = e ? Su(s, e) : s; + if (o.exponent < n || o.exponent >= a) + return w2(t, e); + var p = o.coefficients, u = o.exponent; + p.length < e && (p = p.concat(qa(e - p.length))), p = p.concat(qa(u - p.length + 1 + (p.length < e ? e - p.length : 0))), p = qa(-u).concat(p); + var f = u > 0 ? u : 0; + return f < p.length - 1 && p.splice(f + 1, 0, "."), o.sign + p.join(""); +} +function Su(t, e) { + for (var r = { + sign: t.sign, + coefficients: t.coefficients, + exponent: t.exponent + }, n = r.coefficients; e <= 0; ) + n.unshift(0), r.exponent++, e++; + if (n.length > e) { + var a = n.splice(e, n.length - e); + if (a[0] >= 5) { + var s = e - 1; + for (n[s]++; n[s] === 10; ) + n.pop(), s === 0 && (n.unshift(0), r.exponent++, s++), s--, n[s]++; + } + } + return r; +} +function qa(t) { + for (var e = [], r = 0; r < t; r++) + e.push(0); + return e; +} +function eC(t) { + return t.toExponential().replace(/e.*$/, "").replace(/^0\.?0*|\./, "").length; +} +function Lr(t, e) { + var r = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : 1e-8, n = arguments.length > 3 && arguments[3] !== void 0 ? arguments[3] : 0; + if (r <= 0) + throw new Error("Relative tolerance must be greater than 0"); + if (n < 0) + throw new Error("Absolute tolerance must be at least 0"); + return isNaN(t) || isNaN(e) ? !1 : !isFinite(t) || !isFinite(e) ? t === e : t === e ? !0 : Math.abs(t - e) <= Math.max(r * Math.max(Math.abs(t), Math.abs(e)), n); +} +var tC = Math.acosh || function(t) { + return Math.log(Math.sqrt(t * t - 1) + t); +}, rC = Math.asinh || function(t) { + return Math.log(Math.sqrt(t * t + 1) + t); +}, nC = Math.atanh || function(t) { + return Math.log((1 + t) / (1 - t)) / 2; +}, iC = Math.cosh || function(t) { + return (Math.exp(t) + Math.exp(-t)) / 2; +}, aC = Math.sinh || function(t) { + return (Math.exp(t) - Math.exp(-t)) / 2; +}, sC = Math.tanh || function(t) { + var e = Math.exp(2 * t); + return (e - 1) / (e + 1); +}; +function oC(t, e) { + var r = !0, n = e > 0 ? !0 : e < 0 ? !1 : 1 / e === 1 / 0; + return r ^ n ? -t : t; +} +function Qg(t, e) { + if (ht(t)) + return t; + if (ct(t)) + return t.toNumber(); + e(); +} +function Vg(t, e) { + return ht(t) ? t : ct(t) ? t.toNumber() : e; +} +function j(t, e, r, n) { + function a(s) { + var o = HS(s, e.map(N2)); + return uC(t, e, s), r(o); + } + return a.isFactory = !0, a.fn = t, a.dependencies = e.slice().sort(), n && (a.meta = n), a; +} +function Ms(t) { + return typeof t == "function" && typeof t.fn == "string" && Array.isArray(t.dependencies); +} +function uC(t, e, r) { + var n = e.filter((s) => !lC(s)).every((s) => r[s] !== void 0); + if (!n) { + var a = e.filter((s) => r[s] === void 0); + throw new Error('Cannot create function "'.concat(t, '", ') + "some dependencies are missing: ".concat(a.map((s) => '"'.concat(s, '"')).join(", "), ".")); + } +} +function lC(t) { + return t && t[0] === "?"; +} +function N2(t) { + return t && t[0] === "?" ? t.slice(1) : t; +} +function Kr(t, e) { + if (A2(t) && D2(t, e)) + return t[e]; + throw typeof t[e] == "function" && Nd(t, e) ? new Error('Cannot access method "' + e + '" as a property') : new Error('No access to property "' + e + '"'); +} +function La(t, e, r) { + if (A2(t) && D2(t, e)) + return t[e] = r, r; + throw new Error('No access to property "' + e + '"'); +} +function cC(t, e) { + return e in t; +} +function D2(t, e) { + return !t || typeof t != "object" ? !1 : We(pC, e) ? !0 : !(e in Object.prototype || e in Function.prototype); +} +function fC(t, e) { + if (!Nd(t, e)) + throw new Error('No access to method "' + e + '"'); + return t[e]; +} +function Nd(t, e) { + return t == null || typeof t[e] != "function" || We(t, e) && Object.getPrototypeOf && e in Object.getPrototypeOf(t) ? !1 : We(hC, e) ? !0 : !(e in Object.prototype || e in Function.prototype); +} +function A2(t) { + return typeof t == "object" && t && t.constructor === Object; +} +var pC = { + length: !0, + name: !0 +}, hC = { + toString: !0, + valueOf: !0, + toLocaleString: !0 +}; +class Cu { + constructor(e) { + this.wrappedObject = e, this[Symbol.iterator] = this.entries; + } + keys() { + return Object.keys(this.wrappedObject).values(); + } + get(e) { + return Kr(this.wrappedObject, e); + } + set(e, r) { + return La(this.wrappedObject, e, r), this; + } + has(e) { + return cC(this.wrappedObject, e); + } + entries() { + return S2(this.keys(), (e) => [e, this.get(e)]); + } + forEach(e) { + for (var r of this.keys()) + e(this.get(r), r, this); + } + delete(e) { + delete this.wrappedObject[e]; + } + clear() { + for (var e of this.keys()) + this.delete(e); + } + get size() { + return Object.keys(this.wrappedObject).length; + } +} +class E2 { + /** + * @param {Map} a + * @param {Map} b + * @param {Set} bKeys + */ + constructor(e, r, n) { + this.a = e, this.b = r, this.bKeys = n, this[Symbol.iterator] = this.entries; + } + get(e) { + return this.bKeys.has(e) ? this.b.get(e) : this.a.get(e); + } + set(e, r) { + return this.bKeys.has(e) ? this.b.set(e, r) : this.a.set(e, r), this; + } + has(e) { + return this.b.has(e) || this.a.has(e); + } + keys() { + return (/* @__PURE__ */ new Set([...this.a.keys(), ...this.b.keys()]))[Symbol.iterator](); + } + entries() { + return S2(this.keys(), (e) => [e, this.get(e)]); + } + forEach(e) { + for (var r of this.keys()) + e(this.get(r), r, this); + } + delete(e) { + return this.bKeys.has(e) ? this.b.delete(e) : this.a.delete(e); + } + clear() { + this.a.clear(), this.b.clear(); + } + get size() { + return [...this.keys()].length; + } +} +function S2(t, e) { + return { + next: () => { + var r = t.next(); + return r.done ? r : { + value: e(r.value), + done: !1 + }; + } + }; +} +function Os() { + return /* @__PURE__ */ new Map(); +} +function Ia(t) { + if (!t) + return Os(); + if (C2(t)) + return t; + if (Wa(t)) + return new Cu(t); + throw new Error("createMap can create maps from objects or Maps"); +} +function mC(t) { + if (t instanceof Cu) + return t.wrappedObject; + var e = {}; + for (var r of t.keys()) { + var n = t.get(r); + La(e, r, n); + } + return e; +} +function C2(t) { + return t ? t instanceof Map || t instanceof Cu || typeof t.set == "function" && typeof t.get == "function" && typeof t.keys == "function" && typeof t.has == "function" : !1; +} +var T2 = function() { + return T2 = ea.create, ea; +}, dC = ["?BigNumber", "?Complex", "?DenseMatrix", "?Fraction"], Tu = /* @__PURE__ */ j("typed", dC, function(e) { + var { + BigNumber: r, + Complex: n, + DenseMatrix: a, + Fraction: s + } = e, o = T2(); + return o.clear(), o.addTypes([ + { + name: "number", + test: ht + }, + { + name: "Complex", + test: Mn + }, + { + name: "BigNumber", + test: ct + }, + { + name: "bigint", + test: ld + }, + { + name: "Fraction", + test: Fi + }, + { + name: "Unit", + test: Xr + }, + // The following type matches a valid variable name, i.e., an alphanumeric + // string starting with an alphabetic character. It is used (at least) + // in the definition of the derivative() function, as the argument telling + // what to differentiate over must (currently) be a variable. + { + name: "identifier", + test: (p) => Er && 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+ }, + { + name: "string", + test: Er + }, + { + name: "Chain", + test: Eu + }, + { + name: "Array", + test: Rt + }, + { + name: "Matrix", + test: tt + }, + { + name: "DenseMatrix", + test: Ra + }, + { + name: "SparseMatrix", + test: oi + }, + { + name: "Range", + test: ks + }, + { + name: "Index", + test: Va + }, + { + name: "boolean", + test: cd + }, + { + name: "ResultSet", + test: fd + }, + { + name: "Help", + test: Au + }, + { + name: "function", + test: pd + }, + { + name: "Date", + test: hd + }, + { + name: "RegExp", + test: md + }, + { + name: "null", + test: dd + }, + { + name: "undefined", + test: vd + }, + { + name: "AccessorNode", + test: pi + }, + { + name: "ArrayNode", + test: un + }, + { + name: "AssignmentNode", + test: gd + }, + { + name: "BlockNode", + test: yd + }, + { + name: "ConditionalNode", + test: xd + }, + { + name: "ConstantNode", + test: Ct + }, + { + name: "FunctionNode", + test: Wn + }, + { + name: "FunctionAssignmentNode", + test: oa + }, + { + name: "IndexNode", + test: qi + }, + { + name: "Node", + test: Ut + }, + { + name: "ObjectNode", + test: ja + }, + { + name: "OperatorNode", + test: or + }, + { + name: "ParenthesisNode", + test: kn + }, + { + name: "RangeNode", + test: bd + }, + { + name: "RelationalNode", + test: wd + }, + { + name: "SymbolNode", + test: mr + }, + { + name: "Map", + test: C2 + }, + { + name: "Object", + test: Wa + } + // order 'Object' last, it matches on other classes too + ]), o.addConversions([{ + from: "number", + to: "BigNumber", + convert: function(u) { + if (r || Mo(u), eC(u) > 15) + throw new TypeError("Cannot implicitly convert a number with >15 significant digits to BigNumber (value: " + u + "). Use function bignumber(x) to convert to BigNumber."); + return new r(u); + } + }, { + from: "number", + to: "Complex", + convert: function(u) { + return n || Oo(u), new n(u, 0); + } + }, { + from: "BigNumber", + to: "Complex", + convert: function(u) { + return n || Oo(u), new n(u.toNumber(), 0); + } + }, { + from: "bigint", + to: "number", + convert: function(u) { + if (u > Number.MAX_SAFE_INTEGER) + throw new TypeError("Cannot implicitly convert bigint to number: value exceeds the max safe integer value (value: " + u + ")"); + return Number(u); + } + }, { + from: "bigint", + to: "BigNumber", + convert: function(u) { + return r || Mo(u), new r(u.toString()); + } + }, { + from: "bigint", + to: "Fraction", + convert: function(u) { + return s || Fo(u), new s(u.toString()); + } + }, { + from: "Fraction", + to: "BigNumber", + convert: function(u) { + throw new TypeError("Cannot implicitly convert a Fraction to BigNumber or vice versa. Use function bignumber(x) to convert to BigNumber or fraction(x) to convert to Fraction."); + } + }, { + from: "Fraction", + to: "Complex", + convert: function(u) { + return n || Oo(u), new n(u.valueOf(), 0); + } + }, { + from: "number", + to: "Fraction", + convert: function(u) { + s || Fo(u); + var f = new s(u); + if (f.valueOf() !== u) + throw new TypeError("Cannot implicitly convert a number to a Fraction when there will be a loss of precision (value: " + u + "). Use function fraction(x) to convert to Fraction."); + return f; + } + }, { + // FIXME: add conversion from Fraction to number, for example for `sqrt(fraction(1,3))` + // from: 'Fraction', + // to: 'number', + // convert: function (x) { + // return x.valueOf() + // } + // }, { + from: "string", + to: "number", + convert: function(u) { + var f = Number(u); + if (isNaN(f)) + throw new Error('Cannot convert "' + u + '" to a number'); + return f; + } + }, { + from: "string", + to: "BigNumber", + convert: function(u) { + r || Mo(u); + try { + return new r(u); + } catch { + throw new Error('Cannot convert "' + u + '" to BigNumber'); + } + } + }, { + from: "string", + to: "bigint", + convert: function(u) { + try { + return BigInt(u); + } catch { + throw new Error('Cannot convert "' + u + '" to BigInt'); + } + } + }, { + from: "string", + to: "Fraction", + convert: function(u) { + s || Fo(u); + try { + return new s(u); + } catch { + throw new Error('Cannot convert "' + u + '" to Fraction'); + } + } + }, { + from: "string", + to: "Complex", + convert: function(u) { + n || Oo(u); + try { + return new n(u); + } catch { + throw new Error('Cannot convert "' + u + '" to Complex'); + } + } + }, { + from: "boolean", + to: "number", + convert: function(u) { + return +u; + } + }, { + from: "boolean", + to: "BigNumber", + convert: function(u) { + return r || Mo(u), new r(+u); + } + }, { + from: "boolean", + to: "bigint", + convert: function(u) { + return BigInt(+u); + } + }, { + from: "boolean", + to: "Fraction", + convert: function(u) { + return s || Fo(u), new s(+u); + } + }, { + from: "boolean", + to: "string", + convert: function(u) { + return String(u); + } + }, { + from: "Array", + to: "Matrix", + convert: function(u) { + return a || vC(), new a(u); + } + }, { + from: "Matrix", + to: "Array", + convert: function(u) { + return u.valueOf(); + } + }]), o.onMismatch = (p, u, f) => { + var l = o.createError(p, u, f); + if (["wrongType", "mismatch"].includes(l.data.category) && u.length === 1 && cn(u[0]) && // check if the function can be unary: + f.some((h) => !h.params.includes(","))) { + var c = new TypeError("Function '".concat(p, "' doesn't apply to matrices. To call it ") + "elementwise on a matrix 'M', try 'map(M, ".concat(p, ")'.")); + throw c.data = l.data, c; + } + throw l; + }, o.onMismatch = (p, u, f) => { + var l = o.createError(p, u, f); + if (["wrongType", "mismatch"].includes(l.data.category) && u.length === 1 && cn(u[0]) && // check if the function can be unary: + f.some((h) => !h.params.includes(","))) { + var c = new TypeError("Function '".concat(p, "' doesn't apply to matrices. To call it ") + "elementwise on a matrix 'M', try 'map(M, ".concat(p, ")'.")); + throw c.data = l.data, c; + } + throw l; + }, o; +}); +function Mo(t) { + throw new Error("Cannot convert value ".concat(t, " into a BigNumber: no class 'BigNumber' provided")); +} +function Oo(t) { + throw new Error("Cannot convert value ".concat(t, " into a Complex number: no class 'Complex' provided")); +} +function vC() { + throw new Error("Cannot convert array into a Matrix: no class 'DenseMatrix' provided"); +} +function Fo(t) { + throw new Error("Cannot convert value ".concat(t, " into a Fraction, no class 'Fraction' provided.")); +} +var gC = "ResultSet", yC = [], _u = /* @__PURE__ */ j(gC, yC, () => { + function t(e) { + if (!(this instanceof t)) + throw new SyntaxError("Constructor must be called with the new operator"); + this.entries = e || []; + } + return t.prototype.type = "ResultSet", t.prototype.isResultSet = !0, t.prototype.valueOf = function() { + return this.entries; + }, t.prototype.toString = function() { + return "[" + this.entries.join(", ") + "]"; + }, t.prototype.toJSON = function() { + return { + mathjs: "ResultSet", + entries: this.entries + }; + }, t.fromJSON = function(e) { + return new t(e.entries); + }, t; +}, { + isClass: !0 +}); +/*! + * decimal.js v10.4.3 + * An arbitrary-precision Decimal type for JavaScript. + * https://github.com/MikeMcl/decimal.js + * Copyright (c) 2022 Michael Mclaughlin + * MIT Licence + */ +var Ma = 9e15, Bi = 1e9, Hm = "0123456789abcdef", Ko = "2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058", eu = "3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789", Qm = { + // These values must be integers within the stated ranges (inclusive). + // Most of these values can be changed at run-time using the `Decimal.config` method. + // The maximum number of significant digits of the result of a calculation or base conversion. + // E.g. `Decimal.config({ precision: 20 });` + precision: 20, + // 1 to MAX_DIGITS + // The rounding mode used when rounding to `precision`. + // + // ROUND_UP 0 Away from zero. + // ROUND_DOWN 1 Towards zero. + // ROUND_CEIL 2 Towards +Infinity. + // ROUND_FLOOR 3 Towards -Infinity. + // ROUND_HALF_UP 4 Towards nearest neighbour. If equidistant, up. + // ROUND_HALF_DOWN 5 Towards nearest neighbour. If equidistant, down. + // ROUND_HALF_EVEN 6 Towards nearest neighbour. If equidistant, towards even neighbour. + // ROUND_HALF_CEIL 7 Towards nearest neighbour. If equidistant, towards +Infinity. + // ROUND_HALF_FLOOR 8 Towards nearest neighbour. If equidistant, towards -Infinity. + // + // E.g. + // `Decimal.rounding = 4;` + // `Decimal.rounding = Decimal.ROUND_HALF_UP;` + rounding: 4, + // 0 to 8 + // The modulo mode used when calculating the modulus: a mod n. + // The quotient (q = a / n) is calculated according to the corresponding rounding mode. + // The remainder (r) is calculated as: r = a - n * q. + // + // UP 0 The remainder is positive if the dividend is negative, else is negative. + // DOWN 1 The remainder has the same sign as the dividend (JavaScript %). + // FLOOR 3 The remainder has the same sign as the divisor (Python %). + // HALF_EVEN 6 The IEEE 754 remainder function. + // EUCLID 9 Euclidian division. q = sign(n) * floor(a / abs(n)). Always positive. + // + // Truncated division (1), floored division (3), the IEEE 754 remainder (6), and Euclidian + // division (9) are commonly used for the modulus operation. The other rounding modes can also + // be used, but they may not give useful results. + modulo: 1, + // 0 to 9 + // The exponent value at and beneath which `toString` returns exponential notation. + // JavaScript numbers: -7 + toExpNeg: -7, + // 0 to -EXP_LIMIT + // The exponent value at and above which `toString` returns exponential notation. + // JavaScript numbers: 21 + toExpPos: 21, + // 0 to EXP_LIMIT + // The minimum exponent value, beneath which underflow to zero occurs. + // JavaScript numbers: -324 (5e-324) + minE: -Ma, + // -1 to -EXP_LIMIT + // The maximum exponent value, above which overflow to Infinity occurs. + // JavaScript numbers: 308 (1.7976931348623157e+308) + maxE: Ma, + // 1 to EXP_LIMIT + // Whether to use cryptographically-secure random number generation, if available. + crypto: !1 + // true/false +}, _2, ui, mt = !0, Mu = "[DecimalError] ", _i = Mu + "Invalid argument: ", M2 = Mu + "Precision limit exceeded", O2 = Mu + "crypto unavailable", F2 = "[object Decimal]", Wr = Math.floor, gr = Math.pow, xC = /^0b([01]+(\.[01]*)?|\.[01]+)(p[+-]?\d+)?$/i, bC = /^0x([0-9a-f]+(\.[0-9a-f]*)?|\.[0-9a-f]+)(p[+-]?\d+)?$/i, wC = /^0o([0-7]+(\.[0-7]*)?|\.[0-7]+)(p[+-]?\d+)?$/i, q2 = /^(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i, Pn = 1e7, at = 7, NC = 9007199254740991, DC = Ko.length - 1, Vm = eu.length - 1, ke = { toStringTag: F2 }; +ke.absoluteValue = ke.abs = function() { + var t = new this.constructor(this); + return t.s < 0 && (t.s = 1), et(t); +}; +ke.ceil = function() { + return et(new this.constructor(this), this.e + 1, 2); +}; +ke.clampedTo = ke.clamp = function(t, e) { + var r, n = this, a = n.constructor; + if (t = new a(t), e = new a(e), !t.s || !e.s) return new a(NaN); + if (t.gt(e)) throw Error(_i + e); + return r = n.cmp(t), r < 0 ? t : n.cmp(e) > 0 ? e : new a(n); +}; +ke.comparedTo = ke.cmp = function(t) { + var e, r, n, a, s = this, o = s.d, p = (t = new s.constructor(t)).d, u = s.s, f = t.s; + if (!o || !p) + return !u || !f ? NaN : u !== f ? u : o === p ? 0 : !o ^ u < 0 ? 1 : -1; + if (!o[0] || !p[0]) return o[0] ? u : p[0] ? -f : 0; + if (u !== f) return u; + if (s.e !== t.e) return s.e > t.e ^ u < 0 ? 1 : -1; + for (n = o.length, a = p.length, e = 0, r = n < a ? n : a; e < r; ++e) + if (o[e] !== p[e]) return o[e] > p[e] ^ u < 0 ? 1 : -1; + return n === a ? 0 : n > a ^ u < 0 ? 1 : -1; +}; +ke.cosine = ke.cos = function() { + var t, e, r = this, n = r.constructor; + return r.d ? r.d[0] ? (t = n.precision, e = n.rounding, n.precision = t + Math.max(r.e, r.sd()) + at, n.rounding = 1, r = AC(n, P2(n, r)), n.precision = t, n.rounding = e, et(ui == 2 || ui == 3 ? r.neg() : r, t, e, !0)) : new n(1) : new n(NaN); +}; +ke.cubeRoot = ke.cbrt = function() { + var t, e, r, n, a, s, o, p, u, f, l = this, c = l.constructor; + if (!l.isFinite() || l.isZero()) return new c(l); + for (mt = !1, s = l.s * gr(l.s * l, 1 / 3), !s || Math.abs(s) == 1 / 0 ? (r = Ir(l.d), t = l.e, (s = (t - r.length + 1) % 3) && (r += s == 1 || s == -2 ? "0" : "00"), s = gr(r, 1 / 3), t = Wr((t + 1) / 3) - (t % 3 == (t < 0 ? -1 : 2)), s == 1 / 0 ? r = "5e" + t : (r = s.toExponential(), r = r.slice(0, r.indexOf("e") + 1) + t), n = new c(r), n.s = l.s) : n = new c(s.toString()), o = (t = c.precision) + 3; ; ) + if (p = n, u = p.times(p).times(p), f = u.plus(l), n = Yt(f.plus(l).times(p), f.plus(u), o + 2, 1), Ir(p.d).slice(0, o) === (r = Ir(n.d)).slice(0, o)) + if (r = r.slice(o - 3, o + 1), r == "9999" || !a && r == "4999") { + if (!a && (et(p, t + 1, 0), p.times(p).times(p).eq(l))) { + n = p; + break; + } + o += 4, a = 1; + } else { + (!+r || !+r.slice(1) && r.charAt(0) == "5") && (et(n, t + 1, 1), e = !n.times(n).times(n).eq(l)); + break; + } + return mt = !0, et(n, t, c.rounding, e); +}; +ke.decimalPlaces = ke.dp = function() { + var t, e = this.d, r = NaN; + if (e) { + if (t = e.length - 1, r = (t - Wr(this.e / at)) * at, t = e[t], t) for (; t % 10 == 0; t /= 10) r--; + r < 0 && (r = 0); + } + return r; +}; +ke.dividedBy = ke.div = function(t) { + return Yt(this, new this.constructor(t)); +}; +ke.dividedToIntegerBy = ke.divToInt = function(t) { + var e = this, r = e.constructor; + return et(Yt(e, new r(t), 0, 1, 1), r.precision, r.rounding); +}; +ke.equals = ke.eq = function(t) { + return this.cmp(t) === 0; +}; +ke.floor = function() { + return et(new this.constructor(this), this.e + 1, 3); +}; +ke.greaterThan = ke.gt = function(t) { + return this.cmp(t) > 0; +}; +ke.greaterThanOrEqualTo = ke.gte = function(t) { + var e = this.cmp(t); + return e == 1 || e === 0; +}; +ke.hyperbolicCosine = ke.cosh = function() { + var t, e, r, n, a, s = this, o = s.constructor, p = new o(1); + if (!s.isFinite()) return new o(s.s ? 1 / 0 : NaN); + if (s.isZero()) return p; + r = o.precision, n = o.rounding, o.precision = r + Math.max(s.e, s.sd()) + 4, o.rounding = 1, a = s.d.length, a < 32 ? (t = Math.ceil(a / 3), e = (1 / Fu(4, t)).toString()) : (t = 16, e = "2.3283064365386962890625e-10"), s = Pa(o, 1, s.times(e), new o(1), !0); + for (var u, f = t, l = new o(8); f--; ) + u = s.times(s), s = p.minus(u.times(l.minus(u.times(l)))); + return et(s, o.precision = r, o.rounding = n, !0); +}; +ke.hyperbolicSine = ke.sinh = function() { + var t, e, r, n, a = this, s = a.constructor; + if (!a.isFinite() || a.isZero()) return new s(a); + if (e = s.precision, r = s.rounding, s.precision = e + Math.max(a.e, a.sd()) + 4, s.rounding = 1, n = a.d.length, n < 3) + a = Pa(s, 2, a, a, !0); + else { + t = 1.4 * Math.sqrt(n), t = t > 16 ? 16 : t | 0, a = a.times(1 / Fu(5, t)), a = Pa(s, 2, a, a, !0); + for (var o, p = new s(5), u = new s(16), f = new s(20); t--; ) + o = a.times(a), a = a.times(p.plus(o.times(u.times(o).plus(f)))); + } + return s.precision = e, s.rounding = r, et(a, e, r, !0); +}; +ke.hyperbolicTangent = ke.tanh = function() { + var t, e, r = this, n = r.constructor; + return r.isFinite() ? r.isZero() ? new n(r) : (t = n.precision, e = n.rounding, n.precision = t + 7, n.rounding = 1, Yt(r.sinh(), r.cosh(), n.precision = t, n.rounding = e)) : new n(r.s); +}; +ke.inverseCosine = ke.acos = function() { + var t, e = this, r = e.constructor, n = e.abs().cmp(1), a = r.precision, s = r.rounding; + return n !== -1 ? n === 0 ? e.isNeg() ? Ln(r, a, s) : new r(0) : new r(NaN) : e.isZero() ? Ln(r, a + 4, s).times(0.5) : (r.precision = a + 6, r.rounding = 1, e = e.asin(), t = Ln(r, a + 4, s).times(0.5), r.precision = a, r.rounding = s, t.minus(e)); +}; +ke.inverseHyperbolicCosine = ke.acosh = function() { + var t, e, r = this, n = r.constructor; + return r.lte(1) ? new n(r.eq(1) ? 0 : NaN) : r.isFinite() ? (t = n.precision, e = n.rounding, n.precision = t + Math.max(Math.abs(r.e), r.sd()) + 4, n.rounding = 1, mt = !1, r = r.times(r).minus(1).sqrt().plus(r), mt = !0, n.precision = t, n.rounding = e, r.ln()) : new n(r); +}; +ke.inverseHyperbolicSine = ke.asinh = function() { + var t, e, r = this, n = r.constructor; + return !r.isFinite() || r.isZero() ? new n(r) : (t = n.precision, e = n.rounding, n.precision = t + 2 * Math.max(Math.abs(r.e), r.sd()) + 6, n.rounding = 1, mt = !1, r = r.times(r).plus(1).sqrt().plus(r), mt = !0, n.precision = t, n.rounding = e, r.ln()); +}; +ke.inverseHyperbolicTangent = ke.atanh = function() { + var t, e, r, n, a = this, s = a.constructor; + return a.isFinite() ? a.e >= 0 ? new s(a.abs().eq(1) ? a.s / 0 : a.isZero() ? a : NaN) : (t = s.precision, e = s.rounding, n = a.sd(), Math.max(n, t) < 2 * -a.e - 1 ? et(new s(a), t, e, !0) : (s.precision = r = n - a.e, a = Yt(a.plus(1), new s(1).minus(a), r + t, 1), s.precision = t + 4, s.rounding = 1, a = a.ln(), s.precision = t, s.rounding = e, a.times(0.5))) : new s(NaN); +}; +ke.inverseSine = ke.asin = function() { + var t, e, r, n, a = this, s = a.constructor; + return a.isZero() ? new s(a) : (e = a.abs().cmp(1), r = s.precision, n = s.rounding, e !== -1 ? e === 0 ? (t = Ln(s, r + 4, n).times(0.5), t.s = a.s, t) : new s(NaN) : (s.precision = r + 6, s.rounding = 1, a = a.div(new s(1).minus(a.times(a)).sqrt().plus(1)).atan(), s.precision = r, s.rounding = n, a.times(2))); +}; +ke.inverseTangent = ke.atan = function() { + var t, e, r, n, a, s, o, p, u, f = this, l = f.constructor, c = l.precision, h = l.rounding; + if (f.isFinite()) { + if (f.isZero()) + return new l(f); + if (f.abs().eq(1) && c + 4 <= Vm) + return o = Ln(l, c + 4, h).times(0.25), o.s = f.s, o; + } else { + if (!f.s) return new l(NaN); + if (c + 4 <= Vm) + return o = Ln(l, c + 4, h).times(0.5), o.s = f.s, o; + } + for (l.precision = p = c + 10, l.rounding = 1, r = Math.min(28, p / at + 2 | 0), t = r; t; --t) f = f.div(f.times(f).plus(1).sqrt().plus(1)); + for (mt = !1, e = Math.ceil(p / at), n = 1, u = f.times(f), o = new l(f), a = f; t !== -1; ) + if (a = a.times(u), s = o.minus(a.div(n += 2)), a = a.times(u), o = s.plus(a.div(n += 2)), o.d[e] !== void 0) for (t = e; o.d[t] === s.d[t] && t--; ) ; + return r && (o = o.times(2 << r - 1)), mt = !0, et(o, l.precision = c, l.rounding = h, !0); +}; +ke.isFinite = function() { + return !!this.d; +}; +ke.isInteger = ke.isInt = function() { + return !!this.d && Wr(this.e / at) > this.d.length - 2; +}; +ke.isNaN = function() { + return !this.s; +}; +ke.isNegative = ke.isNeg = function() { + return this.s < 0; +}; +ke.isPositive = ke.isPos = function() { + return this.s > 0; +}; +ke.isZero = function() { + return !!this.d && this.d[0] === 0; +}; +ke.lessThan = ke.lt = function(t) { + return this.cmp(t) < 0; +}; +ke.lessThanOrEqualTo = ke.lte = function(t) { + return this.cmp(t) < 1; +}; +ke.logarithm = ke.log = function(t) { + var e, r, n, a, s, o, p, u, f = this, l = f.constructor, c = l.precision, h = l.rounding, d = 5; + if (t == null) + t = new l(10), e = !0; + else { + if (t = new l(t), r = t.d, t.s < 0 || !r || !r[0] || t.eq(1)) return new l(NaN); + e = t.eq(10); + } + if (r = f.d, f.s < 0 || !r || !r[0] || f.eq(1)) + return new l(r && !r[0] ? -1 / 0 : f.s != 1 ? NaN : r ? 0 : 1 / 0); + if (e) + if (r.length > 1) + s = !0; + else { + for (a = r[0]; a % 10 === 0; ) a /= 10; + s = a !== 1; + } + if (mt = !1, p = c + d, o = Ti(f, p), n = e ? tu(l, p + 10) : Ti(t, p), u = Yt(o, n, p, 1), Fs(u.d, a = c, h)) + do + if (p += 10, o = Ti(f, p), n = e ? tu(l, p + 10) : Ti(t, p), u = Yt(o, n, p, 1), !s) { + +Ir(u.d).slice(a + 1, a + 15) + 1 == 1e14 && (u = et(u, c + 1, 0)); + break; + } + while (Fs(u.d, a += 10, h)); + return mt = !0, et(u, c, h); +}; +ke.minus = ke.sub = function(t) { + var e, r, n, a, s, o, p, u, f, l, c, h, d = this, g = d.constructor; + if (t = new g(t), !d.d || !t.d) + return !d.s || !t.s ? t = new g(NaN) : d.d ? t.s = -t.s : t = new g(t.d || d.s !== t.s ? d : NaN), t; + if (d.s != t.s) + return t.s = -t.s, d.plus(t); + if (f = d.d, h = t.d, p = g.precision, u = g.rounding, !f[0] || !h[0]) { + if (h[0]) t.s = -t.s; + else if (f[0]) t = new g(d); + else return new g(u === 3 ? -0 : 0); + return mt ? et(t, p, u) : t; + } + if (r = Wr(t.e / at), l = Wr(d.e / at), f = f.slice(), s = l - r, s) { + for (c = s < 0, c ? (e = f, s = -s, o = h.length) : (e = h, r = l, o = f.length), n = Math.max(Math.ceil(p / at), o) + 2, s > n && (s = n, e.length = 1), e.reverse(), n = s; n--; ) e.push(0); + e.reverse(); + } else { + for (n = f.length, o = h.length, c = n < o, c && (o = n), n = 0; n < o; n++) + if (f[n] != h[n]) { + c = f[n] < h[n]; + break; + } + s = 0; + } + for (c && (e = f, f = h, h = e, t.s = -t.s), o = f.length, n = h.length - o; n > 0; --n) f[o++] = 0; + for (n = h.length; n > s; ) { + if (f[--n] < h[n]) { + for (a = n; a && f[--a] === 0; ) f[a] = Pn - 1; + --f[a], f[n] += Pn; + } + f[n] -= h[n]; + } + for (; f[--o] === 0; ) f.pop(); + for (; f[0] === 0; f.shift()) --r; + return f[0] ? (t.d = f, t.e = Ou(f, r), mt ? et(t, p, u) : t) : new g(u === 3 ? -0 : 0); +}; +ke.modulo = ke.mod = function(t) { + var e, r = this, n = r.constructor; + return t = new n(t), !r.d || !t.s || t.d && !t.d[0] ? new n(NaN) : !t.d || r.d && !r.d[0] ? et(new n(r), n.precision, n.rounding) : (mt = !1, n.modulo == 9 ? (e = Yt(r, t.abs(), 0, 3, 1), e.s *= t.s) : e = Yt(r, t, 0, n.modulo, 1), e = e.times(t), mt = !0, r.minus(e)); +}; +ke.naturalExponential = ke.exp = function() { + return Wm(this); +}; +ke.naturalLogarithm = ke.ln = function() { + return Ti(this); +}; +ke.negated = ke.neg = function() { + var t = new this.constructor(this); + return t.s = -t.s, et(t); +}; +ke.plus = ke.add = function(t) { + var e, r, n, a, s, o, p, u, f, l, c = this, h = c.constructor; + if (t = new h(t), !c.d || !t.d) + return !c.s || !t.s ? t = new h(NaN) : c.d || (t = new h(t.d || c.s === t.s ? c : NaN)), t; + if (c.s != t.s) + return t.s = -t.s, c.minus(t); + if (f = c.d, l = t.d, p = h.precision, u = h.rounding, !f[0] || !l[0]) + return l[0] || (t = new h(c)), mt ? et(t, p, u) : t; + if (s = Wr(c.e / at), n = Wr(t.e / at), f = f.slice(), a = s - n, a) { + for (a < 0 ? (r = f, a = -a, o = l.length) : (r = l, n = s, o = f.length), s = Math.ceil(p / at), o = s > o ? s + 1 : o + 1, a > o && (a = o, r.length = 1), r.reverse(); a--; ) r.push(0); + r.reverse(); + } + for (o = f.length, a = l.length, o - a < 0 && (a = o, r = l, l = f, f = r), e = 0; a; ) + e = (f[--a] = f[a] + l[a] + e) / Pn | 0, f[a] %= Pn; + for (e && (f.unshift(e), ++n), o = f.length; f[--o] == 0; ) f.pop(); + return t.d = f, t.e = Ou(f, n), mt ? et(t, p, u) : t; +}; +ke.precision = ke.sd = function(t) { + var e, r = this; + if (t !== void 0 && t !== !!t && t !== 1 && t !== 0) throw Error(_i + t); + return r.d ? (e = I2(r.d), t && r.e + 1 > e && (e = r.e + 1)) : e = NaN, e; +}; +ke.round = function() { + var t = this, e = t.constructor; + return et(new e(t), t.e + 1, e.rounding); +}; +ke.sine = ke.sin = function() { + var t, e, r = this, n = r.constructor; + return r.isFinite() ? r.isZero() ? new n(r) : (t = n.precision, e = n.rounding, n.precision = t + Math.max(r.e, r.sd()) + at, n.rounding = 1, r = SC(n, P2(n, r)), n.precision = t, n.rounding = e, et(ui > 2 ? r.neg() : r, t, e, !0)) : new n(NaN); +}; +ke.squareRoot = ke.sqrt = function() { + var t, e, r, n, a, s, o = this, p = o.d, u = o.e, f = o.s, l = o.constructor; + if (f !== 1 || !p || !p[0]) + return new l(!f || f < 0 && (!p || p[0]) ? NaN : p ? o : 1 / 0); + for (mt = !1, f = Math.sqrt(+o), f == 0 || f == 1 / 0 ? (e = Ir(p), (e.length + u) % 2 == 0 && (e += "0"), f = Math.sqrt(e), u = Wr((u + 1) / 2) - (u < 0 || u % 2), f == 1 / 0 ? e = "5e" + u : (e = f.toExponential(), e = e.slice(0, e.indexOf("e") + 1) + u), n = new l(e)) : n = new l(f.toString()), r = (u = l.precision) + 3; ; ) + if (s = n, n = s.plus(Yt(o, s, r + 2, 1)).times(0.5), Ir(s.d).slice(0, r) === (e = Ir(n.d)).slice(0, r)) + if (e = e.slice(r - 3, r + 1), e == "9999" || !a && e == "4999") { + if (!a && (et(s, u + 1, 0), s.times(s).eq(o))) { + n = s; + break; + } + r += 4, a = 1; + } else { + (!+e || !+e.slice(1) && e.charAt(0) == "5") && (et(n, u + 1, 1), t = !n.times(n).eq(o)); + break; + } + return mt = !0, et(n, u, l.rounding, t); +}; +ke.tangent = ke.tan = function() { + var t, e, r = this, n = r.constructor; + return r.isFinite() ? r.isZero() ? new n(r) : (t = n.precision, e = n.rounding, n.precision = t + 10, n.rounding = 1, r = r.sin(), r.s = 1, r = Yt(r, new n(1).minus(r.times(r)).sqrt(), t + 10, 0), n.precision = t, n.rounding = e, et(ui == 2 || ui == 4 ? r.neg() : r, t, e, !0)) : new n(NaN); +}; +ke.times = ke.mul = function(t) { + var e, r, n, a, s, o, p, u, f, l = this, c = l.constructor, h = l.d, d = (t = new c(t)).d; + if (t.s *= l.s, !h || !h[0] || !d || !d[0]) + return new c(!t.s || h && !h[0] && !d || d && !d[0] && !h ? NaN : !h || !d ? t.s / 0 : t.s * 0); + for (r = Wr(l.e / at) + Wr(t.e / at), u = h.length, f = d.length, u < f && (s = h, h = d, d = s, o = u, u = f, f = o), s = [], o = u + f, n = o; n--; ) s.push(0); + for (n = f; --n >= 0; ) { + for (e = 0, a = u + n; a > n; ) + p = s[a] + d[n] * h[a - n - 1] + e, s[a--] = p % Pn | 0, e = p / Pn | 0; + s[a] = (s[a] + e) % Pn | 0; + } + for (; !s[--o]; ) s.pop(); + return e ? ++r : s.shift(), t.d = s, t.e = Ou(s, r), mt ? et(t, c.precision, c.rounding) : t; +}; +ke.toBinary = function(t, e) { + return Dd(this, 2, t, e); +}; +ke.toDecimalPlaces = ke.toDP = function(t, e) { + var r = this, n = r.constructor; + return r = new n(r), t === void 0 ? r : (fn(t, 0, Bi), e === void 0 ? e = n.rounding : fn(e, 0, 8), et(r, t + r.e + 1, e)); +}; +ke.toExponential = function(t, e) { + var r, n = this, a = n.constructor; + return t === void 0 ? r = jn(n, !0) : (fn(t, 0, Bi), e === void 0 ? e = a.rounding : fn(e, 0, 8), n = et(new a(n), t + 1, e), r = jn(n, !0, t + 1)), n.isNeg() && !n.isZero() ? "-" + r : r; +}; +ke.toFixed = function(t, e) { + var r, n, a = this, s = a.constructor; + return t === void 0 ? r = jn(a) : (fn(t, 0, Bi), e === void 0 ? e = s.rounding : fn(e, 0, 8), n = et(new s(a), t + a.e + 1, e), r = jn(n, !1, t + n.e + 1)), a.isNeg() && !a.isZero() ? "-" + r : r; +}; +ke.toFraction = function(t) { + var e, r, n, a, s, o, p, u, f, l, c, h, d = this, g = d.d, v = d.constructor; + if (!g) return new v(d); + if (f = r = new v(1), n = u = new v(0), e = new v(n), s = e.e = I2(g) - d.e - 1, o = s % at, e.d[0] = gr(10, o < 0 ? at + o : o), t == null) + t = s > 0 ? e : f; + else { + if (p = new v(t), !p.isInt() || p.lt(f)) throw Error(_i + p); + t = p.gt(e) ? s > 0 ? e : f : p; + } + for (mt = !1, p = new v(Ir(g)), l = v.precision, v.precision = s = g.length * at * 2; c = Yt(p, e, 0, 1, 1), a = r.plus(c.times(n)), a.cmp(t) != 1; ) + r = n, n = a, a = f, f = u.plus(c.times(a)), u = a, a = e, e = p.minus(c.times(a)), p = a; + return a = Yt(t.minus(r), n, 0, 1, 1), u = u.plus(a.times(f)), r = r.plus(a.times(n)), u.s = f.s = d.s, h = Yt(f, n, s, 1).minus(d).abs().cmp(Yt(u, r, s, 1).minus(d).abs()) < 1 ? [f, n] : [u, r], v.precision = l, mt = !0, h; +}; +ke.toHexadecimal = ke.toHex = function(t, e) { + return Dd(this, 16, t, e); +}; +ke.toNearest = function(t, e) { + var r = this, n = r.constructor; + if (r = new n(r), t == null) { + if (!r.d) return r; + t = new n(1), e = n.rounding; + } else { + if (t = new n(t), e === void 0 ? e = n.rounding : fn(e, 0, 8), !r.d) return t.s ? r : t; + if (!t.d) + return t.s && (t.s = r.s), t; + } + return t.d[0] ? (mt = !1, r = Yt(r, t, 0, e, 1).times(t), mt = !0, et(r)) : (t.s = r.s, r = t), r; +}; +ke.toNumber = function() { + return +this; +}; +ke.toOctal = function(t, e) { + return Dd(this, 8, t, e); +}; +ke.toPower = ke.pow = function(t) { + var e, r, n, a, s, o, p = this, u = p.constructor, f = +(t = new u(t)); + if (!p.d || !t.d || !p.d[0] || !t.d[0]) return new u(gr(+p, f)); + if (p = new u(p), p.eq(1)) return p; + if (n = u.precision, s = u.rounding, t.eq(1)) return et(p, n, s); + if (e = Wr(t.e / at), e >= t.d.length - 1 && (r = f < 0 ? -f : f) <= NC) + return a = B2(u, p, r, n), t.s < 0 ? new u(1).div(a) : et(a, n, s); + if (o = p.s, o < 0) { + if (e < t.d.length - 1) return new u(NaN); + if (t.d[e] & 1 || (o = 1), p.e == 0 && p.d[0] == 1 && p.d.length == 1) + return p.s = o, p; + } + return r = gr(+p, f), e = r == 0 || !isFinite(r) ? Wr(f * (Math.log("0." + Ir(p.d)) / Math.LN10 + p.e + 1)) : new u(r + "").e, e > u.maxE + 1 || e < u.minE - 1 ? new u(e > 0 ? o / 0 : 0) : (mt = !1, u.rounding = p.s = 1, r = Math.min(12, (e + "").length), a = Wm(t.times(Ti(p, n + r)), n), a.d && (a = et(a, n + 5, 1), Fs(a.d, n, s) && (e = n + 10, a = et(Wm(t.times(Ti(p, e + r)), e), e + 5, 1), +Ir(a.d).slice(n + 1, n + 15) + 1 == 1e14 && (a = et(a, n + 1, 0)))), a.s = o, mt = !0, u.rounding = s, et(a, n, s)); +}; +ke.toPrecision = function(t, e) { + var r, n = this, a = n.constructor; + return t === void 0 ? r = jn(n, n.e <= a.toExpNeg || n.e >= a.toExpPos) : (fn(t, 1, Bi), e === void 0 ? e = a.rounding : fn(e, 0, 8), n = et(new a(n), t, e), r = jn(n, t <= n.e || n.e <= a.toExpNeg, t)), n.isNeg() && !n.isZero() ? "-" + r : r; +}; +ke.toSignificantDigits = ke.toSD = function(t, e) { + var r = this, n = r.constructor; + return t === void 0 ? (t = n.precision, e = n.rounding) : (fn(t, 1, Bi), e === void 0 ? e = n.rounding : fn(e, 0, 8)), et(new n(r), t, e); +}; +ke.toString = function() { + var t = this, e = t.constructor, r = jn(t, t.e <= e.toExpNeg || t.e >= e.toExpPos); + return t.isNeg() && !t.isZero() ? "-" + r : r; +}; +ke.truncated = ke.trunc = function() { + return et(new this.constructor(this), this.e + 1, 1); +}; +ke.valueOf = ke.toJSON = function() { + var t = this, e = t.constructor, r = jn(t, t.e <= e.toExpNeg || t.e >= e.toExpPos); + return t.isNeg() ? "-" + r : r; +}; +function Ir(t) { + var e, r, n, a = t.length - 1, s = "", o = t[0]; + if (a > 0) { + for (s += o, e = 1; e < a; e++) + n = t[e] + "", r = at - n.length, r && (s += Ei(r)), s += n; + o = t[e], n = o + "", r = at - n.length, r && (s += Ei(r)); + } else if (o === 0) + return "0"; + for (; o % 10 === 0; ) o /= 10; + return s + o; +} +function fn(t, e, r) { + if (t !== ~~t || t < e || t > r) + throw Error(_i + t); +} +function Fs(t, e, r, n) { + var a, s, o, p; + for (s = t[0]; s >= 10; s /= 10) --e; + return --e < 0 ? (e += at, a = 0) : (a = Math.ceil((e + 1) / at), e %= at), s = gr(10, at - e), p = t[a] % s | 0, n == null ? e < 3 ? (e == 0 ? p = p / 100 | 0 : e == 1 && (p = p / 10 | 0), o = r < 4 && p == 99999 || r > 3 && p == 49999 || p == 5e4 || p == 0) : o = (r < 4 && p + 1 == s || r > 3 && p + 1 == s / 2) && (t[a + 1] / s / 100 | 0) == gr(10, e - 2) - 1 || (p == s / 2 || p == 0) && (t[a + 1] / s / 100 | 0) == 0 : e < 4 ? (e == 0 ? p = p / 1e3 | 0 : e == 1 ? p = p / 100 | 0 : e == 2 && (p = p / 10 | 0), o = (n || r < 4) && p == 9999 || !n && r > 3 && p == 4999) : o = ((n || r < 4) && p + 1 == s || !n && r > 3 && p + 1 == s / 2) && (t[a + 1] / s / 1e3 | 0) == gr(10, e - 3) - 1, o; +} +function Yo(t, e, r) { + for (var n, a = [0], s, o = 0, p = t.length; o < p; ) { + for (s = a.length; s--; ) a[s] *= e; + for (a[0] += Hm.indexOf(t.charAt(o++)), n = 0; n < a.length; n++) + a[n] > r - 1 && (a[n + 1] === void 0 && (a[n + 1] = 0), a[n + 1] += a[n] / r | 0, a[n] %= r); + } + return a.reverse(); +} +function AC(t, e) { + var r, n, a; + if (e.isZero()) return e; + n = e.d.length, n < 32 ? 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(o !== void 0 || f) && (n === 0 || n === (t.s < 0 ? 3 : 2)) : o > p || o === p && (n === 4 || f || n === 6 && c[r - 1] & 1 || n === (t.s < 0 ? 8 : 7)), c.length = r, f) + for (; ++c[--r] > a - 1; ) + c[r] = 0, r || (++s, c.unshift(1)); + for (u = c.length; !c[u - 1]; --u) ; + for (o = 0, l = ""; o < u; o++) l += Hm.charAt(c[o]); + if (g) { + if (u > 1) + if (e == 16 || e == 8) { + for (o = e == 16 ? 4 : 3, --u; u % o; u++) l += "0"; + for (c = Yo(l, a, e), u = c.length; !c[u - 1]; --u) ; + for (o = 1, l = "1."; o < u; o++) l += Hm.charAt(c[o]); + } else + l = l.charAt(0) + "." + l.slice(1); + l = l + (s < 0 ? "p" : "p+") + s; + } else if (s < 0) { + for (; ++s; ) l = "0" + l; + l = "0." + l; + } else if (++s > u) for (s -= u; s--; ) l += "0"; + else s < u && (l = l.slice(0, s) + "." + l.slice(s)); + } + l = (e == 16 ? "0x" : e == 2 ? "0b" : e == 8 ? "0o" : "") + l; + } + return t.s < 0 ? "-" + l : l; +} +function jg(t, e) { + if (t.length > e) + return t.length = e, !0; +} +function CC(t) { + return new this(t).abs(); +} +function TC(t) { + return new this(t).acos(); +} +function _C(t) { + return new this(t).acosh(); +} +function MC(t, e) { + return new this(t).plus(e); +} +function OC(t) { + return new this(t).asin(); +} +function FC(t) { + return new this(t).asinh(); +} +function qC(t) { + return new this(t).atan(); +} +function IC(t) { + return new this(t).atanh(); +} +function BC(t, e) { + t = new this(t), e = new this(e); + var r, n = this.precision, a = this.rounding, s = n + 4; + return !t.s || !e.s ? r = new this(NaN) : !t.d && !e.d ? (r = Ln(this, s, 1).times(e.s > 0 ? 0.25 : 0.75), r.s = t.s) : !e.d || t.isZero() ? (r = e.s < 0 ? Ln(this, n, a) : new this(0), r.s = t.s) : !t.d || e.isZero() ? (r = Ln(this, s, 1).times(0.5), r.s = t.s) : e.s < 0 ? (this.precision = s, this.rounding = 1, r = this.atan(Yt(t, e, s, 1)), e = Ln(this, s, 1), this.precision = n, this.rounding = a, r = t.s < 0 ? r.minus(e) : r.plus(e)) : r = this.atan(Yt(t, e, s, 1)), r; +} +function RC(t) { + return new this(t).cbrt(); +} +function LC(t) { + return et(t = new this(t), t.e + 1, 2); +} +function PC(t, e, r) { + return new this(t).clamp(e, r); +} +function kC(t) { + if (!t || typeof t != "object") throw Error(Mu + "Object expected"); + var e, r, n, a = t.defaults === !0, s = [ + "precision", + 1, + Bi, + "rounding", + 0, + 8, + "toExpNeg", + -Ma, + 0, + "toExpPos", + 0, + Ma, + "maxE", + 0, + Ma, + "minE", + -Ma, + 0, + "modulo", + 0, + 9 + ]; + for (e = 0; e < s.length; e += 3) + if (r = s[e], a && (this[r] = Qm[r]), (n = t[r]) !== void 0) + if (Wr(n) === n && n >= s[e + 1] && n <= s[e + 2]) this[r] = n; + else throw Error(_i + r + ": " + n); + if (r = "crypto", a && (this[r] = Qm[r]), (n = t[r]) !== void 0) + if (n === !0 || n === !1 || n === 0 || n === 1) + if (n) + if (typeof crypto < "u" && crypto && (crypto.getRandomValues || crypto.randomBytes)) + this[r] = !0; + else + throw Error(O2); + else + this[r] = !1; + else + throw Error(_i + r + ": " + n); + return this; +} +function $C(t) { + return new this(t).cos(); +} +function zC(t) { + return new this(t).cosh(); +} +function k2(t) { + var e, r, n; + function a(s) { + var o, p, u, f = this; + if (!(f instanceof a)) return new a(s); + if (f.constructor = a, Zg(s)) { + f.s = s.s, mt ? !s.d || s.e > a.maxE ? (f.e = NaN, f.d = null) : s.e < a.minE ? (f.e = 0, f.d = [0]) : (f.e = s.e, f.d = s.d.slice()) : (f.e = s.e, f.d = s.d ? s.d.slice() : s.d); + return; + } + if (u = typeof s, u === "number") { + if (s === 0) { + f.s = 1 / s < 0 ? -1 : 1, f.e = 0, f.d = [0]; + return; + } + if (s < 0 ? (s = -s, f.s = -1) : f.s = 1, s === ~~s && s < 1e7) { + for (o = 0, p = s; p >= 10; p /= 10) o++; + mt ? o > a.maxE ? (f.e = NaN, f.d = null) : o < a.minE ? (f.e = 0, f.d = [0]) : (f.e = o, f.d = [s]) : (f.e = o, f.d = [s]); + return; + } else if (s * 0 !== 0) { + s || (f.s = NaN), f.e = NaN, f.d = null; + return; + } + return jm(f, s.toString()); + } else if (u !== "string") + throw Error(_i + s); + return (p = s.charCodeAt(0)) === 45 ? (s = s.slice(1), f.s = -1) : (p === 43 && (s = s.slice(1)), f.s = 1), q2.test(s) ? jm(f, s) : EC(f, s); + } + if (a.prototype = ke, a.ROUND_UP = 0, a.ROUND_DOWN = 1, a.ROUND_CEIL = 2, a.ROUND_FLOOR = 3, a.ROUND_HALF_UP = 4, a.ROUND_HALF_DOWN = 5, a.ROUND_HALF_EVEN = 6, a.ROUND_HALF_CEIL = 7, a.ROUND_HALF_FLOOR = 8, a.EUCLID = 9, a.config = a.set = kC, a.clone = k2, a.isDecimal = Zg, a.abs = CC, a.acos = TC, a.acosh = _C, a.add = MC, a.asin = OC, a.asinh = FC, a.atan = qC, a.atanh = IC, a.atan2 = BC, a.cbrt = RC, a.ceil = LC, a.clamp = PC, a.cos = $C, a.cosh = zC, a.div = UC, a.exp = GC, a.floor = HC, a.hypot = QC, a.ln = VC, a.log = WC, a.log10 = ZC, a.log2 = jC, a.max = JC, a.min = YC, a.mod = XC, a.mul = KC, a.pow = eT, a.random = tT, a.round = rT, a.sign = nT, a.sin = iT, a.sinh = aT, a.sqrt = sT, a.sub = oT, a.sum = uT, a.tan = lT, a.tanh = cT, a.trunc = fT, t === void 0 && (t = {}), t && t.defaults !== !0) + for (n = ["precision", "rounding", "toExpNeg", "toExpPos", "maxE", "minE", "modulo", "crypto"], e = 0; e < n.length; ) t.hasOwnProperty(r = n[e++]) || (t[r] = this[r]); + return a.config(t), a; +} +function UC(t, e) { + return new this(t).div(e); +} +function GC(t) { + return new this(t).exp(); +} +function HC(t) { + return et(t = new this(t), t.e + 1, 3); +} +function QC() { + var t, e, r = new this(0); + for (mt = !1, t = 0; t < arguments.length; ) + if (e = new this(arguments[t++]), e.d) + r.d && (r = r.plus(e.times(e))); + else { + if (e.s) + return mt = !0, new this(1 / 0); + r = e; + } + return mt = !0, r.sqrt(); +} +function Zg(t) { + return t instanceof Mi || t && t.toStringTag === F2 || !1; +} +function VC(t) { + return new this(t).ln(); +} +function WC(t, e) { + return new this(t).log(e); +} +function jC(t) { + return new this(t).log(2); +} +function ZC(t) { + return new this(t).log(10); +} +function JC() { + return R2(this, arguments, "lt"); +} +function YC() { + return R2(this, arguments, "gt"); +} +function XC(t, e) { + return new this(t).mod(e); +} +function KC(t, e) { + return new this(t).mul(e); +} +function eT(t, e) { + return new this(t).pow(e); +} +function tT(t) { + var e, r, n, a, s = 0, o = new this(1), p = []; + if (t === void 0 ? t = this.precision : fn(t, 1, Bi), n = Math.ceil(t / at), this.crypto) + if (crypto.getRandomValues) + for (e = crypto.getRandomValues(new Uint32Array(n)); s < n; ) + a = e[s], a >= 429e7 ? e[s] = crypto.getRandomValues(new Uint32Array(1))[0] : p[s++] = a % 1e7; + else if (crypto.randomBytes) { + for (e = crypto.randomBytes(n *= 4); s < n; ) + a = e[s] + (e[s + 1] << 8) + (e[s + 2] << 16) + ((e[s + 3] & 127) << 24), a >= 214e7 ? crypto.randomBytes(4).copy(e, s) : (p.push(a % 1e7), s += 4); + s = n / 4; + } else + throw Error(O2); + else for (; s < n; ) p[s++] = Math.random() * 1e7 | 0; + for (n = p[--s], t %= at, n && t && (a = gr(10, at - t), p[s] = (n / a | 0) * a); p[s] === 0; s--) p.pop(); + if (s < 0) + r = 0, p = [0]; + else { + for (r = -1; p[0] === 0; r -= at) p.shift(); + for (n = 1, a = p[0]; a >= 10; a /= 10) n++; + n < at && (r -= at - n); + } + return o.e = r, o.d = p, o; +} +function rT(t) { + return et(t = new this(t), t.e + 1, this.rounding); +} +function nT(t) { + return t = new this(t), t.d ? t.d[0] ? t.s : 0 * t.s : t.s || NaN; +} +function iT(t) { + return new this(t).sin(); +} +function aT(t) { + return new this(t).sinh(); +} +function sT(t) { + return new this(t).sqrt(); +} +function oT(t, e) { + return new this(t).sub(e); +} +function uT() { + var t = 0, e = arguments, r = new this(e[t]); + for (mt = !1; r.s && ++t < e.length; ) r = r.plus(e[t]); + return mt = !0, et(r, this.precision, this.rounding); +} +function lT(t) { + return new this(t).tan(); +} +function cT(t) { + return new this(t).tanh(); +} +function fT(t) { + return et(t = new this(t), t.e + 1, 1); +} +ke[Symbol.for("nodejs.util.inspect.custom")] = ke.toString; +ke[Symbol.toStringTag] = "Decimal"; +var Mi = ke.constructor = k2(Qm); +Ko = new Mi(Ko); +eu = new Mi(eu); +var pT = "BigNumber", hT = ["?on", "config"], qu = /* @__PURE__ */ j(pT, hT, (t) => { + var { + on: e, + config: r + } = t, n = Mi.clone({ + precision: r.precision, + modulo: Mi.EUCLID + }); + return n.prototype = Object.create(n.prototype), n.prototype.type = "BigNumber", n.prototype.isBigNumber = !0, n.prototype.toJSON = function() { + return { + mathjs: "BigNumber", + value: this.toString() + }; + }, n.fromJSON = function(a) { + return new n(a.value); + }, e && e("config", function(a, s) { + a.precision !== s.precision && n.config({ + precision: a.precision + }); + }), n; +}, { + isClass: !0 +}), ua = typeof globalThis < "u" ? globalThis : typeof window < "u" ? window : typeof global < "u" ? global : typeof self < "u" ? self : {}; +function zs(t) { + return t && t.__esModule && Object.prototype.hasOwnProperty.call(t, "default") ? t.default : t; +} +function mT(t) { + if (t.__esModule) return t; + var e = t.default; + if (typeof e == "function") { + var r = function n() { + return this instanceof n ? Reflect.construct(e, arguments, this.constructor) : e.apply(this, arguments); + }; + r.prototype = e.prototype; + } else r = {}; + return Object.defineProperty(r, "__esModule", { value: !0 }), Object.keys(t).forEach(function(n) { + var a = Object.getOwnPropertyDescriptor(t, n); + Object.defineProperty(r, n, a.get ? a : { + enumerable: !0, + get: function() { + return t[n]; + } + }); + }), r; +} +var $2 = { exports: {} }; +/** + * @license Complex.js v2.1.1 12/05/2020 + * + * Copyright (c) 2020, Robert Eisele (robert@xarg.org) + * Dual licensed under the MIT or GPL Version 2 licenses. + **/ +(function(t, e) { + (function(r) { + var n = Math.cosh || function(c) { + return Math.abs(c) < 1e-9 ? 1 - c : (Math.exp(c) + Math.exp(-c)) * 0.5; + }, a = Math.sinh || function(c) { + return Math.abs(c) < 1e-9 ? c : (Math.exp(c) - Math.exp(-c)) * 0.5; + }, s = function(c) { + var h = Math.PI / 4; + if (-h > c || c > h) + return Math.cos(c) - 1; + var d = c * c; + return d * (d * (d * (d * (d * (d * (d * (d / 20922789888e3 - 1 / 87178291200) + 1 / 479001600) - 1 / 3628800) + 1 / 40320) - 1 / 720) + 1 / 24) - 1 / 2); + }, o = function(c, h) { + var d = Math.abs(c), g = Math.abs(h); + return d < 3e3 && g < 3e3 ? Math.sqrt(d * d + g * g) : (d < g ? (d = g, g = c / h) : g = h / c, d * Math.sqrt(1 + g * g)); + }, p = function() { + throw SyntaxError("Invalid Param"); + }; + function u(c, h) { + var d = Math.abs(c), g = Math.abs(h); + return c === 0 ? Math.log(g) : h === 0 ? Math.log(d) : d < 3e3 && g < 3e3 ? Math.log(c * c + h * h) * 0.5 : (c = c / 2, h = h / 2, 0.5 * Math.log(c * c + h * h) + Math.LN2); + } + var f = function(c, h) { + var d = { re: 0, im: 0 }; + if (c == null) + d.re = d.im = 0; + else if (h !== void 0) + d.re = c, d.im = h; + else + switch (typeof c) { + case "object": + if ("im" in c && "re" in c) + d.re = c.re, d.im = c.im; + else if ("abs" in c && "arg" in c) { + if (!Number.isFinite(c.abs) && Number.isFinite(c.arg)) + return l.INFINITY; + d.re = c.abs * Math.cos(c.arg), d.im = c.abs * Math.sin(c.arg); + } else if ("r" in c && "phi" in c) { + if (!Number.isFinite(c.r) && Number.isFinite(c.phi)) + return l.INFINITY; + d.re = c.r * Math.cos(c.phi), d.im = c.r * Math.sin(c.phi); + } else c.length === 2 ? (d.re = c[0], d.im = c[1]) : p(); + break; + case "string": + d.im = /* void */ + d.re = 0; + var g = c.match(/\d+\.?\d*e[+-]?\d+|\d+\.?\d*|\.\d+|./g), v = 1, N = 0; + g === null && p(); + for (var b = 0; b < g.length; b++) { + var C = g[b]; + C === " " || C === " " || C === ` +` || (C === "+" ? v++ : C === "-" ? N++ : C === "i" || C === "I" ? (v + N === 0 && p(), g[b + 1] !== " " && !isNaN(g[b + 1]) ? (d.im += parseFloat((N % 2 ? "-" : "") + g[b + 1]), b++) : d.im += parseFloat((N % 2 ? "-" : "") + "1"), v = N = 0) : ((v + N === 0 || isNaN(C)) && p(), g[b + 1] === "i" || g[b + 1] === "I" ? (d.im += parseFloat((N % 2 ? "-" : "") + C), b++) : d.re += parseFloat((N % 2 ? "-" : "") + C), v = N = 0)); + } + v + N > 0 && p(); + break; + case "number": + d.im = 0, d.re = c; + break; + default: + p(); + } + return isNaN(d.re) || isNaN(d.im), d; + }; + function l(c, h) { + if (!(this instanceof l)) + return new l(c, h); + var d = f(c, h); + this.re = d.re, this.im = d.im; + } + l.prototype = { + re: 0, + im: 0, + /** + * Calculates the sign of a complex number, which is a normalized complex + * + * @returns {Complex} + */ + sign: function() { + var c = this.abs(); + return new l( + this.re / c, + this.im / c + ); + }, + /** + * Adds two complex numbers + * + * @returns {Complex} + */ + add: function(c, h) { + var d = new l(c, h); + return this.isInfinite() && d.isInfinite() ? l.NAN : this.isInfinite() || d.isInfinite() ? l.INFINITY : new l( + this.re + d.re, + this.im + d.im + ); + }, + /** + * Subtracts two complex numbers + * + * @returns {Complex} + */ + sub: function(c, h) { + var d = new l(c, h); + return this.isInfinite() && d.isInfinite() ? l.NAN : this.isInfinite() || d.isInfinite() ? l.INFINITY : new l( + this.re - d.re, + this.im - d.im + ); + }, + /** + * Multiplies two complex numbers + * + * @returns {Complex} + */ + mul: function(c, h) { + var d = new l(c, h); + return this.isInfinite() && d.isZero() || this.isZero() && d.isInfinite() ? l.NAN : this.isInfinite() || d.isInfinite() ? l.INFINITY : d.im === 0 && this.im === 0 ? new l(this.re * d.re, 0) : new l( + this.re * d.re - this.im * d.im, + this.re * d.im + this.im * d.re + ); + }, + /** + * Divides two complex numbers + * + * @returns {Complex} + */ + div: function(c, h) { + var d = new l(c, h); + if (this.isZero() && d.isZero() || this.isInfinite() && d.isInfinite()) + return l.NAN; + if (this.isInfinite() || d.isZero()) + return l.INFINITY; + if (this.isZero() || d.isInfinite()) + return l.ZERO; + c = this.re, h = this.im; + var g = d.re, v = d.im, N, b; + return v === 0 ? new l(c / g, h / g) : Math.abs(g) < Math.abs(v) ? (b = g / v, N = g * b + v, new l( + (c * b + h) / N, + (h * b - c) / N + )) : (b = v / g, N = v * b + g, new l( + (c + h * b) / N, + (h - c * b) / N + )); + }, + /** + * Calculate the power of two complex numbers + * + * @returns {Complex} + */ + pow: function(c, h) { + var d = new l(c, h); + if (c = this.re, h = this.im, d.isZero()) + return l.ONE; + if (d.im === 0) { + if (h === 0 && c > 0) + return new l(Math.pow(c, d.re), 0); + if (c === 0) + switch ((d.re % 4 + 4) % 4) { + case 0: + return new l(Math.pow(h, d.re), 0); + case 1: + return new l(0, Math.pow(h, d.re)); + case 2: + return new l(-Math.pow(h, d.re), 0); + case 3: + return new l(0, -Math.pow(h, d.re)); + } + } + if (c === 0 && h === 0 && d.re > 0 && d.im >= 0) + return l.ZERO; + var g = Math.atan2(h, c), v = u(c, h); + return c = Math.exp(d.re * v - d.im * g), h = d.im * v + d.re * g, new l( + c * Math.cos(h), + c * Math.sin(h) + ); + }, + /** + * Calculate the complex square root + * + * @returns {Complex} + */ + sqrt: function() { + var c = this.re, h = this.im, d = this.abs(), g, v; + if (c >= 0) { + if (h === 0) + return new l(Math.sqrt(c), 0); + g = 0.5 * Math.sqrt(2 * (d + c)); + } else + g = Math.abs(h) / Math.sqrt(2 * (d - c)); + return c <= 0 ? v = 0.5 * Math.sqrt(2 * (d - c)) : v = Math.abs(h) / Math.sqrt(2 * (d + c)), new l(g, h < 0 ? -v : v); + }, + /** + * Calculate the complex exponent + * + * @returns {Complex} + */ + exp: function() { + var c = Math.exp(this.re); + return this.im, new l( + c * Math.cos(this.im), + c * Math.sin(this.im) + ); + }, + /** + * Calculate the complex exponent and subtracts one. + * + * This may be more accurate than `Complex(x).exp().sub(1)` if + * `x` is small. + * + * @returns {Complex} + */ + expm1: function() { + var c = this.re, h = this.im; + return new l( + Math.expm1(c) * Math.cos(h) + s(h), + Math.exp(c) * Math.sin(h) + ); + }, + /** + * Calculate the natural log + * + * @returns {Complex} + */ + log: function() { + var c = this.re, h = this.im; + return new l( + u(c, h), + Math.atan2(h, c) + ); + }, + /** + * Calculate the magnitude of the complex number + * + * @returns {number} + */ + abs: function() { + return o(this.re, this.im); + }, + /** + * Calculate the angle of the complex number + * + * @returns {number} + */ + arg: function() { + return Math.atan2(this.im, this.re); + }, + /** + * Calculate the sine of the complex number + * + * @returns {Complex} + */ + sin: function() { + var c = this.re, h = this.im; + return new l( + Math.sin(c) * n(h), + Math.cos(c) * a(h) + ); + }, + /** + * Calculate the cosine + * + * @returns {Complex} + */ + cos: function() { + var c = this.re, h = this.im; + return new l( + Math.cos(c) * n(h), + -Math.sin(c) * a(h) + ); + }, + /** + * Calculate the tangent + * + * @returns {Complex} + */ + tan: function() { + var c = 2 * this.re, h = 2 * this.im, d = Math.cos(c) + n(h); + return new l( + Math.sin(c) / d, + a(h) / d + ); + }, + /** + * Calculate the cotangent + * + * @returns {Complex} + */ + cot: function() { + var c = 2 * this.re, h = 2 * this.im, d = Math.cos(c) - n(h); + return new l( + -Math.sin(c) / d, + a(h) / d + ); + }, + /** + * Calculate the secant + * + * @returns {Complex} + */ + sec: function() { + var c = this.re, h = this.im, d = 0.5 * n(2 * h) + 0.5 * Math.cos(2 * c); + return new l( + Math.cos(c) * n(h) / d, + Math.sin(c) * a(h) / d + ); + }, + /** + * Calculate the cosecans + * + * @returns {Complex} + */ + csc: function() { + var c = this.re, h = this.im, d = 0.5 * n(2 * h) - 0.5 * Math.cos(2 * c); + return new l( + Math.sin(c) * n(h) / d, + -Math.cos(c) * a(h) / d + ); + }, + /** + * Calculate the complex arcus sinus + * + * @returns {Complex} + */ + asin: function() { + var c = this.re, h = this.im, d = new l( + h * h - c * c + 1, + -2 * c * h + ).sqrt(), g = new l( + d.re - h, + d.im + c + ).log(); + return new l(g.im, -g.re); + }, + /** + * Calculate the complex arcus cosinus + * + * @returns {Complex} + */ + acos: function() { + var c = this.re, h = this.im, d = new l( + h * h - c * c + 1, + -2 * c * h + ).sqrt(), g = new l( + d.re - h, + d.im + c + ).log(); + return new l(Math.PI / 2 - g.im, g.re); + }, + /** + * Calculate the complex arcus tangent + * + * @returns {Complex} + */ + atan: function() { + var c = this.re, h = this.im; + if (c === 0) { + if (h === 1) + return new l(0, 1 / 0); + if (h === -1) + return new l(0, -1 / 0); + } + var d = c * c + (1 - h) * (1 - h), g = new l( + (1 - h * h - c * c) / d, + -2 * c / d + ).log(); + return new l(-0.5 * g.im, 0.5 * g.re); + }, + /** + * Calculate the complex arcus cotangent + * + * @returns {Complex} + */ + acot: function() { + var c = this.re, h = this.im; + if (h === 0) + return new l(Math.atan2(1, c), 0); + var d = c * c + h * h; + return d !== 0 ? new l( + c / d, + -h / d + ).atan() : new l( + c !== 0 ? c / 0 : 0, + h !== 0 ? -h / 0 : 0 + ).atan(); + }, + /** + * Calculate the complex arcus secant + * + * @returns {Complex} + */ + asec: function() { + var c = this.re, h = this.im; + if (c === 0 && h === 0) + return new l(0, 1 / 0); + var d = c * c + h * h; + return d !== 0 ? new l( + c / d, + -h / d + ).acos() : new l( + c !== 0 ? c / 0 : 0, + h !== 0 ? -h / 0 : 0 + ).acos(); + }, + /** + * Calculate the complex arcus cosecans + * + * @returns {Complex} + */ + acsc: function() { + var c = this.re, h = this.im; + if (c === 0 && h === 0) + return new l(Math.PI / 2, 1 / 0); + var d = c * c + h * h; + return d !== 0 ? new l( + c / d, + -h / d + ).asin() : new l( + c !== 0 ? c / 0 : 0, + h !== 0 ? -h / 0 : 0 + ).asin(); + }, + /** + * Calculate the complex sinh + * + * @returns {Complex} + */ + sinh: function() { + var c = this.re, h = this.im; + return new l( + a(c) * Math.cos(h), + n(c) * Math.sin(h) + ); + }, + /** + * Calculate the complex cosh + * + * @returns {Complex} + */ + cosh: function() { + var c = this.re, h = this.im; + return new l( + n(c) * Math.cos(h), + a(c) * Math.sin(h) + ); + }, + /** + * Calculate the complex tanh + * + * @returns {Complex} + */ + tanh: function() { + var c = 2 * this.re, h = 2 * this.im, d = n(c) + Math.cos(h); + return new l( + a(c) / d, + Math.sin(h) / d + ); + }, + /** + * Calculate the complex coth + * + * @returns {Complex} + */ + coth: function() { + var c = 2 * this.re, h = 2 * this.im, d = n(c) - Math.cos(h); + return new l( + a(c) / d, + -Math.sin(h) / d + ); + }, + /** + * Calculate the complex coth + * + * @returns {Complex} + */ + csch: function() { + var c = this.re, h = this.im, d = Math.cos(2 * h) - n(2 * c); + return new l( + -2 * a(c) * Math.cos(h) / d, + 2 * n(c) * Math.sin(h) / d + ); + }, + /** + * Calculate the complex sech + * + * @returns {Complex} + */ + sech: function() { + var c = this.re, h = this.im, d = Math.cos(2 * h) + n(2 * c); + return new l( + 2 * n(c) * Math.cos(h) / d, + -2 * a(c) * Math.sin(h) / d + ); + }, + /** + * Calculate the complex asinh + * + * @returns {Complex} + */ + asinh: function() { + var c = this.im; + this.im = -this.re, this.re = c; + var h = this.asin(); + return this.re = -this.im, this.im = c, c = h.re, h.re = -h.im, h.im = c, h; + }, + /** + * Calculate the complex acosh + * + * @returns {Complex} + */ + acosh: function() { + var c = this.acos(); + if (c.im <= 0) { + var h = c.re; + c.re = -c.im, c.im = h; + } else { + var h = c.im; + c.im = -c.re, c.re = h; + } + return c; + }, + /** + * Calculate the complex atanh + * + * @returns {Complex} + */ + atanh: function() { + var c = this.re, h = this.im, d = c > 1 && h === 0, g = 1 - c, v = 1 + c, N = g * g + h * h, b = N !== 0 ? new l( + (v * g - h * h) / N, + (h * g + v * h) / N + ) : new l( + c !== -1 ? c / 0 : 0, + h !== 0 ? h / 0 : 0 + ), C = b.re; + return b.re = u(b.re, b.im) / 2, b.im = Math.atan2(b.im, C) / 2, d && (b.im = -b.im), b; + }, + /** + * Calculate the complex acoth + * + * @returns {Complex} + */ + acoth: function() { + var c = this.re, h = this.im; + if (c === 0 && h === 0) + return new l(0, Math.PI / 2); + var d = c * c + h * h; + return d !== 0 ? new l( + c / d, + -h / d + ).atanh() : new l( + c !== 0 ? c / 0 : 0, + h !== 0 ? -h / 0 : 0 + ).atanh(); + }, + /** + * Calculate the complex acsch + * + * @returns {Complex} + */ + acsch: function() { + var c = this.re, h = this.im; + if (h === 0) + return new l( + c !== 0 ? Math.log(c + Math.sqrt(c * c + 1)) : 1 / 0, + 0 + ); + var d = c * c + h * h; + return d !== 0 ? new l( + c / d, + -h / d + ).asinh() : new l( + c !== 0 ? c / 0 : 0, + h !== 0 ? -h / 0 : 0 + ).asinh(); + }, + /** + * Calculate the complex asech + * + * @returns {Complex} + */ + asech: function() { + var c = this.re, h = this.im; + if (this.isZero()) + return l.INFINITY; + var d = c * c + h * h; + return d !== 0 ? new l( + c / d, + -h / d + ).acosh() : new l( + c !== 0 ? c / 0 : 0, + h !== 0 ? -h / 0 : 0 + ).acosh(); + }, + /** + * Calculate the complex inverse 1/z + * + * @returns {Complex} + */ + inverse: function() { + if (this.isZero()) + return l.INFINITY; + if (this.isInfinite()) + return l.ZERO; + var c = this.re, h = this.im, d = c * c + h * h; + return new l(c / d, -h / d); + }, + /** + * Returns the complex conjugate + * + * @returns {Complex} + */ + conjugate: function() { + return new l(this.re, -this.im); + }, + /** + * Gets the negated complex number + * + * @returns {Complex} + */ + neg: function() { + return new l(-this.re, -this.im); + }, + /** + * Ceils the actual complex number + * + * @returns {Complex} + */ + ceil: function(c) { + return c = Math.pow(10, c || 0), new l( + Math.ceil(this.re * c) / c, + Math.ceil(this.im * c) / c + ); + }, + /** + * Floors the actual complex number + * + * @returns {Complex} + */ + floor: function(c) { + return c = Math.pow(10, c || 0), new l( + Math.floor(this.re * c) / c, + Math.floor(this.im * c) / c + ); + }, + /** + * Ceils the actual complex number + * + * @returns {Complex} + */ + round: function(c) { + return c = Math.pow(10, c || 0), new l( + Math.round(this.re * c) / c, + Math.round(this.im * c) / c + ); + }, + /** + * Compares two complex numbers + * + * **Note:** new Complex(Infinity).equals(Infinity) === false + * + * @returns {boolean} + */ + equals: function(c, h) { + var d = new l(c, h); + return Math.abs(d.re - this.re) <= l.EPSILON && Math.abs(d.im - this.im) <= l.EPSILON; + }, + /** + * Clones the actual object + * + * @returns {Complex} + */ + clone: function() { + return new l(this.re, this.im); + }, + /** + * Gets a string of the actual complex number + * + * @returns {string} + */ + toString: function() { + var c = this.re, h = this.im, d = ""; + return this.isNaN() ? "NaN" : this.isInfinite() ? "Infinity" : (Math.abs(c) < l.EPSILON && (c = 0), Math.abs(h) < l.EPSILON && (h = 0), h === 0 ? d + c : (c !== 0 ? (d += c, d += " ", h < 0 ? (h = -h, d += "-") : d += "+", d += " ") : h < 0 && (h = -h, d += "-"), h !== 1 && (d += h), d + "i")); + }, + /** + * Returns the actual number as a vector + * + * @returns {Array} + */ + toVector: function() { + return [this.re, this.im]; + }, + /** + * Returns the actual real value of the current object + * + * @returns {number|null} + */ + valueOf: function() { + return this.im === 0 ? this.re : null; + }, + /** + * Determines whether a complex number is not on the Riemann sphere. + * + * @returns {boolean} + */ + isNaN: function() { + return isNaN(this.re) || isNaN(this.im); + }, + /** + * Determines whether or not a complex number is at the zero pole of the + * Riemann sphere. + * + * @returns {boolean} + */ + isZero: function() { + return this.im === 0 && this.re === 0; + }, + /** + * Determines whether a complex number is not at the infinity pole of the + * Riemann sphere. + * + * @returns {boolean} + */ + isFinite: function() { + return isFinite(this.re) && isFinite(this.im); + }, + /** + * Determines whether or not a complex number is at the infinity pole of the + * Riemann sphere. + * + * @returns {boolean} + */ + isInfinite: function() { + return !(this.isNaN() || this.isFinite()); + } + }, l.ZERO = new l(0, 0), l.ONE = new l(1, 0), l.I = new l(0, 1), l.PI = new l(Math.PI, 0), l.E = new l(Math.E, 0), l.INFINITY = new l(1 / 0, 1 / 0), l.NAN = new l(NaN, NaN), l.EPSILON = 1e-15, Object.defineProperty(l, "__esModule", { value: !0 }), l.default = l, l.Complex = l, t.exports = l; + })(); +})($2); +var dT = $2.exports; +const qr = /* @__PURE__ */ zs(dT); +var vT = "Complex", gT = [], Iu = /* @__PURE__ */ j(vT, gT, () => (Object.defineProperty(qr, "name", { + value: "Complex" +}), qr.prototype.constructor = qr, qr.prototype.type = "Complex", qr.prototype.isComplex = !0, qr.prototype.toJSON = function() { + return { + mathjs: "Complex", + re: this.re, + im: this.im + }; +}, qr.prototype.toPolar = function() { + return { + r: this.abs(), + phi: this.arg() + }; +}, qr.prototype.format = function(t) { + var e = "", r = this.im, n = this.re, a = na(this.re, t), s = na(this.im, t), o = ht(t) ? t : t ? t.precision : null; + if (o !== null) { + var p = Math.pow(10, -o); + Math.abs(n / r) < p && (n = 0), Math.abs(r / n) < p && (r = 0); + } + return r === 0 ? e = a : n === 0 ? r === 1 ? e = "i" : r === -1 ? e = "-i" : e = s + "i" : r < 0 ? r === -1 ? e = a + " - i" : e = a + " - " + s.substring(1) + "i" : r === 1 ? e = a + " + i" : e = a + " + " + s + "i", e; +}, qr.fromPolar = function(t) { + switch (arguments.length) { + case 1: { + var e = arguments[0]; + if (typeof e == "object") + return qr(e); + throw new TypeError("Input has to be an object with r and phi keys."); + } + case 2: { + var r = arguments[0], n = arguments[1]; + if (ht(r)) { + if (Xr(n) && n.hasBase("ANGLE") && (n = n.toNumber("rad")), ht(n)) + return new qr({ + r, + phi: n + }); + throw new TypeError("Phi is not a number nor an angle unit."); + } else + throw new TypeError("Radius r is not a number."); + } + default: + throw new SyntaxError("Wrong number of arguments in function fromPolar"); + } +}, qr.prototype.valueOf = qr.prototype.toString, qr.fromJSON = function(t) { + return new qr(t); +}, qr.compare = function(t, e) { + return t.re > e.re ? 1 : t.re < e.re ? -1 : t.im > e.im ? 1 : t.im < e.im ? -1 : 0; +}, qr), { + isClass: !0 +}); +/** + * @license Fraction.js v4.3.7 31/08/2023 + * https://www.xarg.org/2014/03/rational-numbers-in-javascript/ + * + * Copyright (c) 2023, Robert Eisele (robert@raw.org) + * Dual licensed under the MIT or GPL Version 2 licenses. + **/ +var yT = 2e3, Ye = { + s: 1, + n: 0, + d: 1 +}; +function ai(t, e) { + if (isNaN(t = parseInt(t, 10))) + throw Xo(); + return t * e; +} +function ir(t, e) { + if (e === 0) + throw Ad(); + var r = Object.create(Hr.prototype); + r.s = t < 0 ? -1 : 1, t = t < 0 ? -t : t; + var n = Oa(t, e); + return r.n = t / n, r.d = e / n, r; +} +function Jg(t) { + for (var e = {}, r = t, n = 2, a = 4; a <= r; ) { + for (; r % n === 0; ) + r /= n, e[n] = (e[n] || 0) + 1; + a += 1 + 2 * n++; + } + return r !== t ? r > 1 && (e[r] = (e[r] || 0) + 1) : e[t] = (e[t] || 0) + 1, e; +} +var vn = function(t, e) { + var r = 0, n = 1, a = 1, s = 0, o = 0, p = 0, u = 1, f = 1, l = 0, c = 1, h = 1, d = 1, g = 1e7, v; + if (t != null) if (e !== void 0) { + if (r = t, n = e, a = r * n, r % 1 !== 0 || n % 1 !== 0) + throw NT(); + } else + switch (typeof t) { + case "object": { + if ("d" in t && "n" in t) + r = t.n, n = t.d, "s" in t && (r *= t.s); + else if (0 in t) + r = t[0], 1 in t && (n = t[1]); + else + throw Xo(); + a = r * n; + break; + } + case "number": { + if (t < 0 && (a = t, t = -t), t % 1 === 0) + r = t; + else if (t > 0) { + for (t >= 1 && (f = Math.pow(10, Math.floor(1 + Math.log(t) / Math.LN10)), t /= f); c <= g && d <= g; ) + if (v = (l + h) / (c + d), t === v) { + c + d <= g ? (r = l + h, n = c + d) : d > c ? (r = h, n = d) : (r = l, n = c); + break; + } else + t > v ? (l += h, c += d) : (h += l, d += c), c > g ? (r = h, n = d) : (r = l, n = c); + r *= f; + } else (isNaN(t) || isNaN(e)) && (n = r = NaN); + break; + } + case "string": { + if (c = t.match(/\d+|./g), c === null) + throw Xo(); + if (c[l] === "-" ? (a = -1, l++) : c[l] === "+" && l++, c.length === l + 1 ? o = ai(c[l++], a) : c[l + 1] === "." || c[l] === "." ? (c[l] !== "." && (s = ai(c[l++], a)), l++, (l + 1 === c.length || c[l + 1] === "(" && c[l + 3] === ")" || c[l + 1] === "'" && c[l + 3] === "'") && (o = ai(c[l], a), u = Math.pow(10, c[l].length), l++), (c[l] === "(" && c[l + 2] === ")" || c[l] === "'" && c[l + 2] === "'") && (p = ai(c[l + 1], a), f = Math.pow(10, c[l + 1].length) - 1, l += 3)) : c[l + 1] === "/" || c[l + 1] === ":" ? (o = ai(c[l], a), u = ai(c[l + 2], 1), l += 3) : c[l + 3] === "/" && c[l + 1] === " " && (s = ai(c[l], a), o = ai(c[l + 2], a), u = ai(c[l + 4], 1), l += 5), c.length <= l) { + n = u * f, a = /* void */ + r = p + n * s + f * o; + break; + } + } + default: + throw Xo(); + } + if (n === 0) + throw Ad(); + Ye.s = a < 0 ? -1 : 1, Ye.n = Math.abs(r), Ye.d = Math.abs(n); +}; +function xT(t, e, r) { + for (var n = 1; e > 0; t = t * t % r, e >>= 1) + e & 1 && (n = n * t % r); + return n; +} +function bT(t, e) { + for (; e % 2 === 0; e /= 2) + ; + for (; e % 5 === 0; e /= 5) + ; + if (e === 1) + return 0; + for (var r = 10 % e, n = 1; r !== 1; n++) + if (r = r * 10 % e, n > yT) + return 0; + return n; +} +function wT(t, e, r) { + for (var n = 1, a = xT(10, r, e), s = 0; s < 300; s++) { + if (n === a) + return s; + n = n * 10 % e, a = a * 10 % e; + } + return 0; +} +function Oa(t, e) { + if (!t) + return e; + if (!e) + return t; + for (; ; ) { + if (t %= e, !t) + return e; + if (e %= t, !e) + return t; + } +} +function Hr(t, e) { + if (vn(t, e), this instanceof Hr) + t = Oa(Ye.d, Ye.n), this.s = Ye.s, this.n = Ye.n / t, this.d = Ye.d / t; + else + return ir(Ye.s * Ye.n, Ye.d); +} +var Ad = function() { + return new Error("Division by Zero"); +}, Xo = function() { + return new Error("Invalid argument"); +}, NT = function() { + return new Error("Parameters must be integer"); +}; +Hr.prototype = { + s: 1, + n: 0, + d: 1, + /** + * Calculates the absolute value + * + * Ex: new Fraction(-4).abs() => 4 + **/ + abs: function() { + return ir(this.n, this.d); + }, + /** + * Inverts the sign of the current fraction + * + * Ex: new Fraction(-4).neg() => 4 + **/ + neg: function() { + return ir(-this.s * this.n, this.d); + }, + /** + * Adds two rational numbers + * + * Ex: new Fraction({n: 2, d: 3}).add("14.9") => 467 / 30 + **/ + add: function(t, e) { + return vn(t, e), ir( + this.s * this.n * Ye.d + Ye.s * this.d * Ye.n, + this.d * Ye.d + ); + }, + /** + * Subtracts two rational numbers + * + * Ex: new Fraction({n: 2, d: 3}).add("14.9") => -427 / 30 + **/ + sub: function(t, e) { + return vn(t, e), ir( + this.s * this.n * Ye.d - Ye.s * this.d * Ye.n, + this.d * Ye.d + ); + }, + /** + * Multiplies two rational numbers + * + * Ex: new Fraction("-17.(345)").mul(3) => 5776 / 111 + **/ + mul: function(t, e) { + return vn(t, e), ir( + this.s * Ye.s * this.n * Ye.n, + this.d * Ye.d + ); + }, + /** + * Divides two rational numbers + * + * Ex: new Fraction("-17.(345)").inverse().div(3) + **/ + div: function(t, e) { + return vn(t, e), ir( + this.s * Ye.s * this.n * Ye.d, + this.d * Ye.n + ); + }, + /** + * Clones the actual object + * + * Ex: new Fraction("-17.(345)").clone() + **/ + clone: function() { + return ir(this.s * this.n, this.d); + }, + /** + * Calculates the modulo of two rational numbers - a more precise fmod + * + * Ex: new Fraction('4.(3)').mod([7, 8]) => (13/3) % (7/8) = (5/6) + **/ + mod: function(t, e) { + if (isNaN(this.n) || isNaN(this.d)) + return new Hr(NaN); + if (t === void 0) + return ir(this.s * this.n % this.d, 1); + if (vn(t, e), Ye.n === 0 && this.d === 0) + throw Ad(); + return ir( + this.s * (Ye.d * this.n) % (Ye.n * this.d), + Ye.d * this.d + ); + }, + /** + * Calculates the fractional gcd of two rational numbers + * + * Ex: new Fraction(5,8).gcd(3,7) => 1/56 + */ + gcd: function(t, e) { + return vn(t, e), ir(Oa(Ye.n, this.n) * Oa(Ye.d, this.d), Ye.d * this.d); + }, + /** + * Calculates the fractional lcm of two rational numbers + * + * Ex: new Fraction(5,8).lcm(3,7) => 15 + */ + lcm: function(t, e) { + return vn(t, e), Ye.n === 0 && this.n === 0 ? ir(0, 1) : ir(Ye.n * this.n, Oa(Ye.n, this.n) * Oa(Ye.d, this.d)); + }, + /** + * Calculates the ceil of a rational number + * + * Ex: new Fraction('4.(3)').ceil() => (5 / 1) + **/ + ceil: function(t) { + return t = Math.pow(10, t || 0), isNaN(this.n) || isNaN(this.d) ? new Hr(NaN) : ir(Math.ceil(t * this.s * this.n / this.d), t); + }, + /** + * Calculates the floor of a rational number + * + * Ex: new Fraction('4.(3)').floor() => (4 / 1) + **/ + floor: function(t) { + return t = Math.pow(10, t || 0), isNaN(this.n) || isNaN(this.d) ? new Hr(NaN) : ir(Math.floor(t * this.s * this.n / this.d), t); + }, + /** + * Rounds a rational number + * + * Ex: new Fraction('4.(3)').round() => (4 / 1) + **/ + round: function(t) { + return t = Math.pow(10, t || 0), isNaN(this.n) || isNaN(this.d) ? new Hr(NaN) : ir(Math.round(t * this.s * this.n / this.d), t); + }, + /** + * Rounds a rational number to a multiple of another rational number + * + * Ex: new Fraction('0.9').roundTo("1/8") => 7 / 8 + **/ + roundTo: function(t, e) { + return vn(t, e), ir(this.s * Math.round(this.n * Ye.d / (this.d * Ye.n)) * Ye.n, Ye.d); + }, + /** + * Gets the inverse of the fraction, means numerator and denominator are exchanged + * + * Ex: new Fraction([-3, 4]).inverse() => -4 / 3 + **/ + inverse: function() { + return ir(this.s * this.d, this.n); + }, /** - * @license + * Calculates the fraction to some rational exponent, if possible * - * Copyright (c) 2016, Petar Korponaić + * Ex: new Fraction(-1,2).pow(-3) => -8 + */ + pow: function(t, e) { + if (vn(t, e), Ye.d === 1) + return Ye.s < 0 ? ir(Math.pow(this.s * this.d, Ye.n), Math.pow(this.n, Ye.n)) : ir(Math.pow(this.s * this.n, Ye.n), Math.pow(this.d, Ye.n)); + if (this.s < 0) return null; + var r = Jg(this.n), n = Jg(this.d), a = 1, s = 1; + for (var o in r) + if (o !== "1") { + if (o === "0") { + a = 0; + break; + } + if (r[o] *= Ye.n, r[o] % Ye.d === 0) + r[o] /= Ye.d; + else return null; + a *= Math.pow(o, r[o]); + } + for (var o in n) + if (o !== "1") { + if (n[o] *= Ye.n, n[o] % Ye.d === 0) + n[o] /= Ye.d; + else return null; + s *= Math.pow(o, n[o]); + } + return Ye.s < 0 ? ir(s, a) : ir(a, s); + }, + /** + * Check if two rational numbers are the same + * + * Ex: new Fraction(19.6).equals([98, 5]); + **/ + equals: function(t, e) { + return vn(t, e), this.s * this.n * Ye.d === Ye.s * Ye.n * this.d; + }, + /** + * Check if two rational numbers are the same + * + * Ex: new Fraction(19.6).equals([98, 5]); + **/ + compare: function(t, e) { + vn(t, e); + var r = this.s * this.n * Ye.d - Ye.s * Ye.n * this.d; + return (0 < r) - (r < 0); + }, + simplify: function(t) { + if (isNaN(this.n) || isNaN(this.d)) + return this; + t = t || 1e-3; + for (var e = this.abs(), r = e.toContinued(), n = 1; n < r.length; n++) { + for (var a = ir(r[n - 1], 1), s = n - 2; s >= 0; s--) + a = a.inverse().add(r[s]); + if (Math.abs(a.sub(e).valueOf()) < t) + return a.mul(this.s); + } + return this; + }, + /** + * Check if two rational numbers are divisible + * + * Ex: new Fraction(19.6).divisible(1.5); + */ + divisible: function(t, e) { + return vn(t, e), !(!(Ye.n * this.d) || this.n * Ye.d % (Ye.n * this.d)); + }, + /** + * Returns a decimal representation of the fraction + * + * Ex: new Fraction("100.'91823'").valueOf() => 100.91823918239183 + **/ + valueOf: function() { + return this.s * this.n / this.d; + }, + /** + * Returns a string-fraction representation of a Fraction object * - * This source code is licensed under the MIT License, found in - * the LICENSE.txt file in the root directory of this source tree. + * Ex: new Fraction("1.'3'").toFraction(true) => "4 1/3" + **/ + toFraction: function(t) { + var e, r = "", n = this.n, a = this.d; + return this.s < 0 && (r += "-"), a === 1 ? r += n : (t && (e = Math.floor(n / a)) > 0 && (r += e, r += " ", n %= a), r += n, r += "/", r += a), r; + }, + /** + * Returns a latex representation of a Fraction object + * + * Ex: new Fraction("1.'3'").toLatex() => "\frac{4}{3}" + **/ + toLatex: function(t) { + var e, r = "", n = this.n, a = this.d; + return this.s < 0 && (r += "-"), a === 1 ? r += n : (t && (e = Math.floor(n / a)) > 0 && (r += e, n %= a), r += "\\frac{", r += n, r += "}{", r += a, r += "}"), r; + }, + /** + * Returns an array of continued fraction elements + * + * Ex: new Fraction("7/8").toContinued() => [0,1,7] */ - var x = require("mathjs"), st = require("./qasm_import/QASMImport.js"), Yr = function(a, t, r) { - r = r || {}; - var n = Vr(a, r), s = JSON.parse(JSON.stringify(r)); - s.plusChar = "+"; - var e = Vr(t, s); - return n + e + (r.iotaChar ? r.iotaChar : "i"); - }, Vr = function(a, t) { - t = t || {}, t.decimalPlaces && (a = x.round(a, t.decimalPlaces)); - var r = a + ""; - t.fixedWidth && (r = a.toFixed(t.decimalPlaces || 14)); - var n = t.plusChar; - return t.fixedWidth && !n && (n = " "), n && a >= 0 && (r = n + r), r; - }, Cr = function(a, t) { - maxN = t || a + 1, maxN > 0 && (maxN = maxN - 1), maxLen = maxN.toString(26).length; - for (var r = a.toString(26); r.length < maxLen; ) - r = "0" + r; - for (var n = "", s = 0; s < r.length; s++) { - var e = r.charCodeAt(s); - n += String.fromCharCode(e < 97 ? e + 49 : e + 10); + toContinued: function() { + var t, e = this.n, r = this.d, n = []; + if (isNaN(e) || isNaN(r)) + return n; + do + n.push(Math.floor(e / r)), t = e % r, e = r, r = t; + while (e !== 1); + return n; + }, + /** + * Creates a string representation of a fraction with all digits + * + * Ex: new Fraction("100.'91823'").toString() => "100.(91823)" + **/ + toString: function(t) { + var e = this.n, r = this.d; + if (isNaN(e) || isNaN(r)) + return "NaN"; + t = t || 15; + var n = bT(e, r), a = wT(e, r, n), s = this.s < 0 ? "-" : ""; + if (s += e / r | 0, e %= r, e *= 10, e && (s += "."), n) { + for (var o = a; o--; ) + s += e / r | 0, e %= r, e *= 10; + s += "("; + for (var o = n; o--; ) + s += e / r | 0, e %= r, e *= 10; + s += ")"; + } else + for (var o = t; e && o--; ) + s += e / r | 0, e %= r, e *= 10; + return s; + } +}; +var DT = "Fraction", AT = [], Bu = /* @__PURE__ */ j(DT, AT, () => (Object.defineProperty(Hr, "name", { + value: "Fraction" +}), Hr.prototype.constructor = Hr, Hr.prototype.type = "Fraction", Hr.prototype.isFraction = !0, Hr.prototype.toJSON = function() { + return { + mathjs: "Fraction", + n: this.s * this.n, + d: this.d + }; +}, Hr.fromJSON = function(t) { + return new Hr(t); +}, Hr), { + isClass: !0 +}), ET = "Range", ST = [], Ru = /* @__PURE__ */ j(ET, ST, () => { + function t(e, r, n) { + if (!(this instanceof t)) + throw new SyntaxError("Constructor must be called with the new operator"); + var a = e != null, s = r != null, o = n != null; + if (a) { + if (ct(e)) + e = e.toNumber(); + else if (typeof e != "number") + throw new TypeError("Parameter start must be a number"); + } + if (s) { + if (ct(r)) + r = r.toNumber(); + else if (typeof r != "number") + throw new TypeError("Parameter end must be a number"); + } + if (o) { + if (ct(n)) + n = n.toNumber(); + else if (typeof n != "number") + throw new TypeError("Parameter step must be a number"); + } + this.start = a ? parseFloat(e) : 0, this.end = s ? parseFloat(r) : 0, this.step = o ? parseFloat(n) : 1; + } + return t.prototype.type = "Range", t.prototype.isRange = !0, t.parse = function(e) { + if (typeof e != "string") + return null; + var r = e.split(":"), n = r.map(function(s) { + return parseFloat(s); + }), a = n.some(function(s) { + return isNaN(s); + }); + if (a) + return null; + switch (n.length) { + case 2: + return new t(n[0], n[1]); + case 3: + return new t(n[0], n[2], n[1]); + default: + return null; + } + }, t.prototype.clone = function() { + return new t(this.start, this.end, this.step); + }, t.prototype.size = function() { + var e = 0, r = this.start, n = this.step, a = this.end, s = a - r; + return Ci(n) === Ci(s) ? e = Math.ceil(s / n) : s === 0 && (e = 0), isNaN(e) && (e = 0), [e]; + }, t.prototype.min = function() { + var e = this.size()[0]; + if (e > 0) + return this.step > 0 ? this.start : this.start + (e - 1) * this.step; + }, t.prototype.max = function() { + var e = this.size()[0]; + if (e > 0) + return this.step > 0 ? this.start + (e - 1) * this.step : this.start; + }, t.prototype.forEach = function(e) { + var r = this.start, n = this.step, a = this.end, s = 0; + if (n > 0) + for (; r < a; ) + e(r, [s], this), r += n, s++; + else if (n < 0) + for (; r > a; ) + e(r, [s], this), r += n, s++; + }, t.prototype.map = function(e) { + var r = []; + return this.forEach(function(n, a, s) { + r[a[0]] = e(n, a, s); + }), r; + }, t.prototype.toArray = function() { + var e = []; + return this.forEach(function(r, n) { + e[n[0]] = r; + }), e; + }, t.prototype.valueOf = function() { + return this.toArray(); + }, t.prototype.format = function(e) { + var r = na(this.start, e); + return this.step !== 1 && (r += ":" + na(this.step, e)), r += ":" + na(this.end, e), r; + }, t.prototype.toString = function() { + return this.format(); + }, t.prototype.toJSON = function() { + return { + mathjs: "Range", + start: this.start, + end: this.end, + step: this.step + }; + }, t.fromJSON = function(e) { + return new t(e.start, e.end, e.step); + }, t; +}, { + isClass: !0 +}), CT = "Matrix", TT = [], Lu = /* @__PURE__ */ j(CT, TT, () => { + function t() { + if (!(this instanceof t)) + throw new SyntaxError("Constructor must be called with the new operator"); + } + return t.prototype.type = "Matrix", t.prototype.isMatrix = !0, t.prototype.storage = function() { + throw new Error("Cannot invoke storage on a Matrix interface"); + }, t.prototype.datatype = function() { + throw new Error("Cannot invoke datatype on a Matrix interface"); + }, t.prototype.create = function(e, r) { + throw new Error("Cannot invoke create on a Matrix interface"); + }, t.prototype.subset = function(e, r, n) { + throw new Error("Cannot invoke subset on a Matrix interface"); + }, t.prototype.get = function(e) { + throw new Error("Cannot invoke get on a Matrix interface"); + }, t.prototype.set = function(e, r, n) { + throw new Error("Cannot invoke set on a Matrix interface"); + }, t.prototype.resize = function(e, r) { + throw new Error("Cannot invoke resize on a Matrix interface"); + }, t.prototype.reshape = function(e, r) { + throw new Error("Cannot invoke reshape on a Matrix interface"); + }, t.prototype.clone = function() { + throw new Error("Cannot invoke clone on a Matrix interface"); + }, t.prototype.size = function() { + throw new Error("Cannot invoke size on a Matrix interface"); + }, t.prototype.map = function(e, r) { + throw new Error("Cannot invoke map on a Matrix interface"); + }, t.prototype.forEach = function(e) { + throw new Error("Cannot invoke forEach on a Matrix interface"); + }, t.prototype[Symbol.iterator] = function() { + throw new Error("Cannot iterate a Matrix interface"); + }, t.prototype.toArray = function() { + throw new Error("Cannot invoke toArray on a Matrix interface"); + }, t.prototype.valueOf = function() { + throw new Error("Cannot invoke valueOf on a Matrix interface"); + }, t.prototype.format = function(e) { + throw new Error("Cannot invoke format on a Matrix interface"); + }, t.prototype.toString = function() { + throw new Error("Cannot invoke toString on a Matrix interface"); + }, t; +}, { + isClass: !0 +}); +function Bm(t, e, r) { + var n = t.constructor, a = new n(2), s = ""; + if (r) { + if (r < 1) + throw new Error("size must be in greater than 0"); + if (!Xe(r)) + throw new Error("size must be an integer"); + if (t.greaterThan(a.pow(r - 1).sub(1)) || t.lessThan(a.pow(r - 1).mul(-1))) + throw new Error("Value must be in range [-2^".concat(r - 1, ", 2^").concat(r - 1, "-1]")); + if (!t.isInteger()) + throw new Error("Value must be an integer"); + t.lessThan(0) && (t = t.add(a.pow(r))), s = "i".concat(r); + } + switch (e) { + case 2: + return "".concat(t.toBinary()).concat(s); + case 8: + return "".concat(t.toOctal()).concat(s); + case 16: + return "".concat(t.toHexadecimal()).concat(s); + default: + throw new Error("Base ".concat(e, " not supported ")); + } +} +function _T(t, e) { + if (typeof e == "function") + return e(t); + if (!t.isFinite()) + return t.isNaN() ? "NaN" : t.gt(0) ? "Infinity" : "-Infinity"; + var { + notation: r, + precision: n, + wordSize: a + } = x2(e); + switch (r) { + case "fixed": + return OT(t, n); + case "exponential": + return Yg(t, n); + case "engineering": + return MT(t, n); + case "bin": + return Bm(t, 2, a); + case "oct": + return Bm(t, 8, a); + case "hex": + return Bm(t, 16, a); + case "auto": { + var s = Xg(e?.lowerExp, -3), o = Xg(e?.upperExp, 5); + if (t.isZero()) return "0"; + var p, u = t.toSignificantDigits(n), f = u.e; + return f >= s && f < o ? p = u.toFixed() : p = Yg(t, n), p.replace(/((\.\d*?)(0+))($|e)/, function() { + var l = arguments[2], c = arguments[4]; + return l !== "." ? l + c : c; + }); + } + default: + throw new Error('Unknown notation "' + r + '". Choose "auto", "exponential", "fixed", "bin", "oct", or "hex.'); + } +} +function MT(t, e) { + var r = t.e, n = r % 3 === 0 ? r : r < 0 ? r - 3 - r % 3 : r - r % 3, a = t.mul(Math.pow(10, -n)), s = a.toPrecision(e); + if (s.includes("e")) { + var o = t.constructor; + s = new o(s).toFixed(); + } + return s + "e" + (r >= 0 ? "+" : "") + n.toString(); +} +function Yg(t, e) { + return e !== void 0 ? t.toExponential(e - 1) : t.toExponential(); +} +function OT(t, e) { + return t.toFixed(e); +} +function Xg(t, e) { + return ht(t) ? t : ct(t) ? t.toNumber() : e; +} +function FT(t, e) { + var r = t.length - e.length, n = t.length; + return t.substring(r, n) === e; +} +function Dt(t, e) { + var r = qT(t, e); + return e && typeof e == "object" && "truncate" in e && r.length > e.truncate ? r.substring(0, e.truncate - 3) + "..." : r; +} +function qT(t, e) { + if (typeof t == "number") + return na(t, e); + if (ct(t)) + return _T(t, e); + if (IT(t)) + return !e || e.fraction !== "decimal" ? t.s * t.n + "/" + t.d : t.toString(); + if (Array.isArray(t)) + return z2(t, e); + if (Er(t)) + return Fa(t); + if (typeof t == "function") + return t.syntax ? String(t.syntax) : "function"; + if (t && typeof t == "object") { + if (typeof t.format == "function") + return t.format(e); + if (t && t.toString(e) !== {}.toString()) + return t.toString(e); + var r = Object.keys(t).map((n) => Fa(n) + ": " + Dt(t[n], e)); + return "{" + r.join(", ") + "}"; + } + return String(t); +} +function Fa(t) { + for (var e = String(t), r = "", n = 0; n < e.length; ) { + var a = e.charAt(n); + r += a in Kg ? Kg[a] : a, n++; + } + return '"' + r + '"'; +} +var Kg = { + '"': '\\"', + "\\": "\\\\", + "\b": "\\b", + "\f": "\\f", + "\n": "\\n", + "\r": "\\r", + " ": "\\t" +}; +function _n(t) { + var e = String(t); + return e = e.replace(/&/g, "&").replace(/"/g, """).replace(/'/g, "'").replace(//g, ">"), e; +} +function z2(t, e) { + if (Array.isArray(t)) { + for (var r = "[", n = t.length, a = 0; a < n; a++) + a !== 0 && (r += ", "), r += z2(t[a], e); + return r += "]", r; + } else + return Dt(t, e); +} +function IT(t) { + return t && typeof t == "object" && typeof t.s == "number" && typeof t.n == "number" && typeof t.d == "number" || !1; +} +function Zm(t, e) { + if (!Er(t)) + throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: " + Vt(t) + ", index: 0)"); + if (!Er(e)) + throw new TypeError("Unexpected type of argument in function compareText (expected: string or Array or Matrix, actual: " + Vt(e) + ", index: 1)"); + return t === e ? 0 : t > e ? 1 : -1; +} +function xt(t, e, r) { + if (!(this instanceof xt)) + throw new SyntaxError("Constructor must be called with the new operator"); + this.actual = t, this.expected = e, this.relation = r, this.message = "Dimension mismatch (" + (Array.isArray(t) ? "[" + t.join(", ") + "]" : t) + " " + (this.relation || "!=") + " " + (Array.isArray(e) ? "[" + e.join(", ") + "]" : e) + ")", this.stack = new Error().stack; +} +xt.prototype = new RangeError(); +xt.prototype.constructor = RangeError; +xt.prototype.name = "DimensionError"; +xt.prototype.isDimensionError = !0; +function yn(t, e, r) { + if (!(this instanceof yn)) + throw new SyntaxError("Constructor must be called with the new operator"); + this.index = t, arguments.length < 3 ? (this.min = 0, this.max = e) : (this.min = e, this.max = r), this.min !== void 0 && this.index < this.min ? this.message = "Index out of range (" + this.index + " < " + this.min + ")" : this.max !== void 0 && this.index >= this.max ? this.message = "Index out of range (" + this.index + " > " + (this.max - 1) + ")" : this.message = "Index out of range (" + this.index + ")", this.stack = new Error().stack; +} +yn.prototype = new RangeError(); +yn.prototype.constructor = RangeError; +yn.prototype.name = "IndexError"; +yn.prototype.isIndexError = !0; +function gt(t) { + for (var e = []; Array.isArray(t); ) + e.push(t.length), t = t[0]; + return e; +} +function U2(t, e, r) { + var n, a = t.length; + if (a !== e[r]) + throw new xt(a, e[r]); + if (r < e.length - 1) { + var s = r + 1; + for (n = 0; n < a; n++) { + var o = t[n]; + if (!Array.isArray(o)) + throw new xt(e.length - 1, e.length, "<"); + U2(t[n], e, s); + } + } else + for (n = 0; n < a; n++) + if (Array.isArray(t[n])) + throw new xt(e.length + 1, e.length, ">"); +} +function e1(t, e) { + var r = e.length === 0; + if (r) { + if (Array.isArray(t)) + throw new xt(t.length, 0); + } else + U2(t, e, 0); +} +function ru(t, e) { + var r = t.isMatrix ? t._size : gt(t), n = e._sourceSize; + n.forEach((a, s) => { + if (a !== null && a !== r[s]) + throw new xt(a, r[s]); + }); +} +function Ht(t, e) { + if (t !== void 0) { + if (!ht(t) || !Xe(t)) + throw new TypeError("Index must be an integer (value: " + t + ")"); + if (t < 0 || typeof e == "number" && t >= e) + throw new yn(t, e); + } +} +function ka(t) { + for (var e = 0; e < t._dimensions.length; ++e) { + var r = t._dimensions[e]; + if (r._data && Rt(r._data)) { + if (r._size[0] === 0) + return !0; + } else if (r.isRange) { + if (r.start === r.end) + return !0; + } else if (Er(r) && r.length === 0) + return !0; + } + return !1; +} +function $a(t, e, r) { + if (!Array.isArray(e)) + throw new TypeError("Array expected"); + if (e.length === 0) + throw new Error("Resizing to scalar is not supported"); + e.forEach(function(a) { + if (!ht(a) || !Xe(a) || a < 0) + throw new TypeError("Invalid size, must contain positive integers (size: " + Dt(e) + ")"); + }), (ht(t) || ct(t)) && (t = [t]); + var n = r !== void 0 ? r : 0; + return Jm(t, e, 0, n), t; +} +function Jm(t, e, r, n) { + var a, s, o = t.length, p = e[r], u = Math.min(o, p); + if (t.length = p, r < e.length - 1) { + var f = r + 1; + for (a = 0; a < u; a++) + s = t[a], Array.isArray(s) || (s = [s], t[a] = s), Jm(s, e, f, n); + for (a = u; a < p; a++) + s = [], t[a] = s, Jm(s, e, f, n); + } else { + for (a = 0; a < u; a++) + for (; Array.isArray(t[a]); ) + t[a] = t[a][0]; + for (a = u; a < p; a++) + t[a] = n; + } +} +function Ed(t, e) { + var r = Lt(t), n = r.length; + if (!Array.isArray(t) || !Array.isArray(e)) + throw new TypeError("Array expected"); + if (e.length === 0) + throw new xt(0, n, "!="); + e = Sd(e, n); + var a = G2(e); + if (n !== a) + throw new xt(a, n, "!="); + try { + return BT(r, e); + } catch (s) { + throw s instanceof xt ? new xt(a, n, "!=") : s; + } +} +function Sd(t, e) { + var r = G2(t), n = t.slice(), a = -1, s = t.indexOf(a), o = t.indexOf(a, s + 1) >= 0; + if (o) + throw new Error("More than one wildcard in sizes"); + var p = s >= 0, u = e % r === 0; + if (p) + if (u) + n[s] = -e / r; + else + throw new Error("Could not replace wildcard, since " + e + " is no multiple of " + -r); + return n; +} +function G2(t) { + return t.reduce((e, r) => e * r, 1); +} +function BT(t, e) { + for (var r = t, n, a = e.length - 1; a > 0; a--) { + var s = e[a]; + n = []; + for (var o = r.length / s, p = 0; p < o; p++) + n.push(r.slice(p * s, (p + 1) * s)); + r = n; + } + return r; +} +function nu(t, e) { + for (var r = gt(t); Array.isArray(t) && t.length === 1; ) + t = t[0], r.shift(); + for (var n = r.length; r[n - 1] === 1; ) + n--; + return n < r.length && (t = H2(t, n, 0), r.length = n), t; +} +function H2(t, e, r) { + var n, a; + if (r < e) { + var s = r + 1; + for (n = 0, a = t.length; n < a; n++) + t[n] = H2(t[n], e, s); + } else + for (; Array.isArray(t); ) + t = t[0]; + return t; +} +function Q2(t, e, r, n) { + var a = n || gt(t); + if (r) + for (var s = 0; s < r; s++) + t = [t], a.unshift(1); + for (t = V2(t, e, 0); a.length < e; ) + a.push(1); + return t; +} +function V2(t, e, r) { + var n, a; + if (Array.isArray(t)) { + var s = r + 1; + for (n = 0, a = t.length; n < a; n++) + t[n] = V2(t[n], e, s); + } else + for (var o = r; o < e; o++) + t = [t]; + return t; +} +function Lt(t) { + if (!Array.isArray(t)) + return t; + var e = []; + return t.forEach(function r(n) { + Array.isArray(n) ? n.forEach(r) : e.push(n); + }), e; +} +function fi(t, e) { + return Array.prototype.map.call(t, e); +} +function Pu(t, e) { + Array.prototype.forEach.call(t, e); +} +function W2(t, e) { + if (gt(t).length !== 1) + throw new Error("Only one dimensional matrices supported"); + return Array.prototype.filter.call(t, e); +} +function iu(t, e) { + if (gt(t).length !== 1) + throw new Error("Only one dimensional matrices supported"); + return Array.prototype.filter.call(t, (r) => e.test(r)); +} +function t1(t, e) { + return Array.prototype.join.call(t, e); +} +function za(t) { + if (!Array.isArray(t)) + throw new TypeError("Array input expected"); + if (t.length === 0) + return t; + var e = [], r = 0; + e[0] = { + value: t[0], + identifier: 0 + }; + for (var n = 1; n < t.length; n++) + t[n] === t[n - 1] ? r++ : r = 0, e.push({ + value: t[n], + identifier: r + }); + return e; +} +function au(t) { + if (!Array.isArray(t)) + throw new TypeError("Array input expected"); + if (t.length === 0) + return t; + for (var e = [], r = 0; r < t.length; r++) + e.push(t[r].value); + return e; +} +function qs(t, e) { + for (var r, n = 0, a = 0; a < t.length; a++) { + var s = t[a], o = Array.isArray(s); + if (a === 0 && o && (n = s.length), o && s.length !== n) + return; + var p = o ? qs(s, e) : e(s); + if (r === void 0) + r = p; + else if (r !== p) + return "mixed"; + } + return r; +} +function j2(t, e, r, n) { + if (n < r) { + if (t.length !== e.length) + throw new xt(t.length, e.length); + for (var a = [], s = 0; s < t.length; s++) + a[s] = j2(t[s], e[s], r, n + 1); + return a; + } else + return t.concat(e); +} +function Z2() { + var t = Array.prototype.slice.call(arguments, 0, -1), e = Array.prototype.slice.call(arguments, -1); + if (t.length === 1) + return t[0]; + if (t.length > 1) + return t.slice(1).reduce(function(r, n) { + return j2(r, n, e, 0); + }, t[0]); + throw new Error("Wrong number of arguments in function concat"); +} +function RT() { + for (var t = arguments.length, e = new Array(t), r = 0; r < t; r++) + e[r] = arguments[r]; + for (var n = e.map((h) => h.length), a = Math.max(...n), s = new Array(a).fill(null), o = 0; o < e.length; o++) + for (var p = e[o], u = n[o], f = 0; f < u; f++) { + var l = a - u + f; + p[f] > s[l] && (s[l] = p[f]); + } + for (var c = 0; c < e.length; c++) + su(e[c], s); + return s; +} +function su(t, e) { + for (var r = e.length, n = t.length, a = 0; a < n; a++) { + var s = r - n + a; + if (t[a] < e[s] && t[a] > 1 || t[a] > e[s]) + throw new Error("shape missmatch: missmatch is found in arg with shape (".concat(t, ") not possible to broadcast dimension ").concat(n, " with size ").concat(t[a], " to size ").concat(e[s])); + } +} +function r1(t, e) { + var r = gt(t); + if (ia(r, e)) + return t; + su(r, e); + var n = RT(r, e), a = n.length, s = [...Array(a - r.length).fill(1), ...r], o = PT(t); + r.length < a && (o = Ed(o, s), r = gt(o)); + for (var p = 0; p < a; p++) + r[p] < n[p] && (o = LT(o, n[p], p), r = gt(o)); + return o; +} +function LT(t, e, r) { + return Z2(...Array(e).fill(t), r); +} +function PT(t) { + return hr([], t); +} +function kT(t) { + var e = 0, r = 1, n = /* @__PURE__ */ Object.create(null), a = /* @__PURE__ */ Object.create(null), s = 0, o = function(u) { + var f = a[u]; + if (f && (delete n[f], delete a[u], --e, r === f)) { + if (!e) { + s = 0, r = 1; + return; + } + for (; !Object.prototype.hasOwnProperty.call(n, ++r); ) + ; + } + }; + return t = Math.abs(t), { + hit: function(u) { + var f = a[u], l = ++s; + if (n[l] = u, a[u] = l, !f) + return ++e, e <= t ? void 0 : (u = n[r], o(u), u); + if (delete n[f], r === f) + for (; !Object.prototype.hasOwnProperty.call(n, ++r); ) + ; + }, + delete: o, + clear: function() { + e = s = 0, r = 1, n = /* @__PURE__ */ Object.create(null), a = /* @__PURE__ */ Object.create(null); + } + }; +} +function Us(t) { + var { + hasher: e, + limit: r + } = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : {}; + return r = r ?? Number.POSITIVE_INFINITY, e = e ?? JSON.stringify, function n() { + typeof n.cache != "object" && (n.cache = { + values: /* @__PURE__ */ new Map(), + lru: kT(r || Number.POSITIVE_INFINITY) + }); + for (var a = [], s = 0; s < arguments.length; s++) + a[s] = arguments[s]; + var o = e(a); + if (n.cache.values.has(o)) + return n.cache.lru.hit(o), n.cache.values.get(o); + var p = t.apply(t, a); + return n.cache.values.set(o, p), n.cache.values.delete(n.cache.lru.hit(o)), p; + }; +} +function J2(t) { + return Object.keys(t.signatures || {}).reduce(function(e, r) { + var n = (r.match(/,/g) || []).length + 1; + return Math.max(e, n); + }, -1); +} +var $T = "DenseMatrix", zT = ["Matrix"], ku = /* @__PURE__ */ j($T, zT, (t) => { + var { + Matrix: e + } = t; + function r(l, c) { + if (!(this instanceof r)) + throw new SyntaxError("Constructor must be called with the new operator"); + if (c && !Er(c)) + throw new Error("Invalid datatype: " + c); + if (tt(l)) + l.type === "DenseMatrix" ? (this._data = nt(l._data), this._size = nt(l._size), this._datatype = c || l._datatype) : (this._data = l.toArray(), this._size = l.size(), this._datatype = c || l._datatype); + else if (l && Rt(l.data) && Rt(l.size)) + this._data = l.data, this._size = l.size, e1(this._data, this._size), this._datatype = c || l.datatype; + else if (Rt(l)) + this._data = f(l), this._size = gt(this._data), e1(this._data, this._size), this._datatype = c; + else { + if (l) + throw new TypeError("Unsupported type of data (" + Vt(l) + ")"); + this._data = [], this._size = [0], this._datatype = c; + } + } + r.prototype = new e(), r.prototype.createDenseMatrix = function(l, c) { + return new r(l, c); + }, Object.defineProperty(r, "name", { + value: "DenseMatrix" + }), r.prototype.constructor = r, r.prototype.type = "DenseMatrix", r.prototype.isDenseMatrix = !0, r.prototype.getDataType = function() { + return qs(this._data, Vt); + }, r.prototype.storage = function() { + return "dense"; + }, r.prototype.datatype = function() { + return this._datatype; + }, r.prototype.create = function(l, c) { + return new r(l, c); + }, r.prototype.subset = function(l, c, h) { + switch (arguments.length) { + case 1: + return n(this, l); + case 2: + case 3: + return s(this, l, c, h); + default: + throw new SyntaxError("Wrong number of arguments"); + } + }, r.prototype.get = function(l) { + if (!Rt(l)) + throw new TypeError("Array expected"); + if (l.length !== this._size.length) + throw new xt(l.length, this._size.length); + for (var c = 0; c < l.length; c++) + Ht(l[c], this._size[c]); + for (var h = this._data, d = 0, g = l.length; d < g; d++) { + var v = l[d]; + Ht(v, h.length), h = h[v]; + } + return h; + }, r.prototype.set = function(l, c, h) { + if (!Rt(l)) + throw new TypeError("Array expected"); + if (l.length < this._size.length) + throw new xt(l.length, this._size.length, "<"); + var d, g, v, N = l.map(function(C) { + return C + 1; + }); + u(this, N, h); + var b = this._data; + for (d = 0, g = l.length - 1; d < g; d++) + v = l[d], Ht(v, b.length), b = b[v]; + return v = l[l.length - 1], Ht(v, b.length), b[v] = c, this; + }; + function n(l, c) { + if (!Va(c)) + throw new TypeError("Invalid index"); + var h = c.isScalar(); + if (h) + return l.get(c.min()); + var d = c.size(); + if (d.length !== l._size.length) + throw new xt(d.length, l._size.length); + for (var g = c.min(), v = c.max(), N = 0, b = l._size.length; N < b; N++) + Ht(g[N], l._size[N]), Ht(v[N], l._size[N]); + return new r(a(l._data, c, d.length, 0), l._datatype); + } + function a(l, c, h, d) { + var g = d === h - 1, v = c.dimension(d); + return g ? v.map(function(N) { + return Ht(N, l.length), l[N]; + }).valueOf() : v.map(function(N) { + Ht(N, l.length); + var b = l[N]; + return a(b, c, h, d + 1); + }).valueOf(); + } + function s(l, c, h, d) { + if (!c || c.isIndex !== !0) + throw new TypeError("Invalid index"); + var g = c.size(), v = c.isScalar(), N; + if (tt(h) ? (N = h.size(), h = h.valueOf()) : N = gt(h), v) { + if (N.length !== 0) + throw new TypeError("Scalar expected"); + l.set(c.min(), h, d); + } else { + if (!ia(N, g)) + try { + N.length === 0 ? h = r1([h], g) : h = r1(h, g), N = gt(h); + } catch { + } + if (g.length < l._size.length) + throw new xt(g.length, l._size.length, "<"); + if (N.length < g.length) { + for (var b = 0, C = 0; g[b] === 1 && N[b] === 1; ) + b++; + for (; g[b] === 1; ) + C++, b++; + h = Q2(h, g.length, C, N); + } + if (!ia(g, N)) + throw new xt(g, N, ">"); + var x = c.max().map(function(A) { + return A + 1; + }); + u(l, x, d); + var E = g.length, D = 0; + o(l._data, c, h, E, D); + } + return l; + } + function o(l, c, h, d, g) { + var v = g === d - 1, N = c.dimension(g); + v ? N.forEach(function(b, C) { + Ht(b), l[b] = h[C[0]]; + }) : N.forEach(function(b, C) { + Ht(b), o(l[b], c, h[C[0]], d, g + 1); + }); + } + r.prototype.resize = function(l, c, h) { + if (!cn(l)) + throw new TypeError("Array or Matrix expected"); + var d = l.valueOf().map((v) => Array.isArray(v) && v.length === 1 ? v[0] : v), g = h ? this.clone() : this; + return p(g, d, c); + }; + function p(l, c, h) { + if (c.length === 0) { + for (var d = l._data; Rt(d); ) + d = d[0]; + return d; + } + return l._size = c.slice(0), l._data = $a(l._data, l._size, h), l; + } + r.prototype.reshape = function(l, c) { + var h = c ? this.clone() : this; + h._data = Ed(h._data, l); + var d = h._size.reduce((g, v) => g * v); + return h._size = Sd(l, d), h; + }; + function u(l, c, h) { + for (var d = l._size.slice(0), g = !1; d.length < c.length; ) + d.push(0), g = !0; + for (var v = 0, N = c.length; v < N; v++) + c[v] > d[v] && (d[v] = c[v], g = !0); + g && p(l, d, h); + } + r.prototype.clone = function() { + var l = new r({ + data: nt(this._data), + size: nt(this._size), + datatype: this._datatype + }); + return l; + }, r.prototype.size = function() { + return this._size.slice(0); + }, r.prototype.map = function(l) { + var c = this, h = J2(l), d = function N(b, C) { + return Rt(b) ? b.map(function(x, E) { + return N(x, C.concat(E)); + }) : h === 1 ? l(b) : h === 2 ? l(b, C) : l(b, C, c); + }, g = d(this._data, []), v = this._datatype !== void 0 ? qs(g, Vt) : void 0; + return new r(g, v); + }, r.prototype.forEach = function(l) { + var c = this, h = function d(g, v) { + Rt(g) ? g.forEach(function(N, b) { + d(N, v.concat(b)); + }) : l(g, v, c); + }; + h(this._data, []); + }, r.prototype[Symbol.iterator] = function* () { + var l = function* c(h, d) { + if (Rt(h)) + for (var g = 0; g < h.length; g++) + yield* c(h[g], d.concat(g)); + else + yield { + value: h, + index: d + }; + }; + yield* l(this._data, []); + }, r.prototype.rows = function() { + var l = [], c = this.size(); + if (c.length !== 2) + throw new TypeError("Rows can only be returned for a 2D matrix."); + var h = this._data; + for (var d of h) + l.push(new r([d], this._datatype)); + return l; + }, r.prototype.columns = function() { + var l = this, c = [], h = this.size(); + if (h.length !== 2) + throw new TypeError("Rows can only be returned for a 2D matrix."); + for (var d = this._data, g = function(b) { + var C = d.map((x) => [x[b]]); + c.push(new r(C, l._datatype)); + }, v = 0; v < h[1]; v++) + g(v); + return c; + }, r.prototype.toArray = function() { + return nt(this._data); + }, r.prototype.valueOf = function() { + return this._data; + }, r.prototype.format = function(l) { + return Dt(this._data, l); + }, r.prototype.toString = function() { + return Dt(this._data); + }, r.prototype.toJSON = function() { + return { + mathjs: "DenseMatrix", + data: this._data, + size: this._size, + datatype: this._datatype + }; + }, r.prototype.diagonal = function(l) { + if (l) { + if (ct(l) && (l = l.toNumber()), !ht(l) || !Xe(l)) + throw new TypeError("The parameter k must be an integer number"); + } else + l = 0; + for (var c = l > 0 ? l : 0, h = l < 0 ? -l : 0, d = this._size[0], g = this._size[1], v = Math.min(d - h, g - c), N = [], b = 0; b < v; b++) + N[b] = this._data[b + h][b + c]; + return new r({ + data: N, + size: [v], + datatype: this._datatype + }); + }, r.diagonal = function(l, c, h, d) { + if (!Rt(l)) + throw new TypeError("Array expected, size parameter"); + if (l.length !== 2) + throw new Error("Only two dimensions matrix are supported"); + if (l = l.map(function(M) { + if (ct(M) && (M = M.toNumber()), !ht(M) || !Xe(M) || M < 1) + throw new Error("Size values must be positive integers"); + return M; + }), h) { + if (ct(h) && (h = h.toNumber()), !ht(h) || !Xe(h)) + throw new TypeError("The parameter k must be an integer number"); + } else + h = 0; + var g = h > 0 ? h : 0, v = h < 0 ? -h : 0, N = l[0], b = l[1], C = Math.min(N - v, b - g), x; + if (Rt(c)) { + if (c.length !== C) + throw new Error("Invalid value array length"); + x = function(_) { + return c[_]; + }; + } else if (tt(c)) { + var E = c.size(); + if (E.length !== 1 || E[0] !== C) + throw new Error("Invalid matrix length"); + x = function(_) { + return c.get([_]); + }; + } else + x = function() { + return c; + }; + d || (d = ct(x(0)) ? x(0).mul(0) : 0); + var D = []; + if (l.length > 0) { + D = $a(D, l, d); + for (var A = 0; A < C; A++) + D[A + v][A + g] = x(A); + } + return new r({ + data: D, + size: [N, b] + }); + }, r.fromJSON = function(l) { + return new r(l); + }, r.prototype.swapRows = function(l, c) { + if (!ht(l) || !Xe(l) || !ht(c) || !Xe(c)) + throw new Error("Row index must be positive integers"); + if (this._size.length !== 2) + throw new Error("Only two dimensional matrix is supported"); + return Ht(l, this._size[0]), Ht(c, this._size[0]), r._swapRows(l, c, this._data), this; + }, r._swapRows = function(l, c, h) { + var d = h[l]; + h[l] = h[c], h[c] = d; + }; + function f(l) { + return tt(l) ? f(l.valueOf()) : Rt(l) ? l.map(f) : l; + } + return r; +}, { + isClass: !0 +}), n1 = "clone", UT = ["typed"], $u = /* @__PURE__ */ j(n1, UT, (t) => { + var { + typed: e + } = t; + return e(n1, { + any: nt + }); +}); +function Y2(t) { + var e = t.length, r = t[0].length, n, a, s = []; + for (a = 0; a < r; a++) { + var o = []; + for (n = 0; n < e; n++) + o.push(t[n][a]); + s.push(o); + } + return s; +} +function Za(t) { + for (var e = 0; e < t.length; e++) + if (cn(t[e])) + return !0; + return !1; +} +function hi(t, e) { + tt(t) && (t = t.valueOf()); + for (var r = 0, n = t.length; r < n; r++) { + var a = t[r]; + Array.isArray(a) ? hi(a, e) : e(a); + } +} +function Nt(t, e, r) { + return t && typeof t.map == "function" ? t.map(function(n) { + return Nt(n, e); + }) : e(t); +} +function zu(t, e, r) { + var n = Array.isArray(t) ? gt(t) : t.size(); + if (e < 0 || e >= n.length) + throw new yn(e, n.length); + return tt(t) ? t.create(ou(t.valueOf(), e, r)) : ou(t, e, r); +} +function ou(t, e, r) { + var n, a, s, o; + if (e <= 0) + if (Array.isArray(t[0])) { + for (o = Y2(t), a = [], n = 0; n < o.length; n++) + a[n] = ou(o[n], e - 1, r); + return a; + } else { + for (s = t[0], n = 1; n < t.length; n++) + s = r(s, t[n]); + return s; + } + else { + for (a = [], n = 0; n < t.length; n++) + a[n] = ou(t[n], e - 1, r); + return a; + } +} +function i1(t, e, r, n, a, s, o, p, u, f, l) { + var c = t._values, h = t._index, d = t._ptr, g, v, N, b; + if (n) + for (v = d[e], N = d[e + 1], g = v; g < N; g++) + b = h[g], r[b] !== s ? (r[b] = s, o.push(b), n[b] = c[g]) : (n[b] = p(n[b], c[g]), a[b] = s); + else + for (v = d[e], N = d[e + 1], g = v; g < N; g++) + b = h[g], r[b] !== s ? (r[b] = s, o.push(b)) : a[b] = s; +} +var a1 = "isInteger", GT = ["typed"], Uu = /* @__PURE__ */ j(a1, GT, (t) => { + var { + typed: e + } = t; + return e(a1, { + number: Xe, + // TODO: what to do with isInteger(add(0.1, 0.2)) ? + BigNumber: function(n) { + return n.isInt(); + }, + bigint: function(n) { + return !0; + }, + Fraction: function(n) { + return n.d === 1 && isFinite(n.n); + }, + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + }); +}), $n = "number", Ja = "number, number"; +function X2(t) { + return Math.abs(t); +} +X2.signature = $n; +function K2(t, e) { + return t + e; +} +K2.signature = Ja; +function ew(t, e) { + return t - e; +} +ew.signature = Ja; +function tw(t, e) { + return t * e; +} +tw.signature = Ja; +function rw(t) { + return -t; +} +rw.signature = $n; +function nw(t) { + return t; +} +nw.signature = $n; +function Cs(t) { + return JS(t); +} +Cs.signature = $n; +function iw(t) { + return t * t * t; +} +iw.signature = $n; +function aw(t) { + return Math.exp(t); +} +aw.signature = $n; +function sw(t) { + return YS(t); +} +sw.signature = $n; +function ow(t, e) { + if (!Xe(t) || !Xe(e)) + throw new Error("Parameters in function lcm must be integer numbers"); + if (t === 0 || e === 0) + return 0; + for (var r, n = t * e; e !== 0; ) + r = e, e = t % r, t = r; + return Math.abs(n / t); +} +ow.signature = Ja; +function HT(t, e) { + return Math.log(t); +} +function uw(t) { + return jS(t); +} +uw.signature = $n; +function lw(t) { + return WS(t); +} +lw.signature = $n; +function s1(t) { + var e = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : 2, r = e < 0; + if (r && (e = -e), e === 0) + throw new Error("Root must be non-zero"); + if (t < 0 && Math.abs(e) % 2 !== 1) + throw new Error("Root must be odd when a is negative."); + if (t === 0) + return r ? 1 / 0 : 0; + if (!isFinite(t)) + return r ? 0 : t; + var n = Math.pow(Math.abs(t), 1 / e); + return n = t < 0 ? -n : n, r ? 1 / n : n; +} +function Ym(t) { + return Ci(t); +} +Ym.signature = $n; +function cw(t) { + return t * t; +} +cw.signature = $n; +function fw(t, e) { + var r, n, a, s = 0, o = 1, p = 1, u = 0; + if (!Xe(t) || !Xe(e)) + throw new Error("Parameters in function xgcd must be integer numbers"); + for (; e; ) + n = Math.floor(t / e), a = t - n * e, r = s, s = o - n * s, o = r, r = p, p = u - n * p, u = r, t = e, e = a; + var f; + return t < 0 ? f = [-t, -o, -u] : f = [t, t ? o : 0, u], f; +} +fw.signature = Ja; +function pw(t, e) { + return t * t < 1 && e === 1 / 0 || t * t > 1 && e === -1 / 0 ? 0 : Math.pow(t, e); +} +pw.signature = Ja; +function Es(t) { + var e = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : 0; + if (!Xe(e) || e < 0 || e > 15) + throw new Error("Number of decimals in function round must be an integer from 0 to 15 inclusive"); + return parseFloat(b2(t, e)); +} +var QT = "number", Ya = "number, number"; +function hw(t, e) { + if (!Xe(t) || !Xe(e)) + throw new Error("Integers expected in function bitAnd"); + return t & e; +} +hw.signature = Ya; +function mw(t) { + if (!Xe(t)) + throw new Error("Integer expected in function bitNot"); + return ~t; +} +mw.signature = QT; +function dw(t, e) { + if (!Xe(t) || !Xe(e)) + throw new Error("Integers expected in function bitOr"); + return t | e; +} +dw.signature = Ya; +function vw(t, e) { + if (!Xe(t) || !Xe(e)) + throw new Error("Integers expected in function bitXor"); + return t ^ e; +} +vw.signature = Ya; +function gw(t, e) { + if (!Xe(t) || !Xe(e)) + throw new Error("Integers expected in function leftShift"); + return t << e; +} +gw.signature = Ya; +function yw(t, e) { + if (!Xe(t) || !Xe(e)) + throw new Error("Integers expected in function rightArithShift"); + return t >> e; +} +yw.signature = Ya; +function xw(t, e) { + if (!Xe(t) || !Xe(e)) + throw new Error("Integers expected in function rightLogShift"); + return t >>> e; +} +xw.signature = Ya; +function li(t, e) { + if (e < t) + return 1; + if (e === t) + return e; + var r = e + t >> 1; + return li(t, r) * li(r + 1, e); +} +function bw(t, e) { + if (!Xe(t) || t < 0) + throw new TypeError("Positive integer value expected in function combinations"); + if (!Xe(e) || e < 0) + throw new TypeError("Positive integer value expected in function combinations"); + if (e > t) + throw new TypeError("k must be less than or equal to n"); + for (var r = t - e, n = 1, a = e < r ? r + 1 : e + 1, s = 2, o = e < r ? e : r, p = a; p <= t; ++p) + for (n *= p; s <= o && n % s === 0; ) + n /= s, ++s; + return s <= o && (n /= li(s, o)), n; +} +bw.signature = "number, number"; +var VT = Math.PI, WT = 2 * Math.PI, jT = Math.E, ZT = 1.618033988749895, JT = "number", Cd = "number, number"; +function ww(t) { + return !t; +} +ww.signature = JT; +function Xm(t, e) { + return !!(t || e); +} +Xm.signature = Cd; +function Km(t, e) { + return !!t != !!e; +} +Km.signature = Cd; +function ed(t, e) { + return !!(t && e); +} +ed.signature = Cd; +function uu(t) { + var e; + if (Xe(t)) + return t <= 0 ? isFinite(t) ? 1 / 0 : NaN : t > 171 ? 1 / 0 : li(1, t - 1); + if (t < 0.5) + return Math.PI / (Math.sin(Math.PI * t) * uu(1 - t)); + if (t >= 171.35) + return 1 / 0; + if (t > 85) { + var r = t * t, n = r * t, a = n * t, s = a * t; + return Math.sqrt(2 * Math.PI / t) * Math.pow(t / Math.E, t) * (1 + 1 / (12 * t) + 1 / (288 * r) - 139 / (51840 * n) - 571 / (2488320 * a) + 163879 / (209018880 * s) + 5246819 / (75246796800 * s * t)); + } + --t, e = Ba[0]; + for (var o = 1; o < Ba.length; ++o) + e += Ba[o] / (t + o); + var p = t + Nw + 0.5; + return Math.sqrt(2 * Math.PI) * Math.pow(p, t + 0.5) * Math.exp(-p) * e; +} +uu.signature = "number"; +var Nw = 4.7421875, Ba = [0.9999999999999971, 57.15623566586292, -59.59796035547549, 14.136097974741746, -0.4919138160976202, 3399464998481189e-20, 4652362892704858e-20, -9837447530487956e-20, 1580887032249125e-19, -21026444172410488e-20, 21743961811521265e-20, -1643181065367639e-19, 8441822398385275e-20, -26190838401581408e-21, 36899182659531625e-22], Dw = 0.9189385332046728, YT = 5, XT = 7, o1 = [1.000000000190015, 76.18009172947146, -86.50532032941678, 24.01409824083091, -1.231739572450155, 0.001208650973866179, -5395239384953e-18]; +function lu(t) { + if (t < 0) return NaN; + if (t === 0) return 1 / 0; + if (!isFinite(t)) return t; + if (t < 0.5) + return Math.log(Math.PI / Math.sin(Math.PI * t)) - lu(1 - t); + t = t - 1; + for (var e = t + YT + 0.5, r = o1[0], n = XT - 1; n >= 1; n--) + r += o1[n] / (t + n); + return Dw + (t + 0.5) * Math.log(e) - e + Math.log(r); +} +lu.signature = "number"; +var jr = "number"; +function Aw(t) { + return tC(t); +} +Aw.signature = jr; +function Ew(t) { + return Math.atan(1 / t); +} +Ew.signature = jr; +function Sw(t) { + return isFinite(t) ? (Math.log((t + 1) / t) + Math.log(t / (t - 1))) / 2 : 0; +} +Sw.signature = jr; +function Cw(t) { + return Math.asin(1 / t); +} +Cw.signature = jr; +function Tw(t) { + var e = 1 / t; + return Math.log(e + Math.sqrt(e * e + 1)); +} +Tw.signature = jr; +function _w(t) { + return Math.acos(1 / t); +} +_w.signature = jr; +function Mw(t) { + var e = 1 / t, r = Math.sqrt(e * e - 1); + return Math.log(r + e); +} +Mw.signature = jr; +function Ow(t) { + return rC(t); +} +Ow.signature = jr; +function Fw(t) { + return nC(t); +} +Fw.signature = jr; +function qw(t) { + return 1 / Math.tan(t); +} +qw.signature = jr; +function Iw(t) { + var e = Math.exp(2 * t); + return (e + 1) / (e - 1); +} +Iw.signature = jr; +function Bw(t) { + return 1 / Math.sin(t); +} +Bw.signature = jr; +function Rw(t) { + return t === 0 ? Number.POSITIVE_INFINITY : Math.abs(2 / (Math.exp(t) - Math.exp(-t))) * Ci(t); +} +Rw.signature = jr; +function Lw(t) { + return 1 / Math.cos(t); +} +Lw.signature = jr; +function Pw(t) { + return 2 / (Math.exp(t) + Math.exp(-t)); +} +Pw.signature = jr; +function kw(t) { + return aC(t); +} +kw.signature = jr; +var Td = "number"; +function $w(t) { + return t < 0; +} +$w.signature = Td; +function zw(t) { + return t > 0; +} +zw.signature = Td; +function Uw(t) { + return Number.isNaN(t); +} +Uw.signature = Td; +function pn(t, e) { + var r = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : 1e-9, n = arguments.length > 3 && arguments[3] !== void 0 ? arguments[3] : 0; + if (r <= 0) + throw new Error("Relative tolerance must be greater than 0"); + if (n < 0) + throw new Error("Absolute tolerance must be at least 0"); + return t.isNaN() || e.isNaN() ? !1 : !t.isFinite() || !e.isFinite() ? t.eq(e) : t.eq(e) ? !0 : t.minus(e).abs().lte(t.constructor.max(t.constructor.max(t.abs(), e.abs()).mul(r), n)); +} +var u1 = "isNegative", KT = ["typed", "config"], Gu = /* @__PURE__ */ j(u1, KT, (t) => { + var { + typed: e, + config: r + } = t; + return e(u1, { + number: (n) => Lr(n, 0, r.relTol, r.absTol) ? !1 : $w(n), + BigNumber: (n) => pn(n, new n.constructor(0), r.relTol, r.absTol) ? !1 : n.isNeg() && !n.isZero() && !n.isNaN(), + bigint: (n) => n < 0n, + Fraction: (n) => n.s < 0, + // It's enough to decide on the sign + Unit: e.referToSelf((n) => (a) => e.find(n, a.valueType())(a.value)), + "Array | Matrix": e.referToSelf((n) => (a) => Nt(a, n)) + }); +}), l1 = "isNumeric", e3 = ["typed"], Hu = /* @__PURE__ */ j(l1, e3, (t) => { + var { + typed: e + } = t; + return e(l1, { + "number | BigNumber | bigint | Fraction | boolean": () => !0, + "Complex | Unit | string | null | undefined | Node": () => !1, + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + }); +}), c1 = "hasNumericValue", t3 = ["typed", "isNumeric"], Qu = /* @__PURE__ */ j(c1, t3, (t) => { + var { + typed: e, + isNumeric: r + } = t; + return e(c1, { + boolean: () => !0, + string: function(a) { + return a.trim().length > 0 && !isNaN(Number(a)); + }, + any: function(a) { + return r(a); + } + }); +}), f1 = "isPositive", r3 = ["typed", "config"], Vu = /* @__PURE__ */ j(f1, r3, (t) => { + var { + typed: e, + config: r + } = t; + return e(f1, { + number: (n) => Lr(n, 0, r.relTol, r.absTol) ? !1 : zw(n), + BigNumber: (n) => pn(n, new n.constructor(0), r.relTol, r.absTol) ? !1 : !n.isNeg() && !n.isZero() && !n.isNaN(), + bigint: (n) => n > 0n, + Fraction: (n) => n.s > 0 && n.n > 0, + Unit: e.referToSelf((n) => (a) => e.find(n, a.valueType())(a.value)), + "Array | Matrix": e.referToSelf((n) => (a) => Nt(a, n)) + }); +}), p1 = "isZero", n3 = ["typed", "equalScalar"], Wu = /* @__PURE__ */ j(p1, n3, (t) => { + var { + typed: e, + equalScalar: r + } = t; + return e(p1, { + "number | BigNumber | Complex | Fraction": (n) => r(n, 0), + bigint: (n) => n === 0n, + Unit: e.referToSelf((n) => (a) => e.find(n, a.valueType())(a.value)), + "Array | Matrix": e.referToSelf((n) => (a) => Nt(a, n)) + }); +}), h1 = "isNaN", i3 = ["typed"], ju = /* @__PURE__ */ j(h1, i3, (t) => { + var { + typed: e + } = t; + return e(h1, { + number: Uw, + BigNumber: function(n) { + return n.isNaN(); + }, + bigint: function(n) { + return !1; + }, + Fraction: function(n) { + return !1; + }, + Complex: function(n) { + return n.isNaN(); + }, + Unit: function(n) { + return Number.isNaN(n.value); + }, + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + }); +}), m1 = "typeOf", a3 = ["typed"], Zu = /* @__PURE__ */ j(m1, a3, (t) => { + var { + typed: e + } = t; + return e(m1, { + any: Vt + }); +}); +function s3(t, e, r, n) { + return Lr(t.re, e.re, r, n) && Lr(t.im, e.im, r, n); +} +var Xa = /* @__PURE__ */ j("compareUnits", ["typed"], (t) => { + var { + typed: e + } = t; + return { + "Unit, Unit": e.referToSelf((r) => (n, a) => { + if (!n.equalBase(a)) + throw new Error("Cannot compare units with different base"); + return e.find(r, [n.valueType(), a.valueType()])(n.value, a.value); + }) + }; +}), cu = "equalScalar", o3 = ["typed", "config"], Ju = /* @__PURE__ */ j(cu, o3, (t) => { + var { + typed: e, + config: r + } = t, n = Xa({ + typed: e + }); + return e(cu, { + "boolean, boolean": function(s, o) { + return s === o; + }, + "number, number": function(s, o) { + return Lr(s, o, r.relTol, r.absTol); + }, + "BigNumber, BigNumber": function(s, o) { + return s.eq(o) || pn(s, o, r.relTol, r.absTol); + }, + "bigint, bigint": function(s, o) { + return s === o; + }, + "Fraction, Fraction": function(s, o) { + return s.equals(o); + }, + "Complex, Complex": function(s, o) { + return s3(s, o, r.relTol, r.absTol); + } + }, n); +}); +j(cu, ["typed", "config"], (t) => { + var { + typed: e, + config: r + } = t; + return e(cu, { + "number, number": function(a, s) { + return Lr(a, s, r.relTol, r.absTol); + } + }); +}); +var u3 = "SparseMatrix", l3 = ["typed", "equalScalar", "Matrix"], Yu = /* @__PURE__ */ j(u3, l3, (t) => { + var { + typed: e, + equalScalar: r, + Matrix: n + } = t; + function a(v, N) { + if (!(this instanceof a)) + throw new SyntaxError("Constructor must be called with the new operator"); + if (N && !Er(N)) + throw new Error("Invalid datatype: " + N); + if (tt(v)) + s(this, v, N); + else if (v && Rt(v.index) && Rt(v.ptr) && Rt(v.size)) + this._values = v.values, this._index = v.index, this._ptr = v.ptr, this._size = v.size, this._datatype = N || v.datatype; + else if (Rt(v)) + o(this, v, N); + else { + if (v) + throw new TypeError("Unsupported type of data (" + Vt(v) + ")"); + this._values = [], this._index = [], this._ptr = [0], this._size = [0, 0], this._datatype = N; + } + } + function s(v, N, b) { + N.type === "SparseMatrix" ? (v._values = N._values ? nt(N._values) : void 0, v._index = nt(N._index), v._ptr = nt(N._ptr), v._size = nt(N._size), v._datatype = b || N._datatype) : o(v, N.valueOf(), b || N._datatype); + } + function o(v, N, b) { + v._values = [], v._index = [], v._ptr = [], v._datatype = b; + var C = N.length, x = 0, E = r, D = 0; + if (Er(b) && (E = e.find(r, [b, b]) || r, D = e.convert(0, b)), C > 0) { + var A = 0; + do { + v._ptr.push(v._index.length); + for (var M = 0; M < C; M++) { + var _ = N[M]; + if (Rt(_)) { + if (A === 0 && x < _.length && (x = _.length), A < _.length) { + var O = _[A]; + E(O, D) || (v._values.push(O), v._index.push(M)); + } + } else + A === 0 && x < 1 && (x = 1), E(_, D) || (v._values.push(_), v._index.push(M)); + } + A++; + } while (A < x); + } + v._ptr.push(v._index.length), v._size = [C, x]; + } + a.prototype = new n(), a.prototype.createSparseMatrix = function(v, N) { + return new a(v, N); + }, Object.defineProperty(a, "name", { + value: "SparseMatrix" + }), a.prototype.constructor = a, a.prototype.type = "SparseMatrix", a.prototype.isSparseMatrix = !0, a.prototype.getDataType = function() { + return qs(this._values, Vt); + }, a.prototype.storage = function() { + return "sparse"; + }, a.prototype.datatype = function() { + return this._datatype; + }, a.prototype.create = function(v, N) { + return new a(v, N); + }, a.prototype.density = function() { + var v = this._size[0], N = this._size[1]; + return v !== 0 && N !== 0 ? this._index.length / (v * N) : 0; + }, a.prototype.subset = function(v, N, b) { + if (!this._values) + throw new Error("Cannot invoke subset on a Pattern only matrix"); + switch (arguments.length) { + case 1: + return p(this, v); + case 2: + case 3: + return u(this, v, N, b); + default: + throw new SyntaxError("Wrong number of arguments"); + } + }; + function p(v, N) { + if (!Va(N)) + throw new TypeError("Invalid index"); + var b = N.isScalar(); + if (b) + return v.get(N.min()); + var C = N.size(); + if (C.length !== v._size.length) + throw new xt(C.length, v._size.length); + var x, E, D, A, M = N.min(), _ = N.max(); + for (x = 0, E = v._size.length; x < E; x++) + Ht(M[x], v._size[x]), Ht(_[x], v._size[x]); + var O = v._values, T = v._index, I = v._ptr, q = N.dimension(0), $ = N.dimension(1), U = [], k = []; + q.forEach(function(P, W) { + k[P] = W[0], U[P] = !0; + }); + var L = O ? [] : void 0, R = [], G = []; + return $.forEach(function(P) { + for (G.push(R.length), D = I[P], A = I[P + 1]; D < A; D++) + x = T[D], U[x] === !0 && (R.push(k[x]), L && L.push(O[D])); + }), G.push(R.length), new a({ + values: L, + index: R, + ptr: G, + size: C, + datatype: v._datatype + }); + } + function u(v, N, b, C) { + if (!N || N.isIndex !== !0) + throw new TypeError("Invalid index"); + var x = N.size(), E = N.isScalar(), D; + if (tt(b) ? (D = b.size(), b = b.toArray()) : D = gt(b), E) { + if (D.length !== 0) + throw new TypeError("Scalar expected"); + v.set(N.min(), b, C); + } else { + if (x.length !== 1 && x.length !== 2) + throw new xt(x.length, v._size.length, "<"); + if (D.length < x.length) { + for (var A = 0, M = 0; x[A] === 1 && D[A] === 1; ) + A++; + for (; x[A] === 1; ) + M++, A++; + b = Q2(b, x.length, M, D); + } + if (!ia(x, D)) + throw new xt(x, D, ">"); + if (x.length === 1) { + var _ = N.dimension(0); + _.forEach(function(I, q) { + Ht(I), v.set([I, 0], b[q[0]], C); + }); + } else { + var O = N.dimension(0), T = N.dimension(1); + O.forEach(function(I, q) { + Ht(I), T.forEach(function($, U) { + Ht($), v.set([I, $], b[q[0]][U[0]], C); + }); + }); + } + } + return v; + } + a.prototype.get = function(v) { + if (!Rt(v)) + throw new TypeError("Array expected"); + if (v.length !== this._size.length) + throw new xt(v.length, this._size.length); + if (!this._values) + throw new Error("Cannot invoke get on a Pattern only matrix"); + var N = v[0], b = v[1]; + Ht(N, this._size[0]), Ht(b, this._size[1]); + var C = f(N, this._ptr[b], this._ptr[b + 1], this._index); + return C < this._ptr[b + 1] && this._index[C] === N ? this._values[C] : 0; + }, a.prototype.set = function(v, N, b) { + if (!Rt(v)) + throw new TypeError("Array expected"); + if (v.length !== this._size.length) + throw new xt(v.length, this._size.length); + if (!this._values) + throw new Error("Cannot invoke set on a Pattern only matrix"); + var C = v[0], x = v[1], E = this._size[0], D = this._size[1], A = r, M = 0; + Er(this._datatype) && (A = e.find(r, [this._datatype, this._datatype]) || r, M = e.convert(0, this._datatype)), (C > E - 1 || x > D - 1) && (h(this, Math.max(C + 1, E), Math.max(x + 1, D), b), E = this._size[0], D = this._size[1]), Ht(C, E), Ht(x, D); + var _ = f(C, this._ptr[x], this._ptr[x + 1], this._index); + return _ < this._ptr[x + 1] && this._index[_] === C ? A(N, M) ? l(_, x, this._values, this._index, this._ptr) : this._values[_] = N : A(N, M) || c(_, C, x, N, this._values, this._index, this._ptr), this; + }; + function f(v, N, b, C) { + if (b - N === 0) + return b; + for (var x = N; x < b; x++) + if (C[x] === v) + return x; + return N; + } + function l(v, N, b, C, x) { + b.splice(v, 1), C.splice(v, 1); + for (var E = N + 1; E < x.length; E++) + x[E]--; + } + function c(v, N, b, C, x, E, D) { + x.splice(v, 0, C), E.splice(v, 0, N); + for (var A = b + 1; A < D.length; A++) + D[A]++; + } + a.prototype.resize = function(v, N, b) { + if (!cn(v)) + throw new TypeError("Array or Matrix expected"); + var C = v.valueOf().map((E) => Array.isArray(E) && E.length === 1 ? E[0] : E); + if (C.length !== 2) + throw new Error("Only two dimensions matrix are supported"); + C.forEach(function(E) { + if (!ht(E) || !Xe(E) || E < 0) + throw new TypeError("Invalid size, must contain positive integers (size: " + Dt(C) + ")"); + }); + var x = b ? this.clone() : this; + return h(x, C[0], C[1], N); + }; + function h(v, N, b, C) { + var x = C || 0, E = r, D = 0; + Er(v._datatype) && (E = e.find(r, [v._datatype, v._datatype]) || r, D = e.convert(0, v._datatype), x = e.convert(x, v._datatype)); + var A = !E(x, D), M = v._size[0], _ = v._size[1], O, T, I; + if (b > _) { + for (T = _; T < b; T++) + if (v._ptr[T] = v._values.length, A) + for (O = 0; O < M; O++) + v._values.push(x), v._index.push(O); + v._ptr[b] = v._values.length; + } else b < _ && (v._ptr.splice(b + 1, _ - b), v._values.splice(v._ptr[b], v._values.length), v._index.splice(v._ptr[b], v._index.length)); + if (_ = b, N > M) { + if (A) { + var q = 0; + for (T = 0; T < _; T++) { + v._ptr[T] = v._ptr[T] + q, I = v._ptr[T + 1] + q; + var $ = 0; + for (O = M; O < N; O++, $++) + v._values.splice(I + $, 0, x), v._index.splice(I + $, 0, O), q++; + } + v._ptr[_] = v._values.length; + } + } else if (N < M) { + var U = 0; + for (T = 0; T < _; T++) { + v._ptr[T] = v._ptr[T] - U; + var k = v._ptr[T], L = v._ptr[T + 1] - U; + for (I = k; I < L; I++) + O = v._index[I], O > N - 1 && (v._values.splice(I, 1), v._index.splice(I, 1), U++); + } + v._ptr[T] = v._values.length; + } + return v._size[0] = N, v._size[1] = b, v; + } + a.prototype.reshape = function(v, N) { + if (!Rt(v)) + throw new TypeError("Array expected"); + if (v.length !== 2) + throw new Error("Sparse matrices can only be reshaped in two dimensions"); + v.forEach(function(P) { + if (!ht(P) || !Xe(P) || P <= -2 || P === 0) + throw new TypeError("Invalid size, must contain positive integers or -1 (size: " + Dt(v) + ")"); + }); + var b = this._size[0] * this._size[1]; + v = Sd(v, b); + var C = v[0] * v[1]; + if (b !== C) + throw new Error("Reshaping sparse matrix will result in the wrong number of elements"); + var x = N ? this.clone() : this; + if (this._size[0] === v[0] && this._size[1] === v[1]) + return x; + for (var E = [], D = 0; D < x._ptr.length; D++) + for (var A = 0; A < x._ptr[D + 1] - x._ptr[D]; A++) + E.push(D); + for (var M = x._values.slice(), _ = x._index.slice(), O = 0; O < x._index.length; O++) { + var T = _[O], I = E[O], q = T * x._size[1] + I; + E[O] = q % v[1], _[O] = Math.floor(q / v[1]); + } + x._values.length = 0, x._index.length = 0, x._ptr.length = v[1] + 1, x._size = v.slice(); + for (var $ = 0; $ < x._ptr.length; $++) + x._ptr[$] = 0; + for (var U = 0; U < M.length; U++) { + var k = _[U], L = E[U], R = M[U], G = f(k, x._ptr[L], x._ptr[L + 1], x._index); + c(G, k, L, R, x._values, x._index, x._ptr); + } + return x; + }, a.prototype.clone = function() { + var v = new a({ + values: this._values ? nt(this._values) : void 0, + index: nt(this._index), + ptr: nt(this._ptr), + size: nt(this._size), + datatype: this._datatype + }); + return v; + }, a.prototype.size = function() { + return this._size.slice(0); + }, a.prototype.map = function(v, N) { + if (!this._values) + throw new Error("Cannot invoke map on a Pattern only matrix"); + var b = this, C = this._size[0], x = this._size[1], E = J2(v), D = function(M, _, O) { + return E === 1 ? v(M) : E === 2 ? v(M, [_, O]) : v(M, [_, O], b); + }; + return d(this, 0, C - 1, 0, x - 1, D, N); + }; + function d(v, N, b, C, x, E, D) { + var A = [], M = [], _ = [], O = r, T = 0; + Er(v._datatype) && (O = e.find(r, [v._datatype, v._datatype]) || r, T = e.convert(0, v._datatype)); + for (var I = function(H, te, be) { + H = E(H, te, be), O(H, T) || (A.push(H), M.push(te)); + }, q = C; q <= x; q++) { + _.push(A.length); + var $ = v._ptr[q], U = v._ptr[q + 1]; + if (D) + for (var k = $; k < U; k++) { + var L = v._index[k]; + L >= N && L <= b && I(v._values[k], L - N, q - C); + } + else { + for (var R = {}, G = $; G < U; G++) { + var P = v._index[G]; + R[P] = v._values[G]; + } + for (var W = N; W <= b; W++) { + var le = W in R ? R[W] : 0; + I(le, W - N, q - C); + } + } + } + return _.push(A.length), new a({ + values: A, + index: M, + ptr: _, + size: [b - N + 1, x - C + 1] + }); + } + a.prototype.forEach = function(v, N) { + if (!this._values) + throw new Error("Cannot invoke forEach on a Pattern only matrix"); + for (var b = this, C = this._size[0], x = this._size[1], E = 0; E < x; E++) { + var D = this._ptr[E], A = this._ptr[E + 1]; + if (N) + for (var M = D; M < A; M++) { + var _ = this._index[M]; + v(this._values[M], [_, E], b); + } + else { + for (var O = {}, T = D; T < A; T++) { + var I = this._index[T]; + O[I] = this._values[T]; + } + for (var q = 0; q < C; q++) { + var $ = q in O ? O[q] : 0; + v($, [q, E], b); + } + } + } + }, a.prototype[Symbol.iterator] = function* () { + if (!this._values) + throw new Error("Cannot iterate a Pattern only matrix"); + for (var v = this._size[1], N = 0; N < v; N++) + for (var b = this._ptr[N], C = this._ptr[N + 1], x = b; x < C; x++) { + var E = this._index[x]; + yield { + value: this._values[x], + index: [E, N] + }; + } + }, a.prototype.toArray = function() { + return g(this._values, this._index, this._ptr, this._size, !0); + }, a.prototype.valueOf = function() { + return g(this._values, this._index, this._ptr, this._size, !1); + }; + function g(v, N, b, C, x) { + var E = C[0], D = C[1], A = [], M, _; + for (M = 0; M < E; M++) + for (A[M] = [], _ = 0; _ < D; _++) + A[M][_] = 0; + for (_ = 0; _ < D; _++) + for (var O = b[_], T = b[_ + 1], I = O; I < T; I++) + M = N[I], A[M][_] = v ? x ? nt(v[I]) : v[I] : 1; + return A; + } + return a.prototype.format = function(v) { + for (var N = this._size[0], b = this._size[1], C = this.density(), x = "Sparse Matrix [" + Dt(N, v) + " x " + Dt(b, v) + "] density: " + Dt(C, v) + ` +`, E = 0; E < b; E++) + for (var D = this._ptr[E], A = this._ptr[E + 1], M = D; M < A; M++) { + var _ = this._index[M]; + x += ` + (` + Dt(_, v) + ", " + Dt(E, v) + ") ==> " + (this._values ? Dt(this._values[M], v) : "X"); + } + return x; + }, a.prototype.toString = function() { + return Dt(this.toArray()); + }, a.prototype.toJSON = function() { + return { + mathjs: "SparseMatrix", + values: this._values, + index: this._index, + ptr: this._ptr, + size: this._size, + datatype: this._datatype + }; + }, a.prototype.diagonal = function(v) { + if (v) { + if (ct(v) && (v = v.toNumber()), !ht(v) || !Xe(v)) + throw new TypeError("The parameter k must be an integer number"); + } else + v = 0; + var N = v > 0 ? v : 0, b = v < 0 ? -v : 0, C = this._size[0], x = this._size[1], E = Math.min(C - b, x - N), D = [], A = [], M = []; + M[0] = 0; + for (var _ = N; _ < x && D.length < E; _++) + for (var O = this._ptr[_], T = this._ptr[_ + 1], I = O; I < T; I++) { + var q = this._index[I]; + if (q === _ - N + b) { + D.push(this._values[I]), A[D.length - 1] = q - b; + break; + } + } + return M.push(D.length), new a({ + values: D, + index: A, + ptr: M, + size: [E, 1] + }); + }, a.fromJSON = function(v) { + return new a(v); + }, a.diagonal = function(v, N, b, C, x) { + if (!Rt(v)) + throw new TypeError("Array expected, size parameter"); + if (v.length !== 2) + throw new Error("Only two dimensions matrix are supported"); + if (v = v.map(function(P) { + if (ct(P) && (P = P.toNumber()), !ht(P) || !Xe(P) || P < 1) + throw new Error("Size values must be positive integers"); + return P; + }), b) { + if (ct(b) && (b = b.toNumber()), !ht(b) || !Xe(b)) + throw new TypeError("The parameter k must be an integer number"); + } else + b = 0; + var E = r, D = 0; + Er(x) && (E = e.find(r, [x, x]) || r, D = e.convert(0, x)); + var A = b > 0 ? b : 0, M = b < 0 ? -b : 0, _ = v[0], O = v[1], T = Math.min(_ - M, O - A), I; + if (Rt(N)) { + if (N.length !== T) + throw new Error("Invalid value array length"); + I = function(W) { + return N[W]; + }; + } else if (tt(N)) { + var q = N.size(); + if (q.length !== 1 || q[0] !== T) + throw new Error("Invalid matrix length"); + I = function(W) { + return N.get([W]); + }; + } else + I = function() { + return N; + }; + for (var $ = [], U = [], k = [], L = 0; L < O; L++) { + k.push($.length); + var R = L - A; + if (R >= 0 && R < T) { + var G = I(R); + E(G, D) || (U.push(R + M), $.push(G)); + } + } + return k.push($.length), new a({ + values: $, + index: U, + ptr: k, + size: [_, O] + }); + }, a.prototype.swapRows = function(v, N) { + if (!ht(v) || !Xe(v) || !ht(N) || !Xe(N)) + throw new Error("Row index must be positive integers"); + if (this._size.length !== 2) + throw new Error("Only two dimensional matrix is supported"); + return Ht(v, this._size[0]), Ht(N, this._size[0]), a._swapRows(v, N, this._size[1], this._values, this._index, this._ptr), this; + }, a._forEachRow = function(v, N, b, C, x) { + for (var E = C[v], D = C[v + 1], A = E; A < D; A++) + x(b[A], N[A]); + }, a._swapRows = function(v, N, b, C, x, E) { + for (var D = 0; D < b; D++) { + var A = E[D], M = E[D + 1], _ = f(v, A, M, x), O = f(N, A, M, x); + if (_ < M && O < M && x[_] === v && x[O] === N) { + if (C) { + var T = C[_]; + C[_] = C[O], C[O] = T; + } + continue; + } + if (_ < M && x[_] === v && (O >= M || x[O] !== N)) { + var I = C ? C[_] : void 0; + x.splice(O, 0, N), C && C.splice(O, 0, I), x.splice(O <= _ ? _ + 1 : _, 1), C && C.splice(O <= _ ? _ + 1 : _, 1); + continue; + } + if (O < M && x[O] === N && (_ >= M || x[_] !== v)) { + var q = C ? C[O] : void 0; + x.splice(_, 0, v), C && C.splice(_, 0, q), x.splice(_ <= O ? O + 1 : O, 1), C && C.splice(_ <= O ? O + 1 : O, 1); + } + } + }, a; +}, { + isClass: !0 +}), c3 = "number", f3 = ["typed"]; +function p3(t) { + var e = t.match(/(0[box])([0-9a-fA-F]*)\.([0-9a-fA-F]*)/); + if (e) { + var r = { + "0b": 2, + "0o": 8, + "0x": 16 + }[e[1]], n = e[2], a = e[3]; + return { + input: t, + radix: r, + integerPart: n, + fractionalPart: a + }; + } else + return null; +} +function h3(t) { + for (var e = parseInt(t.integerPart, t.radix), r = 0, n = 0; n < t.fractionalPart.length; n++) { + var a = parseInt(t.fractionalPart[n], t.radix); + r += a / Math.pow(t.radix, n + 1); + } + var s = e + r; + if (isNaN(s)) + throw new SyntaxError('String "' + t.input + '" is not a valid number'); + return s; +} +var Xu = /* @__PURE__ */ j(c3, f3, (t) => { + var { + typed: e + } = t, r = e("number", { + "": function() { + return 0; + }, + number: function(a) { + return a; + }, + string: function(a) { + if (a === "NaN") return NaN; + var s = p3(a); + if (s) + return h3(s); + var o = 0, p = a.match(/(0[box][0-9a-fA-F]*)i([0-9]*)/); + p && (o = Number(p[2]), a = p[1]); + var u = Number(a); + if (isNaN(u)) + throw new SyntaxError('String "' + a + '" is not a valid number'); + if (p) { + if (u > 2 ** o - 1) + throw new SyntaxError('String "'.concat(a, '" is out of range')); + u >= 2 ** (o - 1) && (u = u - 2 ** o); + } + return u; + }, + BigNumber: function(a) { + return a.toNumber(); + }, + bigint: function(a) { + return Number(a); + }, + Fraction: function(a) { + return a.valueOf(); + }, + Unit: e.referToSelf((n) => (a) => { + var s = a.clone(); + return s.value = n(a.value), s; + }), + null: function(a) { + return 0; + }, + "Unit, string | Unit": function(a, s) { + return a.toNumber(s); + }, + "Array | Matrix": e.referToSelf((n) => (a) => Nt(a, n)) + }); + return r.fromJSON = function(n) { + return parseFloat(n.value); + }, r; +}), m3 = "bigint", d3 = ["typed"], Ku = /* @__PURE__ */ j(m3, d3, (t) => { + var { + typed: e + } = t, r = e("bigint", { + "": function() { + return 0n; + }, + bigint: function(a) { + return a; + }, + number: function(a) { + return BigInt(a.toFixed()); + }, + BigNumber: function(a) { + return BigInt(a.round().toString()); + }, + Fraction: function(a) { + return BigInt(a.valueOf().toFixed()); + }, + "string | boolean": function(a) { + return BigInt(a); + }, + null: function(a) { + return 0n; + }, + "Array | Matrix": e.referToSelf((n) => (a) => Nt(a, n)) + }); + return r.fromJSON = function(n) { + return BigInt(n.value); + }, r; +}), d1 = "string", v3 = ["typed"], e0 = /* @__PURE__ */ j(d1, v3, (t) => { + var { + typed: e + } = t; + return e(d1, { + "": function() { + return ""; + }, + number: na, + null: function(n) { + return "null"; + }, + boolean: function(n) { + return n + ""; + }, + string: function(n) { + return n; + }, + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)), + any: function(n) { + return String(n); + } + }); +}), v1 = "boolean", g3 = ["typed"], t0 = /* @__PURE__ */ j(v1, g3, (t) => { + var { + typed: e + } = t; + return e(v1, { + "": function() { + return !1; + }, + boolean: function(n) { + return n; + }, + number: function(n) { + return !!n; + }, + null: function(n) { + return !1; + }, + BigNumber: function(n) { + return !n.isZero(); + }, + string: function(n) { + var a = n.toLowerCase(); + if (a === "true") + return !0; + if (a === "false") + return !1; + var s = Number(n); + if (n !== "" && !isNaN(s)) + return !!s; + throw new Error('Cannot convert "' + n + '" to a boolean'); + }, + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + }); +}), y3 = "bignumber", x3 = ["typed", "BigNumber"], r0 = /* @__PURE__ */ j(y3, x3, (t) => { + var { + typed: e, + BigNumber: r + } = t; + return e("bignumber", { + "": function() { + return new r(0); + }, + number: function(a) { + return new r(a + ""); + }, + string: function(a) { + var s = a.match(/(0[box][0-9a-fA-F]*)i([0-9]*)/); + if (s) { + var o = s[2], p = r(s[1]), u = new r(2).pow(Number(o)); + if (p.gt(u.sub(1))) + throw new SyntaxError('String "'.concat(a, '" is out of range')); + var f = new r(2).pow(Number(o) - 1); + return p.gte(f) ? p.sub(u) : p; + } + return new r(a); + }, + BigNumber: function(a) { + return a; + }, + bigint: function(a) { + return new r(a.toString()); + }, + Unit: e.referToSelf((n) => (a) => { + var s = a.clone(); + return s.value = n(a.value), s; + }), + Fraction: function(a) { + return new r(a.n).div(a.d).times(a.s); + }, + null: function(a) { + return new r(0); + }, + "Array | Matrix": e.referToSelf((n) => (a) => Nt(a, n)) + }); +}), b3 = "complex", w3 = ["typed", "Complex"], n0 = /* @__PURE__ */ j(b3, w3, (t) => { + var { + typed: e, + Complex: r + } = t; + return e("complex", { + "": function() { + return r.ZERO; + }, + number: function(a) { + return new r(a, 0); + }, + "number, number": function(a, s) { + return new r(a, s); + }, + // TODO: this signature should be redundant + "BigNumber, BigNumber": function(a, s) { + return new r(a.toNumber(), s.toNumber()); + }, + Fraction: function(a) { + return new r(a.valueOf(), 0); + }, + Complex: function(a) { + return a.clone(); + }, + string: function(a) { + return r(a); + }, + null: function(a) { + return r(0); + }, + Object: function(a) { + if ("re" in a && "im" in a) + return new r(a.re, a.im); + if ("r" in a && "phi" in a || "abs" in a && "arg" in a) + return new r(a); + throw new Error("Expected object with properties (re and im) or (r and phi) or (abs and arg)"); + }, + "Array | Matrix": e.referToSelf((n) => (a) => Nt(a, n)) + }); +}), N3 = "fraction", D3 = ["typed", "Fraction"], i0 = /* @__PURE__ */ j(N3, D3, (t) => { + var { + typed: e, + Fraction: r + } = t; + return e("fraction", { + number: function(a) { + if (!isFinite(a) || isNaN(a)) + throw new Error(a + " cannot be represented as a fraction"); + return new r(a); + }, + string: function(a) { + return new r(a); + }, + "number, number": function(a, s) { + return new r(a, s); + }, + null: function(a) { + return new r(0); + }, + BigNumber: function(a) { + return new r(a.toString()); + }, + bigint: function(a) { + return new r(a.toString()); + }, + Fraction: function(a) { + return a; + }, + Unit: e.referToSelf((n) => (a) => { + var s = a.clone(); + return s.value = n(a.value), s; + }), + Object: function(a) { + return new r(a); + }, + "Array | Matrix": e.referToSelf((n) => (a) => Nt(a, n)) + }); +}), g1 = "matrix", A3 = ["typed", "Matrix", "DenseMatrix", "SparseMatrix"], a0 = /* @__PURE__ */ j(g1, A3, (t) => { + var { + typed: e, + Matrix: r, + DenseMatrix: n, + SparseMatrix: a + } = t; + return e(g1, { + "": function() { + return s([]); + }, + string: function(p) { + return s([], p); + }, + "string, string": function(p, u) { + return s([], p, u); + }, + Array: function(p) { + return s(p); + }, + Matrix: function(p) { + return s(p, p.storage()); + }, + "Array | Matrix, string": s, + "Array | Matrix, string, string": s + }); + function s(o, p, u) { + if (p === "dense" || p === "default" || p === void 0) + return new n(o, u); + if (p === "sparse") + return new a(o, u); + throw new TypeError("Unknown matrix type " + JSON.stringify(p) + "."); + } +}), y1 = "matrixFromFunction", E3 = ["typed", "matrix", "isZero"], s0 = /* @__PURE__ */ j(y1, E3, (t) => { + var { + typed: e, + matrix: r, + isZero: n + } = t; + return e(y1, { + "Array | Matrix, function, string, string": function(o, p, u, f) { + return a(o, p, u, f); + }, + "Array | Matrix, function, string": function(o, p, u) { + return a(o, p, u); + }, + "Matrix, function": function(o, p) { + return a(o, p, "dense"); + }, + "Array, function": function(o, p) { + return a(o, p, "dense").toArray(); + }, + "Array | Matrix, string, function": function(o, p, u) { + return a(o, u, p); + }, + "Array | Matrix, string, string, function": function(o, p, u, f) { + return a(o, f, p, u); + } + }); + function a(s, o, p, u) { + var f; + return u !== void 0 ? f = r(p, u) : f = r(p), f.resize(s), f.forEach(function(l, c) { + var h = o(c); + n(h) || f.set(c, h); + }), f; + } +}), x1 = "matrixFromRows", S3 = ["typed", "matrix", "flatten", "size"], o0 = /* @__PURE__ */ j(x1, S3, (t) => { + var { + typed: e, + matrix: r, + flatten: n, + size: a + } = t; + return e(x1, { + "...Array": function(u) { + return s(u); + }, + "...Matrix": function(u) { + return r(s(u.map((f) => f.toArray()))); + } + // TODO implement this properly for SparseMatrix + }); + function s(p) { + if (p.length === 0) throw new TypeError("At least one row is needed to construct a matrix."); + var u = o(p[0]), f = []; + for (var l of p) { + var c = o(l); + if (c !== u) + throw new TypeError("The vectors had different length: " + (u | 0) + " ≠ " + (c | 0)); + f.push(n(l)); + } + return f; + } + function o(p) { + var u = a(p); + if (u.length === 1) + return u[0]; + if (u.length === 2) { + if (u[0] === 1) + return u[1]; + if (u[1] === 1) + return u[0]; + throw new TypeError("At least one of the arguments is not a vector."); + } else + throw new TypeError("Only one- or two-dimensional vectors are supported."); + } +}), b1 = "matrixFromColumns", C3 = ["typed", "matrix", "flatten", "size"], u0 = /* @__PURE__ */ j(b1, C3, (t) => { + var { + typed: e, + matrix: r, + flatten: n, + size: a + } = t; + return e(b1, { + "...Array": function(u) { + return s(u); + }, + "...Matrix": function(u) { + return r(s(u.map((f) => f.toArray()))); + } + // TODO implement this properly for SparseMatrix + }); + function s(p) { + if (p.length === 0) throw new TypeError("At least one column is needed to construct a matrix."); + for (var u = o(p[0]), f = [], l = 0; l < u; l++) + f[l] = []; + for (var c of p) { + var h = o(c); + if (h !== u) + throw new TypeError("The vectors had different length: " + (u | 0) + " ≠ " + (h | 0)); + for (var d = n(c), g = 0; g < u; g++) + f[g].push(d[g]); + } + return f; + } + function o(p) { + var u = a(p); + if (u.length === 1) + return u[0]; + if (u.length === 2) { + if (u[0] === 1) + return u[1]; + if (u[1] === 1) + return u[0]; + throw new TypeError("At least one of the arguments is not a vector."); + } else + throw new TypeError("Only one- or two-dimensional vectors are supported."); + } +}), w1 = "splitUnit", T3 = ["typed"], l0 = /* @__PURE__ */ j(w1, T3, (t) => { + var { + typed: e + } = t; + return e(w1, { + "Unit, Array": function(n, a) { + return n.splitUnit(a); + } + }); +}), N1 = "unaryMinus", _3 = ["typed"], c0 = /* @__PURE__ */ j(N1, _3, (t) => { + var { + typed: e + } = t; + return e(N1, { + number: rw, + "Complex | BigNumber | Fraction": (r) => r.neg(), + bigint: (r) => -r, + Unit: e.referToSelf((r) => (n) => { + var a = n.clone(); + return a.value = e.find(r, a.valueType())(n.value), a; + }), + // deep map collection, skip zeros since unaryMinus(0) = 0 + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + // TODO: add support for string + }); +}), D1 = "unaryPlus", M3 = ["typed", "config", "numeric"], f0 = /* @__PURE__ */ j(D1, M3, (t) => { + var { + typed: e, + config: r, + numeric: n + } = t; + return e(D1, { + number: nw, + Complex: function(s) { + return s; + }, + BigNumber: function(s) { + return s; + }, + bigint: function(s) { + return s; + }, + Fraction: function(s) { + return s; + }, + Unit: function(s) { + return s.clone(); + }, + // deep map collection, skip zeros since unaryPlus(0) = 0 + "Array | Matrix": e.referToSelf((a) => (s) => Nt(s, a)), + boolean: function(s) { + return n(s ? 1 : 0, r.number); + }, + string: function(s) { + return n(s, Ii(s, r)); + } + }); +}), A1 = "abs", O3 = ["typed"], p0 = /* @__PURE__ */ j(A1, O3, (t) => { + var { + typed: e + } = t; + return e(A1, { + number: X2, + "Complex | BigNumber | Fraction | Unit": (r) => r.abs(), + bigint: (r) => r < 0n ? -r : r, + // deep map collection, skip zeros since abs(0) = 0 + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + }); +}), E1 = "apply", F3 = ["typed", "isInteger"], Ka = /* @__PURE__ */ j(E1, F3, (t) => { + var { + typed: e, + isInteger: r + } = t; + return e(E1, { + "Array | Matrix, number | BigNumber, function": function(a, s, o) { + if (!r(s)) + throw new TypeError("Integer number expected for dimension"); + var p = Array.isArray(a) ? gt(a) : a.size(); + if (s < 0 || s >= p.length) + throw new yn(s, p.length); + return tt(a) ? a.create(fu(a.valueOf(), s, o)) : fu(a, s, o); + } + }); +}); +function fu(t, e, r) { + var n, a, s; + if (e <= 0) + if (Array.isArray(t[0])) { + for (s = q3(t), a = [], n = 0; n < s.length; n++) + a[n] = fu(s[n], e - 1, r); + return a; + } else + return r(t); + else { + for (a = [], n = 0; n < t.length; n++) + a[n] = fu(t[n], e - 1, r); + return a; + } +} +function q3(t) { + var e = t.length, r = t[0].length, n, a, s = []; + for (a = 0; a < r; a++) { + var o = []; + for (n = 0; n < e; n++) + o.push(t[n][a]); + s.push(o); + } + return s; +} +var S1 = "addScalar", I3 = ["typed"], h0 = /* @__PURE__ */ j(S1, I3, (t) => { + var { + typed: e + } = t; + return e(S1, { + "number, number": K2, + "Complex, Complex": function(n, a) { + return n.add(a); + }, + "BigNumber, BigNumber": function(n, a) { + return n.plus(a); + }, + "bigint, bigint": function(n, a) { + return n + a; + }, + "Fraction, Fraction": function(n, a) { + return n.add(a); + }, + "Unit, Unit": e.referToSelf((r) => (n, a) => { + if (n.value === null || n.value === void 0) + throw new Error("Parameter x contains a unit with undefined value"); + if (a.value === null || a.value === void 0) + throw new Error("Parameter y contains a unit with undefined value"); + if (!n.equalBase(a)) throw new Error("Units do not match"); + var s = n.clone(); + return s.value = e.find(r, [s.valueType(), a.valueType()])(s.value, a.value), s.fixPrefix = !1, s; + }) + }); +}), C1 = "subtractScalar", B3 = ["typed"], m0 = /* @__PURE__ */ j(C1, B3, (t) => { + var { + typed: e + } = t; + return e(C1, { + "number, number": ew, + "Complex, Complex": function(n, a) { + return n.sub(a); + }, + "BigNumber, BigNumber": function(n, a) { + return n.minus(a); + }, + "bigint, bigint": function(n, a) { + return n - a; + }, + "Fraction, Fraction": function(n, a) { + return n.sub(a); + }, + "Unit, Unit": e.referToSelf((r) => (n, a) => { + if (n.value === null || n.value === void 0) + throw new Error("Parameter x contains a unit with undefined value"); + if (a.value === null || a.value === void 0) + throw new Error("Parameter y contains a unit with undefined value"); + if (!n.equalBase(a)) throw new Error("Units do not match"); + var s = n.clone(); + return s.value = e.find(r, [s.valueType(), a.valueType()])(s.value, a.value), s.fixPrefix = !1, s; + }) + }); +}), T1 = "cbrt", R3 = ["config", "typed", "isNegative", "unaryMinus", "matrix", "Complex", "BigNumber", "Fraction"], d0 = /* @__PURE__ */ j(T1, R3, (t) => { + var { + config: e, + typed: r, + isNegative: n, + unaryMinus: a, + matrix: s, + Complex: o, + BigNumber: p, + Fraction: u + } = t; + return r(T1, { + number: Cs, + // note: signature 'number, boolean' is also supported, + // created by typed as it knows how to convert number to Complex + Complex: f, + "Complex, boolean": f, + BigNumber: function(h) { + return h.cbrt(); + }, + Unit: l + }); + function f(c, h) { + var d = c.arg() / 3, g = c.abs(), v = new o(Cs(g), 0).mul(new o(0, d).exp()); + if (h) { + var N = [v, new o(Cs(g), 0).mul(new o(0, d + Math.PI * 2 / 3).exp()), new o(Cs(g), 0).mul(new o(0, d - Math.PI * 2 / 3).exp())]; + return e.matrix === "Array" ? N : s(N); + } else + return v; + } + function l(c) { + if (c.value && Mn(c.value)) { + var h = c.clone(); + return h.value = 1, h = h.pow(1 / 3), h.value = f(c.value), h; + } else { + var d = n(c.value); + d && (c.value = a(c.value)); + var g; + ct(c.value) ? g = new p(1).div(3) : Fi(c.value) ? g = new u(1, 3) : g = 1 / 3; + var v = c.pow(g); + return d && (v.value = a(v.value)), v; + } + } +}), L3 = "matAlgo11xS0s", P3 = ["typed", "equalScalar"], Pr = /* @__PURE__ */ j(L3, P3, (t) => { + var { + typed: e, + equalScalar: r + } = t; + return function(a, s, o, p) { + var u = a._values, f = a._index, l = a._ptr, c = a._size, h = a._datatype; + if (!u) + throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value"); + var d = c[0], g = c[1], v, N = r, b = 0, C = o; + typeof h == "string" && (v = h, N = e.find(r, [v, v]), b = e.convert(0, v), s = e.convert(s, v), C = e.find(o, [v, v])); + for (var x = [], E = [], D = [], A = 0; A < g; A++) { + D[A] = E.length; + for (var M = l[A], _ = l[A + 1], O = M; O < _; O++) { + var T = f[O], I = p ? C(s, u[O]) : C(u[O], s); + N(I, b) || (E.push(T), x.push(I)); + } + } + return D[g] = E.length, a.createSparseMatrix({ + values: x, + index: E, + ptr: D, + size: [d, g], + datatype: v + }); + }; +}), k3 = "matAlgo12xSfs", $3 = ["typed", "DenseMatrix"], br = /* @__PURE__ */ j(k3, $3, (t) => { + var { + typed: e, + DenseMatrix: r + } = t; + return function(a, s, o, p) { + var u = a._values, f = a._index, l = a._ptr, c = a._size, h = a._datatype; + if (!u) + throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value"); + var d = c[0], g = c[1], v, N = o; + typeof h == "string" && (v = h, s = e.convert(s, v), N = e.find(o, [v, v])); + for (var b = [], C = [], x = [], E = 0; E < g; E++) { + for (var D = E + 1, A = l[E], M = l[E + 1], _ = A; _ < M; _++) { + var O = f[_]; + C[O] = u[_], x[O] = D; + } + for (var T = 0; T < d; T++) + E === 0 && (b[T] = []), x[T] === D ? b[T][E] = p ? N(s, C[T]) : N(C[T], s) : b[T][E] = p ? N(s, 0) : N(0, s); + } + return new r({ + data: b, + size: [d, g], + datatype: v + }); + }; +}), z3 = "matAlgo14xDs", U3 = ["typed"], zn = /* @__PURE__ */ j(z3, U3, (t) => { + var { + typed: e + } = t; + return function(a, s, o, p) { + var u = a._data, f = a._size, l = a._datatype, c, h = o; + typeof l == "string" && (c = l, s = e.convert(s, c), h = e.find(o, [c, c])); + var d = f.length > 0 ? r(h, 0, f, f[0], u, s, p) : []; + return a.createDenseMatrix({ + data: d, + size: nt(f), + datatype: c + }); + }; + function r(n, a, s, o, p, u, f) { + var l = []; + if (a === s.length - 1) + for (var c = 0; c < o; c++) + l[c] = f ? n(u, p[c]) : n(p[c], u); + else + for (var h = 0; h < o; h++) + l[h] = r(n, a + 1, s, s[a + 1], p[h], u, f); + return l; + } +}), td = "ceil", G3 = ["typed", "config", "round", "matrix", "equalScalar", "zeros", "DenseMatrix"], H3 = /* @__PURE__ */ j(td, ["typed", "config", "round"], (t) => { + var { + typed: e, + config: r, + round: n + } = t; + return e(td, { + number: function(s) { + return Lr(s, n(s), r.relTol, r.absTol) ? n(s) : Math.ceil(s); + }, + "number, number": function(s, o) { + if (Lr(s, n(s, o), r.relTol, r.absTol)) + return n(s, o); + var [p, u] = "".concat(s, "e").split("e"), f = Math.ceil(Number("".concat(p, "e").concat(Number(u) + o))); + return [p, u] = "".concat(f, "e").split("e"), Number("".concat(p, "e").concat(Number(u) - o)); + } + }); +}), v0 = /* @__PURE__ */ j(td, G3, (t) => { + var { + typed: e, + config: r, + round: n, + matrix: a, + equalScalar: s, + zeros: o, + DenseMatrix: p + } = t, u = Pr({ + typed: e, + equalScalar: s + }), f = br({ + typed: e, + DenseMatrix: p + }), l = zn({ + typed: e + }), c = H3({ + typed: e, + config: r, + round: n + }); + return e("ceil", { + number: c.signatures.number, + "number,number": c.signatures["number,number"], + Complex: function(d) { + return d.ceil(); + }, + "Complex, number": function(d, g) { + return d.ceil(g); + }, + "Complex, BigNumber": function(d, g) { + return d.ceil(g.toNumber()); + }, + BigNumber: function(d) { + return pn(d, n(d), r.relTol, r.absTol) ? n(d) : d.ceil(); + }, + "BigNumber, BigNumber": function(d, g) { + return pn(d, n(d, g), r.relTol, r.absTol) ? n(d, g) : d.toDecimalPlaces(g.toNumber(), Mi.ROUND_CEIL); + }, + Fraction: function(d) { + return d.ceil(); + }, + "Fraction, number": function(d, g) { + return d.ceil(g); + }, + "Fraction, BigNumber": function(d, g) { + return d.ceil(g.toNumber()); + }, + "Array | Matrix": e.referToSelf((h) => (d) => Nt(d, h)), + "Array, number | BigNumber": e.referToSelf((h) => (d, g) => Nt(d, (v) => h(v, g))), + "SparseMatrix, number | BigNumber": e.referToSelf((h) => (d, g) => u(d, g, h, !1)), + "DenseMatrix, number | BigNumber": e.referToSelf((h) => (d, g) => l(d, g, h, !1)), + "number | Complex | Fraction | BigNumber, Array": e.referToSelf((h) => (d, g) => l(a(g), d, h, !0).valueOf()), + "number | Complex | Fraction | BigNumber, Matrix": e.referToSelf((h) => (d, g) => s(d, 0) ? o(g.size(), g.storage()) : g.storage() === "dense" ? l(g, d, h, !0) : f(g, d, h, !0)) + }); +}), _1 = "cube", Q3 = ["typed"], g0 = /* @__PURE__ */ j(_1, Q3, (t) => { + var { + typed: e + } = t; + return e(_1, { + number: iw, + Complex: function(n) { + return n.mul(n).mul(n); + }, + BigNumber: function(n) { + return n.times(n).times(n); + }, + bigint: function(n) { + return n * n * n; + }, + Fraction: function(n) { + return n.pow(3); + }, + Unit: function(n) { + return n.pow(3); + } + }); +}), M1 = "exp", V3 = ["typed"], y0 = /* @__PURE__ */ j(M1, V3, (t) => { + var { + typed: e + } = t; + return e(M1, { + number: aw, + Complex: function(n) { + return n.exp(); + }, + BigNumber: function(n) { + return n.exp(); + } + }); +}), O1 = "expm1", W3 = ["typed", "Complex"], x0 = /* @__PURE__ */ j(O1, W3, (t) => { + var { + typed: e, + Complex: r + } = t; + return e(O1, { + number: sw, + Complex: function(a) { + var s = Math.exp(a.re); + return new r(s * Math.cos(a.im) - 1, s * Math.sin(a.im)); + }, + BigNumber: function(a) { + return a.exp().minus(1); + } + }); +}), rd = "fix", j3 = ["typed", "Complex", "matrix", "ceil", "floor", "equalScalar", "zeros", "DenseMatrix"], Z3 = /* @__PURE__ */ j(rd, ["typed", "ceil", "floor"], (t) => { + var { + typed: e, + ceil: r, + floor: n + } = t; + return e(rd, { + number: function(s) { + return s > 0 ? n(s) : r(s); + }, + "number, number": function(s, o) { + return s > 0 ? n(s, o) : r(s, o); + } + }); +}), b0 = /* @__PURE__ */ j(rd, j3, (t) => { + var { + typed: e, + Complex: r, + matrix: n, + ceil: a, + floor: s, + equalScalar: o, + zeros: p, + DenseMatrix: u + } = t, f = br({ + typed: e, + DenseMatrix: u + }), l = zn({ + typed: e + }), c = Z3({ + typed: e, + ceil: a, + floor: s + }); + return e("fix", { + number: c.signatures.number, + "number, number | BigNumber": c.signatures["number,number"], + Complex: function(d) { + return new r(d.re > 0 ? Math.floor(d.re) : Math.ceil(d.re), d.im > 0 ? Math.floor(d.im) : Math.ceil(d.im)); + }, + "Complex, number": function(d, g) { + return new r(d.re > 0 ? s(d.re, g) : a(d.re, g), d.im > 0 ? s(d.im, g) : a(d.im, g)); + }, + "Complex, BigNumber": function(d, g) { + var v = g.toNumber(); + return new r(d.re > 0 ? s(d.re, v) : a(d.re, v), d.im > 0 ? s(d.im, v) : a(d.im, v)); + }, + BigNumber: function(d) { + return d.isNegative() ? a(d) : s(d); + }, + "BigNumber, number | BigNumber": function(d, g) { + return d.isNegative() ? a(d, g) : s(d, g); + }, + Fraction: function(d) { + return d.s < 0 ? d.ceil() : d.floor(); + }, + "Fraction, number | BigNumber": function(d, g) { + return d.s < 0 ? a(d, g) : s(d, g); + }, + "Array | Matrix": e.referToSelf((h) => (d) => Nt(d, h)), + "Array | Matrix, number | BigNumber": e.referToSelf((h) => (d, g) => Nt(d, (v) => h(v, g))), + "number | Complex | Fraction | BigNumber, Array": e.referToSelf((h) => (d, g) => l(n(g), d, h, !0).valueOf()), + "number | Complex | Fraction | BigNumber, Matrix": e.referToSelf((h) => (d, g) => o(d, 0) ? p(g.size(), g.storage()) : g.storage() === "dense" ? l(g, d, h, !0) : f(g, d, h, !0)) + }); +}), nd = "floor", J3 = ["typed", "config", "round", "matrix", "equalScalar", "zeros", "DenseMatrix"], Y3 = /* @__PURE__ */ j(nd, ["typed", "config", "round"], (t) => { + var { + typed: e, + config: r, + round: n + } = t; + return e(nd, { + number: function(s) { + return Lr(s, n(s), r.relTol, r.absTol) ? n(s) : Math.floor(s); + }, + "number, number": function(s, o) { + if (Lr(s, n(s, o), r.relTol, r.absTol)) + return n(s, o); + var [p, u] = "".concat(s, "e").split("e"), f = Math.floor(Number("".concat(p, "e").concat(Number(u) + o))); + return [p, u] = "".concat(f, "e").split("e"), Number("".concat(p, "e").concat(Number(u) - o)); + } + }); +}), Gs = /* @__PURE__ */ j(nd, J3, (t) => { + var { + typed: e, + config: r, + round: n, + matrix: a, + equalScalar: s, + zeros: o, + DenseMatrix: p + } = t, u = Pr({ + typed: e, + equalScalar: s + }), f = br({ + typed: e, + DenseMatrix: p + }), l = zn({ + typed: e + }), c = Y3({ + typed: e, + config: r, + round: n + }); + return e("floor", { + number: c.signatures.number, + "number,number": c.signatures["number,number"], + Complex: function(d) { + return d.floor(); + }, + "Complex, number": function(d, g) { + return d.floor(g); + }, + "Complex, BigNumber": function(d, g) { + return d.floor(g.toNumber()); + }, + BigNumber: function(d) { + return pn(d, n(d), r.relTol, r.absTol) ? n(d) : d.floor(); + }, + "BigNumber, BigNumber": function(d, g) { + return pn(d, n(d, g), r.relTol, r.absTol) ? n(d, g) : d.toDecimalPlaces(g.toNumber(), Mi.ROUND_FLOOR); + }, + Fraction: function(d) { + return d.floor(); + }, + "Fraction, number": function(d, g) { + return d.floor(g); + }, + "Fraction, BigNumber": function(d, g) { + return d.floor(g.toNumber()); + }, + "Array | Matrix": e.referToSelf((h) => (d) => Nt(d, h)), + "Array, number | BigNumber": e.referToSelf((h) => (d, g) => Nt(d, (v) => h(v, g))), + "SparseMatrix, number | BigNumber": e.referToSelf((h) => (d, g) => u(d, g, h, !1)), + "DenseMatrix, number | BigNumber": e.referToSelf((h) => (d, g) => l(d, g, h, !1)), + "number | Complex | Fraction | BigNumber, Array": e.referToSelf((h) => (d, g) => l(a(g), d, h, !0).valueOf()), + "number | Complex | Fraction | BigNumber, Matrix": e.referToSelf((h) => (d, g) => s(d, 0) ? o(g.size(), g.storage()) : g.storage() === "dense" ? l(g, d, h, !0) : f(g, d, h, !0)) + }); +}), X3 = "matAlgo02xDS0", K3 = ["typed", "equalScalar"], Un = /* @__PURE__ */ j(X3, K3, (t) => { + var { + typed: e, + equalScalar: r + } = t; + return function(a, s, o, p) { + var u = a._data, f = a._size, l = a._datatype || a.getDataType(), c = s._values, h = s._index, d = s._ptr, g = s._size, v = s._datatype || s._data === void 0 ? s._datatype : s.getDataType(); + if (f.length !== g.length) + throw new xt(f.length, g.length); + if (f[0] !== g[0] || f[1] !== g[1]) + throw new RangeError("Dimension mismatch. Matrix A (" + f + ") must match Matrix B (" + g + ")"); + if (!c) + throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix"); + var N = f[0], b = f[1], C, x = r, E = 0, D = o; + typeof l == "string" && l === v && l !== "mixed" && (C = l, x = e.find(r, [C, C]), E = e.convert(0, C), D = e.find(o, [C, C])); + for (var A = [], M = [], _ = [], O = 0; O < b; O++) { + _[O] = M.length; + for (var T = d[O], I = d[O + 1], q = T; q < I; q++) { + var $ = h[q], U = p ? D(c[q], u[$][O]) : D(u[$][O], c[q]); + x(U, E) || (M.push($), A.push(U)); + } + } + return _[b] = M.length, s.createSparseMatrix({ + values: A, + index: M, + ptr: _, + size: [N, b], + datatype: l === a._datatype && v === s._datatype ? C : void 0 + }); + }; +}), e_ = "matAlgo03xDSf", t_ = ["typed"], rn = /* @__PURE__ */ j(e_, t_, (t) => { + var { + typed: e + } = t; + return function(n, a, s, o) { + var p = n._data, u = n._size, f = n._datatype || n.getDataType(), l = a._values, c = a._index, h = a._ptr, d = a._size, g = a._datatype || a._data === void 0 ? a._datatype : a.getDataType(); + if (u.length !== d.length) + throw new xt(u.length, d.length); + if (u[0] !== d[0] || u[1] !== d[1]) + throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + d + ")"); + if (!l) + throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix"); + var v = u[0], N = u[1], b, C = 0, x = s; + typeof f == "string" && f === g && f !== "mixed" && (b = f, C = e.convert(0, b), x = e.find(s, [b, b])); + for (var E = [], D = 0; D < v; D++) + E[D] = []; + for (var A = [], M = [], _ = 0; _ < N; _++) { + for (var O = _ + 1, T = h[_], I = h[_ + 1], q = T; q < I; q++) { + var $ = c[q]; + A[$] = o ? x(l[q], p[$][_]) : x(p[$][_], l[q]), M[$] = O; + } + for (var U = 0; U < v; U++) + M[U] === O ? E[U][_] = A[U] : E[U][_] = o ? x(C, p[U][_]) : x(p[U][_], C); + } + return n.createDenseMatrix({ + data: E, + size: [v, N], + datatype: f === n._datatype && g === a._datatype ? b : void 0 + }); + }; +}), r_ = "matAlgo05xSfSf", n_ = ["typed", "equalScalar"], w0 = /* @__PURE__ */ j(r_, n_, (t) => { + var { + typed: e, + equalScalar: r + } = t; + return function(a, s, o) { + var p = a._values, u = a._index, f = a._ptr, l = a._size, c = a._datatype || a._data === void 0 ? a._datatype : a.getDataType(), h = s._values, d = s._index, g = s._ptr, v = s._size, N = s._datatype || s._data === void 0 ? s._datatype : s.getDataType(); + if (l.length !== v.length) + throw new xt(l.length, v.length); + if (l[0] !== v[0] || l[1] !== v[1]) + throw new RangeError("Dimension mismatch. Matrix A (" + l + ") must match Matrix B (" + v + ")"); + var b = l[0], C = l[1], x, E = r, D = 0, A = o; + typeof c == "string" && c === N && c !== "mixed" && (x = c, E = e.find(r, [x, x]), D = e.convert(0, x), A = e.find(o, [x, x])); + var M = p && h ? [] : void 0, _ = [], O = [], T = M ? [] : void 0, I = M ? [] : void 0, q = [], $ = [], U, k, L, R; + for (k = 0; k < C; k++) { + O[k] = _.length; + var G = k + 1; + for (L = f[k], R = f[k + 1]; L < R; L++) + U = u[L], _.push(U), q[U] = G, T && (T[U] = p[L]); + for (L = g[k], R = g[k + 1]; L < R; L++) + U = d[L], q[U] !== G && _.push(U), $[U] = G, I && (I[U] = h[L]); + if (M) + for (L = O[k]; L < _.length; ) { + U = _[L]; + var P = q[U], W = $[U]; + if (P === G || W === G) { + var le = P === G ? T[U] : D, Z = W === G ? I[U] : D, H = A(le, Z); + E(H, D) ? _.splice(L, 1) : (M.push(H), L++); + } + } + } + return O[C] = _.length, a.createSparseMatrix({ + values: M, + index: _, + ptr: O, + size: [b, C], + datatype: c === a._datatype && N === s._datatype ? x : void 0 + }); + }; +}), i_ = "matAlgo13xDD", a_ = ["typed"], s_ = /* @__PURE__ */ j(i_, a_, (t) => { + var { + typed: e + } = t; + return function(a, s, o) { + var p = a._data, u = a._size, f = a._datatype, l = s._data, c = s._size, h = s._datatype, d = []; + if (u.length !== c.length) + throw new xt(u.length, c.length); + for (var g = 0; g < u.length; g++) { + if (u[g] !== c[g]) + throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + c + ")"); + d[g] = u[g]; + } + var v, N = o; + typeof f == "string" && f === h && (v = f, N = e.find(o, [v, v])); + var b = d.length > 0 ? r(N, 0, d, d[0], p, l) : []; + return a.createDenseMatrix({ + data: b, + size: d, + datatype: v + }); + }; + function r(n, a, s, o, p, u) { + var f = []; + if (a === s.length - 1) + for (var l = 0; l < o; l++) + f[l] = n(p[l], u[l]); + else + for (var c = 0; c < o; c++) + f[c] = r(n, a + 1, s, s[a + 1], p[c], u[c]); + return f; + } +}), o_ = "broadcast", u_ = ["concat"], l_ = /* @__PURE__ */ j(o_, u_, (t) => { + var { + concat: e + } = t; + return function(a, s) { + var o = Math.max(a._size.length, s._size.length); + if (a._size.length === s._size.length && a._size.every((g, v) => g === s._size[v])) + return [a, s]; + for (var p = r(a._size, o, 0), u = r(s._size, o, 0), f = [], l = 0; l < o; l++) + f[l] = Math.max(p[l], u[l]); + su(p, f), su(u, f); + var c = a.clone(), h = s.clone(); + c._size.length < o ? c.reshape(r(c._size, o, 1)) : h._size.length < o && h.reshape(r(h._size, o, 1)); + for (var d = 0; d < o; d++) + c._size[d] < f[d] && (c = n(c, f[d], d)), h._size[d] < f[d] && (h = n(h, f[d], d)); + return [c, h]; + }; + function r(a, s, o) { + return [...Array(s - a.length).fill(o), ...a]; + } + function n(a, s, o) { + return e(...Array(s).fill(a), o); + } +}), c_ = "matrixAlgorithmSuite", f_ = ["typed", "matrix", "concat"], Jt = /* @__PURE__ */ j(c_, f_, (t) => { + var { + typed: e, + matrix: r, + concat: n + } = t, a = s_({ + typed: e + }), s = zn({ + typed: e + }), o = l_({ + concat: n + }); + return function(u) { + var f = u.elop, l = u.SD || u.DS, c; + f ? (c = { + "DenseMatrix, DenseMatrix": (v, N) => a(...o(v, N), f), + "Array, Array": (v, N) => a(...o(r(v), r(N)), f).valueOf(), + "Array, DenseMatrix": (v, N) => a(...o(r(v), N), f), + "DenseMatrix, Array": (v, N) => a(...o(v, r(N)), f) + }, u.SS && (c["SparseMatrix, SparseMatrix"] = (v, N) => u.SS(...o(v, N), f, !1)), u.DS && (c["DenseMatrix, SparseMatrix"] = (v, N) => u.DS(...o(v, N), f, !1), c["Array, SparseMatrix"] = (v, N) => u.DS(...o(r(v), N), f, !1)), l && (c["SparseMatrix, DenseMatrix"] = (v, N) => l(...o(N, v), f, !0), c["SparseMatrix, Array"] = (v, N) => l(...o(r(N), v), f, !0))) : (c = { + "DenseMatrix, DenseMatrix": e.referToSelf((v) => (N, b) => a(...o(N, b), v)), + "Array, Array": e.referToSelf((v) => (N, b) => a(...o(r(N), r(b)), v).valueOf()), + "Array, DenseMatrix": e.referToSelf((v) => (N, b) => a(...o(r(N), b), v)), + "DenseMatrix, Array": e.referToSelf((v) => (N, b) => a(...o(N, r(b)), v)) + }, u.SS && (c["SparseMatrix, SparseMatrix"] = e.referToSelf((v) => (N, b) => u.SS(...o(N, b), v, !1))), u.DS && (c["DenseMatrix, SparseMatrix"] = e.referToSelf((v) => (N, b) => u.DS(...o(N, b), v, !1)), c["Array, SparseMatrix"] = e.referToSelf((v) => (N, b) => u.DS(...o(r(N), b), v, !1))), l && (c["SparseMatrix, DenseMatrix"] = e.referToSelf((v) => (N, b) => l(...o(b, N), v, !0)), c["SparseMatrix, Array"] = e.referToSelf((v) => (N, b) => l(...o(r(b), N), v, !0)))); + var h = u.scalar || "any", d = u.Ds || u.Ss; + d && (f ? (c["DenseMatrix," + h] = (v, N) => s(v, N, f, !1), c[h + ", DenseMatrix"] = (v, N) => s(N, v, f, !0), c["Array," + h] = (v, N) => s(r(v), N, f, !1).valueOf(), c[h + ", Array"] = (v, N) => s(r(N), v, f, !0).valueOf()) : (c["DenseMatrix," + h] = e.referToSelf((v) => (N, b) => s(N, b, v, !1)), c[h + ", DenseMatrix"] = e.referToSelf((v) => (N, b) => s(b, N, v, !0)), c["Array," + h] = e.referToSelf((v) => (N, b) => s(r(N), b, v, !1).valueOf()), c[h + ", Array"] = e.referToSelf((v) => (N, b) => s(r(b), N, v, !0).valueOf()))); + var g = u.sS !== void 0 ? u.sS : u.Ss; + return f ? (u.Ss && (c["SparseMatrix," + h] = (v, N) => u.Ss(v, N, f, !1)), g && (c[h + ", SparseMatrix"] = (v, N) => g(N, v, f, !0))) : (u.Ss && (c["SparseMatrix," + h] = e.referToSelf((v) => (N, b) => u.Ss(N, b, v, !1))), g && (c[h + ", SparseMatrix"] = e.referToSelf((v) => (N, b) => g(b, N, v, !0)))), f && f.signatures && d2(c, f.signatures), c; + }; +}), F1 = "mod", p_ = ["typed", "config", "round", "matrix", "equalScalar", "zeros", "DenseMatrix", "concat"], Hs = /* @__PURE__ */ j(F1, p_, (t) => { + var { + typed: e, + config: r, + round: n, + matrix: a, + equalScalar: s, + zeros: o, + DenseMatrix: p, + concat: u + } = t, f = Gs({ + typed: e, + config: r, + round: n, + matrix: a, + equalScalar: s, + zeros: o, + DenseMatrix: p + }), l = Un({ + typed: e, + equalScalar: s + }), c = rn({ + typed: e + }), h = w0({ + typed: e, + equalScalar: s + }), d = Pr({ + typed: e, + equalScalar: s + }), g = br({ + typed: e, + DenseMatrix: p + }), v = Jt({ + typed: e, + matrix: a, + concat: u + }); + return e(F1, { + "number, number": N, + "BigNumber, BigNumber": function(C, x) { + return x.isZero() ? C : C.sub(x.mul(f(C.div(x)))); + }, + "bigint, bigint": function(C, x) { + if (x === 0n) + return C; + if (C < 0) { + var E = C % x; + return E === 0n ? E : E + x; + } + return C % x; + }, + "Fraction, Fraction": function(C, x) { + return x.equals(0) ? C : C.sub(x.mul(f(C.div(x)))); + } + }, v({ + SS: h, + DS: c, + SD: l, + Ss: d, + sS: g + })); + function N(b, C) { + return C === 0 ? b : b - C * f(b / C); + } +}), h_ = "matAlgo01xDSid", m_ = ["typed"], Ri = /* @__PURE__ */ j(h_, m_, (t) => { + var { + typed: e + } = t; + return function(n, a, s, o) { + var p = n._data, u = n._size, f = n._datatype || n.getDataType(), l = a._values, c = a._index, h = a._ptr, d = a._size, g = a._datatype || a._data === void 0 ? a._datatype : a.getDataType(); + if (u.length !== d.length) + throw new xt(u.length, d.length); + if (u[0] !== d[0] || u[1] !== d[1]) + throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + d + ")"); + if (!l) + throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix"); + var v = u[0], N = u[1], b = typeof f == "string" && f !== "mixed" && f === g ? f : void 0, C = b ? e.find(s, [b, b]) : s, x, E, D = []; + for (x = 0; x < v; x++) + D[x] = []; + var A = [], M = []; + for (E = 0; E < N; E++) { + for (var _ = E + 1, O = h[E], T = h[E + 1], I = O; I < T; I++) + x = c[I], A[x] = o ? C(l[I], p[x][E]) : C(p[x][E], l[I]), M[x] = _; + for (x = 0; x < v; x++) + M[x] === _ ? D[x][E] = A[x] : D[x][E] = p[x][E]; + } + return n.createDenseMatrix({ + data: D, + size: [v, N], + datatype: f === n._datatype && g === a._datatype ? b : void 0 + }); + }; +}), d_ = "matAlgo04xSidSid", v_ = ["typed", "equalScalar"], _d = /* @__PURE__ */ j(d_, v_, (t) => { + var { + typed: e, + equalScalar: r + } = t; + return function(a, s, o) { + var p = a._values, u = a._index, f = a._ptr, l = a._size, c = a._datatype || a._data === void 0 ? a._datatype : a.getDataType(), h = s._values, d = s._index, g = s._ptr, v = s._size, N = s._datatype || s._data === void 0 ? s._datatype : s.getDataType(); + if (l.length !== v.length) + throw new xt(l.length, v.length); + if (l[0] !== v[0] || l[1] !== v[1]) + throw new RangeError("Dimension mismatch. Matrix A (" + l + ") must match Matrix B (" + v + ")"); + var b = l[0], C = l[1], x, E = r, D = 0, A = o; + typeof c == "string" && c === N && c !== "mixed" && (x = c, E = e.find(r, [x, x]), D = e.convert(0, x), A = e.find(o, [x, x])); + var M = p && h ? [] : void 0, _ = [], O = [], T = p && h ? [] : void 0, I = p && h ? [] : void 0, q = [], $ = [], U, k, L, R, G; + for (k = 0; k < C; k++) { + O[k] = _.length; + var P = k + 1; + for (R = f[k], G = f[k + 1], L = R; L < G; L++) + U = u[L], _.push(U), q[U] = P, T && (T[U] = p[L]); + for (R = g[k], G = g[k + 1], L = R; L < G; L++) + if (U = d[L], q[U] === P) { + if (T) { + var W = A(T[U], h[L]); + E(W, D) ? q[U] = null : T[U] = W; + } + } else + _.push(U), $[U] = P, I && (I[U] = h[L]); + if (T && I) + for (L = O[k]; L < _.length; ) + U = _[L], q[U] === P ? (M[L] = T[U], L++) : $[U] === P ? (M[L] = I[U], L++) : _.splice(L, 1); + } + return O[C] = _.length, a.createSparseMatrix({ + values: M, + index: _, + ptr: O, + size: [b, C], + datatype: c === a._datatype && N === s._datatype ? x : void 0 + }); + }; +}), g_ = "matAlgo10xSids", y_ = ["typed", "DenseMatrix"], la = /* @__PURE__ */ j(g_, y_, (t) => { + var { + typed: e, + DenseMatrix: r + } = t; + return function(a, s, o, p) { + var u = a._values, f = a._index, l = a._ptr, c = a._size, h = a._datatype; + if (!u) + throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value"); + var d = c[0], g = c[1], v, N = o; + typeof h == "string" && (v = h, s = e.convert(s, v), N = e.find(o, [v, v])); + for (var b = [], C = [], x = [], E = 0; E < g; E++) { + for (var D = E + 1, A = l[E], M = l[E + 1], _ = A; _ < M; _++) { + var O = f[_]; + C[O] = u[_], x[O] = D; + } + for (var T = 0; T < d; T++) + E === 0 && (b[T] = []), x[T] === D ? b[T][E] = p ? N(s, C[T]) : N(C[T], s) : b[T][E] = s; + } + return new r({ + data: b, + size: [d, g], + datatype: v + }); + }; +}); +function Zn(t, e, r, n) { + if (!(this instanceof Zn)) + throw new SyntaxError("Constructor must be called with the new operator"); + this.fn = t, this.count = e, this.min = r, this.max = n, this.message = "Wrong number of arguments in function " + t + " (" + e + " provided, " + r + (n != null ? "-" + n : "") + " expected)", this.stack = new Error().stack; +} +Zn.prototype = new Error(); +Zn.prototype.constructor = Error; +Zn.prototype.name = "ArgumentsError"; +Zn.prototype.isArgumentsError = !0; +var q1 = "gcd", x_ = ["typed", "config", "round", "matrix", "equalScalar", "zeros", "BigNumber", "DenseMatrix", "concat"], Rm = "number | BigNumber | Fraction | Matrix | Array", b_ = "".concat(Rm, ", ").concat(Rm, ", ...").concat(Rm); +function I1(t) { + return !t.some((e) => Array.isArray(e)); +} +var N0 = /* @__PURE__ */ j(q1, x_, (t) => { + var { + typed: e, + matrix: r, + config: n, + round: a, + equalScalar: s, + zeros: o, + BigNumber: p, + DenseMatrix: u, + concat: f + } = t, l = Hs({ + typed: e, + config: n, + round: a, + matrix: r, + equalScalar: s, + zeros: o, + DenseMatrix: u, + concat: f + }), c = Ri({ + typed: e + }), h = _d({ + typed: e, + equalScalar: s + }), d = la({ + typed: e, + DenseMatrix: u + }), g = Jt({ + typed: e, + matrix: r, + concat: f + }); + return e(q1, { + "number, number": v, + "BigNumber, BigNumber": N, + "Fraction, Fraction": (b, C) => b.gcd(C) + }, g({ + SS: h, + DS: c, + Ss: d + }), { + [b_]: e.referToSelf((b) => (C, x, E) => { + for (var D = b(C, x), A = 0; A < E.length; A++) + D = b(D, E[A]); + return D; + }), + Array: e.referToSelf((b) => (C) => { + if (C.length === 1 && Array.isArray(C[0]) && I1(C[0])) + return b(...C[0]); + if (I1(C)) + return b(...C); + throw new Zn("gcd() supports only 1d matrices!"); + }), + Matrix: e.referToSelf((b) => (C) => b(C.toArray())) + }); + function v(b, C) { + if (!Xe(b) || !Xe(C)) + throw new Error("Parameters in function gcd must be integer numbers"); + for (var x; C !== 0; ) + x = l(b, C), b = C, C = x; + return b < 0 ? -b : b; + } + function N(b, C) { + if (!b.isInt() || !C.isInt()) + throw new Error("Parameters in function gcd must be integer numbers"); + for (var x = new p(0); !C.isZero(); ) { + var E = l(b, C); + b = C, C = E; + } + return b.lt(x) ? b.neg() : b; + } +}), w_ = "matAlgo06xS0S0", N_ = ["typed", "equalScalar"], D0 = /* @__PURE__ */ j(w_, N_, (t) => { + var { + typed: e, + equalScalar: r + } = t; + return function(a, s, o) { + var p = a._values, u = a._size, f = a._datatype || a._data === void 0 ? a._datatype : a.getDataType(), l = s._values, c = s._size, h = s._datatype || s._data === void 0 ? s._datatype : s.getDataType(); + if (u.length !== c.length) + throw new xt(u.length, c.length); + if (u[0] !== c[0] || u[1] !== c[1]) + throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + c + ")"); + var d = u[0], g = u[1], v, N = r, b = 0, C = o; + typeof f == "string" && f === h && f !== "mixed" && (v = f, N = e.find(r, [v, v]), b = e.convert(0, v), C = e.find(o, [v, v])); + for (var x = p && l ? [] : void 0, E = [], D = [], A = x ? [] : void 0, M = [], _ = [], O = 0; O < g; O++) { + D[O] = E.length; + var T = O + 1; + if (i1(a, O, M, A, _, T, E, C), i1(s, O, M, A, _, T, E, C), A) + for (var I = D[O]; I < E.length; ) { + var q = E[I]; + if (_[q] === T) { + var $ = A[q]; + N($, b) ? E.splice(I, 1) : (x.push($), I++); + } else + E.splice(I, 1); + } + else + for (var U = D[O]; U < E.length; ) { + var k = E[U]; + _[k] !== T ? E.splice(U, 1) : U++; + } + } + return D[g] = E.length, a.createSparseMatrix({ + values: x, + index: E, + ptr: D, + size: [d, g], + datatype: f === a._datatype && h === s._datatype ? v : void 0 + }); + }; +}), B1 = "lcm", D_ = ["typed", "matrix", "equalScalar", "concat"], A0 = /* @__PURE__ */ j(B1, D_, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + concat: a + } = t, s = Un({ + typed: e, + equalScalar: n + }), o = D0({ + typed: e, + equalScalar: n + }), p = Pr({ + typed: e, + equalScalar: n + }), u = Jt({ + typed: e, + matrix: r, + concat: a + }), f = "number | BigNumber | Fraction | Matrix | Array", l = {}; + return l["".concat(f, ", ").concat(f, ", ...").concat(f)] = e.referToSelf((h) => (d, g, v) => { + for (var N = h(d, g), b = 0; b < v.length; b++) + N = h(N, v[b]); + return N; + }), e(B1, { + "number, number": ow, + "BigNumber, BigNumber": c, + "Fraction, Fraction": (h, d) => h.lcm(d) + }, u({ + SS: o, + DS: s, + Ss: p + }), l); + function c(h, d) { + if (!h.isInt() || !d.isInt()) + throw new Error("Parameters in function lcm must be integer numbers"); + if (h.isZero()) + return h; + if (d.isZero()) + return d; + for (var g = h.times(d); !d.isZero(); ) { + var v = d; + d = h.mod(v), h = v; + } + return g.div(h).abs(); + } +}), R1 = "log10", A_ = ["typed", "config", "Complex"], E0 = /* @__PURE__ */ j(R1, A_, (t) => { + var { + typed: e, + config: r, + Complex: n + } = t; + return e(R1, { + number: function(s) { + return s >= 0 || r.predictable ? uw(s) : new n(s, 0).log().div(Math.LN10); + }, + Complex: function(s) { + return new n(s).log().div(Math.LN10); + }, + BigNumber: function(s) { + return !s.isNegative() || r.predictable ? s.log() : new n(s.toNumber(), 0).log().div(Math.LN10); + }, + "Array | Matrix": e.referToSelf((a) => (s) => Nt(s, a)) + }); +}), L1 = "log2", E_ = ["typed", "config", "Complex"], S0 = /* @__PURE__ */ j(L1, E_, (t) => { + var { + typed: e, + config: r, + Complex: n + } = t; + return e(L1, { + number: function(o) { + return o >= 0 || r.predictable ? lw(o) : a(new n(o, 0)); + }, + Complex: a, + BigNumber: function(o) { + return !o.isNegative() || r.predictable ? o.log(2) : a(new n(o.toNumber(), 0)); + }, + "Array | Matrix": e.referToSelf((s) => (o) => Nt(o, s)) + }); + function a(s) { + var o = Math.sqrt(s.re * s.re + s.im * s.im); + return new n(Math.log2 ? Math.log2(o) : Math.log(o) / Math.LN2, Math.atan2(s.im, s.re) / Math.LN2); + } +}), S_ = "multiplyScalar", C_ = ["typed"], C0 = /* @__PURE__ */ j(S_, C_, (t) => { + var { + typed: e + } = t; + return e("multiplyScalar", { + "number, number": tw, + "Complex, Complex": function(n, a) { + return n.mul(a); + }, + "BigNumber, BigNumber": function(n, a) { + return n.times(a); + }, + "bigint, bigint": function(n, a) { + return n * a; + }, + "Fraction, Fraction": function(n, a) { + return n.mul(a); + }, + "number | Fraction | BigNumber | Complex, Unit": (r, n) => n.multiply(r), + "Unit, number | Fraction | BigNumber | Complex | Unit": (r, n) => r.multiply(n) + }); +}), P1 = "multiply", T_ = ["typed", "matrix", "addScalar", "multiplyScalar", "equalScalar", "dot"], T0 = /* @__PURE__ */ j(P1, T_, (t) => { + var { + typed: e, + matrix: r, + addScalar: n, + multiplyScalar: a, + equalScalar: s, + dot: o + } = t, p = Pr({ + typed: e, + equalScalar: s + }), u = zn({ + typed: e + }); + function f(D, A) { + switch (D.length) { + case 1: + switch (A.length) { + case 1: + if (D[0] !== A[0]) + throw new RangeError("Dimension mismatch in multiplication. Vectors must have the same length"); + break; + case 2: + if (D[0] !== A[0]) + throw new RangeError("Dimension mismatch in multiplication. Vector length (" + D[0] + ") must match Matrix rows (" + A[0] + ")"); + break; + default: + throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has " + A.length + " dimensions)"); + } + break; + case 2: + switch (A.length) { + case 1: + if (D[1] !== A[0]) + throw new RangeError("Dimension mismatch in multiplication. Matrix columns (" + D[1] + ") must match Vector length (" + A[0] + ")"); + break; + case 2: + if (D[1] !== A[0]) + throw new RangeError("Dimension mismatch in multiplication. Matrix A columns (" + D[1] + ") must match Matrix B rows (" + A[0] + ")"); + break; + default: + throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has " + A.length + " dimensions)"); + } + break; + default: + throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix A has " + D.length + " dimensions)"); + } + } + function l(D, A, M) { + if (M === 0) + throw new Error("Cannot multiply two empty vectors"); + return o(D, A); + } + function c(D, A) { + if (A.storage() !== "dense") + throw new Error("Support for SparseMatrix not implemented"); + return h(D, A); + } + function h(D, A) { + var M = D._data, _ = D._size, O = D._datatype || D.getDataType(), T = A._data, I = A._size, q = A._datatype || A.getDataType(), $ = _[0], U = I[1], k, L = n, R = a; + O && q && O === q && typeof O == "string" && O !== "mixed" && (k = O, L = e.find(n, [k, k]), R = e.find(a, [k, k])); + for (var G = [], P = 0; P < U; P++) { + for (var W = R(M[0], T[0][P]), le = 1; le < $; le++) + W = L(W, R(M[le], T[le][P])); + G[P] = W; + } + return D.createDenseMatrix({ + data: G, + size: [U], + datatype: O === D._datatype && q === A._datatype ? k : void 0 + }); + } + var d = e("_multiplyMatrixVector", { + "DenseMatrix, any": v, + "SparseMatrix, any": C + }), g = e("_multiplyMatrixMatrix", { + "DenseMatrix, DenseMatrix": N, + "DenseMatrix, SparseMatrix": b, + "SparseMatrix, DenseMatrix": x, + "SparseMatrix, SparseMatrix": E + }); + function v(D, A) { + var M = D._data, _ = D._size, O = D._datatype || D.getDataType(), T = A._data, I = A._datatype || A.getDataType(), q = _[0], $ = _[1], U, k = n, L = a; + O && I && O === I && typeof O == "string" && O !== "mixed" && (U = O, k = e.find(n, [U, U]), L = e.find(a, [U, U])); + for (var R = [], G = 0; G < q; G++) { + for (var P = M[G], W = L(P[0], T[0]), le = 1; le < $; le++) + W = k(W, L(P[le], T[le])); + R[G] = W; + } + return D.createDenseMatrix({ + data: R, + size: [q], + datatype: O === D._datatype && I === A._datatype ? U : void 0 + }); + } + function N(D, A) { + var M = D._data, _ = D._size, O = D._datatype || D.getDataType(), T = A._data, I = A._size, q = A._datatype || A.getDataType(), $ = _[0], U = _[1], k = I[1], L, R = n, G = a; + O && q && O === q && typeof O == "string" && O !== "mixed" && O !== "mixed" && (L = O, R = e.find(n, [L, L]), G = e.find(a, [L, L])); + for (var P = [], W = 0; W < $; W++) { + var le = M[W]; + P[W] = []; + for (var Z = 0; Z < k; Z++) { + for (var H = G(le[0], T[0][Z]), te = 1; te < U; te++) + H = R(H, G(le[te], T[te][Z])); + P[W][Z] = H; + } + } + return D.createDenseMatrix({ + data: P, + size: [$, k], + datatype: O === D._datatype && q === A._datatype ? L : void 0 + }); + } + function b(D, A) { + var M = D._data, _ = D._size, O = D._datatype || D.getDataType(), T = A._values, I = A._index, q = A._ptr, $ = A._size, U = A._datatype || A._data === void 0 ? A._datatype : A.getDataType(); + if (!T) + throw new Error("Cannot multiply Dense Matrix times Pattern only Matrix"); + var k = _[0], L = $[1], R, G = n, P = a, W = s, le = 0; + O && U && O === U && typeof O == "string" && O !== "mixed" && (R = O, G = e.find(n, [R, R]), P = e.find(a, [R, R]), W = e.find(s, [R, R]), le = e.convert(0, R)); + for (var Z = [], H = [], te = [], be = A.createSparseMatrix({ + values: Z, + index: H, + ptr: te, + size: [k, L], + datatype: O === D._datatype && U === A._datatype ? R : void 0 + }), K = 0; K < L; K++) { + te[K] = H.length; + var ce = q[K], de = q[K + 1]; + if (de > ce) + for (var ue = 0, ve = 0; ve < k; ve++) { + for (var he = ve + 1, Ne = void 0, we = ce; we < de; we++) { + var Se = I[we]; + ue !== he ? (Ne = P(M[ve][Se], T[we]), ue = he) : Ne = G(Ne, P(M[ve][Se], T[we])); + } + ue === he && !W(Ne, le) && (H.push(ve), Z.push(Ne)); + } + } + return te[L] = H.length, be; + } + function C(D, A) { + var M = D._values, _ = D._index, O = D._ptr, T = D._datatype || D._data === void 0 ? D._datatype : D.getDataType(); + if (!M) + throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix"); + var I = A._data, q = A._datatype || A.getDataType(), $ = D._size[0], U = A._size[0], k = [], L = [], R = [], G, P = n, W = a, le = s, Z = 0; + T && q && T === q && typeof T == "string" && T !== "mixed" && (G = T, P = e.find(n, [G, G]), W = e.find(a, [G, G]), le = e.find(s, [G, G]), Z = e.convert(0, G)); + var H = [], te = []; + R[0] = 0; + for (var be = 0; be < U; be++) { + var K = I[be]; + if (!le(K, Z)) + for (var ce = O[be], de = O[be + 1], ue = ce; ue < de; ue++) { + var ve = _[ue]; + te[ve] ? H[ve] = P(H[ve], W(K, M[ue])) : (te[ve] = !0, L.push(ve), H[ve] = W(K, M[ue])); + } + } + for (var he = L.length, Ne = 0; Ne < he; Ne++) { + var we = L[Ne]; + k[Ne] = H[we]; + } + return R[1] = L.length, D.createSparseMatrix({ + values: k, + index: L, + ptr: R, + size: [$, 1], + datatype: T === D._datatype && q === A._datatype ? G : void 0 + }); + } + function x(D, A) { + var M = D._values, _ = D._index, O = D._ptr, T = D._datatype || D._data === void 0 ? D._datatype : D.getDataType(); + if (!M) + throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix"); + var I = A._data, q = A._datatype || A.getDataType(), $ = D._size[0], U = A._size[0], k = A._size[1], L, R = n, G = a, P = s, W = 0; + T && q && T === q && typeof T == "string" && T !== "mixed" && (L = T, R = e.find(n, [L, L]), G = e.find(a, [L, L]), P = e.find(s, [L, L]), W = e.convert(0, L)); + for (var le = [], Z = [], H = [], te = D.createSparseMatrix({ + values: le, + index: Z, + ptr: H, + size: [$, k], + datatype: T === D._datatype && q === A._datatype ? L : void 0 + }), be = [], K = [], ce = 0; ce < k; ce++) { + H[ce] = Z.length; + for (var de = ce + 1, ue = 0; ue < U; ue++) { + var ve = I[ue][ce]; + if (!P(ve, W)) + for (var he = O[ue], Ne = O[ue + 1], we = he; we < Ne; we++) { + var Se = _[we]; + K[Se] !== de ? (K[Se] = de, Z.push(Se), be[Se] = G(ve, M[we])) : be[Se] = R(be[Se], G(ve, M[we])); + } + } + for (var V = H[ce], re = Z.length, pe = V; pe < re; pe++) { + var X = Z[pe]; + le[pe] = be[X]; + } + } + return H[k] = Z.length, te; + } + function E(D, A) { + var M = D._values, _ = D._index, O = D._ptr, T = D._datatype || D._data === void 0 ? D._datatype : D.getDataType(), I = A._values, q = A._index, $ = A._ptr, U = A._datatype || A._data === void 0 ? A._datatype : A.getDataType(), k = D._size[0], L = A._size[1], R = M && I, G, P = n, W = a; + T && U && T === U && typeof T == "string" && T !== "mixed" && (G = T, P = e.find(n, [G, G]), W = e.find(a, [G, G])); + for (var le = R ? [] : void 0, Z = [], H = [], te = D.createSparseMatrix({ + values: le, + index: Z, + ptr: H, + size: [k, L], + datatype: T === D._datatype && U === A._datatype ? G : void 0 + }), be = R ? [] : void 0, K = [], ce, de, ue, ve, he, Ne, we, Se, V = 0; V < L; V++) { + H[V] = Z.length; + var re = V + 1; + for (he = $[V], Ne = $[V + 1], ve = he; ve < Ne; ve++) + if (Se = q[ve], R) + for (de = O[Se], ue = O[Se + 1], ce = de; ce < ue; ce++) + we = _[ce], K[we] !== re ? (K[we] = re, Z.push(we), be[we] = W(I[ve], M[ce])) : be[we] = P(be[we], W(I[ve], M[ce])); + else + for (de = O[Se], ue = O[Se + 1], ce = de; ce < ue; ce++) + we = _[ce], K[we] !== re && (K[we] = re, Z.push(we)); + if (R) + for (var pe = H[V], X = Z.length, ie = pe; ie < X; ie++) { + var me = Z[ie]; + le[ie] = be[me]; + } + } + return H[L] = Z.length, te; + } + return e(P1, a, { + // we extend the signatures of multiplyScalar with signatures dealing with matrices + "Array, Array": e.referTo("Matrix, Matrix", (D) => (A, M) => { + f(gt(A), gt(M)); + var _ = D(r(A), r(M)); + return tt(_) ? _.valueOf() : _; + }), + "Matrix, Matrix": function(A, M) { + var _ = A.size(), O = M.size(); + return f(_, O), _.length === 1 ? O.length === 1 ? l(A, M, _[0]) : c(A, M) : O.length === 1 ? d(A, M) : g(A, M); + }, + "Matrix, Array": e.referTo("Matrix,Matrix", (D) => (A, M) => D(A, r(M))), + "Array, Matrix": e.referToSelf((D) => (A, M) => D(r(A, M.storage()), M)), + "SparseMatrix, any": function(A, M) { + return p(A, M, a, !1); + }, + "DenseMatrix, any": function(A, M) { + return u(A, M, a, !1); + }, + "any, SparseMatrix": function(A, M) { + return p(M, A, a, !0); + }, + "any, DenseMatrix": function(A, M) { + return u(M, A, a, !0); + }, + "Array, any": function(A, M) { + return u(r(A), M, a, !1).valueOf(); + }, + "any, Array": function(A, M) { + return u(r(M), A, a, !0).valueOf(); + }, + "any, any": a, + "any, any, ...any": e.referToSelf((D) => (A, M, _) => { + for (var O = D(A, M), T = 0; T < _.length; T++) + O = D(O, _[T]); + return O; + }) + }); +}), k1 = "nthRoot", __ = ["typed", "matrix", "equalScalar", "BigNumber", "concat"], _0 = /* @__PURE__ */ j(k1, __, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + BigNumber: a, + concat: s + } = t, o = Ri({ + typed: e + }), p = Un({ + typed: e, + equalScalar: n + }), u = D0({ + typed: e, + equalScalar: n + }), f = Pr({ + typed: e, + equalScalar: n + }), l = Jt({ + typed: e, + matrix: r, + concat: s + }); + function c() { + throw new Error("Complex number not supported in function nthRoot. Use nthRoots instead."); + } + return e(k1, { + number: s1, + "number, number": s1, + BigNumber: (d) => h(d, new a(2)), + "BigNumber, BigNumber": h, + Complex: c, + "Complex, number": c, + Array: e.referTo("DenseMatrix,number", (d) => (g) => d(r(g), 2).valueOf()), + DenseMatrix: e.referTo("DenseMatrix,number", (d) => (g) => d(g, 2)), + SparseMatrix: e.referTo("SparseMatrix,number", (d) => (g) => d(g, 2)), + "SparseMatrix, SparseMatrix": e.referToSelf((d) => (g, v) => { + if (v.density() === 1) + return u(g, v, d); + throw new Error("Root must be non-zero"); + }), + "DenseMatrix, SparseMatrix": e.referToSelf((d) => (g, v) => { + if (v.density() === 1) + return o(g, v, d, !1); + throw new Error("Root must be non-zero"); + }), + "Array, SparseMatrix": e.referTo("DenseMatrix,SparseMatrix", (d) => (g, v) => d(r(g), v)), + "number | BigNumber, SparseMatrix": e.referToSelf((d) => (g, v) => { + if (v.density() === 1) + return f(v, g, d, !0); + throw new Error("Root must be non-zero"); + }) + }, l({ + scalar: "number | BigNumber", + SD: p, + Ss: f, + sS: !1 + })); + function h(d, g) { + var v = a.precision, N = a.clone({ + precision: v + 2 + }), b = new a(0), C = new N(1), x = g.isNegative(); + if (x && (g = g.neg()), g.isZero()) + throw new Error("Root must be non-zero"); + if (d.isNegative() && !g.abs().mod(2).equals(1)) + throw new Error("Root must be odd when a is negative."); + if (d.isZero()) + return x ? new N(1 / 0) : 0; + if (!d.isFinite()) + return x ? b : d; + var E = d.abs().pow(C.div(g)); + return E = d.isNeg() ? E.neg() : E, new a((x ? C.div(E) : E).toPrecision(v)); + } +}), $1 = "sign", M_ = ["typed", "BigNumber", "Fraction", "complex"], M0 = /* @__PURE__ */ j($1, M_, (t) => { + var { + typed: e, + BigNumber: r, + complex: n, + Fraction: a + } = t; + return e($1, { + number: Ym, + Complex: function(o) { + return o.im === 0 ? n(Ym(o.re)) : o.sign(); + }, + BigNumber: function(o) { + return new r(o.cmp(0)); + }, + bigint: function(o) { + return o > 0n ? 1n : o < 0n ? -1n : 0n; + }, + Fraction: function(o) { + return new a(o.s, 1); + }, + // deep map collection, skip zeros since sign(0) = 0 + "Array | Matrix": e.referToSelf((s) => (o) => Nt(o, s)), + Unit: e.referToSelf((s) => (o) => { + if (!o._isDerived() && o.units[0].unit.offset !== 0) + throw new TypeError("sign is ambiguous for units with offset"); + return e.find(s, o.valueType())(o.value); + }) + }); +}), O_ = "sqrt", F_ = ["config", "typed", "Complex"], O0 = /* @__PURE__ */ j(O_, F_, (t) => { + var { + config: e, + typed: r, + Complex: n + } = t; + return r("sqrt", { + number: a, + Complex: function(o) { + return o.sqrt(); + }, + BigNumber: function(o) { + return !o.isNegative() || e.predictable ? o.sqrt() : a(o.toNumber()); + }, + Unit: function(o) { + return o.pow(0.5); + } + }); + function a(s) { + return isNaN(s) ? NaN : s >= 0 || e.predictable ? Math.sqrt(s) : new n(s, 0).sqrt(); + } +}), z1 = "square", q_ = ["typed"], F0 = /* @__PURE__ */ j(z1, q_, (t) => { + var { + typed: e + } = t; + return e(z1, { + number: cw, + Complex: function(n) { + return n.mul(n); + }, + BigNumber: function(n) { + return n.times(n); + }, + bigint: function(n) { + return n * n; + }, + Fraction: function(n) { + return n.mul(n); + }, + Unit: function(n) { + return n.pow(2); + } + }); +}), U1 = "subtract", I_ = ["typed", "matrix", "equalScalar", "subtractScalar", "unaryMinus", "DenseMatrix", "concat"], q0 = /* @__PURE__ */ j(U1, I_, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + subtractScalar: a, + unaryMinus: s, + DenseMatrix: o, + concat: p + } = t, u = Ri({ + typed: e + }), f = rn({ + typed: e + }), l = w0({ + typed: e, + equalScalar: n + }), c = la({ + typed: e, + DenseMatrix: o + }), h = br({ + typed: e, + DenseMatrix: o + }), d = Jt({ + typed: e, + matrix: r, + concat: p + }); + return e(U1, { + "any, any": a + }, d({ + elop: a, + SS: l, + DS: u, + SD: f, + Ss: h, + sS: c + })); +}), G1 = "xgcd", B_ = ["typed", "config", "matrix", "BigNumber"], I0 = /* @__PURE__ */ j(G1, B_, (t) => { + var { + typed: e, + config: r, + matrix: n, + BigNumber: a + } = t; + return e(G1, { + "number, number": function(p, u) { + var f = fw(p, u); + return r.matrix === "Array" ? f : n(f); + }, + "BigNumber, BigNumber": s + // TODO: implement support for Fraction + }); + function s(o, p) { + var u, f, l, c = new a(0), h = new a(1), d = c, g = h, v = h, N = c; + if (!o.isInt() || !p.isInt()) + throw new Error("Parameters in function xgcd must be integer numbers"); + for (; !p.isZero(); ) + f = o.div(p).floor(), l = o.mod(p), u = d, d = g.minus(f.times(d)), g = u, u = v, v = N.minus(f.times(v)), N = u, o = p, p = l; + var b; + return o.lt(c) ? b = [o.neg(), g.neg(), N.neg()] : b = [o, o.isZero() ? 0 : g, N], r.matrix === "Array" ? b : n(b); + } +}), H1 = "invmod", R_ = ["typed", "config", "BigNumber", "xgcd", "equal", "smaller", "mod", "add", "isInteger"], B0 = /* @__PURE__ */ j(H1, R_, (t) => { + var { + typed: e, + config: r, + BigNumber: n, + xgcd: a, + equal: s, + smaller: o, + mod: p, + add: u, + isInteger: f + } = t; + return e(H1, { + "number, number": l, + "BigNumber, BigNumber": l + }); + function l(c, h) { + if (!f(c) || !f(h)) throw new Error("Parameters in function invmod must be integer numbers"); + if (c = p(c, h), s(h, 0)) throw new Error("Divisor must be non zero"); + var d = a(c, h); + d = d.valueOf(); + var [g, v] = d; + return s(g, n(1)) ? (v = p(v, h), o(v, n(0)) && (v = u(v, h)), v) : NaN; + } +}), L_ = "matAlgo09xS0Sf", P_ = ["typed", "equalScalar"], Gw = /* @__PURE__ */ j(L_, P_, (t) => { + var { + typed: e, + equalScalar: r + } = t; + return function(a, s, o) { + var p = a._values, u = a._index, f = a._ptr, l = a._size, c = a._datatype || a._data === void 0 ? a._datatype : a.getDataType(), h = s._values, d = s._index, g = s._ptr, v = s._size, N = s._datatype || s._data === void 0 ? s._datatype : s.getDataType(); + if (l.length !== v.length) + throw new xt(l.length, v.length); + if (l[0] !== v[0] || l[1] !== v[1]) + throw new RangeError("Dimension mismatch. Matrix A (" + l + ") must match Matrix B (" + v + ")"); + var b = l[0], C = l[1], x, E = r, D = 0, A = o; + typeof c == "string" && c === N && c !== "mixed" && (x = c, E = e.find(r, [x, x]), D = e.convert(0, x), A = e.find(o, [x, x])); + var M = p && h ? [] : void 0, _ = [], O = [], T = M ? [] : void 0, I = [], q, $, U, k, L; + for ($ = 0; $ < C; $++) { + O[$] = _.length; + var R = $ + 1; + if (T) + for (k = g[$], L = g[$ + 1], U = k; U < L; U++) + q = d[U], I[q] = R, T[q] = h[U]; + for (k = f[$], L = f[$ + 1], U = k; U < L; U++) + if (q = u[U], T) { + var G = I[q] === R ? T[q] : D, P = A(p[U], G); + E(P, D) || (_.push(q), M.push(P)); + } else + _.push(q); + } + return O[C] = _.length, a.createSparseMatrix({ + values: M, + index: _, + ptr: O, + size: [b, C], + datatype: c === a._datatype && N === s._datatype ? x : void 0 + }); + }; +}), Q1 = "dotMultiply", k_ = ["typed", "matrix", "equalScalar", "multiplyScalar", "concat"], R0 = /* @__PURE__ */ j(Q1, k_, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + multiplyScalar: a, + concat: s + } = t, o = Un({ + typed: e, + equalScalar: n + }), p = Gw({ + typed: e, + equalScalar: n + }), u = Pr({ + typed: e, + equalScalar: n + }), f = Jt({ + typed: e, + matrix: r, + concat: s + }); + return e(Q1, f({ + elop: a, + SS: p, + DS: o, + Ss: u + })); +}); +function $_(t, e) { + if (t.isFinite() && !t.isInteger() || e.isFinite() && !e.isInteger()) + throw new Error("Integers expected in function bitAnd"); + var r = t.constructor; + if (t.isNaN() || e.isNaN()) + return new r(NaN); + if (t.isZero() || e.eq(-1) || t.eq(e)) + return t; + if (e.isZero() || t.eq(-1)) + return e; + if (!t.isFinite() || !e.isFinite()) { + if (!t.isFinite() && !e.isFinite()) + return t.isNegative() === e.isNegative() ? t : new r(0); + if (!t.isFinite()) + return e.isNegative() ? t : t.isNegative() ? new r(0) : e; + if (!e.isFinite()) + return t.isNegative() ? e : e.isNegative() ? new r(0) : t; + } + return Md(t, e, function(n, a) { + return n & a; + }); +} +function Is(t) { + if (t.isFinite() && !t.isInteger()) + throw new Error("Integer expected in function bitNot"); + var e = t.constructor, r = e.precision; + e.config({ + precision: 1e9 + }); + var n = t.plus(new e(1)); + return n.s = -n.s || null, e.config({ + precision: r + }), n; +} +function z_(t, e) { + if (t.isFinite() && !t.isInteger() || e.isFinite() && !e.isInteger()) + throw new Error("Integers expected in function bitOr"); + var r = t.constructor; + if (t.isNaN() || e.isNaN()) + return new r(NaN); + var n = new r(-1); + return t.isZero() || e.eq(n) || t.eq(e) ? e : e.isZero() || t.eq(n) ? t : !t.isFinite() || !e.isFinite() ? !t.isFinite() && !t.isNegative() && e.isNegative() || t.isNegative() && !e.isNegative() && !e.isFinite() ? n : t.isNegative() && e.isNegative() ? t.isFinite() ? t : e : t.isFinite() ? e : t : Md(t, e, function(a, s) { + return a | s; + }); +} +function Md(t, e, r) { + var n = t.constructor, a, s, o = +(t.s < 0), p = +(e.s < 0); + if (o) { + a = qo(Is(t)); + for (var u = 0; u < a.length; ++u) + a[u] ^= 1; + } else + a = qo(t); + if (p) { + s = qo(Is(e)); + for (var f = 0; f < s.length; ++f) + s[f] ^= 1; + } else + s = qo(e); + var l, c, h; + a.length <= s.length ? (l = a, c = s, h = o) : (l = s, c = a, h = p); + var d = l.length, g = c.length, v = r(o, p) ^ 1, N = new n(v ^ 1), b = new n(1), C = new n(2), x = n.precision; + for (n.config({ + precision: 1e9 + }); d > 0; ) + r(l[--d], c[--g]) === v && (N = N.plus(b)), b = b.times(C); + for (; g > 0; ) + r(h, c[--g]) === v && (N = N.plus(b)), b = b.times(C); + return n.config({ + precision: x + }), v === 0 && (N.s = -N.s), N; +} +function qo(t) { + for (var e = t.d, r = e[0] + "", n = 1; n < e.length; ++n) { + for (var a = e[n] + "", s = 7 - a.length; s--; ) + a = "0" + a; + r += a; + } + for (var o = r.length; r.charAt(o) === "0"; ) + o--; + var p = t.e, u = r.slice(0, o + 1 || 1), f = u.length; + if (p > 0) + if (++p > f) + for (p -= f; p--; ) + u += "0"; + else p < f && (u = u.slice(0, p) + "." + u.slice(p)); + for (var l = [0], c = 0; c < u.length; ) { + for (var h = l.length; h--; ) + l[h] *= 10; + l[0] += parseInt(u.charAt(c++)); + for (var d = 0; d < l.length; ++d) + l[d] > 1 && ((l[d + 1] === null || l[d + 1] === void 0) && (l[d + 1] = 0), l[d + 1] += l[d] >> 1, l[d] &= 1); + } + return l.reverse(); +} +function U_(t, e) { + if (t.isFinite() && !t.isInteger() || e.isFinite() && !e.isInteger()) + throw new Error("Integers expected in function bitXor"); + var r = t.constructor; + if (t.isNaN() || e.isNaN()) + return new r(NaN); + if (t.isZero()) + return e; + if (e.isZero()) + return t; + if (t.eq(e)) + return new r(0); + var n = new r(-1); + return t.eq(n) ? Is(e) : e.eq(n) ? Is(t) : !t.isFinite() || !e.isFinite() ? !t.isFinite() && !e.isFinite() ? n : new r(t.isNegative() === e.isNegative() ? 1 / 0 : -1 / 0) : Md(t, e, function(a, s) { + return a ^ s; + }); +} +function G_(t, e) { + if (t.isFinite() && !t.isInteger() || e.isFinite() && !e.isInteger()) + throw new Error("Integers expected in function leftShift"); + var r = t.constructor; + return t.isNaN() || e.isNaN() || e.isNegative() && !e.isZero() ? new r(NaN) : t.isZero() || e.isZero() ? t : !t.isFinite() && !e.isFinite() ? new r(NaN) : e.lt(55) ? t.times(Math.pow(2, e.toNumber()) + "") : t.times(new r(2).pow(e)); +} +function H_(t, e) { + if (t.isFinite() && !t.isInteger() || e.isFinite() && !e.isInteger()) + throw new Error("Integers expected in function rightArithShift"); + var r = t.constructor; + return t.isNaN() || e.isNaN() || e.isNegative() && !e.isZero() ? new r(NaN) : t.isZero() || e.isZero() ? t : e.isFinite() ? e.lt(55) ? t.div(Math.pow(2, e.toNumber()) + "").floor() : t.div(new r(2).pow(e)).floor() : t.isNegative() ? new r(-1) : t.isFinite() ? new r(0) : new r(NaN); +} +var V1 = "bitAnd", Q_ = ["typed", "matrix", "equalScalar", "concat"], Qs = /* @__PURE__ */ j(V1, Q_, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + concat: a + } = t, s = Un({ + typed: e, + equalScalar: n + }), o = D0({ + typed: e, + equalScalar: n + }), p = Pr({ + typed: e, + equalScalar: n + }), u = Jt({ + typed: e, + matrix: r, + concat: a + }); + return e(V1, { + "number, number": hw, + "BigNumber, BigNumber": $_, + "bigint, bigint": (f, l) => f & l + }, u({ + SS: o, + DS: s, + Ss: p + })); +}), W1 = "bitNot", V_ = ["typed"], L0 = /* @__PURE__ */ j(W1, V_, (t) => { + var { + typed: e + } = t; + return e(W1, { + number: mw, + BigNumber: Is, + bigint: (r) => ~r, + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + }); +}), j1 = "bitOr", W_ = ["typed", "matrix", "equalScalar", "DenseMatrix", "concat"], Vs = /* @__PURE__ */ j(j1, W_, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + DenseMatrix: a, + concat: s + } = t, o = Ri({ + typed: e + }), p = _d({ + typed: e, + equalScalar: n + }), u = la({ + typed: e, + DenseMatrix: a + }), f = Jt({ + typed: e, + matrix: r, + concat: s + }); + return e(j1, { + "number, number": dw, + "BigNumber, BigNumber": z_, + "bigint, bigint": (l, c) => l | c + }, f({ + SS: p, + DS: o, + Ss: u + })); +}), j_ = "matAlgo07xSSf", Z_ = ["typed", "DenseMatrix"], Jn = /* @__PURE__ */ j(j_, Z_, (t) => { + var { + typed: e, + DenseMatrix: r + } = t; + return function(s, o, p) { + var u = s._size, f = s._datatype || s._data === void 0 ? s._datatype : s.getDataType(), l = o._size, c = o._datatype || o._data === void 0 ? o._datatype : o.getDataType(); + if (u.length !== l.length) + throw new xt(u.length, l.length); + if (u[0] !== l[0] || u[1] !== l[1]) + throw new RangeError("Dimension mismatch. Matrix A (" + u + ") must match Matrix B (" + l + ")"); + var h = u[0], d = u[1], g, v = 0, N = p; + typeof f == "string" && f === c && f !== "mixed" && (g = f, v = e.convert(0, g), N = e.find(p, [g, g])); + var b, C, x = []; + for (b = 0; b < h; b++) + x[b] = []; + var E = [], D = [], A = [], M = []; + for (C = 0; C < d; C++) { + var _ = C + 1; + for (n(s, C, A, E, _), n(o, C, M, D, _), b = 0; b < h; b++) { + var O = A[b] === _ ? E[b] : v, T = M[b] === _ ? D[b] : v; + x[b][C] = N(O, T); + } + } + return new r({ + data: x, + size: [h, d], + datatype: f === s._datatype && c === o._datatype ? g : void 0 + }); + }; + function n(a, s, o, p, u) { + for (var f = a._values, l = a._index, c = a._ptr, h = c[s], d = c[s + 1]; h < d; h++) { + var g = l[h]; + o[g] = u, p[g] = f[h]; + } + } +}), Z1 = "bitXor", J_ = ["typed", "matrix", "DenseMatrix", "concat"], P0 = /* @__PURE__ */ j(Z1, J_, (t) => { + var { + typed: e, + matrix: r, + DenseMatrix: n, + concat: a + } = t, s = rn({ + typed: e + }), o = Jn({ + typed: e, + DenseMatrix: n + }), p = br({ + typed: e, + DenseMatrix: n + }), u = Jt({ + typed: e, + matrix: r, + concat: a + }); + return e(Z1, { + "number, number": vw, + "BigNumber, BigNumber": U_, + "bigint, bigint": (f, l) => f ^ l + }, u({ + SS: o, + DS: s, + Ss: p + })); +}), J1 = "arg", Y_ = ["typed"], k0 = /* @__PURE__ */ j(J1, Y_, (t) => { + var { + typed: e + } = t; + return e(J1, { + number: function(n) { + return Math.atan2(0, n); + }, + BigNumber: function(n) { + return n.constructor.atan2(0, n); + }, + Complex: function(n) { + return n.arg(); + }, + // TODO: implement BigNumber support for function arg + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + }); +}), Y1 = "conj", X_ = ["typed"], $0 = /* @__PURE__ */ j(Y1, X_, (t) => { + var { + typed: e + } = t; + return e(Y1, { + "number | BigNumber | Fraction": (r) => r, + Complex: (r) => r.conjugate(), + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + }); +}), X1 = "im", K_ = ["typed"], z0 = /* @__PURE__ */ j(X1, K_, (t) => { + var { + typed: e + } = t; + return e(X1, { + number: () => 0, + "BigNumber | Fraction": (r) => r.mul(0), + Complex: (r) => r.im, + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + }); +}), K1 = "re", eM = ["typed"], U0 = /* @__PURE__ */ j(K1, eM, (t) => { + var { + typed: e + } = t; + return e(K1, { + "number | BigNumber | Fraction": (r) => r, + Complex: (r) => r.re, + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + }); +}), ey = "not", tM = ["typed"], G0 = /* @__PURE__ */ j(ey, tM, (t) => { + var { + typed: e + } = t; + return e(ey, { + "null | undefined": () => !0, + number: ww, + Complex: function(n) { + return n.re === 0 && n.im === 0; + }, + BigNumber: function(n) { + return n.isZero() || n.isNaN(); + }, + bigint: (r) => !r, + Unit: e.referToSelf((r) => (n) => e.find(r, n.valueType())(n.value)), + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + }); +}), ty = "or", rM = ["typed", "matrix", "equalScalar", "DenseMatrix", "concat"], Ws = /* @__PURE__ */ j(ty, rM, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + DenseMatrix: a, + concat: s + } = t, o = rn({ + typed: e + }), p = w0({ + typed: e, + equalScalar: n + }), u = br({ + typed: e, + DenseMatrix: a + }), f = Jt({ + typed: e, + matrix: r, + concat: s + }); + return e(ty, { + "number, number": Xm, + "Complex, Complex": function(c, h) { + return c.re !== 0 || c.im !== 0 || h.re !== 0 || h.im !== 0; + }, + "BigNumber, BigNumber": function(c, h) { + return !c.isZero() && !c.isNaN() || !h.isZero() && !h.isNaN(); + }, + "bigint, bigint": Xm, + "Unit, Unit": e.referToSelf((l) => (c, h) => l(c.value || 0, h.value || 0)) + }, f({ + SS: p, + DS: o, + Ss: u + })); +}), ry = "xor", nM = ["typed", "matrix", "DenseMatrix", "concat"], H0 = /* @__PURE__ */ j(ry, nM, (t) => { + var { + typed: e, + matrix: r, + DenseMatrix: n, + concat: a + } = t, s = rn({ + typed: e + }), o = Jn({ + typed: e, + DenseMatrix: n + }), p = br({ + typed: e, + DenseMatrix: n + }), u = Jt({ + typed: e, + matrix: r, + concat: a + }); + return e(ry, { + "number, number": Km, + "Complex, Complex": function(l, c) { + return (l.re !== 0 || l.im !== 0) != (c.re !== 0 || c.im !== 0); + }, + "bigint, bigint": Km, + "BigNumber, BigNumber": function(l, c) { + return (!l.isZero() && !l.isNaN()) != (!c.isZero() && !c.isNaN()); + }, + "Unit, Unit": e.referToSelf((f) => (l, c) => f(l.value || 0, c.value || 0)) + }, u({ + SS: o, + DS: s, + Ss: p + })); +}), ny = "concat", iM = ["typed", "matrix", "isInteger"], js = /* @__PURE__ */ j(ny, iM, (t) => { + var { + typed: e, + matrix: r, + isInteger: n + } = t; + return e(ny, { + // TODO: change signature to '...Array | Matrix, dim?' when supported + "...Array | Matrix | number | BigNumber": function(s) { + var o, p = s.length, u = -1, f, l = !1, c = []; + for (o = 0; o < p; o++) { + var h = s[o]; + if (tt(h) && (l = !0), ht(h) || ct(h)) { + if (o !== p - 1) + throw new Error("Dimension must be specified as last argument"); + if (f = u, u = h.valueOf(), !n(u)) + throw new TypeError("Integer number expected for dimension"); + if (u < 0 || o > 0 && u > f) + throw new yn(u, f + 1); + } else { + var d = nt(h).valueOf(), g = gt(d); + if (c[o] = d, f = u, u = g.length - 1, o > 0 && u !== f) + throw new xt(f + 1, u + 1); + } + } + if (c.length === 0) + throw new SyntaxError("At least one matrix expected"); + for (var v = c.shift(); c.length; ) + v = Z2(v, c.shift(), u); + return l ? r(v) : v; + }, + "...string": function(s) { + return s.join(""); + } + }); +}), iy = "column", aM = ["typed", "Index", "matrix", "range"], Zs = /* @__PURE__ */ j(iy, aM, (t) => { + var { + typed: e, + Index: r, + matrix: n, + range: a + } = t; + return e(iy, { + "Matrix, number": s, + "Array, number": function(p, u) { + return s(n(nt(p)), u).valueOf(); + } + }); + function s(o, p) { + if (o.size().length !== 2) + throw new Error("Only two dimensional matrix is supported"); + Ht(p, o.size()[1]); + var u = a(0, o.size()[0]), f = new r(u, p), l = o.subset(f); + return tt(l) ? l : n([[l]]); + } +}), ay = "count", sM = ["typed", "size", "prod"], Q0 = /* @__PURE__ */ j(ay, sM, (t) => { + var { + typed: e, + size: r, + prod: n + } = t; + return e(ay, { + string: function(s) { + return s.length; + }, + "Matrix | Array": function(s) { + return n(r(s)); + } + }); +}), sy = "cross", oM = ["typed", "matrix", "subtract", "multiply"], V0 = /* @__PURE__ */ j(sy, oM, (t) => { + var { + typed: e, + matrix: r, + subtract: n, + multiply: a + } = t; + return e(sy, { + "Matrix, Matrix": function(p, u) { + return r(s(p.toArray(), u.toArray())); + }, + "Matrix, Array": function(p, u) { + return r(s(p.toArray(), u)); + }, + "Array, Matrix": function(p, u) { + return r(s(p, u.toArray())); + }, + "Array, Array": s + }); + function s(o, p) { + var u = Math.max(gt(o).length, gt(p).length); + o = nu(o), p = nu(p); + var f = gt(o), l = gt(p); + if (f.length !== 1 || l.length !== 1 || f[0] !== 3 || l[0] !== 3) + throw new RangeError("Vectors with length 3 expected (Size A = [" + f.join(", ") + "], B = [" + l.join(", ") + "])"); + var c = [n(a(o[1], p[2]), a(o[2], p[1])), n(a(o[2], p[0]), a(o[0], p[2])), n(a(o[0], p[1]), a(o[1], p[0]))]; + return u > 1 ? [c] : c; + } +}), oy = "diag", uM = ["typed", "matrix", "DenseMatrix", "SparseMatrix"], W0 = /* @__PURE__ */ j(oy, uM, (t) => { + var { + typed: e, + matrix: r, + DenseMatrix: n, + SparseMatrix: a + } = t; + return e(oy, { + // FIXME: simplify this huge amount of signatures as soon as typed-function supports optional arguments + Array: function(f) { + return s(f, 0, gt(f), null); + }, + "Array, number": function(f, l) { + return s(f, l, gt(f), null); + }, + "Array, BigNumber": function(f, l) { + return s(f, l.toNumber(), gt(f), null); + }, + "Array, string": function(f, l) { + return s(f, 0, gt(f), l); + }, + "Array, number, string": function(f, l, c) { + return s(f, l, gt(f), c); + }, + "Array, BigNumber, string": function(f, l, c) { + return s(f, l.toNumber(), gt(f), c); + }, + Matrix: function(f) { + return s(f, 0, f.size(), f.storage()); + }, + "Matrix, number": function(f, l) { + return s(f, l, f.size(), f.storage()); + }, + "Matrix, BigNumber": function(f, l) { + return s(f, l.toNumber(), f.size(), f.storage()); + }, + "Matrix, string": function(f, l) { + return s(f, 0, f.size(), l); + }, + "Matrix, number, string": function(f, l, c) { + return s(f, l, f.size(), c); + }, + "Matrix, BigNumber, string": function(f, l, c) { + return s(f, l.toNumber(), f.size(), c); + } + }); + function s(u, f, l, c) { + if (!Xe(f)) + throw new TypeError("Second parameter in function diag must be an integer"); + var h = f > 0 ? f : 0, d = f < 0 ? -f : 0; + switch (l.length) { + case 1: + return o(u, f, c, l[0], d, h); + case 2: + return p(u, f, c, l, d, h); + } + throw new RangeError("Matrix for function diag must be 2 dimensional"); + } + function o(u, f, l, c, h, d) { + var g = [c + h, c + d]; + if (l && l !== "sparse" && l !== "dense") + throw new TypeError("Unknown matrix type ".concat(l, '"')); + var v = l === "sparse" ? a.diagonal(g, u, f) : n.diagonal(g, u, f); + return l !== null ? v : v.valueOf(); + } + function p(u, f, l, c, h, d) { + if (tt(u)) { + var g = u.diagonal(f); + return l !== null ? l !== g.storage() ? r(g, l) : g : g.valueOf(); + } + for (var v = Math.min(c[0] - h, c[1] - d), N = [], b = 0; b < v; b++) + N[b] = u[b + h][b + d]; + return l !== null ? r(N) : N; + } +}); +function es(t, e, r, n, a) { + if (ea.isTypedFunction(t)) { + var s = [e, r, n], o = ea.resolve(t, s); + if (o) + return c(o.implementation, s); + var p = [e, r], u = ea.resolve(t, p); + if (u) + return c(u.implementation, p); + var f = [e], l = ea.resolve(t, f); + return l ? c(l.implementation, f) : c(t, s); + } else + return t(e, r, n); + function c(h, d) { + try { + return h.apply(h, d); + } catch (N) { + var g; + if (N instanceof TypeError && ((g = N.data) === null || g === void 0 ? void 0 : g.category) === "wrongType") { + var v = []; + throw v.push("value: ".concat(Vt(e))), d.length >= 2 && v.push("index: ".concat(Vt(r))), d.length >= 3 && v.push("array: ".concat(Vt(n))), new TypeError("Function ".concat(a, " cannot apply callback arguments ") + "".concat(t.name, "(").concat(v.join(", "), ") at index ").concat(JSON.stringify(r))); + } else + throw new TypeError("Function ".concat(a, " cannot apply callback arguments ") + "to function ".concat(t.name, ": ").concat(N.message)); + } + } +} +var lM = "filter", cM = ["typed"], j0 = /* @__PURE__ */ j(lM, cM, (t) => { + var { + typed: e + } = t; + return e("filter", { + "Array, function": uy, + "Matrix, function": function(n, a) { + return n.create(uy(n.toArray(), a)); + }, + "Array, RegExp": iu, + "Matrix, RegExp": function(n, a) { + return n.create(iu(n.toArray(), a)); + } + }); +}); +function uy(t, e) { + return W2(t, function(r, n, a) { + return es(e, r, [n], a, "filter"); + }); +} +var ly = "flatten", fM = ["typed", "matrix"], Z0 = /* @__PURE__ */ j(ly, fM, (t) => { + var { + typed: e, + matrix: r + } = t; + return e(ly, { + Array: function(a) { + return Lt(a); + }, + Matrix: function(a) { + var s = Lt(a.toArray()); + return r(s); + } + }); +}), cy = "forEach", pM = ["typed"], J0 = /* @__PURE__ */ j(cy, pM, (t) => { + var { + typed: e + } = t; + return e(cy, { + "Array, function": hM, + "Matrix, function": function(n, a) { + n.forEach(a); + } + }); +}); +function hM(t, e) { + var r = function n(a, s) { + if (Array.isArray(a)) + Pu(a, function(o, p) { + n(o, s.concat(p)); + }); + else + return es(e, a, s, t, "forEach"); + }; + r(t, []); +} +var fy = "getMatrixDataType", mM = ["typed"], Y0 = /* @__PURE__ */ j(fy, mM, (t) => { + var { + typed: e + } = t; + return e(fy, { + Array: function(n) { + return qs(n, Vt); + }, + Matrix: function(n) { + return n.getDataType(); + } + }); +}), py = "identity", dM = ["typed", "config", "matrix", "BigNumber", "DenseMatrix", "SparseMatrix"], X0 = /* @__PURE__ */ j(py, dM, (t) => { + var { + typed: e, + config: r, + matrix: n, + BigNumber: a, + DenseMatrix: s, + SparseMatrix: o + } = t; + return e(py, { + "": function() { + return r.matrix === "Matrix" ? n([]) : []; + }, + string: function(l) { + return n(l); + }, + "number | BigNumber": function(l) { + return u(l, l, r.matrix === "Matrix" ? "dense" : void 0); + }, + "number | BigNumber, string": function(l, c) { + return u(l, l, c); + }, + "number | BigNumber, number | BigNumber": function(l, c) { + return u(l, c, r.matrix === "Matrix" ? "dense" : void 0); + }, + "number | BigNumber, number | BigNumber, string": function(l, c, h) { + return u(l, c, h); + }, + Array: function(l) { + return p(l); + }, + "Array, string": function(l, c) { + return p(l, c); + }, + Matrix: function(l) { + return p(l.valueOf(), l.storage()); + }, + "Matrix, string": function(l, c) { + return p(l.valueOf(), c); + } + }); + function p(f, l) { + switch (f.length) { + case 0: + return l ? n(l) : []; + case 1: + return u(f[0], f[0], l); + case 2: + return u(f[0], f[1], l); + default: + throw new Error("Vector containing two values expected"); + } + } + function u(f, l, c) { + var h = ct(f) || ct(l) ? a : null; + if (ct(f) && (f = f.toNumber()), ct(l) && (l = l.toNumber()), !Xe(f) || f < 1) + throw new Error("Parameters in function identity must be positive integers"); + if (!Xe(l) || l < 1) + throw new Error("Parameters in function identity must be positive integers"); + var d = h ? new a(1) : 1, g = h ? new h(0) : 0, v = [f, l]; + if (c) { + if (c === "sparse") + return o.diagonal(v, d, 0, g); + if (c === "dense") + return s.diagonal(v, d, 0, g); + throw new TypeError('Unknown matrix type "'.concat(c, '"')); + } + for (var N = $a([], v, g), b = f < l ? f : l, C = 0; C < b; C++) + N[C][C] = d; + return N; + } +}), hy = "kron", vM = ["typed", "matrix", "multiplyScalar"], K0 = /* @__PURE__ */ j(hy, vM, (t) => { + var { + typed: e, + matrix: r, + multiplyScalar: n + } = t; + return e(hy, { + "Matrix, Matrix": function(o, p) { + return r(a(o.toArray(), p.toArray())); + }, + "Matrix, Array": function(o, p) { + return r(a(o.toArray(), p)); + }, + "Array, Matrix": function(o, p) { + return r(a(o, p.toArray())); + }, + "Array, Array": a + }); + function a(s, o) { + if (gt(s).length === 1 && (s = [s]), gt(o).length === 1 && (o = [o]), gt(s).length > 2 || gt(o).length > 2) + throw new RangeError("Vectors with dimensions greater then 2 are not supported expected (Size x = " + JSON.stringify(s.length) + ", y = " + JSON.stringify(o.length) + ")"); + var p = [], u = []; + return s.map(function(f) { + return o.map(function(l) { + return u = [], p.push(u), f.map(function(c) { + return l.map(function(h) { + return u.push(n(c, h)); + }); + }); + }); + }) && p; + } +}), my = "map", gM = ["typed"], tl = /* @__PURE__ */ j(my, gM, (t) => { + var { + typed: e + } = t; + return e(my, { + "Array, function": yM, + "Matrix, function": function(n, a) { + return n.map(a); + } + }); +}); +function yM(t, e) { + var r = function n(a, s) { + return Array.isArray(a) ? a.map(function(o, p) { + return n(o, s.concat(p)); + }) : es(e, a, s, t, "map"); + }; + return r(t, []); +} +var dy = "diff", xM = ["typed", "matrix", "subtract", "number"], Js = /* @__PURE__ */ j(dy, xM, (t) => { + var { + typed: e, + matrix: r, + subtract: n, + number: a + } = t; + return e(dy, { + "Array | Matrix": function(l) { + return tt(l) ? r(o(l.toArray())) : o(l); + }, + "Array | Matrix, number": function(l, c) { + if (!Xe(c)) throw new RangeError("Dimension must be a whole number"); + return tt(l) ? r(s(l.toArray(), c)) : s(l, c); + }, + "Array, BigNumber": e.referTo("Array,number", (f) => (l, c) => f(l, a(c))), + "Matrix, BigNumber": e.referTo("Matrix,number", (f) => (l, c) => f(l, a(c))) + }); + function s(f, l) { + if (tt(f) && (f = f.toArray()), !Array.isArray(f)) + throw RangeError("Array/Matrix does not have that many dimensions"); + if (l > 0) { + var c = []; + return f.forEach((h) => { + c.push(s(h, l - 1)); + }), c; + } else { + if (l === 0) + return o(f); + throw RangeError("Cannot have negative dimension"); + } + } + function o(f) { + for (var l = [], c = f.length, h = 1; h < c; h++) + l.push(p(f[h - 1], f[h])); + return l; + } + function p(f, l) { + tt(f) && (f = f.toArray()), tt(l) && (l = l.toArray()); + var c = Array.isArray(f), h = Array.isArray(l); + if (c && h) + return u(f, l); + if (!c && !h) + return n(l, f); + throw TypeError("Cannot calculate difference between 1 array and 1 non-array"); + } + function u(f, l) { + if (f.length !== l.length) + throw RangeError("Not all sub-arrays have the same length"); + for (var c = [], h = f.length, d = 0; d < h; d++) + c.push(p(f[d], l[d])); + return c; + } +}), bM = "ones", wM = ["typed", "config", "matrix", "BigNumber"], rl = /* @__PURE__ */ j(bM, wM, (t) => { + var { + typed: e, + config: r, + matrix: n, + BigNumber: a + } = t; + return e("ones", { + "": function() { + return r.matrix === "Array" ? s([]) : s([], "default"); + }, + // math.ones(m, n, p, ..., format) + // TODO: more accurate signature '...number | BigNumber, string' as soon as typed-function supports this + "...number | BigNumber | string": function(f) { + var l = f[f.length - 1]; + if (typeof l == "string") { + var c = f.pop(); + return s(f, c); + } else return r.matrix === "Array" ? s(f) : s(f, "default"); + }, + Array: s, + Matrix: function(f) { + var l = f.storage(); + return s(f.valueOf(), l); + }, + "Array | Matrix, string": function(f, l) { + return s(f.valueOf(), l); + } + }); + function s(u, f) { + var l = o(u), c = l ? new a(1) : 1; + if (p(u), f) { + var h = n(f); + return u.length > 0 ? h.resize(u, c) : h; + } else { + var d = []; + return u.length > 0 ? $a(d, u, c) : d; + } + } + function o(u) { + var f = !1; + return u.forEach(function(l, c, h) { + ct(l) && (f = !0, h[c] = l.toNumber()); + }), f; + } + function p(u) { + u.forEach(function(f) { + if (typeof f != "number" || !Xe(f) || f < 0) + throw new Error("Parameters in function ones must be positive integers"); + }); + } +}); +function Od() { + throw new Error('No "bignumber" implementation available'); +} +function Hw() { + throw new Error('No "fraction" implementation available'); +} +function Qw() { + throw new Error('No "matrix" implementation available'); +} +var vy = "range", NM = ["typed", "config", "?matrix", "?bignumber", "smaller", "smallerEq", "larger", "largerEq", "add", "isPositive"], Ys = /* @__PURE__ */ j(vy, NM, (t) => { + var { + typed: e, + config: r, + matrix: n, + bignumber: a, + smaller: s, + smallerEq: o, + larger: p, + largerEq: u, + add: f, + isPositive: l + } = t; + return e(vy, { + // TODO: simplify signatures when typed-function supports default values and optional arguments + // TODO: a number or boolean should not be converted to string here + string: h, + "string, boolean": h, + "number, number": function(N, b) { + return c(d(N, b, 1, !1)); + }, + "number, number, number": function(N, b, C) { + return c(d(N, b, C, !1)); + }, + "number, number, boolean": function(N, b, C) { + return c(d(N, b, 1, C)); + }, + "number, number, number, boolean": function(N, b, C, x) { + return c(d(N, b, C, x)); + }, + "BigNumber, BigNumber": function(N, b) { + var C = N.constructor; + return c(d(N, b, new C(1), !1)); + }, + "BigNumber, BigNumber, BigNumber": function(N, b, C) { + return c(d(N, b, C, !1)); + }, + "BigNumber, BigNumber, boolean": function(N, b, C) { + var x = N.constructor; + return c(d(N, b, new x(1), C)); + }, + "BigNumber, BigNumber, BigNumber, boolean": function(N, b, C, x) { + return c(d(N, b, C, x)); + }, + "Unit, Unit, Unit": function(N, b, C) { + return c(d(N, b, C, !1)); + }, + "Unit, Unit, Unit, boolean": function(N, b, C, x) { + return c(d(N, b, C, x)); + } + }); + function c(v) { + return r.matrix === "Matrix" ? n ? n(v) : Qw() : v; + } + function h(v, N) { + var b = g(v); + if (!b) + throw new SyntaxError('String "' + v + '" is no valid range'); + return r.number === "BigNumber" ? (a === void 0 && Od(), c(d(a(b.start), a(b.end), a(b.step)))) : c(d(b.start, b.end, b.step, N)); + } + function d(v, N, b, C) { + for (var x = [], E = l(b) ? C ? o : s : C ? u : p, D = v; E(D, N); ) + x.push(D), D = f(D, b); + return x; + } + function g(v) { + var N = v.split(":"), b = N.map(function(x) { + return Number(x); + }), C = b.some(function(x) { + return isNaN(x); + }); + if (C) + return null; + switch (b.length) { + case 2: + return { + start: b[0], + end: b[1], + step: 1 + }; + case 3: + return { + start: b[0], + end: b[2], + step: b[1] + }; + default: + return null; + } + } +}), gy = "reshape", DM = ["typed", "isInteger", "matrix"], nl = /* @__PURE__ */ j(gy, DM, (t) => { + var { + typed: e, + isInteger: r + } = t; + return e(gy, { + "Matrix, Array": function(a, s) { + return a.reshape(s, !0); + }, + "Array, Array": function(a, s) { + return s.forEach(function(o) { + if (!r(o)) + throw new TypeError("Invalid size for dimension: " + o); + }), Ed(a, s); + } + }); +}), AM = "resize", EM = ["config", "matrix"], il = /* @__PURE__ */ j(AM, EM, (t) => { + var { + config: e, + matrix: r + } = t; + return function(s, o, p) { + if (arguments.length !== 2 && arguments.length !== 3) + throw new Zn("resize", arguments.length, 2, 3); + if (tt(o) && (o = o.valueOf()), ct(o[0]) && (o = o.map(function(l) { + return ct(l) ? l.toNumber() : l; + })), tt(s)) + return s.resize(o, p, !0); + if (typeof s == "string") + return n(s, o, p); + var u = Array.isArray(s) ? !1 : e.matrix !== "Array"; + if (o.length === 0) { + for (; Array.isArray(s); ) + s = s[0]; + return nt(s); + } else { + Array.isArray(s) || (s = [s]), s = nt(s); + var f = $a(s, o, p); + return u ? r(f) : f; + } + }; + function n(a, s, o) { + if (o !== void 0) { + if (typeof o != "string" || o.length !== 1) + throw new TypeError("Single character expected as defaultValue"); + } else + o = " "; + if (s.length !== 1) + throw new xt(s.length, 1); + var p = s[0]; + if (typeof p != "number" || !Xe(p)) + throw new TypeError("Invalid size, must contain positive integers (size: " + Dt(s) + ")"); + if (a.length > p) + return a.substring(0, p); + if (a.length < p) { + for (var u = a, f = 0, l = p - a.length; f < l; f++) + u += o; + return u; + } else + return a; + } +}), yy = "rotate", SM = ["typed", "multiply", "rotationMatrix"], al = /* @__PURE__ */ j(yy, SM, (t) => { + var { + typed: e, + multiply: r, + rotationMatrix: n + } = t; + return e(yy, { + "Array , number | BigNumber | Complex | Unit": function(o, p) { + a(o, 2); + var u = r(n(p), o); + return u.toArray(); + }, + "Matrix , number | BigNumber | Complex | Unit": function(o, p) { + return a(o, 2), r(n(p), o); + }, + "Array, number | BigNumber | Complex | Unit, Array | Matrix": function(o, p, u) { + a(o, 3); + var f = r(n(p, u), o); + return f; + }, + "Matrix, number | BigNumber | Complex | Unit, Array | Matrix": function(o, p, u) { + return a(o, 3), r(n(p, u), o); + } + }); + function a(s, o) { + var p = Array.isArray(s) ? gt(s) : s.size(); + if (p.length > 2) + throw new RangeError("Vector must be of dimensions 1x".concat(o)); + if (p.length === 2 && p[1] !== 1) + throw new RangeError("Vector must be of dimensions 1x".concat(o)); + if (p[0] !== o) + throw new RangeError("Vector must be of dimensions 1x".concat(o)); + } +}), xy = "rotationMatrix", CM = ["typed", "config", "multiplyScalar", "addScalar", "unaryMinus", "norm", "matrix", "BigNumber", "DenseMatrix", "SparseMatrix", "cos", "sin"], sl = /* @__PURE__ */ j(xy, CM, (t) => { + var { + typed: e, + config: r, + multiplyScalar: n, + addScalar: a, + unaryMinus: s, + norm: o, + BigNumber: p, + matrix: u, + DenseMatrix: f, + SparseMatrix: l, + cos: c, + sin: h + } = t; + return e(xy, { + "": function() { + return r.matrix === "Matrix" ? u([]) : []; + }, + string: function(x) { + return u(x); + }, + "number | BigNumber | Complex | Unit": function(x) { + return d(x, r.matrix === "Matrix" ? "dense" : void 0); + }, + "number | BigNumber | Complex | Unit, string": function(x, E) { + return d(x, E); + }, + "number | BigNumber | Complex | Unit, Array": function(x, E) { + var D = u(E); + return g(D), b(x, D, void 0); + }, + "number | BigNumber | Complex | Unit, Matrix": function(x, E) { + g(E); + var D = E.storage() || (r.matrix === "Matrix" ? "dense" : void 0); + return b(x, E, D); + }, + "number | BigNumber | Complex | Unit, Array, string": function(x, E, D) { + var A = u(E); + return g(A), b(x, A, D); + }, + "number | BigNumber | Complex | Unit, Matrix, string": function(x, E, D) { + return g(E), b(x, E, D); + } + }); + function d(C, x) { + var E = ct(C), D = E ? new p(-1) : -1, A = c(C), M = h(C), _ = [[A, n(D, M)], [M, A]]; + return N(_, x); + } + function g(C) { + var x = C.size(); + if (x.length < 1 || x[0] !== 3) + throw new RangeError("Vector must be of dimensions 1x3"); + } + function v(C) { + return C.reduce((x, E) => n(x, E)); + } + function N(C, x) { + if (x) { + if (x === "sparse") + return new l(C); + if (x === "dense") + return new f(C); + throw new TypeError('Unknown matrix type "'.concat(x, '"')); + } + return C; + } + function b(C, x, E) { + var D = o(x); + if (D === 0) + throw new RangeError("Rotation around zero vector"); + var A = ct(C) ? p : null, M = A ? new A(1) : 1, _ = A ? new A(-1) : -1, O = A ? new A(x.get([0]) / D) : x.get([0]) / D, T = A ? new A(x.get([1]) / D) : x.get([1]) / D, I = A ? new A(x.get([2]) / D) : x.get([2]) / D, q = c(C), $ = a(M, s(q)), U = h(C), k = a(q, v([O, O, $])), L = a(v([O, T, $]), v([_, I, U])), R = a(v([O, I, $]), v([T, U])), G = a(v([O, T, $]), v([I, U])), P = a(q, v([T, T, $])), W = a(v([T, I, $]), v([_, O, U])), le = a(v([O, I, $]), v([_, T, U])), Z = a(v([T, I, $]), v([O, U])), H = a(q, v([I, I, $])), te = [[k, L, R], [G, P, W], [le, Z, H]]; + return N(te, E); + } +}), by = "row", TM = ["typed", "Index", "matrix", "range"], Xs = /* @__PURE__ */ j(by, TM, (t) => { + var { + typed: e, + Index: r, + matrix: n, + range: a + } = t; + return e(by, { + "Matrix, number": s, + "Array, number": function(p, u) { + return s(n(nt(p)), u).valueOf(); + } + }); + function s(o, p) { + if (o.size().length !== 2) + throw new Error("Only two dimensional matrix is supported"); + Ht(p, o.size()[0]); + var u = a(0, o.size()[1]), f = new r(p, u), l = o.subset(f); + return tt(l) ? l : n([[l]]); + } +}), wy = "size", _M = ["typed", "config", "?matrix"], ol = /* @__PURE__ */ j(wy, _M, (t) => { + var { + typed: e, + config: r, + matrix: n + } = t; + return e(wy, { + Matrix: function(s) { + return s.create(s.size()); + }, + Array: gt, + string: function(s) { + return r.matrix === "Array" ? [s.length] : n([s.length]); + }, + "number | Complex | BigNumber | Unit | boolean | null": function(s) { + return r.matrix === "Array" ? [] : n ? n([]) : Qw(); + } + }); +}), Ny = "squeeze", MM = ["typed", "matrix"], ul = /* @__PURE__ */ j(Ny, MM, (t) => { + var { + typed: e, + matrix: r + } = t; + return e(Ny, { + Array: function(a) { + return nu(nt(a)); + }, + Matrix: function(a) { + var s = nu(a.toArray()); + return Array.isArray(s) ? r(s) : s; + }, + any: function(a) { + return nt(a); + } + }); +}), Dy = "subset", OM = ["typed", "matrix", "zeros", "add"], Ks = /* @__PURE__ */ j(Dy, OM, (t) => { + var { + typed: e, + matrix: r, + zeros: n, + add: a + } = t; + return e(Dy, { + // get subset + "Matrix, Index": function(p, u) { + return ka(u) ? r() : (ru(p, u), p.subset(u)); + }, + "Array, Index": e.referTo("Matrix, Index", function(o) { + return function(p, u) { + var f = o(r(p), u); + return u.isScalar() ? f : f.valueOf(); + }; + }), + "Object, Index": qM, + "string, Index": FM, + // set subset + "Matrix, Index, any, any": function(p, u, f, l) { + return ka(u) ? p : (ru(p, u), p.clone().subset(u, s(f, u), l)); + }, + "Array, Index, any, any": e.referTo("Matrix, Index, any, any", function(o) { + return function(p, u, f, l) { + var c = o(r(p), u, f, l); + return c.isMatrix ? c.valueOf() : c; + }; + }), + "Array, Index, any": e.referTo("Matrix, Index, any, any", function(o) { + return function(p, u, f) { + return o(r(p), u, f, void 0).valueOf(); + }; + }), + "Matrix, Index, any": e.referTo("Matrix, Index, any, any", function(o) { + return function(p, u, f) { + return o(p, u, f, void 0); + }; + }), + "string, Index, string": Ay, + "string, Index, string, string": Ay, + "Object, Index, any": IM + }); + function s(o, p) { + if (typeof o == "string") + throw new Error("can't boradcast a string"); + if (p._isScalar) + return o; + var u = p.size(); + if (u.every((f) => f > 0)) + try { + return a(o, n(u)); + } catch { + return o; + } + else + return o; + } +}); +function FM(t, e) { + if (!Va(e)) + throw new TypeError("Index expected"); + if (ka(e)) + return ""; + if (ru(Array.from(t), e), e.size().length !== 1) + throw new xt(e.size().length, 1); + var r = t.length; + Ht(e.min()[0], r), Ht(e.max()[0], r); + var n = e.dimension(0), a = ""; + return n.forEach(function(s) { + a += t.charAt(s); + }), a; +} +function Ay(t, e, r, n) { + if (!e || e.isIndex !== !0) + throw new TypeError("Index expected"); + if (ka(e)) + return t; + if (ru(Array.from(t), e), e.size().length !== 1) + throw new xt(e.size().length, 1); + if (n !== void 0) { + if (typeof n != "string" || n.length !== 1) + throw new TypeError("Single character expected as defaultValue"); + } else + n = " "; + var a = e.dimension(0), s = a.size()[0]; + if (s !== r.length) + throw new xt(a.size()[0], r.length); + var o = t.length; + Ht(e.min()[0]), Ht(e.max()[0]); + for (var p = [], u = 0; u < o; u++) + p[u] = t.charAt(u); + if (a.forEach(function(c, h) { + p[c] = r.charAt(h[0]); + }), p.length > o) + for (var f = o - 1, l = p.length; f < l; f++) + p[f] || (p[f] = n); + return p.join(""); +} +function qM(t, e) { + if (!ka(e)) { + if (e.size().length !== 1) + throw new xt(e.size(), 1); + var r = e.dimension(0); + if (typeof r != "string") + throw new TypeError("String expected as index to retrieve an object property"); + return Kr(t, r); + } +} +function IM(t, e, r) { + if (ka(e)) + return t; + if (e.size().length !== 1) + throw new xt(e.size(), 1); + var n = e.dimension(0); + if (typeof n != "string") + throw new TypeError("String expected as index to retrieve an object property"); + var a = nt(t); + return La(a, n, r), a; +} +var Ey = "transpose", BM = ["typed", "matrix"], ll = /* @__PURE__ */ j(Ey, BM, (t) => { + var { + typed: e, + matrix: r + } = t; + return e(Ey, { + Array: (o) => n(r(o)).valueOf(), + Matrix: n, + any: nt + // scalars + }); + function n(o) { + var p = o.size(), u; + switch (p.length) { + case 1: + u = o.clone(); + break; + case 2: + { + var f = p[0], l = p[1]; + if (l === 0) + throw new RangeError("Cannot transpose a 2D matrix with no columns (size: " + Dt(p) + ")"); + switch (o.storage()) { + case "dense": + u = a(o, f, l); + break; + case "sparse": + u = s(o, f, l); + break; + } + } + break; + default: + throw new RangeError("Matrix must be a vector or two dimensional (size: " + Dt(p) + ")"); + } + return u; + } + function a(o, p, u) { + for (var f = o._data, l = [], c, h = 0; h < u; h++) { + c = l[h] = []; + for (var d = 0; d < p; d++) + c[d] = nt(f[d][h]); + } + return o.createDenseMatrix({ + data: l, + size: [u, p], + datatype: o._datatype + }); + } + function s(o, p, u) { + for (var f = o._values, l = o._index, c = o._ptr, h = f ? [] : void 0, d = [], g = [], v = [], N = 0; N < p; N++) + v[N] = 0; + var b, C, x; + for (b = 0, C = l.length; b < C; b++) + v[l[b]]++; + for (var E = 0, D = 0; D < p; D++) + g.push(E), E += v[D], v[D] = g[D]; + for (g.push(E), x = 0; x < u; x++) + for (var A = c[x], M = c[x + 1], _ = A; _ < M; _++) { + var O = v[l[_]]++; + d[O] = x, f && (h[O] = nt(f[_])); + } + return o.createSparseMatrix({ + values: h, + index: d, + ptr: g, + size: [u, p], + datatype: o._datatype + }); + } +}), Sy = "ctranspose", RM = ["typed", "transpose", "conj"], cl = /* @__PURE__ */ j(Sy, RM, (t) => { + var { + typed: e, + transpose: r, + conj: n + } = t; + return e(Sy, { + any: function(s) { + return n(r(s)); + } + }); +}), Cy = "zeros", LM = ["typed", "config", "matrix", "BigNumber"], fl = /* @__PURE__ */ j(Cy, LM, (t) => { + var { + typed: e, + config: r, + matrix: n, + BigNumber: a + } = t; + return e(Cy, { + "": function() { + return r.matrix === "Array" ? s([]) : s([], "default"); + }, + // math.zeros(m, n, p, ..., format) + // TODO: more accurate signature '...number | BigNumber, string' as soon as typed-function supports this + "...number | BigNumber | string": function(f) { + var l = f[f.length - 1]; + if (typeof l == "string") { + var c = f.pop(); + return s(f, c); + } else return r.matrix === "Array" ? s(f) : s(f, "default"); + }, + Array: s, + Matrix: function(f) { + var l = f.storage(); + return s(f.valueOf(), l); + }, + "Array | Matrix, string": function(f, l) { + return s(f.valueOf(), l); + } + }); + function s(u, f) { + var l = o(u), c = l ? new a(0) : 0; + if (p(u), f) { + var h = n(f); + return u.length > 0 ? h.resize(u, c) : h; + } else { + var d = []; + return u.length > 0 ? $a(d, u, c) : d; + } + } + function o(u) { + var f = !1; + return u.forEach(function(l, c, h) { + ct(l) && (f = !0, h[c] = l.toNumber()); + }), f; + } + function p(u) { + u.forEach(function(f) { + if (typeof f != "number" || !Xe(f) || f < 0) + throw new Error("Parameters in function zeros must be positive integers"); + }); + } +}), Ty = "fft", PM = ["typed", "matrix", "addScalar", "multiplyScalar", "divideScalar", "exp", "tau", "i", "dotDivide", "conj", "pow", "ceil", "log2"], pl = /* @__PURE__ */ j(Ty, PM, (t) => { + var { + typed: e, + matrix: r, + addScalar: n, + multiplyScalar: a, + divideScalar: s, + exp: o, + tau: p, + i: u, + dotDivide: f, + conj: l, + pow: c, + ceil: h, + log2: d + } = t; + return e(Ty, { + Array: g, + Matrix: function(x) { + return x.create(g(x.toArray())); + } + }); + function g(C) { + var x = gt(C); + return x.length === 1 ? b(C, x[0]) : v(C.map((E) => g(E, x.slice(1))), 0); + } + function v(C, x) { + var E = gt(C); + if (x !== 0) return new Array(E[0]).fill(0).map((A, M) => v(C[M], x - 1)); + if (E.length === 1) return b(C); + function D(A) { + var M = gt(A); + return new Array(M[1]).fill(0).map((_, O) => new Array(M[0]).fill(0).map((T, I) => A[I][O])); + } + return D(v(D(C), 1)); + } + function N(C) { + for (var x = C.length, E = o(s(a(-1, a(u, p)), x)), D = [], A = 1 - x; A < x; A++) + D.push(c(E, s(c(A, 2), 2))); + for (var M = c(2, h(d(x + x - 1))), _ = [...new Array(x).fill(0).map((L, R) => a(C[R], D[x - 1 + R])), ...new Array(M - x).fill(0)], O = [...new Array(x + x - 1).fill(0).map((L, R) => s(1, D[R])), ...new Array(M - (x + x - 1)).fill(0)], T = b(_), I = b(O), q = new Array(M).fill(0).map((L, R) => a(T[R], I[R])), $ = f(l(g(l(q))), M), U = [], k = x - 1; k < x + x - 1; k++) + U.push(a($[k], D[k])); + return U; + } + function b(C) { + var x = C.length; + if (x === 1) return [C[0]]; + if (x % 2 === 0) { + for (var E = [...b(C.filter((_, O) => O % 2 === 0)), ...b(C.filter((_, O) => O % 2 === 1))], D = 0; D < x / 2; D++) { + var A = E[D], M = a(E[D + x / 2], o(a(a(p, u), s(-D, x)))); + E[D] = n(A, M), E[D + x / 2] = n(A, a(-1, M)); + } + return E; + } else + return N(C); + } +}), _y = "ifft", kM = ["typed", "fft", "dotDivide", "conj"], hl = /* @__PURE__ */ j(_y, kM, (t) => { + var { + typed: e, + fft: r, + dotDivide: n, + conj: a + } = t; + return e(_y, { + "Array | Matrix": function(o) { + var p = tt(o) ? o.size() : gt(o); + return n(a(r(a(o))), p.reduce((u, f) => u * f, 1)); + } + }); +}); +function Bs(t) { + "@babel/helpers - typeof"; + return Bs = typeof Symbol == "function" && typeof Symbol.iterator == "symbol" ? function(e) { + return typeof e; + } : function(e) { + return e && typeof Symbol == "function" && e.constructor === Symbol && e !== Symbol.prototype ? "symbol" : typeof e; + }, Bs(t); +} +function $M(t, e) { + if (Bs(t) != "object" || !t) return t; + var r = t[Symbol.toPrimitive]; + if (r !== void 0) { + var n = r.call(t, e || "default"); + if (Bs(n) != "object") return n; + throw new TypeError("@@toPrimitive must return a primitive value."); + } + return (e === "string" ? String : Number)(t); +} +function zM(t) { + var e = $M(t, "string"); + return Bs(e) == "symbol" ? e : e + ""; +} +function xr(t, e, r) { + return (e = zM(e)) in t ? Object.defineProperty(t, e, { + value: r, + enumerable: !0, + configurable: !0, + writable: !0 + }) : t[e] = r, t; +} +function My(t, e) { + var r = Object.keys(t); + if (Object.getOwnPropertySymbols) { + var n = Object.getOwnPropertySymbols(t); + e && (n = n.filter(function(a) { + return Object.getOwnPropertyDescriptor(t, a).enumerable; + })), r.push.apply(r, n); + } + return r; +} +function UM(t) { + for (var e = 1; e < arguments.length; e++) { + var r = arguments[e] != null ? arguments[e] : {}; + e % 2 ? My(Object(r), !0).forEach(function(n) { + xr(t, n, r[n]); + }) : Object.getOwnPropertyDescriptors ? Object.defineProperties(t, Object.getOwnPropertyDescriptors(r)) : My(Object(r)).forEach(function(n) { + Object.defineProperty(t, n, Object.getOwnPropertyDescriptor(r, n)); + }); + } + return t; +} +var GM = "solveODE", HM = ["typed", "add", "subtract", "multiply", "divide", "max", "map", "abs", "isPositive", "isNegative", "larger", "smaller", "matrix", "bignumber", "unaryMinus"], ml = /* @__PURE__ */ j(GM, HM, (t) => { + var { + typed: e, + add: r, + subtract: n, + multiply: a, + divide: s, + max: o, + map: p, + abs: u, + isPositive: f, + isNegative: l, + larger: c, + smaller: h, + matrix: d, + bignumber: g, + unaryMinus: v + } = t; + function N(_) { + return function(O, T, I, q) { + var $ = !(T.length === 2 && (T.every(A) || T.every(Xr))); + if ($) + throw new Error('"tspan" must be an Array of two numeric values or two units [tStart, tEnd]'); + var U = T[0], k = T[1], L = c(k, U), R = q.firstStep; + if (R !== void 0 && !f(R)) + throw new Error('"firstStep" must be positive'); + var G = q.maxStep; + if (G !== void 0 && !f(G)) + throw new Error('"maxStep" must be positive'); + var P = q.minStep; + if (P && l(P)) + throw new Error('"minStep" must be positive or zero'); + var W = [U, k, R, P, G].filter((Q) => Q !== void 0); + if (!(W.every(A) || W.every(Xr))) + throw new Error('Inconsistent type of "t" dependant variables'); + for (var le = 1, Z = q.tol ? q.tol : 1e-4, H = q.minDelta ? q.minDelta : 0.2, te = q.maxDelta ? q.maxDelta : 5, be = q.maxIter ? q.maxIter : 1e4, K = [U, k, ...I, G, P].some(ct), [ce, de, ue, ve] = K ? [g(_.a), g(_.c), g(_.b), g(_.bp)] : [_.a, _.c, _.b, _.bp], he = R ? L ? R : v(R) : s(n(k, U), le), Ne = [U], we = [I], Se = n(ue, ve), V = 0, re = 0, pe = E(L), X = D(L); pe(Ne[V], k); ) { + var ie = []; + he = X(Ne[V], k, he), ie.push(O(Ne[V], we[V])); + for (var me = 1; me < de.length; ++me) + ie.push(O(r(Ne[V], a(de[me], he)), r(we[V], a(he, ce[me], ie)))); + var Ae = o(u(p(a(Se, ie), (Q) => Xr(Q) ? Q.value : Q))); + Ae < Z && Z / Ae > 1 / 4 && (Ne.push(r(Ne[V], he)), we.push(r(we[V], a(he, ue, ie))), V++); + var Me = 0.84 * (Z / Ae) ** (1 / 5); + if (h(Me, H) ? Me = H : c(Me, te) && (Me = te), Me = K ? g(Me) : Me, he = a(he, Me), G && c(u(he), G) ? he = L ? G : v(G) : P && h(u(he), P) && (he = L ? P : v(P)), re++, re > be) + throw new Error("Maximum number of iterations reached, try changing options"); + } + return { + t: Ne, + y: we + }; + }; + } + function b(_, O, T, I) { + var q = [[], [0.5], [0, 0.75], [0.2222222222222222, 0.3333333333333333, 0.4444444444444444]], $ = [null, 1 / 2, 3 / 4, 1], U = [2 / 9, 1 / 3, 4 / 9, 0], k = [7 / 24, 1 / 4, 1 / 3, 1 / 8], L = { + a: q, + c: $, + b: U, + bp: k + }; + return N(L)(_, O, T, I); + } + function C(_, O, T, I) { + var q = [[], [0.2], [0.075, 0.225], [0.9777777777777777, -3.7333333333333334, 3.5555555555555554], [2.9525986892242035, -11.595793324188385, 9.822892851699436, -0.2908093278463649], [2.8462752525252526, -10.757575757575758, 8.906422717743473, 0.2784090909090909, -0.2735313036020583], [0.09114583333333333, 0, 0.44923629829290207, 0.6510416666666666, -0.322376179245283, 0.13095238095238096]], $ = [null, 1 / 5, 3 / 10, 4 / 5, 8 / 9, 1, 1], U = [35 / 384, 0, 500 / 1113, 125 / 192, -2187 / 6784, 11 / 84, 0], k = [5179 / 57600, 0, 7571 / 16695, 393 / 640, -92097 / 339200, 187 / 2100, 1 / 40], L = { + a: q, + c: $, + b: U, + bp: k + }; + return N(L)(_, O, T, I); + } + function x(_, O, T, I) { + var q = I.method ? I.method : "RK45", $ = { + RK23: b, + RK45: C + }; + if (q.toUpperCase() in $) { + var U = UM({}, I); + return delete U.method, $[q.toUpperCase()](_, O, T, U); + } else { + var k = Object.keys($).map((R) => '"'.concat(R, '"')), L = "".concat(k.slice(0, -1).join(", "), " and ").concat(k.slice(-1)); + throw new Error('Unavailable method "'.concat(q, '". Available methods are ').concat(L)); + } + } + function E(_) { + return _ ? h : c; + } + function D(_) { + var O = _ ? c : h; + return function(T, I, q) { + var $ = r(T, q); + return O($, I) ? n(I, T) : q; + }; + } + function A(_) { + return ct(_) || ht(_); + } + function M(_, O, T, I) { + var q = x(_, O.toArray(), T.toArray(), I); + return { + t: d(q.t), + y: d(q.y) + }; + } + return e("solveODE", { + "function, Array, Array, Object": x, + "function, Matrix, Matrix, Object": M, + "function, Array, Array": (_, O, T) => x(_, O, T, {}), + "function, Matrix, Matrix": (_, O, T) => M(_, O, T, {}), + "function, Array, number | BigNumber | Unit": (_, O, T) => { + var I = x(_, O, [T], {}); + return { + t: I.t, + y: I.y.map((q) => q[0]) + }; + }, + "function, Matrix, number | BigNumber | Unit": (_, O, T) => { + var I = x(_, O.toArray(), [T], {}); + return { + t: d(I.t), + y: d(I.y.map((q) => q[0])) + }; + }, + "function, Array, number | BigNumber | Unit, Object": (_, O, T, I) => { + var q = x(_, O, [T], I); + return { + t: q.t, + y: q.y.map(($) => $[0]) + }; + }, + "function, Matrix, number | BigNumber | Unit, Object": (_, O, T, I) => { + var q = x(_, O.toArray(), [T], I); + return { + t: d(q.t), + y: d(q.y.map(($) => $[0])) + }; + } + }); +}), QM = "erf", VM = ["typed"], dl = /* @__PURE__ */ j(QM, VM, (t) => { + var { + typed: e + } = t; + return e("name", { + number: function(o) { + var p = Math.abs(o); + return p >= ZM ? Ci(o) : p <= WM ? Ci(o) * r(p) : p <= 4 ? Ci(o) * (1 - n(p)) : Ci(o) * (1 - a(p)); + }, + "Array | Matrix": e.referToSelf((s) => (o) => Nt(o, s)) + // TODO: For complex numbers, use the approximation for the Faddeeva function + // from "More Efficient Computation of the Complex Error Function" (AMS) + }); + function r(s) { + var o = s * s, p = si[0][4] * o, u = o, f; + for (f = 0; f < 3; f += 1) + p = (p + si[0][f]) * o, u = (u + Ca[0][f]) * o; + return s * (p + si[0][3]) / (u + Ca[0][3]); + } + function n(s) { + var o = si[1][8] * s, p = s, u; + for (u = 0; u < 7; u += 1) + o = (o + si[1][u]) * s, p = (p + Ca[1][u]) * s; + var f = (o + si[1][7]) / (p + Ca[1][7]), l = parseInt(s * 16) / 16, c = (s - l) * (s + l); + return Math.exp(-l * l) * Math.exp(-c) * f; + } + function a(s) { + var o = 1 / (s * s), p = si[2][5] * o, u = o, f; + for (f = 0; f < 4; f += 1) + p = (p + si[2][f]) * o, u = (u + Ca[2][f]) * o; + var l = o * (p + si[2][4]) / (u + Ca[2][4]); + l = (jM - l) / s, o = parseInt(s * 16) / 16; + var c = (s - o) * (s + o); + return Math.exp(-o * o) * Math.exp(-c) * l; + } +}), WM = 0.46875, jM = 0.5641895835477563, si = [[3.1611237438705655, 113.86415415105016, 377.485237685302, 3209.3775891384694, 0.18577770618460315], [0.5641884969886701, 8.883149794388377, 66.11919063714163, 298.6351381974001, 881.952221241769, 1712.0476126340707, 2051.0783778260716, 1230.3393547979972, 21531153547440383e-24], [0.30532663496123236, 0.36034489994980445, 0.12578172611122926, 0.016083785148742275, 6587491615298378e-19, 0.016315387137302097]], Ca = [[23.601290952344122, 244.02463793444417, 1282.6165260773723, 2844.236833439171], [15.744926110709835, 117.6939508913125, 537.1811018620099, 1621.3895745666903, 3290.7992357334597, 4362.619090143247, 3439.3676741437216, 1230.3393548037495], [2.568520192289822, 1.8729528499234604, 0.5279051029514285, 0.06051834131244132, 0.0023352049762686918]], ZM = Math.pow(2, 53), Oy = "zeta", JM = ["typed", "config", "multiply", "pow", "divide", "factorial", "equal", "smallerEq", "isNegative", "gamma", "sin", "subtract", "add", "?Complex", "?BigNumber", "pi"], vl = /* @__PURE__ */ j(Oy, JM, (t) => { + var { + typed: e, + config: r, + multiply: n, + pow: a, + divide: s, + factorial: o, + equal: p, + smallerEq: u, + isNegative: f, + gamma: l, + sin: c, + subtract: h, + add: d, + Complex: g, + BigNumber: v, + pi: N + } = t; + return e(Oy, { + number: (A) => b(A, (M) => M, () => 20), + BigNumber: (A) => b(A, (M) => new v(M), () => Math.abs(Math.log10(r.relTol))), + Complex: C + }); + function b(A, M, _) { + return p(A, 0) ? M(-0.5) : p(A, 1) ? M(NaN) : isFinite(A) ? x(A, M, _, (O) => O) : f(A) ? M(NaN) : M(1); + } + function C(A) { + return A.re === 0 && A.im === 0 ? new g(-0.5) : A.re === 1 ? new g(NaN, NaN) : A.re === 1 / 0 && A.im === 0 ? new g(1) : A.im === 1 / 0 || A.re === -1 / 0 ? new g(NaN, NaN) : x(A, (M) => M, (M) => Math.round(1.3 * 15 + 0.9 * Math.abs(M.im)), (M) => M.re); + } + function x(A, M, _, O) { + var T = _(A); + if (O(A) > -(T - 1) / 2) + return D(A, M(T), M); + var I = n(a(2, A), a(M(N), h(A, 1))); + return I = n(I, c(n(s(M(N), 2), A))), I = n(I, l(h(1, A))), n(I, x(h(1, A), M, _, O)); + } + function E(A, M) { + for (var _ = A, O = A; u(O, M); O = d(O, 1)) { + var T = s(n(o(d(M, h(O, 1))), a(4, O)), n(o(h(M, O)), o(n(2, O)))); + _ = d(_, T); + } + return n(M, _); + } + function D(A, M, _) { + for (var O = s(1, n(E(_(0), M), h(1, a(2, h(1, A))))), T = _(0), I = _(1); u(I, M); I = d(I, 1)) + T = d(T, s(n((-1) ** (I - 1), E(I, M)), a(I, A))); + return n(O, T); + } +}), Fy = "mode", YM = ["typed", "isNaN", "isNumeric"], gl = /* @__PURE__ */ j(Fy, YM, (t) => { + var { + typed: e, + isNaN: r, + isNumeric: n + } = t; + return e(Fy, { + "Array | Matrix": a, + "...": function(o) { + return a(o); + } + }); + function a(s) { + s = Lt(s.valueOf()); + var o = s.length; + if (o === 0) + throw new Error("Cannot calculate mode of an empty array"); + for (var p = {}, u = [], f = 0, l = 0; l < s.length; l++) { + var c = s[l]; + if (n(c) && r(c)) + throw new Error("Cannot calculate mode of an array containing NaN values"); + c in p || (p[c] = 0), p[c]++, p[c] === f ? u.push(c) : p[c] > f && (f = p[c], u = [c]); + } + return u; + } +}); +function tn(t, e, r) { + var n; + return String(t).includes("Unexpected type") ? (n = arguments.length > 2 ? " (type: " + Vt(r) + ", value: " + JSON.stringify(r) + ")" : " (type: " + t.data.actual + ")", new TypeError("Cannot calculate " + e + ", unexpected type of argument" + n)) : String(t).includes("complex numbers") ? (n = arguments.length > 2 ? " (type: " + Vt(r) + ", value: " + JSON.stringify(r) + ")" : "", new TypeError("Cannot calculate " + e + ", no ordering relation is defined for complex numbers" + n)) : t; +} +var qy = "prod", XM = ["typed", "config", "multiplyScalar", "numeric"], yl = /* @__PURE__ */ j(qy, XM, (t) => { + var { + typed: e, + config: r, + multiplyScalar: n, + numeric: a + } = t; + return e(qy, { + // prod([a, b, c, d, ...]) + "Array | Matrix": s, + // prod([a, b, c, d, ...], dim) + "Array | Matrix, number | BigNumber": function(p, u) { + throw new Error("prod(A, dim) is not yet supported"); + }, + // prod(a, b, c, d, ...) + "...": function(p) { + return s(p); + } + }); + function s(o) { + var p; + if (hi(o, function(u) { + try { + p = p === void 0 ? u : n(p, u); + } catch (f) { + throw tn(f, "prod", u); + } + }), typeof p == "string" && (p = a(p, Ii(p, r))), p === void 0) + throw new Error("Cannot calculate prod of an empty array"); + return p; + } +}), Iy = "format", KM = ["typed"], xl = /* @__PURE__ */ j(Iy, KM, (t) => { + var { + typed: e + } = t; + return e(Iy, { + any: Dt, + "any, Object | function | number | BigNumber": Dt + }); +}), By = "bin", eO = ["typed", "format"], bl = j(By, eO, (t) => { + var { + typed: e, + format: r + } = t; + return e(By, { + "number | BigNumber": function(a) { + return r(a, { + notation: "bin" + }); + }, + "number | BigNumber, number | BigNumber": function(a, s) { + return r(a, { + notation: "bin", + wordSize: s + }); + } + }); +}), Ry = "oct", tO = ["typed", "format"], wl = j(Ry, tO, (t) => { + var { + typed: e, + format: r + } = t; + return e(Ry, { + "number | BigNumber": function(a) { + return r(a, { + notation: "oct" + }); + }, + "number | BigNumber, number | BigNumber": function(a, s) { + return r(a, { + notation: "oct", + wordSize: s + }); + } + }); +}), Ly = "hex", rO = ["typed", "format"], Nl = j(Ly, rO, (t) => { + var { + typed: e, + format: r + } = t; + return e(Ly, { + "number | BigNumber": function(a) { + return r(a, { + notation: "hex" + }); + }, + "number | BigNumber, number | BigNumber": function(a, s) { + return r(a, { + notation: "hex", + wordSize: s + }); + } + }); +}), Vw = /\$([\w.]+)/g, Py = "print", nO = ["typed"], eo = /* @__PURE__ */ j(Py, nO, (t) => { + var { + typed: e + } = t; + return e(Py, { + // note: Matrix will be converted automatically to an Array + "string, Object | Array": ky, + "string, Object | Array, number | Object": ky + }); +}); +function ky(t, e, r) { + return t.replace(Vw, function(n, a) { + var s = a.split("."), o = e[s.shift()]; + for (o !== void 0 && o.isMatrix && (o = o.toArray()); s.length && o !== void 0; ) { + var p = s.shift(); + o = p ? o[p] : o + "."; + } + return o !== void 0 ? Er(o) ? o : Dt(o, r) : n; + }); +} +var $y = "to", iO = ["typed", "matrix", "concat"], Dl = /* @__PURE__ */ j($y, iO, (t) => { + var { + typed: e, + matrix: r, + concat: n + } = t, a = Jt({ + typed: e, + matrix: r, + concat: n + }); + return e($y, { + "Unit, Unit | string": (s, o) => s.to(o) + }, a({ + Ds: !0 + })); +}), zy = "isPrime", aO = ["typed"], Al = /* @__PURE__ */ j(zy, aO, (t) => { + var { + typed: e + } = t; + return e(zy, { + number: function(n) { + if (n <= 3) + return n > 1; + if (n % 2 === 0 || n % 3 === 0) + return !1; + for (var a = 5; a * a <= n; a += 6) + if (n % a === 0 || n % (a + 2) === 0) + return !1; + return !0; + }, + bigint: function(n) { + if (n <= 3n) + return n > 1n; + if (n % 2n === 0n || n % 3n === 0n) + return !1; + for (var a = 5n; a * a <= n; a += 6n) + if (n % a === 0n || n % (a + 2n) === 0n) + return !1; + return !0; + }, + BigNumber: function(n) { + if (n.lte(3)) return n.gt(1); + if (n.mod(2).eq(0) || n.mod(3).eq(0)) return !1; + if (n.lt(Math.pow(2, 32))) { + for (var a = n.toNumber(), s = 5; s * s <= a; s += 6) + if (a % s === 0 || a % (s + 2) === 0) + return !1; + return !0; + } + function o(C, x, E) { + for (var D = 1; !x.eq(0); ) + x.mod(2).eq(0) ? (x = x.div(2), C = C.mul(C).mod(E)) : (x = x.sub(1), D = C.mul(D).mod(E)); + return D; + } + var p = n.constructor.clone({ + precision: n.toFixed(0).length * 2 + }); + n = new p(n); + for (var u = 0, f = n.sub(1); f.mod(2).eq(0); ) + f = f.div(2), u += 1; + var l = null; + if (n.lt("3317044064679887385961981")) + l = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41].filter((C) => C < n); + else { + var c = Math.min(n.toNumber() - 2, Math.floor(2 * Math.pow(n.toFixed(0).length * Math.log(10), 2))); + l = []; + for (var h = 2; h <= c; h += 1) + l.push(c); + } + for (var d = 0; d < l.length; d += 1) { + var g = l[d], v = o(n.sub(n).add(g), f, n); + if (!v.eq(1)) { + for (var N = 0, b = v; !b.eq(n.sub(1)); N += 1, b = b.mul(b).mod(n)) + if (N === u - 1) + return !1; + } + } + return !0; + }, + "Array | Matrix": e.referToSelf((r) => (n) => Nt(n, r)) + }); +}), sO = "numeric", oO = ["number", "?bignumber", "?fraction"], El = /* @__PURE__ */ j(sO, oO, (t) => { + var { + number: e, + bignumber: r, + fraction: n + } = t, a = { + string: !0, + number: !0, + BigNumber: !0, + Fraction: !0 + }, s = { + number: (o) => e(o), + BigNumber: r ? (o) => r(o) : Od, + bigint: (o) => BigInt(o), + Fraction: n ? (o) => n(o) : Hw + }; + return function(p) { + var u = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : "number", f = arguments.length > 2 ? arguments[2] : void 0; + if (f !== void 0) + throw new SyntaxError("numeric() takes one or two arguments"); + var l = Vt(p); + if (!(l in a)) + throw new TypeError("Cannot convert " + p + ' of type "' + l + '"; valid input types are ' + Object.keys(a).join(", ")); + if (!(u in s)) + throw new TypeError("Cannot convert " + p + ' to type "' + u + '"; valid output types are ' + Object.keys(s).join(", ")); + return u === l ? p : s[u](p); + }; +}), Uy = "divideScalar", uO = ["typed", "numeric"], Sl = /* @__PURE__ */ j(Uy, uO, (t) => { + var { + typed: e, + numeric: r + } = t; + return e(Uy, { + "number, number": function(a, s) { + return a / s; + }, + "Complex, Complex": function(a, s) { + return a.div(s); + }, + "BigNumber, BigNumber": function(a, s) { + return a.div(s); + }, + "bigint, bigint": function(a, s) { + return a / s; + }, + "Fraction, Fraction": function(a, s) { + return a.div(s); + }, + "Unit, number | Complex | Fraction | BigNumber | Unit": (n, a) => n.divide(a), + "number | Fraction | Complex | BigNumber, Unit": (n, a) => a.divideInto(n) + }); +}), Gy = "pow", lO = ["typed", "config", "identity", "multiply", "matrix", "inv", "fraction", "number", "Complex"], Cl = /* @__PURE__ */ j(Gy, lO, (t) => { + var { + typed: e, + config: r, + identity: n, + multiply: a, + matrix: s, + inv: o, + number: p, + fraction: u, + Complex: f + } = t; + return e(Gy, { + "number, number": l, + "Complex, Complex": function(g, v) { + return g.pow(v); + }, + "BigNumber, BigNumber": function(g, v) { + return v.isInteger() || g >= 0 || r.predictable ? g.pow(v) : new f(g.toNumber(), 0).pow(v.toNumber(), 0); + }, + "bigint, bigint": (d, g) => d ** g, + "Fraction, Fraction": function(g, v) { + var N = g.pow(v); + if (N != null) + return N; + if (r.predictable) + throw new Error("Result of pow is non-rational and cannot be expressed as a fraction"); + return l(g.valueOf(), v.valueOf()); + }, + "Array, number": c, + "Array, BigNumber": function(g, v) { + return c(g, v.toNumber()); + }, + "Matrix, number": h, + "Matrix, BigNumber": function(g, v) { + return h(g, v.toNumber()); + }, + "Unit, number | BigNumber": function(g, v) { + return g.pow(v); + } + }); + function l(d, g) { + if (r.predictable && !Xe(g) && d < 0) + try { + var v = u(g), N = p(v); + if ((g === N || Math.abs((g - N) / g) < 1e-14) && v.d % 2 === 1) + return (v.n % 2 === 0 ? 1 : -1) * Math.pow(-d, g); + } catch { + } + return r.predictable && (d < -1 && g === 1 / 0 || d > -1 && d < 0 && g === -1 / 0) ? NaN : Xe(g) || d >= 0 || r.predictable ? pw(d, g) : d * d < 1 && g === 1 / 0 || d * d > 1 && g === -1 / 0 ? 0 : new f(d, 0).pow(g, 0); + } + function c(d, g) { + if (!Xe(g)) + throw new TypeError("For A^b, b must be an integer (value is " + g + ")"); + var v = gt(d); + if (v.length !== 2) + throw new Error("For A^b, A must be 2 dimensional (A has " + v.length + " dimensions)"); + if (v[0] !== v[1]) + throw new Error("For A^b, A must be square (size is " + v[0] + "x" + v[1] + ")"); + if (g < 0) + try { + return c(o(d), -g); + } catch (C) { + throw C.message === "Cannot calculate inverse, determinant is zero" ? new TypeError("For A^b, when A is not invertible, b must be a positive integer (value is " + g + ")") : C; + } + for (var N = n(v[0]).valueOf(), b = d; g >= 1; ) + (g & 1) === 1 && (N = a(b, N)), g >>= 1, b = a(b, b); + return N; + } + function h(d, g) { + return s(c(d.valueOf(), g)); + } +}), Ta = "Number of decimals in function round must be an integer", Hy = "round", cO = ["typed", "config", "matrix", "equalScalar", "zeros", "BigNumber", "DenseMatrix"], Tl = /* @__PURE__ */ j(Hy, cO, (t) => { + var { + typed: e, + config: r, + matrix: n, + equalScalar: a, + zeros: s, + BigNumber: o, + DenseMatrix: p + } = t, u = Pr({ + typed: e, + equalScalar: a + }), f = br({ + typed: e, + DenseMatrix: p + }), l = zn({ + typed: e + }); + function c(h) { + return Math.abs($s(h).exponent); + } + return e(Hy, { + number: function(d) { + var g = Es(d, c(r.relTol)), v = Lr(d, g, r.relTol, r.absTol) ? g : d; + return Es(v); + }, + "number, number": function(d, g) { + var v = c(r.relTol); + if (g >= v) + return Es(d, g); + var N = Es(d, v), b = Lr(d, N, r.relTol, r.absTol) ? N : d; + return Es(b, g); + }, + "number, BigNumber": function(d, g) { + if (!g.isInteger()) + throw new TypeError(Ta); + return new o(d).toDecimalPlaces(g.toNumber()); + }, + Complex: function(d) { + return d.round(); + }, + "Complex, number": function(d, g) { + if (g % 1) + throw new TypeError(Ta); + return d.round(g); + }, + "Complex, BigNumber": function(d, g) { + if (!g.isInteger()) + throw new TypeError(Ta); + var v = g.toNumber(); + return d.round(v); + }, + BigNumber: function(d) { + var g = new o(d).toDecimalPlaces(c(r.relTol)), v = pn(d, g, r.relTol, r.absTol) ? g : d; + return v.toDecimalPlaces(0); + }, + "BigNumber, BigNumber": function(d, g) { + if (!g.isInteger()) + throw new TypeError(Ta); + var v = c(r.relTol); + if (g >= v) + return d.toDecimalPlaces(g.toNumber()); + var N = d.toDecimalPlaces(v), b = pn(d, N, r.relTol, r.absTol) ? N : d; + return b.toDecimalPlaces(g.toNumber()); + }, + Fraction: function(d) { + return d.round(); + }, + "Fraction, number": function(d, g) { + if (g % 1) + throw new TypeError(Ta); + return d.round(g); + }, + "Fraction, BigNumber": function(d, g) { + if (!g.isInteger()) + throw new TypeError(Ta); + return d.round(g.toNumber()); + }, + "Unit, number, Unit": e.referToSelf((h) => function(d, g, v) { + var N = d.toNumeric(v); + return v.multiply(h(N, g)); + }), + "Unit, BigNumber, Unit": e.referToSelf((h) => (d, g, v) => h(d, g.toNumber(), v)), + "Unit, Unit": e.referToSelf((h) => (d, g) => h(d, 0, g)), + "Array | Matrix, number, Unit": e.referToSelf((h) => (d, g, v) => Nt(d, (N) => h(N, g, v))), + "Array | Matrix, BigNumber, Unit": e.referToSelf((h) => (d, g, v) => h(d, g.toNumber(), v)), + "Array | Matrix, Unit": e.referToSelf((h) => (d, g) => h(d, 0, g)), + "Array | Matrix": e.referToSelf((h) => (d) => Nt(d, h)), + "SparseMatrix, number | BigNumber": e.referToSelf((h) => (d, g) => u(d, g, h, !1)), + "DenseMatrix, number | BigNumber": e.referToSelf((h) => (d, g) => l(d, g, h, !1)), + "Array, number | BigNumber": e.referToSelf((h) => (d, g) => l(n(d), g, h, !1).valueOf()), + "number | Complex | BigNumber | Fraction, SparseMatrix": e.referToSelf((h) => (d, g) => a(d, 0) ? s(g.size(), g.storage()) : f(g, d, h, !0)), + "number | Complex | BigNumber | Fraction, DenseMatrix": e.referToSelf((h) => (d, g) => a(d, 0) ? s(g.size(), g.storage()) : l(g, d, h, !0)), + "number | Complex | BigNumber | Fraction, Array": e.referToSelf((h) => (d, g) => l(n(g), d, h, !0).valueOf()) + }); +}), Qy = "log", fO = ["config", "typed", "divideScalar", "Complex"], _l = /* @__PURE__ */ j(Qy, fO, (t) => { + var { + typed: e, + config: r, + divideScalar: n, + Complex: a + } = t; + return e(Qy, { + number: function(o) { + return o >= 0 || r.predictable ? HT(o) : new a(o, 0).log(); + }, + Complex: function(o) { + return o.log(); + }, + BigNumber: function(o) { + return !o.isNegative() || r.predictable ? o.ln() : new a(o.toNumber(), 0).log(); + }, + "any, any": e.referToSelf((s) => (o, p) => n(s(o), s(p))) + }); +}), Vy = "log1p", pO = ["typed", "config", "divideScalar", "log", "Complex"], Ml = /* @__PURE__ */ j(Vy, pO, (t) => { + var { + typed: e, + config: r, + divideScalar: n, + log: a, + Complex: s + } = t; + return e(Vy, { + number: function(u) { + return u >= -1 || r.predictable ? ZS(u) : o(new s(u, 0)); + }, + Complex: o, + BigNumber: function(u) { + var f = u.plus(1); + return !f.isNegative() || r.predictable ? f.ln() : o(new s(u.toNumber(), 0)); + }, + "Array | Matrix": e.referToSelf((p) => (u) => Nt(u, p)), + "any, any": e.referToSelf((p) => (u, f) => n(p(u), a(f))) + }); + function o(p) { + var u = p.re + 1; + return new s(Math.log(Math.sqrt(u * u + p.im * p.im)), Math.atan2(p.im, u)); + } +}), Wy = "nthRoots", hO = ["config", "typed", "divideScalar", "Complex"], Ol = /* @__PURE__ */ j(Wy, hO, (t) => { + var { + typed: e, + config: r, + divideScalar: n, + Complex: a + } = t, s = [function(u) { + return new a(u, 0); + }, function(u) { + return new a(0, u); + }, function(u) { + return new a(-u, 0); + }, function(u) { + return new a(0, -u); + }]; + function o(p, u) { + if (u < 0) throw new Error("Root must be greater than zero"); + if (u === 0) throw new Error("Root must be non-zero"); + if (u % 1 !== 0) throw new Error("Root must be an integer"); + if (p === 0 || p.abs() === 0) return [new a(0, 0)]; + var f = typeof p == "number", l; + (f || p.re === 0 || p.im === 0) && (f ? l = 2 * +(p < 0) : p.im === 0 ? l = 2 * +(p.re < 0) : l = 2 * +(p.im < 0) + 1); + for (var c = p.arg(), h = p.abs(), d = [], g = Math.pow(h, 1 / u), v = 0; v < u; v++) { + var N = (l + 4 * v) / u; + if (N === Math.round(N)) { + d.push(s[N % 4](g)); + continue; + } + d.push(new a({ + r: g, + phi: (c + 2 * Math.PI * v) / u + })); + } + return d; + } + return e(Wy, { + Complex: function(u) { + return o(u, 2); + }, + "Complex, number": o + }); +}), jy = "dotPow", mO = ["typed", "equalScalar", "matrix", "pow", "DenseMatrix", "concat"], Fl = /* @__PURE__ */ j(jy, mO, (t) => { + var { + typed: e, + equalScalar: r, + matrix: n, + pow: a, + DenseMatrix: s, + concat: o + } = t, p = rn({ + typed: e + }), u = Jn({ + typed: e, + DenseMatrix: s + }), f = Pr({ + typed: e, + equalScalar: r + }), l = br({ + typed: e, + DenseMatrix: s + }), c = Jt({ + typed: e, + matrix: n, + concat: o + }), h = {}; + for (var d in a.signatures) + Object.prototype.hasOwnProperty.call(a.signatures, d) && !d.includes("Matrix") && !d.includes("Array") && (h[d] = a.signatures[d]); + var g = e(h); + return e(jy, c({ + elop: g, + SS: u, + DS: p, + Ss: f, + sS: l + })); +}), Zy = "dotDivide", dO = ["typed", "matrix", "equalScalar", "divideScalar", "DenseMatrix", "concat"], ql = /* @__PURE__ */ j(Zy, dO, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + divideScalar: a, + DenseMatrix: s, + concat: o + } = t, p = Un({ + typed: e, + equalScalar: n + }), u = rn({ + typed: e + }), f = Jn({ + typed: e, + DenseMatrix: s + }), l = Pr({ + typed: e, + equalScalar: n + }), c = br({ + typed: e, + DenseMatrix: s + }), h = Jt({ + typed: e, + matrix: r, + concat: o + }); + return e(Zy, h({ + elop: a, + SS: f, + DS: u, + SD: p, + Ss: l, + sS: c + })); +}); +function to(t) { + var { + DenseMatrix: e + } = t; + return function(n, a, s) { + var o = n.size(); + if (o.length !== 2) + throw new RangeError("Matrix must be two dimensional (size: " + Dt(o) + ")"); + var p = o[0], u = o[1]; + if (p !== u) + throw new RangeError("Matrix must be square (size: " + Dt(o) + ")"); + var f = []; + if (tt(a)) { + var l = a.size(), c = a._data; + if (l.length === 1) { + if (l[0] !== p) + throw new RangeError("Dimension mismatch. Matrix columns must match vector length."); + for (var h = 0; h < p; h++) + f[h] = [c[h]]; + return new e({ + data: f, + size: [p, 1], + datatype: a._datatype + }); + } + if (l.length === 2) { + if (l[0] !== p || l[1] !== 1) + throw new RangeError("Dimension mismatch. Matrix columns must match vector length."); + if (Ra(a)) { + if (s) { + f = []; + for (var d = 0; d < p; d++) + f[d] = [c[d][0]]; + return new e({ + data: f, + size: [p, 1], + datatype: a._datatype + }); + } + return a; + } + if (oi(a)) { + for (var g = 0; g < p; g++) + f[g] = [0]; + for (var v = a._values, N = a._index, b = a._ptr, C = b[1], x = b[0]; x < C; x++) { + var E = N[x]; + f[E][0] = v[x]; + } + return new e({ + data: f, + size: [p, 1], + datatype: a._datatype + }); + } + } + throw new RangeError("Dimension mismatch. The right side has to be either 1- or 2-dimensional vector."); + } + if (Rt(a)) { + var D = gt(a); + if (D.length === 1) { + if (D[0] !== p) + throw new RangeError("Dimension mismatch. Matrix columns must match vector length."); + for (var A = 0; A < p; A++) + f[A] = [a[A]]; + return new e({ + data: f, + size: [p, 1] + }); + } + if (D.length === 2) { + if (D[0] !== p || D[1] !== 1) + throw new RangeError("Dimension mismatch. Matrix columns must match vector length."); + for (var M = 0; M < p; M++) + f[M] = [a[M][0]]; + return new e({ + data: f, + size: [p, 1] + }); + } + throw new RangeError("Dimension mismatch. The right side has to be either 1- or 2-dimensional vector."); + } + }; +} +var Jy = "lsolve", vO = ["typed", "matrix", "divideScalar", "multiplyScalar", "subtractScalar", "equalScalar", "DenseMatrix"], Il = /* @__PURE__ */ j(Jy, vO, (t) => { + var { + typed: e, + matrix: r, + divideScalar: n, + multiplyScalar: a, + subtractScalar: s, + equalScalar: o, + DenseMatrix: p + } = t, u = to({ + DenseMatrix: p + }); + return e(Jy, { + "SparseMatrix, Array | Matrix": function(h, d) { + return l(h, d); + }, + "DenseMatrix, Array | Matrix": function(h, d) { + return f(h, d); + }, + "Array, Array | Matrix": function(h, d) { + var g = r(h), v = f(g, d); + return v.valueOf(); + } + }); + function f(c, h) { + h = u(c, h, !0); + for (var d = h._data, g = c._size[0], v = c._size[1], N = [], b = c._data, C = 0; C < v; C++) { + var x = d[C][0] || 0, E = void 0; + if (o(x, 0)) + E = 0; + else { + var D = b[C][C]; + if (o(D, 0)) + throw new Error("Linear system cannot be solved since matrix is singular"); + E = n(x, D); + for (var A = C + 1; A < g; A++) + d[A] = [s(d[A][0] || 0, a(E, b[A][C]))]; + } + N[C] = [E]; + } + return new p({ + data: N, + size: [g, 1] + }); + } + function l(c, h) { + h = u(c, h, !0); + for (var d = h._data, g = c._size[0], v = c._size[1], N = c._values, b = c._index, C = c._ptr, x = [], E = 0; E < v; E++) { + var D = d[E][0] || 0; + if (o(D, 0)) + x[E] = [0]; + else { + for (var A = 0, M = [], _ = [], O = C[E], T = C[E + 1], I = O; I < T; I++) { + var q = b[I]; + q === E ? A = N[I] : q > E && (M.push(N[I]), _.push(q)); + } + if (o(A, 0)) + throw new Error("Linear system cannot be solved since matrix is singular"); + for (var $ = n(D, A), U = 0, k = _.length; U < k; U++) { + var L = _[U]; + d[L] = [s(d[L][0] || 0, a($, M[U]))]; + } + x[E] = [$]; + } + } + return new p({ + data: x, + size: [g, 1] + }); + } +}), Yy = "usolve", gO = ["typed", "matrix", "divideScalar", "multiplyScalar", "subtractScalar", "equalScalar", "DenseMatrix"], Bl = /* @__PURE__ */ j(Yy, gO, (t) => { + var { + typed: e, + matrix: r, + divideScalar: n, + multiplyScalar: a, + subtractScalar: s, + equalScalar: o, + DenseMatrix: p + } = t, u = to({ + DenseMatrix: p + }); + return e(Yy, { + "SparseMatrix, Array | Matrix": function(h, d) { + return l(h, d); + }, + "DenseMatrix, Array | Matrix": function(h, d) { + return f(h, d); + }, + "Array, Array | Matrix": function(h, d) { + var g = r(h), v = f(g, d); + return v.valueOf(); + } + }); + function f(c, h) { + h = u(c, h, !0); + for (var d = h._data, g = c._size[0], v = c._size[1], N = [], b = c._data, C = v - 1; C >= 0; C--) { + var x = d[C][0] || 0, E = void 0; + if (o(x, 0)) + E = 0; + else { + var D = b[C][C]; + if (o(D, 0)) + throw new Error("Linear system cannot be solved since matrix is singular"); + E = n(x, D); + for (var A = C - 1; A >= 0; A--) + d[A] = [s(d[A][0] || 0, a(E, b[A][C]))]; + } + N[C] = [E]; + } + return new p({ + data: N, + size: [g, 1] + }); + } + function l(c, h) { + h = u(c, h, !0); + for (var d = h._data, g = c._size[0], v = c._size[1], N = c._values, b = c._index, C = c._ptr, x = [], E = v - 1; E >= 0; E--) { + var D = d[E][0] || 0; + if (o(D, 0)) + x[E] = [0]; + else { + for (var A = 0, M = [], _ = [], O = C[E], T = C[E + 1], I = T - 1; I >= O; I--) { + var q = b[I]; + q === E ? A = N[I] : q < E && (M.push(N[I]), _.push(q)); + } + if (o(A, 0)) + throw new Error("Linear system cannot be solved since matrix is singular"); + for (var $ = n(D, A), U = 0, k = _.length; U < k; U++) { + var L = _[U]; + d[L] = [s(d[L][0], a($, M[U]))]; + } + x[E] = [$]; + } + } + return new p({ + data: x, + size: [g, 1] + }); + } +}), Xy = "lsolveAll", yO = ["typed", "matrix", "divideScalar", "multiplyScalar", "subtractScalar", "equalScalar", "DenseMatrix"], Rl = /* @__PURE__ */ j(Xy, yO, (t) => { + var { + typed: e, + matrix: r, + divideScalar: n, + multiplyScalar: a, + subtractScalar: s, + equalScalar: o, + DenseMatrix: p + } = t, u = to({ + DenseMatrix: p + }); + return e(Xy, { + "SparseMatrix, Array | Matrix": function(h, d) { + return l(h, d); + }, + "DenseMatrix, Array | Matrix": function(h, d) { + return f(h, d); + }, + "Array, Array | Matrix": function(h, d) { + var g = r(h), v = f(g, d); + return v.map((N) => N.valueOf()); + } + }); + function f(c, h) { + for (var d = [u(c, h, !0)._data.map((_) => _[0])], g = c._data, v = c._size[0], N = c._size[1], b = 0; b < N; b++) + for (var C = d.length, x = 0; x < C; x++) { + var E = d[x]; + if (o(g[b][b], 0)) + if (o(E[b], 0)) { + if (x === 0) { + var A = [...E]; + A[b] = 1; + for (var M = b + 1; M < N; M++) + A[M] = s(A[M], g[M][b]); + d.push(A); + } + } else { + if (x === 0) + return []; + d.splice(x, 1), x -= 1, C -= 1; + } + else { + E[b] = n(E[b], g[b][b]); + for (var D = b + 1; D < N; D++) + E[D] = s(E[D], a(E[b], g[D][b])); + } + } + return d.map((_) => new p({ + data: _.map((O) => [O]), + size: [v, 1] + })); + } + function l(c, h) { + for (var d = [u(c, h, !0)._data.map((le) => le[0])], g = c._size[0], v = c._size[1], N = c._values, b = c._index, C = c._ptr, x = 0; x < v; x++) + for (var E = d.length, D = 0; D < E; D++) { + for (var A = d[D], M = [], _ = [], O = C[x], T = C[x + 1], I = 0, q = O; q < T; q++) { + var $ = b[q]; + $ === x ? I = N[q] : $ > x && (M.push(N[q]), _.push($)); + } + if (o(I, 0)) + if (o(A[x], 0)) { + if (D === 0) { + var R = [...A]; + R[x] = 1; + for (var G = 0, P = _.length; G < P; G++) { + var W = _[G]; + R[W] = s(R[W], M[G]); + } + d.push(R); + } + } else { + if (D === 0) + return []; + d.splice(D, 1), D -= 1, E -= 1; + } + else { + A[x] = n(A[x], I); + for (var U = 0, k = _.length; U < k; U++) { + var L = _[U]; + A[L] = s(A[L], a(A[x], M[U])); + } + } + } + return d.map((le) => new p({ + data: le.map((Z) => [Z]), + size: [g, 1] + })); + } +}), Ky = "usolveAll", xO = ["typed", "matrix", "divideScalar", "multiplyScalar", "subtractScalar", "equalScalar", "DenseMatrix"], Ll = /* @__PURE__ */ j(Ky, xO, (t) => { + var { + typed: e, + matrix: r, + divideScalar: n, + multiplyScalar: a, + subtractScalar: s, + equalScalar: o, + DenseMatrix: p + } = t, u = to({ + DenseMatrix: p + }); + return e(Ky, { + "SparseMatrix, Array | Matrix": function(h, d) { + return l(h, d); + }, + "DenseMatrix, Array | Matrix": function(h, d) { + return f(h, d); + }, + "Array, Array | Matrix": function(h, d) { + var g = r(h), v = f(g, d); + return v.map((N) => N.valueOf()); + } + }); + function f(c, h) { + for (var d = [u(c, h, !0)._data.map((_) => _[0])], g = c._data, v = c._size[0], N = c._size[1], b = N - 1; b >= 0; b--) + for (var C = d.length, x = 0; x < C; x++) { + var E = d[x]; + if (o(g[b][b], 0)) + if (o(E[b], 0)) { + if (x === 0) { + var A = [...E]; + A[b] = 1; + for (var M = b - 1; M >= 0; M--) + A[M] = s(A[M], g[M][b]); + d.push(A); + } + } else { + if (x === 0) + return []; + d.splice(x, 1), x -= 1, C -= 1; + } + else { + E[b] = n(E[b], g[b][b]); + for (var D = b - 1; D >= 0; D--) + E[D] = s(E[D], a(E[b], g[D][b])); + } + } + return d.map((_) => new p({ + data: _.map((O) => [O]), + size: [v, 1] + })); + } + function l(c, h) { + for (var d = [u(c, h, !0)._data.map((le) => le[0])], g = c._size[0], v = c._size[1], N = c._values, b = c._index, C = c._ptr, x = v - 1; x >= 0; x--) + for (var E = d.length, D = 0; D < E; D++) { + for (var A = d[D], M = [], _ = [], O = C[x], T = C[x + 1], I = 0, q = T - 1; q >= O; q--) { + var $ = b[q]; + $ === x ? I = N[q] : $ < x && (M.push(N[q]), _.push($)); + } + if (o(I, 0)) + if (o(A[x], 0)) { + if (D === 0) { + var R = [...A]; + R[x] = 1; + for (var G = 0, P = _.length; G < P; G++) { + var W = _[G]; + R[W] = s(R[W], M[G]); + } + d.push(R); + } + } else { + if (D === 0) + return []; + d.splice(D, 1), D -= 1, E -= 1; + } + else { + A[x] = n(A[x], I); + for (var U = 0, k = _.length; U < k; U++) { + var L = _[U]; + A[L] = s(A[L], a(A[x], M[U])); + } + } + } + return d.map((le) => new p({ + data: le.map((Z) => [Z]), + size: [g, 1] + })); + } +}), bO = "matAlgo08xS0Sid", wO = ["typed", "equalScalar"], Fd = /* @__PURE__ */ j(bO, wO, (t) => { + var { + typed: e, + equalScalar: r + } = t; + return function(a, s, o) { + var p = a._values, u = a._index, f = a._ptr, l = a._size, c = a._datatype || a._data === void 0 ? a._datatype : a.getDataType(), h = s._values, d = s._index, g = s._ptr, v = s._size, N = s._datatype || s._data === void 0 ? s._datatype : s.getDataType(); + if (l.length !== v.length) + throw new xt(l.length, v.length); + if (l[0] !== v[0] || l[1] !== v[1]) + throw new RangeError("Dimension mismatch. Matrix A (" + l + ") must match Matrix B (" + v + ")"); + if (!p || !h) + throw new Error("Cannot perform operation on Pattern Sparse Matrices"); + var b = l[0], C = l[1], x, E = r, D = 0, A = o; + typeof c == "string" && c === N && c !== "mixed" && (x = c, E = e.find(r, [x, x]), D = e.convert(0, x), A = e.find(o, [x, x])); + for (var M = [], _ = [], O = [], T = [], I = [], q, $, U, k, L = 0; L < C; L++) { + O[L] = _.length; + var R = L + 1; + for ($ = f[L], U = f[L + 1], q = $; q < U; q++) + k = u[q], I[k] = R, T[k] = p[q], _.push(k); + for ($ = g[L], U = g[L + 1], q = $; q < U; q++) + k = d[q], I[k] === R && (T[k] = A(T[k], h[q])); + for (q = O[L]; q < _.length; ) { + k = _[q]; + var G = T[k]; + E(G, D) ? _.splice(q, 1) : (M.push(G), q++); + } + } + return O[C] = _.length, a.createSparseMatrix({ + values: M, + index: _, + ptr: O, + size: [b, C], + datatype: c === a._datatype && N === s._datatype ? x : void 0 + }); + }; +}), qd = /* @__PURE__ */ j("useMatrixForArrayScalar", ["typed", "matrix"], (t) => { + var { + typed: e, + matrix: r + } = t; + return { + "Array, number": e.referTo("DenseMatrix, number", (n) => (a, s) => n(r(a), s).valueOf()), + "Array, BigNumber": e.referTo("DenseMatrix, BigNumber", (n) => (a, s) => n(r(a), s).valueOf()), + "number, Array": e.referTo("number, DenseMatrix", (n) => (a, s) => n(a, r(s)).valueOf()), + "BigNumber, Array": e.referTo("BigNumber, DenseMatrix", (n) => (a, s) => n(a, r(s)).valueOf()) + }; +}), ex = "leftShift", NO = ["typed", "matrix", "equalScalar", "zeros", "DenseMatrix", "concat"], Pl = /* @__PURE__ */ j(ex, NO, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + zeros: a, + DenseMatrix: s, + concat: o + } = t, p = Ri({ + typed: e + }), u = Un({ + typed: e, + equalScalar: n + }), f = Fd({ + typed: e, + equalScalar: n + }), l = la({ + typed: e, + DenseMatrix: s + }), c = Pr({ + typed: e, + equalScalar: n + }), h = zn({ + typed: e + }), d = Jt({ + typed: e, + matrix: r, + concat: o + }), g = qd({ + typed: e, + matrix: r + }); + return e(ex, { + "number, number": gw, + "BigNumber, BigNumber": G_, + "bigint, bigint": (v, N) => v << N, + "SparseMatrix, number | BigNumber": e.referToSelf((v) => (N, b) => n(b, 0) ? N.clone() : c(N, b, v, !1)), + "DenseMatrix, number | BigNumber": e.referToSelf((v) => (N, b) => n(b, 0) ? N.clone() : h(N, b, v, !1)), + "number | BigNumber, SparseMatrix": e.referToSelf((v) => (N, b) => n(N, 0) ? a(b.size(), b.storage()) : l(b, N, v, !0)), + "number | BigNumber, DenseMatrix": e.referToSelf((v) => (N, b) => n(N, 0) ? a(b.size(), b.storage()) : h(b, N, v, !0)) + }, g, d({ + SS: f, + DS: p, + SD: u + })); +}), tx = "rightArithShift", DO = ["typed", "matrix", "equalScalar", "zeros", "DenseMatrix", "concat"], kl = /* @__PURE__ */ j(tx, DO, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + zeros: a, + DenseMatrix: s, + concat: o + } = t, p = Ri({ + typed: e + }), u = Un({ + typed: e, + equalScalar: n + }), f = Fd({ + typed: e, + equalScalar: n + }), l = la({ + typed: e, + DenseMatrix: s + }), c = Pr({ + typed: e, + equalScalar: n + }), h = zn({ + typed: e + }), d = Jt({ + typed: e, + matrix: r, + concat: o + }), g = qd({ + typed: e, + matrix: r + }); + return e(tx, { + "number, number": yw, + "BigNumber, BigNumber": H_, + "bigint, bigint": (v, N) => v >> N, + "SparseMatrix, number | BigNumber": e.referToSelf((v) => (N, b) => n(b, 0) ? N.clone() : c(N, b, v, !1)), + "DenseMatrix, number | BigNumber": e.referToSelf((v) => (N, b) => n(b, 0) ? N.clone() : h(N, b, v, !1)), + "number | BigNumber, SparseMatrix": e.referToSelf((v) => (N, b) => n(N, 0) ? a(b.size(), b.storage()) : l(b, N, v, !0)), + "number | BigNumber, DenseMatrix": e.referToSelf((v) => (N, b) => n(N, 0) ? a(b.size(), b.storage()) : h(b, N, v, !0)) + }, g, d({ + SS: f, + DS: p, + SD: u + })); +}), rx = "rightLogShift", AO = ["typed", "matrix", "equalScalar", "zeros", "DenseMatrix", "concat"], $l = /* @__PURE__ */ j(rx, AO, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + zeros: a, + DenseMatrix: s, + concat: o + } = t, p = Ri({ + typed: e + }), u = Un({ + typed: e, + equalScalar: n + }), f = Fd({ + typed: e, + equalScalar: n + }), l = la({ + typed: e, + DenseMatrix: s + }), c = Pr({ + typed: e, + equalScalar: n + }), h = zn({ + typed: e + }), d = Jt({ + typed: e, + matrix: r, + concat: o + }), g = qd({ + typed: e, + matrix: r + }); + return e(rx, { + "number, number": xw, + // 'BigNumber, BigNumber': ..., // TODO: implement BigNumber support for rightLogShift + "SparseMatrix, number | BigNumber": e.referToSelf((v) => (N, b) => n(b, 0) ? N.clone() : c(N, b, v, !1)), + "DenseMatrix, number | BigNumber": e.referToSelf((v) => (N, b) => n(b, 0) ? N.clone() : h(N, b, v, !1)), + "number | BigNumber, SparseMatrix": e.referToSelf((v) => (N, b) => n(N, 0) ? a(b.size(), b.storage()) : l(b, N, v, !0)), + "number | BigNumber, DenseMatrix": e.referToSelf((v) => (N, b) => n(N, 0) ? a(b.size(), b.storage()) : h(b, N, v, !0)) + }, g, d({ + SS: f, + DS: p, + SD: u + })); +}), nx = "and", EO = ["typed", "matrix", "equalScalar", "zeros", "not", "concat"], ro = /* @__PURE__ */ j(nx, EO, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + zeros: a, + not: s, + concat: o + } = t, p = Un({ + typed: e, + equalScalar: n + }), u = D0({ + typed: e, + equalScalar: n + }), f = Pr({ + typed: e, + equalScalar: n + }), l = zn({ + typed: e + }), c = Jt({ + typed: e, + matrix: r, + concat: o + }); + return e(nx, { + "number, number": ed, + "Complex, Complex": function(d, g) { + return (d.re !== 0 || d.im !== 0) && (g.re !== 0 || g.im !== 0); + }, + "BigNumber, BigNumber": function(d, g) { + return !d.isZero() && !g.isZero() && !d.isNaN() && !g.isNaN(); + }, + "bigint, bigint": ed, + "Unit, Unit": e.referToSelf((h) => (d, g) => h(d.value || 0, g.value || 0)), + "SparseMatrix, any": e.referToSelf((h) => (d, g) => s(g) ? a(d.size(), d.storage()) : f(d, g, h, !1)), + "DenseMatrix, any": e.referToSelf((h) => (d, g) => s(g) ? a(d.size(), d.storage()) : l(d, g, h, !1)), + "any, SparseMatrix": e.referToSelf((h) => (d, g) => s(d) ? a(d.size(), d.storage()) : f(g, d, h, !0)), + "any, DenseMatrix": e.referToSelf((h) => (d, g) => s(d) ? a(d.size(), d.storage()) : l(g, d, h, !0)), + "Array, any": e.referToSelf((h) => (d, g) => h(r(d), g).valueOf()), + "any, Array": e.referToSelf((h) => (d, g) => h(d, r(g)).valueOf()) + }, c({ + SS: u, + DS: p + })); +}), pu = "compare", SO = ["typed", "config", "matrix", "equalScalar", "BigNumber", "Fraction", "DenseMatrix", "concat"], zl = /* @__PURE__ */ j(pu, SO, (t) => { + var { + typed: e, + config: r, + equalScalar: n, + matrix: a, + BigNumber: s, + Fraction: o, + DenseMatrix: p, + concat: u + } = t, f = rn({ + typed: e + }), l = w0({ + typed: e, + equalScalar: n + }), c = br({ + typed: e, + DenseMatrix: p + }), h = Jt({ + typed: e, + matrix: a, + concat: u + }), d = Xa({ + typed: e + }); + return e(pu, CO({ + typed: e, + config: r + }), { + "boolean, boolean": function(v, N) { + return v === N ? 0 : v > N ? 1 : -1; + }, + "BigNumber, BigNumber": function(v, N) { + return pn(v, N, r.relTol, r.absTol) ? new s(0) : new s(v.cmp(N)); + }, + "bigint, bigint": function(v, N) { + return v === N ? 0n : v > N ? 1n : -1n; + }, + "Fraction, Fraction": function(v, N) { + return new o(v.compare(N)); + }, + "Complex, Complex": function() { + throw new TypeError("No ordering relation is defined for complex numbers"); + } + }, d, h({ + SS: l, + DS: f, + Ss: c + })); +}), CO = /* @__PURE__ */ j(pu, ["typed", "config"], (t) => { + var { + typed: e, + config: r + } = t; + return e(pu, { + "number, number": function(a, s) { + return Lr(a, s, r.relTol, r.absTol) ? 0 : a > s ? 1 : -1; + } + }); +}), TO = function t(e, r) { + var n = /(^([+\-]?(?:0|[1-9]\d*)(?:\.\d*)?(?:[eE][+\-]?\d+)?)?$|^0x[0-9a-f]+$|\d+)/gi, a = /(^[ ]*|[ ]*$)/g, s = /(^([\w ]+,?[\w ]+)?[\w ]+,?[\w ]+\d+:\d+(:\d+)?[\w ]?|^\d{1,4}[\/\-]\d{1,4}[\/\-]\d{1,4}|^\w+, \w+ \d+, \d{4})/, o = /^0x[0-9a-f]+$/i, p = /^0/, u = function(x) { + return t.insensitive && ("" + x).toLowerCase() || "" + x; + }, f = u(e).replace(a, "") || "", l = u(r).replace(a, "") || "", c = f.replace(n, "\0$1\0").replace(/\0$/, "").replace(/^\0/, "").split("\0"), h = l.replace(n, "\0$1\0").replace(/\0$/, "").replace(/^\0/, "").split("\0"), d = parseInt(f.match(o), 16) || c.length !== 1 && f.match(s) && Date.parse(f), g = parseInt(l.match(o), 16) || d && l.match(s) && Date.parse(l) || null, v, N; + if (g) { + if (d < g) + return -1; + if (d > g) + return 1; + } + for (var b = 0, C = Math.max(c.length, h.length); b < C; b++) { + if (v = !(c[b] || "").match(p) && parseFloat(c[b]) || c[b] || 0, N = !(h[b] || "").match(p) && parseFloat(h[b]) || h[b] || 0, isNaN(v) !== isNaN(N)) + return isNaN(v) ? 1 : -1; + if (typeof v != typeof N && (v += "", N += ""), v < N) + return -1; + if (v > N) + return 1; + } + return 0; +}; +const _a = /* @__PURE__ */ zs(TO); +var ix = "compareNatural", _O = ["typed", "compare"], Ul = /* @__PURE__ */ j(ix, _O, (t) => { + var { + typed: e, + compare: r + } = t, n = r.signatures["boolean,boolean"]; + return e(ix, { + "any, any": a + }); + function a(u, f) { + var l = Vt(u), c = Vt(f), h; + if ((l === "number" || l === "BigNumber" || l === "Fraction") && (c === "number" || c === "BigNumber" || c === "Fraction")) + return h = r(u, f), h.toString() !== "0" ? h > 0 ? 1 : -1 : _a(l, c); + var d = ["Array", "DenseMatrix", "SparseMatrix"]; + if (d.includes(l) || d.includes(c)) + return h = s(a, u, f), h !== 0 ? h : _a(l, c); + if (l !== c) + return _a(l, c); + if (l === "Complex") + return MO(u, f); + if (l === "Unit") + return u.equalBase(f) ? a(u.value, f.value) : o(a, u.formatUnits(), f.formatUnits()); + if (l === "boolean") + return n(u, f); + if (l === "string") + return _a(u, f); + if (l === "Object") + return p(a, u, f); + if (l === "null" || l === "undefined") + return 0; + throw new TypeError('Unsupported type of value "' + l + '"'); + } + function s(u, f, l) { + return oi(f) && oi(l) ? o(u, f.toJSON().values, l.toJSON().values) : oi(f) ? s(u, f.toArray(), l) : oi(l) ? s(u, f, l.toArray()) : Ra(f) ? s(u, f.toJSON().data, l) : Ra(l) ? s(u, f, l.toJSON().data) : Array.isArray(f) ? Array.isArray(l) ? o(u, f, l) : s(u, f, [l]) : s(u, [f], l); + } + function o(u, f, l) { + for (var c = 0, h = Math.min(f.length, l.length); c < h; c++) { + var d = u(f[c], l[c]); + if (d !== 0) + return d; + } + return f.length > l.length ? 1 : f.length < l.length ? -1 : 0; + } + function p(u, f, l) { + var c = Object.keys(f), h = Object.keys(l); + c.sort(_a), h.sort(_a); + var d = o(u, c, h); + if (d !== 0) + return d; + for (var g = 0; g < c.length; g++) { + var v = u(f[c[g]], l[h[g]]); + if (v !== 0) + return v; + } + return 0; + } +}); +function MO(t, e) { + return t.re > e.re ? 1 : t.re < e.re ? -1 : t.im > e.im ? 1 : t.im < e.im ? -1 : 0; +} +var ax = "compareText", OO = ["typed", "matrix", "concat"]; +Zm.signature = "any, any"; +var Gl = /* @__PURE__ */ j(ax, OO, (t) => { + var { + typed: e, + matrix: r, + concat: n + } = t, a = Jt({ + typed: e, + matrix: r, + concat: n + }); + return e(ax, Zm, a({ + elop: Zm, + Ds: !0 + })); +}), hu = "equal", FO = ["typed", "matrix", "equalScalar", "DenseMatrix", "concat"], Hl = /* @__PURE__ */ j(hu, FO, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + DenseMatrix: a, + concat: s + } = t, o = rn({ + typed: e + }), p = Jn({ + typed: e, + DenseMatrix: a + }), u = br({ + typed: e, + DenseMatrix: a + }), f = Jt({ + typed: e, + matrix: r, + concat: s + }); + return e(hu, qO({ + typed: e, + equalScalar: n + }), f({ + elop: n, + SS: p, + DS: o, + Ss: u + })); +}), qO = j(hu, ["typed", "equalScalar"], (t) => { + var { + typed: e, + equalScalar: r + } = t; + return e(hu, { + "any, any": function(a, s) { + return a === null ? s === null : s === null ? a === null : a === void 0 ? s === void 0 : s === void 0 ? a === void 0 : r(a, s); + } + }); +}), sx = "equalText", IO = ["typed", "compareText", "isZero"], Ql = /* @__PURE__ */ j(sx, IO, (t) => { + var { + typed: e, + compareText: r, + isZero: n + } = t; + return e(sx, { + "any, any": function(s, o) { + return n(r(s, o)); + } + }); +}), mu = "smaller", BO = ["typed", "config", "matrix", "DenseMatrix", "concat"], Vl = /* @__PURE__ */ j(mu, BO, (t) => { + var { + typed: e, + config: r, + matrix: n, + DenseMatrix: a, + concat: s + } = t, o = rn({ + typed: e + }), p = Jn({ + typed: e, + DenseMatrix: a + }), u = br({ + typed: e, + DenseMatrix: a + }), f = Jt({ + typed: e, + matrix: n, + concat: s + }), l = Xa({ + typed: e + }); + return e(mu, RO({ + typed: e, + config: r + }), { + "boolean, boolean": (c, h) => c < h, + "BigNumber, BigNumber": function(h, d) { + return h.lt(d) && !pn(h, d, r.relTol, r.absTol); + }, + "bigint, bigint": (c, h) => c < h, + "Fraction, Fraction": (c, h) => c.compare(h) === -1, + "Complex, Complex": function(h, d) { + throw new TypeError("No ordering relation is defined for complex numbers"); + } + }, l, f({ + SS: p, + DS: o, + Ss: u + })); +}), RO = /* @__PURE__ */ j(mu, ["typed", "config"], (t) => { + var { + typed: e, + config: r + } = t; + return e(mu, { + "number, number": function(a, s) { + return a < s && !Lr(a, s, r.relTol, r.absTol); + } + }); +}), du = "smallerEq", LO = ["typed", "config", "matrix", "DenseMatrix", "concat"], Wl = /* @__PURE__ */ j(du, LO, (t) => { + var { + typed: e, + config: r, + matrix: n, + DenseMatrix: a, + concat: s + } = t, o = rn({ + typed: e + }), p = Jn({ + typed: e, + DenseMatrix: a + }), u = br({ + typed: e, + DenseMatrix: a + }), f = Jt({ + typed: e, + matrix: n, + concat: s + }), l = Xa({ + typed: e + }); + return e(du, PO({ + typed: e, + config: r + }), { + "boolean, boolean": (c, h) => c <= h, + "BigNumber, BigNumber": function(h, d) { + return h.lte(d) || pn(h, d, r.relTol, r.absTol); + }, + "bigint, bigint": (c, h) => c <= h, + "Fraction, Fraction": (c, h) => c.compare(h) !== 1, + "Complex, Complex": function() { + throw new TypeError("No ordering relation is defined for complex numbers"); + } + }, l, f({ + SS: p, + DS: o, + Ss: u + })); +}), PO = /* @__PURE__ */ j(du, ["typed", "config"], (t) => { + var { + typed: e, + config: r + } = t; + return e(du, { + "number, number": function(a, s) { + return a <= s || Lr(a, s, r.relTol, r.absTol); + } + }); +}), vu = "larger", kO = ["typed", "config", "matrix", "DenseMatrix", "concat"], jl = /* @__PURE__ */ j(vu, kO, (t) => { + var { + typed: e, + config: r, + matrix: n, + DenseMatrix: a, + concat: s + } = t, o = rn({ + typed: e + }), p = Jn({ + typed: e, + DenseMatrix: a + }), u = br({ + typed: e, + DenseMatrix: a + }), f = Jt({ + typed: e, + matrix: n, + concat: s + }), l = Xa({ + typed: e + }); + return e(vu, $O({ + typed: e, + config: r + }), { + "boolean, boolean": (c, h) => c > h, + "BigNumber, BigNumber": function(h, d) { + return h.gt(d) && !pn(h, d, r.relTol, r.absTol); + }, + "bigint, bigint": (c, h) => c > h, + "Fraction, Fraction": (c, h) => c.compare(h) === 1, + "Complex, Complex": function() { + throw new TypeError("No ordering relation is defined for complex numbers"); + } + }, l, f({ + SS: p, + DS: o, + Ss: u + })); +}), $O = /* @__PURE__ */ j(vu, ["typed", "config"], (t) => { + var { + typed: e, + config: r + } = t; + return e(vu, { + "number, number": function(a, s) { + return a > s && !Lr(a, s, r.relTol, r.absTol); + } + }); +}), gu = "largerEq", zO = ["typed", "config", "matrix", "DenseMatrix", "concat"], Zl = /* @__PURE__ */ j(gu, zO, (t) => { + var { + typed: e, + config: r, + matrix: n, + DenseMatrix: a, + concat: s + } = t, o = rn({ + typed: e + }), p = Jn({ + typed: e, + DenseMatrix: a + }), u = br({ + typed: e, + DenseMatrix: a + }), f = Jt({ + typed: e, + matrix: n, + concat: s + }), l = Xa({ + typed: e + }); + return e(gu, UO({ + typed: e, + config: r + }), { + "boolean, boolean": (c, h) => c >= h, + "BigNumber, BigNumber": function(h, d) { + return h.gte(d) || pn(h, d, r.relTol, r.absTol); + }, + "bigint, bigint": function(h, d) { + return h >= d; + }, + "Fraction, Fraction": (c, h) => c.compare(h) !== -1, + "Complex, Complex": function() { + throw new TypeError("No ordering relation is defined for complex numbers"); + } + }, l, f({ + SS: p, + DS: o, + Ss: u + })); +}), UO = /* @__PURE__ */ j(gu, ["typed", "config"], (t) => { + var { + typed: e, + config: r + } = t; + return e(gu, { + "number, number": function(a, s) { + return a >= s || Lr(a, s, r.relTol, r.absTol); + } + }); +}), ox = "deepEqual", GO = ["typed", "equal"], Jl = /* @__PURE__ */ j(ox, GO, (t) => { + var { + typed: e, + equal: r + } = t; + return e(ox, { + "any, any": function(s, o) { + return n(s.valueOf(), o.valueOf()); + } + }); + function n(a, s) { + if (Array.isArray(a)) + if (Array.isArray(s)) { + var o = a.length; + if (o !== s.length) + return !1; + for (var p = 0; p < o; p++) + if (!n(a[p], s[p])) + return !1; + return !0; + } else + return !1; + else + return Array.isArray(s) ? !1 : r(a, s); + } +}), yu = "unequal", HO = ["typed", "config", "equalScalar", "matrix", "DenseMatrix", "concat"], Yl = /* @__PURE__ */ j(yu, HO, (t) => { + var { + typed: e, + config: r, + equalScalar: n, + matrix: a, + DenseMatrix: s, + concat: o + } = t, p = rn({ + typed: e + }), u = Jn({ + typed: e, + DenseMatrix: s + }), f = br({ + typed: e, + DenseMatrix: s + }), l = Jt({ + typed: e, + matrix: a, + concat: o + }); + return e(yu, QO({ + typed: e, + equalScalar: n + }), l({ + elop: c, + SS: u, + DS: p, + Ss: f + })); + function c(h, d) { + return !n(h, d); + } +}), QO = j(yu, ["typed", "equalScalar"], (t) => { + var { + typed: e, + equalScalar: r + } = t; + return e(yu, { + "any, any": function(a, s) { + return a === null ? s !== null : s === null ? a !== null : a === void 0 ? s !== void 0 : s === void 0 ? a !== void 0 : !r(a, s); + } + }); +}), ux = "partitionSelect", VO = ["typed", "isNumeric", "isNaN", "compare"], Xl = /* @__PURE__ */ j(ux, VO, (t) => { + var { + typed: e, + isNumeric: r, + isNaN: n, + compare: a + } = t, s = a, o = (f, l) => -a(f, l); + return e(ux, { + "Array | Matrix, number": function(l, c) { + return p(l, c, s); + }, + "Array | Matrix, number, string": function(l, c, h) { + if (h === "asc") + return p(l, c, s); + if (h === "desc") + return p(l, c, o); + throw new Error('Compare string must be "asc" or "desc"'); + }, + "Array | Matrix, number, function": p + }); + function p(f, l, c) { + if (!Xe(l) || l < 0) + throw new Error("k must be a non-negative integer"); + if (tt(f)) { + var h = f.size(); + if (h.length > 1) + throw new Error("Only one dimensional matrices supported"); + return u(f.valueOf(), l, c); + } + if (Array.isArray(f)) + return u(f, l, c); + } + function u(f, l, c) { + if (l >= f.length) + throw new Error("k out of bounds"); + for (var h = 0; h < f.length; h++) + if (r(f[h]) && n(f[h])) + return f[h]; + for (var d = 0, g = f.length - 1; d < g; ) { + for (var v = d, N = g, b = f[Math.floor(Math.random() * (g - d + 1)) + d]; v < N; ) + if (c(f[v], b) >= 0) { + var C = f[N]; + f[N] = f[v], f[v] = C, --N; + } else + ++v; + c(f[v], b) > 0 && --v, l <= v ? g = v : d = v + 1; + } + return f[l]; + } +}), lx = "sort", WO = ["typed", "matrix", "compare", "compareNatural"], Kl = /* @__PURE__ */ j(lx, WO, (t) => { + var { + typed: e, + matrix: r, + compare: n, + compareNatural: a + } = t, s = n, o = (l, c) => -n(l, c); + return e(lx, { + Array: function(c) { + return u(c), c.sort(s); + }, + Matrix: function(c) { + return f(c), r(c.toArray().sort(s), c.storage()); + }, + "Array, function": function(c, h) { + return u(c), c.sort(h); + }, + "Matrix, function": function(c, h) { + return f(c), r(c.toArray().sort(h), c.storage()); + }, + "Array, string": function(c, h) { + return u(c), c.sort(p(h)); + }, + "Matrix, string": function(c, h) { + return f(c), r(c.toArray().sort(p(h)), c.storage()); + } + }); + function p(l) { + if (l === "asc") + return s; + if (l === "desc") + return o; + if (l === "natural") + return a; + throw new Error('String "asc", "desc", or "natural" expected'); + } + function u(l) { + if (gt(l).length !== 1) + throw new Error("One dimensional array expected"); + } + function f(l) { + if (l.size().length !== 1) + throw new Error("One dimensional matrix expected"); + } +}), cx = "max", jO = ["typed", "config", "numeric", "larger"], no = /* @__PURE__ */ j(cx, jO, (t) => { + var { + typed: e, + config: r, + numeric: n, + larger: a + } = t; + return e(cx, { + // max([a, b, c, d, ...]) + "Array | Matrix": o, + // max([a, b, c, d, ...], dim) + "Array | Matrix, number | BigNumber": function(u, f) { + return zu(u, f.valueOf(), s); + }, + // max(a, b, c, d, ...) + "...": function(u) { + if (Za(u)) + throw new TypeError("Scalar values expected in function max"); + return o(u); + } + }); + function s(p, u) { + try { + return a(p, u) ? p : u; + } catch (f) { + throw tn(f, "max", u); + } + } + function o(p) { + var u; + if (hi(p, function(f) { + try { + isNaN(f) && typeof f == "number" ? u = NaN : (u === void 0 || a(f, u)) && (u = f); + } catch (l) { + throw tn(l, "max", f); + } + }), u === void 0) + throw new Error("Cannot calculate max of an empty array"); + return typeof u == "string" && (u = n(u, Ii(u, r))), u; + } +}), fx = "min", ZO = ["typed", "config", "numeric", "smaller"], io = /* @__PURE__ */ j(fx, ZO, (t) => { + var { + typed: e, + config: r, + numeric: n, + smaller: a + } = t; + return e(fx, { + // min([a, b, c, d, ...]) + "Array | Matrix": o, + // min([a, b, c, d, ...], dim) + "Array | Matrix, number | BigNumber": function(u, f) { + return zu(u, f.valueOf(), s); + }, + // min(a, b, c, d, ...) + "...": function(u) { + if (Za(u)) + throw new TypeError("Scalar values expected in function min"); + return o(u); + } + }); + function s(p, u) { + try { + return a(p, u) ? p : u; + } catch (f) { + throw tn(f, "min", u); + } + } + function o(p) { + var u; + if (hi(p, function(f) { + try { + isNaN(f) && typeof f == "number" ? u = NaN : (u === void 0 || a(f, u)) && (u = f); + } catch (l) { + throw tn(l, "min", f); + } + }), u === void 0) + throw new Error("Cannot calculate min of an empty array"); + return typeof u == "string" && (u = n(u, Ii(u, r))), u; + } +}), JO = "ImmutableDenseMatrix", YO = ["smaller", "DenseMatrix"], ec = /* @__PURE__ */ j(JO, YO, (t) => { + var { + smaller: e, + DenseMatrix: r + } = t; + function n(a, s) { + if (!(this instanceof n)) + throw new SyntaxError("Constructor must be called with the new operator"); + if (s && !Er(s)) + throw new Error("Invalid datatype: " + s); + if (tt(a) || Rt(a)) { + var o = new r(a, s); + this._data = o._data, this._size = o._size, this._datatype = o._datatype, this._min = null, this._max = null; + } else if (a && Rt(a.data) && Rt(a.size)) + this._data = a.data, this._size = a.size, this._datatype = a.datatype, this._min = typeof a.min < "u" ? a.min : null, this._max = typeof a.max < "u" ? a.max : null; + else { + if (a) + throw new TypeError("Unsupported type of data (" + Vt(a) + ")"); + this._data = [], this._size = [0], this._datatype = s, this._min = null, this._max = null; + } + } + return n.prototype = new r(), n.prototype.type = "ImmutableDenseMatrix", n.prototype.isImmutableDenseMatrix = !0, n.prototype.subset = function(a) { + switch (arguments.length) { + case 1: { + var s = r.prototype.subset.call(this, a); + return tt(s) ? new n({ + data: s._data, + size: s._size, + datatype: s._datatype + }) : s; + } + case 2: + case 3: + throw new Error("Cannot invoke set subset on an Immutable Matrix instance"); + default: + throw new SyntaxError("Wrong number of arguments"); + } + }, n.prototype.set = function() { + throw new Error("Cannot invoke set on an Immutable Matrix instance"); + }, n.prototype.resize = function() { + throw new Error("Cannot invoke resize on an Immutable Matrix instance"); + }, n.prototype.reshape = function() { + throw new Error("Cannot invoke reshape on an Immutable Matrix instance"); + }, n.prototype.clone = function() { + return new n({ + data: nt(this._data), + size: nt(this._size), + datatype: this._datatype + }); + }, n.prototype.toJSON = function() { + return { + mathjs: "ImmutableDenseMatrix", + data: this._data, + size: this._size, + datatype: this._datatype + }; + }, n.fromJSON = function(a) { + return new n(a); + }, n.prototype.swapRows = function() { + throw new Error("Cannot invoke swapRows on an Immutable Matrix instance"); + }, n.prototype.min = function() { + if (this._min === null) { + var a = null; + this.forEach(function(s) { + (a === null || e(s, a)) && (a = s); + }), this._min = a !== null ? a : void 0; + } + return this._min; + }, n.prototype.max = function() { + if (this._max === null) { + var a = null; + this.forEach(function(s) { + (a === null || e(a, s)) && (a = s); + }), this._max = a !== null ? a : void 0; + } + return this._max; + }, n; +}, { + isClass: !0 +}), XO = "Index", KO = ["ImmutableDenseMatrix", "getMatrixDataType"], tc = /* @__PURE__ */ j(XO, KO, (t) => { + var { + ImmutableDenseMatrix: e, + getMatrixDataType: r + } = t; + function n(s) { + if (!(this instanceof n)) + throw new SyntaxError("Constructor must be called with the new operator"); + this._dimensions = [], this._sourceSize = [], this._isScalar = !0; + for (var o = 0, p = arguments.length; o < p; o++) { + var u = arguments[o], f = Rt(u), l = tt(u), c = null; + if (ks(u)) + this._dimensions.push(u), this._isScalar = !1; + else if (f || l) { + var h = void 0; + r(u) === "boolean" ? (f && (h = a(px(u).valueOf())), l && (h = a(px(u._data).valueOf())), c = u.valueOf().length) : h = a(u.valueOf()), this._dimensions.push(h); + var d = h.size(); + (d.length !== 1 || d[0] !== 1 || c !== null) && (this._isScalar = !1); + } else if (typeof u == "number") + this._dimensions.push(a([u])); + else if (typeof u == "string") + this._dimensions.push(u); + else + throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range"); + this._sourceSize.push(c); + } + } + n.prototype.type = "Index", n.prototype.isIndex = !0; + function a(s) { + for (var o = 0, p = s.length; o < p; o++) + if (typeof s[o] != "number" || !Xe(s[o])) + throw new TypeError("Index parameters must be positive integer numbers"); + return new e(s); + } + return n.prototype.clone = function() { + var s = new n(); + return s._dimensions = nt(this._dimensions), s._isScalar = this._isScalar, s._sourceSize = this._sourceSize, s; + }, n.create = function(s) { + var o = new n(); + return n.apply(o, s), o; + }, n.prototype.size = function() { + for (var s = [], o = 0, p = this._dimensions.length; o < p; o++) { + var u = this._dimensions[o]; + s[o] = typeof u == "string" ? 1 : u.size()[0]; + } + return s; + }, n.prototype.max = function() { + for (var s = [], o = 0, p = this._dimensions.length; o < p; o++) { + var u = this._dimensions[o]; + s[o] = typeof u == "string" ? u : u.max(); + } + return s; + }, n.prototype.min = function() { + for (var s = [], o = 0, p = this._dimensions.length; o < p; o++) { + var u = this._dimensions[o]; + s[o] = typeof u == "string" ? u : u.min(); + } + return s; + }, n.prototype.forEach = function(s) { + for (var o = 0, p = this._dimensions.length; o < p; o++) + s(this._dimensions[o], o, this); + }, n.prototype.dimension = function(s) { + return this._dimensions[s] || null; + }, n.prototype.isObjectProperty = function() { + return this._dimensions.length === 1 && typeof this._dimensions[0] == "string"; + }, n.prototype.getObjectProperty = function() { + return this.isObjectProperty() ? this._dimensions[0] : null; + }, n.prototype.isScalar = function() { + return this._isScalar; + }, n.prototype.toArray = function() { + for (var s = [], o = 0, p = this._dimensions.length; o < p; o++) { + var u = this._dimensions[o]; + s.push(typeof u == "string" ? u : u.toArray()); + } + return s; + }, n.prototype.valueOf = n.prototype.toArray, n.prototype.toString = function() { + for (var s = [], o = 0, p = this._dimensions.length; o < p; o++) { + var u = this._dimensions[o]; + typeof u == "string" ? s.push(JSON.stringify(u)) : s.push(u.toString()); + } + return "[" + s.join(", ") + "]"; + }, n.prototype.toJSON = function() { + return { + mathjs: "Index", + dimensions: this._dimensions + }; + }, n.fromJSON = function(s) { + return n.create(s.dimensions); + }, n; +}, { + isClass: !0 +}); +function px(t) { + var e = []; + return t.forEach((r, n) => { + r && e.push(n); + }), e; +} +var eF = "FibonacciHeap", tF = ["smaller", "larger"], rc = /* @__PURE__ */ j(eF, tF, (t) => { + var { + smaller: e, + larger: r + } = t, n = 1 / Math.log((1 + Math.sqrt(5)) / 2); + function a() { + if (!(this instanceof a)) + throw new SyntaxError("Constructor must be called with the new operator"); + this._minimum = null, this._size = 0; + } + a.prototype.type = "FibonacciHeap", a.prototype.isFibonacciHeap = !0, a.prototype.insert = function(l, c) { + var h = { + key: l, + value: c, + degree: 0 + }; + if (this._minimum) { + var d = this._minimum; + h.left = d, h.right = d.right, d.right = h, h.right.left = h, e(l, d.key) && (this._minimum = h); + } else + h.left = h, h.right = h, this._minimum = h; + return this._size++, h; + }, a.prototype.size = function() { + return this._size; + }, a.prototype.clear = function() { + this._minimum = null, this._size = 0; + }, a.prototype.isEmpty = function() { + return this._size === 0; + }, a.prototype.extractMinimum = function() { + var l = this._minimum; + if (l === null) + return l; + for (var c = this._minimum, h = l.degree, d = l.child; h > 0; ) { + var g = d.right; + d.left.right = d.right, d.right.left = d.left, d.left = c, d.right = c.right, c.right = d, d.right.left = d, d.parent = null, d = g, h--; + } + return l.left.right = l.right, l.right.left = l.left, l === l.right ? c = null : (c = l.right, c = f(c, this._size)), this._size--, this._minimum = c, l; + }, a.prototype.remove = function(l) { + this._minimum = s(this._minimum, l, -1), this.extractMinimum(); + }; + function s(l, c, h) { + c.key = h; + var d = c.parent; + return d && e(c.key, d.key) && (o(l, c, d), p(l, d)), e(c.key, l.key) && (l = c), l; + } + function o(l, c, h) { + c.left.right = c.right, c.right.left = c.left, h.degree--, h.child === c && (h.child = c.right), h.degree === 0 && (h.child = null), c.left = l, c.right = l.right, l.right = c, c.right.left = c, c.parent = null, c.mark = !1; + } + function p(l, c) { + var h = c.parent; + h && (c.mark ? (o(l, c, h), p(h)) : c.mark = !0); + } + var u = function(c, h) { + c.left.right = c.right, c.right.left = c.left, c.parent = h, h.child ? (c.left = h.child, c.right = h.child.right, h.child.right = c, c.right.left = c) : (h.child = c, c.right = c, c.left = c), h.degree++, c.mark = !1; + }; + function f(l, c) { + var h = Math.floor(Math.log(c) * n) + 1, d = new Array(h), g = 0, v = l; + if (v) + for (g++, v = v.right; v !== l; ) + g++, v = v.right; + for (var N; g > 0; ) { + for (var b = v.degree, C = v.right; N = d[b], !!N; ) { + if (r(v.key, N.key)) { + var x = N; + N = v, v = x; + } + u(N, v), d[b] = null, b++; + } + d[b] = v, v = C, g--; + } + l = null; + for (var E = 0; E < h; E++) + N = d[E], N && (l ? (N.left.right = N.right, N.right.left = N.left, N.left = l, N.right = l.right, l.right = N, N.right.left = N, e(N.key, l.key) && (l = N)) : l = N); + return l; + } + return a; +}, { + isClass: !0 +}), rF = "Spa", nF = ["addScalar", "equalScalar", "FibonacciHeap"], nc = /* @__PURE__ */ j(rF, nF, (t) => { + var { + addScalar: e, + equalScalar: r, + FibonacciHeap: n + } = t; + function a() { + if (!(this instanceof a)) + throw new SyntaxError("Constructor must be called with the new operator"); + this._values = [], this._heap = new n(); + } + return a.prototype.type = "Spa", a.prototype.isSpa = !0, a.prototype.set = function(s, o) { + if (this._values[s]) + this._values[s].value = o; + else { + var p = this._heap.insert(s, o); + this._values[s] = p; + } + }, a.prototype.get = function(s) { + var o = this._values[s]; + return o ? o.value : 0; + }, a.prototype.accumulate = function(s, o) { + var p = this._values[s]; + p ? p.value = e(p.value, o) : (p = this._heap.insert(s, o), this._values[s] = p); + }, a.prototype.forEach = function(s, o, p) { + var u = this._heap, f = this._values, l = [], c = u.extractMinimum(); + for (c && l.push(c); c && c.key <= o; ) + c.key >= s && (r(c.value, 0) || p(c.key, c.value, this)), c = u.extractMinimum(), c && l.push(c); + for (var h = 0; h < l.length; h++) { + var d = l[h]; + c = u.insert(d.key, d.value), f[c.key] = c; + } + }, a.prototype.swap = function(s, o) { + var p = this._values[s], u = this._values[o]; + if (!p && u) + p = this._heap.insert(s, u.value), this._heap.remove(u), this._values[s] = p, this._values[o] = void 0; + else if (p && !u) + u = this._heap.insert(o, p.value), this._heap.remove(p), this._values[o] = u, this._values[s] = void 0; + else if (p && u) { + var f = p.value; + p.value = u.value, u.value = f; + } + }, a; +}, { + isClass: !0 +}), iF = Us(function(t) { + return new t(1).exp(); +}, { + hasher: ic +}), aF = Us(function(t) { + return new t(1).plus(new t(5).sqrt()).div(2); +}, { + hasher: ic +}), Id = Us(function(t) { + return t.acos(-1); +}, { + hasher: ic +}), sF = Us(function(t) { + return Id(t).times(2); +}, { + hasher: ic +}); +function ic(t) { + return t[0].precision; +} +function hx(t, e) { + var r = Object.keys(t); + if (Object.getOwnPropertySymbols) { + var n = Object.getOwnPropertySymbols(t); + e && (n = n.filter(function(a) { + return Object.getOwnPropertyDescriptor(t, a).enumerable; + })), r.push.apply(r, n); + } + return r; +} +function Lm(t) { + for (var e = 1; e < arguments.length; e++) { + var r = arguments[e] != null ? arguments[e] : {}; + e % 2 ? hx(Object(r), !0).forEach(function(n) { + xr(t, n, r[n]); + }) : Object.getOwnPropertyDescriptors ? Object.defineProperties(t, Object.getOwnPropertyDescriptors(r)) : hx(Object(r)).forEach(function(n) { + Object.defineProperty(t, n, Object.getOwnPropertyDescriptor(r, n)); + }); + } + return t; +} +var oF = "Unit", uF = ["?on", "config", "addScalar", "subtractScalar", "multiplyScalar", "divideScalar", "pow", "abs", "fix", "round", "equal", "isNumeric", "format", "number", "Complex", "BigNumber", "Fraction"], ac = /* @__PURE__ */ j(oF, uF, (t) => { + var { + on: e, + config: r, + addScalar: n, + subtractScalar: a, + multiplyScalar: s, + divideScalar: o, + pow: p, + abs: u, + fix: f, + round: l, + equal: c, + isNumeric: h, + format: d, + number: g, + Complex: v, + BigNumber: N, + Fraction: b + } = t, C = g; + function x(V, re) { + if (!(this instanceof x)) + throw new Error("Constructor must be called with the new operator"); + if (!(V == null || h(V) || Mn(V))) + throw new TypeError("First parameter in Unit constructor must be number, BigNumber, Fraction, Complex, or undefined"); + if (this.fixPrefix = !1, this.skipAutomaticSimplification = !0, re === void 0) + this.units = [], this.dimensions = G.map((X) => 0); + else if (typeof re == "string") { + var pe = x.parse(re); + this.units = pe.units, this.dimensions = pe.dimensions; + } else if (Xr(re) && re.value === null) + this.fixPrefix = re.fixPrefix, this.skipAutomaticSimplification = re.skipAutomaticSimplification, this.dimensions = re.dimensions.slice(0), this.units = re.units.map((X) => hr({}, X)); + else + throw new TypeError("Second parameter in Unit constructor must be a string or valueless Unit"); + this.value = this._normalize(V); + } + Object.defineProperty(x, "name", { + value: "Unit" + }), x.prototype.constructor = x, x.prototype.type = "Unit", x.prototype.isUnit = !0; + var E, D, A; + function M() { + for (; A === " " || A === " "; ) + T(); + } + function _(V) { + return V >= "0" && V <= "9" || V === "."; + } + function O(V) { + return V >= "0" && V <= "9"; + } + function T() { + D++, A = E.charAt(D); + } + function I(V) { + D = V, A = E.charAt(D); + } + function q() { + var V = "", re = D; + if (A === "+" ? T() : A === "-" && (V += A, T()), !_(A)) + return I(re), null; + if (A === ".") { + if (V += A, T(), !O(A)) + return I(re), null; + } else { + for (; O(A); ) + V += A, T(); + A === "." && (V += A, T()); + } + for (; O(A); ) + V += A, T(); + if (A === "E" || A === "e") { + var pe = "", X = D; + if (pe += A, T(), (A === "+" || A === "-") && (pe += A, T()), !O(A)) + return I(X), V; + for (V = V + pe; O(A); ) + V += A, T(); + } + return V; + } + function $() { + for (var V = ""; O(A) || x.isValidAlpha(A); ) + V += A, T(); + var re = V.charAt(0); + return x.isValidAlpha(re) ? V : null; + } + function U(V) { + return A === V ? (T(), V) : null; + } + x.parse = function(V, re) { + if (re = re || {}, E = V, D = -1, A = "", typeof E != "string") + throw new TypeError("Invalid argument in Unit.parse, string expected"); + var pe = new x(); + pe.units = []; + var X = 1, ie = !1; + T(), M(); + var me = q(), Ae = null; + if (me) { + if (r.number === "BigNumber") + Ae = new N(me); + else if (r.number === "Fraction") + try { + Ae = new b(me); + } catch { + Ae = parseFloat(me); + } + else + Ae = parseFloat(me); + M(), U("*") ? (X = 1, ie = !0) : U("/") && (X = -1, ie = !0); + } + for (var Me = [], Q = 1; ; ) { + for (M(); A === "("; ) + Me.push(X), Q *= X, X = 1, T(), M(); + var ee = void 0; + if (A) { + var ye = A; + if (ee = $(), ee === null) + throw new SyntaxError('Unexpected "' + ye + '" in "' + E + '" at index ' + D.toString()); + } else + break; + var Ee = k(ee); + if (Ee === null) + throw new SyntaxError('Unit "' + ee + '" not found.'); + var Ce = X * Q; + if (M(), U("^")) { + M(); + var De = q(); + if (De === null) + throw new SyntaxError('In "' + V + '", "^" must be followed by a floating-point number'); + Ce *= De; + } + pe.units.push({ + unit: Ee.unit, + prefix: Ee.prefix, + power: Ce + }); + for (var Oe = 0; Oe < G.length; Oe++) + pe.dimensions[Oe] += (Ee.unit.dimensions[Oe] || 0) * Ce; + for (M(); A === ")"; ) { + if (Me.length === 0) + throw new SyntaxError('Unmatched ")" in "' + E + '" at index ' + D.toString()); + Q /= Me.pop(), T(), M(); + } + if (ie = !1, U("*") ? (X = 1, ie = !0) : U("/") ? (X = -1, ie = !0) : X = 1, Ee.unit.base) { + var Be = Ee.unit.base.key; + K.auto[Be] = { + unit: Ee.unit, + prefix: Ee.prefix + }; + } + } + if (M(), A) + throw new SyntaxError('Could not parse: "' + V + '"'); + if (ie) + throw new SyntaxError('Trailing characters: "' + V + '"'); + if (Me.length !== 0) + throw new SyntaxError('Unmatched "(" in "' + E + '"'); + if (pe.units.length === 0 && !re.allowNoUnits) + throw new SyntaxError('"' + V + '" contains no units'); + return pe.value = Ae !== void 0 ? pe._normalize(Ae) : null, pe; + }, x.prototype.clone = function() { + var V = new x(); + V.fixPrefix = this.fixPrefix, V.skipAutomaticSimplification = this.skipAutomaticSimplification, V.value = nt(this.value), V.dimensions = this.dimensions.slice(0), V.units = []; + for (var re = 0; re < this.units.length; re++) { + V.units[re] = {}; + for (var pe in this.units[re]) + We(this.units[re], pe) && (V.units[re][pe] = this.units[re][pe]); + } + return V; + }, x.prototype.valueType = function() { + return Vt(this.value); + }, x.prototype._isDerived = function() { + return this.units.length === 0 ? !1 : this.units.length > 1 || Math.abs(this.units[0].power - 1) > 1e-15; + }, x.prototype._normalize = function(V) { + if (V == null || this.units.length === 0) + return V; + for (var re = V, pe = x._getNumberConverter(Vt(V)), X = 0; X < this.units.length; X++) { + var ie = pe(this.units[X].unit.value), me = pe(this.units[X].prefix.value), Ae = pe(this.units[X].power); + re = s(re, p(s(ie, me), Ae)); + } + return re; + }, x.prototype._denormalize = function(V, re) { + if (V == null || this.units.length === 0) + return V; + for (var pe = V, X = x._getNumberConverter(Vt(V)), ie = 0; ie < this.units.length; ie++) { + var me = X(this.units[ie].unit.value), Ae = X(this.units[ie].prefix.value), Me = X(this.units[ie].power); + pe = o(pe, p(s(me, Ae), Me)); + } + return pe; + }; + var k = Us((V) => { + if (We(H, V)) { + var re = H[V], pe = re.prefixes[""]; + return { + unit: re, + prefix: pe + }; + } + for (var X in H) + if (We(H, X) && FT(V, X)) { + var ie = H[X], me = V.length - X.length, Ae = V.substring(0, me), Me = We(ie.prefixes, Ae) ? ie.prefixes[Ae] : void 0; + if (Me !== void 0) + return { + unit: ie, + prefix: Me + }; + } + return null; + }, { + hasher: (V) => V[0], + limit: 100 + }); + x.isValuelessUnit = function(V) { + return k(V) !== null; + }, x.prototype.hasBase = function(V) { + if (typeof V == "string" && (V = P[V]), !V) + return !1; + for (var re = 0; re < G.length; re++) + if (Math.abs((this.dimensions[re] || 0) - (V.dimensions[re] || 0)) > 1e-12) + return !1; + return !0; + }, x.prototype.equalBase = function(V) { + for (var re = 0; re < G.length; re++) + if (Math.abs((this.dimensions[re] || 0) - (V.dimensions[re] || 0)) > 1e-12) + return !1; + return !0; + }, x.prototype.equals = function(V) { + return this.equalBase(V) && c(this.value, V.value); + }, x.prototype.multiply = function(V) { + for (var re = this.clone(), pe = Xr(V) ? V : new x(V), X = 0; X < G.length; X++) + re.dimensions[X] = (this.dimensions[X] || 0) + (pe.dimensions[X] || 0); + for (var ie = 0; ie < pe.units.length; ie++) { + var me = Lm({}, pe.units[ie]); + re.units.push(me); + } + if (this.value !== null || pe.value !== null) { + var Ae = this.value === null ? this._normalize(1) : this.value, Me = pe.value === null ? pe._normalize(1) : pe.value; + re.value = s(Ae, Me); + } else + re.value = null; + return Xr(V) && (re.skipAutomaticSimplification = !1), L(re); + }, x.prototype.divideInto = function(V) { + return new x(V).divide(this); + }, x.prototype.divide = function(V) { + for (var re = this.clone(), pe = Xr(V) ? V : new x(V), X = 0; X < G.length; X++) + re.dimensions[X] = (this.dimensions[X] || 0) - (pe.dimensions[X] || 0); + for (var ie = 0; ie < pe.units.length; ie++) { + var me = Lm(Lm({}, pe.units[ie]), {}, { + power: -pe.units[ie].power + }); + re.units.push(me); + } + if (this.value !== null || pe.value !== null) { + var Ae = this.value === null ? this._normalize(1) : this.value, Me = pe.value === null ? pe._normalize(1) : pe.value; + re.value = o(Ae, Me); + } else + re.value = null; + return Xr(V) && (re.skipAutomaticSimplification = !1), L(re); + }, x.prototype.pow = function(V) { + for (var re = this.clone(), pe = 0; pe < G.length; pe++) + re.dimensions[pe] = (this.dimensions[pe] || 0) * V; + for (var X = 0; X < re.units.length; X++) + re.units[X].power *= V; + return re.value !== null ? re.value = p(re.value, V) : re.value = null, re.skipAutomaticSimplification = !1, L(re); + }; + function L(V) { + return V.equalBase(P.NONE) && V.value !== null && !r.predictable ? V.value : V; + } + x.prototype.abs = function() { + var V = this.clone(); + if (V.value !== null) + if (V._isDerived() || V.units.length === 0 || V.units[0].unit.offset === 0) + V.value = u(V.value); + else { + var re = V._numberConverter(), pe = re(V.units[0].unit.value), X = re(V.units[0].unit.offset), ie = s(pe, X); + V.value = a(u(n(V.value, ie)), ie); + } + for (var me in V.units) + (V.units[me].unit.name === "VA" || V.units[me].unit.name === "VAR") && (V.units[me].unit = H.W); + return V; + }, x.prototype.to = function(V) { + var re = this.value === null ? this._normalize(1) : this.value, pe; + if (typeof V == "string") + pe = x.parse(V); + else if (Xr(V)) + pe = V.clone(); + else + throw new Error("String or Unit expected as parameter"); + if (!this.equalBase(pe)) + throw new Error("Units do not match ('".concat(pe.toString(), "' != '").concat(this.toString(), "')")); + if (pe.value !== null) + throw new Error("Cannot convert to a unit with a value"); + if (this.value === null || this._isDerived() || this.units.length === 0 || pe.units.length === 0 || this.units[0].unit.offset === pe.units[0].unit.offset) + pe.value = nt(re); + else { + var X = x._getNumberConverter(Vt(re)), ie = this.units[0].unit.value, me = this.units[0].unit.offset, Ae = s(ie, me), Me = pe.units[0].unit.value, Q = pe.units[0].unit.offset, ee = s(Me, Q); + pe.value = n(re, X(a(Ae, ee))); + } + return pe.fixPrefix = !0, pe.skipAutomaticSimplification = !0, pe; + }, x.prototype.toNumber = function(V) { + return C(this.toNumeric(V)); + }, x.prototype.toNumeric = function(V) { + var re; + return V ? re = this.to(V) : re = this.clone(), re._isDerived() || re.units.length === 0 ? re._denormalize(re.value) : re._denormalize(re.value, re.units[0].prefix.value); + }, x.prototype.toString = function() { + return this.format(); + }, x.prototype.toJSON = function() { + return { + mathjs: "Unit", + value: this._denormalize(this.value), + unit: this.units.length > 0 ? this.formatUnits() : null, + fixPrefix: this.fixPrefix + }; + }, x.fromJSON = function(V) { + var re, pe = new x(V.value, (re = V.unit) !== null && re !== void 0 ? re : void 0); + return pe.fixPrefix = V.fixPrefix || !1, pe; + }, x.prototype.valueOf = x.prototype.toString, x.prototype.simplify = function() { + var V = this.clone(), re = [], pe; + for (var X in ce) + if (We(ce, X) && V.hasBase(P[X])) { + pe = X; + break; + } + if (pe === "NONE") + V.units = []; + else { + var ie; + if (pe && We(ce, pe) && (ie = ce[pe]), ie) + V.units = [{ + unit: ie.unit, + prefix: ie.prefix, + power: 1 + }]; + else { + for (var me = !1, Ae = 0; Ae < G.length; Ae++) { + var Me = G[Ae]; + Math.abs(V.dimensions[Ae] || 0) > 1e-12 && (We(ce, Me) ? re.push({ + unit: ce[Me].unit, + prefix: ce[Me].prefix, + power: V.dimensions[Ae] || 0 + }) : me = !0); + } + re.length < V.units.length && !me && (V.units = re); + } + } + return V; + }, x.prototype.toSI = function() { + for (var V = this.clone(), re = [], pe = 0; pe < G.length; pe++) { + var X = G[pe]; + if (Math.abs(V.dimensions[pe] || 0) > 1e-12) + if (We(K.si, X)) + re.push({ + unit: K.si[X].unit, + prefix: K.si[X].prefix, + power: V.dimensions[pe] || 0 + }); + else + throw new Error("Cannot express custom unit " + X + " in SI units"); + } + return V.units = re, V.fixPrefix = !0, V.skipAutomaticSimplification = !0, this.value !== null ? (V.value = null, this.to(V)) : V; + }, x.prototype.formatUnits = function() { + for (var V = "", re = "", pe = 0, X = 0, ie = 0; ie < this.units.length; ie++) + this.units[ie].power > 0 ? (pe++, V += " " + this.units[ie].prefix.name + this.units[ie].unit.name, Math.abs(this.units[ie].power - 1) > 1e-15 && (V += "^" + this.units[ie].power)) : this.units[ie].power < 0 && X++; + if (X > 0) + for (var me = 0; me < this.units.length; me++) + this.units[me].power < 0 && (pe > 0 ? (re += " " + this.units[me].prefix.name + this.units[me].unit.name, Math.abs(this.units[me].power + 1) > 1e-15 && (re += "^" + -this.units[me].power)) : (re += " " + this.units[me].prefix.name + this.units[me].unit.name, re += "^" + this.units[me].power)); + V = V.substr(1), re = re.substr(1), pe > 1 && X > 0 && (V = "(" + V + ")"), X > 1 && pe > 0 && (re = "(" + re + ")"); + var Ae = V; + return pe > 0 && X > 0 && (Ae += " / "), Ae += re, Ae; + }, x.prototype.format = function(V) { + var re = this.skipAutomaticSimplification || this.value === null ? this.clone() : this.simplify(), pe = !1; + typeof re.value < "u" && re.value !== null && Mn(re.value) && (pe = Math.abs(re.value.re) < 1e-14); + for (var X in re.units) + We(re.units, X) && re.units[X].unit && (re.units[X].unit.name === "VA" && pe ? re.units[X].unit = H.VAR : re.units[X].unit.name === "VAR" && !pe && (re.units[X].unit = H.VA)); + re.units.length === 1 && !re.fixPrefix && Math.abs(re.units[0].power - Math.round(re.units[0].power)) < 1e-14 && (re.units[0].prefix = re._bestPrefix()); + var ie = re._denormalize(re.value), me = re.value !== null ? d(ie, V || {}) : "", Ae = re.formatUnits(); + return re.value && Mn(re.value) && (me = "(" + me + ")"), Ae.length > 0 && me.length > 0 && (me += " "), me += Ae, me; + }, x.prototype._bestPrefix = function() { + if (this.units.length !== 1) + throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!"); + if (Math.abs(this.units[0].power - Math.round(this.units[0].power)) >= 1e-14) + throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!"); + var V = this.value !== null ? u(this.value) : 0, re = u(this.units[0].unit.value), pe = this.units[0].prefix; + if (V === 0) + return pe; + var X = this.units[0].power, ie = Math.log(V / Math.pow(pe.value * re, X)) / Math.LN10 - 1.2; + if (ie > -2.200001 && ie < 1.800001) return pe; + ie = Math.abs(ie); + var me = this.units[0].unit.prefixes; + for (var Ae in me) + if (We(me, Ae)) { + var Me = me[Ae]; + if (Me.scientific) { + var Q = Math.abs(Math.log(V / Math.pow(Me.value * re, X)) / Math.LN10 - 1.2); + (Q < ie || Q === ie && Me.name.length < pe.name.length) && (pe = Me, ie = Q); + } + } + return pe; + }, x.prototype.splitUnit = function(V) { + for (var re = this.clone(), pe = [], X = 0; X < V.length && (re = re.to(V[X]), X !== V.length - 1); X++) { + var ie = re.toNumeric(), me = l(ie), Ae = void 0, Me = c(me, ie); + Me ? Ae = me : Ae = f(re.toNumeric()); + var Q = new x(Ae, V[X].toString()); + pe.push(Q), re = a(re, Q); + } + for (var ee = 0, ye = 0; ye < pe.length; ye++) + ee = n(ee, pe[ye].value); + return c(ee, this.value) && (re.value = 0), pe.push(re), pe; + }; + var R = { + NONE: { + "": { + name: "", + value: 1, + scientific: !0 + } + }, + SHORT: { + "": { + name: "", + value: 1, + scientific: !0 + }, + da: { + name: "da", + value: 10, + scientific: !1 + }, + h: { + name: "h", + value: 100, + scientific: !1 + }, + k: { + name: "k", + value: 1e3, + scientific: !0 + }, + M: { + name: "M", + value: 1e6, + scientific: !0 + }, + G: { + name: "G", + value: 1e9, + scientific: !0 + }, + T: { + name: "T", + value: 1e12, + scientific: !0 + }, + P: { + name: "P", + value: 1e15, + scientific: !0 + }, + E: { + name: "E", + value: 1e18, + scientific: !0 + }, + Z: { + name: "Z", + value: 1e21, + scientific: !0 + }, + Y: { + name: "Y", + value: 1e24, + scientific: !0 + }, + R: { + name: "R", + value: 1e27, + scientific: !0 + }, + Q: { + name: "Q", + value: 1e30, + scientific: !0 + }, + d: { + name: "d", + value: 0.1, + scientific: !1 + }, + c: { + name: "c", + value: 0.01, + scientific: !1 + }, + m: { + name: "m", + value: 1e-3, + scientific: !0 + }, + u: { + name: "u", + value: 1e-6, + scientific: !0 + }, + n: { + name: "n", + value: 1e-9, + scientific: !0 + }, + p: { + name: "p", + value: 1e-12, + scientific: !0 + }, + f: { + name: "f", + value: 1e-15, + scientific: !0 + }, + a: { + name: "a", + value: 1e-18, + scientific: !0 + }, + z: { + name: "z", + value: 1e-21, + scientific: !0 + }, + y: { + name: "y", + value: 1e-24, + scientific: !0 + }, + r: { + name: "r", + value: 1e-27, + scientific: !0 + }, + q: { + name: "q", + value: 1e-30, + scientific: !0 + } + }, + LONG: { + "": { + name: "", + value: 1, + scientific: !0 + }, + deca: { + name: "deca", + value: 10, + scientific: !1 + }, + hecto: { + name: "hecto", + value: 100, + scientific: !1 + }, + kilo: { + name: "kilo", + value: 1e3, + scientific: !0 + }, + mega: { + name: "mega", + value: 1e6, + scientific: !0 + }, + giga: { + name: "giga", + value: 1e9, + scientific: !0 + }, + tera: { + name: "tera", + value: 1e12, + scientific: !0 + }, + peta: { + name: "peta", + value: 1e15, + scientific: !0 + }, + exa: { + name: "exa", + value: 1e18, + scientific: !0 + }, + zetta: { + name: "zetta", + value: 1e21, + scientific: !0 + }, + yotta: { + name: "yotta", + value: 1e24, + scientific: !0 + }, + ronna: { + name: "ronna", + value: 1e27, + scientific: !0 + }, + quetta: { + name: "quetta", + value: 1e30, + scientific: !0 + }, + deci: { + name: "deci", + value: 0.1, + scientific: !1 + }, + centi: { + name: "centi", + value: 0.01, + scientific: !1 + }, + milli: { + name: "milli", + value: 1e-3, + scientific: !0 + }, + micro: { + name: "micro", + value: 1e-6, + scientific: !0 + }, + nano: { + name: "nano", + value: 1e-9, + scientific: !0 + }, + pico: { + name: "pico", + value: 1e-12, + scientific: !0 + }, + femto: { + name: "femto", + value: 1e-15, + scientific: !0 + }, + atto: { + name: "atto", + value: 1e-18, + scientific: !0 + }, + zepto: { + name: "zepto", + value: 1e-21, + scientific: !0 + }, + yocto: { + name: "yocto", + value: 1e-24, + scientific: !0 + }, + ronto: { + name: "ronto", + value: 1e-27, + scientific: !0 + }, + quecto: { + name: "quecto", + value: 1e-30, + scientific: !0 + } + }, + SQUARED: { + "": { + name: "", + value: 1, + scientific: !0 + }, + da: { + name: "da", + value: 100, + scientific: !1 + }, + h: { + name: "h", + value: 1e4, + scientific: !1 + }, + k: { + name: "k", + value: 1e6, + scientific: !0 + }, + M: { + name: "M", + value: 1e12, + scientific: !0 + }, + G: { + name: "G", + value: 1e18, + scientific: !0 + }, + T: { + name: "T", + value: 1e24, + scientific: !0 + }, + P: { + name: "P", + value: 1e30, + scientific: !0 + }, + E: { + name: "E", + value: 1e36, + scientific: !0 + }, + Z: { + name: "Z", + value: 1e42, + scientific: !0 + }, + Y: { + name: "Y", + value: 1e48, + scientific: !0 + }, + R: { + name: "R", + value: 1e54, + scientific: !0 + }, + Q: { + name: "Q", + value: 1e60, + scientific: !0 + }, + d: { + name: "d", + value: 0.01, + scientific: !1 + }, + c: { + name: "c", + value: 1e-4, + scientific: !1 + }, + m: { + name: "m", + value: 1e-6, + scientific: !0 + }, + u: { + name: "u", + value: 1e-12, + scientific: !0 + }, + n: { + name: "n", + value: 1e-18, + scientific: !0 + }, + p: { + name: "p", + value: 1e-24, + scientific: !0 + }, + f: { + name: "f", + value: 1e-30, + scientific: !0 + }, + a: { + name: "a", + value: 1e-36, + scientific: !0 + }, + z: { + name: "z", + value: 1e-42, + scientific: !0 + }, + y: { + name: "y", + value: 1e-48, + scientific: !0 + }, + r: { + name: "r", + value: 1e-54, + scientific: !0 + }, + q: { + name: "q", + value: 1e-60, + scientific: !0 + } + }, + CUBIC: { + "": { + name: "", + value: 1, + scientific: !0 + }, + da: { + name: "da", + value: 1e3, + scientific: !1 + }, + h: { + name: "h", + value: 1e6, + scientific: !1 + }, + k: { + name: "k", + value: 1e9, + scientific: !0 + }, + M: { + name: "M", + value: 1e18, + scientific: !0 + }, + G: { + name: "G", + value: 1e27, + scientific: !0 + }, + T: { + name: "T", + value: 1e36, + scientific: !0 + }, + P: { + name: "P", + value: 1e45, + scientific: !0 + }, + E: { + name: "E", + value: 1e54, + scientific: !0 + }, + Z: { + name: "Z", + value: 1e63, + scientific: !0 + }, + Y: { + name: "Y", + value: 1e72, + scientific: !0 + }, + R: { + name: "R", + value: 1e81, + scientific: !0 + }, + Q: { + name: "Q", + value: 1e90, + scientific: !0 + }, + d: { + name: "d", + value: 1e-3, + scientific: !1 + }, + c: { + name: "c", + value: 1e-6, + scientific: !1 + }, + m: { + name: "m", + value: 1e-9, + scientific: !0 + }, + u: { + name: "u", + value: 1e-18, + scientific: !0 + }, + n: { + name: "n", + value: 1e-27, + scientific: !0 + }, + p: { + name: "p", + value: 1e-36, + scientific: !0 + }, + f: { + name: "f", + value: 1e-45, + scientific: !0 + }, + a: { + name: "a", + value: 1e-54, + scientific: !0 + }, + z: { + name: "z", + value: 1e-63, + scientific: !0 + }, + y: { + name: "y", + value: 1e-72, + scientific: !0 + }, + r: { + name: "r", + value: 1e-81, + scientific: !0 + }, + q: { + name: "q", + value: 1e-90, + scientific: !0 + } + }, + BINARY_SHORT_SI: { + "": { + name: "", + value: 1, + scientific: !0 + }, + k: { + name: "k", + value: 1e3, + scientific: !0 + }, + M: { + name: "M", + value: 1e6, + scientific: !0 + }, + G: { + name: "G", + value: 1e9, + scientific: !0 + }, + T: { + name: "T", + value: 1e12, + scientific: !0 + }, + P: { + name: "P", + value: 1e15, + scientific: !0 + }, + E: { + name: "E", + value: 1e18, + scientific: !0 + }, + Z: { + name: "Z", + value: 1e21, + scientific: !0 + }, + Y: { + name: "Y", + value: 1e24, + scientific: !0 + } + }, + BINARY_SHORT_IEC: { + "": { + name: "", + value: 1, + scientific: !0 + }, + Ki: { + name: "Ki", + value: 1024, + scientific: !0 + }, + Mi: { + name: "Mi", + value: Math.pow(1024, 2), + scientific: !0 + }, + Gi: { + name: "Gi", + value: Math.pow(1024, 3), + scientific: !0 + }, + Ti: { + name: "Ti", + value: Math.pow(1024, 4), + scientific: !0 + }, + Pi: { + name: "Pi", + value: Math.pow(1024, 5), + scientific: !0 + }, + Ei: { + name: "Ei", + value: Math.pow(1024, 6), + scientific: !0 + }, + Zi: { + name: "Zi", + value: Math.pow(1024, 7), + scientific: !0 + }, + Yi: { + name: "Yi", + value: Math.pow(1024, 8), + scientific: !0 + } + }, + BINARY_LONG_SI: { + "": { + name: "", + value: 1, + scientific: !0 + }, + kilo: { + name: "kilo", + value: 1e3, + scientific: !0 + }, + mega: { + name: "mega", + value: 1e6, + scientific: !0 + }, + giga: { + name: "giga", + value: 1e9, + scientific: !0 + }, + tera: { + name: "tera", + value: 1e12, + scientific: !0 + }, + peta: { + name: "peta", + value: 1e15, + scientific: !0 + }, + exa: { + name: "exa", + value: 1e18, + scientific: !0 + }, + zetta: { + name: "zetta", + value: 1e21, + scientific: !0 + }, + yotta: { + name: "yotta", + value: 1e24, + scientific: !0 + } + }, + BINARY_LONG_IEC: { + "": { + name: "", + value: 1, + scientific: !0 + }, + kibi: { + name: "kibi", + value: 1024, + scientific: !0 + }, + mebi: { + name: "mebi", + value: Math.pow(1024, 2), + scientific: !0 + }, + gibi: { + name: "gibi", + value: Math.pow(1024, 3), + scientific: !0 + }, + tebi: { + name: "tebi", + value: Math.pow(1024, 4), + scientific: !0 + }, + pebi: { + name: "pebi", + value: Math.pow(1024, 5), + scientific: !0 + }, + exi: { + name: "exi", + value: Math.pow(1024, 6), + scientific: !0 + }, + zebi: { + name: "zebi", + value: Math.pow(1024, 7), + scientific: !0 + }, + yobi: { + name: "yobi", + value: Math.pow(1024, 8), + scientific: !0 + } + }, + BTU: { + "": { + name: "", + value: 1, + scientific: !0 + }, + MM: { + name: "MM", + value: 1e6, + scientific: !0 + } + } + }; + R.SHORTLONG = hr({}, R.SHORT, R.LONG), R.BINARY_SHORT = hr({}, R.BINARY_SHORT_SI, R.BINARY_SHORT_IEC), R.BINARY_LONG = hr({}, R.BINARY_LONG_SI, R.BINARY_LONG_IEC); + var G = ["MASS", "LENGTH", "TIME", "CURRENT", "TEMPERATURE", "LUMINOUS_INTENSITY", "AMOUNT_OF_SUBSTANCE", "ANGLE", "BIT"], P = { + NONE: { + dimensions: [0, 0, 0, 0, 0, 0, 0, 0, 0] + }, + MASS: { + dimensions: [1, 0, 0, 0, 0, 0, 0, 0, 0] + }, + LENGTH: { + dimensions: [0, 1, 0, 0, 0, 0, 0, 0, 0] + }, + TIME: { + dimensions: [0, 0, 1, 0, 0, 0, 0, 0, 0] + }, + CURRENT: { + dimensions: [0, 0, 0, 1, 0, 0, 0, 0, 0] + }, + TEMPERATURE: { + dimensions: [0, 0, 0, 0, 1, 0, 0, 0, 0] + }, + LUMINOUS_INTENSITY: { + dimensions: [0, 0, 0, 0, 0, 1, 0, 0, 0] + }, + AMOUNT_OF_SUBSTANCE: { + dimensions: [0, 0, 0, 0, 0, 0, 1, 0, 0] + }, + FORCE: { + dimensions: [1, 1, -2, 0, 0, 0, 0, 0, 0] + }, + SURFACE: { + dimensions: [0, 2, 0, 0, 0, 0, 0, 0, 0] + }, + VOLUME: { + dimensions: [0, 3, 0, 0, 0, 0, 0, 0, 0] + }, + ENERGY: { + dimensions: [1, 2, -2, 0, 0, 0, 0, 0, 0] + }, + POWER: { + dimensions: [1, 2, -3, 0, 0, 0, 0, 0, 0] + }, + PRESSURE: { + dimensions: [1, -1, -2, 0, 0, 0, 0, 0, 0] + }, + ELECTRIC_CHARGE: { + dimensions: [0, 0, 1, 1, 0, 0, 0, 0, 0] + }, + ELECTRIC_CAPACITANCE: { + dimensions: [-1, -2, 4, 2, 0, 0, 0, 0, 0] + }, + ELECTRIC_POTENTIAL: { + dimensions: [1, 2, -3, -1, 0, 0, 0, 0, 0] + }, + ELECTRIC_RESISTANCE: { + dimensions: [1, 2, -3, -2, 0, 0, 0, 0, 0] + }, + ELECTRIC_INDUCTANCE: { + dimensions: [1, 2, -2, -2, 0, 0, 0, 0, 0] + }, + ELECTRIC_CONDUCTANCE: { + dimensions: [-1, -2, 3, 2, 0, 0, 0, 0, 0] + }, + MAGNETIC_FLUX: { + dimensions: [1, 2, -2, -1, 0, 0, 0, 0, 0] + }, + MAGNETIC_FLUX_DENSITY: { + dimensions: [1, 0, -2, -1, 0, 0, 0, 0, 0] + }, + FREQUENCY: { + dimensions: [0, 0, -1, 0, 0, 0, 0, 0, 0] + }, + ANGLE: { + dimensions: [0, 0, 0, 0, 0, 0, 0, 1, 0] + }, + BIT: { + dimensions: [0, 0, 0, 0, 0, 0, 0, 0, 1] + } + }; + for (var W in P) + We(P, W) && (P[W].key = W); + var le = {}, Z = { + name: "", + base: le, + value: 1, + offset: 0, + dimensions: G.map((V) => 0) + }, H = { + // length + meter: { + name: "meter", + base: P.LENGTH, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + inch: { + name: "inch", + base: P.LENGTH, + prefixes: R.NONE, + value: 0.0254, + offset: 0 + }, + foot: { + name: "foot", + base: P.LENGTH, + prefixes: R.NONE, + value: 0.3048, + offset: 0 + }, + yard: { + name: "yard", + base: P.LENGTH, + prefixes: R.NONE, + value: 0.9144, + offset: 0 + }, + mile: { + name: "mile", + base: P.LENGTH, + prefixes: R.NONE, + value: 1609.344, + offset: 0 + }, + link: { + name: "link", + base: P.LENGTH, + prefixes: R.NONE, + value: 0.201168, + offset: 0 + }, + rod: { + name: "rod", + base: P.LENGTH, + prefixes: R.NONE, + value: 5.0292, + offset: 0 + }, + chain: { + name: "chain", + base: P.LENGTH, + prefixes: R.NONE, + value: 20.1168, + offset: 0 + }, + angstrom: { + name: "angstrom", + base: P.LENGTH, + prefixes: R.NONE, + value: 1e-10, + offset: 0 + }, + m: { + name: "m", + base: P.LENGTH, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + in: { + name: "in", + base: P.LENGTH, + prefixes: R.NONE, + value: 0.0254, + offset: 0 + }, + ft: { + name: "ft", + base: P.LENGTH, + prefixes: R.NONE, + value: 0.3048, + offset: 0 + }, + yd: { + name: "yd", + base: P.LENGTH, + prefixes: R.NONE, + value: 0.9144, + offset: 0 + }, + mi: { + name: "mi", + base: P.LENGTH, + prefixes: R.NONE, + value: 1609.344, + offset: 0 + }, + li: { + name: "li", + base: P.LENGTH, + prefixes: R.NONE, + value: 0.201168, + offset: 0 + }, + rd: { + name: "rd", + base: P.LENGTH, + prefixes: R.NONE, + value: 5.02921, + offset: 0 + }, + ch: { + name: "ch", + base: P.LENGTH, + prefixes: R.NONE, + value: 20.1168, + offset: 0 + }, + mil: { + name: "mil", + base: P.LENGTH, + prefixes: R.NONE, + value: 254e-7, + offset: 0 + }, + // 1/1000 inch + // Surface + m2: { + name: "m2", + base: P.SURFACE, + prefixes: R.SQUARED, + value: 1, + offset: 0 + }, + sqin: { + name: "sqin", + base: P.SURFACE, + prefixes: R.NONE, + value: 64516e-8, + offset: 0 + }, + // 645.16 mm2 + sqft: { + name: "sqft", + base: P.SURFACE, + prefixes: R.NONE, + value: 0.09290304, + offset: 0 + }, + // 0.09290304 m2 + sqyd: { + name: "sqyd", + base: P.SURFACE, + prefixes: R.NONE, + value: 0.83612736, + offset: 0 + }, + // 0.83612736 m2 + sqmi: { + name: "sqmi", + base: P.SURFACE, + prefixes: R.NONE, + value: 2589988110336e-6, + offset: 0 + }, + // 2.589988110336 km2 + sqrd: { + name: "sqrd", + base: P.SURFACE, + prefixes: R.NONE, + value: 25.29295, + offset: 0 + }, + // 25.29295 m2 + sqch: { + name: "sqch", + base: P.SURFACE, + prefixes: R.NONE, + value: 404.6873, + offset: 0 + }, + // 404.6873 m2 + sqmil: { + name: "sqmil", + base: P.SURFACE, + prefixes: R.NONE, + value: 64516e-14, + offset: 0 + }, + // 6.4516 * 10^-10 m2 + acre: { + name: "acre", + base: P.SURFACE, + prefixes: R.NONE, + value: 4046.86, + offset: 0 + }, + // 4046.86 m2 + hectare: { + name: "hectare", + base: P.SURFACE, + prefixes: R.NONE, + value: 1e4, + offset: 0 + }, + // 10000 m2 + // Volume + m3: { + name: "m3", + base: P.VOLUME, + prefixes: R.CUBIC, + value: 1, + offset: 0 + }, + L: { + name: "L", + base: P.VOLUME, + prefixes: R.SHORT, + value: 1e-3, + offset: 0 + }, + // litre + l: { + name: "l", + base: P.VOLUME, + prefixes: R.SHORT, + value: 1e-3, + offset: 0 + }, + // litre + litre: { + name: "litre", + base: P.VOLUME, + prefixes: R.LONG, + value: 1e-3, + offset: 0 + }, + cuin: { + name: "cuin", + base: P.VOLUME, + prefixes: R.NONE, + value: 16387064e-12, + offset: 0 + }, + // 1.6387064e-5 m3 + cuft: { + name: "cuft", + base: P.VOLUME, + prefixes: R.NONE, + value: 0.028316846592, + offset: 0 + }, + // 28.316 846 592 L + cuyd: { + name: "cuyd", + base: P.VOLUME, + prefixes: R.NONE, + value: 0.764554857984, + offset: 0 + }, + // 764.554 857 984 L + teaspoon: { + name: "teaspoon", + base: P.VOLUME, + prefixes: R.NONE, + value: 5e-6, + offset: 0 + }, + // 5 mL + tablespoon: { + name: "tablespoon", + base: P.VOLUME, + prefixes: R.NONE, + value: 15e-6, + offset: 0 + }, + // 15 mL + // {name: 'cup', base: BASE_UNITS.VOLUME, prefixes: PREFIXES.NONE, value: 0.000240, offset: 0}, // 240 mL // not possible, we have already another cup + drop: { + name: "drop", + base: P.VOLUME, + prefixes: R.NONE, + value: 5e-8, + offset: 0 + }, + // 0.05 mL = 5e-8 m3 + gtt: { + name: "gtt", + base: P.VOLUME, + prefixes: R.NONE, + value: 5e-8, + offset: 0 + }, + // 0.05 mL = 5e-8 m3 + // Liquid volume + minim: { + name: "minim", + base: P.VOLUME, + prefixes: R.NONE, + value: 6161152e-14, + offset: 0 + }, + // 0.06161152 mL + fluiddram: { + name: "fluiddram", + base: P.VOLUME, + prefixes: R.NONE, + value: 36966911e-13, + offset: 0 + }, + // 3.696691 mL + fluidounce: { + name: "fluidounce", + base: P.VOLUME, + prefixes: R.NONE, + value: 2957353e-11, + offset: 0 + }, + // 29.57353 mL + gill: { + name: "gill", + base: P.VOLUME, + prefixes: R.NONE, + value: 1182941e-10, + offset: 0 + }, + // 118.2941 mL + cc: { + name: "cc", + base: P.VOLUME, + prefixes: R.NONE, + value: 1e-6, + offset: 0 + }, + // 1e-6 L + cup: { + name: "cup", + base: P.VOLUME, + prefixes: R.NONE, + value: 2365882e-10, + offset: 0 + }, + // 236.5882 mL + pint: { + name: "pint", + base: P.VOLUME, + prefixes: R.NONE, + value: 4731765e-10, + offset: 0 + }, + // 473.1765 mL + quart: { + name: "quart", + base: P.VOLUME, + prefixes: R.NONE, + value: 9463529e-10, + offset: 0 + }, + // 946.3529 mL + gallon: { + name: "gallon", + base: P.VOLUME, + prefixes: R.NONE, + value: 3785412e-9, + offset: 0 + }, + // 3.785412 L + beerbarrel: { + name: "beerbarrel", + base: P.VOLUME, + prefixes: R.NONE, + value: 0.1173478, + offset: 0 + }, + // 117.3478 L + oilbarrel: { + name: "oilbarrel", + base: P.VOLUME, + prefixes: R.NONE, + value: 0.1589873, + offset: 0 + }, + // 158.9873 L + hogshead: { + name: "hogshead", + base: P.VOLUME, + prefixes: R.NONE, + value: 0.238481, + offset: 0 + }, + // 238.4810 L + // {name: 'min', base: BASE_UNITS.VOLUME, prefixes: PREFIXES.NONE, value: 0.00000006161152, offset: 0}, // 0.06161152 mL // min is already in use as minute + fldr: { + name: "fldr", + base: P.VOLUME, + prefixes: R.NONE, + value: 36966911e-13, + offset: 0 + }, + // 3.696691 mL + floz: { + name: "floz", + base: P.VOLUME, + prefixes: R.NONE, + value: 2957353e-11, + offset: 0 + }, + // 29.57353 mL + gi: { + name: "gi", + base: P.VOLUME, + prefixes: R.NONE, + value: 1182941e-10, + offset: 0 + }, + // 118.2941 mL + cp: { + name: "cp", + base: P.VOLUME, + prefixes: R.NONE, + value: 2365882e-10, + offset: 0 + }, + // 236.5882 mL + pt: { + name: "pt", + base: P.VOLUME, + prefixes: R.NONE, + value: 4731765e-10, + offset: 0 + }, + // 473.1765 mL + qt: { + name: "qt", + base: P.VOLUME, + prefixes: R.NONE, + value: 9463529e-10, + offset: 0 + }, + // 946.3529 mL + gal: { + name: "gal", + base: P.VOLUME, + prefixes: R.NONE, + value: 3785412e-9, + offset: 0 + }, + // 3.785412 L + bbl: { + name: "bbl", + base: P.VOLUME, + prefixes: R.NONE, + value: 0.1173478, + offset: 0 + }, + // 117.3478 L + obl: { + name: "obl", + base: P.VOLUME, + prefixes: R.NONE, + value: 0.1589873, + offset: 0 + }, + // 158.9873 L + // {name: 'hogshead', base: BASE_UNITS.VOLUME, prefixes: PREFIXES.NONE, value: 0.2384810, offset: 0}, // 238.4810 L // TODO: hh? + // Mass + g: { + name: "g", + base: P.MASS, + prefixes: R.SHORT, + value: 1e-3, + offset: 0 + }, + gram: { + name: "gram", + base: P.MASS, + prefixes: R.LONG, + value: 1e-3, + offset: 0 + }, + ton: { + name: "ton", + base: P.MASS, + prefixes: R.SHORT, + value: 907.18474, + offset: 0 + }, + t: { + name: "t", + base: P.MASS, + prefixes: R.SHORT, + value: 1e3, + offset: 0 + }, + tonne: { + name: "tonne", + base: P.MASS, + prefixes: R.LONG, + value: 1e3, + offset: 0 + }, + grain: { + name: "grain", + base: P.MASS, + prefixes: R.NONE, + value: 6479891e-11, + offset: 0 + }, + dram: { + name: "dram", + base: P.MASS, + prefixes: R.NONE, + value: 0.0017718451953125, + offset: 0 + }, + ounce: { + name: "ounce", + base: P.MASS, + prefixes: R.NONE, + value: 0.028349523125, + offset: 0 + }, + poundmass: { + name: "poundmass", + base: P.MASS, + prefixes: R.NONE, + value: 0.45359237, + offset: 0 + }, + hundredweight: { + name: "hundredweight", + base: P.MASS, + prefixes: R.NONE, + value: 45.359237, + offset: 0 + }, + stick: { + name: "stick", + base: P.MASS, + prefixes: R.NONE, + value: 0.115, + offset: 0 + }, + stone: { + name: "stone", + base: P.MASS, + prefixes: R.NONE, + value: 6.35029318, + offset: 0 + }, + gr: { + name: "gr", + base: P.MASS, + prefixes: R.NONE, + value: 6479891e-11, + offset: 0 + }, + dr: { + name: "dr", + base: P.MASS, + prefixes: R.NONE, + value: 0.0017718451953125, + offset: 0 + }, + oz: { + name: "oz", + base: P.MASS, + prefixes: R.NONE, + value: 0.028349523125, + offset: 0 + }, + lbm: { + name: "lbm", + base: P.MASS, + prefixes: R.NONE, + value: 0.45359237, + offset: 0 + }, + cwt: { + name: "cwt", + base: P.MASS, + prefixes: R.NONE, + value: 45.359237, + offset: 0 + }, + // Time + s: { + name: "s", + base: P.TIME, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + min: { + name: "min", + base: P.TIME, + prefixes: R.NONE, + value: 60, + offset: 0 + }, + h: { + name: "h", + base: P.TIME, + prefixes: R.NONE, + value: 3600, + offset: 0 + }, + second: { + name: "second", + base: P.TIME, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + sec: { + name: "sec", + base: P.TIME, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + minute: { + name: "minute", + base: P.TIME, + prefixes: R.NONE, + value: 60, + offset: 0 + }, + hour: { + name: "hour", + base: P.TIME, + prefixes: R.NONE, + value: 3600, + offset: 0 + }, + day: { + name: "day", + base: P.TIME, + prefixes: R.NONE, + value: 86400, + offset: 0 + }, + week: { + name: "week", + base: P.TIME, + prefixes: R.NONE, + value: 7 * 86400, + offset: 0 + }, + month: { + name: "month", + base: P.TIME, + prefixes: R.NONE, + value: 2629800, + // 1/12th of Julian year + offset: 0 + }, + year: { + name: "year", + base: P.TIME, + prefixes: R.NONE, + value: 31557600, + // Julian year + offset: 0 + }, + decade: { + name: "decade", + base: P.TIME, + prefixes: R.NONE, + value: 315576e3, + // Julian decade + offset: 0 + }, + century: { + name: "century", + base: P.TIME, + prefixes: R.NONE, + value: 315576e4, + // Julian century + offset: 0 + }, + millennium: { + name: "millennium", + base: P.TIME, + prefixes: R.NONE, + value: 315576e5, + // Julian millennium + offset: 0 + }, + // Frequency + hertz: { + name: "Hertz", + base: P.FREQUENCY, + prefixes: R.LONG, + value: 1, + offset: 0, + reciprocal: !0 + }, + Hz: { + name: "Hz", + base: P.FREQUENCY, + prefixes: R.SHORT, + value: 1, + offset: 0, + reciprocal: !0 + }, + // Angle + rad: { + name: "rad", + base: P.ANGLE, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + radian: { + name: "radian", + base: P.ANGLE, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + // deg = rad / (2*pi) * 360 = rad / 0.017453292519943295769236907684888 + deg: { + name: "deg", + base: P.ANGLE, + prefixes: R.SHORT, + value: null, + // will be filled in by calculateAngleValues() + offset: 0 + }, + degree: { + name: "degree", + base: P.ANGLE, + prefixes: R.LONG, + value: null, + // will be filled in by calculateAngleValues() + offset: 0 + }, + // grad = rad / (2*pi) * 400 = rad / 0.015707963267948966192313216916399 + grad: { + name: "grad", + base: P.ANGLE, + prefixes: R.SHORT, + value: null, + // will be filled in by calculateAngleValues() + offset: 0 + }, + gradian: { + name: "gradian", + base: P.ANGLE, + prefixes: R.LONG, + value: null, + // will be filled in by calculateAngleValues() + offset: 0 + }, + // cycle = rad / (2*pi) = rad / 6.2831853071795864769252867665793 + cycle: { + name: "cycle", + base: P.ANGLE, + prefixes: R.NONE, + value: null, + // will be filled in by calculateAngleValues() + offset: 0 + }, + // arcsec = rad / (3600 * (360 / 2 * pi)) = rad / 0.0000048481368110953599358991410235795 + arcsec: { + name: "arcsec", + base: P.ANGLE, + prefixes: R.NONE, + value: null, + // will be filled in by calculateAngleValues() + offset: 0 + }, + // arcmin = rad / (60 * (360 / 2 * pi)) = rad / 0.00029088820866572159615394846141477 + arcmin: { + name: "arcmin", + base: P.ANGLE, + prefixes: R.NONE, + value: null, + // will be filled in by calculateAngleValues() + offset: 0 + }, + // Electric current + A: { + name: "A", + base: P.CURRENT, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + ampere: { + name: "ampere", + base: P.CURRENT, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + // Temperature + // K(C) = °C + 273.15 + // K(F) = (°F + 459.67) * (5 / 9) + // K(R) = °R * (5 / 9) + K: { + name: "K", + base: P.TEMPERATURE, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + degC: { + name: "degC", + base: P.TEMPERATURE, + prefixes: R.SHORT, + value: 1, + offset: 273.15 + }, + degF: { + name: "degF", + base: P.TEMPERATURE, + prefixes: R.SHORT, + value: new b(5, 9), + offset: 459.67 + }, + degR: { + name: "degR", + base: P.TEMPERATURE, + prefixes: R.SHORT, + value: new b(5, 9), + offset: 0 + }, + kelvin: { + name: "kelvin", + base: P.TEMPERATURE, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + celsius: { + name: "celsius", + base: P.TEMPERATURE, + prefixes: R.LONG, + value: 1, + offset: 273.15 + }, + fahrenheit: { + name: "fahrenheit", + base: P.TEMPERATURE, + prefixes: R.LONG, + value: new b(5, 9), + offset: 459.67 + }, + rankine: { + name: "rankine", + base: P.TEMPERATURE, + prefixes: R.LONG, + value: new b(5, 9), + offset: 0 + }, + // amount of substance + mol: { + name: "mol", + base: P.AMOUNT_OF_SUBSTANCE, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + mole: { + name: "mole", + base: P.AMOUNT_OF_SUBSTANCE, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + // luminous intensity + cd: { + name: "cd", + base: P.LUMINOUS_INTENSITY, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + candela: { + name: "candela", + base: P.LUMINOUS_INTENSITY, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + // TODO: units STERADIAN + // {name: 'sr', base: BASE_UNITS.STERADIAN, prefixes: PREFIXES.NONE, value: 1, offset: 0}, + // {name: 'steradian', base: BASE_UNITS.STERADIAN, prefixes: PREFIXES.NONE, value: 1, offset: 0}, + // Force + N: { + name: "N", + base: P.FORCE, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + newton: { + name: "newton", + base: P.FORCE, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + dyn: { + name: "dyn", + base: P.FORCE, + prefixes: R.SHORT, + value: 1e-5, + offset: 0 + }, + dyne: { + name: "dyne", + base: P.FORCE, + prefixes: R.LONG, + value: 1e-5, + offset: 0 + }, + lbf: { + name: "lbf", + base: P.FORCE, + prefixes: R.NONE, + value: 4.4482216152605, + offset: 0 + }, + poundforce: { + name: "poundforce", + base: P.FORCE, + prefixes: R.NONE, + value: 4.4482216152605, + offset: 0 + }, + kip: { + name: "kip", + base: P.FORCE, + prefixes: R.LONG, + value: 4448.2216, + offset: 0 + }, + kilogramforce: { + name: "kilogramforce", + base: P.FORCE, + prefixes: R.NONE, + value: 9.80665, + offset: 0 + }, + // Energy + J: { + name: "J", + base: P.ENERGY, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + joule: { + name: "joule", + base: P.ENERGY, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + erg: { + name: "erg", + base: P.ENERGY, + prefixes: R.SHORTLONG, + // Both kiloerg and kerg are acceptable + value: 1e-7, + offset: 0 + }, + Wh: { + name: "Wh", + base: P.ENERGY, + prefixes: R.SHORT, + value: 3600, + offset: 0 + }, + BTU: { + name: "BTU", + base: P.ENERGY, + prefixes: R.BTU, + value: 1055.05585262, + offset: 0 + }, + eV: { + name: "eV", + base: P.ENERGY, + prefixes: R.SHORT, + value: 1602176565e-28, + offset: 0 + }, + electronvolt: { + name: "electronvolt", + base: P.ENERGY, + prefixes: R.LONG, + value: 1602176565e-28, + offset: 0 + }, + // Power + W: { + name: "W", + base: P.POWER, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + watt: { + name: "watt", + base: P.POWER, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + hp: { + name: "hp", + base: P.POWER, + prefixes: R.NONE, + value: 745.6998715386, + offset: 0 + }, + // Electrical power units + VAR: { + name: "VAR", + base: P.POWER, + prefixes: R.SHORT, + value: v.I, + offset: 0 + }, + VA: { + name: "VA", + base: P.POWER, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + // Pressure + Pa: { + name: "Pa", + base: P.PRESSURE, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + psi: { + name: "psi", + base: P.PRESSURE, + prefixes: R.NONE, + value: 6894.75729276459, + offset: 0 + }, + atm: { + name: "atm", + base: P.PRESSURE, + prefixes: R.NONE, + value: 101325, + offset: 0 + }, + bar: { + name: "bar", + base: P.PRESSURE, + prefixes: R.SHORTLONG, + value: 1e5, + offset: 0 + }, + torr: { + name: "torr", + base: P.PRESSURE, + prefixes: R.NONE, + value: 133.322, + offset: 0 + }, + mmHg: { + name: "mmHg", + base: P.PRESSURE, + prefixes: R.NONE, + value: 133.322, + offset: 0 + }, + mmH2O: { + name: "mmH2O", + base: P.PRESSURE, + prefixes: R.NONE, + value: 9.80665, + offset: 0 + }, + cmH2O: { + name: "cmH2O", + base: P.PRESSURE, + prefixes: R.NONE, + value: 98.0665, + offset: 0 + }, + // Electric charge + coulomb: { + name: "coulomb", + base: P.ELECTRIC_CHARGE, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + C: { + name: "C", + base: P.ELECTRIC_CHARGE, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + // Electric capacitance + farad: { + name: "farad", + base: P.ELECTRIC_CAPACITANCE, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + F: { + name: "F", + base: P.ELECTRIC_CAPACITANCE, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + // Electric potential + volt: { + name: "volt", + base: P.ELECTRIC_POTENTIAL, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + V: { + name: "V", + base: P.ELECTRIC_POTENTIAL, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + // Electric resistance + ohm: { + name: "ohm", + base: P.ELECTRIC_RESISTANCE, + prefixes: R.SHORTLONG, + // Both Mohm and megaohm are acceptable + value: 1, + offset: 0 + }, + /* + * Unicode breaks in browsers if charset is not specified + Ω: { + name: 'Ω', + base: BASE_UNITS.ELECTRIC_RESISTANCE, + prefixes: PREFIXES.SHORT, + value: 1, + offset: 0 + }, + */ + // Electric inductance + henry: { + name: "henry", + base: P.ELECTRIC_INDUCTANCE, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + H: { + name: "H", + base: P.ELECTRIC_INDUCTANCE, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + // Electric conductance + siemens: { + name: "siemens", + base: P.ELECTRIC_CONDUCTANCE, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + S: { + name: "S", + base: P.ELECTRIC_CONDUCTANCE, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + // Magnetic flux + weber: { + name: "weber", + base: P.MAGNETIC_FLUX, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + Wb: { + name: "Wb", + base: P.MAGNETIC_FLUX, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + // Magnetic flux density + tesla: { + name: "tesla", + base: P.MAGNETIC_FLUX_DENSITY, + prefixes: R.LONG, + value: 1, + offset: 0 + }, + T: { + name: "T", + base: P.MAGNETIC_FLUX_DENSITY, + prefixes: R.SHORT, + value: 1, + offset: 0 + }, + // Binary + b: { + name: "b", + base: P.BIT, + prefixes: R.BINARY_SHORT, + value: 1, + offset: 0 + }, + bits: { + name: "bits", + base: P.BIT, + prefixes: R.BINARY_LONG, + value: 1, + offset: 0 + }, + B: { + name: "B", + base: P.BIT, + prefixes: R.BINARY_SHORT, + value: 8, + offset: 0 + }, + bytes: { + name: "bytes", + base: P.BIT, + prefixes: R.BINARY_LONG, + value: 8, + offset: 0 + } + }, te = { + meters: "meter", + inches: "inch", + feet: "foot", + yards: "yard", + miles: "mile", + links: "link", + rods: "rod", + chains: "chain", + angstroms: "angstrom", + lt: "l", + litres: "litre", + liter: "litre", + liters: "litre", + teaspoons: "teaspoon", + tablespoons: "tablespoon", + minims: "minim", + fluiddrams: "fluiddram", + fluidounces: "fluidounce", + gills: "gill", + cups: "cup", + pints: "pint", + quarts: "quart", + gallons: "gallon", + beerbarrels: "beerbarrel", + oilbarrels: "oilbarrel", + hogsheads: "hogshead", + gtts: "gtt", + grams: "gram", + tons: "ton", + tonnes: "tonne", + grains: "grain", + drams: "dram", + ounces: "ounce", + poundmasses: "poundmass", + hundredweights: "hundredweight", + sticks: "stick", + lb: "lbm", + lbs: "lbm", + kips: "kip", + kgf: "kilogramforce", + acres: "acre", + hectares: "hectare", + sqfeet: "sqft", + sqyard: "sqyd", + sqmile: "sqmi", + sqmiles: "sqmi", + mmhg: "mmHg", + mmh2o: "mmH2O", + cmh2o: "cmH2O", + seconds: "second", + secs: "second", + minutes: "minute", + mins: "minute", + hours: "hour", + hr: "hour", + hrs: "hour", + days: "day", + weeks: "week", + months: "month", + years: "year", + decades: "decade", + centuries: "century", + millennia: "millennium", + hertz: "hertz", + radians: "radian", + degrees: "degree", + gradians: "gradian", + cycles: "cycle", + arcsecond: "arcsec", + arcseconds: "arcsec", + arcminute: "arcmin", + arcminutes: "arcmin", + BTUs: "BTU", + watts: "watt", + joules: "joule", + amperes: "ampere", + amps: "ampere", + amp: "ampere", + coulombs: "coulomb", + volts: "volt", + ohms: "ohm", + farads: "farad", + webers: "weber", + teslas: "tesla", + electronvolts: "electronvolt", + moles: "mole", + bit: "bits", + byte: "bytes" + }; + function be(V) { + if (V.number === "BigNumber") { + var re = Id(N); + H.rad.value = new N(1), H.deg.value = re.div(180), H.grad.value = re.div(200), H.cycle.value = re.times(2), H.arcsec.value = re.div(648e3), H.arcmin.value = re.div(10800); + } else + H.rad.value = 1, H.deg.value = Math.PI / 180, H.grad.value = Math.PI / 200, H.cycle.value = Math.PI * 2, H.arcsec.value = Math.PI / 648e3, H.arcmin.value = Math.PI / 10800; + H.radian.value = H.rad.value, H.degree.value = H.deg.value, H.gradian.value = H.grad.value; + } + be(r), e && e("config", function(V, re) { + V.number !== re.number && be(V); + }); + var K = { + si: { + // Base units + NONE: { + unit: Z, + prefix: R.NONE[""] + }, + LENGTH: { + unit: H.m, + prefix: R.SHORT[""] + }, + MASS: { + unit: H.g, + prefix: R.SHORT.k + }, + TIME: { + unit: H.s, + prefix: R.SHORT[""] + }, + CURRENT: { + unit: H.A, + prefix: R.SHORT[""] + }, + TEMPERATURE: { + unit: H.K, + prefix: R.SHORT[""] + }, + LUMINOUS_INTENSITY: { + unit: H.cd, + prefix: R.SHORT[""] + }, + AMOUNT_OF_SUBSTANCE: { + unit: H.mol, + prefix: R.SHORT[""] + }, + ANGLE: { + unit: H.rad, + prefix: R.SHORT[""] + }, + BIT: { + unit: H.bits, + prefix: R.SHORT[""] + }, + // Derived units + FORCE: { + unit: H.N, + prefix: R.SHORT[""] + }, + ENERGY: { + unit: H.J, + prefix: R.SHORT[""] + }, + POWER: { + unit: H.W, + prefix: R.SHORT[""] + }, + PRESSURE: { + unit: H.Pa, + prefix: R.SHORT[""] + }, + ELECTRIC_CHARGE: { + unit: H.C, + prefix: R.SHORT[""] + }, + ELECTRIC_CAPACITANCE: { + unit: H.F, + prefix: R.SHORT[""] + }, + ELECTRIC_POTENTIAL: { + unit: H.V, + prefix: R.SHORT[""] + }, + ELECTRIC_RESISTANCE: { + unit: H.ohm, + prefix: R.SHORT[""] + }, + ELECTRIC_INDUCTANCE: { + unit: H.H, + prefix: R.SHORT[""] + }, + ELECTRIC_CONDUCTANCE: { + unit: H.S, + prefix: R.SHORT[""] + }, + MAGNETIC_FLUX: { + unit: H.Wb, + prefix: R.SHORT[""] + }, + MAGNETIC_FLUX_DENSITY: { + unit: H.T, + prefix: R.SHORT[""] + }, + FREQUENCY: { + unit: H.Hz, + prefix: R.SHORT[""] + } + } + }; + K.cgs = JSON.parse(JSON.stringify(K.si)), K.cgs.LENGTH = { + unit: H.m, + prefix: R.SHORT.c + }, K.cgs.MASS = { + unit: H.g, + prefix: R.SHORT[""] + }, K.cgs.FORCE = { + unit: H.dyn, + prefix: R.SHORT[""] + }, K.cgs.ENERGY = { + unit: H.erg, + prefix: R.NONE[""] + }, K.us = JSON.parse(JSON.stringify(K.si)), K.us.LENGTH = { + unit: H.ft, + prefix: R.NONE[""] + }, K.us.MASS = { + unit: H.lbm, + prefix: R.NONE[""] + }, K.us.TEMPERATURE = { + unit: H.degF, + prefix: R.NONE[""] + }, K.us.FORCE = { + unit: H.lbf, + prefix: R.NONE[""] + }, K.us.ENERGY = { + unit: H.BTU, + prefix: R.BTU[""] + }, K.us.POWER = { + unit: H.hp, + prefix: R.NONE[""] + }, K.us.PRESSURE = { + unit: H.psi, + prefix: R.NONE[""] + }, K.auto = JSON.parse(JSON.stringify(K.si)); + var ce = K.auto; + x.setUnitSystem = function(V) { + if (We(K, V)) + ce = K[V]; + else + throw new Error("Unit system " + V + " does not exist. Choices are: " + Object.keys(K).join(", ")); + }, x.getUnitSystem = function() { + for (var V in K) + if (We(K, V) && K[V] === ce) + return V; + }, x.typeConverters = { + BigNumber: function(re) { + return re != null && re.isFraction ? new N(re.n).div(re.d).times(re.s) : new N(re + ""); + }, + Fraction: function(re) { + return new b(re); + }, + Complex: function(re) { + return re; + }, + number: function(re) { + return re != null && re.isFraction ? g(re) : re; + } + }, x.prototype._numberConverter = function() { + var V = x.typeConverters[this.valueType()]; + if (V) + return V; + throw new TypeError('Unsupported Unit value type "' + this.valueType() + '"'); + }, x._getNumberConverter = function(V) { + if (!x.typeConverters[V]) + throw new TypeError('Unsupported type "' + V + '"'); + return x.typeConverters[V]; + }; + for (var de in H) + if (We(H, de)) { + var ue = H[de]; + ue.dimensions = ue.base.dimensions; + } + for (var ve in te) + if (We(te, ve)) { + var he = H[te[ve]], Ne = {}; + for (var we in he) + We(he, we) && (Ne[we] = he[we]); + Ne.name = ve, H[ve] = Ne; + } + x.isValidAlpha = function(re) { + return /^[a-zA-Z]$/.test(re); + }; + function Se(V) { + for (var re = 0; re < V.length; re++) { + if (A = V.charAt(re), re === 0 && !x.isValidAlpha(A)) + throw new Error('Invalid unit name (must begin with alpha character): "' + V + '"'); + if (re > 0 && !(x.isValidAlpha(A) || O(A))) + throw new Error('Invalid unit name (only alphanumeric characters are allowed): "' + V + '"'); + } + } + return x.createUnit = function(V, re) { + if (typeof V != "object") + throw new TypeError("createUnit expects first parameter to be of type 'Object'"); + if (re && re.override) { + for (var pe in V) + if (We(V, pe) && x.deleteUnit(pe), V[pe].aliases) + for (var X = 0; X < V[pe].aliases.length; X++) + x.deleteUnit(V[pe].aliases[X]); + } + var ie; + for (var me in V) + We(V, me) && (ie = x.createUnitSingle(me, V[me])); + return ie; + }, x.createUnitSingle = function(V, re) { + if ((typeof re > "u" || re === null) && (re = {}), typeof V != "string") + throw new TypeError("createUnitSingle expects first parameter to be of type 'string'"); + if (We(H, V)) + throw new Error('Cannot create unit "' + V + '": a unit with that name already exists'); + Se(V); + var pe = null, X = [], ie = 0, me, Ae, Me; + if (re && re.type === "Unit") + pe = re.clone(); + else if (typeof re == "string") + re !== "" && (me = re); + else if (typeof re == "object") + me = re.definition, Ae = re.prefixes, ie = re.offset, Me = re.baseName, re.aliases && (X = re.aliases.valueOf()); + else + throw new TypeError('Cannot create unit "' + V + '" from "' + re.toString() + '": expecting "string" or "Unit" or "Object"'); + if (X) { + for (var Q = 0; Q < X.length; Q++) + if (We(H, X[Q])) + throw new Error('Cannot create alias "' + X[Q] + '": a unit with that name already exists'); + } + if (me && typeof me == "string" && !pe) + try { + pe = x.parse(me, { + allowNoUnits: !0 + }); + } catch (B) { + throw B.message = 'Could not create unit "' + V + '" from "' + me + '": ' + B.message, B; + } + else me && me.type === "Unit" && (pe = me.clone()); + X = X || [], ie = ie || 0, Ae && Ae.toUpperCase ? Ae = R[Ae.toUpperCase()] || R.NONE : Ae = R.NONE; + var ee = {}; + if (pe) { + ee = { + name: V, + value: pe.value, + dimensions: pe.dimensions.slice(0), + prefixes: Ae, + offset: ie + }; + var De = !1; + for (var Oe in P) + if (We(P, Oe)) { + for (var Be = !0, Le = 0; Le < G.length; Le++) + if (Math.abs((ee.dimensions[Le] || 0) - (P[Oe].dimensions[Le] || 0)) > 1e-12) { + Be = !1; + break; + } + if (Be) { + De = !0, ee.base = P[Oe]; + break; + } + } + if (!De) { + Me = Me || V + "_STUFF"; + var Re = { + dimensions: pe.dimensions.slice(0) + }; + Re.key = Me, P[Me] = Re, ce[Me] = { + unit: ee, + prefix: R.NONE[""] + }, ee.base = P[Me]; + } + } else { + if (Me = Me || V + "_STUFF", G.indexOf(Me) >= 0) + throw new Error('Cannot create new base unit "' + V + '": a base unit with that name already exists (and cannot be overridden)'); + G.push(Me); + for (var ye in P) + We(P, ye) && (P[ye].dimensions[G.length - 1] = 0); + for (var Ee = { + dimensions: [] + }, Ce = 0; Ce < G.length; Ce++) + Ee.dimensions[Ce] = 0; + Ee.dimensions[G.length - 1] = 1, Ee.key = Me, P[Me] = Ee, ee = { + name: V, + value: 1, + dimensions: P[Me].dimensions.slice(0), + prefixes: Ae, + offset: ie, + base: P[Me] + }, ce[Me] = { + unit: ee, + prefix: R.NONE[""] + }; + } + x.UNITS[V] = ee; + for (var rt = 0; rt < X.length; rt++) { + var Ke = X[rt], Ze = {}; + for (var Ie in ee) + We(ee, Ie) && (Ze[Ie] = ee[Ie]); + Ze.name = Ke, x.UNITS[Ke] = Ze; + } + return delete k.cache, new x(null, V); + }, x.deleteUnit = function(V) { + delete x.UNITS[V], delete k.cache; + }, x.PREFIXES = R, x.BASE_DIMENSIONS = G, x.BASE_UNITS = P, x.UNIT_SYSTEMS = K, x.UNITS = H, x; +}, { + isClass: !0 +}), mx = "unit", lF = ["typed", "Unit"], sc = /* @__PURE__ */ j(mx, lF, (t) => { + var { + typed: e, + Unit: r + } = t; + return e(mx, { + Unit: function(a) { + return a.clone(); + }, + string: function(a) { + return r.isValuelessUnit(a) ? new r(null, a) : r.parse(a, { + allowNoUnits: !0 + }); + }, + "number | BigNumber | Fraction | Complex, string | Unit": function(a, s) { + return new r(a, s); + }, + "number | BigNumber | Fraction": function(a) { + return new r(a); + }, + "Array | Matrix": e.referToSelf((n) => (a) => Nt(a, n)) + }); +}), dx = "sparse", cF = ["typed", "SparseMatrix"], oc = /* @__PURE__ */ j(dx, cF, (t) => { + var { + typed: e, + SparseMatrix: r + } = t; + return e(dx, { + "": function() { + return new r([]); + }, + string: function(a) { + return new r([], a); + }, + "Array | Matrix": function(a) { + return new r(a); + }, + "Array | Matrix, string": function(a, s) { + return new r(a, s); + } + }); +}), vx = "createUnit", fF = ["typed", "Unit"], uc = /* @__PURE__ */ j(vx, fF, (t) => { + var { + typed: e, + Unit: r + } = t; + return e(vx, { + // General function signature. First parameter is an object where each property is the definition of a new unit. The object keys are the unit names and the values are the definitions. The values can be objects, strings, or Units. If a property is an empty object or an empty string, a new base unit is created. The second parameter is the options. + "Object, Object": function(a, s) { + return r.createUnit(a, s); + }, + // Same as above but without the options. + Object: function(a) { + return r.createUnit(a, {}); + }, + // Shortcut method for creating one unit. + "string, Unit | string | Object, Object": function(a, s, o) { + var p = {}; + return p[a] = s, r.createUnit(p, o); + }, + // Same as above but without the options. + "string, Unit | string | Object": function(a, s) { + var o = {}; + return o[a] = s, r.createUnit(o, {}); + }, + // Without a definition, creates a base unit. + string: function(a) { + var s = {}; + return s[a] = {}, r.createUnit(s, {}); + } + }); +}), gx = "acos", pF = ["typed", "config", "Complex"], lc = /* @__PURE__ */ j(gx, pF, (t) => { + var { + typed: e, + config: r, + Complex: n + } = t; + return e(gx, { + number: function(s) { + return s >= -1 && s <= 1 || r.predictable ? Math.acos(s) : new n(s, 0).acos(); + }, + Complex: function(s) { + return s.acos(); + }, + BigNumber: function(s) { + return s.acos(); + } + }); +}), yx = "acosh", hF = ["typed", "config", "Complex"], cc = /* @__PURE__ */ j(yx, hF, (t) => { + var { + typed: e, + config: r, + Complex: n + } = t; + return e(yx, { + number: function(s) { + return s >= 1 || r.predictable ? Aw(s) : s <= -1 ? new n(Math.log(Math.sqrt(s * s - 1) - s), Math.PI) : new n(s, 0).acosh(); + }, + Complex: function(s) { + return s.acosh(); + }, + BigNumber: function(s) { + return s.acosh(); + } + }); +}), xx = "acot", mF = ["typed", "BigNumber"], fc = /* @__PURE__ */ j(xx, mF, (t) => { + var { + typed: e, + BigNumber: r + } = t; + return e(xx, { + number: Ew, + Complex: function(a) { + return a.acot(); + }, + BigNumber: function(a) { + return new r(1).div(a).atan(); + } + }); +}), bx = "acoth", dF = ["typed", "config", "Complex", "BigNumber"], pc = /* @__PURE__ */ j(bx, dF, (t) => { + var { + typed: e, + config: r, + Complex: n, + BigNumber: a + } = t; + return e(bx, { + number: function(o) { + return o >= 1 || o <= -1 || r.predictable ? Sw(o) : new n(o, 0).acoth(); + }, + Complex: function(o) { + return o.acoth(); + }, + BigNumber: function(o) { + return new a(1).div(o).atanh(); + } + }); +}), wx = "acsc", vF = ["typed", "config", "Complex", "BigNumber"], hc = /* @__PURE__ */ j(wx, vF, (t) => { + var { + typed: e, + config: r, + Complex: n, + BigNumber: a + } = t; + return e(wx, { + number: function(o) { + return o <= -1 || o >= 1 || r.predictable ? Cw(o) : new n(o, 0).acsc(); + }, + Complex: function(o) { + return o.acsc(); + }, + BigNumber: function(o) { + return new a(1).div(o).asin(); + } + }); +}), Nx = "acsch", gF = ["typed", "BigNumber"], mc = /* @__PURE__ */ j(Nx, gF, (t) => { + var { + typed: e, + BigNumber: r + } = t; + return e(Nx, { + number: Tw, + Complex: function(a) { + return a.acsch(); + }, + BigNumber: function(a) { + return new r(1).div(a).asinh(); + } + }); +}), Dx = "asec", yF = ["typed", "config", "Complex", "BigNumber"], dc = /* @__PURE__ */ j(Dx, yF, (t) => { + var { + typed: e, + config: r, + Complex: n, + BigNumber: a + } = t; + return e(Dx, { + number: function(o) { + return o <= -1 || o >= 1 || r.predictable ? _w(o) : new n(o, 0).asec(); + }, + Complex: function(o) { + return o.asec(); + }, + BigNumber: function(o) { + return new a(1).div(o).acos(); + } + }); +}), Ax = "asech", xF = ["typed", "config", "Complex", "BigNumber"], vc = /* @__PURE__ */ j(Ax, xF, (t) => { + var { + typed: e, + config: r, + Complex: n, + BigNumber: a + } = t; + return e(Ax, { + number: function(o) { + if (o <= 1 && o >= -1 || r.predictable) { + var p = 1 / o; + if (p > 0 || r.predictable) + return Mw(o); + var u = Math.sqrt(p * p - 1); + return new n(Math.log(u - p), Math.PI); + } + return new n(o, 0).asech(); + }, + Complex: function(o) { + return o.asech(); + }, + BigNumber: function(o) { + return new a(1).div(o).acosh(); + } + }); +}), Ex = "asin", bF = ["typed", "config", "Complex"], gc = /* @__PURE__ */ j(Ex, bF, (t) => { + var { + typed: e, + config: r, + Complex: n + } = t; + return e(Ex, { + number: function(s) { + return s >= -1 && s <= 1 || r.predictable ? Math.asin(s) : new n(s, 0).asin(); + }, + Complex: function(s) { + return s.asin(); + }, + BigNumber: function(s) { + return s.asin(); + } + }); +}), wF = "asinh", NF = ["typed"], yc = /* @__PURE__ */ j(wF, NF, (t) => { + var { + typed: e + } = t; + return e("asinh", { + number: Ow, + Complex: function(n) { + return n.asinh(); + }, + BigNumber: function(n) { + return n.asinh(); + } + }); +}), DF = "atan", AF = ["typed"], xc = /* @__PURE__ */ j(DF, AF, (t) => { + var { + typed: e + } = t; + return e("atan", { + number: function(n) { + return Math.atan(n); + }, + Complex: function(n) { + return n.atan(); + }, + BigNumber: function(n) { + return n.atan(); + } + }); +}), Sx = "atan2", EF = ["typed", "matrix", "equalScalar", "BigNumber", "DenseMatrix", "concat"], bc = /* @__PURE__ */ j(Sx, EF, (t) => { + var { + typed: e, + matrix: r, + equalScalar: n, + BigNumber: a, + DenseMatrix: s, + concat: o + } = t, p = Un({ + typed: e, + equalScalar: n + }), u = rn({ + typed: e + }), f = Gw({ + typed: e, + equalScalar: n + }), l = Pr({ + typed: e, + equalScalar: n + }), c = br({ + typed: e, + DenseMatrix: s + }), h = Jt({ + typed: e, + matrix: r, + concat: o + }); + return e(Sx, { + "number, number": Math.atan2, + // Complex numbers doesn't seem to have a reasonable implementation of + // atan2(). Even Matlab removed the support, after they only calculated + // the atan only on base of the real part of the numbers and ignored + // the imaginary. + "BigNumber, BigNumber": (d, g) => a.atan2(d, g) + }, h({ + scalar: "number | BigNumber", + SS: f, + DS: u, + SD: p, + Ss: l, + sS: c + })); +}), Cx = "atanh", SF = ["typed", "config", "Complex"], wc = /* @__PURE__ */ j(Cx, SF, (t) => { + var { + typed: e, + config: r, + Complex: n + } = t; + return e(Cx, { + number: function(s) { + return s <= 1 && s >= -1 || r.predictable ? Fw(s) : new n(s, 0).atanh(); + }, + Complex: function(s) { + return s.atanh(); + }, + BigNumber: function(s) { + return s.atanh(); + } + }); +}), ts = /* @__PURE__ */ j("trigUnit", ["typed"], (t) => { + var { + typed: e + } = t; + return { + Unit: e.referToSelf((r) => (n) => { + if (!n.hasBase(n.constructor.BASE_UNITS.ANGLE)) + throw new TypeError("Unit in function cot is no angle"); + return e.find(r, n.valueType())(n.value); + }) + }; +}), Tx = "cos", CF = ["typed"], Nc = /* @__PURE__ */ j(Tx, CF, (t) => { + var { + typed: e + } = t, r = ts({ + typed: e + }); + return e(Tx, { + number: Math.cos, + "Complex | BigNumber": (n) => n.cos() + }, r); +}), _x = "cosh", TF = ["typed"], Dc = /* @__PURE__ */ j(_x, TF, (t) => { + var { + typed: e + } = t; + return e(_x, { + number: iC, + "Complex | BigNumber": (r) => r.cosh() + }); +}), Mx = "cot", _F = ["typed", "BigNumber"], Ac = /* @__PURE__ */ j(Mx, _F, (t) => { + var { + typed: e, + BigNumber: r + } = t, n = ts({ + typed: e + }); + return e(Mx, { + number: qw, + Complex: (a) => a.cot(), + BigNumber: (a) => new r(1).div(a.tan()) + }, n); +}), Ox = "coth", MF = ["typed", "BigNumber"], Ec = /* @__PURE__ */ j(Ox, MF, (t) => { + var { + typed: e, + BigNumber: r + } = t; + return e(Ox, { + number: Iw, + Complex: (n) => n.coth(), + BigNumber: (n) => new r(1).div(n.tanh()) + }); +}), Fx = "csc", OF = ["typed", "BigNumber"], Sc = /* @__PURE__ */ j(Fx, OF, (t) => { + var { + typed: e, + BigNumber: r + } = t, n = ts({ + typed: e + }); + return e(Fx, { + number: Bw, + Complex: (a) => a.csc(), + BigNumber: (a) => new r(1).div(a.sin()) + }, n); +}), qx = "csch", FF = ["typed", "BigNumber"], Cc = /* @__PURE__ */ j(qx, FF, (t) => { + var { + typed: e, + BigNumber: r + } = t; + return e(qx, { + number: Rw, + Complex: (n) => n.csch(), + BigNumber: (n) => new r(1).div(n.sinh()) + }); +}), Ix = "sec", qF = ["typed", "BigNumber"], Tc = /* @__PURE__ */ j(Ix, qF, (t) => { + var { + typed: e, + BigNumber: r + } = t, n = ts({ + typed: e + }); + return e(Ix, { + number: Lw, + Complex: (a) => a.sec(), + BigNumber: (a) => new r(1).div(a.cos()) + }, n); +}), Bx = "sech", IF = ["typed", "BigNumber"], _c = /* @__PURE__ */ j(Bx, IF, (t) => { + var { + typed: e, + BigNumber: r + } = t; + return e(Bx, { + number: Pw, + Complex: (n) => n.sech(), + BigNumber: (n) => new r(1).div(n.cosh()) + }); +}), Rx = "sin", BF = ["typed"], Mc = /* @__PURE__ */ j(Rx, BF, (t) => { + var { + typed: e + } = t, r = ts({ + typed: e + }); + return e(Rx, { + number: Math.sin, + "Complex | BigNumber": (n) => n.sin() + }, r); +}), Lx = "sinh", RF = ["typed"], Oc = /* @__PURE__ */ j(Lx, RF, (t) => { + var { + typed: e + } = t; + return e(Lx, { + number: kw, + "Complex | BigNumber": (r) => r.sinh() + }); +}), Px = "tan", LF = ["typed"], Fc = /* @__PURE__ */ j(Px, LF, (t) => { + var { + typed: e + } = t, r = ts({ + typed: e + }); + return e(Px, { + number: Math.tan, + "Complex | BigNumber": (n) => n.tan() + }, r); +}), PF = "tanh", kF = ["typed"], qc = /* @__PURE__ */ j(PF, kF, (t) => { + var { + typed: e + } = t; + return e("tanh", { + number: sC, + "Complex | BigNumber": (r) => r.tanh() + }); +}), kx = "setCartesian", $F = ["typed", "size", "subset", "compareNatural", "Index", "DenseMatrix"], Ic = /* @__PURE__ */ j(kx, $F, (t) => { + var { + typed: e, + size: r, + subset: n, + compareNatural: a, + Index: s, + DenseMatrix: o + } = t; + return e(kx, { + "Array | Matrix, Array | Matrix": function(u, f) { + var l = []; + if (n(r(u), new s(0)) !== 0 && n(r(f), new s(0)) !== 0) { + var c = Lt(Array.isArray(u) ? u : u.toArray()).sort(a), h = Lt(Array.isArray(f) ? f : f.toArray()).sort(a); + l = []; + for (var d = 0; d < c.length; d++) + for (var g = 0; g < h.length; g++) + l.push([c[d], h[g]]); + } + return Array.isArray(u) && Array.isArray(f) ? l : new o(l); + } + }); +}), $x = "setDifference", zF = ["typed", "size", "subset", "compareNatural", "Index", "DenseMatrix"], Bc = /* @__PURE__ */ j($x, zF, (t) => { + var { + typed: e, + size: r, + subset: n, + compareNatural: a, + Index: s, + DenseMatrix: o + } = t; + return e($x, { + "Array | Matrix, Array | Matrix": function(u, f) { + var l; + if (n(r(u), new s(0)) === 0) + l = []; + else { + if (n(r(f), new s(0)) === 0) + return Lt(u.toArray()); + var c = za(Lt(Array.isArray(u) ? u : u.toArray()).sort(a)), h = za(Lt(Array.isArray(f) ? f : f.toArray()).sort(a)); + l = []; + for (var d, g = 0; g < c.length; g++) { + d = !1; + for (var v = 0; v < h.length; v++) + if (a(c[g].value, h[v].value) === 0 && c[g].identifier === h[v].identifier) { + d = !0; + break; + } + d || l.push(c[g]); + } + } + return Array.isArray(u) && Array.isArray(f) ? au(l) : new o(au(l)); + } + }); +}), zx = "setDistinct", UF = ["typed", "size", "subset", "compareNatural", "Index", "DenseMatrix"], Rc = /* @__PURE__ */ j(zx, UF, (t) => { + var { + typed: e, + size: r, + subset: n, + compareNatural: a, + Index: s, + DenseMatrix: o + } = t; + return e(zx, { + "Array | Matrix": function(u) { + var f; + if (n(r(u), new s(0)) === 0) + f = []; + else { + var l = Lt(Array.isArray(u) ? u : u.toArray()).sort(a); + f = [], f.push(l[0]); + for (var c = 1; c < l.length; c++) + a(l[c], l[c - 1]) !== 0 && f.push(l[c]); + } + return Array.isArray(u) ? f : new o(f); + } + }); +}), Ux = "setIntersect", GF = ["typed", "size", "subset", "compareNatural", "Index", "DenseMatrix"], Lc = /* @__PURE__ */ j(Ux, GF, (t) => { + var { + typed: e, + size: r, + subset: n, + compareNatural: a, + Index: s, + DenseMatrix: o + } = t; + return e(Ux, { + "Array | Matrix, Array | Matrix": function(u, f) { + var l; + if (n(r(u), new s(0)) === 0 || n(r(f), new s(0)) === 0) + l = []; + else { + var c = za(Lt(Array.isArray(u) ? u : u.toArray()).sort(a)), h = za(Lt(Array.isArray(f) ? f : f.toArray()).sort(a)); + l = []; + for (var d = 0; d < c.length; d++) + for (var g = 0; g < h.length; g++) + if (a(c[d].value, h[g].value) === 0 && c[d].identifier === h[g].identifier) { + l.push(c[d]); + break; + } + } + return Array.isArray(u) && Array.isArray(f) ? au(l) : new o(au(l)); + } + }); +}), Gx = "setIsSubset", HF = ["typed", "size", "subset", "compareNatural", "Index"], Pc = /* @__PURE__ */ j(Gx, HF, (t) => { + var { + typed: e, + size: r, + subset: n, + compareNatural: a, + Index: s + } = t; + return e(Gx, { + "Array | Matrix, Array | Matrix": function(p, u) { + if (n(r(p), new s(0)) === 0) + return !0; + if (n(r(u), new s(0)) === 0) + return !1; + for (var f = za(Lt(Array.isArray(p) ? p : p.toArray()).sort(a)), l = za(Lt(Array.isArray(u) ? u : u.toArray()).sort(a)), c, h = 0; h < f.length; h++) { + c = !1; + for (var d = 0; d < l.length; d++) + if (a(f[h].value, l[d].value) === 0 && f[h].identifier === l[d].identifier) { + c = !0; + break; + } + if (c === !1) + return !1; + } + return !0; + } + }); +}), Hx = "setMultiplicity", QF = ["typed", "size", "subset", "compareNatural", "Index"], kc = /* @__PURE__ */ j(Hx, QF, (t) => { + var { + typed: e, + size: r, + subset: n, + compareNatural: a, + Index: s + } = t; + return e(Hx, { + "number | BigNumber | Fraction | Complex, Array | Matrix": function(p, u) { + if (n(r(u), new s(0)) === 0) + return 0; + for (var f = Lt(Array.isArray(u) ? u : u.toArray()), l = 0, c = 0; c < f.length; c++) + a(f[c], p) === 0 && l++; + return l; + } + }); +}), Qx = "setPowerset", VF = ["typed", "size", "subset", "compareNatural", "Index"], $c = /* @__PURE__ */ j(Qx, VF, (t) => { + var { + typed: e, + size: r, + subset: n, + compareNatural: a, + Index: s + } = t; + return e(Qx, { + "Array | Matrix": function(f) { + if (n(r(f), new s(0)) === 0) + return []; + for (var l = Lt(Array.isArray(f) ? f : f.toArray()).sort(a), c = [], h = 0; h.toString(2).length <= l.length; ) + c.push(o(l, h.toString(2).split("").reverse())), h++; + return p(c); + } + }); + function o(u, f) { + for (var l = [], c = 0; c < f.length; c++) + f[c] === "1" && l.push(u[c]); + return l; + } + function p(u) { + for (var f = [], l = u.length - 1; l > 0; l--) + for (var c = 0; c < l; c++) + u[c].length > u[c + 1].length && (f = u[c], u[c] = u[c + 1], u[c + 1] = f); + return u; + } +}), Vx = "setSize", WF = ["typed", "compareNatural"], zc = /* @__PURE__ */ j(Vx, WF, (t) => { + var { + typed: e, + compareNatural: r + } = t; + return e(Vx, { + "Array | Matrix": function(a) { + return Array.isArray(a) ? Lt(a).length : Lt(a.toArray()).length; + }, + "Array | Matrix, boolean": function(a, s) { + if (s === !1 || a.length === 0) + return Array.isArray(a) ? Lt(a).length : Lt(a.toArray()).length; + for (var o = Lt(Array.isArray(a) ? a : a.toArray()).sort(r), p = 1, u = 1; u < o.length; u++) + r(o[u], o[u - 1]) !== 0 && p++; + return p; + } + }); +}), Wx = "setSymDifference", jF = ["typed", "size", "concat", "subset", "setDifference", "Index"], Uc = /* @__PURE__ */ j(Wx, jF, (t) => { + var { + typed: e, + size: r, + concat: n, + subset: a, + setDifference: s, + Index: o + } = t; + return e(Wx, { + "Array | Matrix, Array | Matrix": function(u, f) { + if (a(r(u), new o(0)) === 0) + return Lt(f); + if (a(r(f), new o(0)) === 0) + return Lt(u); + var l = Lt(u), c = Lt(f); + return n(s(l, c), s(c, l)); + } + }); +}), jx = "setUnion", ZF = ["typed", "size", "concat", "subset", "setIntersect", "setSymDifference", "Index"], Gc = /* @__PURE__ */ j(jx, ZF, (t) => { + var { + typed: e, + size: r, + concat: n, + subset: a, + setIntersect: s, + setSymDifference: o, + Index: p + } = t; + return e(jx, { + "Array | Matrix, Array | Matrix": function(f, l) { + if (a(r(f), new p(0)) === 0) + return Lt(l); + if (a(r(l), new p(0)) === 0) + return Lt(f); + var c = Lt(f), h = Lt(l); + return n(o(c, h), s(c, h)); + } + }); +}), Zx = "add", JF = ["typed", "matrix", "addScalar", "equalScalar", "DenseMatrix", "SparseMatrix", "concat"], Hc = /* @__PURE__ */ j(Zx, JF, (t) => { + var { + typed: e, + matrix: r, + addScalar: n, + equalScalar: a, + DenseMatrix: s, + SparseMatrix: o, + concat: p + } = t, u = Ri({ + typed: e + }), f = _d({ + typed: e, + equalScalar: a + }), l = la({ + typed: e, + DenseMatrix: s + }), c = Jt({ + typed: e, + matrix: r, + concat: p + }); + return e(Zx, { + "any, any": n, + "any, any, ...any": e.referToSelf((h) => (d, g, v) => { + for (var N = h(d, g), b = 0; b < v.length; b++) + N = h(N, v[b]); + return N; + }) + }, c({ + elop: n, + DS: u, + SS: f, + Ss: l + })); +}), Jx = "hypot", YF = ["typed", "abs", "addScalar", "divideScalar", "multiplyScalar", "sqrt", "smaller", "isPositive"], Qc = /* @__PURE__ */ j(Jx, YF, (t) => { + var { + typed: e, + abs: r, + addScalar: n, + divideScalar: a, + multiplyScalar: s, + sqrt: o, + smaller: p, + isPositive: u + } = t; + return e(Jx, { + "... number | BigNumber": f, + Array: f, + Matrix: (l) => f(Lt(l.toArray())) + }); + function f(l) { + for (var c = 0, h = 0, d = 0; d < l.length; d++) { + if (Mn(l[d])) + throw new TypeError("Unexpected type of argument to hypot"); + var g = r(l[d]); + p(h, g) ? (c = s(c, s(a(h, g), a(h, g))), c = n(c, 1), h = g) : c = n(c, u(g) ? s(a(g, h), a(g, h)) : g); + } + return s(h, o(c)); + } +}), Yx = "norm", XF = ["typed", "abs", "add", "pow", "conj", "sqrt", "multiply", "equalScalar", "larger", "smaller", "matrix", "ctranspose", "eigs"], Vc = /* @__PURE__ */ j(Yx, XF, (t) => { + var { + typed: e, + abs: r, + add: n, + pow: a, + conj: s, + sqrt: o, + multiply: p, + equalScalar: u, + larger: f, + smaller: l, + matrix: c, + ctranspose: h, + eigs: d + } = t; + return e(Yx, { + number: Math.abs, + Complex: function(_) { + return _.abs(); + }, + BigNumber: function(_) { + return _.abs(); + }, + boolean: function(_) { + return Math.abs(_); + }, + Array: function(_) { + return A(c(_), 2); + }, + Matrix: function(_) { + return A(_, 2); + }, + "Array, number | BigNumber | string": function(_, O) { + return A(c(_), O); + }, + "Matrix, number | BigNumber | string": function(_, O) { + return A(_, O); + } + }); + function g(M) { + var _ = 0; + return M.forEach(function(O) { + var T = r(O); + f(T, _) && (_ = T); + }, !0), _; + } + function v(M) { + var _; + return M.forEach(function(O) { + var T = r(O); + (!_ || l(T, _)) && (_ = T); + }, !0), _ || 0; + } + function N(M, _) { + if (_ === Number.POSITIVE_INFINITY || _ === "inf") + return g(M); + if (_ === Number.NEGATIVE_INFINITY || _ === "-inf") + return v(M); + if (_ === "fro") + return A(M, 2); + if (typeof _ == "number" && !isNaN(_)) { + if (!u(_, 0)) { + var O = 0; + return M.forEach(function(T) { + O = n(a(r(T), _), O); + }, !0), a(O, 1 / _); + } + return Number.POSITIVE_INFINITY; + } + throw new Error("Unsupported parameter value"); + } + function b(M) { + var _ = 0; + return M.forEach(function(O, T) { + _ = n(_, p(O, s(O))); + }), r(o(_)); + } + function C(M) { + var _ = [], O = 0; + return M.forEach(function(T, I) { + var q = I[1], $ = n(_[q] || 0, r(T)); + f($, O) && (O = $), _[q] = $; + }, !0), O; + } + function x(M) { + var _ = M.size(); + if (_[0] !== _[1]) + throw new RangeError("Invalid matrix dimensions"); + var O = h(M), T = p(O, M), I = d(T).values.toArray(), q = I[I.length - 1]; + return r(o(q)); + } + function E(M) { + var _ = [], O = 0; + return M.forEach(function(T, I) { + var q = I[0], $ = n(_[q] || 0, r(T)); + f($, O) && (O = $), _[q] = $; + }, !0), O; + } + function D(M, _) { + if (_ === 1) + return C(M); + if (_ === Number.POSITIVE_INFINITY || _ === "inf") + return E(M); + if (_ === "fro") + return b(M); + if (_ === 2) + return x(M); + throw new Error("Unsupported parameter value " + _); + } + function A(M, _) { + var O = M.size(); + if (O.length === 1) + return N(M, _); + if (O.length === 2) { + if (O[0] && O[1]) + return D(M, _); + throw new RangeError("Invalid matrix dimensions"); + } + } +}), Xx = "dot", KF = ["typed", "addScalar", "multiplyScalar", "conj", "size"], Wc = /* @__PURE__ */ j(Xx, KF, (t) => { + var { + typed: e, + addScalar: r, + multiplyScalar: n, + conj: a, + size: s + } = t; + return e(Xx, { + "Array | DenseMatrix, Array | DenseMatrix": p, + "SparseMatrix, SparseMatrix": u + }); + function o(l, c) { + var h = f(l), d = f(c), g, v; + if (h.length === 1) + g = h[0]; + else if (h.length === 2 && h[1] === 1) + g = h[0]; + else + throw new RangeError("Expected a column vector, instead got a matrix of size (" + h.join(", ") + ")"); + if (d.length === 1) + v = d[0]; + else if (d.length === 2 && d[1] === 1) + v = d[0]; + else + throw new RangeError("Expected a column vector, instead got a matrix of size (" + d.join(", ") + ")"); + if (g !== v) throw new RangeError("Vectors must have equal length (" + g + " != " + v + ")"); + if (g === 0) throw new RangeError("Cannot calculate the dot product of empty vectors"); + return g; + } + function p(l, c) { + var h = o(l, c), d = tt(l) ? l._data : l, g = tt(l) ? l._datatype || l.getDataType() : void 0, v = tt(c) ? c._data : c, N = tt(c) ? c._datatype || c.getDataType() : void 0, b = f(l).length === 2, C = f(c).length === 2, x = r, E = n; + if (g && N && g === N && typeof g == "string" && g !== "mixed") { + var D = g; + x = e.find(r, [D, D]), E = e.find(n, [D, D]); + } + if (!b && !C) { + for (var A = E(a(d[0]), v[0]), M = 1; M < h; M++) + A = x(A, E(a(d[M]), v[M])); + return A; + } + if (!b && C) { + for (var _ = E(a(d[0]), v[0][0]), O = 1; O < h; O++) + _ = x(_, E(a(d[O]), v[O][0])); + return _; + } + if (b && !C) { + for (var T = E(a(d[0][0]), v[0]), I = 1; I < h; I++) + T = x(T, E(a(d[I][0]), v[I])); + return T; + } + if (b && C) { + for (var q = E(a(d[0][0]), v[0][0]), $ = 1; $ < h; $++) + q = x(q, E(a(d[$][0]), v[$][0])); + return q; + } + } + function u(l, c) { + o(l, c); + for (var h = l._index, d = l._values, g = c._index, v = c._values, N = 0, b = r, C = n, x = 0, E = 0; x < h.length && E < g.length; ) { + var D = h[x], A = g[E]; + if (D < A) { + x++; + continue; + } + if (D > A) { + E++; + continue; + } + D === A && (N = b(N, C(d[x], v[E])), x++, E++); + } + return N; + } + function f(l) { + return tt(l) ? l.size() : s(l); + } +}), eq = "trace", tq = ["typed", "matrix", "add"], jc = /* @__PURE__ */ j(eq, tq, (t) => { + var { + typed: e, + matrix: r, + add: n + } = t; + return e("trace", { + Array: function(p) { + return a(r(p)); + }, + SparseMatrix: s, + DenseMatrix: a, + any: nt + }); + function a(o) { + var p = o._size, u = o._data; + switch (p.length) { + case 1: + if (p[0] === 1) + return nt(u[0]); + throw new RangeError("Matrix must be square (size: " + Dt(p) + ")"); + case 2: { + var f = p[0], l = p[1]; + if (f === l) { + for (var c = 0, h = 0; h < f; h++) + c = n(c, u[h][h]); + return c; + } else + throw new RangeError("Matrix must be square (size: " + Dt(p) + ")"); + } + default: + throw new RangeError("Matrix must be two dimensional (size: " + Dt(p) + ")"); + } + } + function s(o) { + var p = o._values, u = o._index, f = o._ptr, l = o._size, c = l[0], h = l[1]; + if (c === h) { + var d = 0; + if (p.length > 0) + for (var g = 0; g < h; g++) + for (var v = f[g], N = f[g + 1], b = v; b < N; b++) { + var C = u[b]; + if (C === g) { + d = n(d, p[b]); + break; + } + if (C > g) + break; + } + return d; + } + throw new RangeError("Matrix must be square (size: " + Dt(l) + ")"); + } +}), Kx = "index", rq = ["typed", "Index"], Zc = /* @__PURE__ */ j(Kx, rq, (t) => { + var { + typed: e, + Index: r + } = t; + return e(Kx, { + "...number | string | BigNumber | Range | Array | Matrix": function(a) { + var s = a.map(function(p) { + return ct(p) ? p.toNumber() : Rt(p) || tt(p) ? p.map(function(u) { + return ct(u) ? u.toNumber() : u; + }) : p; + }), o = new r(); + return r.apply(o, s), o; + } + }); +}), Ww = /* @__PURE__ */ new Set(["end"]), nq = "Node", iq = ["mathWithTransform"], Jc = /* @__PURE__ */ j(nq, iq, (t) => { + var { + mathWithTransform: e + } = t; + function r(a) { + for (var s of [...Ww]) + if (a.has(s)) + throw new Error('Scope contains an illegal symbol, "' + s + '" is a reserved keyword'); + } + class n { + get type() { + return "Node"; + } + get isNode() { + return !0; + } + /** + * Evaluate the node + * @param {Object} [scope] Scope to read/write variables + * @return {*} Returns the result + */ + evaluate(s) { + return this.compile().evaluate(s); + } + /** + * Compile the node into an optimized, evauatable JavaScript function + * @return {{evaluate: function([Object])}} object + * Returns an object with a function 'evaluate', + * which can be invoked as expr.evaluate([scope: Object]), + * where scope is an optional object with + * variables. + */ + compile() { + var s = this._compile(e, {}), o = {}, p = null; + function u(f) { + var l = Ia(f); + return r(l), s(l, o, p); + } + return { + evaluate: u + }; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(s, o) { + throw new Error("Method _compile must be implemented by type " + this.type); + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(s) { + throw new Error("Cannot run forEach on a Node interface"); + } + /** + * Create a new Node whose children are the results of calling the + * provided callback function for each child of the original node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {OperatorNode} Returns a transformed copy of the node + */ + map(s) { + throw new Error("Cannot run map on a Node interface"); + } + /** + * Validate whether an object is a Node, for use with map + * @param {Node} node + * @returns {Node} Returns the input if it's a node, else throws an Error + * @protected + */ + _ifNode(s) { + if (!Ut(s)) + throw new TypeError("Callback function must return a Node"); + return s; + } + /** + * Recursively traverse all nodes in a node tree. Executes given callback for + * this node and each of its child nodes. + * @param {function(node: Node, path: string, parent: Node)} callback + * A callback called for every node in the node tree. + */ + traverse(s) { + s(this, null, null); + function o(p, u) { + p.forEach(function(f, l, c) { + u(f, l, c), o(f, u); + }); + } + o(this, s); + } + /** + * Recursively transform a node tree via a transform function. + * + * For example, to replace all nodes of type SymbolNode having name 'x' with + * a ConstantNode with value 2: + * + * const res = Node.transform(function (node, path, parent) { + * if (node && node.isSymbolNode) && (node.name === 'x')) { + * return new ConstantNode(2) + * } + * else { + * return node + * } + * }) + * + * @param {function(node: Node, path: string, parent: Node) : Node} callback + * A mapping function accepting a node, and returning + * a replacement for the node or the original node. The "signature" + * of the callback must be: + * callback(node: Node, index: string, parent: Node) : Node + * @return {Node} Returns the original node or its replacement + */ + transform(s) { + function o(p, u, f) { + var l = s(p, u, f); + return l !== p ? l : p.map(o); + } + return o(this, null, null); + } + /** + * Find any node in the node tree matching given filter function. For + * example, to find all nodes of type SymbolNode having name 'x': + * + * const results = Node.filter(function (node) { + * return (node && node.isSymbolNode) && (node.name === 'x') + * }) + * + * @param {function(node: Node, path: string, parent: Node) : Node} callback + * A test function returning true when a node matches, and false + * otherwise. Function signature: + * callback(node: Node, index: string, parent: Node) : boolean + * @return {Node[]} nodes + * An array with nodes matching given filter criteria + */ + filter(s) { + var o = []; + return this.traverse(function(p, u, f) { + s(p, u, f) && o.push(p); + }), o; + } + /** + * Create a shallow clone of this node + * @return {Node} + */ + clone() { + throw new Error("Cannot clone a Node interface"); + } + /** + * Create a deep clone of this node + * @return {Node} + */ + cloneDeep() { + return this.map(function(s) { + return s.cloneDeep(); + }); + } + /** + * Deep compare this node with another node. + * @param {Node} other + * @return {boolean} Returns true when both nodes are of the same type and + * contain the same values (as do their childs) + */ + equals(s) { + return s ? this.type === s.type && ia(this, s) : !1; + } + /** + * Get string representation. (wrapper function) + * + * This function can get an object of the following form: + * { + * handler: //This can be a callback function of the form + * // "function callback(node, options)"or + * // a map that maps function names (used in FunctionNodes) + * // to callbacks + * parenthesis: "keep" //the parenthesis option (This is optional) + * } + * + * @param {Object} [options] + * @return {string} + */ + toString(s) { + var o = this._getCustomString(s); + return typeof o < "u" ? o : this._toString(s); + } + /** + * Internal function to generate the string output. + * This has to be implemented by every Node + * + * @throws {Error} + */ + _toString() { + throw new Error("_toString not implemented for " + this.type); + } + /** + * Get a JSON representation of the node + * Both .toJSON() and the static .fromJSON(json) should be implemented by all + * implementations of Node + * @returns {Object} + */ + toJSON() { + throw new Error("Cannot serialize object: toJSON not implemented by " + this.type); + } + /** + * Get HTML representation. (wrapper function) + * + * This function can get an object of the following form: + * { + * handler: //This can be a callback function of the form + * // "function callback(node, options)" or + * // a map that maps function names (used in FunctionNodes) + * // to callbacks + * parenthesis: "keep" //the parenthesis option (This is optional) + * } + * + * @param {Object} [options] + * @return {string} + */ + toHTML(s) { + var o = this._getCustomString(s); + return typeof o < "u" ? o : this._toHTML(s); + } + /** + * Internal function to generate the HTML output. + * This has to be implemented by every Node + * + * @throws {Error} + */ + _toHTML() { + throw new Error("_toHTML not implemented for " + this.type); + } + /** + * Get LaTeX representation. (wrapper function) + * + * This function can get an object of the following form: + * { + * handler: //This can be a callback function of the form + * // "function callback(node, options)"or + * // a map that maps function names (used in FunctionNodes) + * // to callbacks + * parenthesis: "keep" //the parenthesis option (This is optional) + * } + * + * @param {Object} [options] + * @return {string} + */ + toTex(s) { + var o = this._getCustomString(s); + return typeof o < "u" ? o : this._toTex(s); + } + /** + * Internal function to generate the LaTeX output. + * This has to be implemented by every Node + * + * @param {Object} [options] + * @throws {Error} + */ + _toTex(s) { + throw new Error("_toTex not implemented for " + this.type); + } + /** + * Helper used by `to...` functions. + */ + _getCustomString(s) { + if (s && typeof s == "object") + switch (typeof s.handler) { + case "object": + case "undefined": + return; + case "function": + return s.handler(this, s); + default: + throw new TypeError("Object or function expected as callback"); + } + } + /** + * Get identifier. + * @return {string} + */ + getIdentifier() { + return this.type; + } + /** + * Get the content of the current Node. + * @return {Node} node + **/ + getContent() { + return this; + } + } + return n; +}, { + isClass: !0, + isNode: !0 +}); +function nn(t) { + return t && t.isIndexError ? new yn(t.index + 1, t.min + 1, t.max !== void 0 ? t.max + 1 : void 0) : t; +} +function jw(t) { + var { + subset: e + } = t; + return function(n, a) { + try { + if (Array.isArray(n)) + return e(n, a); + if (n && typeof n.subset == "function") + return n.subset(a); + if (typeof n == "string") + return e(n, a); + if (typeof n == "object") { + if (!a.isObjectProperty()) + throw new TypeError("Cannot apply a numeric index as object property"); + return Kr(n, a.getObjectProperty()); + } else + throw new TypeError("Cannot apply index: unsupported type of object"); + } catch (s) { + throw nn(s); + } + }; +} +var Io = "AccessorNode", aq = ["subset", "Node"], Yc = /* @__PURE__ */ j(Io, aq, (t) => { + var { + subset: e, + Node: r + } = t, n = jw({ + subset: e + }); + function a(o) { + return !(pi(o) || un(o) || Ct(o) || Wn(o) || ja(o) || kn(o) || mr(o)); + } + class s extends r { + /** + * @constructor AccessorNode + * @extends {Node} + * Access an object property or get a matrix subset + * + * @param {Node} object The object from which to retrieve + * a property or subset. + * @param {IndexNode} index IndexNode containing ranges + */ + constructor(p, u) { + if (super(), !Ut(p)) + throw new TypeError('Node expected for parameter "object"'); + if (!qi(u)) + throw new TypeError('IndexNode expected for parameter "index"'); + this.object = p, this.index = u; + } + // readonly property name + get name() { + return this.index ? this.index.isObjectProperty() ? this.index.getObjectProperty() : "" : this.object.name || ""; + } + get type() { + return Io; + } + get isAccessorNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(p, u) { + var f = this.object._compile(p, u), l = this.index._compile(p, u); + if (this.index.isObjectProperty()) { + var c = this.index.getObjectProperty(); + return function(d, g, v) { + return Kr(f(d, g, v), c); + }; + } else + return function(d, g, v) { + var N = f(d, g, v), b = l(d, g, N); + return n(N, b); + }; + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(p) { + p(this.object, "object", this), p(this.index, "index", this); + } + /** + * Create a new AccessorNode whose children are the results of calling + * the provided callback function for each child of the original node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {AccessorNode} Returns a transformed copy of the node + */ + map(p) { + return new s(this._ifNode(p(this.object, "object", this)), this._ifNode(p(this.index, "index", this))); + } + /** + * Create a clone of this node, a shallow copy + * @return {AccessorNode} + */ + clone() { + return new s(this.object, this.index); + } + /** + * Get string representation + * @param {Object} options + * @return {string} + */ + _toString(p) { + var u = this.object.toString(p); + return a(this.object) && (u = "(" + u + ")"), u + this.index.toString(p); + } + /** + * Get HTML representation + * @param {Object} options + * @return {string} + */ + _toHTML(p) { + var u = this.object.toHTML(p); + return a(this.object) && (u = '(' + u + ')'), u + this.index.toHTML(p); + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} + */ + _toTex(p) { + var u = this.object.toTex(p); + return a(this.object) && (u = "\\left(' + object + '\\right)"), u + this.index.toTex(p); + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: Io, + object: this.object, + index: this.index + }; + } + /** + * Instantiate an AccessorNode from its JSON representation + * @param {Object} json + * An object structured like + * `{"mathjs": "AccessorNode", object: ..., index: ...}`, + * where mathjs is optional + * @returns {AccessorNode} + */ + static fromJSON(p) { + return new s(p.object, p.index); + } + } + return xr(s, "name", Io), s; +}, { + isClass: !0, + isNode: !0 +}), Bo = "ArrayNode", sq = ["Node"], Xc = /* @__PURE__ */ j(Bo, sq, (t) => { + var { + Node: e + } = t; + class r extends e { + /** + * @constructor ArrayNode + * @extends {Node} + * Holds an 1-dimensional array with items + * @param {Node[]} [items] 1 dimensional array with items + */ + constructor(a) { + if (super(), this.items = a || [], !Array.isArray(this.items) || !this.items.every(Ut)) + throw new TypeError("Array containing Nodes expected"); + } + get type() { + return Bo; + } + get isArrayNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(a, s) { + var o = fi(this.items, function(f) { + return f._compile(a, s); + }), p = a.config.matrix !== "Array"; + if (p) { + var u = a.matrix; + return function(l, c, h) { + return u(fi(o, function(d) { + return d(l, c, h); + })); + }; + } else + return function(l, c, h) { + return fi(o, function(d) { + return d(l, c, h); + }); + }; + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(a) { + for (var s = 0; s < this.items.length; s++) { + var o = this.items[s]; + a(o, "items[" + s + "]", this); + } + } + /** + * Create a new ArrayNode whose children are the results of calling + * the provided callback function for each child of the original node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {ArrayNode} Returns a transformed copy of the node + */ + map(a) { + for (var s = [], o = 0; o < this.items.length; o++) + s[o] = this._ifNode(a(this.items[o], "items[" + o + "]", this)); + return new r(s); + } + /** + * Create a clone of this node, a shallow copy + * @return {ArrayNode} + */ + clone() { + return new r(this.items.slice(0)); + } + /** + * Get string representation + * @param {Object} options + * @return {string} str + * @override + */ + _toString(a) { + var s = this.items.map(function(o) { + return o.toString(a); + }); + return "[" + s.join(", ") + "]"; + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: Bo, + items: this.items + }; + } + /** + * Instantiate an ArrayNode from its JSON representation + * @param {Object} json An object structured like + * `{"mathjs": "ArrayNode", items: [...]}`, + * where mathjs is optional + * @returns {ArrayNode} + */ + static fromJSON(a) { + return new r(a.items); + } + /** + * Get HTML representation + * @param {Object} options + * @return {string} str + * @override + */ + _toHTML(a) { + var s = this.items.map(function(o) { + return o.toHTML(a); + }); + return '[' + s.join(',') + ']'; + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} str + */ + _toTex(a) { + function s(o, p) { + var u = o.some(un) && !o.every(un), f = p || u, l = f ? "&" : "\\\\", c = o.map(function(h) { + return h.items ? s(h.items, !p) : h.toTex(a); + }).join(l); + return u || !f || f && !p ? "\\begin{bmatrix}" + c + "\\end{bmatrix}" : c; + } + return s(this.items, !1); + } + } + return xr(r, "name", Bo), r; +}, { + isClass: !0, + isNode: !0 +}); +function oq(t) { + var { + subset: e, + matrix: r + } = t; + return function(a, s, o) { + try { + if (Array.isArray(a)) { + var p = r(a).subset(s, o).valueOf(); + return p.forEach((u, f) => { + a[f] = u; + }), a; + } else { + if (a && typeof a.subset == "function") + return a.subset(s, o); + if (typeof a == "string") + return e(a, s, o); + if (typeof a == "object") { + if (!s.isObjectProperty()) + throw TypeError("Cannot apply a numeric index as object property"); + return La(a, s.getObjectProperty(), o), a; + } else + throw new TypeError("Cannot apply index: unsupported type of object"); + } + } catch (u) { + throw nn(u); + } + }; +} +var Rn = [{ + // assignment + AssignmentNode: {}, + FunctionAssignmentNode: {} +}, { + // conditional expression + ConditionalNode: { + latexLeftParens: !1, + latexRightParens: !1, + latexParens: !1 + // conditionals don't need parentheses in LaTeX because + // they are 2 dimensional + } +}, { + // logical or + "OperatorNode:or": { + op: "or", + associativity: "left", + associativeWith: [] + } +}, { + // logical xor + "OperatorNode:xor": { + op: "xor", + associativity: "left", + associativeWith: [] + } +}, { + // logical and + "OperatorNode:and": { + op: "and", + associativity: "left", + associativeWith: [] + } +}, { + // bitwise or + "OperatorNode:bitOr": { + op: "|", + associativity: "left", + associativeWith: [] + } +}, { + // bitwise xor + "OperatorNode:bitXor": { + op: "^|", + associativity: "left", + associativeWith: [] + } +}, { + // bitwise and + "OperatorNode:bitAnd": { + op: "&", + associativity: "left", + associativeWith: [] + } +}, { + // relational operators + "OperatorNode:equal": { + op: "==", + associativity: "left", + associativeWith: [] + }, + "OperatorNode:unequal": { + op: "!=", + associativity: "left", + associativeWith: [] + }, + "OperatorNode:smaller": { + op: "<", + associativity: "left", + associativeWith: [] + }, + "OperatorNode:larger": { + op: ">", + associativity: "left", + associativeWith: [] + }, + "OperatorNode:smallerEq": { + op: "<=", + associativity: "left", + associativeWith: [] + }, + "OperatorNode:largerEq": { + op: ">=", + associativity: "left", + associativeWith: [] + }, + RelationalNode: { + associativity: "left", + associativeWith: [] + } +}, { + // bitshift operators + "OperatorNode:leftShift": { + op: "<<", + associativity: "left", + associativeWith: [] + }, + "OperatorNode:rightArithShift": { + op: ">>", + associativity: "left", + associativeWith: [] + }, + "OperatorNode:rightLogShift": { + op: ">>>", + associativity: "left", + associativeWith: [] + } +}, { + // unit conversion + "OperatorNode:to": { + op: "to", + associativity: "left", + associativeWith: [] + } +}, { + // range + RangeNode: {} +}, { + // addition, subtraction + "OperatorNode:add": { + op: "+", + associativity: "left", + associativeWith: ["OperatorNode:add", "OperatorNode:subtract"] + }, + "OperatorNode:subtract": { + op: "-", + associativity: "left", + associativeWith: [] + } +}, { + // multiply, divide, modulus + "OperatorNode:multiply": { + op: "*", + associativity: "left", + associativeWith: ["OperatorNode:multiply", "OperatorNode:divide", "Operator:dotMultiply", "Operator:dotDivide"] + }, + "OperatorNode:divide": { + op: "/", + associativity: "left", + associativeWith: [], + latexLeftParens: !1, + latexRightParens: !1, + latexParens: !1 + // fractions don't require parentheses because + // they're 2 dimensional, so parens aren't needed + // in LaTeX + }, + "OperatorNode:dotMultiply": { + op: ".*", + associativity: "left", + associativeWith: ["OperatorNode:multiply", "OperatorNode:divide", "OperatorNode:dotMultiply", "OperatorNode:doDivide"] + }, + "OperatorNode:dotDivide": { + op: "./", + associativity: "left", + associativeWith: [] + }, + "OperatorNode:mod": { + op: "mod", + associativity: "left", + associativeWith: [] + } +}, { + // Repeat multiplication for implicit multiplication + "OperatorNode:multiply": { + associativity: "left", + associativeWith: ["OperatorNode:multiply", "OperatorNode:divide", "Operator:dotMultiply", "Operator:dotDivide"] + } +}, { + // unary prefix operators + "OperatorNode:unaryPlus": { + op: "+", + associativity: "right" + }, + "OperatorNode:unaryMinus": { + op: "-", + associativity: "right" + }, + "OperatorNode:bitNot": { + op: "~", + associativity: "right" + }, + "OperatorNode:not": { + op: "not", + associativity: "right" + } +}, { + // exponentiation + "OperatorNode:pow": { + op: "^", + associativity: "right", + associativeWith: [], + latexRightParens: !1 + // the exponent doesn't need parentheses in + // LaTeX because it's 2 dimensional + // (it's on top) + }, + "OperatorNode:dotPow": { + op: ".^", + associativity: "right", + associativeWith: [] + } +}, { + // factorial + "OperatorNode:factorial": { + op: "!", + associativity: "left" + } +}, { + // matrix transpose + "OperatorNode:ctranspose": { + op: "'", + associativity: "left" + } +}]; +function Ro(t, e) { + if (!e || e !== "auto") return t; + for (var r = t; kn(r); ) r = r.content; + return r; +} +function Qt(t, e, r, n) { + var a = t; + e !== "keep" && (a = t.getContent()); + for (var s = a.getIdentifier(), o = null, p = 0; p < Rn.length; p++) + if (s in Rn[p]) { + o = p; + break; + } + if (s === "OperatorNode:multiply" && a.implicit && r !== "show") { + var u = Ro(a.args[0], e); + !(Ct(u) && n && n.getIdentifier() === "OperatorNode:divide" && zm(Ro(n.args[0], e))) && !(u.getIdentifier() === "OperatorNode:divide" && zm(Ro(u.args[0], e)) && Ct(Ro(u.args[1]))) && (o += 1); + } + return o; +} +function Ss(t, e) { + var r = t; + e !== "keep" && (r = t.getContent()); + var n = r.getIdentifier(), a = Qt(r, e); + if (a === null) + return null; + var s = Rn[a][n]; + if (We(s, "associativity")) { + if (s.associativity === "left") + return "left"; + if (s.associativity === "right") + return "right"; + throw Error("'" + n + "' has the invalid associativity '" + s.associativity + "'."); + } + return null; +} +function Pm(t, e, r) { + var n = r !== "keep" ? t.getContent() : t, a = r !== "keep" ? t.getContent() : e, s = n.getIdentifier(), o = a.getIdentifier(), p = Qt(n, r); + if (p === null) + return null; + var u = Rn[p][s]; + if (We(u, "associativeWith") && u.associativeWith instanceof Array) { + for (var f = 0; f < u.associativeWith.length; f++) + if (u.associativeWith[f] === o) + return !0; + return !1; + } + return null; +} +function uq(t) { + var e = "OperatorNode:" + t; + for (var r of Rn) + if (e in r) + return r[e].op; + return null; +} +var Lo = "AssignmentNode", lq = [ + "subset", + "?matrix", + // FIXME: should not be needed at all, should be handled by subset + "Node" +], Kc = /* @__PURE__ */ j(Lo, lq, (t) => { + var { + subset: e, + matrix: r, + Node: n + } = t, a = jw({ + subset: e + }), s = oq({ + subset: e, + matrix: r + }); + function o(u, f, l) { + f || (f = "keep"); + var c = Qt(u, f, l), h = Qt(u.value, f, l); + return f === "all" || h !== null && h <= c; + } + class p extends n { + /** + * @constructor AssignmentNode + * @extends {Node} + * + * Define a symbol, like `a=3.2`, update a property like `a.b=3.2`, or + * replace a subset of a matrix like `A[2,2]=42`. + * + * Syntax: + * + * new AssignmentNode(symbol, value) + * new AssignmentNode(object, index, value) + * + * Usage: + * + * new AssignmentNode(new SymbolNode('a'), new ConstantNode(2)) // a=2 + * new AssignmentNode(new SymbolNode('a'), + * new IndexNode('b'), + * new ConstantNode(2)) // a.b=2 + * new AssignmentNode(new SymbolNode('a'), + * new IndexNode(1, 2), + * new ConstantNode(3)) // a[1,2]=3 + * + * @param {SymbolNode | AccessorNode} object + * Object on which to assign a value + * @param {IndexNode} [index=null] + * Index, property name or matrix index. Optional. If not provided + * and `object` is a SymbolNode, the property is assigned to the + * global scope. + * @param {Node} value + * The value to be assigned + */ + constructor(f, l, c) { + if (super(), this.object = f, this.index = c ? l : null, this.value = c || l, !mr(f) && !pi(f)) + throw new TypeError('SymbolNode or AccessorNode expected as "object"'); + if (mr(f) && f.name === "end") + throw new Error('Cannot assign to symbol "end"'); + if (this.index && !qi(this.index)) + throw new TypeError('IndexNode expected as "index"'); + if (!Ut(this.value)) + throw new TypeError('Node expected as "value"'); + } + // class name for typing purposes: + // readonly property name + get name() { + return this.index ? this.index.isObjectProperty() ? this.index.getObjectProperty() : "" : this.object.name || ""; + } + get type() { + return Lo; + } + get isAssignmentNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(f, l) { + var c = this.object._compile(f, l), h = this.index ? this.index._compile(f, l) : null, d = this.value._compile(f, l), g = this.object.name; + if (this.index) + if (this.index.isObjectProperty()) { + var v = this.index.getObjectProperty(); + return function(E, D, A) { + var M = c(E, D, A), _ = d(E, D, A); + return La(M, v, _), _; + }; + } else { + if (mr(this.object)) + return function(E, D, A) { + var M = c(E, D, A), _ = d(E, D, A), O = h(E, D, M); + return E.set(g, s(M, O, _)), _; + }; + var N = this.object.object._compile(f, l); + if (this.object.index.isObjectProperty()) { + var b = this.object.index.getObjectProperty(); + return function(E, D, A) { + var M = N(E, D, A), _ = Kr(M, b), O = h(E, D, _), T = d(E, D, A); + return La(M, b, s(_, O, T)), T; + }; + } else { + var C = this.object.index._compile(f, l); + return function(E, D, A) { + var M = N(E, D, A), _ = C(E, D, M), O = a(M, _), T = h(E, D, O), I = d(E, D, A); + return s(M, _, s(O, T, I)), I; + }; + } + } + else { + if (!mr(this.object)) + throw new TypeError("SymbolNode expected as object"); + return function(E, D, A) { + var M = d(E, D, A); + return E.set(g, M), M; + }; + } + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(f) { + f(this.object, "object", this), this.index && f(this.index, "index", this), f(this.value, "value", this); + } + /** + * Create a new AssignmentNode whose children are the results of calling + * the provided callback function for each child of the original node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {AssignmentNode} Returns a transformed copy of the node + */ + map(f) { + var l = this._ifNode(f(this.object, "object", this)), c = this.index ? this._ifNode(f(this.index, "index", this)) : null, h = this._ifNode(f(this.value, "value", this)); + return new p(l, c, h); + } + /** + * Create a clone of this node, a shallow copy + * @return {AssignmentNode} + */ + clone() { + return new p(this.object, this.index, this.value); + } + /** + * Get string representation + * @param {Object} options + * @return {string} + */ + _toString(f) { + var l = this.object.toString(f), c = this.index ? this.index.toString(f) : "", h = this.value.toString(f); + return o(this, f && f.parenthesis, f && f.implicit) && (h = "(" + h + ")"), l + c + " = " + h; + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: Lo, + object: this.object, + index: this.index, + value: this.value + }; + } + /** + * Instantiate an AssignmentNode from its JSON representation + * @param {Object} json + * An object structured like + * `{"mathjs": "AssignmentNode", object: ..., index: ..., value: ...}`, + * where mathjs is optional + * @returns {AssignmentNode} + */ + static fromJSON(f) { + return new p(f.object, f.index, f.value); + } + /** + * Get HTML representation + * @param {Object} options + * @return {string} + */ + _toHTML(f) { + var l = this.object.toHTML(f), c = this.index ? this.index.toHTML(f) : "", h = this.value.toHTML(f); + return o(this, f && f.parenthesis, f && f.implicit) && (h = '(' + h + ')'), l + c + '=' + h; + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} + */ + _toTex(f) { + var l = this.object.toTex(f), c = this.index ? this.index.toTex(f) : "", h = this.value.toTex(f); + return o(this, f && f.parenthesis, f && f.implicit) && (h = "\\left(".concat(h, "\\right)")), l + c + "=" + h; + } + } + return xr(p, "name", Lo), p; +}, { + isClass: !0, + isNode: !0 +}), Po = "BlockNode", cq = ["ResultSet", "Node"], ef = /* @__PURE__ */ j(Po, cq, (t) => { + var { + ResultSet: e, + Node: r + } = t; + class n extends r { + /** + * @constructor BlockNode + * @extends {Node} + * Holds a set with blocks + * @param {Array.<{node: Node} | {node: Node, visible: boolean}>} blocks + * An array with blocks, where a block is constructed as an + * Object with properties block, which is a Node, and visible, + * which is a boolean. The property visible is optional and + * is true by default + */ + constructor(s) { + if (super(), !Array.isArray(s)) throw new Error("Array expected"); + this.blocks = s.map(function(o) { + var p = o && o.node, u = o && o.visible !== void 0 ? o.visible : !0; + if (!Ut(p)) throw new TypeError('Property "node" must be a Node'); + if (typeof u != "boolean") + throw new TypeError('Property "visible" must be a boolean'); + return { + node: p, + visible: u + }; + }); + } + get type() { + return Po; + } + get isBlockNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(s, o) { + var p = fi(this.blocks, function(u) { + return { + evaluate: u.node._compile(s, o), + visible: u.visible + }; + }); + return function(f, l, c) { + var h = []; + return Pu(p, function(g) { + var v = g.evaluate(f, l, c); + g.visible && h.push(v); + }), new e(h); + }; + } + /** + * Execute a callback for each of the child blocks of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(s) { + for (var o = 0; o < this.blocks.length; o++) + s(this.blocks[o].node, "blocks[" + o + "].node", this); + } + /** + * Create a new BlockNode whose children are the results of calling + * the provided callback function for each child of the original node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {BlockNode} Returns a transformed copy of the node + */ + map(s) { + for (var o = [], p = 0; p < this.blocks.length; p++) { + var u = this.blocks[p], f = this._ifNode(s(u.node, "blocks[" + p + "].node", this)); + o[p] = { + node: f, + visible: u.visible + }; + } + return new n(o); + } + /** + * Create a clone of this node, a shallow copy + * @return {BlockNode} + */ + clone() { + var s = this.blocks.map(function(o) { + return { + node: o.node, + visible: o.visible + }; + }); + return new n(s); + } + /** + * Get string representation + * @param {Object} options + * @return {string} str + * @override + */ + _toString(s) { + return this.blocks.map(function(o) { + return o.node.toString(s) + (o.visible ? "" : ";"); + }).join(` +`); + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: Po, + blocks: this.blocks + }; + } + /** + * Instantiate an BlockNode from its JSON representation + * @param {Object} json + * An object structured like + * `{"mathjs": "BlockNode", blocks: [{node: ..., visible: false}, ...]}`, + * where mathjs is optional + * @returns {BlockNode} + */ + static fromJSON(s) { + return new n(s.blocks); + } + /** + * Get HTML representation + * @param {Object} options + * @return {string} str + * @override + */ + _toHTML(s) { + return this.blocks.map(function(o) { + return o.node.toHTML(s) + (o.visible ? "" : ';'); + }).join('
'); + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} str + */ + _toTex(s) { + return this.blocks.map(function(o) { + return o.node.toTex(s) + (o.visible ? "" : ";"); + }).join(`\\;\\; +`); + } + } + return xr(n, "name", Po), n; +}, { + isClass: !0, + isNode: !0 +}), ko = "ConditionalNode", fq = ["Node"], tf = /* @__PURE__ */ j(ko, fq, (t) => { + var { + Node: e + } = t; + function r(a) { + if (typeof a == "number" || typeof a == "boolean" || typeof a == "string") + return !!a; + if (a) { + if (ct(a)) + return !a.isZero(); + if (Mn(a)) + return !!(a.re || a.im); + if (Xr(a)) + return !!a.value; + } + if (a == null) + return !1; + throw new TypeError('Unsupported type of condition "' + Vt(a) + '"'); + } + class n extends e { + /** + * A lazy evaluating conditional operator: 'condition ? trueExpr : falseExpr' + * + * @param {Node} condition Condition, must result in a boolean + * @param {Node} trueExpr Expression evaluated when condition is true + * @param {Node} falseExpr Expression evaluated when condition is true + * + * @constructor ConditionalNode + * @extends {Node} + */ + constructor(s, o, p) { + if (super(), !Ut(s)) + throw new TypeError("Parameter condition must be a Node"); + if (!Ut(o)) + throw new TypeError("Parameter trueExpr must be a Node"); + if (!Ut(p)) + throw new TypeError("Parameter falseExpr must be a Node"); + this.condition = s, this.trueExpr = o, this.falseExpr = p; + } + get type() { + return ko; + } + get isConditionalNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(s, o) { + var p = this.condition._compile(s, o), u = this.trueExpr._compile(s, o), f = this.falseExpr._compile(s, o); + return function(c, h, d) { + return r(p(c, h, d)) ? u(c, h, d) : f(c, h, d); + }; + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(s) { + s(this.condition, "condition", this), s(this.trueExpr, "trueExpr", this), s(this.falseExpr, "falseExpr", this); + } + /** + * Create a new ConditionalNode whose children are the results of calling + * the provided callback function for each child of the original node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {ConditionalNode} Returns a transformed copy of the node + */ + map(s) { + return new n(this._ifNode(s(this.condition, "condition", this)), this._ifNode(s(this.trueExpr, "trueExpr", this)), this._ifNode(s(this.falseExpr, "falseExpr", this))); + } + /** + * Create a clone of this node, a shallow copy + * @return {ConditionalNode} + */ + clone() { + return new n(this.condition, this.trueExpr, this.falseExpr); + } + /** + * Get string representation + * @param {Object} options + * @return {string} str + */ + _toString(s) { + var o = s && s.parenthesis ? s.parenthesis : "keep", p = Qt(this, o, s && s.implicit), u = this.condition.toString(s), f = Qt(this.condition, o, s && s.implicit); + (o === "all" || this.condition.type === "OperatorNode" || f !== null && f <= p) && (u = "(" + u + ")"); + var l = this.trueExpr.toString(s), c = Qt(this.trueExpr, o, s && s.implicit); + (o === "all" || this.trueExpr.type === "OperatorNode" || c !== null && c <= p) && (l = "(" + l + ")"); + var h = this.falseExpr.toString(s), d = Qt(this.falseExpr, o, s && s.implicit); + return (o === "all" || this.falseExpr.type === "OperatorNode" || d !== null && d <= p) && (h = "(" + h + ")"), u + " ? " + l + " : " + h; + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: ko, + condition: this.condition, + trueExpr: this.trueExpr, + falseExpr: this.falseExpr + }; + } + /** + * Instantiate an ConditionalNode from its JSON representation + * @param {Object} json + * An object structured like + * ``` + * {"mathjs": "ConditionalNode", + * "condition": ..., + * "trueExpr": ..., + * "falseExpr": ...} + * ``` + * where mathjs is optional + * @returns {ConditionalNode} + */ + static fromJSON(s) { + return new n(s.condition, s.trueExpr, s.falseExpr); + } + /** + * Get HTML representation + * @param {Object} options + * @return {string} str + */ + _toHTML(s) { + var o = s && s.parenthesis ? s.parenthesis : "keep", p = Qt(this, o, s && s.implicit), u = this.condition.toHTML(s), f = Qt(this.condition, o, s && s.implicit); + (o === "all" || this.condition.type === "OperatorNode" || f !== null && f <= p) && (u = '(' + u + ')'); + var l = this.trueExpr.toHTML(s), c = Qt(this.trueExpr, o, s && s.implicit); + (o === "all" || this.trueExpr.type === "OperatorNode" || c !== null && c <= p) && (l = '(' + l + ')'); + var h = this.falseExpr.toHTML(s), d = Qt(this.falseExpr, o, s && s.implicit); + return (o === "all" || this.falseExpr.type === "OperatorNode" || d !== null && d <= p) && (h = '(' + h + ')'), u + '?' + l + ':' + h; + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} str + */ + _toTex(s) { + return "\\begin{cases} {" + this.trueExpr.toTex(s) + "}, &\\quad{\\text{if }\\;" + this.condition.toTex(s) + "}\\\\{" + this.falseExpr.toTex(s) + "}, &\\quad{\\text{otherwise}}\\end{cases}"; + } + } + return xr(n, "name", ko), n; +}, { + isClass: !0, + isNode: !0 +}), id = Object.assign || function(t) { + for (var e = 1; e < arguments.length; e++) { + var r = arguments[e]; + for (var n in r) + Object.prototype.hasOwnProperty.call(r, n) && (t[n] = r[n]); + } + return t; +}, pq = { + "{": "\\{", + "}": "\\}", + "\\": "\\textbackslash{}", + "#": "\\#", + $: "\\$", + "%": "\\%", + "&": "\\&", + "^": "\\textasciicircum{}", + _: "\\_", + "~": "\\textasciitilde{}" +}, hq = { + "–": "\\--", + "—": "\\---", + " ": "~", + " ": "\\qquad{}", + "\r\n": "\\newline{}", + "\n": "\\newline{}" +}, mq = function(e, r) { + return id({}, e, r); +}, dq = function(t) { + for (var e = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : {}, r = e.preserveFormatting, n = r === void 0 ? !1 : r, a = e.escapeMapFn, s = a === void 0 ? mq : a, o = String(t), p = "", u = s(id({}, pq), n ? id({}, hq) : {}), f = Object.keys(u), l = function() { + var h = !1; + f.forEach(function(d, g) { + h || o.length >= d.length && o.slice(0, d.length) === d && (p += u[f[g]], o = o.slice(d.length, o.length), h = !0); + }), h || (p += o.slice(0, 1), o = o.slice(1, o.length)); + }; o; ) + l(); + return p; +}; +const vq = /* @__PURE__ */ zs(dq); +var ad = { + // GREEK LETTERS + Alpha: "A", + alpha: "\\alpha", + Beta: "B", + beta: "\\beta", + Gamma: "\\Gamma", + gamma: "\\gamma", + Delta: "\\Delta", + delta: "\\delta", + Epsilon: "E", + epsilon: "\\epsilon", + varepsilon: "\\varepsilon", + Zeta: "Z", + zeta: "\\zeta", + Eta: "H", + eta: "\\eta", + Theta: "\\Theta", + theta: "\\theta", + vartheta: "\\vartheta", + Iota: "I", + iota: "\\iota", + Kappa: "K", + kappa: "\\kappa", + varkappa: "\\varkappa", + Lambda: "\\Lambda", + lambda: "\\lambda", + Mu: "M", + mu: "\\mu", + Nu: "N", + nu: "\\nu", + Xi: "\\Xi", + xi: "\\xi", + Omicron: "O", + omicron: "o", + Pi: "\\Pi", + pi: "\\pi", + varpi: "\\varpi", + Rho: "P", + rho: "\\rho", + varrho: "\\varrho", + Sigma: "\\Sigma", + sigma: "\\sigma", + varsigma: "\\varsigma", + Tau: "T", + tau: "\\tau", + Upsilon: "\\Upsilon", + upsilon: "\\upsilon", + Phi: "\\Phi", + phi: "\\phi", + varphi: "\\varphi", + Chi: "X", + chi: "\\chi", + Psi: "\\Psi", + psi: "\\psi", + Omega: "\\Omega", + omega: "\\omega", + // logic + true: "\\mathrm{True}", + false: "\\mathrm{False}", + // other + i: "i", + // TODO use \i ?? + inf: "\\infty", + Inf: "\\infty", + infinity: "\\infty", + Infinity: "\\infty", + oo: "\\infty", + lim: "\\lim", + undefined: "\\mathbf{?}" +}, Bt = { + transpose: "^\\top", + ctranspose: "^H", + factorial: "!", + pow: "^", + dotPow: ".^\\wedge", + // TODO find ideal solution + unaryPlus: "+", + unaryMinus: "-", + bitNot: "\\~", + // TODO find ideal solution + not: "\\neg", + multiply: "\\cdot", + divide: "\\frac", + // TODO how to handle that properly? + dotMultiply: ".\\cdot", + // TODO find ideal solution + dotDivide: ".:", + // TODO find ideal solution + mod: "\\mod", + add: "+", + subtract: "-", + to: "\\rightarrow", + leftShift: "<<", + rightArithShift: ">>", + rightLogShift: ">>>", + equal: "=", + unequal: "\\neq", + smaller: "<", + larger: ">", + smallerEq: "\\leq", + largerEq: "\\geq", + bitAnd: "\\&", + bitXor: "\\underline{|}", + bitOr: "|", + and: "\\wedge", + xor: "\\veebar", + or: "\\vee" +}, eb = { + // arithmetic + abs: { + 1: "\\left|${args[0]}\\right|" + }, + add: { + 2: "\\left(${args[0]}".concat(Bt.add, "${args[1]}\\right)") + }, + cbrt: { + 1: "\\sqrt[3]{${args[0]}}" + }, + ceil: { + 1: "\\left\\lceil${args[0]}\\right\\rceil" + }, + cube: { + 1: "\\left(${args[0]}\\right)^3" + }, + divide: { + 2: "\\frac{${args[0]}}{${args[1]}}" + }, + dotDivide: { + 2: "\\left(${args[0]}".concat(Bt.dotDivide, "${args[1]}\\right)") + }, + dotMultiply: { + 2: "\\left(${args[0]}".concat(Bt.dotMultiply, "${args[1]}\\right)") + }, + dotPow: { + 2: "\\left(${args[0]}".concat(Bt.dotPow, "${args[1]}\\right)") + }, + exp: { + 1: "\\exp\\left(${args[0]}\\right)" + }, + expm1: "\\left(e".concat(Bt.pow, "{${args[0]}}-1\\right)"), + fix: { + 1: "\\mathrm{${name}}\\left(${args[0]}\\right)" + }, + floor: { + 1: "\\left\\lfloor${args[0]}\\right\\rfloor" + }, + gcd: "\\gcd\\left(${args}\\right)", + hypot: "\\hypot\\left(${args}\\right)", + log: { + 1: "\\ln\\left(${args[0]}\\right)", + 2: "\\log_{${args[1]}}\\left(${args[0]}\\right)" + }, + log10: { + 1: "\\log_{10}\\left(${args[0]}\\right)" + }, + log1p: { + 1: "\\ln\\left(${args[0]}+1\\right)", + 2: "\\log_{${args[1]}}\\left(${args[0]}+1\\right)" + }, + log2: "\\log_{2}\\left(${args[0]}\\right)", + mod: { + 2: "\\left(${args[0]}".concat(Bt.mod, "${args[1]}\\right)") + }, + multiply: { + 2: "\\left(${args[0]}".concat(Bt.multiply, "${args[1]}\\right)") + }, + norm: { + 1: "\\left\\|${args[0]}\\right\\|", + 2: void 0 + // use default template + }, + nthRoot: { + 2: "\\sqrt[${args[1]}]{${args[0]}}" + }, + nthRoots: { + 2: "\\{y : $y^{args[1]} = {${args[0]}}\\}" + }, + pow: { + 2: "\\left(${args[0]}\\right)".concat(Bt.pow, "{${args[1]}}") + }, + round: { + 1: "\\left\\lfloor${args[0]}\\right\\rceil", + 2: void 0 + // use default template + }, + sign: { + 1: "\\mathrm{${name}}\\left(${args[0]}\\right)" + }, + sqrt: { + 1: "\\sqrt{${args[0]}}" + }, + square: { + 1: "\\left(${args[0]}\\right)^2" + }, + subtract: { + 2: "\\left(${args[0]}".concat(Bt.subtract, "${args[1]}\\right)") + }, + unaryMinus: { + 1: "".concat(Bt.unaryMinus, "\\left(${args[0]}\\right)") + }, + unaryPlus: { + 1: "".concat(Bt.unaryPlus, "\\left(${args[0]}\\right)") + }, + // bitwise + bitAnd: { + 2: "\\left(${args[0]}".concat(Bt.bitAnd, "${args[1]}\\right)") + }, + bitNot: { + 1: Bt.bitNot + "\\left(${args[0]}\\right)" + }, + bitOr: { + 2: "\\left(${args[0]}".concat(Bt.bitOr, "${args[1]}\\right)") + }, + bitXor: { + 2: "\\left(${args[0]}".concat(Bt.bitXor, "${args[1]}\\right)") + }, + leftShift: { + 2: "\\left(${args[0]}".concat(Bt.leftShift, "${args[1]}\\right)") + }, + rightArithShift: { + 2: "\\left(${args[0]}".concat(Bt.rightArithShift, "${args[1]}\\right)") + }, + rightLogShift: { + 2: "\\left(${args[0]}".concat(Bt.rightLogShift, "${args[1]}\\right)") + }, + // combinatorics + bellNumbers: { + 1: "\\mathrm{B}_{${args[0]}}" + }, + catalan: { + 1: "\\mathrm{C}_{${args[0]}}" + }, + stirlingS2: { + 2: "\\mathrm{S}\\left(${args}\\right)" + }, + // complex + arg: { + 1: "\\arg\\left(${args[0]}\\right)" + }, + conj: { + 1: "\\left(${args[0]}\\right)^*" + }, + im: { + 1: "\\Im\\left\\lbrace${args[0]}\\right\\rbrace" + }, + re: { + 1: "\\Re\\left\\lbrace${args[0]}\\right\\rbrace" + }, + // logical + and: { + 2: "\\left(${args[0]}".concat(Bt.and, "${args[1]}\\right)") + }, + not: { + 1: Bt.not + "\\left(${args[0]}\\right)" + }, + or: { + 2: "\\left(${args[0]}".concat(Bt.or, "${args[1]}\\right)") + }, + xor: { + 2: "\\left(${args[0]}".concat(Bt.xor, "${args[1]}\\right)") + }, + // matrix + cross: { + 2: "\\left(${args[0]}\\right)\\times\\left(${args[1]}\\right)" + }, + ctranspose: { + 1: "\\left(${args[0]}\\right)".concat(Bt.ctranspose) + }, + det: { + 1: "\\det\\left(${args[0]}\\right)" + }, + dot: { + 2: "\\left(${args[0]}\\cdot${args[1]}\\right)" + }, + expm: { + 1: "\\exp\\left(${args[0]}\\right)" + }, + inv: { + 1: "\\left(${args[0]}\\right)^{-1}" + }, + pinv: { + 1: "\\left(${args[0]}\\right)^{+}" + }, + sqrtm: { + 1: "{${args[0]}}".concat(Bt.pow, "{\\frac{1}{2}}") + }, + trace: { + 1: "\\mathrm{tr}\\left(${args[0]}\\right)" + }, + transpose: { + 1: "\\left(${args[0]}\\right)".concat(Bt.transpose) + }, + // probability + combinations: { + 2: "\\binom{${args[0]}}{${args[1]}}" + }, + combinationsWithRep: { + 2: "\\left(\\!\\!{\\binom{${args[0]}}{${args[1]}}}\\!\\!\\right)" + }, + factorial: { + 1: "\\left(${args[0]}\\right)".concat(Bt.factorial) + }, + gamma: { + 1: "\\Gamma\\left(${args[0]}\\right)" + }, + lgamma: { + 1: "\\ln\\Gamma\\left(${args[0]}\\right)" + }, + // relational + equal: { + 2: "\\left(${args[0]}".concat(Bt.equal, "${args[1]}\\right)") + }, + larger: { + 2: "\\left(${args[0]}".concat(Bt.larger, "${args[1]}\\right)") + }, + largerEq: { + 2: "\\left(${args[0]}".concat(Bt.largerEq, "${args[1]}\\right)") + }, + smaller: { + 2: "\\left(${args[0]}".concat(Bt.smaller, "${args[1]}\\right)") + }, + smallerEq: { + 2: "\\left(${args[0]}".concat(Bt.smallerEq, "${args[1]}\\right)") + }, + unequal: { + 2: "\\left(${args[0]}".concat(Bt.unequal, "${args[1]}\\right)") + }, + // special + erf: { + 1: "erf\\left(${args[0]}\\right)" + }, + // statistics + max: "\\max\\left(${args}\\right)", + min: "\\min\\left(${args}\\right)", + variance: "\\mathrm{Var}\\left(${args}\\right)", + // trigonometry + acos: { + 1: "\\cos^{-1}\\left(${args[0]}\\right)" + }, + acosh: { + 1: "\\cosh^{-1}\\left(${args[0]}\\right)" + }, + acot: { + 1: "\\cot^{-1}\\left(${args[0]}\\right)" + }, + acoth: { + 1: "\\coth^{-1}\\left(${args[0]}\\right)" + }, + acsc: { + 1: "\\csc^{-1}\\left(${args[0]}\\right)" + }, + acsch: { + 1: "\\mathrm{csch}^{-1}\\left(${args[0]}\\right)" + }, + asec: { + 1: "\\sec^{-1}\\left(${args[0]}\\right)" + }, + asech: { + 1: "\\mathrm{sech}^{-1}\\left(${args[0]}\\right)" + }, + asin: { + 1: "\\sin^{-1}\\left(${args[0]}\\right)" + }, + asinh: { + 1: "\\sinh^{-1}\\left(${args[0]}\\right)" + }, + atan: { + 1: "\\tan^{-1}\\left(${args[0]}\\right)" + }, + atan2: { + 2: "\\mathrm{atan2}\\left(${args}\\right)" + }, + atanh: { + 1: "\\tanh^{-1}\\left(${args[0]}\\right)" + }, + cos: { + 1: "\\cos\\left(${args[0]}\\right)" + }, + cosh: { + 1: "\\cosh\\left(${args[0]}\\right)" + }, + cot: { + 1: "\\cot\\left(${args[0]}\\right)" + }, + coth: { + 1: "\\coth\\left(${args[0]}\\right)" + }, + csc: { + 1: "\\csc\\left(${args[0]}\\right)" + }, + csch: { + 1: "\\mathrm{csch}\\left(${args[0]}\\right)" + }, + sec: { + 1: "\\sec\\left(${args[0]}\\right)" + }, + sech: { + 1: "\\mathrm{sech}\\left(${args[0]}\\right)" + }, + sin: { + 1: "\\sin\\left(${args[0]}\\right)" + }, + sinh: { + 1: "\\sinh\\left(${args[0]}\\right)" + }, + tan: { + 1: "\\tan\\left(${args[0]}\\right)" + }, + tanh: { + 1: "\\tanh\\left(${args[0]}\\right)" + }, + // unit + to: { + 2: "\\left(${args[0]}".concat(Bt.to, "${args[1]}\\right)") + }, + // utils + numeric: function(e, r) { + return e.args[0].toTex(); + }, + // type + number: { + 0: "0", + 1: "\\left(${args[0]}\\right)", + 2: "\\left(\\left(${args[0]}\\right)${args[1]}\\right)" + }, + string: { + 0: '\\mathtt{""}', + 1: "\\mathrm{string}\\left(${args[0]}\\right)" + }, + bignumber: { + 0: "0", + 1: "\\left(${args[0]}\\right)" + }, + bigint: { + 0: "0", + 1: "\\left(${args[0]}\\right)" + }, + complex: { + 0: "0", + 1: "\\left(${args[0]}\\right)", + 2: "\\left(\\left(${args[0]}\\right)+".concat(ad.i, "\\cdot\\left(${args[1]}\\right)\\right)") + }, + matrix: { + 0: "\\begin{bmatrix}\\end{bmatrix}", + 1: "\\left(${args[0]}\\right)", + 2: "\\left(${args[0]}\\right)" + }, + sparse: { + 0: "\\begin{bsparse}\\end{bsparse}", + 1: "\\left(${args[0]}\\right)" + }, + unit: { + 1: "\\left(${args[0]}\\right)", + 2: "\\left(\\left(${args[0]}\\right)${args[1]}\\right)" + } +}, gq = "\\mathrm{${name}}\\left(${args}\\right)", tb = { + deg: "^\\circ" +}; +function sd(t) { + return vq(t, { + preserveFormatting: !0 + }); +} +function Zw(t, e) { + return e = typeof e > "u" ? !1 : e, e ? We(tb, t) ? tb[t] : "\\mathrm{" + sd(t) + "}" : We(ad, t) ? ad[t] : sd(t); +} +var $o = "ConstantNode", yq = ["Node"], rf = /* @__PURE__ */ j($o, yq, (t) => { + var { + Node: e + } = t; + class r extends e { + /** + * A ConstantNode holds a constant value like a number or string. + * + * Usage: + * + * new ConstantNode(2.3) + * new ConstantNode('hello') + * + * @param {*} value Value can be any type (number, BigNumber, bigint, string, ...) + * @constructor ConstantNode + * @extends {Node} + */ + constructor(a) { + super(), this.value = a; + } + get type() { + return $o; + } + get isConstantNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(a, s) { + var o = this.value; + return function() { + return o; + }; + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(a) { + } + /** + * Create a new ConstantNode with children produced by the given callback. + * Trivial because there are no children. + * @param {function(child: Node, path: string, parent: Node) : Node} callback + * @returns {ConstantNode} Returns a clone of the node + */ + map(a) { + return this.clone(); + } + /** + * Create a clone of this node, a shallow copy + * @return {ConstantNode} + */ + clone() { + return new r(this.value); + } + /** + * Get string representation + * @param {Object} options + * @return {string} str + */ + _toString(a) { + return Dt(this.value, a); + } + /** + * Get HTML representation + * @param {Object} options + * @return {string} str + */ + _toHTML(a) { + var s = this._toString(a); + switch (Vt(this.value)) { + case "number": + case "bigint": + case "BigNumber": + case "Fraction": + return '' + s + ""; + case "string": + return '' + s + ""; + case "boolean": + return '' + s + ""; + case "null": + return '' + s + ""; + case "undefined": + return '' + s + ""; + default: + return '' + s + ""; + } + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: $o, + value: this.value + }; + } + /** + * Instantiate a ConstantNode from its JSON representation + * @param {Object} json An object structured like + * `{"mathjs": "SymbolNode", value: 2.3}`, + * where mathjs is optional + * @returns {ConstantNode} + */ + static fromJSON(a) { + return new r(a.value); + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} str + */ + _toTex(a) { + var s = this._toString(a), o = Vt(this.value); + switch (o) { + case "string": + return "\\mathtt{" + sd(s) + "}"; + case "number": + case "BigNumber": { + var p = o === "BigNumber" ? this.value.isFinite() : isFinite(this.value); + if (!p) + return this.value.valueOf() < 0 ? "-\\infty" : "\\infty"; + var u = s.toLowerCase().indexOf("e"); + return u !== -1 ? s.substring(0, u) + "\\cdot10^{" + s.substring(u + 1) + "}" : s; + } + case "bigint": + return s.toString(); + case "Fraction": + return this.value.toLatex(); + default: + return s; + } + } + } + return xr(r, "name", $o), r; +}, { + isClass: !0, + isNode: !0 +}), zo = "FunctionAssignmentNode", xq = ["typed", "Node"], nf = /* @__PURE__ */ j(zo, xq, (t) => { + var { + typed: e, + Node: r + } = t; + function n(s, o, p) { + var u = Qt(s, o, p), f = Qt(s.expr, o, p); + return o === "all" || f !== null && f <= u; + } + class a extends r { + /** + * @constructor FunctionAssignmentNode + * @extends {Node} + * Function assignment + * + * @param {string} name Function name + * @param {string[] | Array.<{name: string, type: string}>} params + * Array with function parameter names, or an + * array with objects containing the name + * and type of the parameter + * @param {Node} expr The function expression + */ + constructor(o, p, u) { + if (super(), typeof o != "string") + throw new TypeError('String expected for parameter "name"'); + if (!Array.isArray(p)) + throw new TypeError('Array containing strings or objects expected for parameter "params"'); + if (!Ut(u)) + throw new TypeError('Node expected for parameter "expr"'); + if (Ww.has(o)) + throw new Error('Illegal function name, "' + o + '" is a reserved keyword'); + var f = /* @__PURE__ */ new Set(); + for (var l of p) { + var c = typeof l == "string" ? l : l.name; + if (f.has(c)) + throw new Error('Duplicate parameter name "'.concat(c, '"')); + f.add(c); + } + this.name = o, this.params = p.map(function(h) { + return h && h.name || h; + }), this.types = p.map(function(h) { + return h && h.type || "any"; + }), this.expr = u; + } + get type() { + return zo; + } + get isFunctionAssignmentNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(o, p) { + var u = Object.create(p); + Pu(this.params, function(g) { + u[g] = !0; + }); + var f = this.expr._compile(o, u), l = this.name, c = this.params, h = t1(this.types, ","), d = l + "(" + t1(this.params, ", ") + ")"; + return function(v, N, b) { + var C = {}; + C[h] = function() { + for (var E = Object.create(N), D = 0; D < c.length; D++) + E[c[D]] = arguments[D]; + return f(v, E, b); + }; + var x = e(l, C); + return x.syntax = d, v.set(l, x), x; + }; + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(o) { + o(this.expr, "expr", this); + } + /** + * Create a new FunctionAssignmentNode whose children are the results of + * calling the provided callback function for each child of the original + * node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {FunctionAssignmentNode} Returns a transformed copy of the node + */ + map(o) { + var p = this._ifNode(o(this.expr, "expr", this)); + return new a(this.name, this.params.slice(0), p); + } + /** + * Create a clone of this node, a shallow copy + * @return {FunctionAssignmentNode} + */ + clone() { + return new a(this.name, this.params.slice(0), this.expr); + } + /** + * get string representation + * @param {Object} options + * @return {string} str + */ + _toString(o) { + var p = o && o.parenthesis ? o.parenthesis : "keep", u = this.expr.toString(o); + return n(this, p, o && o.implicit) && (u = "(" + u + ")"), this.name + "(" + this.params.join(", ") + ") = " + u; + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + var o = this.types; + return { + mathjs: zo, + name: this.name, + params: this.params.map(function(p, u) { + return { + name: p, + type: o[u] + }; + }), + expr: this.expr + }; + } + /** + * Instantiate an FunctionAssignmentNode from its JSON representation + * @param {Object} json + * An object structured like + * ``` + * {"mathjs": "FunctionAssignmentNode", + * name: ..., params: ..., expr: ...} + * ``` + * where mathjs is optional + * @returns {FunctionAssignmentNode} + */ + static fromJSON(o) { + return new a(o.name, o.params, o.expr); + } + /** + * get HTML representation + * @param {Object} options + * @return {string} str + */ + _toHTML(o) { + for (var p = o && o.parenthesis ? o.parenthesis : "keep", u = [], f = 0; f < this.params.length; f++) + u.push('' + _n(this.params[f]) + ""); + var l = this.expr.toHTML(o); + return n(this, p, o && o.implicit) && (l = '(' + l + ')'), '' + _n(this.name) + '(' + u.join(',') + ')=' + l; + } + /** + * get LaTeX representation + * @param {Object} options + * @return {string} str + */ + _toTex(o) { + var p = o && o.parenthesis ? o.parenthesis : "keep", u = this.expr.toTex(o); + return n(this, p, o && o.implicit) && (u = "\\left(".concat(u, "\\right)")), "\\mathrm{" + this.name + "}\\left(" + this.params.map(Zw).join(",") + "\\right)=" + u; + } + } + return xr(a, "name", zo), a; +}, { + isClass: !0, + isNode: !0 +}), Uo = "IndexNode", bq = ["Node", "size"], af = /* @__PURE__ */ j(Uo, bq, (t) => { + var { + Node: e, + size: r + } = t; + class n extends e { + /** + * @constructor IndexNode + * @extends Node + * + * Describes a subset of a matrix or an object property. + * Cannot be used on its own, needs to be used within an AccessorNode or + * AssignmentNode. + * + * @param {Node[]} dimensions + * @param {boolean} [dotNotation=false] + * Optional property describing whether this index was written using dot + * notation like `a.b`, or using bracket notation like `a["b"]` + * (which is the default). This property is used for string conversion. + */ + constructor(s, o) { + if (super(), this.dimensions = s, this.dotNotation = o || !1, !Array.isArray(s) || !s.every(Ut)) + throw new TypeError('Array containing Nodes expected for parameter "dimensions"'); + if (this.dotNotation && !this.isObjectProperty()) + throw new Error("dotNotation only applicable for object properties"); + } + get type() { + return Uo; + } + get isIndexNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(s, o) { + var p = fi(this.dimensions, function(f, l) { + var c = f.filter((g) => g.isSymbolNode && g.name === "end").length > 0; + if (c) { + var h = Object.create(o); + h.end = !0; + var d = f._compile(s, h); + return function(v, N, b) { + if (!tt(b) && !Rt(b) && !Er(b)) + throw new TypeError('Cannot resolve "end": context must be a Matrix, Array, or string but is ' + Vt(b)); + var C = r(b).valueOf(), x = Object.create(N); + return x.end = C[l], d(v, x, b); + }; + } else + return f._compile(s, o); + }), u = Kr(s, "index"); + return function(l, c, h) { + var d = fi(p, function(g) { + return g(l, c, h); + }); + return u(...d); + }; + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(s) { + for (var o = 0; o < this.dimensions.length; o++) + s(this.dimensions[o], "dimensions[" + o + "]", this); + } + /** + * Create a new IndexNode whose children are the results of calling + * the provided callback function for each child of the original node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {IndexNode} Returns a transformed copy of the node + */ + map(s) { + for (var o = [], p = 0; p < this.dimensions.length; p++) + o[p] = this._ifNode(s(this.dimensions[p], "dimensions[" + p + "]", this)); + return new n(o, this.dotNotation); + } + /** + * Create a clone of this node, a shallow copy + * @return {IndexNode} + */ + clone() { + return new n(this.dimensions.slice(0), this.dotNotation); + } + /** + * Test whether this IndexNode contains a single property name + * @return {boolean} + */ + isObjectProperty() { + return this.dimensions.length === 1 && Ct(this.dimensions[0]) && typeof this.dimensions[0].value == "string"; + } + /** + * Returns the property name if IndexNode contains a property. + * If not, returns null. + * @return {string | null} + */ + getObjectProperty() { + return this.isObjectProperty() ? this.dimensions[0].value : null; + } + /** + * Get string representation + * @param {Object} options + * @return {string} str + */ + _toString(s) { + return this.dotNotation ? "." + this.getObjectProperty() : "[" + this.dimensions.join(", ") + "]"; + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: Uo, + dimensions: this.dimensions, + dotNotation: this.dotNotation + }; + } + /** + * Instantiate an IndexNode from its JSON representation + * @param {Object} json + * An object structured like + * `{"mathjs": "IndexNode", dimensions: [...], dotNotation: false}`, + * where mathjs is optional + * @returns {IndexNode} + */ + static fromJSON(s) { + return new n(s.dimensions, s.dotNotation); + } + /** + * Get HTML representation + * @param {Object} options + * @return {string} str + */ + _toHTML(s) { + for (var o = [], p = 0; p < this.dimensions.length; p++) + o[p] = this.dimensions[p].toHTML(); + return this.dotNotation ? '.' + _n(this.getObjectProperty()) + "" : '[' + o.join(',') + ']'; + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} str + */ + _toTex(s) { + var o = this.dimensions.map(function(p) { + return p.toTex(s); + }); + return this.dotNotation ? "." + this.getObjectProperty() : "_{" + o.join(",") + "}"; + } + } + return xr(n, "name", Uo), n; +}, { + isClass: !0, + isNode: !0 +}), Go = "ObjectNode", wq = ["Node"], sf = /* @__PURE__ */ j(Go, wq, (t) => { + var { + Node: e + } = t; + class r extends e { + /** + * @constructor ObjectNode + * @extends {Node} + * Holds an object with keys/values + * @param {Object.} [properties] object with key/value pairs + */ + constructor(a) { + if (super(), this.properties = a || {}, a && (typeof a != "object" || !Object.keys(a).every(function(s) { + return Ut(a[s]); + }))) + throw new TypeError("Object containing Nodes expected"); + } + get type() { + return Go; + } + get isObjectNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(a, s) { + var o = {}; + for (var p in this.properties) + if (We(this.properties, p)) { + var u = Fa(p), f = JSON.parse(u), l = Kr(this.properties, p); + o[f] = l._compile(a, s); + } + return function(h, d, g) { + var v = {}; + for (var N in o) + We(o, N) && (v[N] = o[N](h, d, g)); + return v; + }; + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(a) { + for (var s in this.properties) + We(this.properties, s) && a(this.properties[s], "properties[" + Fa(s) + "]", this); + } + /** + * Create a new ObjectNode whose children are the results of calling + * the provided callback function for each child of the original node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {ObjectNode} Returns a transformed copy of the node + */ + map(a) { + var s = {}; + for (var o in this.properties) + We(this.properties, o) && (s[o] = this._ifNode(a(this.properties[o], "properties[" + Fa(o) + "]", this))); + return new r(s); + } + /** + * Create a clone of this node, a shallow copy + * @return {ObjectNode} + */ + clone() { + var a = {}; + for (var s in this.properties) + We(this.properties, s) && (a[s] = this.properties[s]); + return new r(a); + } + /** + * Get string representation + * @param {Object} options + * @return {string} str + * @override + */ + _toString(a) { + var s = []; + for (var o in this.properties) + We(this.properties, o) && s.push(Fa(o) + ": " + this.properties[o].toString(a)); + return "{" + s.join(", ") + "}"; + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: Go, + properties: this.properties + }; + } + /** + * Instantiate an OperatorNode from its JSON representation + * @param {Object} json An object structured like + * `{"mathjs": "ObjectNode", "properties": {...}}`, + * where mathjs is optional + * @returns {ObjectNode} + */ + static fromJSON(a) { + return new r(a.properties); + } + /** + * Get HTML representation + * @param {Object} options + * @return {string} str + * @override + */ + _toHTML(a) { + var s = []; + for (var o in this.properties) + We(this.properties, o) && s.push('' + _n(o) + ':' + this.properties[o].toHTML(a)); + return '{' + s.join(',') + '}'; + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} str + */ + _toTex(a) { + var s = []; + for (var o in this.properties) + We(this.properties, o) && s.push("\\mathbf{" + o + ":} & " + this.properties[o].toTex(a) + "\\\\"); + var p = "\\left\\{\\begin{array}{ll}" + s.join(` +`) + "\\end{array}\\right\\}"; + return p; + } + } + return xr(r, "name", Go), r; +}, { + isClass: !0, + isNode: !0 +}); +function Ts(t, e) { + return new E2(t, new Cu(e), new Set(Object.keys(e))); +} +var Ho = "OperatorNode", Nq = ["Node"], of = /* @__PURE__ */ j(Ho, Nq, (t) => { + var { + Node: e + } = t; + function r(s, o) { + var p = s; + if (o === "auto") + for (; kn(p); ) p = p.content; + return Ct(p) ? !0 : or(p) ? r(p.args[0], o) : !1; + } + function n(s, o, p, u, f) { + var l = Qt(s, o, p), c = Ss(s, o); + if (o === "all" || u.length > 2 && s.getIdentifier() !== "OperatorNode:add" && s.getIdentifier() !== "OperatorNode:multiply") + return u.map(function(T) { + switch (T.getContent().type) { + case "ArrayNode": + case "ConstantNode": + case "SymbolNode": + case "ParenthesisNode": + return !1; + default: + return !0; + } + }); + var h; + switch (u.length) { + case 0: + h = []; + break; + case 1: + { + var d = Qt(u[0], o, p, s); + if (f && d !== null) { + var g, v; + if (o === "keep" ? (g = u[0].getIdentifier(), v = s.getIdentifier()) : (g = u[0].getContent().getIdentifier(), v = s.getContent().getIdentifier()), Rn[l][v].latexLeftParens === !1) { + h = [!1]; + break; + } + if (Rn[d][g].latexParens === !1) { + h = [!1]; + break; + } + } + if (d === null) { + h = [!1]; + break; + } + if (d <= l) { + h = [!0]; + break; + } + h = [!1]; + } + break; + case 2: + { + var N, b = Qt(u[0], o, p, s), C = Pm(s, u[0], o); + b === null ? N = !1 : b === l && c === "right" && !C || b < l ? N = !0 : N = !1; + var x, E = Qt(u[1], o, p, s), D = Pm(s, u[1], o); + if (E === null ? x = !1 : E === l && c === "left" && !D || E < l ? x = !0 : x = !1, f) { + var A, M, _; + o === "keep" ? (A = s.getIdentifier(), M = s.args[0].getIdentifier(), _ = s.args[1].getIdentifier()) : (A = s.getContent().getIdentifier(), M = s.args[0].getContent().getIdentifier(), _ = s.args[1].getContent().getIdentifier()), b !== null && (Rn[l][A].latexLeftParens === !1 && (N = !1), Rn[b][M].latexParens === !1 && (N = !1)), E !== null && (Rn[l][A].latexRightParens === !1 && (x = !1), Rn[E][_].latexParens === !1 && (x = !1)); + } + h = [N, x]; + } + break; + default: + (s.getIdentifier() === "OperatorNode:add" || s.getIdentifier() === "OperatorNode:multiply") && (h = u.map(function(T) { + var I = Qt(T, o, p, s), q = Pm(s, T, o), $ = Ss(T, o); + return I === null ? !1 : l === I && c === $ && !q ? !0 : I < l; + })); + break; + } + if (u.length >= 2 && s.getIdentifier() === "OperatorNode:multiply" && s.implicit && o !== "all" && p === "hide") + for (var O = 1; O < h.length; ++O) + r(u[O], o) && !h[O - 1] && (o !== "keep" || !kn(u[O - 1])) && (h[O] = !0); + return h; + } + class a extends e { + /** + * @constructor OperatorNode + * @extends {Node} + * An operator with two arguments, like 2+3 + * + * @param {string} op Operator name, for example '+' + * @param {string} fn Function name, for example 'add' + * @param {Node[]} args Operator arguments + * @param {boolean} [implicit] Is this an implicit multiplication? + * @param {boolean} [isPercentage] Is this an percentage Operation? + */ + constructor(o, p, u, f, l) { + if (super(), typeof o != "string") + throw new TypeError('string expected for parameter "op"'); + if (typeof p != "string") + throw new TypeError('string expected for parameter "fn"'); + if (!Array.isArray(u) || !u.every(Ut)) + throw new TypeError('Array containing Nodes expected for parameter "args"'); + this.implicit = f === !0, this.isPercentage = l === !0, this.op = o, this.fn = p, this.args = u || []; + } + get type() { + return Ho; + } + get isOperatorNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(o, p) { + if (typeof this.fn != "string" || !Nd(o, this.fn)) + throw o[this.fn] ? new Error('No access to function "' + this.fn + '"') : new Error("Function " + this.fn + ' missing in provided namespace "math"'); + var u = Kr(o, this.fn), f = fi(this.args, function(g) { + return g._compile(o, p); + }); + if (typeof u == "function" && u.rawArgs === !0) { + var l = this.args; + return function(v, N, b) { + return u(l, o, Ts(v, N)); + }; + } else if (f.length === 1) { + var c = f[0]; + return function(v, N, b) { + return u(c(v, N, b)); + }; + } else if (f.length === 2) { + var h = f[0], d = f[1]; + return function(v, N, b) { + return u(h(v, N, b), d(v, N, b)); + }; + } else + return function(v, N, b) { + return u.apply(null, fi(f, function(C) { + return C(v, N, b); + })); + }; + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(o) { + for (var p = 0; p < this.args.length; p++) + o(this.args[p], "args[" + p + "]", this); + } + /** + * Create a new OperatorNode whose children are the results of calling + * the provided callback function for each child of the original node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {OperatorNode} Returns a transformed copy of the node + */ + map(o) { + for (var p = [], u = 0; u < this.args.length; u++) + p[u] = this._ifNode(o(this.args[u], "args[" + u + "]", this)); + return new a(this.op, this.fn, p, this.implicit, this.isPercentage); + } + /** + * Create a clone of this node, a shallow copy + * @return {OperatorNode} + */ + clone() { + return new a(this.op, this.fn, this.args.slice(0), this.implicit, this.isPercentage); + } + /** + * Check whether this is an unary OperatorNode: + * has exactly one argument, like `-a`. + * @return {boolean} + * Returns true when an unary operator node, false otherwise. + */ + isUnary() { + return this.args.length === 1; + } + /** + * Check whether this is a binary OperatorNode: + * has exactly two arguments, like `a + b`. + * @return {boolean} + * Returns true when a binary operator node, false otherwise. + */ + isBinary() { + return this.args.length === 2; + } + /** + * Get string representation. + * @param {Object} options + * @return {string} str + */ + _toString(o) { + var p = o && o.parenthesis ? o.parenthesis : "keep", u = o && o.implicit ? o.implicit : "hide", f = this.args, l = n(this, p, u, f, !1); + if (f.length === 1) { + var c = Ss(this, p), h = f[0].toString(o); + l[0] && (h = "(" + h + ")"); + var d = /[a-zA-Z]+/.test(this.op); + return c === "right" ? this.op + (d ? " " : "") + h : c === "left" ? h + (d ? " " : "") + this.op : h + this.op; + } else if (f.length === 2) { + var g = f[0].toString(o), v = f[1].toString(o); + return l[0] && (g = "(" + g + ")"), l[1] && (v = "(" + v + ")"), this.implicit && this.getIdentifier() === "OperatorNode:multiply" && u === "hide" ? g + " " + v : g + " " + this.op + " " + v; + } else if (f.length > 2 && (this.getIdentifier() === "OperatorNode:add" || this.getIdentifier() === "OperatorNode:multiply")) { + var N = f.map(function(b, C) { + return b = b.toString(o), l[C] && (b = "(" + b + ")"), b; + }); + return this.implicit && this.getIdentifier() === "OperatorNode:multiply" && u === "hide" ? N.join(" ") : N.join(" " + this.op + " "); + } else + return this.fn + "(" + this.args.join(", ") + ")"; + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: Ho, + op: this.op, + fn: this.fn, + args: this.args, + implicit: this.implicit, + isPercentage: this.isPercentage + }; + } + /** + * Instantiate an OperatorNode from its JSON representation + * @param {Object} json + * An object structured like + * ``` + * {"mathjs": "OperatorNode", + * "op": "+", "fn": "add", "args": [...], + * "implicit": false, + * "isPercentage":false} + * ``` + * where mathjs is optional + * @returns {OperatorNode} + */ + static fromJSON(o) { + return new a(o.op, o.fn, o.args, o.implicit, o.isPercentage); + } + /** + * Get HTML representation. + * @param {Object} options + * @return {string} str + */ + _toHTML(o) { + var p = o && o.parenthesis ? o.parenthesis : "keep", u = o && o.implicit ? o.implicit : "hide", f = this.args, l = n(this, p, u, f, !1); + if (f.length === 1) { + var c = Ss(this, p), h = f[0].toHTML(o); + return l[0] && (h = '(' + h + ')'), c === "right" ? '' + _n(this.op) + "" + h : h + '' + _n(this.op) + ""; + } else if (f.length === 2) { + var d = f[0].toHTML(o), g = f[1].toHTML(o); + return l[0] && (d = '(' + d + ')'), l[1] && (g = '(' + g + ')'), this.implicit && this.getIdentifier() === "OperatorNode:multiply" && u === "hide" ? d + '' + g : d + '' + _n(this.op) + "" + g; + } else { + var v = f.map(function(N, b) { + return N = N.toHTML(o), l[b] && (N = '(' + N + ')'), N; + }); + return f.length > 2 && (this.getIdentifier() === "OperatorNode:add" || this.getIdentifier() === "OperatorNode:multiply") ? this.implicit && this.getIdentifier() === "OperatorNode:multiply" && u === "hide" ? v.join('') : v.join('' + _n(this.op) + "") : '' + _n(this.fn) + '(' + v.join(',') + ')'; + } + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} str + */ + _toTex(o) { + var p = o && o.parenthesis ? o.parenthesis : "keep", u = o && o.implicit ? o.implicit : "hide", f = this.args, l = n(this, p, u, f, !0), c = Bt[this.fn]; + if (c = typeof c > "u" ? this.op : c, f.length === 1) { + var h = Ss(this, p), d = f[0].toTex(o); + return l[0] && (d = "\\left(".concat(d, "\\right)")), h === "right" ? c + d : d + c; + } else if (f.length === 2) { + var g = f[0], v = g.toTex(o); + l[0] && (v = "\\left(".concat(v, "\\right)")); + var N = f[1], b = N.toTex(o); + l[1] && (b = "\\left(".concat(b, "\\right)")); + var C; + switch (p === "keep" ? C = g.getIdentifier() : C = g.getContent().getIdentifier(), this.getIdentifier()) { + case "OperatorNode:divide": + return c + "{" + v + "}{" + b + "}"; + case "OperatorNode:pow": + switch (v = "{" + v + "}", b = "{" + b + "}", C) { + case "ConditionalNode": + case "OperatorNode:divide": + v = "\\left(".concat(v, "\\right)"); + } + break; + case "OperatorNode:multiply": + if (this.implicit && u === "hide") + return v + "~" + b; + } + return v + c + b; + } else if (f.length > 2 && (this.getIdentifier() === "OperatorNode:add" || this.getIdentifier() === "OperatorNode:multiply")) { + var x = f.map(function(E, D) { + return E = E.toTex(o), l[D] && (E = "\\left(".concat(E, "\\right)")), E; + }); + return this.getIdentifier() === "OperatorNode:multiply" && this.implicit && u === "hide" ? x.join("~") : x.join(c); + } else + return "\\mathrm{" + this.fn + "}\\left(" + f.map(function(E) { + return E.toTex(o); + }).join(",") + "\\right)"; + } + /** + * Get identifier. + * @return {string} + */ + getIdentifier() { + return this.type + ":" + this.fn; + } + } + return xr(a, "name", Ho), a; +}, { + isClass: !0, + isNode: !0 +}), Qo = "ParenthesisNode", Dq = ["Node"], uf = /* @__PURE__ */ j(Qo, Dq, (t) => { + var { + Node: e + } = t; + class r extends e { + /** + * @constructor ParenthesisNode + * @extends {Node} + * A parenthesis node describes manual parenthesis from the user input + * @param {Node} content + * @extends {Node} + */ + constructor(a) { + if (super(), !Ut(a)) + throw new TypeError('Node expected for parameter "content"'); + this.content = a; + } + get type() { + return Qo; + } + get isParenthesisNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(a, s) { + return this.content._compile(a, s); + } + /** + * Get the content of the current Node. + * @return {Node} content + * @override + **/ + getContent() { + return this.content.getContent(); + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(a) { + a(this.content, "content", this); + } + /** + * Create a new ParenthesisNode whose child is the result of calling + * the provided callback function on the child of this node. + * @param {function(child: Node, path: string, parent: Node) : Node} callback + * @returns {ParenthesisNode} Returns a clone of the node + */ + map(a) { + var s = a(this.content, "content", this); + return new r(s); + } + /** + * Create a clone of this node, a shallow copy + * @return {ParenthesisNode} + */ + clone() { + return new r(this.content); + } + /** + * Get string representation + * @param {Object} options + * @return {string} str + * @override + */ + _toString(a) { + return !a || a && !a.parenthesis || a && a.parenthesis === "keep" ? "(" + this.content.toString(a) + ")" : this.content.toString(a); + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: Qo, + content: this.content + }; + } + /** + * Instantiate an ParenthesisNode from its JSON representation + * @param {Object} json An object structured like + * `{"mathjs": "ParenthesisNode", "content": ...}`, + * where mathjs is optional + * @returns {ParenthesisNode} + */ + static fromJSON(a) { + return new r(a.content); + } + /** + * Get HTML representation + * @param {Object} options + * @return {string} str + * @override + */ + _toHTML(a) { + return !a || a && !a.parenthesis || a && a.parenthesis === "keep" ? '(' + this.content.toHTML(a) + ')' : this.content.toHTML(a); + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} str + * @override + */ + _toTex(a) { + return !a || a && !a.parenthesis || a && a.parenthesis === "keep" ? "\\left(".concat(this.content.toTex(a), "\\right)") : this.content.toTex(a); + } + } + return xr(r, "name", Qo), r; +}, { + isClass: !0, + isNode: !0 +}), Vo = "RangeNode", Aq = ["Node"], lf = /* @__PURE__ */ j(Vo, Aq, (t) => { + var { + Node: e + } = t; + function r(a, s, o) { + var p = Qt(a, s, o), u = {}, f = Qt(a.start, s, o); + if (u.start = f !== null && f <= p || s === "all", a.step) { + var l = Qt(a.step, s, o); + u.step = l !== null && l <= p || s === "all"; + } + var c = Qt(a.end, s, o); + return u.end = c !== null && c <= p || s === "all", u; + } + class n extends e { + /** + * @constructor RangeNode + * @extends {Node} + * create a range + * @param {Node} start included lower-bound + * @param {Node} end included upper-bound + * @param {Node} [step] optional step + */ + constructor(s, o, p) { + if (super(), !Ut(s)) throw new TypeError("Node expected"); + if (!Ut(o)) throw new TypeError("Node expected"); + if (p && !Ut(p)) throw new TypeError("Node expected"); + if (arguments.length > 3) throw new Error("Too many arguments"); + this.start = s, this.end = o, this.step = p || null; + } + get type() { + return Vo; + } + get isRangeNode() { + return !0; + } + /** + * Check whether the RangeNode needs the `end` symbol to be defined. + * This end is the size of the Matrix in current dimension. + * @return {boolean} + */ + needsEnd() { + var s = this.filter(function(o) { + return mr(o) && o.name === "end"; + }); + return s.length > 0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(s, o) { + var p = s.range, u = this.start._compile(s, o), f = this.end._compile(s, o); + if (this.step) { + var l = this.step._compile(s, o); + return function(h, d, g) { + return p(u(h, d, g), f(h, d, g), l(h, d, g)); + }; + } else + return function(h, d, g) { + return p(u(h, d, g), f(h, d, g)); + }; + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(s) { + s(this.start, "start", this), s(this.end, "end", this), this.step && s(this.step, "step", this); + } + /** + * Create a new RangeNode whose children are the results of calling + * the provided callback function for each child of the original node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {RangeNode} Returns a transformed copy of the node + */ + map(s) { + return new n(this._ifNode(s(this.start, "start", this)), this._ifNode(s(this.end, "end", this)), this.step && this._ifNode(s(this.step, "step", this))); + } + /** + * Create a clone of this node, a shallow copy + * @return {RangeNode} + */ + clone() { + return new n(this.start, this.end, this.step && this.step); + } + /** + * Get string representation + * @param {Object} options + * @return {string} str + */ + _toString(s) { + var o = s && s.parenthesis ? s.parenthesis : "keep", p = r(this, o, s && s.implicit), u, f = this.start.toString(s); + if (p.start && (f = "(" + f + ")"), u = f, this.step) { + var l = this.step.toString(s); + p.step && (l = "(" + l + ")"), u += ":" + l; + } + var c = this.end.toString(s); + return p.end && (c = "(" + c + ")"), u += ":" + c, u; + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: Vo, + start: this.start, + end: this.end, + step: this.step + }; + } + /** + * Instantiate an RangeNode from its JSON representation + * @param {Object} json + * An object structured like + * `{"mathjs": "RangeNode", "start": ..., "end": ..., "step": ...}`, + * where mathjs is optional + * @returns {RangeNode} + */ + static fromJSON(s) { + return new n(s.start, s.end, s.step); + } + /** + * Get HTML representation + * @param {Object} options + * @return {string} str + */ + _toHTML(s) { + var o = s && s.parenthesis ? s.parenthesis : "keep", p = r(this, o, s && s.implicit), u, f = this.start.toHTML(s); + if (p.start && (f = '(' + f + ')'), u = f, this.step) { + var l = this.step.toHTML(s); + p.step && (l = '(' + l + ')'), u += ':' + l; + } + var c = this.end.toHTML(s); + return p.end && (c = '(' + c + ')'), u += ':' + c, u; + } + /** + * Get LaTeX representation + * @params {Object} options + * @return {string} str + */ + _toTex(s) { + var o = s && s.parenthesis ? s.parenthesis : "keep", p = r(this, o, s && s.implicit), u = this.start.toTex(s); + if (p.start && (u = "\\left(".concat(u, "\\right)")), this.step) { + var f = this.step.toTex(s); + p.step && (f = "\\left(".concat(f, "\\right)")), u += ":" + f; + } + var l = this.end.toTex(s); + return p.end && (l = "\\left(".concat(l, "\\right)")), u += ":" + l, u; + } + } + return xr(n, "name", Vo), n; +}, { + isClass: !0, + isNode: !0 +}), Wo = "RelationalNode", Eq = ["Node"], cf = /* @__PURE__ */ j(Wo, Eq, (t) => { + var { + Node: e + } = t, r = { + equal: "==", + unequal: "!=", + smaller: "<", + larger: ">", + smallerEq: "<=", + largerEq: ">=" + }; + class n extends e { + /** + * A node representing a chained conditional expression, such as 'x > y > z' + * + * @param {String[]} conditionals + * An array of conditional operators used to compare the parameters + * @param {Node[]} params + * The parameters that will be compared + * + * @constructor RelationalNode + * @extends {Node} + */ + constructor(s, o) { + if (super(), !Array.isArray(s)) + throw new TypeError("Parameter conditionals must be an array"); + if (!Array.isArray(o)) + throw new TypeError("Parameter params must be an array"); + if (s.length !== o.length - 1) + throw new TypeError("Parameter params must contain exactly one more element than parameter conditionals"); + this.conditionals = s, this.params = o; + } + get type() { + return Wo; + } + get isRelationalNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(s, o) { + var p = this, u = this.params.map((f) => f._compile(s, o)); + return function(l, c, h) { + for (var d, g = u[0](l, c, h), v = 0; v < p.conditionals.length; v++) { + d = g, g = u[v + 1](l, c, h); + var N = Kr(s, p.conditionals[v]); + if (!N(d, g)) + return !1; + } + return !0; + }; + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(s) { + this.params.forEach((o, p) => s(o, "params[" + p + "]", this), this); + } + /** + * Create a new RelationalNode whose children are the results of calling + * the provided callback function for each child of the original node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {RelationalNode} Returns a transformed copy of the node + */ + map(s) { + return new n(this.conditionals.slice(), this.params.map((o, p) => this._ifNode(s(o, "params[" + p + "]", this)), this)); + } + /** + * Create a clone of this node, a shallow copy + * @return {RelationalNode} + */ + clone() { + return new n(this.conditionals, this.params); + } + /** + * Get string representation. + * @param {Object} options + * @return {string} str + */ + _toString(s) { + for (var o = s && s.parenthesis ? s.parenthesis : "keep", p = Qt(this, o, s && s.implicit), u = this.params.map(function(c, h) { + var d = Qt(c, o, s && s.implicit); + return o === "all" || d !== null && d <= p ? "(" + c.toString(s) + ")" : c.toString(s); + }), f = u[0], l = 0; l < this.conditionals.length; l++) + f += " " + r[this.conditionals[l]], f += " " + u[l + 1]; + return f; + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: Wo, + conditionals: this.conditionals, + params: this.params + }; + } + /** + * Instantiate a RelationalNode from its JSON representation + * @param {Object} json + * An object structured like + * `{"mathjs": "RelationalNode", "conditionals": ..., "params": ...}`, + * where mathjs is optional + * @returns {RelationalNode} + */ + static fromJSON(s) { + return new n(s.conditionals, s.params); + } + /** + * Get HTML representation + * @param {Object} options + * @return {string} str + */ + _toHTML(s) { + for (var o = s && s.parenthesis ? s.parenthesis : "keep", p = Qt(this, o, s && s.implicit), u = this.params.map(function(c, h) { + var d = Qt(c, o, s && s.implicit); + return o === "all" || d !== null && d <= p ? '(' + c.toHTML(s) + ')' : c.toHTML(s); + }), f = u[0], l = 0; l < this.conditionals.length; l++) + f += '' + _n(r[this.conditionals[l]]) + "" + u[l + 1]; + return f; + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} str + */ + _toTex(s) { + for (var o = s && s.parenthesis ? s.parenthesis : "keep", p = Qt(this, o, s && s.implicit), u = this.params.map(function(c, h) { + var d = Qt(c, o, s && s.implicit); + return o === "all" || d !== null && d <= p ? "\\left(" + c.toTex(s) + "\right)" : c.toTex(s); + }), f = u[0], l = 0; l < this.conditionals.length; l++) + f += Bt[this.conditionals[l]] + u[l + 1]; + return f; + } + } + return xr(n, "name", Wo), n; +}, { + isClass: !0, + isNode: !0 +}), Sq = "SymbolNode", Cq = ["math", "?Unit", "Node"], ff = /* @__PURE__ */ j(Sq, Cq, (t) => { + var { + math: e, + Unit: r, + Node: n + } = t; + function a(o) { + return r ? r.isValuelessUnit(o) : !1; + } + class s extends n { + /** + * @constructor SymbolNode + * @extends {Node} + * A symbol node can hold and resolve a symbol + * @param {string} name + * @extends {Node} + */ + constructor(p) { + if (super(), typeof p != "string") + throw new TypeError('String expected for parameter "name"'); + this.name = p; + } + get type() { + return "SymbolNode"; + } + get isSymbolNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(p, u) { + var f = this.name; + if (u[f] === !0) + return function(c, h, d) { + return Kr(h, f); + }; + if (f in p) + return function(c, h, d) { + return c.has(f) ? c.get(f) : Kr(p, f); + }; + var l = a(f); + return function(c, h, d) { + return c.has(f) ? c.get(f) : l ? new r(null, f) : s.onUndefinedSymbol(f); + }; + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(p) { + } + /** + * Create a new SymbolNode with children produced by the given callback. + * Trivial since a SymbolNode has no children + * @param {function(child: Node, path: string, parent: Node) : Node} callback + * @returns {SymbolNode} Returns a clone of the node + */ + map(p) { + return this.clone(); + } + /** + * Throws an error 'Undefined symbol {name}' + * @param {string} name + */ + static onUndefinedSymbol(p) { + throw new Error("Undefined symbol " + p); + } + /** + * Create a clone of this node, a shallow copy + * @return {SymbolNode} + */ + clone() { + return new s(this.name); + } + /** + * Get string representation + * @param {Object} options + * @return {string} str + * @override + */ + _toString(p) { + return this.name; + } + /** + * Get HTML representation + * @param {Object} options + * @return {string} str + * @override + */ + _toHTML(p) { + var u = _n(this.name); + return u === "true" || u === "false" ? '' + u + "" : u === "i" ? '' + u + "" : u === "Infinity" ? '' + u + "" : u === "NaN" ? '' + u + "" : u === "null" ? '' + u + "" : u === "undefined" ? '' + u + "" : '' + u + ""; + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: "SymbolNode", + name: this.name + }; + } + /** + * Instantiate a SymbolNode from its JSON representation + * @param {Object} json An object structured like + * `{"mathjs": "SymbolNode", name: "x"}`, + * where mathjs is optional + * @returns {SymbolNode} + */ + static fromJSON(p) { + return new s(p.name); + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} str + * @override + */ + _toTex(p) { + var u = !1; + typeof e[this.name] > "u" && a(this.name) && (u = !0); + var f = Zw(this.name, u); + return f[0] === "\\" ? f : " " + f; + } + } + return s; +}, { + isClass: !0, + isNode: !0 +}), jo = "FunctionNode", Tq = ["math", "Node", "SymbolNode"], pf = /* @__PURE__ */ j(jo, Tq, (t) => { + var e, { + math: r, + Node: n, + SymbolNode: a + } = t, s = (u) => Dt(u, { + truncate: 78 + }); + function o(u, f, l) { + for (var c = "", h = /\$(?:\{([a-z_][a-z_0-9]*)(?:\[([0-9]+)\])?\}|\$)/gi, d = 0, g; (g = h.exec(u)) !== null; ) + if (c += u.substring(d, g.index), d = g.index, g[0] === "$$") + c += "$", d++; + else { + d += g[0].length; + var v = f[g[1]]; + if (!v) + throw new ReferenceError("Template: Property " + g[1] + " does not exist."); + if (g[2] === void 0) + switch (typeof v) { + case "string": + c += v; + break; + case "object": + if (Ut(v)) + c += v.toTex(l); + else if (Array.isArray(v)) + c += v.map(function(N, b) { + if (Ut(N)) + return N.toTex(l); + throw new TypeError("Template: " + g[1] + "[" + b + "] is not a Node."); + }).join(","); + else + throw new TypeError("Template: " + g[1] + " has to be a Node, String or array of Nodes"); + break; + default: + throw new TypeError("Template: " + g[1] + " has to be a Node, String or array of Nodes"); + } + else if (Ut(v[g[2]] && v[g[2]])) + c += v[g[2]].toTex(l); + else + throw new TypeError("Template: " + g[1] + "[" + g[2] + "] is not a Node."); + } + return c += u.slice(d), c; + } + class p extends n { + /** + * @constructor FunctionNode + * @extends {./Node} + * invoke a list with arguments on a node + * @param {./Node | string} fn + * Item resolving to a function on which to invoke + * the arguments, typically a SymboNode or AccessorNode + * @param {./Node[]} args + */ + constructor(f, l) { + if (super(), typeof f == "string" && (f = new a(f)), !Ut(f)) throw new TypeError('Node expected as parameter "fn"'); + if (!Array.isArray(l) || !l.every(Ut)) + throw new TypeError('Array containing Nodes expected for parameter "args"'); + this.fn = f, this.args = l || []; + } + // readonly property name + get name() { + return this.fn.name || ""; + } + get type() { + return jo; + } + get isFunctionNode() { + return !0; + } + /** + * Compile a node into a JavaScript function. + * This basically pre-calculates as much as possible and only leaves open + * calculations which depend on a dynamic scope with variables. + * @param {Object} math Math.js namespace with functions and constants. + * @param {Object} argNames An object with argument names as key and `true` + * as value. Used in the SymbolNode to optimize + * for arguments from user assigned functions + * (see FunctionAssignmentNode) or special symbols + * like `end` (see IndexNode). + * @return {function} Returns a function which can be called like: + * evalNode(scope: Object, args: Object, context: *) + */ + _compile(f, l) { + var c = this.args.map((_) => _._compile(f, l)); + if (mr(this.fn)) { + var h = this.fn.name; + if (l[h]) { + var b = this.args; + return function(O, T, I) { + var q = Kr(T, h); + if (typeof q != "function") + throw new TypeError("Argument '".concat(h, "' was not a function; received: ").concat(s(q))); + if (q.rawArgs) + return q(b, f, Ts(O, T)); + var $ = c.map((U) => U(O, T, I)); + return q.apply(q, $); + }; + } else { + var d = h in f ? Kr(f, h) : void 0, g = typeof d == "function" && d.rawArgs === !0, v = (_) => { + var O; + if (_.has(h)) + O = _.get(h); + else if (h in f) + O = Kr(f, h); + else + return p.onUndefinedFunction(h); + if (typeof O == "function") + return O; + throw new TypeError("'".concat(h, `' is not a function; its value is: + `).concat(s(O))); + }; + if (g) { + var N = this.args; + return function(O, T, I) { + var q = v(O); + return q(N, f, Ts(O, T)); + }; + } else + switch (c.length) { + case 0: + return function(O, T, I) { + var q = v(O); + return q(); + }; + case 1: + return function(O, T, I) { + var q = v(O), $ = c[0]; + return q($(O, T, I)); + }; + case 2: + return function(O, T, I) { + var q = v(O), $ = c[0], U = c[1]; + return q($(O, T, I), U(O, T, I)); + }; + default: + return function(O, T, I) { + var q = v(O), $ = c.map((U) => U(O, T, I)); + return q(...$); + }; + } + } + } else if (pi(this.fn) && qi(this.fn.index) && this.fn.index.isObjectProperty()) { + var C = this.fn.object._compile(f, l), x = this.fn.index.getObjectProperty(), E = this.args; + return function(O, T, I) { + var q = C(O, T, I), $ = fC(q, x); + if ($ != null && $.rawArgs) + return $(E, f, Ts(O, T)); + var U = c.map((k) => k(O, T, I)); + return $.apply(q, U); + }; + } else { + var D = this.fn.toString(), A = this.fn._compile(f, l), M = this.args; + return function(O, T, I) { + var q = A(O, T, I); + if (typeof q != "function") + throw new TypeError("Expression '".concat(D, "' did not evaluate to a function; value is:") + ` + `.concat(s(q))); + if (q.rawArgs) + return q(M, f, Ts(O, T)); + var $ = c.map((U) => U(O, T, I)); + return q.apply(q, $); + }; + } + } + /** + * Execute a callback for each of the child nodes of this node + * @param {function(child: Node, path: string, parent: Node)} callback + */ + forEach(f) { + f(this.fn, "fn", this); + for (var l = 0; l < this.args.length; l++) + f(this.args[l], "args[" + l + "]", this); + } + /** + * Create a new FunctionNode whose children are the results of calling + * the provided callback function for each child of the original node. + * @param {function(child: Node, path: string, parent: Node): Node} callback + * @returns {FunctionNode} Returns a transformed copy of the node + */ + map(f) { + for (var l = this._ifNode(f(this.fn, "fn", this)), c = [], h = 0; h < this.args.length; h++) + c[h] = this._ifNode(f(this.args[h], "args[" + h + "]", this)); + return new p(l, c); + } + /** + * Create a clone of this node, a shallow copy + * @return {FunctionNode} + */ + clone() { + return new p(this.fn, this.args.slice(0)); + } + /** + * Throws an error 'Undefined function {name}' + * @param {string} name + */ + /** + * Get string representation. (wrapper function) + * This overrides parts of Node's toString function. + * If callback is an object containing callbacks, it + * calls the correct callback for the current node, + * otherwise it falls back to calling Node's toString + * function. + * + * @param {Object} options + * @return {string} str + * @override + */ + toString(f) { + var l, c = this.fn.toString(f); + return f && typeof f.handler == "object" && We(f.handler, c) && (l = f.handler[c](this, f)), typeof l < "u" ? l : super.toString(f); + } + /** + * Get string representation + * @param {Object} options + * @return {string} str + */ + _toString(f) { + var l = this.args.map(function(h) { + return h.toString(f); + }), c = oa(this.fn) ? "(" + this.fn.toString(f) + ")" : this.fn.toString(f); + return c + "(" + l.join(", ") + ")"; + } + /** + * Get a JSON representation of the node + * @returns {Object} + */ + toJSON() { + return { + mathjs: jo, + fn: this.fn, + args: this.args + }; + } + /** + * Instantiate an AssignmentNode from its JSON representation + * @param {Object} json An object structured like + * `{"mathjs": "FunctionNode", fn: ..., args: ...}`, + * where mathjs is optional + * @returns {FunctionNode} + */ + /** + * Get HTML representation + * @param {Object} options + * @return {string} str + */ + _toHTML(f) { + var l = this.args.map(function(c) { + return c.toHTML(f); + }); + return '' + _n(this.fn) + '(' + l.join(',') + ')'; + } + /** + * Get LaTeX representation. (wrapper function) + * This overrides parts of Node's toTex function. + * If callback is an object containing callbacks, it + * calls the correct callback for the current node, + * otherwise it falls back to calling Node's toTex + * function. + * + * @param {Object} options + * @return {string} + */ + toTex(f) { + var l; + return f && typeof f.handler == "object" && We(f.handler, this.name) && (l = f.handler[this.name](this, f)), typeof l < "u" ? l : super.toTex(f); + } + /** + * Get LaTeX representation + * @param {Object} options + * @return {string} str + */ + _toTex(f) { + var l = this.args.map(function(d) { + return d.toTex(f); + }), c; + eb[this.name] && (c = eb[this.name]), r[this.name] && (typeof r[this.name].toTex == "function" || typeof r[this.name].toTex == "object" || typeof r[this.name].toTex == "string") && (c = r[this.name].toTex); + var h; + switch (typeof c) { + case "function": + h = c(this, f); + break; + case "string": + h = o(c, this, f); + break; + case "object": + switch (typeof c[l.length]) { + case "function": + h = c[l.length](this, f); + break; + case "string": + h = o(c[l.length], this, f); + break; + } + } + return typeof h < "u" ? h : o(gq, this, f); + } + /** + * Get identifier. + * @return {string} + */ + getIdentifier() { + return this.type + ":" + this.name; + } + } + return e = p, xr(p, "name", jo), xr(p, "onUndefinedFunction", function(u) { + throw new Error("Undefined function " + u); + }), xr(p, "fromJSON", function(u) { + return new e(u.fn, u.args); + }), p; +}, { + isClass: !0, + isNode: !0 +}), rb = "parse", _q = ["typed", "numeric", "config", "AccessorNode", "ArrayNode", "AssignmentNode", "BlockNode", "ConditionalNode", "ConstantNode", "FunctionAssignmentNode", "FunctionNode", "IndexNode", "ObjectNode", "OperatorNode", "ParenthesisNode", "RangeNode", "RelationalNode", "SymbolNode"], hf = /* @__PURE__ */ j(rb, _q, (t) => { + var { + typed: e, + numeric: r, + config: n, + AccessorNode: a, + ArrayNode: s, + AssignmentNode: o, + BlockNode: p, + ConditionalNode: u, + ConstantNode: f, + FunctionAssignmentNode: l, + FunctionNode: c, + IndexNode: h, + ObjectNode: d, + OperatorNode: g, + ParenthesisNode: v, + RangeNode: N, + RelationalNode: b, + SymbolNode: C + } = t, x = e(rb, { + string: function(ne) { + return le(ne, {}); + }, + "Array | Matrix": function(ne) { + return E(ne, {}); + }, + "string, Object": function(ne, xe) { + var Te = xe.nodes !== void 0 ? xe.nodes : {}; + return le(ne, Te); + }, + "Array | Matrix, Object": E + }); + function E(B) { + var ne = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : {}, xe = ne.nodes !== void 0 ? ne.nodes : {}; + return Nt(B, function(Te) { + if (typeof Te != "string") throw new TypeError("String expected"); + return le(Te, xe); + }); + } + var D = { + NULL: 0, + DELIMITER: 1, + NUMBER: 2, + SYMBOL: 3, + UNKNOWN: 4 + }, A = { + ",": !0, + "(": !0, + ")": !0, + "[": !0, + "]": !0, + "{": !0, + "}": !0, + '"': !0, + "'": !0, + ";": !0, + "+": !0, + "-": !0, + "*": !0, + ".*": !0, + "/": !0, + "./": !0, + "%": !0, + "^": !0, + ".^": !0, + "~": !0, + "!": !0, + "&": !0, + "|": !0, + "^|": !0, + "=": !0, + ":": !0, + "?": !0, + "==": !0, + "!=": !0, + "<": !0, + ">": !0, + "<=": !0, + ">=": !0, + "<<": !0, + ">>": !0, + ">>>": !0 + }, M = { + mod: !0, + to: !0, + in: !0, + and: !0, + xor: !0, + or: !0, + not: !0 + }, _ = { + true: !0, + false: !1, + null: null, + undefined: void 0 + }, O = ["NaN", "Infinity"], T = { + '"': '"', + "'": "'", + "\\": "\\", + "/": "/", + b: "\b", + f: "\f", + n: ` +`, + r: "\r", + t: " " + // note that \u is handled separately in parseStringToken() + }; + function I() { + return { + extraNodes: {}, + // current extra nodes, must be careful not to mutate + expression: "", + // current expression + comment: "", + // last parsed comment + index: 0, + // current index in expr + token: "", + // current token + tokenType: D.NULL, + // type of the token + nestingLevel: 0, + // level of nesting inside parameters, used to ignore newline characters + conditionalLevel: null + // when a conditional is being parsed, the level of the conditional is stored here + }; + } + function q(B, ne) { + return B.expression.substr(B.index, ne); + } + function $(B) { + return q(B, 1); + } + function U(B) { + B.index++; + } + function k(B) { + return B.expression.charAt(B.index - 1); + } + function L(B) { + return B.expression.charAt(B.index + 1); + } + function R(B) { + for (B.tokenType = D.NULL, B.token = "", B.comment = ""; ; ) { + if ($(B) === "#") + for (; $(B) !== ` +` && $(B) !== ""; ) + B.comment += $(B), U(B); + if (x.isWhitespace($(B), B.nestingLevel)) + U(B); + else + break; + } + if ($(B) === "") { + B.tokenType = D.DELIMITER; + return; + } + if ($(B) === ` +` && !B.nestingLevel) { + B.tokenType = D.DELIMITER, B.token = $(B), U(B); + return; + } + var ne = $(B), xe = q(B, 2), Te = q(B, 3); + if (Te.length === 3 && A[Te]) { + B.tokenType = D.DELIMITER, B.token = Te, U(B), U(B), U(B); + return; + } + if (xe.length === 2 && A[xe]) { + B.tokenType = D.DELIMITER, B.token = xe, U(B), U(B); + return; + } + if (A[ne]) { + B.tokenType = D.DELIMITER, B.token = ne, U(B); + return; + } + if (x.isDigitDot(ne)) { + B.tokenType = D.NUMBER; + var Pe = q(B, 2); + if (Pe === "0b" || Pe === "0o" || Pe === "0x") { + for (B.token += $(B), U(B), B.token += $(B), U(B); x.isHexDigit($(B)); ) + B.token += $(B), U(B); + if ($(B) === ".") + for (B.token += ".", U(B); x.isHexDigit($(B)); ) + B.token += $(B), U(B); + else if ($(B) === "i") + for (B.token += "i", U(B); x.isDigit($(B)); ) + B.token += $(B), U(B); + return; + } + if ($(B) === ".") { + if (B.token += $(B), U(B), !x.isDigit($(B))) { + B.tokenType = D.DELIMITER; + return; + } + } else { + for (; x.isDigit($(B)); ) + B.token += $(B), U(B); + x.isDecimalMark($(B), L(B)) && (B.token += $(B), U(B)); + } + for (; x.isDigit($(B)); ) + B.token += $(B), U(B); + if ($(B) === "E" || $(B) === "e") { + if (x.isDigit(L(B)) || L(B) === "-" || L(B) === "+") { + if (B.token += $(B), U(B), ($(B) === "+" || $(B) === "-") && (B.token += $(B), U(B)), !x.isDigit($(B))) + throw Ze(B, 'Digit expected, got "' + $(B) + '"'); + for (; x.isDigit($(B)); ) + B.token += $(B), U(B); + if (x.isDecimalMark($(B), L(B))) + throw Ze(B, 'Digit expected, got "' + $(B) + '"'); + } else if (L(B) === ".") + throw U(B), Ze(B, 'Digit expected, got "' + $(B) + '"'); + } + return; + } + if (x.isAlpha($(B), k(B), L(B))) { + for (; x.isAlpha($(B), k(B), L(B)) || x.isDigit($(B)); ) + B.token += $(B), U(B); + We(M, B.token) ? B.tokenType = D.DELIMITER : B.tokenType = D.SYMBOL; + return; + } + for (B.tokenType = D.UNKNOWN; $(B) !== ""; ) + B.token += $(B), U(B); + throw Ze(B, 'Syntax error in part "' + B.token + '"'); + } + function G(B) { + do + R(B); + while (B.token === ` +`); + } + function P(B) { + B.nestingLevel++; + } + function W(B) { + B.nestingLevel--; + } + x.isAlpha = function(ne, xe, Te) { + return x.isValidLatinOrGreek(ne) || x.isValidMathSymbol(ne, Te) || x.isValidMathSymbol(xe, ne); + }, x.isValidLatinOrGreek = function(ne) { + return /^[a-zA-Z_$\u00C0-\u02AF\u0370-\u03FF\u2100-\u214F]$/.test(ne); + }, x.isValidMathSymbol = function(ne, xe) { + return /^[\uD835]$/.test(ne) && /^[\uDC00-\uDFFF]$/.test(xe) && /^[^\uDC55\uDC9D\uDCA0\uDCA1\uDCA3\uDCA4\uDCA7\uDCA8\uDCAD\uDCBA\uDCBC\uDCC4\uDD06\uDD0B\uDD0C\uDD15\uDD1D\uDD3A\uDD3F\uDD45\uDD47-\uDD49\uDD51\uDEA6\uDEA7\uDFCC\uDFCD]$/.test(xe); + }, x.isWhitespace = function(ne, xe) { + return ne === " " || ne === " " || ne === ` +` && xe > 0; + }, x.isDecimalMark = function(ne, xe) { + return ne === "." && xe !== "/" && xe !== "*" && xe !== "^"; + }, x.isDigitDot = function(ne) { + return ne >= "0" && ne <= "9" || ne === "."; + }, x.isDigit = function(ne) { + return ne >= "0" && ne <= "9"; + }, x.isHexDigit = function(ne) { + return ne >= "0" && ne <= "9" || ne >= "a" && ne <= "f" || ne >= "A" && ne <= "F"; + }; + function le(B, ne) { + var xe = I(); + hr(xe, { + expression: B, + extraNodes: ne + }), R(xe); + var Te = Z(xe); + if (xe.token !== "") + throw xe.tokenType === D.DELIMITER ? Ie(xe, "Unexpected operator " + xe.token) : Ze(xe, 'Unexpected part "' + xe.token + '"'); + return Te; + } + function Z(B) { + var ne, xe = [], Te; + for (B.token !== "" && B.token !== ` +` && B.token !== ";" && (ne = H(B), B.comment && (ne.comment = B.comment)); B.token === ` +` || B.token === ";"; ) + xe.length === 0 && ne && (Te = B.token !== ";", xe.push({ + node: ne, + visible: Te + })), R(B), B.token !== ` +` && B.token !== ";" && B.token !== "" && (ne = H(B), B.comment && (ne.comment = B.comment), Te = B.token !== ";", xe.push({ + node: ne, + visible: Te + })); + return xe.length > 0 ? new p(xe) : (ne || (ne = new f(void 0), B.comment && (ne.comment = B.comment)), ne); + } + function H(B) { + var ne, xe, Te, Pe, Ge = te(B); + if (B.token === "=") { + if (mr(Ge)) + return ne = Ge.name, G(B), Te = H(B), new o(new C(ne), Te); + if (pi(Ge)) + return G(B), Te = H(B), new o(Ge.object, Ge.index, Te); + if (Wn(Ge) && mr(Ge.fn) && (Pe = !0, xe = [], ne = Ge.name, Ge.args.forEach(function(Ve, ft) { + mr(Ve) ? xe[ft] = Ve.name : Pe = !1; + }), Pe)) + return G(B), Te = H(B), new l(ne, xe, Te); + throw Ze(B, "Invalid left hand side of assignment operator ="); + } + return Ge; + } + function te(B) { + for (var ne = be(B); B.token === "?"; ) { + var xe = B.conditionalLevel; + B.conditionalLevel = B.nestingLevel, G(B); + var Te = ne, Pe = H(B); + if (B.token !== ":") throw Ze(B, "False part of conditional expression expected"); + B.conditionalLevel = null, G(B); + var Ge = H(B); + ne = new u(Te, Pe, Ge), B.conditionalLevel = xe; + } + return ne; + } + function be(B) { + for (var ne = K(B); B.token === "or"; ) + G(B), ne = new g("or", "or", [ne, K(B)]); + return ne; + } + function K(B) { + for (var ne = ce(B); B.token === "xor"; ) + G(B), ne = new g("xor", "xor", [ne, ce(B)]); + return ne; + } + function ce(B) { + for (var ne = de(B); B.token === "and"; ) + G(B), ne = new g("and", "and", [ne, de(B)]); + return ne; + } + function de(B) { + for (var ne = ue(B); B.token === "|"; ) + G(B), ne = new g("|", "bitOr", [ne, ue(B)]); + return ne; + } + function ue(B) { + for (var ne = ve(B); B.token === "^|"; ) + G(B), ne = new g("^|", "bitXor", [ne, ve(B)]); + return ne; + } + function ve(B) { + for (var ne = he(B); B.token === "&"; ) + G(B), ne = new g("&", "bitAnd", [ne, he(B)]); + return ne; + } + function he(B) { + for (var ne = [Ne(B)], xe = [], Te = { + "==": "equal", + "!=": "unequal", + "<": "smaller", + ">": "larger", + "<=": "smallerEq", + ">=": "largerEq" + }; We(Te, B.token); ) { + var Pe = { + name: B.token, + fn: Te[B.token] + }; + xe.push(Pe), G(B), ne.push(Ne(B)); + } + return ne.length === 1 ? ne[0] : ne.length === 2 ? new g(xe[0].name, xe[0].fn, ne) : new b(xe.map((Ge) => Ge.fn), ne); + } + function Ne(B) { + var ne, xe, Te, Pe; + ne = we(B); + for (var Ge = { + "<<": "leftShift", + ">>": "rightArithShift", + ">>>": "rightLogShift" + }; We(Ge, B.token); ) + xe = B.token, Te = Ge[xe], G(B), Pe = [ne, we(B)], ne = new g(xe, Te, Pe); + return ne; + } + function we(B) { + var ne, xe, Te, Pe; + ne = Se(B); + for (var Ge = { + to: "to", + in: "to" + // alias of 'to' + }; We(Ge, B.token); ) + xe = B.token, Te = Ge[xe], G(B), xe === "in" && B.token === "" ? ne = new g("*", "multiply", [ne, new C("in")], !0) : (Pe = [ne, Se(B)], ne = new g(xe, Te, Pe)); + return ne; + } + function Se(B) { + var ne, xe = []; + if (B.token === ":" ? ne = new f(1) : ne = V(B), B.token === ":" && B.conditionalLevel !== B.nestingLevel) { + for (xe.push(ne); B.token === ":" && xe.length < 3; ) + G(B), B.token === ")" || B.token === "]" || B.token === "," || B.token === "" ? xe.push(new C("end")) : xe.push(V(B)); + xe.length === 3 ? ne = new N(xe[0], xe[2], xe[1]) : ne = new N(xe[0], xe[1]); + } + return ne; + } + function V(B) { + var ne, xe, Te, Pe; + ne = re(B); + for (var Ge = { + "+": "add", + "-": "subtract" + }; We(Ge, B.token); ) { + xe = B.token, Te = Ge[xe], G(B); + var Ve = re(B); + Ve.isPercentage ? Pe = [ne, new g("*", "multiply", [ne, Ve])] : Pe = [ne, Ve], ne = new g(xe, Te, Pe); + } + return ne; + } + function re(B) { + var ne, xe, Te, Pe; + ne = pe(B), xe = ne; + for (var Ge = { + "*": "multiply", + ".*": "dotMultiply", + "/": "divide", + "./": "dotDivide" + }; We(Ge, B.token); ) + Te = B.token, Pe = Ge[Te], G(B), xe = pe(B), ne = new g(Te, Pe, [ne, xe]); + return ne; + } + function pe(B) { + var ne, xe; + for (ne = X(B), xe = ne; B.tokenType === D.SYMBOL || B.token === "in" && Ct(ne) || B.tokenType === D.NUMBER && !Ct(xe) && (!or(xe) || xe.op === "!") || B.token === "("; ) + xe = X(B), ne = new g( + "*", + "multiply", + [ne, xe], + !0 + /* implicit */ + ); + return ne; + } + function X(B) { + for (var ne = ie(B), xe = ne, Te = []; B.token === "/" && zm(xe); ) + if (Te.push(hr({}, B)), G(B), B.tokenType === D.NUMBER) + if (Te.push(hr({}, B)), G(B), B.tokenType === D.SYMBOL || B.token === "(") + hr(B, Te.pop()), Te.pop(), xe = ie(B), ne = new g("/", "divide", [ne, xe]); + else { + Te.pop(), hr(B, Te.pop()); + break; + } + else { + hr(B, Te.pop()); + break; + } + return ne; + } + function ie(B) { + var ne, xe, Te, Pe; + ne = me(B); + for (var Ge = { + "%": "mod", + mod: "mod" + }; We(Ge, B.token); ) + xe = B.token, Te = Ge[xe], G(B), xe === "%" && B.tokenType === D.DELIMITER && B.token !== "(" ? ne = new g("/", "divide", [ne, new f(100)], !1, !0) : (Pe = [ne, me(B)], ne = new g(xe, Te, Pe)); + return ne; + } + function me(B) { + var ne, xe, Te, Pe = { + "-": "unaryMinus", + "+": "unaryPlus", + "~": "bitNot", + not: "not" + }; + return We(Pe, B.token) ? (Te = Pe[B.token], ne = B.token, G(B), xe = [me(B)], new g(ne, Te, xe)) : Ae(B); + } + function Ae(B) { + var ne, xe, Te, Pe; + return ne = Me(B), (B.token === "^" || B.token === ".^") && (xe = B.token, Te = xe === "^" ? "pow" : "dotPow", G(B), Pe = [ne, me(B)], ne = new g(xe, Te, Pe)), ne; + } + function Me(B) { + var ne, xe, Te, Pe; + ne = Q(B); + for (var Ge = { + "!": "factorial", + "'": "ctranspose" + }; We(Ge, B.token); ) + xe = B.token, Te = Ge[xe], R(B), Pe = [ne], ne = new g(xe, Te, Pe), ne = ye(B, ne); + return ne; + } + function Q(B) { + var ne = []; + if (B.tokenType === D.SYMBOL && We(B.extraNodes, B.token)) { + var xe = B.extraNodes[B.token]; + if (R(B), B.token === "(") { + if (ne = [], P(B), R(B), B.token !== ")") + for (ne.push(H(B)); B.token === ","; ) + R(B), ne.push(H(B)); + if (B.token !== ")") + throw Ze(B, "Parenthesis ) expected"); + W(B), R(B); + } + return new xe(ne); + } + return ee(B); + } + function ee(B) { + var ne, xe; + return B.tokenType === D.SYMBOL || B.tokenType === D.DELIMITER && B.token in M ? (xe = B.token, R(B), We(_, xe) ? ne = new f(_[xe]) : O.includes(xe) ? ne = new f(r(xe, "number")) : ne = new C(xe), ne = ye(B, ne), ne) : Ee(B); + } + function ye(B, ne, xe) { + for (var Te; (B.token === "(" || B.token === "[" || B.token === ".") && !xe; ) + if (Te = [], B.token === "(") + if (mr(ne) || pi(ne)) { + if (P(B), R(B), B.token !== ")") + for (Te.push(H(B)); B.token === ","; ) + R(B), Te.push(H(B)); + if (B.token !== ")") + throw Ze(B, "Parenthesis ) expected"); + W(B), R(B), ne = new c(ne, Te); + } else + return ne; + else if (B.token === "[") { + if (P(B), R(B), B.token !== "]") + for (Te.push(H(B)); B.token === ","; ) + R(B), Te.push(H(B)); + if (B.token !== "]") + throw Ze(B, "Parenthesis ] expected"); + W(B), R(B), ne = new a(ne, new h(Te)); + } else { + R(B); + var Pe = B.tokenType === D.SYMBOL || B.tokenType === D.DELIMITER && B.token in M; + if (!Pe) + throw Ze(B, "Property name expected after dot"); + Te.push(new f(B.token)), R(B); + var Ge = !0; + ne = new a(ne, new h(Te, Ge)); + } + return ne; + } + function Ee(B) { + var ne, xe; + return B.token === '"' || B.token === "'" ? (xe = Ce(B, B.token), ne = new f(xe), ne = ye(B, ne), ne) : De(B); + } + function Ce(B, ne) { + for (var xe = ""; $(B) !== "" && $(B) !== ne; ) + if ($(B) === "\\") { + U(B); + var Te = $(B), Pe = T[Te]; + if (Pe !== void 0) + xe += Pe, B.index += 1; + else if (Te === "u") { + var Ge = B.expression.slice(B.index + 1, B.index + 5); + if (/^[0-9A-Fa-f]{4}$/.test(Ge)) + xe += String.fromCharCode(parseInt(Ge, 16)), B.index += 5; + else + throw Ze(B, "Invalid unicode character \\u".concat(Ge)); + } else + throw Ze(B, "Bad escape character \\".concat(Te)); + } else + xe += $(B), U(B); + if (R(B), B.token !== ne) + throw Ze(B, "End of string ".concat(ne, " expected")); + return R(B), xe; + } + function De(B) { + var ne, xe, Te, Pe; + if (B.token === "[") { + if (P(B), R(B), B.token !== "]") { + var Ge = Oe(B); + if (B.token === ";") { + for (Te = 1, xe = [Ge]; B.token === ";"; ) + R(B), B.token !== "]" && (xe[Te] = Oe(B), Te++); + if (B.token !== "]") + throw Ze(B, "End of matrix ] expected"); + W(B), R(B), Pe = xe[0].items.length; + for (var Ve = 1; Ve < Te; Ve++) + if (xe[Ve].items.length !== Pe) + throw Ie(B, "Column dimensions mismatch (" + xe[Ve].items.length + " !== " + Pe + ")"); + ne = new s(xe); + } else { + if (B.token !== "]") + throw Ze(B, "End of matrix ] expected"); + W(B), R(B), ne = Ge; + } + } else + W(B), R(B), ne = new s([]); + return ye(B, ne); + } + return Be(B); + } + function Oe(B) { + for (var ne = [H(B)], xe = 1; B.token === ","; ) + R(B), B.token !== "]" && B.token !== ";" && (ne[xe] = H(B), xe++); + return new s(ne); + } + function Be(B) { + if (B.token === "{") { + P(B); + var ne, xe = {}; + do + if (R(B), B.token !== "}") { + if (B.token === '"' || B.token === "'") + ne = Ce(B, B.token); + else if (B.tokenType === D.SYMBOL || B.tokenType === D.DELIMITER && B.token in M) + ne = B.token, R(B); + else + throw Ze(B, "Symbol or string expected as object key"); + if (B.token !== ":") + throw Ze(B, "Colon : expected after object key"); + R(B), xe[ne] = H(B); + } + while (B.token === ","); + if (B.token !== "}") + throw Ze(B, "Comma , or bracket } expected after object value"); + W(B), R(B); + var Te = new d(xe); + return Te = ye(B, Te), Te; + } + return Le(B); + } + function Le(B) { + var ne; + if (B.tokenType === D.NUMBER) { + ne = B.token, R(B); + var xe = Ii(ne, n), Te = r(ne, xe); + return new f(Te); + } + return Re(B); + } + function Re(B) { + var ne; + if (B.token === "(") { + if (P(B), R(B), ne = H(B), B.token !== ")") + throw Ze(B, "Parenthesis ) expected"); + return W(B), R(B), ne = new v(ne), ne = ye(B, ne), ne; + } + return rt(B); + } + function rt(B) { + throw B.token === "" ? 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+ }, r.prototype.remove = function(n) { + this.scope.delete(n); + }, r.prototype.clear = function() { + this.scope.clear(); + }, r; +}, { + isClass: !0 +}), ab = "parser", Iq = ["typed", "Parser"], gf = /* @__PURE__ */ j(ab, Iq, (t) => { + var { + typed: e, + Parser: r + } = t; + return e(ab, { + "": function() { + return new r(); + } + }); +}), sb = "lup", Bq = ["typed", "matrix", "abs", "addScalar", "divideScalar", "multiplyScalar", "subtractScalar", "larger", "equalScalar", "unaryMinus", "DenseMatrix", "SparseMatrix", "Spa"], yf = /* @__PURE__ */ j(sb, Bq, (t) => { + var { + typed: e, + matrix: r, + abs: n, + addScalar: a, + divideScalar: s, + multiplyScalar: o, + subtractScalar: p, + larger: u, + equalScalar: f, + unaryMinus: l, + DenseMatrix: c, + SparseMatrix: h, + Spa: d + } = t; + return e(sb, { + DenseMatrix: function(b) { + return g(b); + }, + SparseMatrix: function(b) { + return v(b); + }, + Array: function(b) { + var C = r(b), x = g(C); + return { + L: x.L.valueOf(), + U: x.U.valueOf(), + p: x.p + }; + } + }); + function g(N) { + var b = N._size[0], C = N._size[1], x = Math.min(b, C), E = nt(N._data), D = [], A = [b, x], M = [], _ = [x, C], O, T, I, q = []; + for (O = 0; O < b; O++) + q[O] = O; + for (T = 0; T < C; T++) { + if (T > 0) + for (O = 0; O < b; O++) { + var $ = Math.min(O, T), U = 0; + for (I = 0; I < $; I++) + U = a(U, o(E[O][I], E[I][T])); + E[O][T] = p(E[O][T], U); + } + var k = T, L = 0, R = 0; + for (O = T; O < b; O++) { + var G = E[O][T], P = n(G); + u(P, L) && (k = O, L = P, R = G); + } + if (T !== k && (q[T] = [q[k], q[k] = q[T]][0], c._swapRows(T, k, E)), T < b) + for (O = T + 1; O < b; O++) { + var W = E[O][T]; + f(W, 0) || (E[O][T] = s(E[O][T], R)); + } + } + for (T = 0; T < C; T++) + for (O = 0; O < b; O++) { + if (T === 0 && (O < C && (M[O] = []), D[O] = []), O < T) { + O < C && (M[O][T] = E[O][T]), T < b && (D[O][T] = 0); + continue; + } + if (O === T) { + O < C && (M[O][T] = E[O][T]), T < b && (D[O][T] = 1); + continue; + } + O < C && (M[O][T] = 0), T < b && (D[O][T] = E[O][T]); + } + var le = new c({ + data: D, + size: A + }), Z = new c({ + data: M, + size: _ + }), H = []; + for (O = 0, x = q.length; O < x; O++) + H[q[O]] = O; + return { + L: le, + U: Z, + p: H, + toString: function() { + return "L: " + this.L.toString() + ` +U: ` + this.U.toString() + ` +P: ` + this.p; + } + }; + } + function v(N) { + var b = N._size[0], C = N._size[1], x = Math.min(b, C), E = N._values, D = N._index, A = N._ptr, M = [], _ = [], O = [], T = [b, x], I = [], q = [], $ = [], U = [x, C], k, L, R, G = [], P = []; + for (k = 0; k < b; k++) + G[k] = k, P[k] = k; + var W = function(H, te) { + var be = P[H], K = P[te]; + G[be] = te, G[K] = H, P[H] = K, P[te] = be; + }, le = function() { + var H = new d(); + L < b && (O.push(M.length), M.push(1), _.push(L)), $.push(I.length); + var te = A[L], be = A[L + 1]; + for (R = te; R < be; R++) + k = D[R], H.set(G[k], E[R]); + L > 0 && H.forEach(0, L - 1, function(ue, ve) { + h._forEachRow(ue, M, _, O, function(he, Ne) { + he > ue && H.accumulate(he, l(o(Ne, ve))); + }); + }); + var K = L, ce = H.get(L), de = n(ce); + H.forEach(L + 1, b - 1, function(ue, ve) { + var he = n(ve); + u(he, de) && (K = ue, de = he, ce = ve); + }), L !== K && (h._swapRows(L, K, T[1], M, _, O), h._swapRows(L, K, U[1], I, q, $), H.swap(L, K), W(L, K)), H.forEach(0, b - 1, function(ue, ve) { + ue <= L ? (I.push(ve), q.push(ue)) : (ve = s(ve, ce), f(ve, 0) || (M.push(ve), _.push(ue))); + }); + }; + for (L = 0; L < C; L++) + le(); + return $.push(I.length), O.push(M.length), { + L: new h({ + values: M, + index: _, + ptr: O, + size: T + }), + U: new h({ + values: I, + index: q, + ptr: $, + size: U + }), + p: G, + toString: function() { + return "L: " + this.L.toString() + ` +U: ` + this.U.toString() + ` +P: ` + this.p; + } + }; + } +}), ob = "qr", Rq = ["typed", "matrix", "zeros", "identity", "isZero", "equal", "sign", "sqrt", "conj", "unaryMinus", "addScalar", "divideScalar", "multiplyScalar", "subtractScalar", "complex"], xf = /* @__PURE__ */ j(ob, Rq, (t) => { + var { + typed: e, + matrix: r, + zeros: n, + identity: a, + isZero: s, + equal: o, + sign: p, + sqrt: u, + conj: f, + unaryMinus: l, + addScalar: c, + divideScalar: h, + multiplyScalar: d, + subtractScalar: g, + complex: v + } = t; + return hr(e(ob, { + DenseMatrix: function(E) { + return b(E); + }, + SparseMatrix: function(E) { + return C(); + }, + Array: function(E) { + var D = r(E), A = b(D); + return { + Q: A.Q.valueOf(), + R: A.R.valueOf() + }; + } + }), { + _denseQRimpl: N + }); + function N(x) { + var E = x._size[0], D = x._size[1], A = a([E], "dense"), M = A._data, _ = x.clone(), O = _._data, T, I, q, $ = n([E], ""); + for (q = 0; q < Math.min(D, E); ++q) { + var U = O[q][q], k = l(o(U, 0) ? 1 : p(U)), L = f(k), R = 0; + for (T = q; T < E; T++) + R = c(R, d(O[T][q], f(O[T][q]))); + var G = d(k, u(R)); + if (!s(G)) { + var P = g(U, G); + for ($[q] = 1, T = q + 1; T < E; T++) + $[T] = h(O[T][q], P); + var W = l(f(h(P, G))), le = void 0; + for (I = q; I < D; I++) { + for (le = 0, T = q; T < E; T++) + le = c(le, d(f($[T]), O[T][I])); + for (le = d(le, W), T = q; T < E; T++) + O[T][I] = d(g(O[T][I], d($[T], le)), L); + } + for (T = 0; T < E; T++) { + for (le = 0, I = q; I < E; I++) + le = c(le, d(M[T][I], $[I])); + for (le = d(le, W), I = q; I < E; ++I) + M[T][I] = h(g(M[T][I], d(le, f($[I]))), L); + } + } + } + return { + Q: A, + R: _, + toString: function() { + return "Q: " + this.Q.toString() + ` +R: ` + this.R.toString(); + } + }; + } + function b(x) { + var E = N(x), D = E.R._data; + if (x._data.length > 0) + for (var A = D[0][0].type === "Complex" ? v(0) : 0, M = 0; M < D.length; ++M) + for (var _ = 0; _ < M && _ < (D[0] || []).length; ++_) + D[M][_] = A; + return E; + } + function C(x) { + throw new Error("qr not implemented for sparse matrices yet"); + } +}); +function Lq(t, e, r, n) { + t._values; + for (var a = t._index, s = t._ptr, o = t._size, p = t._datatype, u = o[0], f = o[1], l = null, c = [], h = [], d = 0, g = 0; g < f; g++) { + h[g] = d; + for (var v = r ? r[g] : g, N = s[v], b = s[v + 1], C = N; C < b; C++) { + var x = a[C]; + c[d] = x, d++; + } + } + return h[f] = d, t.createSparseMatrix({ + values: l, + index: c, + ptr: h, + size: [u, f], + datatype: p + }); +} +function Jw(t, e, r, n, a, s, o) { + var p = 0; + for (r[o] = t; p >= 0; ) { + var u = r[o + p], f = r[n + u]; + f === -1 ? (p--, s[e++] = u) : (r[n + u] = r[a + f], ++p, r[o + p] = f); + } + return e; +} +function Pq(t, e) { + if (!t) + return null; + var r = 0, n, a = [], s = [], o = 0, p = e, u = 2 * e; + for (n = 0; n < e; n++) + s[o + n] = -1; + for (n = e - 1; n >= 0; n--) + t[n] !== -1 && (s[p + n] = s[o + t[n]], s[o + t[n]] = n); + for (n = 0; n < e; n++) + t[n] === -1 && (r = Jw(n, r, s, o, p, a, u)); + return a; +} +function kq(t, e) { + if (!t) + return null; + var r = t._index, n = t._ptr, a = t._size, s = a[0], o = a[1], p = [], u = [], f = 0, l = o, c, h; + for (c = 0; c < s; c++) + u[l + c] = -1; + for (var d = 0; d < o; d++) { + p[d] = -1, u[f + d] = -1; + for (var g = n[d], v = n[d + 1], N = g; N < v; N++) { + var b = r[N]; + for (c = u[l + b]; c !== -1 && c < d; c = h) + h = u[f + c], u[f + c] = d, h === -1 && (p[c] = d); + u[l + b] = d; + } + } + return p; +} +function $q(t, e, r) { + for (var n = t._values, a = t._index, s = t._ptr, o = t._size, p = o[1], u = 0, f = 0; f < p; f++) { + var l = s[f]; + for (s[f] = u; l < s[f + 1]; l++) + e(a[l], f, n ? n[l] : 1, r) && (a[u] = a[l], n && (n[u] = n[l]), u++); + } + return s[p] = u, a.splice(u, a.length - u), n && n.splice(u, n.length - u), u; +} +function Si(t) { + return -t - 2; +} +var zq = "csAmd", Uq = ["add", "multiply", "transpose"], Gq = /* @__PURE__ */ j(zq, Uq, (t) => { + var { + add: e, + multiply: r, + transpose: n + } = t; + return function(l, c) { + if (!c || l <= 0 || l > 3) + return null; + var h = c._size, d = h[0], g = h[1], v = 0, N = Math.max(16, 10 * Math.sqrt(g)); + N = Math.min(g - 2, N); + var b = a(l, c, d, g, N); + $q(b, u, null); + for (var C = b._index, x = b._ptr, E = x[g], D = [], A = [], M = 0, _ = g + 1, O = 2 * (g + 1), T = 3 * (g + 1), I = 4 * (g + 1), q = 5 * (g + 1), $ = 6 * (g + 1), U = 7 * (g + 1), k = D, L = s(g, x, A, M, T, k, O, U, _, $, I, q), R = o(g, x, A, q, I, $, N, _, T, k, O), G = 0, P, W, le, Z, H, te, be, K, ce, de, ue, ve, he, Ne, we, Se; R < g; ) { + for (le = -1; G < g && (le = A[T + G]) === -1; G++) ; + A[O + le] !== -1 && (k[A[O + le]] = -1), A[T + G] = A[O + le]; + var V = A[I + le], re = A[_ + le]; + R += re; + var pe = 0; + A[_ + le] = -re; + var X = x[le], ie = V === 0 ? X : E, me = ie; + for (Z = 1; Z <= V + 1; Z++) { + for (Z > V ? (te = le, be = X, K = A[M + le] - V) : (te = C[X++], be = x[te], K = A[M + te]), H = 1; H <= K; H++) + P = C[be++], !((ce = A[_ + P]) <= 0) && (pe += ce, A[_ + P] = -ce, C[me++] = P, A[O + P] !== -1 && (k[A[O + P]] = k[P]), k[P] !== -1 ? A[O + k[P]] = A[O + P] : A[T + A[q + P]] = A[O + P]); + te !== le && (x[te] = Si(le), A[$ + te] = 0); + } + for (V !== 0 && (E = me), A[q + le] = pe, x[le] = ie, A[M + le] = me - ie, A[I + le] = -2, L = p(L, v, A, $, g), de = ie; de < me; de++) + if (P = C[de], !((ue = A[I + P]) <= 0)) { + ce = -A[_ + P]; + var Ae = L - ce; + for (X = x[P], ve = x[P] + ue - 1; X <= ve; X++) + te = C[X], A[$ + te] >= L ? A[$ + te] -= ce : A[$ + te] !== 0 && (A[$ + te] = A[q + te] + Ae); + } + for (de = ie; de < me; de++) { + for (P = C[de], ve = x[P], he = ve + A[I + P] - 1, Ne = ve, we = 0, Se = 0, X = ve; X <= he; X++) + if (te = C[X], A[$ + te] !== 0) { + var Me = A[$ + te] - L; + Me > 0 ? (Se += Me, C[Ne++] = te, we += te) : (x[te] = Si(le), A[$ + te] = 0); + } + A[I + P] = Ne - ve + 1; + var Q = Ne, ee = ve + A[M + P]; + for (X = he + 1; X < ee; X++) { + W = C[X]; + var ye = A[_ + W]; + ye <= 0 || (Se += ye, C[Ne++] = W, we += W); + } + Se === 0 ? (x[P] = Si(le), ce = -A[_ + P], pe -= ce, re += ce, R += ce, A[_ + P] = 0, A[I + P] = -1) : (A[q + P] = Math.min(A[q + P], Se), C[Ne] = C[Q], C[Q] = C[ve], C[ve] = le, A[M + P] = Ne - ve + 1, we = (we < 0 ? -we : we) % g, A[O + P] = A[U + we], A[U + we] = P, k[P] = we); + } + for (A[q + le] = pe, v = Math.max(v, pe), L = p(L + v, v, A, $, g), de = ie; de < me; de++) + if (P = C[de], !(A[_ + P] >= 0)) + for (we = k[P], P = A[U + we], A[U + we] = -1; P !== -1 && A[O + P] !== -1; P = A[O + P], L++) { + for (K = A[M + P], ue = A[I + P], X = x[P] + 1; X <= x[P] + K - 1; X++) + A[$ + C[X]] = L; + var Ee = P; + for (W = A[O + P]; W !== -1; ) { + var Ce = A[M + W] === K && A[I + W] === ue; + for (X = x[W] + 1; Ce && X <= x[W] + K - 1; X++) + A[$ + C[X]] !== L && (Ce = 0); + Ce ? (x[W] = Si(P), A[_ + P] += A[_ + W], A[_ + W] = 0, A[I + W] = -1, W = A[O + W], A[O + Ee] = W) : (Ee = W, W = A[O + W]); + } + } + for (X = ie, de = ie; de < me; de++) + P = C[de], !((ce = -A[_ + P]) <= 0) && (A[_ + P] = ce, Se = A[q + P] + pe - ce, Se = Math.min(Se, g - R - ce), A[T + Se] !== -1 && (k[A[T + Se]] = P), A[O + P] = A[T + Se], k[P] = -1, A[T + Se] = P, G = Math.min(G, Se), A[q + P] = Se, C[X++] = P); + A[_ + le] = re, (A[M + le] = X - ie) === 0 && (x[le] = -1, A[$ + le] = 0), V !== 0 && (E = X); + } + for (P = 0; P < g; P++) + x[P] = Si(x[P]); + for (W = 0; W <= g; W++) + A[T + W] = -1; + for (W = g; W >= 0; W--) + A[_ + W] > 0 || (A[O + W] = A[T + x[W]], A[T + x[W]] = W); + for (te = g; te >= 0; te--) + A[_ + te] <= 0 || x[te] !== -1 && (A[O + te] = A[T + x[te]], A[T + x[te]] = te); + for (le = 0, P = 0; P <= g; P++) + x[P] === -1 && (le = Jw(P, le, A, T, O, D, $)); + return D.splice(D.length - 1, 1), D; + }; + function a(f, l, c, h, d) { + var g = n(l); + if (f === 1 && h === c) + return e(l, g); + if (f === 2) { + for (var v = g._index, N = g._ptr, b = 0, C = 0; C < c; C++) { + var x = N[C]; + if (N[C] = b, !(N[C + 1] - x > d)) + for (var E = N[C + 1]; x < E; x++) + v[b++] = v[x]; + } + return N[c] = b, l = n(g), r(g, l); + } + return r(g, l); + } + function s(f, l, c, h, d, g, v, N, b, C, x, E) { + for (var D = 0; D < f; D++) + c[h + D] = l[D + 1] - l[D]; + c[h + f] = 0; + for (var A = 0; A <= f; A++) + c[d + A] = -1, g[A] = -1, c[v + A] = -1, c[N + A] = -1, c[b + A] = 1, c[C + A] = 1, c[x + A] = 0, c[E + A] = c[h + A]; + var M = p(0, 0, c, C, f); + return c[x + f] = -2, l[f] = -1, c[C + f] = 0, M; + } + function o(f, l, c, h, d, g, v, N, b, C, x) { + for (var E = 0, D = 0; D < f; D++) { + var A = c[h + D]; + if (A === 0) + c[d + D] = -2, E++, l[D] = -1, c[g + D] = 0; + else if (A > v) + c[N + D] = 0, c[d + D] = -1, E++, l[D] = Si(f), c[N + f]++; + else { + var M = c[b + A]; + M !== -1 && (C[M] = D), c[x + D] = c[b + A], c[b + A] = D; + } + } + return E; + } + function p(f, l, c, h, d) { + if (f < 2 || f + l < 0) { + for (var g = 0; g < d; g++) + c[h + g] !== 0 && (c[h + g] = 1); + f = 2; + } + return f; + } + function u(f, l) { + return f !== l; + } +}); +function Hq(t, e, r, n, a, s, o) { + var p, u, f = 0, l; + if (t <= e || r[n + e] <= r[a + t]) + return -1; + r[a + t] = r[n + e]; + var c = r[s + t]; + if (r[s + t] = e, c === -1) + f = 1, l = t; + else { + for (f = 2, l = c; l !== r[o + l]; l = r[o + l]) ; + for (p = c; p !== l; p = u) + u = r[o + p], r[o + p] = l; + } + return { + jleaf: f, + q: l + }; +} +var Qq = "csCounts", Vq = ["transpose"], Wq = /* @__PURE__ */ j(Qq, Vq, (t) => { + var { + transpose: e + } = t; + return function(r, n, a, s) { + if (!r || !n || !a) + return null; + var o = r._size, p = o[0], u = o[1], f, l, c, h, d, g, v, N = 4 * u + (s ? u + p + 1 : 0), b = [], C = 0, x = u, E = 2 * u, D = 3 * u, A = 4 * u, M = 5 * u + 1; + for (c = 0; c < N; c++) + b[c] = -1; + var _ = [], O = e(r), T = O._index, I = O._ptr; + for (c = 0; c < u; c++) + for (l = a[c], _[l] = b[D + l] === -1 ? 1 : 0; l !== -1 && b[D + l] === -1; l = n[l]) + b[D + l] = c; + if (s) { + for (c = 0; c < u; c++) + b[a[c]] = c; + for (f = 0; f < p; f++) { + for (c = u, g = I[f], v = I[f + 1], d = g; d < v; d++) + c = Math.min(c, b[T[d]]); + b[M + f] = b[A + c], b[A + c] = f; + } + } + for (f = 0; f < u; f++) + b[C + f] = f; + for (c = 0; c < u; c++) { + for (l = a[c], n[l] !== -1 && _[n[l]]--, h = s ? b[A + c] : l; h !== -1; h = s ? b[M + h] : -1) + for (d = I[h]; d < I[h + 1]; d++) { + f = T[d]; + var q = Hq(f, l, b, D, x, E, C); + q.jleaf >= 1 && _[l]++, q.jleaf === 2 && _[q.q]--; + } + n[l] !== -1 && (b[C + l] = n[l]); + } + for (l = 0; l < u; l++) + n[l] !== -1 && (_[n[l]] += _[l]); + return _; + }; +}), jq = "csSqr", Zq = ["add", "multiply", "transpose"], Jq = /* @__PURE__ */ j(jq, Zq, (t) => { + var { + add: e, + multiply: r, + transpose: n + } = t, a = Gq({ + add: e, + multiply: r, + transpose: n + }), s = Wq({ + transpose: n + }); + return function(u, f, l) { + var c = f._ptr, h = f._size, d = h[1], g, v = {}; + if (v.q = a(u, f), u && !v.q) + return null; + if (l) { + var N = u ? Lq(f, null, v.q) : f; + v.parent = kq(N); + var b = Pq(v.parent, d); + if (v.cp = s(N, v.parent, b, 1), N && v.parent && v.cp && o(N, v)) + for (v.unz = 0, g = 0; g < d; g++) + v.unz += v.cp[g]; + } else + v.unz = 4 * c[d] + d, v.lnz = v.unz; + return v; + }; + function o(p, u) { + var f = p._ptr, l = p._index, c = p._size, h = c[0], d = c[1]; + u.pinv = [], u.leftmost = []; + var g = u.parent, v = u.pinv, N = u.leftmost, b = [], C = 0, x = h, E = h + d, D = h + 2 * d, A, M, _, O, T; + for (M = 0; M < d; M++) + b[x + M] = -1, b[E + M] = -1, b[D + M] = 0; + for (A = 0; A < h; A++) + N[A] = -1; + for (M = d - 1; M >= 0; M--) + for (O = f[M], T = f[M + 1], _ = O; _ < T; _++) + N[l[_]] = M; + for (A = h - 1; A >= 0; A--) + v[A] = -1, M = N[A], M !== -1 && (b[D + M]++ === 0 && (b[E + M] = A), b[C + A] = b[x + M], b[x + M] = A); + for (u.lnz = 0, u.m2 = h, M = 0; M < d; M++) + if (A = b[x + M], u.lnz++, A < 0 && (A = u.m2++), v[A] = M, !(--D[M] <= 0)) { + u.lnz += b[D + M]; + var I = g[M]; + I !== -1 && (b[D + I] === 0 && (b[E + I] = b[E + M]), b[C + b[E + M]] = b[x + I], b[x + I] = b[C + A], b[D + I] += b[D + M]); + } + for (A = 0; A < h; A++) + v[A] < 0 && (v[A] = M++); + return !0; + } +}); +function od(t, e) { + return t[e] < 0; +} +function Yw(t, e) { + t[e] = Si(t[e]); +} +function ub(t) { + return t < 0 ? Si(t) : t; +} +function Yq(t, e, r, n, a) { + var s = e._index, o = e._ptr, p = e._size, u = p[1], f, l, c, h = 0; + for (n[0] = t; h >= 0; ) { + t = n[h]; + var d = a ? a[t] : t; + od(o, t) || (Yw(o, t), n[u + h] = d < 0 ? 0 : ub(o[d])); + var g = 1; + for (l = n[u + h], c = d < 0 ? 0 : ub(o[d + 1]); l < c; l++) + if (f = s[l], !od(o, f)) { + n[u + h] = l, n[++h] = f, g = 0; + break; + } + g && (h--, n[--r] = t); + } + return r; +} +function Xq(t, e, r, n, a) { + var s = t._ptr, o = t._size, p = e._index, u = e._ptr, f = o[1], l, c, h, d = f; + for (c = u[r], h = u[r + 1], l = c; l < h; l++) { + var g = p[l]; + od(s, g) || (d = Yq(g, t, d, n, a)); + } + for (l = d; l < f; l++) + Yw(s, n[l]); + return d; +} +var Kq = "csSpsolve", e4 = ["divideScalar", "multiply", "subtract"], t4 = /* @__PURE__ */ j(Kq, e4, (t) => { + var { + divideScalar: e, + multiply: r, + subtract: n + } = t; + return function(s, o, p, u, f, l, c) { + var h = s._values, d = s._index, g = s._ptr, v = s._size, N = v[1], b = o._values, C = o._index, x = o._ptr, E, D, A, M, _ = Xq(s, o, p, u, l); + for (E = _; E < N; E++) + f[u[E]] = 0; + for (D = x[p], A = x[p + 1], E = D; E < A; E++) + f[C[E]] = b[E]; + for (var O = _; O < N; O++) { + var T = u[O], I = l ? l[T] : T; + if (!(I < 0)) + for (D = g[I], A = g[I + 1], f[T] = e(f[T], h[c ? D : A - 1]), E = c ? D + 1 : D, M = c ? A : A - 1; E < M; E++) { + var q = d[E]; + f[q] = n(f[q], r(h[E], f[T])); + } + } + return _; + }; +}), r4 = "csLu", n4 = ["abs", "divideScalar", "multiply", "subtract", "larger", "largerEq", "SparseMatrix"], i4 = /* @__PURE__ */ j(r4, n4, (t) => { + var { + abs: e, + divideScalar: r, + multiply: n, + subtract: a, + larger: s, + largerEq: o, + SparseMatrix: p + } = t, u = t4({ + divideScalar: r, + multiply: n, + subtract: a + }); + return function(l, c, h) { + if (!l) + return null; + var d = l._size, g = d[1], v, N = 100, b = 100; + c && (v = c.q, N = c.lnz || N, b = c.unz || b); + var C = [], x = [], E = [], D = new p({ + values: C, + index: x, + ptr: E, + size: [g, g] + }), A = [], M = [], _ = [], O = new p({ + values: A, + index: M, + ptr: _, + size: [g, g] + }), T = [], I, q, $ = [], U = []; + for (I = 0; I < g; I++) + $[I] = 0, T[I] = -1, E[I + 1] = 0; + N = 0, b = 0; + for (var k = 0; k < g; k++) { + E[k] = N, _[k] = b; + var L = v ? v[k] : k, R = u(D, l, L, U, $, T, 1), G = -1, P = -1; + for (q = R; q < g; q++) + if (I = U[q], T[I] < 0) { + var W = e($[I]); + s(W, P) && (P = W, G = I); + } else + M[b] = T[I], A[b++] = $[I]; + if (G === -1 || P <= 0) + return null; + T[L] < 0 && o(e($[L]), n(P, h)) && (G = L); + var le = $[G]; + for (M[b] = k, A[b++] = le, T[G] = k, x[N] = G, C[N++] = 1, q = R; q < g; q++) + I = U[q], T[I] < 0 && (x[N] = I, C[N++] = r($[I], le)), $[I] = 0; + } + for (E[g] = N, _[g] = b, q = 0; q < N; q++) + x[q] = T[x[q]]; + return C.splice(N, C.length - N), x.splice(N, x.length - N), A.splice(b, A.length - b), M.splice(b, M.length - b), { + L: D, + U: O, + pinv: T + }; + }; +}), lb = "slu", a4 = ["typed", "abs", "add", "multiply", "transpose", "divideScalar", "subtract", "larger", "largerEq", "SparseMatrix"], bf = /* @__PURE__ */ j(lb, a4, (t) => { + var { + typed: e, + abs: r, + add: n, + multiply: a, + transpose: s, + divideScalar: o, + subtract: p, + larger: u, + largerEq: f, + SparseMatrix: l + } = t, c = Jq({ + add: n, + multiply: a, + transpose: s + }), h = i4({ + abs: r, + divideScalar: o, + multiply: a, + subtract: p, + larger: u, + largerEq: f, + SparseMatrix: l + }); + return e(lb, { + "SparseMatrix, number, number": function(g, v, N) { + if (!Xe(v) || v < 0 || v > 3) + throw new Error("Symbolic Ordering and Analysis order must be an integer number in the interval [0, 3]"); + if (N < 0 || N > 1) + throw new Error("Partial pivoting threshold must be a number from 0 to 1"); + var b = c(v, g, !1), C = h(g, b, N); + return { + L: C.L, + U: C.U, + p: C.pinv, + q: b.q, + toString: function() { + return "L: " + this.L.toString() + ` +U: ` + this.U.toString() + ` +p: ` + this.p.toString() + (this.q ? ` +q: ` + this.q.toString() : "") + ` +`; + } + }; + } + }); +}); +function cb(t, e) { + var r, n = e.length, a = []; + if (t) + for (r = 0; r < n; r++) + a[t[r]] = e[r]; + else + for (r = 0; r < n; r++) + a[r] = e[r]; + return a; +} +var fb = "lusolve", s4 = ["typed", "matrix", "lup", "slu", "usolve", "lsolve", "DenseMatrix"], wf = /* @__PURE__ */ j(fb, s4, (t) => { + var { + typed: e, + matrix: r, + lup: n, + slu: a, + usolve: s, + lsolve: o, + DenseMatrix: p + } = t, u = to({ + DenseMatrix: p + }); + return e(fb, { + "Array, Array | Matrix": function(h, d) { + h = r(h); + var g = n(h), v = l(g.L, g.U, g.p, null, d); + return v.valueOf(); + }, + "DenseMatrix, Array | Matrix": function(h, d) { + var g = n(h); + return l(g.L, g.U, g.p, null, d); + }, + "SparseMatrix, Array | Matrix": function(h, d) { + var g = n(h); + return l(g.L, g.U, g.p, null, d); + }, + "SparseMatrix, Array | Matrix, number, number": function(h, d, g, v) { + var N = a(h, g, v); + return l(N.L, N.U, N.p, N.q, d); + }, + "Object, Array | Matrix": function(h, d) { + return l(h.L, h.U, h.p, h.q, d); + } + }); + function f(c) { + if (tt(c)) + return c; + if (Rt(c)) + return r(c); + throw new TypeError("Invalid Matrix LU decomposition"); + } + function l(c, h, d, g, v) { + c = f(c), h = f(h), d && (v = u(c, v, !0), v._data = cb(d, v._data)); + var N = o(c, v), b = s(h, N); + return g && (b._data = cb(g, b._data)), b; + } +}), pb = "polynomialRoot", o4 = ["typed", "isZero", "equalScalar", "add", "subtract", "multiply", "divide", "sqrt", "unaryMinus", "cbrt", "typeOf", "im", "re"], Nf = /* @__PURE__ */ j(pb, o4, (t) => { + var { + typed: e, + isZero: r, + equalScalar: n, + add: a, + subtract: s, + multiply: o, + divide: p, + sqrt: u, + unaryMinus: f, + cbrt: l, + typeOf: c, + im: h, + re: d + } = t; + return e(pb, { + "number|Complex, ...number|Complex": (g, v) => { + for (var N = [g, ...v]; N.length > 0 && r(N[N.length - 1]); ) + N.pop(); + if (N.length < 2) + throw new RangeError("Polynomial [".concat(g, ", ").concat(v, "] must have a non-zero non-constant coefficient")); + switch (N.length) { + case 2: + return [f(p(N[0], N[1]))]; + case 3: { + var [b, C, x] = N, E = o(2, x), D = o(C, C), A = o(4, x, b); + if (n(D, A)) return [p(f(C), E)]; + var M = u(s(D, A)); + return [p(s(M, C), E), p(s(f(M), C), E)]; + } + case 4: { + var [_, O, T, I] = N, q = f(o(3, I)), $ = o(T, T), U = o(3, I, O), k = a(o(2, T, T, T), o(27, I, I, _)), L = o(9, I, T, O); + if (n($, U) && n(k, L)) + return [p(T, q)]; + var R = s($, U), G = s(k, L), P = a(o(18, I, T, O, _), o(T, T, O, O)), W = a(o(4, T, T, T, _), o(4, I, O, O, O), o(27, I, I, _, _)); + if (n(P, W)) + return [ + p(s(o(4, I, T, O), a(o(9, I, I, _), o(T, T, T))), o(I, R)), + // simple root + p(s(o(9, I, _), o(T, O)), o(2, R)) + // double root + ]; + var le; + n($, U) ? le = G : le = p(a(G, u(s(o(G, G), o(4, R, R, R)))), 2); + var Z = !0, H = l(le, Z).toArray().map((te) => p(a(T, te, p(R, te)), q)); + return H.map((te) => c(te) === "Complex" && n(d(te), d(te) + h(te)) ? d(te) : te); + } + default: + throw new RangeError("only implemented for cubic or lower-order polynomials, not ".concat(N)); + } + } + }); +}), u4 = "Help", l4 = ["evaluate"], Df = /* @__PURE__ */ j(u4, l4, (t) => { + var { + evaluate: e + } = t; + function r(n) { + if (!(this instanceof r)) + throw new SyntaxError("Constructor must be called with the new operator"); + if (!n) throw new Error('Argument "doc" missing'); + this.doc = n; + } + return r.prototype.type = "Help", r.prototype.isHelp = !0, r.prototype.toString = function() { + var n = this.doc || {}, a = ` +`; + if (n.name && (a += "Name: " + n.name + ` + +`), n.category && (a += "Category: " + n.category + ` + +`), n.description && (a += `Description: + ` + n.description + ` + +`), n.syntax && (a += `Syntax: + ` + n.syntax.join(` + `) + ` + +`), n.examples) { + a += `Examples: +`; + for (var s = !1, o = e("config()"), p = { + config: (c) => (s = !0, e("config(newConfig)", { + newConfig: c + })) + }, u = 0; u < n.examples.length; u++) { + var f = n.examples[u]; + a += " " + f + ` +`; + var l = void 0; + try { + l = e(f, p); + } catch (c) { + l = c; + } + l !== void 0 && !Au(l) && (a += " " + Dt(l, { + precision: 14 + }) + ` +`); + } + a += ` +`, s && e("config(originalConfig)", { + originalConfig: o + }); + } + return n.mayThrow && n.mayThrow.length && (a += "Throws: " + n.mayThrow.join(", ") + ` + +`), n.seealso && n.seealso.length && (a += "See also: " + n.seealso.join(", ") + ` +`), a; + }, r.prototype.toJSON = function() { + var n = nt(this.doc); + return n.mathjs = "Help", n; + }, r.fromJSON = function(n) { + var a = {}; + return Object.keys(n).filter((s) => s !== "mathjs").forEach((s) => { + a[s] = n[s]; + }), new r(a); + }, r.prototype.valueOf = r.prototype.toString, r; +}, { + isClass: !0 +}), c4 = "Chain", f4 = ["?on", "math", "typed"], Af = /* @__PURE__ */ j(c4, f4, (t) => { + var { + on: e, + math: r, + typed: n + } = t; + function a(f) { + if (!(this instanceof a)) + throw new SyntaxError("Constructor must be called with the new operator"); + Eu(f) ? this.value = f.value : this.value = f; + } + a.prototype.type = "Chain", a.prototype.isChain = !0, a.prototype.done = function() { + return this.value; + }, a.prototype.valueOf = function() { + return this.value; + }, a.prototype.toString = function() { + return Dt(this.value); + }, a.prototype.toJSON = function() { + return { + mathjs: "Chain", + value: this.value + }; + }, a.fromJSON = function(f) { + return new a(f.value); + }; + function s(f, l) { + typeof l == "function" && (a.prototype[f] = p(l)); + } + function o(f, l) { + Jo(a.prototype, f, function() { + var h = l(); + if (typeof h == "function") + return p(h); + }); + } + function p(f) { + return function() { + if (arguments.length === 0) + return new a(f(this.value)); + for (var l = [this.value], c = 0; c < arguments.length; c++) + l[c + 1] = arguments[c]; + if (n.isTypedFunction(f)) { + var h = n.resolve(f, l); + if (h.params.length === 1) + throw new Error("chain function " + f.name + " cannot match rest parameter between chain value and additional arguments."); + return new a(h.implementation.apply(f, l)); + } + return new a(f.apply(f, l)); + }; + } + a.createProxy = function(f, l) { + if (typeof f == "string") + s(f, l); + else { + var c = function(g) { + We(f, g) && u[g] === void 0 && o(g, () => f[g]); + }; + for (var h in f) + c(h); + } + }; + var u = { + expression: !0, + docs: !0, + type: !0, + classes: !0, + json: !0, + error: !0, + isChain: !0 + // conflicts with the property isChain of a Chain instance + }; + return a.createProxy(r), e && e("import", function(f, l, c) { + c || o(f, l); + }), a; +}, { + isClass: !0 +}), hb = { + name: "e", + category: "Constants", + syntax: ["e"], + description: "Euler's number, the base of the natural logarithm. Approximately equal to 2.71828", + examples: ["e", "e ^ 2", "exp(2)", "log(e)"], + seealso: ["exp"] +}, p4 = { + name: "false", + category: "Constants", + syntax: ["false"], + description: "Boolean value false", + examples: ["false"], + seealso: ["true"] +}, h4 = { + name: "i", + category: "Constants", + syntax: ["i"], + description: "Imaginary unit, defined as i*i=-1. A complex number is described as a + b*i, where a is the real part, and b is the imaginary part.", + examples: ["i", "i * i", "sqrt(-1)"], + seealso: [] +}, m4 = { + name: "Infinity", + category: "Constants", + syntax: ["Infinity"], + description: "Infinity, a number which is larger than the maximum number that can be handled by a floating point number.", + examples: ["Infinity", "1 / 0"], + seealso: [] +}, d4 = { + name: "LN10", + category: "Constants", + syntax: ["LN10"], + description: "Returns the natural logarithm of 10, approximately equal to 2.302", + examples: ["LN10", "log(10)"], + seealso: [] +}, v4 = { + name: "LN2", + category: "Constants", + syntax: ["LN2"], + description: "Returns the natural logarithm of 2, approximately equal to 0.693", + examples: ["LN2", "log(2)"], + seealso: [] +}, g4 = { + name: "LOG10E", + category: "Constants", + syntax: ["LOG10E"], + description: "Returns the base-10 logarithm of E, approximately equal to 0.434", + examples: ["LOG10E", "log(e, 10)"], + seealso: [] +}, y4 = { + name: "LOG2E", + category: "Constants", + syntax: ["LOG2E"], + description: "Returns the base-2 logarithm of E, approximately equal to 1.442", + examples: ["LOG2E", "log(e, 2)"], + seealso: [] +}, x4 = { + name: "NaN", + category: "Constants", + syntax: ["NaN"], + description: "Not a number", + examples: ["NaN", "0 / 0"], + seealso: [] +}, b4 = { + name: "null", + category: "Constants", + syntax: ["null"], + description: "Value null", + examples: ["null"], + seealso: ["true", "false"] +}, w4 = { + name: "phi", + category: "Constants", + syntax: ["phi"], + description: "Phi is the golden ratio. Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Phi is defined as `(1 + sqrt(5)) / 2` and is approximately 1.618034...", + examples: ["phi"], + seealso: [] +}, mb = { + name: "pi", + category: "Constants", + syntax: ["pi"], + description: "The number pi is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159", + examples: ["pi", "sin(pi/2)"], + seealso: ["tau"] +}, N4 = { + name: "SQRT1_2", + category: "Constants", + syntax: ["SQRT1_2"], + description: "Returns the square root of 1/2, approximately equal to 0.707", + examples: ["SQRT1_2", "sqrt(1/2)"], + seealso: [] +}, D4 = { + name: "SQRT2", + category: "Constants", + syntax: ["SQRT2"], + description: "Returns the square root of 2, approximately equal to 1.414", + examples: ["SQRT2", "sqrt(2)"], + seealso: [] +}, A4 = { + name: "tau", + category: "Constants", + syntax: ["tau"], + description: "Tau is the ratio constant of a circle's circumference to radius, equal to 2 * pi, approximately 6.2832.", + examples: ["tau", "2 * pi"], + seealso: ["pi"] +}, E4 = { + name: "true", + category: "Constants", + syntax: ["true"], + description: "Boolean value true", + examples: ["true"], + seealso: ["false"] +}, S4 = { + name: "version", + category: "Constants", + syntax: ["version"], + description: "A string with the version number of math.js", + examples: ["version"], + seealso: [] +}, C4 = { + name: "bignumber", + category: "Construction", + syntax: ["bignumber(x)"], + description: "Create a big number from a number or string.", + examples: ["0.1 + 0.2", "bignumber(0.1) + bignumber(0.2)", 'bignumber("7.2")', 'bignumber("7.2e500")', "bignumber([0.1, 0.2, 0.3])"], + seealso: ["boolean", "bigint", "complex", "fraction", "index", "matrix", "string", "unit"] +}, T4 = { + name: "bigint", + category: "Construction", + syntax: ["bigint(x)"], + description: "Create a bigint, an integer with an arbitrary number of digits, from a number or string.", + examples: ["123123123123123123 # a large number will lose digits", 'bigint("123123123123123123")', 'bignumber(["1", "3", "5"])'], + seealso: ["boolean", "bignumber", "number", "complex", "fraction", "index", "matrix", "string", "unit"] +}, _4 = { + name: "boolean", + category: "Construction", + syntax: ["x", "boolean(x)"], + description: "Convert a string or number into a boolean.", + examples: ["boolean(0)", "boolean(1)", "boolean(3)", 'boolean("true")', 'boolean("false")', "boolean([1, 0, 1, 1])"], + seealso: ["bignumber", "complex", "index", "matrix", "number", "string", "unit"] +}, M4 = { + name: "complex", + category: "Construction", + syntax: ["complex()", "complex(re, im)", "complex(string)"], + description: "Create a complex number.", + examples: ["complex()", "complex(2, 3)", 'complex("7 - 2i")'], + seealso: ["bignumber", "boolean", "index", "matrix", "number", "string", "unit"] +}, O4 = { + name: "createUnit", + category: "Construction", + syntax: ["createUnit(definitions)", "createUnit(name, definition)"], + description: "Create a user-defined unit and register it with the Unit type.", + examples: ['createUnit("foo")', 'createUnit("knot", {definition: "0.514444444 m/s", aliases: ["knots", "kt", "kts"]})', 'createUnit("mph", "1 mile/hour")'], + seealso: ["unit", "splitUnit"] +}, F4 = { + name: "fraction", + category: "Construction", + syntax: ["fraction(num)", "fraction(matrix)", "fraction(num,den)", "fraction({n: num, d: den})"], + description: "Create a fraction from a number or from integer numerator and denominator.", + examples: ["fraction(0.125)", "fraction(1, 3) + fraction(2, 5)", "fraction({n: 333, d: 53})", "fraction([sqrt(9), sqrt(10), sqrt(11)])"], + seealso: ["bignumber", "boolean", "complex", "index", "matrix", "string", "unit"] +}, q4 = { + name: "index", + category: "Construction", + syntax: ["[start]", "[start:end]", "[start:step:end]", "[start1, start 2, ...]", "[start1:end1, start2:end2, ...]", "[start1:step1:end1, start2:step2:end2, ...]"], + description: "Create an index to get or replace a subset of a matrix", + examples: ["A = [1, 2, 3; 4, 5, 6]", "A[1, :]", "A[1, 2] = 50", "A[1:2, 1:2] = 1", "B = [1, 2, 3]", "B[B>1 and B<3]"], + seealso: ["bignumber", "boolean", "complex", "matrix,", "number", "range", "string", "unit"] +}, I4 = { + name: "matrix", + category: "Construction", + syntax: ["[]", "[a1, b1, ...; a2, b2, ...]", "matrix()", 'matrix("dense")', "matrix([...])"], + description: "Create a matrix.", + examples: ["[]", "[1, 2, 3]", "[1, 2, 3; 4, 5, 6]", "matrix()", "matrix([3, 4])", 'matrix([3, 4; 5, 6], "sparse")', 'matrix([3, 4; 5, 6], "sparse", "number")'], + seealso: ["bignumber", "boolean", "complex", "index", "number", "string", "unit", "sparse"] +}, B4 = { + name: "number", + category: "Construction", + syntax: ["x", "number(x)", "number(unit, valuelessUnit)"], + description: "Create a number or convert a string or boolean into a number.", + examples: ["2", "2e3", "4.05", "number(2)", 'number("7.2")', "number(true)", "number([true, false, true, true])", 'number(unit("52cm"), "m")'], + seealso: ["bignumber", "bigint", "boolean", "complex", "fraction", "index", "matrix", "string", "unit"] +}, R4 = { + name: "sparse", + category: "Construction", + syntax: ["sparse()", "sparse([a1, b1, ...; a1, b2, ...])", 'sparse([a1, b1, ...; a1, b2, ...], "number")'], + description: "Create a sparse matrix.", + examples: ["sparse()", "sparse([3, 4; 5, 6])", 'sparse([3, 0; 5, 0], "number")'], + seealso: ["bignumber", "boolean", "complex", "index", "number", "string", "unit", "matrix"] +}, L4 = { + name: "splitUnit", + category: "Construction", + syntax: ["splitUnit(unit: Unit, parts: Unit[])"], + description: "Split a unit in an array of units whose sum is equal to the original unit.", + examples: ['splitUnit(1 m, ["feet", "inch"])'], + seealso: ["unit", "createUnit"] +}, P4 = { + name: "string", + category: "Construction", + syntax: ['"text"', "string(x)"], + description: "Create a string or convert a value to a string", + examples: ['"Hello World!"', "string(4.2)", "string(3 + 2i)"], + seealso: ["bignumber", "boolean", "complex", "index", "matrix", "number", "unit"] +}, k4 = { + name: "unit", + category: "Construction", + syntax: ["value unit", "unit(value, unit)", "unit(string)"], + description: "Create a unit.", + examples: ["5.5 mm", "3 inch", 'unit(7.1, "kilogram")', 'unit("23 deg")'], + seealso: ["bignumber", "boolean", "complex", "index", "matrix", "number", "string"] +}, $4 = { + name: "config", + category: "Core", + syntax: ["config()", "config(options)"], + description: "Get configuration or change configuration.", + examples: ["config()", "1/3 + 1/4", 'config({number: "Fraction"})', "1/3 + 1/4"], + seealso: [] +}, z4 = { + name: "import", + category: "Core", + syntax: ["import(functions)", "import(functions, options)"], + description: "Import functions or constants from an object.", + examples: ["import({myFn: f(x)=x^2, myConstant: 32 })", "myFn(2)", "myConstant"], + seealso: [] +}, U4 = { + name: "typed", + category: "Core", + syntax: ["typed(signatures)", "typed(name, signatures)"], + description: "Create a typed function.", + examples: ['double = typed({ "number": f(x)=x+x, "string": f(x)=concat(x,x) })', "double(2)", 'double("hello")'], + seealso: [] +}, G4 = { + name: "derivative", + category: "Algebra", + syntax: ["derivative(expr, variable)", "derivative(expr, variable, {simplify: boolean})"], + description: "Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.", + examples: ['derivative("2x^3", "x")', 'derivative("2x^3", "x", {simplify: false})', 'derivative("2x^2 + 3x + 4", "x")', 'derivative("sin(2x)", "x")', 'f = parse("x^2 + x")', 'x = parse("x")', "df = derivative(f, x)", "df.evaluate({x: 3})"], + seealso: ["simplify", "parse", "evaluate"] +}, H4 = { + name: "leafCount", + category: "Algebra", + syntax: ["leafCount(expr)"], + description: "Computes the number of leaves in the parse tree of the given expression", + examples: ['leafCount("e^(i*pi)-1")', 'leafCount(parse("{a: 22/7, b: 10^(1/2)}"))'], + seealso: ["simplify"] +}, Q4 = { + name: "lsolve", + category: "Algebra", + syntax: ["x=lsolve(L, b)"], + description: "Finds one solution of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.", + examples: ["a = [-2, 3; 2, 1]", "b = [11, 9]", "x = lsolve(a, b)"], + seealso: ["lsolveAll", "lup", "lusolve", "usolve", "matrix", "sparse"] +}, V4 = { + name: "lsolveAll", + category: "Algebra", + syntax: ["x=lsolveAll(L, b)"], + description: "Finds all solutions of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.", + examples: ["a = [-2, 3; 2, 1]", "b = [11, 9]", "x = lsolve(a, b)"], + seealso: ["lsolve", "lup", "lusolve", "usolve", "matrix", "sparse"] +}, W4 = { + name: "lup", + category: "Algebra", + syntax: ["lup(m)"], + description: "Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U", + examples: ["lup([[2, 1], [1, 4]])", "lup(matrix([[2, 1], [1, 4]]))", "lup(sparse([[2, 1], [1, 4]]))"], + seealso: ["lusolve", "lsolve", "usolve", "matrix", "sparse", "slu", "qr"] +}, j4 = { + name: "lusolve", + category: "Algebra", + syntax: ["x=lusolve(A, b)", "x=lusolve(lu, b)"], + description: "Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.", + examples: ["a = [-2, 3; 2, 1]", "b = [11, 9]", "x = lusolve(a, b)"], + seealso: ["lup", "slu", "lsolve", "usolve", "matrix", "sparse"] +}, Z4 = { + name: "polynomialRoot", + category: "Algebra", + syntax: ["x=polynomialRoot(-6, 3)", "x=polynomialRoot(4, -4, 1)", "x=polynomialRoot(-8, 12, -6, 1)"], + description: "Finds the roots of a univariate polynomial given by its coefficients starting from constant, linear, and so on, increasing in degree.", + examples: ["a = polynomialRoot(-6, 11, -6, 1)"], + seealso: ["cbrt", "sqrt"] +}, J4 = { + name: "qr", + category: "Algebra", + syntax: ["qr(A)"], + description: "Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.", + examples: ["qr([[1, -1, 4], [1, 4, -2], [1, 4, 2], [1, -1, 0]])"], + seealso: ["lup", "slu", "matrix"] +}, Y4 = { + name: "rationalize", + category: "Algebra", + syntax: ["rationalize(expr)", "rationalize(expr, scope)", "rationalize(expr, scope, detailed)"], + description: "Transform a rationalizable expression in a rational fraction. If rational fraction is one variable polynomial then converts the numerator and denominator in canonical form, with decreasing exponents, returning the coefficients of numerator.", + examples: ['rationalize("2x/y - y/(x+1)")', 'rationalize("2x/y - y/(x+1)", true)'], + seealso: ["simplify"] +}, X4 = { + name: "resolve", + category: "Algebra", + syntax: ["resolve(node, scope)"], + description: "Recursively substitute variables in an expression tree.", + examples: ['resolve(parse("1 + x"), { x: 7 })', 'resolve(parse("size(text)"), { text: "Hello World" })', 'resolve(parse("x + y"), { x: parse("3z") })', 'resolve(parse("3x"), { x: parse("y+z"), z: parse("w^y") })'], + seealso: ["simplify", "evaluate"], + mayThrow: ["ReferenceError"] +}, K4 = { + name: "simplify", + category: "Algebra", + syntax: ["simplify(expr)", "simplify(expr, rules)"], + description: "Simplify an expression tree.", + examples: ['simplify("3 + 2 / 4")', 'simplify("2x + x")', 'f = parse("x * (x + 2 + x)")', "simplified = simplify(f)", "simplified.evaluate({x: 2})"], + seealso: ["simplifyCore", "derivative", "evaluate", "parse", "rationalize", "resolve"] +}, eI = { + name: "simplifyConstant", + category: "Algebra", + syntax: ["simplifyConstant(expr)", "simplifyConstant(expr, options)"], + description: "Replace constant subexpressions of node with their values.", + examples: ['simplifyConstant("(3-3)*x")', 'simplifyConstant(parse("z-cos(tau/8)"))'], + seealso: ["simplify", "simplifyCore", "evaluate"] +}, tI = { + name: "simplifyCore", + category: "Algebra", + syntax: ["simplifyCore(node)"], + description: "Perform simple one-pass simplifications on an expression tree.", + examples: ['simplifyCore(parse("0*x"))', 'simplifyCore(parse("(x+0)*2"))'], + seealso: ["simplify", "simplifyConstant", "evaluate"] +}, rI = { + name: "slu", + category: "Algebra", + syntax: ["slu(A, order, threshold)"], + description: "Calculate the Matrix LU decomposition with full pivoting. Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U", + examples: ["slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)"], + seealso: ["lusolve", "lsolve", "usolve", "matrix", "sparse", "lup", "qr"] +}, nI = { + name: "symbolicEqual", + category: "Algebra", + syntax: ["symbolicEqual(expr1, expr2)", "symbolicEqual(expr1, expr2, options)"], + description: "Returns true if the difference of the expressions simplifies to 0", + examples: ['symbolicEqual("x*y","y*x")', 'symbolicEqual("abs(x^2)", "x^2")', 'symbolicEqual("abs(x)", "x", {context: {abs: {trivial: true}}})'], + seealso: ["simplify", "evaluate"] +}, iI = { + name: "usolve", + category: "Algebra", + syntax: ["x=usolve(U, b)"], + description: "Finds one solution of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.", + examples: ["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"], + seealso: ["usolveAll", "lup", "lusolve", "lsolve", "matrix", "sparse"] +}, aI = { + name: "usolveAll", + category: "Algebra", + syntax: ["x=usolve(U, b)"], + description: "Finds all solutions of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.", + examples: ["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"], + seealso: ["usolve", "lup", "lusolve", "lsolve", "matrix", "sparse"] +}, sI = { + name: "abs", + category: "Arithmetic", + syntax: ["abs(x)"], + description: "Compute the absolute value.", + examples: ["abs(3.5)", "abs(-4.2)"], + seealso: ["sign"] +}, oI = { + name: "add", + category: "Operators", + syntax: ["x + y", "add(x, y)"], + description: "Add two values.", + examples: ["a = 2.1 + 3.6", "a - 3.6", "3 + 2i", "3 cm + 2 inch", '"2.3" + "4"'], + seealso: ["subtract"] +}, uI = { + name: "cbrt", + category: "Arithmetic", + syntax: ["cbrt(x)", "cbrt(x, allRoots)"], + description: "Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned", + examples: ["cbrt(64)", "cube(4)", "cbrt(-8)", "cbrt(2 + 3i)", "cbrt(8i)", "cbrt(8i, true)", "cbrt(27 m^3)"], + seealso: ["square", "sqrt", "cube", "multiply"] +}, lI = { + name: "ceil", + category: "Arithmetic", + syntax: ["ceil(x)"], + description: "Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.", + examples: ["ceil(3.2)", "ceil(3.8)", "ceil(-4.2)"], + seealso: ["floor", "fix", "round"] +}, cI = { + name: "cube", + category: "Arithmetic", + syntax: ["cube(x)"], + description: "Compute the cube of a value. The cube of x is x * x * x.", + examples: ["cube(2)", "2^3", "2 * 2 * 2"], + seealso: ["multiply", "square", "pow"] +}, fI = { + name: "divide", + category: "Operators", + syntax: ["x / y", "divide(x, y)"], + description: "Divide two values.", + examples: ["a = 2 / 3", "a * 3", "4.5 / 2", "3 + 4 / 2", "(3 + 4) / 2", "18 km / 4.5"], + seealso: ["multiply"] +}, pI = { + name: "dotDivide", + category: "Operators", + syntax: ["x ./ y", "dotDivide(x, y)"], + description: "Divide two values element wise.", + examples: ["a = [1, 2, 3; 4, 5, 6]", "b = [2, 1, 1; 3, 2, 5]", "a ./ b"], + seealso: ["multiply", "dotMultiply", "divide"] +}, hI = { + name: "dotMultiply", + category: "Operators", + syntax: ["x .* y", "dotMultiply(x, y)"], + description: "Multiply two values element wise.", + examples: ["a = [1, 2, 3; 4, 5, 6]", "b = [2, 1, 1; 3, 2, 5]", "a .* b"], + seealso: ["multiply", "divide", "dotDivide"] +}, mI = { + name: "dotPow", + category: "Operators", + syntax: ["x .^ y", "dotPow(x, y)"], + description: "Calculates the power of x to y element wise.", + examples: ["a = [1, 2, 3; 4, 5, 6]", "a .^ 2"], + seealso: ["pow"] +}, dI = { + name: "exp", + category: "Arithmetic", + syntax: ["exp(x)"], + description: "Calculate the exponent of a value.", + examples: ["exp(1.3)", "e ^ 1.3", "log(exp(1.3))", "x = 2.4", "(exp(i*x) == cos(x) + i*sin(x)) # Euler's formula"], + seealso: ["expm", "expm1", "pow", "log"] +}, vI = { + name: "expm", + category: "Arithmetic", + syntax: ["exp(x)"], + description: "Compute the matrix exponential, expm(A) = e^A. The matrix must be square. Not to be confused with exp(a), which performs element-wise exponentiation.", + examples: ["expm([[0,2],[0,0]])"], + seealso: ["exp"] +}, gI = { + name: "expm1", + category: "Arithmetic", + syntax: ["expm1(x)"], + description: "Calculate the value of subtracting 1 from the exponential value.", + examples: ["expm1(2)", "pow(e, 2) - 1", "log(expm1(2) + 1)"], + seealso: ["exp", "pow", "log"] +}, yI = { + name: "fix", + category: "Arithmetic", + syntax: ["fix(x)"], + description: "Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.", + examples: ["fix(3.2)", "fix(3.8)", "fix(-4.2)", "fix(-4.8)"], + seealso: ["ceil", "floor", "round"] +}, xI = { + name: "floor", + category: "Arithmetic", + syntax: ["floor(x)"], + description: "Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.", + examples: ["floor(3.2)", "floor(3.8)", "floor(-4.2)"], + seealso: ["ceil", "fix", "round"] +}, bI = { + name: "gcd", + category: "Arithmetic", + syntax: ["gcd(a, b)", "gcd(a, b, c, ...)"], + description: "Compute the greatest common divisor.", + examples: ["gcd(8, 12)", "gcd(-4, 6)", "gcd(25, 15, -10)"], + seealso: ["lcm", "xgcd"] +}, wI = { + name: "hypot", + category: "Arithmetic", + syntax: ["hypot(a, b, c, ...)", "hypot([a, b, c, ...])"], + description: "Calculate the hypotenusa of a list with values. ", + examples: ["hypot(3, 4)", "sqrt(3^2 + 4^2)", "hypot(-2)", "hypot([3, 4, 5])"], + seealso: ["abs", "norm"] +}, NI = { + name: "invmod", + category: "Arithmetic", + syntax: ["invmod(a, b)"], + description: "Calculate the (modular) multiplicative inverse of a modulo b. Solution to the equation ax ≣ 1 (mod b)", + examples: ["invmod(8, 12)", "invmod(7, 13)", "invmod(15151, 15122)"], + seealso: ["gcd", "xgcd"] +}, DI = { + name: "lcm", + category: "Arithmetic", + syntax: ["lcm(x, y)"], + description: "Compute the least common multiple.", + examples: ["lcm(4, 6)", "lcm(6, 21)", "lcm(6, 21, 5)"], + seealso: ["gcd"] +}, AI = { + name: "log", + category: "Arithmetic", + syntax: ["log(x)", "log(x, base)"], + description: "Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).", + examples: ["log(3.5)", "a = log(2.4)", "exp(a)", "10 ^ 4", "log(10000, 10)", "log(10000) / log(10)", "b = log(1024, 2)", "2 ^ b"], + seealso: ["exp", "log1p", "log2", "log10"] +}, EI = { + name: "log10", + category: "Arithmetic", + syntax: ["log10(x)"], + description: "Compute the 10-base logarithm of a value.", + examples: ["log10(0.00001)", "log10(10000)", "10 ^ 4", "log(10000) / log(10)", "log(10000, 10)"], + seealso: ["exp", "log"] +}, SI = { + name: "log1p", + category: "Arithmetic", + syntax: ["log1p(x)", "log1p(x, base)"], + description: "Calculate the logarithm of a `value+1`", + examples: ["log1p(2.5)", "exp(log1p(1.4))", "pow(10, 4)", "log1p(9999, 10)", "log1p(9999) / log(10)"], + seealso: ["exp", "log", "log2", "log10"] +}, CI = { + name: "log2", + category: "Arithmetic", + syntax: ["log2(x)"], + description: "Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.", + examples: ["log2(0.03125)", "log2(16)", "log2(16) / log2(2)", "pow(2, 4)"], + seealso: ["exp", "log1p", "log", "log10"] +}, TI = { + name: "mod", + category: "Operators", + syntax: ["x % y", "x mod y", "mod(x, y)"], + description: "Calculates the modulus, the remainder of an integer division.", + examples: ["7 % 3", "11 % 2", "10 mod 4", "isOdd(x) = x % 2", "isOdd(2)", "isOdd(3)"], + seealso: ["divide"] +}, _I = { + name: "multiply", + category: "Operators", + syntax: ["x * y", "multiply(x, y)"], + description: "multiply two values.", + examples: ["a = 2.1 * 3.4", "a / 3.4", "2 * 3 + 4", "2 * (3 + 4)", "3 * 2.1 km"], + seealso: ["divide"] +}, MI = { + name: "norm", + category: "Arithmetic", + syntax: ["norm(x)", "norm(x, p)"], + description: "Calculate the norm of a number, vector or matrix.", + examples: ["abs(-3.5)", "norm(-3.5)", "norm(3 - 4i)", "norm([1, 2, -3], Infinity)", "norm([1, 2, -3], -Infinity)", "norm([3, 4], 2)", "norm([[1, 2], [3, 4]], 1)", 'norm([[1, 2], [3, 4]], "inf")', 'norm([[1, 2], [3, 4]], "fro")'] +}, OI = { + name: "nthRoot", + category: "Arithmetic", + syntax: ["nthRoot(a)", "nthRoot(a, root)"], + description: 'Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation "x^root = A".', + examples: ["4 ^ 3", "nthRoot(64, 3)", "nthRoot(9, 2)", "sqrt(9)"], + seealso: ["nthRoots", "pow", "sqrt"] +}, FI = { + name: "nthRoots", + category: "Arithmetic", + syntax: ["nthRoots(A)", "nthRoots(A, root)"], + description: 'Calculate the nth roots of a value. An nth root of a positive real number A, is a positive real solution of the equation "x^root = A". This function returns an array of complex values.', + examples: ["nthRoots(1)", "nthRoots(1, 3)"], + seealso: ["sqrt", "pow", "nthRoot"] +}, qI = { + name: "pow", + category: "Operators", + syntax: ["x ^ y", "pow(x, y)"], + description: "Calculates the power of x to y, x^y.", + examples: ["2^3", "2*2*2", "1 + e ^ (pi * i)", "pow([[1, 2], [4, 3]], 2)", "pow([[1, 2], [4, 3]], -1)"], + seealso: ["multiply", "nthRoot", "nthRoots", "sqrt"] +}, II = { + name: "round", + category: "Arithmetic", + syntax: ["round(x)", "round(x, n)", "round(unit, valuelessUnit)", "round(unit, n, valuelessUnit)"], + description: "round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.", + examples: ["round(3.2)", "round(3.8)", "round(-4.2)", "round(-4.8)", "round(pi, 3)", "round(123.45678, 2)", "round(3.241cm, 2, cm)", "round([3.2, 3.8, -4.7])"], + seealso: ["ceil", "floor", "fix"] +}, BI = { + name: "sign", + category: "Arithmetic", + syntax: ["sign(x)"], + description: "Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.", + examples: ["sign(3.5)", "sign(-4.2)", "sign(0)"], + seealso: ["abs"] +}, RI = { + name: "sqrt", + category: "Arithmetic", + syntax: ["sqrt(x)"], + description: "Compute the square root value. If x = y * y, then y is the square root of x.", + examples: ["sqrt(25)", "5 * 5", "sqrt(-1)"], + seealso: ["square", "sqrtm", "multiply", "nthRoot", "nthRoots", "pow"] +}, LI = { + name: "sqrtm", + category: "Arithmetic", + syntax: ["sqrtm(x)"], + description: "Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.", + examples: ["sqrtm([[33, 24], [48, 57]])"], + seealso: ["sqrt", "abs", "square", "multiply"] +}, PI = { + name: "sylvester", + category: "Algebra", + syntax: ["sylvester(A,B,C)"], + description: "Solves the real-valued Sylvester equation AX+XB=C for X", + examples: ["sylvester([[-1, -2], [1, 1]], [[-2, 1], [-1, 2]], [[-3, 2], [3, 0]])", "A = [[-1, -2], [1, 1]]; B = [[2, -1], [1, -2]]; C = [[-3, 2], [3, 0]]", "sylvester(A, B, C)"], + seealso: ["schur", "lyap"] +}, kI = { + name: "schur", + category: "Algebra", + syntax: ["schur(A)"], + description: "Performs a real Schur decomposition of the real matrix A = UTU'", + examples: ["schur([[1, 0], [-4, 3]])", "A = [[1, 0], [-4, 3]]", "schur(A)"], + seealso: ["lyap", "sylvester"] +}, $I = { + name: "lyap", + category: "Algebra", + syntax: ["lyap(A,Q)"], + description: "Solves the Continuous-time Lyapunov equation AP+PA'+Q=0 for P", + examples: ["lyap([[-2, 0], [1, -4]], [[3, 1], [1, 3]])", "A = [[-2, 0], [1, -4]]", "Q = [[3, 1], [1, 3]]", "lyap(A,Q)"], + seealso: ["schur", "sylvester"] +}, zI = { + name: "square", + category: "Arithmetic", + syntax: ["square(x)"], + description: "Compute the square of a value. The square of x is x * x.", + examples: ["square(3)", "sqrt(9)", "3^2", "3 * 3"], + seealso: ["multiply", "pow", "sqrt", "cube"] +}, UI = { + name: "subtract", + category: "Operators", + syntax: ["x - y", "subtract(x, y)"], + description: "subtract two values.", + examples: ["a = 5.3 - 2", "a + 2", "2/3 - 1/6", "2 * 3 - 3", "2.1 km - 500m"], + seealso: ["add"] +}, GI = { + name: "unaryMinus", + category: "Operators", + syntax: ["-x", "unaryMinus(x)"], + description: "Inverse the sign of a value. Converts booleans and strings to numbers.", + examples: ["-4.5", "-(-5.6)", '-"22"'], + seealso: ["add", "subtract", "unaryPlus"] +}, HI = { + name: "unaryPlus", + category: "Operators", + syntax: ["+x", "unaryPlus(x)"], + description: "Converts booleans and strings to numbers.", + examples: ["+true", '+"2"'], + seealso: ["add", "subtract", "unaryMinus"] +}, QI = { + name: "xgcd", + category: "Arithmetic", + syntax: ["xgcd(a, b)"], + description: "Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.", + examples: ["xgcd(8, 12)", "gcd(8, 12)", "xgcd(36163, 21199)"], + seealso: ["gcd", "lcm"] +}, VI = { + name: "bitAnd", + category: "Bitwise", + syntax: ["x & y", "bitAnd(x, y)"], + description: "Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0", + examples: ["5 & 3", "bitAnd(53, 131)", "[1, 12, 31] & 42"], + seealso: ["bitNot", "bitOr", "bitXor", "leftShift", "rightArithShift", "rightLogShift"] +}, WI = { + name: "bitNot", + category: "Bitwise", + syntax: ["~x", "bitNot(x)"], + description: "Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.", + examples: ["~1", "~2", "bitNot([2, -3, 4])"], + seealso: ["bitAnd", "bitOr", "bitXor", "leftShift", "rightArithShift", "rightLogShift"] +}, jI = { + name: "bitOr", + category: "Bitwise", + syntax: ["x | y", "bitOr(x, y)"], + description: "Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.", + examples: ["5 | 3", "bitOr([1, 2, 3], 4)"], + seealso: ["bitAnd", "bitNot", "bitXor", "leftShift", "rightArithShift", "rightLogShift"] +}, ZI = { + name: "bitXor", + category: "Bitwise", + syntax: ["bitXor(x, y)"], + description: "Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.", + examples: ["bitOr(1, 2)", "bitXor([2, 3, 4], 4)"], + seealso: ["bitAnd", "bitNot", "bitOr", "leftShift", "rightArithShift", "rightLogShift"] +}, JI = { + name: "leftShift", + category: "Bitwise", + syntax: ["x << y", "leftShift(x, y)"], + description: "Bitwise left logical shift of a value x by y number of bits.", + examples: ["4 << 1", "8 >> 1"], + seealso: ["bitAnd", "bitNot", "bitOr", "bitXor", "rightArithShift", "rightLogShift"] +}, YI = { + name: "rightArithShift", + category: "Bitwise", + syntax: ["x >> y", "rightArithShift(x, y)"], + description: "Bitwise right arithmetic shift of a value x by y number of bits.", + examples: ["8 >> 1", "4 << 1", "-12 >> 2"], + seealso: ["bitAnd", "bitNot", "bitOr", "bitXor", "leftShift", "rightLogShift"] +}, XI = { + name: "rightLogShift", + category: "Bitwise", + syntax: ["x >>> y", "rightLogShift(x, y)"], + description: "Bitwise right logical shift of a value x by y number of bits.", + examples: ["8 >>> 1", "4 << 1", "-12 >>> 2"], + seealso: ["bitAnd", "bitNot", "bitOr", "bitXor", "leftShift", "rightArithShift"] +}, KI = { + name: "bellNumbers", + category: "Combinatorics", + syntax: ["bellNumbers(n)"], + description: "The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.", + examples: ["bellNumbers(3)", "bellNumbers(8)"], + seealso: ["stirlingS2"] +}, e5 = { + name: "catalan", + category: "Combinatorics", + syntax: ["catalan(n)"], + description: "The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.", + examples: ["catalan(3)", "catalan(8)"], + seealso: ["bellNumbers"] +}, t5 = { + name: "composition", + category: "Combinatorics", + syntax: ["composition(n, k)"], + description: "The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.", + examples: ["composition(5, 3)"], + seealso: ["combinations"] +}, r5 = { + name: "stirlingS2", + category: "Combinatorics", + syntax: ["stirlingS2(n, k)"], + description: "he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.", + examples: ["stirlingS2(5, 3)"], + seealso: ["bellNumbers"] +}, n5 = { + name: "arg", + category: "Complex", + syntax: ["arg(x)"], + description: "Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).", + examples: ["arg(2 + 2i)", "atan2(3, 2)", "arg(2 + 3i)"], + seealso: ["re", "im", "conj", "abs"] +}, i5 = { + name: "conj", + category: "Complex", + syntax: ["conj(x)"], + description: "Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.", + examples: ["conj(2 + 3i)", "conj(2 - 3i)", "conj(-5.2i)"], + seealso: ["re", "im", "abs", "arg"] +}, a5 = { + name: "im", + category: "Complex", + syntax: ["im(x)"], + description: "Get the imaginary part of a complex number.", + examples: ["im(2 + 3i)", "re(2 + 3i)", "im(-5.2i)", "im(2.4)"], + seealso: ["re", "conj", "abs", "arg"] +}, s5 = { + name: "re", + category: "Complex", + syntax: ["re(x)"], + description: "Get the real part of a complex number.", + examples: ["re(2 + 3i)", "im(2 + 3i)", "re(-5.2i)", "re(2.4)"], + seealso: ["im", "conj", "abs", "arg"] +}, o5 = { + name: "evaluate", + category: "Expression", + syntax: ["evaluate(expression)", "evaluate(expression, scope)", "evaluate([expr1, expr2, expr3, ...])", "evaluate([expr1, expr2, expr3, ...], scope)"], + description: "Evaluate an expression or an array with expressions.", + examples: ['evaluate("2 + 3")', 'evaluate("sqrt(16)")', 'evaluate("2 inch to cm")', 'evaluate("sin(x * pi)", { "x": 1/2 })', 'evaluate(["width=2", "height=4","width*height"])'], + seealso: [] +}, u5 = { + name: "help", + category: "Expression", + syntax: ["help(object)", "help(string)"], + description: "Display documentation on a function or data type.", + examples: ["help(sqrt)", 'help("complex")'], + seealso: [] +}, l5 = { + name: "distance", + category: "Geometry", + syntax: ["distance([x1, y1], [x2, y2])", "distance([[x1, y1], [x2, y2]])"], + description: "Calculates the Euclidean distance between two points.", + examples: ["distance([0,0], [4,4])", "distance([[0,0], [4,4]])"], + seealso: [] +}, c5 = { + name: "intersect", + category: "Geometry", + syntax: ["intersect(expr1, expr2, expr3, expr4)", "intersect(expr1, expr2, expr3)"], + description: "Computes the intersection point of lines and/or planes.", + examples: ["intersect([0, 0], [10, 10], [10, 0], [0, 10])", "intersect([1, 0, 1], [4, -2, 2], [1, 1, 1, 6])"], + seealso: [] +}, f5 = { + name: "and", + category: "Logical", + syntax: ["x and y", "and(x, y)"], + description: "Logical and. Test whether two values are both defined with a nonzero/nonempty value.", + examples: ["true and false", "true and true", "2 and 4"], + seealso: ["not", "or", "xor"] +}, p5 = { + name: "not", + category: "Logical", + syntax: ["not x", "not(x)"], + description: "Logical not. Flips the boolean value of given argument.", + examples: ["not true", "not false", "not 2", "not 0"], + seealso: ["and", "or", "xor"] +}, h5 = { + name: "or", + category: "Logical", + syntax: ["x or y", "or(x, y)"], + description: "Logical or. Test if at least one value is defined with a nonzero/nonempty value.", + examples: ["true or false", "false or false", "0 or 4"], + seealso: ["not", "and", "xor"] +}, m5 = { + name: "xor", + category: "Logical", + syntax: ["x xor y", "xor(x, y)"], + description: "Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.", + examples: ["true xor false", "false xor false", "true xor true", "0 xor 4"], + seealso: ["not", "and", "or"] +}, d5 = { + name: "column", + category: "Matrix", + syntax: ["column(x, index)"], + description: "Return a column from a matrix or array.", + examples: ["A = [[1, 2], [3, 4]]", "column(A, 1)", "column(A, 2)"], + seealso: ["row", "matrixFromColumns"] +}, v5 = { + name: "concat", + category: "Matrix", + syntax: ["concat(A, B, C, ...)", "concat(A, B, C, ..., dim)"], + description: "Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.", + examples: ["A = [1, 2; 5, 6]", "B = [3, 4; 7, 8]", "concat(A, B)", "concat(A, B, 1)", "concat(A, B, 2)"], + seealso: ["det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] +}, g5 = { + name: "count", + category: "Matrix", + syntax: ["count(x)"], + description: "Count the number of elements of a matrix, array or string.", + examples: ["a = [1, 2; 3, 4; 5, 6]", "count(a)", "size(a)", 'count("hello world")'], + seealso: ["size"] +}, y5 = { + name: "cross", + category: "Matrix", + syntax: ["cross(A, B)"], + description: "Calculate the cross product for two vectors in three dimensional space.", + examples: ["cross([1, 1, 0], [0, 1, 1])", "cross([3, -3, 1], [4, 9, 2])", "cross([2, 3, 4], [5, 6, 7])"], + seealso: ["multiply", "dot"] +}, x5 = { + name: "ctranspose", + category: "Matrix", + syntax: ["x'", "ctranspose(x)"], + description: "Complex Conjugate and Transpose a matrix", + examples: ["a = [1, 2, 3; 4, 5, 6]", "a'", "ctranspose(a)"], + seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "zeros"] +}, b5 = { + name: "det", + category: "Matrix", + syntax: ["det(x)"], + description: "Calculate the determinant of a matrix", + examples: ["det([1, 2; 3, 4])", "det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"], + seealso: ["concat", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] +}, w5 = { + name: "diag", + category: "Matrix", + syntax: ["diag(x)", "diag(x, k)"], + description: "Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.", + examples: ["diag(1:3)", "diag(1:3, 1)", "a = [1, 2, 3; 4, 5, 6; 7, 8, 9]", "diag(a)"], + seealso: ["concat", "det", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] +}, N5 = { + name: "diff", + category: "Matrix", + syntax: ["diff(arr)", "diff(arr, dim)"], + description: ["Create a new matrix or array with the difference of the passed matrix or array.", "Dim parameter is optional and used to indicant the dimension of the array/matrix to apply the difference", "If no dimension parameter is passed it is assumed as dimension 0", "Dimension is zero-based in javascript and one-based in the parser", "Arrays must be 'rectangular' meaning arrays like [1, 2]", "If something is passed as a matrix it will be returned as a matrix but other than that all matrices are converted to arrays"], + examples: ["A = [1, 2, 4, 7, 0]", "diff(A)", "diff(A, 1)", "B = [[1, 2], [3, 4]]", "diff(B)", "diff(B, 1)", "diff(B, 2)", "diff(B, bignumber(2))", "diff([[1, 2], matrix([3, 4])], 2)"], + seealso: ["subtract", "partitionSelect"] +}, D5 = { + name: "dot", + category: "Matrix", + syntax: ["dot(A, B)", "A * B"], + description: "Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn", + examples: ["dot([2, 4, 1], [2, 2, 3])", "[2, 4, 1] * [2, 2, 3]"], + seealso: ["multiply", "cross"] +}, A5 = { + name: "eigs", + category: "Matrix", + syntax: ["eigs(x)"], + description: "Calculate the eigenvalues and optionally eigenvectors of a square matrix", + examples: ["eigs([[5, 2.3], [2.3, 1]])", "eigs([[1, 2, 3], [4, 5, 6], [7, 8, 9]], { precision: 1e-6, eigenvectors: false })"], + seealso: ["inv"] +}, E5 = { + name: "filter", + category: "Matrix", + syntax: ["filter(x, test)"], + description: "Filter items in a matrix.", + examples: ["isPositive(x) = x > 0", "filter([6, -2, -1, 4, 3], isPositive)", "filter([6, -2, 0, 1, 0], x != 0)"], + seealso: ["sort", "map", "forEach"] +}, S5 = { + name: "flatten", + category: "Matrix", + syntax: ["flatten(x)"], + description: "Flatten a multi dimensional matrix into a single dimensional matrix.", + examples: ["a = [1, 2, 3; 4, 5, 6]", "size(a)", "b = flatten(a)", "size(b)"], + seealso: ["concat", "resize", "size", "squeeze"] +}, C5 = { + name: "forEach", + category: "Matrix", + syntax: ["forEach(x, callback)"], + description: "Iterates over all elements of a matrix/array, and executes the given callback function.", + examples: ["numberOfPets = {}", "addPet(n) = numberOfPets[n] = (numberOfPets[n] ? numberOfPets[n]:0 ) + 1;", 'forEach(["Dog","Cat","Cat"], addPet)', "numberOfPets"], + seealso: ["map", "sort", "filter"] +}, T5 = { + name: "getMatrixDataType", + category: "Matrix", + syntax: ["getMatrixDataType(x)"], + description: 'Find the data type of all elements in a matrix or array, for example "number" if all items are a number and "Complex" if all values are complex numbers. If a matrix contains more than one data type, it will return "mixed".', + examples: ["getMatrixDataType([1, 2, 3])", "getMatrixDataType([[5 cm], [2 inch]])", 'getMatrixDataType([1, "text"])', "getMatrixDataType([1, bignumber(4)])"], + seealso: ["matrix", "sparse", "typeOf"] +}, _5 = { + name: "identity", + category: "Matrix", + syntax: ["identity(n)", "identity(m, n)", "identity([m, n])"], + description: "Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.", + examples: ["identity(3)", "identity(3, 5)", "a = [1, 2, 3; 4, 5, 6]", "identity(size(a))"], + seealso: ["concat", "det", "diag", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] +}, M5 = { + name: "inv", + category: "Matrix", + syntax: ["inv(x)"], + description: "Calculate the inverse of a matrix", + examples: ["inv([1, 2; 3, 4])", "inv(4)", "1 / 4"], + seealso: ["concat", "det", "diag", "identity", "ones", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] +}, O5 = { + name: "pinv", + category: "Matrix", + syntax: ["pinv(x)"], + description: "Calculate the Moore–Penrose inverse of a matrix", + examples: ["pinv([1, 2; 3, 4])", "pinv([[1, 0], [0, 1], [0, 1]])", "pinv(4)"], + seealso: ["inv"] +}, F5 = { + name: "kron", + category: "Matrix", + syntax: ["kron(x, y)"], + description: "Calculates the kronecker product of 2 matrices or vectors.", + examples: ["kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])", "kron([1,1], [2,3,4])"], + seealso: ["multiply", "dot", "cross"] +}, q5 = { + name: "map", + category: "Matrix", + syntax: ["map(x, callback)"], + description: "Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.", + examples: ["map([1, 2, 3], square)"], + seealso: ["filter", "forEach"] +}, I5 = { + name: "matrixFromColumns", + category: "Matrix", + syntax: ["matrixFromColumns(...arr)", "matrixFromColumns(row1, row2)", "matrixFromColumns(row1, row2, row3)"], + description: "Create a dense matrix from vectors as individual columns.", + examples: ["matrixFromColumns([1, 2, 3], [[4],[5],[6]])"], + seealso: ["matrix", "matrixFromRows", "matrixFromFunction", "zeros"] +}, B5 = { + name: "matrixFromFunction", + category: "Matrix", + syntax: ["matrixFromFunction(size, fn)", "matrixFromFunction(size, fn, format)", "matrixFromFunction(size, fn, format, datatype)", "matrixFromFunction(size, format, fn)", "matrixFromFunction(size, format, datatype, fn)"], + description: "Create a matrix by evaluating a generating function at each index.", + examples: ["f(I) = I[1] - I[2]", "matrixFromFunction([3,3], f)", "g(I) = I[1] - I[2] == 1 ? 4 : 0", 'matrixFromFunction([100, 100], "sparse", g)', "matrixFromFunction([5], random)"], + seealso: ["matrix", "matrixFromRows", "matrixFromColumns", "zeros"] +}, R5 = { + name: "matrixFromRows", + category: "Matrix", + syntax: ["matrixFromRows(...arr)", "matrixFromRows(row1, row2)", "matrixFromRows(row1, row2, row3)"], + description: "Create a dense matrix from vectors as individual rows.", + examples: ["matrixFromRows([1, 2, 3], [[4],[5],[6]])"], + seealso: ["matrix", "matrixFromColumns", "matrixFromFunction", "zeros"] +}, L5 = { + name: "ones", + category: "Matrix", + syntax: ["ones(m)", "ones(m, n)", "ones(m, n, p, ...)", "ones([m])", "ones([m, n])", "ones([m, n, p, ...])"], + description: "Create a matrix containing ones.", + examples: ["ones(3)", "ones(3, 5)", "ones([2,3]) * 4.5", "a = [1, 2, 3; 4, 5, 6]", "ones(size(a))"], + seealso: ["concat", "det", "diag", "identity", "inv", "range", "size", "squeeze", "subset", "trace", "transpose", "zeros"] +}, P5 = { + name: "partitionSelect", + category: "Matrix", + syntax: ["partitionSelect(x, k)", "partitionSelect(x, k, compare)"], + description: "Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.", + examples: ["partitionSelect([5, 10, 1], 2)", 'partitionSelect(["C", "B", "A", "D"], 1, compareText)', "arr = [5, 2, 1]", "partitionSelect(arr, 0) # returns 1, arr is now: [1, 2, 5]", "arr", "partitionSelect(arr, 1, 'desc') # returns 2, arr is now: [5, 2, 1]", "arr"], + seealso: ["sort"] +}, k5 = { + name: "range", + category: "Type", + syntax: ["start:end", "start:step:end", "range(start, end)", "range(start, end, step)", "range(string)"], + description: "Create a range. Lower bound of the range is included, upper bound is excluded.", + examples: ["1:5", "3:-1:-3", "range(3, 7)", "range(0, 12, 2)", 'range("4:10")', "range(1m, 1m, 3m)", "a = [1, 2, 3, 4; 5, 6, 7, 8]", "a[1:2, 1:2]"], + seealso: ["concat", "det", "diag", "identity", "inv", "ones", "size", "squeeze", "subset", "trace", "transpose", "zeros"] +}, $5 = { + name: "reshape", + category: "Matrix", + syntax: ["reshape(x, sizes)"], + description: "Reshape a multi dimensional array to fit the specified dimensions.", + examples: ["reshape([1, 2, 3, 4, 5, 6], [2, 3])", "reshape([[1, 2], [3, 4]], [1, 4])", "reshape([[1, 2], [3, 4]], [4])", "reshape([1, 2, 3, 4], [-1, 2])"], + seealso: ["size", "squeeze", "resize"] +}, z5 = { + name: "resize", + category: "Matrix", + syntax: ["resize(x, size)", "resize(x, size, defaultValue)"], + description: "Resize a matrix.", + examples: ["resize([1,2,3,4,5], [3])", "resize([1,2,3], [5])", "resize([1,2,3], [5], -1)", "resize(2, [2, 3])", 'resize("hello", [8], "!")'], + seealso: ["size", "subset", "squeeze", "reshape"] +}, U5 = { + name: "rotate", + category: "Matrix", + syntax: ["rotate(w, theta)", "rotate(w, theta, v)"], + description: "Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.", + examples: ["rotate([1, 0], pi / 2)", 'rotate(matrix([1, 0]), unit("35deg"))', 'rotate([1, 0, 0], unit("90deg"), [0, 0, 1])', 'rotate(matrix([1, 0, 0]), unit("90deg"), matrix([0, 0, 1]))'], + seealso: ["matrix", "rotationMatrix"] +}, G5 = { + name: "rotationMatrix", + category: "Matrix", + syntax: ["rotationMatrix(theta)", "rotationMatrix(theta, v)", "rotationMatrix(theta, v, format)"], + description: "Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.", + examples: ["rotationMatrix(pi / 2)", 'rotationMatrix(unit("45deg"), [0, 0, 1])', 'rotationMatrix(1, matrix([0, 0, 1]), "sparse")'], + seealso: ["cos", "sin"] +}, H5 = { + name: "row", + category: "Matrix", + syntax: ["row(x, index)"], + description: "Return a row from a matrix or array.", + examples: ["A = [[1, 2], [3, 4]]", "row(A, 1)", "row(A, 2)"], + seealso: ["column", "matrixFromRows"] +}, Q5 = { + name: "size", + category: "Matrix", + syntax: ["size(x)"], + description: "Calculate the size of a matrix.", + examples: ["size(2.3)", 'size("hello world")', "a = [1, 2; 3, 4; 5, 6]", "size(a)", "size(1:6)"], + seealso: ["concat", "count", "det", "diag", "identity", "inv", "ones", "range", "squeeze", "subset", "trace", "transpose", "zeros"] +}, V5 = { + name: "sort", + category: "Matrix", + syntax: ["sort(x)", "sort(x, compare)"], + description: 'Sort the items in a matrix. Compare can be a string "asc", "desc", "natural", or a custom sort function.', + examples: ["sort([5, 10, 1])", 'sort(["C", "B", "A", "D"], "natural")', "sortByLength(a, b) = size(a)[1] - size(b)[1]", 'sort(["Langdon", "Tom", "Sara"], sortByLength)', 'sort(["10", "1", "2"], "natural")'], + seealso: ["map", "filter", "forEach"] +}, W5 = { + name: "squeeze", + category: "Matrix", + syntax: ["squeeze(x)"], + description: "Remove inner and outer singleton dimensions from a matrix.", + examples: ["a = zeros(3,2,1)", "size(squeeze(a))", "b = zeros(1,1,3)", "size(squeeze(b))"], + seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "subset", "trace", "transpose", "zeros"] +}, j5 = { + name: "subset", + category: "Matrix", + syntax: ["value(index)", "value(index) = replacement", "subset(value, [index])", "subset(value, [index], replacement)"], + description: "Get or set a subset of the entries of a matrix or characters of a string. Indexes are one-based. There should be one index specification for each dimension of the target. Each specification can be a single index, a list of indices, or a range in colon notation `l:u`. In a range, both the lower bound l and upper bound u are included; and if a bound is omitted it defaults to the most extreme valid value. The cartesian product of the indices specified in each dimension determines the target of the operation.", + examples: ["d = [1, 2; 3, 4]", "e = []", "e[1, 1:2] = [5, 6]", "e[2, :] = [7, 8]", "f = d * e", "f[2, 1]", "f[:, 1]", "f[[1,2], [1,3]] = [9, 10; 11, 12]", "f"], + seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "trace", "transpose", "zeros"] +}, Z5 = { + name: "trace", + category: "Matrix", + syntax: ["trace(A)"], + description: "Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.", + examples: ["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]", "trace(A)"], + seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "transpose", "zeros"] +}, J5 = { + name: "transpose", + category: "Matrix", + syntax: ["x'", "transpose(x)"], + description: "Transpose a matrix", + examples: ["a = [1, 2, 3; 4, 5, 6]", "a'", "transpose(a)"], + seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "zeros"] +}, Y5 = { + name: "zeros", + category: "Matrix", + syntax: ["zeros(m)", "zeros(m, n)", "zeros(m, n, p, ...)", "zeros([m])", "zeros([m, n])", "zeros([m, n, p, ...])"], + description: "Create a matrix containing zeros.", + examples: ["zeros(3)", "zeros(3, 5)", "a = [1, 2, 3; 4, 5, 6]", "zeros(size(a))"], + seealso: ["concat", "det", "diag", "identity", "inv", "ones", "range", "size", "squeeze", "subset", "trace", "transpose"] +}, X5 = { + name: "fft", + category: "Matrix", + syntax: ["fft(x)"], + description: "Calculate N-dimensional fourier transform", + examples: ["fft([[1, 0], [1, 0]])"], + seealso: ["ifft"] +}, K5 = { + name: "ifft", + category: "Matrix", + syntax: ["ifft(x)"], + description: "Calculate N-dimensional inverse fourier transform", + examples: ["ifft([[2, 2], [0, 0]])"], + seealso: ["fft"] +}, eB = { + name: "combinations", + category: "Probability", + syntax: ["combinations(n, k)"], + description: "Compute the number of combinations of n items taken k at a time", + examples: ["combinations(7, 5)"], + seealso: ["combinationsWithRep", "permutations", "factorial"] +}, tB = { + name: "combinationsWithRep", + category: "Probability", + syntax: ["combinationsWithRep(n, k)"], + description: "Compute the number of combinations of n items taken k at a time with replacements.", + examples: ["combinationsWithRep(7, 5)"], + seealso: ["combinations", "permutations", "factorial"] +}, rB = { + name: "factorial", + category: "Probability", + syntax: ["n!", "factorial(n)"], + description: "Compute the factorial of a value", + examples: ["5!", "5 * 4 * 3 * 2 * 1", "3!"], + seealso: ["combinations", "combinationsWithRep", "permutations", "gamma"] +}, nB = { + name: "gamma", + category: "Probability", + syntax: ["gamma(n)"], + description: "Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.", + examples: ["gamma(4)", "3!", "gamma(1/2)", "sqrt(pi)"], + seealso: ["factorial"] +}, iB = { + name: "lgamma", + category: "Probability", + syntax: ["lgamma(n)"], + description: "Logarithm of the gamma function for real, positive numbers and complex numbers, using Lanczos approximation for numbers and Stirling series for complex numbers.", + examples: ["lgamma(4)", "lgamma(1/2)", "lgamma(i)", "lgamma(complex(1.1, 2))"], + seealso: ["gamma"] +}, aB = { + name: "kldivergence", + category: "Probability", + syntax: ["kldivergence(x, y)"], + description: "Calculate the Kullback-Leibler (KL) divergence between two distributions.", + examples: ["kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"], + seealso: [] +}, sB = { + name: "multinomial", + category: "Probability", + syntax: ["multinomial(A)"], + description: "Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai > 0.", + examples: ["multinomial([1, 2, 1])"], + seealso: ["combinations", "factorial"] +}, oB = { + name: "permutations", + category: "Probability", + syntax: ["permutations(n)", "permutations(n, k)"], + description: "Compute the number of permutations of n items taken k at a time", + examples: ["permutations(5)", "permutations(5, 3)"], + seealso: ["combinations", "combinationsWithRep", "factorial"] +}, uB = { + name: "pickRandom", + category: "Probability", + syntax: ["pickRandom(array)", "pickRandom(array, number)", "pickRandom(array, weights)", "pickRandom(array, number, weights)", "pickRandom(array, weights, number)"], + description: "Pick a random entry from a given array.", + examples: ["pickRandom(0:10)", "pickRandom([1, 3, 1, 6])", "pickRandom([1, 3, 1, 6], 2)", "pickRandom([1, 3, 1, 6], [2, 3, 2, 1])", "pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])", "pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)"], + seealso: ["random", "randomInt"] +}, lB = { + name: "random", + category: "Probability", + syntax: ["random()", "random(max)", "random(min, max)", "random(size)", "random(size, max)", "random(size, min, max)"], + description: "Return a random number.", + examples: ["random()", "random(10, 20)", "random([2, 3])"], + seealso: ["pickRandom", "randomInt"] +}, cB = { + name: "randomInt", + category: "Probability", + syntax: ["randomInt(max)", "randomInt(min, max)", "randomInt(size)", "randomInt(size, max)", "randomInt(size, min, max)"], + description: "Return a random integer number", + examples: ["randomInt(10, 20)", "randomInt([2, 3], 10)"], + seealso: ["pickRandom", "random"] +}, fB = { + name: "compare", + category: "Relational", + syntax: ["compare(x, y)"], + description: "Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.", + examples: ["compare(2, 3)", "compare(3, 2)", "compare(2, 2)", "compare(5cm, 40mm)", "compare(2, [1, 2, 3])"], + seealso: ["equal", "unequal", "smaller", "smallerEq", "largerEq", "compareNatural", "compareText"] +}, pB = { + name: "compareNatural", + category: "Relational", + syntax: ["compareNatural(x, y)"], + description: "Compare two values of any type in a deterministic, natural way. Returns 1 when x > y, -1 when x < y, and 0 when x == y.", + examples: ["compareNatural(2, 3)", "compareNatural(3, 2)", "compareNatural(2, 2)", "compareNatural(5cm, 40mm)", 'compareNatural("2", "10")', "compareNatural(2 + 3i, 2 + 4i)", "compareNatural([1, 2, 4], [1, 2, 3])", "compareNatural([1, 5], [1, 2, 3])", "compareNatural([1, 2], [1, 2])", "compareNatural({a: 2}, {a: 4})"], + seealso: ["equal", "unequal", "smaller", "smallerEq", "largerEq", "compare", "compareText"] +}, hB = { + name: "compareText", + category: "Relational", + syntax: ["compareText(x, y)"], + description: "Compare two strings lexically. Comparison is case sensitive. Returns 1 when x > y, -1 when x < y, and 0 when x == y.", + examples: ['compareText("B", "A")', 'compareText("A", "B")', 'compareText("A", "A")', 'compareText("2", "10")', 'compare("2", "10")', "compare(2, 10)", 'compareNatural("2", "10")', 'compareText("B", ["A", "B", "C"])'], + seealso: ["compare", "compareNatural"] +}, mB = { + name: "deepEqual", + category: "Relational", + syntax: ["deepEqual(x, y)"], + description: "Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.", + examples: ["deepEqual([1,3,4], [1,3,4])", "deepEqual([1,3,4], [1,3])"], + seealso: ["equal", "unequal", "smaller", "larger", "smallerEq", "largerEq", "compare"] +}, dB = { + name: "equal", + category: "Relational", + syntax: ["x == y", "equal(x, y)"], + description: "Check equality of two values. Returns true if the values are equal, and false if not.", + examples: ["2+2 == 3", "2+2 == 4", "a = 3.2", "b = 6-2.8", "a == b", "50cm == 0.5m"], + seealso: ["unequal", "smaller", "larger", "smallerEq", "largerEq", "compare", "deepEqual", "equalText"] +}, vB = { + name: "equalText", + category: "Relational", + syntax: ["equalText(x, y)"], + description: "Check equality of two strings. Comparison is case sensitive. Returns true if the values are equal, and false if not.", + examples: ['equalText("Hello", "Hello")', 'equalText("a", "A")', 'equal("2e3", "2000")', 'equalText("2e3", "2000")', 'equalText("B", ["A", "B", "C"])'], + seealso: ["compare", "compareNatural", "compareText", "equal"] +}, gB = { + name: "larger", + category: "Relational", + syntax: ["x > y", "larger(x, y)"], + description: "Check if value x is larger than y. Returns true if x is larger than y, and false if not.", + examples: ["2 > 3", "5 > 2*2", "a = 3.3", "b = 6-2.8", "(a > b)", "(b < a)", "5 cm > 2 inch"], + seealso: ["equal", "unequal", "smaller", "smallerEq", "largerEq", "compare"] +}, yB = { + name: "largerEq", + category: "Relational", + syntax: ["x >= y", "largerEq(x, y)"], + description: "Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.", + examples: ["2 >= 1+1", "2 > 1+1", "a = 3.2", "b = 6-2.8", "(a >= b)"], + seealso: ["equal", "unequal", "smallerEq", "smaller", "compare"] +}, xB = { + name: "smaller", + category: "Relational", + syntax: ["x < y", "smaller(x, y)"], + description: "Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.", + examples: ["2 < 3", "5 < 2*2", "a = 3.3", "b = 6-2.8", "(a < b)", "5 cm < 2 inch"], + seealso: ["equal", "unequal", "larger", "smallerEq", "largerEq", "compare"] +}, bB = { + name: "smallerEq", + category: "Relational", + syntax: ["x <= y", "smallerEq(x, y)"], + description: "Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.", + examples: ["2 <= 1+1", "2 < 1+1", "a = 3.2", "b = 6-2.8", "(a <= b)"], + seealso: ["equal", "unequal", "larger", "smaller", "largerEq", "compare"] +}, wB = { + name: "unequal", + category: "Relational", + syntax: ["x != y", "unequal(x, y)"], + description: "Check unequality of two values. Returns true if the values are unequal, and false if they are equal.", + examples: ["2+2 != 3", "2+2 != 4", "a = 3.2", "b = 6-2.8", "a != b", "50cm != 0.5m", "5 cm != 2 inch"], + seealso: ["equal", "smaller", "larger", "smallerEq", "largerEq", "compare", "deepEqual"] +}, NB = { + name: "setCartesian", + category: "Set", + syntax: ["setCartesian(set1, set2)"], + description: "Create the cartesian product of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays and the values will be sorted in ascending order before the operation.", + examples: ["setCartesian([1, 2], [3, 4])"], + seealso: ["setUnion", "setIntersect", "setDifference", "setPowerset"] +}, DB = { + name: "setDifference", + category: "Set", + syntax: ["setDifference(set1, set2)"], + description: "Create the difference of two (multi)sets: every element of set1, that is not the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", + examples: ["setDifference([1, 2, 3, 4], [3, 4, 5, 6])", "setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"], + seealso: ["setUnion", "setIntersect", "setSymDifference"] +}, AB = { + name: "setDistinct", + category: "Set", + syntax: ["setDistinct(set)"], + description: "Collect the distinct elements of a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.", + examples: ["setDistinct([1, 1, 1, 2, 2, 3])"], + seealso: ["setMultiplicity"] +}, EB = { + name: "setIntersect", + category: "Set", + syntax: ["setIntersect(set1, set2)"], + description: "Create the intersection of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", + examples: ["setIntersect([1, 2, 3, 4], [3, 4, 5, 6])", "setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])"], + seealso: ["setUnion", "setDifference"] +}, SB = { + name: "setIsSubset", + category: "Set", + syntax: ["setIsSubset(set1, set2)"], + description: "Check whether a (multi)set is a subset of another (multi)set: every element of set1 is the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", + examples: ["setIsSubset([1, 2], [3, 4, 5, 6])", "setIsSubset([3, 4], [3, 4, 5, 6])"], + seealso: ["setUnion", "setIntersect", "setDifference"] +}, CB = { + name: "setMultiplicity", + category: "Set", + syntax: ["setMultiplicity(element, set)"], + description: "Count the multiplicity of an element in a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.", + examples: ["setMultiplicity(1, [1, 2, 2, 4])", "setMultiplicity(2, [1, 2, 2, 4])"], + seealso: ["setDistinct", "setSize"] +}, TB = { + name: "setPowerset", + category: "Set", + syntax: ["setPowerset(set)"], + description: "Create the powerset of a (multi)set: the powerset contains very possible subsets of a (multi)set. A multi-dimension array will be converted to a single-dimension array before the operation.", + examples: ["setPowerset([1, 2, 3])"], + seealso: ["setCartesian"] +}, _B = { + name: "setSize", + category: "Set", + syntax: ["setSize(set)", "setSize(set, unique)"], + description: 'Count the number of elements of a (multi)set. When the second parameter "unique" is true, count only the unique values. A multi-dimension array will be converted to a single-dimension array before the operation.', + examples: ["setSize([1, 2, 2, 4])", "setSize([1, 2, 2, 4], true)"], + seealso: ["setUnion", "setIntersect", "setDifference"] +}, MB = { + name: "setSymDifference", + category: "Set", + syntax: ["setSymDifference(set1, set2)"], + description: "Create the symmetric difference of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", + examples: ["setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])", "setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"], + seealso: ["setUnion", "setIntersect", "setDifference"] +}, OB = { + name: "setUnion", + category: "Set", + syntax: ["setUnion(set1, set2)"], + description: "Create the union of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.", + examples: ["setUnion([1, 2, 3, 4], [3, 4, 5, 6])", "setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])"], + seealso: ["setIntersect", "setDifference"] +}, FB = { + name: "zpk2tf", + category: "Signal", + syntax: ["zpk2tf(z, p, k)"], + description: "Compute the transfer function of a zero-pole-gain model.", + examples: ["zpk2tf([1, 2], [-1, -2], 1)", "zpk2tf([1, 2], [-1, -2])", "zpk2tf([1 - 3i, 2 + 2i], [-1, -2])"], + seealso: [] +}, qB = { + name: "freqz", + category: "Signal", + syntax: ["freqz(b, a)", "freqz(b, a, w)"], + description: "Calculates the frequency response of a filter given its numerator and denominator coefficients.", + examples: ["freqz([1, 2], [1, 2, 3])", "freqz([1, 2], [1, 2, 3], [0, 1])", "freqz([1, 2], [1, 2, 3], 512)"], + seealso: [] +}, IB = { + name: "erf", + category: "Special", + syntax: ["erf(x)"], + description: "Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x", + examples: ["erf(0.2)", "erf(-0.5)", "erf(4)"], + seealso: [] +}, BB = { + name: "zeta", + category: "Special", + syntax: ["zeta(s)"], + description: "Compute the Riemann Zeta Function using an infinite series and Riemanns Functional Equation for the entire complex plane", + examples: ["zeta(0.2)", "zeta(-0.5)", "zeta(4)"], + seealso: [] +}, RB = { + name: "mad", + category: "Statistics", + syntax: ["mad(a, b, c, ...)", "mad(A)"], + description: "Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.", + examples: ["mad(10, 20, 30)", "mad([1, 2, 3])"], + seealso: ["mean", "median", "std", "abs"] +}, LB = { + name: "max", + category: "Statistics", + syntax: ["max(a, b, c, ...)", "max(A)", "max(A, dimension)"], + description: "Compute the maximum value of a list of values.", + examples: ["max(2, 3, 4, 1)", "max([2, 3, 4, 1])", "max([2, 5; 4, 3])", "max([2, 5; 4, 3], 1)", "max([2, 5; 4, 3], 2)", "max(2.7, 7.1, -4.5, 2.0, 4.1)", "min(2.7, 7.1, -4.5, 2.0, 4.1)"], + seealso: ["mean", "median", "min", "prod", "std", "sum", "variance"] +}, PB = { + name: "mean", + category: "Statistics", + syntax: ["mean(a, b, c, ...)", "mean(A)", "mean(A, dimension)"], + description: "Compute the arithmetic mean of a list of values.", + examples: ["mean(2, 3, 4, 1)", "mean([2, 3, 4, 1])", "mean([2, 5; 4, 3])", "mean([2, 5; 4, 3], 1)", "mean([2, 5; 4, 3], 2)", "mean([1.0, 2.7, 3.2, 4.0])"], + seealso: ["max", "median", "min", "prod", "std", "sum", "variance"] +}, kB = { + name: "median", + category: "Statistics", + syntax: ["median(a, b, c, ...)", "median(A)"], + description: "Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.", + examples: ["median(5, 2, 7)", "median([3, -1, 5, 7])"], + seealso: ["max", "mean", "min", "prod", "std", "sum", "variance", "quantileSeq"] +}, $B = { + name: "min", + category: "Statistics", + syntax: ["min(a, b, c, ...)", "min(A)", "min(A, dimension)"], + description: "Compute the minimum value of a list of values.", + examples: ["min(2, 3, 4, 1)", "min([2, 3, 4, 1])", "min([2, 5; 4, 3])", "min([2, 5; 4, 3], 1)", "min([2, 5; 4, 3], 2)", "min(2.7, 7.1, -4.5, 2.0, 4.1)", "max(2.7, 7.1, -4.5, 2.0, 4.1)"], + seealso: ["max", "mean", "median", "prod", "std", "sum", "variance"] +}, zB = { + name: "mode", + category: "Statistics", + syntax: ["mode(a, b, c, ...)", "mode(A)", "mode(A, a, b, B, c, ...)"], + description: "Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.", + examples: ["mode(2, 1, 4, 3, 1)", "mode([1, 2.7, 3.2, 4, 2.7])", "mode(1, 4, 6, 1, 6)"], + seealso: ["max", "mean", "min", "median", "prod", "std", "sum", "variance"] +}, UB = { + name: "prod", + category: "Statistics", + syntax: ["prod(a, b, c, ...)", "prod(A)"], + description: "Compute the product of all values.", + examples: ["prod(2, 3, 4)", "prod([2, 3, 4])", "prod([2, 5; 4, 3])"], + seealso: ["max", "mean", "min", "median", "min", "std", "sum", "variance"] +}, GB = { + name: "quantileSeq", + category: "Statistics", + syntax: ["quantileSeq(A, prob[, sorted])", "quantileSeq(A, [prob1, prob2, ...][, sorted])", "quantileSeq(A, N[, sorted])"], + description: `Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. + +In case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.`, + examples: ["quantileSeq([3, -1, 5, 7], 0.5)", "quantileSeq([3, -1, 5, 7], [1/3, 2/3])", "quantileSeq([3, -1, 5, 7], 2)", "quantileSeq([-1, 3, 5, 7], 0.5, true)"], + seealso: ["mean", "median", "min", "max", "prod", "std", "sum", "variance"] +}, HB = { + name: "std", + category: "Statistics", + syntax: ["std(a, b, c, ...)", "std(A)", "std(A, dimension)", "std(A, normalization)", "std(A, dimension, normalization)"], + description: 'Compute the standard deviation of all values, defined as std(A) = sqrt(variance(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".', + examples: ["std(2, 4, 6)", "std([2, 4, 6, 8])", 'std([2, 4, 6, 8], "uncorrected")', 'std([2, 4, 6, 8], "biased")', "std([1, 2, 3; 4, 5, 6])"], + seealso: ["max", "mean", "min", "median", "prod", "sum", "variance"] +}, QB = { + name: "cumsum", + category: "Statistics", + syntax: ["cumsum(a, b, c, ...)", "cumsum(A)"], + description: "Compute the cumulative sum of all values.", + examples: ["cumsum(2, 3, 4, 1)", "cumsum([2, 3, 4, 1])", "cumsum([1, 2; 3, 4])", "cumsum([1, 2; 3, 4], 1)", "cumsum([1, 2; 3, 4], 2)"], + seealso: ["max", "mean", "median", "min", "prod", "std", "sum", "variance"] +}, VB = { + name: "sum", + category: "Statistics", + syntax: ["sum(a, b, c, ...)", "sum(A)", "sum(A, dimension)"], + description: "Compute the sum of all values.", + examples: ["sum(2, 3, 4, 1)", "sum([2, 3, 4, 1])", "sum([2, 5; 4, 3])"], + seealso: ["max", "mean", "median", "min", "prod", "std", "sum", "variance"] +}, WB = { + name: "variance", + category: "Statistics", + syntax: ["variance(a, b, c, ...)", "variance(A)", "variance(A, dimension)", "variance(A, normalization)", "variance(A, dimension, normalization)"], + description: 'Compute the variance of all values. Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".', + examples: ["variance(2, 4, 6)", "variance([2, 4, 6, 8])", 'variance([2, 4, 6, 8], "uncorrected")', 'variance([2, 4, 6, 8], "biased")', "variance([1, 2, 3; 4, 5, 6])"], + seealso: ["max", "mean", "min", "median", "min", "prod", "std", "sum"] +}, jB = { + name: "corr", + category: "Statistics", + syntax: ["corr(A,B)"], + description: "Compute the correlation coefficient of a two list with values, For matrices, the matrix correlation coefficient is calculated.", + examples: ["corr([2, 4, 6, 8],[1, 2, 3, 6])", "corr(matrix([[1, 2.2, 3, 4.8, 5], [1, 2, 3, 4, 5]]), matrix([[4, 5.3, 6.6, 7, 8], [1, 2, 3, 4, 5]]))"], + seealso: ["max", "mean", "min", "median", "min", "prod", "std", "sum"] +}, ZB = { + name: "acos", + category: "Trigonometry", + syntax: ["acos(x)"], + description: "Compute the inverse cosine of a value in radians.", + examples: ["acos(0.5)", "acos(cos(2.3))"], + seealso: ["cos", "atan", "asin"] +}, JB = { + name: "acosh", + category: "Trigonometry", + syntax: ["acosh(x)"], + description: "Calculate the hyperbolic arccos of a value, defined as `acosh(x) = ln(sqrt(x^2 - 1) + x)`.", + examples: ["acosh(1.5)"], + seealso: ["cosh", "asinh", "atanh"] +}, YB = { + name: "acot", + category: "Trigonometry", + syntax: ["acot(x)"], + description: "Calculate the inverse cotangent of a value.", + examples: ["acot(0.5)", "acot(cot(0.5))", "acot(2)"], + seealso: ["cot", "atan"] +}, XB = { + name: "acoth", + category: "Trigonometry", + syntax: ["acoth(x)"], + description: "Calculate the hyperbolic arccotangent of a value, defined as `acoth(x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.", + examples: ["acoth(2)", "acoth(0.5)"], + seealso: ["acsch", "asech"] +}, KB = { + name: "acsc", + category: "Trigonometry", + syntax: ["acsc(x)"], + description: "Calculate the inverse cotangent of a value.", + examples: ["acsc(2)", "acsc(csc(0.5))", "acsc(0.5)"], + seealso: ["csc", "asin", "asec"] +}, e8 = { + name: "acsch", + category: "Trigonometry", + syntax: ["acsch(x)"], + description: "Calculate the hyperbolic arccosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.", + examples: ["acsch(0.5)"], + seealso: ["asech", "acoth"] +}, t8 = { + name: "asec", + category: "Trigonometry", + syntax: ["asec(x)"], + description: "Calculate the inverse secant of a value.", + examples: ["asec(0.5)", "asec(sec(0.5))", "asec(2)"], + seealso: ["acos", "acot", "acsc"] +}, r8 = { + name: "asech", + category: "Trigonometry", + syntax: ["asech(x)"], + description: "Calculate the inverse secant of a value.", + examples: ["asech(0.5)"], + seealso: ["acsch", "acoth"] +}, n8 = { + name: "asin", + category: "Trigonometry", + syntax: ["asin(x)"], + description: "Compute the inverse sine of a value in radians.", + examples: ["asin(0.5)", "asin(sin(0.5))"], + seealso: ["sin", "acos", "atan"] +}, i8 = { + name: "asinh", + category: "Trigonometry", + syntax: ["asinh(x)"], + description: "Calculate the hyperbolic arcsine of a value, defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`.", + examples: ["asinh(0.5)"], + seealso: ["acosh", "atanh"] +}, a8 = { + name: "atan", + category: "Trigonometry", + syntax: ["atan(x)"], + description: "Compute the inverse tangent of a value in radians.", + examples: ["atan(0.5)", "atan(tan(0.5))"], + seealso: ["tan", "acos", "asin"] +}, s8 = { + name: "atan2", + category: "Trigonometry", + syntax: ["atan2(y, x)"], + description: "Computes the principal value of the arc tangent of y/x in radians.", + examples: ["atan2(2, 2) / pi", "angle = 60 deg in rad", "x = cos(angle)", "y = sin(angle)", "atan2(y, x)"], + seealso: ["sin", "cos", "tan"] +}, o8 = { + name: "atanh", + category: "Trigonometry", + syntax: ["atanh(x)"], + description: "Calculate the hyperbolic arctangent of a value, defined as `atanh(x) = ln((1 + x)/(1 - x)) / 2`.", + examples: ["atanh(0.5)"], + seealso: ["acosh", "asinh"] +}, u8 = { + name: "cos", + category: "Trigonometry", + syntax: ["cos(x)"], + description: "Compute the cosine of x in radians.", + examples: ["cos(2)", "cos(pi / 4) ^ 2", "cos(180 deg)", "cos(60 deg)", "sin(0.2)^2 + cos(0.2)^2"], + seealso: ["acos", "sin", "tan"] +}, l8 = { + name: "cosh", + category: "Trigonometry", + syntax: ["cosh(x)"], + description: "Compute the hyperbolic cosine of x in radians.", + examples: ["cosh(0.5)"], + seealso: ["sinh", "tanh", "coth"] +}, c8 = { + name: "cot", + category: "Trigonometry", + syntax: ["cot(x)"], + description: "Compute the cotangent of x in radians. Defined as 1/tan(x)", + examples: ["cot(2)", "1 / tan(2)"], + seealso: ["sec", "csc", "tan"] +}, f8 = { + name: "coth", + category: "Trigonometry", + syntax: ["coth(x)"], + description: "Compute the hyperbolic cotangent of x in radians.", + examples: ["coth(2)", "1 / tanh(2)"], + seealso: ["sech", "csch", "tanh"] +}, p8 = { + name: "csc", + category: "Trigonometry", + syntax: ["csc(x)"], + description: "Compute the cosecant of x in radians. Defined as 1/sin(x)", + examples: ["csc(2)", "1 / sin(2)"], + seealso: ["sec", "cot", "sin"] +}, h8 = { + name: "csch", + category: "Trigonometry", + syntax: ["csch(x)"], + description: "Compute the hyperbolic cosecant of x in radians. Defined as 1/sinh(x)", + examples: ["csch(2)", "1 / sinh(2)"], + seealso: ["sech", "coth", "sinh"] +}, m8 = { + name: "sec", + category: "Trigonometry", + syntax: ["sec(x)"], + description: "Compute the secant of x in radians. Defined as 1/cos(x)", + examples: ["sec(2)", "1 / cos(2)"], + seealso: ["cot", "csc", "cos"] +}, d8 = { + name: "sech", + category: "Trigonometry", + syntax: ["sech(x)"], + description: "Compute the hyperbolic secant of x in radians. Defined as 1/cosh(x)", + examples: ["sech(2)", "1 / cosh(2)"], + seealso: ["coth", "csch", "cosh"] +}, v8 = { + name: "sin", + category: "Trigonometry", + syntax: ["sin(x)"], + description: "Compute the sine of x in radians.", + examples: ["sin(2)", "sin(pi / 4) ^ 2", "sin(90 deg)", "sin(30 deg)", "sin(0.2)^2 + cos(0.2)^2"], + seealso: ["asin", "cos", "tan"] +}, g8 = { + name: "sinh", + category: "Trigonometry", + syntax: ["sinh(x)"], + description: "Compute the hyperbolic sine of x in radians.", + examples: ["sinh(0.5)"], + seealso: ["cosh", "tanh"] +}, y8 = { + name: "tan", + category: "Trigonometry", + syntax: ["tan(x)"], + description: "Compute the tangent of x in radians.", + examples: ["tan(0.5)", "sin(0.5) / cos(0.5)", "tan(pi / 4)", "tan(45 deg)"], + seealso: ["atan", "sin", "cos"] +}, x8 = { + name: "tanh", + category: "Trigonometry", + syntax: ["tanh(x)"], + description: "Compute the hyperbolic tangent of x in radians.", + examples: ["tanh(0.5)", "sinh(0.5) / cosh(0.5)"], + seealso: ["sinh", "cosh"] +}, b8 = { + name: "to", + category: "Units", + syntax: ["x to unit", "to(x, unit)"], + description: "Change the unit of a value.", + examples: ["5 inch to cm", "3.2kg to g", "16 bytes in bits"], + seealso: [] +}, w8 = { + name: "bin", + category: "Utils", + syntax: ["bin(value)"], + description: "Format a number as binary", + examples: ["bin(2)"], + seealso: ["oct", "hex"] +}, N8 = { + name: "clone", + category: "Utils", + syntax: ["clone(x)"], + description: "Clone a variable. Creates a copy of primitive variables,and a deep copy of matrices", + examples: ["clone(3.5)", "clone(2 - 4i)", "clone(45 deg)", "clone([1, 2; 3, 4])", 'clone("hello world")'], + seealso: [] +}, D8 = { + name: "format", + category: "Utils", + syntax: ["format(value)", "format(value, precision)"], + description: "Format a value of any type as string.", + examples: ["format(2.3)", "format(3 - 4i)", "format([])", "format(pi, 3)"], + seealso: ["print"] +}, A8 = { + name: "hasNumericValue", + category: "Utils", + syntax: ["hasNumericValue(x)"], + description: "Test whether a value is an numeric value. In case of a string, true is returned if the string contains a numeric value.", + examples: ["hasNumericValue(2)", 'hasNumericValue("2")', 'isNumeric("2")', "hasNumericValue(0)", "hasNumericValue(bignumber(500))", "hasNumericValue(fraction(0.125))", "hasNumericValue(2 + 3i)", 'hasNumericValue([2.3, "foo", false])'], + seealso: ["isInteger", "isZero", "isNegative", "isPositive", "isNaN", "isNumeric"] +}, E8 = { + name: "hex", + category: "Utils", + syntax: ["hex(value)"], + description: "Format a number as hexadecimal", + examples: ["hex(240)"], + seealso: ["bin", "oct"] +}, S8 = { + name: "isInteger", + category: "Utils", + syntax: ["isInteger(x)"], + description: "Test whether a value is an integer number.", + examples: ["isInteger(2)", "isInteger(3.5)", "isInteger([3, 0.5, -2])"], + seealso: ["isNegative", "isNumeric", "isPositive", "isZero"] +}, C8 = { + name: "isNaN", + category: "Utils", + syntax: ["isNaN(x)"], + description: "Test whether a value is NaN (not a number)", + examples: ["isNaN(2)", "isNaN(0 / 0)", "isNaN(NaN)", "isNaN(Infinity)"], + seealso: ["isNegative", "isNumeric", "isPositive", "isZero"] +}, T8 = { + name: "isNegative", + category: "Utils", + syntax: ["isNegative(x)"], + description: "Test whether a value is negative: smaller than zero.", + examples: ["isNegative(2)", "isNegative(0)", "isNegative(-4)", "isNegative([3, 0.5, -2])"], + seealso: ["isInteger", "isNumeric", "isPositive", "isZero"] +}, _8 = { + name: "isNumeric", + category: "Utils", + syntax: ["isNumeric(x)"], + description: "Test whether a value is a numeric value. Returns true when the input is a number, BigNumber, Fraction, or boolean.", + examples: ["isNumeric(2)", 'isNumeric("2")', 'hasNumericValue("2")', "isNumeric(0)", "isNumeric(bignumber(500))", "isNumeric(fraction(0.125))", "isNumeric(2 + 3i)", 'isNumeric([2.3, "foo", false])'], + seealso: ["isInteger", "isZero", "isNegative", "isPositive", "isNaN", "hasNumericValue"] +}, M8 = { + name: "isPositive", + category: "Utils", + syntax: ["isPositive(x)"], + description: "Test whether a value is positive: larger than zero.", + examples: ["isPositive(2)", "isPositive(0)", "isPositive(-4)", "isPositive([3, 0.5, -2])"], + seealso: ["isInteger", "isNumeric", "isNegative", "isZero"] +}, O8 = { + name: "isPrime", + category: "Utils", + syntax: ["isPrime(x)"], + description: "Test whether a value is prime: has no divisors other than itself and one.", + examples: ["isPrime(3)", "isPrime(-2)", "isPrime([2, 17, 100])"], + seealso: ["isInteger", "isNumeric", "isNegative", "isZero"] +}, F8 = { + name: "isZero", + category: "Utils", + syntax: ["isZero(x)"], + description: "Test whether a value is zero.", + examples: ["isZero(2)", "isZero(0)", "isZero(-4)", "isZero([3, 0, -2, 0])"], + seealso: ["isInteger", "isNumeric", "isNegative", "isPositive"] +}, q8 = { + name: "numeric", + category: "Utils", + syntax: ["numeric(x)"], + description: "Convert a numeric input to a specific numeric type: number, BigNumber, bigint, or Fraction.", + examples: ['numeric("4")', 'numeric("4", "number")', 'numeric("4", "bigint")', 'numeric("4", "BigNumber")', 'numeric("4", "Fraction")', 'numeric(4, "Fraction")', 'numeric(fraction(2, 5), "number")'], + seealso: ["number", "bigint", "fraction", "bignumber", "string", "format"] +}, I8 = { + name: "oct", + category: "Utils", + syntax: ["oct(value)"], + description: "Format a number as octal", + examples: ["oct(56)"], + seealso: ["bin", "hex"] +}, B8 = { + name: "print", + category: "Utils", + syntax: ["print(template, values)", "print(template, values, precision)"], + description: "Interpolate values into a string template.", + examples: ['print("Lucy is $age years old", {age: 5})', 'print("The value of pi is $pi", {pi: pi}, 3)', 'print("Hello, $user.name!", {user: {name: "John"}})', 'print("Values: $1, $2, $3", [6, 9, 4])'], + seealso: ["format"] +}, R8 = { + name: "typeOf", + category: "Utils", + syntax: ["typeOf(x)"], + description: "Get the type of a variable.", + examples: ["typeOf(3.5)", "typeOf(2 - 4i)", "typeOf(45 deg)", 'typeOf("hello world")'], + seealso: ["getMatrixDataType"] +}, L8 = { + name: "solveODE", + category: "Numeric", + syntax: ["solveODE(func, tspan, y0)", "solveODE(func, tspan, y0, options)"], + description: "Numerical Integration of Ordinary Differential Equations.", + examples: ["f(t,y) = y", "tspan = [0, 4]", "solveODE(f, tspan, 1)", "solveODE(f, tspan, [1, 2])", 'solveODE(f, tspan, 1, { method:"RK23", maxStep:0.1 })'], + seealso: ["derivative", "simplifyCore"] +}, Xw = { + // construction functions + bignumber: C4, + bigint: T4, + boolean: _4, + complex: M4, + createUnit: O4, + fraction: F4, + index: q4, + matrix: I4, + number: B4, + sparse: R4, + splitUnit: L4, + string: P4, + unit: k4, + // constants + e: hb, + E: hb, + false: p4, + i: h4, + Infinity: m4, + LN2: v4, + LN10: d4, + LOG2E: y4, + LOG10E: g4, + NaN: x4, + null: b4, + pi: mb, + PI: mb, + phi: w4, + SQRT1_2: N4, + SQRT2: D4, + tau: A4, + true: E4, + version: S4, + // physical constants + // TODO: more detailed docs for physical constants + speedOfLight: { + description: "Speed of light in vacuum", + examples: ["speedOfLight"] + }, + gravitationConstant: { + description: "Newtonian constant of gravitation", + examples: ["gravitationConstant"] + }, + planckConstant: { + description: "Planck constant", + examples: ["planckConstant"] + }, + reducedPlanckConstant: { + description: "Reduced Planck constant", + examples: ["reducedPlanckConstant"] + }, + magneticConstant: { + description: "Magnetic constant (vacuum permeability)", + examples: ["magneticConstant"] + }, + electricConstant: { + description: "Electric constant (vacuum permeability)", + examples: ["electricConstant"] + }, + vacuumImpedance: { + description: "Characteristic impedance of vacuum", + examples: ["vacuumImpedance"] + }, + coulomb: { + description: "Coulomb's constant", + examples: ["coulomb"] + }, + elementaryCharge: { + description: "Elementary charge", + examples: ["elementaryCharge"] + }, + bohrMagneton: { + description: "Borh magneton", + examples: ["bohrMagneton"] + }, + conductanceQuantum: { + description: "Conductance quantum", + examples: ["conductanceQuantum"] + }, + inverseConductanceQuantum: { + description: "Inverse conductance quantum", + examples: ["inverseConductanceQuantum"] + }, + // josephson: {description: 'Josephson constant', examples: ['josephson']}, + magneticFluxQuantum: { + description: "Magnetic flux quantum", + examples: ["magneticFluxQuantum"] + }, + nuclearMagneton: { + description: "Nuclear magneton", + examples: ["nuclearMagneton"] + }, + klitzing: { + description: "Von Klitzing constant", + examples: ["klitzing"] + }, + bohrRadius: { + description: "Borh radius", + examples: ["bohrRadius"] + }, + classicalElectronRadius: { + description: "Classical electron radius", + examples: ["classicalElectronRadius"] + }, + electronMass: { + description: "Electron mass", + examples: ["electronMass"] + }, + fermiCoupling: { + description: "Fermi coupling constant", + examples: ["fermiCoupling"] + }, + fineStructure: { + description: "Fine-structure constant", + examples: ["fineStructure"] + }, + hartreeEnergy: { + description: "Hartree energy", + examples: ["hartreeEnergy"] + }, + protonMass: { + description: "Proton mass", + examples: ["protonMass"] + }, + deuteronMass: { + description: "Deuteron Mass", + examples: ["deuteronMass"] + }, + neutronMass: { + description: "Neutron mass", + examples: ["neutronMass"] + }, + quantumOfCirculation: { + description: "Quantum of circulation", + examples: ["quantumOfCirculation"] + }, + rydberg: { + description: "Rydberg constant", + examples: ["rydberg"] + }, + thomsonCrossSection: { + description: "Thomson cross section", + examples: ["thomsonCrossSection"] + }, + weakMixingAngle: { + description: "Weak mixing angle", + examples: ["weakMixingAngle"] + }, + efimovFactor: { + description: "Efimov factor", + examples: ["efimovFactor"] + }, + atomicMass: { + description: "Atomic mass constant", + examples: ["atomicMass"] + }, + avogadro: { + description: "Avogadro's number", + examples: ["avogadro"] + }, + boltzmann: { + description: "Boltzmann constant", + examples: ["boltzmann"] + }, + faraday: { + description: "Faraday constant", + examples: ["faraday"] + }, + firstRadiation: { + description: "First radiation constant", + examples: ["firstRadiation"] + }, + loschmidt: { + description: "Loschmidt constant at T=273.15 K and p=101.325 kPa", + examples: ["loschmidt"] + }, + gasConstant: { + description: "Gas constant", + examples: ["gasConstant"] + }, + molarPlanckConstant: { + description: "Molar Planck constant", + examples: ["molarPlanckConstant"] + }, + molarVolume: { + description: "Molar volume of an ideal gas at T=273.15 K and p=101.325 kPa", + examples: ["molarVolume"] + }, + sackurTetrode: { + description: "Sackur-Tetrode constant at T=1 K and p=101.325 kPa", + examples: ["sackurTetrode"] + }, + secondRadiation: { + description: "Second radiation constant", + examples: ["secondRadiation"] + }, + stefanBoltzmann: { + description: "Stefan-Boltzmann constant", + examples: ["stefanBoltzmann"] + }, + wienDisplacement: { + description: "Wien displacement law constant", + examples: ["wienDisplacement"] + }, + // spectralRadiance: {description: 'First radiation constant for spectral radiance', examples: ['spectralRadiance']}, + molarMass: { + description: "Molar mass constant", + examples: ["molarMass"] + }, + molarMassC12: { + description: "Molar mass constant of carbon-12", + examples: ["molarMassC12"] + }, + gravity: { + description: "Standard acceleration of gravity (standard acceleration of free-fall on Earth)", + examples: ["gravity"] + }, + planckLength: { + description: "Planck length", + examples: ["planckLength"] + }, + planckMass: { + description: "Planck mass", + examples: ["planckMass"] + }, + planckTime: { + description: "Planck time", + examples: ["planckTime"] + }, + planckCharge: { + description: "Planck charge", + examples: ["planckCharge"] + }, + planckTemperature: { + description: "Planck temperature", + examples: ["planckTemperature"] + }, + // functions - algebra + derivative: G4, + lsolve: Q4, + lsolveAll: V4, + lup: W4, + lusolve: j4, + leafCount: H4, + polynomialRoot: Z4, + resolve: X4, + simplify: K4, + simplifyConstant: eI, + simplifyCore: tI, + symbolicEqual: nI, + rationalize: Y4, + slu: rI, + usolve: iI, + usolveAll: aI, + qr: J4, + // functions - arithmetic + abs: sI, + add: oI, + cbrt: uI, + ceil: lI, + cube: cI, + divide: fI, + dotDivide: pI, + dotMultiply: hI, + dotPow: mI, + exp: dI, + expm: vI, + expm1: gI, + fix: yI, + floor: xI, + gcd: bI, + hypot: wI, + lcm: DI, + log: AI, + log2: CI, + log1p: SI, + log10: EI, + mod: TI, + multiply: _I, + norm: MI, + nthRoot: OI, + nthRoots: FI, + pow: qI, + round: II, + sign: BI, + sqrt: RI, + sqrtm: LI, + square: zI, + subtract: UI, + unaryMinus: GI, + unaryPlus: HI, + xgcd: QI, + invmod: NI, + // functions - bitwise + bitAnd: VI, + bitNot: WI, + bitOr: jI, + bitXor: ZI, + leftShift: JI, + rightArithShift: YI, + rightLogShift: XI, + // functions - combinatorics + bellNumbers: KI, + catalan: e5, + composition: t5, + stirlingS2: r5, + // functions - core + config: $4, + import: z4, + typed: U4, + // functions - complex + arg: n5, + conj: i5, + re: s5, + im: a5, + // functions - expression + evaluate: o5, + help: u5, + // functions - geometry + distance: l5, + intersect: c5, + // functions - logical + and: f5, + not: p5, + or: h5, + xor: m5, + // functions - matrix + concat: v5, + count: g5, + cross: y5, + column: d5, + ctranspose: x5, + det: b5, + diag: w5, + diff: N5, + dot: D5, + getMatrixDataType: T5, + identity: _5, + filter: E5, + flatten: S5, + forEach: C5, + inv: M5, + pinv: O5, + eigs: A5, + kron: F5, + matrixFromFunction: B5, + matrixFromRows: R5, + matrixFromColumns: I5, + map: q5, + ones: L5, + partitionSelect: P5, + range: k5, + resize: z5, + reshape: $5, + rotate: U5, + rotationMatrix: G5, + row: H5, + size: Q5, + sort: V5, + squeeze: W5, + subset: j5, + trace: Z5, + transpose: J5, + zeros: Y5, + fft: X5, + ifft: K5, + sylvester: PI, + schur: kI, + lyap: $I, + // functions - numeric + solveODE: L8, + // functions - probability + combinations: eB, + combinationsWithRep: tB, + // distribution: distributionDocs, + factorial: rB, + gamma: nB, + kldivergence: aB, + lgamma: iB, + multinomial: sB, + permutations: oB, + pickRandom: uB, + random: lB, + randomInt: cB, + // functions - relational + compare: fB, + compareNatural: pB, + compareText: hB, + deepEqual: mB, + equal: dB, + equalText: vB, + larger: gB, + largerEq: yB, + smaller: xB, + smallerEq: bB, + unequal: wB, + // functions - set + setCartesian: NB, + setDifference: DB, + setDistinct: AB, + setIntersect: EB, + setIsSubset: SB, + setMultiplicity: CB, + setPowerset: TB, + setSize: _B, + setSymDifference: MB, + setUnion: OB, + // functions - signal + zpk2tf: FB, + freqz: qB, + // functions - special + erf: IB, + zeta: BB, + // functions - statistics + cumsum: QB, + mad: RB, + max: LB, + mean: PB, + median: kB, + min: $B, + mode: zB, + prod: UB, + quantileSeq: GB, + std: HB, + sum: VB, + variance: WB, + corr: jB, + // functions - trigonometry + acos: ZB, + acosh: JB, + acot: YB, + acoth: XB, + acsc: KB, + acsch: e8, + asec: t8, + asech: r8, + asin: n8, + asinh: i8, + atan: a8, + atanh: o8, + atan2: s8, + cos: u8, + cosh: l8, + cot: c8, + coth: f8, + csc: p8, + csch: h8, + sec: m8, + sech: d8, + sin: v8, + sinh: g8, + tan: y8, + tanh: x8, + // functions - units + to: b8, + // functions - utils + clone: N8, + format: D8, + bin: w8, + oct: I8, + hex: E8, + isNaN: C8, + isInteger: S8, + isNegative: T8, + isNumeric: _8, + hasNumericValue: A8, + isPositive: M8, + isPrime: O8, + isZero: F8, + print: B8, + typeOf: R8, + numeric: q8 +}, db = "help", P8 = ["typed", "mathWithTransform", "Help"], Ef = /* @__PURE__ */ j(db, P8, (t) => { + var { + typed: e, + mathWithTransform: r, + Help: n + } = t; + return e(db, { + any: function(s) { + var o, p = s; + if (typeof s != "string") { + for (o in r) + if (We(r, o) && s === r[o]) { + p = o; + break; + } + } + var u = Kr(Xw, p); + if (!u) { + var f = typeof p == "function" ? p.name : p; + throw new Error('No documentation found on "' + f + '"'); + } + return new n(u); + } + }); +}), vb = "chain", k8 = ["typed", "Chain"], Sf = /* @__PURE__ */ j(vb, k8, (t) => { + var { + typed: e, + Chain: r + } = t; + return e(vb, { + "": function() { + return new r(); + }, + any: function(a) { + return new r(a); + } + }); +}), gb = "det", $8 = ["typed", "matrix", "subtractScalar", "multiply", "divideScalar", "isZero", "unaryMinus"], Cf = /* @__PURE__ */ j(gb, $8, (t) => { + var { + typed: e, + matrix: r, + subtractScalar: n, + multiply: a, + divideScalar: s, + isZero: o, + unaryMinus: p + } = t; + return e(gb, { + any: function(l) { + return nt(l); + }, + "Array | Matrix": function(l) { + var c; + switch (tt(l) ? c = l.size() : Array.isArray(l) ? (l = r(l), c = l.size()) : c = [], c.length) { + case 0: + return nt(l); + case 1: + if (c[0] === 1) + return nt(l.valueOf()[0]); + if (c[0] === 0) + return 1; + throw new RangeError("Matrix must be square (size: " + Dt(c) + ")"); + case 2: { + var h = c[0], d = c[1]; + if (h === d) + return u(l.clone().valueOf(), h); + if (d === 0) + return 1; + throw new RangeError("Matrix must be square (size: " + Dt(c) + ")"); + } + default: + throw new RangeError("Matrix must be two dimensional (size: " + Dt(c) + ")"); + } + } + }); + function u(f, l, c) { + if (l === 1) + return nt(f[0][0]); + if (l === 2) + return n(a(f[0][0], f[1][1]), a(f[1][0], f[0][1])); + for (var h = !1, d = new Array(l).fill(0).map((M, _) => _), g = 0; g < l; g++) { + var v = d[g]; + if (o(f[v][g])) { + var N = void 0; + for (N = g + 1; N < l; N++) + if (!o(f[d[N]][g])) { + v = d[N], d[N] = d[g], d[g] = v, h = !h; + break; + } + if (N === l) return f[v][g]; + } + for (var b = f[v][g], C = g === 0 ? 1 : f[d[g - 1]][g - 1], x = g + 1; x < l; x++) + for (var E = d[x], D = g + 1; D < l; D++) + f[E][D] = s(n(a(f[E][D], b), a(f[E][g], f[v][D])), C); + } + var A = f[d[l - 1]][l - 1]; + return h ? p(A) : A; + } +}), yb = "inv", z8 = ["typed", "matrix", "divideScalar", "addScalar", "multiply", "unaryMinus", "det", "identity", "abs"], Tf = /* @__PURE__ */ j(yb, z8, (t) => { + var { + typed: e, + matrix: r, + divideScalar: n, + addScalar: a, + multiply: s, + unaryMinus: o, + det: p, + identity: u, + abs: f + } = t; + return e(yb, { + "Array | Matrix": function(h) { + var d = tt(h) ? h.size() : gt(h); + switch (d.length) { + case 1: + if (d[0] === 1) + return tt(h) ? r([n(1, h.valueOf()[0])]) : [n(1, h[0])]; + throw new RangeError("Matrix must be square (size: " + Dt(d) + ")"); + case 2: { + var g = d[0], v = d[1]; + if (g === v) + return tt(h) ? r(l(h.valueOf(), g, v), h.storage()) : l(h, g, v); + throw new RangeError("Matrix must be square (size: " + Dt(d) + ")"); + } + default: + throw new RangeError("Matrix must be two dimensional (size: " + Dt(d) + ")"); + } + }, + any: function(h) { + return n(1, h); + } + }); + function l(c, h, d) { + var g, v, N, b, C; + if (h === 1) { + if (b = c[0][0], b === 0) + throw Error("Cannot calculate inverse, determinant is zero"); + return [[n(1, b)]]; + } else if (h === 2) { + var x = p(c); + if (x === 0) + throw Error("Cannot calculate inverse, determinant is zero"); + return [[n(c[1][1], x), n(o(c[0][1]), x)], [n(o(c[1][0]), x), n(c[0][0], x)]]; + } else { + var E = c.concat(); + for (g = 0; g < h; g++) + E[g] = E[g].concat(); + for (var D = u(h).valueOf(), A = 0; A < d; A++) { + var M = f(E[A][A]), _ = A; + for (g = A + 1; g < h; ) + f(E[g][A]) > M && (M = f(E[g][A]), _ = g), g++; + if (M === 0) + throw Error("Cannot calculate inverse, determinant is zero"); + g = _, g !== A && (C = E[A], E[A] = E[g], E[g] = C, C = D[A], D[A] = D[g], D[g] = C); + var O = E[A], T = D[A]; + for (g = 0; g < h; g++) { + var I = E[g], q = D[g]; + if (g !== A) { + if (I[A] !== 0) { + for (N = n(o(I[A]), O[A]), v = A; v < d; v++) + I[v] = a(I[v], s(N, O[v])); + for (v = 0; v < d; v++) + q[v] = a(q[v], s(N, T[v])); + } + } else { + for (N = O[A], v = A; v < d; v++) + I[v] = n(I[v], N); + for (v = 0; v < d; v++) + q[v] = n(q[v], N); + } + } + } + return D; + } + } +}), xb = "pinv", U8 = ["typed", "matrix", "inv", "deepEqual", "equal", "dotDivide", "dot", "ctranspose", "divideScalar", "multiply", "add", "Complex"], _f = /* @__PURE__ */ j(xb, U8, (t) => { + var { + typed: e, + matrix: r, + inv: n, + deepEqual: a, + equal: s, + dotDivide: o, + dot: p, + ctranspose: u, + divideScalar: f, + multiply: l, + add: c, + Complex: h + } = t; + return e(xb, { + "Array | Matrix": function(x) { + var E = tt(x) ? x.size() : gt(x); + switch (E.length) { + case 1: + return b(x) ? u(x) : E[0] === 1 ? n(x) : o(u(x), p(x, x)); + case 2: { + if (b(x)) return u(x); + var D = E[0], A = E[1]; + if (D === A) + try { + return n(x); + } catch (M) { + if (!(M instanceof Error && M.message.match(/Cannot calculate inverse, determinant is zero/))) throw M; + } + return tt(x) ? r(d(x.valueOf(), D, A), x.storage()) : d(x, D, A); + } + default: + throw new RangeError("Matrix must be two dimensional (size: " + Dt(E) + ")"); + } + }, + any: function(x) { + return s(x, 0) ? nt(x) : f(1, x); + } + }); + function d(C, x, E) { + var { + C: D, + F: A + } = v(C, x, E), M = l(n(l(u(D), D)), u(D)), _ = l(u(A), n(l(A, u(A)))); + return l(_, M); + } + function g(C, x, E) { + for (var D = nt(C), A = 0, M = 0; M < x; M++) { + if (E <= A) + return D; + for (var _ = M; N(D[_][A]); ) + if (_++, x === _ && (_ = M, A++, E === A)) + return D; + [D[_], D[M]] = [D[M], D[_]]; + for (var O = D[M][A], T = 0; T < E; T++) + D[M][T] = o(D[M][T], O); + for (var I = 0; I < x; I++) + if (I !== M) { + O = D[I][A]; + for (var q = 0; q < E; q++) + D[I][q] = c(D[I][q], l(-1, l(O, D[M][q]))); + } + A++; + } + return D; + } + function v(C, x, E) { + var D = g(C, x, E), A = C.map((_, O) => _.filter((T, I) => I < x && !N(p(D[I], D[I])))), M = D.filter((_, O) => !N(p(D[O], D[O]))); + return { + C: A, + F: M + }; + } + function N(C) { + return s(c(C, h(1, 1)), c(0, h(1, 1))); + } + function b(C) { + return a(c(C, h(1, 1)), c(l(C, 0), h(1, 1))); + } +}); +function G8(t) { + var { + addScalar: e, + subtract: r, + flatten: n, + multiply: a, + multiplyScalar: s, + divideScalar: o, + sqrt: p, + abs: u, + bignumber: f, + diag: l, + size: c, + reshape: h, + inv: d, + qr: g, + usolve: v, + usolveAll: N, + equal: b, + complex: C, + larger: x, + smaller: E, + matrixFromColumns: D, + dot: A + } = t; + function M(Z, H, te, be) { + var K = arguments.length > 4 && arguments[4] !== void 0 ? arguments[4] : !0, ce = _(Z, H, te, be, K); + O(Z, H, te, be, K, ce); + var { + values: de, + C: ue + } = T(Z, H, te, be, K); + if (K) { + var ve = I(Z, H, ue, ce, de, te, be); + return { + values: de, + eigenvectors: ve + }; + } + return { + values: de + }; + } + function _(Z, H, te, be, K) { + var ce = be === "BigNumber", de = be === "Complex", ue = ce ? f(0) : 0, ve = ce ? f(1) : de ? C(1) : 1, he = ce ? f(1) : 1, Ne = ce ? f(10) : 2, we = s(Ne, Ne), Se; + K && (Se = Array(H).fill(ve)); + for (var V = !1; !V; ) { + V = !0; + for (var re = 0; re < H; re++) { + for (var pe = ue, X = ue, ie = 0; ie < H; ie++) + re !== ie && (pe = e(pe, u(Z[ie][re])), X = e(X, u(Z[re][ie]))); + if (!b(pe, 0) && !b(X, 0)) { + for (var me = he, Ae = pe, Me = o(X, Ne), Q = s(X, Ne); E(Ae, Me); ) + Ae = s(Ae, we), me = s(me, Ne); + for (; x(Ae, Q); ) + Ae = o(Ae, we), me = o(me, Ne); + var ee = E(o(e(Ae, X), me), s(e(pe, X), 0.95)); + if (ee) { + V = !1; + for (var ye = o(1, me), Ee = 0; Ee < H; Ee++) + re !== Ee && (Z[re][Ee] = s(Z[re][Ee], ye), Z[Ee][re] = s(Z[Ee][re], me)); + K && (Se[re] = s(Se[re], ye)); + } + } + } + } + return K ? l(Se) : null; + } + function O(Z, H, te, be, K, ce) { + var de = be === "BigNumber", ue = be === "Complex", ve = de ? f(0) : ue ? C(0) : 0; + de && (te = f(te)); + for (var he = 0; he < H - 2; he++) { + for (var Ne = 0, we = ve, Se = he + 1; Se < H; Se++) { + var V = Z[Se][he]; + E(u(we), u(V)) && (we = V, Ne = Se); + } + if (!E(u(we), te)) { + if (Ne !== he + 1) { + var re = Z[Ne]; + Z[Ne] = Z[he + 1], Z[he + 1] = re; + for (var pe = 0; pe < H; pe++) { + var X = Z[pe][Ne]; + Z[pe][Ne] = Z[pe][he + 1], Z[pe][he + 1] = X; + } + if (K) { + var ie = ce[Ne]; + ce[Ne] = ce[he + 1], ce[he + 1] = ie; + } + } + for (var me = he + 2; me < H; me++) { + var Ae = o(Z[me][he], we); + if (Ae !== 0) { + for (var Me = 0; Me < H; Me++) + Z[me][Me] = r(Z[me][Me], s(Ae, Z[he + 1][Me])); + for (var Q = 0; Q < H; Q++) + Z[Q][he + 1] = e(Z[Q][he + 1], s(Ae, Z[Q][me])); + if (K) + for (var ee = 0; ee < H; ee++) + ce[me][ee] = r(ce[me][ee], s(Ae, ce[he + 1][ee])); + } + } + } + } + return ce; + } + function T(Z, H, te, be, K) { + var ce = be === "BigNumber", de = be === "Complex", ue = ce ? f(1) : de ? C(1) : 1; + ce && (te = f(te)); + for (var ve = nt(Z), he = [], Ne = H, we = [], Se = K ? l(Array(H).fill(ue)) : void 0, V = K ? l(Array(Ne).fill(ue)) : void 0, re = 0; re <= 100; ) { + re += 1; + for (var pe = ve[Ne - 1][Ne - 1], X = 0; X < Ne; X++) + ve[X][X] = r(ve[X][X], pe); + var { + Q: ie, + R: me + } = g(ve); + ve = a(me, ie); + for (var Ae = 0; Ae < Ne; Ae++) + ve[Ae][Ae] = e(ve[Ae][Ae], pe); + if (K && (V = a(V, ie)), Ne === 1 || E(u(ve[Ne - 1][Ne - 2]), te)) { + re = 0, he.push(ve[Ne - 1][Ne - 1]), K && (we.unshift([[1]]), U(V, H), Se = a(Se, V), Ne > 1 && (V = l(Array(Ne - 1).fill(ue)))), Ne -= 1, ve.pop(); + for (var Me = 0; Me < Ne; Me++) + ve[Me].pop(); + } else if (Ne === 2 || E(u(ve[Ne - 2][Ne - 3]), te)) { + re = 0; + var Q = q(ve[Ne - 2][Ne - 2], ve[Ne - 2][Ne - 1], ve[Ne - 1][Ne - 2], ve[Ne - 1][Ne - 1]); + he.push(...Q), K && (we.unshift($(ve[Ne - 2][Ne - 2], ve[Ne - 2][Ne - 1], ve[Ne - 1][Ne - 2], ve[Ne - 1][Ne - 1], Q[0], Q[1], te, be)), U(V, H), Se = a(Se, V), Ne > 2 && (V = l(Array(Ne - 2).fill(ue)))), Ne -= 2, ve.pop(), ve.pop(); + for (var ee = 0; ee < Ne; ee++) + ve[ee].pop(), ve[ee].pop(); + } + if (Ne === 0) + break; + } + if (he.sort((Ce, De) => +r(u(Ce), u(De))), re > 100) { + var ye = Error("The eigenvalues failed to converge. Only found these eigenvalues: " + he.join(", ")); + throw ye.values = he, ye.vectors = [], ye; + } + var Ee = K ? a(Se, k(we, H)) : void 0; + return { + values: he, + C: Ee + }; + } + function I(Z, H, te, be, K, ce, de) { + var ue = d(te), ve = a(ue, Z, te), he = de === "BigNumber", Ne = de === "Complex", we = he ? f(0) : Ne ? C(0) : 0, Se = he ? f(1) : Ne ? C(1) : 1, V = [], re = []; + for (var pe of K) { + var X = L(V, pe, b); + X === -1 ? (V.push(pe), re.push(1)) : re[X] += 1; + } + for (var ie = [], me = V.length, Ae = Array(H).fill(we), Me = l(Array(H).fill(Se)), Q = function() { + var Ee = V[ee], Ce = r(ve, a(Ee, Me)), De = N(Ce, Ae); + for (De.shift(); De.length < re[ee]; ) { + var Oe = R(Ce, H, De, ce, de); + if (Oe === null) + break; + De.push(Oe); + } + var Be = a(d(be), te); + De = De.map((Le) => a(Be, Le)), ie.push(...De.map((Le) => ({ + value: Ee, + vector: n(Le) + }))); + }, ee = 0; ee < me; ee++) + Q(); + return ie; + } + function q(Z, H, te, be) { + var K = e(Z, be), ce = r(s(Z, be), s(H, te)), de = s(K, 0.5), ue = s(p(r(s(K, K), s(4, ce))), 0.5); + return [e(de, ue), r(de, ue)]; + } + function $(Z, H, te, be, K, ce, de, ue) { + var ve = ue === "BigNumber", he = ue === "Complex", Ne = ve ? f(0) : he ? C(0) : 0, we = ve ? f(1) : he ? C(1) : 1; + if (E(u(te), de)) + return [[we, Ne], [Ne, we]]; + if (x(u(r(K, ce)), de)) + return [[r(K, be), r(ce, be)], [te, te]]; + var Se = r(Z, K), V = r(be, K); + return E(u(H), de) && E(u(V), de) ? [[Se, we], [te, Ne]] : [[H, Ne], [V, we]]; + } + function U(Z, H) { + for (var te = 0; te < Z.length; te++) + Z[te].push(...Array(H - Z[te].length).fill(0)); + for (var be = Z.length; be < H; be++) + Z.push(Array(H).fill(0)), Z[be][be] = 1; + return Z; + } + function k(Z, H) { + for (var te = [], be = 0; be < H; be++) + te[be] = Array(H).fill(0); + var K = 0; + for (var ce of Z) { + for (var de = ce.length, ue = 0; ue < de; ue++) + for (var ve = 0; ve < de; ve++) + te[K + ue][K + ve] = ce[ue][ve]; + K += de; + } + return te; + } + function L(Z, H, te) { + for (var be = 0; be < Z.length; be++) + if (te(Z[be], H)) + return be; + return -1; + } + function R(Z, H, te, be, K) { + for (var ce = K === "BigNumber" ? f(1e3) : 1e3, de, ue = 0; ue < 5; ++ue) { + de = G(H, te, K); + try { + de = v(Z, de); + } catch { + continue; + } + if (x(W(de), ce)) + break; + } + if (ue >= 5) + return null; + for (ue = 0; ; ) { + var ve = v(Z, de); + if (E(W(P(de, [ve])), be)) + break; + if (++ue >= 10) + return null; + de = le(ve); + } + return de; + } + function G(Z, H, te) { + var be = te === "BigNumber", K = te === "Complex", ce = Array(Z).fill(0).map((de) => 2 * Math.random() - 1); + return be && (ce = ce.map((de) => f(de))), K && (ce = ce.map((de) => C(de))), ce = P(ce, H), le(ce, te); + } + function P(Z, H) { + var te = c(Z); + for (var be of H) + be = h(be, te), Z = r(Z, a(o(A(be, Z), A(be, be)), be)); + return Z; + } + function W(Z) { + return u(p(A(Z, Z))); + } + function le(Z, H) { + var te = H === "BigNumber", be = H === "Complex", K = te ? f(1) : be ? C(1) : 1; + return a(o(K, W(Z)), Z); + } + return M; +} +function H8(t) { + var { + config: e, + addScalar: r, + subtract: n, + abs: a, + atan: s, + cos: o, + sin: p, + multiplyScalar: u, + inv: f, + bignumber: l, + multiply: c, + add: h + } = t; + function d(O, T) { + var I = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : e.relTol, q = arguments.length > 3 ? arguments[3] : void 0, $ = arguments.length > 4 ? arguments[4] : void 0; + if (q === "number") + return g(O, I, $); + if (q === "BigNumber") + return v(O, I, $); + throw TypeError("Unsupported data type: " + q); + } + function g(O, T, I) { + var q = O.length, $ = Math.abs(T / q), U, k; + if (I) { + k = new Array(q); + for (var L = 0; L < q; L++) + k[L] = Array(q).fill(0), k[L][L] = 1; + } + for (var R = A(O); Math.abs(R[1]) >= Math.abs($); ) { + var G = R[0][0], P = R[0][1]; + U = N(O[G][G], O[P][P], O[G][P]), O = D(O, U, G, P), I && (k = C(k, U, G, P)), R = A(O); + } + for (var W = Array(q).fill(0), le = 0; le < q; le++) + W[le] = O[le][le]; + return _(nt(W), k, I); + } + function v(O, T, I) { + var q = O.length, $ = a(T / q), U, k; + if (I) { + k = new Array(q); + for (var L = 0; L < q; L++) + k[L] = Array(q).fill(0), k[L][L] = 1; + } + for (var R = M(O); a(R[1]) >= a($); ) { + var G = R[0][0], P = R[0][1]; + U = b(O[G][G], O[P][P], O[G][P]), O = E(O, U, G, P), I && (k = x(k, U, G, P)), R = M(O); + } + for (var W = Array(q).fill(0), le = 0; le < q; le++) + W[le] = O[le][le]; + return _(nt(W), k, I); + } + function N(O, T, I) { + var q = T - O; + return Math.abs(q) <= e.relTol ? Math.PI / 4 : 0.5 * Math.atan(2 * I / (T - O)); + } + function b(O, T, I) { + var q = n(T, O); + return a(q) <= e.relTol ? l(-1).acos().div(4) : u(0.5, s(c(2, I, f(q)))); + } + function C(O, T, I, q) { + for (var $ = O.length, U = Math.cos(T), k = Math.sin(T), L = Array($).fill(0), R = Array($).fill(0), G = 0; G < $; G++) + L[G] = U * O[G][I] - k * O[G][q], R[G] = k * O[G][I] + U * O[G][q]; + for (var P = 0; P < $; P++) + O[P][I] = L[P], O[P][q] = R[P]; + return O; + } + function x(O, T, I, q) { + for (var $ = O.length, U = o(T), k = p(T), L = Array($).fill(l(0)), R = Array($).fill(l(0)), G = 0; G < $; G++) + L[G] = n(u(U, O[G][I]), u(k, O[G][q])), R[G] = r(u(k, O[G][I]), u(U, O[G][q])); + for (var P = 0; P < $; P++) + O[P][I] = L[P], O[P][q] = R[P]; + return O; + } + function E(O, T, I, q) { + for (var $ = O.length, U = l(o(T)), k = l(p(T)), L = u(U, U), R = u(k, k), G = Array($).fill(l(0)), P = Array($).fill(l(0)), W = c(l(2), U, k, O[I][q]), le = r(n(u(L, O[I][I]), W), u(R, O[q][q])), Z = h(u(R, O[I][I]), W, u(L, O[q][q])), H = 0; H < $; H++) + G[H] = n(u(U, O[I][H]), u(k, O[q][H])), P[H] = r(u(k, O[I][H]), u(U, O[q][H])); + O[I][I] = le, O[q][q] = Z, O[I][q] = l(0), O[q][I] = l(0); + for (var te = 0; te < $; te++) + te !== I && te !== q && (O[I][te] = G[te], O[te][I] = G[te], O[q][te] = P[te], O[te][q] = P[te]); + return O; + } + function D(O, T, I, q) { + for (var $ = O.length, U = Math.cos(T), k = Math.sin(T), L = U * U, R = k * k, G = Array($).fill(0), P = Array($).fill(0), W = L * O[I][I] - 2 * U * k * O[I][q] + R * O[q][q], le = R * O[I][I] + 2 * U * k * O[I][q] + L * O[q][q], Z = 0; Z < $; Z++) + G[Z] = U * O[I][Z] - k * O[q][Z], P[Z] = k * O[I][Z] + U * O[q][Z]; + O[I][I] = W, O[q][q] = le, O[I][q] = 0, O[q][I] = 0; + for (var H = 0; H < $; H++) + H !== I && H !== q && (O[I][H] = G[H], O[H][I] = G[H], O[q][H] = P[H], O[H][q] = P[H]); + return O; + } + function A(O) { + for (var T = O.length, I = 0, q = [0, 1], $ = 0; $ < T; $++) + for (var U = $ + 1; U < T; U++) + Math.abs(I) < Math.abs(O[$][U]) && (I = Math.abs(O[$][U]), q = [$, U]); + return [q, I]; + } + function M(O) { + for (var T = O.length, I = 0, q = [0, 1], $ = 0; $ < T; $++) + for (var U = $ + 1; U < T; U++) + a(I) < a(O[$][U]) && (I = a(O[$][U]), q = [$, U]); + return [q, I]; + } + function _(O, T, I) { + var q = O.length, $ = Array(q), U; + if (I) { + U = Array(q); + for (var k = 0; k < q; k++) + U[k] = Array(q); + } + for (var L = 0; L < q; L++) { + for (var R = 0, G = O[0], P = 0; P < O.length; P++) + a(O[P]) < a(G) && (R = P, G = O[R]); + if ($[L] = O.splice(R, 1)[0], I) + for (var W = 0; W < q; W++) + U[L][W] = T[W][R], T[W].splice(R, 1); + } + if (!I) return { + values: $ + }; + var le = U.map((Z, H) => ({ + value: $[H], + vector: Z + })); + return { + values: $, + eigenvectors: le + }; + } + return d; +} +var Q8 = "eigs", V8 = ["config", "typed", "matrix", "addScalar", "equal", "subtract", "abs", "atan", "cos", "sin", "multiplyScalar", "divideScalar", "inv", "bignumber", "multiply", "add", "larger", "column", "flatten", "number", "complex", "sqrt", "diag", "size", "reshape", "qr", "usolve", "usolveAll", "im", "re", "smaller", "matrixFromColumns", "dot"], Mf = /* @__PURE__ */ j(Q8, V8, (t) => { + var { + config: e, + typed: r, + matrix: n, + addScalar: a, + subtract: s, + equal: o, + abs: p, + atan: u, + cos: f, + sin: l, + multiplyScalar: c, + divideScalar: h, + inv: d, + bignumber: g, + multiply: v, + add: N, + larger: b, + column: C, + flatten: x, + number: E, + complex: D, + sqrt: A, + diag: M, + size: _, + reshape: O, + qr: T, + usolve: I, + usolveAll: q, + im: $, + re: U, + smaller: k, + matrixFromColumns: L, + dot: R + } = t, G = H8({ + config: e, + addScalar: a, + subtract: s, + column: C, + flatten: x, + equal: o, + abs: p, + atan: u, + cos: f, + sin: l, + multiplyScalar: c, + inv: d, + bignumber: g, + complex: D, + multiply: v, + add: N + }), P = G8({ + config: e, + addScalar: a, + subtract: s, + multiply: v, + multiplyScalar: c, + flatten: x, + divideScalar: h, + sqrt: A, + abs: p, + bignumber: g, + diag: M, + size: _, + reshape: O, + qr: T, + inv: d, + usolve: I, + usolveAll: q, + equal: o, + complex: D, + larger: b, + smaller: k, + matrixFromColumns: L, + dot: R + }); + return r("eigs", { + // The conversion to matrix in the first two implementations, + // just to convert back to an array right away in + // computeValuesAndVectors, is unfortunate, and should perhaps be + // streamlined. It is done because the Matrix object carries some + // type information about its entries, and so constructing the matrix + // is a roundabout way of doing type detection. + Array: function(ce) { + return W(n(ce)); + }, + "Array, number|BigNumber": function(ce, de) { + return W(n(ce), { + precision: de + }); + }, + "Array, Object"(K, ce) { + return W(n(K), ce); + }, + Matrix: function(ce) { + return W(ce, { + matricize: !0 + }); + }, + "Matrix, number|BigNumber": function(ce, de) { + return W(ce, { + precision: de, + matricize: !0 + }); + }, + "Matrix, Object": function(ce, de) { + var ue = { + matricize: !0 + }; + return hr(ue, de), W(ce, ue); + } + }); + function W(K) { + var ce, de = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : {}, ue = "eigenvectors" in de ? de.eigenvectors : !0, ve = (ce = de.precision) !== null && ce !== void 0 ? ce : e.relTol, he = le(K, ve, ue); + return de.matricize && (he.values = n(he.values), ue && (he.eigenvectors = he.eigenvectors.map((Ne) => { + var { + value: we, + vector: Se + } = Ne; + return { + value: we, + vector: n(Se) + }; + }))), ue && Object.defineProperty(he, "vectors", { + enumerable: !1, + // to make sure that the eigenvectors can still be + // converted to string. + get: () => { + throw new Error("eigs(M).vectors replaced with eigs(M).eigenvectors"); + } + }), he; + } + function le(K, ce, de) { + var ue = K.toArray(), ve = K.size(); + if (ve.length !== 2 || ve[0] !== ve[1]) + throw new RangeError("Matrix must be square (size: ".concat(Dt(ve), ")")); + var he = ve[0]; + if (H(ue, he, ce) && (te(ue, he), Z(ue, he, ce))) { + var Ne = be(K, ue, he); + return G(ue, he, ce, Ne, de); + } + var we = be(K, ue, he); + return P(ue, he, ce, we, de); + } + function Z(K, ce, de) { + for (var ue = 0; ue < ce; ue++) + for (var ve = ue; ve < ce; ve++) + if (b(g(p(s(K[ue][ve], K[ve][ue]))), de)) + return !1; + return !0; + } + function H(K, ce, de) { + for (var ue = 0; ue < ce; ue++) + for (var ve = 0; ve < ce; ve++) + if (b(g(p($(K[ue][ve]))), de)) + return !1; + return !0; + } + function te(K, ce) { + for (var de = 0; de < ce; de++) + for (var ue = 0; ue < ce; ue++) + K[de][ue] = U(K[de][ue]); + } + function be(K, ce, de) { + var ue = K.datatype(); + if (ue === "number" || ue === "BigNumber" || ue === "Complex") + return ue; + for (var ve = !1, he = !1, Ne = !1, we = 0; we < de; we++) + for (var Se = 0; Se < de; Se++) { + var V = ce[we][Se]; + if (ht(V) || Fi(V)) + ve = !0; + else if (ct(V)) + he = !0; + else if (Mn(V)) + Ne = !0; + else + throw TypeError("Unsupported type in Matrix: " + Vt(V)); + } + if (he && Ne && console.warn("Complex BigNumbers not supported, this operation will lose precission."), Ne) { + for (var re = 0; re < de; re++) + for (var pe = 0; pe < de; pe++) + ce[re][pe] = D(ce[re][pe]); + return "Complex"; + } + if (he) { + for (var X = 0; X < de; X++) + for (var ie = 0; ie < de; ie++) + ce[X][ie] = g(ce[X][ie]); + return "BigNumber"; + } + if (ve) { + for (var me = 0; me < de; me++) + for (var Ae = 0; Ae < de; Ae++) + ce[me][Ae] = E(ce[me][Ae]); + return "number"; + } else + throw TypeError("Matrix contains unsupported types only."); + } +}), bb = "expm", W8 = ["typed", "abs", "add", "identity", "inv", "multiply"], Of = /* @__PURE__ */ j(bb, W8, (t) => { + var { + typed: e, + abs: r, + add: n, + identity: a, + inv: s, + multiply: o + } = t; + return e(bb, { + Matrix: function(c) { + var h = c.size(); + if (h.length !== 2 || h[0] !== h[1]) + throw new RangeError("Matrix must be square (size: " + Dt(h) + ")"); + for (var d = h[0], g = 1e-15, v = p(c), N = u(v, g), b = N.q, C = N.j, x = o(c, Math.pow(2, -C)), E = a(d), D = a(d), A = 1, M = x, _ = -1, O = 1; O <= b; O++) + O > 1 && (M = o(M, x), _ = -_), A = A * (b - O + 1) / ((2 * b - O + 1) * O), E = n(E, o(A, M)), D = n(D, o(A * _, M)); + for (var T = o(s(D), E), I = 0; I < C; I++) + T = o(T, T); + return oi(c) ? c.createSparseMatrix(T) : T; + } + }); + function p(l) { + for (var c = l.size()[0], h = 0, d = 0; d < c; d++) { + for (var g = 0, v = 0; v < c; v++) + g += r(l.get([d, v])); + h = Math.max(g, h); + } + return h; + } + function u(l, c) { + for (var h = 30, d = 0; d < h; d++) + for (var g = 0; g <= d; g++) { + var v = d - g; + if (f(l, g, v) < c) + return { + q: g, + j: v + }; + } + throw new Error("Could not find acceptable parameters to compute the matrix exponential (try increasing maxSearchSize in expm.js)"); + } + function f(l, c, h) { + for (var d = 1, g = 2; g <= c; g++) + d *= g; + for (var v = d, N = c + 1; N <= 2 * c; N++) + v *= N; + var b = v * (2 * c + 1); + return 8 * Math.pow(l / Math.pow(2, h), 2 * c) * d * d / (v * b); + } +}), wb = "sqrtm", j8 = ["typed", "abs", "add", "multiply", "map", "sqrt", "subtract", "inv", "size", "max", "identity"], Ff = /* @__PURE__ */ j(wb, j8, (t) => { + var { + typed: e, + abs: r, + add: n, + multiply: a, + map: s, + sqrt: o, + subtract: p, + inv: u, + size: f, + max: l, + identity: c + } = t, h = 1e3, d = 1e-6; + function g(v) { + var N, b = 0, C = v, x = c(f(v)); + do { + var E = C; + if (C = a(0.5, n(E, u(x))), x = a(0.5, n(x, u(E))), N = l(r(p(C, E))), N > d && ++b > h) + throw new Error("computing square root of matrix: iterative method could not converge"); + } while (N > d); + return C; + } + return e(wb, { + "Array | Matrix": function(N) { + var b = tt(N) ? N.size() : gt(N); + switch (b.length) { + case 1: + if (b[0] === 1) + return s(N, o); + throw new RangeError("Matrix must be square (size: " + Dt(b) + ")"); + case 2: { + var C = b[0], x = b[1]; + if (C === x) + return g(N); + throw new RangeError("Matrix must be square (size: " + Dt(b) + ")"); + } + default: + throw new RangeError("Matrix must be at most two dimensional (size: " + Dt(b) + ")"); + } + } + }); +}), Nb = "sylvester", Z8 = ["typed", "schur", "matrixFromColumns", "matrix", "multiply", "range", "concat", "transpose", "index", "subset", "add", "subtract", "identity", "lusolve", "abs"], qf = /* @__PURE__ */ j(Nb, Z8, (t) => { + var { + typed: e, + schur: r, + matrixFromColumns: n, + matrix: a, + multiply: s, + range: o, + concat: p, + transpose: u, + index: f, + subset: l, + add: c, + subtract: h, + identity: d, + lusolve: g, + abs: v + } = t; + return e(Nb, { + "Matrix, Matrix, Matrix": N, + "Array, Matrix, Matrix": function(C, x, E) { + return N(a(C), x, E); + }, + "Array, Array, Matrix": function(C, x, E) { + return N(a(C), a(x), E); + }, + "Array, Matrix, Array": function(C, x, E) { + return N(a(C), x, a(E)); + }, + "Matrix, Array, Matrix": function(C, x, E) { + return N(C, a(x), E); + }, + "Matrix, Array, Array": function(C, x, E) { + return N(C, a(x), a(E)); + }, + "Matrix, Matrix, Array": function(C, x, E) { + return N(C, x, a(E)); + }, + "Array, Array, Array": function(C, x, E) { + return N(a(C), a(x), a(E)).toArray(); + } + }); + function N(b, C, x) { + for (var E = C.size()[0], D = b.size()[0], A = r(b), M = A.T, _ = A.U, O = r(s(-1, C)), T = O.T, I = O.U, q = s(s(u(_), x), I), $ = o(0, D), U = [], k = (Ne, we) => p(Ne, we, 1), L = (Ne, we) => p(Ne, we, 0), R = 0; R < E; R++) + if (R < E - 1 && v(l(T, f(R + 1, R))) > 1e-5) { + for (var G = L(l(q, f($, R)), l(q, f($, R + 1))), P = 0; P < R; P++) + G = c(G, L(s(U[P], l(T, f(P, R))), s(U[P], l(T, f(P, R + 1))))); + var W = s(d(D), s(-1, l(T, f(R, R)))), le = s(d(D), s(-1, l(T, f(R + 1, R)))), Z = s(d(D), s(-1, l(T, f(R, R + 1)))), H = s(d(D), s(-1, l(T, f(R + 1, R + 1)))), te = L(k(c(M, W), le), k(Z, c(M, H))), be = g(te, G); + U[R] = be.subset(f(o(0, D), 0)), U[R + 1] = be.subset(f(o(D, 2 * D), 0)), R++; + } else { + for (var K = l(q, f($, R)), ce = 0; ce < R; ce++) + K = c(K, s(U[ce], l(T, f(ce, R)))); + var de = l(T, f(R, R)), ue = h(M, s(de, d(D))); + U[R] = g(ue, K); + } + var ve = a(n(...U)), he = s(_, s(ve, u(I))); + return he; + } +}), Db = "schur", J8 = ["typed", "matrix", "identity", "multiply", "qr", "norm", "subtract"], If = /* @__PURE__ */ j(Db, J8, (t) => { + var { + typed: e, + matrix: r, + identity: n, + multiply: a, + qr: s, + norm: o, + subtract: p + } = t; + return e(Db, { + Array: function(l) { + var c = u(r(l)); + return { + U: c.U.valueOf(), + T: c.T.valueOf() + }; + }, + Matrix: function(l) { + return u(l); + } + }); + function u(f) { + var l = f.size()[0], c = f, h = n(l), d = 0, g; + do { + g = c; + var v = s(c), N = v.Q, b = v.R; + if (c = a(b, N), h = a(h, N), d++ > 100) + break; + } while (o(p(c, g)) > 1e-4); + return { + U: h, + T: c + }; + } +}), Ab = "lyap", Y8 = ["typed", "matrix", "sylvester", "multiply", "transpose"], Bf = /* @__PURE__ */ j(Ab, Y8, (t) => { + var { + typed: e, + matrix: r, + sylvester: n, + multiply: a, + transpose: s + } = t; + return e(Ab, { + "Matrix, Matrix": function(p, u) { + return n(p, s(p), a(-1, u)); + }, + "Array, Matrix": function(p, u) { + return n(r(p), s(r(p)), a(-1, u)); + }, + "Matrix, Array": function(p, u) { + return n(p, s(r(p)), r(a(-1, u))); + }, + "Array, Array": function(p, u) { + return n(r(p), s(r(p)), r(a(-1, u))).toArray(); + } + }); +}), X8 = "divide", K8 = ["typed", "matrix", "multiply", "equalScalar", "divideScalar", "inv"], Rf = /* @__PURE__ */ j(X8, K8, (t) => { + var { + typed: e, + matrix: r, + multiply: n, + equalScalar: a, + divideScalar: s, + inv: o + } = t, p = Pr({ + typed: e, + equalScalar: a + }), u = zn({ + typed: e + }); + return e("divide", d2({ + // we extend the signatures of divideScalar with signatures dealing with matrices + "Array | Matrix, Array | Matrix": function(l, c) { + return n(l, o(c)); + }, + "DenseMatrix, any": function(l, c) { + return u(l, c, s, !1); + }, + "SparseMatrix, any": function(l, c) { + return p(l, c, s, !1); + }, + "Array, any": function(l, c) { + return u(r(l), c, s, !1).valueOf(); + }, + "any, Array | Matrix": function(l, c) { + return n(l, o(c)); + } + }, s.signatures)); +}), Eb = "distance", e7 = ["typed", "addScalar", "subtractScalar", "divideScalar", "multiplyScalar", "deepEqual", "sqrt", "abs"], Lf = /* @__PURE__ */ j(Eb, e7, (t) => { + var { + typed: e, + addScalar: r, + subtractScalar: n, + multiplyScalar: a, + divideScalar: s, + deepEqual: o, + sqrt: p, + abs: u + } = t; + return e(Eb, { + "Array, Array, Array": function(D, A, M) { + if (D.length === 2 && A.length === 2 && M.length === 2) { + if (!l(D)) + throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument"); + if (!l(A)) + throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument"); + if (!l(M)) + throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument"); + if (o(A, M)) + throw new TypeError("LinePoint1 should not be same with LinePoint2"); + var _ = n(M[1], A[1]), O = n(A[0], M[0]), T = n(a(M[0], A[1]), a(A[0], M[1])); + return N(D[0], D[1], _, O, T); + } else + throw new TypeError("Invalid Arguments: Try again"); + }, + "Object, Object, Object": function(D, A, M) { + if (Object.keys(D).length === 2 && Object.keys(A).length === 2 && Object.keys(M).length === 2) { + if (!l(D)) + throw new TypeError("Values of pointX and pointY should be numbers or BigNumbers"); + if (!l(A)) + throw new TypeError("Values of lineOnePtX and lineOnePtY should be numbers or BigNumbers"); + if (!l(M)) + throw new TypeError("Values of lineTwoPtX and lineTwoPtY should be numbers or BigNumbers"); + if (o(g(A), g(M))) + throw new TypeError("LinePoint1 should not be same with LinePoint2"); + if ("pointX" in D && "pointY" in D && "lineOnePtX" in A && "lineOnePtY" in A && "lineTwoPtX" in M && "lineTwoPtY" in M) { + var _ = n(M.lineTwoPtY, A.lineOnePtY), O = n(A.lineOnePtX, M.lineTwoPtX), T = n(a(M.lineTwoPtX, A.lineOnePtY), a(A.lineOnePtX, M.lineTwoPtY)); + return N(D.pointX, D.pointY, _, O, T); + } else + throw new TypeError("Key names do not match"); + } else + throw new TypeError("Invalid Arguments: Try again"); + }, + "Array, Array": function(D, A) { + if (D.length === 2 && A.length === 3) { + if (!l(D)) + throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument"); + if (!c(A)) + throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument"); + return N(D[0], D[1], A[0], A[1], A[2]); + } else if (D.length === 3 && A.length === 6) { + if (!c(D)) + throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument"); + if (!d(A)) + throw new TypeError("Array with 6 numbers or BigNumbers expected for second argument"); + return b(D[0], D[1], D[2], A[0], A[1], A[2], A[3], A[4], A[5]); + } else if (D.length === A.length && D.length > 0) { + if (!h(D)) + throw new TypeError("All values of an array should be numbers or BigNumbers"); + if (!h(A)) + throw new TypeError("All values of an array should be numbers or BigNumbers"); + return C(D, A); + } else + throw new TypeError("Invalid Arguments: Try again"); + }, + "Object, Object": function(D, A) { + if (Object.keys(D).length === 2 && Object.keys(A).length === 3) { + if (!l(D)) + throw new TypeError("Values of pointX and pointY should be numbers or BigNumbers"); + if (!c(A)) + throw new TypeError("Values of xCoeffLine, yCoeffLine and constant should be numbers or BigNumbers"); + if ("pointX" in D && "pointY" in D && "xCoeffLine" in A && "yCoeffLine" in A && "constant" in A) + return N(D.pointX, D.pointY, A.xCoeffLine, A.yCoeffLine, A.constant); + throw new TypeError("Key names do not match"); + } else if (Object.keys(D).length === 3 && Object.keys(A).length === 6) { + if (!c(D)) + throw new TypeError("Values of pointX, pointY and pointZ should be numbers or BigNumbers"); + if (!d(A)) + throw new TypeError("Values of x0, y0, z0, a, b and c should be numbers or BigNumbers"); + if ("pointX" in D && "pointY" in D && "x0" in A && "y0" in A && "z0" in A && "a" in A && "b" in A && "c" in A) + return b(D.pointX, D.pointY, D.pointZ, A.x0, A.y0, A.z0, A.a, A.b, A.c); + throw new TypeError("Key names do not match"); + } else if (Object.keys(D).length === 2 && Object.keys(A).length === 2) { + if (!l(D)) + throw new TypeError("Values of pointOneX and pointOneY should be numbers or BigNumbers"); + if (!l(A)) + throw new TypeError("Values of pointTwoX and pointTwoY should be numbers or BigNumbers"); + if ("pointOneX" in D && "pointOneY" in D && "pointTwoX" in A && "pointTwoY" in A) + return C([D.pointOneX, D.pointOneY], [A.pointTwoX, A.pointTwoY]); + throw new TypeError("Key names do not match"); + } else if (Object.keys(D).length === 3 && Object.keys(A).length === 3) { + if (!c(D)) + throw new TypeError("Values of pointOneX, pointOneY and pointOneZ should be numbers or BigNumbers"); + if (!c(A)) + throw new TypeError("Values of pointTwoX, pointTwoY and pointTwoZ should be numbers or BigNumbers"); + if ("pointOneX" in D && "pointOneY" in D && "pointOneZ" in D && "pointTwoX" in A && "pointTwoY" in A && "pointTwoZ" in A) + return C([D.pointOneX, D.pointOneY, D.pointOneZ], [A.pointTwoX, A.pointTwoY, A.pointTwoZ]); + throw new TypeError("Key names do not match"); + } else + throw new TypeError("Invalid Arguments: Try again"); + }, + Array: function(D) { + if (!v(D)) + throw new TypeError("Incorrect array format entered for pairwise distance calculation"); + return x(D); + } + }); + function f(E) { + return typeof E == "number" || ct(E); + } + function l(E) { + return E.constructor !== Array && (E = g(E)), f(E[0]) && f(E[1]); + } + function c(E) { + return E.constructor !== Array && (E = g(E)), f(E[0]) && f(E[1]) && f(E[2]); + } + function h(E) { + return Array.isArray(E) || (E = g(E)), E.every(f); + } + function d(E) { + return E.constructor !== Array && (E = g(E)), f(E[0]) && f(E[1]) && f(E[2]) && f(E[3]) && f(E[4]) && f(E[5]); + } + function g(E) { + for (var D = Object.keys(E), A = [], M = 0; M < D.length; M++) + A.push(E[D[M]]); + return A; + } + function v(E) { + if (E[0].length === 2 && f(E[0][0]) && f(E[0][1])) { + if (E.some((D) => D.length !== 2 || !f(D[0]) || !f(D[1]))) + return !1; + } else if (E[0].length === 3 && f(E[0][0]) && f(E[0][1]) && f(E[0][2])) { + if (E.some((D) => D.length !== 3 || !f(D[0]) || !f(D[1]) || !f(D[2]))) + return !1; + } else + return !1; + return !0; + } + function N(E, D, A, M, _) { + var O = u(r(r(a(A, E), a(M, D)), _)), T = p(r(a(A, A), a(M, M))); + return s(O, T); + } + function b(E, D, A, M, _, O, T, I, q) { + var $ = [n(a(n(_, D), q), a(n(O, A), I)), n(a(n(O, A), T), a(n(M, E), q)), n(a(n(M, E), I), a(n(_, D), T))]; + $ = p(r(r(a($[0], $[0]), a($[1], $[1])), a($[2], $[2]))); + var U = p(r(r(a(T, T), a(I, I)), a(q, q))); + return s($, U); + } + function C(E, D) { + for (var A = E.length, M = 0, _ = 0, O = 0; O < A; O++) + _ = n(E[O], D[O]), M = r(a(_, _), M); + return p(M); + } + function x(E) { + for (var D = [], A = [], M = [], _ = 0; _ < E.length - 1; _++) + for (var O = _ + 1; O < E.length; O++) + E[0].length === 2 ? (A = [E[_][0], E[_][1]], M = [E[O][0], E[O][1]]) : E[0].length === 3 && (A = [E[_][0], E[_][1], E[_][2]], M = [E[O][0], E[O][1], E[O][2]]), D.push(C(A, M)); + return D; + } +}), t7 = "intersect", r7 = ["typed", "config", "abs", "add", "addScalar", "matrix", "multiply", "multiplyScalar", "divideScalar", "subtract", "smaller", "equalScalar", "flatten", "isZero", "isNumeric"], Pf = /* @__PURE__ */ j(t7, r7, (t) => { + var { + typed: e, + config: r, + abs: n, + add: a, + addScalar: s, + matrix: o, + multiply: p, + multiplyScalar: u, + divideScalar: f, + subtract: l, + smaller: c, + equalScalar: h, + flatten: d, + isZero: g, + isNumeric: v + } = t; + return e("intersect", { + "Array, Array, Array": N, + "Array, Array, Array, Array": b, + "Matrix, Matrix, Matrix": function(I, q, $) { + var U = N(I.valueOf(), q.valueOf(), $.valueOf()); + return U === null ? null : o(U); + }, + "Matrix, Matrix, Matrix, Matrix": function(I, q, $, U) { + var k = b(I.valueOf(), q.valueOf(), $.valueOf(), U.valueOf()); + return k === null ? null : o(k); + } + }); + function N(T, I, q) { + if (T = C(T), I = C(I), q = C(q), !E(T)) + throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument"); + if (!E(I)) + throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument"); + if (!D(q)) + throw new TypeError("Array with 4 numbers expected as third argument"); + return O(T[0], T[1], T[2], I[0], I[1], I[2], q[0], q[1], q[2], q[3]); + } + function b(T, I, q, $) { + if (T = C(T), I = C(I), q = C(q), $ = C($), T.length === 2) { + if (!x(T)) + throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument"); + if (!x(I)) + throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument"); + if (!x(q)) + throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument"); + if (!x($)) + throw new TypeError("Array with 2 numbers or BigNumbers expected for fourth argument"); + return A(T, I, q, $); + } else if (T.length === 3) { + if (!E(T)) + throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument"); + if (!E(I)) + throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument"); + if (!E(q)) + throw new TypeError("Array with 3 numbers or BigNumbers expected for third argument"); + if (!E($)) + throw new TypeError("Array with 3 numbers or BigNumbers expected for fourth argument"); + return _(T[0], T[1], T[2], I[0], I[1], I[2], q[0], q[1], q[2], $[0], $[1], $[2]); + } else + throw new TypeError("Arrays with two or thee dimensional points expected"); + } + function C(T) { + return T.length === 1 ? T[0] : T.length > 1 && Array.isArray(T[0]) && T.every((I) => Array.isArray(I) && I.length === 1) ? d(T) : T; + } + function x(T) { + return T.length === 2 && v(T[0]) && v(T[1]); + } + function E(T) { + return T.length === 3 && v(T[0]) && v(T[1]) && v(T[2]); + } + function D(T) { + return T.length === 4 && v(T[0]) && v(T[1]) && v(T[2]) && v(T[3]); + } + function A(T, I, q, $) { + var U = T, k = q, L = l(U, I), R = l(k, $), G = l(u(L[0], R[1]), u(R[0], L[1])); + if (g(G) || c(n(G), r.relTol)) + return null; + var P = u(R[0], U[1]), W = u(R[1], U[0]), le = u(R[0], k[1]), Z = u(R[1], k[0]), H = f(s(l(l(P, W), le), Z), G); + return a(p(L, H), U); + } + function M(T, I, q, $, U, k, L, R, G, P, W, le) { + var Z = u(l(T, I), l(q, $)), H = u(l(U, k), l(L, R)), te = u(l(G, P), l(W, le)); + return s(s(Z, H), te); + } + function _(T, I, q, $, U, k, L, R, G, P, W, le) { + var Z = M(T, L, P, L, I, R, W, R, q, G, le, G), H = M(P, L, $, T, W, R, U, I, le, G, k, q), te = M(T, L, $, T, I, R, U, I, q, G, k, q), be = M(P, L, P, L, W, R, W, R, le, G, le, G), K = M($, T, $, T, U, I, U, I, k, q, k, q), ce = l(u(Z, H), u(te, be)), de = l(u(K, be), u(H, H)); + if (g(de)) return null; + var ue = f(ce, de), ve = f(s(Z, u(ue, H)), be), he = s(T, u(ue, l($, T))), Ne = s(I, u(ue, l(U, I))), we = s(q, u(ue, l(k, q))), Se = s(L, u(ve, l(P, L))), V = s(R, u(ve, l(W, R))), re = s(G, u(ve, l(le, G))); + return h(he, Se) && h(Ne, V) && h(we, re) ? [he, Ne, we] : null; + } + function O(T, I, q, $, U, k, L, R, G, P) { + var W = u(T, L), le = u($, L), Z = u(I, R), H = u(U, R), te = u(q, G), be = u(k, G), K = l(l(l(P, W), Z), te), ce = l(l(l(s(s(le, H), be), W), Z), te), de = f(K, ce), ue = s(T, u(de, l($, T))), ve = s(I, u(de, l(U, I))), he = s(q, u(de, l(k, q))); + return [ue, ve, he]; + } +}), Sb = "sum", n7 = ["typed", "config", "add", "numeric"], ao = /* @__PURE__ */ j(Sb, n7, (t) => { + var { + typed: e, + config: r, + add: n, + numeric: a + } = t; + return e(Sb, { + // sum([a, b, c, d, ...]) + "Array | Matrix": s, + // sum([a, b, c, d, ...], dim) + "Array | Matrix, number | BigNumber": o, + // sum(a, b, c, d, ...) + "...": function(u) { + if (Za(u)) + throw new TypeError("Scalar values expected in function sum"); + return s(u); + } + }); + function s(p) { + var u; + return hi(p, function(f) { + try { + u = u === void 0 ? f : n(u, f); + } catch (l) { + throw tn(l, "sum", f); + } + }), u === void 0 && (u = a(0, r.number)), typeof u == "string" && (u = a(u, Ii(u, r))), u; + } + function o(p, u) { + try { + var f = zu(p, u, n); + return f; + } catch (l) { + throw tn(l, "sum"); + } + } +}), Zo = "cumsum", i7 = ["typed", "add", "unaryPlus"], so = /* @__PURE__ */ j(Zo, i7, (t) => { + var { + typed: e, + add: r, + unaryPlus: n + } = t; + return e(Zo, { + // sum([a, b, c, d, ...]) + Array: a, + Matrix: function(f) { + return f.create(a(f.valueOf())); + }, + // sum([a, b, c, d, ...], dim) + "Array, number | BigNumber": o, + "Matrix, number | BigNumber": function(f, l) { + return f.create(o(f.valueOf(), l)); + }, + // cumsum(a, b, c, d, ...) + "...": function(f) { + if (Za(f)) + throw new TypeError("All values expected to be scalar in function cumsum"); + return a(f); + } + }); + function a(u) { + try { + return s(u); + } catch (f) { + throw tn(f, Zo); + } + } + function s(u) { + if (u.length === 0) + return []; + for (var f = [n(u[0])], l = 1; l < u.length; ++l) + f.push(r(f[l - 1], u[l])); + return f; + } + function o(u, f) { + var l = gt(u); + if (f < 0 || f >= l.length) + throw new yn(f, l.length); + try { + return p(u, f); + } catch (c) { + throw tn(c, Zo); + } + } + function p(u, f) { + var l, c, h; + if (f <= 0) { + var d = u[0][0]; + if (Array.isArray(d)) { + for (h = Y2(u), c = [], l = 0; l < h.length; l++) + c[l] = p(h[l], f - 1); + return c; + } else + return s(u); + } else { + for (c = [], l = 0; l < u.length; l++) + c[l] = p(u[l], f - 1); + return c; + } + } +}), Cb = "mean", a7 = ["typed", "add", "divide"], oo = /* @__PURE__ */ j(Cb, a7, (t) => { + var { + typed: e, + add: r, + divide: n + } = t; + return e(Cb, { + // mean([a, b, c, d, ...]) + "Array | Matrix": s, + // mean([a, b, c, d, ...], dim) + "Array | Matrix, number | BigNumber": a, + // mean(a, b, c, d, ...) + "...": function(p) { + if (Za(p)) + throw new TypeError("Scalar values expected in function mean"); + return s(p); + } + }); + function a(o, p) { + try { + var u = zu(o, p, r), f = Array.isArray(o) ? gt(o) : o.size(); + return n(u, f[p]); + } catch (l) { + throw tn(l, "mean"); + } + } + function s(o) { + var p, u = 0; + if (hi(o, function(f) { + try { + p = p === void 0 ? f : r(p, f), u++; + } catch (l) { + throw tn(l, "mean", f); + } + }), u === 0) + throw new Error("Cannot calculate the mean of an empty array"); + return n(p, u); + } +}), Tb = "median", s7 = ["typed", "add", "divide", "compare", "partitionSelect"], kf = /* @__PURE__ */ j(Tb, s7, (t) => { + var { + typed: e, + add: r, + divide: n, + compare: a, + partitionSelect: s + } = t; + function o(f) { + try { + f = Lt(f.valueOf()); + var l = f.length; + if (l === 0) + throw new Error("Cannot calculate median of an empty array"); + if (l % 2 === 0) { + for (var c = l / 2 - 1, h = s(f, c + 1), d = f[c], g = 0; g < c; ++g) + a(f[g], d) > 0 && (d = f[g]); + return u(d, h); + } else { + var v = s(f, (l - 1) / 2); + return p(v); + } + } catch (N) { + throw tn(N, "median"); + } + } + var p = e({ + "number | BigNumber | Complex | Unit": function(l) { + return l; + } + }), u = e({ + "number | BigNumber | Complex | Unit, number | BigNumber | Complex | Unit": function(l, c) { + return n(r(l, c), 2); + } + }); + return e(Tb, { + // median([a, b, c, d, ...]) + "Array | Matrix": o, + // median([a, b, c, d, ...], dim) + "Array | Matrix, number | BigNumber": function(l, c) { + throw new Error("median(A, dim) is not yet supported"); + }, + // median(a, b, c, d, ...) + "...": function(l) { + if (Za(l)) + throw new TypeError("Scalar values expected in function median"); + return o(l); + } + }); +}), _b = "mad", o7 = ["typed", "abs", "map", "median", "subtract"], $f = /* @__PURE__ */ j(_b, o7, (t) => { + var { + typed: e, + abs: r, + map: n, + median: a, + subtract: s + } = t; + return e(_b, { + // mad([a, b, c, d, ...]) + "Array | Matrix": o, + // mad(a, b, c, d, ...) + "...": function(u) { + return o(u); + } + }); + function o(p) { + if (p = Lt(p.valueOf()), p.length === 0) + throw new Error("Cannot calculate median absolute deviation (mad) of an empty array"); + try { + var u = a(p); + return a(n(p, function(f) { + return r(s(f, u)); + })); + } catch (f) { + throw f instanceof TypeError && f.message.includes("median") ? new TypeError(f.message.replace("median", "mad")) : tn(f, "mad"); + } + } +}), km = "unbiased", Mb = "variance", u7 = ["typed", "add", "subtract", "multiply", "divide", "apply", "isNaN"], uo = /* @__PURE__ */ j(Mb, u7, (t) => { + var { + typed: e, + add: r, + subtract: n, + multiply: a, + divide: s, + apply: o, + isNaN: p + } = t; + return e(Mb, { + // variance([a, b, c, d, ...]) + "Array | Matrix": function(c) { + return u(c, km); + }, + // variance([a, b, c, d, ...], normalization) + "Array | Matrix, string": u, + // variance([a, b, c, c, ...], dim) + "Array | Matrix, number | BigNumber": function(c, h) { + return f(c, h, km); + }, + // variance([a, b, c, c, ...], dim, normalization) + "Array | Matrix, number | BigNumber, string": f, + // variance(a, b, c, d, ...) + "...": function(c) { + return u(c, km); + } + }); + function u(l, c) { + var h, d = 0; + if (l.length === 0) + throw new SyntaxError("Function variance requires one or more parameters (0 provided)"); + if (hi(l, function(N) { + try { + h = h === void 0 ? N : r(h, N), d++; + } catch (b) { + throw tn(b, "variance", N); + } + }), d === 0) throw new Error("Cannot calculate variance of an empty array"); + var g = s(h, d); + if (h = void 0, hi(l, function(N) { + var b = n(N, g); + h = h === void 0 ? a(b, b) : r(h, a(b, b)); + }), p(h)) + return h; + switch (c) { + case "uncorrected": + return s(h, d); + case "biased": + return s(h, d + 1); + case "unbiased": { + var v = ct(h) ? h.mul(0) : 0; + return d === 1 ? v : s(h, d - 1); + } + default: + throw new Error('Unknown normalization "' + c + '". Choose "unbiased" (default), "uncorrected", or "biased".'); + } + } + function f(l, c, h) { + try { + if (l.length === 0) + throw new SyntaxError("Function variance requires one or more parameters (0 provided)"); + return o(l, c, (d) => u(d, h)); + } catch (d) { + throw tn(d, "variance"); + } + } +}), Ob = "quantileSeq", l7 = ["typed", "?bignumber", "add", "subtract", "divide", "multiply", "partitionSelect", "compare", "isInteger", "smaller", "smallerEq", "larger"], lo = /* @__PURE__ */ j(Ob, l7, (t) => { + var { + typed: e, + bignumber: r, + add: n, + subtract: a, + divide: s, + multiply: o, + partitionSelect: p, + compare: u, + isInteger: f, + smaller: l, + smallerEq: c, + larger: h + } = t, d = Ka({ + typed: e, + isInteger: f + }); + return e(Ob, { + "Array | Matrix, number | BigNumber": (C, x) => v(C, x, !1), + "Array | Matrix, number | BigNumber, number": (C, x, E) => g(C, x, !1, E, v), + "Array | Matrix, number | BigNumber, boolean": v, + "Array | Matrix, number | BigNumber, boolean, number": (C, x, E, D) => g(C, x, E, D, v), + "Array | Matrix, Array | Matrix": (C, x) => N(C, x, !1), + "Array | Matrix, Array | Matrix, number": (C, x, E) => g(C, x, !1, E, N), + "Array | Matrix, Array | Matrix, boolean": N, + "Array | Matrix, Array | Matrix, boolean, number": (C, x, E, D) => g(C, x, E, D, N) + }); + function g(C, x, E, D, A) { + return d(C, D, (M) => A(M, x, E)); + } + function v(C, x, E) { + var D, A = C.valueOf(); + if (l(x, 0)) + throw new Error("N/prob must be non-negative"); + if (c(x, 1)) + return ht(x) ? b(A, x, E) : r(b(A, x, E)); + if (h(x, 1)) { + if (!f(x)) + throw new Error("N must be a positive integer"); + if (h(x, 4294967295)) + throw new Error("N must be less than or equal to 2^32-1, as that is the maximum length of an Array"); + var M = n(x, 1); + D = []; + for (var _ = 0; l(_, x); _++) { + var O = s(_ + 1, M); + D.push(b(A, O, E)); + } + return ht(x) ? D : r(D); + } + } + function N(C, x, E) { + for (var D = C.valueOf(), A = x.valueOf(), M = [], _ = 0; _ < A.length; ++_) + M.push(b(D, A[_], E)); + return M; + } + function b(C, x, E) { + var D = Lt(C), A = D.length; + if (A === 0) + throw new Error("Cannot calculate quantile of an empty sequence"); + var M = ht(x) ? x * (A - 1) : x.times(A - 1), _ = ht(x) ? Math.floor(M) : M.floor().toNumber(), O = ht(x) ? M % 1 : M.minus(_); + if (f(M)) + return E ? D[M] : p(D, ht(x) ? M : M.valueOf()); + var T, I; + if (E) + T = D[_], I = D[_ + 1]; + else { + I = p(D, _ + 1), T = D[_]; + for (var q = 0; q < _; ++q) + u(D[q], T) > 0 && (T = D[q]); + } + return n(o(T, a(1, O)), o(I, O)); + } +}), Fb = "std", c7 = ["typed", "map", "sqrt", "variance"], co = /* @__PURE__ */ j(Fb, c7, (t) => { + var { + typed: e, + map: r, + sqrt: n, + variance: a + } = t; + return e(Fb, { + // std([a, b, c, d, ...]) + "Array | Matrix": s, + // std([a, b, c, d, ...], normalization) + "Array | Matrix, string": s, + // std([a, b, c, c, ...], dim) + "Array | Matrix, number | BigNumber": s, + // std([a, b, c, c, ...], dim, normalization) + "Array | Matrix, number | BigNumber, string": s, + // std(a, b, c, d, ...) + "...": function(p) { + return s(p); + } + }); + function s(o, p) { + if (o.length === 0) + throw new SyntaxError("Function std requires one or more parameters (0 provided)"); + try { + var u = a.apply(null, arguments); + return cn(u) ? r(u, n) : n(u); + } catch (f) { + throw f instanceof TypeError && f.message.includes(" variance") ? new TypeError(f.message.replace(" variance", " std")) : f; + } + } +}), qb = "corr", f7 = ["typed", "matrix", "mean", "sqrt", "sum", "add", "subtract", "multiply", "pow", "divide"], zf = /* @__PURE__ */ j(qb, f7, (t) => { + var { + typed: e, + matrix: r, + sqrt: n, + sum: a, + add: s, + subtract: o, + multiply: p, + pow: u, + divide: f + } = t; + return e(qb, { + "Array, Array": function(d, g) { + return l(d, g); + }, + "Matrix, Matrix": function(d, g) { + var v = l(d.toArray(), g.toArray()); + return Array.isArray(v) ? r(v) : v; + } + }); + function l(h, d) { + var g = []; + if (Array.isArray(h[0]) && Array.isArray(d[0])) { + if (h.length !== d.length) + throw new SyntaxError("Dimension mismatch. Array A and B must have the same length."); + for (var v = 0; v < h.length; v++) { + if (h[v].length !== d[v].length) + throw new SyntaxError("Dimension mismatch. Array A and B must have the same number of elements."); + g.push(c(h[v], d[v])); + } + return g; + } else { + if (h.length !== d.length) + throw new SyntaxError("Dimension mismatch. Array A and B must have the same number of elements."); + return c(h, d); + } + } + function c(h, d) { + var g = h.length, v = a(h), N = a(d), b = h.reduce((A, M, _) => s(A, p(M, d[_])), 0), C = a(h.map((A) => u(A, 2))), x = a(d.map((A) => u(A, 2))), E = o(p(g, b), p(v, N)), D = n(p(o(p(g, C), u(v, 2)), o(p(g, x), u(N, 2)))); + return f(E, D); + } +}), Ib = "combinations", p7 = ["typed"], Uf = /* @__PURE__ */ j(Ib, p7, (t) => { + var { + typed: e + } = t; + return e(Ib, { + "number, number": bw, + "BigNumber, BigNumber": function(n, a) { + var s = n.constructor, o, p, u = n.minus(a), f = new s(1); + if (!Bb(n) || !Bb(a)) + throw new TypeError("Positive integer value expected in function combinations"); + if (a.gt(n)) + throw new TypeError("k must be less than n in function combinations"); + if (o = f, a.lt(u)) + for (p = f; p.lte(u); p = p.plus(f)) + o = o.times(a.plus(p)).dividedBy(p); + else + for (p = f; p.lte(a); p = p.plus(f)) + o = o.times(u.plus(p)).dividedBy(p); + return o; + } + // TODO: implement support for collection in combinations + }); +}); +function Bb(t) { + return t.isInteger() && t.gte(0); +} +var Rb = "combinationsWithRep", h7 = ["typed"], Gf = /* @__PURE__ */ j(Rb, h7, (t) => { + var { + typed: e + } = t; + return e(Rb, { + "number, number": function(n, a) { + if (!Xe(n) || n < 0) + throw new TypeError("Positive integer value expected in function combinationsWithRep"); + if (!Xe(a) || a < 0) + throw new TypeError("Positive integer value expected in function combinationsWithRep"); + if (n < 1) + throw new TypeError("k must be less than or equal to n + k - 1"); + if (a < n - 1) { + var s = li(n, n + a - 1); + return s / li(1, a); + } + var o = li(a + 1, n + a - 1); + return o / li(1, n - 1); + }, + "BigNumber, BigNumber": function(n, a) { + var s = n.constructor, o, p, u = new s(1), f = n.minus(u); + if (!Lb(n) || !Lb(a)) + throw new TypeError("Positive integer value expected in function combinationsWithRep"); + if (n.lt(u)) + throw new TypeError("k must be less than or equal to n + k - 1 in function combinationsWithRep"); + if (o = u, a.lt(f)) + for (p = u; p.lte(f); p = p.plus(u)) + o = o.times(a.plus(p)).dividedBy(p); + else + for (p = u; p.lte(a); p = p.plus(u)) + o = o.times(f.plus(p)).dividedBy(p); + return o; + } + }); +}); +function Lb(t) { + return t.isInteger() && t.gte(0); +} +var Pb = "gamma", m7 = ["typed", "config", "multiplyScalar", "pow", "BigNumber", "Complex"], Hf = /* @__PURE__ */ j(Pb, m7, (t) => { + var { + typed: e, + config: r, + multiplyScalar: n, + pow: a, + BigNumber: s, + Complex: o + } = t; + function p(f) { + if (f.im === 0) + return uu(f.re); + if (f.re < 0.5) { + var l = new o(1 - f.re, -f.im), c = new o(Math.PI * f.re, Math.PI * f.im); + return new o(Math.PI).div(c.sin()).div(p(l)); + } + f = new o(f.re - 1, f.im); + for (var h = new o(Ba[0], 0), d = 1; d < Ba.length; ++d) { + var g = new o(Ba[d], 0); + h = h.add(g.div(f.add(d))); + } + var v = new o(f.re + Nw + 0.5, f.im), N = Math.sqrt(2 * Math.PI), b = v.pow(f.add(0.5)), C = v.neg().exp(); + return h.mul(N).mul(b).mul(C); + } + return e(Pb, { + number: uu, + Complex: p, + BigNumber: function(l) { + if (l.isInteger()) + return l.isNegative() || l.isZero() ? new s(1 / 0) : u(l.minus(1)); + if (!l.isFinite()) + return new s(l.isNegative() ? NaN : 1 / 0); + throw new Error("Integer BigNumber expected"); + } + }); + function u(f) { + if (f < 8) + return new s([1, 1, 2, 6, 24, 120, 720, 5040][f]); + var l = r.precision + (Math.log(f.toNumber()) | 0), c = s.clone({ + precision: l + }); + if (f % 2 === 1) + return f.times(u(new s(f - 1))); + for (var h = f, d = new c(f), g = f.toNumber(); h > 2; ) + h -= 2, g += h, d = d.times(g); + return new s(d.toPrecision(s.precision)); + } +}), kb = "lgamma", d7 = ["Complex", "typed"], Qf = /* @__PURE__ */ j(kb, d7, (t) => { + var { + Complex: e, + typed: r + } = t, n = 7, a = 7, s = [-0.029550653594771242, 0.00641025641025641, -0.0019175269175269176, 8417508417508417e-19, -5952380952380953e-19, 7936507936507937e-19, -0.002777777777777778, 0.08333333333333333]; + return r(kb, { + number: lu, + Complex: o, + BigNumber: function() { + throw new Error("mathjs doesn't yet provide an implementation of the algorithm lgamma for BigNumber"); + } + }); + function o(f) { + var l = 6.283185307179586, c = 1.1447298858494002, h = 0.1; + if (f.isNaN()) + return new e(NaN, NaN); + if (f.im === 0) + return new e(lu(f.re), 0); + if (f.re >= n || Math.abs(f.im) >= a) + return p(f); + if (f.re <= h) { + var d = oC(l, f.im) * Math.floor(0.5 * f.re + 0.25), g = f.mul(Math.PI).sin().log(), v = o(new e(1 - f.re, -f.im)); + return new e(c, d).sub(g).sub(v); + } else return f.im >= 0 ? u(f) : u(f.conjugate()).conjugate(); + } + function p(f) { + for (var l = f.sub(0.5).mul(f.log()).sub(f).add(Dw), c = new e(1, 0).div(f), h = c.div(f), d = s[0], g = s[1], v = 2 * h.re, N = h.re * h.re + h.im * h.im, b = 2; b < 8; b++) { + var C = g; + g = -N * d + s[b], d = v * d + C; + } + var x = c.mul(h.mul(d).add(g)); + return l.add(x); + } + function u(f) { + var l = 0, c = 0, h = f; + for (f = f.add(1); f.re <= n; ) { + h = h.mul(f); + var d = h.im < 0 ? 1 : 0; + d !== 0 && c === 0 && l++, c = d, f = f.add(1); + } + return p(f).sub(h.log()).sub(new e(0, l * 2 * Math.PI * 1)); + } +}), $b = "factorial", v7 = ["typed", "gamma"], Vf = /* @__PURE__ */ j($b, v7, (t) => { + var { + typed: e, + gamma: r + } = t; + return e($b, { + number: function(a) { + if (a < 0) + throw new Error("Value must be non-negative"); + return r(a + 1); + }, + BigNumber: function(a) { + if (a.isNegative()) + throw new Error("Value must be non-negative"); + return r(a.plus(1)); + }, + "Array | Matrix": e.referToSelf((n) => (a) => Nt(a, n)) + }); +}), zb = "kldivergence", g7 = ["typed", "matrix", "divide", "sum", "multiply", "map", "dotDivide", "log", "isNumeric"], Wf = /* @__PURE__ */ j(zb, g7, (t) => { + var { + typed: e, + matrix: r, + divide: n, + sum: a, + multiply: s, + map: o, + dotDivide: p, + log: u, + isNumeric: f + } = t; + return e(zb, { + "Array, Array": function(h, d) { + return l(r(h), r(d)); + }, + "Matrix, Array": function(h, d) { + return l(h, r(d)); + }, + "Array, Matrix": function(h, d) { + return l(r(h), d); + }, + "Matrix, Matrix": function(h, d) { + return l(h, d); + } + }); + function l(c, h) { + var d = h.size().length, g = c.size().length; + if (d > 1) + throw new Error("first object must be one dimensional"); + if (g > 1) + throw new Error("second object must be one dimensional"); + if (d !== g) + throw new Error("Length of two vectors must be equal"); + var v = a(c); + if (v === 0) + throw new Error("Sum of elements in first object must be non zero"); + var N = a(h); + if (N === 0) + throw new Error("Sum of elements in second object must be non zero"); + var b = n(c, a(c)), C = n(h, a(h)), x = a(s(b, o(p(b, C), (E) => u(E)))); + return f(x) ? x : Number.NaN; + } +}), Ub = "multinomial", y7 = ["typed", "add", "divide", "multiply", "factorial", "isInteger", "isPositive"], jf = /* @__PURE__ */ j(Ub, y7, (t) => { + var { + typed: e, + add: r, + divide: n, + multiply: a, + factorial: s, + isInteger: o, + isPositive: p + } = t; + return e(Ub, { + "Array | Matrix": function(f) { + var l = 0, c = 1; + return hi(f, function(h) { + if (!o(h) || !p(h)) + throw new TypeError("Positive integer value expected in function multinomial"); + l = r(l, h), c = a(c, s(h)); + }), n(s(l), c); + } + }); +}), Gb = "permutations", x7 = ["typed", "factorial"], Zf = /* @__PURE__ */ j(Gb, x7, (t) => { + var { + typed: e, + factorial: r + } = t; + return e(Gb, { + "number | BigNumber": r, + "number, number": function(a, s) { + if (!Xe(a) || a < 0) + throw new TypeError("Positive integer value expected in function permutations"); + if (!Xe(s) || s < 0) + throw new TypeError("Positive integer value expected in function permutations"); + if (s > a) + throw new TypeError("second argument k must be less than or equal to first argument n"); + return li(a - s + 1, a); + }, + "BigNumber, BigNumber": function(a, s) { + var o, p; + if (!Hb(a) || !Hb(s)) + throw new TypeError("Positive integer value expected in function permutations"); + if (s.gt(a)) + throw new TypeError("second argument k must be less than or equal to first argument n"); + var u = a.mul(0).add(1); + for (o = u, p = a.minus(s).plus(1); p.lte(a); p = p.plus(1)) + o = o.times(p); + return o; + } + // TODO: implement support for collection in permutations + }); +}); +function Hb(t) { + return t.isInteger() && t.gte(0); +} +var Bd = { exports: {} }; +Bd.exports; +(function(t) { + (function(e, r, n) { + function a(u) { + var f = this, l = p(); + f.next = function() { + var c = 2091639 * f.s0 + f.c * 23283064365386963e-26; + return f.s0 = f.s1, f.s1 = f.s2, f.s2 = c - (f.c = c | 0); + }, f.c = 1, f.s0 = l(" "), f.s1 = l(" "), f.s2 = l(" "), f.s0 -= l(u), f.s0 < 0 && (f.s0 += 1), f.s1 -= l(u), f.s1 < 0 && (f.s1 += 1), f.s2 -= l(u), f.s2 < 0 && (f.s2 += 1), l = null; + } + function s(u, f) { + return f.c = u.c, f.s0 = u.s0, f.s1 = u.s1, f.s2 = u.s2, f; + } + function o(u, f) { + var l = new a(u), c = f && f.state, h = l.next; + return h.int32 = function() { + return l.next() * 4294967296 | 0; + }, h.double = function() { + return h() + (h() * 2097152 | 0) * 11102230246251565e-32; + }, h.quick = h, c && (typeof c == "object" && s(c, l), h.state = function() { + return s(l, {}); + }), h; + } + function p() { + var u = 4022871197, f = function(l) { + l = String(l); + for (var c = 0; c < l.length; c++) { + u += l.charCodeAt(c); + var h = 0.02519603282416938 * u; + u = h >>> 0, h -= u, h *= u, u = h >>> 0, h -= u, u += h * 4294967296; + } + return (u >>> 0) * 23283064365386963e-26; + }; + return f; + } + r && r.exports ? r.exports = o : this.alea = o; + })( + ua, + t + ); +})(Bd); +var b7 = Bd.exports, Rd = { exports: {} }; +Rd.exports; +(function(t) { + (function(e, r, n) { + function a(p) { + var u = this, f = ""; + u.x = 0, u.y = 0, u.z = 0, u.w = 0, u.next = function() { + var c = u.x ^ u.x << 11; + return u.x = u.y, u.y = u.z, u.z = u.w, u.w ^= u.w >>> 19 ^ c ^ c >>> 8; + }, p === (p | 0) ? u.x = p : f += p; + for (var l = 0; l < f.length + 64; l++) + u.x ^= f.charCodeAt(l) | 0, u.next(); + } + function s(p, u) { + return u.x = p.x, u.y = p.y, u.z = p.z, u.w = p.w, u; + } + function o(p, u) { + var f = new a(p), l = u && u.state, c = function() { + return (f.next() >>> 0) / 4294967296; + }; + return c.double = function() { + do + var h = f.next() >>> 11, d = (f.next() >>> 0) / 4294967296, g = (h + d) / (1 << 21); + while (g === 0); + return g; + }, c.int32 = f.next, c.quick = c, l && (typeof l == "object" && s(l, f), c.state = function() { + return s(f, {}); + }), c; + } + r && r.exports ? r.exports = o : this.xor128 = o; + })( + ua, + t + ); +})(Rd); +var w7 = Rd.exports, Ld = { exports: {} }; +Ld.exports; +(function(t) { + (function(e, r, n) { + function a(p) { + var u = this, f = ""; + u.next = function() { + var c = u.x ^ u.x >>> 2; + return u.x = u.y, u.y = u.z, u.z = u.w, u.w = u.v, (u.d = u.d + 362437 | 0) + (u.v = u.v ^ u.v << 4 ^ (c ^ c << 1)) | 0; + }, u.x = 0, u.y = 0, u.z = 0, u.w = 0, u.v = 0, p === (p | 0) ? u.x = p : f += p; + for (var l = 0; l < f.length + 64; l++) + u.x ^= f.charCodeAt(l) | 0, l == f.length && (u.d = u.x << 10 ^ u.x >>> 4), u.next(); + } + function s(p, u) { + return u.x = p.x, u.y = p.y, u.z = p.z, u.w = p.w, u.v = p.v, u.d = p.d, u; + } + function o(p, u) { + var f = new a(p), l = u && u.state, c = function() { + return (f.next() >>> 0) / 4294967296; + }; + return c.double = function() { + do + var h = f.next() >>> 11, d = (f.next() >>> 0) / 4294967296, g = (h + d) / (1 << 21); + while (g === 0); + return g; + }, c.int32 = f.next, c.quick = c, l && (typeof l == "object" && s(l, f), c.state = function() { + return s(f, {}); + }), c; + } + r && r.exports ? r.exports = o : this.xorwow = o; + })( + ua, + t + ); +})(Ld); +var N7 = Ld.exports, Pd = { exports: {} }; +Pd.exports; +(function(t) { + (function(e, r, n) { + function a(p) { + var u = this; + u.next = function() { + var l = u.x, c = u.i, h, d; + return h = l[c], h ^= h >>> 7, d = h ^ h << 24, h = l[c + 1 & 7], d ^= h ^ h >>> 10, h = l[c + 3 & 7], d ^= h ^ h >>> 3, h = l[c + 4 & 7], d ^= h ^ h << 7, h = l[c + 7 & 7], h = h ^ h << 13, d ^= h ^ h << 9, l[c] = d, u.i = c + 1 & 7, d; + }; + function f(l, c) { + var h, d = []; + if (c === (c | 0)) + d[0] = c; + else + for (c = "" + c, h = 0; h < c.length; ++h) + d[h & 7] = d[h & 7] << 15 ^ c.charCodeAt(h) + d[h + 1 & 7] << 13; + for (; d.length < 8; ) d.push(0); + for (h = 0; h < 8 && d[h] === 0; ++h) ; + for (h == 8 ? d[7] = -1 : d[h], l.x = d, l.i = 0, h = 256; h > 0; --h) + l.next(); + } + f(u, p); + } + function s(p, u) { + return u.x = p.x.slice(), u.i = p.i, u; + } + function o(p, u) { + p == null && (p = +/* @__PURE__ */ new Date()); + var f = new a(p), l = u && u.state, c = function() { + return (f.next() >>> 0) / 4294967296; + }; + return c.double = function() { + do + var h = f.next() >>> 11, d = (f.next() >>> 0) / 4294967296, g = (h + d) / (1 << 21); + while (g === 0); + return g; + }, c.int32 = f.next, c.quick = c, l && (l.x && s(l, f), c.state = function() { + return s(f, {}); + }), c; + } + r && r.exports ? r.exports = o : this.xorshift7 = o; + })( + ua, + t + ); +})(Pd); +var D7 = Pd.exports, kd = { exports: {} }; +kd.exports; +(function(t) { + (function(e, r, n) { + function a(p) { + var u = this; + u.next = function() { + var l = u.w, c = u.X, h = u.i, d, g; + return u.w = l = l + 1640531527 | 0, g = c[h + 34 & 127], d = c[h = h + 1 & 127], g ^= g << 13, d ^= d << 17, g ^= g >>> 15, d ^= d >>> 12, g = c[h] = g ^ d, u.i = h, g + (l ^ l >>> 16) | 0; + }; + function f(l, c) { + var h, d, g, v, N, b = [], C = 128; + for (c === (c | 0) ? (d = c, c = null) : (c = c + "\0", d = 0, C = Math.max(C, c.length)), g = 0, v = -32; v < C; ++v) + c && (d ^= c.charCodeAt((v + 32) % c.length)), v === 0 && (N = d), d ^= d << 10, d ^= d >>> 15, d ^= d << 4, d ^= d >>> 13, v >= 0 && (N = N + 1640531527 | 0, h = b[v & 127] ^= d + N, g = h == 0 ? g + 1 : 0); + for (g >= 128 && (b[(c && c.length || 0) & 127] = -1), g = 127, v = 4 * 128; v > 0; --v) + d = b[g + 34 & 127], h = b[g = g + 1 & 127], d ^= d << 13, h ^= h << 17, d ^= d >>> 15, h ^= h >>> 12, b[g] = d ^ h; + l.w = N, l.X = b, l.i = g; + } + f(u, p); + } + function s(p, u) { + return u.i = p.i, u.w = p.w, u.X = p.X.slice(), u; + } + function o(p, u) { + p == null && (p = +/* @__PURE__ */ new Date()); + var f = new a(p), l = u && u.state, c = function() { + return (f.next() >>> 0) / 4294967296; + }; + return c.double = function() { + do + var h = f.next() >>> 11, d = (f.next() >>> 0) / 4294967296, g = (h + d) / (1 << 21); + while (g === 0); + return g; + }, c.int32 = f.next, c.quick = c, l && (l.X && s(l, f), c.state = function() { + return s(f, {}); + }), c; + } + r && r.exports ? r.exports = o : this.xor4096 = o; + })( + ua, + // window object or global + t + ); +})(kd); +var A7 = kd.exports, $d = { exports: {} }; +$d.exports; +(function(t) { + (function(e, r, n) { + function a(p) { + var u = this, f = ""; + u.next = function() { + var c = u.b, h = u.c, d = u.d, g = u.a; + return c = c << 25 ^ c >>> 7 ^ h, h = h - d | 0, d = d << 24 ^ d >>> 8 ^ g, g = g - c | 0, u.b = c = c << 20 ^ c >>> 12 ^ h, u.c = h = h - d | 0, u.d = d << 16 ^ h >>> 16 ^ g, u.a = g - c | 0; + }, u.a = 0, u.b = 0, u.c = -1640531527, u.d = 1367130551, p === Math.floor(p) ? (u.a = p / 4294967296 | 0, u.b = p | 0) : f += p; + for (var l = 0; l < f.length + 20; l++) + u.b ^= f.charCodeAt(l) | 0, u.next(); + } + function s(p, u) { + return u.a = p.a, u.b = p.b, u.c = p.c, u.d = p.d, u; + } + function o(p, u) { + var f = new a(p), l = u && u.state, c = function() { + return (f.next() >>> 0) / 4294967296; + }; + return c.double = function() { + do + var h = f.next() >>> 11, d = (f.next() >>> 0) / 4294967296, g = (h + d) / (1 << 21); + while (g === 0); + return g; + }, c.int32 = f.next, c.quick = c, l && (typeof l == "object" && s(l, f), c.state = function() { + return s(f, {}); + }), c; + } + r && r.exports ? r.exports = o : this.tychei = o; + })( + ua, + t + ); +})($d); +var E7 = $d.exports, Kw = { exports: {} }; +const S7 = {}, C7 = /* @__PURE__ */ Object.freeze(/* @__PURE__ */ Object.defineProperty({ + __proto__: null, + default: S7 +}, Symbol.toStringTag, { value: "Module" })), T7 = /* @__PURE__ */ mT(C7); +(function(t) { + (function(e, r, n) { + var a = 256, s = 6, o = 52, p = "random", u = n.pow(a, s), f = n.pow(2, o), l = f * 2, c = a - 1, h; + function d(E, D, A) { + var M = []; + D = D == !0 ? { entropy: !0 } : D || {}; + var _ = b(N( + D.entropy ? [E, x(r)] : E ?? C(), + 3 + ), M), O = new g(M), T = function() { + for (var I = O.g(s), q = u, $ = 0; I < f; ) + I = (I + $) * a, q *= a, $ = O.g(1); + for (; I >= l; ) + I /= 2, q /= 2, $ >>>= 1; + return (I + $) / q; + }; + return T.int32 = function() { + return O.g(4) | 0; + }, T.quick = function() { + return O.g(4) / 4294967296; + }, T.double = T, b(x(O.S), r), (D.pass || A || function(I, q, $, U) { + return U && (U.S && v(U, O), I.state = function() { + return v(O, {}); + }), $ ? (n[p] = I, q) : I; + })( + T, + _, + "global" in D ? D.global : this == n, + D.state + ); + } + function g(E) { + var D, A = E.length, M = this, _ = 0, O = M.i = M.j = 0, T = M.S = []; + for (A || (E = [A++]); _ < a; ) + T[_] = _++; + for (_ = 0; _ < a; _++) + T[_] = T[O = c & O + E[_ % A] + (D = T[_])], T[O] = D; + (M.g = function(I) { + for (var q, $ = 0, U = M.i, k = M.j, L = M.S; I--; ) + q = L[U = c & U + 1], $ = $ * a + L[c & (L[U] = L[k = c & k + q]) + (L[k] = q)]; + return M.i = U, M.j = k, $; + })(a); + } + function v(E, D) { + return D.i = E.i, D.j = E.j, D.S = E.S.slice(), D; + } + function N(E, D) { + var A = [], M = typeof E, _; + if (D && M == "object") + for (_ in E) + try { + A.push(N(E[_], D - 1)); + } catch { + } + return A.length ? A : M == "string" ? E : E + "\0"; + } + function b(E, D) { + for (var A = E + "", M, _ = 0; _ < A.length; ) + D[c & _] = c & (M ^= D[c & _] * 19) + A.charCodeAt(_++); + return x(D); + } + function C() { + try { + var E; + return h && (E = h.randomBytes) ? E = E(a) : (E = new Uint8Array(a), (e.crypto || e.msCrypto).getRandomValues(E)), x(E); + } catch { + var D = e.navigator, A = D && D.plugins; + return [+/* @__PURE__ */ new Date(), e, A, e.screen, x(r)]; + } + } + function x(E) { + return String.fromCharCode.apply(0, E); + } + if (b(n.random(), r), t.exports) { + t.exports = d; + try { + h = T7; + } catch { + } + } else + n["seed" + p] = d; + })( + // global: `self` in browsers (including strict mode and web workers), + // otherwise `this` in Node and other environments + typeof self < "u" ? self : ua, + [], + // pool: entropy pool starts empty + Math + // math: package containing random, pow, and seedrandom + ); +})(Kw); +var _7 = Kw.exports, M7 = b7, O7 = w7, F7 = N7, q7 = D7, I7 = A7, B7 = E7, ca = _7; +ca.alea = M7; +ca.xor128 = O7; +ca.xorwow = F7; +ca.xorshift7 = q7; +ca.xor4096 = I7; +ca.tychei = B7; +var R7 = ca; +const eN = /* @__PURE__ */ zs(R7); +var L7 = /* @__PURE__ */ eN(Date.now()); +function Ua(t) { + var e; + function r(a) { + e = a === null ? L7 : eN(String(a)); + } + r(t); + function n() { + return e(); + } + return n; +} +var Qb = "pickRandom", P7 = ["typed", "config", "?on"], Jf = /* @__PURE__ */ j(Qb, P7, (t) => { + var { + typed: e, + config: r, + on: n + } = t, a = Ua(r.randomSeed); + return n && n("config", function(o, p) { + o.randomSeed !== p.randomSeed && (a = Ua(o.randomSeed)); + }), e(Qb, { + "Array | Matrix": function(p) { + return s(p, {}); + }, + "Array | Matrix, Object": function(p, u) { + return s(p, u); + }, + "Array | Matrix, number": function(p, u) { + return s(p, { + number: u + }); + }, + "Array | Matrix, Array | Matrix": function(p, u) { + return s(p, { + weights: u + }); + }, + "Array | Matrix, Array | Matrix, number": function(p, u, f) { + return s(p, { + number: f, + weights: u + }); + }, + "Array | Matrix, number, Array | Matrix": function(p, u, f) { + return s(p, { + number: u, + weights: f + }); + } + }); + function s(o, p) { + var { + number: u, + weights: f, + elementWise: l = !0 + } = p, c = typeof u > "u"; + c && (u = 1); + var h = tt(o) ? o.create : tt(f) ? f.create : null; + o = o.valueOf(), f && (f = f.valueOf()), l === !0 && (o = Lt(o), f = Lt(f)); + var d = 0; + if (typeof f < "u") { + if (f.length !== o.length) + throw new Error("Weights must have the same length as possibles"); + for (var g = 0, v = f.length; g < v; g++) { + if (!ht(f[g]) || f[g] < 0) + throw new Error("Weights must be an array of positive numbers"); + d += f[g]; + } + } + for (var N = o.length, b = [], C; b.length < u; ) { + if (typeof f > "u") + C = o[Math.floor(a() * N)]; + else + for (var x = a() * d, E = 0, D = o.length; E < D; E++) + if (x -= f[E], x < 0) { + C = o[E]; + break; + } + b.push(C); + } + return c ? b[0] : h ? h(b) : b; + } +}); +function zd(t, e) { + var r = []; + if (t = t.slice(0), t.length > 1) + for (var n = 0, a = t.shift(); n < a; n++) + r.push(zd(t, e)); + else + for (var s = 0, o = t.shift(); s < o; s++) + r.push(e()); + return r; +} +var Vb = "random", k7 = ["typed", "config", "?on"], Yf = /* @__PURE__ */ j(Vb, k7, (t) => { + var { + typed: e, + config: r, + on: n + } = t, a = Ua(r.randomSeed); + return n && n("config", function(p, u) { + p.randomSeed !== u.randomSeed && (a = Ua(p.randomSeed)); + }), e(Vb, { + "": () => o(0, 1), + number: (p) => o(0, p), + "number, number": (p, u) => o(p, u), + "Array | Matrix": (p) => s(p, 0, 1), + "Array | Matrix, number": (p, u) => s(p, 0, u), + "Array | Matrix, number, number": (p, u, f) => s(p, u, f) + }); + function s(p, u, f) { + var l = zd(p.valueOf(), () => o(u, f)); + return tt(p) ? p.create(l) : l; + } + function o(p, u) { + return p + a() * (u - p); + } +}), Wb = "randomInt", $7 = ["typed", "config", "?on"], Xf = /* @__PURE__ */ j(Wb, $7, (t) => { + var { + typed: e, + config: r, + on: n + } = t, a = Ua(r.randomSeed); + return n && n("config", function(p, u) { + p.randomSeed !== u.randomSeed && (a = Ua(p.randomSeed)); + }), e(Wb, { + "": () => o(0, 1), + number: (p) => o(0, p), + "number, number": (p, u) => o(p, u), + "Array | Matrix": (p) => s(p, 0, 1), + "Array | Matrix, number": (p, u) => s(p, 0, u), + "Array | Matrix, number, number": (p, u, f) => s(p, u, f) + }); + function s(p, u, f) { + var l = zd(p.valueOf(), () => o(u, f)); + return tt(p) ? p.create(l) : l; + } + function o(p, u) { + return Math.floor(p + a() * (u - p)); + } +}), jb = "stirlingS2", z7 = ["typed", "addScalar", "subtractScalar", "multiplyScalar", "divideScalar", "pow", "factorial", "combinations", "isNegative", "isInteger", "number", "?bignumber", "larger"], Kf = /* @__PURE__ */ j(jb, z7, (t) => { + var { + typed: e, + addScalar: r, + subtractScalar: n, + multiplyScalar: a, + divideScalar: s, + pow: o, + factorial: p, + combinations: u, + isNegative: f, + isInteger: l, + number: c, + bignumber: h, + larger: d + } = t, g = [], v = []; + return e(jb, { + "number | BigNumber, number | BigNumber": function(b, C) { + if (!l(b) || f(b) || !l(C) || f(C)) + throw new TypeError("Non-negative integer value expected in function stirlingS2"); + if (d(C, b)) + throw new TypeError("k must be less than or equal to n in function stirlingS2"); + var x = !(ht(b) && ht(C)), E = x ? v : g, D = x ? h : c, A = c(b), M = c(C); + if (E[A] && E[A].length > M) + return E[A][M]; + for (var _ = 0; _ <= A; ++_) + if (E[_] || (E[_] = [D(_ === 0 ? 1 : 0)]), _ !== 0) + for (var O = E[_], T = E[_ - 1], I = O.length; I <= _ && I <= M; ++I) + I === _ ? O[I] = 1 : O[I] = r(a(D(I), T[I]), T[I - 1]); + return E[A][M]; + } + }); +}), Zb = "bellNumbers", U7 = ["typed", "addScalar", "isNegative", "isInteger", "stirlingS2"], ep = /* @__PURE__ */ j(Zb, U7, (t) => { + var { + typed: e, + addScalar: r, + isNegative: n, + isInteger: a, + stirlingS2: s + } = t; + return e(Zb, { + "number | BigNumber": function(p) { + if (!a(p) || n(p)) + throw new TypeError("Non-negative integer value expected in function bellNumbers"); + for (var u = 0, f = 0; f <= p; f++) + u = r(u, s(p, f)); + return u; + } + }); +}), Jb = "catalan", G7 = ["typed", "addScalar", "divideScalar", "multiplyScalar", "combinations", "isNegative", "isInteger"], tp = /* @__PURE__ */ j(Jb, G7, (t) => { + var { + typed: e, + addScalar: r, + divideScalar: n, + multiplyScalar: a, + combinations: s, + isNegative: o, + isInteger: p + } = t; + return e(Jb, { + "number | BigNumber": function(f) { + if (!p(f) || o(f)) + throw new TypeError("Non-negative integer value expected in function catalan"); + return n(s(a(f, 2), f), r(f, 1)); + } + }); +}), Yb = "composition", H7 = ["typed", "addScalar", "combinations", "isNegative", "isPositive", "isInteger", "larger"], rp = /* @__PURE__ */ j(Yb, H7, (t) => { + var { + typed: e, + addScalar: r, + combinations: n, + isPositive: a, + isNegative: s, + isInteger: o, + larger: p + } = t; + return e(Yb, { + "number | BigNumber, number | BigNumber": function(f, l) { + if (!o(f) || !a(f) || !o(l) || !a(l)) + throw new TypeError("Positive integer value expected in function composition"); + if (p(l, f)) + throw new TypeError("k must be less than or equal to n in function composition"); + return n(r(f, -1), r(l, -1)); + } + }); +}), Xb = "leafCount", Q7 = ["parse", "typed"], np = /* @__PURE__ */ j(Xb, Q7, (t) => { + var { + parse: e, + typed: r + } = t; + function n(a) { + var s = 0; + return a.forEach((o) => { + s += n(o); + }), s || 1; + } + return r(Xb, { + Node: function(s) { + return n(s); + } + }); +}); +function Kb(t) { + return Ct(t) || or(t) && t.isUnary() && Ct(t.args[0]); +} +function xu(t) { + return !!(Ct(t) || (Wn(t) || or(t)) && t.args.every(xu) || kn(t) && xu(t.content)); +} +function e2(t, e) { + var r = Object.keys(t); + if (Object.getOwnPropertySymbols) { + var n = Object.getOwnPropertySymbols(t); + e && (n = n.filter(function(a) { + return Object.getOwnPropertyDescriptor(t, a).enumerable; + })), r.push.apply(r, n); + } + return r; +} +function $m(t) { + for (var e = 1; e < arguments.length; e++) { + var r = arguments[e] != null ? arguments[e] : {}; + e % 2 ? e2(Object(r), !0).forEach(function(n) { + xr(t, n, r[n]); + }) : Object.getOwnPropertyDescriptors ? Object.defineProperties(t, Object.getOwnPropertyDescriptors(r)) : e2(Object(r)).forEach(function(n) { + Object.defineProperty(t, n, Object.getOwnPropertyDescriptor(r, n)); + }); + } + return t; +} +var V7 = "simplifyUtil", W7 = ["FunctionNode", "OperatorNode", "SymbolNode"], Ud = /* @__PURE__ */ j(V7, W7, (t) => { + var { + FunctionNode: e, + OperatorNode: r, + SymbolNode: n + } = t, a = !0, s = !1, o = "defaultF", p = { + /* */ + add: { + trivial: a, + total: a, + commutative: a, + associative: a + }, + /**/ + unaryPlus: { + trivial: a, + total: a, + commutative: a, + associative: a + }, + /* */ + subtract: { + trivial: s, + total: a, + commutative: s, + associative: s + }, + /* */ + multiply: { + trivial: a, + total: a, + commutative: a, + associative: a + }, + /* */ + divide: { + trivial: s, + total: a, + commutative: s, + associative: s + }, + /* */ + paren: { + trivial: a, + total: a, + commutative: a, + associative: s + }, + /* */ + defaultF: { + trivial: s, + total: a, + commutative: s, + associative: s + } + }, u = { + divide: { + total: s + }, + log: { + total: s + } + }, f = { + subtract: { + total: s + }, + abs: { + trivial: a + }, + log: { + total: a + } + }; + function l(x, E) { + var D = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : p, A = o; + if (typeof x == "string" ? A = x : or(x) ? A = x.fn.toString() : Wn(x) ? A = x.name : kn(x) && (A = "paren"), We(D, A)) { + var M = D[A]; + if (We(M, E)) + return M[E]; + if (We(p, A)) + return p[A][E]; + } + if (We(D, o)) { + var _ = D[o]; + return We(_, E) ? _[E] : p[o][E]; + } + if (We(p, A)) { + var O = p[A]; + if (We(O, E)) + return O[E]; + } + return p[o][E]; + } + function c(x) { + var E = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : p; + return l(x, "commutative", E); + } + function h(x) { + var E = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : p; + return l(x, "associative", E); + } + function d(x, E) { + var D = $m({}, x); + for (var A in E) + We(x, A) ? D[A] = $m($m({}, E[A]), x[A]) : D[A] = E[A]; + return D; + } + function g(x, E) { + if (!x.args || x.args.length === 0) + return x; + x.args = v(x, E); + for (var D = 0; D < x.args.length; D++) + g(x.args[D], E); + } + function v(x, E) { + var D, A = [], M = function _(O) { + for (var T = 0; T < O.args.length; T++) { + var I = O.args[T]; + or(I) && D === I.op ? _(I) : A.push(I); + } + }; + return h(x, E) ? (D = x.op, M(x), A) : x.args; + } + function N(x, E) { + if (!(!x.args || x.args.length === 0)) { + for (var D = C(x), A = x.args.length, M = 0; M < A; M++) + N(x.args[M], E); + if (A > 2 && h(x, E)) { + for (var _ = x.args.pop(); x.args.length > 0; ) + _ = D([x.args.pop(), _]); + x.args = _.args; + } + } + } + function b(x, E) { + if (!(!x.args || x.args.length === 0)) { + for (var D = C(x), A = x.args.length, M = 0; M < A; M++) + b(x.args[M], E); + if (A > 2 && h(x, E)) { + for (var _ = x.args.shift(); x.args.length > 0; ) + _ = D([_, x.args.shift()]); + x.args = _.args; + } + } + } + function C(x) { + return or(x) ? function(E) { + try { + return new r(x.op, x.fn, E, x.implicit); + } catch (D) { + return console.error(D), []; + } + } : function(E) { + return new e(new n(x.name), E); + }; + } + return { + createMakeNodeFunction: C, + hasProperty: l, + isCommutative: c, + isAssociative: h, + mergeContext: d, + flatten: g, + allChildren: v, + unflattenr: N, + unflattenl: b, + defaultContext: p, + realContext: u, + positiveContext: f + }; +}), j7 = "simplify", Z7 = ["config", "typed", "parse", "add", "subtract", "multiply", "divide", "pow", "isZero", "equal", "resolve", "simplifyConstant", "simplifyCore", "?fraction", "?bignumber", "mathWithTransform", "matrix", "AccessorNode", "ArrayNode", "ConstantNode", "FunctionNode", "IndexNode", "ObjectNode", "OperatorNode", "ParenthesisNode", "SymbolNode"], ip = /* @__PURE__ */ j(j7, Z7, (t) => { + var { + config: e, + typed: r, + parse: n, + add: a, + subtract: s, + multiply: o, + divide: p, + pow: u, + isZero: f, + equal: l, + resolve: c, + simplifyConstant: h, + simplifyCore: d, + fraction: g, + bignumber: v, + mathWithTransform: N, + matrix: b, + AccessorNode: C, + ArrayNode: x, + ConstantNode: E, + FunctionNode: D, + IndexNode: A, + ObjectNode: M, + OperatorNode: _, + ParenthesisNode: O, + SymbolNode: T + } = t, { + hasProperty: I, + isCommutative: q, + isAssociative: $, + mergeContext: U, + flatten: k, + unflattenr: L, + unflattenl: R, + createMakeNodeFunction: G, + defaultContext: P, + realContext: W, + positiveContext: le + } = Ud({ + FunctionNode: D, + OperatorNode: _, + SymbolNode: T + }); + r.addConversion({ + from: "Object", + to: "Map", + convert: Ia + }); + var Z = r("simplify", { + Node: ue, + "Node, Map": (X, ie) => ue(X, !1, ie), + "Node, Map, Object": (X, ie, me) => ue(X, !1, ie, me), + "Node, Array": ue, + "Node, Array, Map": ue, + "Node, Array, Map, Object": ue + }); + r.removeConversion({ + from: "Object", + to: "Map", + convert: Ia + }), Z.defaultContext = P, Z.realContext = W, Z.positiveContext = le; + function H(X) { + return X.transform(function(ie, me, Ae) { + return kn(ie) ? H(ie.content) : ie; + }); + } + var te = { + true: !0, + false: !0, + e: !0, + i: !0, + Infinity: !0, + LN2: !0, + LN10: !0, + LOG2E: !0, + LOG10E: !0, + NaN: !0, + phi: !0, + pi: !0, + SQRT1_2: !0, + SQRT2: !0, + tau: !0 + // null: false, + // undefined: false, + // version: false, + }; + Z.rules = [ + d, + // { l: 'n+0', r: 'n' }, // simplifyCore + // { l: 'n^0', r: '1' }, // simplifyCore + // { l: '0*n', r: '0' }, // simplifyCore + // { l: 'n/n', r: '1'}, // simplifyCore + // { l: 'n^1', r: 'n' }, // simplifyCore + // { l: '+n1', r:'n1' }, // simplifyCore + // { l: 'n--n1', r:'n+n1' }, // simplifyCore + { + l: "log(e)", + r: "1" + }, + // temporary rules + // Note initially we tend constants to the right because like-term + // collection prefers the left, and we would rather collect nonconstants + { + s: "n-n1 -> n+-n1", + // temporarily replace 'subtract' so we can further flatten the 'add' operator + assuming: { + subtract: { + total: !0 + } + } + }, + { + s: "n-n -> 0", + // partial alternative when we can't always subtract + assuming: { + subtract: { + total: !1 + } + } + }, + { + s: "-(cl*v) -> v * (-cl)", + // make non-constant terms positive + assuming: { + multiply: { + commutative: !0 + }, + subtract: { + total: !0 + } + } + }, + { + s: "-(cl*v) -> (-cl) * v", + // non-commutative version, part 1 + assuming: { + multiply: { + commutative: !1 + }, + subtract: { + total: !0 + } + } + }, + { + s: "-(v*cl) -> v * (-cl)", + // non-commutative version, part 2 + assuming: { + multiply: { + commutative: !1 + }, + subtract: { + total: !0 + } + } + }, + { + l: "-(n1/n2)", + r: "-n1/n2" + }, + { + l: "-v", + r: "v * (-1)" + }, + // finish making non-constant terms positive + { + l: "(n1 + n2)*(-1)", + r: "n1*(-1) + n2*(-1)", + repeat: !0 + }, + // expand negations to achieve as much sign cancellation as possible + { + l: "n/n1^n2", + r: "n*n1^-n2" + }, + // temporarily replace 'divide' so we can further flatten the 'multiply' operator + { + l: "n/n1", + r: "n*n1^-1" + }, + { + s: "(n1*n2)^n3 -> n1^n3 * n2^n3", + assuming: { + multiply: { + commutative: !0 + } + } + }, + { + s: "(n1*n2)^(-1) -> n2^(-1) * n1^(-1)", + assuming: { + multiply: { + commutative: !1 + } + } + }, + // expand nested exponentiation + { + s: "(n ^ n1) ^ n2 -> n ^ (n1 * n2)", + assuming: { + divide: { + total: !0 + } + } + // 1/(1/n) = n needs 1/n to exist + }, + // collect like factors; into a sum, only do this for nonconstants + { + l: " vd * ( vd * n1 + n2)", + r: "vd^2 * n1 + vd * n2" + }, + { + s: " vd * (vd^n4 * n1 + n2) -> vd^(1+n4) * n1 + vd * n2", + assuming: { + divide: { + total: !0 + } + } + // v*1/v = v^(1+-1) needs 1/v + }, + { + s: "vd^n3 * ( vd * n1 + n2) -> vd^(n3+1) * n1 + vd^n3 * n2", + assuming: { + divide: { + total: !0 + } + } + }, + { + s: "vd^n3 * (vd^n4 * n1 + n2) -> vd^(n3+n4) * n1 + vd^n3 * n2", + assuming: { + divide: { + total: !0 + } + } + }, + { + l: "n*n", + r: "n^2" + }, + { + s: "n * n^n1 -> n^(n1+1)", + assuming: { + divide: { + total: !0 + } + } + // n*1/n = n^(-1+1) needs 1/n + }, + { + s: "n^n1 * n^n2 -> n^(n1+n2)", + assuming: { + divide: { + total: !0 + } + } + // ditto for n^2*1/n^2 + }, + // Unfortunately, to deal with more complicated cancellations, it + // becomes necessary to simplify constants twice per pass. It's not + // terribly expensive compared to matching rules, so this should not + // pose a performance problem. + h, + // First: before collecting like terms + // collect like terms + { + s: "n+n -> 2*n", + assuming: { + add: { + total: !0 + } + } + // 2 = 1 + 1 needs to exist + }, + { + l: "n+-n", + r: "0" + }, + { + l: "vd*n + vd", + r: "vd*(n+1)" + }, + // NOTE: leftmost position is special: + { + l: "n3*n1 + n3*n2", + r: "n3*(n1+n2)" + }, + // All sub-monomials tried there. + { + l: "n3^(-n4)*n1 + n3 * n2", + r: "n3^(-n4)*(n1 + n3^(n4+1) *n2)" + }, + { + l: "n3^(-n4)*n1 + n3^n5 * n2", + r: "n3^(-n4)*(n1 + n3^(n4+n5)*n2)" + }, + // noncommutative additional cases (term collection & factoring) + { + s: "n*vd + vd -> (n+1)*vd", + assuming: { + multiply: { + commutative: !1 + } + } + }, + { + s: "vd + n*vd -> (1+n)*vd", + assuming: { + multiply: { + commutative: !1 + } + } + }, + { + s: "n1*n3 + n2*n3 -> (n1+n2)*n3", + assuming: { + multiply: { + commutative: !1 + } + } + }, + { + s: "n^n1 * n -> n^(n1+1)", + assuming: { + divide: { + total: !0 + }, + multiply: { + commutative: !1 + } + } + }, + { + s: "n1*n3^(-n4) + n2 * n3 -> (n1 + n2*n3^(n4 + 1))*n3^(-n4)", + assuming: { + multiply: { + commutative: !1 + } + } + }, + { + s: "n1*n3^(-n4) + n2 * n3^n5 -> (n1 + n2*n3^(n4 + n5))*n3^(-n4)", + assuming: { + multiply: { + commutative: !1 + } + } + }, + { + l: "n*cd + cd", + r: "(n+1)*cd" + }, + { + s: "cd*n + cd -> cd*(n+1)", + assuming: { + multiply: { + commutative: !1 + } + } + }, + { + s: "cd + cd*n -> cd*(1+n)", + assuming: { + multiply: { + commutative: !1 + } + } + }, + h, + // Second: before returning expressions to "standard form" + // make factors positive (and undo 'make non-constant terms positive') + { + s: "(-n)*n1 -> -(n*n1)", + assuming: { + subtract: { + total: !0 + } + } + }, + { + s: "n1*(-n) -> -(n1*n)", + // in case * non-commutative + assuming: { + subtract: { + total: !0 + }, + multiply: { + commutative: !1 + } + } + }, + // final ordering of constants + { + s: "ce+ve -> ve+ce", + assuming: { + add: { + commutative: !0 + } + }, + imposeContext: { + add: { + commutative: !1 + } + } + }, + { + s: "vd*cd -> cd*vd", + assuming: { + multiply: { + commutative: !0 + } + }, + imposeContext: { + multiply: { + commutative: !1 + } + } + }, + // undo temporary rules + // { l: '(-1) * n', r: '-n' }, // #811 added test which proved this is redundant + { + l: "n+-n1", + r: "n-n1" + }, + // undo replace 'subtract' + { + l: "n+-(n1)", + r: "n-(n1)" + }, + { + s: "n*(n1^-1) -> n/n1", + // undo replace 'divide'; for * commutative + assuming: { + multiply: { + commutative: !0 + } + } + // o.w. / not conventional + }, + { + s: "n*n1^-n2 -> n/n1^n2", + assuming: { + multiply: { + commutative: !0 + } + } + // o.w. / not conventional + }, + { + s: "n^-1 -> 1/n", + assuming: { + multiply: { + commutative: !0 + } + } + // o.w. / not conventional + }, + { + l: "n^1", + r: "n" + }, + // can be produced by power cancellation + { + s: "n*(n1/n2) -> (n*n1)/n2", + // '*' before '/' + assuming: { + multiply: { + associative: !0 + } + } + }, + { + s: "n-(n1+n2) -> n-n1-n2", + // '-' before '+' + assuming: { + addition: { + associative: !0, + commutative: !0 + } + } + }, + // { l: '(n1/n2)/n3', r: 'n1/(n2*n3)' }, + // { l: '(n*n1)/(n*n2)', r: 'n1/n2' }, + // simplifyConstant can leave an extra factor of 1, which can always + // be eliminated, since the identity always commutes + { + l: "1*n", + r: "n", + imposeContext: { + multiply: { + commutative: !0 + } + } + }, + { + s: "n1/(n2/n3) -> (n1*n3)/n2", + assuming: { + multiply: { + associative: !0 + } + } + }, + { + l: "n1/(-n2)", + r: "-n1/n2" + } + ]; + function be(X, ie) { + var me = {}; + if (X.s) { + var Ae = X.s.split("->"); + if (Ae.length === 2) + me.l = Ae[0], me.r = Ae[1]; + else + throw SyntaxError("Could not parse rule: " + X.s); + } else + me.l = X.l, me.r = X.r; + me.l = H(n(me.l)), me.r = H(n(me.r)); + for (var Me of ["imposeContext", "repeat", "assuming"]) + Me in X && (me[Me] = X[Me]); + if (X.evaluate && (me.evaluate = n(X.evaluate)), $(me.l, ie)) { + var Q = !q(me.l, ie), ee; + Q && (ee = de()); + var ye = G(me.l), Ee = de(); + me.expanded = {}, me.expanded.l = ye([me.l, Ee]), k(me.expanded.l, ie), L(me.expanded.l, ie), me.expanded.r = ye([me.r, Ee]), Q && (me.expandedNC1 = {}, me.expandedNC1.l = ye([ee, me.l]), me.expandedNC1.r = ye([ee, me.r]), me.expandedNC2 = {}, me.expandedNC2.l = ye([ee, me.expanded.l]), me.expandedNC2.r = ye([ee, me.expanded.r])); + } + return me; + } + function K(X, ie) { + for (var me = [], Ae = 0; Ae < X.length; Ae++) { + var Me = X[Ae], Q = void 0, ee = typeof Me; + switch (ee) { + case "string": + Me = { + s: Me + }; + case "object": + Q = be(Me, ie); + break; + case "function": + Q = Me; + break; + default: + throw TypeError("Unsupported type of rule: " + ee); + } + me.push(Q); + } + return me; + } + var ce = 0; + function de() { + return new T("_p" + ce++); + } + function ue(X, ie) { + var me = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : Os(), Ae = arguments.length > 3 && arguments[3] !== void 0 ? arguments[3] : {}, Me = Ae.consoleDebug; + ie = K(ie || Z.rules, Ae.context); + var Q = c(X, me); + Q = H(Q); + for (var ee = {}, ye = Q.toString({ + parenthesis: "all" + }); !ee[ye]; ) { + ee[ye] = !0, ce = 0; + var Ee = ye; + Me && console.log("Working on: ", ye); + for (var Ce = 0; Ce < ie.length; Ce++) { + var De = ""; + if (typeof ie[Ce] == "function" ? (Q = ie[Ce](Q, Ae), Me && (De = ie[Ce].name)) : (k(Q, Ae.context), Q = he(Q, ie[Ce], Ae.context), Me && (De = "".concat(ie[Ce].l.toString(), " -> ").concat(ie[Ce].r.toString()))), Me) { + var Oe = Q.toString({ + parenthesis: "all" + }); + Oe !== Ee && (console.log("Applying", De, "produced", Oe), Ee = Oe); + } + R(Q, Ae.context); + } + ye = Q.toString({ + parenthesis: "all" + }); + } + return Q; + } + function ve(X, ie, me) { + var Ae = X; + if (X) + for (var Me = 0; Me < X.length; ++Me) { + var Q = he(X[Me], ie, me); + Q !== X[Me] && (Ae === X && (Ae = X.slice()), Ae[Me] = Q); + } + return Ae; + } + function he(X, ie, me) { + if (ie.assuming) { + for (var Ae in ie.assuming) + for (var Me in ie.assuming[Ae]) + if (I(Ae, Me, me) !== ie.assuming[Ae][Me]) + return X; + } + var Q = U(ie.imposeContext, me), ee = X; + if (ee instanceof _ || ee instanceof D) { + var ye = ve(ee.args, ie, me); + ye !== ee.args && (ee = ee.clone(), ee.args = ye); + } else if (ee instanceof O) { + if (ee.content) { + var Ee = he(ee.content, ie, me); + Ee !== ee.content && (ee = new O(Ee)); + } + } else if (ee instanceof x) { + var Ce = ve(ee.items, ie, me); + Ce !== ee.items && (ee = new x(Ce)); + } else if (ee instanceof C) { + var De = ee.object; + ee.object && (De = he(ee.object, ie, me)); + var Oe = ee.index; + ee.index && (Oe = he(ee.index, ie, me)), (De !== ee.object || Oe !== ee.index) && (ee = new C(De, Oe)); + } else if (ee instanceof A) { + var Be = ve(ee.dimensions, ie, me); + Be !== ee.dimensions && (ee = new A(Be)); + } else if (ee instanceof M) { + var Le = !1, Re = {}; + for (var rt in ee.properties) + Re[rt] = he(ee.properties[rt], ie, me), Re[rt] !== ee.properties[rt] && (Le = !0); + Le && (ee = new M(Re)); + } + var Ke = ie.r, Ze = re(ie.l, ee, Q)[0]; + if (!Ze && ie.expanded && (Ke = ie.expanded.r, Ze = re(ie.expanded.l, ee, Q)[0]), !Ze && ie.expandedNC1 && (Ke = ie.expandedNC1.r, Ze = re(ie.expandedNC1.l, ee, Q)[0], Ze || (Ke = ie.expandedNC2.r, Ze = re(ie.expandedNC2.l, ee, Q)[0])), Ze) { + var Ie = ee.implicit; + ee = Ke.clone(), Ie && "implicit" in Ke && (ee.implicit = !0), ee = ee.transform(function(B) { + return B.isSymbolNode && We(Ze.placeholders, B.name) ? Ze.placeholders[B.name].clone() : B; + }); + } + return ie.repeat && ee !== X && (ee = he(ee, ie, me)), ee; + } + function Ne(X, ie) { + var me = [], Ae, Me, Q = G(X); + if (q(X, ie)) + for (var ee = 0; ee < X.args.length; ee++) + Me = X.args.slice(0), Me.splice(ee, 1), Ae = Me.length === 1 ? Me[0] : Q(Me), me.push(Q([X.args[ee], Ae])); + else + for (var ye = 1; ye < X.args.length; ye++) { + var Ee = X.args[0]; + ye > 1 && (Ee = Q(X.args.slice(0, ye))), Me = X.args.slice(ye), Ae = Me.length === 1 ? Me[0] : Q(Me), me.push(Q([Ee, Ae])); + } + return me; + } + function we(X, ie) { + var me = { + placeholders: {} + }; + if (!X.placeholders && !ie.placeholders) + return me; + if (X.placeholders) { + if (!ie.placeholders) + return X; + } else return ie; + for (var Ae in X.placeholders) + if (We(X.placeholders, Ae) && (me.placeholders[Ae] = X.placeholders[Ae], We(ie.placeholders, Ae) && !pe(X.placeholders[Ae], ie.placeholders[Ae]))) + return null; + for (var Me in ie.placeholders) + We(ie.placeholders, Me) && (me.placeholders[Me] = ie.placeholders[Me]); + return me; + } + function Se(X, ie) { + var me = []; + if (X.length === 0 || ie.length === 0) + return me; + for (var Ae, Me = 0; Me < X.length; Me++) + for (var Q = 0; Q < ie.length; Q++) + Ae = we(X[Me], ie[Q]), Ae && me.push(Ae); + return me; + } + function V(X) { + if (X.length === 0) + return X; + for (var ie = X.reduce(Se), me = [], Ae = {}, Me = 0; Me < ie.length; Me++) { + var Q = JSON.stringify(ie[Me]); + Ae[Q] || (Ae[Q] = !0, me.push(ie[Me])); + } + return me; + } + function re(X, ie, me, Ae) { + var Me = [{ + placeholders: {} + }]; + if (X instanceof _ && ie instanceof _ || X instanceof D && ie instanceof D) { + if (X instanceof _) { + if (X.op !== ie.op || X.fn !== ie.fn) + return []; + } else if (X instanceof D && X.name !== ie.name) + return []; + if (ie.args.length === 1 && X.args.length === 1 || !$(ie, me) && ie.args.length === X.args.length || Ae) { + for (var Q = [], ee = 0; ee < X.args.length; ee++) { + var ye = re(X.args[ee], ie.args[ee], me); + if (ye.length === 0) + break; + Q.push(ye); + } + if (Q.length !== X.args.length) { + if (!q(ie, me) || // exact match in order needed + X.args.length === 1) + return []; + if (X.args.length > 2) + throw new Error("permuting >2 commutative non-associative rule arguments not yet implemented"); + var Ee = re(X.args[0], ie.args[1], me); + if (Ee.length === 0) + return []; + var Ce = re(X.args[1], ie.args[0], me); + if (Ce.length === 0) + return []; + Q = [Ee, Ce]; + } + Me = V(Q); + } else if (ie.args.length >= 2 && X.args.length === 2) { + for (var De = Ne(ie, me), Oe = [], Be = 0; Be < De.length; Be++) { + var Le = re(X, De[Be], me, !0); + Oe = Oe.concat(Le); + } + return Oe; + } else { + if (X.args.length > 2) + throw Error("Unexpected non-binary associative function: " + X.toString()); + return []; + } + } else if (X instanceof T) { + if (X.name.length === 0) + throw new Error("Symbol in rule has 0 length...!?"); + if (te[X.name]) { + if (X.name !== ie.name) + return []; + } else + switch (X.name[1] >= "a" && X.name[1] <= "z" ? X.name.substring(0, 2) : X.name[0]) { + case "n": + case "_p": + Me[0].placeholders[X.name] = ie; + break; + case "c": + case "cl": + if (Ct(ie)) + Me[0].placeholders[X.name] = ie; + else + return []; + break; + case "v": + if (!Ct(ie)) + Me[0].placeholders[X.name] = ie; + else + return []; + break; + case "vl": + if (mr(ie)) + Me[0].placeholders[X.name] = ie; + else + return []; + break; + case "cd": + if (Kb(ie)) + Me[0].placeholders[X.name] = ie; + else + return []; + break; + case "vd": + if (!Kb(ie)) + Me[0].placeholders[X.name] = ie; + else + return []; + break; + case "ce": + if (xu(ie)) + Me[0].placeholders[X.name] = ie; + else + return []; + break; + case "ve": + if (!xu(ie)) + Me[0].placeholders[X.name] = ie; + else + return []; + break; + default: + throw new Error("Invalid symbol in rule: " + X.name); + } + } else if (X instanceof E) { + if (!l(X.value, ie.value)) + return []; + } else + return []; + return Me; + } + function pe(X, ie) { + if (X instanceof E && ie instanceof E) { + if (!l(X.value, ie.value)) + return !1; + } else if (X instanceof T && ie instanceof T) { + if (X.name !== ie.name) + return !1; + } else if (X instanceof _ && ie instanceof _ || X instanceof D && ie instanceof D) { + if (X instanceof _) { + if (X.op !== ie.op || X.fn !== ie.fn) + return !1; + } else if (X instanceof D && X.name !== ie.name) + return !1; + if (X.args.length !== ie.args.length) + return !1; + for (var me = 0; me < X.args.length; me++) + if (!pe(X.args[me], ie.args[me])) + return !1; + } else + return !1; + return !0; + } + return Z; +}), J7 = "simplifyConstant", Y7 = ["typed", "config", "mathWithTransform", "matrix", "?fraction", "?bignumber", "AccessorNode", "ArrayNode", "ConstantNode", "FunctionNode", "IndexNode", "ObjectNode", "OperatorNode", "SymbolNode"], ap = /* @__PURE__ */ j(J7, Y7, (t) => { + var { + typed: e, + config: r, + mathWithTransform: n, + matrix: a, + fraction: s, + bignumber: o, + AccessorNode: p, + ArrayNode: u, + ConstantNode: f, + FunctionNode: l, + IndexNode: c, + ObjectNode: h, + OperatorNode: d, + SymbolNode: g + } = t, { + isCommutative: v, + isAssociative: N, + allChildren: b, + createMakeNodeFunction: C + } = Ud({ + FunctionNode: l, + OperatorNode: d, + SymbolNode: g + }), x = e("simplifyConstant", { + Node: (k) => M(U(k, {})), + "Node, Object": function(L, R) { + return M(U(L, R)); + } + }); + function E(k) { + return Fi(k) ? k.valueOf() : k instanceof Array ? k.map(E) : tt(k) ? a(E(k.valueOf())) : k; + } + function D(k, L, R) { + try { + return n[k].apply(null, L); + } catch { + return L = L.map(E), O(n[k].apply(null, L), R); + } + } + var A = e({ + Fraction: I, + number: function(L) { + return L < 0 ? T(new f(-L)) : new f(L); + }, + BigNumber: function(L) { + return L < 0 ? T(new f(-L)) : new f(L); + }, + bigint: function(L) { + return L < 0n ? T(new f(-L)) : new f(L); + }, + Complex: function(L) { + throw new Error("Cannot convert Complex number to Node"); + }, + string: function(L) { + return new f(L); + }, + Matrix: function(L) { + return new u(L.valueOf().map((R) => A(R))); + } + }); + function M(k) { + return Ut(k) ? k : A(k); + } + function _(k, L) { + var R = L && L.exactFractions !== !1; + if (R && isFinite(k) && s) { + var G = s(k), P = L && typeof L.fractionsLimit == "number" ? L.fractionsLimit : 1 / 0; + if (G.valueOf() === k && G.n < P && G.d < P) + return G; + } + return k; + } + var O = e({ + "string, Object": function(L, R) { + var G = Ii(L, r); + if (G === "BigNumber") + return o === void 0 && Od(), o(L); + if (G === "bigint") + return BigInt(L); + if (G === "Fraction") + return s === void 0 && Hw(), s(L); + var P = parseFloat(L); + return _(P, R); + }, + "Fraction, Object": function(L, R) { + return L; + }, + // we don't need options here + "BigNumber, Object": function(L, R) { + return L; + }, + // we don't need options here + "number, Object": function(L, R) { + return _(L, R); + }, + "bigint, Object": function(L, R) { + return L; + }, + "Complex, Object": function(L, R) { + return L.im !== 0 ? L : _(L.re, R); + }, + "Matrix, Object": function(L, R) { + return a(_(L.valueOf())); + }, + "Array, Object": function(L, R) { + return L.map(_); + } + }); + function T(k) { + return new d("-", "unaryMinus", [k]); + } + function I(k) { + var L, R = k.s * k.n; + return R < 0 ? L = new d("-", "unaryMinus", [new f(-R)]) : L = new f(R), k.d === 1 ? L : new d("/", "divide", [L, new f(k.d)]); + } + function q(k, L, R) { + if (!qi(L)) + return new p(M(k), M(L)); + if (un(k) || tt(k)) { + for (var G = Array.from(L.dimensions); G.length > 0; ) + if (Ct(G[0]) && typeof G[0].value != "string") { + var P = O(G.shift().value, R); + un(k) ? k = k.items[P - 1] : (k = k.valueOf()[P - 1], k instanceof Array && (k = a(k))); + } else if (G.length > 1 && Ct(G[1]) && typeof G[1].value != "string") { + var W = O(G[1].value, R), le = [], Z = un(k) ? k.items : k.valueOf(); + for (var H of Z) + if (un(H)) + le.push(H.items[W - 1]); + else if (tt(k)) + le.push(H[W - 1]); + else + break; + if (le.length === Z.length) + un(k) ? k = new u(le) : k = a(le), G.splice(1, 1); + else + break; + } else + break; + return G.length === L.dimensions.length ? new p(M(k), L) : G.length > 0 ? (L = new c(G), new p(M(k), L)) : k; + } + if (ja(k) && L.dimensions.length === 1 && Ct(L.dimensions[0])) { + var te = L.dimensions[0].value; + return te in k.properties ? k.properties[te] : new f(); + } + return new p(M(k), L); + } + function $(k, L, R, G) { + var P = L.shift(), W = L.reduce((le, Z) => { + if (!Ut(Z)) { + var H = le.pop(); + if (Ut(H)) + return [H, Z]; + try { + return le.push(D(k, [H, Z], G)), le; + } catch { + le.push(H); + } + } + le.push(M(le.pop())); + var te = le.length === 1 ? le[0] : R(le); + return [R([te, M(Z)])]; + }, [P]); + return W.length === 1 ? W[0] : R([W[0], A(W[1])]); + } + function U(k, L) { + switch (k.type) { + case "SymbolNode": + return k; + case "ConstantNode": + switch (typeof k.value) { + case "number": + return O(k.value, L); + case "bigint": + return O(k.value, L); + case "string": + return k.value; + default: + if (!isNaN(k.value)) return O(k.value, L); + } + return k; + case "FunctionNode": + if (n[k.name] && n[k.name].rawArgs) + return k; + { + var R = ["add", "multiply"]; + if (!R.includes(k.name)) { + var G = k.args.map((he) => U(he, L)); + if (!G.some(Ut)) + try { + return D(k.name, G, L); + } catch { + } + if (k.name === "size" && G.length === 1 && un(G[0])) { + for (var P = [], W = G[0]; un(W); ) + P.push(W.items.length), W = W.items[0]; + return a(P); + } + return new l(k.name, G.map(M)); + } + } + case "OperatorNode": { + var le = k.fn.toString(), Z, H, te = C(k); + if (or(k) && k.isUnary()) + Z = [U(k.args[0], L)], Ut(Z[0]) ? H = te(Z) : H = D(le, Z, L); + else if (N(k, L.context)) + if (Z = b(k, L.context), Z = Z.map((he) => U(he, L)), v(le, L.context)) { + for (var be = [], K = [], ce = 0; ce < Z.length; ce++) + Ut(Z[ce]) ? K.push(Z[ce]) : be.push(Z[ce]); + be.length > 1 ? (H = $(le, be, te, L), K.unshift(H), H = $(le, K, te, L)) : H = $(le, Z, te, L); + } else + H = $(le, Z, te, L); + else + Z = k.args.map((he) => U(he, L)), H = $(le, Z, te, L); + return H; + } + case "ParenthesisNode": + return U(k.content, L); + case "AccessorNode": + return q(U(k.object, L), U(k.index, L), L); + case "ArrayNode": { + var de = k.items.map((he) => U(he, L)); + return de.some(Ut) ? new u(de.map(M)) : a(de); + } + case "IndexNode": + return new c(k.dimensions.map((he) => x(he, L))); + case "ObjectNode": { + var ue = {}; + for (var ve in k.properties) + ue[ve] = x(k.properties[ve], L); + return new h(ue); + } + case "AssignmentNode": + case "BlockNode": + case "FunctionAssignmentNode": + case "RangeNode": + case "ConditionalNode": + default: + throw new Error("Unimplemented node type in simplifyConstant: ".concat(k.type)); + } + } + return x; +}), t2 = "simplifyCore", X7 = ["typed", "parse", "equal", "isZero", "add", "subtract", "multiply", "divide", "pow", "AccessorNode", "ArrayNode", "ConstantNode", "FunctionNode", "IndexNode", "ObjectNode", "OperatorNode", "ParenthesisNode", "SymbolNode"], sp = /* @__PURE__ */ j(t2, X7, (t) => { + var { + typed: e, + parse: r, + equal: n, + isZero: a, + add: s, + subtract: o, + multiply: p, + divide: u, + pow: f, + AccessorNode: l, + ArrayNode: c, + ConstantNode: h, + FunctionNode: d, + IndexNode: g, + ObjectNode: v, + OperatorNode: N, + ParenthesisNode: b, + SymbolNode: C + } = t, x = new h(0), E = new h(1), D = new h(!0), A = new h(!1); + function M(I) { + return or(I) && ["and", "not", "or"].includes(I.op); + } + var { + hasProperty: _, + isCommutative: O + } = Ud({ + FunctionNode: d, + OperatorNode: N, + SymbolNode: C + }); + function T(I) { + var q = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : {}, $ = q ? q.context : void 0; + if (_(I, "trivial", $)) { + if (Wn(I) && I.args.length === 1) + return T(I.args[0], q); + var U = !1, k = 0; + if (I.forEach((K) => { + ++k, k === 1 && (U = T(K, q)); + }), k === 1) + return U; + } + var L = I; + if (Wn(L)) { + var R = uq(L.name); + if (R) { + if (L.args.length > 2 && _(L, "associative", $)) + for (; L.args.length > 2; ) { + var G = L.args.pop(), P = L.args.pop(); + L.args.push(new N(R, L.name, [G, P])); + } + L = new N(R, L.name, L.args); + } else + return new d(T(L.fn), L.args.map((K) => T(K, q))); + } + if (or(L) && L.isUnary()) { + var W = T(L.args[0], q); + if (L.op === "~" && or(W) && W.isUnary() && W.op === "~" || L.op === "not" && or(W) && W.isUnary() && W.op === "not" && M(W.args[0])) + return W.args[0]; + var le = !0; + if (L.op === "-" && or(W) && (W.isBinary() && W.fn === "subtract" && (L = new N("-", "subtract", [W.args[1], W.args[0]]), le = !1), W.isUnary() && W.op === "-")) + return W.args[0]; + if (le) return new N(L.op, L.fn, [W]); + } + if (or(L) && L.isBinary()) { + var Z = T(L.args[0], q), H = T(L.args[1], q); + if (L.op === "+") { + if (Ct(Z) && a(Z.value)) + return H; + if (Ct(H) && a(H.value)) + return Z; + or(H) && H.isUnary() && H.op === "-" && (H = H.args[0], L = new N("-", "subtract", [Z, H])); + } + if (L.op === "-") + return or(H) && H.isUnary() && H.op === "-" ? T(new N("+", "add", [Z, H.args[0]]), q) : Ct(Z) && a(Z.value) ? T(new N("-", "unaryMinus", [H])) : Ct(H) && a(H.value) ? Z : new N(L.op, L.fn, [Z, H]); + if (L.op === "*") { + if (Ct(Z)) { + if (a(Z.value)) + return x; + if (n(Z.value, 1)) + return H; + } + if (Ct(H)) { + if (a(H.value)) + return x; + if (n(H.value, 1)) + return Z; + if (O(L, $)) + return new N(L.op, L.fn, [H, Z], L.implicit); + } + return new N(L.op, L.fn, [Z, H], L.implicit); + } + if (L.op === "/") + return Ct(Z) && a(Z.value) ? x : Ct(H) && n(H.value, 1) ? Z : new N(L.op, L.fn, [Z, H]); + if (L.op === "^" && Ct(H)) { + if (a(H.value)) + return E; + if (n(H.value, 1)) + return Z; + } + if (L.op === "and") { + if (Ct(Z)) + if (Z.value) { + if (M(H)) return H; + if (Ct(H)) + return H.value ? D : A; + } else + return A; + if (Ct(H)) + if (H.value) { + if (M(Z)) return Z; + } else + return A; + } + if (L.op === "or") { + if (Ct(Z)) { + if (Z.value) + return D; + if (M(H)) return H; + } + if (Ct(H)) { + if (H.value) + return D; + if (M(Z)) return Z; + } + } + return new N(L.op, L.fn, [Z, H]); + } + if (or(L)) + return new N(L.op, L.fn, L.args.map((K) => T(K, q))); + if (un(L)) + return new c(L.items.map((K) => T(K, q))); + if (pi(L)) + return new l(T(L.object, q), T(L.index, q)); + if (qi(L)) + return new g(L.dimensions.map((K) => T(K, q))); + if (ja(L)) { + var te = {}; + for (var be in L.properties) + te[be] = T(L.properties[be], q); + return new v(te); + } + return L; + } + return e(t2, { + Node: T, + "Node,Object": T + }); +}), K7 = "resolve", eR = ["typed", "parse", "ConstantNode", "FunctionNode", "OperatorNode", "ParenthesisNode"], op = /* @__PURE__ */ j(K7, eR, (t) => { + var { + typed: e, + parse: r, + ConstantNode: n, + FunctionNode: a, + OperatorNode: s, + ParenthesisNode: o + } = t; + function p(u, f) { + var l = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : /* @__PURE__ */ new Set(); + if (!f) + return u; + if (mr(u)) { + if (l.has(u.name)) { + var c = Array.from(l).join(", "); + throw new ReferenceError("recursive loop of variable definitions among {".concat(c, "}")); + } + var h = f.get(u.name); + if (Ut(h)) { + var d = new Set(l); + return d.add(u.name), p(h, f, d); + } else return typeof h == "number" ? r(String(h)) : h !== void 0 ? new n(h) : u; + } else if (or(u)) { + var g = u.args.map(function(N) { + return p(N, f, l); + }); + return new s(u.op, u.fn, g, u.implicit); + } else { + if (kn(u)) + return new o(p(u.content, f, l)); + if (Wn(u)) { + var v = u.args.map(function(N) { + return p(N, f, l); + }); + return new a(u.name, v); + } + } + return u.map((N) => p(N, f, l)); + } + return e("resolve", { + Node: p, + "Node, Map | null | undefined": p, + "Node, Object": (u, f) => p(u, Ia(f)), + // For arrays and matrices, we map `self` rather than `_resolve` + // because resolve is fairly expensive anyway, and this way + // we get nice error messages if one entry in the array has wrong type. + "Array | Matrix": e.referToSelf((u) => (f) => f.map((l) => u(l))), + "Array | Matrix, null | undefined": e.referToSelf((u) => (f) => f.map((l) => u(l))), + "Array, Object": e.referTo("Array,Map", (u) => (f, l) => u(f, Ia(l))), + "Matrix, Object": e.referTo("Matrix,Map", (u) => (f, l) => u(f, Ia(l))), + "Array | Matrix, Map": e.referToSelf((u) => (f, l) => f.map((c) => u(c, l))) + }); +}), r2 = "symbolicEqual", tR = ["parse", "simplify", "typed", "OperatorNode"], up = /* @__PURE__ */ j(r2, tR, (t) => { + var { + parse: e, + simplify: r, + typed: n, + OperatorNode: a + } = t; + function s(o, p) { + var u = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : {}, f = new a("-", "subtract", [o, p]), l = r(f, {}, u); + return Ct(l) && !l.value; + } + return n(r2, { + "Node, Node": s, + "Node, Node, Object": s + }); +}), n2 = "derivative", rR = ["typed", "config", "parse", "simplify", "equal", "isZero", "numeric", "ConstantNode", "FunctionNode", "OperatorNode", "ParenthesisNode", "SymbolNode"], lp = /* @__PURE__ */ j(n2, rR, (t) => { + var { + typed: e, + config: r, + parse: n, + simplify: a, + equal: s, + isZero: o, + numeric: p, + ConstantNode: u, + FunctionNode: f, + OperatorNode: l, + ParenthesisNode: c, + SymbolNode: h + } = t; + function d(x, E) { + var D = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : { + simplify: !0 + }, A = {}; + N(A, x, E.name); + var M = b(x, A); + return D.simplify ? a(M) : M; + } + e.addConversion({ + from: "identifier", + to: "SymbolNode", + convert: n + }); + var g = e(n2, { + "Node, SymbolNode": d, + "Node, SymbolNode, Object": d + /* TODO: implement and test syntax with order of derivatives -> implement as an option {order: number} + 'Node, SymbolNode, ConstantNode': function (expr, variable, {order}) { + let res = expr + for (let i = 0; i < order; i++) { + let constNodes = {} + constTag(constNodes, expr, variable.name) + res = _derivative(res, constNodes) + } + return res + } + */ + }); + e.removeConversion({ + from: "identifier", + to: "SymbolNode", + convert: n + }), g._simplify = !0, g.toTex = function(x) { + return v.apply(null, x.args); + }; + var v = e("_derivTex", { + "Node, SymbolNode": function(E, D) { + return Ct(E) && Vt(E.value) === "string" ? v(n(E.value).toString(), D.toString(), 1) : v(E.toTex(), D.toString(), 1); + }, + "Node, ConstantNode": function(E, D) { + if (Vt(D.value) === "string") + return v(E, n(D.value)); + throw new Error("The second parameter to 'derivative' is a non-string constant"); + }, + "Node, SymbolNode, ConstantNode": function(E, D, A) { + return v(E.toString(), D.name, A.value); + }, + "string, string, number": function(E, D, A) { + var M; + return A === 1 ? M = "{d\\over d" + D + "}" : M = "{d^{" + A + "}\\over d" + D + "^{" + A + "}}", M + "\\left[".concat(E, "\\right]"); + } + }), N = e("constTag", { + "Object, ConstantNode, string": function(E, D) { + return E[D] = !0, !0; + }, + "Object, SymbolNode, string": function(E, D, A) { + return D.name !== A ? (E[D] = !0, !0) : !1; + }, + "Object, ParenthesisNode, string": function(E, D, A) { + return N(E, D.content, A); + }, + "Object, FunctionAssignmentNode, string": function(E, D, A) { + return D.params.includes(A) ? N(E, D.expr, A) : (E[D] = !0, !0); + }, + "Object, FunctionNode | OperatorNode, string": function(E, D, A) { + if (D.args.length > 0) { + for (var M = N(E, D.args[0], A), _ = 1; _ < D.args.length; ++_) + M = N(E, D.args[_], A) && M; + if (M) + return E[D] = !0, !0; + } + return !1; + } + }), b = e("_derivative", { + "ConstantNode, Object": function(E) { + return C(0); + }, + "SymbolNode, Object": function(E, D) { + return D[E] !== void 0 ? C(0) : C(1); + }, + "ParenthesisNode, Object": function(E, D) { + return new c(b(E.content, D)); + }, + "FunctionAssignmentNode, Object": function(E, D) { + return D[E] !== void 0 ? C(0) : b(E.expr, D); + }, + "FunctionNode, Object": function(E, D) { + if (D[E] !== void 0) + return C(0); + var A = E.args[0], M, _ = !1, O = !1, T; + switch (E.name) { + case "cbrt": + _ = !0, T = new l("*", "multiply", [C(3), new l("^", "pow", [A, new l("/", "divide", [C(2), C(3)])])]); + break; + case "sqrt": + case "nthRoot": + if (E.args.length === 1) + _ = !0, T = new l("*", "multiply", [C(2), new f("sqrt", [A])]); + else if (E.args.length === 2) + return M = new l("/", "divide", [C(1), E.args[1]]), D[M] = D[E.args[1]], b(new l("^", "pow", [A, M]), D); + break; + case "log10": + M = C(10); + case "log": + if (!M && E.args.length === 1) + T = A.clone(), _ = !0; + else if (E.args.length === 1 && M || E.args.length === 2 && D[E.args[1]] !== void 0) + T = new l("*", "multiply", [A.clone(), new f("log", [M || E.args[1]])]), _ = !0; + else if (E.args.length === 2) + return b(new l("/", "divide", [new f("log", [A]), new f("log", [E.args[1]])]), D); + break; + case "pow": + if (E.args.length === 2) + return D[M] = D[E.args[1]], b(new l("^", "pow", [A, E.args[1]]), D); + break; + case "exp": + T = new f("exp", [A.clone()]); + break; + case "sin": + T = new f("cos", [A.clone()]); + break; + case "cos": + T = new l("-", "unaryMinus", [new f("sin", [A.clone()])]); + break; + case "tan": + T = new l("^", "pow", [new f("sec", [A.clone()]), C(2)]); + break; + case "sec": + T = new l("*", "multiply", [E, new f("tan", [A.clone()])]); + break; + case "csc": + O = !0, T = new l("*", "multiply", [E, new f("cot", [A.clone()])]); + break; + case "cot": + O = !0, T = new l("^", "pow", [new f("csc", [A.clone()]), C(2)]); + break; + case "asin": + _ = !0, T = new f("sqrt", [new l("-", "subtract", [C(1), new l("^", "pow", [A.clone(), C(2)])])]); + break; + case "acos": + _ = !0, O = !0, T = new f("sqrt", [new l("-", "subtract", [C(1), new l("^", "pow", [A.clone(), C(2)])])]); + break; + case "atan": + _ = !0, T = new l("+", "add", [new l("^", "pow", [A.clone(), C(2)]), C(1)]); + break; + case "asec": + _ = !0, T = new l("*", "multiply", [new f("abs", [A.clone()]), new f("sqrt", [new l("-", "subtract", [new l("^", "pow", [A.clone(), C(2)]), C(1)])])]); + break; + case "acsc": + _ = !0, O = !0, T = new l("*", "multiply", [new f("abs", [A.clone()]), new f("sqrt", [new l("-", "subtract", [new l("^", "pow", [A.clone(), C(2)]), C(1)])])]); + break; + case "acot": + _ = !0, O = !0, T = new l("+", "add", [new l("^", "pow", [A.clone(), C(2)]), C(1)]); + break; + case "sinh": + T = new f("cosh", [A.clone()]); + break; + case "cosh": + T = new f("sinh", [A.clone()]); + break; + case "tanh": + T = new l("^", "pow", [new f("sech", [A.clone()]), C(2)]); + break; + case "sech": + O = !0, T = new l("*", "multiply", [E, new f("tanh", [A.clone()])]); + break; + case "csch": + O = !0, T = new l("*", "multiply", [E, new f("coth", [A.clone()])]); + break; + case "coth": + O = !0, T = new l("^", "pow", [new f("csch", [A.clone()]), C(2)]); + break; + case "asinh": + _ = !0, T = new f("sqrt", [new l("+", "add", [new l("^", "pow", [A.clone(), C(2)]), C(1)])]); + break; + case "acosh": + _ = !0, T = new f("sqrt", [new l("-", "subtract", [new l("^", "pow", [A.clone(), C(2)]), C(1)])]); + break; + case "atanh": + _ = !0, T = new l("-", "subtract", [C(1), new l("^", "pow", [A.clone(), C(2)])]); + break; + case "asech": + _ = !0, O = !0, T = new l("*", "multiply", [A.clone(), new f("sqrt", [new l("-", "subtract", [C(1), new l("^", "pow", [A.clone(), C(2)])])])]); + break; + case "acsch": + _ = !0, O = !0, T = new l("*", "multiply", [new f("abs", [A.clone()]), new f("sqrt", [new l("+", "add", [new l("^", "pow", [A.clone(), C(2)]), C(1)])])]); + break; + case "acoth": + _ = !0, O = !0, T = new l("-", "subtract", [C(1), new l("^", "pow", [A.clone(), C(2)])]); + break; + case "abs": + T = new l("/", "divide", [new f(new h("abs"), [A.clone()]), A.clone()]); + break; + case "gamma": + default: + throw new Error('Cannot process function "' + E.name + '" in derivative: the function is not supported, undefined, or the number of arguments passed to it are not supported'); + } + var I, q; + _ ? (I = "/", q = "divide") : (I = "*", q = "multiply"); + var $ = b(A, D); + return O && ($ = new l("-", "unaryMinus", [$])), new l(I, q, [$, T]); + }, + "OperatorNode, Object": function(E, D) { + if (D[E] !== void 0) + return C(0); + if (E.op === "+") + return new l(E.op, E.fn, E.args.map(function(k) { + return b(k, D); + })); + if (E.op === "-") { + if (E.isUnary()) + return new l(E.op, E.fn, [b(E.args[0], D)]); + if (E.isBinary()) + return new l(E.op, E.fn, [b(E.args[0], D), b(E.args[1], D)]); + } + if (E.op === "*") { + var A = E.args.filter(function(k) { + return D[k] !== void 0; + }); + if (A.length > 0) { + var M = E.args.filter(function(k) { + return D[k] === void 0; + }), _ = M.length === 1 ? M[0] : new l("*", "multiply", M), O = A.concat(b(_, D)); + return new l("*", "multiply", O); + } + return new l("+", "add", E.args.map(function(k) { + return new l("*", "multiply", E.args.map(function(L) { + return L === k ? b(L, D) : L.clone(); + })); + })); + } + if (E.op === "/" && E.isBinary()) { + var T = E.args[0], I = E.args[1]; + return D[I] !== void 0 ? new l("/", "divide", [b(T, D), I]) : D[T] !== void 0 ? new l("*", "multiply", [new l("-", "unaryMinus", [T]), new l("/", "divide", [b(I, D), new l("^", "pow", [I.clone(), C(2)])])]) : new l("/", "divide", [new l("-", "subtract", [new l("*", "multiply", [b(T, D), I.clone()]), new l("*", "multiply", [T.clone(), b(I, D)])]), new l("^", "pow", [I.clone(), C(2)])]); + } + if (E.op === "^" && E.isBinary()) { + var q = E.args[0], $ = E.args[1]; + if (D[q] !== void 0) + return Ct(q) && (o(q.value) || s(q.value, 1)) ? C(0) : new l("*", "multiply", [E, new l("*", "multiply", [new f("log", [q.clone()]), b($.clone(), D)])]); + if (D[$] !== void 0) { + if (Ct($)) { + if (o($.value)) + return C(0); + if (s($.value, 1)) + return b(q, D); + } + var U = new l("^", "pow", [q.clone(), new l("-", "subtract", [$, C(1)])]); + return new l("*", "multiply", [$.clone(), new l("*", "multiply", [b(q, D), U])]); + } + return new l("*", "multiply", [new l("^", "pow", [q.clone(), $.clone()]), new l("+", "add", [new l("*", "multiply", [b(q, D), new l("/", "divide", [$.clone(), q.clone()])]), new l("*", "multiply", [b($, D), new f("log", [q.clone()])])])]); + } + throw new Error('Cannot process operator "' + E.op + '" in derivative: the operator is not supported, undefined, or the number of arguments passed to it are not supported'); + } + }); + function C(x, E) { + return new u(p(x, Ii(String(x), r))); + } + return g; +}), i2 = "rationalize", nR = ["config", "typed", "equal", "isZero", "add", "subtract", "multiply", "divide", "pow", "parse", "simplifyConstant", "simplifyCore", "simplify", "?bignumber", "?fraction", "mathWithTransform", "matrix", "AccessorNode", "ArrayNode", "ConstantNode", "FunctionNode", "IndexNode", "ObjectNode", "OperatorNode", "SymbolNode", "ParenthesisNode"], cp = /* @__PURE__ */ j(i2, nR, (t) => { + var { + config: e, + typed: r, + equal: n, + isZero: a, + add: s, + subtract: o, + multiply: p, + divide: u, + pow: f, + parse: l, + simplifyConstant: c, + simplifyCore: h, + simplify: d, + fraction: g, + bignumber: v, + mathWithTransform: N, + matrix: b, + AccessorNode: C, + ArrayNode: x, + ConstantNode: E, + FunctionNode: D, + IndexNode: A, + ObjectNode: M, + OperatorNode: _, + SymbolNode: O, + ParenthesisNode: T + } = t; + function I(L) { + var R = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : {}, G = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : !1, P = $(), W = q(L, R, !0, P.firstRules), le = W.variables.length, Z = { + exactFractions: !1 + }, H = { + exactFractions: !0 + }; + if (L = W.expression, le >= 1) { + L = U(L); + var te, be, K = !0, ce = !1; + L = d(L, P.firstRules, {}, Z); + for (var de; be = K ? P.distrDivRules : P.sucDivRules, L = d(L, be, {}, H), K = !K, de = L.toString(), de !== te; ) + ce = !0, te = de; + ce && (L = d(L, P.firstRulesAgain, {}, Z)), L = d(L, P.finalRules, {}, Z); + } + var ue = [], ve = {}; + return L.type === "OperatorNode" && L.isBinary() && L.op === "/" ? (le === 1 && (L.args[0] = k(L.args[0], ue), L.args[1] = k(L.args[1])), G && (ve.numerator = L.args[0], ve.denominator = L.args[1])) : (le === 1 && (L = k(L, ue)), G && (ve.numerator = L, ve.denominator = null)), G ? (ve.coefficients = ue, ve.variables = W.variables, ve.expression = L, ve) : L; + } + return r(i2, { + Node: I, + "Node, boolean": (L, R) => I(L, {}, R), + "Node, Object": I, + "Node, Object, boolean": I + }); + function q(L, R, G, P) { + var W = [], le = d(L, P, R, { + exactFractions: !1 + }); + G = !!G; + var Z = "+-*" + (G ? "/" : ""); + te(le); + var H = {}; + return H.expression = le, H.variables = W, H; + function te(be) { + var K = be.type; + if (K === "FunctionNode") + throw new Error("There is an unsolved function call"); + if (K === "OperatorNode") + if (be.op === "^") { + if (be.args[1].type !== "ConstantNode" || !Xe(parseFloat(be.args[1].value))) + throw new Error("There is a non-integer exponent"); + te(be.args[0]); + } else { + if (!Z.includes(be.op)) + throw new Error("Operator " + be.op + " invalid in polynomial expression"); + for (var ce = 0; ce < be.args.length; ce++) + te(be.args[ce]); + } + else if (K === "SymbolNode") { + var de = be.name, ue = W.indexOf(de); + ue === -1 && W.push(de); + } else if (K === "ParenthesisNode") + te(be.content); + else if (K !== "ConstantNode") + throw new Error("type " + K + " is not allowed in polynomial expression"); + } + } + function $() { + var L = [ + h, + // sCore + { + l: "n+n", + r: "2*n" + }, + { + l: "n+-n", + r: "0" + }, + c, + // sConstant + { + l: "n*(n1^-1)", + r: "n/n1" + }, + { + l: "n*n1^-n2", + r: "n/n1^n2" + }, + { + l: "n1^-1", + r: "1/n1" + }, + { + l: "n*(n1/n2)", + r: "(n*n1)/n2" + }, + { + l: "1*n", + r: "n" + } + ], R = [ + { + l: "(-n1)/(-n2)", + r: "n1/n2" + }, + // Unary division + { + l: "(-n1)*(-n2)", + r: "n1*n2" + }, + // Unary multiplication + { + l: "n1--n2", + r: "n1+n2" + }, + // '--' elimination + { + l: "n1-n2", + r: "n1+(-n2)" + }, + // Subtraction turn into add with un�ry minus + { + l: "(n1+n2)*n3", + r: "(n1*n3 + n2*n3)" + }, + // Distributive 1 + { + l: "n1*(n2+n3)", + r: "(n1*n2+n1*n3)" + }, + // Distributive 2 + { + l: "c1*n + c2*n", + r: "(c1+c2)*n" + }, + // Joining constants + { + l: "c1*n + n", + r: "(c1+1)*n" + }, + // Joining constants + { + l: "c1*n - c2*n", + r: "(c1-c2)*n" + }, + // Joining constants + { + l: "c1*n - n", + r: "(c1-1)*n" + }, + // Joining constants + { + l: "v/c", + r: "(1/c)*v" + }, + // variable/constant (new!) + { + l: "v/-c", + r: "-(1/c)*v" + }, + // variable/constant (new!) + { + l: "-v*-c", + r: "c*v" + }, + // Inversion constant and variable 1 + { + l: "-v*c", + r: "-c*v" + }, + // Inversion constant and variable 2 + { + l: "v*-c", + r: "-c*v" + }, + // Inversion constant and variable 3 + { + l: "v*c", + r: "c*v" + }, + // Inversion constant and variable 4 + { + l: "-(-n1*n2)", + r: "(n1*n2)" + }, + // Unary propagation + { + l: "-(n1*n2)", + r: "(-n1*n2)" + }, + // Unary propagation + { + l: "-(-n1+n2)", + r: "(n1-n2)" + }, + // Unary propagation + { + l: "-(n1+n2)", + r: "(-n1-n2)" + }, + // Unary propagation + { + l: "(n1^n2)^n3", + r: "(n1^(n2*n3))" + }, + // Power to Power + { + l: "-(-n1/n2)", + r: "(n1/n2)" + }, + // Division and Unary + { + l: "-(n1/n2)", + r: "(-n1/n2)" + } + ], G = [ + { + l: "(n1/n2 + n3/n4)", + r: "((n1*n4 + n3*n2)/(n2*n4))" + }, + // Sum of fractions + { + l: "(n1/n2 + n3)", + r: "((n1 + n3*n2)/n2)" + }, + // Sum fraction with number 1 + { + l: "(n1 + n2/n3)", + r: "((n1*n3 + n2)/n3)" + } + ], P = [ + { + l: "(n1/(n2/n3))", + r: "((n1*n3)/n2)" + }, + // Division simplification + { + l: "(n1/n2/n3)", + r: "(n1/(n2*n3))" + } + ], W = {}; + return W.firstRules = L.concat(R, P), W.distrDivRules = G, W.sucDivRules = P, W.firstRulesAgain = L.concat(R), W.finalRules = [ + h, + // simplify.rules[0] + { + l: "n*-n", + r: "-n^2" + }, + // Joining multiply with power 1 + { + l: "n*n", + r: "n^2" + }, + // Joining multiply with power 2 + c, + // simplify.rules[14] old 3rd index in oldRules + { + l: "n*-n^n1", + r: "-n^(n1+1)" + }, + // Joining multiply with power 3 + { + l: "n*n^n1", + r: "n^(n1+1)" + }, + // Joining multiply with power 4 + { + l: "n^n1*-n^n2", + r: "-n^(n1+n2)" + }, + // Joining multiply with power 5 + { + l: "n^n1*n^n2", + r: "n^(n1+n2)" + }, + // Joining multiply with power 6 + { + l: "n^n1*-n", + r: "-n^(n1+1)" + }, + // Joining multiply with power 7 + { + l: "n^n1*n", + r: "n^(n1+1)" + }, + // Joining multiply with power 8 + { + l: "n^n1/-n", + r: "-n^(n1-1)" + }, + // Joining multiply with power 8 + { + l: "n^n1/n", + r: "n^(n1-1)" + }, + // Joining division with power 1 + { + l: "n/-n^n1", + r: "-n^(1-n1)" + }, + // Joining division with power 2 + { + l: "n/n^n1", + r: "n^(1-n1)" + }, + // Joining division with power 3 + { + l: "n^n1/-n^n2", + r: "n^(n1-n2)" + }, + // Joining division with power 4 + { + l: "n^n1/n^n2", + r: "n^(n1-n2)" + }, + // Joining division with power 5 + { + l: "n1+(-n2*n3)", + r: "n1-n2*n3" + }, + // Solving useless parenthesis 1 + { + l: "v*(-c)", + r: "-c*v" + }, + // Solving useless unary 2 + { + l: "n1+-n2", + r: "n1-n2" + }, + // Solving +- together (new!) + { + l: "v*c", + r: "c*v" + }, + // inversion constant with variable + { + l: "(n1^n2)^n3", + r: "(n1^(n2*n3))" + } + // Power to Power + ], W; + } + function U(L, R, G) { + var P = L.type, W = arguments.length > 1; + if (P === "OperatorNode" && L.isBinary()) { + var le = !1, Z; + if (L.op === "^" && (L.args[0].type === "ParenthesisNode" || L.args[0].type === "OperatorNode") && L.args[1].type === "ConstantNode" && (Z = parseFloat(L.args[1].value), le = Z >= 2 && Xe(Z)), le) { + if (Z > 2) { + var H = L.args[0], te = new _("^", "pow", [L.args[0].cloneDeep(), new E(Z - 1)]); + L = new _("*", "multiply", [H, te]); + } else + L = new _("*", "multiply", [L.args[0], L.args[0].cloneDeep()]); + W && (G === "content" ? R.content = L : R.args[G] = L); + } + } + if (P === "ParenthesisNode") + U(L.content, L, "content"); + else if (P !== "ConstantNode" && P !== "SymbolNode") + for (var be = 0; be < L.args.length; be++) + U(L.args[be], L, be); + if (!W) + return L; + } + function k(L, R) { + R === void 0 && (R = []), R[0] = 0; + var G = {}; + G.cte = 1, G.oper = "+", G.fire = ""; + var P = 0, W = ""; + de(L, null, G), P = R.length - 1; + for (var le = !0, Z, H = P; H >= 0; H--) + if (R[H] !== 0) { + var te = new E(le ? R[H] : Math.abs(R[H])), be = R[H] < 0 ? "-" : "+"; + if (H > 0) { + var K = new O(W); + if (H > 1) { + var ce = new E(H); + K = new _("^", "pow", [K, ce]); + } + R[H] === -1 && le ? te = new _("-", "unaryMinus", [K]) : Math.abs(R[H]) === 1 ? te = K : te = new _("*", "multiply", [te, K]); + } + le ? Z = te : be === "+" ? Z = new _("+", "add", [Z, te]) : Z = new _("-", "subtract", [Z, te]), le = !1; + } + if (le) + return new E(0); + return Z; + function de(ue, ve, he) { + var Ne = ue.type; + if (Ne === "FunctionNode") + throw new Error("There is an unsolved function call"); + if (Ne === "OperatorNode") { + if (!"+-*^".includes(ue.op)) throw new Error("Operator " + ue.op + " invalid"); + if (ve !== null) { + if ((ue.fn === "unaryMinus" || ue.fn === "pow") && ve.fn !== "add" && ve.fn !== "subtract" && ve.fn !== "multiply") + throw new Error("Invalid " + ue.op + " placing"); + if ((ue.fn === "subtract" || ue.fn === "add" || ue.fn === "multiply") && ve.fn !== "add" && ve.fn !== "subtract") + throw new Error("Invalid " + ue.op + " placing"); + if ((ue.fn === "subtract" || ue.fn === "add" || ue.fn === "unaryMinus") && he.noFil !== 0) + throw new Error("Invalid " + ue.op + " placing"); + } + (ue.op === "^" || ue.op === "*") && (he.fire = ue.op); + for (var we = 0; we < ue.args.length; we++) + ue.fn === "unaryMinus" && (he.oper = "-"), (ue.op === "+" || ue.fn === "subtract") && (he.fire = "", he.cte = 1, he.oper = we === 0 ? "+" : ue.op), he.noFil = we, de(ue.args[we], ue, he); + } else if (Ne === "SymbolNode") { + if (ue.name !== W && W !== "") + throw new Error("There is more than one variable"); + if (W = ue.name, ve === null) { + R[1] = 1; + return; + } + if (ve.op === "^" && he.noFil !== 0) + throw new Error("In power the variable should be the first parameter"); + if (ve.op === "*" && he.noFil !== 1) + throw new Error("In multiply the variable should be the second parameter"); + (he.fire === "" || he.fire === "*") && (P < 1 && (R[1] = 0), R[1] += he.cte * (he.oper === "+" ? 1 : -1), P = Math.max(1, P)); + } else if (Ne === "ConstantNode") { + var Se = parseFloat(ue.value); + if (ve === null) { + R[0] = Se; + return; + } + if (ve.op === "^") { + if (he.noFil !== 1) throw new Error("Constant cannot be powered"); + if (!Xe(Se) || Se <= 0) + throw new Error("Non-integer exponent is not allowed"); + for (var V = P + 1; V < Se; V++) R[V] = 0; + Se > P && (R[Se] = 0), R[Se] += he.cte * (he.oper === "+" ? 1 : -1), P = Math.max(Se, P); + return; + } + he.cte = Se, he.fire === "" && (R[0] += he.cte * (he.oper === "+" ? 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s.fromJSON(a) : a; + }; +}), uR = "replacer", lR = [], mp = /* @__PURE__ */ j(uR, lR, () => function(e, r) { + return typeof r == "number" && (!isFinite(r) || isNaN(r)) ? { + mathjs: "number", + value: String(r) + } : typeof r == "bigint" ? { + mathjs: "bigint", + value: String(r) + } : r; +}), cR = "13.0.0", dp = /* @__PURE__ */ j("true", [], () => !0), vp = /* @__PURE__ */ j("false", [], () => !1), gp = /* @__PURE__ */ j("null", [], () => null), yp = /* @__PURE__ */ xn("Infinity", ["config", "?BigNumber"], (t) => { + var { + config: e, + BigNumber: r + } = t; + return e.number === "BigNumber" ? new r(1 / 0) : 1 / 0; +}), xp = /* @__PURE__ */ xn("NaN", ["config", "?BigNumber"], (t) => { + var { + config: e, + BigNumber: r + } = t; + return e.number === "BigNumber" ? new r(NaN) : NaN; +}), bp = /* @__PURE__ */ xn("pi", ["config", "?BigNumber"], (t) => { + var { + config: e, + BigNumber: r + } = t; + return e.number === "BigNumber" ? 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"BigNumber" ? new r(1).div(new r(2).ln()) : Math.LOG2E; +}), Cp = /* @__PURE__ */ xn("LOG10E", ["config", "?BigNumber"], (t) => { + var { + config: e, + BigNumber: r + } = t; + return e.number === "BigNumber" ? new r(1).div(new r(10).ln()) : Math.LOG10E; +}), Tp = /* @__PURE__ */ xn( + // eslint-disable-line camelcase + "SQRT1_2", + ["config", "?BigNumber"], + (t) => { + var { + config: e, + BigNumber: r + } = t; + return e.number === "BigNumber" ? new r("0.5").sqrt() : Math.SQRT1_2; + } +), _p = /* @__PURE__ */ xn("SQRT2", ["config", "?BigNumber"], (t) => { + var { + config: e, + BigNumber: r + } = t; + return e.number === "BigNumber" ? new r(2).sqrt() : Math.SQRT2; +}), Mp = /* @__PURE__ */ xn("i", ["Complex"], (t) => { + var { + Complex: e + } = t; + return e.I; +}), Gd = /* @__PURE__ */ j("PI", ["pi"], (t) => { + var { + pi: e + } = t; + return e; +}), Hd = /* @__PURE__ */ j("E", ["e"], (t) => { + var { + e + } = t; + return e; +}), Op = /* @__PURE__ */ j("version", [], () => cR); 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p.map(function(f) { + return f - 1; + })); + else if (ht(p)) + p--; + else if (ct(p)) + p = p.toNumber() - 1; + else if (typeof p != "string") throw new TypeError("Dimension must be an Array, Matrix, number, string, or Range"); + a[s] = p; + } + var u = new e(); + return e.apply(u, a), u; + }; +}, { + isTransformFunction: !0 +}), wR = "map", NR = ["typed"], Ih = /* @__PURE__ */ j(wR, NR, (t) => { + var { + typed: e + } = t; + function r(a, s, o) { + var p, u; + return a[0] && (p = a[0].compile().evaluate(o)), a[1] && (mr(a[1]) || oa(a[1]) ? u = a[1].compile().evaluate(o) : u = Qd(a[1], s, o)), n(p, u); + } + r.rawArgs = !0; + var n = e("map", { + "Array, function": function(s, o) { + return u2(s, o, s); + }, + "Matrix, function": function(s, o) { + return s.create(u2(s.valueOf(), o, s)); + } + }); + return r; +}, { + isTransformFunction: !0 +}); +function u2(t, e, r) { + function n(a, s) { + return Array.isArray(a) ? fi(a, function(o, p) { + return n(o, s.concat(p + 1)); + }) : es(e, 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=> { + var { + typed: e, + matrix: r, + isInteger: n + } = t, a = js({ + typed: e, + matrix: r, + isInteger: n + }); + return e("concat", { + "...any": function(o) { + var p = o.length - 1, u = o[p]; + ht(u) ? o[p] = u - 1 : ct(u) && (o[p] = u.minus(1)); + try { + return a.apply(null, o); + } catch (f) { + throw nn(f); + } + } + }); +}, { + isTransformFunction: !0 +}), l2 = "diff", LR = ["typed", "matrix", "subtract", "number", "bignumber"], Uh = /* @__PURE__ */ j(l2, LR, (t) => { + var { + typed: e, + matrix: r, + subtract: n, + number: a, + bignumber: s + } = t, o = Js({ + typed: e, + matrix: r, + subtract: n, + number: a, + bignumber: s + }); + return e(l2, { + "...any": function(u) { + u = Li(u); + try { + return o.apply(null, u); + } catch (f) { + throw nn(f); + } + } + }); +}, { + isTransformFunction: !0 +}), PR = "std", kR = ["typed", "map", "sqrt", "variance"], Gh = /* @__PURE__ */ j(PR, kR, (t) => { + var { + typed: e, + map: r, + sqrt: n, + variance: a + } = t, s = co({ + typed: e, + map: r, + sqrt: n, + variance: a + }); + return e("std", { + "...any": function(p) { + p = Li(p); + try { + return s.apply(null, p); + } catch (u) { + throw nn(u); + } + } + }); +}, { + isTransformFunction: !0 +}), c2 = "sum", $R = ["typed", "config", "add", "numeric"], Hh = /* @__PURE__ */ j(c2, $R, (t) => { + var { + typed: e, + config: r, + add: n, + numeric: a + } = t, s = ao({ + typed: e, + config: r, + add: n, + numeric: a + }); + return e(c2, { + "...any": function(p) { + p = Li(p); + try { + return s.apply(null, p); + } catch (u) { + throw nn(u); + } + } + }); +}, { + isTransformFunction: !0 +}), zR = "quantileSeq", UR = ["typed", "bignumber", "add", "subtract", "divide", "multiply", "partitionSelect", "compare", "isInteger", "smaller", "smallerEq", "larger"], Qh = /* @__PURE__ */ j(zR, UR, (t) => { + var { + typed: e, + bignumber: r, + add: n, + subtract: a, + divide: s, + multiply: o, + partitionSelect: p, + compare: u, + isInteger: f, + smaller: l, + smallerEq: c, + larger: h + } = t, d = lo({ + typed: e, + bignumber: r, + add: n, + subtract: a, + divide: s, + multiply: o, + partitionSelect: p, + compare: u, + isInteger: f, + smaller: l, + smallerEq: c, + larger: h + }); + return e("quantileSeq", { + "Array | Matrix, number | BigNumber": d, + "Array | Matrix, number | BigNumber, number": (v, N, b) => d(v, N, g(b)), + "Array | Matrix, number | BigNumber, boolean": d, + "Array | Matrix, number | BigNumber, boolean, number": (v, N, b, C) => d(v, N, b, g(C)), + "Array | Matrix, Array | Matrix": d, + "Array | Matrix, Array | Matrix, number": (v, N, b) => d(v, N, g(b)), + "Array | Matrix, Array | Matrix, boolean": d, + "Array | Matrix, Array | Matrix, boolean, number": (v, N, b, C) => d(v, N, b, g(C)) + }); + function g(v) { + return Li([[], v])[1]; + } +}, { + isTransformFunction: !0 +}), f2 = "cumsum", GR = ["typed", "add", "unaryPlus"], Vh = /* @__PURE__ */ j(f2, GR, (t) => { + var { + typed: e, + add: r, + unaryPlus: n + } = t, a = so({ + 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se +}), Jd = /* @__PURE__ */ xc({ + typed: se +}), DN = /* @__PURE__ */ wc({ + Complex: Ft, + config: qe, + typed: se +}), AN = /* @__PURE__ */ Ku({ + typed: se +}), EN = /* @__PURE__ */ L0({ + typed: se +}), SN = /* @__PURE__ */ t0({ + typed: se +}), CN = /* @__PURE__ */ $u({ + typed: se +}), fo = /* @__PURE__ */ Uf({ + typed: se +}), Wt = /* @__PURE__ */ n0({ + Complex: Ft, + typed: se +}), Yn = /* @__PURE__ */ $0({ + typed: se +}), Kh = /* @__PURE__ */ Nc({ + typed: se +}), TN = /* @__PURE__ */ Ac({ + BigNumber: He, + typed: se +}), Yd = /* @__PURE__ */ Sc({ + BigNumber: He, + typed: se +}), _N = /* @__PURE__ */ g0({ + typed: se +}), wt = /* @__PURE__ */ Ju({ + config: qe, + typed: se +}), MN = /* @__PURE__ */ dl({ + typed: se +}), Xd = /* @__PURE__ */ y0({ + typed: se +}), ON = /* @__PURE__ */ x0({ + Complex: Ft, + typed: se +}), FN = /* @__PURE__ */ j0({ + typed: se +}), qN = /* @__PURE__ */ J0({ + typed: se +}), ns = /* @__PURE__ */ xl({ + typed: se +}), em = /* @__PURE__ */ Y0({ + typed: se +}), IN = /* @__PURE__ */ Nl({ + format: ns, + typed: se +}), Ga = /* @__PURE__ */ z0({ + typed: se +}), en = /* @__PURE__ */ Uu({ + typed: se +}), di = /* @__PURE__ */ Gu({ + config: qe, + typed: se +}), ki = /* @__PURE__ */ Vu({ + config: qe, + typed: se +}), On = /* @__PURE__ */ Wu({ + equalScalar: wt, + typed: se +}), BN = /* @__PURE__ */ Sp({ + BigNumber: He, + config: qe +}), RN = /* @__PURE__ */ Qf({ + Complex: Ft, + typed: se +}), LN = /* @__PURE__ */ E0({ + Complex: Ft, + config: qe, + typed: se +}), vi = /* @__PURE__ */ S0({ + Complex: Ft, + config: qe, + typed: se +}), $i = /* @__PURE__ */ tl({ + typed: se +}), ar = /* @__PURE__ */ C0({ + typed: se +}), Ls = /* @__PURE__ */ G0({ + typed: se +}), Xn = /* @__PURE__ */ Xu({ + typed: se +}), PN = /* @__PURE__ */ wl({ + format: ns, + typed: se +}), kN = /* @__PURE__ */ Jf({ + config: qe, + typed: se +}), $N = /* @__PURE__ */ eo({ + typed: se +}), zN = /* @__PURE__ */ Yf({ + config: qe, + typed: se +}), Ha = /* @__PURE__ */ U0({ + typed: se +}), UN = /* @__PURE__ */ Tc({ + BigNumber: He, + typed: se +}), Kd = /* @__PURE__ */ M0({ + BigNumber: He, + Fraction: Pi, + complex: Wt, + typed: se +}), po = /* @__PURE__ */ Mc({ + typed: se +}), Kn = /* @__PURE__ */ Yu({ + Matrix: rs, + equalScalar: wt, + typed: se +}), GN = /* @__PURE__ */ l0({ + typed: se +}), HN = /* @__PURE__ */ F0({ + typed: se +}), QN = /* @__PURE__ */ e0({ + typed: se +}), bn = /* @__PURE__ */ m0({ + typed: se +}), VN = /* @__PURE__ */ Fc({ + typed: se +}), ev = /* @__PURE__ */ Zu({ + typed: se +}), WN = /* @__PURE__ */ cc({ + Complex: Ft, + config: qe, + typed: se +}), jN = /* @__PURE__ */ mc({ + BigNumber: He, + typed: se +}), tm = /* @__PURE__ */ Ka({ + isInteger: en, + typed: se +}), ZN = /* @__PURE__ */ dc({ + BigNumber: He, + Complex: Ft, + config: qe, + typed: se +}), ln = /* @__PURE__ */ r0({ + BigNumber: He, + typed: se +}), JN = /* @__PURE__ */ Gf({ + typed: se +}), YN = /* @__PURE__ */ Dc({ + typed: se +}), XN = /* @__PURE__ */ Cc({ + BigNumber: He, + typed: se +}), is = /* @__PURE__ */ ju({ + typed: se +}), KN = /* @__PURE__ */ Al({ + typed: se +}), eD = /* @__PURE__ */ Xf({ + config: qe, + typed: se +}), tD = /* @__PURE__ */ _c({ + BigNumber: He, + typed: se +}), rD = /* @__PURE__ */ Oc({ + typed: se +}), nD = /* @__PURE__ */ oc({ + SparseMatrix: Kn, + typed: se +}), dr = /* @__PURE__ */ O0({ + Complex: Ft, + config: qe, + typed: se +}), iD = /* @__PURE__ */ qc({ + typed: se +}), Gn = /* @__PURE__ */ c0({ + typed: se +}), aD = /* @__PURE__ */ pc({ + BigNumber: He, + Complex: Ft, + config: qe, + typed: se +}), sD = /* @__PURE__ */ bl({ + format: ns, + typed: se +}), oD = /* @__PURE__ */ Ec({ + BigNumber: He, + typed: se +}), fa = /* @__PURE__ */ i0({ + Fraction: Pi, + typed: se +}), zi = /* @__PURE__ */ Hu({ + typed: se +}), ze = /* @__PURE__ */ a0({ + DenseMatrix: yt, + Matrix: rs, + SparseMatrix: Kn, + typed: se +}), uD = /* @__PURE__ */ s0({ + isZero: On, + matrix: ze, + typed: se +}), lD = /* @__PURE__ */ gl({ + isNaN: is, + isNumeric: zi, + typed: se +}), gn = /* @__PURE__ */ El({ + bignumber: ln, + fraction: fa, + number: Xn +}), tv = /* @__PURE__ */ yl({ + config: qe, + multiplyScalar: ar, + numeric: gn, + typed: se +}), rv = /* @__PURE__ */ nl({ + isInteger: en, + matrix: ze, + typed: se +}), Tr = /* @__PURE__ */ ol({ + matrix: ze, + config: qe, + typed: se +}), cD = /* @__PURE__ */ ul({ + matrix: ze, + typed: se +}), as = /* @__PURE__ */ ll({ + matrix: ze, + typed: se +}), nv = /* @__PURE__ */ I0({ + BigNumber: He, + config: qe, + matrix: ze, + typed: se +}), yr = /* @__PURE__ */ fl({ + BigNumber: He, + config: qe, + matrix: ze, + typed: se +}), fD = /* @__PURE__ */ gc({ + Complex: Ft, + config: qe, + typed: se +}), iv = /* @__PURE__ */ d0({ + BigNumber: He, + Complex: Ft, + Fraction: Pi, + config: qe, + isNegative: di, + matrix: ze, + typed: se, + unaryMinus: Gn +}), Tt = /* @__PURE__ */ js({ + isInteger: en, + matrix: ze, + typed: se +}), pD = /* @__PURE__ */ Q0({ + prod: tv, + size: Tr, + typed: se +}), ss = /* @__PURE__ */ cl({ + conj: Yn, + transpose: as, + typed: se +}), av = /* @__PURE__ */ W0({ + DenseMatrix: yt, + SparseMatrix: Kn, + matrix: ze, + typed: se +}), rr = /* @__PURE__ */ Sl({ + numeric: gn, + typed: se +}), os = /* @__PURE__ */ ql({ + DenseMatrix: yt, + concat: Tt, + divideScalar: rr, + equalScalar: wt, + matrix: ze, + typed: se +}), wn = /* @__PURE__ */ Hl({ + DenseMatrix: yt, + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se +}), us = /* @__PURE__ */ Z0({ + matrix: ze, + typed: se +}), hD = /* @__PURE__ */ Qu({ + isNumeric: zi, + typed: se +}), gi = /* @__PURE__ */ X0({ + BigNumber: He, + DenseMatrix: yt, + SparseMatrix: Kn, + config: qe, + matrix: ze, + typed: se +}), mD = /* @__PURE__ */ K0({ + matrix: ze, + multiplyScalar: ar, + typed: se +}), ho = /* @__PURE__ */ Zl({ + DenseMatrix: yt, + concat: Tt, + config: qe, + matrix: ze, + typed: se +}), dD = /* @__PURE__ */ Pl({ + DenseMatrix: yt, + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se, + zeros: yr +}), sv = /* @__PURE__ */ Il({ + DenseMatrix: yt, + divideScalar: rr, + equalScalar: wt, + matrix: ze, + multiplyScalar: ar, + subtractScalar: bn, + typed: se +}), rm = /* @__PURE__ */ u0({ + flatten: us, + matrix: ze, + size: Tr, + typed: se +}), vD = /* @__PURE__ */ _0({ + BigNumber: He, + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se +}), gD = /* @__PURE__ */ rl({ + BigNumber: He, + config: qe, + matrix: ze, + typed: se +}), nm = /* @__PURE__ */ xf({ + addScalar: vr, + complex: Wt, + conj: Yn, + divideScalar: rr, + equal: wn, + identity: gi, + isZero: On, + matrix: ze, + multiplyScalar: ar, + sign: Kd, + sqrt: dr, + subtractScalar: bn, + typed: se, + unaryMinus: Gn, + zeros: yr +}), yD = /* @__PURE__ */ il({ + config: qe, + matrix: ze +}), xD = /* @__PURE__ */ kl({ + DenseMatrix: yt, + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se, + zeros: yr +}), kt = /* @__PURE__ */ Tl({ + BigNumber: He, + DenseMatrix: yt, + config: qe, + equalScalar: wt, + matrix: ze, + typed: se, + zeros: yr +}), Qr = /* @__PURE__ */ Vl({ + DenseMatrix: yt, + concat: Tt, + config: qe, + matrix: ze, + typed: se +}), Xt = /* @__PURE__ */ q0({ + DenseMatrix: yt, + concat: Tt, + equalScalar: wt, + matrix: ze, + subtractScalar: bn, + typed: se, + unaryMinus: Gn +}), bD = /* @__PURE__ */ Dl({ + concat: Tt, + matrix: ze, + typed: se +}), im = /* @__PURE__ */ f0({ + config: qe, + numeric: gn, + typed: se +}), am = /* @__PURE__ */ Bl({ + DenseMatrix: yt, + divideScalar: rr, + equalScalar: wt, + matrix: ze, + multiplyScalar: ar, + subtractScalar: bn, + typed: se +}), wD = /* @__PURE__ */ H0({ + DenseMatrix: yt, + concat: Tt, + matrix: ze, + typed: se +}), ut = /* @__PURE__ */ Hc({ + DenseMatrix: yt, + SparseMatrix: Kn, + addScalar: vr, + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se +}), ov = /* @__PURE__ */ bc({ + BigNumber: He, + DenseMatrix: yt, + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se +}), ND = /* @__PURE__ */ Qs({ + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se +}), DD = /* @__PURE__ */ Vs({ + DenseMatrix: yt, + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se +}), AD = /* @__PURE__ */ P0({ + DenseMatrix: yt, + concat: Tt, + matrix: ze, + typed: se +}), ED = /* @__PURE__ */ tp({ + addScalar: vr, + combinations: fo, + divideScalar: rr, + isInteger: en, + isNegative: di, + multiplyScalar: ar, + typed: se +}), Ui = /* @__PURE__ */ zl({ + BigNumber: He, + DenseMatrix: yt, + Fraction: Pi, + concat: Tt, + config: qe, + equalScalar: wt, + matrix: ze, + typed: se +}), uv = /* @__PURE__ */ Gl({ + concat: Tt, + matrix: ze, + typed: se +}), SD = /* @__PURE__ */ so({ + add: ut, + typed: se, + unaryPlus: im +}), sm = /* @__PURE__ */ Jl({ + equal: wn, + typed: se +}), CD = /* @__PURE__ */ Js({ + matrix: ze, + number: Xn, + subtract: Xt, + typed: se +}), TD = /* @__PURE__ */ Lf({ + abs: $t, + addScalar: vr, + deepEqual: sm, + divideScalar: rr, + multiplyScalar: ar, + sqrt: dr, + subtractScalar: bn, + typed: se +}), mo = /* @__PURE__ */ Wc({ + addScalar: vr, + conj: Yn, + multiplyScalar: ar, + size: Tr, + typed: se +}), _D = /* @__PURE__ */ Ql({ + compareText: uv, + isZero: On, + typed: se +}), lv = /* @__PURE__ */ Gs({ + DenseMatrix: yt, + config: qe, + equalScalar: wt, + matrix: ze, + round: kt, + typed: se, + zeros: yr +}), MD = /* @__PURE__ */ N0({ + BigNumber: He, + DenseMatrix: yt, + concat: Tt, + config: qe, + equalScalar: wt, + matrix: ze, + round: kt, + typed: se, + zeros: yr +}), OD = /* @__PURE__ */ Qc({ + abs: $t, + addScalar: vr, + divideScalar: rr, + isPositive: ki, + multiplyScalar: ar, + smaller: Qr, + sqrt: dr, + typed: se +}), cv = /* @__PURE__ */ ec({ + DenseMatrix: yt, + smaller: Qr +}), Rr = /* @__PURE__ */ tc({ + ImmutableDenseMatrix: cv, + getMatrixDataType: em +}), Vr = /* @__PURE__ */ jl({ + DenseMatrix: yt, + concat: Tt, + config: qe, + matrix: ze, + typed: se +}), vo = /* @__PURE__ */ _l({ + Complex: Ft, + config: qe, + divideScalar: rr, + typed: se +}), FD = /* @__PURE__ */ Rl({ + DenseMatrix: yt, + divideScalar: rr, + equalScalar: wt, + matrix: ze, + multiplyScalar: ar, + subtractScalar: bn, + typed: se +}), qD = /* @__PURE__ */ o0({ + flatten: us, + matrix: ze, + size: Tr, + typed: se +}), fv = /* @__PURE__ */ io({ + config: qe, + numeric: gn, + smaller: Qr, + typed: se +}), pv = /* @__PURE__ */ Hs({ + DenseMatrix: yt, + concat: Tt, + config: qe, + equalScalar: wt, + matrix: ze, + round: kt, + typed: se, + zeros: yr +}), it = /* @__PURE__ */ T0({ + addScalar: vr, + dot: mo, + equalScalar: wt, + matrix: ze, + multiplyScalar: ar, + typed: se +}), ID = /* @__PURE__ */ Ol({ + Complex: Ft, + config: qe, + divideScalar: rr, + typed: se +}), BD = /* @__PURE__ */ Ws({ + DenseMatrix: yt, + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se +}), go = /* @__PURE__ */ Xl({ + compare: Ui, + isNaN: is, + isNumeric: zi, + typed: se +}), RD = /* @__PURE__ */ $l({ + DenseMatrix: yt, + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se, + zeros: yr +}), hv = /* @__PURE__ */ bf({ + SparseMatrix: Kn, + abs: $t, + add: ut, + divideScalar: rr, + larger: Vr, + largerEq: ho, + multiply: it, + subtract: Xt, + transpose: as, + typed: se +}), hn = /* @__PURE__ */ Ks({ + add: ut, + matrix: ze, + typed: se, + zeros: yr +}), om = /* @__PURE__ */ ao({ + add: ut, + config: qe, + numeric: gn, + typed: se +}), mv = /* @__PURE__ */ jc({ + add: ut, + matrix: ze, + typed: se +}), dv = /* @__PURE__ */ Ll({ + DenseMatrix: yt, + divideScalar: rr, + equalScalar: wt, + matrix: ze, + multiplyScalar: ar, + subtractScalar: bn, + typed: se +}), LD = /* @__PURE__ */ fp({ + Complex: Ft, + add: ut, + multiply: it, + number: Xn, + typed: se +}), um = /* @__PURE__ */ v0({ + DenseMatrix: yt, + config: qe, + equalScalar: wt, + matrix: ze, + round: kt, + typed: se, + zeros: yr +}), Hn = /* @__PURE__ */ Ul({ + compare: Ui, + typed: se +}), PD = /* @__PURE__ */ rp({ + addScalar: vr, + combinations: fo, + isInteger: en, + isNegative: di, + isPositive: ki, + larger: Vr, + typed: se +}), kD = /* @__PURE__ */ V0({ + matrix: ze, + multiply: it, + subtract: Xt, + typed: se +}), lm = /* @__PURE__ */ Cf({ + divideScalar: rr, + isZero: On, + matrix: ze, + multiply: it, + subtractScalar: bn, + typed: se, + unaryMinus: Gn +}), $D = /* @__PURE__ */ R0({ + concat: Tt, + equalScalar: wt, + matrix: ze, + multiplyScalar: ar, + typed: se +}), vv = /* @__PURE__ */ rc({ + larger: Vr, + smaller: Qr +}), gv = /* @__PURE__ */ b0({ + Complex: Ft, + DenseMatrix: yt, + ceil: um, + equalScalar: wt, + floor: lv, + matrix: ze, + typed: se, + zeros: yr +}), yv = /* @__PURE__ */ Zc({ + Index: Rr, + typed: se +}), zD = /* @__PURE__ */ Pf({ + abs: $t, + add: ut, + addScalar: vr, + config: qe, + divideScalar: rr, + equalScalar: wt, + flatten: us, + isNumeric: zi, + isZero: On, + matrix: ze, + multiply: it, + multiplyScalar: ar, + smaller: Qr, + subtract: Xt, + typed: se +}), UD = /* @__PURE__ */ B0({ + BigNumber: He, + add: ut, + config: qe, + equal: wn, + isInteger: en, + mod: pv, + smaller: Qr, + typed: se, + xgcd: nv +}), GD = /* @__PURE__ */ A0({ + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se +}), HD = /* @__PURE__ */ Ml({ + Complex: Ft, + config: qe, + divideScalar: rr, + log: vo, + typed: se +}), yo = /* @__PURE__ */ no({ + config: qe, + larger: Vr, + numeric: gn, + typed: se +}), QD = /* @__PURE__ */ Ic({ + DenseMatrix: yt, + Index: Rr, + compareNatural: Hn, + size: Tr, + subset: hn, + typed: se +}), VD = /* @__PURE__ */ Rc({ + DenseMatrix: yt, + Index: Rr, + compareNatural: Hn, + size: Tr, + subset: hn, + typed: se +}), WD = /* @__PURE__ */ Pc({ + Index: Rr, + compareNatural: Hn, + size: Tr, + subset: hn, + typed: se +}), jD = /* @__PURE__ */ $c({ + Index: Rr, + compareNatural: Hn, + size: Tr, + subset: hn, + typed: se +}), aa = /* @__PURE__ */ Wl({ + DenseMatrix: yt, + concat: Tt, + config: qe, + matrix: ze, + typed: se +}), ZD = /* @__PURE__ */ Kl({ + compare: Ui, + compareNatural: Hn, + matrix: ze, + typed: se +}), JD = /* @__PURE__ */ Yl({ + DenseMatrix: yt, + concat: Tt, + config: qe, + equalScalar: wt, + matrix: ze, + typed: se +}), YD = /* @__PURE__ */ ro({ + concat: Tt, + equalScalar: wt, + matrix: ze, + not: Ls, + typed: se, + zeros: yr +}), sa = /* @__PURE__ */ Ys({ + bignumber: ln, + matrix: ze, + add: ut, + config: qe, + isPositive: ki, + larger: Vr, + largerEq: ho, + smaller: Qr, + smallerEq: aa, + typed: se +}), XD = /* @__PURE__ */ Xs({ + Index: Rr, + matrix: ze, + range: sa, + typed: se +}), xv = /* @__PURE__ */ Bc({ + DenseMatrix: yt, + Index: Rr, + compareNatural: Hn, + size: Tr, + subset: hn, + typed: se +}), KD = /* @__PURE__ */ kc({ + Index: Rr, + compareNatural: Hn, + size: Tr, + subset: hn, + typed: se +}), bv = /* @__PURE__ */ Uc({ + Index: Rr, + concat: Tt, + setDifference: xv, + size: Tr, + subset: hn, + typed: se +}), wv = /* @__PURE__ */ nc({ + FibonacciHeap: vv, + addScalar: vr, + equalScalar: wt +}), Nv = /* @__PURE__ */ Zs({ + Index: Rr, + matrix: ze, + range: sa, + typed: se +}), Gi = /* @__PURE__ */ Tf({ + abs: $t, + addScalar: vr, + det: lm, + divideScalar: rr, + identity: gi, + matrix: ze, + multiply: it, + typed: se, + unaryMinus: Gn +}), Dv = /* @__PURE__ */ yf({ + DenseMatrix: yt, + Spa: wv, + SparseMatrix: Kn, + abs: $t, + addScalar: vr, + divideScalar: rr, + equalScalar: wt, + larger: Vr, + matrix: ze, + multiplyScalar: ar, + subtractScalar: bn, + typed: se, + unaryMinus: Gn +}), eA = /* @__PURE__ */ _f({ + Complex: Ft, + add: ut, + ctranspose: ss, + deepEqual: sm, + divideScalar: rr, + dot: mo, + dotDivide: os, + equal: wn, + inv: Gi, + matrix: ze, + multiply: it, + typed: se +}), _t = /* @__PURE__ */ Cl({ + Complex: Ft, + config: qe, + fraction: fa, + identity: gi, + inv: Gi, + matrix: ze, + multiply: it, + number: Xn, + typed: se +}), Av = /* @__PURE__ */ Lc({ + DenseMatrix: yt, + Index: Rr, + compareNatural: Hn, + size: Tr, + subset: hn, + typed: se +}), tA = /* @__PURE__ */ Gc({ + Index: Rr, + concat: Tt, + setIntersect: Av, + setSymDifference: bv, + size: Tr, + subset: hn, + typed: se +}), rA = /* @__PURE__ */ Ff({ + abs: $t, + add: ut, + identity: gi, + inv: Gi, + map: $i, + max: yo, + multiply: it, + size: Tr, + sqrt: dr, + subtract: Xt, + typed: se +}), st = /* @__PURE__ */ ac({ + BigNumber: He, + Complex: Ft, + Fraction: Pi, + abs: $t, + addScalar: vr, + config: qe, + divideScalar: rr, + equal: wn, + fix: gv, + format: ns, + isNumeric: zi, + multiplyScalar: ar, + number: Xn, + pow: _t, + round: kt, + subtractScalar: bn +}), nA = /* @__PURE__ */ Pp({ + BigNumber: He, + Unit: st, + config: qe +}), iA = /* @__PURE__ */ xh({ + BigNumber: He, + Unit: st, + config: qe +}), aA = /* @__PURE__ */ oh({ + BigNumber: He, + Unit: st, + config: qe +}), sA = /* @__PURE__ */ zp({ + BigNumber: He, + Unit: st, + config: qe +}), oA = /* @__PURE__ */ lh({ + BigNumber: He, + Unit: st, + config: qe +}), uA = /* @__PURE__ */ Up({ + BigNumber: He, + Unit: st, + config: qe +}), lA = /* @__PURE__ */ kp({ + BigNumber: He, + Unit: st, + config: qe +}), cA = /* @__PURE__ */ eh({ + BigNumber: He, + Unit: st, + config: qe +}), fA = /* @__PURE__ */ Fl({ + DenseMatrix: yt, + concat: Tt, + equalScalar: wt, + matrix: ze, + pow: _t, + typed: se +}), pA = /* @__PURE__ */ Lp({ + BigNumber: He, + Unit: st, + config: qe +}), hA = /* @__PURE__ */ $p({ + BigNumber: He, + Unit: st, + config: qe +}), mA = /* @__PURE__ */ Of({ + abs: $t, + add: ut, + identity: gi, + inv: Gi, + multiply: it, + typed: se +}), dA = /* @__PURE__ */ ch({ + BigNumber: He, + Unit: st, + config: qe +}), Ev = /* @__PURE__ */ pl({ + addScalar: vr, + ceil: um, + conj: Yn, + divideScalar: rr, + dotDivide: os, + exp: Xd, + i: Vd, + log2: vi, + matrix: ze, + multiplyScalar: ar, + pow: _t, + tau: jd, + typed: se +}), cm = /* @__PURE__ */ Hf({ + BigNumber: He, + Complex: Ft, + config: qe, + multiplyScalar: ar, + pow: _t, + typed: se +}), vA = /* @__PURE__ */ qp({ + BigNumber: He, + Unit: st, + config: qe +}), gA = /* @__PURE__ */ Xp({ + BigNumber: He, + Unit: st, + config: qe +}), yA = /* @__PURE__ */ hl({ + conj: Yn, + dotDivide: os, + fft: Ev, + typed: se +}), xA = /* @__PURE__ */ Vp({ + BigNumber: He, + Unit: st, + config: qe +}), bA = /* @__PURE__ */ ph({ + BigNumber: He, + Unit: st, + config: qe +}), wA = /* @__PURE__ */ Rp({ + BigNumber: He, + Unit: st, + config: qe +}), NA = /* @__PURE__ */ bh({ + BigNumber: He, + Unit: st, + config: qe +}), DA = /* @__PURE__ */ mh({ + BigNumber: He, + Unit: st, + config: qe +}), AA = /* @__PURE__ */ th({ + BigNumber: He, + Unit: st, + config: qe +}), EA = /* @__PURE__ */ Qp({ + BigNumber: He, + Unit: st, + config: qe +}), SA = /* @__PURE__ */ Sh({ + BigNumber: He, + Unit: st, + config: qe +}), CA = /* @__PURE__ */ Dh({ + BigNumber: He, + Unit: st, + config: qe +}), TA = /* @__PURE__ */ Ch({ + BigNumber: He, + Unit: st, + config: qe +}), _A = /* @__PURE__ */ Kp({ + BigNumber: He, + Unit: st, + config: qe +}), MA = /* @__PURE__ */ rh({ + BigNumber: He, + Unit: st, + config: qe +}), OA = /* @__PURE__ */ Bp({ + BigNumber: He, + Unit: st, + config: qe +}), FA = /* @__PURE__ */ nh({ + BigNumber: He, + Unit: st, + config: qe +}), qA = /* @__PURE__ */ gh({ + BigNumber: He, + Unit: st, + config: qe +}), IA = /* @__PURE__ */ Fp({ + BigNumber: He, + Unit: st, + config: qe +}), BA = /* @__PURE__ */ yh({ + BigNumber: He, + Unit: st, + config: qe +}), RA = /* @__PURE__ */ ih({ + BigNumber: He, + Unit: st, + config: qe +}), LA = /* @__PURE__ */ uh({ + BigNumber: He, + Unit: st, + config: qe +}), PA = /* @__PURE__ */ Wp({ + BigNumber: He, + Unit: st, + config: qe +}), kA = /* @__PURE__ */ uc({ + Unit: st, + typed: se +}), ur = /* @__PURE__ */ Rf({ + divideScalar: rr, + equalScalar: wt, + inv: Gi, + matrix: ze, + multiply: it, + typed: se +}), $A = /* @__PURE__ */ Zp({ + BigNumber: He, + Unit: st, + config: qe +}), ls = /* @__PURE__ */ Vf({ + gamma: cm, + typed: se +}), zA = /* @__PURE__ */ fh({ + BigNumber: He, + Unit: st, + config: qe +}), UA = /* @__PURE__ */ Nh({ + BigNumber: He, + Unit: st, + config: qe +}), GA = /* @__PURE__ */ Gp({ + BigNumber: He, + Unit: st, + config: qe +}), Sv = /* @__PURE__ */ wf({ + DenseMatrix: yt, + lsolve: sv, + lup: Dv, + matrix: ze, + slu: hv, + typed: se, + usolve: am +}), HA = /* @__PURE__ */ Hp({ + BigNumber: He, + Unit: st, + config: qe +}), QA = /* @__PURE__ */ wh({ + BigNumber: He, + Unit: st, + config: qe +}), VA = /* @__PURE__ */ jf({ + add: ut, + divide: ur, + factorial: ls, + isInteger: en, + isPositive: ki, + multiply: it, + typed: se +}), WA = /* @__PURE__ */ Zf({ + factorial: ls, + typed: se +}), jA = /* @__PURE__ */ Ah({ + BigNumber: He, + Unit: st, + config: qe +}), ZA = /* @__PURE__ */ Nf({ + add: ut, + cbrt: iv, + divide: ur, + equalScalar: wt, + im: Ga, + isZero: On, + multiply: it, + re: Ha, + sqrt: dr, + subtract: Xt, + typeOf: ev, + typed: se, + unaryMinus: Gn +}), JA = /* @__PURE__ */ zc({ + compareNatural: Hn, + typed: se +}), YA = /* @__PURE__ */ ml({ + abs: $t, + add: ut, + bignumber: ln, + divide: ur, + isNegative: di, + isPositive: ki, + larger: Vr, + map: $i, + matrix: ze, + max: yo, + multiply: it, + smaller: Qr, + subtract: Xt, + typed: se, + unaryMinus: Gn +}), Cv = /* @__PURE__ */ Kf({ + bignumber: ln, + addScalar: vr, + combinations: fo, + divideScalar: rr, + factorial: ls, + isInteger: en, + isNegative: di, + larger: Vr, + multiplyScalar: ar, + number: Xn, + pow: _t, + subtractScalar: bn, + typed: se +}), XA = /* @__PURE__ */ sc({ + Unit: st, + typed: se +}), KA = /* @__PURE__ */ ep({ + addScalar: vr, + isInteger: en, + isNegative: di, + stirlingS2: Cv, + typed: se +}), Tv = /* @__PURE__ */ Mf({ + abs: $t, + add: ut, + addScalar: vr, + atan: Jd, + bignumber: ln, + column: Nv, + complex: Wt, + config: qe, + cos: Kh, + diag: av, + divideScalar: rr, + dot: mo, + equal: wn, + flatten: us, + im: Ga, + inv: Gi, + larger: Vr, + matrix: ze, + matrixFromColumns: rm, + multiply: it, + multiplyScalar: ar, + number: Xn, + qr: nm, + re: Ha, + reshape: rv, + sin: po, + size: Tr, + smaller: Qr, + sqrt: dr, + subtract: Xt, + typed: se, + usolve: am, + usolveAll: dv +}), eE = /* @__PURE__ */ Jp({ + BigNumber: He, + Unit: st, + config: qe +}), tE = /* @__PURE__ */ hh({ + BigNumber: He, + Unit: st, + config: qe +}), rE = /* @__PURE__ */ Wf({ + divide: ur, + dotDivide: os, + isNumeric: zi, + log: vo, + map: $i, + matrix: ze, + multiply: it, + sum: om, + typed: se +}), _v = /* @__PURE__ */ oo({ + add: ut, + divide: ur, + typed: se +}), nE = /* @__PURE__ */ dh({ + BigNumber: He, + Unit: st, + config: qe +}), iE = /* @__PURE__ */ Ip({ + BigNumber: He, + Unit: st, + config: qe +}), aE = /* @__PURE__ */ lo({ + bignumber: ln, + add: ut, + compare: Ui, + divide: ur, + isInteger: en, + larger: Vr, + multiply: it, + partitionSelect: go, + smaller: Qr, + smallerEq: aa, + subtract: Xt, + typed: se +}), fm = /* @__PURE__ */ uo({ + add: ut, + apply: tm, + divide: ur, + isNaN: is, + multiply: it, + subtract: Xt, + typed: se +}), sE = /* @__PURE__ */ jp({ + BigNumber: He, + Unit: st, + config: qe +}), Mv = /* @__PURE__ */ kf({ + add: ut, + compare: Ui, + divide: ur, + partitionSelect: go, + typed: se +}), oE = /* @__PURE__ */ zf({ + add: ut, + divide: ur, + matrix: ze, + mean: _v, + multiply: it, + pow: _t, + sqrt: dr, + subtract: Xt, + sum: om, + typed: se +}), uE = /* @__PURE__ */ pp({ + Complex: Ft, + add: ut, + divide: ur, + matrix: ze, + multiply: it, + typed: se +}), lE = /* @__PURE__ */ $f({ + abs: $t, + map: $i, + median: Mv, + subtract: Xt, + typed: se +}), cE = /* @__PURE__ */ co({ + map: $i, + sqrt: dr, + typed: se, + variance: fm +}), fE = /* @__PURE__ */ vl({ + BigNumber: He, + Complex: Ft, + add: ut, + config: qe, + divide: ur, + equal: wn, + factorial: ls, + gamma: cm, + isNegative: di, + multiply: it, + pi: Oi, + pow: _t, + sin: po, + smallerEq: aa, + subtract: Xt, + typed: se +}), pm = /* @__PURE__ */ Vc({ + abs: $t, + add: ut, + conj: Yn, + ctranspose: ss, + eigs: Tv, + equalScalar: wt, + larger: Vr, + matrix: ze, + multiply: it, + pow: _t, + smaller: Qr, + sqrt: dr, + typed: se +}), Ov = /* @__PURE__ */ sl({ + BigNumber: He, + DenseMatrix: yt, + SparseMatrix: Kn, + addScalar: vr, + config: qe, + cos: Kh, + matrix: ze, + multiplyScalar: ar, + norm: pm, + sin: po, + typed: se, + unaryMinus: Gn +}), pE = /* @__PURE__ */ Eh({ + BigNumber: He, + Unit: st, + config: qe +}), Fv = /* @__PURE__ */ If({ + identity: gi, + matrix: ze, + multiply: it, + norm: pm, + qr: nm, + subtract: Xt, + typed: se +}), hE = /* @__PURE__ */ al({ + multiply: it, + rotationMatrix: Ov, + typed: se +}), qv = /* @__PURE__ */ qf({ + abs: $t, + add: ut, + concat: Tt, + identity: gi, + index: yv, + lusolve: Sv, + matrix: ze, + matrixFromColumns: rm, + multiply: it, + range: sa, + schur: Fv, + subset: hn, + subtract: Xt, + transpose: as, + typed: se +}), mE = /* @__PURE__ */ Bf({ + matrix: ze, + multiply: it, + sylvester: qv, + transpose: as, + typed: se +}), cs = {}, fs = {}, dE = {}, kr = Jc({ + mathWithTransform: fs +}), pa = sf({ + Node: kr +}), ei = of({ + Node: kr +}), Hi = uf({ + Node: kr +}), Iv = cf({ + Node: kr +}), ha = Xc({ + Node: kr +}), Bv = ef({ + Node: kr, + ResultSet: Wd +}), Rv = tf({ + Node: kr +}), yi = rf({ + Node: kr +}), Lv = lf({ + Node: kr +}), vE = hp({ + classes: dE +}), hm = Af({ + math: cs, + typed: se +}), Pv = nf({ + Node: kr, + typed: se +}), gE = Sf({ + Chain: hm, + typed: se +}), ma = af({ + Node: kr, + size: Tr +}), da = Yc({ + Node: kr, + subset: hn +}), kv = Kc({ + matrix: ze, + Node: kr, + subset: hn +}), xi = ff({ + Unit: st, + Node: kr, + math: cs +}), bi = pf({ + Node: kr, + SymbolNode: xi, + math: cs +}), Et = hf({ + AccessorNode: da, + ArrayNode: ha, + AssignmentNode: kv, + BlockNode: Bv, + ConditionalNode: Rv, + ConstantNode: yi, + FunctionAssignmentNode: Pv, + FunctionNode: bi, + IndexNode: ma, + ObjectNode: pa, + OperatorNode: ei, + ParenthesisNode: Hi, + RangeNode: Lv, + RelationalNode: Iv, + SymbolNode: xi, + config: qe, + numeric: gn, + typed: se +}), $v = op({ + ConstantNode: yi, + FunctionNode: bi, + OperatorNode: ei, + ParenthesisNode: Hi, + parse: Et, + typed: se +}), mm = ap({ + bignumber: ln, + fraction: fa, + AccessorNode: da, + ArrayNode: ha, + ConstantNode: yi, + FunctionNode: bi, + IndexNode: ma, + ObjectNode: pa, + OperatorNode: ei, + SymbolNode: xi, + config: qe, + mathWithTransform: fs, + matrix: ze, + typed: se +}), yE = mf({ + parse: Et, + typed: se +}), dm = sp({ + AccessorNode: da, + ArrayNode: ha, + ConstantNode: yi, + FunctionNode: bi, + IndexNode: ma, + ObjectNode: pa, + OperatorNode: ei, + ParenthesisNode: Hi, + SymbolNode: xi, + add: ut, + divide: ur, + equal: wn, + isZero: On, + multiply: it, + parse: Et, + pow: _t, + subtract: Xt, + typed: se +}), Br = df({ + parse: Et, + typed: se +}), zv = Df({ + evaluate: Br +}), Uv = vf({ + evaluate: Br +}), xo = ip({ + bignumber: ln, + fraction: fa, + AccessorNode: da, + ArrayNode: ha, + ConstantNode: yi, + FunctionNode: bi, + IndexNode: ma, + ObjectNode: pa, + OperatorNode: ei, + ParenthesisNode: Hi, + SymbolNode: xi, + add: ut, + config: qe, + divide: ur, + equal: wn, + isZero: On, + mathWithTransform: fs, + matrix: ze, + multiply: it, + parse: Et, + pow: _t, + resolve: $v, + simplifyConstant: mm, + simplifyCore: dm, + subtract: Xt, + typed: se +}), xE = up({ + OperatorNode: ei, + parse: Et, + simplify: xo, + typed: se +}), bE = np({ + parse: Et, + typed: se +}), wE = gf({ + Parser: Uv, + typed: se +}), NE = cp({ + bignumber: ln, + fraction: fa, + AccessorNode: da, + ArrayNode: ha, + ConstantNode: yi, + FunctionNode: bi, + IndexNode: ma, + ObjectNode: pa, + OperatorNode: ei, + ParenthesisNode: Hi, + SymbolNode: xi, + add: ut, + config: qe, + divide: ur, + equal: wn, + isZero: On, + mathWithTransform: fs, + matrix: ze, + multiply: it, + parse: Et, + pow: _t, + simplify: xo, + simplifyConstant: mm, + simplifyCore: dm, + subtract: Xt, + typed: se +}), DE = lp({ + ConstantNode: yi, + FunctionNode: bi, + OperatorNode: ei, + ParenthesisNode: Hi, + SymbolNode: xi, + config: qe, + equal: wn, + isZero: On, + numeric: gn, + parse: Et, + simplify: xo, + typed: se +}), AE = Ef({ + Help: zv, + mathWithTransform: fs, + typed: se +}); +hr(cs, { + e: ud, + false: tN, + fineStructure: rN, + i: Vd, + Infinity: nN, + LN10: iN, + LOG10E: aN, + NaN: sN, + null: oN, + phi: uN, + SQRT1_2: cN, + sackurTetrode: fN, + tau: jd, + true: pN, + E: ud, + version: hN, + efimovFactor: mN, + LN2: dN, + pi: Oi, + replacer: vN, + reviver: vE, + SQRT2: gN, + typed: se, + PI: Oi, + weakMixingAngle: yN, + abs: $t, + acos: Zd, + acot: xN, + acsc: bN, + addScalar: vr, + arg: Rs, + asech: wN, + asinh: NN, + atan: Jd, + atanh: DN, + bigint: AN, + bitNot: EN, + boolean: SN, + clone: CN, + combinations: fo, + complex: Wt, + conj: Yn, + cos: Kh, + cot: TN, + csc: Yd, + cube: _N, + equalScalar: wt, + erf: MN, + exp: Xd, + expm1: ON, + filter: FN, + forEach: qN, + format: ns, + getMatrixDataType: em, + hex: IN, + im: Ga, + isInteger: en, + isNegative: di, + isPositive: ki, + isZero: On, + LOG2E: BN, + lgamma: RN, + log10: LN, + log2: vi, + map: $i, + multiplyScalar: ar, + not: Ls, + number: Xn, + oct: PN, + pickRandom: kN, + print: $N, + random: zN, + re: Ha, + sec: UN, + sign: Kd, + sin: po, + splitUnit: GN, + square: HN, + string: QN, + subtractScalar: bn, + tan: VN, + typeOf: ev, + acosh: WN, + acsch: jN, + apply: tm, + asec: ZN, + bignumber: ln, + chain: gE, + combinationsWithRep: JN, + cosh: YN, + csch: XN, + isNaN: is, + isPrime: KN, + randomInt: eD, + sech: tD, + sinh: rD, + sparse: nD, + sqrt: dr, + tanh: iD, + unaryMinus: Gn, + acoth: aD, + bin: sD, + coth: oD, + fraction: fa, + isNumeric: zi, + matrix: ze, + matrixFromFunction: uD, + mode: lD, + numeric: gn, + prod: tv, + reshape: rv, + size: Tr, + squeeze: cD, + transpose: as, + xgcd: nv, + zeros: yr, + asin: fD, + cbrt: iv, + concat: Tt, + count: pD, + ctranspose: ss, + diag: av, + divideScalar: rr, + dotDivide: os, + equal: wn, + flatten: us, + hasNumericValue: hD, + identity: gi, + kron: mD, + largerEq: ho, + leftShift: dD, + lsolve: sv, + matrixFromColumns: rm, + nthRoot: vD, + ones: gD, + qr: nm, + resize: yD, + rightArithShift: xD, + round: kt, + smaller: Qr, + subtract: Xt, + to: bD, + unaryPlus: im, + usolve: am, + xor: wD, + add: ut, + atan2: ov, + bitAnd: ND, + bitOr: DD, + bitXor: AD, + catalan: ED, + compare: Ui, + compareText: uv, + cumsum: SD, + deepEqual: sm, + diff: CD, + distance: TD, + dot: mo, + equalText: _D, + floor: lv, + gcd: MD, + hypot: OD, + larger: Vr, + log: vo, + lsolveAll: FD, + matrixFromRows: qD, + min: fv, + mod: pv, + multiply: it, + nthRoots: ID, + or: BD, + partitionSelect: go, + rightLogShift: RD, + slu: hv, + subset: hn, + sum: om, + trace: mv, + usolveAll: dv, + zpk2tf: LD, + ceil: um, + compareNatural: Hn, + composition: PD, + cross: kD, + det: lm, + dotMultiply: $D, + fix: gv, + index: yv, + intersect: zD, + invmod: UD, + lcm: GD, + log1p: HD, + max: yo, + setCartesian: QD, + setDistinct: VD, + setIsSubset: WD, + setPowerset: jD, + smallerEq: aa, + sort: ZD, + unequal: JD, + and: YD, + range: sa, + row: XD, + setDifference: xv, + setMultiplicity: KD, + setSymDifference: bv, + column: Nv, + inv: Gi, + lup: Dv, + pinv: eA, + pow: _t, + setIntersect: Av, + setUnion: tA, + sqrtm: rA, + vacuumImpedance: nA, + wienDisplacement: iA, + atomicMass: aA, + bohrMagneton: sA, + boltzmann: oA, + conductanceQuantum: uA, + coulomb: lA, + deuteronMass: cA, + dotPow: fA, + electricConstant: pA, + elementaryCharge: hA, + expm: mA, + faraday: dA, + fft: Ev, + gamma: cm, + gravitationConstant: vA, + hartreeEnergy: gA, + ifft: yA, + klitzing: xA, + loschmidt: bA, + magneticConstant: wA, + molarMass: NA, + molarPlanckConstant: DA, + neutronMass: AA, + nuclearMagneton: EA, + planckCharge: SA, + planckLength: CA, + planckTemperature: TA, + protonMass: _A, + quantumOfCirculation: MA, + reducedPlanckConstant: OA, + rydberg: FA, + secondRadiation: qA, + speedOfLight: IA, + stefanBoltzmann: BA, + thomsonCrossSection: RA, + avogadro: LA, + bohrRadius: PA, + createUnit: kA, + divide: ur, + electronMass: $A, + factorial: ls, + firstRadiation: zA, + gravity: UA, + inverseConductanceQuantum: GA, + lusolve: Sv, + magneticFluxQuantum: HA, + molarMassC12: QA, + multinomial: VA, + parse: Et, + permutations: WA, + planckMass: jA, + polynomialRoot: ZA, + resolve: $v, + setSize: JA, + simplifyConstant: mm, + solveODE: YA, + stirlingS2: Cv, + unit: XA, + bellNumbers: KA, + compile: yE, + eigs: Tv, + fermiCoupling: eE, + gasConstant: tE, + kldivergence: rE, + mean: _v, + molarVolume: nE, + planckConstant: iE, + quantileSeq: aE, + simplifyCore: dm, + variance: fm, + classicalElectronRadius: sE, + evaluate: Br, + median: Mv, + simplify: xo, + symbolicEqual: xE, + corr: oE, + freqz: uE, + leafCount: bE, + mad: lE, + parser: wE, + rationalize: NE, + std: cE, + zeta: fE, + derivative: DE, + norm: pm, + rotationMatrix: Ov, + help: AE, + planckTime: pE, + schur: Fv, + rotate: hE, + sylvester: qv, + lyap: mE, + config: qe +}); +hr(fs, cs, { + filter: Oh({ + typed: se + }), + forEach: Fh({ + typed: se + }), + map: Ih({ + typed: se + }), + apply: _h({ + isInteger: en, + typed: se + }), + or: Jh({ + DenseMatrix: yt, + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se + }), + and: Zh({ + add: ut, + concat: Tt, + equalScalar: wt, + matrix: ze, + not: Ls, + typed: se, + zeros: yr + }), + concat: zh({ + isInteger: en, + matrix: ze, + typed: se + }), + max: Bh({ + config: qe, + larger: Vr, + numeric: gn, + typed: se + }), + print: jh({ + add: ut, + matrix: ze, + typed: se, + zeros: yr + }), + bitAnd: Yh({ + add: ut, + concat: Tt, + equalScalar: wt, + matrix: ze, + not: Ls, + typed: se, + zeros: yr + }), + diff: Uh({ + bignumber: ln, + matrix: ze, + number: Xn, + subtract: Xt, + typed: se + }), + min: Lh({ + config: qe, + numeric: gn, + smaller: Qr, + typed: se + }), + subset: $h({ + add: ut, + matrix: ze, + typed: se, + zeros: yr + }), + bitOr: Xh({ + DenseMatrix: yt, + concat: Tt, + equalScalar: wt, + matrix: ze, + typed: se + }), + cumsum: Vh({ + add: ut, + typed: se, + unaryPlus: im + }), + index: qh({ + Index: Rr, + getMatrixDataType: em + }), + sum: Hh({ + add: ut, + config: qe, + numeric: gn, + typed: se + }), + range: Ph({ + bignumber: ln, + matrix: ze, + add: ut, + config: qe, + isPositive: ki, + larger: Vr, + largerEq: ho, + smaller: Qr, + smallerEq: aa, + typed: se + }), + row: kh({ + Index: Rr, + matrix: ze, + range: sa, + typed: se + }), + column: Mh({ + Index: Rr, + matrix: ze, + range: sa, + typed: se + }), + mean: Rh({ + add: ut, + divide: ur, + typed: se + }), + quantileSeq: Qh({ + add: ut, + bignumber: ln, + compare: Ui, + divide: ur, + isInteger: en, + larger: Vr, + multiply: it, + partitionSelect: go, + smaller: Qr, + smallerEq: aa, + subtract: Xt, + typed: se + }), + variance: Wh({ + add: ut, + apply: tm, + divide: ur, + isNaN: is, + multiply: it, + subtract: Xt, + typed: se + }), + std: Gh({ + map: $i, + sqrt: dr, + typed: se, + variance: fm + }) +}); +hr(dE, { + BigNumber: He, + Complex: Ft, + Fraction: Pi, + Matrix: rs, + Node: kr, + ObjectNode: pa, + OperatorNode: ei, + ParenthesisNode: Hi, + Range: lN, + RelationalNode: Iv, + ResultSet: Wd, + ArrayNode: ha, + BlockNode: Bv, + ConditionalNode: Rv, + ConstantNode: yi, + DenseMatrix: yt, + RangeNode: Lv, + Chain: hm, + FunctionAssignmentNode: Pv, + SparseMatrix: Kn, + IndexNode: ma, + ImmutableDenseMatrix: cv, + Index: Rr, + AccessorNode: da, + AssignmentNode: kv, + FibonacciHeap: vv, + Spa: wv, + Unit: st, + SymbolNode: xi, + FunctionNode: bi, + Help: zv, + Parser: Uv +}); +hm.createProxy(cs); +var Qe = { + createBigNumberClass: qu +}, jt = { + createComplexClass: Iu +}, vm = { + createMatrixClass: Lu +}, bt = { + MatrixDependencies: vm, + createDenseMatrixClass: ku +}, va = { + createFractionClass: Bu +}, oe = { + BigNumberDependencies: Qe, + ComplexDependencies: jt, + DenseMatrixDependencies: bt, + FractionDependencies: va, + createTyped: Tu +}, an = { + typedDependencies: oe, + createAbs: p0 +}, Zr = { + createNode: Jc +}, At = { + typedDependencies: oe, + createEqualScalar: Ju +}, wi = { + MatrixDependencies: vm, + equalScalarDependencies: At, + typedDependencies: oe, + createSparseMatrixClass: Yu +}, wr = { + typedDependencies: oe, + createAddScalar: h0 +}, mn = { + typedDependencies: oe, + createIsInteger: Uu +}, Ue = { + DenseMatrixDependencies: bt, + MatrixDependencies: vm, + SparseMatrixDependencies: wi, + typedDependencies: oe, + createMatrix: a0 +}, qt = { + isIntegerDependencies: mn, + matrixDependencies: Ue, + typedDependencies: oe, + createConcat: js +}, St = { + DenseMatrixDependencies: bt, + SparseMatrixDependencies: wi, + addScalarDependencies: wr, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createAdd: Hc +}, $r = { + BigNumberDependencies: Qe, + matrixDependencies: Ue, + typedDependencies: oe, + createZeros: fl +}, Nn = { + addDependencies: St, + matrixDependencies: Ue, + typedDependencies: oe, + zerosDependencies: $r, + createSubset: Ks +}, ps = { + NodeDependencies: Zr, + subsetDependencies: Nn, + createAccessorNode: Yc +}, t6 = { + ComplexDependencies: jt, + typedDependencies: oe, + createAcos: lc +}, r6 = { + ComplexDependencies: jt, + typedDependencies: oe, + createAcosh: cc +}, n6 = { + BigNumberDependencies: Qe, + typedDependencies: oe, + createAcot: fc +}, i6 = { + BigNumberDependencies: Qe, + ComplexDependencies: jt, + typedDependencies: oe, + createAcoth: pc +}, a6 = { + BigNumberDependencies: Qe, + ComplexDependencies: jt, + typedDependencies: oe, + createAcsc: hc +}, s6 = { + BigNumberDependencies: Qe, + typedDependencies: oe, + createAcsch: mc +}, gm = { + typedDependencies: oe, + createNot: G0 +}, o6 = { + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + notDependencies: gm, + typedDependencies: oe, + zerosDependencies: $r, + createAnd: ro +}, u6 = { + addDependencies: St, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + notDependencies: gm, + typedDependencies: oe, + zerosDependencies: $r, + createAndTransform: Zh +}, Gv = { + isIntegerDependencies: mn, + typedDependencies: oe, + createApply: Ka +}, l6 = { + isIntegerDependencies: mn, + typedDependencies: oe, + createApplyTransform: _h +}, c6 = { + typedDependencies: oe, + createArg: k0 +}, hs = { + NodeDependencies: Zr, + createArrayNode: Xc +}, f6 = { + BigNumberDependencies: Qe, + ComplexDependencies: jt, + typedDependencies: oe, + createAsec: dc +}, p6 = { + BigNumberDependencies: Qe, + ComplexDependencies: jt, + typedDependencies: oe, + createAsech: vc +}, h6 = { + ComplexDependencies: jt, + typedDependencies: oe, + createAsin: gc +}, m6 = { + typedDependencies: oe, + createAsinh: yc +}, EE = { + matrixDependencies: Ue, + NodeDependencies: Zr, + subsetDependencies: Nn, + createAssignmentNode: Kc +}, SE = { + typedDependencies: oe, + createAtan: xc +}, d6 = { + BigNumberDependencies: Qe, + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createAtan2: bc +}, v6 = { + ComplexDependencies: jt, + typedDependencies: oe, + createAtanh: wc +}, Dn = { + BigNumberDependencies: Qe, + typedDependencies: oe, + createBignumber: r0 +}, ms = { + FractionDependencies: va, + typedDependencies: oe, + createFraction: i0 +}, Ni = { + typedDependencies: oe, + createNumber: Xu +}, Fn = { + bignumberDependencies: Dn, + fractionDependencies: ms, + numberDependencies: Ni, + createNumeric: El +}, nr = { + numericDependencies: Fn, + typedDependencies: oe, + createDivideScalar: Sl +}, qn = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createEqual: Hl +}, ds = { + BigNumberDependencies: Qe, + DenseMatrixDependencies: bt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + zerosDependencies: $r, + createRound: Tl +}, Hv = { + DenseMatrixDependencies: bt, + equalScalarDependencies: At, + matrixDependencies: Ue, + roundDependencies: ds, + typedDependencies: oe, + zerosDependencies: $r, + createCeil: v0 +}, CE = { + DenseMatrixDependencies: bt, + equalScalarDependencies: At, + matrixDependencies: Ue, + roundDependencies: ds, + typedDependencies: oe, + zerosDependencies: $r, + createFloor: Gs +}, TE = { + ComplexDependencies: jt, + DenseMatrixDependencies: bt, + ceilDependencies: Hv, + equalScalarDependencies: At, + floorDependencies: CE, + matrixDependencies: Ue, + typedDependencies: oe, + zerosDependencies: $r, + createFix: b0 +}, bo = { + typedDependencies: oe, + createFormat: xl +}, ga = { + typedDependencies: oe, + createIsNumeric: Hu +}, lr = { + typedDependencies: oe, + createMultiplyScalar: C0 +}, Qi = { + BigNumberDependencies: Qe, + DenseMatrixDependencies: bt, + SparseMatrixDependencies: wi, + matrixDependencies: Ue, + typedDependencies: oe, + createIdentity: X0 +}, Qn = { + equalScalarDependencies: At, + typedDependencies: oe, + createIsZero: Wu +}, ya = { + typedDependencies: oe, + createConj: $0 +}, zr = { + matrixDependencies: Ue, + typedDependencies: oe, + createSize: ol +}, ym = { + addScalarDependencies: wr, + conjDependencies: ya, + multiplyScalarDependencies: lr, + sizeDependencies: zr, + typedDependencies: oe, + createDot: Wc +}, Gt = { + addScalarDependencies: wr, + dotDependencies: ym, + equalScalarDependencies: At, + matrixDependencies: Ue, + multiplyScalarDependencies: lr, + typedDependencies: oe, + createMultiply: T0 +}, In = { + typedDependencies: oe, + createSubtractScalar: m0 +}, ti = { + typedDependencies: oe, + createUnaryMinus: c0 +}, _E = { + divideScalarDependencies: nr, + isZeroDependencies: Qn, + matrixDependencies: Ue, + multiplyDependencies: Gt, + subtractScalarDependencies: In, + typedDependencies: oe, + unaryMinusDependencies: ti, + createDet: Cf +}, xa = { + absDependencies: an, + addScalarDependencies: wr, + detDependencies: _E, + divideScalarDependencies: nr, + identityDependencies: Qi, + matrixDependencies: Ue, + multiplyDependencies: Gt, + typedDependencies: oe, + unaryMinusDependencies: ti, + createInv: Tf +}, Bn = { + ComplexDependencies: jt, + fractionDependencies: ms, + identityDependencies: Qi, + invDependencies: xa, + matrixDependencies: Ue, + multiplyDependencies: Gt, + numberDependencies: Ni, + typedDependencies: oe, + createPow: Cl +}, ot = { + BigNumberDependencies: Qe, + ComplexDependencies: jt, + FractionDependencies: va, + absDependencies: an, + addScalarDependencies: wr, + divideScalarDependencies: nr, + equalDependencies: qn, + fixDependencies: TE, + formatDependencies: bo, + isNumericDependencies: ga, + multiplyScalarDependencies: lr, + numberDependencies: Ni, + powDependencies: Bn, + roundDependencies: ds, + subtractScalarDependencies: In, + createUnitClass: ac +}, g6 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createAtomicMass: oh +}, y6 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createAvogadro: uh +}, Vi = { + typedDependencies: oe, + createIsNegative: Gu +}, xm = { + typedDependencies: oe, + createCombinations: Uf +}, Qv = { + BigNumberDependencies: Qe, + ComplexDependencies: jt, + multiplyScalarDependencies: lr, + powDependencies: Bn, + typedDependencies: oe, + createGamma: Hf +}, wo = { + gammaDependencies: Qv, + typedDependencies: oe, + createFactorial: Vf +}, sn = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + matrixDependencies: Ue, + typedDependencies: oe, + createLarger: jl +}, ME = { + bignumberDependencies: Dn, + addScalarDependencies: wr, + combinationsDependencies: xm, + divideScalarDependencies: nr, + factorialDependencies: wo, + isIntegerDependencies: mn, + isNegativeDependencies: Vi, + largerDependencies: sn, + multiplyScalarDependencies: lr, + numberDependencies: Ni, + powDependencies: Bn, + subtractScalarDependencies: In, + typedDependencies: oe, + createStirlingS2: Kf +}, x6 = { + addScalarDependencies: wr, + isIntegerDependencies: mn, + isNegativeDependencies: Vi, + stirlingS2Dependencies: ME, + typedDependencies: oe, + createBellNumbers: ep +}, b6 = { + typedDependencies: oe, + createBigint: Ku +}, w6 = { + formatDependencies: bo, + typedDependencies: oe, + createBin: bl +}, N6 = { + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createBitAnd: Qs +}, D6 = { + addDependencies: St, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + notDependencies: gm, + typedDependencies: oe, + zerosDependencies: $r, + createBitAndTransform: Yh +}, A6 = { + typedDependencies: oe, + createBitNot: L0 +}, E6 = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createBitOr: Vs +}, S6 = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createBitOrTransform: Xh +}, C6 = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + matrixDependencies: Ue, + typedDependencies: oe, + createBitXor: P0 +}, OE = { + createResultSet: _u +}, FE = { + NodeDependencies: Zr, + ResultSetDependencies: OE, + createBlockNode: ef +}, T6 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createBohrMagneton: zp +}, _6 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createBohrRadius: Wp +}, M6 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createBoltzmann: lh +}, O6 = { + typedDependencies: oe, + createBoolean: t0 +}, F6 = { + addScalarDependencies: wr, + combinationsDependencies: xm, + divideScalarDependencies: nr, + isIntegerDependencies: mn, + isNegativeDependencies: Vi, + multiplyScalarDependencies: lr, + typedDependencies: oe, + createCatalan: tp +}, qE = { + BigNumberDependencies: Qe, + ComplexDependencies: jt, + FractionDependencies: va, + isNegativeDependencies: Vi, + matrixDependencies: Ue, + typedDependencies: oe, + unaryMinusDependencies: ti, + createCbrt: d0 +}, IE = { + typedDependencies: oe, + createChainClass: Af +}, q6 = { + ChainDependencies: IE, + typedDependencies: oe, + createChain: Sf +}, I6 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createClassicalElectronRadius: jp +}, B6 = { + typedDependencies: oe, + createClone: $u +}, on = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + matrixDependencies: Ue, + typedDependencies: oe, + createSmaller: Vl +}, BE = { + DenseMatrixDependencies: bt, + smallerDependencies: on, + createImmutableDenseMatrixClass: ec +}, Vv = { + typedDependencies: oe, + createGetMatrixDataType: Y0 +}, Jr = { + ImmutableDenseMatrixDependencies: BE, + getMatrixDataTypeDependencies: Vv, + createIndexClass: tc +}, ba = { + typedDependencies: oe, + createIsPositive: Vu +}, bm = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + matrixDependencies: Ue, + typedDependencies: oe, + createLargerEq: Zl +}, vs = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + matrixDependencies: Ue, + typedDependencies: oe, + createSmallerEq: Wl +}, gs = { + bignumberDependencies: Dn, + matrixDependencies: Ue, + addDependencies: St, + isPositiveDependencies: ba, + largerDependencies: sn, + largerEqDependencies: bm, + smallerDependencies: on, + smallerEqDependencies: vs, + typedDependencies: oe, + createRange: Ys +}, RE = { + IndexDependencies: Jr, + matrixDependencies: Ue, + rangeDependencies: gs, + typedDependencies: oe, + createColumn: Zs +}, R6 = { + IndexDependencies: Jr, + matrixDependencies: Ue, + rangeDependencies: gs, + typedDependencies: oe, + createColumnTransform: Mh +}, L6 = { + typedDependencies: oe, + createCombinationsWithRep: Gf +}, wa = { + BigNumberDependencies: Qe, + DenseMatrixDependencies: bt, + FractionDependencies: va, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createCompare: zl +}, ri = { + compareDependencies: wa, + typedDependencies: oe, + createCompareNatural: Ul +}, LE = { + concatDependencies: qt, + matrixDependencies: Ue, + typedDependencies: oe, + createCompareText: Gl +}, PE = { + NodeDependencies: Zr, + createConditionalNode: tf +}, Wi = { + NodeDependencies: Zr, + createConstantNode: rf +}, kE = { + NodeDependencies: Zr, + typedDependencies: oe, + createFunctionAssignmentNode: nf +}, ji = { + UnitDependencies: ot, + NodeDependencies: Zr, + createSymbolNode: ff +}, Zi = { + NodeDependencies: Zr, + SymbolNodeDependencies: ji, + createFunctionNode: pf +}, ys = { + NodeDependencies: Zr, + sizeDependencies: zr, + createIndexNode: af +}, xs = { + NodeDependencies: Zr, + createObjectNode: sf +}, Di = { + NodeDependencies: Zr, + createOperatorNode: of +}, Na = { + NodeDependencies: Zr, + createParenthesisNode: uf +}, $E = { + NodeDependencies: Zr, + createRangeNode: lf +}, zE = { + NodeDependencies: Zr, + createRelationalNode: cf +}, ni = { + AccessorNodeDependencies: ps, + ArrayNodeDependencies: hs, + AssignmentNodeDependencies: EE, + BlockNodeDependencies: FE, + ConditionalNodeDependencies: PE, + ConstantNodeDependencies: Wi, + FunctionAssignmentNodeDependencies: kE, + FunctionNodeDependencies: Zi, + IndexNodeDependencies: ys, + ObjectNodeDependencies: xs, + OperatorNodeDependencies: Di, + ParenthesisNodeDependencies: Na, + RangeNodeDependencies: $E, + RelationalNodeDependencies: zE, + SymbolNodeDependencies: ji, + numericDependencies: Fn, + typedDependencies: oe, + createParse: hf +}, P6 = { + parseDependencies: ni, + typedDependencies: oe, + createCompile: mf +}, wm = { + ComplexDependencies: jt, + typedDependencies: oe, + createComplex: n0 +}, k6 = { + addScalarDependencies: wr, + combinationsDependencies: xm, + isIntegerDependencies: mn, + isNegativeDependencies: Vi, + isPositiveDependencies: ba, + largerDependencies: sn, + typedDependencies: oe, + createComposition: rp +}, $6 = { + isIntegerDependencies: mn, + matrixDependencies: Ue, + typedDependencies: oe, + createConcatTransform: zh +}, z6 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createConductanceQuantum: Up +}, _r = { + divideScalarDependencies: nr, + equalScalarDependencies: At, + invDependencies: xa, + matrixDependencies: Ue, + multiplyDependencies: Gt, + typedDependencies: oe, + createDivide: Rf +}, UE = { + addDependencies: St, + divideDependencies: _r, + typedDependencies: oe, + createMean: oo +}, Vn = { + ComplexDependencies: jt, + typedDependencies: oe, + createSqrt: O0 +}, cr = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + subtractScalarDependencies: In, + typedDependencies: oe, + unaryMinusDependencies: ti, + createSubtract: q0 +}, Wv = { + addDependencies: St, + numericDependencies: Fn, + typedDependencies: oe, + createSum: ao +}, U6 = { + addDependencies: St, + divideDependencies: _r, + matrixDependencies: Ue, + meanDependencies: UE, + multiplyDependencies: Gt, + powDependencies: Bn, + sqrtDependencies: Vn, + subtractDependencies: cr, + sumDependencies: Wv, + typedDependencies: oe, + createCorr: zf +}, jv = { + typedDependencies: oe, + createCos: Nc +}, G6 = { + typedDependencies: oe, + createCosh: Dc +}, H6 = { + BigNumberDependencies: Qe, + typedDependencies: oe, + createCot: Ac +}, Q6 = { + BigNumberDependencies: Qe, + typedDependencies: oe, + createCoth: Ec +}, V6 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createCoulomb: kp +}, GE = { + multiplyScalarDependencies: lr, + numericDependencies: Fn, + typedDependencies: oe, + createProd: yl +}, W6 = { + prodDependencies: GE, + sizeDependencies: zr, + typedDependencies: oe, + createCount: Q0 +}, j6 = { + UnitDependencies: ot, + typedDependencies: oe, + createCreateUnit: uc +}, Z6 = { + matrixDependencies: Ue, + multiplyDependencies: Gt, + subtractDependencies: cr, + typedDependencies: oe, + createCross: V0 +}, J6 = { + BigNumberDependencies: Qe, + typedDependencies: oe, + createCsc: Sc +}, Y6 = { + BigNumberDependencies: Qe, + typedDependencies: oe, + createCsch: Cc +}, No = { + matrixDependencies: Ue, + typedDependencies: oe, + createTranspose: ll +}, Zv = { + conjDependencies: ya, + transposeDependencies: No, + typedDependencies: oe, + createCtranspose: cl +}, X6 = { + typedDependencies: oe, + createCube: g0 +}, Jv = { + numericDependencies: Fn, + typedDependencies: oe, + createUnaryPlus: f0 +}, K6 = { + addDependencies: St, + typedDependencies: oe, + unaryPlusDependencies: Jv, + createCumSum: so +}, e9 = { + addDependencies: St, + typedDependencies: oe, + unaryPlusDependencies: Jv, + createCumSumTransform: Vh +}, Yv = { + equalDependencies: qn, + typedDependencies: oe, + createDeepEqual: Jl +}, HE = { + ConstantNodeDependencies: Wi, + FunctionNodeDependencies: Zi, + OperatorNodeDependencies: Di, + ParenthesisNodeDependencies: Na, + parseDependencies: ni, + typedDependencies: oe, + createResolve: op +}, Xv = { + bignumberDependencies: Dn, + fractionDependencies: ms, + AccessorNodeDependencies: ps, + ArrayNodeDependencies: hs, + ConstantNodeDependencies: Wi, + FunctionNodeDependencies: Zi, + IndexNodeDependencies: ys, + ObjectNodeDependencies: xs, + OperatorNodeDependencies: Di, + SymbolNodeDependencies: ji, + matrixDependencies: Ue, + typedDependencies: oe, + createSimplifyConstant: ap +}, Kv = { + AccessorNodeDependencies: ps, + ArrayNodeDependencies: hs, + ConstantNodeDependencies: Wi, + FunctionNodeDependencies: Zi, + IndexNodeDependencies: ys, + ObjectNodeDependencies: xs, + OperatorNodeDependencies: Di, + ParenthesisNodeDependencies: Na, + SymbolNodeDependencies: ji, + addDependencies: St, + divideDependencies: _r, + equalDependencies: qn, + isZeroDependencies: Qn, + multiplyDependencies: Gt, + parseDependencies: ni, + powDependencies: Bn, + subtractDependencies: cr, + typedDependencies: oe, + createSimplifyCore: sp +}, Nm = { + bignumberDependencies: Dn, + fractionDependencies: ms, + AccessorNodeDependencies: ps, + ArrayNodeDependencies: hs, + ConstantNodeDependencies: Wi, + FunctionNodeDependencies: Zi, + IndexNodeDependencies: ys, + ObjectNodeDependencies: xs, + OperatorNodeDependencies: Di, + ParenthesisNodeDependencies: Na, + SymbolNodeDependencies: ji, + addDependencies: St, + divideDependencies: _r, + equalDependencies: qn, + isZeroDependencies: Qn, + matrixDependencies: Ue, + multiplyDependencies: Gt, + parseDependencies: ni, + powDependencies: Bn, + resolveDependencies: HE, + simplifyConstantDependencies: Xv, + simplifyCoreDependencies: Kv, + subtractDependencies: cr, + typedDependencies: oe, + createSimplify: ip +}, t9 = { + ConstantNodeDependencies: Wi, + FunctionNodeDependencies: Zi, + OperatorNodeDependencies: Di, + ParenthesisNodeDependencies: Na, + SymbolNodeDependencies: ji, + equalDependencies: qn, + isZeroDependencies: Qn, + numericDependencies: Fn, + parseDependencies: ni, + simplifyDependencies: Nm, + typedDependencies: oe, + createDerivative: lp +}, r9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createDeuteronMass: eh +}, QE = { + DenseMatrixDependencies: bt, + SparseMatrixDependencies: wi, + matrixDependencies: Ue, + typedDependencies: oe, + createDiag: W0 +}, n9 = { + matrixDependencies: Ue, + numberDependencies: Ni, + subtractDependencies: cr, + typedDependencies: oe, + createDiff: Js +}, i9 = { + bignumberDependencies: Dn, + matrixDependencies: Ue, + numberDependencies: Ni, + subtractDependencies: cr, + typedDependencies: oe, + createDiffTransform: Uh +}, a9 = { + absDependencies: an, + addScalarDependencies: wr, + deepEqualDependencies: Yv, + divideScalarDependencies: nr, + multiplyScalarDependencies: lr, + sqrtDependencies: Vn, + subtractScalarDependencies: In, + typedDependencies: oe, + createDistance: Lf +}, Do = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + divideScalarDependencies: nr, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createDotDivide: ql +}, s9 = { + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + multiplyScalarDependencies: lr, + typedDependencies: oe, + createDotMultiply: R0 +}, o9 = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + powDependencies: Bn, + typedDependencies: oe, + createDotPow: Fl +}, VE = { + BigNumberDependencies: Qe, + createE: Np +}, u9 = { + BigNumberDependencies: Qe, + createEfimovFactor: sh +}, Ao = { + matrixDependencies: Ue, + typedDependencies: oe, + createFlatten: Z0 +}, eg = { + typedDependencies: oe, + createIm: z0 +}, tg = { + flattenDependencies: Ao, + matrixDependencies: Ue, + sizeDependencies: zr, + typedDependencies: oe, + createMatrixFromColumns: u0 +}, WE = { + BigNumberDependencies: Qe, + FractionDependencies: va, + complexDependencies: wm, + typedDependencies: oe, + createSign: M0 +}, rg = { + addScalarDependencies: wr, + complexDependencies: wm, + conjDependencies: ya, + divideScalarDependencies: nr, + equalDependencies: qn, + identityDependencies: Qi, + isZeroDependencies: Qn, + matrixDependencies: Ue, + multiplyScalarDependencies: lr, + signDependencies: WE, + sqrtDependencies: Vn, + subtractScalarDependencies: In, + typedDependencies: oe, + unaryMinusDependencies: ti, + zerosDependencies: $r, + createQr: xf +}, ng = { + typedDependencies: oe, + createRe: U0 +}, jE = { + isIntegerDependencies: mn, + matrixDependencies: Ue, + typedDependencies: oe, + createReshape: nl +}, Dm = { + typedDependencies: oe, + createSin: Mc +}, ig = { + DenseMatrixDependencies: bt, + divideScalarDependencies: nr, + equalScalarDependencies: At, + matrixDependencies: Ue, + multiplyScalarDependencies: lr, + subtractScalarDependencies: In, + typedDependencies: oe, + createUsolve: Bl +}, ZE = { + DenseMatrixDependencies: bt, + divideScalarDependencies: nr, + equalScalarDependencies: At, + matrixDependencies: Ue, + multiplyScalarDependencies: lr, + subtractScalarDependencies: In, + typedDependencies: oe, + createUsolveAll: Ll +}, JE = { + absDependencies: an, + addDependencies: St, + addScalarDependencies: wr, + atanDependencies: SE, + bignumberDependencies: Dn, + columnDependencies: RE, + complexDependencies: wm, + cosDependencies: jv, + diagDependencies: QE, + divideScalarDependencies: nr, + dotDependencies: ym, + equalDependencies: qn, + flattenDependencies: Ao, + imDependencies: eg, + invDependencies: xa, + largerDependencies: sn, + matrixDependencies: Ue, + matrixFromColumnsDependencies: tg, + multiplyDependencies: Gt, + multiplyScalarDependencies: lr, + numberDependencies: Ni, + qrDependencies: rg, + reDependencies: ng, + reshapeDependencies: jE, + sinDependencies: Dm, + sizeDependencies: zr, + smallerDependencies: on, + sqrtDependencies: Vn, + subtractDependencies: cr, + typedDependencies: oe, + usolveDependencies: ig, + usolveAllDependencies: ZE, + createEigs: Mf +}, l9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createElectricConstant: Lp +}, c9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createElectronMass: Zp +}, f9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createElementaryCharge: $p +}, p9 = { + compareTextDependencies: LE, + isZeroDependencies: Qn, + typedDependencies: oe, + createEqualText: Ql +}, h9 = { + typedDependencies: oe, + createErf: dl +}, ag = { + parseDependencies: ni, + typedDependencies: oe, + createEvaluate: df +}, YE = { + typedDependencies: oe, + createExp: y0 +}, m9 = { + absDependencies: an, + addDependencies: St, + identityDependencies: Qi, + invDependencies: xa, + multiplyDependencies: Gt, + typedDependencies: oe, + createExpm: Of +}, d9 = { + ComplexDependencies: jt, + typedDependencies: oe, + createExpm1: x0 +}, v9 = { + createFalse: vp +}, g9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createFaraday: ch +}, y9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createFermiCoupling: Jp +}, XE = { + ComplexDependencies: jt, + createI: Mp +}, KE = { + ComplexDependencies: jt, + typedDependencies: oe, + createLog2: S0 +}, eS = { + BigNumberDependencies: Qe, + createTau: wp +}, tS = { + addScalarDependencies: wr, + ceilDependencies: Hv, + conjDependencies: ya, + divideScalarDependencies: nr, + dotDivideDependencies: Do, + expDependencies: YE, + iDependencies: XE, + log2Dependencies: KE, + matrixDependencies: Ue, + multiplyScalarDependencies: lr, + powDependencies: Bn, + tauDependencies: eS, + typedDependencies: oe, + createFft: pl +}, rS = { + largerDependencies: sn, + smallerDependencies: on, + createFibonacciHeapClass: rc +}, x9 = { + typedDependencies: oe, + createFilter: j0 +}, b9 = { + typedDependencies: oe, + createFilterTransform: Oh +}, w9 = { + BigNumberDependencies: Qe, + createFineStructure: Yp +}, N9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createFirstRadiation: fh +}, D9 = { + typedDependencies: oe, + createForEach: J0 +}, A9 = { + typedDependencies: oe, + createForEachTransform: Fh +}, E9 = { + ComplexDependencies: jt, + addDependencies: St, + divideDependencies: _r, + matrixDependencies: Ue, + multiplyDependencies: Gt, + typedDependencies: oe, + createFreqz: pp +}, S9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createGasConstant: hh +}, C9 = { + BigNumberDependencies: Qe, + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + roundDependencies: ds, + typedDependencies: oe, + zerosDependencies: $r, + createGcd: N0 +}, T9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createGravitationConstant: qp +}, _9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createGravity: Nh +}, M9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createHartreeEnergy: Xp +}, O9 = { + isNumericDependencies: ga, + typedDependencies: oe, + createHasNumericValue: Qu +}, nS = { + evaluateDependencies: ag, + createHelpClass: Df +}, F9 = { + HelpDependencies: nS, + typedDependencies: oe, + createHelp: Ef +}, q9 = { + formatDependencies: bo, + typedDependencies: oe, + createHex: Nl +}, I9 = { + absDependencies: an, + addScalarDependencies: wr, + divideScalarDependencies: nr, + isPositiveDependencies: ba, + multiplyScalarDependencies: lr, + smallerDependencies: on, + sqrtDependencies: Vn, + typedDependencies: oe, + createHypot: Qc +}, B9 = { + conjDependencies: ya, + dotDivideDependencies: Do, + fftDependencies: tS, + typedDependencies: oe, + createIfft: hl +}, iS = { + IndexDependencies: Jr, + typedDependencies: oe, + createIndex: Zc +}, R9 = { + IndexDependencies: Jr, + getMatrixDataTypeDependencies: Vv, + createIndexTransform: qh +}, L9 = { + BigNumberDependencies: Qe, + createInfinity: yp +}, P9 = { + absDependencies: an, + addDependencies: St, + addScalarDependencies: wr, + divideScalarDependencies: nr, + equalScalarDependencies: At, + flattenDependencies: Ao, + isNumericDependencies: ga, + isZeroDependencies: Qn, + matrixDependencies: Ue, + multiplyDependencies: Gt, + multiplyScalarDependencies: lr, + smallerDependencies: on, + subtractDependencies: cr, + typedDependencies: oe, + createIntersect: Pf +}, k9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createInverseConductanceQuantum: Gp +}, aS = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + roundDependencies: ds, + typedDependencies: oe, + zerosDependencies: $r, + createMod: Hs +}, sS = { + BigNumberDependencies: Qe, + matrixDependencies: Ue, + typedDependencies: oe, + createXgcd: I0 +}, $9 = { + BigNumberDependencies: Qe, + addDependencies: St, + equalDependencies: qn, + isIntegerDependencies: mn, + modDependencies: aS, + smallerDependencies: on, + typedDependencies: oe, + xgcdDependencies: sS, + createInvmod: B0 +}, Eo = { + typedDependencies: oe, + createIsNaN: ju +}, z9 = { + typedDependencies: oe, + createIsPrime: Al +}, sg = { + ComplexDependencies: jt, + divideScalarDependencies: nr, + typedDependencies: oe, + createLog: _l +}, Da = { + typedDependencies: oe, + createMap: tl +}, U9 = { + divideDependencies: _r, + dotDivideDependencies: Do, + isNumericDependencies: ga, + logDependencies: sg, + mapDependencies: Da, + matrixDependencies: Ue, + multiplyDependencies: Gt, + sumDependencies: Wv, + typedDependencies: oe, + createKldivergence: Wf +}, G9 = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createKlitzing: Vp +}, H9 = { + matrixDependencies: Ue, + multiplyScalarDependencies: lr, + typedDependencies: oe, + createKron: K0 +}, Q9 = { + BigNumberDependencies: Qe, + createLN10: Ep +}, V9 = { + BigNumberDependencies: Qe, + createLN2: Ap +}, W9 = { + BigNumberDependencies: Qe, + createLOG10E: Cp +}, j9 = { + BigNumberDependencies: Qe, + createLOG2E: Sp +}, Z9 = { + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createLcm: A0 +}, J9 = { + parseDependencies: ni, + typedDependencies: oe, + createLeafCount: np +}, Y9 = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + zerosDependencies: $r, + createLeftShift: Pl +}, X9 = { + ComplexDependencies: jt, + typedDependencies: oe, + createLgamma: Qf +}, K9 = { + ComplexDependencies: jt, + typedDependencies: oe, + createLog10: E0 +}, eL = { + ComplexDependencies: jt, + divideScalarDependencies: nr, + logDependencies: sg, + typedDependencies: oe, + createLog1p: Ml +}, tL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createLoschmidt: ph +}, oS = { + DenseMatrixDependencies: bt, + divideScalarDependencies: nr, + equalScalarDependencies: At, + matrixDependencies: Ue, + multiplyScalarDependencies: lr, + subtractScalarDependencies: In, + typedDependencies: oe, + createLsolve: Il +}, rL = { + DenseMatrixDependencies: bt, + divideScalarDependencies: nr, + equalScalarDependencies: At, + matrixDependencies: Ue, + multiplyScalarDependencies: lr, + subtractScalarDependencies: In, + typedDependencies: oe, + createLsolveAll: Rl +}, uS = { + FibonacciHeapDependencies: rS, + addScalarDependencies: wr, + equalScalarDependencies: At, + createSpaClass: nc +}, lS = { + DenseMatrixDependencies: bt, + SpaDependencies: uS, + SparseMatrixDependencies: wi, + absDependencies: an, + addScalarDependencies: wr, + divideScalarDependencies: nr, + equalScalarDependencies: At, + largerDependencies: sn, + matrixDependencies: Ue, + multiplyScalarDependencies: lr, + subtractScalarDependencies: In, + typedDependencies: oe, + unaryMinusDependencies: ti, + createLup: yf +}, cS = { + SparseMatrixDependencies: wi, + absDependencies: an, + addDependencies: St, + divideScalarDependencies: nr, + largerDependencies: sn, + largerEqDependencies: bm, + multiplyDependencies: Gt, + subtractDependencies: cr, + transposeDependencies: No, + typedDependencies: oe, + createSlu: bf +}, fS = { + DenseMatrixDependencies: bt, + lsolveDependencies: oS, + lupDependencies: lS, + matrixDependencies: Ue, + sluDependencies: cS, + typedDependencies: oe, + usolveDependencies: ig, + createLusolve: wf +}, og = { + absDependencies: an, + addDependencies: St, + conjDependencies: ya, + ctransposeDependencies: Zv, + eigsDependencies: JE, + equalScalarDependencies: At, + largerDependencies: sn, + matrixDependencies: Ue, + multiplyDependencies: Gt, + powDependencies: Bn, + smallerDependencies: on, + sqrtDependencies: Vn, + typedDependencies: oe, + createNorm: Vc +}, pS = { + identityDependencies: Qi, + matrixDependencies: Ue, + multiplyDependencies: Gt, + normDependencies: og, + qrDependencies: rg, + subtractDependencies: cr, + typedDependencies: oe, + createSchur: If +}, hS = { + absDependencies: an, + addDependencies: St, + concatDependencies: qt, + identityDependencies: Qi, + indexDependencies: iS, + lusolveDependencies: fS, + matrixDependencies: Ue, + matrixFromColumnsDependencies: tg, + multiplyDependencies: Gt, + rangeDependencies: gs, + schurDependencies: pS, + subsetDependencies: Nn, + subtractDependencies: cr, + transposeDependencies: No, + typedDependencies: oe, + createSylvester: qf +}, nL = { + matrixDependencies: Ue, + multiplyDependencies: Gt, + sylvesterDependencies: hS, + transposeDependencies: No, + typedDependencies: oe, + createLyap: Bf +}, Am = { + compareDependencies: wa, + isNaNDependencies: Eo, + isNumericDependencies: ga, + typedDependencies: oe, + createPartitionSelect: Xl +}, mS = { + addDependencies: St, + compareDependencies: wa, + divideDependencies: _r, + partitionSelectDependencies: Am, + typedDependencies: oe, + createMedian: kf +}, iL = { + absDependencies: an, + mapDependencies: Da, + medianDependencies: mS, + subtractDependencies: cr, + typedDependencies: oe, + createMad: $f +}, aL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createMagneticConstant: Rp +}, sL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createMagneticFluxQuantum: Hp +}, oL = { + typedDependencies: oe, + createMapTransform: Ih +}, uL = { + isZeroDependencies: Qn, + matrixDependencies: Ue, + typedDependencies: oe, + createMatrixFromFunction: s0 +}, lL = { + flattenDependencies: Ao, + matrixDependencies: Ue, + sizeDependencies: zr, + typedDependencies: oe, + createMatrixFromRows: o0 +}, ug = { + largerDependencies: sn, + numericDependencies: Fn, + typedDependencies: oe, + createMax: no +}, cL = { + largerDependencies: sn, + numericDependencies: Fn, + typedDependencies: oe, + createMaxTransform: Bh +}, fL = { + addDependencies: St, + divideDependencies: _r, + typedDependencies: oe, + createMeanTransform: Rh +}, pL = { + numericDependencies: Fn, + smallerDependencies: on, + typedDependencies: oe, + createMin: io +}, hL = { + numericDependencies: Fn, + smallerDependencies: on, + typedDependencies: oe, + createMinTransform: Lh +}, mL = { + isNaNDependencies: Eo, + isNumericDependencies: ga, + typedDependencies: oe, + createMode: gl +}, dL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createMolarMass: bh +}, vL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createMolarMassC12: wh +}, gL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createMolarPlanckConstant: mh +}, yL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createMolarVolume: dh +}, xL = { + addDependencies: St, + divideDependencies: _r, + factorialDependencies: wo, + isIntegerDependencies: mn, + isPositiveDependencies: ba, + multiplyDependencies: Gt, + typedDependencies: oe, + createMultinomial: jf +}, bL = { + BigNumberDependencies: Qe, + createNaN: xp +}, wL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createNeutronMass: th +}, NL = { + BigNumberDependencies: Qe, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createNthRoot: _0 +}, DL = { + ComplexDependencies: jt, + divideScalarDependencies: nr, + typedDependencies: oe, + createNthRoots: Ol +}, AL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createNuclearMagneton: Qp +}, EL = { + createNull: gp +}, SL = { + formatDependencies: bo, + typedDependencies: oe, + createOct: wl +}, CL = { + BigNumberDependencies: Qe, + matrixDependencies: Ue, + typedDependencies: oe, + createOnes: rl +}, TL = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createOr: Ws +}, _L = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createOrTransform: Jh +}, dS = { + evaluateDependencies: ag, + createParserClass: vf +}, ML = { + ParserDependencies: dS, + typedDependencies: oe, + createParser: gf +}, OL = { + factorialDependencies: wo, + typedDependencies: oe, + createPermutations: Zf +}, FL = { + BigNumberDependencies: Qe, + createPhi: Dp +}, lg = { + BigNumberDependencies: Qe, + createPi: bp +}, qL = { + typedDependencies: oe, + createPickRandom: Jf +}, IL = { + ComplexDependencies: jt, + addDependencies: St, + ctransposeDependencies: Zv, + deepEqualDependencies: Yv, + divideScalarDependencies: nr, + dotDependencies: ym, + dotDivideDependencies: Do, + equalDependencies: qn, + invDependencies: xa, + matrixDependencies: Ue, + multiplyDependencies: Gt, + typedDependencies: oe, + createPinv: _f +}, BL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createPlanckCharge: Sh +}, RL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createPlanckConstant: Ip +}, LL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createPlanckLength: Dh +}, PL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createPlanckMass: Ah +}, kL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createPlanckTemperature: Ch +}, $L = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createPlanckTime: Eh +}, vS = { + typedDependencies: oe, + createTypeOf: Zu +}, zL = { + addDependencies: St, + cbrtDependencies: qE, + divideDependencies: _r, + equalScalarDependencies: At, + imDependencies: eg, + isZeroDependencies: Qn, + multiplyDependencies: Gt, + reDependencies: ng, + sqrtDependencies: Vn, + subtractDependencies: cr, + typeOfDependencies: vS, + typedDependencies: oe, + unaryMinusDependencies: ti, + createPolynomialRoot: Nf +}, UL = { + typedDependencies: oe, + createPrint: eo +}, GL = { + addDependencies: St, + matrixDependencies: Ue, + typedDependencies: oe, + zerosDependencies: $r, + createPrintTransform: jh +}, HL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createProtonMass: Kp +}, QL = { + bignumberDependencies: Dn, + addDependencies: St, + compareDependencies: wa, + divideDependencies: _r, + isIntegerDependencies: mn, + largerDependencies: sn, + multiplyDependencies: Gt, + partitionSelectDependencies: Am, + smallerDependencies: on, + smallerEqDependencies: vs, + subtractDependencies: cr, + typedDependencies: oe, + createQuantileSeq: lo +}, VL = { + addDependencies: St, + bignumberDependencies: Dn, + compareDependencies: wa, + divideDependencies: _r, + isIntegerDependencies: mn, + largerDependencies: sn, + multiplyDependencies: Gt, + partitionSelectDependencies: Am, + smallerDependencies: on, + smallerEqDependencies: vs, + subtractDependencies: cr, + typedDependencies: oe, + createQuantileSeqTransform: Qh +}, WL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createQuantumOfCirculation: rh +}, jL = { + typedDependencies: oe, + createRandom: Yf +}, ZL = { + typedDependencies: oe, + createRandomInt: Xf +}, JL = { + createRangeClass: Ru +}, YL = { + bignumberDependencies: Dn, + matrixDependencies: Ue, + addDependencies: St, + isPositiveDependencies: ba, + largerDependencies: sn, + largerEqDependencies: bm, + smallerDependencies: on, + smallerEqDependencies: vs, + typedDependencies: oe, + createRangeTransform: Ph +}, XL = { + bignumberDependencies: Dn, + fractionDependencies: ms, + AccessorNodeDependencies: ps, + ArrayNodeDependencies: hs, + ConstantNodeDependencies: Wi, + FunctionNodeDependencies: Zi, + IndexNodeDependencies: ys, + ObjectNodeDependencies: xs, + OperatorNodeDependencies: Di, + ParenthesisNodeDependencies: Na, + SymbolNodeDependencies: ji, + addDependencies: St, + divideDependencies: _r, + equalDependencies: qn, + isZeroDependencies: Qn, + matrixDependencies: Ue, + multiplyDependencies: Gt, + parseDependencies: ni, + powDependencies: Bn, + simplifyDependencies: Nm, + simplifyConstantDependencies: Xv, + simplifyCoreDependencies: Kv, + subtractDependencies: cr, + typedDependencies: oe, + createRationalize: cp +}, KL = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createReducedPlanckConstant: Bp +}, eP = { + createReplacer: mp +}, tP = { + matrixDependencies: Ue, + createResize: il +}, rP = { + createReviver: hp +}, nP = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + zerosDependencies: $r, + createRightArithShift: kl +}, iP = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + zerosDependencies: $r, + createRightLogShift: $l +}, gS = { + BigNumberDependencies: Qe, + DenseMatrixDependencies: bt, + SparseMatrixDependencies: wi, + addScalarDependencies: wr, + cosDependencies: jv, + matrixDependencies: Ue, + multiplyScalarDependencies: lr, + normDependencies: og, + sinDependencies: Dm, + typedDependencies: oe, + unaryMinusDependencies: ti, + createRotationMatrix: sl +}, aP = { + multiplyDependencies: Gt, + rotationMatrixDependencies: gS, + typedDependencies: oe, + createRotate: al +}, sP = { + IndexDependencies: Jr, + matrixDependencies: Ue, + rangeDependencies: gs, + typedDependencies: oe, + createRow: Xs +}, oP = { + IndexDependencies: Jr, + matrixDependencies: Ue, + rangeDependencies: gs, + typedDependencies: oe, + createRowTransform: kh +}, uP = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createRydberg: nh +}, lP = { + // eslint-disable-line camelcase + BigNumberDependencies: Qe, + createSQRT1_2: Tp +}, cP = { + BigNumberDependencies: Qe, + createSQRT2: _p +}, fP = { + BigNumberDependencies: Qe, + createSackurTetrode: vh +}, pP = { + BigNumberDependencies: Qe, + typedDependencies: oe, + createSec: Tc +}, hP = { + BigNumberDependencies: Qe, + typedDependencies: oe, + createSech: _c +}, mP = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createSecondRadiation: gh +}, dP = { + DenseMatrixDependencies: bt, + IndexDependencies: Jr, + compareNaturalDependencies: ri, + sizeDependencies: zr, + subsetDependencies: Nn, + typedDependencies: oe, + createSetCartesian: Ic +}, yS = { + DenseMatrixDependencies: bt, + IndexDependencies: Jr, + compareNaturalDependencies: ri, + sizeDependencies: zr, + subsetDependencies: Nn, + typedDependencies: oe, + createSetDifference: Bc +}, vP = { + DenseMatrixDependencies: bt, + IndexDependencies: Jr, + compareNaturalDependencies: ri, + sizeDependencies: zr, + subsetDependencies: Nn, + typedDependencies: oe, + createSetDistinct: Rc +}, xS = { + DenseMatrixDependencies: bt, + IndexDependencies: Jr, + compareNaturalDependencies: ri, + sizeDependencies: zr, + subsetDependencies: Nn, + typedDependencies: oe, + createSetIntersect: Lc +}, gP = { + IndexDependencies: Jr, + compareNaturalDependencies: ri, + sizeDependencies: zr, + subsetDependencies: Nn, + typedDependencies: oe, + createSetIsSubset: Pc +}, yP = { + IndexDependencies: Jr, + compareNaturalDependencies: ri, + sizeDependencies: zr, + subsetDependencies: Nn, + typedDependencies: oe, + createSetMultiplicity: kc +}, xP = { + IndexDependencies: Jr, + compareNaturalDependencies: ri, + sizeDependencies: zr, + subsetDependencies: Nn, + typedDependencies: oe, + createSetPowerset: $c +}, bP = { + compareNaturalDependencies: ri, + typedDependencies: oe, + createSetSize: zc +}, bS = { + IndexDependencies: Jr, + concatDependencies: qt, + setDifferenceDependencies: yS, + sizeDependencies: zr, + subsetDependencies: Nn, + typedDependencies: oe, + createSetSymDifference: Uc +}, wP = { + IndexDependencies: Jr, + concatDependencies: qt, + setIntersectDependencies: xS, + setSymDifferenceDependencies: bS, + sizeDependencies: zr, + subsetDependencies: Nn, + typedDependencies: oe, + createSetUnion: Gc +}, NP = { + typedDependencies: oe, + createSinh: Oc +}, DP = { + absDependencies: an, + addDependencies: St, + bignumberDependencies: Dn, + divideDependencies: _r, + isNegativeDependencies: Vi, + isPositiveDependencies: ba, + largerDependencies: sn, + mapDependencies: Da, + matrixDependencies: Ue, + maxDependencies: ug, + multiplyDependencies: Gt, + smallerDependencies: on, + subtractDependencies: cr, + typedDependencies: oe, + unaryMinusDependencies: ti, + createSolveODE: ml +}, AP = { + compareDependencies: wa, + compareNaturalDependencies: ri, + matrixDependencies: Ue, + typedDependencies: oe, + createSort: Kl +}, EP = { + SparseMatrixDependencies: wi, + typedDependencies: oe, + createSparse: oc +}, SP = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createSpeedOfLight: Fp +}, CP = { + typedDependencies: oe, + createSplitUnit: l0 +}, TP = { + absDependencies: an, + addDependencies: St, + identityDependencies: Qi, + invDependencies: xa, + mapDependencies: Da, + maxDependencies: ug, + multiplyDependencies: Gt, + sizeDependencies: zr, + sqrtDependencies: Vn, + subtractDependencies: cr, + typedDependencies: oe, + createSqrtm: Ff +}, _P = { + typedDependencies: oe, + createSquare: F0 +}, MP = { + matrixDependencies: Ue, + typedDependencies: oe, + createSqueeze: ul +}, cg = { + addDependencies: St, + applyDependencies: Gv, + divideDependencies: _r, + isNaNDependencies: Eo, + multiplyDependencies: Gt, + subtractDependencies: cr, + typedDependencies: oe, + createVariance: uo +}, OP = { + mapDependencies: Da, + sqrtDependencies: Vn, + typedDependencies: oe, + varianceDependencies: cg, + createStd: co +}, FP = { + mapDependencies: Da, + sqrtDependencies: Vn, + typedDependencies: oe, + varianceDependencies: cg, + createStdTransform: Gh +}, qP = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createStefanBoltzmann: yh +}, IP = { + typedDependencies: oe, + createString: e0 +}, BP = { + addDependencies: St, + matrixDependencies: Ue, + typedDependencies: oe, + zerosDependencies: $r, + createSubsetTransform: $h +}, RP = { + addDependencies: St, + numericDependencies: Fn, + typedDependencies: oe, + createSumTransform: Hh +}, LP = { + OperatorNodeDependencies: Di, + parseDependencies: ni, + simplifyDependencies: Nm, + typedDependencies: oe, + createSymbolicEqual: up +}, PP = { + typedDependencies: oe, + createTan: Fc +}, kP = { + typedDependencies: oe, + createTanh: qc +}, $P = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createThomsonCrossSection: ih +}, zP = { + concatDependencies: qt, + matrixDependencies: Ue, + typedDependencies: oe, + createTo: Dl +}, UP = { + addDependencies: St, + matrixDependencies: Ue, + typedDependencies: oe, + createTrace: jc +}, GP = { + createTrue: dp +}, HP = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + equalScalarDependencies: At, + matrixDependencies: Ue, + typedDependencies: oe, + createUnequal: Yl +}, QP = { + UnitDependencies: ot, + typedDependencies: oe, + createUnitFunction: sc +}, VP = { + eDependencies: VE, + createUppercaseE: Hd +}, WP = { + piDependencies: lg, + createUppercasePi: Gd +}, jP = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createVacuumImpedance: Pp +}, ZP = { + addDependencies: St, + applyDependencies: Gv, + divideDependencies: _r, + isNaNDependencies: Eo, + multiplyDependencies: Gt, + subtractDependencies: cr, + typedDependencies: oe, + createVarianceTransform: Wh +}, JP = { + createVersion: Op +}, YP = { + BigNumberDependencies: Qe, + createWeakMixingAngle: ah +}, XP = { + BigNumberDependencies: Qe, + UnitDependencies: ot, + createWienDisplacement: xh +}, KP = { + DenseMatrixDependencies: bt, + concatDependencies: qt, + matrixDependencies: Ue, + typedDependencies: oe, + createXor: H0 +}, ek = { + BigNumberDependencies: Qe, + ComplexDependencies: jt, + addDependencies: St, + divideDependencies: _r, + equalDependencies: qn, + factorialDependencies: wo, + gammaDependencies: Qv, + isNegativeDependencies: Vi, + multiplyDependencies: Gt, + piDependencies: lg, + powDependencies: Bn, + sinDependencies: Dm, + smallerEqDependencies: vs, + subtractDependencies: cr, + typedDependencies: oe, + createZeta: vl +}, tk = { + ComplexDependencies: jt, + addDependencies: St, + multiplyDependencies: Gt, + numberDependencies: Ni, + typedDependencies: oe, + createZpk2tf: fp +}, rk = e6, fg = { exports: {} }; +function pg() { +} +pg.prototype = { + on: function(t, e, r) { + var n = this.e || (this.e = {}); + return (n[t] || (n[t] = [])).push({ + fn: e, + ctx: r + }), this; + }, + once: function(t, e, r) { + var n = this; + function a() { + n.off(t, a), e.apply(r, arguments); + } + return a._ = e, this.on(t, a, r); + }, + emit: function(t) { + var e = [].slice.call(arguments, 1), r = ((this.e || (this.e = {}))[t] || []).slice(), n = 0, a = r.length; + for (n; n < a; n++) + r[n].fn.apply(r[n].ctx, e); + return this; + }, + off: function(t, e) { + var r = this.e || (this.e = {}), n = r[t], a = []; + if (n && e) + for (var s = 0, o = n.length; s < o; s++) + n[s].fn !== e && n[s].fn._ !== e && a.push(n[s]); + return a.length ? r[t] = a : delete r[t], this; + } +}; +fg.exports = pg; +fg.exports.TinyEmitter = pg; +var nk = fg.exports; +const ik = /* @__PURE__ */ zs(nk); +function ak(t) { + var e = new ik(); + return t.on = e.on.bind(e), t.off = e.off.bind(e), t.once = e.once.bind(e), t.emit = e.emit.bind(e), t; +} +function sk(t, e, r, n) { + function a(N, b) { + var C = arguments.length; + if (C !== 1 && C !== 2) + throw new Zn("import", C, 1, 2); + b || (b = {}); + function x(M, _, O) { + if (Array.isArray(_)) + _.forEach((q) => x(M, q)); + else if (typeof _ == "object") + for (var T in _) + We(_, T) && x(M, _[T], T); + else if (Ms(_) || O !== void 0) { + var I = Ms(_) ? g(_) ? _.fn + ".transform" : _.fn : O; + if (We(M, I) && M[I] !== _ && !b.silent) + throw new Error('Cannot import "' + I + '" twice'); + M[I] = _; + } else if (!b.silent) + throw new TypeError("Factory, Object, or Array expected"); + } + var E = {}; + x(E, N); + for (var D in E) + if (We(E, D)) { + var A = E[D]; + if (Ms(A)) + f(A, b); + else if (l(A)) + s(D, A, b); + else if (!b.silent) + throw new TypeError("Factory, Object, or Array expected"); + } + } + function s(N, b, C) { + if (C.wrap && typeof b == "function" && (b = u(b)), c(b) && (b = t(N, { + [b.signature]: b + })), t.isTypedFunction(r[N]) && t.isTypedFunction(b)) { + C.override ? b = t(N, b.signatures) : b = t(r[N], b), r[N] = b, delete n[N], o(N, b), r.emit("import", N, function() { + return b; + }); + return; + } + if (r[N] === void 0 || C.override) { + r[N] = b, delete n[N], o(N, b), r.emit("import", N, function() { + return b; + }); + return; + } + if (!C.silent) + throw new Error('Cannot import "' + N + '": already exists'); + } + function o(N, b) { + b && typeof b.transform == "function" ? (r.expression.transform[N] = b.transform, h(N) && (r.expression.mathWithTransform[N] = b.transform)) : (delete r.expression.transform[N], h(N) && (r.expression.mathWithTransform[N] = b)); + } + function p(N) { + delete r.expression.transform[N], h(N) ? r.expression.mathWithTransform[N] = r[N] : delete r.expression.mathWithTransform[N]; + } + function u(N) { + var b = function() { + for (var x = [], E = 0, D = arguments.length; E < D; E++) { + var A = arguments[E]; + x[E] = A && A.valueOf(); + } + return N.apply(r, x); + }; + return N.transform && (b.transform = N.transform), b; + } + function f(N, b) { + var C = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : N.fn; + if (C.includes(".")) + throw new Error("Factory name should not contain a nested path. 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nuclearMagnetonDependencies: AL, + nullDependencies: EL, + number: Xn, + numberDependencies: Ni, + numeric: gn, + numericDependencies: Fn, + oct: PN, + octDependencies: SL, + ones: gD, + onesDependencies: CL, + or: BD, + orDependencies: TL, + orTransformDependencies: _L, + parse: Et, + parseDependencies: ni, + parser: wE, + parserDependencies: ML, + partitionSelect: go, + partitionSelectDependencies: Am, + permutations: WA, + permutationsDependencies: OL, + phi: uN, + phiDependencies: FL, + pi: Oi, + piDependencies: lg, + pickRandom: kN, + pickRandomDependencies: qL, + pinv: eA, + pinvDependencies: IL, + planckCharge: SA, + planckChargeDependencies: BL, + planckConstant: iE, + planckConstantDependencies: RL, + planckLength: CA, + planckLengthDependencies: LL, + planckMass: jA, + planckMassDependencies: PL, + planckTemperature: TA, + planckTemperatureDependencies: kL, + planckTime: pE, + planckTimeDependencies: $L, + polynomialRoot: ZA, + polynomialRootDependencies: zL, + pow: _t, + powDependencies: Bn, + print: $N, + printDependencies: UL, + printTransformDependencies: GL, + prod: tv, + prodDependencies: GE, + protonMass: _A, + protonMassDependencies: HL, + qr: nm, + qrDependencies: rg, + quantileSeq: aE, + quantileSeqDependencies: QL, + quantileSeqTransformDependencies: VL, + quantumOfCirculation: MA, + quantumOfCirculationDependencies: WL, + random: zN, + randomDependencies: jL, + randomInt: eD, + randomIntDependencies: ZL, + range: sa, + rangeDependencies: gs, + rangeTransformDependencies: YL, + rationalize: NE, + rationalizeDependencies: XL, + re: Ha, + reDependencies: ng, + reducedPlanckConstant: OA, + reducedPlanckConstantDependencies: KL, + replacer: vN, + replacerDependencies: eP, + reshape: rv, + reshapeDependencies: jE, + resize: yD, + resizeDependencies: tP, + resolve: $v, + resolveDependencies: HE, + reviver: vE, + reviverDependencies: rP, + rightArithShift: xD, + rightArithShiftDependencies: nP, + rightLogShift: RD, + rightLogShiftDependencies: iP, + rotate: hE, + rotateDependencies: aP, + rotationMatrix: Ov, + rotationMatrixDependencies: gS, + round: kt, + roundDependencies: ds, + row: XD, + rowDependencies: sP, + rowTransformDependencies: oP, + rydberg: FA, + rydbergDependencies: uP, + sackurTetrode: fN, + sackurTetrodeDependencies: fP, + schur: Fv, + schurDependencies: pS, + sec: UN, + secDependencies: pP, + sech: tD, + sechDependencies: hP, + secondRadiation: qA, + secondRadiationDependencies: mP, + setCartesian: QD, + setCartesianDependencies: dP, + setDifference: xv, + setDifferenceDependencies: yS, + setDistinct: VD, + setDistinctDependencies: vP, + setIntersect: Av, + setIntersectDependencies: xS, + setIsSubset: WD, + setIsSubsetDependencies: gP, + setMultiplicity: KD, + setMultiplicityDependencies: yP, + setPowerset: jD, + setPowersetDependencies: xP, + setSize: JA, + setSizeDependencies: bP, + setSymDifference: bv, + setSymDifferenceDependencies: bS, + setUnion: tA, + setUnionDependencies: wP, + sign: Kd, + signDependencies: WE, + simplify: xo, + simplifyConstant: mm, + simplifyConstantDependencies: Xv, + simplifyCore: dm, + simplifyCoreDependencies: Kv, + simplifyDependencies: Nm, + sin: po, + sinDependencies: Dm, + sinh: rD, + sinhDependencies: NP, + size: Tr, + sizeDependencies: zr, + slu: hv, + sluDependencies: cS, + smaller: Qr, + smallerDependencies: on, + smallerEq: aa, + smallerEqDependencies: vs, + solveODE: YA, + solveODEDependencies: DP, + sort: ZD, + sortDependencies: AP, + sparse: nD, + sparseDependencies: EP, + speedOfLight: IA, + speedOfLightDependencies: SP, + splitUnit: GN, + splitUnitDependencies: CP, + sqrt: dr, + sqrtDependencies: Vn, + sqrtm: rA, + sqrtmDependencies: TP, + square: HN, + squareDependencies: _P, + squeeze: cD, + squeezeDependencies: MP, + std: cE, + stdDependencies: OP, + stdTransformDependencies: FP, + stefanBoltzmann: BA, + stefanBoltzmannDependencies: qP, + stirlingS2: Cv, + stirlingS2Dependencies: ME, + string: QN, + stringDependencies: IP, + subset: hn, + subsetDependencies: Nn, + subsetTransformDependencies: BP, + subtract: Xt, + subtractDependencies: cr, + subtractScalar: bn, + subtractScalarDependencies: In, + sum: om, + sumDependencies: Wv, + sumTransformDependencies: RP, + sylvester: qv, + sylvesterDependencies: hS, + symbolicEqual: xE, + symbolicEqualDependencies: LP, + tan: VN, + tanDependencies: PP, + tanh: iD, + tanhDependencies: kP, + tau: jd, + tauDependencies: eS, + thomsonCrossSection: RA, + thomsonCrossSectionDependencies: $P, + to: bD, + toDependencies: zP, + trace: mv, + traceDependencies: UP, + transpose: as, + transposeDependencies: No, + trueDependencies: GP, + typeOf: ev, + typeOfDependencies: vS, + typed: se, + typedDependencies: oe, + unaryMinus: Gn, + unaryMinusDependencies: ti, + unaryPlus: im, + unaryPlusDependencies: Jv, + unequal: JD, + unequalDependencies: HP, + unit: XA, + unitDependencies: QP, + usolve: am, + usolveAll: dv, + usolveAllDependencies: ZE, + usolveDependencies: ig, + vacuumImpedance: nA, + vacuumImpedanceDependencies: jP, + variance: fm, + varianceDependencies: cg, + varianceTransformDependencies: ZP, + version: hN, + versionDependencies: JP, + weakMixingAngle: yN, + weakMixingAngleDependencies: YP, + wienDisplacement: iA, + wienDisplacementDependencies: XP, + xgcd: nv, + xgcdDependencies: sS, + xor: wD, + xorDependencies: KP, + zeros: yr, + zerosDependencies: $r, + zeta: fE, + zetaDependencies: ek, + zpk2tf: LD, + zpk2tfDependencies: tk +}, Symbol.toStringTag, { value: "Module" })); +var ok = { 92: () => { +} }, m2 = {}; +function ta(t) { + var e = m2[t]; + if (e !== void 0) return e.exports; + var r = m2[t] = { exports: {} }; + return ok[t](r, r.exports, ta), r.exports; +} +ta.d = (t, e) => { + for (var r in e) ta.o(e, r) && !ta.o(t, r) && Object.defineProperty(t, r, { enumerable: !0, get: e[r] }); +}, ta.o = (t, e) => Object.prototype.hasOwnProperty.call(t, e); +var zt = {}; +(() => { + ta.d(zt, { dx: () => he, q2: () => ft, FO: () => Og, xf: () => As, Gy: () => Bg, s4: () => Or, c7: () => Lg, _7: () => Tg, gp: () => Mg, cK: () => lt, zs: () => Tm, AV: () => As, Xp: () => b, VS: () => C, ul: () => ve, hW: () => Zt, x1: () => It, z5: () => Pt, oN: () => Cm, TB: () => _g, u1: () => To, _b: () => Om, $F: () => Co, _T: () => Fm, db: () => Xi, Zx: () => tr, _x: () => Fr, r8: () => P, JI: () => U, TP: () => k, WU: () => t, Nj: () => u, ZP: () => $S }); + class t { + constructor() { + this.source = null, this.type = null, this.channel = null, this.start = null, this.stop = null, this.tokenIndex = null, this.line = null, this.column = null, this._text = null; + } + getTokenSource() { + return this.source[0]; + } + getInputStream() { + return this.source[1]; + } + get text() { + return this._text; + } + set text(m) { + this._text = m; + } + } + function e(ae, m) { + if (!Array.isArray(ae) || !Array.isArray(m)) return !1; + if (ae === m) return !0; + if (ae.length !== m.length) return !1; + for (let y = 0; y < ae.length; y++) if (!(ae[y] === m[y] || ae[y].equals && ae[y].equals(m[y]))) return !1; + return !0; + } + t.INVALID_TYPE = 0, t.EPSILON = -2, t.MIN_USER_TOKEN_TYPE = 1, t.EOF = -1, t.DEFAULT_CHANNEL = 0, t.HIDDEN_CHANNEL = 1; + const r = Math.round(Math.random() * Math.pow(2, 32)); + function n(ae) { + if (!ae) return 0; + const m = typeof ae, y = m === "string" ? ae : !(m !== "object" || !ae.toString) && ae.toString(); + if (!y) return 0; + let S, F; + const z = 3 & y.length, J = y.length - z; + let fe = r; + const _e = 3432918353, Fe = 461845907; + let $e = 0; + for (; $e < J; ) F = 255 & y.charCodeAt($e) | (255 & y.charCodeAt(++$e)) << 8 | (255 & y.charCodeAt(++$e)) << 16 | (255 & y.charCodeAt(++$e)) << 24, ++$e, F = (65535 & F) * _e + (((F >>> 16) * _e & 65535) << 16) & 4294967295, F = F << 15 | F >>> 17, F = (65535 & F) * Fe + (((F >>> 16) * Fe & 65535) << 16) & 4294967295, fe ^= F, fe = fe << 13 | fe >>> 19, S = 5 * (65535 & fe) + ((5 * (fe >>> 16) & 65535) << 16) & 4294967295, fe = 27492 + (65535 & S) + ((58964 + (S >>> 16) & 65535) << 16); + switch (F = 0, z) { + case 3: + F ^= (255 & y.charCodeAt($e + 2)) << 16; + case 2: + F ^= (255 & y.charCodeAt($e + 1)) << 8; + case 1: + F ^= 255 & y.charCodeAt($e), F = (65535 & F) * _e + (((F >>> 16) * _e & 65535) << 16) & 4294967295, F = F << 15 | F >>> 17, F = (65535 & F) * Fe + (((F >>> 16) * Fe & 65535) << 16) & 4294967295, fe ^= F; + } + return fe ^= y.length, fe ^= fe >>> 16, fe = 2246822507 * (65535 & fe) + ((2246822507 * (fe >>> 16) & 65535) << 16) & 4294967295, fe ^= fe >>> 13, fe = 3266489909 * (65535 & fe) + ((3266489909 * (fe >>> 16) & 65535) << 16) & 4294967295, fe ^= fe >>> 16, fe >>> 0; + } + class a { + constructor() { + this.count = 0, this.hash = 0; + } + update() { + for (let m = 0; m < arguments.length; m++) { + const y = arguments[m]; + if (y != null) if (Array.isArray(y)) this.update.apply(this, y); + else { + let S = 0; + switch (typeof y) { + case "undefined": + case "function": + continue; + case "number": + case "boolean": + S = y; + break; + case "string": + S = n(y); + break; + default: + y.updateHashCode ? y.updateHashCode(this) : console.log("No updateHashCode for " + y.toString()); + continue; + } + S *= 3432918353, S = S << 15 | S >>> 17, S *= 461845907, this.count = this.count + 1; + let F = this.hash ^ S; + F = F << 13 | F >>> 19, F = 5 * F + 3864292196, this.hash = F; + } + } + } + finish() { + let m = this.hash ^ 4 * this.count; + return m ^= m >>> 16, m *= 2246822507, m ^= m >>> 13, m *= 3266489909, m ^= m >>> 16, m; + } + static hashStuff() { + const m = new a(); + return m.update.apply(m, arguments), m.finish(); + } + } + function s(ae) { + return ae ? typeof ae == "string" ? n(ae) : ae.hashCode() : -1; + } + function o(ae, m) { + return ae ? ae.equals(m) : ae === m; + } + function p(ae) { + return ae === null ? "null" : ae; + } + function u(ae) { + return Array.isArray(ae) ? "[" + ae.map(p).join(", ") + "]" : "null"; + } + const f = "h-"; + class l { + constructor(m, y) { + this.data = {}, this.hashFunction = m || s, this.equalsFunction = y || o; + } + add(m) { + const y = f + this.hashFunction(m); + if (y in this.data) { + const S = this.data[y]; + for (let F = 0; F < S.length; F++) if (this.equalsFunction(m, S[F])) return S[F]; + return S.push(m), m; + } + return this.data[y] = [m], m; + } + has(m) { + return this.get(m) != null; + } + get(m) { + const y = f + this.hashFunction(m); + if (y in this.data) { + const S = this.data[y]; + for (let F = 0; F < S.length; F++) if (this.equalsFunction(m, S[F])) return S[F]; + } + return null; + } + values() { + return Object.keys(this.data).filter((m) => m.startsWith(f)).flatMap((m) => this.data[m], this); + } + toString() { + return u(this.values()); + } + get length() { + return Object.keys(this.data).filter((m) => m.startsWith(f)).map((m) => this.data[m].length, this).reduce((m, y) => m + y, 0); + } + } + class c { + hashCode() { + const m = new a(); + return this.updateHashCode(m), m.finish(); + } + evaluate(m, y) { + } + evalPrecedence(m, y) { + return this; + } + static andContext(m, y) { + if (m === null || m === c.NONE) return y; + if (y === null || y === c.NONE) return m; + const S = new h(m, y); + return S.opnds.length === 1 ? S.opnds[0] : S; + } + static orContext(m, y) { + if (m === null) return y; + if (y === null) return m; + if (m === c.NONE || y === c.NONE) return c.NONE; + const S = new d(m, y); + return S.opnds.length === 1 ? S.opnds[0] : S; + } + } + class h extends c { + constructor(m, y) { + super(); + const S = new l(); + m instanceof h ? m.opnds.map(function(z) { + S.add(z); + }) : S.add(m), y instanceof h ? y.opnds.map(function(z) { + S.add(z); + }) : S.add(y); + const F = g(S); + if (F.length > 0) { + let z = null; + F.map(function(J) { + (z === null || J.precedence < z.precedence) && (z = J); + }), S.add(z); + } + this.opnds = Array.from(S.values()); + } + equals(m) { + return this === m || m instanceof h && e(this.opnds, m.opnds); + } + updateHashCode(m) { + m.update(this.opnds, "AND"); + } + evaluate(m, y) { + for (let S = 0; S < this.opnds.length; S++) if (!this.opnds[S].evaluate(m, y)) return !1; + return !0; + } + evalPrecedence(m, y) { + let S = !1; + const F = []; + for (let J = 0; J < this.opnds.length; J++) { + const fe = this.opnds[J], _e = fe.evalPrecedence(m, y); + if (S |= _e !== fe, _e === null) return null; + _e !== c.NONE && F.push(_e); + } + if (!S) return this; + if (F.length === 0) return c.NONE; + let z = null; + return F.map(function(J) { + z = z === null ? J : c.andContext(z, J); + }), z; + } + toString() { + const m = this.opnds.map((y) => y.toString()); + return (m.length > 3 ? m.slice(3) : m).join("&&"); + } + } + class d extends c { + constructor(m, y) { + super(); + const S = new l(); + m instanceof d ? m.opnds.map(function(z) { + S.add(z); + }) : S.add(m), y instanceof d ? y.opnds.map(function(z) { + S.add(z); + }) : S.add(y); + const F = g(S); + if (F.length > 0) { + const z = F.sort(function(fe, _e) { + return fe.compareTo(_e); + }), J = z[z.length - 1]; + S.add(J); + } + this.opnds = Array.from(S.values()); + } + equals(m) { + return this === m || m instanceof d && e(this.opnds, m.opnds); + } + updateHashCode(m) { + m.update(this.opnds, "OR"); + } + evaluate(m, y) { + for (let S = 0; S < this.opnds.length; S++) if (this.opnds[S].evaluate(m, y)) return !0; + return !1; + } + evalPrecedence(m, y) { + let S = !1; + const F = []; + for (let z = 0; z < this.opnds.length; z++) { + const J = this.opnds[z], fe = J.evalPrecedence(m, y); + if (S |= fe !== J, fe === c.NONE) return c.NONE; + fe !== null && F.push(fe); + } + return S ? (F.length === 0, null) : this; + } + toString() { + const m = this.opnds.map((y) => y.toString()); + return (m.length > 3 ? m.slice(3) : m).join("||"); + } + } + function g(ae) { + const m = []; + return ae.values().map(function(y) { + y instanceof c.PrecedencePredicate && m.push(y); + }), m; + } + function v(ae, m) { + if (ae === null) { + const y = { state: null, alt: null, context: null, semanticContext: null }; + return m && (y.reachesIntoOuterContext = 0), y; + } + { + const y = {}; + return y.state = ae.state || null, y.alt = ae.alt === void 0 ? null : ae.alt, y.context = ae.context || null, y.semanticContext = ae.semanticContext || null, m && (y.reachesIntoOuterContext = ae.reachesIntoOuterContext || 0, y.precedenceFilterSuppressed = ae.precedenceFilterSuppressed || !1), y; + } + } + class N { + constructor(m, y) { + this.checkContext(m, y), m = v(m), y = v(y, !0), this.state = m.state !== null ? m.state : y.state, this.alt = m.alt !== null ? m.alt : y.alt, this.context = m.context !== null ? m.context : y.context, this.semanticContext = m.semanticContext !== null ? m.semanticContext : y.semanticContext !== null ? y.semanticContext : c.NONE, this.reachesIntoOuterContext = y.reachesIntoOuterContext, this.precedenceFilterSuppressed = y.precedenceFilterSuppressed; + } + checkContext(m, y) { + m.context !== null && m.context !== void 0 || y !== null && y.context !== null && y.context !== void 0 || (this.context = null); + } + hashCode() { + const m = new a(); + return this.updateHashCode(m), m.finish(); + } + updateHashCode(m) { + m.update(this.state.stateNumber, this.alt, this.context, this.semanticContext); + } + equals(m) { + return this === m || m instanceof N && this.state.stateNumber === m.state.stateNumber && this.alt === m.alt && (this.context === null ? m.context === null : this.context.equals(m.context)) && this.semanticContext.equals(m.semanticContext) && this.precedenceFilterSuppressed === m.precedenceFilterSuppressed; + } + hashCodeForConfigSet() { + const m = new a(); + return m.update(this.state.stateNumber, this.alt, this.semanticContext), m.finish(); + } + equalsForConfigSet(m) { + return this === m || m instanceof N && this.state.stateNumber === m.state.stateNumber && this.alt === m.alt && this.semanticContext.equals(m.semanticContext); + } + toString() { + return "(" + this.state + "," + this.alt + (this.context !== null ? ",[" + this.context.toString() + "]" : "") + (this.semanticContext !== c.NONE ? "," + this.semanticContext.toString() : "") + (this.reachesIntoOuterContext > 0 ? ",up=" + this.reachesIntoOuterContext : "") + ")"; + } + } + class b { + constructor(m, y) { + this.start = m, this.stop = y; + } + clone() { + return new b(this.start, this.stop); + } + contains(m) { + return m >= this.start && m < this.stop; + } + toString() { + return this.start === this.stop - 1 ? this.start.toString() : this.start.toString() + ".." + (this.stop - 1).toString(); + } + get length() { + return this.stop - this.start; + } + } + b.INVALID_INTERVAL = new b(-1, -2); + class C { + constructor() { + this.intervals = null, this.readOnly = !1; + } + first(m) { + return this.intervals === null || this.intervals.length === 0 ? t.INVALID_TYPE : this.intervals[0].start; + } + addOne(m) { + this.addInterval(new b(m, m + 1)); + } + addRange(m, y) { + this.addInterval(new b(m, y + 1)); + } + addInterval(m) { + if (this.intervals === null) this.intervals = [], this.intervals.push(m.clone()); + else { + for (let y = 0; y < this.intervals.length; y++) { + const S = this.intervals[y]; + if (m.stop < S.start) return void this.intervals.splice(y, 0, m); + if (m.stop === S.start) return void (this.intervals[y] = new b(m.start, S.stop)); + if (m.start <= S.stop) return this.intervals[y] = new b(Math.min(S.start, m.start), Math.max(S.stop, m.stop)), void this.reduce(y); + } + this.intervals.push(m.clone()); + } + } + addSet(m) { + return m.intervals !== null && m.intervals.forEach((y) => this.addInterval(y), this), this; + } + reduce(m) { + if (m < this.intervals.length - 1) { + const y = this.intervals[m], S = this.intervals[m + 1]; + y.stop >= S.stop ? (this.intervals.splice(m + 1, 1), this.reduce(m)) : y.stop >= S.start && (this.intervals[m] = new b(y.start, S.stop), this.intervals.splice(m + 1, 1)); + } + } + complement(m, y) { + const S = new C(); + return S.addInterval(new b(m, y + 1)), this.intervals !== null && this.intervals.forEach((F) => S.removeRange(F)), S; + } + contains(m) { + if (this.intervals === null) return !1; + for (let y = 0; y < this.intervals.length; y++) if (this.intervals[y].contains(m)) return !0; + return !1; + } + removeRange(m) { + if (m.start === m.stop - 1) this.removeOne(m.start); + else if (this.intervals !== null) { + let y = 0; + for (let S = 0; S < this.intervals.length; S++) { + const F = this.intervals[y]; + if (m.stop <= F.start) return; + if (m.start > F.start && m.stop < F.stop) { + this.intervals[y] = new b(F.start, m.start); + const z = new b(m.stop, F.stop); + return void this.intervals.splice(y, 0, z); + } + m.start <= F.start && m.stop >= F.stop ? (this.intervals.splice(y, 1), y -= 1) : m.start < F.stop ? this.intervals[y] = new b(F.start, m.start) : m.stop < F.stop && (this.intervals[y] = new b(m.stop, F.stop)), y += 1; + } + } + } + removeOne(m) { + if (this.intervals !== null) for (let y = 0; y < this.intervals.length; y++) { + const S = this.intervals[y]; + if (m < S.start) return; + if (m === S.start && m === S.stop - 1) return void this.intervals.splice(y, 1); + if (m === S.start) return void (this.intervals[y] = new b(S.start + 1, S.stop)); + if (m === S.stop - 1) return void (this.intervals[y] = new b(S.start, S.stop - 1)); + if (m < S.stop - 1) { + const F = new b(S.start, m); + return S.start = m + 1, void this.intervals.splice(y, 0, F); + } + } + } + toString(m, y, S) { + return m = m || null, y = y || null, S = S || !1, this.intervals === null ? "{}" : m !== null || y !== null ? this.toTokenString(m, y) : S ? this.toCharString() : this.toIndexString(); + } + toCharString() { + const m = []; + for (let y = 0; y < this.intervals.length; y++) { + const S = this.intervals[y]; + S.stop === S.start + 1 ? S.start === t.EOF ? m.push("") : m.push("'" + String.fromCharCode(S.start) + "'") : m.push("'" + String.fromCharCode(S.start) + "'..'" + String.fromCharCode(S.stop - 1) + "'"); + } + return m.length > 1 ? "{" + m.join(", ") + "}" : m[0]; + } + toIndexString() { + const m = []; + for (let y = 0; y < this.intervals.length; y++) { + const S = this.intervals[y]; + S.stop === S.start + 1 ? S.start === t.EOF ? m.push("") : m.push(S.start.toString()) : m.push(S.start.toString() + ".." + (S.stop - 1).toString()); + } + return m.length > 1 ? "{" + m.join(", ") + "}" : m[0]; + } + toTokenString(m, y) { + const S = []; + for (let F = 0; F < this.intervals.length; F++) { + const z = this.intervals[F]; + for (let J = z.start; J < z.stop; J++) S.push(this.elementName(m, y, J)); + } + return S.length > 1 ? "{" + S.join(", ") + "}" : S[0]; + } + elementName(m, y, S) { + return S === t.EOF ? "" : S === t.EPSILON ? "" : m[S] || y[S]; + } + get length() { + return this.intervals.map((m) => m.length).reduce((m, y) => m + y); + } + } + class x { + constructor() { + this.atn = null, this.stateNumber = x.INVALID_STATE_NUMBER, this.stateType = null, this.ruleIndex = 0, this.epsilonOnlyTransitions = !1, this.transitions = [], this.nextTokenWithinRule = null; + } + toString() { + return this.stateNumber; + } + equals(m) { + return m instanceof x && this.stateNumber === m.stateNumber; + } + isNonGreedyExitState() { + return !1; + } + addTransition(m, y) { + y === void 0 && (y = -1), this.transitions.length === 0 ? this.epsilonOnlyTransitions = m.isEpsilon : this.epsilonOnlyTransitions !== m.isEpsilon && (this.epsilonOnlyTransitions = !1), y === -1 ? this.transitions.push(m) : this.transitions.splice(y, 1, m); + } + } + x.INVALID_TYPE = 0, x.BASIC = 1, x.RULE_START = 2, x.BLOCK_START = 3, x.PLUS_BLOCK_START = 4, x.STAR_BLOCK_START = 5, x.TOKEN_START = 6, x.RULE_STOP = 7, x.BLOCK_END = 8, x.STAR_LOOP_BACK = 9, x.STAR_LOOP_ENTRY = 10, x.PLUS_LOOP_BACK = 11, x.LOOP_END = 12, x.serializationNames = ["INVALID", "BASIC", "RULE_START", "BLOCK_START", "PLUS_BLOCK_START", "STAR_BLOCK_START", "TOKEN_START", "RULE_STOP", "BLOCK_END", "STAR_LOOP_BACK", "STAR_LOOP_ENTRY", "PLUS_LOOP_BACK", "LOOP_END"], x.INVALID_STATE_NUMBER = -1; + class E extends x { + constructor() { + return super(), this.stateType = x.RULE_STOP, this; + } + } + class D { + constructor(m) { + if (m == null) throw "target cannot be null."; + this.target = m, this.isEpsilon = !1, this.label = null; + } + } + D.EPSILON = 1, D.RANGE = 2, D.RULE = 3, D.PREDICATE = 4, D.ATOM = 5, D.ACTION = 6, D.SET = 7, D.NOT_SET = 8, D.WILDCARD = 9, D.PRECEDENCE = 10, D.serializationNames = ["INVALID", "EPSILON", "RANGE", "RULE", "PREDICATE", "ATOM", "ACTION", "SET", "NOT_SET", "WILDCARD", "PRECEDENCE"], D.serializationTypes = { EpsilonTransition: D.EPSILON, RangeTransition: D.RANGE, RuleTransition: D.RULE, PredicateTransition: D.PREDICATE, AtomTransition: D.ATOM, ActionTransition: D.ACTION, SetTransition: D.SET, NotSetTransition: D.NOT_SET, WildcardTransition: D.WILDCARD, PrecedencePredicateTransition: D.PRECEDENCE }; + class A extends D { + constructor(m, y, S, F) { + super(m), this.ruleIndex = y, this.precedence = S, this.followState = F, this.serializationType = D.RULE, this.isEpsilon = !0; + } + matches(m, y, S) { + return !1; + } + } + class M extends D { + constructor(m, y) { + super(m), this.serializationType = D.SET, y != null ? this.label = y : (this.label = new C(), this.label.addOne(t.INVALID_TYPE)); + } + matches(m, y, S) { + return this.label.contains(m); + } + toString() { + return this.label.toString(); + } + } + class _ extends M { + constructor(m, y) { + super(m, y), this.serializationType = D.NOT_SET; + } + matches(m, y, S) { + return m >= y && m <= S && !super.matches(m, y, S); + } + toString() { + return "~" + super.toString(); + } + } + class O extends D { + constructor(m) { + super(m), this.serializationType = D.WILDCARD; + } + matches(m, y, S) { + return m >= y && m <= S; + } + toString() { + return "."; + } + } + class T extends D { + constructor(m) { + super(m); + } + } + class I { + } + class q extends I { + } + class $ extends q { + } + class U extends $ { + get ruleContext() { + throw new Error("missing interface implementation"); + } + } + class k extends $ { + } + class L extends k { + } + const R = { toStringTree: function(ae, m, y) { + m = m || null, (y = y || null) !== null && (m = y.ruleNames); + let S = R.getNodeText(ae, m); + S = function(J, fe) { + return J = J.replace(/\t/g, "\\t").replace(/\n/g, "\\n").replace(/\r/g, "\\r"); + }(S); + const F = ae.getChildCount(); + if (F === 0) return S; + let z = "(" + S + " "; + F > 0 && (S = R.toStringTree(ae.getChild(0), m), z = z.concat(S)); + for (let J = 1; J < F; J++) S = R.toStringTree(ae.getChild(J), m), z = z.concat(" " + S); + return z = z.concat(")"), z; + }, getNodeText: function(ae, m, y) { + if (m = m || null, (y = y || null) !== null && (m = y.ruleNames), m !== null) { + if (ae instanceof U) { + const F = ae.ruleContext.getAltNumber(); + return F != 0 ? m[ae.ruleIndex] + ":" + F : m[ae.ruleIndex]; + } + if (ae instanceof L) return ae.toString(); + if (ae instanceof k && ae.symbol !== null) return ae.symbol.text; + } + const S = ae.getPayload(); + return S instanceof t ? S.text : ae.getPayload().toString(); + }, getChildren: function(ae) { + const m = []; + for (let y = 0; y < ae.getChildCount(); y++) m.push(ae.getChild(y)); + return m; + }, getAncestors: function(ae) { + let m = []; + for (ae = ae.getParent(); ae !== null; ) m = [ae].concat(m), ae = ae.getParent(); + return m; + }, findAllTokenNodes: function(ae, m) { + return R.findAllNodes(ae, m, !0); + }, findAllRuleNodes: function(ae, m) { + return R.findAllNodes(ae, m, !1); + }, findAllNodes: function(ae, m, y) { + const S = []; + return R._findAllNodes(ae, m, y, S), S; + }, _findAllNodes: function(ae, m, y, S) { + y && ae instanceof k ? ae.symbol.type === m && S.push(ae) : !y && ae instanceof U && ae.ruleIndex === m && S.push(ae); + for (let F = 0; F < ae.getChildCount(); F++) R._findAllNodes(ae.getChild(F), m, y, S); + }, descendants: function(ae) { + let m = [ae]; + for (let y = 0; y < ae.getChildCount(); y++) m = m.concat(R.descendants(ae.getChild(y))); + return m; + } }, G = R; + class P extends U { + constructor(m, y) { + super(), this.parentCtx = m || null, this.invokingState = y || -1; + } + depth() { + let m = 0, y = this; + for (; y !== null; ) y = y.parentCtx, m += 1; + return m; + } + isEmpty() { + return this.invokingState === -1; + } + getSourceInterval() { + return b.INVALID_INTERVAL; + } + get ruleContext() { + return this; + } + getPayload() { + return this; + } + getText() { + return this.getChildCount() === 0 ? "" : this.children.map(function(m) { + return m.getText(); + }).join(""); + } + getAltNumber() { + return 0; + } + setAltNumber(m) { + } + getChild(m) { + return null; + } + getChildCount() { + return 0; + } + accept(m) { + return m.visitChildren(this); + } + toStringTree(m, y) { + return G.toStringTree(this, m, y); + } + toString(m, y) { + m = m || null, y = y || null; + let S = this, F = "["; + for (; S !== null && S !== y; ) { + if (m === null) S.isEmpty() || (F += S.invokingState); + else { + const z = S.ruleIndex; + F += z >= 0 && z < m.length ? m[z] : "" + z; + } + S.parentCtx === null || m === null && S.parentCtx.isEmpty() || (F += " "), S = S.parentCtx; + } + return F += "]", F; + } + } + class W { + constructor(m) { + this.cachedHashCode = m; + } + isEmpty() { + return this === W.EMPTY; + } + hasEmptyPath() { + return this.getReturnState(this.length - 1) === W.EMPTY_RETURN_STATE; + } + hashCode() { + return this.cachedHashCode; + } + updateHashCode(m) { + m.update(this.cachedHashCode); + } + } + W.EMPTY = null, W.EMPTY_RETURN_STATE = 2147483647, W.globalNodeCount = 1, W.id = W.globalNodeCount, W.trace_atn_sim = !1; + class le extends W { + constructor(m, y) { + const S = new a(); + return S.update(m, y), super(S.finish()), this.parents = m, this.returnStates = y, this; + } + isEmpty() { + return this.returnStates[0] === W.EMPTY_RETURN_STATE; + } + getParent(m) { + return this.parents[m]; + } + getReturnState(m) { + return this.returnStates[m]; + } + equals(m) { + return this === m || m instanceof le && this.hashCode() === m.hashCode() && e(this.returnStates, m.returnStates) && e(this.parents, m.parents); + } + toString() { + if (this.isEmpty()) return "[]"; + { + let m = "["; + for (let y = 0; y < this.returnStates.length; y++) y > 0 && (m += ", "), this.returnStates[y] !== W.EMPTY_RETURN_STATE ? (m += this.returnStates[y], this.parents[y] !== null ? m = m + " " + this.parents[y] : m += "null") : m += "$"; + return m + "]"; + } + } + get length() { + return this.returnStates.length; + } + } + class Z extends W { + constructor(m, y) { + let S = 0; + const F = new a(); + m !== null ? F.update(m, y) : F.update(1), S = F.finish(), super(S), this.parentCtx = m, this.returnState = y; + } + getParent(m) { + return this.parentCtx; + } + getReturnState(m) { + return this.returnState; + } + equals(m) { + return this === m || m instanceof Z && this.hashCode() === m.hashCode() && this.returnState === m.returnState && (this.parentCtx == null ? m.parentCtx == null : this.parentCtx.equals(m.parentCtx)); + } + toString() { + const m = this.parentCtx === null ? "" : this.parentCtx.toString(); + return m.length === 0 ? this.returnState === W.EMPTY_RETURN_STATE ? "$" : "" + this.returnState : this.returnState + " " + m; + } + get length() { + return 1; + } + static create(m, y) { + return y === W.EMPTY_RETURN_STATE && m === null ? W.EMPTY : new Z(m, y); + } + } + class H extends Z { + constructor() { + super(null, W.EMPTY_RETURN_STATE); + } + isEmpty() { + return !0; + } + getParent(m) { + return null; + } + getReturnState(m) { + return this.returnState; + } + equals(m) { + return this === m; + } + toString() { + return "$"; + } + } + W.EMPTY = new H(); + const te = "h-"; + class be { + constructor(m, y) { + this.data = {}, this.hashFunction = m || s, this.equalsFunction = y || o; + } + set(m, y) { + const S = te + this.hashFunction(m); + if (S in this.data) { + const F = this.data[S]; + for (let z = 0; z < F.length; z++) { + const J = F[z]; + if (this.equalsFunction(m, J.key)) { + const fe = J.value; + return J.value = y, fe; + } + } + return F.push({ key: m, value: y }), y; + } + return this.data[S] = [{ key: m, value: y }], y; + } + containsKey(m) { + const y = te + this.hashFunction(m); + if (y in this.data) { + const S = this.data[y]; + for (let F = 0; F < S.length; F++) { + const z = S[F]; + if (this.equalsFunction(m, z.key)) return !0; + } + } + return !1; + } + get(m) { + const y = te + this.hashFunction(m); + if (y in this.data) { + const S = this.data[y]; + for (let F = 0; F < S.length; F++) { + const z = S[F]; + if (this.equalsFunction(m, z.key)) return z.value; + } + } + return null; + } + entries() { + return Object.keys(this.data).filter((m) => m.startsWith(te)).flatMap((m) => this.data[m], this); + } + getKeys() { + return this.entries().map((m) => m.key); + } + getValues() { + return this.entries().map((m) => m.value); + } + toString() { + return "[" + this.entries().map((m) => "{" + m.key + ":" + m.value + "}").join(", ") + "]"; + } + get length() { + return Object.keys(this.data).filter((m) => m.startsWith(te)).map((m) => this.data[m].length, this).reduce((m, y) => m + y, 0); + } + } + function K(ae, m) { + if (m == null && (m = P.EMPTY), m.parentCtx === null || m === P.EMPTY) return W.EMPTY; + const y = K(ae, m.parentCtx), S = ae.states[m.invokingState].transitions[0]; + return Z.create(y, S.followState.stateNumber); + } + function ce(ae, m, y) { + if (ae.isEmpty()) return ae; + let S = y.get(ae) || null; + if (S !== null) return S; + if (S = m.get(ae), S !== null) return y.set(ae, S), S; + let F = !1, z = []; + for (let fe = 0; fe < z.length; fe++) { + const _e = ce(ae.getParent(fe), m, y); + if (F || _e !== ae.getParent(fe)) { + if (!F) { + z = []; + for (let Fe = 0; Fe < ae.length; Fe++) z[Fe] = ae.getParent(Fe); + F = !0; + } + z[fe] = _e; + } + } + if (!F) return m.add(ae), y.set(ae, ae), ae; + let J = null; + return J = z.length === 0 ? W.EMPTY : z.length === 1 ? Z.create(z[0], ae.getReturnState(0)) : new le(z, ae.returnStates), m.add(J), y.set(J, J), y.set(ae, J), J; + } + function de(ae, m, y, S) { + if (ae === m) return ae; + if (ae instanceof Z && m instanceof Z) return function(F, z, J, fe) { + if (fe !== null) { + let Fe = fe.get(F, z); + if (Fe !== null || (Fe = fe.get(z, F), Fe !== null)) return Fe; + } + const _e = function(Fe, $e, je) { + if (je) { + if (Fe === W.EMPTY || $e === W.EMPTY) return W.EMPTY; + } else { + if (Fe === W.EMPTY && $e === W.EMPTY) return W.EMPTY; + if (Fe === W.EMPTY) { + const Je = [$e.returnState, W.EMPTY_RETURN_STATE], Ot = [$e.parentCtx, null]; + return new le(Ot, Je); + } + if ($e === W.EMPTY) { + const Je = [Fe.returnState, W.EMPTY_RETURN_STATE], Ot = [Fe.parentCtx, null]; + return new le(Ot, Je); + } + } + return null; + }(F, z, J); + if (_e !== null) return fe !== null && fe.set(F, z, _e), _e; + if (F.returnState === z.returnState) { + const Fe = de(F.parentCtx, z.parentCtx, J, fe); + if (Fe === F.parentCtx) return F; + if (Fe === z.parentCtx) return z; + const $e = Z.create(Fe, F.returnState); + return fe !== null && fe.set(F, z, $e), $e; + } + { + let Fe = null; + if ((F === z || F.parentCtx !== null && F.parentCtx === z.parentCtx) && (Fe = F.parentCtx), Fe !== null) { + const Ot = [F.returnState, z.returnState]; + F.returnState > z.returnState && (Ot[0] = z.returnState, Ot[1] = F.returnState); + const pt = new le([Fe, Fe], Ot); + return fe !== null && fe.set(F, z, pt), pt; + } + const $e = [F.returnState, z.returnState]; + let je = [F.parentCtx, z.parentCtx]; + F.returnState > z.returnState && ($e[0] = z.returnState, $e[1] = F.returnState, je = [z.parentCtx, F.parentCtx]); + const Je = new le(je, $e); + return fe !== null && fe.set(F, z, Je), Je; + } + }(ae, m, y, S); + if (y) { + if (ae instanceof H) return ae; + if (m instanceof H) return m; + } + return ae instanceof Z && (ae = new le([ae.getParent()], [ae.returnState])), m instanceof Z && (m = new le([m.getParent()], [m.returnState])), function(F, z, J, fe) { + if (fe !== null) { + let pt = fe.get(F, z); + if (pt !== null || (pt = fe.get(z, F), pt !== null)) return W.trace_atn_sim && console.log("mergeArrays a=" + F + ",b=" + z + " -> previous"), pt; + } + let _e = 0, Fe = 0, $e = 0, je = new Array(F.returnStates.length + z.returnStates.length).fill(0), Je = new Array(F.returnStates.length + z.returnStates.length).fill(null); + for (; _e < F.returnStates.length && Fe < z.returnStates.length; ) { + const pt = F.parents[_e], dn = z.parents[Fe]; + if (F.returnStates[_e] === z.returnStates[Fe]) { + const Cn = F.returnStates[_e]; + Cn === W.EMPTY_RETURN_STATE && pt === null && dn === null || pt !== null && dn !== null && pt === dn ? (Je[$e] = pt, je[$e] = Cn) : (Je[$e] = de(pt, dn, J, fe), je[$e] = Cn), _e += 1, Fe += 1; + } else F.returnStates[_e] < z.returnStates[Fe] ? (Je[$e] = pt, je[$e] = F.returnStates[_e], _e += 1) : (Je[$e] = dn, je[$e] = z.returnStates[Fe], Fe += 1); + $e += 1; + } + if (_e < F.returnStates.length) for (let pt = _e; pt < F.returnStates.length; pt++) Je[$e] = F.parents[pt], je[$e] = F.returnStates[pt], $e += 1; + else for (let pt = Fe; pt < z.returnStates.length; pt++) Je[$e] = z.parents[pt], je[$e] = z.returnStates[pt], $e += 1; + if ($e < Je.length) { + if ($e === 1) { + const pt = Z.create(Je[0], je[0]); + return fe !== null && fe.set(F, z, pt), pt; + } + Je = Je.slice(0, $e), je = je.slice(0, $e); + } + const Ot = new le(Je, je); + return Ot.equals(F) ? (fe !== null && fe.set(F, z, F), W.trace_atn_sim && console.log("mergeArrays a=" + F + ",b=" + z + " -> a"), F) : Ot.equals(z) ? (fe !== null && fe.set(F, z, z), W.trace_atn_sim && console.log("mergeArrays a=" + F + ",b=" + z + " -> b"), z) : (function(pt) { + const dn = new be(); + for (let Cn = 0; Cn < pt.length; Cn++) { + const qm = pt[Cn]; + dn.containsKey(qm) || dn.set(qm, qm); + } + for (let Cn = 0; Cn < pt.length; Cn++) pt[Cn] = dn.get(pt[Cn]); + }(Je), fe !== null && fe.set(F, z, Ot), W.trace_atn_sim && console.log("mergeArrays a=" + F + ",b=" + z + " -> " + Ot), Ot); + }(ae, m, y, S); + } + class ue { + constructor() { + this.data = []; + } + add(m) { + this.data[m] = !0; + } + or(m) { + Object.keys(m.data).map((y) => this.add(y), this); + } + remove(m) { + delete this.data[m]; + } + has(m) { + return this.data[m] === !0; + } + values() { + return Object.keys(this.data); + } + minValue() { + return Math.min.apply(null, this.values()); + } + hashCode() { + return a.hashStuff(this.values()); + } + equals(m) { + return m instanceof ue && e(this.data, m.data); + } + toString() { + return "{" + this.values().join(", ") + "}"; + } + get length() { + return this.values().length; + } + } + class ve { + constructor(m) { + this.atn = m; + } + getDecisionLookahead(m) { + if (m === null) return null; + const y = m.transitions.length, S = []; + for (let F = 0; F < y; F++) { + S[F] = new C(); + const z = new l(); + this._LOOK(m.transition(F).target, null, W.EMPTY, S[F], z, new ue(), !1, !1), (S[F].length === 0 || S[F].contains(ve.HIT_PRED)) && (S[F] = null); + } + return S; + } + LOOK(m, y, S) { + const F = new C(), z = (S = S || null) !== null ? K(m.atn, S) : null; + return this._LOOK(m, y, z, F, new l(), new ue(), !0, !0), F; + } + _LOOK(m, y, S, F, z, J, fe, _e) { + const Fe = new N({ state: m, alt: 0, context: S }, null); + if (!z.has(Fe)) { + if (z.add(Fe), m === y) { + if (S === null) return void F.addOne(t.EPSILON); + if (S.isEmpty() && _e) return void F.addOne(t.EOF); + } + if (m instanceof E) { + if (S === null) return void F.addOne(t.EPSILON); + if (S.isEmpty() && _e) return void F.addOne(t.EOF); + if (S !== W.EMPTY) { + const $e = J.has(m.ruleIndex); + try { + J.remove(m.ruleIndex); + for (let je = 0; je < S.length; je++) { + const Je = this.atn.states[S.getReturnState(je)]; + this._LOOK(Je, y, S.getParent(je), F, z, J, fe, _e); + } + } finally { + $e && J.add(m.ruleIndex); + } + return; + } + } + for (let $e = 0; $e < m.transitions.length; $e++) { + const je = m.transitions[$e]; + if (je.constructor === A) { + if (J.has(je.target.ruleIndex)) continue; + const Je = Z.create(S, je.followState.stateNumber); + try { + J.add(je.target.ruleIndex), this._LOOK(je.target, y, Je, F, z, J, fe, _e); + } finally { + J.remove(je.target.ruleIndex); + } + } else if (je instanceof T) fe ? this._LOOK(je.target, y, S, F, z, J, fe, _e) : F.addOne(ve.HIT_PRED); + else if (je.isEpsilon) this._LOOK(je.target, y, S, F, z, J, fe, _e); + else if (je.constructor === O) F.addRange(t.MIN_USER_TOKEN_TYPE, this.atn.maxTokenType); + else { + let Je = je.label; + Je !== null && (je instanceof _ && (Je = Je.complement(t.MIN_USER_TOKEN_TYPE, this.atn.maxTokenType)), F.addSet(Je)); + } + } + } + } + } + ve.HIT_PRED = t.INVALID_TYPE; + class he { + constructor(m, y) { + this.grammarType = m, this.maxTokenType = y, this.states = [], this.decisionToState = [], this.ruleToStartState = [], this.ruleToStopState = null, this.modeNameToStartState = {}, this.ruleToTokenType = null, this.lexerActions = null, this.modeToStartState = []; + } + nextTokensInContext(m, y) { + return new ve(this).LOOK(m, null, y); + } + nextTokensNoContext(m) { + return m.nextTokenWithinRule !== null || (m.nextTokenWithinRule = this.nextTokensInContext(m, null), m.nextTokenWithinRule.readOnly = !0), m.nextTokenWithinRule; + } + nextTokens(m, y) { + return y === void 0 ? this.nextTokensNoContext(m) : this.nextTokensInContext(m, y); + } + addState(m) { + m !== null && (m.atn = this, m.stateNumber = this.states.length), this.states.push(m); + } + removeState(m) { + this.states[m.stateNumber] = null; + } + defineDecisionState(m) { + return this.decisionToState.push(m), m.decision = this.decisionToState.length - 1, m.decision; + } + getDecisionState(m) { + return this.decisionToState.length === 0 ? null : this.decisionToState[m]; + } + getExpectedTokens(m, y) { + if (m < 0 || m >= this.states.length) throw "Invalid state number."; + const S = this.states[m]; + let F = this.nextTokens(S); + if (!F.contains(t.EPSILON)) return F; + const z = new C(); + for (z.addSet(F), z.removeOne(t.EPSILON); y !== null && y.invokingState >= 0 && F.contains(t.EPSILON); ) { + const J = this.states[y.invokingState].transitions[0]; + F = this.nextTokens(J.followState), z.addSet(F), z.removeOne(t.EPSILON), y = y.parentCtx; + } + return F.contains(t.EPSILON) && z.addOne(t.EOF), z; + } + } + he.INVALID_ALT_NUMBER = 0; + class Ne extends x { + constructor() { + super(), this.stateType = x.BASIC; + } + } + class we extends x { + constructor() { + return super(), this.decision = -1, this.nonGreedy = !1, this; + } + } + class Se extends we { + constructor() { + return super(), this.endState = null, this; + } + } + class V extends x { + constructor() { + return super(), this.stateType = x.BLOCK_END, this.startState = null, this; + } + } + class re extends x { + constructor() { + return super(), this.stateType = x.LOOP_END, this.loopBackState = null, this; + } + } + class pe extends x { + constructor() { + return super(), this.stateType = x.RULE_START, this.stopState = null, this.isPrecedenceRule = !1, this; + } + } + class X extends we { + constructor() { + return super(), this.stateType = x.TOKEN_START, this; + } + } + class ie extends we { + constructor() { + return super(), this.stateType = x.PLUS_LOOP_BACK, this; + } + } + class me extends x { + constructor() { + return super(), this.stateType = x.STAR_LOOP_BACK, this; + } + } + class Ae extends we { + constructor() { + return super(), this.stateType = x.STAR_LOOP_ENTRY, this.loopBackState = null, this.isPrecedenceDecision = null, this; + } + } + class Me extends Se { + constructor() { + return super(), this.stateType = x.PLUS_BLOCK_START, this.loopBackState = null, this; + } + } + class Q extends Se { + constructor() { + return super(), this.stateType = x.STAR_BLOCK_START, this; + } + } + class ee extends Se { + constructor() { + return super(), this.stateType = x.BLOCK_START, this; + } + } + class ye extends D { + constructor(m, y) { + super(m), this.label_ = y, this.label = this.makeLabel(), this.serializationType = D.ATOM; + } + makeLabel() { + const m = new C(); + return m.addOne(this.label_), m; + } + matches(m, y, S) { + return this.label_ === m; + } + toString() { + return this.label_; + } + } + class Ee extends D { + constructor(m, y, S) { + super(m), this.serializationType = D.RANGE, this.start = y, this.stop = S, this.label = this.makeLabel(); + } + makeLabel() { + const m = new C(); + return m.addRange(this.start, this.stop), m; + } + matches(m, y, S) { + return m >= this.start && m <= this.stop; + } + toString() { + return "'" + String.fromCharCode(this.start) + "'..'" + String.fromCharCode(this.stop) + "'"; + } + } + class Ce extends D { + constructor(m, y, S, F) { + super(m), this.serializationType = D.ACTION, this.ruleIndex = y, this.actionIndex = S === void 0 ? -1 : S, this.isCtxDependent = F !== void 0 && F, this.isEpsilon = !0; + } + matches(m, y, S) { + return !1; + } + toString() { + return "action_" + this.ruleIndex + ":" + this.actionIndex; + } + } + class De extends D { + constructor(m, y) { + super(m), this.serializationType = D.EPSILON, this.isEpsilon = !0, this.outermostPrecedenceReturn = y; + } + matches(m, y, S) { + return !1; + } + toString() { + return "epsilon"; + } + } + class Oe extends c { + constructor(m, y, S) { + super(), this.ruleIndex = m === void 0 ? -1 : m, this.predIndex = y === void 0 ? -1 : y, this.isCtxDependent = S !== void 0 && S; + } + evaluate(m, y) { + const S = this.isCtxDependent ? y : null; + return m.sempred(S, this.ruleIndex, this.predIndex); + } + updateHashCode(m) { + m.update(this.ruleIndex, this.predIndex, this.isCtxDependent); + } + equals(m) { + return this === m || m instanceof Oe && this.ruleIndex === m.ruleIndex && this.predIndex === m.predIndex && this.isCtxDependent === m.isCtxDependent; + } + toString() { + return "{" + this.ruleIndex + ":" + this.predIndex + "}?"; + } + } + c.NONE = new Oe(); + class Be extends T { + constructor(m, y, S, F) { + super(m), this.serializationType = D.PREDICATE, this.ruleIndex = y, this.predIndex = S, this.isCtxDependent = F, this.isEpsilon = !0; + } + matches(m, y, S) { + return !1; + } + getPredicate() { + return new Oe(this.ruleIndex, this.predIndex, this.isCtxDependent); + } + toString() { + return "pred_" + this.ruleIndex + ":" + this.predIndex; + } + } + class Le extends c { + constructor(m) { + super(), this.precedence = m === void 0 ? 0 : m; + } + evaluate(m, y) { + return m.precpred(y, this.precedence); + } + evalPrecedence(m, y) { + return m.precpred(y, this.precedence) ? c.NONE : null; + } + compareTo(m) { + return this.precedence - m.precedence; + } + updateHashCode(m) { + m.update(this.precedence); + } + equals(m) { + return this === m || m instanceof Le && this.precedence === m.precedence; + } + toString() { + return "{" + this.precedence + ">=prec}?"; + } + } + c.PrecedencePredicate = Le; + class Re extends T { + constructor(m, y) { + super(m), this.serializationType = D.PRECEDENCE, this.precedence = y, this.isEpsilon = !0; + } + matches(m, y, S) { + return !1; + } + getPredicate() { + return new Le(this.precedence); + } + toString() { + return this.precedence + " >= _p"; + } + } + class rt { + constructor(m) { + m === void 0 && (m = null), this.readOnly = !1, this.verifyATN = m === null || m.verifyATN, this.generateRuleBypassTransitions = m !== null && m.generateRuleBypassTransitions; + } + } + rt.defaultOptions = new rt(), rt.defaultOptions.readOnly = !0; + class Ke { + constructor(m) { + this.actionType = m, this.isPositionDependent = !1; + } + hashCode() { + const m = new a(); + return this.updateHashCode(m), m.finish(); + } + updateHashCode(m) { + m.update(this.actionType); + } + equals(m) { + return this === m; + } + } + class Ze extends Ke { + constructor() { + super(6); + } + execute(m) { + m.skip(); + } + toString() { + return "skip"; + } + } + Ze.INSTANCE = new Ze(); + class Ie extends Ke { + constructor(m) { + super(0), this.channel = m; + } + execute(m) { + m._channel = this.channel; + } + updateHashCode(m) { + m.update(this.actionType, this.channel); + } + equals(m) { + return this === m || m instanceof Ie && this.channel === m.channel; + } + toString() { + return "channel(" + this.channel + ")"; + } + } + class B extends Ke { + constructor(m, y) { + super(1), this.ruleIndex = m, this.actionIndex = y, this.isPositionDependent = !0; + } + execute(m) { + m.action(null, this.ruleIndex, this.actionIndex); + } + updateHashCode(m) { + m.update(this.actionType, this.ruleIndex, this.actionIndex); + } + equals(m) { + return this === m || m instanceof B && this.ruleIndex === m.ruleIndex && this.actionIndex === m.actionIndex; + } + } + class ne extends Ke { + constructor() { + super(3); + } + execute(m) { + m.more(); + } + toString() { + return "more"; + } + } + ne.INSTANCE = new ne(); + class xe extends Ke { + constructor(m) { + super(7), this.type = m; + } + execute(m) { + m.type = this.type; + } + updateHashCode(m) { + m.update(this.actionType, this.type); + } + equals(m) { + return this === m || m instanceof xe && this.type === m.type; + } + toString() { + return "type(" + this.type + ")"; + } + } + class Te extends Ke { + constructor(m) { + super(5), this.mode = m; + } + execute(m) { + m.pushMode(this.mode); + } + updateHashCode(m) { + m.update(this.actionType, this.mode); + } + equals(m) { + return this === m || m instanceof Te && this.mode === m.mode; + } + toString() { + return "pushMode(" + this.mode + ")"; + } + } + class Pe extends Ke { + constructor() { + super(4); + } + execute(m) { + m.popMode(); + } + toString() { + return "popMode"; + } + } + Pe.INSTANCE = new Pe(); + class Ge extends Ke { + constructor(m) { + super(2), this.mode = m; + } + execute(m) { + m.mode(this.mode); + } + updateHashCode(m) { + m.update(this.actionType, this.mode); + } + equals(m) { + return this === m || m instanceof Ge && this.mode === m.mode; + } + toString() { + return "mode(" + this.mode + ")"; + } + } + function Ve(ae, m) { + const y = []; + return y[ae - 1] = m, y.map(function(S) { + return m; + }); + } + class ft { + constructor(m) { + m == null && (m = rt.defaultOptions), this.deserializationOptions = m, this.stateFactories = null, this.actionFactories = null; + } + deserialize(m) { + const y = this.reset(m); + this.checkVersion(y), y && this.skipUUID(); + const S = this.readATN(); + this.readStates(S, y), this.readRules(S, y), this.readModes(S); + const F = []; + return this.readSets(S, F, this.readInt.bind(this)), y && this.readSets(S, F, this.readInt32.bind(this)), this.readEdges(S, F), this.readDecisions(S), this.readLexerActions(S, y), this.markPrecedenceDecisions(S), this.verifyATN(S), this.deserializationOptions.generateRuleBypassTransitions && S.grammarType === 1 && (this.generateRuleBypassTransitions(S), this.verifyATN(S)), S; + } + reset(m) { + if ((m.charCodeAt ? m.charCodeAt(0) : m[0]) === 3) { + const y = function(F) { + const z = F.charCodeAt(0); + return z > 1 ? z - 2 : z + 65534; + }, S = m.split("").map(y); + return S[0] = m.charCodeAt(0), this.data = S, this.pos = 0, !0; + } + return this.data = m, this.pos = 0, !1; + } + skipUUID() { + let m = 0; + for (; m++ < 8; ) this.readInt(); + } + checkVersion(m) { + const y = this.readInt(); + if (!m && y !== 4) throw "Could not deserialize ATN with version " + y + " (expected 4)."; + } + readATN() { + const m = this.readInt(), y = this.readInt(); + return new he(m, y); + } + readStates(m, y) { + let S, F, z; + const J = [], fe = [], _e = this.readInt(); + for (let je = 0; je < _e; je++) { + const Je = this.readInt(); + if (Je === x.INVALID_TYPE) { + m.addState(null); + continue; + } + let Ot = this.readInt(); + y && Ot === 65535 && (Ot = -1); + const pt = this.stateFactory(Je, Ot); + if (Je === x.LOOP_END) { + const dn = this.readInt(); + J.push([pt, dn]); + } else if (pt instanceof Se) { + const dn = this.readInt(); + fe.push([pt, dn]); + } + m.addState(pt); + } + for (S = 0; S < J.length; S++) F = J[S], F[0].loopBackState = m.states[F[1]]; + for (S = 0; S < fe.length; S++) F = fe[S], F[0].endState = m.states[F[1]]; + let Fe = this.readInt(); + for (S = 0; S < Fe; S++) z = this.readInt(), m.states[z].nonGreedy = !0; + let $e = this.readInt(); + for (S = 0; S < $e; S++) z = this.readInt(), m.states[z].isPrecedenceRule = !0; + } + readRules(m, y) { + let S; + const F = this.readInt(); + for (m.grammarType === 0 && (m.ruleToTokenType = Ve(F, 0)), m.ruleToStartState = Ve(F, 0), S = 0; S < F; S++) { + const z = this.readInt(); + if (m.ruleToStartState[S] = m.states[z], m.grammarType === 0) { + let J = this.readInt(); + y && J === 65535 && (J = t.EOF), m.ruleToTokenType[S] = J; + } + } + for (m.ruleToStopState = Ve(F, 0), S = 0; S < m.states.length; S++) { + const z = m.states[S]; + z instanceof E && (m.ruleToStopState[z.ruleIndex] = z, m.ruleToStartState[z.ruleIndex].stopState = z); + } + } + readModes(m) { + const y = this.readInt(); + for (let S = 0; S < y; S++) { + let F = this.readInt(); + m.modeToStartState.push(m.states[F]); + } + } + readSets(m, y, S) { + const F = this.readInt(); + for (let z = 0; z < F; z++) { + const J = new C(); + y.push(J); + const fe = this.readInt(); + this.readInt() !== 0 && J.addOne(-1); + for (let _e = 0; _e < fe; _e++) { + const Fe = S(), $e = S(); + J.addRange(Fe, $e); + } + } + } + readEdges(m, y) { + let S, F, z, J, fe; + const _e = this.readInt(); + for (S = 0; S < _e; S++) { + const Fe = this.readInt(), $e = this.readInt(), je = this.readInt(), Je = this.readInt(), Ot = this.readInt(), pt = this.readInt(); + J = this.edgeFactory(m, je, Fe, $e, Je, Ot, pt, y), m.states[Fe].addTransition(J); + } + for (S = 0; S < m.states.length; S++) for (z = m.states[S], F = 0; F < z.transitions.length; F++) { + const Fe = z.transitions[F]; + if (!(Fe instanceof A)) continue; + let $e = -1; + m.ruleToStartState[Fe.target.ruleIndex].isPrecedenceRule && Fe.precedence === 0 && ($e = Fe.target.ruleIndex), J = new De(Fe.followState, $e), m.ruleToStopState[Fe.target.ruleIndex].addTransition(J); + } + for (S = 0; S < m.states.length; S++) { + if (z = m.states[S], z instanceof Se) { + if (z.endState === null || z.endState.startState !== null) throw "IllegalState"; + z.endState.startState = z; + } + if (z instanceof ie) for (F = 0; F < z.transitions.length; F++) fe = z.transitions[F].target, fe instanceof Me && (fe.loopBackState = z); + else if (z instanceof me) for (F = 0; F < z.transitions.length; F++) fe = z.transitions[F].target, fe instanceof Ae && (fe.loopBackState = z); + } + } + readDecisions(m) { + const y = this.readInt(); + for (let S = 0; S < y; S++) { + const F = this.readInt(), z = m.states[F]; + m.decisionToState.push(z), z.decision = S; + } + } + readLexerActions(m, y) { + if (m.grammarType === 0) { + const S = this.readInt(); + m.lexerActions = Ve(S, null); + for (let F = 0; F < S; F++) { + const z = this.readInt(); + let J = this.readInt(); + y && J === 65535 && (J = -1); + let fe = this.readInt(); + y && fe === 65535 && (fe = -1), m.lexerActions[F] = this.lexerActionFactory(z, J, fe); + } + } + } + generateRuleBypassTransitions(m) { + let y; + const S = m.ruleToStartState.length; + for (y = 0; y < S; y++) m.ruleToTokenType[y] = m.maxTokenType + y + 1; + for (y = 0; y < S; y++) this.generateRuleBypassTransition(m, y); + } + generateRuleBypassTransition(m, y) { + let S, F; + const z = new ee(); + z.ruleIndex = y, m.addState(z); + const J = new V(); + J.ruleIndex = y, m.addState(J), z.endState = J, m.defineDecisionState(z), J.startState = z; + let fe = null, _e = null; + if (m.ruleToStartState[y].isPrecedenceRule) { + for (_e = null, S = 0; S < m.states.length; S++) if (F = m.states[S], this.stateIsEndStateFor(F, y)) { + _e = F, fe = F.loopBackState.transitions[0]; + break; + } + if (fe === null) throw "Couldn't identify final state of the precedence rule prefix section."; + } else _e = m.ruleToStopState[y]; + for (S = 0; S < m.states.length; S++) { + F = m.states[S]; + for (let Je = 0; Je < F.transitions.length; Je++) { + const Ot = F.transitions[Je]; + Ot !== fe && Ot.target === _e && (Ot.target = J); + } + } + const Fe = m.ruleToStartState[y], $e = Fe.transitions.length; + for (; $e > 0; ) z.addTransition(Fe.transitions[$e - 1]), Fe.transitions = Fe.transitions.slice(-1); + m.ruleToStartState[y].addTransition(new De(z)), J.addTransition(new De(_e)); + const je = new Ne(); + m.addState(je), je.addTransition(new ye(J, m.ruleToTokenType[y])), z.addTransition(new De(je)); + } + stateIsEndStateFor(m, y) { + if (m.ruleIndex !== y || !(m instanceof Ae)) return null; + const S = m.transitions[m.transitions.length - 1].target; + return S instanceof re && S.epsilonOnlyTransitions && S.transitions[0].target instanceof E ? m : null; + } + markPrecedenceDecisions(m) { + for (let y = 0; y < m.states.length; y++) { + const S = m.states[y]; + if (S instanceof Ae && m.ruleToStartState[S.ruleIndex].isPrecedenceRule) { + const F = S.transitions[S.transitions.length - 1].target; + F instanceof re && F.epsilonOnlyTransitions && F.transitions[0].target instanceof E && (S.isPrecedenceDecision = !0); + } + } + } + verifyATN(m) { + if (this.deserializationOptions.verifyATN) for (let y = 0; y < m.states.length; y++) { + const S = m.states[y]; + if (S !== null) if (this.checkCondition(S.epsilonOnlyTransitions || S.transitions.length <= 1), S instanceof Me) this.checkCondition(S.loopBackState !== null); + else if (S instanceof Ae) if (this.checkCondition(S.loopBackState !== null), this.checkCondition(S.transitions.length === 2), S.transitions[0].target instanceof Q) this.checkCondition(S.transitions[1].target instanceof re), this.checkCondition(!S.nonGreedy); + else { + if (!(S.transitions[0].target instanceof re)) throw "IllegalState"; + this.checkCondition(S.transitions[1].target instanceof Q), this.checkCondition(S.nonGreedy); + } + else S instanceof me ? (this.checkCondition(S.transitions.length === 1), this.checkCondition(S.transitions[0].target instanceof Ae)) : S instanceof re ? this.checkCondition(S.loopBackState !== null) : S instanceof pe ? this.checkCondition(S.stopState !== null) : S instanceof Se ? this.checkCondition(S.endState !== null) : S instanceof V ? this.checkCondition(S.startState !== null) : S instanceof we ? this.checkCondition(S.transitions.length <= 1 || S.decision >= 0) : this.checkCondition(S.transitions.length <= 1 || S instanceof E); + } + } + checkCondition(m, y) { + if (!m) throw y == null && (y = "IllegalState"), y; + } + readInt() { + return this.data[this.pos++]; + } + readInt32() { + return this.readInt() | this.readInt() << 16; + } + edgeFactory(m, y, S, F, z, J, fe, _e) { + const Fe = m.states[F]; + switch (y) { + case D.EPSILON: + return new De(Fe); + case D.RANGE: + return new Ee(Fe, fe !== 0 ? t.EOF : z, J); + case D.RULE: + return new A(m.states[z], J, fe, Fe); + case D.PREDICATE: + return new Be(Fe, z, J, fe !== 0); + case D.PRECEDENCE: + return new Re(Fe, z); + case D.ATOM: + return new ye(Fe, fe !== 0 ? t.EOF : z); + case D.ACTION: + return new Ce(Fe, z, J, fe !== 0); + case D.SET: + return new M(Fe, _e[z]); + case D.NOT_SET: + return new _(Fe, _e[z]); + case D.WILDCARD: + return new O(Fe); + default: + throw "The specified transition type: " + y + " is not valid."; + } + } + stateFactory(m, y) { + if (this.stateFactories === null) { + const S = []; + S[x.INVALID_TYPE] = null, S[x.BASIC] = () => new Ne(), S[x.RULE_START] = () => new pe(), S[x.BLOCK_START] = () => new ee(), S[x.PLUS_BLOCK_START] = () => new Me(), S[x.STAR_BLOCK_START] = () => new Q(), S[x.TOKEN_START] = () => new X(), S[x.RULE_STOP] = () => new E(), S[x.BLOCK_END] = () => new V(), S[x.STAR_LOOP_BACK] = () => new me(), S[x.STAR_LOOP_ENTRY] = () => new Ae(), S[x.PLUS_LOOP_BACK] = () => new ie(), S[x.LOOP_END] = () => new re(), this.stateFactories = S; + } + if (m > this.stateFactories.length || this.stateFactories[m] === null) throw "The specified state type " + m + " is not valid."; + { + const S = this.stateFactories[m](); + if (S !== null) return S.ruleIndex = y, S; + } + } + lexerActionFactory(m, y, S) { + if (this.actionFactories === null) { + const F = []; + F[0] = (z, J) => new Ie(z), F[1] = (z, J) => new B(z, J), F[2] = (z, J) => new Ge(z), F[3] = (z, J) => ne.INSTANCE, F[4] = (z, J) => Pe.INSTANCE, F[5] = (z, J) => new Te(z), F[6] = (z, J) => Ze.INSTANCE, F[7] = (z, J) => new xe(z), this.actionFactories = F; + } + if (m > this.actionFactories.length || this.actionFactories[m] === null) throw "The specified lexer action type " + m + " is not valid."; + return this.actionFactories[m](y, S); + } + } + class lt { + syntaxError(m, y, S, F, z, J) { + } + reportAmbiguity(m, y, S, F, z, J, fe) { + } + reportAttemptingFullContext(m, y, S, F, z, J) { + } + reportContextSensitivity(m, y, S, F, z, J) { + } + } + class Nr extends lt { + constructor() { + super(); + } + syntaxError(m, y, S, F, z, J) { + console.error("line " + S + ":" + F + " " + z); + } + } + Nr.INSTANCE = new Nr(); + class Ur extends lt { + constructor(m) { + if (super(), m === null) throw "delegates"; + return this.delegates = m, this; + } + syntaxError(m, y, S, F, z, J) { + this.delegates.map((fe) => fe.syntaxError(m, y, S, F, z, J)); + } + reportAmbiguity(m, y, S, F, z, J, fe) { + this.delegates.map((_e) => _e.reportAmbiguity(m, y, S, F, z, J, fe)); + } + reportAttemptingFullContext(m, y, S, F, z, J) { + this.delegates.map((fe) => fe.reportAttemptingFullContext(m, y, S, F, z, J)); + } + reportContextSensitivity(m, y, S, F, z, J) { + this.delegates.map((fe) => fe.reportContextSensitivity(m, y, S, F, z, J)); + } + } + class An { + constructor() { + this._listeners = [Nr.INSTANCE], this._interp = null, this._stateNumber = -1; + } + checkVersion(m) { + const y = "4.13.1"; + y !== m && console.log("ANTLR runtime and generated code versions disagree: " + y + "!=" + m); + } + addErrorListener(m) { + this._listeners.push(m); + } + removeErrorListeners() { + this._listeners = []; + } + getLiteralNames() { + return Object.getPrototypeOf(this).constructor.literalNames || []; + } + getSymbolicNames() { + return Object.getPrototypeOf(this).constructor.symbolicNames || []; + } + getTokenNames() { + if (!this.tokenNames) { + const m = this.getLiteralNames(), y = this.getSymbolicNames(), S = m.length > y.length ? m.length : y.length; + this.tokenNames = []; + for (let F = 0; F < S; F++) this.tokenNames[F] = m[F] || y[F] || ""; + let y = m.text; + return y === null && (y = m.type === t.EOF ? "" : "<" + m.type + ">"), y = y.replace(` +`, "\\n").replace("\r", "\\r").replace(" ", "\\t"), "'" + y + "'"; + } + getErrorListenerDispatch() { + return new Ur(this._listeners); + } + sempred(m, y, S) { + return !0; + } + precpred(m, y) { + return !0; + } + get atn() { + return this._interp.atn; + } + get state() { + return this._stateNumber; + } + set state(m) { + this._stateNumber = m; + } + } + An.tokenTypeMapCache = {}, An.ruleIndexMapCache = {}; + class Or extends t { + constructor(m, y, S, F, z) { + super(), this.source = m !== void 0 ? m : Or.EMPTY_SOURCE, this.type = y !== void 0 ? y : null, this.channel = S !== void 0 ? S : t.DEFAULT_CHANNEL, this.start = F !== void 0 ? F : -1, this.stop = z !== void 0 ? z : -1, this.tokenIndex = -1, this.source[0] !== null ? (this.line = m[0].line, this.column = m[0].column) : this.column = -1; + } + clone() { + const m = new Or(this.source, this.type, this.channel, this.start, this.stop); + return m.tokenIndex = this.tokenIndex, m.line = this.line, m.column = this.column, m.text = this.text, m; + } + cloneWithType(m) { + const y = new Or(this.source, m, this.channel, this.start, this.stop); + return y.tokenIndex = this.tokenIndex, y.line = this.line, y.column = this.column, m === t.EOF && (y.text = ""), y; + } + toString() { + let m = this.text; + return m = m !== null ? m.replace(/\n/g, "\\n").replace(/\r/g, "\\r").replace(/\t/g, "\\t") : "", "[@" + this.tokenIndex + "," + this.start + ":" + this.stop + "='" + m + "',<" + this.type + ">" + (this.channel > 0 ? ",channel=" + this.channel : "") + "," + this.line + ":" + this.column + "]"; + } + get text() { + if (this._text !== null) return this._text; + const m = this.getInputStream(); + if (m === null) return null; + const y = m.size; + return this.start < y && this.stop < y ? m.getText(this.start, this.stop) : ""; + } + set text(m) { + this._text = m; + } + } + Or.EMPTY_SOURCE = [null, null]; + class Aa { + } + class fr extends Aa { + constructor(m) { + super(), this.copyText = m !== void 0 && m; + } + create(m, y, S, F, z, J, fe, _e) { + const Fe = new Or(m, y, F, z, J); + return Fe.line = fe, Fe.column = _e, S !== null ? Fe.text = S : this.copyText && m[1] !== null && (Fe.text = m[1].getText(z, J)), Fe; + } + createThin(m, y) { + const S = new Or(null, m); + return S.text = y, S; + } + } + fr.DEFAULT = new fr(); + class Fr extends Error { + constructor(m) { + super(m.message), Error.captureStackTrace && Error.captureStackTrace(this, Fr), this.message = m.message, this.recognizer = m.recognizer, this.input = m.input, this.ctx = m.ctx, this.offendingToken = null, this.offendingState = -1, this.recognizer !== null && (this.offendingState = this.recognizer.state); + } + getExpectedTokens() { + return this.recognizer !== null ? this.recognizer.atn.getExpectedTokens(this.offendingState, this.ctx) : null; + } + toString() { + return this.message; + } + } + class Dr extends Fr { + constructor(m, y, S, F) { + super({ message: "", recognizer: m, input: y, ctx: null }), this.startIndex = S, this.deadEndConfigs = F; + } + toString() { + let m = ""; + return this.startIndex >= 0 && this.startIndex < this.input.size && (m = this.input.getText(new b(this.startIndex, this.startIndex))), "LexerNoViableAltException" + m; + } + } + class Zt extends An { + constructor(m) { + super(), this._input = m, this._factory = fr.DEFAULT, this._tokenFactorySourcePair = [this, m], this._interp = null, this._token = null, this._tokenStartCharIndex = -1, this._tokenStartLine = -1, this._tokenStartColumn = -1, this._hitEOF = !1, this._channel = t.DEFAULT_CHANNEL, this._type = t.INVALID_TYPE, this._modeStack = [], this._mode = Zt.DEFAULT_MODE, this._text = null; + } + reset() { + this._input !== null && this._input.seek(0), this._token = null, this._type = t.INVALID_TYPE, this._channel = t.DEFAULT_CHANNEL, this._tokenStartCharIndex = -1, this._tokenStartColumn = -1, this._tokenStartLine = -1, this._text = null, this._hitEOF = !1, this._mode = Zt.DEFAULT_MODE, this._modeStack = [], this._interp.reset(); + } + nextToken() { + if (this._input === null) throw "nextToken requires a non-null input stream."; + const m = this._input.mark(); + try { + for (; ; ) { + if (this._hitEOF) return this.emitEOF(), this._token; + this._token = null, this._channel = t.DEFAULT_CHANNEL, this._tokenStartCharIndex = this._input.index, this._tokenStartColumn = this._interp.column, this._tokenStartLine = this._interp.line, this._text = null; + let y = !1; + for (; ; ) { + this._type = t.INVALID_TYPE; + let S = Zt.SKIP; + try { + S = this._interp.match(this._input, this._mode); + } catch (F) { + if (!(F instanceof Fr)) throw console.log(F.stack), F; + this.notifyListeners(F), this.recover(F); + } + if (this._input.LA(1) === t.EOF && (this._hitEOF = !0), this._type === t.INVALID_TYPE && (this._type = S), this._type === Zt.SKIP) { + y = !0; + break; + } + if (this._type !== Zt.MORE) break; + } + if (!y) return this._token === null && this.emit(), this._token; + } + } finally { + this._input.release(m); + } + } + skip() { + this._type = Zt.SKIP; + } + more() { + this._type = Zt.MORE; + } + mode(m) { + this._mode = m; + } + pushMode(m) { + this._interp.debug && console.log("pushMode " + m), this._modeStack.push(this._mode), this.mode(m); + } + popMode() { + if (this._modeStack.length === 0) throw "Empty Stack"; + return this._interp.debug && console.log("popMode back to " + this._modeStack.slice(0, -1)), this.mode(this._modeStack.pop()), this._mode; + } + emitToken(m) { + this._token = m; + } + emit() { + const m = this._factory.create(this._tokenFactorySourcePair, this._type, this._text, this._channel, this._tokenStartCharIndex, this.getCharIndex() - 1, this._tokenStartLine, this._tokenStartColumn); + return this.emitToken(m), m; + } + emitEOF() { + const m = this.column, y = this.line, S = this._factory.create(this._tokenFactorySourcePair, t.EOF, null, t.DEFAULT_CHANNEL, this._input.index, this._input.index - 1, y, m); + return this.emitToken(S), S; + } + getCharIndex() { + return this._input.index; + } + getAllTokens() { + const m = []; + let y = this.nextToken(); + for (; y.type !== t.EOF; ) m.push(y), y = this.nextToken(); + return m; + } + notifyListeners(m) { + const y = this._tokenStartCharIndex, S = this._input.index, F = this._input.getText(y, S), z = "token recognition error at: '" + this.getErrorDisplay(F) + "'"; + this.getErrorListenerDispatch().syntaxError(this, null, this._tokenStartLine, this._tokenStartColumn, z, m); + } + getErrorDisplay(m) { + const y = []; + for (let S = 0; S < m.length; S++) y.push(m[S]); + return y.join(""); + } + getErrorDisplayForChar(m) { + return m.charCodeAt(0) === t.EOF ? "" : m === ` +` ? "\\n" : m === " " ? "\\t" : m === "\r" ? "\\r" : m; + } + getCharErrorDisplay(m) { + return "'" + this.getErrorDisplayForChar(m) + "'"; + } + recover(m) { + this._input.LA(1) !== t.EOF && (m instanceof Dr ? this._interp.consume(this._input) : this._input.consume()); + } + get inputStream() { + return this._input; + } + set inputStream(m) { + this._input = null, this._tokenFactorySourcePair = [this, this._input], this.reset(), this._input = m, this._tokenFactorySourcePair = [this, this._input]; + } + get sourceName() { + return this._input.sourceName; + } + get type() { + return this._type; + } + set type(m) { + this._type = m; + } + get line() { + return this._interp.line; + } + set line(m) { + this._interp.line = m; + } + get column() { + return this._interp.column; + } + set column(m) { + this._interp.column = m; + } + get text() { + return this._text !== null ? this._text : this._interp.getText(this._input); + } + set text(m) { + this._text = m; + } + } + function pr(ae) { + return ae.hashCodeForConfigSet(); + } + function Ji(ae, m) { + return ae === m || ae !== null && m !== null && ae.equalsForConfigSet(m); + } + Zt.DEFAULT_MODE = 0, Zt.MORE = -2, Zt.SKIP = -3, Zt.DEFAULT_TOKEN_CHANNEL = t.DEFAULT_CHANNEL, Zt.HIDDEN = t.HIDDEN_CHANNEL, Zt.MIN_CHAR_VALUE = 0, Zt.MAX_CHAR_VALUE = 1114111; + class Kt { + constructor(m) { + this.configLookup = new l(pr, Ji), this.fullCtx = m === void 0 || m, this.readOnly = !1, this.configs = [], this.uniqueAlt = 0, this.conflictingAlts = null, this.hasSemanticContext = !1, this.dipsIntoOuterContext = !1, this.cachedHashCode = -1; + } + add(m, y) { + if (y === void 0 && (y = null), this.readOnly) throw "This set is readonly"; + m.semanticContext !== c.NONE && (this.hasSemanticContext = !0), m.reachesIntoOuterContext > 0 && (this.dipsIntoOuterContext = !0); + const S = this.configLookup.add(m); + if (S === m) return this.cachedHashCode = -1, this.configs.push(m), !0; + const F = !this.fullCtx, z = de(S.context, m.context, F, y); + return S.reachesIntoOuterContext = Math.max(S.reachesIntoOuterContext, m.reachesIntoOuterContext), m.precedenceFilterSuppressed && (S.precedenceFilterSuppressed = !0), S.context = z, !0; + } + getStates() { + const m = new l(); + for (let y = 0; y < this.configs.length; y++) m.add(this.configs[y].state); + return m; + } + getPredicates() { + const m = []; + for (let y = 0; y < this.configs.length; y++) { + const S = this.configs[y].semanticContext; + S !== c.NONE && m.push(S.semanticContext); + } + return m; + } + optimizeConfigs(m) { + if (this.readOnly) throw "This set is readonly"; + if (this.configLookup.length !== 0) for (let y = 0; y < this.configs.length; y++) { + const S = this.configs[y]; + S.context = m.getCachedContext(S.context); + } + } + addAll(m) { + for (let y = 0; y < m.length; y++) this.add(m[y]); + return !1; + } + equals(m) { + return this === m || m instanceof Kt && e(this.configs, m.configs) && this.fullCtx === m.fullCtx && this.uniqueAlt === m.uniqueAlt && this.conflictingAlts === m.conflictingAlts && this.hasSemanticContext === m.hasSemanticContext && this.dipsIntoOuterContext === m.dipsIntoOuterContext; + } + hashCode() { + const m = new a(); + return m.update(this.configs), m.finish(); + } + updateHashCode(m) { + this.readOnly ? (this.cachedHashCode === -1 && (this.cachedHashCode = this.hashCode()), m.update(this.cachedHashCode)) : m.update(this.hashCode()); + } + isEmpty() { + return this.configs.length === 0; + } + contains(m) { + if (this.configLookup === null) throw "This method is not implemented for readonly sets."; + return this.configLookup.contains(m); + } + containsFast(m) { + if (this.configLookup === null) throw "This method is not implemented for readonly sets."; + return this.configLookup.containsFast(m); + } + clear() { + if (this.readOnly) throw "This set is readonly"; + this.configs = [], this.cachedHashCode = -1, this.configLookup = new l(); + } + setReadonly(m) { + this.readOnly = m, m && (this.configLookup = null); + } + toString() { + return u(this.configs) + (this.hasSemanticContext ? ",hasSemanticContext=" + this.hasSemanticContext : "") + (this.uniqueAlt !== he.INVALID_ALT_NUMBER ? ",uniqueAlt=" + this.uniqueAlt : "") + (this.conflictingAlts !== null ? ",conflictingAlts=" + this.conflictingAlts : "") + (this.dipsIntoOuterContext ? ",dipsIntoOuterContext" : ""); + } + get items() { + return this.configs; + } + get length() { + return this.configs.length; + } + } + class sr { + constructor(m, y) { + return m === null && (m = -1), y === null && (y = new Kt()), this.stateNumber = m, this.configs = y, this.edges = null, this.isAcceptState = !1, this.prediction = 0, this.lexerActionExecutor = null, this.requiresFullContext = !1, this.predicates = null, this; + } + getAltSet() { + const m = new l(); + if (this.configs !== null) for (let y = 0; y < this.configs.length; y++) { + const S = this.configs[y]; + m.add(S.alt); + } + return m.length === 0 ? null : m; + } + equals(m) { + return this === m || m instanceof sr && this.configs.equals(m.configs); + } + toString() { + let m = this.stateNumber + ":" + this.configs; + return this.isAcceptState && (m += "=>", this.predicates !== null ? m += this.predicates : m += this.prediction), m; + } + hashCode() { + const m = new a(); + return m.update(this.configs), m.finish(); + } + } + class Ar { + constructor(m, y) { + return this.atn = m, this.sharedContextCache = y, this; + } + getCachedContext(m) { + if (this.sharedContextCache === null) return m; + const y = new be(); + return ce(m, this.sharedContextCache, y); + } + } + Ar.ERROR = new sr(2147483647, new Kt()); + class En extends Kt { + constructor() { + super(), this.configLookup = new l(); + } + } + class er extends N { + constructor(m, y) { + super(m, y); + const S = m.lexerActionExecutor || null; + return this.lexerActionExecutor = S || (y !== null ? y.lexerActionExecutor : null), this.passedThroughNonGreedyDecision = y !== null && this.checkNonGreedyDecision(y, this.state), this.hashCodeForConfigSet = er.prototype.hashCode, this.equalsForConfigSet = er.prototype.equals, this; + } + updateHashCode(m) { + m.update(this.state.stateNumber, this.alt, this.context, this.semanticContext, this.passedThroughNonGreedyDecision, this.lexerActionExecutor); + } + equals(m) { + return this === m || m instanceof er && this.passedThroughNonGreedyDecision === m.passedThroughNonGreedyDecision && (this.lexerActionExecutor ? this.lexerActionExecutor.equals(m.lexerActionExecutor) : !m.lexerActionExecutor) && super.equals(m); + } + checkNonGreedyDecision(m, y) { + return m.passedThroughNonGreedyDecision || y instanceof we && y.nonGreedy; + } + } + class ii extends Ke { + constructor(m, y) { + super(y.actionType), this.offset = m, this.action = y, this.isPositionDependent = !0; + } + execute(m) { + this.action.execute(m); + } + updateHashCode(m) { + m.update(this.actionType, this.offset, this.action); + } + equals(m) { + return this === m || m instanceof ii && this.offset === m.offset && this.action === m.action; + } + } + class Yr { + constructor(m) { + return this.lexerActions = m === null ? [] : m, this.cachedHashCode = a.hashStuff(m), this; + } + fixOffsetBeforeMatch(m) { + let y = null; + for (let S = 0; S < this.lexerActions.length; S++) !this.lexerActions[S].isPositionDependent || this.lexerActions[S] instanceof ii || (y === null && (y = this.lexerActions.concat([])), y[S] = new ii(m, this.lexerActions[S])); + return y === null ? this : new Yr(y); + } + execute(m, y, S) { + let F = !1; + const z = y.index; + try { + for (let J = 0; J < this.lexerActions.length; J++) { + let fe = this.lexerActions[J]; + if (fe instanceof ii) { + const _e = fe.offset; + y.seek(S + _e), fe = fe.action, F = S + _e !== z; + } else fe.isPositionDependent && (y.seek(z), F = !1); + fe.execute(m); + } + } finally { + F && y.seek(z); + } + } + hashCode() { + return this.cachedHashCode; + } + updateHashCode(m) { + m.update(this.cachedHashCode); + } + equals(m) { + if (this === m) return !0; + if (m instanceof Yr) { + if (this.cachedHashCode != m.cachedHashCode || this.lexerActions.length != m.lexerActions.length) return !1; + { + const y = this.lexerActions.length; + for (let S = 0; S < y; ++S) if (!this.lexerActions[S].equals(m.lexerActions[S])) return !1; + return !0; + } + } + return !1; + } + static append(m, y) { + if (m === null) return new Yr([y]); + const S = m.lexerActions.concat([y]); + return new Yr(S); + } + } + function Yi(ae) { + ae.index = -1, ae.line = 0, ae.column = -1, ae.dfaState = null; + } + class bs { + constructor() { + Yi(this); + } + reset() { + Yi(this); + } + } + class It extends Ar { + constructor(m, y, S, F) { + super(y, F), this.decisionToDFA = S, this.recog = m, this.startIndex = -1, this.line = 1, this.column = 0, this.mode = Zt.DEFAULT_MODE, this.prevAccept = new bs(); + } + copyState(m) { + this.column = m.column, this.line = m.line, this.mode = m.mode, this.startIndex = m.startIndex; + } + match(m, y) { + this.mode = y; + const S = m.mark(); + try { + this.startIndex = m.index, this.prevAccept.reset(); + const F = this.decisionToDFA[y]; + return F.s0 === null ? this.matchATN(m) : this.execATN(m, F.s0); + } finally { + m.release(S); + } + } + reset() { + this.prevAccept.reset(), this.startIndex = -1, this.line = 1, this.column = 0, this.mode = Zt.DEFAULT_MODE; + } + matchATN(m) { + const y = this.atn.modeToStartState[this.mode]; + It.debug && console.log("matchATN mode " + this.mode + " start: " + y); + const S = this.mode, F = this.computeStartState(m, y), z = F.hasSemanticContext; + F.hasSemanticContext = !1; + const J = this.addDFAState(F); + z || (this.decisionToDFA[this.mode].s0 = J); + const fe = this.execATN(m, J); + return It.debug && console.log("DFA after matchATN: " + this.decisionToDFA[S].toLexerString()), fe; + } + execATN(m, y) { + It.debug && console.log("start state closure=" + y.configs), y.isAcceptState && this.captureSimState(this.prevAccept, m, y); + let S = m.LA(1), F = y; + for (; ; ) { + It.debug && console.log("execATN loop starting closure: " + F.configs); + let z = this.getExistingTargetState(F, S); + if (z === null && (z = this.computeTargetState(m, F, S)), z === Ar.ERROR || (S !== t.EOF && this.consume(m), z.isAcceptState && (this.captureSimState(this.prevAccept, m, z), S === t.EOF))) break; + S = m.LA(1), F = z; + } + return this.failOrAccept(this.prevAccept, m, F.configs, S); + } + getExistingTargetState(m, y) { + if (m.edges === null || y < It.MIN_DFA_EDGE || y > It.MAX_DFA_EDGE) return null; + let S = m.edges[y - It.MIN_DFA_EDGE]; + return S === void 0 && (S = null), It.debug && S !== null && console.log("reuse state " + m.stateNumber + " edge to " + S.stateNumber), S; + } + computeTargetState(m, y, S) { + const F = new En(); + return this.getReachableConfigSet(m, y.configs, F, S), F.items.length === 0 ? (F.hasSemanticContext || this.addDFAEdge(y, S, Ar.ERROR), Ar.ERROR) : this.addDFAEdge(y, S, null, F); + } + failOrAccept(m, y, S, F) { + if (this.prevAccept.dfaState !== null) { + const z = m.dfaState.lexerActionExecutor; + return this.accept(y, z, this.startIndex, m.index, m.line, m.column), m.dfaState.prediction; + } + if (F === t.EOF && y.index === this.startIndex) return t.EOF; + throw new Dr(this.recog, y, this.startIndex, S); + } + getReachableConfigSet(m, y, S, F) { + let z = he.INVALID_ALT_NUMBER; + for (let J = 0; J < y.items.length; J++) { + const fe = y.items[J], _e = fe.alt === z; + if (!_e || !fe.passedThroughNonGreedyDecision) { + It.debug && console.log(`testing %s at %s +`, this.getTokenName(F), fe.toString(this.recog, !0)); + for (let Fe = 0; Fe < fe.state.transitions.length; Fe++) { + const $e = fe.state.transitions[Fe], je = this.getReachableTarget($e, F); + if (je !== null) { + let Je = fe.lexerActionExecutor; + Je !== null && (Je = Je.fixOffsetBeforeMatch(m.index - this.startIndex)); + const Ot = F === t.EOF, pt = new er({ state: je, lexerActionExecutor: Je }, fe); + this.closure(m, pt, S, _e, !0, Ot) && (z = fe.alt); + } + } + } + } + } + accept(m, y, S, F, z, J) { + It.debug && console.log(`ACTION %s +`, y), m.seek(F), this.line = z, this.column = J, y !== null && this.recog !== null && y.execute(this.recog, m, S); + } + getReachableTarget(m, y) { + return m.matches(y, 0, Zt.MAX_CHAR_VALUE) ? m.target : null; + } + computeStartState(m, y) { + const S = W.EMPTY, F = new En(); + for (let z = 0; z < y.transitions.length; z++) { + const J = y.transitions[z].target, fe = new er({ state: J, alt: z + 1, context: S }, null); + this.closure(m, fe, F, !1, !1, !1); + } + return F; + } + closure(m, y, S, F, z, J) { + let fe = null; + if (It.debug && console.log("closure(" + y.toString(this.recog, !0) + ")"), y.state instanceof E) { + if (It.debug && (this.recog !== null ? console.log(`closure at %s rule stop %s +`, this.recog.ruleNames[y.state.ruleIndex], y) : console.log(`closure at rule stop %s +`, y)), y.context === null || y.context.hasEmptyPath()) { + if (y.context === null || y.context.isEmpty()) return S.add(y), !0; + S.add(new er({ state: y.state, context: W.EMPTY }, y)), F = !0; + } + if (y.context !== null && !y.context.isEmpty()) { + for (let _e = 0; _e < y.context.length; _e++) if (y.context.getReturnState(_e) !== W.EMPTY_RETURN_STATE) { + const Fe = y.context.getParent(_e), $e = this.atn.states[y.context.getReturnState(_e)]; + fe = new er({ state: $e, context: Fe }, y), F = this.closure(m, fe, S, F, z, J); + } + } + return F; + } + y.state.epsilonOnlyTransitions || F && y.passedThroughNonGreedyDecision || S.add(y); + for (let _e = 0; _e < y.state.transitions.length; _e++) { + const Fe = y.state.transitions[_e]; + fe = this.getEpsilonTarget(m, y, Fe, S, z, J), fe !== null && (F = this.closure(m, fe, S, F, z, J)); + } + return F; + } + getEpsilonTarget(m, y, S, F, z, J) { + let fe = null; + if (S.serializationType === D.RULE) { + const _e = Z.create(y.context, S.followState.stateNumber); + fe = new er({ state: S.target, context: _e }, y); + } else { + if (S.serializationType === D.PRECEDENCE) throw "Precedence predicates are not supported in lexers."; + if (S.serializationType === D.PREDICATE) It.debug && console.log("EVAL rule " + S.ruleIndex + ":" + S.predIndex), F.hasSemanticContext = !0, this.evaluatePredicate(m, S.ruleIndex, S.predIndex, z) && (fe = new er({ state: S.target }, y)); + else if (S.serializationType === D.ACTION) if (y.context === null || y.context.hasEmptyPath()) { + const _e = Yr.append(y.lexerActionExecutor, this.atn.lexerActions[S.actionIndex]); + fe = new er({ state: S.target, lexerActionExecutor: _e }, y); + } else fe = new er({ state: S.target }, y); + else S.serializationType === D.EPSILON ? fe = new er({ state: S.target }, y) : S.serializationType !== D.ATOM && S.serializationType !== D.RANGE && S.serializationType !== D.SET || J && S.matches(t.EOF, 0, Zt.MAX_CHAR_VALUE) && (fe = new er({ state: S.target }, y)); + } + return fe; + } + evaluatePredicate(m, y, S, F) { + if (this.recog === null) return !0; + if (!F) return this.recog.sempred(null, y, S); + const z = this.column, J = this.line, fe = m.index, _e = m.mark(); + try { + return this.consume(m), this.recog.sempred(null, y, S); + } finally { + this.column = z, this.line = J, m.seek(fe), m.release(_e); + } + } + captureSimState(m, y, S) { + m.index = y.index, m.line = this.line, m.column = this.column, m.dfaState = S; + } + addDFAEdge(m, y, S, F) { + if (S === void 0 && (S = null), F === void 0 && (F = null), S === null && F !== null) { + const z = F.hasSemanticContext; + if (F.hasSemanticContext = !1, S = this.addDFAState(F), z) return S; + } + return y < It.MIN_DFA_EDGE || y > It.MAX_DFA_EDGE || (It.debug && console.log("EDGE " + m + " -> " + S + " upon " + y), m.edges === null && (m.edges = []), m.edges[y - It.MIN_DFA_EDGE] = S), S; + } + addDFAState(m) { + const y = new sr(null, m); + let S = null; + for (let fe = 0; fe < m.items.length; fe++) { + const _e = m.items[fe]; + if (_e.state instanceof E) { + S = _e; + break; + } + } + S !== null && (y.isAcceptState = !0, y.lexerActionExecutor = S.lexerActionExecutor, y.prediction = this.atn.ruleToTokenType[S.state.ruleIndex]); + const F = this.decisionToDFA[this.mode], z = F.states.get(y); + if (z !== null) return z; + const J = y; + return J.stateNumber = F.states.length, m.setReadonly(!0), J.configs = m, F.states.add(J), J; + } + getDFA(m) { + return this.decisionToDFA[m]; + } + getText(m) { + return m.getText(this.startIndex, m.index - 1); + } + consume(m) { + m.LA(1) === 10 ? (this.line += 1, this.column = 0) : this.column += 1, m.consume(); + } + getTokenName(m) { + return m === -1 ? "EOF" : "'" + String.fromCharCode(m) + "'"; + } + } + It.debug = !1, It.dfa_debug = !1, It.MIN_DFA_EDGE = 0, It.MAX_DFA_EDGE = 127; + class So { + constructor(m, y) { + this.alt = y, this.pred = m; + } + toString() { + return "(" + this.pred + ", " + this.alt + ")"; + } + } + class Sm { + constructor() { + this.data = {}; + } + get(m) { + return this.data["k-" + m] || null; + } + set(m, y) { + this.data["k-" + m] = y; + } + values() { + return Object.keys(this.data).filter((m) => m.startsWith("k-")).map((m) => this.data[m], this); + } + } + const Sn = { SLL: 0, LL: 1, LL_EXACT_AMBIG_DETECTION: 2, hasSLLConflictTerminatingPrediction: function(ae, m) { + if (Sn.allConfigsInRuleStopStates(m)) return !0; + if (ae === Sn.SLL && m.hasSemanticContext) { + const S = new Kt(); + for (let F = 0; F < m.items.length; F++) { + let z = m.items[F]; + z = new N({ semanticContext: c.NONE }, z), S.add(z); + } + m = S; + } + const y = Sn.getConflictingAltSubsets(m); + return Sn.hasConflictingAltSet(y) && !Sn.hasStateAssociatedWithOneAlt(m); + }, hasConfigInRuleStopState: function(ae) { + for (let m = 0; m < ae.items.length; m++) if (ae.items[m].state instanceof E) return !0; + return !1; + }, allConfigsInRuleStopStates: function(ae) { + for (let m = 0; m < ae.items.length; m++) if (!(ae.items[m].state instanceof E)) return !1; + return !0; + }, resolvesToJustOneViableAlt: function(ae) { + return Sn.getSingleViableAlt(ae); + }, allSubsetsConflict: function(ae) { + return !Sn.hasNonConflictingAltSet(ae); + }, hasNonConflictingAltSet: function(ae) { + for (let m = 0; m < ae.length; m++) if (ae[m].length === 1) return !0; + return !1; + }, hasConflictingAltSet: function(ae) { + for (let m = 0; m < ae.length; m++) if (ae[m].length > 1) return !0; + return !1; + }, allSubsetsEqual: function(ae) { + let m = null; + for (let y = 0; y < ae.length; y++) { + const S = ae[y]; + if (m === null) m = S; + else if (S !== m) return !1; + } + return !0; + }, getUniqueAlt: function(ae) { + const m = Sn.getAlts(ae); + return m.length === 1 ? m.minValue() : he.INVALID_ALT_NUMBER; + }, getAlts: function(ae) { + const m = new ue(); + return ae.map(function(y) { + m.or(y); + }), m; + }, getConflictingAltSubsets: function(ae) { + const m = new be(); + return m.hashFunction = function(y) { + a.hashStuff(y.state.stateNumber, y.context); + }, m.equalsFunction = function(y, S) { + return y.state.stateNumber === S.state.stateNumber && y.context.equals(S.context); + }, ae.items.map(function(y) { + let S = m.get(y); + S === null && (S = new ue(), m.set(y, S)), S.add(y.alt); + }), m.getValues(); + }, getStateToAltMap: function(ae) { + const m = new Sm(); + return ae.items.map(function(y) { + let S = m.get(y.state); + S === null && (S = new ue(), m.set(y.state, S)), S.add(y.alt); + }), m; + }, hasStateAssociatedWithOneAlt: function(ae) { + const m = Sn.getStateToAltMap(ae).values(); + for (let y = 0; y < m.length; y++) if (m[y].length === 1) return !0; + return !1; + }, getSingleViableAlt: function(ae) { + let m = null; + for (let y = 0; y < ae.length; y++) { + const S = ae[y].minValue(); + if (m === null) m = S; + else if (m !== S) return he.INVALID_ALT_NUMBER; + } + return m; + } }, tr = Sn; + class Pt extends Fr { + constructor(m, y, S, F, z, J) { + J = J || m._ctx, F = F || m.getCurrentToken(), S = S || m.getCurrentToken(), y = y || m.getInputStream(), super({ message: "", recognizer: m, input: y, ctx: J }), this.deadEndConfigs = z, this.startToken = S, this.offendingToken = F; + } + } + class Gr { + constructor(m) { + this.defaultMapCtor = m || be, this.cacheMap = new this.defaultMapCtor(); + } + get(m, y) { + const S = this.cacheMap.get(m) || null; + return S === null ? null : S.get(y) || null; + } + set(m, y, S) { + let F = this.cacheMap.get(m) || null; + F === null && (F = new this.defaultMapCtor(), this.cacheMap.set(m, F)), F.set(y, S); + } + } + class Co extends Ar { + constructor(m, y, S, F) { + super(y, F), this.parser = m, this.decisionToDFA = S, this.predictionMode = tr.LL, this._input = null, this._startIndex = 0, this._outerContext = null, this._dfa = null, this.mergeCache = null, this.debug = !1, this.debug_closure = !1, this.debug_add = !1, this.trace_atn_sim = !1, this.dfa_debug = !1, this.retry_debug = !1; + } + reset() { + } + adaptivePredict(m, y, S) { + (this.debug || this.trace_atn_sim) && console.log("adaptivePredict decision " + y + " exec LA(1)==" + this.getLookaheadName(m) + " line " + m.LT(1).line + ":" + m.LT(1).column), this._input = m, this._startIndex = m.index, this._outerContext = S; + const F = this.decisionToDFA[y]; + this._dfa = F; + const z = m.mark(), J = m.index; + try { + let fe; + if (fe = F.precedenceDfa ? F.getPrecedenceStartState(this.parser.getPrecedence()) : F.s0, fe === null) { + S === null && (S = P.EMPTY), this.debug && console.log("predictATN decision " + F.decision + " exec LA(1)==" + this.getLookaheadName(m) + ", outerContext=" + S.toString(this.parser.ruleNames)); + let $e = this.computeStartState(F.atnStartState, P.EMPTY, !1); + F.precedenceDfa ? (F.s0.configs = $e, $e = this.applyPrecedenceFilter($e), fe = this.addDFAState(F, new sr(null, $e)), F.setPrecedenceStartState(this.parser.getPrecedence(), fe)) : (fe = this.addDFAState(F, new sr(null, $e)), F.s0 = fe); + } + const _e = this.execATN(F, fe, m, J, S); + return this.debug && console.log("DFA after predictATN: " + F.toString(this.parser.literalNames, this.parser.symbolicNames)), _e; + } finally { + this._dfa = null, this.mergeCache = null, m.seek(J), m.release(z); + } + } + execATN(m, y, S, F, z) { + let J; + (this.debug || this.trace_atn_sim) && console.log("execATN decision " + m.decision + ", DFA state " + y + ", LA(1)==" + this.getLookaheadName(S) + " line " + S.LT(1).line + ":" + S.LT(1).column); + let fe = y; + this.debug && console.log("s0 = " + y); + let _e = S.LA(1); + for (; ; ) { + let Fe = this.getExistingTargetState(fe, _e); + if (Fe === null && (Fe = this.computeTargetState(m, fe, _e)), Fe === Ar.ERROR) { + const $e = this.noViableAlt(S, z, fe.configs, F); + if (S.seek(F), J = this.getSynValidOrSemInvalidAltThatFinishedDecisionEntryRule(fe.configs, z), J !== he.INVALID_ALT_NUMBER) return J; + throw $e; + } + if (Fe.requiresFullContext && this.predictionMode !== tr.SLL) { + let $e = null; + if (Fe.predicates !== null) { + this.debug && console.log("DFA state has preds in DFA sim LL failover"); + const Ot = S.index; + if (Ot !== F && S.seek(F), $e = this.evalSemanticContext(Fe.predicates, z, !0), $e.length === 1) return this.debug && console.log("Full LL avoided"), $e.minValue(); + Ot !== F && S.seek(Ot); + } + this.dfa_debug && console.log("ctx sensitive state " + z + " in " + Fe); + const je = !0, Je = this.computeStartState(m.atnStartState, z, je); + return this.reportAttemptingFullContext(m, $e, Fe.configs, F, S.index), J = this.execATNWithFullContext(m, Fe, Je, S, F, z), J; + } + if (Fe.isAcceptState) { + if (Fe.predicates === null) return Fe.prediction; + const $e = S.index; + S.seek(F); + const je = this.evalSemanticContext(Fe.predicates, z, !0); + if (je.length === 0) throw this.noViableAlt(S, z, Fe.configs, F); + return je.length === 1 || this.reportAmbiguity(m, Fe, F, $e, !1, je, Fe.configs), je.minValue(); + } + fe = Fe, _e !== t.EOF && (S.consume(), _e = S.LA(1)); + } + } + getExistingTargetState(m, y) { + const S = m.edges; + return S === null ? null : S[y + 1] || null; + } + computeTargetState(m, y, S) { + const F = this.computeReachSet(y.configs, S, !1); + if (F === null) return this.addDFAEdge(m, y, S, Ar.ERROR), Ar.ERROR; + let z = new sr(null, F); + const J = this.getUniqueAlt(F); + if (this.debug) { + const fe = tr.getConflictingAltSubsets(F); + console.log("SLL altSubSets=" + u(fe) + ", configs=" + F + ", predict=" + J + ", allSubsetsConflict=" + tr.allSubsetsConflict(fe) + ", conflictingAlts=" + this.getConflictingAlts(F)); + } + return J !== he.INVALID_ALT_NUMBER ? (z.isAcceptState = !0, z.configs.uniqueAlt = J, z.prediction = J) : tr.hasSLLConflictTerminatingPrediction(this.predictionMode, F) && (z.configs.conflictingAlts = this.getConflictingAlts(F), z.requiresFullContext = !0, z.isAcceptState = !0, z.prediction = z.configs.conflictingAlts.minValue()), z.isAcceptState && z.configs.hasSemanticContext && (this.predicateDFAState(z, this.atn.getDecisionState(m.decision)), z.predicates !== null && (z.prediction = he.INVALID_ALT_NUMBER)), z = this.addDFAEdge(m, y, S, z), z; + } + predicateDFAState(m, y) { + const S = y.transitions.length, F = this.getConflictingAltsOrUniqueAlt(m.configs), z = this.getPredsForAmbigAlts(F, m.configs, S); + z !== null ? (m.predicates = this.getPredicatePredictions(F, z), m.prediction = he.INVALID_ALT_NUMBER) : m.prediction = F.minValue(); + } + execATNWithFullContext(m, y, S, F, z, J) { + (this.debug || this.trace_atn_sim) && console.log("execATNWithFullContext " + S); + let fe, _e = !1, Fe = S; + F.seek(z); + let $e = F.LA(1), je = -1; + for (; ; ) { + if (fe = this.computeReachSet(Fe, $e, !0), fe === null) { + const Ot = this.noViableAlt(F, J, Fe, z); + F.seek(z); + const pt = this.getSynValidOrSemInvalidAltThatFinishedDecisionEntryRule(Fe, J); + if (pt !== he.INVALID_ALT_NUMBER) return pt; + throw Ot; + } + const Je = tr.getConflictingAltSubsets(fe); + if (this.debug && console.log("LL altSubSets=" + Je + ", predict=" + tr.getUniqueAlt(Je) + ", resolvesToJustOneViableAlt=" + tr.resolvesToJustOneViableAlt(Je)), fe.uniqueAlt = this.getUniqueAlt(fe), fe.uniqueAlt !== he.INVALID_ALT_NUMBER) { + je = fe.uniqueAlt; + break; + } + if (this.predictionMode !== tr.LL_EXACT_AMBIG_DETECTION) { + if (je = tr.resolvesToJustOneViableAlt(Je), je !== he.INVALID_ALT_NUMBER) break; + } else if (tr.allSubsetsConflict(Je) && tr.allSubsetsEqual(Je)) { + _e = !0, je = tr.getSingleViableAlt(Je); + break; + } + Fe = fe, $e !== t.EOF && (F.consume(), $e = F.LA(1)); + } + return fe.uniqueAlt !== he.INVALID_ALT_NUMBER ? (this.reportContextSensitivity(m, je, fe, z, F.index), je) : (this.reportAmbiguity(m, y, z, F.index, _e, null, fe), je); + } + computeReachSet(m, y, S) { + this.debug && console.log("in computeReachSet, starting closure: " + m), this.mergeCache === null && (this.mergeCache = new Gr()); + const F = new Kt(S); + let z = null; + for (let fe = 0; fe < m.items.length; fe++) { + const _e = m.items[fe]; + if (this.debug && console.log("testing " + this.getTokenName(y) + " at " + _e), _e.state instanceof E) (S || y === t.EOF) && (z === null && (z = []), z.push(_e), this.debug_add && console.log("added " + _e + " to skippedStopStates")); + else for (let Fe = 0; Fe < _e.state.transitions.length; Fe++) { + const $e = _e.state.transitions[Fe], je = this.getReachableTarget($e, y); + if (je !== null) { + const Je = new N({ state: je }, _e); + F.add(Je, this.mergeCache), this.debug_add && console.log("added " + Je + " to intermediate"); + } + } + } + let J = null; + if (z === null && y !== t.EOF && (F.items.length === 1 || this.getUniqueAlt(F) !== he.INVALID_ALT_NUMBER) && (J = F), J === null) { + J = new Kt(S); + const fe = new l(), _e = y === t.EOF; + for (let Fe = 0; Fe < F.items.length; Fe++) this.closure(F.items[Fe], J, fe, !1, S, _e); + } + if (y === t.EOF && (J = this.removeAllConfigsNotInRuleStopState(J, J === F)), !(z === null || S && tr.hasConfigInRuleStopState(J))) for (let fe = 0; fe < z.length; fe++) J.add(z[fe], this.mergeCache); + return this.trace_atn_sim && console.log("computeReachSet " + m + " -> " + J), J.items.length === 0 ? null : J; + } + removeAllConfigsNotInRuleStopState(m, y) { + if (tr.allConfigsInRuleStopStates(m)) return m; + const S = new Kt(m.fullCtx); + for (let F = 0; F < m.items.length; F++) { + const z = m.items[F]; + if (z.state instanceof E) S.add(z, this.mergeCache); + else if (y && z.state.epsilonOnlyTransitions && this.atn.nextTokens(z.state).contains(t.EPSILON)) { + const J = this.atn.ruleToStopState[z.state.ruleIndex]; + S.add(new N({ state: J }, z), this.mergeCache); + } + } + return S; + } + computeStartState(m, y, S) { + const F = K(this.atn, y), z = new Kt(S); + this.trace_atn_sim && console.log("computeStartState from ATN state " + m + " initialContext=" + F.toString(this.parser)); + for (let J = 0; J < m.transitions.length; J++) { + const fe = m.transitions[J].target, _e = new N({ state: fe, alt: J + 1, context: F }, null), Fe = new l(); + this.closure(_e, z, Fe, !0, S, !1); + } + return z; + } + applyPrecedenceFilter(m) { + let y; + const S = [], F = new Kt(m.fullCtx); + for (let z = 0; z < m.items.length; z++) { + if (y = m.items[z], y.alt !== 1) continue; + const J = y.semanticContext.evalPrecedence(this.parser, this._outerContext); + J !== null && (S[y.state.stateNumber] = y.context, J !== y.semanticContext ? F.add(new N({ semanticContext: J }, y), this.mergeCache) : F.add(y, this.mergeCache)); + } + for (let z = 0; z < m.items.length; z++) if (y = m.items[z], y.alt !== 1) { + if (!y.precedenceFilterSuppressed) { + const J = S[y.state.stateNumber] || null; + if (J !== null && J.equals(y.context)) continue; + } + F.add(y, this.mergeCache); + } + return F; + } + getReachableTarget(m, y) { + return m.matches(y, 0, this.atn.maxTokenType) ? m.target : null; + } + getPredsForAmbigAlts(m, y, S) { + let F = []; + for (let J = 0; J < y.items.length; J++) { + const fe = y.items[J]; + m.has(fe.alt) && (F[fe.alt] = c.orContext(F[fe.alt] || null, fe.semanticContext)); + } + let z = 0; + for (let J = 1; J < S + 1; J++) { + const fe = F[J] || null; + fe === null ? F[J] = c.NONE : fe !== c.NONE && (z += 1); + } + return z === 0 && (F = null), this.debug && console.log("getPredsForAmbigAlts result " + u(F)), F; + } + getPredicatePredictions(m, y) { + const S = []; + let F = !1; + for (let z = 1; z < y.length; z++) { + const J = y[z]; + m !== null && m.has(z) && S.push(new So(J, z)), J !== c.NONE && (F = !0); + } + return F ? S : null; + } + getSynValidOrSemInvalidAltThatFinishedDecisionEntryRule(m, y) { + const S = this.splitAccordingToSemanticValidity(m, y), F = S[0], z = S[1]; + let J = this.getAltThatFinishedDecisionEntryRule(F); + return J !== he.INVALID_ALT_NUMBER || z.items.length > 0 && (J = this.getAltThatFinishedDecisionEntryRule(z), J !== he.INVALID_ALT_NUMBER) ? J : he.INVALID_ALT_NUMBER; + } + getAltThatFinishedDecisionEntryRule(m) { + const y = []; + for (let S = 0; S < m.items.length; S++) { + const F = m.items[S]; + (F.reachesIntoOuterContext > 0 || F.state instanceof E && F.context.hasEmptyPath()) && y.indexOf(F.alt) < 0 && y.push(F.alt); + } + return y.length === 0 ? he.INVALID_ALT_NUMBER : Math.min.apply(null, y); + } + splitAccordingToSemanticValidity(m, y) { + const S = new Kt(m.fullCtx), F = new Kt(m.fullCtx); + for (let z = 0; z < m.items.length; z++) { + const J = m.items[z]; + J.semanticContext !== c.NONE ? J.semanticContext.evaluate(this.parser, y) ? S.add(J) : F.add(J) : S.add(J); + } + return [S, F]; + } + evalSemanticContext(m, y, S) { + const F = new ue(); + for (let z = 0; z < m.length; z++) { + const J = m[z]; + if (J.pred === c.NONE) { + if (F.add(J.alt), !S) break; + continue; + } + const fe = J.pred.evaluate(this.parser, y); + if ((this.debug || this.dfa_debug) && console.log("eval pred " + J + "=" + fe), fe && ((this.debug || this.dfa_debug) && console.log("PREDICT " + J.alt), F.add(J.alt), !S)) break; + } + return F; + } + closure(m, y, S, F, z, J) { + this.closureCheckingStopState(m, y, S, F, z, 0, J); + } + closureCheckingStopState(m, y, S, F, z, J, fe) { + if ((this.trace_atn_sim || this.debug_closure) && console.log("closure(" + m.toString(this.parser, !0) + ")"), m.state instanceof E) { + if (!m.context.isEmpty()) { + for (let _e = 0; _e < m.context.length; _e++) { + if (m.context.getReturnState(_e) === W.EMPTY_RETURN_STATE) { + if (z) { + y.add(new N({ state: m.state, context: W.EMPTY }, m), this.mergeCache); + continue; + } + this.debug && console.log("FALLING off rule " + this.getRuleName(m.state.ruleIndex)), this.closure_(m, y, S, F, z, J, fe); + continue; + } + const Fe = this.atn.states[m.context.getReturnState(_e)], $e = m.context.getParent(_e), je = { state: Fe, alt: m.alt, context: $e, semanticContext: m.semanticContext }, Je = new N(je, null); + Je.reachesIntoOuterContext = m.reachesIntoOuterContext, this.closureCheckingStopState(Je, y, S, F, z, J - 1, fe); + } + return; + } + if (z) return void y.add(m, this.mergeCache); + this.debug && console.log("FALLING off rule " + this.getRuleName(m.state.ruleIndex)); + } + this.closure_(m, y, S, F, z, J, fe); + } + closure_(m, y, S, F, z, J, fe) { + const _e = m.state; + _e.epsilonOnlyTransitions || y.add(m, this.mergeCache); + for (let Fe = 0; Fe < _e.transitions.length; Fe++) { + if (Fe === 0 && this.canDropLoopEntryEdgeInLeftRecursiveRule(m)) continue; + const $e = _e.transitions[Fe], je = F && !($e instanceof Ce), Je = this.getEpsilonTarget(m, $e, je, J === 0, z, fe); + if (Je !== null) { + let Ot = J; + if (m.state instanceof E) { + if (this._dfa !== null && this._dfa.precedenceDfa && $e.outermostPrecedenceReturn === this._dfa.atnStartState.ruleIndex && (Je.precedenceFilterSuppressed = !0), Je.reachesIntoOuterContext += 1, S.add(Je) !== Je) continue; + y.dipsIntoOuterContext = !0, Ot -= 1, this.debug && console.log("dips into outer ctx: " + Je); + } else { + if (!$e.isEpsilon && S.add(Je) !== Je) continue; + $e instanceof A && Ot >= 0 && (Ot += 1); + } + this.closureCheckingStopState(Je, y, S, je, z, Ot, fe); + } + } + } + canDropLoopEntryEdgeInLeftRecursiveRule(m) { + const y = m.state; + if (y.stateType !== x.STAR_LOOP_ENTRY || y.stateType !== x.STAR_LOOP_ENTRY || !y.isPrecedenceDecision || m.context.isEmpty() || m.context.hasEmptyPath()) return !1; + const S = m.context.length; + for (let J = 0; J < S; J++) if (this.atn.states[m.context.getReturnState(J)].ruleIndex !== y.ruleIndex) return !1; + const F = y.transitions[0].target.endState.stateNumber, z = this.atn.states[F]; + for (let J = 0; J < S; J++) { + const fe = m.context.getReturnState(J), _e = this.atn.states[fe]; + if (_e.transitions.length !== 1 || !_e.transitions[0].isEpsilon) return !1; + const Fe = _e.transitions[0].target; + if (!(_e.stateType === x.BLOCK_END && Fe === y || _e === z || Fe === z || Fe.stateType === x.BLOCK_END && Fe.transitions.length === 1 && Fe.transitions[0].isEpsilon && Fe.transitions[0].target === y)) return !1; + } + return !0; + } + getRuleName(m) { + return this.parser !== null && m >= 0 ? this.parser.ruleNames[m] : ""; + } + getEpsilonTarget(m, y, S, F, z, J) { + switch (y.serializationType) { + case D.RULE: + return this.ruleTransition(m, y); + case D.PRECEDENCE: + return this.precedenceTransition(m, y, S, F, z); + case D.PREDICATE: + return this.predTransition(m, y, S, F, z); + case D.ACTION: + return this.actionTransition(m, y); + case D.EPSILON: + return new N({ state: y.target }, m); + case D.ATOM: + case D.RANGE: + case D.SET: + return J && y.matches(t.EOF, 0, 1) ? new N({ state: y.target }, m) : null; + default: + return null; + } + } + actionTransition(m, y) { + if (this.debug) { + const S = y.actionIndex === -1 ? 65535 : y.actionIndex; + console.log("ACTION edge " + y.ruleIndex + ":" + S); + } + return new N({ state: y.target }, m); + } + precedenceTransition(m, y, S, F, z) { + this.debug && (console.log("PRED (collectPredicates=" + S + ") " + y.precedence + ">=_p, ctx dependent=true"), this.parser !== null && console.log("context surrounding pred is " + u(this.parser.getRuleInvocationStack()))); + let J = null; + if (S && F) if (z) { + const fe = this._input.index; + this._input.seek(this._startIndex); + const _e = y.getPredicate().evaluate(this.parser, this._outerContext); + this._input.seek(fe), _e && (J = new N({ state: y.target }, m)); + } else { + const fe = c.andContext(m.semanticContext, y.getPredicate()); + J = new N({ state: y.target, semanticContext: fe }, m); + } + else J = new N({ state: y.target }, m); + return this.debug && console.log("config from pred transition=" + J), J; + } + predTransition(m, y, S, F, z) { + this.debug && (console.log("PRED (collectPredicates=" + S + ") " + y.ruleIndex + ":" + y.predIndex + ", ctx dependent=" + y.isCtxDependent), this.parser !== null && console.log("context surrounding pred is " + u(this.parser.getRuleInvocationStack()))); + let J = null; + if (S && (y.isCtxDependent && F || !y.isCtxDependent)) if (z) { + const fe = this._input.index; + this._input.seek(this._startIndex); + const _e = y.getPredicate().evaluate(this.parser, this._outerContext); + this._input.seek(fe), _e && (J = new N({ state: y.target }, m)); + } else { + const fe = c.andContext(m.semanticContext, y.getPredicate()); + J = new N({ state: y.target, semanticContext: fe }, m); + } + else J = new N({ state: y.target }, m); + return this.debug && console.log("config from pred transition=" + J), J; + } + ruleTransition(m, y) { + this.debug && console.log("CALL rule " + this.getRuleName(y.target.ruleIndex) + ", ctx=" + m.context); + const S = y.followState, F = Z.create(m.context, S.stateNumber); + return new N({ state: y.target, context: F }, m); + } + getConflictingAlts(m) { + const y = tr.getConflictingAltSubsets(m); + return tr.getAlts(y); + } + getConflictingAltsOrUniqueAlt(m) { + let y = null; + return m.uniqueAlt !== he.INVALID_ALT_NUMBER ? (y = new ue(), y.add(m.uniqueAlt)) : y = m.conflictingAlts, y; + } + getTokenName(m) { + if (m === t.EOF) return "EOF"; + if (this.parser !== null && this.parser.literalNames !== null) { + if (!(m >= this.parser.literalNames.length && m >= this.parser.symbolicNames.length)) return (this.parser.literalNames[m] || this.parser.symbolicNames[m]) + "<" + m + ">"; + console.log(m + " ttype out of range: " + this.parser.literalNames), console.log("" + this.parser.getInputStream().getTokens()); + } + return "" + m; + } + getLookaheadName(m) { + return this.getTokenName(m.LA(1)); + } + dumpDeadEndConfigs(m) { + console.log("dead end configs: "); + const y = m.getDeadEndConfigs(); + for (let S = 0; S < y.length; S++) { + const F = y[S]; + let z = "no edges"; + if (F.state.transitions.length > 0) { + const J = F.state.transitions[0]; + J instanceof ye ? z = "Atom " + this.getTokenName(J.label) : J instanceof M && (z = (J instanceof _ ? "~" : "") + "Set " + J.set); + } + console.error(F.toString(this.parser, !0) + ":" + z); + } + } + noViableAlt(m, y, S, F) { + return new Pt(this.parser, m, m.get(F), m.LT(1), S, y); + } + getUniqueAlt(m) { + let y = he.INVALID_ALT_NUMBER; + for (let S = 0; S < m.items.length; S++) { + const F = m.items[S]; + if (y === he.INVALID_ALT_NUMBER) y = F.alt; + else if (F.alt !== y) return he.INVALID_ALT_NUMBER; + } + return y; + } + addDFAEdge(m, y, S, F) { + if (this.debug && console.log("EDGE " + y + " -> " + F + " upon " + this.getTokenName(S)), F === null) return null; + if (F = this.addDFAState(m, F), y === null || S < -1 || S > this.atn.maxTokenType) return F; + if (y.edges === null && (y.edges = []), y.edges[S + 1] = F, this.debug) { + const z = this.parser === null ? null : this.parser.literalNames, J = this.parser === null ? null : this.parser.symbolicNames; + console.log(`DFA= +` + m.toString(z, J)); + } + return F; + } + addDFAState(m, y) { + if (y === Ar.ERROR) return y; + const S = m.states.get(y); + return S !== null ? (this.trace_atn_sim && console.log("addDFAState " + y + " exists"), S) : (y.stateNumber = m.states.length, y.configs.readOnly || (y.configs.optimizeConfigs(this), y.configs.setReadonly(!0)), this.trace_atn_sim && console.log("addDFAState new " + y), m.states.add(y), this.debug && console.log("adding new DFA state: " + y), y); + } + reportAttemptingFullContext(m, y, S, F, z) { + if (this.debug || this.retry_debug) { + const J = new b(F, z + 1); + console.log("reportAttemptingFullContext decision=" + m.decision + ":" + S + ", input=" + this.parser.getTokenStream().getText(J)); + } + this.parser !== null && this.parser.getErrorListenerDispatch().reportAttemptingFullContext(this.parser, m, F, z, y, S); + } + reportContextSensitivity(m, y, S, F, z) { + if (this.debug || this.retry_debug) { + const J = new b(F, z + 1); + console.log("reportContextSensitivity decision=" + m.decision + ":" + S + ", input=" + this.parser.getTokenStream().getText(J)); + } + this.parser !== null && this.parser.getErrorListenerDispatch().reportContextSensitivity(this.parser, m, F, z, y, S); + } + reportAmbiguity(m, y, S, F, z, J, fe) { + if (this.debug || this.retry_debug) { + const _e = new b(S, F + 1); + console.log("reportAmbiguity " + J + ":" + fe + ", input=" + this.parser.getTokenStream().getText(_e)); + } + this.parser !== null && this.parser.getErrorListenerDispatch().reportAmbiguity(this.parser, m, S, F, z, J, fe); + } + } + class Xi { + constructor() { + this.cache = new be(); + } + add(m) { + if (m === W.EMPTY) return W.EMPTY; + const y = this.cache.get(m) || null; + return y !== null ? y : (this.cache.set(m, m), m); + } + get(m) { + return this.cache.get(m) || null; + } + get length() { + return this.cache.length; + } + } + const Ki = { ATN: he, ATNDeserializer: ft, LexerATNSimulator: It, ParserATNSimulator: Co, PredictionMode: tr, PredictionContextCache: Xi }; + class ws { + constructor(m, y, S) { + this.dfa = m, this.literalNames = y || [], this.symbolicNames = S || []; + } + toString() { + if (this.dfa.s0 === null) return null; + let m = ""; + const y = this.dfa.sortedStates(); + for (let S = 0; S < y.length; S++) { + const F = y[S]; + if (F.edges !== null) { + const z = F.edges.length; + for (let J = 0; J < z; J++) { + const fe = F.edges[J] || null; + fe !== null && fe.stateNumber !== 2147483647 && (m = m.concat(this.getStateString(F)), m = m.concat("-"), m = m.concat(this.getEdgeLabel(J)), m = m.concat("->"), m = m.concat(this.getStateString(fe)), m = m.concat(` +`)); + } + } + } + return m.length === 0 ? null : m; + } + getEdgeLabel(m) { + return m === 0 ? "EOF" : this.literalNames !== null || this.symbolicNames !== null ? this.literalNames[m - 1] || this.symbolicNames[m - 1] : String.fromCharCode(m - 1); + } + getStateString(m) { + const y = (m.isAcceptState ? ":" : "") + "s" + m.stateNumber + (m.requiresFullContext ? "^" : ""); + return m.isAcceptState ? m.predicates !== null ? y + "=>" + u(m.predicates) : y + "=>" + m.prediction.toString() : y; + } + } + class Cg extends ws { + constructor(m) { + super(m, null); + } + getEdgeLabel(m) { + return "'" + String.fromCharCode(m) + "'"; + } + } + class Tg { + constructor(m, y) { + if (y === void 0 && (y = 0), this.atnStartState = m, this.decision = y, this._states = new l(), this.s0 = null, this.precedenceDfa = !1, m instanceof Ae && m.isPrecedenceDecision) { + this.precedenceDfa = !0; + const S = new sr(null, new Kt()); + S.edges = [], S.isAcceptState = !1, S.requiresFullContext = !1, this.s0 = S; + } + } + getPrecedenceStartState(m) { + if (!this.precedenceDfa) throw "Only precedence DFAs may contain a precedence start state."; + return m < 0 || m >= this.s0.edges.length ? null : this.s0.edges[m] || null; + } + setPrecedenceStartState(m, y) { + if (!this.precedenceDfa) throw "Only precedence DFAs may contain a precedence start state."; + m < 0 || (this.s0.edges[m] = y); + } + setPrecedenceDfa(m) { + if (this.precedenceDfa !== m) { + if (this._states = new l(), m) { + const y = new sr(null, new Kt()); + y.edges = [], y.isAcceptState = !1, y.requiresFullContext = !1, this.s0 = y; + } else this.s0 = null; + this.precedenceDfa = m; + } + } + sortedStates() { + return this._states.values().sort(function(m, y) { + return m.stateNumber - y.stateNumber; + }); + } + toString(m, y) { + return m = m || null, y = y || null, this.s0 === null ? "" : new ws(this, m, y).toString(); + } + toLexerString() { + return this.s0 === null ? "" : new Cg(this).toString(); + } + get states() { + return this._states; + } + } + const MS = { DFA: Tg, DFASerializer: ws, LexerDFASerializer: Cg, PredPrediction: So }, OS = { PredictionContext: W }, FS = { Interval: b, IntervalSet: C }; + class Cm { + visitTerminal(m) { + } + visitErrorNode(m) { + } + enterEveryRule(m) { + } + exitEveryRule(m) { + } + } + class _g { + visit(m) { + return Array.isArray(m) ? m.map(function(y) { + return y.accept(this); + }, this) : m.accept(this); + } + visitChildren(m) { + return m.children ? this.visit(m.children) : null; + } + visitTerminal(m) { + } + visitErrorNode(m) { + } + } + class To { + walk(m, y) { + if (y instanceof L || y.isErrorNode !== void 0 && y.isErrorNode()) m.visitErrorNode(y); + else if (y instanceof k) m.visitTerminal(y); + else { + this.enterRule(m, y); + for (let S = 0; S < y.getChildCount(); S++) { + const F = y.getChild(S); + this.walk(m, F); + } + this.exitRule(m, y); + } + } + enterRule(m, y) { + const S = y.ruleContext; + m.enterEveryRule(S), S.enterRule(m); + } + exitRule(m, y) { + const S = y.ruleContext; + S.exitRule(m), m.exitEveryRule(S); + } + } + To.DEFAULT = new To(); + const qS = { Trees: G, RuleNode: U, ErrorNode: L, TerminalNode: k, ParseTreeListener: Cm, ParseTreeVisitor: _g, ParseTreeWalker: To }; + class Ns extends Fr { + constructor(m) { + super({ message: "", recognizer: m, input: m.getInputStream(), ctx: m._ctx }), this.offendingToken = m.getCurrentToken(); + } + } + class Tm extends Fr { + constructor(m, y, S) { + super({ message: IS(y, S || null), recognizer: m, input: m.getInputStream(), ctx: m._ctx }); + const F = m._interp.atn.states[m.state].transitions[0]; + F instanceof Be ? (this.ruleIndex = F.ruleIndex, this.predicateIndex = F.predIndex) : (this.ruleIndex = 0, this.predicateIndex = 0), this.predicate = y, this.offendingToken = m.getCurrentToken(); + } + } + function IS(ae, m) { + return m !== null ? m : "failed predicate: {" + ae + "}?"; + } + class Mg extends lt { + constructor(m) { + super(), m = m || !0, this.exactOnly = m; + } + reportAmbiguity(m, y, S, F, z, J, fe) { + if (this.exactOnly && !z) return; + const _e = "reportAmbiguity d=" + this.getDecisionDescription(m, y) + ": ambigAlts=" + this.getConflictingAlts(J, fe) + ", input='" + m.getTokenStream().getText(new b(S, F)) + "'"; + m.notifyErrorListeners(_e); + } + reportAttemptingFullContext(m, y, S, F, z, J) { + const fe = "reportAttemptingFullContext d=" + this.getDecisionDescription(m, y) + ", input='" + m.getTokenStream().getText(new b(S, F)) + "'"; + m.notifyErrorListeners(fe); + } + reportContextSensitivity(m, y, S, F, z, J) { + const fe = "reportContextSensitivity d=" + this.getDecisionDescription(m, y) + ", input='" + m.getTokenStream().getText(new b(S, F)) + "'"; + m.notifyErrorListeners(fe); + } + getDecisionDescription(m, y) { + const S = y.decision, F = y.atnStartState.ruleIndex, z = m.ruleNames; + if (F < 0 || F >= z.length) return "" + S; + const J = z[F] || null; + return J === null || J.length === 0 ? "" + S : `${S} (${J})`; + } + getConflictingAlts(m, y) { + if (m !== null) return m; + const S = new ue(); + for (let F = 0; F < y.items.length; F++) S.add(y.items[F].alt); + return `{${S.values().join(", ")}}`; + } + } + class _m extends Error { + constructor() { + super(), Error.captureStackTrace(this, _m); + } + } + class BS { + reset(m) { + } + recoverInline(m) { + } + recover(m, y) { + } + sync(m) { + } + inErrorRecoveryMode(m) { + } + reportError(m) { + } + } + class Mm extends BS { + constructor() { + super(), this.errorRecoveryMode = !1, this.lastErrorIndex = -1, this.lastErrorStates = null, this.nextTokensContext = null, this.nextTokenState = 0; + } + reset(m) { + this.endErrorCondition(m); + } + beginErrorCondition(m) { + this.errorRecoveryMode = !0; + } + inErrorRecoveryMode(m) { + return this.errorRecoveryMode; + } + endErrorCondition(m) { + this.errorRecoveryMode = !1, this.lastErrorStates = null, this.lastErrorIndex = -1; + } + reportMatch(m) { + this.endErrorCondition(m); + } + reportError(m, y) { + this.inErrorRecoveryMode(m) || (this.beginErrorCondition(m), y instanceof Pt ? this.reportNoViableAlternative(m, y) : y instanceof Ns ? this.reportInputMismatch(m, y) : y instanceof Tm ? this.reportFailedPredicate(m, y) : (console.log("unknown recognition error type: " + y.constructor.name), console.log(y.stack), m.notifyErrorListeners(y.getOffendingToken(), y.getMessage(), y))); + } + recover(m, y) { + this.lastErrorIndex === m.getInputStream().index && this.lastErrorStates !== null && this.lastErrorStates.indexOf(m.state) >= 0 && m.consume(), this.lastErrorIndex = m._input.index, this.lastErrorStates === null && (this.lastErrorStates = []), this.lastErrorStates.push(m.state); + const S = this.getErrorRecoverySet(m); + this.consumeUntil(m, S); + } + sync(m) { + if (this.inErrorRecoveryMode(m)) return; + const y = m._interp.atn.states[m.state], S = m.getTokenStream().LA(1), F = m.atn.nextTokens(y); + if (F.contains(S)) return this.nextTokensContext = null, void (this.nextTokenState = x.INVALID_STATE_NUMBER); + if (F.contains(t.EPSILON)) this.nextTokensContext === null && (this.nextTokensContext = m._ctx, this.nextTokensState = m._stateNumber); + else switch (y.stateType) { + case x.BLOCK_START: + case x.STAR_BLOCK_START: + case x.PLUS_BLOCK_START: + case x.STAR_LOOP_ENTRY: + if (this.singleTokenDeletion(m) !== null) return; + throw new Ns(m); + case x.PLUS_LOOP_BACK: + case x.STAR_LOOP_BACK: { + this.reportUnwantedToken(m); + const z = new C(); + z.addSet(m.getExpectedTokens()); + const J = z.addSet(this.getErrorRecoverySet(m)); + this.consumeUntil(m, J); + } + } + } + reportNoViableAlternative(m, y) { + const S = m.getTokenStream(); + let F; + F = S !== null ? y.startToken.type === t.EOF ? "" : S.getText(new b(y.startToken.tokenIndex, y.offendingToken.tokenIndex)) : ""; + const z = "no viable alternative at input " + this.escapeWSAndQuote(F); + m.notifyErrorListeners(z, y.offendingToken, y); + } + reportInputMismatch(m, y) { + const S = "mismatched input " + this.getTokenErrorDisplay(y.offendingToken) + " expecting " + y.getExpectedTokens().toString(m.literalNames, m.symbolicNames); + m.notifyErrorListeners(S, y.offendingToken, y); + } + reportFailedPredicate(m, y) { + const S = "rule " + m.ruleNames[m._ctx.ruleIndex] + " " + y.message; + m.notifyErrorListeners(S, y.offendingToken, y); + } + reportUnwantedToken(m) { + if (this.inErrorRecoveryMode(m)) return; + this.beginErrorCondition(m); + const y = m.getCurrentToken(), S = "extraneous input " + this.getTokenErrorDisplay(y) + " expecting " + this.getExpectedTokens(m).toString(m.literalNames, m.symbolicNames); + m.notifyErrorListeners(S, y, null); + } + reportMissingToken(m) { + if (this.inErrorRecoveryMode(m)) return; + this.beginErrorCondition(m); + const y = m.getCurrentToken(), S = "missing " + this.getExpectedTokens(m).toString(m.literalNames, m.symbolicNames) + " at " + this.getTokenErrorDisplay(y); + m.notifyErrorListeners(S, y, null); + } + recoverInline(m) { + const y = this.singleTokenDeletion(m); + if (y !== null) return m.consume(), y; + if (this.singleTokenInsertion(m)) return this.getMissingSymbol(m); + throw new Ns(m); + } + singleTokenInsertion(m) { + const y = m.getTokenStream().LA(1), S = m._interp.atn, F = S.states[m.state].transitions[0].target; + return !!S.nextTokens(F, m._ctx).contains(y) && (this.reportMissingToken(m), !0); + } + singleTokenDeletion(m) { + const y = m.getTokenStream().LA(2); + if (this.getExpectedTokens(m).contains(y)) { + this.reportUnwantedToken(m), m.consume(); + const S = m.getCurrentToken(); + return this.reportMatch(m), S; + } + return null; + } + getMissingSymbol(m) { + const y = m.getCurrentToken(), S = this.getExpectedTokens(m).first(); + let F; + F = S === t.EOF ? "" : ""; + let z = y; + const J = m.getTokenStream().LT(-1); + return z.type === t.EOF && J !== null && (z = J), m.getTokenFactory().create(z.source, S, F, t.DEFAULT_CHANNEL, -1, -1, z.line, z.column); + } + getExpectedTokens(m) { + return m.getExpectedTokens(); + } + getTokenErrorDisplay(m) { + if (m === null) return ""; + let y = m.text; + return y === null && (y = m.type === t.EOF ? "" : "<" + m.type + ">"), this.escapeWSAndQuote(y); + } + escapeWSAndQuote(m) { + return "'" + (m = (m = (m = m.replace(/\n/g, "\\n")).replace(/\r/g, "\\r")).replace(/\t/g, "\\t")) + "'"; + } + getErrorRecoverySet(m) { + const y = m._interp.atn; + let S = m._ctx; + const F = new C(); + for (; S !== null && S.invokingState >= 0; ) { + const z = y.states[S.invokingState].transitions[0], J = y.nextTokens(z.followState); + F.addSet(J), S = S.parentCtx; + } + return F.removeOne(t.EPSILON), F; + } + consumeUntil(m, y) { + let S = m.getTokenStream().LA(1); + for (; S !== t.EOF && !y.contains(S); ) m.consume(), S = m.getTokenStream().LA(1); + } + } + class Og extends Mm { + constructor() { + super(); + } + recover(m, y) { + let S = m._ctx; + for (; S !== null; ) S.exception = y, S = S.parentCtx; + throw new _m(y); + } + recoverInline(m) { + this.recover(m, new Ns(m)); + } + sync(m) { + } + } + const RS = { RecognitionException: Fr, NoViableAltException: Pt, LexerNoViableAltException: Dr, InputMismatchException: Ns, FailedPredicateException: Tm, DiagnosticErrorListener: Mg, BailErrorStrategy: Og, DefaultErrorStrategy: Mm, ErrorListener: lt }; + class Ds { + constructor(m, y) { + if (this.name = "", this.strdata = m, this.decodeToUnicodeCodePoints = y || !1, this._index = 0, this.data = [], this.decodeToUnicodeCodePoints) for (let S = 0; S < this.strdata.length; ) { + const F = this.strdata.codePointAt(S); + this.data.push(F), S += F <= 65535 ? 1 : 2; + } + else { + this.data = new Array(this.strdata.length); + for (let S = 0; S < this.strdata.length; S++) this.data[S] = this.strdata.charCodeAt(S); + } + this._size = this.data.length; + } + reset() { + this._index = 0; + } + consume() { + if (this._index >= this._size) throw "cannot consume EOF"; + this._index += 1; + } + LA(m) { + if (m === 0) return 0; + m < 0 && (m += 1); + const y = this._index + m - 1; + return y < 0 || y >= this._size ? t.EOF : this.data[y]; + } + LT(m) { + return this.LA(m); + } + mark() { + return -1; + } + release(m) { + } + seek(m) { + m <= this._index ? this._index = m : this._index = Math.min(m, this._size); + } + getText(m, y) { + if (y >= this._size && (y = this._size - 1), m >= this._size) return ""; + if (this.decodeToUnicodeCodePoints) { + let S = ""; + for (let F = m; F <= y; F++) S += String.fromCodePoint(this.data[F]); + return S; + } + return this.strdata.slice(m, y + 1); + } + toString() { + return this.strdata; + } + get index() { + return this._index; + } + get size() { + return this._size; + } + } + class As extends Ds { + constructor(m, y) { + super(m, y); + } + } + var Fg = ta(92); + const qg = typeof process < "u" && process.versions != null && process.versions.node != null; + class Ig extends As { + static fromPath(m, y, S) { + if (!qg) throw new Error("FileStream is only available when running in Node!"); + Fg.readFile(m, y, function(F, z) { + let J = null; + z !== null && (J = new Ds(z, !0)), S(F, J); + }); + } + constructor(m, y, S) { + if (!qg) throw new Error("FileStream is only available when running in Node!"); + super(Fg.readFileSync(m, y || "utf-8"), S), this.fileName = m; + } + } + const Bg = { fromString: function(ae) { + return new Ds(ae, !0); + }, fromBlob: function(ae, m, y, S) { + const F = new window.FileReader(); + F.onload = function(z) { + const J = new Ds(z.target.result, !0); + y(J); + }, F.onerror = S, F.readAsText(ae, m); + }, fromBuffer: function(ae, m) { + return new Ds(ae.toString(m), !0); + }, fromPath: function(ae, m, y) { + Ig.fromPath(ae, m, y); + }, fromPathSync: function(ae, m) { + return new Ig(ae, m); + } }, LS = { arrayToString: u, stringToCharArray: function(ae) { + let m = new Uint16Array(ae.length); + for (let y = 0; y < ae.length; y++) m[y] = ae.charCodeAt(y); + return m; + } }; + class PS { + } + class Rg extends PS { + constructor(m) { + super(), this.tokenSource = m, this.tokens = [], this.index = -1, this.fetchedEOF = !1; + } + mark() { + return 0; + } + release(m) { + } + reset() { + this.seek(0); + } + seek(m) { + this.lazyInit(), this.index = this.adjustSeekIndex(m); + } + get size() { + return this.tokens.length; + } + get(m) { + return this.lazyInit(), this.tokens[m]; + } + consume() { + let m = !1; + if (m = this.index >= 0 && (this.fetchedEOF ? this.index < this.tokens.length - 1 : this.index < this.tokens.length), !m && this.LA(1) === t.EOF) throw "cannot consume EOF"; + this.sync(this.index + 1) && (this.index = this.adjustSeekIndex(this.index + 1)); + } + sync(m) { + const y = m - this.tokens.length + 1; + return !(y > 0) || this.fetch(y) >= y; + } + fetch(m) { + if (this.fetchedEOF) return 0; + for (let y = 0; y < m; y++) { + const S = this.tokenSource.nextToken(); + if (S.tokenIndex = this.tokens.length, this.tokens.push(S), S.type === t.EOF) return this.fetchedEOF = !0, y + 1; + } + return m; + } + getTokens(m, y, S) { + if (S === void 0 && (S = null), m < 0 || y < 0) return null; + this.lazyInit(); + const F = []; + y >= this.tokens.length && (y = this.tokens.length - 1); + for (let z = m; z < y; z++) { + const J = this.tokens[z]; + if (J.type === t.EOF) break; + (S === null || S.contains(J.type)) && F.push(J); + } + return F; + } + LA(m) { + return this.LT(m).type; + } + LB(m) { + return this.index - m < 0 ? null : this.tokens[this.index - m]; + } + LT(m) { + if (this.lazyInit(), m === 0) return null; + if (m < 0) return this.LB(-m); + const y = this.index + m - 1; + return this.sync(y), y >= this.tokens.length ? this.tokens[this.tokens.length - 1] : this.tokens[y]; + } + adjustSeekIndex(m) { + return m; + } + lazyInit() { + this.index === -1 && this.setup(); + } + setup() { + this.sync(0), this.index = this.adjustSeekIndex(0); + } + setTokenSource(m) { + this.tokenSource = m, this.tokens = [], this.index = -1, this.fetchedEOF = !1; + } + nextTokenOnChannel(m, y) { + if (this.sync(m), m >= this.tokens.length) return -1; + let S = this.tokens[m]; + for (; S.channel !== this.channel; ) { + if (S.type === t.EOF) return -1; + m += 1, this.sync(m), S = this.tokens[m]; + } + return m; + } + previousTokenOnChannel(m, y) { + for (; m >= 0 && this.tokens[m].channel !== y; ) m -= 1; + return m; + } + getHiddenTokensToRight(m, y) { + if (y === void 0 && (y = -1), this.lazyInit(), m < 0 || m >= this.tokens.length) throw m + " not in 0.." + this.tokens.length - 1; + const S = this.nextTokenOnChannel(m + 1, Zt.DEFAULT_TOKEN_CHANNEL), F = m + 1, z = S === -1 ? this.tokens.length - 1 : S; + return this.filterForChannel(F, z, y); + } + getHiddenTokensToLeft(m, y) { + if (y === void 0 && (y = -1), this.lazyInit(), m < 0 || m >= this.tokens.length) throw m + " not in 0.." + this.tokens.length - 1; + const S = this.previousTokenOnChannel(m - 1, Zt.DEFAULT_TOKEN_CHANNEL); + if (S === m - 1) return null; + const F = S + 1, z = m - 1; + return this.filterForChannel(F, z, y); + } + filterForChannel(m, y, S) { + const F = []; + for (let z = m; z < y + 1; z++) { + const J = this.tokens[z]; + S === -1 ? J.channel !== Zt.DEFAULT_TOKEN_CHANNEL && F.push(J) : J.channel === S && F.push(J); + } + return F.length === 0 ? null : F; + } + getSourceName() { + return this.tokenSource.getSourceName(); + } + getText(m) { + this.lazyInit(), this.fill(), m || (m = new b(0, this.tokens.length - 1)); + let y = m.start; + y instanceof t && (y = y.tokenIndex); + let S = m.stop; + if (S instanceof t && (S = S.tokenIndex), y === null || S === null || y < 0 || S < 0) return ""; + S >= this.tokens.length && (S = this.tokens.length - 1); + let F = ""; + for (let z = y; z < S + 1; z++) { + const J = this.tokens[z]; + if (J.type === t.EOF) break; + F += J.text; + } + return F; + } + fill() { + for (this.lazyInit(); this.fetch(1e3) === 1e3; ) ; + } + } + Object.defineProperty(Rg, "size", { get: function() { + return this.tokens.length; + } }); + class Lg extends Rg { + constructor(m, y) { + super(m), this.channel = y === void 0 ? t.DEFAULT_CHANNEL : y; + } + adjustSeekIndex(m) { + return this.nextTokenOnChannel(m, this.channel); + } + LB(m) { + if (m === 0 || this.index - m < 0) return null; + let y = this.index, S = 1; + for (; S <= m; ) y = this.previousTokenOnChannel(y - 1, this.channel), S += 1; + return y < 0 ? null : this.tokens[y]; + } + LT(m) { + if (this.lazyInit(), m === 0) return null; + if (m < 0) return this.LB(-m); + let y = this.index, S = 1; + for (; S < m; ) this.sync(y + 1) && (y = this.nextTokenOnChannel(y + 1, this.channel)), S += 1; + return this.tokens[y]; + } + getNumberOfOnChannelTokens() { + let m = 0; + this.fill(); + for (let y = 0; y < this.tokens.length; y++) { + const S = this.tokens[y]; + if (S.channel === this.channel && (m += 1), S.type === t.EOF) break; + } + return m; + } + } + class kS extends Cm { + constructor(m) { + super(), this.parser = m; + } + enterEveryRule(m) { + console.log("enter " + this.parser.ruleNames[m.ruleIndex] + ", LT(1)=" + this.parser._input.LT(1).text); + } + visitTerminal(m) { + console.log("consume " + m.symbol + " rule " + this.parser.ruleNames[this.parser._ctx.ruleIndex]); + } + exitEveryRule(m) { + console.log("exit " + this.parser.ruleNames[m.ruleIndex] + ", LT(1)=" + this.parser._input.LT(1).text); + } + } + class Om extends An { + constructor(m) { + super(), this._input = null, this._errHandler = new Mm(), this._precedenceStack = [], this._precedenceStack.push(0), this._ctx = null, this.buildParseTrees = !0, this._tracer = null, this._parseListeners = null, this._syntaxErrors = 0, this.setInputStream(m); + } + reset() { + this._input !== null && this._input.seek(0), this._errHandler.reset(this), this._ctx = null, this._syntaxErrors = 0, this.setTrace(!1), this._precedenceStack = [], this._precedenceStack.push(0), this._interp !== null && this._interp.reset(); + } + match(m) { + let y = this.getCurrentToken(); + return y.type === m ? (this._errHandler.reportMatch(this), this.consume()) : (y = this._errHandler.recoverInline(this), this.buildParseTrees && y.tokenIndex === -1 && this._ctx.addErrorNode(y)), y; + } + matchWildcard() { + let m = this.getCurrentToken(); + return m.type > 0 ? (this._errHandler.reportMatch(this), this.consume()) : (m = this._errHandler.recoverInline(this), this.buildParseTrees && m.tokenIndex === -1 && this._ctx.addErrorNode(m)), m; + } + getParseListeners() { + return this._parseListeners || []; + } + addParseListener(m) { + if (m === null) throw "listener"; + this._parseListeners === null && (this._parseListeners = []), this._parseListeners.push(m); + } + removeParseListener(m) { + if (this._parseListeners !== null) { + const y = this._parseListeners.indexOf(m); + y >= 0 && this._parseListeners.splice(y, 1), this._parseListeners.length === 0 && (this._parseListeners = null); + } + } + removeParseListeners() { + this._parseListeners = null; + } + triggerEnterRuleEvent() { + if (this._parseListeners !== null) { + const m = this._ctx; + this._parseListeners.forEach(function(y) { + y.enterEveryRule(m), m.enterRule(y); + }); + } + } + triggerExitRuleEvent() { + if (this._parseListeners !== null) { + const m = this._ctx; + this._parseListeners.slice(0).reverse().forEach(function(y) { + m.exitRule(y), y.exitEveryRule(m); + }); + } + } + getTokenFactory() { + return this._input.tokenSource._factory; + } + setTokenFactory(m) { + this._input.tokenSource._factory = m; + } + getATNWithBypassAlts() { + const m = this.getSerializedATN(); + if (m === null) throw "The current parser does not support an ATN with bypass alternatives."; + let y = this.bypassAltsAtnCache[m]; + if (y === null) { + const S = new rt(); + S.generateRuleBypassTransitions = !0, y = new ft(S).deserialize(m), this.bypassAltsAtnCache[m] = y; + } + return y; + } + getInputStream() { + return this.getTokenStream(); + } + setInputStream(m) { + this.setTokenStream(m); + } + getTokenStream() { + return this._input; + } + setTokenStream(m) { + this._input = null, this.reset(), this._input = m; + } + get syntaxErrorsCount() { + return this._syntaxErrors; + } + getCurrentToken() { + return this._input.LT(1); + } + notifyErrorListeners(m, y, S) { + S = S || null, (y = y || null) === null && (y = this.getCurrentToken()), this._syntaxErrors += 1; + const F = y.line, z = y.column; + this.getErrorListenerDispatch().syntaxError(this, y, F, z, m, S); + } + consume() { + const m = this.getCurrentToken(); + m.type !== t.EOF && this.getInputStream().consume(); + const y = this._parseListeners !== null && this._parseListeners.length > 0; + if (this.buildParseTrees || y) { + let S; + S = this._errHandler.inErrorRecoveryMode(this) ? this._ctx.addErrorNode(m) : this._ctx.addTokenNode(m), S.invokingState = this.state, y && this._parseListeners.forEach(function(F) { + S instanceof L || S.isErrorNode !== void 0 && S.isErrorNode() ? F.visitErrorNode(S) : S instanceof k && F.visitTerminal(S); + }); + } + return m; + } + addContextToParseTree() { + this._ctx.parentCtx !== null && this._ctx.parentCtx.addChild(this._ctx); + } + enterRule(m, y, S) { + this.state = y, this._ctx = m, this._ctx.start = this._input.LT(1), this.buildParseTrees && this.addContextToParseTree(), this.triggerEnterRuleEvent(); + } + exitRule() { + this._ctx.stop = this._input.LT(-1), this.triggerExitRuleEvent(), this.state = this._ctx.invokingState, this._ctx = this._ctx.parentCtx; + } + enterOuterAlt(m, y) { + m.setAltNumber(y), this.buildParseTrees && this._ctx !== m && this._ctx.parentCtx !== null && (this._ctx.parentCtx.removeLastChild(), this._ctx.parentCtx.addChild(m)), this._ctx = m; + } + getPrecedence() { + return this._precedenceStack.length === 0 ? -1 : this._precedenceStack[this._precedenceStack.length - 1]; + } + enterRecursionRule(m, y, S, F) { + this.state = y, this._precedenceStack.push(F), this._ctx = m, this._ctx.start = this._input.LT(1), this.triggerEnterRuleEvent(); + } + pushNewRecursionContext(m, y, S) { + const F = this._ctx; + F.parentCtx = m, F.invokingState = y, F.stop = this._input.LT(-1), this._ctx = m, this._ctx.start = F.start, this.buildParseTrees && this._ctx.addChild(F), this.triggerEnterRuleEvent(); + } + unrollRecursionContexts(m) { + this._precedenceStack.pop(), this._ctx.stop = this._input.LT(-1); + const y = this._ctx, S = this.getParseListeners(); + if (S !== null && S.length > 0) for (; this._ctx !== m; ) this.triggerExitRuleEvent(), this._ctx = this._ctx.parentCtx; + else this._ctx = m; + y.parentCtx = m, this.buildParseTrees && m !== null && m.addChild(y); + } + getInvokingContext(m) { + let y = this._ctx; + for (; y !== null; ) { + if (y.ruleIndex === m) return y; + y = y.parentCtx; + } + return null; + } + precpred(m, y) { + return y >= this._precedenceStack[this._precedenceStack.length - 1]; + } + inContext(m) { + return !1; + } + isExpectedToken(m) { + const y = this._interp.atn; + let S = this._ctx; + const F = y.states[this.state]; + let z = y.nextTokens(F); + if (z.contains(m)) return !0; + if (!z.contains(t.EPSILON)) return !1; + for (; S !== null && S.invokingState >= 0 && z.contains(t.EPSILON); ) { + const J = y.states[S.invokingState].transitions[0]; + if (z = y.nextTokens(J.followState), z.contains(m)) return !0; + S = S.parentCtx; + } + return !(!z.contains(t.EPSILON) || m !== t.EOF); + } + getExpectedTokens() { + return this._interp.atn.getExpectedTokens(this.state, this._ctx); + } + getExpectedTokensWithinCurrentRule() { + const m = this._interp.atn, y = m.states[this.state]; + return m.nextTokens(y); + } + getRuleIndex(m) { + const y = this.getRuleIndexMap()[m]; + return y !== null ? y : -1; + } + getRuleInvocationStack(m) { + (m = m || null) === null && (m = this._ctx); + const y = []; + for (; m !== null; ) { + const S = m.ruleIndex; + S < 0 ? y.push("n/a") : y.push(this.ruleNames[S]), m = m.parentCtx; + } + return y; + } + getDFAStrings() { + return this._interp.decisionToDFA.toString(); + } + dumpDFA() { + let m = !1; + for (let y = 0; y < this._interp.decisionToDFA.length; y++) { + const S = this._interp.decisionToDFA[y]; + S.states.length > 0 && (m && console.log(), this.printer.println("Decision " + S.decision + ":"), this.printer.print(S.toString(this.literalNames, this.symbolicNames)), m = !0); + } + } + getSourceName() { + return this._input.sourceName; + } + setTrace(m) { + m ? (this._tracer !== null && this.removeParseListener(this._tracer), this._tracer = new kS(this), this.addParseListener(this._tracer)) : (this.removeParseListener(this._tracer), this._tracer = null); + } + } + Om.bypassAltsAtnCache = {}; + class Pg extends k { + constructor(m) { + super(), this.parentCtx = null, this.symbol = m; + } + getChild(m) { + return null; + } + getSymbol() { + return this.symbol; + } + getParent() { + return this.parentCtx; + } + getPayload() { + return this.symbol; + } + getSourceInterval() { + if (this.symbol === null) return b.INVALID_INTERVAL; + const m = this.symbol.tokenIndex; + return new b(m, m); + } + getChildCount() { + return 0; + } + accept(m) { + return m.visitTerminal(this); + } + getText() { + return this.symbol.text; + } + toString() { + return this.symbol.type === t.EOF ? "" : this.symbol.text; + } + } + class kg extends Pg { + constructor(m) { + super(m); + } + isErrorNode() { + return !0; + } + accept(m) { + return m.visitErrorNode(this); + } + } + class Fm extends P { + constructor(m, y) { + super(m, y), this.children = null, this.start = null, this.stop = null, this.exception = null; + } + copyFrom(m) { + this.parentCtx = m.parentCtx, this.invokingState = m.invokingState, this.children = null, this.start = m.start, this.stop = m.stop, m.children && (this.children = [], m.children.map(function(y) { + y instanceof kg && (this.children.push(y), y.parentCtx = this); + }, this)); + } + enterRule(m) { + } + exitRule(m) { + } + addChild(m) { + return this.children === null && (this.children = []), this.children.push(m), m; + } + removeLastChild() { + this.children !== null && this.children.pop(); + } + addTokenNode(m) { + const y = new Pg(m); + return this.addChild(y), y.parentCtx = this, y; + } + addErrorNode(m) { + const y = new kg(m); + return this.addChild(y), y.parentCtx = this, y; + } + getChild(m, y) { + if (y = y || null, this.children === null || m < 0 || m >= this.children.length) return null; + if (y === null) return this.children[m]; + for (let S = 0; S < this.children.length; S++) { + const F = this.children[S]; + if (F instanceof y) { + if (m === 0) return F; + m -= 1; + } + } + return null; + } + getToken(m, y) { + if (this.children === null || y < 0 || y >= this.children.length) return null; + for (let S = 0; S < this.children.length; S++) { + const F = this.children[S]; + if (F instanceof k && F.symbol.type === m) { + if (y === 0) return F; + y -= 1; + } + } + return null; + } + getTokens(m) { + if (this.children === null) return []; + { + const y = []; + for (let S = 0; S < this.children.length; S++) { + const F = this.children[S]; + F instanceof k && F.symbol.type === m && y.push(F); + } + return y; + } + } + getTypedRuleContext(m, y) { + return this.getChild(y, m); + } + getTypedRuleContexts(m) { + if (this.children === null) return []; + { + const y = []; + for (let S = 0; S < this.children.length; S++) { + const F = this.children[S]; + F instanceof m && y.push(F); + } + return y; + } + } + getChildCount() { + return this.children === null ? 0 : this.children.length; + } + getSourceInterval() { + return this.start === null || this.stop === null ? b.INVALID_INTERVAL : new b(this.start.tokenIndex, this.stop.tokenIndex); + } + } + P.EMPTY = new Fm(); + class Ai { + static DEFAULT_PROGRAM_NAME = "default"; + constructor(m) { + this.tokens = m, this.programs = /* @__PURE__ */ new Map(); + } + getTokenStream() { + return this.tokens; + } + insertAfter(m, y) { + let S, F = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : Ai.DEFAULT_PROGRAM_NAME; + S = typeof m == "number" ? m : m.tokenIndex; + let z = this.getProgram(F), J = new zg(this.tokens, S, z.length, y); + z.push(J); + } + insertBefore(m, y) { + let S, F = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : Ai.DEFAULT_PROGRAM_NAME; + S = typeof m == "number" ? m : m.tokenIndex; + const z = this.getProgram(F), J = new Ea(this.tokens, S, z.length, y); + z.push(J); + } + replaceSingle(m, y) { + let S = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : Ai.DEFAULT_PROGRAM_NAME; + this.replace(m, m, y, S); + } + replace(m, y, S) { + let F = arguments.length > 3 && arguments[3] !== void 0 ? arguments[3] : Ai.DEFAULT_PROGRAM_NAME; + if (typeof m != "number" && (m = m.tokenIndex), typeof y != "number" && (y = y.tokenIndex), m > y || m < 0 || y < 0 || y >= this.tokens.size) throw new RangeError(`replace: range invalid: ${m}..${y}(size=${this.tokens.size})`); + let z = this.getProgram(F), J = new _o(this.tokens, m, y, z.length, S); + z.push(J); + } + delete(m, y) { + let S = arguments.length > 2 && arguments[2] !== void 0 ? arguments[2] : Ai.DEFAULT_PROGRAM_NAME; + y === void 0 && (y = m), this.replace(m, y, null, S); + } + getProgram(m) { + let y = this.programs.get(m); + return y == null && (y = this.initializeProgram(m)), y; + } + initializeProgram(m) { + const y = []; + return this.programs.set(m, y), y; + } + getText(m) { + let y, S = arguments.length > 1 && arguments[1] !== void 0 ? arguments[1] : Ai.DEFAULT_PROGRAM_NAME; + y = m instanceof b ? m : new b(0, this.tokens.size - 1), typeof m == "string" && (S = m); + const F = this.programs.get(S); + let z = y.start, J = y.stop; + if (J > this.tokens.size - 1 && (J = this.tokens.size - 1), z < 0 && (z = 0), F == null || F.length === 0) return this.tokens.getText(new b(z, J)); + let fe = [], _e = this.reduceToSingleOperationPerIndex(F), Fe = z; + for (; Fe <= J && Fe < this.tokens.size; ) { + let $e = _e.get(Fe); + _e.delete(Fe); + let je = this.tokens.get(Fe); + $e == null ? (je.type !== t.EOF && fe.push(String(je.text)), Fe++) : Fe = $e.execute(fe); + } + if (J === this.tokens.size - 1) for (const $e of _e.values()) $e.index >= this.tokens.size - 1 && fe.push($e.text.toString()); + return fe.join(""); + } + reduceToSingleOperationPerIndex(m) { + for (let S = 0; S < m.length; S++) { + let F = m[S]; + if (F == null || !(F instanceof _o)) continue; + let z = F, J = this.getKindOfOps(m, Ea, S); + for (let _e of J) _e.index === z.index ? (m[_e.instructionIndex] = void 0, z.text = _e.text.toString() + (z.text != null ? z.text.toString() : "")) : _e.index > z.index && _e.index <= z.lastIndex && (m[_e.instructionIndex] = void 0); + let fe = this.getKindOfOps(m, _o, S); + for (let _e of fe) { + if (_e.index >= z.index && _e.lastIndex <= z.lastIndex) { + m[_e.instructionIndex] = void 0; + continue; + } + let Fe = _e.lastIndex < z.index || _e.index > z.lastIndex; + if (_e.text != null || z.text != null || Fe) { + if (!Fe) throw new Error(`replace op boundaries of ${z} overlap with previous ${_e}`); + } else m[_e.instructionIndex] = void 0, z.index = Math.min(_e.index, z.index), z.lastIndex = Math.max(_e.lastIndex, z.lastIndex); + } + } + for (let S = 0; S < m.length; S++) { + let F = m[S]; + if (F == null || !(F instanceof Ea)) continue; + let z = F, J = this.getKindOfOps(m, Ea, S); + for (let _e of J) _e.index === z.index && (_e instanceof zg ? (z.text = this.catOpText(_e.text, z.text), m[_e.instructionIndex] = void 0) : _e instanceof Ea && (z.text = this.catOpText(z.text, _e.text), m[_e.instructionIndex] = void 0)); + let fe = this.getKindOfOps(m, _o, S); + for (let _e of fe) if (z.index !== _e.index) { + if (z.index >= _e.index && z.index <= _e.lastIndex) throw new Error(`insert op ${z} within boundaries of previous ${_e}`); + } else _e.text = this.catOpText(z.text, _e.text), m[S] = void 0; + } + let y = /* @__PURE__ */ new Map(); + for (let S of m) if (S != null) { + if (y.get(S.index) != null) throw new Error("should only be one op per index"); + y.set(S.index, S); + } + return y; + } + catOpText(m, y) { + let S = "", F = ""; + return m != null && (S = m.toString()), y != null && (F = y.toString()), S + F; + } + getKindOfOps(m, y, S) { + return m.slice(0, S).filter((F) => F && F instanceof y); + } + } + class $g { + constructor(m, y, S, F) { + this.tokens = m, this.instructionIndex = S, this.index = y, this.text = F === void 0 ? "" : F; + } + toString() { + let m = this.constructor.name; + const y = m.indexOf("$"); + return m = m.substring(y + 1, m.length), "<" + m + "@" + this.tokens.get(this.index) + ':"' + this.text + '">'; + } + } + class Ea extends $g { + constructor(m, y, S, F) { + super(m, y, S, F); + } + execute(m) { + return this.text && m.push(this.text.toString()), this.tokens.get(this.index).type !== t.EOF && m.push(String(this.tokens.get(this.index).text)), this.index + 1; + } + } + class zg extends Ea { + constructor(m, y, S, F) { + super(m, y + 1, S, F); + } + } + class _o extends $g { + constructor(m, y, S, F, z) { + super(m, y, F, z), this.lastIndex = S; + } + execute(m) { + return this.text && m.push(this.text.toString()), this.lastIndex + 1; + } + toString() { + return this.text == null ? "" : "'; + } + } + const $S = { atn: Ki, dfa: MS, context: OS, misc: FS, tree: qS, error: RS, Token: t, CommonToken: Or, CharStreams: Bg, CharStream: As, InputStream: As, CommonTokenStream: Lg, Lexer: Zt, Parser: Om, ParserRuleContext: Fm, Interval: b, IntervalSet: C, LL1Analyzer: ve, Utils: LS, TokenStreamRewriter: Ai }; +})(); +var ra = zt.dx, DS = zt.q2; +zt.FO; +zt.xf; +zt.Gy; +zt.s4; +var uk = zt.c7, AS = zt._7; +zt.gp; +var hg = zt.cK; +zt.zs; +var lk = zt.AV; +zt.Xp; +zt.VS; +zt.ul; +var ck = zt.hW, fk = zt.x1; +zt.z5; +var pk = zt.oN; +zt.TB; +var hk = zt.u1, mk = zt._b, dk = zt.$F, Mr = zt._T, ES = zt.db; +zt.Zx; +var Sr = zt._x; +zt.r8; +zt.JI; +zt.TP; +var SS = zt.WU; +zt.Nj; +zt.ZP; +var vk = [ + "悋Ꜫ脳맭䅼㯧瞆奤", + "-Ĥ\b  ", + "   \x07 ", + `\x07\b \b  + +\v \v`, + "\f \f\r \r  ", + "    ", + "   ", + "    ", + "\x1B \x1B  ", + '   ! !" "#', + " #$ $% %& &' '( () )", + "* *+ +, ,", + "", + "\x07", + "\x07\x07\b\b\b  ", + `       + + +`, + ` + + + + + +\v\v`, + "\v\v\v\v\v\v", + "\f\f\f\f\f\r\r", + "", + "", + "", + "", + "", + "", + "", + "\x1B\x1B", + "", + " ", + '   !!!""""', + '"###$$$$$', + `$$$á +$%%%%æ +%\r%`, + `%ç&&&&í +&\r&&î'`, + `'ò +'\r''ó((\x07(ø +(\f`, + `((û\v())þ +)\r))ÿ)`, + `)***Ć +*\r**ć**`, + `++++\x07+Đ ++\f++ē\v+`, + "+++++,,,,\x07", + `,Ğ +,\f,,ġ\v,,,đ-`, + "\x07 \v\x07\r\b ", + ` +\v\f\r\x1B`, + "!#%')+-/1", + `3\x1B579;= ?!A"C#E$G%I&K'M(O)Q*S+U,W-`, + ` +2;GGgg--//c`, + '|2;C\\aac|\v\f""\x07', + "/02;C\\aac|\f\fĭ", + "\x07", + " \v", + "\r", + "", + "", + "\x1B", + "", + "!#", + "%'", + ")+", + "-/", + "135", + "79", + ";=", + "?A", + "CE", + "GIK", + "MO", + "QS", + "UW", + "Y[\x07", + "b d\vf", + "\rhk", + "nv", + "‡", + "Œ\x1BŽ", + "•!", + "š#œ%¤", + "'§)­", + "+¯-²", + "/´1¶", + "3¸5º", + "7¼9¾;Â", + "=Æ?Ê", + "AÎCÑ", + "EÖGà", + "IâKé", + "MñOõQý", + "SăUċ", + "WęYZ\x07", + "Z[\\\x07q\\]\x07", + "r]^\x07c^_\x07s_`\x07w", + "`a\x07gabc\x07=", + `c\bde\x07*e +`, + "fg\x07+g\fh", + "i\x07kij\x07hj", + "kl\x07?lm\x07?m", + "no\x07dop\x07cpq\x07t", + "qr\x07trs\x07kst\x07gtu\x07", + "tuvw\x07Qwx", + "\x07Rxy\x07Gyz\x07Pz{\x07", + "S{|\x07C|}\x07U}~\x07O", + "~€\x07k", + "€\x07p‚\x07e‚", + "ƒ\x07nƒ„\x07w„…", + "\x07f…†\x07g†", + "‡ˆ\x07sˆ‰\x07", + "t‰Š\x07gŠ‹\x07i", + "‹Œ\x07]", + "Ž\x07_", + "‘\x07e", + "‘’\x07t’“\x07g", + "“”\x07i”", + "•–\x07i–—\x07c—", + "˜\x07v˜™\x07g™ ", + 'š›\x07}›"', + "œ\x07ož\x07g", + "žŸ\x07cŸ \x07u", + " ¡\x07w¡¢\x07t¢", + "£\x07g£$¤¥", + "\x07/¥¦\x07@¦&", + "§¨\x07t¨©\x07g", + "©ª\x07uª«\x07g", + "«¬\x07v¬(­", + "®\x07W®*¯°", + "\x07E°±\x07Z±,", + "²³\x07.³.", + "´µ\x07`µ0", + "¶·\x07,·2¸", + "¹\x071¹4º»", + "\x07-»6¼½\x07", + "/½8¾¿\x07u", + "¿À\x07kÀÁ\x07p", + "Á:ÂÃ\x07eÃ", + "Ä\x07qÄÅ\x07uÅ<", + "ÆÇ\x07vÇÈ\x07", + "cÈÉ\x07pÉ>", + "ÊË\x07gËÌ\x07z", + "ÌÍ\x07rÍ@Î", + "Ï\x07nÏÐ\x07pÐB", + "ÑÒ\x07uÒÓ\x07", + "sÓÔ\x07tÔÕ\x07v", + "ÕDÖ×\x07r", + "×Ø\x07kØFÙ", + "ÚI%ÚÛK&Ûá", + "ÜÝM'ÝÞK&Þ", + "áßáI%àÙ", + "àÜàß", + "áHâã", + "M'ãå\x070äæ ", + "åäæç", + "çåçè", + "èJéê ", + "êì ëí ì", + "ëíîî", + "ìîïï", + "Lðò ñð", + "òóóñ", + "óôôN", + "õù öø", + " ÷öøû", + "ù÷ùú", + "úPûù", + "üþ \x07ýü", + "þÿÿý", + "ÿĀĀā", + "āĂ\b)ĂR", + "ăą\x07$ĄĆ \b", + "ąĄĆć", + "ćąćĈ", + "ĈĉĉĊ\x07$", + "ĊTċČ\x071Č", + "č\x07,čđĎ", + "Đ\vďĎĐ", + "ēđĒđ", + "ďĒĔē", + "đĔĕ\x07,ĕ", + "Ė\x071Ėėė", + "Ę\b+ĘVęĚ\x07", + "1Ěě\x071ěğ", + `ĜĞ + ĝĜ`, + "Ğġğĝ", + "ğĠĠĢ", + "ġğĢģ\b,", + "ģX\fàçîóù", + "ÿćđğ\b" +].join(""), mg = new DS().deserialize(vk), gk = mg.decisionToState.map(function(t, e) { + return new AS(t, e); +}); +class vt extends ck { + constructor(e) { + super(e), this._interp = new fk(this, mg, gk, new ES()); + } + channelNames = ["DEFAULT_TOKEN_CHANNEL", "HIDDEN"]; + modeNames = ["DEFAULT_MODE"]; + literalNames = [ + null, + "'}'", + "'opaque'", + "';'", + "'('", + "')'", + "'if'", + "'=='", + "'barrier'", + "'OPENQASM'", + "'include'", + "'qreg'", + "'['", + "']'", + "'creg'", + "'gate'", + "'{'", + "'measure'", + "'->'", + "'reset'", + "'U'", + "'CX'", + "','", + "'^'", + "'*'", + "'/'", + "'+'", + "'-'", + "'sin'", + "'cos'", + "'tan'", + "'exp'", + "'ln'", + "'sqrt'", + "'pi'" + ]; + symbolicNames = [ + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + "PI", + "REAL", + "SUBREAL", + "EXPREAL", + "INT", + "ID", + "WS", + "FILENAME", + "COMMENT", + "LINE_COMMENT" + ]; + ruleNames = [ + "T__0", + "T__1", + "T__2", + "T__3", + "T__4", + "T__5", + "T__6", + "T__7", + "T__8", + "T__9", + "T__10", + "T__11", + "T__12", + "T__13", + "T__14", + "T__15", + "T__16", + "T__17", + "T__18", + "T__19", + "T__20", + "T__21", + "T__22", + "T__23", + "T__24", + "T__25", + "T__26", + "T__27", + "T__28", + "T__29", + "T__30", + "T__31", + "T__32", + "PI", + "REAL", + "SUBREAL", + "EXPREAL", + "INT", + "ID", + "WS", + "FILENAME", + "COMMENT", + "LINE_COMMENT" + ]; + grammarFileName = "QASM.g4"; +} +Object.defineProperty(vt.prototype, "atn", { + get: function() { + return mg; + } +}); +vt.EOF = SS.EOF; +vt.T__0 = 1; +vt.T__1 = 2; +vt.T__2 = 3; +vt.T__3 = 4; +vt.T__4 = 5; +vt.T__5 = 6; +vt.T__6 = 7; +vt.T__7 = 8; +vt.T__8 = 9; +vt.T__9 = 10; +vt.T__10 = 11; +vt.T__11 = 12; +vt.T__12 = 13; +vt.T__13 = 14; +vt.T__14 = 15; +vt.T__15 = 16; +vt.T__16 = 17; +vt.T__17 = 18; +vt.T__18 = 19; +vt.T__19 = 20; +vt.T__20 = 21; +vt.T__21 = 22; +vt.T__22 = 23; +vt.T__23 = 24; +vt.T__24 = 25; +vt.T__25 = 26; +vt.T__26 = 27; +vt.T__27 = 28; +vt.T__28 = 29; +vt.T__29 = 30; +vt.T__30 = 31; +vt.T__31 = 32; +vt.T__32 = 33; +vt.PI = 34; +vt.REAL = 35; +vt.SUBREAL = 36; +vt.EXPREAL = 37; +vt.INT = 38; +vt.ID = 39; +vt.WS = 40; +vt.FILENAME = 41; +vt.COMMENT = 42; +vt.LINE_COMMENT = 43; +class Mt extends pk { + constructor() { + super(); + } + enterMainprog = function(e) { + }; + // Exit a parse tree produced by QASMParser#mainprog. + exitMainprog = function(e) { + }; + // Enter a parse tree produced by QASMParser#statement. + enterStatement = function(e) { + }; + // Exit a parse tree produced by QASMParser#statement. + exitStatement = function(e) { + }; + // Enter a parse tree produced by QASMParser#version. + enterVersion = function(e) { + }; + // Exit a parse tree produced by QASMParser#version. + exitVersion = function(e) { + }; + // Enter a parse tree produced by QASMParser#include. + enterInclude = function(e) { + }; + // Exit a parse tree produced by QASMParser#include. + exitInclude = function(e) { + }; + // Enter a parse tree produced by QASMParser#filename. + enterFilename = function(e) { + }; + // Exit a parse tree produced by QASMParser#filename. + exitFilename = function(e) { + }; + // Enter a parse tree produced by QASMParser#decl. + enterDecl = function(e) { + }; + // Exit a parse tree produced by QASMParser#decl. + exitDecl = function(e) { + }; + // Enter a parse tree produced by QASMParser#gatedecl. + enterGatedecl = function(e) { + }; + // Exit a parse tree produced by QASMParser#gatedecl. + exitGatedecl = function(e) { + }; + // Enter a parse tree produced by QASMParser#goplist. + enterGoplist = function(e) { + }; + // Exit a parse tree produced by QASMParser#goplist. + exitGoplist = function(e) { + }; + // Enter a parse tree produced by QASMParser#qop. + enterQop = function(e) { + }; + // Exit a parse tree produced by QASMParser#qop. + exitQop = function(e) { + }; + // Enter a parse tree produced by QASMParser#uop. + enterUop = function(e) { + }; + // Exit a parse tree produced by QASMParser#uop. + exitUop = function(e) { + }; + // Enter a parse tree produced by QASMParser#anylist. + enterAnylist = function(e) { + }; + // Exit a parse tree produced by QASMParser#anylist. + exitAnylist = function(e) { + }; + // Enter a parse tree produced by QASMParser#idlist. + enterIdlist = function(e) { + }; + // Exit a parse tree produced by QASMParser#idlist. + exitIdlist = function(e) { + }; + // Enter a parse tree produced by QASMParser#mixedlist. + enterMixedlist = function(e) { + }; + // Exit a parse tree produced by QASMParser#mixedlist. + exitMixedlist = function(e) { + }; + // Enter a parse tree produced by QASMParser#argument. + enterArgument = function(e) { + }; + // Exit a parse tree produced by QASMParser#argument. + exitArgument = function(e) { + }; + // Enter a parse tree produced by QASMParser#explist. + enterExplist = function(e) { + }; + // Exit a parse tree produced by QASMParser#explist. + exitExplist = function(e) { + }; + // Enter a parse tree produced by QASMParser#exp. + enterExp = function(e) { + }; + // Exit a parse tree produced by QASMParser#exp. + exitExp = function(e) { + }; + // Enter a parse tree produced by QASMParser#atom. + enterAtom = function(e) { + }; + // Exit a parse tree produced by QASMParser#atom. + exitAtom = function(e) { + }; + // Enter a parse tree produced by QASMParser#unaryop. + enterUnaryop = function(e) { + }; + // Exit a parse tree produced by QASMParser#unaryop. + exitUnaryop = function(e) { + }; +} +var yk = [ + "悋Ꜫ脳맭䅼㯧瞆奤", + "-İ   ", + "  \x07 \x07", + `\b \b  + +\v \v\f \f`, + "\r \r   ", + "   ", + `\x07) +\f,\v`, + "", + "", + "", + "", + "", + "", + `W +`, + "", + "\x07\x07", + "\x07\x07\x07\x07\x07\x07", + `\x07\x07\x07\x07\x07o +\x07`, + "\b\b\b\b\b\b\b\b", + "\b\b\b\b\b\b\b\b\b", + `\b\b\b\b… +\b    `, + `  Œ + \r   + + +`, + ` + + + + + + + +`, + ` +› + +\v\v\v\v\v`, + "\v\v\v\v\v\v", + "\v\v\v\v\v\v", + "\v\v\v\v\v\v", + "\v\v\v\v\v\v", + `\v\v» +\v\f\f\f¿`, + ` +\f\r\r\x07\rà +\r\f\r\rÆ\v\r`, + "\r\r", + `\x07Ï +\fÒ\v`, + "\x07", + `Ú +\fÝ\v`, + "\x07", + `å +\fè\v`, + `\x07ì +\fï\v`, + `õ +`, + "", + `ü +\x07`, + `ā +\fĄ\v`, + `Ċ +`, + `đ +`, + "", + `ę +Ĝ +`, + "", + `\x07ħ +\f`, + "Ī\v", + ` \b +\f`, + ' "$', + "\x1B$%()", + "#ń&V", + "X\b\\", + "\n`\fn„", + "‹š", + "º¾", + "Äô", + "ûĂ", + ' ě"ī', + "$ĭ&*", + "')('),", + "*(*++", + ",*-W\f\x07", + "./\b/0 01\x07", + "1W23\b34\x07", + "4W56\x0767\x07)", + "78\r89\x079W", + ":;\x07;<\x07)<=", + "\x07=>\x07\x07>?\r", + "?@\x07@WAB\x07", + "BC\x07)CD\x07DE", + "\rEF\x07\x07FG\rGH\x07", + `HWIW +JK\x07`, + "\bKL\x07LM\x07)MN\x07", + " NO\x07(OP\x07\x07PW", + ` +QR\x07 +RS\fST\x07`, + "TWUW\bV-", + "V.V2", + "V5V:VA", + "VIVJVQ", + "VUW", + "XY\x07\vYZ\x07%Z[\x07", + "[\x07\\]\x07\f]^", + ` +^_\x07_ `, + "`a\x07+a\vbc\x07\r", + "cd\x07)de\x07ef\x07(", + "fg\x07go\x07hi\x07", + "ij\x07)jk\x07kl\x07", + "(lm\x07mo\x07nb", + "nho\r", + "pq\x07qr\x07)rs", + "\rst\x07t…uv", + "\x07vw\x07)wx\x07", + "xy\x07\x07yz\rz{\x07", + "{…|}\x07}~\x07", + ")~\x07€", + "\r€\x07\x07‚", + "\r‚ƒ\x07ƒ…", + "„p„u", + "„|…", + `†Œ\v‡ˆ\x07 +`, + "ˆ‰\r‰Š\x07", + "ŠŒ‹†", + "‹‡Œ", + "‹Ž", + "Ž›\v", + "‘\x07‘’", + "’“\x07“”", + "”•\x07•›", + "–—\x07—˜", + "˜™\x07™›", + "šš", + "š–›", + "œ\x07ž\x07", + "žŸŸ \x07\x07", + " ¡¡¢\x07", + "¢»£¤\x07", + "¤¥¥¦\x07", + "¦§§¨\x07", + "¨»©ª\x07)", + "ª«\f«¬\x07", + "¬»­®\x07)", + "®¯\x07¯°\x07\x07", + "°±\f±²\x07", + "²»³´\x07)", + "´µ\x07µ¶", + "¶·\x07\x07·¸\f", + "¸¹\x07¹»", + "ºœº£", + "º©º­", + "º³»", + "¼¿\r½¿", + "¾¼¾½", + "¿ÀÁ\x07)", + "ÁÃ\x07ÂÀ", + "ÃÆÄÂ", + "ÄÅÅÇ", + "ÆÄÇÈ\x07)", + "ÈÉÊ\x07)", + "ÊË\x07ËÌ\x07(", + "ÌÍ\x07ÍÏ\x07", + "ÎÉÏÒ", + "ÐÎÐÑ", + "ÑÓÒÐ", + "Óõ\x07)ÔÕ\x07)", + "ÕÖ\x07Ö×\x07(", + "×Ø\x07ØÚ\x07", + "ÙÔÚÝ", + "ÛÙÛÜ", + "ÜÞÝÛ", + "Þß\x07)ßà\x07", + "àá\x07(áõ\x07", + "âã\x07)ãå\x07", + "äâåè", + "æäæç", + "çéèæ", + "éê\x07)êì\x07", + "ëæìï", + "íëíî", + "îðïí", + "ðñ\x07)ñò\x07", + "òó\x07(óõ\x07", + "ôÐôÛ", + "ôíõ\x1B", + "öü\x07)÷ø\x07)ø", + "ù\x07ùú\x07(ú", + "ü\x07ûöû", + "÷üý", + "þ þÿ\x07ÿ", + "āĀýā", + "ĄĂĀĂ", + "ă㹥", + "ĂąĆ Ć", + "ćĉ\bĈ", + "Ċ ĉĈĉ", + "ĊĊċċ", + "Č\x07Čč č", + "Ď\x07\x07ĎĜď", + "đ ĐďĐ", + "đđĒĒ", + "ē$ēĔ\x07Ĕ", + "ĕ ĕĖ\x07\x07Ė", + "Ĝėę Ę", + "ėĘęę", + 'ĚĚĜ"ě', + "ćěĐě", + "ĘĜĨĝ", + "Ğ\f\bĞğ\x07ğħ", + "  Ġġ\f\x07ġĢ ", + "Ģħ \bģĤ\f", + "Ĥĥ ĥħ \x07Ħ", + "ĝĦĠĦ", + "ģħĪĨ", + "ĦĨĩĩ", + "!ĪĨī", + "Ĭ Ĭ#ĭĮ", + " Į%*Vn„‹", + "šº¾ÄÐÛæíôûĂ", + "ĉĐĘěĦĨ" +].join(""), dg = new DS().deserialize(yk), xk = dg.decisionToState.map(function(t, e) { + return new AS(t, e); +}), bk = new ES(), wk = [ + null, + "'}'", + "'opaque'", + "';'", + "'('", + "')'", + "'if'", + "'=='", + "'barrier'", + "'OPENQASM'", + "'include'", + "'qreg'", + "'['", + "']'", + "'creg'", + "'gate'", + "'{'", + "'measure'", + "'->'", + "'reset'", + "'U'", + "'CX'", + "','", + "'^'", + "'*'", + "'/'", + "'+'", + "'-'", + "'sin'", + "'cos'", + "'tan'", + "'exp'", + "'ln'", + "'sqrt'", + "'pi'" +], Nk = [ + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + null, + "PI", + "REAL", + "SUBREAL", + "EXPREAL", + "INT", + "ID", + "WS", + "FILENAME", + "COMMENT", + "LINE_COMMENT" +], Dk = [ + "mainprog", + "statement", + "version", + "include", + "filename", + "decl", + "gatedecl", + "goplist", + "qop", + "uop", + "anylist", + "idlist", + "mixedlist", + "argument", + "explist", + "exp", + "atom", + "unaryop" +]; +class Y extends mk { + constructor(e) { + super(e), this._interp = new dk(this, dg, xk, bk), this.ruleNames = Dk, this.literalNames = wk, this.symbolicNames = Nk; + } + unaryop = function() { + var e = new Sg(this, this._ctx, this.state); + this.enterRule(e, 34, Y.RULE_unaryop); + var r = 0; + try { + this.enterOuterAlt(e, 1), this.state = 299, r = this._input.LA(1), !(r - 28 & -32) && 1 << r - 28 & (1 << Y.T__27 - 28 | 1 << Y.T__28 - 28 | 1 << Y.T__29 - 28 | 1 << Y.T__30 - 28 | 1 << Y.T__31 - 28 | 1 << Y.T__32 - 28) ? (this._errHandler.reportMatch(this), this.consume()) : this._errHandler.recoverInline(this); + } catch (n) { + if (n instanceof Sr) + e.exception = n, this._errHandler.reportError(this, n), this._errHandler.recover(this, n); + else + throw n; + } finally { + this.exitRule(); + } + return e; + }; + sempred = function(e, r, n) { + switch (r) { + case 15: + return this.exp_sempred(e, n); + default: + throw "No predicate with index:" + r; + } + }; + exp_sempred = function(e, r) { + switch (r) { + case 0: + return this.precpred(this._ctx, 6); + case 1: + return this.precpred(this._ctx, 5); + case 2: + return this.precpred(this._ctx, 4); + default: + throw "No predicate with index:" + r; + } + }; + qop = function() { + var e = new Ng(this, this._ctx, this.state); + this.enterRule(e, 16, Y.RULE_qop); + try { + switch (this.state = 152, this._errHandler.sync(this), this._input.LA(1)) { + case Y.T__19: + case Y.T__20: + case Y.ID: + this.enterOuterAlt(e, 1), this.state = 141, this.uop(); + break; + case Y.T__16: + this.enterOuterAlt(e, 2), this.state = 142, this.match(Y.T__16), this.state = 143, this.argument(), this.state = 144, this.match(Y.T__17), this.state = 145, this.argument(), this.state = 146, this.match(Y.T__2); + break; + case Y.T__18: + this.enterOuterAlt(e, 3), this.state = 148, this.match(Y.T__18), this.state = 149, this.argument(), this.state = 150, this.match(Y.T__2); + break; + default: + throw new NoViableAltException(this); + } + } catch (r) { + if (r instanceof Sr) + e.exception = r, this._errHandler.reportError(this, r), this._errHandler.recover(this, r); + else + throw r; + } finally { + this.exitRule(); + } + return e; + }; + exp = function(e) { + e === void 0 && (e = 0); + var r = this._ctx, n = this.state, a = new ci(this, this._ctx, n), s = a, o = 30; + this.enterRecursionRule(a, 30, Y.RULE_exp, e); + var p = 0; + try { + this.enterOuterAlt(a, 1), this.state = 281, this._errHandler.sync(this); + var u = this._interp.adaptivePredict(this._input, 20, this._ctx); + switch (u) { + case 1: + this.state = 263, this._errHandler.sync(this), p = this._input.LA(1), (p === Y.T__25 || p === Y.T__26) && (this.state = 262, p = this._input.LA(1), p === Y.T__25 || p === Y.T__26 ? (this._errHandler.reportMatch(this), this.consume()) : this._errHandler.recoverInline(this)), this.state = 265, this.match(Y.T__3), this.state = 266, this.exp(0), this.state = 267, this.match(Y.T__4); + break; + case 2: + this.state = 270, this._errHandler.sync(this), p = this._input.LA(1), (p === Y.T__25 || p === Y.T__26) && (this.state = 269, p = this._input.LA(1), p === Y.T__25 || p === Y.T__26 ? (this._errHandler.reportMatch(this), this.consume()) : this._errHandler.recoverInline(this)), this.state = 272, this.unaryop(), this.state = 273, this.match(Y.T__3), this.state = 274, this.exp(0), this.state = 275, this.match(Y.T__4); + break; + case 3: + this.state = 278, this._errHandler.sync(this), p = this._input.LA(1), (p === Y.T__25 || p === Y.T__26) && (this.state = 277, p = this._input.LA(1), p === Y.T__25 || p === Y.T__26 ? (this._errHandler.reportMatch(this), this.consume()) : this._errHandler.recoverInline(this)), this.state = 280, this.atom(); + break; + } + this._ctx.stop = this._input.LT(-1), this.state = 294, this._errHandler.sync(this); + for (var f = this._interp.adaptivePredict(this._input, 22, this._ctx); f != 2 && f != ra.INVALID_ALT_NUMBER; ) { + if (f === 1) { + this._parseListeners !== null && this.triggerExitRuleEvent(), s = a, this.state = 292, this._errHandler.sync(this); + var u = this._interp.adaptivePredict(this._input, 21, this._ctx); + switch (u) { + case 1: + if (a = new ci(this, r, n), this.pushNewRecursionContext(a, o, Y.RULE_exp), this.state = 283, !this.precpred(this._ctx, 6)) + throw new FailedPredicateException(this, "this.precpred(this._ctx, 6)"); + this.state = 284, this.match(Y.T__22), this.state = 285, this.exp(7); + break; + case 2: + if (a = new ci(this, r, n), this.pushNewRecursionContext(a, o, Y.RULE_exp), this.state = 286, !this.precpred(this._ctx, 5)) + throw new FailedPredicateException(this, "this.precpred(this._ctx, 5)"); + this.state = 287, p = this._input.LA(1), p === Y.T__23 || p === Y.T__24 ? (this._errHandler.reportMatch(this), this.consume()) : this._errHandler.recoverInline(this), this.state = 288, this.exp(6); + break; + case 3: + if (a = new ci(this, r, n), this.pushNewRecursionContext(a, o, Y.RULE_exp), this.state = 289, !this.precpred(this._ctx, 4)) + throw new FailedPredicateException(this, "this.precpred(this._ctx, 4)"); + this.state = 290, p = this._input.LA(1), p === Y.T__25 || p === Y.T__26 ? (this._errHandler.reportMatch(this), this.consume()) : this._errHandler.recoverInline(this), this.state = 291, this.exp(5); + break; + } + } + this.state = 296, this._errHandler.sync(this), f = this._interp.adaptivePredict(this._input, 22, this._ctx); + } + } catch (l) { + if (l instanceof Sr) + a.exception = l, this._errHandler.reportError(this, l), this._errHandler.recover(this, l); + else + throw l; + } finally { + this.unrollRecursionContexts(r); + } + return a; + }; + statement = function() { + var e = new bu(this, this._ctx, this.state); + this.enterRule(e, 2, Y.RULE_statement); + try { + this.state = 84, this._errHandler.sync(this); + var r = this._interp.adaptivePredict(this._input, 1, this._ctx); + switch (r) { + case 1: + this.enterOuterAlt(e, 1), this.state = 43, this.decl(); + break; + case 2: + this.enterOuterAlt(e, 2), this.state = 44, this.gatedecl(), this.state = 45, this.goplist(), this.state = 46, this.match(Y.T__0); + break; + case 3: + this.enterOuterAlt(e, 3), this.state = 48, this.gatedecl(), this.state = 49, this.match(Y.T__0); + break; + case 4: + this.enterOuterAlt(e, 4), this.state = 51, this.match(Y.T__1), this.state = 52, this.match(Y.ID), this.state = 53, this.idlist(), this.state = 54, this.match(Y.T__2); + break; + case 5: + this.enterOuterAlt(e, 5), this.state = 56, this.match(Y.T__1), this.state = 57, this.match(Y.ID), this.state = 58, this.match(Y.T__3), this.state = 59, this.match(Y.T__4), this.state = 60, this.idlist(), this.state = 61, this.match(Y.T__2); + break; + case 6: + this.enterOuterAlt(e, 6), this.state = 63, this.match(Y.T__1), this.state = 64, this.match(Y.ID), this.state = 65, this.match(Y.T__3), this.state = 66, this.idlist(), this.state = 67, this.match(Y.T__4), this.state = 68, this.idlist(), this.state = 69, this.match(Y.T__2); + break; + case 7: + this.enterOuterAlt(e, 7), this.state = 71, this.qop(); + break; + case 8: + this.enterOuterAlt(e, 8), this.state = 72, this.match(Y.T__5), this.state = 73, this.match(Y.T__3), this.state = 74, this.match(Y.ID), this.state = 75, this.match(Y.T__6), this.state = 76, this.match(Y.INT), this.state = 77, this.match(Y.T__4), this.state = 78, this.qop(); + break; + case 9: + this.enterOuterAlt(e, 9), this.state = 79, this.match(Y.T__7), this.state = 80, this.anylist(), this.state = 81, this.match(Y.T__2); + break; + case 10: + this.enterOuterAlt(e, 10), this.state = 83, this.include(); + break; + } + } catch (n) { + if (n instanceof Sr) + e.exception = n, this._errHandler.reportError(this, n), this._errHandler.recover(this, n); + else + throw n; + } finally { + this.exitRule(); + } + return e; + }; +} +Object.defineProperty(Y.prototype, "atn", { + get: function() { + return dg; + } +}); +Y.EOF = SS.EOF; +Y.T__0 = 1; +Y.T__1 = 2; +Y.T__2 = 3; +Y.T__3 = 4; +Y.T__4 = 5; +Y.T__5 = 6; +Y.T__6 = 7; +Y.T__7 = 8; +Y.T__8 = 9; +Y.T__9 = 10; +Y.T__10 = 11; +Y.T__11 = 12; +Y.T__12 = 13; +Y.T__13 = 14; +Y.T__14 = 15; +Y.T__15 = 16; +Y.T__16 = 17; +Y.T__17 = 18; +Y.T__18 = 19; +Y.T__19 = 20; +Y.T__20 = 21; +Y.T__21 = 22; +Y.T__22 = 23; +Y.T__23 = 24; +Y.T__24 = 25; +Y.T__25 = 26; +Y.T__26 = 27; +Y.T__27 = 28; +Y.T__28 = 29; +Y.T__29 = 30; +Y.T__30 = 31; +Y.T__31 = 32; +Y.T__32 = 33; +Y.PI = 34; +Y.REAL = 35; +Y.SUBREAL = 36; +Y.EXPREAL = 37; +Y.INT = 38; +Y.ID = 39; +Y.WS = 40; +Y.FILENAME = 41; +Y.COMMENT = 42; +Y.LINE_COMMENT = 43; +Y.RULE_mainprog = 0; +Y.RULE_statement = 1; +Y.RULE_version = 2; +Y.RULE_include = 3; +Y.RULE_filename = 4; +Y.RULE_decl = 5; +Y.RULE_gatedecl = 6; +Y.RULE_goplist = 7; +Y.RULE_qop = 8; +Y.RULE_uop = 9; +Y.RULE_anylist = 10; +Y.RULE_idlist = 11; +Y.RULE_mixedlist = 12; +Y.RULE_argument = 13; +Y.RULE_explist = 14; +Y.RULE_exp = 15; +Y.RULE_atom = 16; +Y.RULE_unaryop = 17; +class CS extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.contextType = "MainprogContext", this.parser = e, this.ruleIndex = Y.RULE_mainprog; + } + version = function() { + return this.getTypedRuleContext(vg, 0); + }; + statement = function(e) { + return e === void 0 && (e = null), e === null ? this.getTypedRuleContexts(bu) : this.getTypedRuleContext(bu, e); + }; + enterRule = function(e) { + e instanceof Mt && e.enterMainprog(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitMainprog(this); + }; +} +Y.MainprogContext = CS; +Y.prototype.mainprog = function() { + var t = new CS(this, this._ctx, this.state); + this.enterRule(t, 0, Y.RULE_mainprog); + var e = 0; + try { + for (this.enterOuterAlt(t, 1), this.state = 36, this.version(), this.state = 40, this._errHandler.sync(this), e = this._input.LA(1); !(e & -32) && 1 << e & (1 << Y.T__1 | 1 << Y.T__5 | 1 << Y.T__7 | 1 << Y.T__9 | 1 << Y.T__10 | 1 << Y.T__13 | 1 << Y.T__14 | 1 << Y.T__16 | 1 << Y.T__18 | 1 << Y.T__19 | 1 << Y.T__20) || e === Y.ID; ) + this.state = 37, this.statement(), this.state = 42, this._errHandler.sync(this), e = this._input.LA(1); + } catch (r) { + if (r instanceof Sr) + t.exception = r, this._errHandler.reportError(this, r), this._errHandler.recover(this, r); + else + throw r; + } finally { + this.exitRule(); + } + return t; +}; +class bu extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_statement; + } + decl = function() { + return this.getTypedRuleContext(xg, 0); + }; + gatedecl = function() { + return this.getTypedRuleContext(bg, 0); + }; + goplist = function() { + return this.getTypedRuleContext(wg, 0); + }; + ID = function() { + return this.getToken(Y.ID, 0); + }; + idlist = function(e) { + return e === void 0 && (e = null), e === null ? this.getTypedRuleContexts(mi) : this.getTypedRuleContext(mi, e); + }; + qop = function() { + return this.getTypedRuleContext(Ng, 0); + }; + INT = function() { + return this.getToken(Y.INT, 0); + }; + anylist = function() { + return this.getTypedRuleContext(Em, 0); + }; + include = function() { + return this.getTypedRuleContext(gg, 0); + }; + enterRule = function(e) { + e instanceof Mt && e.enterStatement(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitStatement(this); + }; +} +Y.StatementContext = bu; +class vg extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.contextType = "VersionContext", this.parser = e, this.ruleIndex = Y.RULE_version; + } + REAL = function() { + return this.getToken(Y.REAL, 0); + }; + enterRule = function(e) { + e instanceof Mt && e.enterVersion(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitVersion(this); + }; +} +Y.VersionContext = vg; +Y.prototype.version = function() { + var t = new vg(this, this._ctx, this.state); + this.enterRule(t, 4, Y.RULE_version); + try { + this.enterOuterAlt(t, 1), this.state = 86, this.match(Y.T__8), this.state = 87, this.match(Y.REAL), this.state = 88, this.match(Y.T__2); + } catch (e) { + if (e instanceof Sr) + t.exception = e, this._errHandler.reportError(this, e), this._errHandler.recover(this, e); + else + throw e; + } finally { + this.exitRule(); + } + return t; +}; +class gg extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_include; + } + filename = function() { + return this.getTypedRuleContext(yg, 0); + }; + enterRule = function(e) { + e instanceof Mt && e.enterInclude(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitInclude(this); + }; +} +Y.IncludeContext = gg; +Y.prototype.include = function() { + var t = new gg(this, this._ctx, this.state); + this.enterRule(t, 6, Y.RULE_include); + try { + this.enterOuterAlt(t, 1), this.state = 90, this.match(Y.T__9), this.state = 91, this.filename(), this.state = 92, this.match(Y.T__2); + } catch (e) { + if (e instanceof Sr) + t.exception = e, this._errHandler.reportError(this, e), this._errHandler.recover(this, e); + else + throw e; + } finally { + this.exitRule(); + } + return t; +}; +class yg extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_filename; + } + FILENAME = function() { + return this.getToken(Y.FILENAME, 0); + }; + enterRule = function(e) { + e instanceof Mt && e.enterFilename(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitFilename(this); + }; +} +Y.FilenameContext = yg; +Y.prototype.filename = function() { + var t = new yg(this, this._ctx, this.state); + this.enterRule(t, 8, Y.RULE_filename); + try { + this.enterOuterAlt(t, 1), this.state = 94, this.match(Y.FILENAME); + } catch (e) { + if (e instanceof Sr) + t.exception = e, this._errHandler.reportError(this, e), this._errHandler.recover(this, e); + else + throw e; + } finally { + this.exitRule(); + } + return t; +}; +class xg extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_decl; + } + ID = function() { + return this.getToken(Y.ID, 0); + }; + INT = function() { + return this.getToken(Y.INT, 0); + }; + enterRule = function(e) { + e instanceof Mt && e.enterDecl(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitDecl(this); + }; +} +Y.DeclContext = xg; +Y.prototype.decl = function() { + var t = new xg(this, this._ctx, this.state); + this.enterRule(t, 10, Y.RULE_decl); + try { + switch (this.state = 108, this._errHandler.sync(this), this._input.LA(1)) { + case Y.T__10: + this.enterOuterAlt(t, 1), this.state = 96, this.match(Y.T__10), this.state = 97, this.match(Y.ID), this.state = 98, this.match(Y.T__11), this.state = 99, this.match(Y.INT), this.state = 100, this.match(Y.T__12), this.state = 101, this.match(Y.T__2); + break; + case Y.T__13: + this.enterOuterAlt(t, 2), this.state = 102, this.match(Y.T__13), this.state = 103, this.match(Y.ID), this.state = 104, this.match(Y.T__11), this.state = 105, this.match(Y.INT), this.state = 106, this.match(Y.T__12), this.state = 107, this.match(Y.T__2); + break; + default: + throw new NoViableAltException(this); } - return n; - }, b = function(a) { - this.basicGates = { - id: { - description: "Single qubit identity gate", - matrix: [ - [1, 0], - [0, 1] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "ID" - }, - exportInfo: { - quil: { - name: "I" - }, - cirq: { - name: "I", - notTfqSupported: !0 - }, - quest: { - name: "compactUnitary", - params: { - alpha: "(Complex) { .real = 1, .imag = 0 }", - beta: "(Complex) {.real = 0, .imag = 0}" + } catch (e) { + if (e instanceof Sr) + t.exception = e, this._errHandler.reportError(this, e), this._errHandler.recover(this, e); + else + throw e; + } finally { + this.exitRule(); + } + return t; +}; +class bg extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_gatedecl; + } + ID = function() { + return this.getToken(Y.ID, 0); + }; + idlist = function(e) { + return e === void 0 && (e = null), e === null ? this.getTypedRuleContexts(mi) : this.getTypedRuleContext(mi, e); + }; + enterRule = function(e) { + e instanceof Mt && e.enterGatedecl(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitGatedecl(this); + }; +} +Y.GatedeclContext = bg; +Y.prototype.gatedecl = function() { + var t = new bg(this, this._ctx, this.state); + this.enterRule(t, 12, Y.RULE_gatedecl); + try { + this.state = 130, this._errHandler.sync(this); + var e = this._interp.adaptivePredict(this._input, 3, this._ctx); + switch (e) { + case 1: + this.enterOuterAlt(t, 1), this.state = 110, this.match(Y.T__14), this.state = 111, this.match(Y.ID), this.state = 112, this.idlist(), this.state = 113, this.match(Y.T__15); + break; + case 2: + this.enterOuterAlt(t, 2), this.state = 115, this.match(Y.T__14), this.state = 116, this.match(Y.ID), this.state = 117, this.match(Y.T__3), this.state = 118, this.match(Y.T__4), this.state = 119, this.idlist(), this.state = 120, this.match(Y.T__15); + break; + case 3: + this.enterOuterAlt(t, 3), this.state = 122, this.match(Y.T__14), this.state = 123, this.match(Y.ID), this.state = 124, this.match(Y.T__3), this.state = 125, this.idlist(), this.state = 126, this.match(Y.T__4), this.state = 127, this.idlist(), this.state = 128, this.match(Y.T__15); + break; + } + } catch (r) { + if (r instanceof Sr) + t.exception = r, this._errHandler.reportError(this, r), this._errHandler.recover(this, r); + else + throw r; + } finally { + this.exitRule(); + } + return t; +}; +class wg extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_goplist; + } + uop = function(e) { + return e === void 0 && (e = null), e === null ? this.getTypedRuleContexts(Ps) : this.getTypedRuleContext(Ps, e); + }; + idlist = function(e) { + return e === void 0 && (e = null), e === null ? this.getTypedRuleContexts(mi) : this.getTypedRuleContext(mi, e); + }; + enterRule = function(e) { + e instanceof Mt && e.enterGoplist(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitGoplist(this); + }; +} +Y.GoplistContext = wg; +Y.prototype.goplist = function() { + var t = new wg(this, this._ctx, this.state); + this.enterRule(t, 14, Y.RULE_goplist); + var e = 0; + try { + this.enterOuterAlt(t, 1), this.state = 137, this._errHandler.sync(this), e = this._input.LA(1); + do { + switch (this.state = 137, this._errHandler.sync(this), this._input.LA(1)) { + case Y.T__19: + case Y.T__20: + case Y.ID: + this.state = 132, this.uop(); + break; + case Y.T__7: + this.state = 133, this.match(Y.T__7), this.state = 134, this.idlist(), this.state = 135, this.match(Y.T__2); + break; + default: + throw new NoViableAltException(this); + } + this.state = 139, this._errHandler.sync(this), e = this._input.LA(1); + } while (!(e - 8 & -32) && 1 << e - 8 & (1 << Y.T__7 - 8 | 1 << Y.T__19 - 8 | 1 << Y.T__20 - 8 | 1 << Y.ID - 8)); + } catch (r) { + if (r instanceof Sr) + t.exception = r, this._errHandler.reportError(this, r), this._errHandler.recover(this, r); + else + throw r; + } finally { + this.exitRule(); + } + return t; +}; +class Ng extends Mr { + constructor(e, r, n) { + return r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_qop, this; + } + uop = function() { + return this.getTypedRuleContext(Ps, 0); + }; + argument = function(e) { + return e === void 0 && (e = null), e === null ? this.getTypedRuleContexts(Qa) : this.getTypedRuleContext(Qa, e); + }; + enterRule = function(e) { + e instanceof Mt && e.enterQop(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitQop(this); + }; +} +Y.QopContext = Ng; +class Ps extends Mr { + constructor(e, r, n) { + return r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_uop, this; + } + explist = function() { + return this.getTypedRuleContext(Ag, 0); + }; + argument = function(e) { + return e === void 0 && (e = null), e === null ? this.getTypedRuleContexts(Qa) : this.getTypedRuleContext(Qa, e); + }; + ID = function() { + return this.getToken(Y.ID, 0); + }; + anylist = function() { + return this.getTypedRuleContext(Em, 0); + }; + enterRule = function(e) { + e instanceof Mt && e.enterUop(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitUop(this); + }; +} +Y.UopContext = Ps; +Y.prototype.uop = function() { + var t = new Ps(this, this._ctx, this.state); + this.enterRule(t, 18, Y.RULE_uop); + try { + this.state = 184, this._errHandler.sync(this); + var e = this._interp.adaptivePredict(this._input, 7, this._ctx); + switch (e) { + case 1: + this.enterOuterAlt(t, 1), this.state = 154, this.match(Y.T__19), this.state = 155, this.match(Y.T__3), this.state = 156, this.explist(), this.state = 157, this.match(Y.T__4), this.state = 158, this.argument(), this.state = 159, this.match(Y.T__2); + break; + case 2: + this.enterOuterAlt(t, 2), this.state = 161, this.match(Y.T__20), this.state = 162, this.argument(), this.state = 163, this.match(Y.T__21), this.state = 164, this.argument(), this.state = 165, this.match(Y.T__2); + break; + case 3: + this.enterOuterAlt(t, 3), this.state = 167, this.match(Y.ID), this.state = 168, this.anylist(), this.state = 169, this.match(Y.T__2); + break; + case 4: + this.enterOuterAlt(t, 4), this.state = 171, this.match(Y.ID), this.state = 172, this.match(Y.T__3), this.state = 173, this.match(Y.T__4), this.state = 174, this.anylist(), this.state = 175, this.match(Y.T__2); + break; + case 5: + this.enterOuterAlt(t, 5), this.state = 177, this.match(Y.ID), this.state = 178, this.match(Y.T__3), this.state = 179, this.explist(), this.state = 180, this.match(Y.T__4), this.state = 181, this.anylist(), this.state = 182, this.match(Y.T__2); + break; + } + } catch (r) { + if (r instanceof Sr) + t.exception = r, this._errHandler.reportError(this, r), this._errHandler.recover(this, r); + else + throw r; + } finally { + this.exitRule(); + } + return t; +}; +class Em extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_anylist; + } + idlist = function() { + return this.getTypedRuleContext(mi, 0); + }; + mixedlist = function() { + return this.getTypedRuleContext(Dg, 0); + }; + enterRule = function(e) { + e instanceof Mt && e.enterAnylist(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitAnylist(this); + }; +} +Y.AnylistContext = Em; +Y.prototype.anylist = function() { + var t = new Em(this, this._ctx, this.state); + this.enterRule(t, 20, Y.RULE_anylist); + try { + this.state = 188, this._errHandler.sync(this); + var e = this._interp.adaptivePredict(this._input, 8, this._ctx); + switch (e) { + case 1: + this.enterOuterAlt(t, 1), this.state = 186, this.idlist(); + break; + case 2: + this.enterOuterAlt(t, 2), this.state = 187, this.mixedlist(); + break; + } + } catch (r) { + if (r instanceof Sr) + t.exception = r, this._errHandler.reportError(this, r), this._errHandler.recover(this, r); + else + throw r; + } finally { + this.exitRule(); + } + return t; +}; +class mi extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_idlist; + } + ID = function(e) { + return e === void 0 && (e = null), e === null ? this.getTokens(Y.ID) : this.getToken(Y.ID, e); + }; + enterRule = function(e) { + e instanceof Mt && e.enterIdlist(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitIdlist(this); + }; +} +Y.IdlistContext = mi; +Y.prototype.idlist = function() { + var t = new mi(this, this._ctx, this.state); + this.enterRule(t, 22, Y.RULE_idlist); + try { + this.enterOuterAlt(t, 1), this.state = 194, this._errHandler.sync(this); + for (var e = this._interp.adaptivePredict(this._input, 9, this._ctx); e !== 2 && e !== ra.INVALID_ALT_NUMBER; ) + e === 1 && (this.state = 190, this.match(Y.ID), this.state = 191, this.match(Y.T__21)), this.state = 196, this._errHandler.sync(this), e = this._interp.adaptivePredict(this._input, 9, this._ctx); + this.state = 197, this.match(Y.ID); + } catch (r) { + if (r instanceof Sr) + t.exception = r, this._errHandler.reportError(this, r), this._errHandler.recover(this, r); + else + throw r; + } finally { + this.exitRule(); + } + return t; +}; +class Dg extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_mixedlist; + } + ID = function(e) { + return e === void 0 && (e = null), e === null ? this.getTokens(Y.ID) : this.getToken(Y.ID, e); + }; + INT = function(e) { + return e === void 0 && (e = null), e === null ? this.getTokens(Y.INT) : this.getToken(Y.INT, e); + }; + enterRule = function(e) { + e instanceof Mt && e.enterMixedlist(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitMixedlist(this); + }; +} +Y.MixedlistContext = Dg; +Y.prototype.mixedlist = function() { + var t = new Dg(this, this._ctx, this.state); + this.enterRule(t, 24, Y.RULE_mixedlist); + try { + this.state = 242, this._errHandler.sync(this); + var e = this._interp.adaptivePredict(this._input, 14, this._ctx); + switch (e) { + case 1: + this.enterOuterAlt(t, 1), this.state = 206, this._errHandler.sync(this); + for (var r = this._interp.adaptivePredict(this._input, 10, this._ctx); r !== 2 && r !== ra.INVALID_ALT_NUMBER; ) + r === 1 && (this.state = 199, this.match(Y.ID), this.state = 200, this.match(Y.T__11), this.state = 201, this.match(Y.INT), this.state = 202, this.match(Y.T__12), this.state = 203, this.match(Y.T__21)), this.state = 208, this._errHandler.sync(this), r = this._interp.adaptivePredict(this._input, 10, this._ctx); + this.state = 209, this.match(Y.ID); + break; + case 2: + this.enterOuterAlt(t, 2), this.state = 217, this._errHandler.sync(this); + for (var r = this._interp.adaptivePredict(this._input, 11, this._ctx); r != 2 && r != ra.INVALID_ALT_NUMBER; ) + r === 1 && (this.state = 210, this.match(Y.ID), this.state = 211, this.match(Y.T__11), this.state = 212, this.match(Y.INT), this.state = 213, this.match(Y.T__12), this.state = 214, this.match(Y.T__21)), this.state = 219, this._errHandler.sync(this), r = this._interp.adaptivePredict(this._input, 11, this._ctx); + this.state = 220, this.match(Y.ID), this.state = 221, this.match(Y.T__11), this.state = 222, this.match(Y.INT), this.state = 223, this.match(Y.T__12); + break; + case 3: + this.enterOuterAlt(t, 3), this.state = 235, this._errHandler.sync(this); + for (var r = this._interp.adaptivePredict(this._input, 13, this._ctx); r != 2 && r != ra.INVALID_ALT_NUMBER; ) { + if (r === 1) { + this.state = 228, this._errHandler.sync(this); + for (var r = this._interp.adaptivePredict(this._input, 12, this._ctx); r != 2 && r != ra.INVALID_ALT_NUMBER; ) + r === 1 && (this.state = 224, this.match(Y.ID), this.state = 225, this.match(Y.T__21)), this.state = 230, this._errHandler.sync(this), r = this._interp.adaptivePredict(this._input, 12, this._ctx); + this.state = 231, this.match(Y.ID), this.state = 232, this.match(Y.T__21); + } + this.state = 237, this._errHandler.sync(this), r = this._interp.adaptivePredict(this._input, 13, this._ctx); + } + this.state = 238, this.match(Y.ID), this.state = 239, this.match(Y.T__11), this.state = 240, this.match(Y.INT), this.state = 241, this.match(Y.T__12); + break; + } + } catch (n) { + if (n instanceof Sr) + t.exception = n, this._errHandler.reportError(this, n), this._errHandler.recover(this, n); + else + throw n; + } finally { + this.exitRule(); + } + return t; +}; +class Qa extends Mr { + constructor(e, r, n) { + return r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_argument, this; + } + ID = function() { + return this.getToken(Y.ID, 0); + }; + INT = function() { + return this.getToken(Y.INT, 0); + }; + enterRule = function(e) { + e instanceof Mt && e.enterArgument(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitArgument(this); + }; +} +Y.ArgumentContext = Qa; +Y.prototype.argument = function() { + var t = new Qa(this, this._ctx, this.state); + this.enterRule(t, 26, Y.RULE_argument); + try { + this.state = 249, this._errHandler.sync(this); + var e = this._interp.adaptivePredict(this._input, 15, this._ctx); + switch (e) { + case 1: + this.enterOuterAlt(t, 1), this.state = 244, this.match(Y.ID); + break; + case 2: + this.enterOuterAlt(t, 2), this.state = 245, this.match(Y.ID), this.state = 246, this.match(Y.T__11), this.state = 247, this.match(Y.INT), this.state = 248, this.match(Y.T__12); + break; + } + } catch (r) { + if (r instanceof Sr) + t.exception = r, this._errHandler.reportError(this, r), this._errHandler.recover(this, r); + else + throw r; + } finally { + this.exitRule(); + } + return t; +}; +class Ag extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_explist; + } + exp = function(e) { + return e === void 0 && (e = null), e === null ? this.getTypedRuleContexts(ci) : this.getTypedRuleContext(ci, e); + }; + enterRule = function(e) { + e instanceof Mt && e.enterExplist(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitExplist(this); + }; +} +Y.ExplistContext = Ag; +Y.prototype.explist = function() { + var t = new Ag(this, this._ctx, this.state); + this.enterRule(t, 28, Y.RULE_explist); + try { + this.enterOuterAlt(t, 1), this.state = 256, this._errHandler.sync(this); + for (var e = this._interp.adaptivePredict(this._input, 16, this._ctx); e != 2 && e != ra.INVALID_ALT_NUMBER; ) + e === 1 && (this.state = 251, this.exp(0), this.state = 252, this.match(Y.T__21)), this.state = 258, this._errHandler.sync(this), e = this._interp.adaptivePredict(this._input, 16, this._ctx); + this.state = 259, this.exp(0); + } catch (r) { + if (r instanceof Sr) + t.exception = r, this._errHandler.reportError(this, r), this._errHandler.recover(this, r); + else + throw r; + } finally { + this.exitRule(); + } + return t; +}; +class ci extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_exp; + } + exp = function(e) { + return e === void 0 && (e = null), e === null ? this.getTypedRuleContexts(ci) : this.getTypedRuleContext(ci, e); + }; + unaryop = function() { + return this.getTypedRuleContext(Sg, 0); + }; + atom = function() { + return this.getTypedRuleContext(Eg, 0); + }; + enterRule = function(e) { + e instanceof Mt && e.enterExp(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitExp(this); + }; +} +class Eg extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_atom; + } + INT = function() { + return this.getToken(Y.INT, 0); + }; + REAL = function() { + return this.getToken(Y.REAL, 0); + }; + PI = function() { + return this.getToken(Y.PI, 0); + }; + ID = function() { + return this.getToken(Y.ID, 0); + }; + enterRule = function(e) { + e instanceof Mt && e.enterAtom(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitAtom(this); + }; +} +Y.AtomContext = Eg; +Y.prototype.atom = function() { + var t = new Eg(this, this._ctx, this.state); + this.enterRule(t, 32, Y.RULE_atom); + var e = 0; + try { + this.enterOuterAlt(t, 1), this.state = 297, e = this._input.LA(1), !(e - 34 & -32) && 1 << e - 34 & (1 << Y.PI - 34 | 1 << Y.REAL - 34 | 1 << Y.INT - 34 | 1 << Y.ID - 34) ? (this._errHandler.reportMatch(this), this.consume()) : this._errHandler.recoverInline(this); + } catch (r) { + if (r instanceof Sr) + t.exception = r, this._errHandler.reportError(this, r), this._errHandler.recover(this, r); + else + throw r; + } finally { + this.exitRule(); + } + return t; +}; +class Sg extends Mr { + constructor(e, r, n) { + r === void 0 && (r = null), n == null && (n = -1), super(r, n), this.parser = e, this.ruleIndex = Y.RULE_unaryop; + } + enterRule = function(e) { + e instanceof Mt && e.enterUnaryop(this); + }; + exitRule = function(e) { + e instanceof Mt && e.exitUnaryop(this); + }; +} +Y.UnaryopContext = Sg; +/** + * @license + * + * Copyright (c) 2016, Petar Korponaić + * + * This source code is licensed under the MIT License, found in + * the LICENSE.txt file in the root directory of this source tree. + */ +var wu = function(t) { + return hg.call(this), this.errors = t, this; +}; +wu.prototype = Object.create(wu.prototype); +wu.prototype.constructor = hg; +wu.prototype.syntaxError = function(t, e, r, n, a, s) { + this.errors.push({ + line: r, + col: n, + msg: a + }); +}; +class Ak extends Mt { + constructor(e, r) { + super(), this.circuit = e, this.qregMap = {}, this.condition = {}, this.compatibilityMode = r; + } + numQbit = function() { + var e = 0; + for (var r in this.qregMap) + e += this.qregMap[r]; + return e; + }; + qregBase = function(e) { + var r = 0; + for (var n in this.qregMap) { + if (n == e) + return r; + r += this.qregMap[n]; + } + return r; + }; + qregLen = function(e) { + return this.qregMap[e] || 0; + }; + // Enter a parse tree produced by QASMParser#mainprog. + enterMainprog = function(e) { + }; + // Exit a parse tree produced by QASMParser#mainprog. + exitMainprog = function(e) { + }; + // Enter a parse tree produced by QASMParser#statement. + enterStatement = function(e) { + var r = this, n = e.getChildCount() ? e.getChild(0).getText() : ""; + if (n == "if" && (this.condition = { + creg: e.ID().getText(), + value: parseInt(e.INT().getText()) + }), e.gatedecl()) { + var a = e.gatedecl(), s = [], o = [], p = a.getChildCount(); + p > 2 && a.getChild(2).ID ? s = a.getChild(2).ID() : (p > 3 && a.getChild(3).ID && (o = a.getChild(3).ID()), p > 5 && a.getChild(5).ID && (s = a.getChild(5).ID())); + var u = Object.getPrototypeOf(this.circuit), f = new u.constructor(s.length), l = a.ID().getText(), c = []; + if (s.map(function(d) { + c.push(d.getText()); + }), o.map(function(d) { + var g = d.getText(); + f.params.push(g); + }), e.goplist()) { + var h = e.goplist(); + h.uop().map(function(d) { + var g = d.ID() ? d.ID().getText() : ""; + if (g) { + var v = d.anylist() ? d.anylist().idlist() : null; + d.anylist() && d.anylist().mixedlist(); + var N = d.explist(); + switch (g) { + case "CX": + g = "cx"; + break; + case "U": + g = "u3"; + break; + } + if (!r.circuit.basicGates[g] && !r.circuit.customGates[g]) + for (var b in r.circuit.basicGates) { + var C = r.circuit.basicGates[b]; + if (C.exportInfo && C.exportInfo.qasm && C.exportInfo.qasm.name && C.exportInfo.qasm.name == g) { + g = b; + break; + } + if (C.exportInfo && C.exportInfo.qiskit && C.exportInfo.qiskit.name && C.exportInfo.qiskit.name == g) { + g = b; + break; + } + } + var x = {}; + if (N && N.exp()) { + var E = r.circuit.basicGates[g]; + if (E || (E = r.circuit.customGates[g]), E) { + var D = N.exp(), A = E.params || []; + D.map(function(q, $) { + var U = q.getText(), k = A.length >= $ ? A[$] : ""; + k && (x[k] = U); + }); + } } - }, - qsharp: { - name: "I" - }, - qiskit: { - name: "id" - }, - braket: { - name: "i" - }, - aqasm: { - name: "I" - } - } - }, - x: { - description: 'Pauli X (PI rotation over X-axis) aka "NOT" gate', - matrix: [ - [0, 1], - [1, 0] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "X" - }, - exportInfo: { - quil: { - name: "X" - }, - cirq: { - name: "X" - }, - quest: { - name: "pauliX" - }, - qsharp: { - name: "X" - }, - quirk: { - name: "X" - }, - braket: { - name: "x" - }, - aqasm: { - name: "X" - }, - ionq: { - names: ["x", "not"] + var M = { params: x }, _ = []; + if (v) + for (var O = v.ID().length, T = 0; T < O; T++) + _.push(c.indexOf(v.ID()[T].getText())); + var I = r.circuit.customGates[g]; + I && f.registerGate(g, JSON.parse(JSON.stringify(I))), f.addGate(g, -1, _, M); + } + }); + } + this.circuit.registerGate(l, f.save(!1)); + } + }; + // Exit a parse tree produced by QASMParser#statement. + exitStatement = function(e) { + }; + // Enter a parse tree produced by QASMParser#version. + enterVersion = function(e) { + }; + // Exit a parse tree produced by QASMParser#version. + exitVersion = function(e) { + }; + // Enter a parse tree produced by QASMParser#decl. + enterDecl = function(e) { + switch (e.getChild(0).getText()) { + case "qreg": + this.qregMap[e.getChild(1).getText()] = parseInt(e.getChild(3).getText()); + break; + case "creg": + this.circuit.createCreg(e.getChild(1).getText(), parseInt(e.getChild(3).getText())); + break; + } + }; + // Exit a parse tree produced by QASMParser#decl. + exitDecl = function(e) { + }; + // Enter a parse tree produced by QASMParser#gatedecl. + enterGatedecl = function(e) { + }; + // Exit a parse tree produced by QASMParser#gatedecl. + exitGatedecl = function(e) { + }; + // Enter a parse tree produced by QASMParser#goplist. + enterGoplist = function(e) { + }; + // Exit a parse tree produced by QASMParser#goplist. + exitGoplist = function(e) { + }; + // Enter a parse tree produced by QASMParser#qop. + enterQop = function(e) { + var r = this, n = JSON.parse(JSON.stringify(this.condition)); + this.condition = {}; + var a = e.getChildCount() ? e.getChild(0).getText() : ""; + if (a == "reset") { + for (var s = "", o = -1, p = e.argument().length, u = 0; u < p; u++) { + var f = e.argument()[u]; + u == 0 && (s = f.ID().getText(), o = f.INT() ? parseInt(f.INT().getText()) : -1); + } + if (s) { + var l = r.qregLen(s); + if (o < 0) + for (var c = 0; c < l; c++) + r.circuit.addGate("reset", -1, c + r.qregBase(s), { condition: n || {} }); + else + r.circuit.addGate("reset", -1, o + r.qregBase(s), { condition: n || {} }); + } + } + if (a == "measure") { + for (var s = "", o = -1, h = "", d = -1, p = e.argument().length, u = 0; u < p; u++) { + var f = e.argument()[u]; + u == 0 && (s = f.ID().getText(), o = f.INT() ? parseInt(f.INT().getText()) : -1), u == 1 && (h = f.ID().getText(), d = f.INT() ? parseInt(f.INT().getText()) : -1); + } + if (s && h) { + var l = r.qregLen(s); + if (o < 0 && d < 0) + for (var c = 0; c < l; c++) + r.circuit.addGate("measure", -1, c + r.qregBase(s), { creg: { name: h, bit: c }, condition: n || {} }); + else if (o >= 0 && d >= 0) + r.circuit.addGate("measure", -1, o + r.qregBase(s), { creg: { name: h, bit: d }, condition: n || {} }); + else if (o >= 0 && d < 0) + for (var c = 0; c < l; c++) + r.circuit.addGate("measure", -1, o + r.qregBase(s), { creg: { name: h, bit: c }, condition: n || {} }); + else + for (var c = 0; c < l; c++) + r.circuit.addGate("measure", -1, c + r.qregBase(s), { creg: { name: h, bit: d }, condition: n || {} }); + } + } + var g = e.uop(); + if (g && g.ID()) { + var v = g.ID().getText(), N = g.anylist() ? g.anylist().idlist() : null, b = g.anylist() ? g.anylist().mixedlist() : null, C = g.explist(); + switch (v) { + case "CX": + v = "cx"; + break; + case "U": + v = "u3"; + break; + } + if (!r.circuit.basicGates[v] && !r.circuit.customGates[v]) + for (var x in r.circuit.basicGates) { + var E = r.circuit.basicGates[x]; + if (E.exportInfo && E.exportInfo.qasm && E.exportInfo.qasm.name && E.exportInfo.qasm.name == v) { + v = x; + break; + } + if (E.exportInfo && E.exportInfo.qiskit && E.exportInfo.qiskit.name && E.exportInfo.qiskit.name == v) { + v = x; + break; + } + } + var D = {}; + if (C && C.exp()) { + var A = r.circuit.basicGates[v]; + if (A || (A = r.circuit.customGates[v]), A) { + var M = C.exp(), _ = A.params || []; + M.map(function(q, $) { + var U = q.getText(), k = _.length >= $ ? _[$] : ""; + k && (D[k] = U); + }); + } + } + var O = { params: D, condition: n || {} }; + if (N) + for (var l = r.qregLen(N.ID()[0].getText()), c = 0; c < l; c++) { + for (var T = [], p = N.ID().length, u = 0; u < p; u++) + T.push({ reg: N.ID()[u].getText(), bit: c }); + var I = []; + T.map(function(k) { + I.push(k.bit + r.qregBase(k.reg)); + }), r.circuit.addGate(v, -1, I, O); + } + if (b && b.ID().length == b.INT().length) { + for (var T = [], p = b.ID().length, u = 0; u < p; u++) + T.push({ reg: b.ID()[u].getText(), bit: parseInt(b.INT()[u].getText()) }); + var I = []; + T.map(function(k) { + I.push(k.bit + r.qregBase(k.reg)); + }), r.circuit.addGate(v, -1, I, O); + } + } + }; + // Exit a parse tree produced by QASMParser#qop. + exitQop = function(e) { + }; + // Enter a parse tree produced by QASMParser#uop. + enterUop = function(e) { + }; + // Exit a parse tree produced by QASMParser#uop. + exitUop = function(e) { + }; + // Enter a parse tree produced by QASMParser#anylist. + enterAnylist = function(e) { + }; + // Exit a parse tree produced by QASMParser#anylist. + exitAnylist = function(e) { + }; + // Enter a parse tree produced by QASMParser#idlist. + enterIdlist = function(e) { + }; + // Exit a parse tree produced by QASMParser#idlist. + exitIdlist = function(e) { + }; + // Enter a parse tree produced by QASMParser#mixedlist. + enterMixedlist = function(e) { + }; + // Exit a parse tree produced by QASMParser#mixedlist. + exitMixedlist = function(e) { + }; + // Enter a parse tree produced by QASMParser#argument. + enterArgument = function(e) { + }; + // Exit a parse tree produced by QASMParser#argument. + exitArgument = function(e) { + }; + // Enter a parse tree produced by QASMParser#explist. + enterExplist = function(e) { + }; + // Exit a parse tree produced by QASMParser#explist. + exitExplist = function(e) { + }; + // Enter a parse tree produced by QASMParser#exp. + enterExp = function(e) { + }; + // Exit a parse tree produced by QASMParser#exp. + exitExp = function(e) { + }; + // Enter a parse tree produced by QASMParser#unaryop. + enterUnaryop = function(e) { + }; + // Exit a parse tree produced by QASMParser#unaryop. + exitUnaryop = function(e) { + }; +} +const Ek = function(e, r, n, a) { + var s = new lk(r), o = new vt(s), p = new uk(o), u = new Y(p); + u.buildParseTrees = !0, u.removeErrorListeners(); + var f = [], l = new hg(f); + u.addErrorListener(l); + var c = u.mainprog(), h = new Ak(e, a); + hk.DEFAULT.walk(h, c), n && n(f); +}; +/** + * @license + * + * Copyright (c) 2016, Petar Korponaić + * + * This source code is licensed under the MIT License, found in + * the LICENSE.txt file in the root directory of this source tree. + */ +var _s = function(t, e, r) { + r = r || {}; + var n = Nu(t, r), a = JSON.parse(JSON.stringify(r)); + a.plusChar = "+"; + var s = Nu(e, a); + return n + s + (r.iotaChar ? r.iotaChar : "i"); +}, Nu = function(t, e) { + e = e || {}, e.decimalPlaces && (t = kt(t, e.decimalPlaces)); + var r = t + ""; + e.fixedWidth && (r = t.toFixed(e.decimalPlaces || 14)); + var n = e.plusChar; + return e.fixedWidth && !n && (n = " "), n && t >= 0 && (r = n + r), r; +}, Cr = function(t, e) { + maxN = e || t + 1, maxN > 0 && (maxN = maxN - 1), maxLen = maxN.toString(26).length; + for (var r = t.toString(26); r.length < maxLen; ) + r = "0" + r; + for (var n = "", a = 0; a < r.length; a++) { + var s = r.charCodeAt(a); + n += String.fromCharCode(s < 97 ? s + 49 : s + 10); + } + return n; +}; +const ge = function(e) { + this.basicGates = { + id: { + description: "Single qubit identity gate", + matrix: [ + [1, 0], + [0, 1] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "ID" + }, + exportInfo: { + quil: { + name: "I" + }, + cirq: { + name: "I", + notTfqSupported: !0 + }, + quest: { + name: "compactUnitary", + params: { + alpha: "(Complex) { .real = 1, .imag = 0 }", + beta: "(Complex) {.real = 0, .imag = 0}" } + }, + qsharp: { + name: "I" + }, + qiskit: { + name: "id" + }, + braket: { + name: "i" + }, + aqasm: { + name: "I" + } + } + }, + x: { + description: 'Pauli X (PI rotation over X-axis) aka "NOT" gate', + matrix: [ + [0, 1], + [1, 0] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "X" + }, + exportInfo: { + quil: { + name: "X" + }, + cirq: { + name: "X" + }, + quest: { + name: "pauliX" + }, + qsharp: { + name: "X" + }, + quirk: { + name: "X" + }, + braket: { + name: "x" + }, + aqasm: { + name: "X" + }, + ionq: { + names: ["x", "not"] } + } + }, + y: { + description: "Pauli Y (PI rotation over Y-axis)", + matrix: [ + [0, "-i"], + ["i", 0] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "Y" }, - y: { - description: "Pauli Y (PI rotation over Y-axis)", - matrix: [ - [0, "-i"], - ["i", 0] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "Y" - }, - exportInfo: { - quil: { - name: "Y" - }, - cirq: { - name: "Y" - }, - quest: { - name: "pauliY" - }, - qsharp: { - name: "Y" - }, - quirk: { - name: "Y" - }, - braket: { - name: "y" - }, - aqasm: { - name: "Y" - }, - ionq: { - name: "y" - } + exportInfo: { + quil: { + name: "Y" + }, + cirq: { + name: "Y" + }, + quest: { + name: "pauliY" + }, + qsharp: { + name: "Y" + }, + quirk: { + name: "Y" + }, + braket: { + name: "y" + }, + aqasm: { + name: "Y" + }, + ionq: { + name: "y" } + } + }, + z: { + description: "Pauli Z (PI rotation over Z-axis)", + matrix: [ + [1, 0], + [0, -1] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "Z" }, - z: { - description: "Pauli Z (PI rotation over Z-axis)", - matrix: [ - [1, 0], - [0, -1] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "Z" - }, - exportInfo: { - quil: { - name: "Z" - }, - cirq: { - name: "Z" - }, - quest: { - name: "pauliZ" - }, - qsharp: { - name: "Z" - }, - quirk: { - name: "Z" - }, - braket: { - name: "z" - }, - aqasm: { - name: "Z" - }, - ionq: { - name: "z" - } + exportInfo: { + quil: { + name: "Z" + }, + cirq: { + name: "Z" + }, + quest: { + name: "pauliZ" + }, + qsharp: { + name: "Z" + }, + quirk: { + name: "Z" + }, + braket: { + name: "z" + }, + aqasm: { + name: "Z" + }, + ionq: { + name: "z" } + } + }, + h: { + description: "Hadamard gate", + matrix: [ + ["1 / sqrt(2)", "1 / sqrt(2)"], + ["1 / sqrt(2)", "-1 / sqrt(2)"] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "H" }, - h: { - description: "Hadamard gate", - matrix: [ - ["1 / sqrt(2)", "1 / sqrt(2)"], - ["1 / sqrt(2)", "-1 / sqrt(2)"] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "H" - }, - exportInfo: { - quil: { - name: "H" - }, - cirq: { - name: "H" - }, - quest: { - name: "hadamard" - }, - qsharp: { - name: "H" - }, - quirk: { - name: "H" - }, - braket: { - name: "h" - }, - aqasm: { - name: "H" - }, - ionq: { - name: "h" - } - } - }, - srn: { - description: "Square root of NOT", - matrix: [ - ["0.5+0.5i", "0.5-0.5i"], - ["0.5-0.5i", "0.5+0.5i"] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "√X" - }, - exportInfo: { - quil: { - name: "srn", - defgate: `DEFGATE srn: + exportInfo: { + quil: { + name: "H" + }, + cirq: { + name: "H" + }, + quest: { + name: "hadamard" + }, + qsharp: { + name: "H" + }, + quirk: { + name: "H" + }, + braket: { + name: "h" + }, + aqasm: { + name: "H" + }, + ionq: { + name: "h" + } + } + }, + srn: { + description: "Square root of NOT", + matrix: [ + ["0.5+0.5i", "0.5-0.5i"], + ["0.5-0.5i", "0.5+0.5i"] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "√X" + }, + exportInfo: { + quil: { + name: "srn", + defgate: `DEFGATE srn: 0.5+0.5i, 0.5-0.5i 0.5-0.5i, 0.5+0.5i` - }, - pyquil: { - name: "srn", - array: "[[0.5+0.5j, 0.5-0.5j], [0.5-0.5j, 0.5+0.5j]]" - }, - cirq: { - name: "X**(1/2)" - }, - quest: { - name: "unitary", - matrix: [ - [["0.5", "0.5"], ["0.5", "-0.5"]], - [["0.5", "-0.5"], ["0.5", "0.5"]] - ] - }, - qasm: { - name: "sx" - }, - qiskit: { - name: "sx" - }, - braket: { - name: "v" - }, - aqasm: { - matrix: [["0.5+0.5i", "0.5-0.5i"], ["0.5-0.5i", "0.5+0.5i"]], - array: "[[0.5+0.5j, 0.5-0.5j], [0.5-0.5j, 0.5+0.5j]]" - }, - ionq: { - name: "v" - } - } - }, - srndg: { - description: "Inverse square root of NOT", - matrix: [ - ["0.5-0.5i", "0.5+0.5i"], - ["0.5+0.5i", "0.5-0.5i"] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "√X†" - }, - exportInfo: { - quil: { - name: "srndg", - defgate: `DEFGATE srndg: + }, + pyquil: { + name: "srn", + array: "[[0.5+0.5j, 0.5-0.5j], [0.5-0.5j, 0.5+0.5j]]" + }, + cirq: { + name: "X**(1/2)" + }, + quest: { + name: "unitary", + matrix: [ + [["0.5", "0.5"], ["0.5", "-0.5"]], + [["0.5", "-0.5"], ["0.5", "0.5"]] + ] + }, + qasm: { + name: "sx" + }, + qiskit: { + name: "sx" + }, + braket: { + name: "v" + }, + aqasm: { + matrix: [["0.5+0.5i", "0.5-0.5i"], ["0.5-0.5i", "0.5+0.5i"]], + array: "[[0.5+0.5j, 0.5-0.5j], [0.5-0.5j, 0.5+0.5j]]" + }, + ionq: { + name: "v" + } + } + }, + srndg: { + description: "Inverse square root of NOT", + matrix: [ + ["0.5-0.5i", "0.5+0.5i"], + ["0.5+0.5i", "0.5-0.5i"] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "√X†" + }, + exportInfo: { + quil: { + name: "srndg", + defgate: `DEFGATE srndg: 0.5-0.5i, 0.5+0.5i 0.5+0.5i, 0.5-0.5i` - }, - pyquil: { - name: "srndg", - array: "[[0.5-0.5j, 0.5+0.5j], [0.5+0.5j, 0.5-0.5j]]" - }, - cirq: { - name: "X**(-1/2)" - }, - quest: { - name: "unitary", - matrix: [ - [["0.5", "-0.5"], ["0.5", "0.5"]], - [["0.5", "0.5"], ["0.5", "-0.5"]] - ] - }, - qasm: { - name: "sxdg" - }, - qiskit: { - name: "sxdg" - }, - braket: { - name: "vi" - }, - aqasm: { - matrix: [["0.5-0.5i", "0.5+0.5i"], ["0.5+0.5i", "0.5-0.5i"]], - array: "[[0.5-0.5j, 0.5+0.5j], [0.5+0.5j, 0.5-0.5j]]" - }, - ionq: { - name: "vi" - } - } - }, - r2: { - description: 'PI/2 rotation over Z-axis aka "Phase PI/2"', - matrix: [ - [1, 0], - [0, "exp(i * pi / 2)"] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "Z𝛑/2" - }, - exportInfo: { - quil: { - replacement: { - name: "s" - } - }, - cirq: { - replacement: { - name: "s" - } - }, - quest: { - name: "sGate" - }, - qsharp: { - replacement: { - name: "s" - } - }, - qasm: { - replacement: [ - { name: "s", params: {} } - ] - }, - qiskit: { - replacement: [ - { name: "s", params: {} } - ] - }, - quirk: { - name: "Z^½" - }, - braket: { + }, + pyquil: { + name: "srndg", + array: "[[0.5-0.5j, 0.5+0.5j], [0.5+0.5j, 0.5-0.5j]]" + }, + cirq: { + name: "X**(-1/2)" + }, + quest: { + name: "unitary", + matrix: [ + [["0.5", "-0.5"], ["0.5", "0.5"]], + [["0.5", "0.5"], ["0.5", "-0.5"]] + ] + }, + qasm: { + name: "sxdg" + }, + qiskit: { + name: "sxdg" + }, + braket: { + name: "vi" + }, + aqasm: { + matrix: [["0.5-0.5i", "0.5+0.5i"], ["0.5+0.5i", "0.5-0.5i"]], + array: "[[0.5-0.5j, 0.5+0.5j], [0.5+0.5j, 0.5-0.5j]]" + }, + ionq: { + name: "vi" + } + } + }, + r2: { + description: 'PI/2 rotation over Z-axis aka "Phase PI/2"', + matrix: [ + [1, 0], + [0, "exp(i * pi / 2)"] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "Z𝛑/2" + }, + exportInfo: { + quil: { + replacement: { name: "s" - }, - aqasm: { - name: "S" - } - } - }, - r4: { - description: 'PI/4 rotation over Z-axis aka "Phase PI/4"', - matrix: [ - [1, 0], - [0, "exp(i * pi / 4)"] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "Z𝛑/4" - }, - exportInfo: { - quil: { - replacement: { - name: "t" - } - }, - cirq: { - replacement: { - name: "t" - } - }, - quest: { - name: "tGate" - }, - qsharp: { - replacement: { - name: "t" - } - }, - qasm: { - replacement: [ - { name: "t", params: {} } - ] - }, - qiskit: { - replacement: [ - { name: "t", params: {} } - ] - }, - quirk: { - name: "Z^¼" - }, - braket: { + } + }, + cirq: { + replacement: { + name: "s" + } + }, + quest: { + name: "sGate" + }, + qsharp: { + replacement: { + name: "s" + } + }, + qasm: { + replacement: [ + { name: "s", params: {} } + ] + }, + qiskit: { + replacement: [ + { name: "s", params: {} } + ] + }, + quirk: { + name: "Z^½" + }, + braket: { + name: "s" + }, + aqasm: { + name: "S" + } + } + }, + r4: { + description: 'PI/4 rotation over Z-axis aka "Phase PI/4"', + matrix: [ + [1, 0], + [0, "exp(i * pi / 4)"] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "Z𝛑/4" + }, + exportInfo: { + quil: { + replacement: { name: "t" - }, - aqasm: { - name: "T" - } - } - }, - r8: { - description: 'PI/8 rotation over Z-axis aka "Phase PI/8"', - matrix: [ - [1, 0], - [0, "exp(i * pi / 8)"] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "Z𝛑/8" - }, - exportInfo: { - quil: { - replacement: { - name: "u1", - params: { - lambda: "pi/8" - } - } - }, - cirq: { - replacement: { - name: "u1", - params: { - lambda: "pi/8" - } + } + }, + cirq: { + replacement: { + name: "t" + } + }, + quest: { + name: "tGate" + }, + qsharp: { + replacement: { + name: "t" + } + }, + qasm: { + replacement: [ + { name: "t", params: {} } + ] + }, + qiskit: { + replacement: [ + { name: "t", params: {} } + ] + }, + quirk: { + name: "Z^¼" + }, + braket: { + name: "t" + }, + aqasm: { + name: "T" + } + } + }, + r8: { + description: 'PI/8 rotation over Z-axis aka "Phase PI/8"', + matrix: [ + [1, 0], + [0, "exp(i * pi / 8)"] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "Z𝛑/8" + }, + exportInfo: { + quil: { + replacement: { + name: "u1", + params: { + lambda: "pi/8" } - }, - quest: { - name: "phaseShift", - params: { theta: "M_PI/8" } - }, - qsharp: { - replacement: { - name: "u1", - params: { - lambda: "pi/8" - } + } + }, + cirq: { + replacement: { + name: "u1", + params: { + lambda: "pi/8" } - }, - qasm: { - replacement: [ - { name: "u1", params: { lambda: "pi/8" } } - ] - }, - qiskit: { - replacement: [ - { name: "u1", params: { lambda: "pi/8" } } - ] - }, - quirk: { - name: "Z^⅛" - }, - braket: { - name: "phaseshift", - params: { theta: "pi/8" } - }, - aqasm: { - matrix: [[1, 0], [0, "exp(i * pi / 8)"]], - array: "[[1,0],[0,np.exp(1j * np.pi / 8)]]" - } - } - }, - rx: { - description: "Rotation around the X-axis by given angle", - matrix: [ - ["cos(theta / 2)", "-i * sin(theta / 2)"], - ["-i * sin(theta / 2)", "cos(theta / 2)"] - ], - params: ["theta"], - drawingInfo: { - connectors: ["box"], - label: "RX" - }, - exportInfo: { - quil: { - name: "RX", - params: ["theta"] - }, - cirq: { - name: "rx", - params: ["theta"] - }, - quest: { - name: "rotateX", - params: ["theta"] - }, - qsharp: { - name: "Rx", - params: ["theta"] - }, - braket: { - name: "rx", - params: ["theta"] - }, - aqasm: { - name: "RX" - }, - ionq: { - name: "rx", - paramsKey: "rotation" - } - } - }, - ry: { - description: "Rotation around the Y-axis by given angle", - matrix: [ - ["cos(theta / 2)", "-1 * sin(theta / 2)"], - ["sin(theta / 2)", "cos(theta / 2)"] - ], - params: ["theta"], - drawingInfo: { - connectors: ["box"], - label: "RY" - }, - exportInfo: { - quil: { - name: "RY", - params: ["theta"] - }, - cirq: { - name: "ry", - params: ["theta"] - }, - quest: { - name: "rotateY", - params: ["theta"] - }, - qsharp: { - name: "Ry", - params: ["theta"] - }, - braket: { - name: "ry", - params: ["theta"] - }, - aqasm: { - name: "RY" - }, - ionq: { - name: "ry", - paramsKey: "rotation" - } - } - }, - rz: { - description: "Rotation around the Z-axis by given angle", - matrix: [ - ["cos(phi / 2) - i * sin(phi / 2)", 0], - [0, "cos(phi / 2) + i * sin(phi / 2)"] - ], - params: ["phi"], - drawingInfo: { - connectors: ["box"], - label: "RZ" - }, - exportInfo: { - quil: { - name: "RZ", - params: ["phi"] - }, - cirq: { - name: "rz", - params: ["theta"] - }, - qsharp: { - name: "Rz", - params: ["theta"] - }, - braket: { - name: "rz", - params: ["phi"] - }, - aqasm: { - name: "RZ" - }, - ionq: { - name: "rz", - paramsKey: "rotation" - } - } - }, - u1: { - description: "Single-qubit rotation about the Z axis", - matrix: [ - [1, 0], - [0, "exp(i * lambda)"] - ], - params: ["lambda"], - drawingInfo: { - connectors: ["box"], - label: "U1" - }, - exportInfo: { - quil: { - name: "PHASE", - params: ["lambda"] - }, - cirq: { + } + }, + quest: { + name: "phaseShift", + params: { theta: "M_PI/8" } + }, + qsharp: { + replacement: { name: "u1", - params: ["lambda"], - array: "[[1, 0], [0, np.exp(1j*p_lambda)]]", - notTfqSupported: !0 - }, - quest: { - name: "phaseShift", - params: ["lambda"] - }, - braket: { - name: "phaseshift", - params: ["lambda"] - }, - qiskit: { - name: "p" - }, - aqasm: { - name: "PH" - } - } - }, - u2: { - description: "Single-qubit rotation about the X+Z axis", - matrix: [ - ["1 / sqrt(2)", "-exp(i * lambda) * 1 / sqrt(2)"], - ["exp(i * phi) * 1 / sqrt(2)", "exp(i * lambda + i * phi) * 1 / sqrt(2)"] - ], - params: ["phi", "lambda"], - drawingInfo: { - connectors: ["box"], - label: "U2" - }, - exportInfo: { - quil: { - name: "u2", - params: ["phi", "lambda"], - defgate: `DEFGATE u2(%phi, %lambda): + params: { + lambda: "pi/8" + } + } + }, + qasm: { + replacement: [ + { name: "u1", params: { lambda: "pi/8" } } + ] + }, + qiskit: { + replacement: [ + { name: "u1", params: { lambda: "pi/8" } } + ] + }, + quirk: { + name: "Z^⅛" + }, + braket: { + name: "phaseshift", + params: { theta: "pi/8" } + }, + aqasm: { + matrix: [[1, 0], [0, "exp(i * pi / 8)"]], + array: "[[1,0],[0,np.exp(1j * np.pi / 8)]]" + } + } + }, + rx: { + description: "Rotation around the X-axis by given angle", + matrix: [ + ["cos(theta / 2)", "-i * sin(theta / 2)"], + ["-i * sin(theta / 2)", "cos(theta / 2)"] + ], + params: ["theta"], + drawingInfo: { + connectors: ["box"], + label: "RX" + }, + exportInfo: { + quil: { + name: "RX", + params: ["theta"] + }, + cirq: { + name: "rx", + params: ["theta"] + }, + quest: { + name: "rotateX", + params: ["theta"] + }, + qsharp: { + name: "Rx", + params: ["theta"] + }, + braket: { + name: "rx", + params: ["theta"] + }, + aqasm: { + name: "RX" + }, + ionq: { + name: "rx", + paramsKey: "rotation" + } + } + }, + ry: { + description: "Rotation around the Y-axis by given angle", + matrix: [ + ["cos(theta / 2)", "-1 * sin(theta / 2)"], + ["sin(theta / 2)", "cos(theta / 2)"] + ], + params: ["theta"], + drawingInfo: { + connectors: ["box"], + label: "RY" + }, + exportInfo: { + quil: { + name: "RY", + params: ["theta"] + }, + cirq: { + name: "ry", + params: ["theta"] + }, + quest: { + name: "rotateY", + params: ["theta"] + }, + qsharp: { + name: "Ry", + params: ["theta"] + }, + braket: { + name: "ry", + params: ["theta"] + }, + aqasm: { + name: "RY" + }, + ionq: { + name: "ry", + paramsKey: "rotation" + } + } + }, + rz: { + description: "Rotation around the Z-axis by given angle", + matrix: [ + ["cos(phi / 2) - i * sin(phi / 2)", 0], + [0, "cos(phi / 2) + i * sin(phi / 2)"] + ], + params: ["phi"], + drawingInfo: { + connectors: ["box"], + label: "RZ" + }, + exportInfo: { + quil: { + name: "RZ", + params: ["phi"] + }, + cirq: { + name: "rz", + params: ["theta"] + }, + qsharp: { + name: "Rz", + params: ["theta"] + }, + braket: { + name: "rz", + params: ["phi"] + }, + aqasm: { + name: "RZ" + }, + ionq: { + name: "rz", + paramsKey: "rotation" + } + } + }, + u1: { + description: "Single-qubit rotation about the Z axis", + matrix: [ + [1, 0], + [0, "exp(i * lambda)"] + ], + params: ["lambda"], + drawingInfo: { + connectors: ["box"], + label: "U1" + }, + exportInfo: { + quil: { + name: "PHASE", + params: ["lambda"] + }, + cirq: { + name: "u1", + params: ["lambda"], + array: "[[1, 0], [0, np.exp(1j*p_lambda)]]", + notTfqSupported: !0 + }, + quest: { + name: "phaseShift", + params: ["lambda"] + }, + braket: { + name: "phaseshift", + params: ["lambda"] + }, + qiskit: { + name: "p" + }, + aqasm: { + name: "PH" + } + } + }, + u2: { + description: "Single-qubit rotation about the X+Z axis", + matrix: [ + ["1 / sqrt(2)", "-exp(i * lambda) * 1 / sqrt(2)"], + ["exp(i * phi) * 1 / sqrt(2)", "exp(i * lambda + i * phi) * 1 / sqrt(2)"] + ], + params: ["phi", "lambda"], + drawingInfo: { + connectors: ["box"], + label: "U2" + }, + exportInfo: { + quil: { + name: "u2", + params: ["phi", "lambda"], + defgate: `DEFGATE u2(%phi, %lambda): 1/SQRT(2), -1*EXP(i*%lambda)*1/SQRT(2) EXP(i*%phi)*1/SQRT(2), EXP(i*%lambda + i*%phi)*1/SQRT(2)` - }, - pyquil: { - name: "u2", - params: ["phi", "lambda"], - array: "[[1/quil_sqrt(2),-quil_exp(1j*p_lambda)*1/quil_sqrt(2)],[quil_exp(1j*p_phi)*1/quil_sqrt(2),quil_exp(1j*p_lambda+1j*p_phi)*1/quil_sqrt(2)]]" - }, - cirq: { - name: "u2", - params: ["phi", "lambda"], - array: "[[1/np.sqrt(2), -np.exp(1j*p_lambda)*1/np.sqrt(2)], [np.exp(1j*p_phi)*1/np.sqrt(2), np.exp(1j*p_lambda+1j*p_phi)*1/np.sqrt(2)]]", - notTfqSupported: !0 - }, - quest: { - name: "unitary", - params: ["phi", "lambda"], - matrix: [ - [["1/sqrt(2)", "0"], ["-cos(lambda)/sqrt(2)", "-sin(lambda)/sqrt(2)"]], - [["cos(phi)/sqrt(2)", "sin(phi)/sqrt(2)"], ["cos(lambda+phi)/sqrt(2)", "sin(lambda+phi)/sqrt(2)"]] - ] - }, - braket: { - name: "unitary", - params: ["phi", "lambda"], - array: "[[1/np.sqrt(2), -np.exp(1j*p_lambda)*1/np.sqrt(2)], [np.exp(1j*p_phi)*1/np.sqrt(2), np.exp(1j*p_lambda+1j*p_phi)*1/np.sqrt(2)]]" - }, - aqasm: { - matrix: [["1 / sqrt(2)", "-exp(i * lambda) * 1 / sqrt(2)"], ["exp(i * phi) * 1 / sqrt(2)", "exp(i * lambda + i * phi) * 1 / sqrt(2)"]], - array: "[[1/np.sqrt(2), -np.exp(1j*p_lambda)*1/np.sqrt(2)], [np.exp(1j*p_phi)*1/np.sqrt(2), np.exp(1j*p_lambda+1j*p_phi)*1/np.sqrt(2)]]", - params: ["phi", "lambda"] - }, - qiskit: { - replacement: [ - { name: "u3", params: { theta: "pi/2", phi: "phi", lambda: "lambda" } } - ] - } - } - }, - u3: { - description: "Generic single-qubit rotation gate with 3 Euler angles", - matrix: [ - ["cos(theta/2)", "-exp(i * lambda) * sin(theta / 2)"], - ["exp(i * phi) * sin(theta / 2)", "exp(i * lambda + i * phi) * cos(theta / 2)"] - ], - params: ["theta", "phi", "lambda"], - drawingInfo: { - connectors: ["box"], - label: "U3" - }, - exportInfo: { - quil: { - name: "u3", - params: ["theta", "phi", "lambda"], - defgate: `DEFGATE u3(%theta, %phi, %lambda): + }, + pyquil: { + name: "u2", + params: ["phi", "lambda"], + array: "[[1/quil_sqrt(2),-quil_exp(1j*p_lambda)*1/quil_sqrt(2)],[quil_exp(1j*p_phi)*1/quil_sqrt(2),quil_exp(1j*p_lambda+1j*p_phi)*1/quil_sqrt(2)]]" + }, + cirq: { + name: "u2", + params: ["phi", "lambda"], + array: "[[1/np.sqrt(2), -np.exp(1j*p_lambda)*1/np.sqrt(2)], [np.exp(1j*p_phi)*1/np.sqrt(2), np.exp(1j*p_lambda+1j*p_phi)*1/np.sqrt(2)]]", + notTfqSupported: !0 + }, + quest: { + name: "unitary", + params: ["phi", "lambda"], + matrix: [ + [["1/sqrt(2)", "0"], ["-cos(lambda)/sqrt(2)", "-sin(lambda)/sqrt(2)"]], + [["cos(phi)/sqrt(2)", "sin(phi)/sqrt(2)"], ["cos(lambda+phi)/sqrt(2)", "sin(lambda+phi)/sqrt(2)"]] + ] + }, + braket: { + name: "unitary", + params: ["phi", "lambda"], + array: "[[1/np.sqrt(2), -np.exp(1j*p_lambda)*1/np.sqrt(2)], [np.exp(1j*p_phi)*1/np.sqrt(2), np.exp(1j*p_lambda+1j*p_phi)*1/np.sqrt(2)]]" + }, + aqasm: { + matrix: [["1 / sqrt(2)", "-exp(i * lambda) * 1 / sqrt(2)"], ["exp(i * phi) * 1 / sqrt(2)", "exp(i * lambda + i * phi) * 1 / sqrt(2)"]], + array: "[[1/np.sqrt(2), -np.exp(1j*p_lambda)*1/np.sqrt(2)], [np.exp(1j*p_phi)*1/np.sqrt(2), np.exp(1j*p_lambda+1j*p_phi)*1/np.sqrt(2)]]", + params: ["phi", "lambda"] + }, + qiskit: { + replacement: [ + { name: "u3", params: { theta: "pi/2", phi: "phi", lambda: "lambda" } } + ] + } + } + }, + u3: { + description: "Generic single-qubit rotation gate with 3 Euler angles", + matrix: [ + ["cos(theta/2)", "-exp(i * lambda) * sin(theta / 2)"], + ["exp(i * phi) * sin(theta / 2)", "exp(i * lambda + i * phi) * cos(theta / 2)"] + ], + params: ["theta", "phi", "lambda"], + drawingInfo: { + connectors: ["box"], + label: "U3" + }, + exportInfo: { + quil: { + name: "u3", + params: ["theta", "phi", "lambda"], + defgate: `DEFGATE u3(%theta, %phi, %lambda): COS(%theta/2), -1*EXP(i*%lambda)*SIN(%theta/2) EXP(i*%phi)*SIN(%theta/2), EXP(i*%lambda + i*%phi)*COS(%theta/2)` - }, - pyquil: { - name: "u3", - params: ["theta", "phi", "lambda"], - array: "[[quil_cos(p_theta/2),-quil_exp(1j*p_lambda)*quil_sin(p_theta/2)],[quil_exp(1j*p_phi)*quil_sin(p_theta/2),quil_exp(1j*p_lambda+1j*p_phi)*quil_cos(p_theta/2)]]" - }, - cirq: { - name: "u3", - params: ["theta", "phi", "lambda"], - array: "[[np.cos(p_theta/2), -np.exp(1j*p_lambda)*np.sin(p_theta/2)], [np.exp(1j*p_phi)*np.sin(p_theta/2), np.exp(1j*p_lambda+1j*p_phi)*np.cos(p_theta/2)]]", - notTfqSupported: !0 - }, - quest: { - name: "unitary", - params: ["theta", "phi", "lambda"], - matrix: [ - [["cos(theta/2)", "0"], ["-cos(lambda)*sin(theta/2)", "-sin(lambda)*sin(theta/2)"]], - [["cos(phi)*sin(theta/2)", "sin(phi)*sin(theta/2)"], ["cos(lambda+phi)*cos(theta/2)", "sin(lambda+phi)*cos(theta/2)"]] - ] - }, - braket: { - name: "unitary", - params: ["theta", "phi", "lambda"], - array: "[[np.cos(p_theta/2), -np.exp(1j*p_lambda)*np.sin(p_theta/2)], [np.exp(1j*p_phi)*np.sin(p_theta/2), np.exp(1j*p_lambda+1j*p_phi)*np.cos(p_theta/2)]]" - }, - qiskit: { - name: "u" - }, - aqasm: { - matrix: [["cos(theta/2)", "-exp(i * lambda) * sin(theta / 2)"], ["exp(i * phi) * sin(theta / 2)", "exp(i * lambda + i * phi) * cos(theta / 2)"]], - array: "[[np.cos(p_theta/2), -np.exp(1j*p_lambda)*np.sin(p_theta/2)], [np.exp(1j*p_phi)*np.sin(p_theta/2), np.exp(1j*p_lambda+1j*p_phi)*np.cos(p_theta/2)]]", - params: ["theta", "phi", "lambda"] - } - } - }, - s: { - description: "PI/2 rotation over Z-axis (synonym for `r2`)", - matrix: [ - [1, 0], - [0, "exp(i * pi / 2)"] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "S" - }, - exportInfo: { - quil: { - name: "S" - }, - cirq: { - name: "S" - }, - quest: { - name: "sGate" - }, - qsharp: { - name: "S" - }, - quirk: { - name: "Z^½" - }, - braket: { - name: "s" - }, - aqasm: { - name: "S" - }, - ionq: { - name: "s" - } + }, + pyquil: { + name: "u3", + params: ["theta", "phi", "lambda"], + array: "[[quil_cos(p_theta/2),-quil_exp(1j*p_lambda)*quil_sin(p_theta/2)],[quil_exp(1j*p_phi)*quil_sin(p_theta/2),quil_exp(1j*p_lambda+1j*p_phi)*quil_cos(p_theta/2)]]" + }, + cirq: { + name: "u3", + params: ["theta", "phi", "lambda"], + array: "[[np.cos(p_theta/2), -np.exp(1j*p_lambda)*np.sin(p_theta/2)], [np.exp(1j*p_phi)*np.sin(p_theta/2), np.exp(1j*p_lambda+1j*p_phi)*np.cos(p_theta/2)]]", + notTfqSupported: !0 + }, + quest: { + name: "unitary", + params: ["theta", "phi", "lambda"], + matrix: [ + [["cos(theta/2)", "0"], ["-cos(lambda)*sin(theta/2)", "-sin(lambda)*sin(theta/2)"]], + [["cos(phi)*sin(theta/2)", "sin(phi)*sin(theta/2)"], ["cos(lambda+phi)*cos(theta/2)", "sin(lambda+phi)*cos(theta/2)"]] + ] + }, + braket: { + name: "unitary", + params: ["theta", "phi", "lambda"], + array: "[[np.cos(p_theta/2), -np.exp(1j*p_lambda)*np.sin(p_theta/2)], [np.exp(1j*p_phi)*np.sin(p_theta/2), np.exp(1j*p_lambda+1j*p_phi)*np.cos(p_theta/2)]]" + }, + qiskit: { + name: "u" + }, + aqasm: { + matrix: [["cos(theta/2)", "-exp(i * lambda) * sin(theta / 2)"], ["exp(i * phi) * sin(theta / 2)", "exp(i * lambda + i * phi) * cos(theta / 2)"]], + array: "[[np.cos(p_theta/2), -np.exp(1j*p_lambda)*np.sin(p_theta/2)], [np.exp(1j*p_phi)*np.sin(p_theta/2), np.exp(1j*p_lambda+1j*p_phi)*np.cos(p_theta/2)]]", + params: ["theta", "phi", "lambda"] } + } + }, + s: { + description: "PI/2 rotation over Z-axis (synonym for `r2`)", + matrix: [ + [1, 0], + [0, "exp(i * pi / 2)"] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "S" }, - t: { - description: "PI/4 rotation over Z-axis (synonym for `r4`)", - matrix: [ - [1, 0], - [0, "exp(i * pi / 4)"] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "T" - }, - exportInfo: { - quil: { - name: "T" - }, - cirq: { - name: "T" - }, - quest: { - name: "tGate" - }, - qsharp: { - name: "T" - }, - quirk: { - name: "Z^¼" - }, - braket: { - name: "t" - }, - aqasm: { - name: "T" - }, - ionq: { - name: "t" - } + exportInfo: { + quil: { + name: "S" + }, + cirq: { + name: "S" + }, + quest: { + name: "sGate" + }, + qsharp: { + name: "S" + }, + quirk: { + name: "Z^½" + }, + braket: { + name: "s" + }, + aqasm: { + name: "S" + }, + ionq: { + name: "s" } + } + }, + t: { + description: "PI/4 rotation over Z-axis (synonym for `r4`)", + matrix: [ + [1, 0], + [0, "exp(i * pi / 4)"] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "T" }, - sdg: { - description: "(-PI/2) rotation over Z-axis", - matrix: [ - [1, 0], - [0, "exp(-i * pi / 2)"] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "S†" - }, - exportInfo: { - quil: { - replacement: { - name: "u1", - params: { - lambda: "-pi/2" - } + exportInfo: { + quil: { + name: "T" + }, + cirq: { + name: "T" + }, + quest: { + name: "tGate" + }, + qsharp: { + name: "T" + }, + quirk: { + name: "Z^¼" + }, + braket: { + name: "t" + }, + aqasm: { + name: "T" + }, + ionq: { + name: "t" + } + } + }, + sdg: { + description: "(-PI/2) rotation over Z-axis", + matrix: [ + [1, 0], + [0, "exp(-i * pi / 2)"] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "S†" + }, + exportInfo: { + quil: { + replacement: { + name: "u1", + params: { + lambda: "-pi/2" } - }, - cirq: { - replacement: { - name: "u1", - params: { - lambda: "-pi/2" - } + } + }, + cirq: { + replacement: { + name: "u1", + params: { + lambda: "-pi/2" } - }, - quest: { - name: "phaseShift", - params: { theta: "-M_PI/2" } - }, - qsharp: { - replacement: { - name: "u1", - params: { - lambda: "-pi/2" - } + } + }, + quest: { + name: "phaseShift", + params: { theta: "-M_PI/2" } + }, + qsharp: { + replacement: { + name: "u1", + params: { + lambda: "-pi/2" } - }, - quirk: { - name: "Z^-½" - }, - braket: { - name: "si" - }, - aqasm: { - name: "S", - dagger: !0 - }, - ionq: { - name: "si" - } - } - }, - tdg: { - description: "(-PI/4) rotation over Z-axis", - matrix: [ - [1, 0], - [0, "exp(-i * pi / 4)"] - ], - params: [], - drawingInfo: { - connectors: ["box"], - label: "T†" - }, - exportInfo: { - quil: { - replacement: { - name: "u1", - params: { - lambda: "-pi/4" - } + } + }, + quirk: { + name: "Z^-½" + }, + braket: { + name: "si" + }, + aqasm: { + name: "S", + dagger: !0 + }, + ionq: { + name: "si" + } + } + }, + tdg: { + description: "(-PI/4) rotation over Z-axis", + matrix: [ + [1, 0], + [0, "exp(-i * pi / 4)"] + ], + params: [], + drawingInfo: { + connectors: ["box"], + label: "T†" + }, + exportInfo: { + quil: { + replacement: { + name: "u1", + params: { + lambda: "-pi/4" } - }, - cirq: { - replacement: { - name: "u1", - params: { - lambda: "-pi/4" - } + } + }, + cirq: { + replacement: { + name: "u1", + params: { + lambda: "-pi/4" } - }, - quest: { - name: "phaseShift", - params: { theta: "-M_PI/4" } - }, - qsharp: { - replacement: { - name: "u1", - params: { - lambda: "-pi/4" - } + } + }, + quest: { + name: "phaseShift", + params: { theta: "-M_PI/4" } + }, + qsharp: { + replacement: { + name: "u1", + params: { + lambda: "-pi/4" } - }, - quirk: { - name: "Z^-¼" - }, - braket: { - name: "ti" - }, - aqasm: { - name: "T", - dagger: !0 - }, - ionq: { - name: "ti" - } - } - }, - gpi: { - description: "GPi gate", - matrix: [ - [0, "exp(-i*phi)"], - ["exp(i*phi)", 0] - ], - params: ["phi"], - drawingInfo: { - connectors: ["box"], - label: "GPi" - }, - exportInfo: { - quil: { - name: "gpi", - params: ["phi"], - defgate: `DEFGATE gpi(%phi): + } + }, + quirk: { + name: "Z^-¼" + }, + braket: { + name: "ti" + }, + aqasm: { + name: "T", + dagger: !0 + }, + ionq: { + name: "ti" + } + } + }, + gpi: { + description: "GPi gate", + matrix: [ + [0, "exp(-i*phi)"], + ["exp(i*phi)", 0] + ], + params: ["phi"], + drawingInfo: { + connectors: ["box"], + label: "GPi" + }, + exportInfo: { + quil: { + name: "gpi", + params: ["phi"], + defgate: `DEFGATE gpi(%phi): 0, EXP(-i * %phi) EXP(i * %phi), 0` - }, - pyquil: { - name: "gpi", - params: ["phi"], - array: "[ [ 0, quil_exp(-1j*p_phi) ], [ quil_exp(1j*p_phi), 0 ] ]" - }, - cirq: { - name: "gpi" - }, - quest: { - name: "gpi", - //@TODO add function - func: "TODO" - }, - qasm: { - equivalent: [ - { name: "u3", params: { theta: "pi", phi: "phi", lambda: "pi-phi" }, wires: [0] } - ] - }, - qiskit: { - equivalent: [ - { name: "u3", params: { theta: "pi", phi: "phi", lambda: "pi-phi" }, wires: [0] } - ] - }, - braket: { - name: "unitary", - params: ["phi"], - array: "[ [ 0, np.exp(-1j*p_phi) ], [ np.exp(1j*p_phi), 0 ] ]" - }, - aqasm: { - matrix: [[0, "exp(-i*phi)"], ["exp(i*phi)", 0]], - array: "[ [ 0, np.exp(-1j*p_phi) ], [ np.exp(1j*p_phi), 0 ] ]", - params: ["phi"] - }, - ionq: { - name: "gpi", - paramsKey: "phase" - } - } - }, - gpi2: { - description: "GPi2 gate", - matrix: [ - ["1/sqrt(2)", "(-i*exp(-i*phi))/sqrt(2)"], - ["(-i*exp(i*phi))/sqrt(2)", "1/sqrt(2)"] - ], - params: ["phi"], - drawingInfo: { - connectors: ["box"], - label: "GPi2" - }, - exportInfo: { - quil: { - name: "gpi2", - params: ["phi"], - defgate: `DEFGATE gpi2(%phi): + }, + pyquil: { + name: "gpi", + params: ["phi"], + array: "[ [ 0, quil_exp(-1j*p_phi) ], [ quil_exp(1j*p_phi), 0 ] ]" + }, + cirq: { + name: "gpi" + }, + quest: { + name: "gpi", + //@TODO add function + func: "TODO" + }, + qasm: { + equivalent: [ + { name: "u3", params: { theta: "pi", phi: "phi", lambda: "pi-phi" }, wires: [0] } + ] + }, + qiskit: { + equivalent: [ + { name: "u3", params: { theta: "pi", phi: "phi", lambda: "pi-phi" }, wires: [0] } + ] + }, + braket: { + name: "unitary", + params: ["phi"], + array: "[ [ 0, np.exp(-1j*p_phi) ], [ np.exp(1j*p_phi), 0 ] ]" + }, + aqasm: { + matrix: [[0, "exp(-i*phi)"], ["exp(i*phi)", 0]], + array: "[ [ 0, np.exp(-1j*p_phi) ], [ np.exp(1j*p_phi), 0 ] ]", + params: ["phi"] + }, + ionq: { + name: "gpi", + paramsKey: "phase" + } + } + }, + gpi2: { + description: "GPi2 gate", + matrix: [ + ["1/sqrt(2)", "(-i*exp(-i*phi))/sqrt(2)"], + ["(-i*exp(i*phi))/sqrt(2)", "1/sqrt(2)"] + ], + params: ["phi"], + drawingInfo: { + connectors: ["box"], + label: "GPi2" + }, + exportInfo: { + quil: { + name: "gpi2", + params: ["phi"], + defgate: `DEFGATE gpi2(%phi): 1/SQRT(2), (-i*EXP(-i * %phi)) / SQRT(2) (-i*EXP(i * %phi)) / SQRT(2), 1/SQRT(2)` - }, - pyquil: { - name: "gpi2", - params: ["phi"], - array: "[ [ 1/quil_sqrt(2), (-1j*quil_exp(-1j*p_phi))/quil_sqrt(2) ], [ (-1j*quil_exp(1j*p_phi))/quil_sqrt(2), 1/quil_sqrt(2) ] ]" - }, - cirq: { - name: "gpi2" - }, - quest: { - name: "gpi2", - //@TODO add function - func: "TODO" - }, - qasm: { - equivalent: [ - { name: "u3", params: { theta: "pi/2", phi: "phi-(pi/2)", lambda: "(pi/2)-phi" }, wires: [0] } - ] - }, - qiskit: { - equivalent: [ - { name: "u3", params: { theta: "pi/2", phi: "phi-(pi/2)", lambda: "(pi/2)-phi" }, wires: [0] } - ] - }, - braket: { - name: "unitary", - params: ["phi"], - array: "[ [ 1/np.sqrt(2), (-1j*np.exp(-1j*p_phi))/np.sqrt(2) ], [ (-1j*np.exp(1j*p_phi))/np.sqrt(2), 1/np.sqrt(2) ] ]" - }, - aqasm: { - matrix: [["1/sqrt(2)", "(-i*exp(-i*phi))/sqrt(2)"], ["(-i*exp(i*phi))/sqrt(2)", "1/sqrt(2)"]], - array: "[ [ 1/np.sqrt(2), (-1j*np.exp(-1j*p_phi))/np.sqrt(2) ], [ (-1j*np.exp(1j*p_phi))/np.sqrt(2), 1/np.sqrt(2) ] ]", - params: ["phi"] - }, - ionq: { - name: "gpi2", - paramsKey: "phase" - } - } - }, - vz: { - description: "VirtualZ gate", - matrix: [ - ["exp(-i*theta/2)", 0], - [0, "exp(i*theta/2)"] - ], - params: ["theta"], - drawingInfo: { - connectors: ["box"], - label: "VrtZ" - }, - exportInfo: { - quil: { - name: "vz", - params: ["theta"], - defgate: `DEFGATE vz(%theta): + }, + pyquil: { + name: "gpi2", + params: ["phi"], + array: "[ [ 1/quil_sqrt(2), (-1j*quil_exp(-1j*p_phi))/quil_sqrt(2) ], [ (-1j*quil_exp(1j*p_phi))/quil_sqrt(2), 1/quil_sqrt(2) ] ]" + }, + cirq: { + name: "gpi2" + }, + quest: { + name: "gpi2", + //@TODO add function + func: "TODO" + }, + qasm: { + equivalent: [ + { name: "u3", params: { theta: "pi/2", phi: "phi-(pi/2)", lambda: "(pi/2)-phi" }, wires: [0] } + ] + }, + qiskit: { + equivalent: [ + { name: "u3", params: { theta: "pi/2", phi: "phi-(pi/2)", lambda: "(pi/2)-phi" }, wires: [0] } + ] + }, + braket: { + name: "unitary", + params: ["phi"], + array: "[ [ 1/np.sqrt(2), (-1j*np.exp(-1j*p_phi))/np.sqrt(2) ], [ (-1j*np.exp(1j*p_phi))/np.sqrt(2), 1/np.sqrt(2) ] ]" + }, + aqasm: { + matrix: [["1/sqrt(2)", "(-i*exp(-i*phi))/sqrt(2)"], ["(-i*exp(i*phi))/sqrt(2)", "1/sqrt(2)"]], + array: "[ [ 1/np.sqrt(2), (-1j*np.exp(-1j*p_phi))/np.sqrt(2) ], [ (-1j*np.exp(1j*p_phi))/np.sqrt(2), 1/np.sqrt(2) ] ]", + params: ["phi"] + }, + ionq: { + name: "gpi2", + paramsKey: "phase" + } + } + }, + vz: { + description: "VirtualZ gate", + matrix: [ + ["exp(-i*theta/2)", 0], + [0, "exp(i*theta/2)"] + ], + params: ["theta"], + drawingInfo: { + connectors: ["box"], + label: "VrtZ" + }, + exportInfo: { + quil: { + name: "vz", + params: ["theta"], + defgate: `DEFGATE vz(%theta): EXP(-i * %theta/2), 0 0, EXP(-i * %theta/2)` - }, - pyquil: { - name: "vz", - params: ["theta"], - array: "[ [ quil_exp(-1j*p_theta/2), 0 ], [ 0, quil_exp(1j*p_theta/2) ] ]" - }, - cirq: { - name: "vz" - }, - quest: { - name: "vz", - //@TODO add function - func: "TODO" - }, - qasm: { - equivalent: [ - { name: "rz", params: { phi: "theta" }, wires: [0] } - ] - }, - qiskit: { - equivalent: [ - { name: "rz", params: { phi: "theta" }, wires: [0] } - ] - }, - braket: { - name: "unitary", - params: ["theta"], - array: "[ [ np.exp(-1j*p_theta/2), 0 ], [ 0, np.exp(1j*p_theta/2) ] ]" - }, - aqasm: { - matrix: [["exp(-i*theta/2)", 0], [0, "exp(i*theta/2)"]], - array: "[ [ np.exp(-1j*p_theta/2), 0 ], [ 0, np.exp(1j*p_theta/2) ] ]", - params: ["theta"] - }, - ionq: { - name: "vz", - paramsKey: "phase" - } - } - }, - cx: { - description: "Controlled NOT (CNOT) gate", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, 0, 1], - [0, 0, 1, 0] - ], - numTargetQubits: 1, - numControlQubits: 1, - params: [], - drawingInfo: { - connectors: ["dot", "not"], - label: "X", - root: "x" - }, - exportInfo: { - quil: { - name: "CNOT" - }, - cirq: { - name: "CNOT" - }, - quest: { - name: "controlledNot" - }, - qsharp: { - name: "CNOT" - }, - quirk: { - name: "X", - controlled: !0 - }, - braket: { - name: "cnot" - }, - aqasm: { - name: "CNOT" - }, - ionq: { - name: "cnot" - } - } - }, - cy: { - description: "Controlled Y gate (controlled rotation over Y-axis by PI)", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, 0, "-i"], - [0, 0, "i", 0] - ], - numTargetQubits: 1, - numControlQubits: 1, - params: [], - drawingInfo: { - connectors: ["dot", "box"], - label: "Y", - root: "y" - }, - exportInfo: { - quest: { - name: "controlledPauliY" - }, - cirq: { - replacement: { - name: "y", - type: "controlled", - notTfqSupported: !0 - } - }, - quil: { - name: "cy", - defgate: `DEFGATE cy: + }, + pyquil: { + name: "vz", + params: ["theta"], + array: "[ [ quil_exp(-1j*p_theta/2), 0 ], [ 0, quil_exp(1j*p_theta/2) ] ]" + }, + cirq: { + name: "vz" + }, + quest: { + name: "vz", + //@TODO add function + func: "TODO" + }, + qasm: { + equivalent: [ + { name: "rz", params: { phi: "theta" }, wires: [0] } + ] + }, + qiskit: { + equivalent: [ + { name: "rz", params: { phi: "theta" }, wires: [0] } + ] + }, + braket: { + name: "unitary", + params: ["theta"], + array: "[ [ np.exp(-1j*p_theta/2), 0 ], [ 0, np.exp(1j*p_theta/2) ] ]" + }, + aqasm: { + matrix: [["exp(-i*theta/2)", 0], [0, "exp(i*theta/2)"]], + array: "[ [ np.exp(-1j*p_theta/2), 0 ], [ 0, np.exp(1j*p_theta/2) ] ]", + params: ["theta"] + }, + ionq: { + name: "vz", + paramsKey: "phase" + } + } + }, + cx: { + description: "Controlled NOT (CNOT) gate", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 0, 1], + [0, 0, 1, 0] + ], + numTargetQubits: 1, + numControlQubits: 1, + params: [], + drawingInfo: { + connectors: ["dot", "not"], + label: "X", + root: "x" + }, + exportInfo: { + quil: { + name: "CNOT" + }, + cirq: { + name: "CNOT" + }, + quest: { + name: "controlledNot" + }, + qsharp: { + name: "CNOT" + }, + quirk: { + name: "X", + controlled: !0 + }, + braket: { + name: "cnot" + }, + aqasm: { + name: "CNOT" + }, + ionq: { + name: "cnot" + } + } + }, + cy: { + description: "Controlled Y gate (controlled rotation over Y-axis by PI)", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 0, "-i"], + [0, 0, "i", 0] + ], + numTargetQubits: 1, + numControlQubits: 1, + params: [], + drawingInfo: { + connectors: ["dot", "box"], + label: "Y", + root: "y" + }, + exportInfo: { + quest: { + name: "controlledPauliY" + }, + cirq: { + replacement: { + name: "y", + type: "controlled", + notTfqSupported: !0 + } + }, + quil: { + name: "cy", + defgate: `DEFGATE cy: 1, 0, 0, 0 0, 1, 0, 0 0, 0, 0, -i 0, 0, i, 0` - }, - pyquil: { - name: "cy", - array: "[[1,0,0,0],[0,1,0,0],[0,0,0,-1j],[0,0,1j,0]]" - }, - qsharp: { - name: "Controlled Y" - }, - quirk: { - name: "Y", - controlled: !0 - }, - braket: { - name: "cy" - }, - aqasm: { - name: "Y", - controlled: !0 - } - } - }, - cz: { - description: "Controlled Z gate (controlled rotation over Z-axis by PI)", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, 1, 0], - [0, 0, 0, -1] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: [], - drawingInfo: { - connectors: ["dot", "dot"], - label: "Z", - root: "z" - }, - exportInfo: { - quil: { - name: "CZ" - }, - cirq: { - name: "CZ" - }, - quest: { - name: "controlledPhaseFlip" - }, - qsharp: { - name: "Controlled Z" - }, - quirk: { - name: "Z", - controlled: !0 - }, - braket: { - name: "cz" - }, - aqasm: { - name: "CSIGN" - } - } - }, - ch: { - description: "Controlled Hadamard gate", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, "1 / sqrt(2)", "1 / sqrt(2)"], - [0, 0, "1 / sqrt(2)", "-1 / sqrt(2)"] - ], - numTargetQubits: 1, - numControlQubits: 1, - params: [], - drawingInfo: { - connectors: ["dot", "box"], - label: "H", - root: "h" - }, - exportInfo: { - quest: { - name: "controlledUnitary", - matrix: [ - [["1/sqrt(2)", "0"], ["1/sqrt(2)", "0"]], - [["1/sqrt(2)", "0"], ["-1/sqrt(2)", "0"]] - ] - }, - cirq: { - replacement: { - name: "h", - type: "controlled", - notTfqSupported: !0 - } - }, - quil: { - name: "ch", - defgate: `DEFGATE ch: + }, + pyquil: { + name: "cy", + array: "[[1,0,0,0],[0,1,0,0],[0,0,0,-1j],[0,0,1j,0]]" + }, + qsharp: { + name: "Controlled Y" + }, + quirk: { + name: "Y", + controlled: !0 + }, + braket: { + name: "cy" + }, + aqasm: { + name: "Y", + controlled: !0 + } + } + }, + cz: { + description: "Controlled Z gate (controlled rotation over Z-axis by PI)", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, -1] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: [], + drawingInfo: { + connectors: ["dot", "dot"], + label: "Z", + root: "z" + }, + exportInfo: { + quil: { + name: "CZ" + }, + cirq: { + name: "CZ" + }, + quest: { + name: "controlledPhaseFlip" + }, + qsharp: { + name: "Controlled Z" + }, + quirk: { + name: "Z", + controlled: !0 + }, + braket: { + name: "cz" + }, + aqasm: { + name: "CSIGN" + } + } + }, + ch: { + description: "Controlled Hadamard gate", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, "1 / sqrt(2)", "1 / sqrt(2)"], + [0, 0, "1 / sqrt(2)", "-1 / sqrt(2)"] + ], + numTargetQubits: 1, + numControlQubits: 1, + params: [], + drawingInfo: { + connectors: ["dot", "box"], + label: "H", + root: "h" + }, + exportInfo: { + quest: { + name: "controlledUnitary", + matrix: [ + [["1/sqrt(2)", "0"], ["1/sqrt(2)", "0"]], + [["1/sqrt(2)", "0"], ["-1/sqrt(2)", "0"]] + ] + }, + cirq: { + replacement: { + name: "h", + type: "controlled", + notTfqSupported: !0 + } + }, + quil: { + name: "ch", + defgate: `DEFGATE ch: 1, 0, 0, 0 0, 1, 0, 0 0, 0, 0.7071067811865475, 0.7071067811865475 0, 0, 0.7071067811865475, -0.7071067811865475` - }, - pyquil: { - name: "ch", - array: "[[1,0,0,0],[0,1,0,0],[0,0,1/np.sqrt(2),1/np.sqrt(2)],[0,0,1/np.sqrt(2),-1/np.sqrt(2)]]" - }, - qsharp: { - name: "Controlled H" - }, - quirk: { - name: "H", - controlled: !0 - }, - braket: { - name: "unitary", - array: "[[1,0,0,0],[0,1,0,0],[0,0,1/np.sqrt(2),1/np.sqrt(2)],[0,0,1/np.sqrt(2),-1/np.sqrt(2)]]" - }, - aqasm: { - name: "H", - controlled: !0 - } - } - }, - csrn: { - description: "Controlled square root of NOT", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, "0.5+0.5i", "0.5-0.5i"], - [0, 0, "0.5-0.5i", "0.5+0.5i"] - ], - numTargetQubits: 1, - numControlQubits: 1, - params: [], - drawingInfo: { - connectors: ["dot", "box"], - label: "√X", - root: "srn" - }, - exportInfo: { - quest: { - name: "controlledUnitary", - matrix: [ - [["-1/sqrt(2)", "0"], ["-1/sqrt(2)", "0"]], - [["-1/sqrt(2)", "0"], ["1/sqrt(2)", "0"]] - ] - }, - cirq: { - replacement: { - name: "srn", - type: "controlled", - notTfqSupported: !0 - } - }, - quil: { - name: "csrn", - defgate: `DEFGATE csrn: + }, + pyquil: { + name: "ch", + array: "[[1,0,0,0],[0,1,0,0],[0,0,1/np.sqrt(2),1/np.sqrt(2)],[0,0,1/np.sqrt(2),-1/np.sqrt(2)]]" + }, + qsharp: { + name: "Controlled H" + }, + quirk: { + name: "H", + controlled: !0 + }, + braket: { + name: "unitary", + array: "[[1,0,0,0],[0,1,0,0],[0,0,1/np.sqrt(2),1/np.sqrt(2)],[0,0,1/np.sqrt(2),-1/np.sqrt(2)]]" + }, + aqasm: { + name: "H", + controlled: !0 + } + } + }, + csrn: { + description: "Controlled square root of NOT", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, "0.5+0.5i", "0.5-0.5i"], + [0, 0, "0.5-0.5i", "0.5+0.5i"] + ], + numTargetQubits: 1, + numControlQubits: 1, + params: [], + drawingInfo: { + connectors: ["dot", "box"], + label: "√X", + root: "srn" + }, + exportInfo: { + quest: { + name: "controlledUnitary", + matrix: [ + [["-1/sqrt(2)", "0"], ["-1/sqrt(2)", "0"]], + [["-1/sqrt(2)", "0"], ["1/sqrt(2)", "0"]] + ] + }, + cirq: { + replacement: { + name: "srn", + type: "controlled", + notTfqSupported: !0 + } + }, + quil: { + name: "csrn", + defgate: `DEFGATE csrn: 1, 0, 0, 0 0, 1, 0, 0 0, 0, 0.5+0.5i, 0.5-0.5i 0, 0, 0.5-0.5i, 0.5+0.5i` - }, - qasm: { - name: "csx" - }, - qiskit: { - name: "csx" - }, - pyquil: { - name: "csrn", - array: "[[1,0,0,0],[0,1,0,0],[0,0,0.5+0.5j,0.5-0.5j],[0,0,0.5-0.5j,0.5+0.5j]]" - }, - braket: { - name: "unitary", - array: "[[1,0,0,0],[0,1,0,0],[0,0,0.5+0.5j,0.5-0.5j],[0,0,0.5-0.5j,0.5+0.5j]]" - }, - aqasm: { - matrix: [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, "0.5+0.5i", "0.5-0.5i"], [0, 0, "0.5-0.5i", "0.5+0.5i"]], - array: "[[1,0,0,0],[0,1,0,0],[0,0,0.5+0.5j,0.5-0.5j],[0,0,0.5-0.5j,0.5+0.5j]]" - } - } - }, - swap: { - description: "Swaps the state of two qubits.", - matrix: [ - [1, 0, 0, 0], - [0, 0, 1, 0], - [0, 1, 0, 0], - [0, 0, 0, 1] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: [], - drawingInfo: { - connectors: ["x", "x"], - label: "SWP" - }, - exportInfo: { - quil: { - name: "SWAP" - }, - cirq: { - name: "SWAP" - }, - quest: { - name: "swap", - func: `void swap(Qureg qubits, const int q1, const int q2) { + }, + qasm: { + name: "csx" + }, + qiskit: { + name: "csx" + }, + pyquil: { + name: "csrn", + array: "[[1,0,0,0],[0,1,0,0],[0,0,0.5+0.5j,0.5-0.5j],[0,0,0.5-0.5j,0.5+0.5j]]" + }, + braket: { + name: "unitary", + array: "[[1,0,0,0],[0,1,0,0],[0,0,0.5+0.5j,0.5-0.5j],[0,0,0.5-0.5j,0.5+0.5j]]" + }, + aqasm: { + matrix: [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, "0.5+0.5i", "0.5-0.5i"], [0, 0, "0.5-0.5i", "0.5+0.5i"]], + array: "[[1,0,0,0],[0,1,0,0],[0,0,0.5+0.5j,0.5-0.5j],[0,0,0.5-0.5j,0.5+0.5j]]" + } + } + }, + swap: { + description: "Swaps the state of two qubits.", + matrix: [ + [1, 0, 0, 0], + [0, 0, 1, 0], + [0, 1, 0, 0], + [0, 0, 0, 1] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: [], + drawingInfo: { + connectors: ["x", "x"], + label: "SWP" + }, + exportInfo: { + quil: { + name: "SWAP" + }, + cirq: { + name: "SWAP" + }, + quest: { + name: "swap", + func: `void swap(Qureg qubits, const int q1, const int q2) { controlledNot(qubits, q1, q2); controlledNot(qubits, q2, q1); controlledNot(qubits, q1, q2); }` - }, - qsharp: { - name: "SWAP" - }, - quirk: { - name: "Swap" - }, - braket: { - name: "swap" - }, - aqasm: { - name: "SWAP" - }, - ionq: { - name: "swap" - } - } - }, - srswap: { - description: "Square root of swap", - matrix: [ - [1, 0, 0, 0], - [0, "0.5 * (1 + i)", "0.5 * (1 - i)", 0], - [0, "0.5 * (1 - i)", "0.5 * (1 + i)", 0], - [0, 0, 0, 1] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: [], - drawingInfo: { - connectors: ["box", "box"], - label: "√SWP" - }, - exportInfo: { - quil: { - name: "srswap", - defgate: `DEFGATE srswap: + }, + qsharp: { + name: "SWAP" + }, + quirk: { + name: "Swap" + }, + braket: { + name: "swap" + }, + aqasm: { + name: "SWAP" + }, + ionq: { + name: "swap" + } + } + }, + srswap: { + description: "Square root of swap", + matrix: [ + [1, 0, 0, 0], + [0, "0.5 * (1 + i)", "0.5 * (1 - i)", 0], + [0, "0.5 * (1 - i)", "0.5 * (1 + i)", 0], + [0, 0, 0, 1] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: [], + drawingInfo: { + connectors: ["box", "box"], + label: "√SWP" + }, + exportInfo: { + quil: { + name: "srswap", + defgate: `DEFGATE srswap: 1, 0, 0, 0 0, 0.5+0.5i, 0.5-0.5i, 0 0, 0.5-0.5i, 0.5+0.5i, 0 0, 0, 0, 1` - }, - cirq: { - name: "SWAP**(1/2)" - }, - pyquil: { - name: "srswap", - array: "[[1,0,0,0],[0,0.5 * (1 + 1j),0.5 * (1 - 1j),0],[0,0.5 * (1 - 1j),0.5 * (1 + 1j),0],[0,0,0,1]]" - }, - quest: { - name: "srswap", - func: `void srswap(Qureg qubits, const int q1, const int q2) { + }, + cirq: { + name: "SWAP**(1/2)" + }, + pyquil: { + name: "srswap", + array: "[[1,0,0,0],[0,0.5 * (1 + 1j),0.5 * (1 - 1j),0],[0,0.5 * (1 - 1j),0.5 * (1 + 1j),0],[0,0,0,1]]" + }, + quest: { + name: "srswap", + func: `void srswap(Qureg qubits, const int q1, const int q2) { controlledNot(qubits, q2, q1); rotateY(qubits, q2, M_PI/2); rotateZ(qubits, q2, M_PI/16); @@ -1464,1303 +42882,1303 @@ var pt = nt((ut, tt) => { rotateY(qubits, q2, -M_PI/2); controlledNot(qubits, q2, q1); }` - }, - qasm: { - equivalent: [ - { name: "u3", params: { theta: "pi/2", phi: "pi/2", lambda: "-1*pi" }, wires: [0] }, - { name: "u3", params: { theta: "pi/2", phi: "-1*pi/2", lambda: "pi" }, wires: [1] }, - { name: "cx", wires: [0, 1] }, - { name: "u3", params: { theta: "pi/4", phi: "-1*pi/2", lambda: "-1*pi/2" }, wires: [0] }, - { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "7*pi/4" }, wires: [1] }, - { name: "cx", wires: [0, 1] }, - { name: "u3", params: { theta: "pi/4", phi: "-1*pi", lambda: "-1*pi/2" }, wires: [0] }, - { name: "u3", params: { theta: "pi/2", phi: "pi", lambda: "pi/2" }, wires: [1] }, - { name: "cx", wires: [0, 1] }, - { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "-3*pi/2" }, wires: [0] }, - { name: "u3", params: { theta: "pi/2", phi: "pi/2", lambda: "0" }, wires: [1] } - ] - }, - qiskit: { - equivalent: [ - { name: "u3", params: { theta: "pi/2", phi: "pi/2", lambda: "-1*pi" }, wires: [0] }, - { name: "u3", params: { theta: "pi/2", phi: "-1*pi/2", lambda: "pi" }, wires: [1] }, - { name: "cx", wires: [0, 1] }, - { name: "u3", params: { theta: "pi/4", phi: "-1*pi/2", lambda: "-1*pi/2" }, wires: [0] }, - { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "7*pi/4" }, wires: [1] }, - { name: "cx", wires: [0, 1] }, - { name: "u3", params: { theta: "pi/4", phi: "-1*pi", lambda: "-1*pi/2" }, wires: [0] }, - { name: "u3", params: { theta: "pi/2", phi: "pi", lambda: "pi/2" }, wires: [1] }, - { name: "cx", wires: [0, 1] }, - { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "-3*pi/2" }, wires: [0] }, - { name: "u3", params: { theta: "pi/2", phi: "pi/2", lambda: "0" }, wires: [1] } - ] - }, - braket: { - name: "unitary", - array: "[[1,0,0,0],[0,0.5 * (1 + 1j),0.5 * (1 - 1j),0],[0,0.5 * (1 - 1j),0.5 * (1 + 1j),0],[0,0,0,1]]" - }, - aqasm: { - name: "SQRTSWAP" - } - } - }, - iswap: { - description: "Swaps the state of two qubits, applying a -i phase to q1 when it is in the 1 state and a -i phase to q2 when it is in the 0 state", - matrix: [ - [1, 0, 0, 0], - [0, 0, "0+i", 0], - [0, "0+i", 0, 0], - [0, 0, 0, 1] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: [], - drawingInfo: { - connectors: ["box", "box"], - label: "iSWP" - }, - exportInfo: { - quil: { - name: "ISWAP" - }, - cirq: { - name: "ISWAP" - }, - qasm: { - equivalent: [ - { name: "u3", params: { theta: "pi/2", phi: "-1*pi/2", lambda: "-1*pi" }, wires: [0] }, - { name: "u3", params: { theta: "pi/2", phi: "-1*pi/2", lambda: "pi" }, wires: [1] }, - { name: "cx", wires: [0, 1] }, - { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "3*pi/2" }, wires: [0] }, - { name: "u3", params: { theta: "pi/2", phi: "3*pi/2", lambda: "0" }, wires: [1] }, - { name: "cx", wires: [0, 1] }, - { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "0" }, wires: [0] }, - { name: "u3", params: { theta: "pi", phi: "pi/4", lambda: "-1*pi/4" }, wires: [1] } - ] - }, - qiskit: { - equivalent: [ - { name: "u3", params: { theta: "pi/2", phi: "-1*pi/2", lambda: "-1*pi" }, wires: [0] }, - { name: "u3", params: { theta: "pi/2", phi: "-1*pi/2", lambda: "pi" }, wires: [1] }, - { name: "cx", wires: [0, 1] }, - { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "3*pi/2" }, wires: [0] }, - { name: "u3", params: { theta: "pi/2", phi: "3*pi/2", lambda: "0" }, wires: [1] }, - { name: "cx", wires: [0, 1] }, - { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "0" }, wires: [0] }, - { name: "u3", params: { theta: "pi", phi: "pi/4", lambda: "-1*pi/4" }, wires: [1] } - ] - }, - braket: { - name: "iswap" - }, - aqasm: { - name: "ISWAP" - } - } - }, - xx: { - description: "XX gate", - matrix: [ - ["cos(theta)", 0, 0, "-i*sin(theta)"], - [0, "cos(theta)", "-i*sin(theta)", 0], - [0, "-i*sin(theta)", "cos(theta)", 0], - ["-i*sin(theta)", 0, 0, "cos(theta)"] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: ["theta"], - drawingInfo: { - connectors: ["box", "box"], - label: "XX" - }, - exportInfo: { - quil: { - name: "xx", - params: ["theta"], - defgate: `DEFGATE xx(%theta): + }, + qasm: { + equivalent: [ + { name: "u3", params: { theta: "pi/2", phi: "pi/2", lambda: "-1*pi" }, wires: [0] }, + { name: "u3", params: { theta: "pi/2", phi: "-1*pi/2", lambda: "pi" }, wires: [1] }, + { name: "cx", wires: [0, 1] }, + { name: "u3", params: { theta: "pi/4", phi: "-1*pi/2", lambda: "-1*pi/2" }, wires: [0] }, + { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "7*pi/4" }, wires: [1] }, + { name: "cx", wires: [0, 1] }, + { name: "u3", params: { theta: "pi/4", phi: "-1*pi", lambda: "-1*pi/2" }, wires: [0] }, + { name: "u3", params: { theta: "pi/2", phi: "pi", lambda: "pi/2" }, wires: [1] }, + { name: "cx", wires: [0, 1] }, + { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "-3*pi/2" }, wires: [0] }, + { name: "u3", params: { theta: "pi/2", phi: "pi/2", lambda: "0" }, wires: [1] } + ] + }, + qiskit: { + equivalent: [ + { name: "u3", params: { theta: "pi/2", phi: "pi/2", lambda: "-1*pi" }, wires: [0] }, + { name: "u3", params: { theta: "pi/2", phi: "-1*pi/2", lambda: "pi" }, wires: [1] }, + { name: "cx", wires: [0, 1] }, + { name: "u3", params: { theta: "pi/4", phi: "-1*pi/2", lambda: "-1*pi/2" }, wires: [0] }, + { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "7*pi/4" }, wires: [1] }, + { name: "cx", wires: [0, 1] }, + { name: "u3", params: { theta: "pi/4", phi: "-1*pi", lambda: "-1*pi/2" }, wires: [0] }, + { name: "u3", params: { theta: "pi/2", phi: "pi", lambda: "pi/2" }, wires: [1] }, + { name: "cx", wires: [0, 1] }, + { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "-3*pi/2" }, wires: [0] }, + { name: "u3", params: { theta: "pi/2", phi: "pi/2", lambda: "0" }, wires: [1] } + ] + }, + braket: { + name: "unitary", + array: "[[1,0,0,0],[0,0.5 * (1 + 1j),0.5 * (1 - 1j),0],[0,0.5 * (1 - 1j),0.5 * (1 + 1j),0],[0,0,0,1]]" + }, + aqasm: { + name: "SQRTSWAP" + } + } + }, + iswap: { + description: "Swaps the state of two qubits, applying a -i phase to q1 when it is in the 1 state and a -i phase to q2 when it is in the 0 state", + matrix: [ + [1, 0, 0, 0], + [0, 0, "0+i", 0], + [0, "0+i", 0, 0], + [0, 0, 0, 1] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: [], + drawingInfo: { + connectors: ["box", "box"], + label: "iSWP" + }, + exportInfo: { + quil: { + name: "ISWAP" + }, + cirq: { + name: "ISWAP" + }, + qasm: { + equivalent: [ + { name: "u3", params: { theta: "pi/2", phi: "-1*pi/2", lambda: "-1*pi" }, wires: [0] }, + { name: "u3", params: { theta: "pi/2", phi: "-1*pi/2", lambda: "pi" }, wires: [1] }, + { name: "cx", wires: [0, 1] }, + { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "3*pi/2" }, wires: [0] }, + { name: "u3", params: { theta: "pi/2", phi: "3*pi/2", lambda: "0" }, wires: [1] }, + { name: "cx", wires: [0, 1] }, + { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "0" }, wires: [0] }, + { name: "u3", params: { theta: "pi", phi: "pi/4", lambda: "-1*pi/4" }, wires: [1] } + ] + }, + qiskit: { + equivalent: [ + { name: "u3", params: { theta: "pi/2", phi: "-1*pi/2", lambda: "-1*pi" }, wires: [0] }, + { name: "u3", params: { theta: "pi/2", phi: "-1*pi/2", lambda: "pi" }, wires: [1] }, + { name: "cx", wires: [0, 1] }, + { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "3*pi/2" }, wires: [0] }, + { name: "u3", params: { theta: "pi/2", phi: "3*pi/2", lambda: "0" }, wires: [1] }, + { name: "cx", wires: [0, 1] }, + { name: "u3", params: { theta: "pi/2", phi: "0", lambda: "0" }, wires: [0] }, + { name: "u3", params: { theta: "pi", phi: "pi/4", lambda: "-1*pi/4" }, wires: [1] } + ] + }, + braket: { + name: "iswap" + }, + aqasm: { + name: "ISWAP" + } + } + }, + xx: { + description: "XX gate", + matrix: [ + ["cos(theta)", 0, 0, "-i*sin(theta)"], + [0, "cos(theta)", "-i*sin(theta)", 0], + [0, "-i*sin(theta)", "cos(theta)", 0], + ["-i*sin(theta)", 0, 0, "cos(theta)"] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: ["theta"], + drawingInfo: { + connectors: ["box", "box"], + label: "XX" + }, + exportInfo: { + quil: { + name: "xx", + params: ["theta"], + defgate: `DEFGATE xx(%theta): COS(%theta), 0, 0, -i*SIN(%theta) 0, COS(%theta), -i*SIN(%theta), 0 0, -i*SIN(%theta), COS(%theta), 0 -i*SIN(%theta), 0, 0, COS(%theta)` - }, - pyquil: { - name: "xx", - params: ["theta"], - array: "[ [quil_cos(p_theta), 0, 0, -1j*quil_sin(p_theta)], [0, quil_cos(p_theta), -1j*quil_sin(p_theta), 0], [0, -1j*quil_sin(p_theta), quil_cos(p_theta), 0], [-1j*quil_sin(p_theta), 0, 0, quil_cos(p_theta)] ]" - }, - cirq: { - name: "xx" - }, - quest: { - name: "xx", - //@TODO add function - func: "TODO" - }, - qasm: { - name: "rxx" - }, - qiskit: { - name: "rxx" - }, - braket: { - name: "unitary", - params: ["theta"], - array: "[[np.cos(p_theta), 0, 0, -1j*np.sin(p_theta)], [0, np.cos(p_theta), -1j*np.sin(p_theta), 0], [0, -1j*np.sin(p_theta), np.cos(p_theta), 0], [-1j*np.sin(p_theta), 0, 0, np.cos(p_theta)] ]" - }, - aqasm: { - matrix: [["cos(theta)", 0, 0, "-i*sin(theta)"], [0, "cos(theta)", "-i*sin(theta)", 0], [0, "-i*sin(theta)", "cos(theta)", 0], ["-i*sin(theta)", 0, 0, "cos(theta)"]], - array: "[[np.cos(p_theta), 0, 0, -1j*np.sin(p_theta)], [0, np.cos(p_theta), -1j*np.sin(p_theta), 0], [0, -1j*np.sin(p_theta), np.cos(p_theta), 0], [-1j*np.sin(p_theta), 0, 0, np.cos(p_theta)] ]", - params: ["theta"] - }, - ionq: { - name: "xx", - paramsKey: "phase" - } - } - }, - yy: { - description: "YY gate", - matrix: [ - ["cos(theta)", 0, 0, "i*sin(theta)"], - [0, "cos(theta)", "-i*sin(theta)", 0], - [0, "-i*sin(theta)", "cos(theta)", 0], - ["i*sin(theta)", 0, 0, "cos(theta)"] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: ["theta"], - drawingInfo: { - connectors: ["box", "box"], - label: "YY" - }, - exportInfo: { - quil: { - name: "yy", - params: ["theta"], - defgate: `DEFGATE yy(%theta): + }, + pyquil: { + name: "xx", + params: ["theta"], + array: "[ [quil_cos(p_theta), 0, 0, -1j*quil_sin(p_theta)], [0, quil_cos(p_theta), -1j*quil_sin(p_theta), 0], [0, -1j*quil_sin(p_theta), quil_cos(p_theta), 0], [-1j*quil_sin(p_theta), 0, 0, quil_cos(p_theta)] ]" + }, + cirq: { + name: "xx" + }, + quest: { + name: "xx", + //@TODO add function + func: "TODO" + }, + qasm: { + name: "rxx" + }, + qiskit: { + name: "rxx" + }, + braket: { + name: "unitary", + params: ["theta"], + array: "[[np.cos(p_theta), 0, 0, -1j*np.sin(p_theta)], [0, np.cos(p_theta), -1j*np.sin(p_theta), 0], [0, -1j*np.sin(p_theta), np.cos(p_theta), 0], [-1j*np.sin(p_theta), 0, 0, np.cos(p_theta)] ]" + }, + aqasm: { + matrix: [["cos(theta)", 0, 0, "-i*sin(theta)"], [0, "cos(theta)", "-i*sin(theta)", 0], [0, "-i*sin(theta)", "cos(theta)", 0], ["-i*sin(theta)", 0, 0, "cos(theta)"]], + array: "[[np.cos(p_theta), 0, 0, -1j*np.sin(p_theta)], [0, np.cos(p_theta), -1j*np.sin(p_theta), 0], [0, -1j*np.sin(p_theta), np.cos(p_theta), 0], [-1j*np.sin(p_theta), 0, 0, np.cos(p_theta)] ]", + params: ["theta"] + }, + ionq: { + name: "xx", + paramsKey: "phase" + } + } + }, + yy: { + description: "YY gate", + matrix: [ + ["cos(theta)", 0, 0, "i*sin(theta)"], + [0, "cos(theta)", "-i*sin(theta)", 0], + [0, "-i*sin(theta)", "cos(theta)", 0], + ["i*sin(theta)", 0, 0, "cos(theta)"] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: ["theta"], + drawingInfo: { + connectors: ["box", "box"], + label: "YY" + }, + exportInfo: { + quil: { + name: "yy", + params: ["theta"], + defgate: `DEFGATE yy(%theta): COS(%theta), 0, 0, i*SIN(%theta) 0, COS(%theta), -i*SIN(%theta), 0 0, -i*SIN(%theta), COS(%theta), 0 i*SIN(%theta), 0, 0, COS(%theta)` - }, - cirq: { - name: "YY" - }, - pyquil: { - name: "yy", - params: ["theta"], - array: "[ [quil_cos(p_theta), 0, 0, 1j*quil_sin(p_theta)], [0, quil_cos(p_theta), -1j*quil_sin(p_theta), 0], [0, -1j*quil_sin(p_theta), quil_cos(p_theta), 0], [1j*quil_sin(p_theta), 0, 0, quil_cos(p_theta)] ]" - }, - quest: { - name: "yy", - //@TODO add function - func: "TODO" - }, - braket: { - name: "yy", - params: ["theta"] - }, - aqasm: { - matrix: [["cos(theta)", 0, 0, "i*sin(theta)"], [0, "cos(theta)", "-i*sin(theta)", 0], [0, "-i*sin(theta)", "cos(theta)", 0], ["i*sin(theta)", 0, 0, "cos(theta)"]], - array: "[[np.cos(p_theta), 0, 0, 1j*np.sin(p_theta)], [0, np.cos(p_theta), -1j*np.sin(p_theta), 0], [0, -1j*np.sin(p_theta), np.cos(p_theta), 0], [1j*np.sin(p_theta), 0, 0, np.cos(p_theta)] ]", - params: ["theta"] - }, - qasm: { - name: "ryy" - }, - qiskit: { - name: "ryy" - }, - ionq: { - name: "yy", - paramsKey: "phase" - } - } - }, - zz: { - description: "Parametric 2-qubit rotation about ZZ", - matrix: [ - ["exp(-i * theta / 2)", 0, 0, 0], - [0, "exp(i * theta / 2)", 0, 0], - [0, 0, "exp(i * theta / 2)", 0], - [0, 0, 0, "exp(-i * theta / 2)"] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: ["theta"], - drawingInfo: { - connectors: ["box", "box"], - label: "ZZ" - }, - exportInfo: { - quil: { - name: "zz", - params: ["theta"], - defgate: `DEFGATE zz(%theta): + }, + cirq: { + name: "YY" + }, + pyquil: { + name: "yy", + params: ["theta"], + array: "[ [quil_cos(p_theta), 0, 0, 1j*quil_sin(p_theta)], [0, quil_cos(p_theta), -1j*quil_sin(p_theta), 0], [0, -1j*quil_sin(p_theta), quil_cos(p_theta), 0], [1j*quil_sin(p_theta), 0, 0, quil_cos(p_theta)] ]" + }, + quest: { + name: "yy", + //@TODO add function + func: "TODO" + }, + braket: { + name: "yy", + params: ["theta"] + }, + aqasm: { + matrix: [["cos(theta)", 0, 0, "i*sin(theta)"], [0, "cos(theta)", "-i*sin(theta)", 0], [0, "-i*sin(theta)", "cos(theta)", 0], ["i*sin(theta)", 0, 0, "cos(theta)"]], + array: "[[np.cos(p_theta), 0, 0, 1j*np.sin(p_theta)], [0, np.cos(p_theta), -1j*np.sin(p_theta), 0], [0, -1j*np.sin(p_theta), np.cos(p_theta), 0], [1j*np.sin(p_theta), 0, 0, np.cos(p_theta)] ]", + params: ["theta"] + }, + qasm: { + name: "ryy" + }, + qiskit: { + name: "ryy" + }, + ionq: { + name: "yy", + paramsKey: "phase" + } + } + }, + zz: { + description: "Parametric 2-qubit rotation about ZZ", + matrix: [ + ["exp(-i * theta / 2)", 0, 0, 0], + [0, "exp(i * theta / 2)", 0, 0], + [0, 0, "exp(i * theta / 2)", 0], + [0, 0, 0, "exp(-i * theta / 2)"] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: ["theta"], + drawingInfo: { + connectors: ["box", "box"], + label: "ZZ" + }, + exportInfo: { + quil: { + name: "zz", + params: ["theta"], + defgate: `DEFGATE zz(%theta): EXP(-i * %theta / 2), 0, 0, 0 0, EXP(i * %theta / 2), 0, 0 0, 0, EXP(i * %theta / 2), 0 0, 0, 0, EXP(-i * %theta / 2)` - }, - pyquil: { - name: "zz", - params: ["theta"], - array: "[ [ quil_exp(-1j * p_theta / 2), 0, 0, 0 ], [ 0, quil_exp(1j * p_theta / 2), 0, 0], [ 0, 0, quil_exp(1j * p_theta / 2), 0 ], [ 0, 0, 0, quil_exp(-1j * p_theta / 2) ] ]" - }, - qasm: { - name: "rzz" - }, - qiskit: { - name: "rzz" - }, - ionq: { - name: "zz", - paramsKey: "phase" - } - } - }, - xy: { - description: "XY gate", - matrix: [ - [1, 0, 0, 0], - [0, "cos(phi / 2)", "i * sin(phi / 2)", 0], - [0, "i * sin(phi / 2)", "cos(phi / 2)", 0], - [0, 0, 0, 1] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: ["phi"], - drawingInfo: { - connectors: ["box", "box"], - label: "XY" - }, - exportInfo: { - quil: { - name: "XY", - params: [ - "phi" - ] - }, - qasm: { - equivalent: [ - { name: "rz", params: { phi: "3*pi/4" }, wires: [0] }, - { name: "rx", params: { theta: "pi/2" }, wires: [0] }, - { name: "rz", params: { phi: "-3*pi/4" }, wires: [1] }, - { name: "rx", params: { theta: "pi/2" }, wires: [1] }, - { name: "cz", wires: [1, 0] }, - { name: "rz", params: { phi: "-1*pi/2" }, wires: [0] }, - { name: "rx", params: { theta: "pi/2" }, wires: [0] }, - { name: "rz", params: { phi: "phi/2" }, wires: [0] }, - { name: "rx", params: { theta: "-1*pi/2" }, wires: [0] }, - { name: "rz", params: { phi: "pi/2" }, wires: [1] }, - { name: "rx", params: { theta: "pi/2" }, wires: [1] }, - { name: "rz", params: { phi: "phi/2" }, wires: [1] }, - { name: "rx", params: { theta: "-1*pi/2" }, wires: [1] }, - { name: "cz", wires: [1, 0] }, - { name: "rz", params: { phi: "-1*pi/2" }, wires: [0] }, - { name: "rx", params: { theta: "pi/2" }, wires: [0] }, - { name: "rz", params: { phi: "pi/4" }, wires: [0] }, - { name: "rz", params: { phi: "-1*pi/2" }, wires: [1] }, - { name: "rx", params: { theta: "-1*pi/2" }, wires: [1] }, - { name: "rz", params: { phi: "3*pi/4" }, wires: [1] } - ] - }, - qiskit: { - equivalent: [ - { name: "rz", params: { phi: "3*pi/4" }, wires: [0] }, - { name: "rx", params: { theta: "pi/2" }, wires: [0] }, - { name: "rz", params: { phi: "-3*pi/4" }, wires: [1] }, - { name: "rx", params: { theta: "pi/2" }, wires: [1] }, - { name: "cz", wires: [1, 0] }, - { name: "rz", params: { phi: "-1*pi/2" }, wires: [0] }, - { name: "rx", params: { theta: "pi/2" }, wires: [0] }, - { name: "rz", params: { phi: "phi/2" }, wires: [0] }, - { name: "rx", params: { theta: "-1*pi/2" }, wires: [0] }, - { name: "rz", params: { phi: "pi/2" }, wires: [1] }, - { name: "rx", params: { theta: "pi/2" }, wires: [1] }, - { name: "rz", params: { phi: "phi/2" }, wires: [1] }, - { name: "rx", params: { theta: "-1*pi/2" }, wires: [1] }, - { name: "cz", wires: [1, 0] }, - { name: "rz", params: { phi: "-1*pi/2" }, wires: [0] }, - { name: "rx", params: { theta: "pi/2" }, wires: [0] }, - { name: "rz", params: { phi: "pi/4" }, wires: [0] }, - { name: "rz", params: { phi: "-1*pi/2" }, wires: [1] }, - { name: "rx", params: { theta: "-1*pi/2" }, wires: [1] }, - { name: "rz", params: { phi: "3*pi/4" }, wires: [1] } - ] - }, - cirq: { - name: "xy", - params: ["phi"], - array: "[[1, 0, 0, 0], [0, np.cos(p_phi/2), 1j*np.sin(p_phi/2), 0], [0, 1j*np.sin(p_phi/2), np.cos(p_phi/2), 0], [0, 0, 0, 1]]", - notTfqSupported: !0 - }, - braket: { - name: "xy", - params: ["phi"] - }, - aqasm: { - matrix: [[1, 0, 0, 0], [0, "cos(phi / 2)", "i * sin(phi / 2)", 0], [0, "i * sin(phi / 2)", "cos(phi / 2)", 0], [0, 0, 0, 1]], - array: "[[1, 0, 0, 0], [0, np.cos(p_phi/2), 1j*np.sin(p_phi/2), 0], [0, 1j*np.sin(p_phi/2), np.cos(p_phi/2), 0], [0, 0, 0, 1]]", - params: ["phi"] - } - } - }, - ms: { - description: "Mølmer-Sørensen gate", - matrix: [ - ["1/sqrt(2)", 0, 0, "(-i*exp(-i*(phi0+phi1)))/sqrt(2)"], - [0, "1/sqrt(2)", "(-i*exp(-i*(phi0-phi1)))/sqrt(2)", 0], - [0, "(-i*exp(i*(phi0-phi1)))/sqrt(2)", "1/sqrt(2)", 0], - ["(-i*exp(i*(phi0+phi1)))/sqrt(2)", 0, 0, "1/sqrt(2)"] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: ["phi0", "phi1"], - drawingInfo: { - connectors: ["box", "box"], - label: "MS" - }, - exportInfo: { - quil: { - name: "ms", - params: ["phi0", "phi1"], - defgate: `DEFGATE ms(%phi0, %phi1): + }, + pyquil: { + name: "zz", + params: ["theta"], + array: "[ [ quil_exp(-1j * p_theta / 2), 0, 0, 0 ], [ 0, quil_exp(1j * p_theta / 2), 0, 0], [ 0, 0, quil_exp(1j * p_theta / 2), 0 ], [ 0, 0, 0, quil_exp(-1j * p_theta / 2) ] ]" + }, + qasm: { + name: "rzz" + }, + qiskit: { + name: "rzz" + }, + ionq: { + name: "zz", + paramsKey: "phase" + } + } + }, + xy: { + description: "XY gate", + matrix: [ + [1, 0, 0, 0], + [0, "cos(phi / 2)", "i * sin(phi / 2)", 0], + [0, "i * sin(phi / 2)", "cos(phi / 2)", 0], + [0, 0, 0, 1] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: ["phi"], + drawingInfo: { + connectors: ["box", "box"], + label: "XY" + }, + exportInfo: { + quil: { + name: "XY", + params: [ + "phi" + ] + }, + qasm: { + equivalent: [ + { name: "rz", params: { phi: "3*pi/4" }, wires: [0] }, + { name: "rx", params: { theta: "pi/2" }, wires: [0] }, + { name: "rz", params: { phi: "-3*pi/4" }, wires: [1] }, + { name: "rx", params: { theta: "pi/2" }, wires: [1] }, + { name: "cz", wires: [1, 0] }, + { name: "rz", params: { phi: "-1*pi/2" }, wires: [0] }, + { name: "rx", params: { theta: "pi/2" }, wires: [0] }, + { name: "rz", params: { phi: "phi/2" }, wires: [0] }, + { name: "rx", params: { theta: "-1*pi/2" }, wires: [0] }, + { name: "rz", params: { phi: "pi/2" }, wires: [1] }, + { name: "rx", params: { theta: "pi/2" }, wires: [1] }, + { name: "rz", params: { phi: "phi/2" }, wires: [1] }, + { name: "rx", params: { theta: "-1*pi/2" }, wires: [1] }, + { name: "cz", wires: [1, 0] }, + { name: "rz", params: { phi: "-1*pi/2" }, wires: [0] }, + { name: "rx", params: { theta: "pi/2" }, wires: [0] }, + { name: "rz", params: { phi: "pi/4" }, wires: [0] }, + { name: "rz", params: { phi: "-1*pi/2" }, wires: [1] }, + { name: "rx", params: { theta: "-1*pi/2" }, wires: [1] }, + { name: "rz", params: { phi: "3*pi/4" }, wires: [1] } + ] + }, + qiskit: { + equivalent: [ + { name: "rz", params: { phi: "3*pi/4" }, wires: [0] }, + { name: "rx", params: { theta: "pi/2" }, wires: [0] }, + { name: "rz", params: { phi: "-3*pi/4" }, wires: [1] }, + { name: "rx", params: { theta: "pi/2" }, wires: [1] }, + { name: "cz", wires: [1, 0] }, + { name: "rz", params: { phi: "-1*pi/2" }, wires: [0] }, + { name: "rx", params: { theta: "pi/2" }, wires: [0] }, + { name: "rz", params: { phi: "phi/2" }, wires: [0] }, + { name: "rx", params: { theta: "-1*pi/2" }, wires: [0] }, + { name: "rz", params: { phi: "pi/2" }, wires: [1] }, + { name: "rx", params: { theta: "pi/2" }, wires: [1] }, + { name: "rz", params: { phi: "phi/2" }, wires: [1] }, + { name: "rx", params: { theta: "-1*pi/2" }, wires: [1] }, + { name: "cz", wires: [1, 0] }, + { name: "rz", params: { phi: "-1*pi/2" }, wires: [0] }, + { name: "rx", params: { theta: "pi/2" }, wires: [0] }, + { name: "rz", params: { phi: "pi/4" }, wires: [0] }, + { name: "rz", params: { phi: "-1*pi/2" }, wires: [1] }, + { name: "rx", params: { theta: "-1*pi/2" }, wires: [1] }, + { name: "rz", params: { phi: "3*pi/4" }, wires: [1] } + ] + }, + cirq: { + name: "xy", + params: ["phi"], + array: "[[1, 0, 0, 0], [0, np.cos(p_phi/2), 1j*np.sin(p_phi/2), 0], [0, 1j*np.sin(p_phi/2), np.cos(p_phi/2), 0], [0, 0, 0, 1]]", + notTfqSupported: !0 + }, + braket: { + name: "xy", + params: ["phi"] + }, + aqasm: { + matrix: [[1, 0, 0, 0], [0, "cos(phi / 2)", "i * sin(phi / 2)", 0], [0, "i * sin(phi / 2)", "cos(phi / 2)", 0], [0, 0, 0, 1]], + array: "[[1, 0, 0, 0], [0, np.cos(p_phi/2), 1j*np.sin(p_phi/2), 0], [0, 1j*np.sin(p_phi/2), np.cos(p_phi/2), 0], [0, 0, 0, 1]]", + params: ["phi"] + } + } + }, + ms: { + description: "Mølmer-Sørensen gate", + matrix: [ + ["1/sqrt(2)", 0, 0, "(-i*exp(-i*(phi0+phi1)))/sqrt(2)"], + [0, "1/sqrt(2)", "(-i*exp(-i*(phi0-phi1)))/sqrt(2)", 0], + [0, "(-i*exp(i*(phi0-phi1)))/sqrt(2)", "1/sqrt(2)", 0], + ["(-i*exp(i*(phi0+phi1)))/sqrt(2)", 0, 0, "1/sqrt(2)"] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: ["phi0", "phi1"], + drawingInfo: { + connectors: ["box", "box"], + label: "MS" + }, + exportInfo: { + quil: { + name: "ms", + params: ["phi0", "phi1"], + defgate: `DEFGATE ms(%phi0, %phi1): 1/SQRT(2), 0, 0, (-i*EXP(-i*(%phi0+%phi1)))/SQRT(2) 0, 1/SQRT(2), (-i*EXP(-i*(%phi0-%phi1)))/SQRT(2), 0 0, (-i*EXP(i*(%phi0-%phi1)))/SQRT(2), 1/SQRT(2), 0 (-i*EXP(i*(%phi0+%phi1)))/SQRT(2), 0, 0, 1/SQRT(2)` - }, - pyquil: { - name: "ms", - params: ["phi0", "phi1"], - array: "[ [ 1/quil_sqrt(2), 0, 0, (-1j*quil_exp(-1j*(p_phi0+p_phi1)))/quil_sqrt(2) ], [ 0, 1/quil_sqrt(2), (-1j*quil_exp(-1j*(p_phi0-p_phi1)))/quil_sqrt(2), 0 ], [ 0, (-1j*quil_exp(1j*(p_phi0-p_phi1)))/quil_sqrt(2), 1/quil_sqrt(2), 0 ], [ (-1j*quil_exp(1j*(p_phi0+p_phi1)))/quil_sqrt(2), 0, 0, 1/quil_sqrt(2) ] ]" - }, - cirq: { - name: "ms" - }, - quest: { - name: "ms", - //@TODO add function - func: "TODO" - }, - qasm: { - name: "ms" - }, - qiskit: { - name: "ms" - }, - braket: { - name: "unitary", - params: ["phi0", "phi1"], - array: "[ [ 1/np.sqrt(2), 0, 0, (-1j*np.exp(-1j*(p_phi0+p_phi1)))/np.sqrt(2) ], [ 0, 1/np.sqrt(2), (-1j*np.exp(-1j*(p_phi0-p_phi1)))/np.sqrt(2), 0 ], [ 0, (-1j*np.exp(1j*(p_phi0-p_phi1)))/np.sqrt(2), 1/np.sqrt(2), 0 ], [ (-1j*np.exp(1j*(p_phi0+p_phi1)))/np.sqrt(2), 0, 0, 1/np.sqrt(2) ] ]" - }, - aqasm: { - matrix: [["1/sqrt(2)", 0, 0, "(-1i*exp(-1i*(phi0+phi1)))/sqrt(2)"], [0, "1/sqrt(2)", "(-1i*exp(-1i*(phi0-phi1)))/sqrt(2)", 0], [0, "(-1i*exp(1i*(phi0-phi1)))/sqrt(2)", "1/sqrt(2)", 0], ["(-1i*exp(1i*(phi0+phi1)))/sqrt(2)", 0, 0, "1/sqrt(2)"]], - array: "[ [ 1/np.sqrt(2), 0, 0, (-1j*np.exp(-1j*(p_phi0+p_phi1)))/np.sqrt(2) ], [ 0, 1/np.sqrt(2), (-1j*np.exp(-1j*(p_phi0-p_phi1)))/np.sqrt(2), 0 ], [ 0, (-1j*np.exp(1j*(p_phi0-p_phi1)))/np.sqrt(2), 1/np.sqrt(2), 0 ], [ (-1j*np.exp(1j*(p_phi0+p_phi1)))/np.sqrt(2), 0, 0, 1/np.sqrt(2) ] ]", - params: ["phi0", "phi1"] - }, - ionq: { - name: "ms", - paramsKey: "phases" - } - } - }, - cr2: { - description: "Controlled PI/2 rotation over Z-axis", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, 1, 0], - [0, 0, 0, "exp(i * pi / 2)"] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: [], - drawingInfo: { - connectors: ["dot", "box"], - label: "Z𝛑/2", - root: "r2" - }, - exportInfo: { - quil: { - replacement: { - name: "cu1", - params: { - lambda: "pi/2" - } + }, + pyquil: { + name: "ms", + params: ["phi0", "phi1"], + array: "[ [ 1/quil_sqrt(2), 0, 0, (-1j*quil_exp(-1j*(p_phi0+p_phi1)))/quil_sqrt(2) ], [ 0, 1/quil_sqrt(2), (-1j*quil_exp(-1j*(p_phi0-p_phi1)))/quil_sqrt(2), 0 ], [ 0, (-1j*quil_exp(1j*(p_phi0-p_phi1)))/quil_sqrt(2), 1/quil_sqrt(2), 0 ], [ (-1j*quil_exp(1j*(p_phi0+p_phi1)))/quil_sqrt(2), 0, 0, 1/quil_sqrt(2) ] ]" + }, + cirq: { + name: "ms" + }, + quest: { + name: "ms", + //@TODO add function + func: "TODO" + }, + qasm: { + name: "ms" + }, + qiskit: { + name: "ms" + }, + braket: { + name: "unitary", + params: ["phi0", "phi1"], + array: "[ [ 1/np.sqrt(2), 0, 0, (-1j*np.exp(-1j*(p_phi0+p_phi1)))/np.sqrt(2) ], [ 0, 1/np.sqrt(2), (-1j*np.exp(-1j*(p_phi0-p_phi1)))/np.sqrt(2), 0 ], [ 0, (-1j*np.exp(1j*(p_phi0-p_phi1)))/np.sqrt(2), 1/np.sqrt(2), 0 ], [ (-1j*np.exp(1j*(p_phi0+p_phi1)))/np.sqrt(2), 0, 0, 1/np.sqrt(2) ] ]" + }, + aqasm: { + matrix: [["1/sqrt(2)", 0, 0, "(-1i*exp(-1i*(phi0+phi1)))/sqrt(2)"], [0, "1/sqrt(2)", "(-1i*exp(-1i*(phi0-phi1)))/sqrt(2)", 0], [0, "(-1i*exp(1i*(phi0-phi1)))/sqrt(2)", "1/sqrt(2)", 0], ["(-1i*exp(1i*(phi0+phi1)))/sqrt(2)", 0, 0, "1/sqrt(2)"]], + array: "[ [ 1/np.sqrt(2), 0, 0, (-1j*np.exp(-1j*(p_phi0+p_phi1)))/np.sqrt(2) ], [ 0, 1/np.sqrt(2), (-1j*np.exp(-1j*(p_phi0-p_phi1)))/np.sqrt(2), 0 ], [ 0, (-1j*np.exp(1j*(p_phi0-p_phi1)))/np.sqrt(2), 1/np.sqrt(2), 0 ], [ (-1j*np.exp(1j*(p_phi0+p_phi1)))/np.sqrt(2), 0, 0, 1/np.sqrt(2) ] ]", + params: ["phi0", "phi1"] + }, + ionq: { + name: "ms", + paramsKey: "phases" + } + } + }, + cr2: { + description: "Controlled PI/2 rotation over Z-axis", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, "exp(i * pi / 2)"] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: [], + drawingInfo: { + connectors: ["dot", "box"], + label: "Z𝛑/2", + root: "r2" + }, + exportInfo: { + quil: { + replacement: { + name: "cu1", + params: { + lambda: "pi/2" } - }, - cirq: { - replacement: { - name: "cu1", - params: { - lambda: "pi/2" - } + } + }, + cirq: { + replacement: { + name: "cu1", + params: { + lambda: "pi/2" } - }, - quest: { - name: "controlledPhaseShift", - params: { theta: "M_PI/2" } - }, - qsharp: { - replacement: { - name: "cu1", - params: { - lambda: "pi/2" - } + } + }, + quest: { + name: "controlledPhaseShift", + params: { theta: "M_PI/2" } + }, + qsharp: { + replacement: { + name: "cu1", + params: { + lambda: "pi/2" } - }, - qasm: { - replacement: [ - { name: "cu1", params: { lambda: "pi/2" } } - ] - }, - qiskit: { - replacement: [ - { name: "cu1", params: { lambda: "pi/2" } } - ] - }, - quirk: { - name: "Z^½", - controlled: !0 - }, - braket: { - name: "unitary", - array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, np.exp(1j * np.pi / 2)] ]" - }, - aqasm: { - name: "S", - controlled: !0 - } - } - }, - cr4: { - description: "Controlled PI/4 rotation over Z-axis", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, 1, 0], - [0, 0, 0, "exp(i * pi / 4)"] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: [], - drawingInfo: { - connectors: ["dot", "box"], - label: "Z𝛑/4", - root: "r4" - }, - exportInfo: { - quil: { - replacement: { - name: "cu1", - params: { - lambda: "pi/4" - } + } + }, + qasm: { + replacement: [ + { name: "cu1", params: { lambda: "pi/2" } } + ] + }, + qiskit: { + replacement: [ + { name: "cu1", params: { lambda: "pi/2" } } + ] + }, + quirk: { + name: "Z^½", + controlled: !0 + }, + braket: { + name: "unitary", + array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, np.exp(1j * np.pi / 2)] ]" + }, + aqasm: { + name: "S", + controlled: !0 + } + } + }, + cr4: { + description: "Controlled PI/4 rotation over Z-axis", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, "exp(i * pi / 4)"] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: [], + drawingInfo: { + connectors: ["dot", "box"], + label: "Z𝛑/4", + root: "r4" + }, + exportInfo: { + quil: { + replacement: { + name: "cu1", + params: { + lambda: "pi/4" } - }, - cirq: { - replacement: { - name: "cu1", - params: { - lambda: "pi/4" - } + } + }, + cirq: { + replacement: { + name: "cu1", + params: { + lambda: "pi/4" } - }, - quest: { - name: "controlledPhaseShift", - params: { theta: "M_PI/4" } - }, - qsharp: { - replacement: { - name: "cu1", - params: { - lambda: "pi/4" - } + } + }, + quest: { + name: "controlledPhaseShift", + params: { theta: "M_PI/4" } + }, + qsharp: { + replacement: { + name: "cu1", + params: { + lambda: "pi/4" } - }, - qasm: { - replacement: [ - { name: "cu1", params: { lambda: "pi/4" } } - ] - }, - qiskit: { - replacement: [ - { name: "cu1", params: { lambda: "pi/4" } } - ] - }, - quirk: { - name: "Z^¼", - controlled: !0 - }, - braket: { - name: "unitary", - array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, np.exp(1j * np.pi / 4)] ]" - }, - aqasm: { - name: "T", - controlled: !0 - } - } - }, - cr8: { - description: "Controlled PI/8 rotation over Z-axis", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, 1, 0], - [0, 0, 0, "exp(i * pi / 8)"] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: [], - drawingInfo: { - connectors: ["dot", "box"], - label: "Z𝛑/8", - root: "r8" - }, - exportInfo: { - quil: { - replacement: { - name: "cu1", - params: { - lambda: "pi/8" - } + } + }, + qasm: { + replacement: [ + { name: "cu1", params: { lambda: "pi/4" } } + ] + }, + qiskit: { + replacement: [ + { name: "cu1", params: { lambda: "pi/4" } } + ] + }, + quirk: { + name: "Z^¼", + controlled: !0 + }, + braket: { + name: "unitary", + array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, np.exp(1j * np.pi / 4)] ]" + }, + aqasm: { + name: "T", + controlled: !0 + } + } + }, + cr8: { + description: "Controlled PI/8 rotation over Z-axis", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, "exp(i * pi / 8)"] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: [], + drawingInfo: { + connectors: ["dot", "box"], + label: "Z𝛑/8", + root: "r8" + }, + exportInfo: { + quil: { + replacement: { + name: "cu1", + params: { + lambda: "pi/8" } - }, - cirq: { - replacement: { - name: "cu1", - params: { - lambda: "pi/8" - } + } + }, + cirq: { + replacement: { + name: "cu1", + params: { + lambda: "pi/8" } - }, - quest: { - name: "controlledPhaseShift", - params: { theta: "M_PI/8" } - }, - qsharp: { - replacement: { - name: "cu1", - params: { - lambda: "pi/8" - } + } + }, + quest: { + name: "controlledPhaseShift", + params: { theta: "M_PI/8" } + }, + qsharp: { + replacement: { + name: "cu1", + params: { + lambda: "pi/8" } - }, - qasm: { - replacement: [ - { name: "cu1", params: { lambda: "pi/8" } } - ] - }, - qiskit: { - replacement: [ - { name: "cu1", params: { lambda: "pi/8" } } - ] - }, - quirk: { - name: "Z^⅛", - controlled: !0 - }, - braket: { - name: "unitary", - array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, np.exp(1j * np.pi / 8)] ]" - }, - aqasm: { - matrix: [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, "exp(i * pi / 8)"]], - array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, np.exp(1j * np.pi / 8)] ]" - } - } - }, - crx: { - description: "Controlled rotation around the X-axis by given angle", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, "cos(theta / 2)", "-i * sin(theta / 2)"], - [0, 0, "-i * sin(theta / 2)", "cos(theta / 2)"] - ], - numTargetQubits: 1, - numControlQubits: 1, - params: ["theta"], - drawingInfo: { - connectors: ["dot", "box"], - label: "RX", - root: "rx" - }, - exportInfo: { - quil: { - name: "crx", - params: ["theta"], - defgate: `DEFGATE crx(%theta): + } + }, + qasm: { + replacement: [ + { name: "cu1", params: { lambda: "pi/8" } } + ] + }, + qiskit: { + replacement: [ + { name: "cu1", params: { lambda: "pi/8" } } + ] + }, + quirk: { + name: "Z^⅛", + controlled: !0 + }, + braket: { + name: "unitary", + array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, np.exp(1j * np.pi / 8)] ]" + }, + aqasm: { + matrix: [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, "exp(i * pi / 8)"]], + array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, np.exp(1j * np.pi / 8)] ]" + } + } + }, + crx: { + description: "Controlled rotation around the X-axis by given angle", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, "cos(theta / 2)", "-i * sin(theta / 2)"], + [0, 0, "-i * sin(theta / 2)", "cos(theta / 2)"] + ], + numTargetQubits: 1, + numControlQubits: 1, + params: ["theta"], + drawingInfo: { + connectors: ["dot", "box"], + label: "RX", + root: "rx" + }, + exportInfo: { + quil: { + name: "crx", + params: ["theta"], + defgate: `DEFGATE crx(%theta): 1, 0, 0, 0 0, 1, 0, 0 0, 0, COS(%theta/2), -i*SIN(%theta/2) 0, 0, -i*SIN(%theta/2), COS(%theta/2)` - }, - cirq: { - replacement: { - name: "rx", - params: { theta: "theta" }, - type: "controlled", - notTfqSupported: !0 - } - }, - pyquil: { - name: "crx", - params: ["theta"], - array: "[[ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, quil_cos(p_theta / 2), -1j*quil_sin(p_theta / 2) ], [ 0, 0, -1j*quil_sin(p_theta / 2), quil_cos(p_theta / 2) ]]" - }, - quest: { - name: "controlledUnitary", - params: ["theta"], - matrix: [ - [["cos(theta/2)", "0"], ["0", "-sin(theta/2)"]], - [["0", "-sin(theta/2)"], ["cos(theta/2)", "0"]] - ] - }, - qsharp: { - name: "Controlled Rx", - params: ["theta"] - }, - qasm: { - replacement: [ - { name: "cu3", params: { theta: "theta", phi: "-1*pi/2", lambda: "pi/2" } } - ] - }, - qiskit: { - replacement: [ - { name: "cu3", params: { theta: "theta", phi: "-1*pi/2", lambda: "pi/2" } } - ] - }, - braket: { - name: "unitary", - params: ["theta"], - array: "[[ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, np.cos(p_theta / 2), -1j*np.sin(p_theta / 2) ], [ 0, 0, -1j*np.sin(p_theta / 2), np.cos(p_theta / 2) ]]" - }, - aqasm: { - name: "RX", - controlled: !0 - } - } - }, - cry: { - description: "Controlled rotation around the Y-axis by given angle", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, "cos(theta / 2)", "-1 * sin(theta / 2)"], - [0, 0, "sin(theta / 2)", "cos(theta / 2)"] - ], - numTargetQubits: 1, - numControlQubits: 1, - params: ["theta"], - drawingInfo: { - connectors: ["dot", "box"], - label: "RY", - root: "ry" - }, - exportInfo: { - quil: { - name: "cry", - params: ["theta"], - defgate: `DEFGATE cry(%theta): + }, + cirq: { + replacement: { + name: "rx", + params: { theta: "theta" }, + type: "controlled", + notTfqSupported: !0 + } + }, + pyquil: { + name: "crx", + params: ["theta"], + array: "[[ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, quil_cos(p_theta / 2), -1j*quil_sin(p_theta / 2) ], [ 0, 0, -1j*quil_sin(p_theta / 2), quil_cos(p_theta / 2) ]]" + }, + quest: { + name: "controlledUnitary", + params: ["theta"], + matrix: [ + [["cos(theta/2)", "0"], ["0", "-sin(theta/2)"]], + [["0", "-sin(theta/2)"], ["cos(theta/2)", "0"]] + ] + }, + qsharp: { + name: "Controlled Rx", + params: ["theta"] + }, + qasm: { + replacement: [ + { name: "cu3", params: { theta: "theta", phi: "-1*pi/2", lambda: "pi/2" } } + ] + }, + qiskit: { + replacement: [ + { name: "cu3", params: { theta: "theta", phi: "-1*pi/2", lambda: "pi/2" } } + ] + }, + braket: { + name: "unitary", + params: ["theta"], + array: "[[ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, np.cos(p_theta / 2), -1j*np.sin(p_theta / 2) ], [ 0, 0, -1j*np.sin(p_theta / 2), np.cos(p_theta / 2) ]]" + }, + aqasm: { + name: "RX", + controlled: !0 + } + } + }, + cry: { + description: "Controlled rotation around the Y-axis by given angle", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, "cos(theta / 2)", "-1 * sin(theta / 2)"], + [0, 0, "sin(theta / 2)", "cos(theta / 2)"] + ], + numTargetQubits: 1, + numControlQubits: 1, + params: ["theta"], + drawingInfo: { + connectors: ["dot", "box"], + label: "RY", + root: "ry" + }, + exportInfo: { + quil: { + name: "cry", + params: ["theta"], + defgate: `DEFGATE cry(%theta): 1, 0, 0, 0 0, 1, 0, 0 0, 0, COS(%theta/2), -1*SIN(%theta/2) 0, 0, SIN(%theta/2), COS(%theta/2)` - }, - cirq: { - replacement: { - name: "ry", - params: { theta: "theta" }, - type: "controlled", - notTfqSupported: !0 - } - }, - pyquil: { - name: "cry", - params: ["theta"], - array: "[[ 1, 0, 0, 0 ],[ 0, 1, 0, 0 ],[ 0, 0, quil_cos(p_theta / 2), -1*quil_sin(p_theta / 2) ],[ 0, 0, quil_sin(p_theta / 2), quil_cos(p_theta / 2) ]]" - }, - quest: { - name: "controlledUnitary", - params: ["theta"], - matrix: [ - [["cos(theta/2)", "0"], ["-sin(theta/2)", "0"]], - [["sin(theta/2)", "0"], ["cos(theta/2)", "0"]] - ] - }, - qsharp: { - name: "Controlled Ry", - params: ["theta"] - }, - qasm: { - equivalent: [ - { name: "u3", params: { theta: "theta/2", phi: "0", lambda: "0" }, wires: [1] }, - { name: "cx", wires: [0, 1] }, - { name: "u3", params: { theta: "-1*theta / 2", phi: "0", lambda: "0" }, wires: [1] }, - { name: "cx", wires: [0, 1] } - ] - }, - qiskit: { - equivalent: [ - { name: "u3", params: { theta: "theta/2", phi: "0", lambda: "0" }, wires: [1] }, - { name: "cx", wires: [0, 1] }, - { name: "u3", params: { theta: "-1*theta / 2", phi: "0", lambda: "0" }, wires: [1] }, - { name: "cx", wires: [0, 1] } - ] - }, - braket: { - name: "unitary", - params: ["theta"], - array: "[[ 1, 0, 0, 0 ],[ 0, 1, 0, 0 ],[ 0, 0, np.cos(p_theta / 2), -1*np.sin(p_theta / 2) ],[ 0, 0, np.sin(p_theta / 2), np.cos(p_theta / 2) ]]" - }, - aqasm: { - name: "RY", - controlled: !0 - } - } - }, - crz: { - description: "Controlled rotation around the Z-axis by given angle", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, "cos(phi / 2) - i * sin(phi / 2)", 0], - [0, 0, 0, "cos(phi / 2) + i * sin(phi / 2)"] - ], - numTargetQubits: 1, - numControlQubits: 1, - params: ["phi"], - drawingInfo: { - connectors: ["dot", "dot"], - label: "RZ", - root: "rz" - }, - exportInfo: { - quil: { - name: "crz", - params: ["phi"], - defgate: `DEFGATE crz(%phi): + }, + cirq: { + replacement: { + name: "ry", + params: { theta: "theta" }, + type: "controlled", + notTfqSupported: !0 + } + }, + pyquil: { + name: "cry", + params: ["theta"], + array: "[[ 1, 0, 0, 0 ],[ 0, 1, 0, 0 ],[ 0, 0, quil_cos(p_theta / 2), -1*quil_sin(p_theta / 2) ],[ 0, 0, quil_sin(p_theta / 2), quil_cos(p_theta / 2) ]]" + }, + quest: { + name: "controlledUnitary", + params: ["theta"], + matrix: [ + [["cos(theta/2)", "0"], ["-sin(theta/2)", "0"]], + [["sin(theta/2)", "0"], ["cos(theta/2)", "0"]] + ] + }, + qsharp: { + name: "Controlled Ry", + params: ["theta"] + }, + qasm: { + equivalent: [ + { name: "u3", params: { theta: "theta/2", phi: "0", lambda: "0" }, wires: [1] }, + { name: "cx", wires: [0, 1] }, + { name: "u3", params: { theta: "-1*theta / 2", phi: "0", lambda: "0" }, wires: [1] }, + { name: "cx", wires: [0, 1] } + ] + }, + qiskit: { + equivalent: [ + { name: "u3", params: { theta: "theta/2", phi: "0", lambda: "0" }, wires: [1] }, + { name: "cx", wires: [0, 1] }, + { name: "u3", params: { theta: "-1*theta / 2", phi: "0", lambda: "0" }, wires: [1] }, + { name: "cx", wires: [0, 1] } + ] + }, + braket: { + name: "unitary", + params: ["theta"], + array: "[[ 1, 0, 0, 0 ],[ 0, 1, 0, 0 ],[ 0, 0, np.cos(p_theta / 2), -1*np.sin(p_theta / 2) ],[ 0, 0, np.sin(p_theta / 2), np.cos(p_theta / 2) ]]" + }, + aqasm: { + name: "RY", + controlled: !0 + } + } + }, + crz: { + description: "Controlled rotation around the Z-axis by given angle", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, "cos(phi / 2) - i * sin(phi / 2)", 0], + [0, 0, 0, "cos(phi / 2) + i * sin(phi / 2)"] + ], + numTargetQubits: 1, + numControlQubits: 1, + params: ["phi"], + drawingInfo: { + connectors: ["dot", "dot"], + label: "RZ", + root: "rz" + }, + exportInfo: { + quil: { + name: "crz", + params: ["phi"], + defgate: `DEFGATE crz(%phi): 1, 0, 0, 0 0, 1, 0, 0 0, 0, COS(%phi / 2) - i * SIN(%phi / 2), 0 0, 0, 0, COS(%phi / 2) + i * SIN(%phi / 2)` - }, - pyquil: { - name: "crz", - params: ["phi"], - array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, quil_cos(p_phi / 2) - 1j * quil_sin(p_phi / 2), 0], [0, 0, 0, quil_cos(p_phi / 2) + 1j * quil_sin(p_phi / 2)]]" - }, - cirq: { - replacement: { - name: "rz", - params: { phi: "phi" }, - type: "controlled" - } - }, - quest: { - name: "controlledRotateZ", - params: ["theta"] - }, - qsharp: { - name: "Controlled Rz", - params: ["phi"] - }, - braket: { - name: "unitary", - params: ["phi"], - array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, np.cos(p_phi / 2) - 1j * np.sin(p_phi / 2), 0], [0, 0, 0, np.cos(p_phi / 2) + 1j * np.sin(p_phi / 2)]]" - }, - aqasm: { - name: "RZ", - controlled: !0 - } - } - }, - cu1: { - description: "Controlled rotation about the Z axis", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, 1, 0], - [0, 0, 0, "exp(i * lambda)"] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: ["lambda"], - drawingInfo: { - connectors: ["dot", "box"], - label: "CU1", - root: "u1" - }, - exportInfo: { - quil: { - name: "CPHASE", - params: ["lambda"] - }, - cirq: { - name: "cu1", - params: ["lambda"], - array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, np.exp(1j*p_lambda)]]", - notTfqSupported: !0 - }, - quest: { - name: "controlledPhaseShift", - params: ["theta"] - }, - braket: { - name: "unitary", - params: ["lambda"], - array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, np.exp(1j*p_lambda)]]" - }, - aqasm: { - name: "PH", - controlled: !0 - }, - qiskit: { - name: "cp" - } - } - }, - cu2: { - description: "Controlled rotation about the X+Z axis", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, "1 / sqrt(2)", "-exp(i * lambda) * 1 / sqrt(2)"], - [0, 0, "exp(i * phi) * 1 / sqrt(2)", "exp(i * lambda + i * phi) * 1 / sqrt(2)"] - ], - numTargetQubits: 1, - numControlQubits: 1, - params: ["phi", "lambda"], - drawingInfo: { - connectors: ["dot", "box"], - label: "CU2", - root: "u2" - }, - exportInfo: { - quil: { - name: "cu2", - params: ["phi", "lambda"], - defgate: `DEFGATE cu2(%phi, %lambda): + }, + pyquil: { + name: "crz", + params: ["phi"], + array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, quil_cos(p_phi / 2) - 1j * quil_sin(p_phi / 2), 0], [0, 0, 0, quil_cos(p_phi / 2) + 1j * quil_sin(p_phi / 2)]]" + }, + cirq: { + replacement: { + name: "rz", + params: { phi: "phi" }, + type: "controlled" + } + }, + quest: { + name: "controlledRotateZ", + params: ["theta"] + }, + qsharp: { + name: "Controlled Rz", + params: ["phi"] + }, + braket: { + name: "unitary", + params: ["phi"], + array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, np.cos(p_phi / 2) - 1j * np.sin(p_phi / 2), 0], [0, 0, 0, np.cos(p_phi / 2) + 1j * np.sin(p_phi / 2)]]" + }, + aqasm: { + name: "RZ", + controlled: !0 + } + } + }, + cu1: { + description: "Controlled rotation about the Z axis", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, "exp(i * lambda)"] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: ["lambda"], + drawingInfo: { + connectors: ["dot", "box"], + label: "CU1", + root: "u1" + }, + exportInfo: { + quil: { + name: "CPHASE", + params: ["lambda"] + }, + cirq: { + name: "cu1", + params: ["lambda"], + array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, np.exp(1j*p_lambda)]]", + notTfqSupported: !0 + }, + quest: { + name: "controlledPhaseShift", + params: ["theta"] + }, + braket: { + name: "unitary", + params: ["lambda"], + array: "[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, np.exp(1j*p_lambda)]]" + }, + aqasm: { + name: "PH", + controlled: !0 + }, + qiskit: { + name: "cp" + } + } + }, + cu2: { + description: "Controlled rotation about the X+Z axis", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, "1 / sqrt(2)", "-exp(i * lambda) * 1 / sqrt(2)"], + [0, 0, "exp(i * phi) * 1 / sqrt(2)", "exp(i * lambda + i * phi) * 1 / sqrt(2)"] + ], + numTargetQubits: 1, + numControlQubits: 1, + params: ["phi", "lambda"], + drawingInfo: { + connectors: ["dot", "box"], + label: "CU2", + root: "u2" + }, + exportInfo: { + quil: { + name: "cu2", + params: ["phi", "lambda"], + defgate: `DEFGATE cu2(%phi, %lambda): 1, 0, 0, 0 0, 1, 0, 0 0, 0, 1/SQRT(2), -1*EXP(i*%lambda)*1/SQRT(2) 0, 0, EXP(i*%phi)*1/SQRT(2), EXP(i*%lambda + i*%phi)*1/SQRT(2)` - }, - pyquil: { - name: "cu2", - params: ["phi", "lambda"], - array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1/quil_sqrt(2), -quil_exp(1j*p_lambda)*1/quil_sqrt(2)],[0, 0, quil_exp(1j*p_phi)*1/quil_sqrt(2), quil_exp(1j*p_lambda+1j*p_phi)*1/quil_sqrt(2)]]" - }, - cirq: { - name: "cu2", - params: ["phi", "lambda"], - array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1/np.sqrt(2), -np.exp(1j*p_lambda)*1/np.sqrt(2)],[0, 0, np.exp(1j*p_phi)*1/np.sqrt(2), np.exp(1j*p_lambda+1j*p_phi)*1/np.sqrt(2)]]", - notTfqSupported: !0 - }, - quest: { - name: "controlledUnitary", - params: ["phi", "lambda"], - matrix: [ - [["1/sqrt(2)", "0"], ["-cos(lambda)/sqrt(2)", "-sin(lambda)/sqrt(2)"]], - [["cos(phi)/sqrt(2)", "sin(phi)/sqrt(2)"], ["cos(lambda+phi)/sqrt(2)", "sin(lambda+phi)/sqrt(2)"]] - ] - }, - qasm: { - replacement: [ - { name: "cu3", params: { theta: "pi/2", phi: "phi", lambda: "lambda" } } - ] - }, - qiskit: { - replacement: [ - { name: "cu3", params: { theta: "pi/2", phi: "phi", lambda: "lambda" } } - ] - }, - braket: { - name: "unitary", - params: ["phi", "lambda"], - array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1/np.sqrt(2), -np.exp(1j*p_lambda)*1/np.sqrt(2)],[0, 0, np.exp(1j*p_phi)*1/np.sqrt(2), np.exp(1j*p_lambda+1j*p_phi)*1/np.sqrt(2)]]" - }, - aqasm: { - matrix: [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, "1 / sqrt(2)", "-exp(i * lambda) * 1 / sqrt(2)"], [0, 0, "exp(i * phi) * 1 / sqrt(2)", "exp(i * lambda + i * phi) * 1 / sqrt(2)"]], - array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1/np.sqrt(2), -np.exp(1j*p_lambda)*1/np.sqrt(2)],[0, 0, np.exp(1j*p_phi)*1/np.sqrt(2), np.exp(1j*p_lambda+1j*p_phi)*1/np.sqrt(2)]]", - params: ["phi", "lambda"] - } - } - }, - cu3: { - description: "Controlled rotation gate with 3 Euler angles", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, "cos(theta/2)", "-exp(i * lambda) * sin(theta / 2)"], - [0, 0, "exp(i * phi) * sin(theta / 2)", "exp(i * lambda + i * phi) * cos(theta / 2)"] - ], - numTargetQubits: 1, - numControlQubits: 1, - params: ["theta", "phi", "lambda"], - drawingInfo: { - connectors: ["dot", "box"], - label: "CU3", - root: "u3" - }, - exportInfo: { - quil: { - name: "cu3", - params: ["theta", "phi", "lambda"], - defgate: `DEFGATE cu3(%theta, %phi, %lambda): + }, + pyquil: { + name: "cu2", + params: ["phi", "lambda"], + array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1/quil_sqrt(2), -quil_exp(1j*p_lambda)*1/quil_sqrt(2)],[0, 0, quil_exp(1j*p_phi)*1/quil_sqrt(2), quil_exp(1j*p_lambda+1j*p_phi)*1/quil_sqrt(2)]]" + }, + cirq: { + name: "cu2", + params: ["phi", "lambda"], + array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1/np.sqrt(2), -np.exp(1j*p_lambda)*1/np.sqrt(2)],[0, 0, np.exp(1j*p_phi)*1/np.sqrt(2), np.exp(1j*p_lambda+1j*p_phi)*1/np.sqrt(2)]]", + notTfqSupported: !0 + }, + quest: { + name: "controlledUnitary", + params: ["phi", "lambda"], + matrix: [ + [["1/sqrt(2)", "0"], ["-cos(lambda)/sqrt(2)", "-sin(lambda)/sqrt(2)"]], + [["cos(phi)/sqrt(2)", "sin(phi)/sqrt(2)"], ["cos(lambda+phi)/sqrt(2)", "sin(lambda+phi)/sqrt(2)"]] + ] + }, + qasm: { + replacement: [ + { name: "cu3", params: { theta: "pi/2", phi: "phi", lambda: "lambda" } } + ] + }, + qiskit: { + replacement: [ + { name: "cu3", params: { theta: "pi/2", phi: "phi", lambda: "lambda" } } + ] + }, + braket: { + name: "unitary", + params: ["phi", "lambda"], + array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1/np.sqrt(2), -np.exp(1j*p_lambda)*1/np.sqrt(2)],[0, 0, np.exp(1j*p_phi)*1/np.sqrt(2), np.exp(1j*p_lambda+1j*p_phi)*1/np.sqrt(2)]]" + }, + aqasm: { + matrix: [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, "1 / sqrt(2)", "-exp(i * lambda) * 1 / sqrt(2)"], [0, 0, "exp(i * phi) * 1 / sqrt(2)", "exp(i * lambda + i * phi) * 1 / sqrt(2)"]], + array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1/np.sqrt(2), -np.exp(1j*p_lambda)*1/np.sqrt(2)],[0, 0, np.exp(1j*p_phi)*1/np.sqrt(2), np.exp(1j*p_lambda+1j*p_phi)*1/np.sqrt(2)]]", + params: ["phi", "lambda"] + } + } + }, + cu3: { + description: "Controlled rotation gate with 3 Euler angles", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, "cos(theta/2)", "-exp(i * lambda) * sin(theta / 2)"], + [0, 0, "exp(i * phi) * sin(theta / 2)", "exp(i * lambda + i * phi) * cos(theta / 2)"] + ], + numTargetQubits: 1, + numControlQubits: 1, + params: ["theta", "phi", "lambda"], + drawingInfo: { + connectors: ["dot", "box"], + label: "CU3", + root: "u3" + }, + exportInfo: { + quil: { + name: "cu3", + params: ["theta", "phi", "lambda"], + defgate: `DEFGATE cu3(%theta, %phi, %lambda): 1, 0, 0, 0 0, 1, 0, 0 0, 0, COS(%theta/2), -1*EXP(i*%lambda)*SIN(%theta/2) 0, 0, EXP(i*%phi)*SIN(%theta/2), EXP(i*%lambda + i*%phi)*COS(%theta/2)` - }, - pyquil: { - name: "cu3", - params: ["theta", "phi", "lambda"], - array: "[[1,0,0,0],[0,1,0,0],[0, 0, quil_cos(p_theta/2),-quil_exp(1j*p_lambda)*quil_sin(p_theta/2)],[0, 0, quil_exp(1j*p_phi)*quil_sin(p_theta/2),quil_exp(1j*p_lambda+1j*p_phi)*quil_cos(p_theta/2)]]" - }, - cirq: { - name: "cu3", - params: ["theta", "phi", "lambda"], - array: "[[1,0,0,0],[0,1,0,0],[0, 0, np.cos(p_theta/2),-np.exp(1j*p_lambda)*np.sin(p_theta/2)],[0, 0, np.exp(1j*p_phi)*np.sin(p_theta/2),np.exp(1j*p_lambda+1j*p_phi)*np.cos(p_theta/2)]]", - notTfqSupported: !0 - }, - quest: { - name: "controlledUnitary", - params: ["theta", "phi", "lambda"], - matrix: [ - [["cos(theta/2)", "0"], ["-cos(lambda)*sin(theta/2)", "-sin(lambda)*sin(theta/2)"]], - [["cos(phi)*sin(theta/2)", "sin(phi)*sin(theta/2)"], ["cos(lambda+phi)*cos(theta/2)", "sin(lambda+phi)*cos(theta/2)"]] - ] - }, - braket: { - name: "unitary", - params: ["theta", "phi", "lambda"], - array: "[[1,0,0,0],[0,1,0,0],[0, 0, np.cos(p_theta/2),-np.exp(1j*p_lambda)*np.sin(p_theta/2)],[0, 0, np.exp(1j*p_phi)*np.sin(p_theta/2),np.exp(1j*p_lambda+1j*p_phi)*np.cos(p_theta/2)]]" - }, - aqasm: { - matrix: [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, "cos(theta/2)", "-exp(i * lambda) * sin(theta / 2)"], [0, 0, "exp(i * phi) * sin(theta / 2)", "exp(i * lambda + i * phi) * cos(theta / 2)"]], - array: "[[1,0,0,0],[0,1,0,0],[0, 0, np.cos(p_theta/2),-np.exp(1j*p_lambda)*np.sin(p_theta/2)],[0, 0, np.exp(1j*p_phi)*np.sin(p_theta/2),np.exp(1j*p_lambda+1j*p_phi)*np.cos(p_theta/2)]]", - params: ["theta", "phi", "lambda"] - }, - qiskit: { - name: "cu" - } - } - }, - cs: { - description: "Controlled PI/2 rotation over Z-axis (synonym for `cr2`)", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, 1, 0], - [0, 0, 0, "exp(i * pi / 2)"] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: [], - drawingInfo: { - connectors: ["dot", "box"], - label: "S", - root: "s" - }, - exportInfo: { - quil: { - replacement: { - name: "cu1", - params: { - lambda: "pi/2" - } + }, + pyquil: { + name: "cu3", + params: ["theta", "phi", "lambda"], + array: "[[1,0,0,0],[0,1,0,0],[0, 0, quil_cos(p_theta/2),-quil_exp(1j*p_lambda)*quil_sin(p_theta/2)],[0, 0, quil_exp(1j*p_phi)*quil_sin(p_theta/2),quil_exp(1j*p_lambda+1j*p_phi)*quil_cos(p_theta/2)]]" + }, + cirq: { + name: "cu3", + params: ["theta", "phi", "lambda"], + array: "[[1,0,0,0],[0,1,0,0],[0, 0, np.cos(p_theta/2),-np.exp(1j*p_lambda)*np.sin(p_theta/2)],[0, 0, np.exp(1j*p_phi)*np.sin(p_theta/2),np.exp(1j*p_lambda+1j*p_phi)*np.cos(p_theta/2)]]", + notTfqSupported: !0 + }, + quest: { + name: "controlledUnitary", + params: ["theta", "phi", "lambda"], + matrix: [ + [["cos(theta/2)", "0"], ["-cos(lambda)*sin(theta/2)", "-sin(lambda)*sin(theta/2)"]], + [["cos(phi)*sin(theta/2)", "sin(phi)*sin(theta/2)"], ["cos(lambda+phi)*cos(theta/2)", "sin(lambda+phi)*cos(theta/2)"]] + ] + }, + braket: { + name: "unitary", + params: ["theta", "phi", "lambda"], + array: "[[1,0,0,0],[0,1,0,0],[0, 0, np.cos(p_theta/2),-np.exp(1j*p_lambda)*np.sin(p_theta/2)],[0, 0, np.exp(1j*p_phi)*np.sin(p_theta/2),np.exp(1j*p_lambda+1j*p_phi)*np.cos(p_theta/2)]]" + }, + aqasm: { + matrix: [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, "cos(theta/2)", "-exp(i * lambda) * sin(theta / 2)"], [0, 0, "exp(i * phi) * sin(theta / 2)", "exp(i * lambda + i * phi) * cos(theta / 2)"]], + array: "[[1,0,0,0],[0,1,0,0],[0, 0, np.cos(p_theta/2),-np.exp(1j*p_lambda)*np.sin(p_theta/2)],[0, 0, np.exp(1j*p_phi)*np.sin(p_theta/2),np.exp(1j*p_lambda+1j*p_phi)*np.cos(p_theta/2)]]", + params: ["theta", "phi", "lambda"] + }, + qiskit: { + name: "cu" + } + } + }, + cs: { + description: "Controlled PI/2 rotation over Z-axis (synonym for `cr2`)", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, "exp(i * pi / 2)"] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: [], + drawingInfo: { + connectors: ["dot", "box"], + label: "S", + root: "s" + }, + exportInfo: { + quil: { + replacement: { + name: "cu1", + params: { + lambda: "pi/2" } - }, - cirq: { - replacement: { - name: "cu1", - params: { - lambda: "pi/2" - } + } + }, + cirq: { + replacement: { + name: "cu1", + params: { + lambda: "pi/2" } - }, - quest: { - name: "controlledPhaseShift", - params: { theta: "M_PI/2" } - }, - qsharp: { - replacement: { - name: "cu1", - params: { - lambda: "pi/2" - } + } + }, + quest: { + name: "controlledPhaseShift", + params: { theta: "M_PI/2" } + }, + qsharp: { + replacement: { + name: "cu1", + params: { + lambda: "pi/2" } - }, - qasm: { - replacement: [ - { name: "cu1", params: { lambda: "pi/2" } } - ] - }, - qiskit: { - replacement: [ - { name: "cu1", params: { lambda: "pi/2" } } - ] - }, - quirk: { - name: "Z^½", - controlled: !0 - }, - braket: { - name: "unitary", - array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1, 0],[0, 0, 0, np.exp(1j * np.pi / 2)]]" - }, - aqasm: { - name: "S", - controlled: !0 - } - } - }, - ct: { - description: "Controlled PI/4 rotation over Z-axis (synonym for `cr4`)", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, 1, 0], - [0, 0, 0, "exp(i * pi / 4)"] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: [], - drawingInfo: { - connectors: ["dot", "box"], - label: "T", - root: "t" - }, - exportInfo: { - quil: { - replacement: { - name: "cu1", - params: { - lambda: "pi/4" - } + } + }, + qasm: { + replacement: [ + { name: "cu1", params: { lambda: "pi/2" } } + ] + }, + qiskit: { + replacement: [ + { name: "cu1", params: { lambda: "pi/2" } } + ] + }, + quirk: { + name: "Z^½", + controlled: !0 + }, + braket: { + name: "unitary", + array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1, 0],[0, 0, 0, np.exp(1j * np.pi / 2)]]" + }, + aqasm: { + name: "S", + controlled: !0 + } + } + }, + ct: { + description: "Controlled PI/4 rotation over Z-axis (synonym for `cr4`)", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, "exp(i * pi / 4)"] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: [], + drawingInfo: { + connectors: ["dot", "box"], + label: "T", + root: "t" + }, + exportInfo: { + quil: { + replacement: { + name: "cu1", + params: { + lambda: "pi/4" } - }, - cirq: { - replacement: { - name: "cu1", - params: { - lambda: "pi/4" - } + } + }, + cirq: { + replacement: { + name: "cu1", + params: { + lambda: "pi/4" } - }, - quest: { - name: "controlledPhaseShift", - params: { theta: "M_PI/4" } - }, - qsharp: { - replacement: { - name: "cu1", - params: { - lambda: "pi/4" - } + } + }, + quest: { + name: "controlledPhaseShift", + params: { theta: "M_PI/4" } + }, + qsharp: { + replacement: { + name: "cu1", + params: { + lambda: "pi/4" } - }, - qasm: { - replacement: [ - { name: "cu1", params: { lambda: "pi/4" } } - ] - }, - qiskit: { - replacement: [ - { name: "cu1", params: { lambda: "pi/4" } } - ] - }, - quirk: { - name: "Z^¼", - controlled: !0 - }, - braket: { - name: "unitary", - array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1, 0],[0, 0, 0, np.exp(1j * np.pi / 4)]]" - }, - aqasm: { - name: "T", - controlled: !0 - } - } - }, - csdg: { - description: "Controlled (-PI/2) rotation over Z-axis", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, 1, 0], - [0, 0, 0, "exp(-i * pi / 2)"] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: [], - drawingInfo: { - connectors: ["dot", "box"], - label: "S†", - root: "sdg" - }, - exportInfo: { - quil: { - replacement: { - name: "cu1", - params: { - lambda: "-pi/2" - } + } + }, + qasm: { + replacement: [ + { name: "cu1", params: { lambda: "pi/4" } } + ] + }, + qiskit: { + replacement: [ + { name: "cu1", params: { lambda: "pi/4" } } + ] + }, + quirk: { + name: "Z^¼", + controlled: !0 + }, + braket: { + name: "unitary", + array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1, 0],[0, 0, 0, np.exp(1j * np.pi / 4)]]" + }, + aqasm: { + name: "T", + controlled: !0 + } + } + }, + csdg: { + description: "Controlled (-PI/2) rotation over Z-axis", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, "exp(-i * pi / 2)"] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: [], + drawingInfo: { + connectors: ["dot", "box"], + label: "S†", + root: "sdg" + }, + exportInfo: { + quil: { + replacement: { + name: "cu1", + params: { + lambda: "-pi/2" } - }, - cirq: { - replacement: { - name: "cu1", - params: { - lambda: "-pi/2" - } + } + }, + cirq: { + replacement: { + name: "cu1", + params: { + lambda: "-pi/2" } - }, - quest: { - name: "controlledPhaseShift", - params: { theta: "-M_PI/2" } - }, - qsharp: { - replacement: { - name: "cu1", - params: { - lambda: "-pi/2" - } + } + }, + quest: { + name: "controlledPhaseShift", + params: { theta: "-M_PI/2" } + }, + qsharp: { + replacement: { + name: "cu1", + params: { + lambda: "-pi/2" } - }, - qasm: { - replacement: [ - { name: "cu1", params: { lambda: "-1*pi/2" } } - ] - }, - qiskit: { - replacement: [ - { name: "cu1", params: { lambda: "-1*pi/2" } } - ] - }, - quirk: { - name: "Z^-½", - controlled: !0 - }, - braket: { - name: "unitary", - array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1, 0],[0, 0, 0, np.exp(-1j * np.pi / 2)]]" - }, - aqasm: { - name: "S", - controlled: !0, - dagger: !0 - } - } - }, - ctdg: { - description: "Controlled (-PI/4) rotation over Z-axis", - matrix: [ - [1, 0, 0, 0], - [0, 1, 0, 0], - [0, 0, 1, 0], - [0, 0, 0, "exp(-i * pi / 4)"] - ], - numTargetQubits: 2, - numControlQubits: 0, - params: [], - drawingInfo: { - connectors: ["dot", "box"], - label: "T†", - root: "tdg" - }, - exportInfo: { - quil: { - replacement: { - name: "cu1", - params: { - lambda: "-pi/4" - } + } + }, + qasm: { + replacement: [ + { name: "cu1", params: { lambda: "-1*pi/2" } } + ] + }, + qiskit: { + replacement: [ + { name: "cu1", params: { lambda: "-1*pi/2" } } + ] + }, + quirk: { + name: "Z^-½", + controlled: !0 + }, + braket: { + name: "unitary", + array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1, 0],[0, 0, 0, np.exp(-1j * np.pi / 2)]]" + }, + aqasm: { + name: "S", + controlled: !0, + dagger: !0 + } + } + }, + ctdg: { + description: "Controlled (-PI/4) rotation over Z-axis", + matrix: [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, "exp(-i * pi / 4)"] + ], + numTargetQubits: 2, + numControlQubits: 0, + params: [], + drawingInfo: { + connectors: ["dot", "box"], + label: "T†", + root: "tdg" + }, + exportInfo: { + quil: { + replacement: { + name: "cu1", + params: { + lambda: "-pi/4" } - }, - cirq: { - replacement: { - name: "cu1", - params: { - lambda: "-pi/4" - } + } + }, + cirq: { + replacement: { + name: "cu1", + params: { + lambda: "-pi/4" } - }, - quest: { - name: "controlledPhaseShift", - params: { theta: "-M_PI/4" } - }, - qsharp: { - replacement: { - name: "cu1", - params: { - lambda: "-pi/4" - } + } + }, + quest: { + name: "controlledPhaseShift", + params: { theta: "-M_PI/4" } + }, + qsharp: { + replacement: { + name: "cu1", + params: { + lambda: "-pi/4" } - }, - qasm: { - replacement: [ - { name: "cu1", params: { lambda: "-1*pi/4" } } - ] - }, - qiskit: { - replacement: [ - { name: "cu1", params: { lambda: "-1*pi/4" } } - ] - }, - quirk: { - name: "Z^-¼", - controlled: !0 - }, - braket: { - name: "unitary", - array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1, 0],[0, 0, 0, np.exp(-1j * np.pi / 4)]]" - }, - aqasm: { - name: "T", - controlled: !0, - dagger: !0 - } - } - }, - ccx: { - description: 'Toffoli aka "CCNOT" gate', - matrix: [ - [1, 0, 0, 0, 0, 0, 0, 0], - [0, 1, 0, 0, 0, 0, 0, 0], - [0, 0, 1, 0, 0, 0, 0, 0], - [0, 0, 0, 1, 0, 0, 0, 0], - [0, 0, 0, 0, 1, 0, 0, 0], - [0, 0, 0, 0, 0, 1, 0, 0], - [0, 0, 0, 0, 0, 0, 0, 1], - [0, 0, 0, 0, 0, 0, 1, 0] - ], - numTargetQubits: 1, - numControlQubits: 2, - params: [], - drawingInfo: { - connectors: ["dot", "dot", "not"], - label: "CCNOT", - root: "x" - }, - exportInfo: { - quil: { - name: "CCNOT" - }, - cirq: { - name: "CCX", - notTfqSupported: !0 - }, - quest: { - name: "ccx", - func: `void ccx(Qureg qubits, const int q1, const int q2, const int q3) { + } + }, + qasm: { + replacement: [ + { name: "cu1", params: { lambda: "-1*pi/4" } } + ] + }, + qiskit: { + replacement: [ + { name: "cu1", params: { lambda: "-1*pi/4" } } + ] + }, + quirk: { + name: "Z^-¼", + controlled: !0 + }, + braket: { + name: "unitary", + array: "[[1,0,0,0],[0,1,0,0],[0, 0, 1, 0],[0, 0, 0, np.exp(-1j * np.pi / 4)]]" + }, + aqasm: { + name: "T", + controlled: !0, + dagger: !0 + } + } + }, + ccx: { + description: 'Toffoli aka "CCNOT" gate', + matrix: [ + [1, 0, 0, 0, 0, 0, 0, 0], + [0, 1, 0, 0, 0, 0, 0, 0], + [0, 0, 1, 0, 0, 0, 0, 0], + [0, 0, 0, 1, 0, 0, 0, 0], + [0, 0, 0, 0, 1, 0, 0, 0], + [0, 0, 0, 0, 0, 1, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 1], + [0, 0, 0, 0, 0, 0, 1, 0] + ], + numTargetQubits: 1, + numControlQubits: 2, + params: [], + drawingInfo: { + connectors: ["dot", "dot", "not"], + label: "CCNOT", + root: "x" + }, + exportInfo: { + quil: { + name: "CCNOT" + }, + cirq: { + name: "CCX", + notTfqSupported: !0 + }, + quest: { + name: "ccx", + func: `void ccx(Qureg qubits, const int q1, const int q2, const int q3) { hadamard(qubits, q3); controlledNot(qubits, q2, q3); phaseShift(qubits, q3, -M_PI/4); @@ -2777,49 +44195,49 @@ var pt = nt((ut, tt) => { phaseShift(qubits, q2, -M_PI/4); controlledNot(qubits, q1, q2); }` - }, - qsharp: { - name: "CCNOT" - }, - quirk: { - name: "X", - controlled: !0 - }, - braket: { - name: "ccnot" - }, - aqasm: { - name: "CCNOT" - } - } - }, - cswap: { - description: 'Controlled swap aka "Fredkin" gate', - matrix: [ - [1, 0, 0, 0, 0, 0, 0, 0], - [0, 1, 0, 0, 0, 0, 0, 0], - [0, 0, 1, 0, 0, 0, 0, 0], - [0, 0, 0, 1, 0, 0, 0, 0], - [0, 0, 0, 0, 1, 0, 0, 0], - [0, 0, 0, 0, 0, 0, 1, 0], - [0, 0, 0, 0, 0, 1, 0, 0], - [0, 0, 0, 0, 0, 0, 0, 1] - ], - numTargetQubits: 2, - numControlQubits: 1, - params: [], - drawingInfo: { - connectors: ["dot", "x", "x"], - label: "SWP", - root: "swap" - }, - exportInfo: { - cirq: { - name: "CSWAP" - }, - quest: { - name: "cswap", - func: `void cswap(Qureg qubits, const int q1, const int q2, const int q3) { + }, + qsharp: { + name: "CCNOT" + }, + quirk: { + name: "X", + controlled: !0 + }, + braket: { + name: "ccnot" + }, + aqasm: { + name: "CCNOT" + } + } + }, + cswap: { + description: 'Controlled swap aka "Fredkin" gate', + matrix: [ + [1, 0, 0, 0, 0, 0, 0, 0], + [0, 1, 0, 0, 0, 0, 0, 0], + [0, 0, 1, 0, 0, 0, 0, 0], + [0, 0, 0, 1, 0, 0, 0, 0], + [0, 0, 0, 0, 1, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 1, 0], + [0, 0, 0, 0, 0, 1, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 1] + ], + numTargetQubits: 2, + numControlQubits: 1, + params: [], + drawingInfo: { + connectors: ["dot", "x", "x"], + label: "SWP", + root: "swap" + }, + exportInfo: { + cirq: { + name: "CSWAP" + }, + quest: { + name: "cswap", + func: `void cswap(Qureg qubits, const int q1, const int q2, const int q3) { controlledNot(qubits, q3, q2); hadamard(qubits, q3); controlledNot(qubits, q2, q3); @@ -2838,66 +44256,66 @@ var pt = nt((ut, tt) => { controlledNot(qubits, q2, q3); controlledNot(qubits, q3, q2); }` - }, - qsharp: { - name: "Controlled SWAP" - }, - quil: { - name: "CSWAP" - }, - pyquil: { - name: "CSWAP" - }, - quirk: { - name: "Swap", - controlled: !0 - }, - braket: { - name: "unitary", - array: "[[1,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0], [0,0,1,0,0,0,0,0], [0,0,0,1,0,0,0,0], [0,0,0,0,1,0,0,0], [0,0,0,0,0,0,1,0], [0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,1]]" - }, - aqasm: { - name: "SWAP", - controlled: !0 - } - } - }, - csrswap: { - description: "Controlled square root of swap", - matrix: [ - [1, 0, 0, 0, 0, 0, 0, 0], - [0, 1, 0, 0, 0, 0, 0, 0], - [0, 0, 1, 0, 0, 0, 0, 0], - [0, 0, 0, 1, 0, 0, 0, 0], - [0, 0, 0, 0, 1, 0, 0, 0], - [0, 0, 0, 0, 0, "0.5 * (1 + i)", "0.5 * (1 - i)", 0], - [0, 0, 0, 0, 0, "0.5 * (1 - i)", "0.5 * (1 + i)", 0], - [0, 0, 0, 0, 0, 0, 0, 1] - ], - numTargetQubits: 2, - numControlQubits: 1, - params: [], - drawingInfo: { - connectors: ["dot", "box", "box"], - label: "√SWP", - root: "srswap" - }, - exportInfo: { - quest: { - name: "csrswap", - //@TODO add function - func: "TODO" - }, - cirq: { - replacement: { - name: "srswap", - type: "controlled", - notTfqSupported: !0 - } - }, - quil: { - name: "csrswap", - defgate: `DEFGATE csrswap: + }, + qsharp: { + name: "Controlled SWAP" + }, + quil: { + name: "CSWAP" + }, + pyquil: { + name: "CSWAP" + }, + quirk: { + name: "Swap", + controlled: !0 + }, + braket: { + name: "unitary", + array: "[[1,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0], [0,0,1,0,0,0,0,0], [0,0,0,1,0,0,0,0], [0,0,0,0,1,0,0,0], [0,0,0,0,0,0,1,0], [0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,1]]" + }, + aqasm: { + name: "SWAP", + controlled: !0 + } + } + }, + csrswap: { + description: "Controlled square root of swap", + matrix: [ + [1, 0, 0, 0, 0, 0, 0, 0], + [0, 1, 0, 0, 0, 0, 0, 0], + [0, 0, 1, 0, 0, 0, 0, 0], + [0, 0, 0, 1, 0, 0, 0, 0], + [0, 0, 0, 0, 1, 0, 0, 0], + [0, 0, 0, 0, 0, "0.5 * (1 + i)", "0.5 * (1 - i)", 0], + [0, 0, 0, 0, 0, "0.5 * (1 - i)", "0.5 * (1 + i)", 0], + [0, 0, 0, 0, 0, 0, 0, 1] + ], + numTargetQubits: 2, + numControlQubits: 1, + params: [], + drawingInfo: { + connectors: ["dot", "box", "box"], + label: "√SWP", + root: "srswap" + }, + exportInfo: { + quest: { + name: "csrswap", + //@TODO add function + func: "TODO" + }, + cirq: { + replacement: { + name: "srswap", + type: "controlled", + notTfqSupported: !0 + } + }, + quil: { + name: "csrswap", + defgate: `DEFGATE csrswap: 1, 0, 0, 0, 0, 0, 0, 0 0, 1, 0, 0, 0, 0, 0, 0 0, 0, 1, 0, 0, 0, 0, 0 @@ -2906,5504 +44324,5511 @@ var pt = nt((ut, tt) => { 0, 0, 0, 0, 0, 0.5+0.5i, 0.5-0.5i, 0 0, 0, 0, 0, 0, 0.5-0.5i, 0.5+0.5i, 0 0, 0, 0, 0, 0, 0, 0, 1` - }, - pyquil: { - name: "csrswap", - array: "[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0.5 * (1 + 1j),0.5 * (1 - 1j),0],[0,0,0,0,0,0.5 * (1 - 1j),0.5 * (1 + 1j),0],[0,0,0,0,0,0,0,1]]" - }, - braket: { - name: "unitary", - array: "[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0.5 * (1 + 1j),0.5 * (1 - 1j),0],[0,0,0,0,0,0.5 * (1 - 1j),0.5 * (1 + 1j),0],[0,0,0,0,0,0,0,1]]" - }, - aqasm: { - name: "SQRTSWAP", - controlled: !0 - } - } - }, - reset: { - description: "Resets qubit", - matrix: [], - params: [], - drawingInfo: { - connectors: ["box"], - label: "RST" - }, - exportInfo: { - quil: { - name: "RESET" - }, - cirq: { - name: "reset", - notTfqSupported: !0 - }, - quest: { - name: "reset", - //@TODO add function - func: "TODO" - }, - qsharp: { - name: "Reset" - } - } - }, - measure: { - description: "Measures qubit and stores chance (0 or 1) into classical bit", - matrix: [], - params: [], - drawingInfo: { - connectors: ["gauge"], - label: "" - }, - exportInfo: { - quil: { - name: "MEASURE" - }, - cirq: { - name: "measure" - }, - quest: { - name: "measure" - }, - qsharp: { - name: "M" - } - } - } - }, this.init(a); - }; - b.prototype.defaultHybridOptions = function() { - return { - optimizer: "Powell", - tolerance: 1e-3, - costFunction: { - python: "", - javascript: "" - } - }; - }; - b.prototype.init = function(a, t) { - t = t || {}, this.numQubits = a || 1, this.gates = [], this.partitionMap = [], this.partitionCount = 0, this.partitionInfo = {}, this.params = [], this.options = { - params: {}, - hybrid: !1, - hybridOptions: this.defaultHybridOptions() - }, t.keepCustomGates || (this.customGates = {}), this.cregs = {}, this.collapsed = [], this.prob = [], this.measureResetsQubit = !1, this.reverseBitOrder = !1, this.clear(); - }; - b.prototype.clearGates = function() { - this.gates = []; - for (var a = 0; a < this.numQubits; a++) - this.gates.push([]); - }; - b.prototype.clear = function() { - this.clearGates(), this.initState(); - }; - b.prototype.resetState = function() { - this.state = {}, this.stateBits = 0, this.partitionCache = {}; - for (var a in this.cregs) { - var t = this.cregs[a].length || 0; - this.cregs[a] = []; - for (var r = 0; r < t; r++) - this.cregs[a].push(0); - } - this.collapsed = [], this.prob = [], this.stats = { - duration: 0 - }; - }; - b.prototype.initState = function() { - this.resetState(), this.state[0] = x.complex(1, 0); - }; - b.prototype.formatComplex = function(a, t) { - return Yr(a.re, a.im, t); - }; - b.prototype.multiplySquareMatrices = function(a, t) { - for (var r = a.length, n = r, s = r, e = r, o = []; n--; ) - for (o[n] = [], s = r; s--; ) - for (o[n][s] = 0, e = r; e--; ) - a[n][e] && t[e][s] && (o[n][s] ? o[n][s] = x.add(o[n][s], x.multiply(a[n][e], t[e][s])) : o[n][s] = x.multiply(a[n][e], t[e][s])); - return o; - }; - b.prototype.isIdentityMatrix = function(a, t) { - typeof t == "undefined" && (t = 14); - for (var r = 0; r < a.length; r++) - for (var n = 0; n < a.length; n++) - if (x.round(a[r][n], t) != (r == n ? 1 : 0)) - return !1; - return !0; - }; - b.prototype.isUnitaryMatrix = function(a, t) { - return this.isIdentityMatrix(x.multiply(a, x.ctranspose(a)), t); - }; - b.prototype.isHermitianMatrix = function(a, t) { - var r = this.matrixDiff(a, x.ctranspose(a)); - return r <= x.pow(10, -1 * (t || 14)); - }; - b.prototype.matrixDiff = function(a, t) { - for (var r = 0, n = 0, s = 0; s < a.length; s++) - for (var e = a[s], o = t[s], u = 0; u < e.length; u++) { - var p = e[u], v = o[u], f = typeof p == "object" ? p : x.complex(p), h = typeof v == "object" ? v : x.complex(v), m = x.abs(x.subtract(f, h)); - r += m, n++; - } - var l = n ? r / n : 0; - return l; - }; - b.prototype.parseMathString = function(a) { - var t = [], r = function(e, o) { - if (e.isSymbolNode) { - if (e.name == "j") - return "i"; - t.indexOf(e.name) < 0 && t.push(e.name); - } - }, n = x.parse(a.replace(/[\t\n\r]/gm, "")), s = n.toString({ handler: r }); - return { - expression: s, - variables: t, - node: n - }; - }; - b.prototype.evalMathString = function(a, t) { - t = t || {}; - var r = this.parseMathString(a), n = x.evaluate(r.expression, t); - return n instanceof x.Matrix ? n.toArray() : n; - }; - b.prototype.parseMatrix = function(a, t) { - var r = this, n = null; - typeof a == "string" ? n = r.evalMathString(a, t) : n = a; - var s = []; - return n.map(function(e, o) { - Array.isArray(e) ? (s.push([]), e.map(function(u, p) { - typeof u == "string" ? s[o].push(r.evalMathString(u, t)) : s[o].push(u); - })) : typeof e == "string" ? s.push(r.evalMathString(e, t)) : s.push(e); - }), s; - }; - b.prototype.matrixHasComplexElement = function(a) { - for (var t = 0; t < a.length; t++) { - var r = a[t]; - if (r instanceof Array) - for (var n = 0; n < r.length; n++) { - var s = r[n]; - if (s instanceof x.Complex || typeof s == "object" && (s.mathjs && s.mathjs == "Complex" || s.type && s.type == "Complex")) - return !0; + }, + pyquil: { + name: "csrswap", + array: "[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0.5 * (1 + 1j),0.5 * (1 - 1j),0],[0,0,0,0,0,0.5 * (1 - 1j),0.5 * (1 + 1j),0],[0,0,0,0,0,0,0,1]]" + }, + braket: { + name: "unitary", + array: "[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0.5 * (1 + 1j),0.5 * (1 - 1j),0],[0,0,0,0,0,0.5 * (1 - 1j),0.5 * (1 + 1j),0],[0,0,0,0,0,0,0,1]]" + }, + aqasm: { + name: "SQRTSWAP", + controlled: !0 } - else if (r instanceof x.Complex || typeof r == "object" && (r.mathjs && r.mathjs == "Complex" || r.type && r.type == "Complex")) - return !0; - } - return !1; - }; - b.prototype.matrixZeroImagToReal = function(a) { - for (var t = 0; t < a.length; t++) { - var r = a[t]; - if (r instanceof Array) - for (var n = 0; n < r.length; n++) { - var s = r[n]; - (s instanceof x.Complex || typeof s == "object" && (s.mathjs && s.mathjs == "Complex" || s.type && s.type == "Complex")) && x.im(s) == 0 && (a[t][n] = x.re(s)); + } + }, + reset: { + description: "Resets qubit", + matrix: [], + params: [], + drawingInfo: { + connectors: ["box"], + label: "RST" + }, + exportInfo: { + quil: { + name: "RESET" + }, + cirq: { + name: "reset", + notTfqSupported: !0 + }, + quest: { + name: "reset", + //@TODO add function + func: "TODO" + }, + qsharp: { + name: "Reset" } - else - (r instanceof x.Complex || typeof r == "object" && (r.mathjs && r.mathjs == "Complex" || r.type && r.type == "Complex")) && x.im(r) == 0 && (a[t] = x.re(r)); + } + }, + measure: { + description: "Measures qubit and stores chance (0 or 1) into classical bit", + matrix: [], + params: [], + drawingInfo: { + connectors: ["gauge"], + label: "" + }, + exportInfo: { + quil: { + name: "MEASURE" + }, + cirq: { + name: "measure" + }, + quest: { + name: "measure" + }, + qsharp: { + name: "M" + } + } } - return a; - }; - b.prototype.stringifyMatrix = function(a, t) { - var r = this, n = a.toArray ? a.toArray() : a; - t = t || {}; - var s = !1; - t.fixedWidth && (s = this.matrixHasComplexElement(n)); - var e = ""; - return e += "[", n.map(function(o, u) { - u > 0 && (e += ","), t.minify ? e += " " : e += ` - `, o instanceof Array ? (e += "[", o.map(function(p, v) { - v > 0 && (e += ", "), p instanceof x.Complex ? e += r.formatComplex(p, t) : typeof p == "object" && (p.mathjs && p.mathjs == "Complex" || p.type && p.type == "Complex") ? e += Yr(p.re, p.im, t) : typeof p == "string" ? e += p : s ? e += Yr(p, 0, t) : e += Vr(p, t); - }), e += "]") : o instanceof x.Complex ? e += r.formatComplex(o, t) : typeof o == "object" && (o.mathjs && o.mathjs == "Complex" || o.type && o.type == "Complex") ? e += Yr(el.re, el.im, t) : typeof o == "string" ? e += o : s ? e += Yr(o, 0, t) : e += Vr(o, t); - }), n.length && (t.minify ? e += " " : e += ` -`), e += "]", e; - }; - b.prototype.matrixRe = function(a) { - for (var t = [], r = 0; r < a.length; r++) { - var n = a[r]; - if (Array.isArray(n)) { - for (var s = [], e = 0; e < n.length; e++) - typeof n[e] == "object" ? s.push(n[e].re) : s.push(n[e]); - t.push(s); - } else - typeof n == "object" ? s.push(n.re) : s.push(n); + }, this.init(e); +}; +ge.prototype.defaultHybridOptions = function() { + return { + optimizer: "Powell", + tolerance: 1e-3, + costFunction: { + python: "", + javascript: "" } - return t; }; - b.prototype.matrixIm = function(a) { - for (var t = [], r = 0; r < a.length; r++) { - var n = a[r]; - if (Array.isArray(n)) { - for (var s = [], e = 0; e < n.length; e++) - typeof n[e] == "object" ? s.push(n[e].im) : s.push(0); - t.push(s); - } else - typeof n == "object" ? s.push(n.im) : s.push(0); - } - return t; +}; +ge.prototype.init = function(t, e) { + e = e || {}, this.numQubits = t || 1, this.gates = [], this.partitionMap = [], this.partitionCount = 0, this.partitionInfo = {}, this.params = [], this.options = { + params: {}, + hybrid: !1, + hybridOptions: this.defaultHybridOptions() + }, e.keepCustomGates || (this.customGates = {}), this.cregs = {}, this.collapsed = [], this.prob = [], this.measureResetsQubit = !1, this.reverseBitOrder = !1, this.clear(); +}; +ge.prototype.clearGates = function() { + this.gates = []; + for (var t = 0; t < this.numQubits; t++) + this.gates.push([]); +}; +ge.prototype.clear = function() { + this.clearGates(), this.initState(); +}; +ge.prototype.resetState = function() { + this.state = {}, this.stateBits = 0, this.partitionCache = {}; + for (var t in this.cregs) { + var e = this.cregs[t].length || 0; + this.cregs[t] = []; + for (var r = 0; r < e; r++) + this.cregs[t].push(0); + } + this.collapsed = [], this.prob = [], this.stats = { + duration: 0 }; - b.prototype.matrixAbs = function(a) { - for (var t = [], r = 0; r < a.length; r++) { - var n = a[r]; - if (Array.isArray(n)) { - for (var s = [], e = 0; e < n.length; e++) - s.push(x.abs(n[e])); - t.push(s); - } else - t.push(x.abs(n)); +}; +ge.prototype.initState = function() { + this.resetState(), this.state[0] = Wt(1, 0); +}; +ge.prototype.formatComplex = function(t, e) { + return _s(t.re, t.im, e); +}; +ge.prototype.multiplySquareMatrices = function(t, e) { + for (var r = t.length, n = r, a = r, s = r, o = []; n--; ) + for (o[n] = [], a = r; a--; ) + for (o[n][a] = 0, s = r; s--; ) + t[n][s] && e[s][a] && (o[n][a] ? o[n][a] = ut(o[n][a], it(t[n][s], e[s][a])) : o[n][a] = it(t[n][s], e[s][a])); + return o; +}; +ge.prototype.isIdentityMatrix = function(t, e) { + typeof e > "u" && (e = 14); + for (var r = 0; r < t.length; r++) + for (var n = 0; n < t.length; n++) + if (kt(t[r][n], e) != (r == n ? 1 : 0)) + return !1; + return !0; +}; +ge.prototype.isUnitaryMatrix = function(t, e) { + return this.isIdentityMatrix(it(t, ss(t)), e); +}; +ge.prototype.isHermitianMatrix = function(t, e) { + var r = this.matrixDiff(t, ss(t)); + return r <= _t(10, -1 * (e || 14)); +}; +ge.prototype.matrixDiff = function(t, e) { + for (var r = 0, n = 0, a = 0; a < t.length; a++) + for (var s = t[a], o = e[a], p = 0; p < s.length; p++) { + var u = s[p], f = o[p], l = typeof u == "object" ? u : Wt(u), c = typeof f == "object" ? f : Wt(f), h = $t(Xt(l, c)); + r += h, n++; } - return t; - }; - b.prototype.matrixArg = function(a) { - for (var t = [], r = 0; r < a.length; r++) { - var n = a[r]; - if (Array.isArray(n)) { - for (var s = [], e = 0; e < n.length; e++) - s.push(x.arg(n[e])); - t.push(s); - } else - t.push(x.arg(n)); + var d = n ? r / n : 0; + return d; +}; +ge.prototype.parseMathString = function(t) { + var e = [], r = function(s, o) { + if (s.isSymbolNode) { + if (s.name == "j") + return "i"; + e.indexOf(s.name) < 0 && e.push(s.name); } - return t; + }, n = Et(t.replace(/[\t\n\r]/gm, "")), a = n.toString({ handler: r }); + return { + expression: a, + variables: e, + node: n }; - b.prototype.setCombinedState = function(a) { - for (var t = {}, r = 0, n = 0, s = 0; s < a.length; s++) { - var e = a[s]; - e.wires.map(function(T) { - T + 1 > n && (n = T + 1); +}; +ge.prototype.evalMathString = function(t, e) { + e = e || {}; + var r = this.parseMathString(t), n = Br(r.expression, e); + return n instanceof rs ? n.toArray() : n; +}; +ge.prototype.parseMatrix = function(t, e) { + var r = this, n = null; + typeof t == "string" ? n = r.evalMathString(t, e) : n = t; + var a = []; + return n.map(function(s, o) { + Array.isArray(s) ? (a.push([]), s.map(function(p, u) { + typeof p == "string" ? a[o].push(r.evalMathString(p, e)) : a[o].push(p); + })) : typeof s == "string" ? a.push(r.evalMathString(s, e)) : a.push(s); + }), a; +}; +ge.prototype.matrixHasComplexElement = function(t) { + for (var e = 0; e < t.length; e++) { + var r = t[e]; + if (r instanceof Array) + for (var n = 0; n < r.length; n++) { + var a = r[n]; + if (a instanceof Ft || typeof a == "object" && (a.mathjs && a.mathjs == "Complex" || a.type && a.type == "Complex")) + return !0; + } + else if (r instanceof Ft || typeof r == "object" && (r.mathjs && r.mathjs == "Complex" || r.type && r.type == "Complex")) + return !0; + } + return !1; +}; +ge.prototype.matrixZeroImagToReal = function(t) { + for (var e = 0; e < t.length; e++) { + var r = t[e]; + if (r instanceof Array) + for (var n = 0; n < r.length; n++) { + var a = r[n]; + (a instanceof Ft || typeof a == "object" && (a.mathjs && a.mathjs == "Complex" || a.type && a.type == "Complex")) && Ga(a) == 0 && (t[e][n] = Ha(a)); + } + else + (r instanceof Ft || typeof r == "object" && (r.mathjs && r.mathjs == "Complex" || r.type && r.type == "Complex")) && Ga(r) == 0 && (t[e] = Ha(r)); + } + return t; +}; +ge.prototype.stringifyMatrix = function(t, e) { + var r = this, n = t.toArray ? t.toArray() : t; + e = e || {}; + var a = !1; + e.fixedWidth && (a = this.matrixHasComplexElement(n)); + var s = ""; + return s += "[", n.map(function(o, p) { + p > 0 && (s += ","), e.minify ? s += " " : s += ` + `, o instanceof Array ? (s += "[", o.map(function(u, f) { + f > 0 && (s += ", "), u instanceof Ft ? s += r.formatComplex(u, e) : typeof u == "object" && (u.mathjs && u.mathjs == "Complex" || u.type && u.type == "Complex") ? s += _s(u.re, u.im, e) : typeof u == "string" ? s += u : a ? s += _s(u, 0, e) : s += Nu(u, e); + }), s += "]") : o instanceof Ft ? s += r.formatComplex(o, e) : typeof o == "object" && (o.mathjs && o.mathjs == "Complex" || o.type && o.type == "Complex") ? s += _s(el.re, el.im, e) : typeof o == "string" ? s += o : a ? s += _s(o, 0, e) : s += Nu(o, e); + }), n.length && (e.minify ? s += " " : s += ` +`), s += "]", s; +}; +ge.prototype.matrixRe = function(t) { + for (var e = [], r = 0; r < t.length; r++) { + var n = t[r]; + if (Array.isArray(n)) { + for (var a = [], s = 0; s < n.length; s++) + typeof n[s] == "object" ? a.push(n[s].re) : a.push(n[s]); + e.push(a); + } else + typeof n == "object" ? a.push(n.re) : a.push(n); + } + return e; +}; +ge.prototype.matrixIm = function(t) { + for (var e = [], r = 0; r < t.length; r++) { + var n = t[r]; + if (Array.isArray(n)) { + for (var a = [], s = 0; s < n.length; s++) + typeof n[s] == "object" ? a.push(n[s].im) : a.push(0); + e.push(a); + } else + typeof n == "object" ? a.push(n.im) : a.push(0); + } + return e; +}; +ge.prototype.matrixAbs = function(t) { + for (var e = [], r = 0; r < t.length; r++) { + var n = t[r]; + if (Array.isArray(n)) { + for (var a = [], s = 0; s < n.length; s++) + a.push($t(n[s])); + e.push(a); + } else + e.push($t(n)); + } + return e; +}; +ge.prototype.matrixArg = function(t) { + for (var e = [], r = 0; r < t.length; r++) { + var n = t[r]; + if (Array.isArray(n)) { + for (var a = [], s = 0; s < n.length; s++) + a.push(Rs(n[s])); + e.push(a); + } else + e.push(Rs(n)); + } + return e; +}; +ge.prototype.setCombinedState = function(t) { + for (var e = {}, r = 0, n = 0, a = 0; a < t.length; a++) { + var s = t[a]; + s.wires.map(function(N) { + N + 1 > n && (n = N + 1); + }); + } + for (var o = [], a = 0; a < t.length; a++) { + var s = t[a], p = []; + s.wires.map(function(C, x) { + p.push({ + and: 1 << n - 1 - C, + or: 1 << s.circuit.numQubits - 1 - x }); + }), o.push(p); + } + for (var u = 1 << n, f = 0; f < u; f++) { + for (var l = null, a = 0; a < t.length; a++) { + for (var c = o[a], h = 0, d = 0; d < c.length; d++) + f & c[d].and && (h |= c[d].or); + var s = t[a], g = s.circuit.state[h]; + g ? l == null ? l = g : l = it(g, l) : l = Wt(0, 0); } - for (var o = [], s = 0; s < a.length; s++) { - var e = a[s], u = []; - e.wires.map(function(S, O) { - u.push({ - and: 1 << n - 1 - S, - or: 1 << e.circuit.numQubits - 1 - O - }); - }), o.push(u); - } - for (var p = 1 << n, v = 0; v < p; v++) { - for (var f = null, s = 0; s < a.length; s++) { - for (var h = o[s], m = 0, l = 0; l < h.length; l++) - v & h[l].and && (m |= h[l].or); - var e = a[s], d = e.circuit.state[m]; - d ? f == null ? f = d : f = x.multiply(d, f) : f = x.complex(0, 0); - } - f && (f.re || f.im) && (t[v] = f, r |= v); - } - if (this.resetState(), this.numQubits < n) { - for (this.numQubits = n; this.gates.length < this.numQubits; ) - this.gates.push([]); - for (var c = this.numCols(), l = 0; l < this.gates.length; l++) - for (; this.gates[l].length < c; ) - this.gates[l].push(null); - } - this.state = t, this.stateBits = r, this.stateBits == 0 && Object.keys(this.state).length == 0 && (this.state[0] = x.complex(1, 0)); - }; - b.prototype._setCombinedState = function(a, t, r) { - r = r || {}; - var n = a.numQubits, s = t.numQubits; - if (!r.wireMap) { - r.wireMap = { - c1: [], - c2: [] - }; - for (var e = 0; e < n; e++) - r.wireMap.c1.push(e); - for (var e = 0; e < s; e++) - r.wireMap.c2.push(e + n); - } - var o = 0; - r.wireMap.c1.map(function(k) { - k + 1 > o && (o = k + 1); - }), r.wireMap.c2.map(function(k) { - k + 1 > o && (o = k + 1); - }); - var u = []; - r.wireMap.c1.map(function(k, Q) { - u.push({ and: 1 << o - 1 - k, or: 1 << n - 1 - Q }); - }); - var p = []; - r.wireMap.c2.map(function(k, Q) { - p.push({ and: 1 << o - 1 - k, or: 1 << s - 1 - Q }); - }); - for (var v = 0, e = 0; e < o; e++) - r.wireMap.c1.indexOf(e) < 0 && r.wireMap.c2.indexOf(e) < 0 && (v |= 1 << o - 1 - e); - for (var f = {}, h = 0, m = 1 << o, l = 0; l < m; l++) - if (!(l & v)) { - for (var d = 0, e = 0; e < u.length; e++) - l & u[e].and && (d |= u[e].or); - for (var c = 0, e = 0; e < p.length; e++) - l & p[e].and && (c |= p[e].or); - var T = a.state[d]; - if (T) { - var _ = t.state[c]; - if (_) { - var S = x.multiply(T, _); - (S.re || S.im) && (f[l] = S, h |= l); - } - } - } - if (this.resetState(), this.numQubits < o) { - for (this.numQubits = o; this.gates.length < this.numQubits; ) - this.gates.push([]); - for (var O = this.numCols(), e = 0; e < this.gates.length; e++) - for (; this.gates[e].length < O; ) - this.gates[e].push(null); - } - this.state = f, this.stateBits = h, this.stateBits == 0 && Object.keys(this.state).length == 0 && (this.state[0] = x.complex(1, 0)); - }; - b.prototype.appendQubits = function(a) { - var t = new b(a); - this._setCombinedState(this, t); - }; - b.prototype.numAmplitudes = function(a) { - if (a) { - var t = 0; - for (var r in this.state) { - var n = x.round(this.state[r], 14); - (n.re || n.im) && t++; + l && (l.re || l.im) && (e[f] = l, r |= f); + } + if (this.resetState(), this.numQubits < n) { + for (this.numQubits = n; this.gates.length < this.numQubits; ) + this.gates.push([]); + for (var v = this.numCols(), d = 0; d < this.gates.length; d++) + for (; this.gates[d].length < v; ) + this.gates[d].push(null); + } + this.state = e, this.stateBits = r, this.stateBits == 0 && Object.keys(this.state).length == 0 && (this.state[0] = Wt(1, 0)); +}; +ge.prototype._setCombinedState = function(t, e, r) { + r = r || {}; + var n = t.numQubits, a = e.numQubits; + if (!r.wireMap) { + r.wireMap = { + c1: [], + c2: [] + }; + for (var s = 0; s < n; s++) + r.wireMap.c1.push(s); + for (var s = 0; s < a; s++) + r.wireMap.c2.push(s + n); + } + var o = 0; + r.wireMap.c1.map(function(E) { + E + 1 > o && (o = E + 1); + }), r.wireMap.c2.map(function(E) { + E + 1 > o && (o = E + 1); + }); + var p = []; + r.wireMap.c1.map(function(E, D) { + p.push({ and: 1 << o - 1 - E, or: 1 << n - 1 - D }); + }); + var u = []; + r.wireMap.c2.map(function(E, D) { + u.push({ and: 1 << o - 1 - E, or: 1 << a - 1 - D }); + }); + for (var f = 0, s = 0; s < o; s++) + r.wireMap.c1.indexOf(s) < 0 && r.wireMap.c2.indexOf(s) < 0 && (f |= 1 << o - 1 - s); + for (var l = {}, c = 0, h = 1 << o, d = 0; d < h; d++) + if (!(d & f)) { + for (var g = 0, s = 0; s < p.length; s++) + d & p[s].and && (g |= p[s].or); + for (var v = 0, s = 0; s < u.length; s++) + d & u[s].and && (v |= u[s].or); + var N = t.state[g]; + if (N) { + var b = e.state[v]; + if (b) { + var C = it(N, b); + (C.re || C.im) && (l[d] = C, c |= d); + } } - return t; } - return x.pow(2, this.numQubits); - }; - b.prototype.numCols = function() { - return this.gates.length ? this.gates[0].length : 0; - }; - b.prototype.numGates = function(a) { - var t = null; - a ? (t = new b(), t.load(this.save(!0))) : t = this; - for (var r = 0, n = t.numCols(), s = 0; s < n; s++) - for (var e = 0; e < t.numQubits; e++) { - var o = t.getGateAt(s, e); - o && o.connector == 0 && r++; - } - return r; - }; - b.prototype.isEmptyCell = function(a, t) { - if (this.gates[t] && this.gates[t][a]) - return !1; - for (var r = 0; r < this.numQubits; r++) { - var n = this.getGateAt(a, r); - if (n && (n.name == "measure" || n.options && n.options.condition && n.options.condition.creg || Math.min.apply(null, n.wires) < t && Math.max.apply(null, n.wires) > t)) - return !1; + if (this.resetState(), this.numQubits < o) { + for (this.numQubits = o; this.gates.length < this.numQubits; ) + this.gates.push([]); + for (var x = this.numCols(), s = 0; s < this.gates.length; s++) + for (; this.gates[s].length < x; ) + this.gates[s].push(null); + } + this.state = l, this.stateBits = c, this.stateBits == 0 && Object.keys(this.state).length == 0 && (this.state[0] = Wt(1, 0)); +}; +ge.prototype.appendQubits = function(t) { + var e = new ge(t); + this._setCombinedState(this, e); +}; +ge.prototype.numAmplitudes = function(t) { + if (t) { + var e = 0; + for (var r in this.state) { + var n = kt(this.state[r], 14); + (n.re || n.im) && e++; } - return !0; - }; - b.prototype.isEmptyPlace = function(a, t, r) { - var n = Math.min.apply(null, t), s = Math.max.apply(null, t); - if (r) { - var e = this.numQubits - 1; - e > s && (s = e); + return e; + } + return _t(2, this.numQubits); +}; +ge.prototype.numCols = function() { + return this.gates.length ? this.gates[0].length : 0; +}; +ge.prototype.numGates = function(t) { + var e = null; + t ? (e = new ge(), e.load(this.save(!0))) : e = this; + for (var r = 0, n = e.numCols(), a = 0; a < n; a++) + for (var s = 0; s < e.numQubits; s++) { + var o = e.getGateAt(a, s); + o && o.connector == 0 && r++; + } + return r; +}; +ge.prototype.isEmptyCell = function(t, e) { + if (this.gates[e] && this.gates[e][t]) + return !1; + for (var r = 0; r < this.numQubits; r++) { + var n = this.getGateAt(t, r); + if (n && (n.name == "measure" || n.options && n.options.condition && n.options.condition.creg || Math.min.apply(null, n.wires) < e && Math.max.apply(null, n.wires) > e)) + return !1; + } + return !0; +}; +ge.prototype.isEmptyPlace = function(t, e, r) { + var n = Math.min.apply(null, e), a = Math.max.apply(null, e); + if (r) { + var s = this.numQubits - 1; + s > a && (a = s); + } + for (var o = !0, p = n; p <= a; p++) + if (!this.isEmptyCell(t, p)) { + o = !1; + break; } - for (var o = !0, u = n; u <= s; u++) - if (!this.isEmptyCell(a, u)) { - o = !1; + return o; +}; +ge.prototype.lastNonEmptyPlace = function(t, e) { + var r = this.numCols(), n = !0, a = Math.min.apply(null, t), s = Math.max.apply(null, t); + if (e) { + var o = this.numQubits - 1; + o > s && (s = o); + } + for (; n && r--; ) + for (var p = a; p <= s; p++) + if (!this.isEmptyCell(r, p)) { + n = !1; break; } - return o; - }; - b.prototype.lastNonEmptyPlace = function(a, t) { - var r = this.numCols(), n = !0, s = Math.min.apply(null, a), e = Math.max.apply(null, a); - if (t) { - var o = this.numQubits - 1; - o > e && (e = o); + return r; +}; +ge.prototype.insertColumn = function(t) { + for (var e = 0; e < this.numQubits; e++) + this.gates[e].splice(t || 0, 0, null); +}; +ge.prototype.randomString = function(t) { + t = t || 17; + var e = "", r = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz"; + e += r.charAt(Math.floor(Math.random() * r.length)), r += "0123456789"; + for (var n = 0; n < t; n++) + e += r.charAt(Math.floor(Math.random() * r.length)); + return e; +}; +ge.prototype.addGate = function(t, e, r, n) { + var a = []; + if (Array.isArray(r)) + for (var s = 0; s < r.length; s++) + a.push(r[s]); + else + a.push(r); + e < 0 && (e = this.lastNonEmptyPlace(a, t == "measure" || n && n.condition && n.condition.creg) + 1); + for (var o = a.length, p = this.randomString(), u = 0; u < o; u++) { + var f = a[u]; + for (f + 1 > this.numQubits && (this.numQubits = f + 1); this.gates.length < this.numQubits; ) + this.gates.push([]); + var l = this.numCols(); + e + 1 > l && (l = e + 1); + for (var s = 0; s < this.gates.length; s++) + for (; this.gates[s].length < l; ) + this.gates[s].push(null); + var c = { + id: p, + name: t, + connector: u, + options: {} + }; + if (n && (c.options = n, n.creg && n.creg.name && typeof n.creg.bit < "u")) { + var h = parseInt(n.creg.bit || 0); + isNaN(h) && (h = 0); + var d = this.cregs[n.creg.name] || [], g = d.length > h ? d[n.creg.bit] : 0; + this.setCregBit(n.creg.name, h, g); } - for (; n && r--; ) - for (var u = s; u <= e; u++) - if (!this.isEmptyCell(r, u)) { - n = !1; - break; - } - return r; - }; - b.prototype.insertColumn = function(a) { - for (var t = 0; t < this.numQubits; t++) - this.gates[t].splice(a || 0, 0, null); - }; - b.prototype.randomString = function(a) { - a = a || 17; - var t = "", r = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz"; - t += r.charAt(Math.floor(Math.random() * r.length)), r += "0123456789"; - for (var n = 0; n < a; n++) - t += r.charAt(Math.floor(Math.random() * r.length)); - return t; - }; - b.prototype.addGate = function(a, t, r, n) { - var s = []; - if (Array.isArray(r)) - for (var e = 0; e < r.length; e++) - s.push(r[e]); - else - s.push(r); - t < 0 && (t = this.lastNonEmptyPlace(s, a == "measure" || n && n.condition && n.condition.creg) + 1); - for (var o = s.length, u = this.randomString(), p = 0; p < o; p++) { - var v = s[p]; - for (v + 1 > this.numQubits && (this.numQubits = v + 1); this.gates.length < this.numQubits; ) - this.gates.push([]); - var f = this.numCols(); - t + 1 > f && (f = t + 1); - for (var e = 0; e < this.gates.length; e++) - for (; this.gates[e].length < f; ) - this.gates[e].push(null); - var h = { - id: u, - name: a, - connector: p, - options: {} - }; - if (n && (h.options = n, n.creg && n.creg.name && typeof n.creg.bit != "undefined")) { - var m = parseInt(n.creg.bit || 0); - isNaN(m) && (m = 0); - var l = this.cregs[n.creg.name] || [], d = l.length > m ? l[n.creg.bit] : 0; - this.setCregBit(n.creg.name, m, d); + this.gates[f][e] = c; + } + return p; +}; +ge.prototype.appendGate = function(t, e, r) { + return this.addGate(t, -1, e, r); +}; +ge.prototype.insertGate = function(t, e, r, n) { + var a = []; + if (Array.isArray(r)) + for (var s = 0; s < r.length; s++) + a.push(r[s]); + else + a.push(r); + e < 0 && (e = this.lastNonEmptyPlace(a, !!t && t == "measure" || n && n.condition && n.condition.creg) + 1); + for (var o = a.length, p = 0; p < o; p++) { + var u = a[p]; + for (u + 1 > this.numQubits && (this.numQubits = u + 1); this.gates.length < this.numQubits; ) + this.gates.push([]); + var f = this.numCols(); + e + 1 > f && (f = e + 1); + for (var s = 0; s < this.gates.length; s++) + for (; this.gates[s].length < f; ) + this.gates[s].push(null); + } + this.isEmptyPlace(e, a, !!t && t == "measure" || n && n.condition && n.condition.creg) || this.insertColumn(e); + var l = null; + return t && (l = this.addGate(t, e, a, n)), l; +}; +ge.prototype.insertSpace = function(t, e) { + return this.insertGate(null, t, e, null); +}; +ge.prototype.removeGateAt = function(t, e) { + if (this.gates[e]) { + var r = this.gates[e][t]; + if (r) + for (var n = r.id, a = this.gates.length, s = 0; s < a; s++) { + var o = this.gates[s][t]; + o && o.id == n && (this.gates[s][t] = null); } - this.gates[v][t] = h; + } +}; +ge.prototype.removeGate = function(t) { + var e = this.getGatePosById(t); + !e || e.col < 0 || !e.wires.length || this.removeGateAt(e.col, e.wires[0]); +}; +ge.prototype.addMeasure = function(t, e, r) { + this.addGate("measure", -1, t, { creg: { name: e, bit: r } }); +}; +ge.prototype.appendCircuit = function(t, e) { + for (var r = this.numCols(), n = t.numCols(), a = 0; a < n; a++) + for (var s = 0; s < t.numQubits; s++) { + var o = t.getGateAt(a, s); + o && o.connector == 0 && (!this.basicGates[o.name] && t.customGates[o.name] && this.registerGate(o.name, t.customGates[o.name]), this.addGate(o.name, a + r, o.wires, o.options)); } - return u; - }; - b.prototype.appendGate = function(a, t, r) { - return this.addGate(a, -1, t, r); - }; - b.prototype.insertGate = function(a, t, r, n) { - var s = []; - if (Array.isArray(r)) - for (var e = 0; e < r.length; e++) - s.push(r[e]); - else - s.push(r); - t < 0 && (t = this.lastNonEmptyPlace(s, !!a && a == "measure" || n && n.condition && n.condition.creg) + 1); - for (var o = s.length, u = 0; u < o; u++) { - var p = s[u]; - for (p + 1 > this.numQubits && (this.numQubits = p + 1); this.gates.length < this.numQubits; ) - this.gates.push([]); - var v = this.numCols(); - t + 1 > v && (v = t + 1); - for (var e = 0; e < this.gates.length; e++) - for (; this.gates[e].length < v; ) - this.gates[e].push(null); - } - this.isEmptyPlace(t, s, !!a && a == "measure" || n && n.condition && n.condition.creg) || this.insertColumn(t); - var f = null; - return a && (f = this.addGate(a, t, s, n)), f; - }; - b.prototype.insertSpace = function(a, t) { - return this.insertGate(null, a, t, null); - }; - b.prototype.removeGateAt = function(a, t) { - if (this.gates[t]) { - var r = this.gates[t][a]; - if (r) - for (var n = r.id, s = this.gates.length, e = 0; e < s; e++) { - var o = this.gates[e][a]; - o && o.id == n && (this.gates[e][a] = null); - } - } - }; - b.prototype.removeGate = function(a) { - var t = this.getGatePosById(a); - !t || t.col < 0 || !t.wires.length || this.removeGateAt(t.col, t.wires[0]); - }; - b.prototype.addMeasure = function(a, t, r) { - this.addGate("measure", -1, a, { creg: { name: t, bit: r } }); - }; - b.prototype.appendCircuit = function(a, t) { - for (var r = this.numCols(), n = a.numCols(), s = 0; s < n; s++) - for (var e = 0; e < a.numQubits; e++) { - var o = a.getGateAt(s, e); - o && o.connector == 0 && (!this.basicGates[o.name] && a.customGates[o.name] && this.registerGate(o.name, a.customGates[o.name]), this.addGate(o.name, s + r, o.wires, o.options)); - } - }; - b.prototype.removeTrailingColumns = function() { - for (var a = this.numCols(), t = a - 1; t >= 0; t--) { - for (var r = !0, n = 0; n < this.numQubits; n++) { - var s = this.gates[n][t]; - if (s) { - r = !1; - break; - } +}; +ge.prototype.removeTrailingColumns = function() { + for (var t = this.numCols(), e = t - 1; e >= 0; e--) { + for (var r = !0, n = 0; n < this.numQubits; n++) { + var a = this.gates[n][e]; + if (a) { + r = !1; + break; } - if (!r) - return; - for (var n = 0; n < this.numQubits; n++) - this.gates[n].pop(); } - }; - b.prototype.removeLeadingColumns = function() { - for (var a = 0, t = this.numCols(), r = 0; r < t; r++) { - for (var n = !0, s = 0; s < this.numQubits; s++) { - var e = this.gates[s][r]; - if (e) { - n = !1; - break; - } - } - if (!n) + if (!r) + return; + for (var n = 0; n < this.numQubits; n++) + this.gates[n].pop(); + } +}; +ge.prototype.removeLeadingColumns = function() { + for (var t = 0, e = this.numCols(), r = 0; r < e; r++) { + for (var n = !0, a = 0; a < this.numQubits; a++) { + var s = this.gates[a][r]; + if (s) { + n = !1; break; - a++; - } - for (var o = 0; o < a; o++) - for (var s = 0; s < this.numQubits; s++) - this.gates[s].shift(); - }; - b.prototype.removeTrailingRows = function() { - for (var a = this.numCols(), t = this.numQubits - 1; t >= 0; t--) { - for (var r = !0, n = 0; n < a; n++) { - var s = this.gates[t][n]; - if (s) { - r = !1; - break; - } } - if (!r) - return; - this.gates.pop(), this.numQubits--; - } - }; - b.prototype.removeQubit = function(a) { - if (this.gates[a]) { - this.resetState(); - for (var t = this.numCols(), r = 0; r < t; r++) - this.removeGateAt(r, a); - for (var n = a + 1; n < this.numQubits; n++) - for (var r = 0; r < t; r++) - this.gates[n - 1][r] = this.gates[n][r]; - this.gates.pop(), this.numQubits--; } - }; - b.prototype.flipVertically = function() { - this.resetState(); - for (var a = this.numCols(), t = this.numQubits - 1, r = 0; r < this.numQubits / 2; r++) - for (var n = 0; n < a; n++) { - var s = this.gates[r][n]; - this.gates[r][n] = this.gates[t - r][n], this.gates[t - r][n] = s; + if (!n) + break; + t++; + } + for (var o = 0; o < t; o++) + for (var a = 0; a < this.numQubits; a++) + this.gates[a].shift(); +}; +ge.prototype.removeTrailingRows = function() { + for (var t = this.numCols(), e = this.numQubits - 1; e >= 0; e--) { + for (var r = !0, n = 0; n < t; n++) { + var a = this.gates[e][n]; + if (a) { + r = !1; + break; } - }; - b.prototype.flipHorizontally = function() { + } + if (!r) + return; + this.gates.pop(), this.numQubits--; + } +}; +ge.prototype.removeQubit = function(t) { + if (this.gates[t]) { this.resetState(); - for (var a = this.numCols(), t = a - 1, r = 0; r < this.numQubits; r++) - for (var n = 0; n < a / 2; n++) { - var s = this.gates[r][n]; - this.gates[r][n] = this.gates[r][t - n], this.gates[r][t - n] = s; - } - }; - b.prototype.applyTransform = function(a, t) { - var r = {}, n = 0; - if (t = t.slice(0), this.reverseBitOrder) - for (var s = 0; s < t.length; s++) - t[s] = this.numQubits - 1 - t[s]; - t.reverse(); - for (var e = [], s = 0; s < this.numQubits; s++) - t.indexOf(s) < 0 && e.push(s); - var o = e.length, u = 1 << o; - function p(j) { - var y = 0; - return t.map(function(Z, G) { - j & 1 << G && (y |= 1 << Z); - }), y; - } - function v() { - var j = 0; - return t.map(function(y, Z) { - j |= 1 << y; - }), j + 1; - } - function f() { - var j = 0; - return e.map(function(y, Z) { - j |= 1 << y; - }), j; - } - for (var h = x.complex(0, 0), m = 0; m < a.length; m++) - for (var l = p(m), d = 0; d < a[m].length; d++) { - var c = p(d); - if ((this.stateBits & c) == c) { - var T = a[m][d]; - if (T) - for (var _ = l, S = c, O = u, k = p(0), Q = v(), R = f(), g = k; O--; ) { - var q = this.state[S]; - q && (_ = g | l, T == 1 ? r[_] = x.add(r[_] || h, q) : r[_] = x.add(r[_] || h, x.multiply(T, q)), n |= _), g = g + Q & R, S = g | c; - } - } - } - this.state = r, this.stateBits = n, this.stateBits == 0 && Object.keys(this.state).length == 0 && (this.state[0] = x.complex(1, 0)); - }; - b.prototype.transformMatrix = function(a, t, r, n) { - r = r.slice(0); - var s = !1; - if (n ? s = n == "big" : s = !this.reverseBitOrder, s) - for (var e = 0; e < r.length; e++) - r[e] = a - 1 - r[e]; - r.reverse(); - for (var o = [], e = 0; e < a; e++) - r.indexOf(e) < 0 && o.push(e); - var u = o.length, p = 1 << u; - function v(j) { - var y = 0; - return r.map(function(Z, G) { - j & 1 << G && (y |= 1 << Z); - }), y; - } - function f() { - var j = 0; - return r.map(function(y, Z) { - j |= 1 << y; - }), j + 1; - } - function h() { - var j = 0; - return o.map(function(y, Z) { - j |= 1 << y; - }), j; - } - for (var m = x.zeros([1 << a, 1 << a]), l = 0; l < t.length; l++) - for (var d = v(l), c = 0; c < t[l].length; c++) { - var T = v(c), _ = t[l][c]; - if (_) - for (var S = d, O = T, k = p, Q = v(0), R = f(), g = h(), q = Q; k--; ) - S = q | d, m[S][O] = _, q = q + R & g, O = q | T; - } - return m; - }; - b.prototype.circuitMatrix = function(a) { - var t = new b(); - if (t.load(this.save(!0)), t.gotClassicalControl()) - return []; - for (var r = [], n = t.numCols() - 1; n >= 0; n--) - for (var s = t.numQubits - 1; s >= 0; s--) { - var e = t.getGateAt(n, s); - if (e && e.connector == 0) { - var o = t.basicGates[e.name]; - if (!o) - throw new Error('Unknown gate "' + e.name + '"'); - if (o.matrix && o.matrix.length) { - var u = t.getRawGate(o, e.options), p = t.transformMatrix(t.numQubits, u, e.wires, a); - !r || !r.length ? r = p : r = this.multiplySquareMatrices(r, p); + for (var e = this.numCols(), r = 0; r < e; r++) + this.removeGateAt(r, t); + for (var n = t + 1; n < this.numQubits; n++) + for (var r = 0; r < e; r++) + this.gates[n - 1][r] = this.gates[n][r]; + this.gates.pop(), this.numQubits--; + } +}; +ge.prototype.flipVertically = function() { + this.resetState(); + for (var t = this.numCols(), e = this.numQubits - 1, r = 0; r < this.numQubits / 2; r++) + for (var n = 0; n < t; n++) { + var a = this.gates[r][n]; + this.gates[r][n] = this.gates[e - r][n], this.gates[e - r][n] = a; + } +}; +ge.prototype.flipHorizontally = function() { + this.resetState(); + for (var t = this.numCols(), e = t - 1, r = 0; r < this.numQubits; r++) + for (var n = 0; n < t / 2; n++) { + var a = this.gates[r][n]; + this.gates[r][n] = this.gates[r][e - n], this.gates[r][e - n] = a; + } +}; +ge.prototype.applyTransform = function(t, e) { + var r = {}, n = 0; + if (e = e.slice(0), this.reverseBitOrder) + for (var a = 0; a < e.length; a++) + e[a] = this.numQubits - 1 - e[a]; + e.reverse(); + for (var s = [], a = 0; a < this.numQubits; a++) + e.indexOf(a) < 0 && s.push(a); + var o = s.length, p = 1 << o; + function u(O) { + var T = 0; + return e.map(function(I, q) { + O & 1 << q && (T |= 1 << I); + }), T; + } + function f() { + var O = 0; + return e.map(function(T, I) { + O |= 1 << T; + }), O + 1; + } + function l() { + var O = 0; + return s.map(function(T, I) { + O |= 1 << T; + }), O; + } + for (var c = Wt(0, 0), h = 0; h < t.length; h++) + for (var d = u(h), g = 0; g < t[h].length; g++) { + var v = u(g); + if ((this.stateBits & v) == v) { + var N = t[h][g]; + if (N) + for (var b = d, C = v, x = p, E = u(0), D = f(), A = l(), M = E; x--; ) { + var _ = this.state[C]; + _ && (b = M | d, N == 1 ? r[b] = ut(r[b] || c, _) : r[b] = ut(r[b] || c, it(N, _)), n |= b), M = M + D & A, C = M | v; } - } - } - return r; - }; - b.prototype.eigenvalues2x2 = function(a) { - var t = this.parseMatrix(a), r = [0, 0], n = x.add(t[0][0], t[1][1]); - return r[0] = x.divide(x.add(n, x.sqrt(x.add(x.multiply(x.multiply(4, t[0][1]), t[1][0]), x.pow(x.subtract(t[0][0], t[1][1]), 2)))), 2), r[1] = x.divide(x.subtract(n, x.sqrt(x.add(x.multiply(x.multiply(4, t[0][1]), t[1][0]), x.pow(x.subtract(t[0][0], t[1][1]), 2)))), 2), r; - }; - b.prototype.getBipartiteState = function(a, t) { - var r = {}, n = 0; - function s(f, h) { - var m = x.add(f, h), l = m.arg(); - return x.complex({ abs: x.sqrt(x.pow(x.abs(f), 2) + x.pow(x.abs(h), 2)), arg: l }); - } - for (var e in this.state) { - var o = parseInt(e), u = 0, p = o & 1 << a ? 1 : 0, v = o & 1 << t ? 2 : 0; - u |= p, u |= v, typeof r[u] != "undefined" ? r[u] = s(r[u], this.state[e]) : r[u] = this.state[e], n++; - } - return n || (r[0] = x.complex(1, 0)), r; - }; - b.prototype.chanceMap = function() { - for (var a = {}, t = 0; t < this.numQubits; t++) - for (var r = 0; r < this.numQubits; r++) - a[t] || (a[t] = {}), r == t ? a[t][r] = null : a[t][r] = {}; - for (var t = 0; t < this.numQubits; t++) - for (var r = t + 1; r < this.numQubits; r++) { - var n = this.getBipartiteState(t, r), s = new b(2); - s.state = n; - var e = x.abs(s.angles()[0].radius), o = x.round(1 - x.pow(e, 2), 7); - a[t][r].entangled = o > 0, a[t][r].concurence = o, a[t][r].concurencePercent = x.round(o * 100, 2), a[r][t].entangled = o > 0, a[r][t].concurence = o, a[r][t].concurencePercent = x.round(o * 100, 2); } - return a; - }; - function Dr(a, t) { - for (var r = a.toString(2); r.length < t; ) - r = "0" + r; - return r; + } + this.state = r, this.stateBits = n, this.stateBits == 0 && Object.keys(this.state).length == 0 && (this.state[0] = Wt(1, 0)); +}; +ge.prototype.transformMatrix = function(t, e, r, n) { + r = r.slice(0); + var a = !1; + if (n ? a = n == "big" : a = !this.reverseBitOrder, a) + for (var s = 0; s < r.length; s++) + r[s] = t - 1 - r[s]; + r.reverse(); + for (var o = [], s = 0; s < t; s++) + r.indexOf(s) < 0 && o.push(s); + var p = o.length, u = 1 << p; + function f(O) { + var T = 0; + return r.map(function(I, q) { + O & 1 << q && (T |= 1 << I); + }), T; } - function rt(a, t) { - return parseInt(Dr(a, t).split("").reverse().join(""), 2); + function l() { + var O = 0; + return r.map(function(T, I) { + O |= 1 << T; + }), O + 1; } - b.prototype.resetQubit = function(a, t) { - var r = [ - [0, 0], - [0, 0] - ], n = null; - this.reverseBitOrder ? n = x.pow(2, this.numQubits - 1 - a) : n = x.pow(2, a); - var s = 0; - for (var e in this.state) { - var o = parseInt(e); - (t ? o & n : !(o & n)) && (s += x.pow(x.abs(this.state[e]), 2)); + function c() { + var O = 0; + return o.map(function(T, I) { + O |= 1 << T; + }), O; + } + for (var h = yr([1 << t, 1 << t]), d = 0; d < e.length; d++) + for (var g = f(d), v = 0; v < e[d].length; v++) { + var N = f(v), b = e[d][v]; + if (b) + for (var C = g, x = N, E = u, D = f(0), A = l(), M = c(), _ = D; E--; ) + C = _ | g, h[C][x] = b, _ = _ + A & M, x = _ | N; } - s = x.round(s, 14), s != 1 && (t ? s == 0 ? r[1][0] = 1 : r[1][1] = x.sqrt(1 / s) : s == 0 ? r[0][1] = 1 : r[0][0] = x.sqrt(1 / s), this.collapsed = [], this.prob = [], this.applyTransform(r, [a])); - }; - b.prototype.applyGate = function(a, t, r, n) { - if (a == "measure") { - if (!n.creg) - throw 'Error: "measure" gate requires destination.'; - var s = this.measure(r[0], n.creg.name, n.creg.bit), e = this.measureResetsQubit; - if (!e) - for (var o = t; o < this.numCols(); o++) { - for (var u = o == t ? r[0] : 0, p = u; p < this.numQubits; p++) { - var v = this.gates[p][o]; - if (v && v.name != "measure") { - e = !0; - break; - } - } - if (e) - break; + return h; +}; +ge.prototype.circuitMatrix = function(t) { + var e = new ge(); + if (e.load(this.save(!0)), e.gotClassicalControl()) + return []; + for (var r = [], n = e.numCols() - 1; n >= 0; n--) + for (var a = e.numQubits - 1; a >= 0; a--) { + var s = e.getGateAt(n, a); + if (s && s.connector == 0) { + var o = e.basicGates[s.name]; + if (!o) + throw new Error('Unknown gate "' + s.name + '"'); + if (o.matrix && o.matrix.length) { + var p = e.getRawGate(o, s.options), u = e.transformMatrix(e.numQubits, p, s.wires, t); + !r || !r.length ? r = u : r = this.multiplySquareMatrices(r, u); } - e && this.resetQubit(r[0], s); - return; - } - if (a == "reset") { - this.resetQubit(r[0], 0); - return; + } } - var f = this.basicGates[a]; - if (!f) { - console.log('Unknown gate "' + a + '".'); - return; + return r; +}; +ge.prototype.eigenvalues2x2 = function(t) { + var e = this.parseMatrix(t), r = [0, 0], n = ut(e[0][0], e[1][1]); + return r[0] = ur(ut(n, dr(ut(it(it(4, e[0][1]), e[1][0]), _t(Xt(e[0][0], e[1][1]), 2)))), 2), r[1] = ur(Xt(n, dr(ut(it(it(4, e[0][1]), e[1][0]), _t(Xt(e[0][0], e[1][1]), 2)))), 2), r; +}; +ge.prototype.getBipartiteState = function(t, e) { + var r = {}, n = 0; + function a(l, c) { + var h = ut(l, c), d = h.arg(); + return Wt({ abs: dr(_t($t(l), 2) + _t($t(c), 2)), arg: d }); + } + for (var s in this.state) { + var o = parseInt(s), p = 0, u = o & 1 << t ? 1 : 0, f = o & 1 << e ? 2 : 0; + p |= u, p |= f, typeof r[p] < "u" ? r[p] = a(r[p], this.state[s]) : r[p] = this.state[s], n++; + } + return n || (r[0] = Wt(1, 0)), r; +}; +ge.prototype.chanceMap = function() { + for (var t = {}, e = 0; e < this.numQubits; e++) + for (var r = 0; r < this.numQubits; r++) + t[e] || (t[e] = {}), r == e ? t[e][r] = null : t[e][r] = {}; + for (var e = 0; e < this.numQubits; e++) + for (var r = e + 1; r < this.numQubits; r++) { + var n = this.getBipartiteState(e, r), a = new ge(2); + a.state = n; + var s = $t(a.angles()[0].radius), o = kt(1 - _t(s, 2), 7); + t[e][r].entangled = o > 0, t[e][r].concurence = o, t[e][r].concurencePercent = kt(o * 100, 2), t[r][e].entangled = o > 0, t[r][e].concurence = o, t[r][e].concurencePercent = kt(o * 100, 2); } - var h = this.getRawGate(f, n); - this.collapsed = [], this.prob = [], this.applyTransform(h, r); - }; - b.prototype.getRawGate = function(a, t, r) { - var n = r && r.params ? r.params : this.options && this.options.params ? this.options.params : {}, n = JSON.parse(JSON.stringify(n)); - for (var s in n) - n[s] = x.evaluate(n[s]); - var e = []; - return a.matrix.map(function(o) { - var u = []; - o.map(function(p) { - if (typeof p == "string") { - var v = t ? t.params || {} : {}, f = {}; - a.params.map(function(m, l) { - Array.isArray(v) ? f[m] = v.length > l ? x.evaluate(v[l], n) : null : f[m] = x.evaluate(v[m], n); - }); - var h = x.evaluate(p, f); - u.push(h); - } else - u.push(p); - }), e.push(u); - }), e; - }; - b.prototype.countParameterizedGates = function() { - for (var a = 0, t = this.numCols(), r = 0; r < t; r++) - for (var n = 0; n < this.numQubits; n++) { - var s = this.getGateAt(r, n); - if (s && s.connector == 0 && s.options && s.options.params) { - var e = 0; - for (paramName in s.options.params) - e++; - e > 0 && a++; + return t; +}; +function TS(t, e) { + for (var r = t.toString(2); r.length < e; ) + r = "0" + r; + return r; +} +function _S(t, e) { + return parseInt(TS(t, e).split("").reverse().join(""), 2); +} +ge.prototype.resetQubit = function(t, e) { + var r = [ + [0, 0], + [0, 0] + ], n = null; + this.reverseBitOrder ? n = _t(2, this.numQubits - 1 - t) : n = _t(2, t); + var a = 0; + for (var s in this.state) { + var o = parseInt(s); + (e ? o & n : !(o & n)) && (a += _t($t(this.state[s]), 2)); + } + a = kt(a, 14), a != 1 && (e ? a == 0 ? r[1][0] = 1 : r[1][1] = dr(1 / a) : a == 0 ? r[0][1] = 1 : r[0][0] = dr(1 / a), this.collapsed = [], this.prob = [], this.applyTransform(r, [t])); +}; +ge.prototype.applyGate = function(t, e, r, n) { + if (t == "measure") { + if (!n.creg) + throw 'Error: "measure" gate requires destination.'; + var a = this.measure(r[0], n.creg.name, n.creg.bit), s = this.measureResetsQubit; + if (!s) + for (var o = e; o < this.numCols(); o++) { + for (var p = o == e ? r[0] : 0, u = p; u < this.numQubits; u++) { + var f = this.gates[u][o]; + if (f && f.name != "measure") { + s = !0; + break; + } } + if (s) + break; } - return a; - }; - b.prototype.findGlobalParams = function() { - for (var a = { - globalParams: [], - cells: [] - }, t = function(m) { - var l = [], d = function(T, _) { - T.isSymbolNode && !T.isFunctionNode && !x[T.name] && l.push(T.name); - }, c = x.parse(m); - return c.toString({ handler: d }), l; - }, r = this.numCols(), n = 0; n < r; n++) - for (var s = 0; s < this.numQubits; s++) { - var e = this.getGateAt(n, s); - if (e && e.connector == 0 && e.options && e.options.params) { - var o = !1; - for (var u in e.options.params) { - var p = e.options.params[u]; - if (typeof p == "string") { - var v = t(p); - if (v.length) { - for (var f = 0; f < v.length; f++) - a.globalParams.indexOf(v[f]) < 0 && a.globalParams.push(v[f]); - if (!o) { - var h = Math.max.apply(null, e.wires); - a.cells.push([n, h]), o = !0; - } + s && this.resetQubit(r[0], a); + return; + } + if (t == "reset") { + this.resetQubit(r[0], 0); + return; + } + var l = this.basicGates[t]; + if (!l) { + console.log('Unknown gate "' + t + '".'); + return; + } + var c = this.getRawGate(l, n); + this.collapsed = [], this.prob = [], this.applyTransform(c, r); +}; +ge.prototype.getRawGate = function(t, e, r) { + var n = r && r.params ? r.params : this.options && this.options.params ? this.options.params : {}, n = JSON.parse(JSON.stringify(n)); + for (var a in n) + n[a] = Br(n[a]); + var s = []; + return t.matrix.map(function(o) { + var p = []; + o.map(function(u) { + if (typeof u == "string") { + var f = e ? e.params || {} : {}, l = {}; + t.params.map(function(h, d) { + Array.isArray(f) ? l[h] = f.length > d ? Br(f[d], n) : null : l[h] = Br(String(f[h]), n); + }); + var c = Br(u, l); + p.push(c); + } else + p.push(u); + }), s.push(p); + }), s; +}; +ge.prototype.countParameterizedGates = function() { + for (var t = 0, e = this.numCols(), r = 0; r < e; r++) + for (var n = 0; n < this.numQubits; n++) { + var a = this.getGateAt(r, n); + if (a && a.connector == 0 && a.options && a.options.params) { + var s = 0; + for (paramName in a.options.params) + s++; + s > 0 && t++; + } + } + return t; +}; +ge.prototype.findGlobalParams = function() { + for (var t = { + globalParams: [], + cells: [] + }, e = function(h) { + var d = [], g = function(N, b) { + N.isSymbolNode && !N.isFunctionNode && !NS[N.name] && d.push(N.name); + }, v = Et(h); + return v.toString({ handler: g }), d; + }, r = this.numCols(), n = 0; n < r; n++) + for (var a = 0; a < this.numQubits; a++) { + var s = this.getGateAt(n, a); + if (s && s.connector == 0 && s.options && s.options.params) { + var o = !1; + for (var p in s.options.params) { + var u = s.options.params[p]; + if (typeof u == "string") { + var f = e(u); + if (f.length) { + for (var l = 0; l < f.length; l++) + t.globalParams.indexOf(f[l]) < 0 && t.globalParams.push(f[l]); + if (!o) { + var c = Math.max.apply(null, s.wires); + t.cells.push([n, c]), o = !0; } } } } } - return a; - }; - b.prototype.getGlobalParams = function() { - var a = this.findGlobalParams().globalParams; - return a; - }; - b.prototype.gotGlobalParams = function() { - var a = this.getGlobalParams(); - return a.length > 0; - }; - b.prototype.updateGlobalParams = function() { - this.params = this.getGlobalParams(), this.options = this.options || {}, this.options.params = this.options.params || {}; - for (var a = 0; a < this.params.length; a++) { - var t = this.params[a]; - typeof this.options.params[t] == "undefined" && (this.options.params[t] = 0); - } - for (var t in this.options.params) - this.params.indexOf(t) < 0 && delete this.options.params[t]; - return this.params; - }; - b.prototype.makeAllParamsGlobal = function() { - for (var a = this.getGlobalParams(), t = function(d) { - var c = [], T = function(S, O) { - S.isSymbolNode && !S.isFunctionNode && !x[S.name] && c.push(S.name); - }, _ = x.parse(d); - return _.toString({ handler: T }), c; - }, r = this.numCols(), n = 0; n < r; n++) - for (var s = 0; s < this.numQubits; s++) { - var e = this.getGateAt(n, s); - if (e && e.connector == 0 && e.options && e.options.params) - for (var o in e.options.params) { - var u = e.options.params[o], p = !1; - if (typeof u == "string") { - var v = t(u); - v.length && (p = !0); - } - if (!p) { - for (var f = 0; a.indexOf("var" + f) >= 0; ) - f++; - var h = "var" + f; - a.push(h); - for (var m = 0; m < e.wires.length; m++) { - var l = this.gates[e.wires[m]][n]; - l.options.params[o] = h; - } - this.params.push(h), this.options.params[h] = u; - } + } + return t; +}; +ge.prototype.getGlobalParams = function() { + var t = this.findGlobalParams().globalParams; + return t; +}; +ge.prototype.gotGlobalParams = function() { + var t = this.getGlobalParams(); + return t.length > 0; +}; +ge.prototype.updateGlobalParams = function() { + this.params = this.getGlobalParams(), this.options = this.options || {}, this.options.params = this.options.params || {}; + for (var t = 0; t < this.params.length; t++) { + var e = this.params[t]; + typeof this.options.params[e] > "u" && (this.options.params[e] = 0); + } + for (var e in this.options.params) + this.params.indexOf(e) < 0 && delete this.options.params[e]; + return this.params; +}; +ge.prototype.makeAllParamsGlobal = function() { + for (var t = this.getGlobalParams(), e = function(g) { + var v = [], N = function(C, x) { + C.isSymbolNode && !C.isFunctionNode && !NS[C.name] && v.push(C.name); + }, b = Et(g); + return b.toString({ handler: N }), v; + }, r = this.numCols(), n = 0; n < r; n++) + for (var a = 0; a < this.numQubits; a++) { + var s = this.getGateAt(n, a); + if (s && s.connector == 0 && s.options && s.options.params) + for (var o in s.options.params) { + var p = s.options.params[o], u = !1; + if (typeof p == "string") { + var f = e(p); + f.length && (u = !0); } - } - }; - b.prototype.decompose = function(a) { - if (!a.gates.length) - return a; - this.updateGlobalParams(); - function t(Q, R, g) { - return Q.slice(0, g).concat(R).concat(Q.slice(g)); - } - for (var r = 0; r < a.gates[0].length; r++) - for (var n = 0; n < a.numQubits; n++) { - var s = a.gates[n][r]; - if (s && s.connector == 0 && !this.basicGates[s.name]) { - var e = new b(), o = a.customGates[s.name]; - if (o) { - if (e.load(o), e.params.length && s.options && s.options.params) - for (var u = s.options.params, p = 0; p < e.gates[0].length; p++) - for (var v = 0; v < e.numQubits; v++) { - var f = e.gates[v][p]; - if (f && f.connector == 0 && f.options && f.options.params) - for (var h in f.options.params) { - var m = x.parse(f.options.params[h]), l = m.transform(function(Q, R, g) { - return Q.isSymbolNode && u.hasOwnProperty(Q.name) ? x.parse("(" + u[Q.name] + ")") : Q; - }); - f.options.params[h] = l.toString(); - } - } - if (s.options && s.options.condition) - for (var p = 0; p < e.gates[0].length; p++) - for (var v = 0; v < e.numQubits; v++) { - var f = e.gates[v][p]; - f && (f.options = f.options || {}, f.options.condition = s.options.condition); - } - var d = e.save(!0); - if (!d.gates[0].length) - for (var c = 0; c < d.gates.length; c++) - d.gates[c].push(null); - for (var T = [], _ = 0; _ < d.gates[0].length - 1; _++) - T.push(null); - for (var S = 0; S < a.numQubits; S++) { - var O = a.gates[S][r]; - if (O && O.id == s.id) { - a.gates[S].splice(r, 1); - for (var k = JSON.parse(JSON.stringify(d.gates[O.connector])), c = 0; c < k.length; c++) - k[c] && (k[c].id = k[c].id + "_" + s.id); - a.gates[S] = t(a.gates[S], k, r); - } else - a.gates[S] = t(a.gates[S], T, r + 1); + if (!u) { + for (var l = 0; t.indexOf("var" + l) >= 0; ) + l++; + var c = "var" + l; + t.push(c); + for (var h = 0; h < s.wires.length; h++) { + var d = this.gates[s.wires[h]][n]; + d.options.params[o] = c; } + this.params.push(c), this.options.params[c] = p; } } - } - return a.customGates = {}, a; - }; - b.prototype.decomposeGateAt = function(a, t) { - var r = this, n = this.getGateAt(a, t); - if (n && this.customGates[n.name]) { - var s = new b(); - s.load(this.save()); - for (var e = 0; e < s.gates[0].length; e++) - for (var o = 0; o < s.numQubits; o++) { - var u = s.gates[o][e]; - u && u.id != n.id && s.removeGateAt(e, o); - } - var p = new b(); - p.load(s.save(!0)), p.removeLeadingColumns(), p.removeTrailingColumns(); - for (var v = 0; v < p.gates[0].length - 1; v++) - this.insertSpace(a + v, n.wires); - this.removeGate(n.id); - for (var f = a, e = 0; e < p.gates[0].length; e++) { - var h = p.getGatesAtColumn(e); - h.map(function(l) { - r.addGate(l.name, f, l.wires, l.options); - }), f++; - } - return p; - } - }; - b.prototype.removeMeasurementAndClassicalControl = function() { - for (var a = this.numCols(), t = 0; t < a; t++) - for (var r = 0; r < this.numQubits; r++) { - var n = this.gates[r][t]; - n && n.name == "measure" && (this.gates[r][t] = null, n = null), n && n.options && n.options.condition && delete this.gates[r][t].options.condition; - } - this.cregs = {}, this.options && (this.options.hybrid = !1, this.options.hybridOptions && delete this.options.hybridOptions); - }; - b.prototype.convertToCustomGate = function(a, t, r) { - for (var n = this.numCols(), s = 0; s < n; s++) - for (var e = 0; e < this.numQubits; e++) { - var o = this.gates[e][s]; - o && o.name == "measure" && (this.gates[e][s] = null, o = null), o && o.options && o.options.condition && delete this.gates[e][s].options.condition; - } - this.cregs = {}; - var u = this.save(t); - if (u.options && (u.options.hybrid = !1, u.options.hybridOptions && delete u.options.hybridOptions), this.clear(), this.customGates[a] = u, r) { - for (var p = [], v = 0; v < this.numQubits; v++) - p.push(v); - var f = JSON.parse(JSON.stringify(this.customGates[a].options)); - this.addGate(a, -1, p, f); - } else - this.removeTrailingRows(); - }; - b.prototype.validCustomGateName = function(a) { - a = (a || "sub") + ""; - var t = []; - if (this.customGates) { - if (!this.basicGates[a] && !this.customGates[a]) - return a; - for (var r in this.basicGates) - t.push(r); - for (var r in this.customGates) - t.push(r); } - var n = 0, s = ""; - do - n++, s = a + n; - while (t.indexOf(s) >= 0); - return s; - }; - b.prototype.splitIntoBlocks = function(a, t) { - t = t || {}; - var r = [], n = "{}", s = !0, e = null, o = new b(); - o.load(this.save(!0)); - for (var u = o.numCols(), p = 0; p < u; p++) - for (var v = 0; v < o.numQubits; v++) { - var f = o.getGateAt(p, v); - if (f && f.connector == 0 && !f.addedToBlock) { - var h = this.basicGates[f.name], m = f.options && f.options.condition ? JSON.stringify(f.options.condition) : "{}", l = h && !!(h.matrix && h.matrix.length), d = JSON.parse(JSON.stringify(e ? e.wires : [])); - if (f.wires.map(function(L) { - d.indexOf(L) < 0 && d.push(L); - }), !r.length || m != n || !l || !s || !(d.length <= a) ? (e = { - wires: f.wires, - gates: [f] - }, r.push(e), f.options && f.options.condition && (e.condition = f.options.condition)) : (e.wires = d, e.gates.push(f)), f.wires.map(function(L) { - o.gates[L][p].addedToBlock = !0; - }), n = m, s = l, !t.verticalOnly) { - var c = p + 1, T = JSON.parse(JSON.stringify(e.wires)); - for (T.sort(); c < u && T.length; ) { - for (extWire = T[0]; T.length && extWire <= T[T.length - 1]; ) { - var _ = o.getGateAt(c, extWire); - if (_ && !_.addedToBlock) { - var S = this.basicGates[_.name], O = _.options && _.options.condition ? JSON.stringify(_.options.condition) : "{}", k = S && !!(S.matrix && S.matrix.length), Q = k && O == m; - if (Q) { - for (var R = 0; R < _.wires.length; R++) - if (T.indexOf(_.wires[R]) < 0) { - Q = !1; - break; - } - } - if (Q) - e.gates.push(_), _.wires.map(function(L) { - o.gates[L][c].addedToBlock = !0; +}; +ge.prototype.decompose = function(t) { + if (!t.gates.length) + return t; + this.updateGlobalParams(); + function e(D, A, M) { + return D.slice(0, M).concat(A).concat(D.slice(M)); + } + for (var r = 0; r < t.gates[0].length; r++) + for (var n = 0; n < t.numQubits; n++) { + var a = t.gates[n][r]; + if (a && a.connector == 0 && !this.basicGates[a.name]) { + var s = new ge(), o = t.customGates[a.name]; + if (o) { + if (s.load(o), s.params.length && a.options && a.options.params) + for (var p = a.options.params, u = 0; u < s.gates[0].length; u++) + for (var f = 0; f < s.numQubits; f++) { + var l = s.gates[f][u]; + if (l && l.connector == 0 && l.options && l.options.params) + for (var c in l.options.params) { + var h = Et(l.options.params[c]), d = h.transform(function(D, A, M) { + return D.isSymbolNode && p.hasOwnProperty(D.name) ? Et("(" + p[D.name] + ")") : D; }); - else { - for (var g = [], R = 0; R < T.length; R++) { - var q = T[R]; - _.wires.indexOf(q) < 0 && g.push(q); - } - T = g; + l.options.params[c] = d.toString(); } - } - if (T.length) { - for (var j = T[T.length - 1] + 1, R = T.length - 1; R >= 0; R--) { - var q = T[R]; - q > extWire && (j = q); - } - extWire = j; - } } - c++; - } + if (a.options && a.options.condition) + for (var u = 0; u < s.gates[0].length; u++) + for (var f = 0; f < s.numQubits; f++) { + var l = s.gates[f][u]; + l && (l.options = l.options || {}, l.options.condition = a.options.condition); + } + var g = s.save(!0); + if (!g.gates[0].length) + for (var v = 0; v < g.gates.length; v++) + g.gates[v].push(null); + for (var N = [], b = 0; b < g.gates[0].length - 1; b++) + N.push(null); + for (var C = 0; C < t.numQubits; C++) { + var x = t.gates[C][r]; + if (x && x.id == a.id) { + t.gates[C].splice(r, 1); + for (var E = JSON.parse(JSON.stringify(g.gates[x.connector])), v = 0; v < E.length; v++) + E[v] && (E[v].id = E[v].id + "_" + a.id); + t.gates[C] = e(t.gates[C], E, r); + } else + t.gates[C] = e(t.gates[C], N, r + 1); } } } - for (var y = new b(), Z = 0, G = 0; G < r.length; G++) { - var E = r[G], W = !1; - if (E.wires.length <= a || t.flexibleBlockSize) - for (var A = 0; A < E.gates.length; A++) { - var f = E.gates[A], h = this.basicGates[f.name]; - h.matrix && h.matrix.length && (W = !0); - } - if (W) { - Z++; - for (var Y = new b(), A = 0; A < E.gates.length; A++) { - var f = E.gates[A]; - f.options.condition && delete f.options.condition; - var $ = []; - f.wires.map(function(z) { - $.push(E.wires.indexOf(z)); - }), f.wires = $, Y.appendGate(f.name, $, f.options); - } - var C = "block" + Z; - y.registerGate(C, Y); - var K = {}; - E.condition && (K.condition = E.condition), y.appendGate(C, E.wires, K); - } else - E.gates.map(function(L) { - y.appendGate(L.name, L.wires, L.options); - }); } - this.load(y.save(!1)); - }; - b.prototype.usedGates = function(a) { - a = a || {}; - var t = new b(); - t.load(this.save(!0)); - for (var r = [], n = 0; n < t.numQubits; n++) - for (var s = 0; s < t.numCols(); s++) { - var e = t.gates[n][s]; - if (e && r.indexOf(e.name) < 0) { - var o = !1; - if (a.unitariesOnly) { - var u = t.basicGates[e.name]; - (!u || !u.matrix || !u.matrix.length) && (o = !0); - } - o || r.push(e.name); - } + return t.customGates = {}, t; +}; +ge.prototype.decomposeGateAt = function(t, e) { + var r = this, n = this.getGateAt(t, e); + if (n && this.customGates[n.name]) { + var a = new ge(); + a.load(this.save()); + for (var s = 0; s < a.gates[0].length; s++) + for (var o = 0; o < a.numQubits; o++) { + var p = a.gates[o][s]; + p && p.id != n.id && a.removeGateAt(s, o); } - if (!a.noCustomGates) - for (var p in this.customGates) - this.customGates[p], r.indexOf(p) < 0 && r.push(p); - return r; - }; - b.prototype.countOps = function(a, t) { - t = t || {}, t.shallow = t.shallow || !1, a || (a = this); - for (var r = {}, n = 0; n < a.gates.length; n++) - for (var s = 0; s < a.gates[n].length; s++) { - var e = a.gates[n][s]; - if (e && e.connector == 0) { - var o = this.basicGates[e.name]; - if (o) - r[e.name] ? r[e.name]++ : r[e.name] = 1; - else { - var u = this.customGates[e.name]; - if (u && (r[e.name] ? r[e.name]++ : r[e.name] = 1, !t.shallow)) { - var p = this.countOps(u, t); - for (subName in p) - r[subName] ? r[subName] += p[subName] : r[subName] = p[subName]; + var u = new ge(); + u.load(a.save(!0)), u.removeLeadingColumns(), u.removeTrailingColumns(); + for (var f = 0; f < u.gates[0].length - 1; f++) + this.insertSpace(t + f, n.wires); + this.removeGate(n.id); + for (var l = t, s = 0; s < u.gates[0].length; s++) { + var c = u.getGatesAtColumn(s); + c.map(function(d) { + r.addGate(d.name, l, d.wires, d.options); + }), l++; + } + return u; + } +}; +ge.prototype.removeMeasurementAndClassicalControl = function() { + for (var t = this.numCols(), e = 0; e < t; e++) + for (var r = 0; r < this.numQubits; r++) { + var n = this.gates[r][e]; + n && n.name == "measure" && (this.gates[r][e] = null, n = null), n && n.options && n.options.condition && delete this.gates[r][e].options.condition; + } + this.cregs = {}, this.options && (this.options.hybrid = !1, this.options.hybridOptions && delete this.options.hybridOptions); +}; +ge.prototype.convertToCustomGate = function(t, e, r) { + for (var n = this.numCols(), a = 0; a < n; a++) + for (var s = 0; s < this.numQubits; s++) { + var o = this.gates[s][a]; + o && o.name == "measure" && (this.gates[s][a] = null, o = null), o && o.options && o.options.condition && delete this.gates[s][a].options.condition; + } + this.cregs = {}; + var p = this.save(e); + if (p.options && (p.options.hybrid = !1, p.options.hybridOptions && delete p.options.hybridOptions), this.clear(), this.customGates[t] = p, r) { + for (var u = [], f = 0; f < this.numQubits; f++) + u.push(f); + var l = JSON.parse(JSON.stringify(this.customGates[t].options)); + this.addGate(t, -1, u, l); + } else + this.removeTrailingRows(); +}; +ge.prototype.validCustomGateName = function(t) { + t = (t || "sub") + ""; + var e = []; + if (this.customGates) { + if (!this.basicGates[t] && !this.customGates[t]) + return t; + for (var r in this.basicGates) + e.push(r); + for (var r in this.customGates) + e.push(r); + } + var n = 0, a = ""; + do + n++, a = t + n; + while (e.indexOf(a) >= 0); + return a; +}; +ge.prototype.splitIntoBlocks = function(t, e) { + e = e || {}; + var r = [], n = "{}", a = !0, s = null, o = new ge(); + o.load(this.save(!0)); + for (var p = o.numCols(), u = 0; u < p; u++) + for (var f = 0; f < o.numQubits; f++) { + var l = o.getGateAt(u, f); + if (l && l.connector == 0 && !l.addedToBlock) { + var c = this.basicGates[l.name], h = l.options && l.options.condition ? JSON.stringify(l.options.condition) : "{}", d = c && !!(c.matrix && c.matrix.length), g = JSON.parse(JSON.stringify(s ? s.wires : [])); + if (l.wires.map(function(W) { + g.indexOf(W) < 0 && g.push(W); + }), !r.length || h != n || !d || !a || !(g.length <= t) ? (s = { + wires: l.wires, + gates: [l] + }, r.push(s), l.options && l.options.condition && (s.condition = l.options.condition)) : (s.wires = g, s.gates.push(l)), l.wires.map(function(W) { + o.gates[W][u].addedToBlock = !0; + }), n = h, a = d, !e.verticalOnly) { + var v = u + 1, N = JSON.parse(JSON.stringify(s.wires)); + for (N.sort(); v < p && N.length; ) { + for (extWire = N[0]; N.length && extWire <= N[N.length - 1]; ) { + var b = o.getGateAt(v, extWire); + if (b && !b.addedToBlock) { + var C = this.basicGates[b.name], x = b.options && b.options.condition ? JSON.stringify(b.options.condition) : "{}", E = C && !!(C.matrix && C.matrix.length), D = E && x == h; + if (D) { + for (var A = 0; A < b.wires.length; A++) + if (N.indexOf(b.wires[A]) < 0) { + D = !1; + break; + } + } + if (D) + s.gates.push(b), b.wires.map(function(W) { + o.gates[W][v].addedToBlock = !0; + }); + else { + for (var M = [], A = 0; A < N.length; A++) { + var _ = N[A]; + b.wires.indexOf(_) < 0 && M.push(_); + } + N = M; + } + } + if (N.length) { + for (var O = N[N.length - 1] + 1, A = N.length - 1; A >= 0; A--) { + var _ = N[A]; + _ > extWire && (O = _); + } + extWire = O; + } } + v++; } } } - return r; - }; - b.prototype.getCouplingMap = function(a) { - a = a || {}; - var t = "", r = new b(); - r.load(this.save(!0)); - for (var n = 0; n < r.numQubits; n++) - for (var s = 0; s < r.numCols(); s++) { - var e = r.getGateAt(s, n); - if (e && e.connector == 0) { - var o = !1; - if (a.unitariesOnly) { - var u = r.basicGates[e.name]; - (!u || !u.matrix || !u.matrix.length) && (o = !0); - } - if (!o) { - var p = JSON.stringify(e.wires); - t.indexOf(p) < 0 && (t && (t += ","), t += p); - } + } + for (var T = new ge(), I = 0, q = 0; q < r.length; q++) { + var $ = r[q], U = !1; + if ($.wires.length <= t || e.flexibleBlockSize) + for (var k = 0; k < $.gates.length; k++) { + var l = $.gates[k], c = this.basicGates[l.name]; + c.matrix && c.matrix.length && (U = !0); + } + if (U) { + I++; + for (var L = new ge(), k = 0; k < $.gates.length; k++) { + var l = $.gates[k]; + l.options.condition && delete l.options.condition; + var R = []; + l.wires.map(function(Z) { + R.push($.wires.indexOf(Z)); + }), l.wires = R, L.appendGate(l.name, R, l.options); + } + var G = "block" + I; + T.registerGate(G, L); + var P = {}; + $.condition && (P.condition = $.condition), T.appendGate(G, $.wires, P); + } else + $.gates.map(function(W) { + T.appendGate(W.name, W.wires, W.options); + }); + } + this.load(T.save(!1)); +}; +ge.prototype.usedGates = function(t) { + t = t || {}; + var e = new ge(); + e.load(this.save(!0)); + for (var r = [], n = 0; n < e.numQubits; n++) + for (var a = 0; a < e.numCols(); a++) { + var s = e.gates[n][a]; + if (s && r.indexOf(s.name) < 0) { + var o = !1; + if (t.unitariesOnly) { + var p = e.basicGates[s.name]; + (!p || !p.matrix || !p.matrix.length) && (o = !0); } + o || r.push(s.name); } - return JSON.parse("[" + t + "]"); - }; - b.prototype.getGateDef = function(a) { - var t = this.basicGates[a]; - return t || (t = this.customGates[a]), t; - }; - b.prototype.importRaw = function(a, t) { - var r = a && a.qubits || 0; - if (this.init(r), !a) - if (t) - t([]); - else - return; - if (a.cregs) - for (var n = 0; n < a.cregs.length; n++) { - var s = a.cregs[n]; - if (!s.name) { - var e = "Classical register " + n + ` doesn't have a "name".`; - if (t) { - t([{ msg: e, line: 0, col: 0 }]); - return; - } else - throw new Error(e); + } + if (!t.noCustomGates) + for (var u in this.customGates) + this.customGates[u], r.indexOf(u) < 0 && r.push(u); + return r; +}; +ge.prototype.countOps = function(t, e) { + e = e || {}, e.shallow = e.shallow || !1, t || (t = this); + for (var r = {}, n = 0; n < t.gates.length; n++) + for (var a = 0; a < t.gates[n].length; a++) { + var s = t.gates[n][a]; + if (s && s.connector == 0) { + var o = this.basicGates[s.name]; + if (o) + r[s.name] ? r[s.name]++ : r[s.name] = 1; + else { + var p = this.customGates[s.name]; + if (p && (r[s.name] ? r[s.name]++ : r[s.name] = 1, !e.shallow)) { + var u = this.countOps(p, e); + for (subName in u) + r[subName] ? r[subName] += u[subName] : r[subName] = u[subName]; + } } - this.createCreg(s.name, s.len || 0); } - if (a.program) - for (var n = 0; n < a.program.length; n++) { - var o = a.program[n]; - if (!o.name) { - var e = "Gate " + n + ` doesn't have a "name". Name is optional and this is OK for QubitToaster but we cannot import gate from matrix. Not implemented yet.`; - if (t) { - t([{ msg: e, line: 0, col: 0 }]); - return; - } else - throw new Error(e); + } + return r; +}; +ge.prototype.getCouplingMap = function(t) { + t = t || {}; + var e = "", r = new ge(); + r.load(this.save(!0)); + for (var n = 0; n < r.numQubits; n++) + for (var a = 0; a < r.numCols(); a++) { + var s = r.getGateAt(a, n); + if (s && s.connector == 0) { + var o = !1; + if (t.unitariesOnly) { + var p = r.basicGates[s.name]; + (!p || !p.matrix || !p.matrix.length) && (o = !0); } - var u = this.basicGates[o.name]; - if (!u) { - var e = 'Unknown gate "' + o.name + '". Name is optional and this is OK for QubitToaster but we cannot import gate from matrix. We can import only gates by name from set of known gates.'; - if (t) { - t([{ msg: e, line: 0, col: 0 }]); - return; - } else - throw new Error(e); + if (!o) { + var u = JSON.stringify(s.wires); + e.indexOf(u) < 0 && (e && (e += ","), e += u); } - var p = JSON.parse(JSON.stringify(o.wires || [])), v = JSON.parse(JSON.stringify(o.options || {})), f = u.matrix && u.matrix.length ? x.log2(u.matrix.length) : 1; - if (p.length != f) { - var e = 'Gate "' + o.name + '" has ' + p.length + " wires but should have " + f + " wires."; - if (t) { - t([{ msg: e, line: 0, col: 0 }]); + } + } + return JSON.parse("[" + e + "]"); +}; +ge.prototype.getGateDef = function(t) { + var e = this.basicGates[t]; + return e || (e = this.customGates[t]), e; +}; +ge.prototype.importRaw = function(t, e) { + var r = t && t.qubits || 0; + if (this.init(r), !t) + if (e) + e([]); + else + return; + if (t.cregs) + for (var n = 0; n < t.cregs.length; n++) { + var a = t.cregs[n]; + if (!a.name) { + var s = "Classical register " + n + ` doesn't have a "name".`; + if (e) { + e([{ msg: s, line: 0, col: 0 }]); + return; + } else + throw new Error(s); + } + this.createCreg(a.name, a.len || 0); + } + if (t.program) + for (var n = 0; n < t.program.length; n++) { + var o = t.program[n]; + if (!o.name) { + var s = "Gate " + n + ` doesn't have a "name". Name is optional and this is OK for QubitToaster but we cannot import gate from matrix. Not implemented yet.`; + if (e) { + e([{ msg: s, line: 0, col: 0 }]); + return; + } else + throw new Error(s); + } + var p = this.basicGates[o.name]; + if (!p) { + var s = 'Unknown gate "' + o.name + '". Name is optional and this is OK for QubitToaster but we cannot import gate from matrix. We can import only gates by name from set of known gates.'; + if (e) { + e([{ msg: s, line: 0, col: 0 }]); + return; + } else + throw new Error(s); + } + var u = JSON.parse(JSON.stringify(o.wires || [])), f = JSON.parse(JSON.stringify(o.options || {})), l = p.matrix && p.matrix.length ? vi(p.matrix.length) : 1; + if (u.length != l) { + var s = 'Gate "' + o.name + '" has ' + u.length + " wires but should have " + l + " wires."; + if (e) { + e([{ msg: s, line: 0, col: 0 }]); + return; + } else + throw new Error(s); + } + if (p.params && p.params.length) { + if (!f.params) { + var s = 'Missing parameters for gate "' + o.name + '". Expecting ' + p.params.length + " parameters."; + if (e) { + e([{ msg: s, line: 0, col: 0 }]); return; } else - throw new Error(e); + throw new Error(s); } - if (u.params && u.params.length) { - if (!v.params) { - var e = 'Missing parameters for gate "' + o.name + '". Expecting ' + u.params.length + " parameters."; - if (t) { - t([{ msg: e, line: 0, col: 0 }]); + for (var c = 0; c < p.params.length; c++) { + var h = p.params[c]; + if (typeof f.params[h] > "u") { + var s = 'Missing parameter "' + h + '" for gate "' + o.name + '".'; + if (e) { + e([{ msg: s, line: 0, col: 0 }]); return; } else - throw new Error(e); - } - for (var h = 0; h < u.params.length; h++) { - var m = u.params[h]; - if (typeof v.params[m] == "undefined") { - var e = 'Missing parameter "' + m + '" for gate "' + o.name + '".'; - if (t) { - t([{ msg: e, line: 0, col: 0 }]); - return; - } else - throw new Error(e); - } + throw new Error(s); } } - this.appendGate(o.name, p, v); } - t && t([]); - }; - b.prototype.exportRaw = function() { - var a = this.options && this.options.params ? this.options.params : {}, a = JSON.parse(JSON.stringify(a)); - for (var t in a) - a[t] = x.evaluate(a[t]); - var r = new b(); - r.load(this.save(!0)); - for (var n = r.numCols(), s = [], e = 0; e < n; e++) - for (var o = 0; o < r.numQubits; o++) { - var u = r.getGateAt(e, o); - if (u && u.connector == 0) { - var p = r.basicGates[u.name]; - if (!p) { - console.log('Unknown gate "' + u.name + '".'); - return; - } - var v = r.getRawGate(p, u.options), f = []; - v.map(function(c) { - var T = []; - c.map(function(_) { - _ = JSON.parse(JSON.stringify(_)), typeof _ == "object" && _.mathjs && typeof _.mathjs == "string" && (_.type = _.mathjs.toLowerCase(), delete _.mathjs), T.push(_); - }), f.push(T); - }); - var h = {}; - if (u.options && (h = JSON.parse(JSON.stringify(u.options))), h.params) - for (var m in h.params) - h.params[m] = x.evaluate(h.params[m], a); - s.push({ - name: u.name, - matrix: f, - wires: u.wires, - options: h - }); - } - } - var l = []; - for (var d in r.cregs) - l.push({ - name: d, - len: r.cregs[d].length || 0 - }); - return { - qubits: r.numQubits, - cregs: l, - program: s - }; - }; - b.prototype.exportToGenerator = function(a) { - a = a || {}; - var t = this.exportQASM(null, !1, null, !1, !0), r = this.usedGates({ noCustomGates: !0, unitariesOnly: !0 }), n = this.getCouplingMap({ unitariesOnly: !0 }), s = { - source: { - circuit: { - qasm: t + this.appendGate(o.name, u, f); + } + e && e([]); +}; +ge.prototype.exportRaw = function() { + var t = this.options && this.options.params ? this.options.params : {}, t = JSON.parse(JSON.stringify(t)); + for (var e in t) + t[e] = Br(t[e]); + var r = new ge(); + r.load(this.save(!0)); + for (var n = r.numCols(), a = [], s = 0; s < n; s++) + for (var o = 0; o < r.numQubits; o++) { + var p = r.getGateAt(s, o); + if (p && p.connector == 0) { + var u = r.basicGates[p.name]; + if (!u) { + console.log('Unknown gate "' + p.name + '".'); + return; } - }, - problem: [], - type: "circuit", - settings: { - allowed_gates: r.join(","), - coupling_map: n - } - }, e = new b(); - if (e.load(this.save(!0)), a.fromMatrix) { - var o = e.circuitMatrix(), u = []; - return o.map(function(l) { - l.map(function(d) { - typeof d == "object" ? u.push([d.re, d.im]) : u.push(d); + var f = r.getRawGate(u, p.options), l = []; + f.map(function(v) { + var N = []; + v.map(function(b) { + b = JSON.parse(JSON.stringify(b)), typeof b == "object" && b.mathjs && typeof b.mathjs == "string" && (b.type = b.mathjs.toLowerCase(), delete b.mathjs), N.push(b); + }), l.push(N); }); - }), s.problem.push({ - unitary: u - }), s; - } - if (!a.noVectors) { - for (var p = new b(), v = a.numSamples || (this.numQubits < 3 ? 8 : this.numQubits < 5 ? (1 << this.numQubits) + 1 : this.numQubits < 9 ? this.numQubits * 4 : this.numQubits), f = 0; f < v + 1; f++) { - var h = { input: [], output: [] }, m = []; - f > 0 ? (p.randomCircuit(this.numQubits, 20, { useGates: a.useGates || ["u3", "cx"], noClassicControl: !0, noMeasure: !0, noReset: !0 }), p.run(), p.stateAsArray().map(function(l) { - h.input.push([l.amplitude.re, l.amplitude.im]); - }), m = p.state) : (e.initState(), e.stateAsArray().map(function(l) { - h.input.push([l.amplitude.re, l.amplitude.im]); - }), m = e.state), e.run(null, { initialState: m }), e.stateAsArray().map(function(l) { - h.output.push([l.amplitude.re, l.amplitude.im]); - }), s.problem.push(h); - } - return s; - } - return s; - }; - b.prototype.save = function(a, t) { - this.updateGlobalParams(); - var r = { - numQubits: this.numQubits, - params: JSON.parse(JSON.stringify(this.params)), - options: JSON.parse(JSON.stringify(this.options)), - gates: JSON.parse(JSON.stringify(this.gates)), - customGates: JSON.parse(JSON.stringify(this.customGates)), - cregs: JSON.parse(JSON.stringify(this.cregs)) - }, n = null; - if (a ? n = this.decompose(r) : n = r, t && (n.gates && n.gates.map(function(o) { - o && o.map(function(u) { - u && u.id && delete u.id; - }); - }), n.customGates)) - for (var s in n.customGates) { - var e = n.customGates[s]; - e && e.gates && e.gates.map(function(o) { - o && o.map(function(u) { - u && u.id && delete u.id; - }); + var c = {}; + if (p.options && (c = JSON.parse(JSON.stringify(p.options))), c.params) + for (var h in c.params) + c.params[h] = Br(c.params[h], t); + a.push({ + name: p.name, + matrix: l, + wires: p.wires, + options: c }); } - return n; - }; - b.prototype.load = function(a) { - this.numQubits = a.numQubits || 1, this.clear(), this.params = JSON.parse(JSON.stringify(a.params || [])), this.options = JSON.parse(JSON.stringify(a.options || {})), this.gates = JSON.parse(JSON.stringify(a.gates || [])), this.customGates = JSON.parse(JSON.stringify(a.customGates || {})), this.cregs = JSON.parse(JSON.stringify(a.cregs || {})), this.options.params = this.options.params || {}, this.options.hybrid = this.options.hybrid || !1, this.options.hybridOptions || (this.options.hybridOptions = this.defaultHybridOptions()); - }; - var ot = function(a) { - if (a <= 0) - throw new Error("Cannot generate the gray code for less than 1 bit."); - var t = [0]; - for (i = 0; i < a; i++) { - var r = [].concat(t).reverse(); - r.map(function(s) { - t.push(s + x.pow(2, i)); - }); } - var n = []; - return t.map(function(s) { - n.push(Dr(s, a)); - }), n; + var d = []; + for (var g in r.cregs) + d.push({ + name: g, + len: r.cregs[g].length || 0 + }); + return { + qubits: r.numQubits, + cregs: d, + program: a }; - b.prototype.grayCodeChain = function(a, t, r) { - function n(m, l) { - for (var d = [], c = 0; c < m.length; c++) - d.push(m[c] != l[c]); - return d; - } - function s(m, l) { - for (var d = [], c = 0; c < m.length; c++) - m[c] == l && d.push(c); - return d; - } - function e(m, l) { - for (var d = 0, c = 0; c < m.length; c++) - m[c] == l && d++; - return d; - } - for (var o = [], u = 0; u < a; u++) - o.push(u); - var p = a, v = ot(a), f = null, h = []; - return v.map(function(m) { - var l = m.indexOf("1"); - if (l >= 0) { - f || (f = m); - var d = n(m, f), c = d.indexOf(!0); - if (c >= 0) - if (c != l) - h.push({ gateName: "cx", wires: [o[c], o[l]], options: null }); - else - for (var T = s(m, "1"), _ = 1; _ < T.length; _++) - h.push({ gateName: "cx", wires: [o[T[_]], o[l]], options: null }); - if (e(m, "1") % 2) - h.push({ gateName: t, wires: [o[l], p], options: r }); - else { - var S = null; - if (r && (S = JSON.parse(JSON.stringify(r)), S.params)) - for (key in S.params) { - var O = S.params[key]; - typeof O == "number" ? O = 0 - O : O = "-(" + O + ")", S.params[key] = O; - } - h.push({ gateName: t, wires: [o[l], p], options: S }); - } - f = m; +}; +ge.prototype.exportToGenerator = function(t) { + t = t || {}; + var e = this.exportQASM(null, !1, null, !1, !0), r = this.usedGates({ noCustomGates: !0, unitariesOnly: !0 }), n = this.getCouplingMap({ unitariesOnly: !0 }), a = { + source: { + circuit: { + qasm: e } - }), h; - }; - b.prototype.MCU1Circuit = function(a) { - var t = 0, r = []; - if (typeof a == "number") - t = a; - else { - t = a.length || 0; - for (var n = 0; n < t; n++) - (!a[n] || typeof a[n] == "number" && a[n] < 0) && r.push(n); - } - if (t == 0) - throw new Error("Cannot create multi-controlled gate with zero control qubits."); - function s(v, f) { - f.map(function(h) { - v.appendGate("x", h); - }); + }, + problem: [], + type: "circuit", + settings: { + allowed_gates: r.join(","), + coupling_map: n } - var e = "lambda / " + x.pow(2, t - 1), o = { params: { lambda: e } }, u = new b(); - if (t == 1) - return s(u, r), u.appendGate("cu1", [0, 1], o), s(u, r), u; - s(u, r); - var p = this.grayCodeChain(t, "cu1", o); - return p.map(function(v) { - u.appendGate(v.gateName, v.wires, v.options); - }), s(u, r), u; - }; - b.prototype.MCXCircuit = function(a) { - var t = 0, r = []; - if (typeof a == "number") - t = a; - else { - t = a.length || 0; - for (var n = 0; n < t; n++) - (!a[n] || typeof a[n] == "number" && a[n] < 0) && r.push(n); - } - var s = new b(); - if (t == 0) - throw new Error("Cannot create multi-controlled gate with zero control qubits."); - function e(v, f) { - f.map(function(h) { - v.appendGate("x", h); + }, s = new ge(); + if (s.load(this.save(!0)), t.fromMatrix) { + var o = s.circuitMatrix(), p = []; + return o.map(function(d) { + d.map(function(g) { + typeof g == "object" ? p.push([g.re, g.im]) : p.push(g); }); + }), a.problem.push({ + unitary: p + }), a; + } + if (!t.noVectors) { + for (var u = new ge(), f = t.numSamples || (this.numQubits < 3 ? 8 : this.numQubits < 5 ? (1 << this.numQubits) + 1 : this.numQubits < 9 ? this.numQubits * 4 : this.numQubits), l = 0; l < f + 1; l++) { + var c = { input: [], output: [] }, h = []; + l > 0 ? (u.randomCircuit(this.numQubits, 20, { useGates: t.useGates || ["u3", "cx"], noClassicControl: !0, noMeasure: !0, noReset: !0 }), u.run(), u.stateAsArray().map(function(d) { + c.input.push([d.amplitude.re, d.amplitude.im]); + }), h = u.state) : (s.initState(), s.stateAsArray().map(function(d) { + c.input.push([d.amplitude.re, d.amplitude.im]); + }), h = s.state), s.run(null, { initialState: h }), s.stateAsArray().map(function(d) { + c.output.push([d.amplitude.re, d.amplitude.im]); + }), a.problem.push(c); } - if (t == 1) - return e(s, r), s.appendGate("cx", [0, 1]), e(s, r), s; - if (t == 2) - return e(s, r), s.appendGate("ccx", [0, 1, 2]), e(s, r), s; - for (var o = s.MCU1Circuit(t), u = "mcu1_" + t, p = [], n = 0; n < t + 1; n++) - p.push(n); - return s.registerGate(u, o), e(s, r), s.appendGate("h", t), s.appendGate(u, p, { params: { lambda: "pi" } }), e(s, r), s.appendGate("h", t), s; - }; - b.prototype.registerGate = function(a, t) { - if (t instanceof b ? this.customGates[a] = t.save() : this.customGates[a] = t, this.isMultiControlledGate(a)) { - var r = this.decodeMultiControlledGateName(a); - if (r.numCtrlQubits != this.customGates[a].numQubits - 1) { - r.numCtrlQubits = this.customGates[a].numQubits - 1; - for (var n = [], s = 0; s < r.numCtrlQubits; s++) - n.push(typeof r.ctrlQubits[s] == "undefined" ? !0 : r.ctrlQubits[s]); - r.ctrlQubits = n; - } - var e = this.basicGates[r.rootName]; - if (e && e.drawingInfo && e.drawingInfo.connectors) { - this.customGates[a].drawingInfo || (this.customGates[a].drawingInfo = {}); - var o = []; - r.ctrlQubits.map(function(u) { - u ? o.push("dot") : o.push("ndot"); - }), o.push(e.drawingInfo.connectors[e.drawingInfo.connectors.length - 1]), this.customGates[a].drawingInfo.connectors = o, this.customGates[a].drawingInfo.root = e.drawingInfo.root; - } - } - }; - b.prototype.registerMCXGate = function(a) { - var t = this.multiControlledGateName("mcx", a); - return this.registerGate(t, this.MCXCircuit(a).save(!0)), t; - }; - b.prototype.registerMCU1Gate = function(a) { - var t = this.multiControlledGateName("mcu1", a); - return this.registerGate(t, this.MCU1Circuit(a).save(!0)), t; - }; - b.prototype.registerMultiControlledGate = function(a, t) { - switch (a) { - case "cx": - return this.registerMCXGate(t); - case "cu1": - return this.registerMCU1Gate(t); + return a; + } + return a; +}; +ge.prototype.save = function(t, e) { + this.updateGlobalParams(); + var r = { + numQubits: this.numQubits, + params: JSON.parse(JSON.stringify(this.params)), + options: JSON.parse(JSON.stringify(this.options)), + gates: JSON.parse(JSON.stringify(this.gates)), + customGates: JSON.parse(JSON.stringify(this.customGates)), + cregs: JSON.parse(JSON.stringify(this.cregs)) + }, n = null; + if (t ? n = this.decompose(r) : n = r, e && (n.gates && n.gates.map(function(o) { + o && o.map(function(p) { + p && p.id && delete p.id; + }); + }), n.customGates)) + for (var a in n.customGates) { + var s = n.customGates[a]; + s && s.gates && s.gates.map(function(o) { + o && o.map(function(p) { + p && p.id && delete p.id; + }); + }); } - return ""; - }; - b.prototype.getOrRegisterMultiControlledEquivalent = function(a, t) { - var r = this.basicGates[a]; - if (r) { - if (r.drawingInfo && (a == "x" || a == "u1" || r.drawingInfo.root == "x" || r.drawingInfo.root == "u1")) - if (!this.basicGates["c" + a] || t) { - for (var n = "c" + (r.drawingInfo.root || a), s = x.log2(r.matrix.length), e = [], o = 0; o < s - 1; o++) - e.push(!0); - return e.unshift(!t), this.registerMultiControlledGate(n, e); - } else - return "c" + a; - for (var u in this.basicGates) { - var p = this.basicGates[u]; - if (p && p.drawingInfo && p.drawingInfo.root && p.drawingInfo.root == a && !t) - return u; + return n; +}; +ge.prototype.load = function(t) { + this.numQubits = t.numQubits || 1, this.clear(), this.params = JSON.parse(JSON.stringify(t.params || [])), this.options = JSON.parse(JSON.stringify(t.options || {})), this.gates = JSON.parse(JSON.stringify(t.gates || [])), this.customGates = JSON.parse(JSON.stringify(t.customGates || {})), this.cregs = JSON.parse(JSON.stringify(t.cregs || {})), this.options.params = this.options.params || {}, this.options.hybrid = this.options.hybrid || !1, this.options.hybridOptions || (this.options.hybridOptions = this.defaultHybridOptions()); +}; +var Sk = function(t) { + if (t <= 0) + throw new Error("Cannot generate the gray code for less than 1 bit."); + var e = [0]; + for (i = 0; i < t; i++) { + var r = [].concat(e).reverse(); + r.map(function(a) { + e.push(a + _t(2, i)); + }); + } + var n = []; + return e.map(function(a) { + n.push(TS(a, t)); + }), n; +}; +ge.prototype.grayCodeChain = function(t, e, r) { + function n(h, d) { + for (var g = [], v = 0; v < h.length; v++) + g.push(h[v] != d[v]); + return g; + } + function a(h, d) { + for (var g = [], v = 0; v < h.length; v++) + h[v] == d && g.push(v); + return g; + } + function s(h, d) { + for (var g = 0, v = 0; v < h.length; v++) + h[v] == d && g++; + return g; + } + for (var o = [], p = 0; p < t; p++) + o.push(p); + var u = t, f = Sk(t), l = null, c = []; + return f.map(function(h) { + var d = h.indexOf("1"); + if (d >= 0) { + l || (l = h); + var g = n(h, l), v = g.indexOf(!0); + if (v >= 0) + if (v != d) + c.push({ gateName: "cx", wires: [o[v], o[d]], options: null }); + else + for (var N = a(h, "1"), b = 1; b < N.length; b++) + c.push({ gateName: "cx", wires: [o[N[b]], o[d]], options: null }); + if (s(h, "1") % 2) + c.push({ gateName: e, wires: [o[d], u], options: r }); + else { + var C = null; + if (r && (C = JSON.parse(JSON.stringify(r)), C.params)) + for (key in C.params) { + var x = C.params[key]; + typeof x == "number" ? x = 0 - x : x = "-(" + x + ")", C.params[key] = x; + } + c.push({ gateName: e, wires: [o[d], u], options: C }); } - return null; + l = h; } - if (this.customGates[a]) { - var v = this.decodeMultiControlledGateName(a); - return !v || !v.numCtrlQubits ? null : v.rootName == "cx" || v.rootName == "cu1" ? (v.ctrlQubits.unshift(!t), this.registerMultiControlledGate(v.rootName, v.ctrlQubits)) : null; + }), c; +}; +ge.prototype.MCU1Circuit = function(t) { + var e = 0, r = []; + if (typeof t == "number") + e = t; + else { + e = t.length || 0; + for (var n = 0; n < e; n++) + (!t[n] || typeof t[n] == "number" && t[n] < 0) && r.push(n); + } + if (e == 0) + throw new Error("Cannot create multi-controlled gate with zero control qubits."); + function a(f, l) { + l.map(function(c) { + f.appendGate("x", c); + }); + } + var s = "lambda / " + _t(2, e - 1), o = { params: { lambda: s } }, p = new ge(); + if (e == 1) + return a(p, r), p.appendGate("cu1", [0, 1], o), a(p, r), p; + a(p, r); + var u = this.grayCodeChain(e, "cu1", o); + return u.map(function(f) { + p.appendGate(f.gateName, f.wires, f.options); + }), a(p, r), p; +}; +ge.prototype.MCXCircuit = function(t) { + var e = 0, r = []; + if (typeof t == "number") + e = t; + else { + e = t.length || 0; + for (var n = 0; n < e; n++) + (!t[n] || typeof t[n] == "number" && t[n] < 0) && r.push(n); + } + var a = new ge(); + if (e == 0) + throw new Error("Cannot create multi-controlled gate with zero control qubits."); + function s(f, l) { + l.map(function(c) { + f.appendGate("x", c); + }); + } + if (e == 1) + return s(a, r), a.appendGate("cx", [0, 1]), s(a, r), a; + if (e == 2) + return s(a, r), a.appendGate("ccx", [0, 1, 2]), s(a, r), a; + for (var o = a.MCU1Circuit(e), p = "mcu1_" + e, u = [], n = 0; n < e + 1; n++) + u.push(n); + return a.registerGate(p, o), s(a, r), a.appendGate("h", e), a.appendGate(p, u, { params: { lambda: "pi" } }), s(a, r), a.appendGate("h", e), a; +}; +ge.prototype.registerGate = function(t, e) { + if (e instanceof ge ? this.customGates[t] = e.save() : this.customGates[t] = e, this.isMultiControlledGate(t)) { + var r = this.decodeMultiControlledGateName(t); + if (r.numCtrlQubits != this.customGates[t].numQubits - 1) { + r.numCtrlQubits = this.customGates[t].numQubits - 1; + for (var n = [], a = 0; a < r.numCtrlQubits; a++) + n.push(typeof r.ctrlQubits[a] > "u" ? !0 : r.ctrlQubits[a]); + r.ctrlQubits = n; } - return null; - }; - b.prototype.removeUnusedMultiControlledGates = function() { - var a = this.countOps(null, { shallow: !1 }); - for (gateName in this.customGates) - a[gateName] || this.isMultiControlledGate(gateName) && delete this.customGates[gateName]; - }; - b.prototype.decodeMultiControlledGateName = function(a) { - if (!a) - return null; - var t = {}, r = a.split("_"); - if (r.length > 0 && (t.name = r[0], t.rootName = t.name.substring(1), t.rootName != "cx" && t.rootName != "cu1")) - return null; - if (r.length > 1) { - var n = parseInt(r[1]); - !isNaN(n) && n <= 20 && (t.numCtrlQubits = n); + var s = this.basicGates[r.rootName]; + if (s && s.drawingInfo && s.drawingInfo.connectors) { + this.customGates[t].drawingInfo || (this.customGates[t].drawingInfo = {}); + var o = []; + r.ctrlQubits.map(function(p) { + p ? o.push("dot") : o.push("ndot"); + }), o.push(s.drawingInfo.connectors[s.drawingInfo.connectors.length - 1]), this.customGates[t].drawingInfo.connectors = o, this.customGates[t].drawingInfo.root = s.drawingInfo.root; } - if (t.numCtrlQubits) { - var s = []; - if (r.length > 2) - for (var e = 0; e < r[2].length; e++) - r[2][e] == "0" && s.push(!1), r[2][e] == "1" && s.push(!0); - if (!s.length) - for (var e = 0; e < n; e++) + } +}; +ge.prototype.registerMCXGate = function(t) { + var e = this.multiControlledGateName("mcx", t); + return this.registerGate(e, this.MCXCircuit(t).save(!0)), e; +}; +ge.prototype.registerMCU1Gate = function(t) { + var e = this.multiControlledGateName("mcu1", t); + return this.registerGate(e, this.MCU1Circuit(t).save(!0)), e; +}; +ge.prototype.registerMultiControlledGate = function(t, e) { + switch (t) { + case "cx": + return this.registerMCXGate(e); + case "cu1": + return this.registerMCU1Gate(e); + } + return ""; +}; +ge.prototype.getOrRegisterMultiControlledEquivalent = function(t, e) { + var r = this.basicGates[t]; + if (r) { + if (r.drawingInfo && (t == "x" || t == "u1" || r.drawingInfo.root == "x" || r.drawingInfo.root == "u1")) + if (!this.basicGates["c" + t] || e) { + for (var n = "c" + (r.drawingInfo.root || t), a = vi(r.matrix.length), s = [], o = 0; o < a - 1; o++) s.push(!0); - t.ctrlQubits = s; - } - return t; - }; - b.prototype.multiControlledGateName = function(a, t) { - var r = a + "_"; - if (typeof t == "number") - r += t; - else { - r += t.length || 0; - var n = ""; - t.map(function(s) { - !s || typeof s == "number" && s < 0 ? n += "0" : n += "1"; - }), n.indexOf("0") < 0 && (n = ""), n && (r += "_" + n); - } - return r; - }; - b.prototype.isMultiControlledGate = function(a) { - var t = this.decodeMultiControlledGateName(a), r = !!this.customGates[a] && !!t && !!t.numCtrlQubits; - return r; - }; - b.prototype.isControllableGate = function(a) { - var t = this.basicGates[a]; - if (t) { - if (t.drawingInfo && (t.drawingInfo.root == "x" || t.drawingInfo.root == "u1")) - return !0; - for (var r in this.basicGates) { - var t = this.basicGates[r]; - if (t && t.drawingInfo && t.drawingInfo.root && t.drawingInfo.root == a) - return !0; - } + return s.unshift(!e), this.registerMultiControlledGate(n, s); + } else + return "c" + t; + for (var p in this.basicGates) { + var u = this.basicGates[p]; + if (u && u.drawingInfo && u.drawingInfo.root && u.drawingInfo.root == t && !e) + return p; } - return this.isMultiControlledGate(a); - }; - b.prototype.getGatePosById = function(a) { - for (var t = this, r = t.numCols(), n = 0; n < r; n++) - for (var s = 0; s < t.numQubits; s++) { - var e = t.getGateAt(n, s); - if (e && e.id == a) - return { - wires: e.wires, - col: n - }; - } - return { - wires: [], - col: -1 - }; - }; - b.prototype.getGateById = function(a) { - for (var t = this, r = t.numCols(), n = 0; n < r; n++) - for (var s = 0; s < t.numQubits; s++) { - var e = t.getGateAt(n, s); - if (e && e.id == a) - return e; - } return null; - }; - b.prototype.getGateBefore = function(a, t) { - for (var r = null, n = a - 1; n >= 0 && !r; ) - r = this.getGateAt(n, t), n--; - return r; - }; - b.prototype.getGateAt = function(a, t) { - if (!this.gates[t] || !this.gates[t][a]) - return null; - var r = JSON.parse(JSON.stringify(this.gates[t][a])); - if (!r) - return null; - r.column = a, r.wires = []; - for (var n = r.id, s = this.gates.length, t = 0; t < s; t++) { - var e = this.gates[t][a]; - e && e.id == n && (r.wires[e.connector] = t); + } + if (this.customGates[t]) { + var f = this.decodeMultiControlledGateName(t); + return !f || !f.numCtrlQubits ? null : f.rootName == "cx" || f.rootName == "cu1" ? (f.ctrlQubits.unshift(!e), this.registerMultiControlledGate(f.rootName, f.ctrlQubits)) : null; + } + return null; +}; +ge.prototype.removeUnusedMultiControlledGates = function() { + var t = this.countOps(null, { shallow: !1 }); + for (gateName in this.customGates) + t[gateName] || this.isMultiControlledGate(gateName) && delete this.customGates[gateName]; +}; +ge.prototype.decodeMultiControlledGateName = function(t) { + if (!t) + return null; + var e = {}, r = t.split("_"); + if (r.length > 0 && (e.name = r[0], e.rootName = e.name.substring(1), e.rootName != "cx" && e.rootName != "cu1")) + return null; + if (r.length > 1) { + var n = parseInt(r[1]); + !isNaN(n) && n <= 20 && (e.numCtrlQubits = n); + } + if (e.numCtrlQubits) { + var a = []; + if (r.length > 2) + for (var s = 0; s < r[2].length; s++) + r[2][s] == "0" && a.push(!1), r[2][s] == "1" && a.push(!0); + if (!a.length) + for (var s = 0; s < n; s++) + a.push(!0); + e.ctrlQubits = a; + } + return e; +}; +ge.prototype.multiControlledGateName = function(t, e) { + var r = t + "_"; + if (typeof e == "number") + r += e; + else { + r += e.length || 0; + var n = ""; + e.map(function(a) { + !a || typeof a == "number" && a < 0 ? n += "0" : n += "1"; + }), n.indexOf("0") < 0 && (n = ""), n && (r += "_" + n); + } + return r; +}; +ge.prototype.isMultiControlledGate = function(t) { + var e = this.decodeMultiControlledGateName(t), r = !!this.customGates[t] && !!e && !!e.numCtrlQubits; + return r; +}; +ge.prototype.isControllableGate = function(t) { + var e = this.basicGates[t]; + if (e) { + if (e.drawingInfo && (e.drawingInfo.root == "x" || e.drawingInfo.root == "u1")) + return !0; + for (var r in this.basicGates) { + var e = this.basicGates[r]; + if (e && e.drawingInfo && e.drawingInfo.root && e.drawingInfo.root == t) + return !0; } - return r; - }; - b.prototype.getGatesAtColumn = function(a) { - for (var t = [], r = this.gates.length, n = 0; n < r; n++) { - var s = this.getGateAt(a, n); - s && s.connector == 0 && t.push(s); + } + return this.isMultiControlledGate(t); +}; +ge.prototype.getGatePosById = function(t) { + for (var e = this, r = e.numCols(), n = 0; n < r; n++) + for (var a = 0; a < e.numQubits; a++) { + var s = e.getGateAt(n, a); + if (s && s.id == t) + return { + wires: s.wires, + col: n + }; } - return t; + return { + wires: [], + col: -1 }; - b.prototype.getControllableGatesAtColumn = function(a) { - for (var t = this.getGatesAtColumn(a), r = [], n = 0; n < t.length; n++) { - var s = t[n]; - this.isControllableGate(s.name) && r.push(s); +}; +ge.prototype.getGateById = function(t) { + for (var e = this, r = e.numCols(), n = 0; n < r; n++) + for (var a = 0; a < e.numQubits; a++) { + var s = e.getGateAt(n, a); + if (s && s.id == t) + return s; } - return r; - }; - b.prototype.exportJavaScript = function(a, t, r, n) { - var s = this, e = null; - t ? (e = new b(), e.load(this.save(!0))) : e = this; - var o = ""; - if (a) { - var u = (a || "").split(` + return null; +}; +ge.prototype.getGateBefore = function(t, e) { + for (var r = null, n = t - 1; n >= 0 && !r; ) + r = this.getGateAt(n, e), n--; + return r; +}; +ge.prototype.getGateAt = function(t, e) { + if (!this.gates[e] || !this.gates[e][t]) + return null; + var r = JSON.parse(JSON.stringify(this.gates[e][t])); + if (!r) + return null; + r.column = t, r.wires = []; + for (var n = r.id, a = this.gates.length, e = 0; e < a; e++) { + var s = this.gates[e][t]; + s && s.id == n && (r.wires[s.connector] = e); + } + return r; +}; +ge.prototype.getGatesAtColumn = function(t) { + for (var e = [], r = this.gates.length, n = 0; n < r; n++) { + var a = this.getGateAt(t, n); + a && a.connector == 0 && e.push(a); + } + return e; +}; +ge.prototype.getControllableGatesAtColumn = function(t) { + for (var e = this.getGatesAtColumn(t), r = [], n = 0; n < e.length; n++) { + var a = e[n]; + this.isControllableGate(a.name) && r.push(a); + } + return r; +}; +ge.prototype.exportJavaScript = function(t, e, r, n) { + var a = this, s = null; + e ? (s = new ge(), s.load(this.save(!0))) : s = this; + var o = ""; + if (t) { + var p = (t || "").split(` `); - u.map(function(j) { - j.length >= 2 && j[0] != "/" && j[1] != "/" && (o += "// "), o += j, o += ` + p.map(function(O) { + O.length >= 2 && O[0] != "/" && O[1] != "/" && (o += "// "), o += O, o += ` `; - }); - } - var p = "", v = ""; - if (r) - p = " ", v = "circ", o += "const " + r + ` = function() { -`, o += p + "const " + v + " = new QuantumCircuit(" + e.numQubits + `); + }); + } + var u = "", f = ""; + if (r) + u = " ", f = "circ", o += "const " + r + ` = function() { +`, o += u + "const " + f + " = new QuantumCircuit(" + s.numQubits + `); -`, e.params && e.params.length && (o += p + v + ".params = " + JSON.stringify(e.params) + ` +`, s.params && s.params.length && (o += u + f + ".params = " + JSON.stringify(s.params) + ` `); - else { - p = "", v = "circuit", o += p + `const QuantumCircuit = require("quantum-circuit"); + else { + u = "", f = "circuit", o += u + `const QuantumCircuit = require("quantum-circuit"); -`, o += p + "const " + v + " = new QuantumCircuit(" + e.numQubits + `); +`, o += u + "const " + f + " = new QuantumCircuit(" + s.numQubits + `); `; - var f = e.usedGates(); - if (!t) { - var h = []; - f.map(function(j) { - var y = e.basicGates[j]; - if (!y) { - var Z = s.customGates[j]; - if (Z) { - var G = new b(); - G.load(Z), o += G.exportJavaScript("", !0, j), h.push(j); - } + var l = s.usedGates(); + if (!e) { + var c = []; + l.map(function(O) { + var T = s.basicGates[O]; + if (!T) { + var I = a.customGates[O]; + if (I) { + var q = new ge(); + q.load(I), o += q.exportJavaScript("", !0, O), c.push(O); } - }), h.map(function(j) { - o += p + v + '.registerGate("' + j + '", ' + j + `()); + } + }), c.map(function(O) { + o += u + f + '.registerGate("' + O + '", ' + O + `()); `; - }), h.length > 0 && (o += ` + }), c.length > 0 && (o += ` `); - } } - var m = 0; - for (var l in this.cregs) - o += p + v + '.createCreg("' + l + '", ' + (this.cregs[l].length || 1) + `); -`, m++; - m > 0 && (o += ` + } + var h = 0; + for (var d in this.cregs) + o += u + f + '.createCreg("' + d + '", ' + (this.cregs[d].length || 1) + `); +`, h++; + h > 0 && (o += ` `); - for (var d = e.numCols(), c = 0; c < d; c++) - for (var T = 0; T < this.numQubits; T++) { - var _ = e.getGateAt(c, T); - if (_ && _.connector == 0) { - var S = _.name; - if (S == "measure" && _.options && _.options.creg) - o += p + v + ".addMeasure(" + T + ', "' + _.options.creg.name + '", ' + _.options.creg.bit + `); + for (var g = s.numCols(), v = 0; v < g; v++) + for (var N = 0; N < this.numQubits; N++) { + var b = s.getGateAt(v, N); + if (b && b.connector == 0) { + var C = b.name; + if (C == "measure" && b.options && b.options.creg) + o += u + f + ".addMeasure(" + N + ', "' + b.options.creg.name + '", ' + b.options.creg.bit + `); `; + else { + if (o += u + f + '.appendGate("' + b.name + '"', b.wires.length == 1) + o += ", ", o += b.wires[0]; else { - if (o += p + v + '.appendGate("' + _.name + '"', _.wires.length == 1) - o += ", ", o += _.wires[0]; - else { - o += ", ["; - for (var O = 0; O < _.wires.length; O++) - O > 0 && (o += ","), o += _.wires[O]; - o += "]"; - } - if (_.options) { - var k = {}; - for (var Q in _.options) - if (_.options[Q]) { - var R = _.options[Q], g = !1; - typeof R == "object" && Object.keys(R).length === 0 && R.constructor === Object && (g = !0), g || (k[Q] = R); - } - o += ", " + JSON.stringify(k); - } - o += `); -`; + o += ", ["; + for (var x = 0; x < b.wires.length; x++) + x > 0 && (o += ","), o += b.wires[x]; + o += "]"; + } + if (b.options) { + var E = {}; + for (var D in b.options) + if (b.options[D]) { + var A = b.options[D], M = !1; + typeof A == "object" && Object.keys(A).length === 0 && A.constructor === Object && (M = !0), M || (E[D] = A); + } + o += ", " + JSON.stringify(E); } + o += `); +`; } } - if (r ? (o += ` -`, o += p + "return " + v + `; + } + if (r ? (o += ` +`, o += u + "return " + f + `; `, o += `}; `) : (o += ` -`, o += p + v + `.run(); +`, o += u + f + `.run(); -`, o += p + `console.log("Probabilities:"); -`, o += p + `console.log(JSON.stringify(circuit.probabilities())); +`, o += u + `console.log("Probabilities:"); +`, o += u + `console.log(JSON.stringify(circuit.probabilities())); -`, o += p + `console.log("Measure all:"); -`, o += p + `console.log(JSON.stringify(circuit.measureAll())); +`, o += u + `console.log("Measure all:"); +`, o += u + `console.log(JSON.stringify(circuit.measureAll())); -`, e.cregCount() && (o += p + `console.log("Classical registers:"); -`, o += p + `console.log(circuit.cregsAsString()); +`, s.cregCount() && (o += u + `console.log("Classical registers:"); +`, o += u + `console.log(circuit.cregsAsString()); `)), n) { - var q = { - metadata: { - kernelspec: { - display_name: "Javascript (Node.js)", - language: "javascript", - name: "javascript" - }, - language_info: { - file_extension: ".js", - mimetype: "application/javascript", - name: "javascript" - } + var _ = { + metadata: { + kernelspec: { + display_name: "Javascript (Node.js)", + language: "javascript", + name: "javascript" }, - nbformat: 4, - nbformat_minor: 0, - cells: [ - { - cell_type: "code", - source: o, - metadata: {}, - outputs: [], - execution_count: null - } - ] - }; - return JSON.stringify(q); - } - return o; - }; - b.prototype.exportQiskit = function(a, t, r, n, s, e, o, u, p, v, f) { - var h = { - comment: a, - decompose: t, - versionStr: n, - providerName: s, - backendName: e, - asJupyter: o, - shots: u, - hybrid: f + language_info: { + file_extension: ".js", + mimetype: "application/javascript", + name: "javascript" + } + }, + nbformat: 4, + nbformat_minor: 0, + cells: [ + { + cell_type: "code", + source: o, + metadata: {}, + outputs: [], + execution_count: null + } + ] }; - return this.exportToQiskit(h, r, p, v); + return JSON.stringify(_); + } + return o; +}; +ge.prototype.exportQiskit = function(t, e, r, n, a, s, o, p, u, f, l) { + var c = { + comment: t, + decompose: e, + versionStr: n, + providerName: a, + backendName: s, + asJupyter: o, + shots: p, + hybrid: l }; - b.prototype.exportQuEST = function(a, t, r, n) { - var s = { - comment: a, - decompose: t - }; - return this.exportToQuEST(s, r, n); + return this.exportToQiskit(c, r, u, f); +}; +ge.prototype.exportQuEST = function(t, e, r, n) { + var a = { + comment: t, + decompose: e }; - b.prototype.exportQASM = function(a, t, r, n, s, e) { - var o = { - comment: a, - decompose: t, - compatibilityMode: s - }; - return this.exportToQASM(o, r, n, e); - }; - b.prototype.importQASM = function(a, t, r) { - this.init(), st(this, a, t, r); - }; - b.prototype.exportPyquil = function(a, t, r, n, s, e, o, u, p) { - var v = { - comment: a, - decompose: t, - versionStr: n, - lattice: s, - asQVM: e, - asJupyter: o, - shots: u, - hybrid: p - }; - return this.exportToPyquil(v, r); + return this.exportToQuEST(a, r, n); +}; +ge.prototype.exportQASM = function(t, e, r, n, a, s) { + var o = { + comment: t, + decompose: e, + compatibilityMode: a }; - b.prototype.exportQuil = function(a, t, r, n) { - var s = { - comment: a, - decompose: t, - versionStr: n - }; - return this.exportToQuil(s, r); - }; - b.prototype.importQuil = function(a, t, r, n, s, e) { - var o = this; - r = r || {}, o.init(), s = s || {}, e = e || 0; - function u($) { - if (o.customGates && o.customGates[$]) - return { name: $, customGate: o.customGates[$] }; - for (var C in o.basicGates) { - var K = o.basicGates[C]; - if (K.exportInfo) { - if (K.exportInfo.quil && K.exportInfo.quil.name == $) - return { name: C, gateDef: K, quilDef: K.exportInfo.quil }; - if (K.exportInfo.pyquil && K.exportInfo.pyquil.name == $) - return { name: C, gateDef: K, quilDef: K.exportInfo.pyquil }; - } + return this.exportToQASM(o, r, n, s); +}; +ge.prototype.importQASM = function(t, e, r) { + this.init(), Ek(this, t, e, r); +}; +ge.prototype.exportPyquil = function(t, e, r, n, a, s, o, p, u) { + var f = { + comment: t, + decompose: e, + versionStr: n, + lattice: a, + asQVM: s, + asJupyter: o, + shots: p, + hybrid: u + }; + return this.exportToPyquil(f, r); +}; +ge.prototype.exportQuil = function(t, e, r, n) { + var a = { + comment: t, + decompose: e, + versionStr: n + }; + return this.exportToQuil(a, r); +}; +ge.prototype.importQuil = function(t, e, r, n, a, s) { + var o = this; + r = r || {}, o.init(), a = a || {}, s = s || 0; + function p(R) { + if (o.customGates && o.customGates[R]) + return { name: R, customGate: o.customGates[R] }; + for (var G in o.basicGates) { + var P = o.basicGates[G]; + if (P.exportInfo) { + if (P.exportInfo.quil && P.exportInfo.quil.name == R) + return { name: G, gateDef: P, quilDef: P.exportInfo.quil }; + if (P.exportInfo.pyquil && P.exportInfo.pyquil.name == R) + return { name: G, gateDef: P, quilDef: P.exportInfo.pyquil }; } - return null; } - var p = a.split(` -`), v = [], f = !1; - p.map(function($, C) { - if ($ = $.split("#")[0], $.length ? $ = $.trim() : f = !1, f) { - var L = $.split(";"); - L.map(function(z) { - z.trim().length && v[v.length - 1].body.push(z.trim()); - }); - } else if ($.length) { - var K = $.split(";"), L = []; - K.map(function(pr) { - pr.trim().length && L.push(pr.trim()); - }), L.map(function(pr) { - var z = pr.split(" "), J = z[z.length - 1]; - if (J.length && (J[J.length - 1] == ":" && (f = !0, J = J.substring(0, J.length - 1), z[z.length - 1] = J), z.length)) { - var M = "GATE"; - (z[0] == "DEFGATE" || z[0] == "DEFCIRCUIT") && (M = z[0], z.splice(0, 1)); - var V = z.join(" "), I = [], F = V.indexOf("("); - if (F >= 0) { - var N = V.indexOf(")"); - N > F && (I = V.substring(F + 1, N).split(","), I.map(function(H, U) { - for (H = H.trim(); H.length && H[0] == "%"; ) - H = H.slice(1); - I[U] = H; - }), N + 1 <= V.length ? (tok = V.substring(N + 1, V.length).split(" "), z = [], tok.map(function(H) { - H = H.trim(), H.length && z.push(H); - })) : z = [], V = V.substring(0, F).trim()); - } else - V = z.splice(0, 1)[0].trim(); - for (var X = [], er = 0; er < z.length; er++) { - var D = z[er]; - if (n) { - var tr = n.indexOf(D); - tr >= 0 ? X.push(tr) : X.push(D); + return null; + } + var u = t.split(` +`), f = [], l = !1; + u.map(function(R, G) { + if (R = R.split("#")[0], R.length ? R = R.trim() : l = !1, l) { + var W = R.split(";"); + W.map(function(Z) { + Z.trim().length && f[f.length - 1].body.push(Z.trim()); + }); + } else if (R.length) { + var P = R.split(";"), W = []; + P.map(function(le) { + le.trim().length && W.push(le.trim()); + }), W.map(function(le) { + var Z = le.split(" "), H = Z[Z.length - 1]; + if (H.length && (H[H.length - 1] == ":" && (l = !0, H = H.substring(0, H.length - 1), Z[Z.length - 1] = H), Z.length)) { + var te = "GATE"; + (Z[0] == "DEFGATE" || Z[0] == "DEFCIRCUIT") && (te = Z[0], Z.splice(0, 1)); + var be = Z.join(" "), K = [], ce = be.indexOf("("); + if (ce >= 0) { + var de = be.indexOf(")"); + if (de > ce) { + if (K = be.substring(ce + 1, de).split(","), K.map(function(we, Se) { + for (we = we.trim(); we.length && we[0] == "%"; ) + we = we.slice(1); + K[Se] = we; + }), de + 1 <= be.length) { + const we = be.substring(de + 1, be.length).split(" "); + Z = [], we.map(function(Se) { + Se = Se.trim(), Se.length && Z.push(Se); + }); } else - X.push(D); - } - v.push({ type: M, name: V, params: I, args: X, body: [], line: C, col: 0 }); - } - }); - } - }); - for (var h = v.length, m = 0; m < h; m++) { - var l = v[m]; - switch (s[l.name] && (l.name = s[l.name]), l.type) { - case "DEFGATE": - if (l.name == l.name.toUpperCase()) { - var d = l.name.toLowerCase(); - s[l.name] = d, l.name = d; - } - break; - case "DEFCIRCUIT": - { - if (l.name == l.name.toUpperCase()) { - var d = l.name.toLowerCase(); - s[l.name] = d, l.name = d; + Z = []; + be = be.substring(0, ce).trim(); } - var c = l.body.join(` -`), T = l.args, _ = new b(); - _.importQuil(c, t, r, T, s, l.line + 1), _.params = JSON.parse(JSON.stringify(l.params)), o.registerGate(l.name, _.save()); + } else + be = Z.splice(0, 1)[0].trim(); + for (var ue = [], ve = 0; ve < Z.length; ve++) { + var he = Z[ve]; + if (n) { + var Ne = n.indexOf(he); + Ne >= 0 ? ue.push(Ne) : ue.push(he); + } else + ue.push(he); } - break; - case "GATE": - switch (l.name) { - case "DECLARE": - break; - case "HALT": - break; - case "PRAGMA": - break; - default: { - var S = u(l.name); - if (S) { - var k = {}; - if (S.gateDef) { - var Q = S.gateDef, R = S.quilDef; - if ((R.params || []).length != (l.params || []).length) { - var O = "Invalid number of params. Expected " + (R.params || []).length + " got " + (l.params || []).length + "."; - if (t) { - t([{ msg: O, line: e + l.line, col: l.col }]); - return; - } else - throw new Error(O); + f.push({ type: te, name: be, params: K, args: ue, body: [], line: G, col: 0 }); + } + }); + } + }); + for (var c = f.length, h = 0; h < c; h++) { + var d = f[h]; + switch (a[d.name] && (d.name = a[d.name]), d.type) { + case "DEFGATE": + if (d.name == d.name.toUpperCase()) { + var g = d.name.toLowerCase(); + a[d.name] = g, d.name = g; + } + break; + case "DEFCIRCUIT": + { + if (d.name == d.name.toUpperCase()) { + var g = d.name.toLowerCase(); + a[d.name] = g, d.name = g; + } + var v = d.body.join(` +`), N = d.args, b = new ge(); + b.importQuil(v, e, r, N, a, d.line + 1), b.params = JSON.parse(JSON.stringify(d.params)), o.registerGate(d.name, b.save()); + } + break; + case "GATE": + switch (d.name) { + case "DECLARE": + break; + case "HALT": + break; + case "PRAGMA": + break; + default: { + var C = p(d.name); + if (C) { + var E = {}; + if (C.gateDef) { + var D = C.gateDef, A = C.quilDef; + if ((A.params || []).length != (d.params || []).length) { + var x = "Invalid number of params. Expected " + (A.params || []).length + " got " + (d.params || []).length + "."; + if (e) { + e([{ msg: x, line: s + d.line, col: d.col }]); + return; } else - for (var g = 0; g < Q.params.length; g++) { - var q = Q.params[g], j = R.params.indexOf(q); - if (j < 0 || j >= l.params.length) { - var O = 'Internal error: QUIL definition for gate "' + l.name + " is invalid."; - if (t) { - t([{ msg: O, line: e + l.line, col: l.col }]); - return; - } else - throw new Error(O); + throw new Error(x); + } else + for (var M = 0; M < D.params.length; M++) { + var _ = D.params[M], O = A.params.indexOf(_); + if (O < 0 || O >= d.params.length) { + var x = 'Internal error: QUIL definition for gate "' + d.name + " is invalid."; + if (e) { + e([{ msg: x, line: s + d.line, col: d.col }]); + return; } else - k[q] = l.params[j]; - } - } else { - var Q = S.customGate; - if ((Q.params || []).length != (l.params || []).length) { - var O = "Invalid number of params. Expected " + (Q.params || []).length + " got " + (l.params || []).length + "."; - if (t) { - t([{ msg: O, line: e + l.line, col: l.col }]); - return; + throw new Error(x); } else - throw new Error(O); + E[_] = d.params[O]; + } + } else { + var D = C.customGate; + if ((D.params || []).length != (d.params || []).length) { + var x = "Invalid number of params. Expected " + (D.params || []).length + " got " + (d.params || []).length + "."; + if (e) { + e([{ msg: x, line: s + d.line, col: d.col }]); + return; } else - for (var g = 0; g < Q.params.length; g++) { - var q = Q.params[g]; - k[q] = l.params[g]; - } + throw new Error(x); + } else + for (var M = 0; M < D.params.length; M++) { + var _ = D.params[M]; + E[_] = d.params[M]; + } + } + if (d.name == "MEASURE") { + if (d.args.length != 2) { + var x = "Expecting 2 arguments (qubit and target register) but found " + d.args.length + "."; + if (e) { + e([{ msg: x, line: s + d.line, col: d.col }]); + return; + } else + throw new Error(x); } - if (l.name == "MEASURE") { - if (l.args.length != 2) { - var O = "Expecting 2 arguments (qubit and target register) but found " + l.args.length + "."; - if (t) { - t([{ msg: O, line: e + l.line, col: l.col }]); - return; - } else - throw new Error(O); + } else { + var T = 1; + if (D.numQubits ? T = D.numQubits : D.matrix && D.matrix.length && (T = vi(D.matrix.length)), d.args.length != T) { + var x = "Expecting " + T + " arguments but found " + d.args.length + "."; + if (e) { + e([{ msg: x, line: s + d.line, col: d.col }]); + return; + } else + throw new Error(x); + } + } + for (var I = [], q = {}, M = 0; M < d.args.length; M++) { + var $ = d.args[M]; + if (d.name == "MEASURE") { + var U = $.indexOf("["); + if (U >= 0) { + var k = $.indexOf("]"); + k > U && (cregBit = $.substring(U + 1, k), cregName = $.substring(0, U), q = { + bit: cregBit, + name: cregName + }); + } else { + var L = parseInt($); + if (isNaN(L)) + if (M > 0) + I.push($); + else { + var x = 'Invalid argument "' + $ + '"'; + if (e) { + e([{ msg: x, line: s + d.line, col: d.col }]); + return; + } else + throw new Error(x); + } + I.push(L); } } else { - var y = 1; - if (Q.numQubits ? y = Q.numQubits : Q.matrix && Q.matrix.length && (y = x.log2(Q.matrix.length)), l.args.length != y) { - var O = "Expecting " + y + " arguments but found " + l.args.length + "."; - if (t) { - t([{ msg: O, line: e + l.line, col: l.col }]); + var L = parseInt($); + if (isNaN(L)) { + var x = 'Invalid argument "' + $ + '"'; + if (e) { + e([{ msg: x, line: s + d.line, col: d.col }]); return; } else - throw new Error(O); - } - } - for (var Z = [], G = {}, g = 0; g < l.args.length; g++) { - var E = l.args[g]; - if (l.name == "MEASURE") { - var W = E.indexOf("["); - if (W >= 0) { - var A = E.indexOf("]"); - A > W && (cregBit = E.substring(W + 1, A), cregName = E.substring(0, W), G = { - bit: cregBit, - name: cregName - }); - } else { - var Y = parseInt(E); - if (isNaN(Y)) - if (g > 0) - Z.push(E); - else { - var O = 'Invalid argument "' + E + '"'; - if (t) { - t([{ msg: O, line: e + l.line, col: l.col }]); - return; - } else - throw new Error(O); - } - Z.push(Y); - } - } else { - var Y = parseInt(E); - if (isNaN(Y)) { - var O = 'Invalid argument "' + E + '"'; - if (t) { - t([{ msg: O, line: e + l.line, col: l.col }]); - return; - } else - throw new Error(O); - } - Z.push(Y); + throw new Error(x); } + I.push(L); } - o.appendGate(S.name, Z, { params: k, creg: G }); - } else { - var O = 'Cannot recognize "' + l.name + '".'; - if (t) { - t([{ msg: O, line: e + l.line, col: l.col }]); - return; - } else - throw new Error(O); } + o.appendGate(C.name, I, { params: E, creg: q }); + } else { + var x = 'Cannot recognize "' + d.name + '".'; + if (e) { + e([{ msg: x, line: s + d.line, col: d.col }]); + return; + } else + throw new Error(x); } } - break; - } + } + break; } - t && t([]); - }; - b.prototype.importIonq = function(a, t) { - var r = this, n = a.qubits || 1; - if (r.init(n), !a.circuit) { - var s = "Invalid file format."; - if (t) { - t([{ msg: s, line: -1, col: -1 }]); + } + e && e([]); +}; +ge.prototype.importIonq = function(t, e) { + var r = this, n = t.qubits || 1; + if (r.init(n), !t.circuit) { + var a = "Invalid file format."; + if (e) { + e([{ msg: a, line: -1, col: -1 }]); + return; + } else + throw new Error(a); + } + function s(o) { + if (r.customGates && r.customGates[o]) + return { name: o, customGate: r.customGates[o] }; + for (var p in r.basicGates) { + var u = r.basicGates[p]; + if (u.exportInfo && u.exportInfo.ionq && (u.exportInfo.ionq.name && u.exportInfo.ionq.name == o || u.exportInfo.ionq.names && u.exportInfo.ionq.names.indexOf(o) >= 0)) + return { name: p, gateDef: u }; + } + return null; + } + t.circuit.map(function(o) { + var p = s(o.gate); + if (!p) { + var u = 'Unknown gate "' + o.gate + '"'; + if (e) { + e([{ msg: u, line: -1, col: -1 }]); return; } else - throw new Error(s); + throw new Error(u); } - function e(o) { - if (r.customGates && r.customGates[o]) - return { name: o, customGate: r.customGates[o] }; - for (var u in r.basicGates) { - var p = r.basicGates[u]; - if (p.exportInfo && p.exportInfo.ionq && (p.exportInfo.ionq.name && p.exportInfo.ionq.name == o || p.exportInfo.ionq.names && p.exportInfo.ionq.names.indexOf(o) >= 0)) - return { name: u, gateDef: p }; - } - return null; + var f = []; + typeof o.control < "u" && f.push(o.control), typeof o.controls < "u" && (f = f.concat(o.controls)), typeof o.target < "u" && f.push(o.target), typeof o.targets < "u" && (f = f.concat(o.targets)); + var l = []; + typeof o.rotation < "u" && l.push(o.rotation), typeof o.phase < "u" && l.push(o.phase), typeof o.phases < "u" && (l = l.concat(o.phases)); + var c = p.gateDef ? p.gateDef.matrix ? vi(p.gateDef.matrix.length) : 1 : p.customGate.numQubits || 1, h = p.gateDef ? p.gateDef.params || [] : p.customGate.params || []; + if (f.length != c) { + var u = 'Gate "' + o.gate + '": invalid number of qubits. Expected ' + c + " but got " + f.length + "."; + if (e) { + e([{ msg: u, line: -1, col: -1 }]); + return; + } else + throw new Error(u); } - a.circuit.map(function(o) { - var u = e(o.gate); - if (!u) { - var p = 'Unknown gate "' + o.gate + '"'; - if (t) { - t([{ msg: p, line: -1, col: -1 }]); - return; - } else - throw new Error(p); - } - var v = []; - typeof o.control != "undefined" && v.push(o.control), typeof o.controls != "undefined" && (v = v.concat(o.controls)), typeof o.target != "undefined" && v.push(o.target), typeof o.targets != "undefined" && (v = v.concat(o.targets)); - var f = []; - typeof o.rotation != "undefined" && f.push(o.rotation), typeof o.phase != "undefined" && f.push(o.phase), typeof o.phases != "undefined" && (f = f.concat(o.phases)); - var h = u.gateDef ? u.gateDef.matrix ? x.log2(u.gateDef.matrix.length) : 1 : u.customGate.numQubits || 1, m = u.gateDef ? u.gateDef.params || [] : u.customGate.params || []; - if (v.length != h) { - var p = 'Gate "' + o.gate + '": invalid number of qubits. Expected ' + h + " but got " + v.length + "."; - if (t) { - t([{ msg: p, line: -1, col: -1 }]); - return; - } else - throw new Error(p); - } - if (f.length != m.length) { - var p = 'Gate "' + o.gate + '": invalid number of params. Expected ' + m.length + " but got " + f.length + "."; - if (t) { - t([{ msg: p, line: -1, col: -1 }]); - return; - } else - throw new Error(p); - } - var l = {}; - f.length && (l.params = {}, m.map(function(d, c) { - l.params[d] = o.rotation ? f[c] : 2 * x.pi * f[c]; - })), r.appendGate(u.name, v, l); - }), t && t([]); - }; - b.prototype.exportToIonq = function(a, t) { - var r = this.options && this.options.params ? this.options.params : {}, r = JSON.parse(JSON.stringify(r)); - for (var n in r) - r[n] = x.evaluate(r[n]); - var s = new b(); - s.load(this.save(!0)); - for (var e = { - qubits: s.numQubits, - circuit: [] - }, o = s.numCols(), u = 0; u < o; u++) - for (var p = 0; p < s.numQubits; p++) { - var v = s.getGateAt(u, p); - if (v && v.connector == 0) { - var f = s.getGateDef(v.name); - if (f.exportInfo && f.exportInfo.ionq) - if (f.exportInfo.ionq.name || f.exportInfo.ionq.names) { - var h = { - gate: f.exportInfo.ionq.name || f.exportInfo.ionq.names[0] - }; - f.params && f.params.length && (h[f.exportInfo.ionq.paramsKey] = [], f.params.map(function(m) { - var l = x.evaluate(v.options.params[m], r); - f.exportInfo.ionq.paramsKey != "rotation" && (l = l / (2 * x.pi)), h[f.exportInfo.ionq.paramsKey].push(l); - })), e.circuit.push(h); - } else { - var h = { - gate: 'Export gate "' + v.name + '" to IONQ not supported yet. Comming soon.' - }; - e.circuit.push(h); - } - else { - var h = { - gate: 'Export gate "' + v.name + '" to IONQ not supported yet. Comming soon.' + if (l.length != h.length) { + var u = 'Gate "' + o.gate + '": invalid number of params. Expected ' + h.length + " but got " + l.length + "."; + if (e) { + e([{ msg: u, line: -1, col: -1 }]); + return; + } else + throw new Error(u); + } + var d = {}; + l.length && (d.params = {}, h.map(function(g, v) { + d.params[g] = o.rotation ? l[v] : 2 * Oi * l[v]; + })), r.appendGate(p.name, f, d); + }), e && e([]); +}; +ge.prototype.exportToIonq = function(t, e) { + var r = this.options && this.options.params ? this.options.params : {}, r = JSON.parse(JSON.stringify(r)); + for (var n in r) + r[n] = Br(r[n]); + var a = new ge(); + a.load(this.save(!0)); + for (var s = { + qubits: a.numQubits, + circuit: [] + }, o = a.numCols(), p = 0; p < o; p++) + for (var u = 0; u < a.numQubits; u++) { + var f = a.getGateAt(p, u); + if (f && f.connector == 0) { + var l = a.getGateDef(f.name); + if (l.exportInfo && l.exportInfo.ionq) + if (l.exportInfo.ionq.name || l.exportInfo.ionq.names) { + var c = { + gate: l.exportInfo.ionq.name || l.exportInfo.ionq.names[0] + }; + l.params && l.params.length && (c[l.exportInfo.ionq.paramsKey] = [], l.params.map(function(h) { + var d = Br(f.options.params[h], r); + l.exportInfo.ionq.paramsKey != "rotation" && (d = d / (2 * Oi)), c[l.exportInfo.ionq.paramsKey].push(d); + })), s.circuit.push(c); + } else { + var c = { + gate: 'Export gate "' + f.name + '" to IONQ not supported yet. Comming soon.' }; - e.circuit.push(h); + s.circuit.push(c); } + else { + var c = { + gate: 'Export gate "' + f.name + '" to IONQ not supported yet. Comming soon.' + }; + s.circuit.push(c); } } - return e; - }; - b.prototype.exportQuirk = function(a) { - var t = this, e = null; - function r(D) { - for (var tr = [], H = 0; H < D; H++) - tr.push(H); - return tr; - } - function n(D, tr) { - return tr.indexOf(D) > -1; - } - a = !0; - var s = this.save(a), e = new b(), o = new b(); - e.load(s), o.load(s); - var u = { - cols: [], - gates: [] - }, p = null, v = this.options && this.options.params ? this.options.params : {}, f = new b(), h = {}; - if (!a) - for (var y = o.numCols(), m = y - 1; m >= 0; m--) - for (var l = 0; l < o.numQubits; l++) { - var d = o.gates[l][m]; - if (d && d.connector == 0 && !o.basicGates[d.name]) { - customDecomposedCircuit = o.decomposeGateAt(m, l); - var c = !1; - h[d.name] = { info: [], isDecomposeCustomCircuit: null }; - for (var T = 0; T < customDecomposedCircuit.numCols(); T++) - for (var _ = 0; _ < customDecomposedCircuit.numQubits; _++) { - var S = customDecomposedCircuit.getGateAt(T, _); - if (S) { - var O = customDecomposedCircuit.basicGates[S.name]; - O.exportInfo && !O.exportInfo.quirk && (c = c || !0), S.connector == 0 && h[d.name].info.push({ gateInCustomCircuit: S, column: m }); - } - h[d.name].isDecomposeCustomCircuit = c; + } + return s; +}; +ge.prototype.exportQuirk = function(t) { + var e = this, s = null; + function r(he) { + for (var Ne = [], we = 0; we < he; we++) + Ne.push(we); + return Ne; + } + function n(he, Ne) { + return Ne.indexOf(he) > -1; + } + t = !0; + var a = this.save(t), s = new ge(), o = new ge(); + s.load(a), o.load(a); + var p = { + cols: [], + gates: [] + }, u = null, f = this.options && this.options.params ? this.options.params : {}, l = new ge(), c = {}; + if (!t) + for (var T = o.numCols(), h = T - 1; h >= 0; h--) + for (var d = 0; d < o.numQubits; d++) { + var g = o.gates[d][h]; + if (g && g.connector == 0 && !o.basicGates[g.name]) { + customDecomposedCircuit = o.decomposeGateAt(h, d); + var v = !1; + c[g.name] = { info: [], isDecomposeCustomCircuit: null }; + for (var N = 0; N < customDecomposedCircuit.numCols(); N++) + for (var b = 0; b < customDecomposedCircuit.numQubits; b++) { + var C = customDecomposedCircuit.getGateAt(N, b); + if (C) { + var x = customDecomposedCircuit.basicGates[C.name]; + x.exportInfo && !x.exportInfo.quirk && (v = v || !0), C.connector == 0 && c[g.name].info.push({ gateInCustomCircuit: C, column: h }); } - c && e.gates.map(function(tr, H) { - tr.map(function(U) { - U && U.name == d.name && e.removeGate(U.id); - }); + c[g.name].isDecomposeCustomCircuit = v; + } + v && s.gates.map(function(Ne, we) { + Ne.map(function(Se) { + Se && Se.name == g.name && s.removeGate(Se.id); }); - } - } - gateKeys = Object.keys(h); - for (var k = 0; k < gateKeys.length; k++) - if (gateKey = gateKeys[k], h[gateKey].isDecomposeCustomCircuit) - for (var Q = h[gateKey].info.length - 1; Q >= 0; Q--) { - var R = h[gateKey].info[Q], g = R.gateInCustomCircuit; - e.insertGate(g.name, R.column, g.wires, g.options); + }); } - for (var q = null, j = null, m = 0; m < y; m++) - for (var l = 0; l < e.numQubits; l++) { - var d = e.getGateAt(m, l); - d && (j && j.name != d.name && j.connector != 0 && q == m && (e.removeGate(d.id), e.insertGate(d.name, d.column + 1, d.wires, d.options)), j = d, q = m); } - for (var y = e.numCols(), m = 0; m < y; m++) { - for (var Z = [], G = [], E = !1, l = 0; l < e.numQubits; l++) { - var d = e.getGateAt(m, l); - if (!d || d.name == "measure" || d.name == "reset") - (E || !n(l, G)) && Z.push(1); - else { - var W = e.basicGates[d.name], A = x.max(d.wires), Y = x.min(d.wires), $ = d.wires.slice(), G = r(A); - if (W) { - var C = "", K = !1; - if (E = !0, W.exportInfo && W.exportInfo.quirk && (C = W.exportInfo.quirk.name, K = W.exportInfo.quirk.controlled), W.matrix.length == 4 && (C && d.name == "swap" && d.connector < d.wires.length - 2 && K || d.name != "swap" && d.connector < d.wires.length - 1 && K) && (C = "•"), W.matrix.length == 8 && (C && d.name == "cswap" && d.connector < d.wires.length - 2 && K || d.name != "cswap" && d.connector < d.wires.length - 1 && K) && (C = "•"), C && Z.push(C), !C) { - C = "~" + d.name, W.params.length && d.options.params && W.params.map(function(nr) { - angle = x.round(x.evaluate(d.options.params[nr], v), 7), C += "_" + angle; + gateKeys = Object.keys(c); + for (var E = 0; E < gateKeys.length; E++) + if (gateKey = gateKeys[E], c[gateKey].isDecomposeCustomCircuit) + for (var D = c[gateKey].info.length - 1; D >= 0; D--) { + var A = c[gateKey].info[D], M = A.gateInCustomCircuit; + s.insertGate(M.name, A.column, M.wires, M.options); + } + for (var _ = null, O = null, h = 0; h < T; h++) + for (var d = 0; d < s.numQubits; d++) { + var g = s.getGateAt(h, d); + g && (O && O.name != g.name && O.connector != 0 && _ == h && (s.removeGate(g.id), s.insertGate(g.name, g.column + 1, g.wires, g.options)), O = g, _ = h); + } + for (var T = s.numCols(), h = 0; h < T; h++) { + for (var I = [], q = [], $ = !1, d = 0; d < s.numQubits; d++) { + var g = s.getGateAt(h, d); + if (!g || g.name == "measure" || g.name == "reset") + ($ || !n(d, q)) && I.push(1); + else { + var U = s.basicGates[g.name], k = yo(g.wires), L = fv(g.wires), R = g.wires.slice(), q = r(k); + if (U) { + var G = "", P = !1; + if ($ = !0, U.exportInfo && U.exportInfo.quirk && (G = U.exportInfo.quirk.name, P = U.exportInfo.quirk.controlled), U.matrix.length == 4 && (G && g.name == "swap" && g.connector < g.wires.length - 2 && P || g.name != "swap" && g.connector < g.wires.length - 1 && P) && (G = "•"), U.matrix.length == 8 && (G && g.name == "cswap" && g.connector < g.wires.length - 2 && P || g.name != "cswap" && g.connector < g.wires.length - 1 && P) && (G = "•"), G && I.push(G), !G) { + G = "~" + g.name, U.params.length && g.options.params && U.params.map(function(V) { + angle = kt(Br(g.options.params[V], f), 7), G += "_" + angle; + }); + var W = ""; + W += "{"; + var le = e.getRawGate(U, g.options), Z = R.sort(), H = []; + if (g.wires.map(function(V) { + H.push(Z.indexOf(V)); + }), k - L + 1 > g.wires.length || g.wires[0] > g.wires[1] ? u = s.transformMatrix(k - L + 1, le, H) : u = le, u.map(function(V, re) { + re > 0 && (W += ","), W += "{", V.map(function(pe, X) { + X > 0 && (W += ","), typeof pe != "object" ? pe = Wt(pe).toString() : pe = pe.toString(), W += pe; + }), W += "}"; + }), W += "}", g.connector == 0) { + var te = p.gates.find(function(V) { + return V.id == G; }); - var L = ""; - L += "{"; - var pr = t.getRawGate(W, d.options), z = $.sort(), J = []; - if (d.wires.map(function(nr) { - J.push(z.indexOf(nr)); - }), A - Y + 1 > d.wires.length || d.wires[0] > d.wires[1] ? p = e.transformMatrix(A - Y + 1, pr, J) : p = pr, p.map(function(nr, xr) { - xr > 0 && (L += ","), L += "{", nr.map(function(B, ur) { - ur > 0 && (L += ","), typeof B != "object" ? B = x.complex(B).toString() : B = B.toString(), L += B; - }), L += "}"; - }), L += "}", d.connector == 0) { - var M = u.gates.find(function(nr) { - return nr.id == C; - }); - M || u.gates.push({ - id: C, - matrix: L - }); - for (var V = !1, I = 0; I < Z.length; I++) - Z[I] == C && (V = !0); - V ? Z.push(1) : Z.push(C); - } else if (l < d.wires[0]) { - u.gates.push({ - id: C, - matrix: L - }); - var M = u.gates.find(function(B) { - return B.id == C; - }); - M || u.gates.push({ - id: C, - matrix: L - }); - for (var V = !1, I = 0; I < Z.length; I++) - Z[I] == C && (V = !0); - V ? Z.push(1) : Z.push(C); - } - } - } else { - var F = []; - if (E = !1, d.connector == 0) { - var N = f.gates.find(function(nr) { - return nr && nr[0] && nr[0].name == d.name; + te || p.gates.push({ + id: G, + matrix: W }); - if (!N) { - var X = d.wires[0]; - d.wires.map(function(nr) { - F.push(nr - X); - }), f.registerGate(d.name, t.customGates[d.name]), f.appendGate(d.name, F); - } - Z.push("~" + d.name); - } else - Z.push(1); + for (var be = !1, K = 0; K < I.length; K++) + I[K] == G && (be = !0); + be ? I.push(1) : I.push(G); + } else if (d < g.wires[0]) { + p.gates.push({ + id: G, + matrix: W + }); + var te = p.gates.find(function(pe) { + return pe.id == G; + }); + te || p.gates.push({ + id: G, + matrix: W + }); + for (var be = !1, K = 0; K < I.length; K++) + I[K] == G && (be = !0); + be ? I.push(1) : I.push(G); + } } + } else { + var ce = []; + if ($ = !1, g.connector == 0) { + var de = l.gates.find(function(V) { + return V && V[0] && V[0].name == g.name; + }); + if (!de) { + var ue = g.wires[0]; + g.wires.map(function(V) { + ce.push(V - ue); + }), l.registerGate(g.name, e.customGates[g.name]), l.appendGate(g.name, ce); + } + I.push("~" + g.name); + } else + I.push(1); } } - u.cols.push(Z); } - if (!a) { - var er = e.usedGates(); - er.map(function(D) { - var tr = e.basicGates[D]; - if (!tr) { - var H = t.customGates[D]; - if (H) { - var U = new b(); - for (customCol = 0; customCol < f.numCols(); customCol++) - for (customWire = 0; customWire < f.numGates(); customWire++) { - var nr = f.getGateAt(customCol, customWire); - nr && nr.name == D && (customGateObj = f.decomposeGateAt(customCol, customWire), U.load(customGateObj)); - } - u.gates.push({ - id: "~" + D, - circuit: U.exportQuirk(!0) - }); - } + p.cols.push(I); + } + if (!t) { + var ve = s.usedGates(); + ve.map(function(he) { + var Ne = s.basicGates[he]; + if (!Ne) { + var we = e.customGates[he]; + if (we) { + var Se = new ge(); + for (customCol = 0; customCol < l.numCols(); customCol++) + for (customWire = 0; customWire < l.numGates(); customWire++) { + var V = l.getGateAt(customCol, customWire); + V && V.name == he && (customGateObj = l.decomposeGateAt(customCol, customWire), Se.load(customGateObj)); + } + p.gates.push({ + id: "~" + he, + circuit: Se.exportQuirk(!0) + }); } - }); - } - return u; + } + }); + } + return p; +}; +ge.prototype.exportCirq = function(t, e, r, n, a, s, o) { + var p = { + comment: t, + decompose: e, + versionStr: n, + asJupyter: a, + shots: s, + exportTfq: o }; - b.prototype.exportCirq = function(a, t, r, n, s, e, o) { - var u = { - comment: a, - decompose: t, - versionStr: n, - asJupyter: s, - shots: e, - exportTfq: o - }; - return this.exportToCirq(u, r); - }; - b.prototype.exportQSharp = function(a, t, r, n, s, e, o) { - var u = { - comment: a, - decompose: t, - versionStr: n, - asJupyter: s, - circuitName: e, - indentDepth: o - }; - return this.exportToQSharp(u, r); + return this.exportToCirq(p, r); +}; +ge.prototype.exportQSharp = function(t, e, r, n, a, s, o) { + var p = { + comment: t, + decompose: e, + versionStr: n, + asJupyter: a, + circuitName: s, + indentDepth: o }; - b.prototype.exportQobj = function(a, t, r, n) { - var s = { - circuitName: a, - experimentName: t, - numShots: r - }; - return this.exportToQobj(s, n); + return this.exportToQSharp(p, r); +}; +ge.prototype.exportQobj = function(t, e, r, n) { + var a = { + circuitName: t, + experimentName: e, + numShots: r }; - b.prototype.importQobj = function(a, t) { - var r = this; - if (this.init(), !a || !a.experiments || !a.experiments.length) { - t && t([{ msg: "Invalid input file: no experiments found." }]); - return; - } - var n = a.experiments[0], s = n.header || {}; - this.init(parseInt(s.n_qubits || 0)); - var e = {}; - if (s.creg_sizes && s.creg_sizes.length) - for (var o = 0, u = 0; u < s.creg_sizes.length; u++) { - var p = s.creg_sizes[u]; - if (p.length > 1) { - var v = p[0] + "", f = parseInt(p[1]); - this.createCreg(v, f); - var h = (1 << o + f) - (1 << o); - e[v] = { - mask: h, - offset: o - }, o += f; - } - } - function m(G, E) { - for (var W in e) { - var A = e[W]; - if (A.mask == G) - return { - creg: W, - value: E >> A.offset - }; + return this.exportToQobj(a, n); +}; +ge.prototype.importQobj = function(t, e) { + var r = this; + if (this.init(), !t || !t.experiments || !t.experiments.length) { + e && e([{ msg: "Invalid input file: no experiments found." }]); + return; + } + var n = t.experiments[0], a = n.header || {}; + this.init(parseInt(a.n_qubits || 0)); + var s = {}; + if (a.creg_sizes && a.creg_sizes.length) + for (var o = 0, p = 0; p < a.creg_sizes.length; p++) { + var u = a.creg_sizes[p]; + if (u.length > 1) { + var f = u[0] + "", l = parseInt(u[1]); + this.createCreg(f, l); + var c = (1 << o + l) - (1 << o); + s[f] = { + mask: c, + offset: o + }, o += l; } } - function l(G) { - var E = 0; - for (var W in r.cregs) { - var A = r.cregs[W]; - if (E + A.length > G) - return { - name: W, - bit: G - E - }; - E += A.length; - } - return null; + function h(q, $) { + for (var U in s) { + var k = s[U]; + if (k.mask == q) + return { + creg: U, + value: $ >> k.offset + }; } - n.instructions; - for (var d = {}, c = 0; c < n.instructions.length; c++) { - var T = n.instructions[c]; - switch (T.name) { - case "bfunc": - { - var _ = m(parseInt(T.mask), parseInt(T.val)); - if (!_) { - var S = "Invalid classical condition."; - if (t) { - t([{ msg: S }]); - return; - } else - throw new Error(S); - } - d[T.register] = _; - } - break; - case "measure": - for (var O = 0; O < T.qubits.length; O++) { - var k = T.qubits[O], Q = T.memory[O], R = l(Q); - if (!R) { - var S = "Invalid measurement destination."; - if (t) { - t([{ msg: S }]); - return; - } else - throw new Error(S); - } - var g = { creg: R }; - this.appendGate("measure", k, g); + } + function d(q) { + var $ = 0; + for (var U in r.cregs) { + var k = r.cregs[U]; + if ($ + k.length > q) + return { + name: U, + bit: q - $ + }; + $ += k.length; + } + return null; + } + n.instructions; + for (var g = {}, v = 0; v < n.instructions.length; v++) { + var N = n.instructions[v]; + switch (N.name) { + case "bfunc": + { + var b = h(parseInt(N.mask), parseInt(N.val)); + if (!b) { + var C = "Invalid classical condition."; + if (e) { + e([{ msg: C }]); + return; + } else + throw new Error(C); } - break; - case "barrier": - break; - default: { - var g = { - params: {}, - condition: {} - }, q = T.name; - switch (q) { - case "iden": - q = "id"; - break; + g[N.register] = b; + } + break; + case "measure": + for (var x = 0; x < N.qubits.length; x++) { + var E = N.qubits[x], D = N.memory[x], A = d(D); + if (!A) { + var C = "Invalid measurement destination."; + if (e) { + e([{ msg: C }]); + return; + } else + throw new Error(C); } - var j = this.basicGates[q]; - if (!j) { - var S = 'Unknown gate "' + T.name + '".'; - if (t) { - t([{ msg: S }]); + var M = { creg: A }; + this.appendGate("measure", E, M); + } + break; + case "barrier": + break; + default: { + var M = { + params: {}, + condition: {} + }, _ = N.name; + switch (_) { + case "iden": + _ = "id"; + break; + } + var O = this.basicGates[_]; + if (!O) { + var C = 'Unknown gate "' + N.name + '".'; + if (e) { + e([{ msg: C }]); + return; + } else + throw new Error(C); + } + if (O.params && O.params.length) { + if (!N.params || !N.params.length || N.params.length != O.params.length) { + var C = 'Invalid number of params for gate "' + N.name + '".'; + if (e) { + e([{ msg: C }]); return; } else - throw new Error(S); + throw new Error(C); } - if (j.params && j.params.length) { - if (!T.params || !T.params.length || T.params.length != j.params.length) { - var S = 'Invalid number of params for gate "' + T.name + '".'; - if (t) { - t([{ msg: S }]); - return; - } else - throw new Error(S); - } - for (var y = 0; y < j.params.length; y++) { - var Z = j.params[y]; - g.params[Z] = T.params[y]; - } + for (var T = 0; T < O.params.length; T++) { + var I = O.params[T]; + M.params[I] = N.params[T]; } - if (typeof T.conditional != "undefined") { - var _ = d[T.conditional]; - if (!_) { - var S = "Invalid classical condition."; - if (t) { - t([{ msg: S }]); - return; - } else - throw new Error(S); - } - g.condition = _; + } + if (typeof N.conditional < "u") { + var b = g[N.conditional]; + if (!b) { + var C = "Invalid classical condition."; + if (e) { + e([{ msg: C }]); + return; + } else + throw new Error(C); } - this.appendGate(q, T.qubits, g); + M.condition = b; } + this.appendGate(_, N.qubits, M); } } - t && t([]); + } + e && e([]); +}; +ge.prototype.exportTFQ = function(t, e, r, n, a, s) { + var o = { + comment: t, + decompose: e, + versionStr: n, + asJupyter: a, + shots: s }; - b.prototype.exportTFQ = function(a, t, r, n, s, e) { - var o = { - comment: a, - decompose: t, - versionStr: n, - asJupyter: s, - shots: e - }; - return this.exportToTFQ(o, r); - }; - b.prototype.exportBraket = function(a, t, r, n, s, e, o, u) { - var p = { - comment: a, - decompose: t, - versionStr: n, - asJupyter: s, - shots: e, - hybrid: o, - indentDepth: u - }; - return this.exportToBraket(p, r); - }; - b.prototype.exportSVG = function(a, t) { - var r = t || {}; - return r.embedded = !!a, this.exportToSVG(r); - }; - b.prototype.exportToSVG = function(r) { - var t = this, r = r || {}; - r.embedded = r.embedded || !1, r.cellWidth = r.cellWidth || 40, r.cellHeight = r.cellHeight || 40, r.hSpacing = r.hSpacing || 28, r.vSpacing = r.vSpacing || 34, r.blackboxPaddingX = r.blackboxPaddingX || 2, r.blackboxPaddingY = r.blackboxPaddingY || 2, r.blackboxLineColor = r.blackboxLineColor || "black", r.blackboxSelectedLineColor = r.blackboxSelectedLineColor || "black", r.wireColor = r.wireColor || "black", r.gateLineColor = r.gateLineColor || "black", r.gateSelectedLineColor = r.gateSelectedLineColor || "black", r.cWireColor = r.cWireColor || "silver", r.cWireSelectedColor = r.cWireSelectedColor || "silver", r.cArrowSize = r.cArrowSize || 10, r.hWireColor = r.hWireColor || "black", r.wireWidth = r.wireWidth || 1, r.wireTextHeight = r.wireTextHeight || 8, r.wireTextDown = r.wireTextDown || 16, r.wireMargin = r.wireMargin || 20, r.wireLabelWidth = r.wireLabelWidth || 40, r.dotRadius = r.dotRadius || 5, r.paramTextHeight = r.paramTextHeight || 6, r.selectionPaddingX = r.selectionPaddingX || 4, r.selectionPaddingY = r.selectionPaddingY || 4, r.selectionLineColor = r.selectionLineColor || "#2185D0", r.drawBlochSpheres = r.drawBlochSpheres || !1, typeof r.drawHybrid == "undefined" && (r.drawHybrid = this.options ? !!this.options.hybrid : !1); - var n = function(P) { - var rr = 0; - for (var dr in t.cregs) { - if (dr == P) - return rr; - rr++; - } - return rr; - }, s = function(P) { - return r.wireLabelWidth + (r.cellWidth + r.hSpacing) * P + r.hSpacing; - }, e = function(P) { - return (r.cellHeight + r.vSpacing) * P + r.vSpacing; - }, o = this.numQubits, u = this.numCols(), p = this.cregCount(), v = u; - r.drawBlochSpheres && v++; - var f = v; - r.drawHybrid && (v += 2); - var h = s(v), m = s(f), l = (r.cellHeight + r.vSpacing) * (o + p + (r.drawHybrid ? 1 : 0)) + r.vSpacing; - (r.cellHeight + r.vSpacing) * (o + p) + r.vSpacing; - var d = (r.cellHeight + r.vSpacing) * (o + p) + (r.vSpacing + r.cellHeight / 2); - function c(P, rr, dr, sr) { - var ar = (sr - 90) * Math.PI / 180; - return { - x: P + dr * Math.cos(ar), - y: rr + dr * Math.sin(ar) - }; + return this.exportToTFQ(o, r); +}; +ge.prototype.exportBraket = function(t, e, r, n, a, s, o, p) { + var u = { + comment: t, + decompose: e, + versionStr: n, + asJupyter: a, + shots: s, + hybrid: o, + indentDepth: p + }; + return this.exportToBraket(u, r); +}; +ge.prototype.exportSVG = function(t, e) { + var r = e || {}; + return r.embedded = !!t, this.exportToSVG(r); +}; +ge.prototype.exportToSVG = function(r) { + var e = this, r = r || {}; + r.embedded = r.embedded || !1, r.cellWidth = r.cellWidth || 40, r.cellHeight = r.cellHeight || 40, r.hSpacing = r.hSpacing || 28, r.vSpacing = r.vSpacing || 34, r.blackboxPaddingX = r.blackboxPaddingX || 2, r.blackboxPaddingY = r.blackboxPaddingY || 2, r.blackboxLineColor = r.blackboxLineColor || "black", r.blackboxSelectedLineColor = r.blackboxSelectedLineColor || "black", r.wireColor = r.wireColor || "black", r.gateLineColor = r.gateLineColor || "black", r.gateSelectedLineColor = r.gateSelectedLineColor || "black", r.cWireColor = r.cWireColor || "silver", r.cWireSelectedColor = r.cWireSelectedColor || "silver", r.cArrowSize = r.cArrowSize || 10, r.hWireColor = r.hWireColor || "black", r.wireWidth = r.wireWidth || 1, r.wireTextHeight = r.wireTextHeight || 8, r.wireTextDown = r.wireTextDown || 16, r.wireMargin = r.wireMargin || 20, r.wireLabelWidth = r.wireLabelWidth || 40, r.dotRadius = r.dotRadius || 5, r.paramTextHeight = r.paramTextHeight || 6, r.selectionPaddingX = r.selectionPaddingX || 4, r.selectionPaddingY = r.selectionPaddingY || 4, r.selectionLineColor = r.selectionLineColor || "#2185D0", r.drawBlochSpheres = r.drawBlochSpheres || !1, typeof r.drawHybrid > "u" && (r.drawHybrid = this.options ? !!this.options.hybrid : !1); + var n = function(Ie) { + var B = 0; + for (var ne in e.cregs) { + if (ne == Ie) + return B; + B++; } - function T(P, rr, dr, sr, ar) { - var or = c(P, rr, dr, ar), lr = c(P, rr, dr, sr), ir = "0", fr = [ - "M", - or.x, - or.y, - "A", - dr, - dr, - 0, - ir, - 0, - lr.x, - lr.y - ].join(" "); - return fr; - } - var _ = function(P) { - return (r.cellHeight + r.vSpacing) * P + (r.vSpacing + r.cellHeight / 2); - }, S = function(P) { - return (r.cellHeight + r.vSpacing) * P + r.vSpacing; - }, O = function(P) { - return (r.cellHeight + r.vSpacing) * (o + n(P)) + (r.vSpacing + r.cellHeight / 2); + return B; + }, a = function(Ie) { + return r.wireLabelWidth + (r.cellWidth + r.hSpacing) * Ie + r.hSpacing; + }, s = function(Ie) { + return (r.cellHeight + r.vSpacing) * Ie + r.vSpacing; + }, o = this.numQubits, p = this.numCols(), u = this.cregCount(), f = p; + r.drawBlochSpheres && f++; + var l = f; + r.drawHybrid && (f += 2); + var c = a(f), h = a(l), d = (r.cellHeight + r.vSpacing) * (o + u + (r.drawHybrid ? 1 : 0)) + r.vSpacing; + (r.cellHeight + r.vSpacing) * (o + u) + r.vSpacing; + var g = (r.cellHeight + r.vSpacing) * (o + u) + (r.vSpacing + r.cellHeight / 2); + function v(Ie, B, ne, xe) { + var Te = (xe - 90) * Math.PI / 180; + return { + x: Ie + ne * Math.cos(Te), + y: B + ne * Math.sin(Te) }; - function k(P, rr, dr, sr, ar) { - var or = r.cellWidth, lr = r.cellHeight, ir = ""; - return ir += '', sr && (ir += '' + sr + ""), ir; - } - function Q(P, rr, dr, sr, ar) { - var or = r.cellWidth * 2, lr = r.cellHeight, ir = ""; - return ir += '', sr && (ir += '' + sr + ""), ir; - } - function R(P, rr, dr, sr, ar) { - var or = P + r.cellWidth / 2, lr = rr + r.cellHeight / 2, ir = r.cellWidth * 0.8, fr = r.cellHeight * 0.8, hr = P + (r.cellWidth - ir) / 2, kr = rr + (r.cellHeight - fr) / 2, jr = ""; - return jr += '', sr && (jr += '' + sr + ""), jr; - } - function g(P, rr, dr, sr) { - var ar = P + r.cellWidth / 2, or = rr + r.cellHeight / 2, lr = r.cellWidth * 0.8, ir = r.cellHeight * 0.8, fr = P + (r.cellWidth - lr) / 2, hr = rr + (r.cellHeight - ir) / 2, kr = ""; - return kr += '', kr += '', kr += '', kr; - } - function q(P, rr, dr, sr) { - var ar = r.cellWidth, or = r.cellHeight, lr = P + ar / 2, ir = rr + or / 2, fr = or / 5, hr = ""; - return hr += '', hr += '', hr += '', hr; + } + function N(Ie, B, ne, xe, Te) { + var Pe = v(Ie, B, ne, Te), Ge = v(Ie, B, ne, xe), Ve = "0", ft = [ + "M", + Pe.x, + Pe.y, + "A", + ne, + ne, + 0, + Ve, + 0, + Ge.x, + Ge.y + ].join(" "); + return ft; + } + var b = function(Ie) { + return (r.cellHeight + r.vSpacing) * Ie + (r.vSpacing + r.cellHeight / 2); + }, C = function(Ie) { + return (r.cellHeight + r.vSpacing) * Ie + r.vSpacing; + }, x = function(Ie) { + return (r.cellHeight + r.vSpacing) * (o + n(Ie)) + (r.vSpacing + r.cellHeight / 2); + }; + function E(Ie, B, ne, xe, Te) { + var Pe = r.cellWidth, Ge = r.cellHeight, Ve = ""; + return Ve += '', xe && (Ve += '' + xe + ""), Ve; + } + function D(Ie, B, ne, xe, Te) { + var Pe = r.cellWidth * 2, Ge = r.cellHeight, Ve = ""; + return Ve += '', xe && (Ve += '' + xe + ""), Ve; + } + function A(Ie, B, ne, xe, Te) { + var Pe = Ie + r.cellWidth / 2, Ge = B + r.cellHeight / 2, Ve = r.cellWidth * 0.8, ft = r.cellHeight * 0.8, lt = Ie + (r.cellWidth - Ve) / 2, Nr = B + (r.cellHeight - ft) / 2, Ur = ""; + return Ur += '', xe && (Ur += '' + xe + ""), Ur; + } + function M(Ie, B, ne, xe) { + var Te = Ie + r.cellWidth / 2, Pe = B + r.cellHeight / 2, Ge = r.cellWidth * 0.8, Ve = r.cellHeight * 0.8, ft = Ie + (r.cellWidth - Ge) / 2, lt = B + (r.cellHeight - Ve) / 2, Nr = ""; + return Nr += '', Nr += '', Nr += '', Nr; + } + function _(Ie, B, ne, xe) { + var Te = r.cellWidth, Pe = r.cellHeight, Ge = Ie + Te / 2, Ve = B + Pe / 2, ft = Pe / 5, lt = ""; + return lt += '', lt += '', lt += '', lt; + } + function O(Ie, B, ne, xe) { + var Te = r.cellWidth * 0.4, Pe = r.cellHeight * 0.4, Ge = Ie + (r.cellWidth - Te) / 2, Ve = B + (r.cellHeight - Pe) / 2, ft = ""; + return ft += '', ft += '', ft; + } + function T(Ie, B, ne, xe) { + var Te = r.cellWidth, Pe = r.cellHeight, Ge = Ie + Te / 2, Ve = B + Pe / 2, ft = ""; + return ft += '', ft; + } + function I(Ie, B, ne, xe) { + var Te = r.cellWidth, Pe = r.cellHeight, Ge = Ie + Te / 2, Ve = B + Pe / 2, ft = ""; + return ft += '', ft; + } + function q(Ie, B, ne, xe, Te, Pe, Ge) { + var Ve = ""; + switch (Te != "box" && Pe && (Ve += E(Ie, B, ne, "", Ge)), Te) { + case "box": + Ve += E(Ie, B, ne, xe, Ge); + break; + case "rect": + Ve += D(Ie, B, ne, xe); + break; + case "circle": + Ve += A(Ie, B, ne, xe, Ge); + break; + case "not": + Ve += M(Ie, B, ne, Ge); + break; + case "x": + Ve += O(Ie, B, ne, Ge); + break; + case "dot": + Ve += T(Ie, B, ne, Ge); + break; + case "ndot": + Ve += I(Ie, B, ne, Ge); + break; + case "gauge": + Ve += _(Ie, B, ne, Ge); + break; } - function j(P, rr, dr, sr) { - var ar = r.cellWidth * 0.4, or = r.cellHeight * 0.4, lr = P + (r.cellWidth - ar) / 2, ir = rr + (r.cellHeight - or) / 2, fr = ""; - return fr += '', fr += '', fr; + return Ve; + } + function $(Ie, B, ne) { + var xe = e.basicGates[Ie.name] ? e.basicGates[Ie.name].drawingInfo : null; + xe || (xe = e.customGates[Ie.name] ? e.customGates[Ie.name].drawingInfo : null); + var Te = !1, Pe = r && r.selection && r.selection.indexOf(Ie.id) >= 0; + for (xe || (Ie.wires.length == 1 ? xe = { connectors: ["box"] } : (xe = { connectors: [] }, Te = !0)); xe.connectors.length < Ie.wires.length; ) + xe.connectors.push("box"); + var Ge = Math.min.apply(null, Ie.wires), Ve = Math.max.apply(null, Ie.wires), ft = x(Ve), lt = ""; + if (lt += '', Te) { + var Nr = a(B) - r.blackboxPaddingX, Ur = C(Ge) - r.blackboxPaddingY, An = r.cellWidth + 2 * r.blackboxPaddingX, Or = C(Ve) + r.cellHeight - Ur + r.blackboxPaddingY, Aa = Nr + An / 2; + ft = Ur + Or, lt += '' + (xe.label || Ie.name) + "", lt += ''; } - function y(P, rr, dr, sr) { - var ar = r.cellWidth, or = r.cellHeight, lr = P + ar / 2, ir = rr + or / 2, fr = ""; - return fr += '', fr; + if (Pe) { + var Nr = a(B) - r.selectionPaddingX, Ur = C(Ge) - r.selectionPaddingY, An = r.cellWidth + 2 * r.selectionPaddingX, Or = C(Ve) + r.cellHeight - Ur + r.selectionPaddingY, Aa = Nr + An / 2; + ft = Ur + Or, lt += ''; } - function Z(P, rr, dr, sr) { - var ar = r.cellWidth, or = r.cellHeight, lr = P + ar / 2, ir = rr + or / 2, fr = ""; - return fr += '', fr; + if (Ge != Ve && !Te) { + var fr = a(B) + r.cellWidth / 2, Fr = s(Ge) + r.cellHeight / 2, Dr = s(Ve) + r.cellHeight / 2; + lt += ''; } - function G(P, rr, dr, sr, ar, or, lr) { - var ir = ""; - switch (ar != "box" && or && (ir += k(P, rr, dr, "", lr)), ar) { + var Zt = Math.max.apply(null, Ie.wires); + if (Ie.wires.map(function(pr, Ji) { + switch (xe.connectors[Ji]) { case "box": - ir += k(P, rr, dr, sr, lr); - break; - case "rect": - ir += Q(P, rr, dr, sr); + { + var Kt = a(B), sr = s(pr); + lt = lt + E(Kt, sr, Ie.name, Te ? Cr(Ji, o) : xe.label || Ie.name, Pe), !Te && pr == Ve && (ft = sr + r.cellHeight); + } break; case "circle": - ir += R(P, rr, dr, sr, lr); + { + var Kt = a(B), sr = s(pr); + if (lt = lt + A(Kt, sr, Ie.name, Te ? Cr(Ji, o) : xe.label || Ie.name, Pe), !Te && pr == Ve) { + var Ar = r.cellHeight * 0.8; + ft = sr + Ar + (r.cellHeight - Ar) / 2; + } + } break; case "not": - ir += g(P, rr, dr, lr); + { + var En = a(B), er = s(pr); + if (lt = lt + M(En, er, Ie.name, Pe), !Te && pr == Ve) { + var Ar = r.cellHeight * 0.8; + ft = er + Ar + (r.cellHeight - Ar) / 2; + } + } break; case "x": - ir += j(P, rr, dr, lr); + { + var En = a(B), er = s(pr); + lt = lt + O(En, er, Ie.name, Pe), !Te && pr == Ve && (ft = b(Ve)); + } break; case "dot": - ir += y(P, rr, dr, lr); + { + var En = a(B), er = s(pr); + lt = lt + T(En, er, Ie.name, Pe), !Te && pr == Ve && (ft = b(Ve) + r.dotRadius); + } break; case "ndot": - ir += Z(P, rr, dr, lr); + { + var En = a(B), er = s(pr); + lt = lt + I(En, er, Ie.name, Pe), !Te && pr == Ve && (ft = b(Ve) + r.dotRadius); + } break; case "gauge": - ir += q(P, rr, dr, lr); + { + var Kt = a(B), sr = s(pr); + lt = lt + _(Kt, sr, Ie.name, Pe), !Te && pr == Ve && (ft = sr + r.cellHeight); + } break; } - return ir; - } - function E(P, rr, dr) { - var sr = t.basicGates[P.name] ? t.basicGates[P.name].drawingInfo : null; - sr || (sr = t.customGates[P.name] ? t.customGates[P.name].drawingInfo : null); - var ar = !1, or = r && r.selection && r.selection.indexOf(P.id) >= 0; - for (sr || (P.wires.length == 1 ? sr = { connectors: ["box"] } : (sr = { connectors: [] }, ar = !0)); sr.connectors.length < P.wires.length; ) - sr.connectors.push("box"); - var lr = Math.min.apply(null, P.wires), ir = Math.max.apply(null, P.wires), fr = O(ir), hr = ""; - if (hr += '', ar) { - var kr = s(rr) - r.blackboxPaddingX, jr = S(lr) - r.blackboxPaddingY, Zr = r.cellWidth + 2 * r.blackboxPaddingX, Xr = S(ir) + r.cellHeight - jr + r.blackboxPaddingY, Br = kr + Zr / 2; - fr = jr + Xr, hr += '' + (sr.label || P.name) + "", hr += ''; - } - if (or) { - var kr = s(rr) - r.selectionPaddingX, jr = S(lr) - r.selectionPaddingY, Zr = r.cellWidth + 2 * r.selectionPaddingX, Xr = S(ir) + r.cellHeight - jr + r.selectionPaddingY, Br = kr + Zr / 2; - fr = jr + Xr, hr += ''; - } - if (lr != ir && !ar) { - var Gr = s(rr) + r.cellWidth / 2, Fr = e(lr) + r.cellHeight / 2, Mr = e(ir) + r.cellHeight / 2; - hr += ''; - } - var it = Math.max.apply(null, P.wires); - if (P.wires.map(function(Or, Kr) { - switch (sr.connectors[Kr]) { - case "box": - { - var Wr = s(rr), Er = e(Or); - hr = hr + k(Wr, Er, P.name, ar ? Cr(Kr, o) : sr.label || P.name, or), !ar && Or == ir && (fr = Er + r.cellHeight); - } - break; - case "circle": - { - var Wr = s(rr), Er = e(Or); - if (hr = hr + R(Wr, Er, P.name, ar ? Cr(Kr, o) : sr.label || P.name, or), !ar && Or == ir) { - var Ur = r.cellHeight * 0.8; - fr = Er + Ur + (r.cellHeight - Ur) / 2; - } - } - break; - case "not": - { - var Rr = s(rr), Hr = e(Or); - if (hr = hr + g(Rr, Hr, P.name, or), !ar && Or == ir) { - var Ur = r.cellHeight * 0.8; - fr = Hr + Ur + (r.cellHeight - Ur) / 2; - } - } - break; - case "x": - { - var Rr = s(rr), Hr = e(Or); - hr = hr + j(Rr, Hr, P.name, or), !ar && Or == ir && (fr = _(ir)); - } - break; - case "dot": - { - var Rr = s(rr), Hr = e(Or); - hr = hr + y(Rr, Hr, P.name, or), !ar && Or == ir && (fr = _(ir) + r.dotRadius); - } - break; - case "ndot": - { - var Rr = s(rr), Hr = e(Or); - hr = hr + Z(Rr, Hr, P.name, or), !ar && Or == ir && (fr = _(ir) + r.dotRadius); - } - break; - case "gauge": - { - var Wr = s(rr), Er = e(Or); - hr = hr + q(Wr, Er, P.name, or), !ar && Or == ir && (fr = Er + r.cellHeight); - } - break; + if (Ie.options && Ie.options.params && pr == Zt) { + var Kt = a(B), sr = s(pr), ii = Kt + r.cellWidth / 2, Yr = "", Yi = 0; + for (var bs in Ie.options.params) { + Yr && (Yr += ", "); + var It = Ie.options.params[bs]; + typeof It == "string" && It.match(/^[\+\-]?\d*\.?\d+(?:[Ee][\+\-]?\d+)?$/) && (It = parseFloat(It)), typeof It == "number" && (It = kt(It, 3)), Yr += It, Yi++; } - if (P.options && P.options.params && Or == it) { - var Wr = s(rr), Er = e(Or), at = Wr + r.cellWidth / 2, Nr = "", $r = 0; - for (var et in P.options.params) { - Nr && (Nr += ", "); - var Jr = P.options.params[et]; - typeof Jr == "string" && Jr.match(/^[\+\-]?\d*\.?\d+(?:[Ee][\+\-]?\d+)?$/) && (Jr = parseFloat(Jr)), typeof Jr == "number" && (Jr = x.round(Jr, 3)), Nr += Jr, $r++; - } - Nr.length > 26 && (Nr = "(" + $r + " params)"), hr += '' + Nr + ""; - } - }), P.name == "measure" && P.options && P.options.creg && P.options.creg.name) { - var Gr = s(rr) + r.cellWidth / 2, Fr = fr, Mr = O(P.options.creg.name); - hr += '', hr += '', hr += '', hr += '' + P.options.creg.bit + ""; - } - if (P.options && P.options.condition && P.options.condition.creg) { - var Gr = s(rr) + r.cellWidth / 2, Fr = fr, Mr = O(P.options.condition.creg); - hr += '', hr += '', hr += '== ' + P.options.condition.value + ""; - } - return hr += "", hr; - } - function W(P, rr) { - var dr = "", sr = r.cellWidth + r.hSpacing, ar = r.cellHeight + r.vSpacing, or = s(P) - r.hSpacing, lr = e(rr) - r.vSpacing; - return rr == o && (ar = r.vSpacing), P == u && (sr = r.hSpacing), dr += '', dr; - } - function A(P, rr, dr) { - var sr = "", ar = r.cellWidth, or = r.cellHeight, lr = s(rr), ir = e(dr); - return sr += '', sr; - } - function Y(P, rr, dr, sr) { - var ar = "", or = r.cellWidth, lr = r.cellHeight, ir = s(P), fr = e(rr); - return ar += '', ar += '', ar += '', ar += '
', ar += '', ar += "", ar += "
", ar += "", ar += "", ar; - } - function $(P) { - return P.replace(/&/g, "&").replace(//g, ">").replace(/"/g, """).replace(/'/g, "'"); - } - if (r.gateGallery || r.gateGalleryRaw || r.customGateGallery) { - var C = []; - if (r.gateGallery || r.gateGalleryRaw) { - var K = []; - for (var L in this.basicGates) { - var pr = this.basicGates[L], z = JSON.parse(JSON.stringify(pr.drawingInfo || { connectors: ["box"] })); - if (z.connectors) { - var J = z.label || L, M = z.connectors ? z.connectors[z.connectors.length - 1] : "box"; - r.gateGallery && (M == "x" || M == "dot") && (M = "box"); - var V = J + "|" + M; - if (K.indexOf(V) < 0 && L != "ccx") { - K.push(V); - var I = ""; - r.embedded || (I += '', I += ''), I += '', I = I + G(0, 0, L, J, M, !!r.gateGallery, !1), I += "", r.gateGallery ? C.push(I) : C.push({ name: L, svg: I }); - } + Yr.length > 26 && (Yr = "(" + Yi + " params)"), lt += '' + Yr + ""; + } + }), Ie.name == "measure" && Ie.options && Ie.options.creg && Ie.options.creg.name) { + var fr = a(B) + r.cellWidth / 2, Fr = ft, Dr = x(Ie.options.creg.name); + lt += '', lt += '', lt += '', lt += '' + Ie.options.creg.bit + ""; + } + if (Ie.options && Ie.options.condition && Ie.options.condition.creg) { + var fr = a(B) + r.cellWidth / 2, Fr = ft, Dr = x(Ie.options.condition.creg); + lt += '', lt += '', lt += '== ' + Ie.options.condition.value + ""; + } + return lt += "", lt; + } + function U(Ie, B) { + var ne = "", xe = r.cellWidth + r.hSpacing, Te = r.cellHeight + r.vSpacing, Pe = a(Ie) - r.hSpacing, Ge = s(B) - r.vSpacing; + return B == o && (Te = r.vSpacing), Ie == p && (xe = r.hSpacing), ne += '', ne; + } + function k(Ie, B, ne) { + var xe = "", Te = r.cellWidth, Pe = r.cellHeight, Ge = a(B), Ve = s(ne); + return xe += '', xe; + } + function L(Ie, B, ne, xe) { + var Te = "", Pe = r.cellWidth, Ge = r.cellHeight, Ve = a(Ie), ft = s(B); + return Te += '', Te += '', Te += '', Te += '
', Te += '', Te += "", Te += "
", Te += "", Te += "", Te; + } + function R(Ie) { + return Ie.replace(/&/g, "&").replace(//g, ">").replace(/"/g, """).replace(/'/g, "'"); + } + if (r.gateGallery || r.gateGalleryRaw || r.customGateGallery) { + var G = []; + if (r.gateGallery || r.gateGalleryRaw) { + var P = []; + for (var W in this.basicGates) { + var le = this.basicGates[W], Z = JSON.parse(JSON.stringify(le.drawingInfo || { connectors: ["box"] })); + if (Z.connectors) { + var H = Z.label || W, te = Z.connectors ? Z.connectors[Z.connectors.length - 1] : "box"; + r.gateGallery && (te == "x" || te == "dot") && (te = "box"); + var be = H + "|" + te; + if (P.indexOf(be) < 0 && W != "ccx") { + P.push(be); + var K = ""; + r.embedded || (K += '', K += ''), K += '', K = K + q(0, 0, W, H, te, !!r.gateGallery, !1), K += "", r.gateGallery ? G.push(K) : G.push({ name: W, svg: K }); } } - var F = ""; - r.embedded || (F += '', F += ''), F += '', F = F + G(0, 0, "dot", "dot", "dot", !!r.gateGallery, !1), F += "", r.gateGallery ? C.push(F) : C.push({ name: "dot", svg: F }); - var N = ""; - r.embedded || (N += '', N += ''), N += '', N = N + G(0, 0, "ndot", "ndot", "ndot", !!r.gateGallery, !1), N += "", r.gateGallery ? C.push(N) : C.push({ name: "dot", svg: N }); } - if (r.customGateGallery) - for (var L in this.customGates) { - var I = ""; - r.embedded || (I += '', I += ''), I += '', I = I + G(0, 0, L, L, "rect", !1, !1), I += "", C.push(I); - } - return C; - } else { - var I = ""; - if (r.embedded || (I += '', I += ''), I += '', r.placeholders) - for (var X = 0; X <= u; X++) - for (var er = 0; er <= this.numQubits; er++) - I += W(X, er); - for (var er = 0; er < o; er++) { - var D = _(er), tr = "0"; - r.customGate && (tr = Cr(er, o)), I += '|' + tr + "⟩", I += '', I += 'q' + er + ""; - } - for (var H in this.cregs) { - var D = O(H); - I += '0', I += '', I += '' + H + ""; - } - for (var X = 0; X < u; X++) - for (var er = 0; er < this.numQubits; er++) { - var pr = this.getGateAt(X, er); - pr && pr.connector == 0 && (I += E(pr, X)); - } - for (var X = 0; X < u; X++) - for (var er = 0; er < this.numQubits; er++) { - var pr = this.getGateAt(X, er); - pr && r.placeholders && (I += A(pr, X, er)); - } - if (r.drawBlochSpheres) { - var U = v - 1; - r.drawHybrid && (U -= 2); - for (var er = 0; er < this.numQubits; er++) - I += Y(U, er, "qc-bloch-group", "qc-bloch-canvas"); - } - if (r.drawHybrid) { - var U = v - 2, nr = U, xr = s(nr) + r.blackboxPaddingX, B = S(0) + r.blackboxPaddingY, ur = r.cellWidth - 2 * r.blackboxPaddingX, cr = S(o + p - 1) + r.cellHeight - B - r.blackboxPaddingY, vr = xr + ur / 2, yr = B + cr / 2; - cLinkTopY = B + cr, I += '', I += 'Cost'; - var Sr = s(nr + 1) + r.blackboxPaddingX, qr = Sr + ur / 2; - I += '', I += '', I += '', I += 'Optimizer'; - var Ir = qr, Tr = cLinkTopY, Lr = d; - I += ''; - var _r = 0, br = this.findGlobalParams(); - if (br.globalParams.length) { - _r = s(br.cells[0][0]) + r.cellWidth + r.hSpacing / 2; - for (var mr = 0; mr < br.cells.length; mr++) { - var Qr = br.cells[mr], gr = s(Qr[0]) + r.cellWidth + r.hSpacing / 2, wr = e(Qr[1]) + r.cellHeight + r.vSpacing - r.paramTextHeight / 2, Ar = d, zr = s(Qr[0]) + r.cellWidth, Pr = e(Qr[1]) + r.cellHeight + r.paramTextHeight * 2 + 4; - I += '', I += ''; - } - var D = d; - I += ''; - } else { - _r = s(f + 1); - var D = d; - I += '', I += '(no global params)'; + var ce = ""; + r.embedded || (ce += '', ce += ''), ce += '', ce = ce + q(0, 0, "dot", "dot", "dot", !!r.gateGallery, !1), ce += "", r.gateGallery ? G.push(ce) : G.push({ name: "dot", svg: ce }); + var de = ""; + r.embedded || (de += '', de += ''), de += '', de = de + q(0, 0, "ndot", "ndot", "ndot", !!r.gateGallery, !1), de += "", r.gateGallery ? G.push(de) : G.push({ name: "dot", svg: de }); + } + if (r.customGateGallery) + for (var W in this.customGates) { + var K = ""; + r.embedded || (K += '', K += ''), K += '', K = K + q(0, 0, W, W, "rect", !1, !1), K += "", G.push(K); + } + return G; + } else { + var K = ""; + if (r.embedded || (K += '', K += ''), K += '', r.placeholders) + for (var ue = 0; ue <= p; ue++) + for (var ve = 0; ve <= this.numQubits; ve++) + K += U(ue, ve); + for (var ve = 0; ve < o; ve++) { + var he = b(ve), Ne = "0"; + r.customGate && (Ne = Cr(ve, o)), K += '|' + Ne + "⟩", K += '', K += 'q' + ve + ""; + } + for (var we in this.cregs) { + var he = x(we); + K += '0', K += '', K += '' + we + ""; + } + for (var ue = 0; ue < p; ue++) + for (var ve = 0; ve < this.numQubits; ve++) { + var le = this.getGateAt(ue, ve); + le && le.connector == 0 && (K += $(le, ue)); + } + for (var ue = 0; ue < p; ue++) + for (var ve = 0; ve < this.numQubits; ve++) { + var le = this.getGateAt(ue, ve); + le && r.placeholders && (K += k(le, ue, ve)); + } + if (r.drawBlochSpheres) { + var Se = f - 1; + r.drawHybrid && (Se -= 2); + for (var ve = 0; ve < this.numQubits; ve++) + K += L(Se, ve, "qc-bloch-group", "qc-bloch-canvas"); + } + if (r.drawHybrid) { + var Se = f - 2, V = Se, re = a(V) + r.blackboxPaddingX, pe = C(0) + r.blackboxPaddingY, X = r.cellWidth - 2 * r.blackboxPaddingX, ie = C(o + u - 1) + r.cellHeight - pe - r.blackboxPaddingY, me = re + X / 2, Ae = pe + ie / 2; + cLinkTopY = pe + ie, K += '', K += 'Cost'; + var Me = a(V + 1) + r.blackboxPaddingX, Q = Me + X / 2; + K += '', K += '', K += '', K += 'Optimizer'; + var ee = Q, ye = cLinkTopY, Ee = g; + K += ''; + var Ce = 0, De = this.findGlobalParams(); + if (De.globalParams.length) { + Ce = a(De.cells[0][0]) + r.cellWidth + r.hSpacing / 2; + for (var Oe = 0; Oe < De.cells.length; Oe++) { + var Be = De.cells[Oe], Le = a(Be[0]) + r.cellWidth + r.hSpacing / 2, Re = s(Be[1]) + r.cellHeight + r.vSpacing - r.paramTextHeight / 2, rt = g, Ke = a(Be[0]) + r.cellWidth, Ze = s(Be[1]) + r.cellHeight + r.paramTextHeight * 2 + 4; + K += '', K += ''; } + var he = g; + K += ''; + } else { + Ce = a(l + 1); + var he = g; + K += '', K += '(no global params)'; } - I += ""; } - return I; - }; - b.prototype.exportToQiskit = function(a, t, r, n) { - a = a || {}; - var s = a.comment, e = a.decompose, o = a.versionStr, u = a.providerName, p = a.backendName, v = a.asJupyter, f = a.shots, h = a.hybrid; - typeof h == "undefined" && (h = this.options ? !!this.options.hybrid : !1); - var m = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || "", l = this; - u = u || "Aer", p = p || "", u == "Aer" && (p || (h && m.indexOf("state") >= 0 ? p = "statevector_simulator" : p = "qasm_simulator"), p == "aer_simulator" && (p = "qasm_simulator"), p == "aer_simulator_statevector" && (p = "statevector_simulator")), u == "IONQ" && (p || (p = "ionq_simulator")), f = f || 1024; - var d = new b(); - d.load(this.save(e)); - var c = ""; - if (s) { - var T = (s || "").split(` + K += ""; + } + return K; +}; +ge.prototype.exportToQiskit = function(t, e, r, n) { + t = t || {}; + var a = t.comment, s = t.decompose, o = t.versionStr, p = t.providerName, u = t.backendName, f = t.asJupyter, l = t.shots, c = t.hybrid; + typeof c > "u" && (c = this.options ? !!this.options.hybrid : !1); + var h = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || "", d = this; + p = p || "Aer", u = u || "", p == "Aer" && (u || (c && h.indexOf("state") >= 0 ? u = "statevector_simulator" : u = "qasm_simulator"), u == "aer_simulator" && (u = "qasm_simulator"), u == "aer_simulator_statevector" && (u = "statevector_simulator")), p == "IONQ" && (u || (u = "ionq_simulator")), l = l || 1024; + var g = new ge(); + g.load(this.save(s)); + var v = ""; + if (a) { + var N = (a || "").split(` `); - T.map(function(B) { - B.length >= 1 && B[0] != "#" && (c += "# "), c += B, c += ` + N.map(function(pe) { + pe.length >= 1 && pe[0] != "#" && (v += "# "), v += pe, v += ` `; - }); + }); + } + var b = function(pe, X) { + if (pe.isSymbolNode) { + var ie = ["pi", "sin", "cos", "tan", "asin", "acos", "atan"]; + if (ie.indexOf(pe.name) >= 0) + return "np." + pe.name; + var me = pe.name; + if (X.replaceVars && typeof X.replaceVars[me] < "u") + return me = X.replaceVars[me], d.params.indexOf(me) >= 0 && c ? "params[" + d.params.indexOf(me) + "]" : me; + if (d.params.indexOf(pe.name) >= 0 && c) + return "params[" + d.params.indexOf(pe.name) + "]"; } - var _ = function(B, ur) { - if (B.isSymbolNode) { - var cr = ["pi", "sin", "cos", "tan", "asin", "acos", "atan"]; - if (cr.indexOf(B.name) >= 0) - return "np." + B.name; - var vr = B.name; - if (ur.replaceVars && typeof ur.replaceVars[vr] != "undefined") - return vr = ur.replaceVars[vr], l.params.indexOf(vr) >= 0 && h ? "params[" + l.params.indexOf(vr) + "]" : vr; - if (l.params.indexOf(B.name) >= 0 && h) - return "params[" + l.params.indexOf(B.name) + "]"; - } - }, S = function(B, ur) { - var cr = "", vr = B.split(` -`), yr = -1; - vr.map(function(Ir) { - var Tr = Ir.search(/\S/); - Tr >= 0 && (yr < 0 || Tr < yr) && (yr = Tr); - }), yr < 0 && (yr = 0); - var Sr = ""; - if (yr < ur.length) - for (var qr = 0; qr < ur.length - yr; qr++) - Sr += " "; - return vr.map(function(Ir) { - cr += Sr + Ir + ` + }, C = function(pe, X) { + var ie = "", me = pe.split(` +`), Ae = -1; + me.map(function(ee) { + var ye = ee.search(/\S/); + ye >= 0 && (Ae < 0 || ye < Ae) && (Ae = ye); + }), Ae < 0 && (Ae = 0); + var Me = ""; + if (Ae < X.length) + for (var Q = 0; Q < X.length - Ae; Q++) + Me += " "; + return me.map(function(ee) { + ie += Me + ee + ` `; - }), cr; - }; - if (t) { - if (c += "def " + t + "(qc", d.params && d.params.length) - for (var O = 0; O < d.params.length; O++) - c += ", ", c += d.params[O]; - for (var k = 0; k < d.numQubits; k++) - c += ", ", c += Cr(k, d.numQubits); - c += `): + }), ie; + }; + if (e) { + if (v += "def " + e + "(qc", g.params && g.params.length) + for (var x = 0; x < g.params.length; x++) + v += ", ", v += g.params[x]; + for (var E = 0; E < g.numQubits; E++) + v += ", ", v += Cr(E, g.numQubits); + v += `): `; - } else if (!r) { - var Q = d.usedGates(); - c += `from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister + } else if (!r) { + var D = g.usedGates(); + v += `from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister `; - var R = !1, g = !1; - switch (u) { - case "Aer": - c += "from qiskit import execute, " + u + ` -`, h && m.indexOf("state") >= 0 && p != "statevector_simulator" && (c += `from qiskit_experiments.library import StateTomography + var A = !1, M = !1; + switch (p) { + case "Aer": + v += "from qiskit import execute, " + p + ` +`, c && h.indexOf("state") >= 0 && u != "statevector_simulator" && (v += `from qiskit_experiments.library import StateTomography `); - break; - case "IBMQ": - c += "from qiskit import execute, " + u + ` + break; + case "IBMQ": + v += "from qiskit import execute, " + p + ` from qiskit.providers.ibmq import least_busy -`, h && m.indexOf("state") >= 0 && (c += `from qiskit_experiments.library import StateTomography +`, c && h.indexOf("state") >= 0 && (v += `from qiskit_experiments.library import StateTomography `); - break; - case "IONQ": - R = !0, c += `from qiskit_ionq import IonQProvider -`, h && m.indexOf("state") >= 0 && (c += `from qiskit_experiments.library import StateTomography + break; + case "IONQ": + A = !0, v += `from qiskit_ionq import IonQProvider +`, c && h.indexOf("state") >= 0 && (v += `from qiskit_experiments.library import StateTomography `); - break; - } - (Q.indexOf("ms") >= 0 || Q.indexOf("gpi") >= 0 || Q.indexOf("gpi2") >= 0) && (R = !0, c += `from qiskit_ionq import GPIGate, GPI2Gate, MSGate -`), R && (c += `from qiskit import transpile -`), h && (c += `from scipy.optimize import minimize -`, c += `from collections import Counter -`), c += `import numpy as np -`, c += ` + break; + } + (D.indexOf("ms") >= 0 || D.indexOf("gpi") >= 0 || D.indexOf("gpi2") >= 0) && (A = !0, v += `from qiskit_ionq import GPIGate, GPI2Gate, MSGate +`), A && (v += `from qiskit import transpile +`), c && (v += `from scipy.optimize import minimize +`, v += `from collections import Counter +`), v += `import numpy as np +`, v += ` `; - var q = ""; - switch (u) { - case "Aer": - c += q + "backend = Aer.get_backend('" + p + `') -`, c += ` + var _ = ""; + switch (p) { + case "Aer": + v += _ + "backend = Aer.get_backend('" + u + `') +`, v += ` `; - break; - case "IBMQ": - c += q + `IBMQ.load_account() -`, c += q + `provider = IBMQ.get_provider(hub="ibm-q", group="open", project="main") -`, p ? c += q + 'backend = provider.get_backend("' + p + `") -` : (c += q + `backends = provider.backends() -`, c += q + `backend = least_busy(backends) -`), c += ` + break; + case "IBMQ": + v += _ + `IBMQ.load_account() +`, v += _ + `provider = IBMQ.get_provider(hub="ibm-q", group="open", project="main") +`, u ? v += _ + 'backend = provider.get_backend("' + u + `") +` : (v += _ + `backends = provider.backends() +`, v += _ + `backend = least_busy(backends) +`), v += ` `; - break; - case "IONQ": - { - var j = ["measure", "delay", "barrier", "reset", "snapshot", "ms", "gpi2", "gpi"]; - g = !0, Q.map(function(B) { - j.indexOf(B) < 0 && (g = !1); - }), c += q + `# Requires QISKIT_IONQ_API_TOKEN environment variable to be set -`, c += q + `provider = IonQProvider() -`, c += q + 'backend = provider.get_backend("' + p + '"', g && (c += ', gateset="native"'), c += `) + break; + case "IONQ": + { + var O = ["measure", "delay", "barrier", "reset", "snapshot", "ms", "gpi2", "gpi"]; + M = !0, D.map(function(pe) { + O.indexOf(pe) < 0 && (M = !1); + }), v += _ + `# Requires QISKIT_IONQ_API_TOKEN environment variable to be set +`, v += _ + `provider = IonQProvider() +`, v += _ + 'backend = provider.get_backend("' + u + '"', M && (v += ', gateset="native"'), v += `) -`; - } - break; - } - f && (c += "shots = " + f + ` -`, c += ` -`); - var y = this.options && this.options.params ? this.options.params : {}; - if (this.params.length) { - for (var k = 0; k < this.params.length; k++) { - var Z = this.params[k], G = x.parse(y[Z]), E = G.toString({ handler: _ }); - c += Z + " = " + E + ` `; } - c += ` + break; + } + l && (v += "shots = " + l + ` +`, v += ` +`); + var T = this.options && this.options.params ? this.options.params : {}; + if (this.params.length) { + for (var E = 0; E < this.params.length; E++) { + var I = this.params[E], q = Et(T[I]), $ = q.toString({ handler: b }); + v += I + " = " + $ + ` `; } - h && (c += "tolerance = " + (this.options && this.options.hybridOptions && this.options.hybridOptions.tolerance && this.options.hybridOptions.tolerance || "0.001") + ` -`, c += ` -`), e || Q.map(function(B) { - var ur = d.basicGates[B]; - if (!ur) { - var cr = l.customGates[B]; - if (cr) { - var vr = new b(); - vr.load(cr); - var yr = { - comment: "", - decompose: !0, - versionStr: o, - providerName: "", - backendName: !1, - asJupyter: !1, - shots: !1, - hybrid: null - }; - c += vr.exportToQiskit(yr, B, r, n); - } + v += ` +`; + } + c && (v += "tolerance = " + (this.options && this.options.hybridOptions && this.options.hybridOptions.tolerance && this.options.hybridOptions.tolerance || "0.001") + ` +`, v += ` +`), s || D.map(function(pe) { + var X = g.basicGates[pe]; + if (!X) { + var ie = d.customGates[pe]; + if (ie) { + var me = new ge(); + me.load(ie); + var Ae = { + comment: "", + decompose: !0, + versionStr: o, + providerName: "", + backendName: !1, + asJupyter: !1, + shots: !1, + hybrid: null + }; + v += me.exportToQiskit(Ae, pe, r, n); } - }), h && (q = " ", c += `def objective_function(params): -`), c += q + `qc = QuantumCircuit() -`, c += ` -`, c += q + "q = QuantumRegister(" + d.numQubits + `, 'q') + } + }), c && (_ = " ", v += `def objective_function(params): +`), v += _ + `qc = QuantumCircuit() +`, v += ` +`, v += _ + "q = QuantumRegister(" + g.numQubits + `, 'q') `; - for (var W in this.cregs) - c += q + W + " = ClassicalRegister(" + (this.cregs[W].length || 1) + ", '" + W + `') + for (var U in this.cregs) + v += _ + U + " = ClassicalRegister(" + (this.cregs[U].length || 1) + ", '" + U + `') `; - c += ` -`, c += q + `qc.add_register(q) + v += ` +`, v += _ + `qc.add_register(q) `; - for (var W in this.cregs) - c += q + "qc.add_register(" + W + `) + for (var U in this.cregs) + v += _ + "qc.add_register(" + U + `) `; - c += ` + v += ` `; - } - for (var A = d.numCols(), Y = 0; Y < A; Y++) - for (var $ = 0; $ < this.numQubits; $++) { - var C = d.getGateAt(Y, $), K = null, L = null, pr = null; - if (C && C.connector == 0) { - pr = C.options && C.options.condition && C.options.condition.creg ? C.options.condition : null; - var z = d.getGateDef(C.name); - if (z && z.exportInfo && !g && (z.exportInfo.qiskit && z.exportInfo.qiskit.replacement ? (K = z.exportInfo.qiskit.replacement, K.map(function(B) { - var ur = new b(); - if (C.options && C.options.params) { - var cr = Object.keys(C.options.params), vr = Object.keys(B.params); - cr.map(function(Sr) { - vr.indexOf(Sr) > -1 && (B.params[Sr] = C.options.params[Sr]); - }); - } - ur.addGate(B.name, Y, C.wires, { params: B.params, condition: pr }); - var yr = { - comment: "", - decompose: !1, - versionStr: !1, - providerName: !1, - backendName: !1, - asJupyter: !1, - shots: !1, - hybrid: null - }; - c += S(ur.exportToQiskit(yr, !1, !0, !!t || n), q); - })) : z.exportInfo.qiskit && z.exportInfo.qiskit.equivalent && (L = z.exportInfo.qiskit.equivalent, L.map(function(B) { - var ur = new b(), cr = B.wires.length > 1 ? C.wires : C.wires[B.wires[0]], vr = {}; - if (B.params) { - var yr = {}; - if (C.options && C.options.params) - for (var Sr in C.options.params) { - var qr = x.parse(C.options.params[Sr]), Ir = qr.toString({ handler: _ }); - yr[Sr] = Ir; - } - for (var Tr in B.params) { - var qr = x.parse(B.params[Tr]), Ir = qr.toString({ handler: _, replaceVars: yr }); - vr[Tr] = Ir; + } + for (var k = g.numCols(), L = 0; L < k; L++) + for (var R = 0; R < this.numQubits; R++) { + var G = g.getGateAt(L, R), P = null, W = null, le = null; + if (G && G.connector == 0) { + le = G.options && G.options.condition && G.options.condition.creg ? G.options.condition : null; + var Z = g.getGateDef(G.name); + if (Z && Z.exportInfo && !M && (Z.exportInfo.qiskit && Z.exportInfo.qiskit.replacement ? (P = Z.exportInfo.qiskit.replacement, P.map(function(pe) { + var X = new ge(); + if (G.options && G.options.params) { + var ie = Object.keys(G.options.params), me = Object.keys(pe.params); + ie.map(function(Me) { + me.indexOf(Me) > -1 && (pe.params[Me] = G.options.params[Me]); + }); + } + X.addGate(pe.name, L, G.wires, { params: pe.params, condition: le }); + var Ae = { + comment: "", + decompose: !1, + versionStr: !1, + providerName: !1, + backendName: !1, + asJupyter: !1, + shots: !1, + hybrid: null + }; + v += C(X.exportToQiskit(Ae, !1, !0, !!e || n), _); + })) : Z.exportInfo.qiskit && Z.exportInfo.qiskit.equivalent && (W = Z.exportInfo.qiskit.equivalent, W.map(function(pe) { + var X = new ge(), ie = pe.wires.length > 1 ? G.wires : G.wires[pe.wires[0]], me = {}; + if (pe.params) { + var Ae = {}; + if (G.options && G.options.params) + for (var Me in G.options.params) { + var Q = Et(G.options.params[Me]), ee = Q.toString({ handler: b }); + Ae[Me] = ee; } + for (var ye in pe.params) { + var Q = Et(pe.params[ye]), ee = Q.toString({ handler: b, replaceVars: Ae }); + me[ye] = ee; } - ur.addGate(B.name, Y, cr, { params: vr, condition: pr }); - var Lr = { - comment: "", - decompose: !1, - versionStr: !1, - providerName: !1, - backendName: !1, - asJupyter: !1, - shots: !1, - hybrid: null - }; - c += S(ur.exportToQiskit(Lr, !1, !0, !!t || n), q); - }))), !K && !L && (t || n || h) && (c += " "), !K && !L) { - var J = C.name, M = C.options && C.options.params ? C.options.params : {}; - p == "statevector_simulator" && J == "measure" && h && (c += "# "), this.basicGates[J] && (c += "qc."), z && z.exportInfo && z.exportInfo.qiskit && z.exportInfo.qiskit.name ? J = z.exportInfo.qiskit.name : J = C.name; - var V = !1, I = !1; - J == "ms" && (V = !0, I = !0, J = "MSGate"), J == "gpi" && g && (V = !0, I = !0, J = "GPIGate"), J == "gpi2" && g && (V = !0, I = !0, J = "GPI2Gate"), V && (c += "append("), c += J + "("; - var F = 0; - if (M) { - var z = this.basicGates[C.name]; - if (z || (z = this.customGates[C.name], c += "qc", F++), z) { - var N = z.params || [], X = N.length; - if (X) { - for (var er = 0; er < X; er++) { - F > 0 && (c += ", "); - var D = N[er]; - if (M[D] || M[D].toString()) { - var G = x.parse(M[D]), tr = G.toString({ handler: _ }); - I && (tr = "(" + tr + ") / (2*np.pi)"), c += tr; - } - F++; + } + X.addGate(pe.name, L, ie, { params: me, condition: le }); + var Ee = { + comment: "", + decompose: !1, + versionStr: !1, + providerName: !1, + backendName: !1, + asJupyter: !1, + shots: !1, + hybrid: null + }; + v += C(X.exportToQiskit(Ee, !1, !0, !!e || n), _); + }))), !P && !W && (e || n || c) && (v += " "), !P && !W) { + var H = G.name, te = G.options && G.options.params ? G.options.params : {}; + u == "statevector_simulator" && H == "measure" && c && (v += "# "), this.basicGates[H] && (v += "qc."), Z && Z.exportInfo && Z.exportInfo.qiskit && Z.exportInfo.qiskit.name ? H = Z.exportInfo.qiskit.name : H = G.name; + var be = !1, K = !1; + H == "ms" && (be = !0, K = !0, H = "MSGate"), H == "gpi" && M && (be = !0, K = !0, H = "GPIGate"), H == "gpi2" && M && (be = !0, K = !0, H = "GPI2Gate"), be && (v += "append("), v += H + "("; + var ce = 0; + if (te) { + var Z = this.basicGates[G.name]; + if (Z || (Z = this.customGates[G.name], v += "qc", ce++), Z) { + var de = Z.params || [], ue = de.length; + if (ue) { + for (var ve = 0; ve < ue; ve++) { + ce > 0 && (v += ", "); + var he = de[ve]; + if (te[he] || te[he].toString()) { + var q = Et(te[he]), Ne = q.toString({ handler: b }); + K && (Ne = "(" + Ne + ") / (2*np.pi)"), v += Ne; } - J == "cu" && !M.gamma && (c += ", 0", F++); + ce++; } + H == "cu" && !te.gamma && (v += ", 0", ce++); } } - if (V) { - F && (c += "), "), c += "["; - for (var H = 0; H < C.wires.length; H++) - H > 0 && (c += ", "), t || n ? c += Cr(C.wires[H], d.numQubits) : c += C.wires[H], F++; - c += "]"; - } else - for (var H = 0; H < C.wires.length; H++) - F > 0 && (c += ", "), t || n ? c += Cr(C.wires[H], d.numQubits) : c += "q[" + C.wires[H] + "]", F++; - J == "measure" && C.options && C.options.creg && (F > 0 && (c += ", "), c += C.options.creg.name + "[" + C.options.creg.bit + "]", F++), c += ")", C.options && C.options.condition && C.options.condition.creg && (c += ".c_if(" + C.options.condition.creg + ", " + C.options.condition.value + ")"), c += ` -`; } + if (be) { + ce && (v += "), "), v += "["; + for (var we = 0; we < G.wires.length; we++) + we > 0 && (v += ", "), e || n ? v += Cr(G.wires[we], g.numQubits) : v += G.wires[we], ce++; + v += "]"; + } else + for (var we = 0; we < G.wires.length; we++) + ce > 0 && (v += ", "), e || n ? v += Cr(G.wires[we], g.numQubits) : v += "q[" + G.wires[we] + "]", ce++; + H == "measure" && G.options && G.options.creg && (ce > 0 && (v += ", "), v += G.options.creg.name + "[" + G.options.creg.bit + "]", ce++), v += ")", G.options && G.options.condition && G.options.condition.creg && (v += ".c_if(" + G.options.condition.creg + ", " + G.options.condition.value + ")"), v += ` +`; } } - if (!r) { - if (t) - c += ` + } + if (!r) { + if (e) + v += ` `; - else { - c += ` -`, R && (c += q + `qc = transpile(qc, backend) + else { + v += ` +`, A && (v += _ + `qc = transpile(qc, backend) `); - var q = ""; - if (h && (q = " "), u == "Aer") { - var U = ""; - U += q + "job = execute(qc, backend=backend", f && (U += ", shots=shots"), U += `) -`, U += q + `job_result = job.result() -`, h ? (p == "statevector_simulator" ? (c += U, c += q + `state = job_result.get_statevector(qc).data -`, c += ` -`) : m.indexOf("state") >= 0 ? (c += q + `qst = StateTomography(qc) -`, c += q + `qst_analysis = qst.run(backend).block_for_results() -`, c += q + `density = qst_analysis.analysis_results("state").value -`, c += q + `state = np.diag(density) -`) : (c += U, c += q + `counts = Counter(job_result.get_counts(qc)) -`, c += ` -`), m.trim() || (m = `# CALCULATE COST HERE -cost = 0`), c += S(m, q), c += ` -`, c += q + `return cost -`) : (c += U, c += q + `print(job_result.get_counts(qc)) + var _ = ""; + if (c && (_ = " "), p == "Aer") { + var Se = ""; + Se += _ + "job = execute(qc, backend=backend", l && (Se += ", shots=shots"), Se += `) +`, Se += _ + `job_result = job.result() +`, c ? (u == "statevector_simulator" ? (v += Se, v += _ + `state = job_result.get_statevector(qc).data +`, v += ` +`) : h.indexOf("state") >= 0 ? (v += _ + `qst = StateTomography(qc) +`, v += _ + `qst_analysis = qst.run(backend).block_for_results() +`, v += _ + `density = qst_analysis.analysis_results("state").value +`, v += _ + `state = np.diag(density) +`) : (v += Se, v += _ + `counts = Counter(job_result.get_counts(qc)) +`, v += ` +`), h.trim() || (h = `# CALCULATE COST HERE +cost = 0`), v += C(h, _), v += ` +`, v += _ + `return cost +`) : (v += Se, v += _ + `print(job_result.get_counts(qc)) `); - } - if (u == "IBMQ") { - var U = ""; - U += q + "job = execute(qc, backend=backend", f && (U += ", shots=shots"), U += `) -`, U += q + `job_result = job.result() -`, h ? (m.indexOf("state") >= 0 ? (c += q + `qst = StateTomography(qc) -`, c += q + `qst_analysis = qst.run(backend).block_for_results() -`, c += q + `density = qst_analysis.analysis_results("state").value -`, c += q + `state = np.diag(density) -`, c += ` -`) : (c += U, c += q + `counts = Counter(job_result.get_counts(qc)) -`, c += ` -`), m.trim() || (m = `# CALCULATE COST HERE -cost = 0`), c += S(m, q), c += ` -`, c += q + `return cost -`) : (c += U, c += q + `print(job_result.get_counts(qc)) + } + if (p == "IBMQ") { + var Se = ""; + Se += _ + "job = execute(qc, backend=backend", l && (Se += ", shots=shots"), Se += `) +`, Se += _ + `job_result = job.result() +`, c ? (h.indexOf("state") >= 0 ? (v += _ + `qst = StateTomography(qc) +`, v += _ + `qst_analysis = qst.run(backend).block_for_results() +`, v += _ + `density = qst_analysis.analysis_results("state").value +`, v += _ + `state = np.diag(density) +`, v += ` +`) : (v += Se, v += _ + `counts = Counter(job_result.get_counts(qc)) +`, v += ` +`), h.trim() || (h = `# CALCULATE COST HERE +cost = 0`), v += C(h, _), v += ` +`, v += _ + `return cost +`) : (v += Se, v += _ + `print(job_result.get_counts(qc)) `); - } - if (u == "IONQ") { - var U = ""; - U += q + "job = backend.run(qc", f && (U += ", shots=shots"), U += `) -`, U += q + `job_result = job.result() -`, h ? (m.indexOf("state") >= 0 ? (c += q + `qst = StateTomography(qc) -`, c += q + `qst_analysis = qst.run(backend).block_for_results() -`, c += q + `density = qst_analysis.analysis_results("state").value -`, c += q + `state = np.diag(density) -`) : (c += U, c += q + `counts = Counter(job.get_counts()) -`, c += ` -`), m.trim() || (m = `# CALCULATE COST HERE -cost = 0`), c += S(m, q), c += ` -`, c += q + `return cost -`) : (c += U, c += q + `print(job.get_counts()) + } + if (p == "IONQ") { + var Se = ""; + Se += _ + "job = backend.run(qc", l && (Se += ", shots=shots"), Se += `) +`, Se += _ + `job_result = job.result() +`, c ? (h.indexOf("state") >= 0 ? (v += _ + `qst = StateTomography(qc) +`, v += _ + `qst_analysis = qst.run(backend).block_for_results() +`, v += _ + `density = qst_analysis.analysis_results("state").value +`, v += _ + `state = np.diag(density) +`) : (v += Se, v += _ + `counts = Counter(job.get_counts()) +`, v += ` +`), h.trim() || (h = `# CALCULATE COST HERE +cost = 0`), v += C(h, _), v += ` +`, v += _ + `return cost +`) : (v += Se, v += _ + `print(job.get_counts()) `); - } - if (h) { - var nr = ""; - this.params.map(function(ur, cr) { - cr > 0 && (nr += ", "), nr += ur; - }), c += ` -`, c += "params = np.array([" + nr + `]) -`, c += ` -`, c += 'minimum = minimize(objective_function, params, method="' + (this.options && this.options.hybridOptions && this.options.hybridOptions.optimizer ? this.options.hybridOptions.optimizer : "Powell") + `", tol=tolerance) -`, c += `print("cost:", minimum.fun, "params:", minimum.x) -`; - } } - if (v) { - var xr = { - metadata: { - kernelspec: { - display_name: "Python 3", - language: "python", - name: "python3" - } - }, - nbformat: 4, - nbformat_minor: 0, - cells: [ - { - cell_type: "code", - source: c, - metadata: {}, - outputs: [], - execution_count: null - } - ] - }; - return JSON.stringify(xr); + if (c) { + var V = ""; + this.params.map(function(X, ie) { + ie > 0 && (V += ", "), V += X; + }), v += ` +`, v += "params = np.array([" + V + `]) +`, v += ` +`, v += 'minimum = minimize(objective_function, params, method="' + (this.options && this.options.hybridOptions && this.options.hybridOptions.optimizer ? this.options.hybridOptions.optimizer : "Powell") + `", tol=tolerance) +`, v += `print("cost:", minimum.fun, "params:", minimum.x) +`; } } - return c; - }; - b.prototype.exportToQuEST = function(a, t, r) { - a = a || {}; - var n = a.comment, s = a.decompose, e = this; - r = r || []; - var u = null, o = ["unitary", "controlledUnitary"], u = new b(); - u.load(this.save(s)); - var p = ""; - if (n) { - var v = (n || "").split(` + if (f) { + var re = { + metadata: { + kernelspec: { + display_name: "Python 3", + language: "python", + name: "python3" + } + }, + nbformat: 4, + nbformat_minor: 0, + cells: [ + { + cell_type: "code", + source: v, + metadata: {}, + outputs: [], + execution_count: null + } + ] + }; + return JSON.stringify(re); + } + } + return v; +}; +ge.prototype.exportToQuEST = function(t, e, r) { + t = t || {}; + var n = t.comment, a = t.decompose, s = this; + r = r || []; + var p = null, o = ["unitary", "controlledUnitary"], p = new ge(); + p.load(this.save(a)); + var u = ""; + if (n) { + var f = (n || "").split(` `); - v.map(function(E) { - E.length >= 2 && E[0] != "/" && E[1] != "/" && (p += "// "), p += E, p += ` + f.map(function($) { + $.length >= 2 && $[0] != "/" && $[1] != "/" && (u += "// "), u += $, u += ` `; - }); - } - for (var f = 0; f < this.numQubits; f++) - for (var h = this.gates[f], m = 0; m < h.length; m++) { - var l = h[m]; - if (!(!l || !this.basicGates[l.name]) && this.basicGates[l.name].exportInfo && this.basicGates[l.name].exportInfo.quest) { - var d = this.basicGates[l.name].exportInfo.quest.name; - if (r.includes(l.name)) - continue; - (o.includes(d) || this.basicGates[l.name].exportInfo.quest.func) && r.push(l.name); - } + }); + } + for (var l = 0; l < this.numQubits; l++) + for (var c = this.gates[l], h = 0; h < c.length; h++) { + var d = c[h]; + if (!(!d || !this.basicGates[d.name]) && this.basicGates[d.name].exportInfo && this.basicGates[d.name].exportInfo.quest) { + var g = this.basicGates[d.name].exportInfo.quest.name; + if (r.includes(d.name)) + continue; + (o.includes(g) || this.basicGates[d.name].exportInfo.quest.func) && r.push(d.name); } - if (t) { - p += "Qureg " + t + "(Qureg qubits"; - for (var f = 0; f < u.numQubits; f++) - p += ", const int q", p += f; - if (u.params && u.params.length) - for (var f = 0; f < u.params.length; f++) - p += ", double " + u.params[f]; - p += `) { + } + if (e) { + u += "Qureg " + e + "(Qureg qubits"; + for (var l = 0; l < p.numQubits; l++) + u += ", const int q", u += l; + if (p.params && p.params.length) + for (var l = 0; l < p.params.length; l++) + u += ", double " + p.params[l]; + u += `) { `; - } else { - p += `#include + } else { + u += `#include #include "QuEST.h" -`, p += `#ifndef M_PI +`, u += `#ifndef M_PI #define M_PI 3.14159265 #endif `; - var c = [], T = u.usedGates(); - s || T.map(function(E) { - var W = u.basicGates[E]; - if (!W) { - var A = e.customGates[E]; - if (A) { - var Y = new b(); - Y.load(A); - var $ = { - comment: "", - decompose: !1 - }; - c.push(Y.exportToQuEST($, E, r)); - } + var v = [], N = p.usedGates(); + a || N.map(function($) { + var U = p.basicGates[$]; + if (!U) { + var k = s.customGates[$]; + if (k) { + var L = new ge(); + L.load(k); + var R = { + comment: "", + decompose: !1 + }; + v.push(L.exportToQuEST(R, $, r)); } - }); - for (var f = 0; f < r.length; f++) { - var _ = r[f], d = this.basicGates[_].exportInfo.quest.name; - switch (d) { - case "unitary": - case "controlledUnitary": - { - matrix = this.basicGates[_].exportInfo.quest.matrix; - var S = this.basicGates[_].exportInfo.quest.params; - if (p += "void " + _ + "(Qureg qubits, const int q", d == "controlledUnitary" && (p += "1, const int q2"), S) - for (var m = 0; m < S.length; m++) - p += ", double " + S[m]; - p += `) { -`, p += ` ComplexMatrix2 u; -`, p += " u.r0c0 = (Complex) {.real=" + matrix[0][0][0] + ", .imag= " + matrix[0][0][1] + `}; -`, p += " u.r0c1 = (Complex) {.real=" + matrix[0][1][0] + ", .imag= " + matrix[0][1][1] + `}; -`, p += " u.r1c0 = (Complex) {.real=" + matrix[1][0][0] + ", .imag= " + matrix[1][0][1] + `}; -`, p += " u.r1c1 = (Complex) {.real=" + matrix[1][1][0] + ", .imag= " + matrix[1][1][1] + `}; -`, p += " " + d + "(qubits, q", d == "controlledUnitary" && (p += "1, q2"), p += `, u); + } + }); + for (var l = 0; l < r.length; l++) { + var b = r[l], g = this.basicGates[b].exportInfo.quest.name; + switch (g) { + case "unitary": + case "controlledUnitary": + { + matrix = this.basicGates[b].exportInfo.quest.matrix; + var C = this.basicGates[b].exportInfo.quest.params; + if (u += "void " + b + "(Qureg qubits, const int q", g == "controlledUnitary" && (u += "1, const int q2"), C) + for (var h = 0; h < C.length; h++) + u += ", double " + C[h]; + u += `) { +`, u += ` ComplexMatrix2 u; +`, u += " u.r0c0 = (Complex) {.real=" + matrix[0][0][0] + ", .imag= " + matrix[0][0][1] + `}; +`, u += " u.r0c1 = (Complex) {.real=" + matrix[0][1][0] + ", .imag= " + matrix[0][1][1] + `}; +`, u += " u.r1c0 = (Complex) {.real=" + matrix[1][0][0] + ", .imag= " + matrix[1][0][1] + `}; +`, u += " u.r1c1 = (Complex) {.real=" + matrix[1][1][0] + ", .imag= " + matrix[1][1][1] + `}; +`, u += " " + g + "(qubits, q", g == "controlledUnitary" && (u += "1, q2"), u += `, u); } `; - } - break; - default: - p += this.basicGates[_].exportInfo.quest.func + ` + } + break; + default: + u += this.basicGates[b].exportInfo.quest.func + ` `; - break; - } + break; } - for (var f = 0; f < c.length; f++) - p += c[f]; - p += `int main(int argc, char *argv[]) { -`, p += ` QuESTEnv env = createQuESTEnv(); -`, p += " Qureg qubits = createQureg(" + u.numQubits + `, env); -`, p += " int measured[" + u.numQubits + `]; + } + for (var l = 0; l < v.length; l++) + u += v[l]; + u += `int main(int argc, char *argv[]) { +`, u += ` QuESTEnv env = createQuESTEnv(); +`, u += " Qureg qubits = createQureg(" + p.numQubits + `, env); +`, u += " int measured[" + p.numQubits + `]; `; - } - p += ` + } + u += ` `; - for (var O = u.numCols(), k = 0; k < O; k++) - for (var Q = 0; Q < this.numQubits; Q++) { - var l = u.getGateAt(k, Q); - if (l && l.connector == 0) { - l.options && l.options.condition && l.options.condition.creg && (p += "if(" + l.options.condition.creg + "==" + l.options.condition.value + `) { + for (var x = p.numCols(), E = 0; E < x; E++) + for (var D = 0; D < this.numQubits; D++) { + var d = p.getGateAt(E, D); + if (d && d.connector == 0) { + d.options && d.options.condition && d.options.condition.creg && (u += "if(" + d.options.condition.creg + "==" + d.options.condition.value + `) { `); - var _ = l.name, R = l.options && l.options.params ? l.options.params : {}, g = this.basicGates[_]; - if (_ == "measure") - p += " measured[" + l.wires[0] + "] = measure(qubits, " + l.wires[0]; - else if (g) { - var d = g.exportInfo.quest.name, S = g.exportInfo.quest.params; - o.includes(d) ? p += " " + _ + "(qubits" : p += " " + d + "(qubits"; - for (var q = 0; q < l.wires.length; q++) - t ? p += ", q" + l.wires[q] : p += ", " + l.wires[q]; - if (S) - switch (d) { - case "compactUnitary": - p += ", " + S.alpha, p += ", " + S.beta; - break; - case "phaseShift": - case "controlledPhaseShift": - S.theta && (p += ", " + S.theta); - break; - } - } else { - g = this.customGates[_], p += " qubits = " + _ + "(qubits"; - for (var q = 0; q < l.wires.length; q++) - p += ", " + l.wires[q]; - } - if (R) { - var g = this.basicGates[_]; - if (g || (g = this.customGates[_]), g) { - var j = g.params || [], y = j.length; - if (y) - for (var Z = 0; Z < y; Z++) { - var G = j[Z]; - p += ", " + R[G]; - } + var b = d.name, A = d.options && d.options.params ? d.options.params : {}, M = this.basicGates[b]; + if (b == "measure") + u += " measured[" + d.wires[0] + "] = measure(qubits, " + d.wires[0]; + else if (M) { + var g = M.exportInfo.quest.name, C = M.exportInfo.quest.params; + o.includes(g) ? u += " " + b + "(qubits" : u += " " + g + "(qubits"; + for (var _ = 0; _ < d.wires.length; _++) + e ? u += ", q" + d.wires[_] : u += ", " + d.wires[_]; + if (C) + switch (g) { + case "compactUnitary": + u += ", " + C.alpha, u += ", " + C.beta; + break; + case "phaseShift": + case "controlledPhaseShift": + C.theta && (u += ", " + C.theta); + break; } + } else { + M = this.customGates[b], u += " qubits = " + b + "(qubits"; + for (var _ = 0; _ < d.wires.length; _++) + u += ", " + d.wires[_]; + } + if (A) { + var M = this.basicGates[b]; + if (M || (M = this.customGates[b]), M) { + var O = M.params || [], T = O.length; + if (T) + for (var I = 0; I < T; I++) { + var q = O[I]; + u += ", " + A[q]; + } } - p += `); -`, l.options && l.options.condition && l.options.condition.creg && (p += `} -`); } + u += `); +`, d.options && d.options.condition && d.options.condition.creg && (u += `} +`); } - return t ? p += ` + } + return e ? u += ` return qubits; } -` : (p += ` +` : (u += ` destroyQureg(qubits, env); -`, p += ` destroyQuESTEnv(env); -`, p += ` return 0; -} -`), p; - }; - b.prototype.exportToQASM = function(a, t, r, n) { - a = a || {}; - var s = a.comment, e = a.decompose, o = a.compatibilityMode, u = this, p = this.options && this.options.params ? this.options.params : {}, v = function(C, K) { - if (C.isSymbolNode) { - var L = C.name; - if (K.replaceVars && typeof K.replaceVars[L] != "undefined") { - var L = K.replaceVars[L]; - return !o && u.params.indexOf(L) >= 0 ? "(" + p[L] + ")" : "(" + L + ")"; - } - if (!o && u.params.indexOf(C.name) >= 0) - return p[C.name]; - } - }, f = null, f = new b(); - f.load(this.save(e)); - var h = ""; - if (s) { - var m = (s || "").split(` +`, u += ` destroyQuESTEnv(env); +`, u += ` return 0; +} +`), u; +}; +ge.prototype.exportToQASM = function(t, e, r, n) { + t = t || {}; + var a = t.comment, s = t.decompose, o = t.compatibilityMode, p = this, u = this.options && this.options.params ? this.options.params : {}, f = function(G, P) { + if (G.isSymbolNode) { + var W = G.name; + if (P.replaceVars && typeof P.replaceVars[W] < "u") { + var W = P.replaceVars[W]; + return !o && p.params.indexOf(W) >= 0 ? "(" + u[W] + ")" : "(" + W + ")"; + } + if (!o && p.params.indexOf(G.name) >= 0) + return u[G.name]; + } + }, l = null, l = new ge(); + l.load(this.save(s)); + var c = ""; + if (a) { + var h = (a || "").split(` `); - m.map(function(C) { - C.length >= 2 && C[0] != "/" && C[1] != "/" && (h += "// "), h += C, h += ` + h.map(function(G) { + G.length >= 2 && G[0] != "/" && G[1] != "/" && (c += "// "), c += G, c += ` `; - }); + }); + } + if (e) { + if (c += "gate " + e, l.params && l.params.length) { + c += "("; + for (var d = 0; d < l.params.length; d++) + d > 0 && (c += ", "), c += l.params[d]; + c += ")"; } - if (t) { - if (h += "gate " + t, f.params && f.params.length) { - h += "("; - for (var l = 0; l < f.params.length; l++) - l > 0 && (h += ", "), h += f.params[l]; - h += ")"; - } - for (var d = 0; d < f.numQubits; d++) - d == 0 && (h += " "), d > 0 && (h += ", "), h += Cr(d, f.numQubits); - h += ` + for (var g = 0; g < l.numQubits; g++) + g == 0 && (c += " "), g > 0 && (c += ", "), c += Cr(g, l.numQubits); + c += ` { `; - } else if (!r) { - h += `OPENQASM 2.0; -`, h += `include "qelib1.inc"; -`, h += "qreg q[" + f.numQubits + `]; + } else if (!r) { + c += `OPENQASM 2.0; +`, c += `include "qelib1.inc"; +`, c += "qreg q[" + l.numQubits + `]; `; - for (var c in f.cregs) - h += "creg " + c + "[" + (f.cregs[c].length || 1) + `]; + for (var v in l.cregs) + c += "creg " + v + "[" + (l.cregs[v].length || 1) + `]; `; - var T = f.usedGates(); - e || T.map(function(C) { - var K = f.basicGates[C]; - if (!K) { - var L = u.customGates[C]; - if (L) { - var pr = new b(); - pr.load(L); - var z = { + var N = l.usedGates(); + s || N.map(function(G) { + var P = l.basicGates[G]; + if (!P) { + var W = p.customGates[G]; + if (W) { + var le = new ge(); + le.load(W); + var Z = { + comment: "", + decompose: !1, + compatibilityMode: o + }; + c += le.exportToQASM(Z, G, !1, !1); + } + } + }); + } + for (var b = l.numCols(), C = 0; C < b; C++) + for (var x = 0; x < l.numQubits; x++) { + var E = l.getGateAt(C, x), D = null, A = null; + if (E && E.connector == 0) { + var M = E.name; + if (!o) { + var _ = l.getGateDef(E.name); + _ && _.exportInfo && (_.exportInfo.qasm && _.exportInfo.qasm.name ? M = _.exportInfo.qasm.name : _.exportInfo.qasm && _.exportInfo.qasm.replacement ? (D = _.exportInfo.qasm.replacement, D.map(function(G) { + var P = new ge(); + if (P.cregs = JSON.parse(JSON.stringify(p.cregs)), E.options && E.options.params) { + var W = Object.keys(E.options.params), le = Object.keys(G.params); + W.map(function(te) { + le.indexOf(te) >= 0 && (G.params[te] = E.options.params[te]); + }); + } + var Z = E.options && E.options.condition ? E.options.condition : {}; + P.addGate(G.name, C, E.wires, { params: G.params, condition: Z }); + var H = { comment: "", decompose: !1, compatibilityMode: o }; - h += pr.exportToQASM(z, C, !1, !1); - } - } - }); - } - for (var _ = f.numCols(), S = 0; S < _; S++) - for (var O = 0; O < f.numQubits; O++) { - var k = f.getGateAt(S, O), Q = null, R = null; - if (k && k.connector == 0) { - var g = k.name; - if (!o) { - var q = f.getGateDef(k.name); - q && q.exportInfo && (q.exportInfo.qasm && q.exportInfo.qasm.name ? g = q.exportInfo.qasm.name : q.exportInfo.qasm && q.exportInfo.qasm.replacement ? (Q = q.exportInfo.qasm.replacement, Q.map(function(C) { - var K = new b(); - if (K.cregs = JSON.parse(JSON.stringify(u.cregs)), k.options && k.options.params) { - var L = Object.keys(k.options.params), pr = Object.keys(C.params); - L.map(function(M) { - pr.indexOf(M) >= 0 && (C.params[M] = k.options.params[M]); - }); - } - var z = k.options && k.options.condition ? k.options.condition : {}; - K.addGate(C.name, S, k.wires, { params: C.params, condition: z }); - var J = { - comment: "", - decompose: !1, - compatibilityMode: o - }; - h += K.exportToQASM(J, !1, !0, !!t || n); - })) : q.exportInfo.qasm && q.exportInfo.qasm.equivalent && (R = q.exportInfo.qasm.equivalent, R.map(function(C) { - var K = new b(); - K.cregs = JSON.parse(JSON.stringify(u.cregs)); - var L = C.wires.length > 1 ? k.wires : k.wires[C.wires[0]], pr = {}; - if (C.params) { - var z = {}; - if (k.options && k.options.params) - for (var J in k.options.params) { - var M = x.parse(k.options.params[J]), V = M.toString({ handler: v }); - z[J] = V; - } - for (var I in C.params) { - var M = x.parse(C.params[I]), V = M.toString({ handler: v, replaceVars: z }); - pr[I] = V; + c += P.exportToQASM(H, !1, !0, !!e || n); + })) : _.exportInfo.qasm && _.exportInfo.qasm.equivalent && (A = _.exportInfo.qasm.equivalent, A.map(function(G) { + var P = new ge(); + P.cregs = JSON.parse(JSON.stringify(p.cregs)); + var W = G.wires.length > 1 ? E.wires : E.wires[G.wires[0]], le = {}; + if (G.params) { + var Z = {}; + if (E.options && E.options.params) + for (var H in E.options.params) { + var te = Et(E.options.params[H]), be = te.toString({ handler: f }); + Z[H] = be; } + for (var K in G.params) { + var te = Et(G.params[K]), be = te.toString({ handler: f, replaceVars: Z }); + le[K] = be; } - var F = k.options && k.options.condition ? k.options.condition : {}; - K.addGate(C.name, S, L, { params: pr, condition: F }); - var N = { - comment: "", - decompose: !1, - compatibilityMode: o - }; - h += K.exportToQASM(N, "", !0, !!t || n); - }))); - } - if (!Q && !R && ((t || n) && (h += " "), k.options && k.options.condition && k.options.condition.creg && (h += "if(" + k.options.condition.creg + "==" + k.options.condition.value + ") ")), !Q && !R || o) { - var j = k.name, y = k.options && k.options.params ? k.options.params : {}; - if (h += o ? k.name : g, y) { - var q = f.basicGates[j]; - if (q || (q = f.customGates[j]), q) { - var Z = q.params || [], G = Z.length; - if (G) { - h += " ("; - for (var E = 0; E < G; E++) { - E > 0 && (h += ", "); - var W = Z[E], A = y[W]; - if (!t && !n && !o) { - var Y = x.parse(y[W]); - A = Y.toString({ handler: v }); - } - h += A; + } + var ce = E.options && E.options.condition ? E.options.condition : {}; + P.addGate(G.name, C, W, { params: le, condition: ce }); + var de = { + comment: "", + decompose: !1, + compatibilityMode: o + }; + c += P.exportToQASM(de, "", !0, !!e || n); + }))); + } + if (!D && !A && ((e || n) && (c += " "), E.options && E.options.condition && E.options.condition.creg && (c += "if(" + E.options.condition.creg + "==" + E.options.condition.value + ") ")), !D && !A || o) { + var O = E.name, T = E.options && E.options.params ? E.options.params : {}; + if (c += o ? E.name : M, T) { + var _ = l.basicGates[O]; + if (_ || (_ = l.customGates[O]), _) { + var I = _.params || [], q = I.length; + if (q) { + c += " ("; + for (var $ = 0; $ < q; $++) { + $ > 0 && (c += ", "); + var U = I[$], k = T[U]; + if (!e && !n && !o) { + var L = Et(T[U]); + k = L.toString({ handler: f }); } - h += ")"; + c += k; } + c += ")"; } } - for (var $ = 0; $ < k.wires.length; $++) - $ > 0 && (h += ","), t || n ? h += " " + Cr(k.wires[$], f.numQubits) : h += " q[" + k.wires[$] + "]"; - j == "measure" && k.options && k.options.creg && (h += " -> ", h += k.options.creg.name + "[" + k.options.creg.bit + "]"), h += `; -`; } + for (var R = 0; R < E.wires.length; R++) + R > 0 && (c += ","), e || n ? c += " " + Cr(E.wires[R], l.numQubits) : c += " q[" + E.wires[R] + "]"; + O == "measure" && E.options && E.options.creg && (c += " -> ", c += E.options.creg.name + "[" + E.options.creg.bit + "]"), c += `; +`; } } - return t && (h += `} + } + return e && (c += `} -`), h; - }; - b.prototype.exportToPyquil = function(a, t) { - a = a || {}; - var r = a.comment, n = a.decompose, s = a.versionStr, e = a.lattice, o = a.asQVM, u = a.asJupyter, p = a.shots, v = a.hybrid, f = this, h = parseFloat(s || "2.12"); - isNaN(h) && (h = 2.1), p || (p = 1024), typeof v == "undefined" && (v = this.options ? !!this.options.hybrid : !1); - var m = new b(); - m.load(this.save(n)); - var l = function(_r, br) { - if (_r.isSymbolNode) { - var mr = ["pi", "sin", "cos", "tan", "asin", "acos", "atan"]; - if (mr.indexOf(_r.name) >= 0) - return "np." + _r.name; - if (f.params.indexOf(_r.name) >= 0 && v) - return "params[" + f.params.indexOf(_r.name) + "]"; - } - }, d = function(_r, br) { - var mr = "", Qr = _r.split(` -`), gr = -1; - Qr.map(function(zr) { - var Pr = zr.search(/\S/); - Pr >= 0 && (gr < 0 || Pr < gr) && (gr = Pr); - }), gr < 0 && (gr = 0); - var wr = ""; - if (gr < br.length) - for (var Ar = 0; Ar < br.length - gr; Ar++) - wr += " "; - return Qr.map(function(zr) { - mr += wr + zr + ` +`), c; +}; +ge.prototype.exportToPyquil = function(t, e) { + t = t || {}; + var r = t.comment, n = t.decompose, a = t.versionStr, s = t.lattice, o = t.asQVM, p = t.asJupyter, u = t.shots, f = t.hybrid, l = this, c = parseFloat(a || "2.12"); + isNaN(c) && (c = 2.1), u || (u = 1024), typeof f > "u" && (f = this.options ? !!this.options.hybrid : !1); + var h = new ge(); + h.load(this.save(n)); + var d = function(Ce, De) { + if (Ce.isSymbolNode) { + var Oe = ["pi", "sin", "cos", "tan", "asin", "acos", "atan"]; + if (Oe.indexOf(Ce.name) >= 0) + return "np." + Ce.name; + if (l.params.indexOf(Ce.name) >= 0 && f) + return "params[" + l.params.indexOf(Ce.name) + "]"; + } + }, g = function(Ce, De) { + var Oe = "", Be = Ce.split(` +`), Le = -1; + Be.map(function(Ke) { + var Ze = Ke.search(/\S/); + Ze >= 0 && (Le < 0 || Ze < Le) && (Le = Ze); + }), Le < 0 && (Le = 0); + var Re = ""; + if (Le < De.length) + for (var rt = 0; rt < De.length - Le; rt++) + Re += " "; + return Be.map(function(Ke) { + Oe += Re + Ke + ` `; - }), mr; - }, c = "", T = [], _ = "", S = "", O = "", k = m.usedGates(), Q = m.gotMeasurement(), R = [], g = []; - k.map(function(_r) { - var br = m.basicGates[_r]; - if (br) { - if (br.exportInfo && br.exportInfo.pyquil) { - var mr = br.exportInfo.pyquil; - if (mr.array) { - var Qr = ""; - mr.params && (Qr += ", [", mr.params.map(function(Ar, zr) { - zr > 0 && (Qr += ", "), Qr += "p_" + Ar; - var Pr = "p_" + Ar + " = Parameter('" + Ar + "')"; - T.indexOf(Pr) < 0 && T.push(Pr); - }), Qr += "]"), S += "p.inst(" + mr.name + `_defgate) -`, O += mr.name + "_array = np.array(" + mr.array + `) -`, _ += mr.name + "_defgate = DefGate('" + mr.name + "', " + mr.name + "_array" + Qr + `) -`, _ += mr.name + " = " + mr.name + `_defgate.get_constructor() -`, R.push(mr.name); - } else { - var gr = ""; - if (mr.replacement) { - var wr = m.basicGates[mr.replacement.name]; - wr && wr.exportInfo && (wr.exportInfo.pyquil ? gr = wr.exportInfo.pyquil.name : wr.exportInfo.quil && (gr = wr.exportInfo.quil.name)); - } else - gr = mr.name; - gr && (c && (c += ", "), c += gr); - } - } else if (br.exportInfo && br.exportInfo.quil) { - var mr = br.exportInfo.quil; - if (!mr.defgate) { - var gr = ""; - if (mr.replacement) { - var wr = m.basicGates[mr.replacement.name]; - wr && wr.exportInfo && (wr.exportInfo.pyquil ? gr = wr.exportInfo.pyquil.name : wr.exportInfo.quil && (gr = wr.exportInfo.quil.name)); - } else - gr = mr.name; - gr && (c && (c += ", "), c += gr); - } + }), Oe; + }, v = "", N = [], b = "", C = "", x = "", E = h.usedGates(), D = h.gotMeasurement(), A = [], M = []; + E.map(function(Ce) { + var De = h.basicGates[Ce]; + if (De) { + if (De.exportInfo && De.exportInfo.pyquil) { + var Oe = De.exportInfo.pyquil; + if (Oe.array) { + var Be = ""; + Oe.params && (Be += ", [", Oe.params.map(function(rt, Ke) { + Ke > 0 && (Be += ", "), Be += "p_" + rt; + var Ze = "p_" + rt + " = Parameter('" + rt + "')"; + N.indexOf(Ze) < 0 && N.push(Ze); + }), Be += "]"), C += "p.inst(" + Oe.name + `_defgate) +`, x += Oe.name + "_array = np.array(" + Oe.array + `) +`, b += Oe.name + "_defgate = DefGate('" + Oe.name + "', " + Oe.name + "_array" + Be + `) +`, b += Oe.name + " = " + Oe.name + `_defgate.get_constructor() +`, A.push(Oe.name); + } else { + var Le = ""; + if (Oe.replacement) { + var Re = h.basicGates[Oe.replacement.name]; + Re && Re.exportInfo && (Re.exportInfo.pyquil ? Le = Re.exportInfo.pyquil.name : Re.exportInfo.quil && (Le = Re.exportInfo.quil.name)); + } else + Le = Oe.name; + Le && (v && (v += ", "), v += Le); + } + } else if (De.exportInfo && De.exportInfo.quil) { + var Oe = De.exportInfo.quil; + if (!Oe.defgate) { + var Le = ""; + if (Oe.replacement) { + var Re = h.basicGates[Oe.replacement.name]; + Re && Re.exportInfo && (Re.exportInfo.pyquil ? Le = Re.exportInfo.pyquil.name : Re.exportInfo.quil && (Le = Re.exportInfo.quil.name)); + } else + Le = Oe.name; + Le && (v && (v += ", "), v += Le); } } - }); - var q = m.gotClassicalControl(); - q && (c && (c += ", "), h < 2 ? c += "FALSE, NOT, OR, AND" : c += "MOVE, NOT, IOR, AND"); - var j = ""; - _ && (h < 2.12 ? j = `from pyquil.parameters import Parameter, quil_sin, quil_cos, quil_sqrt, quil_exp, quil_cis -from pyquil.quilbase import DefGate` : j = `from pyquil.quilatom import Parameter, quil_sin, quil_cos, quil_sqrt, quil_exp, quil_cis + } + }); + var _ = h.gotClassicalControl(); + _ && (v && (v += ", "), c < 2 ? v += "FALSE, NOT, OR, AND" : v += "MOVE, NOT, IOR, AND"); + var O = ""; + b && (c < 2.12 ? O = `from pyquil.parameters import Parameter, quil_sin, quil_cos, quil_sqrt, quil_exp, quil_cis +from pyquil.quilbase import DefGate` : O = `from pyquil.quilatom import Parameter, quil_sin, quil_cos, quil_sqrt, quil_exp, quil_cis from pyquil.quilbase import DefGate`); - var y = ""; - if (r) { - var Z = (r || "").split(` + var T = ""; + if (r) { + var I = (r || "").split(` `); - Z.map(function(_r) { - _r.length >= 1 && _r[0] != "#" && (y += "# "), y += _r, y += ` + I.map(function(Ce) { + Ce.length >= 1 && Ce[0] != "#" && (T += "# "), T += Ce, T += ` `; - }); - } - var G = ""; - if (t) { - for (var E = "", W = 0, A = 0; A < m.params.length; A++) - W > 0 && (E += ", "), E += m.params[A], W++; - for (var A = 0; A < m.numQubits; A++) - W > 0 && (E += ", "), E += "q" + A, W++; - y += "def " + t + (E ? "(" + E + ")" : "") + `: -`, G = " "; - } else { - h < 2 ? (y += `from pyquil.api import QVMConnection -`, y += `from pyquil.quil import Program -`) : y += `from pyquil import Program, get_qc -`, c && (y += "from pyquil.gates import " + c + ` -`), j && (y += j + ` -`), y += `from functools import reduce -`, v && (y += `from scipy.optimize import minimize -`, y += `from collections import Counter -`), y += `import numpy as np -`, p && (y += ` -`, y += "shots = " + p + ` + }); + } + var q = ""; + if (e) { + for (var $ = "", U = 0, k = 0; k < h.params.length; k++) + U > 0 && ($ += ", "), $ += h.params[k], U++; + for (var k = 0; k < h.numQubits; k++) + U > 0 && ($ += ", "), $ += "q" + k, U++; + T += "def " + e + ($ ? "(" + $ + ")" : "") + `: +`, q = " "; + } else { + c < 2 ? (T += `from pyquil.api import QVMConnection +`, T += `from pyquil.quil import Program +`) : T += `from pyquil import Program, get_qc +`, v && (T += "from pyquil.gates import " + v + ` +`), O && (T += O + ` +`), T += `from functools import reduce +`, f && (T += `from scipy.optimize import minimize +`, T += `from collections import Counter +`), T += `import numpy as np +`, u && (T += ` +`, T += "shots = " + u + ` `); - var Y = this.options && this.options.params ? this.options.params : {}; - if (this.params.length) { - y += ` -`; - for (var A = 0; A < this.params.length; A++) { - var $ = this.params[A], C = x.parse(Y[$]), K = C.toString({ handler: l }); - y += $ + " = " + K + ` + var L = this.options && this.options.params ? this.options.params : {}; + if (this.params.length) { + T += ` `; - } - y += ` + for (var k = 0; k < this.params.length; k++) { + var R = this.params[k], G = Et(L[R]), P = G.toString({ handler: d }); + T += R + " = " + P + ` `; } - v && (y += "tolerance = " + (this.options && this.options.hybridOptions && this.options.hybridOptions.tolerance && this.options.hybridOptions.tolerance || "0.001") + ` -`, y += ` -`), _ && (T.map(function(br, mr) { - mr == 0 && (y += ` -`), y += br + ` + T += ` `; - }), y += ` -`, y += O + ` -`, y += ` -`, y += _ + ` -`), y += ` + } + f && (T += "tolerance = " + (this.options && this.options.hybridOptions && this.options.hybridOptions.tolerance && this.options.hybridOptions.tolerance || "0.001") + ` +`, T += ` +`), b && (N.map(function(De, Oe) { + Oe == 0 && (T += ` +`), T += De + ` `; - var k = m.usedGates(); - n || k.map(function(br) { - var mr = m.basicGates[br]; - if (!mr) { - var Qr = f.customGates[br]; - if (Qr) { - var gr = new b(); - gr.load(Qr); - var wr = { - comment: "", - decompose: !1, - versionStr: s - }; - y += gr.exportToPyquil(wr, br), g.push(br); - } + }), T += ` +`, T += x + ` +`, T += ` +`, T += b + ` +`), T += ` +`; + var E = h.usedGates(); + n || E.map(function(De) { + var Oe = h.basicGates[De]; + if (!Oe) { + var Be = l.customGates[De]; + if (Be) { + var Le = new ge(); + Le.load(Be); + var Re = { + comment: "", + decompose: !1, + versionStr: a + }; + T += Le.exportToPyquil(Re, De), M.push(De); } - }); - } - if (v && (G += " ", y += `def objective_function(params): -`), h >= 2 && !t) { - o || e ? y += G + `p = Program('PRAGMA INITIAL_REWIRING "PARTIAL"') + } + }); + } + if (f && (q += " ", T += `def objective_function(params): +`), c >= 2 && !e) { + o || s ? T += q + `p = Program('PRAGMA INITIAL_REWIRING "PARTIAL"') -` : y += G + `p = Program() +` : T += q + `p = Program() `; - var L = m.cregTotalBits(); - q && (L += 1), L && (y += G + "ro = p.declare('ro', memory_type='BIT', memory_size=" + L + `) -`, y += ` + var W = h.cregTotalBits(); + _ && (W += 1), W && (T += q + "ro = p.declare('ro', memory_type='BIT', memory_size=" + W + `) +`, T += ` `); - } else - y += G + `p = Program() + } else + T += q + `p = Program() `; - y += S ? G + S + ` + T += C ? q + C + ` ` : ""; - for (var pr = 0; pr < m.numCols(); pr++) - for (var z = 0; z < m.numQubits; z++) { - var J = m.getGateAt(pr, z); - if (J && J.connector == 0) { - var M = m.getGateDef(J.name), V = V = J.options && J.options.params ? J.options.params : {}, I = null; - if (M) { - M.exportInfo && (M.exportInfo.pyquil && M.exportInfo.pyquil.replacement ? (M.exportInfo.pyquil.replacement.params && (V = M.exportInfo.pyquil.replacement.params), M = m.getGateDef(M.exportInfo.pyquil.replacement.name)) : M.exportInfo.quil && M.exportInfo.quil.replacement && (M.exportInfo.quil.replacement.params && (V = M.exportInfo.quil.replacement.params), M = m.getGateDef(M.exportInfo.quil.replacement.name)), M && M.exportInfo && (M.exportInfo.pyquil ? I = M.exportInfo.pyquil : M.exportInfo.quil && (I = M.exportInfo.quil))); - var F = !1; - I ? (F = R.indexOf(I.name) >= 0, g.indexOf(I.name) >= 0) : (F = R.indexOf(J.name) >= 0, g.indexOf(J.name) >= 0); - var N = !1; - if (J.options && J.options.condition && J.options.condition.creg) { - N = !0, y += ` + for (var le = 0; le < h.numCols(); le++) + for (var Z = 0; Z < h.numQubits; Z++) { + var H = h.getGateAt(le, Z); + if (H && H.connector == 0) { + var te = h.getGateDef(H.name), be = be = H.options && H.options.params ? H.options.params : {}, K = null; + if (te) { + te.exportInfo && (te.exportInfo.pyquil && te.exportInfo.pyquil.replacement ? (te.exportInfo.pyquil.replacement.params && (be = te.exportInfo.pyquil.replacement.params), te = h.getGateDef(te.exportInfo.pyquil.replacement.name)) : te.exportInfo.quil && te.exportInfo.quil.replacement && (te.exportInfo.quil.replacement.params && (be = te.exportInfo.quil.replacement.params), te = h.getGateDef(te.exportInfo.quil.replacement.name)), te && te.exportInfo && (te.exportInfo.pyquil ? K = te.exportInfo.pyquil : te.exportInfo.quil && (K = te.exportInfo.quil))); + var ce = !1; + K ? (ce = A.indexOf(K.name) >= 0, M.indexOf(K.name) >= 0) : (ce = A.indexOf(H.name) >= 0, M.indexOf(H.name) >= 0); + var de = !1; + if (H.options && H.options.condition && H.options.condition.creg) { + de = !0, T += ` `; - var X = f.cregTotalBits(), er = J.options.condition, D = er.value || 0, tr = f.cregBase(er.creg); - if (D == 0) { - var H = f.cregs[er.creg].length; - if (h < 2) { - y += G + "p.inst(FALSE(" + X + `)) + var ue = l.cregTotalBits(), ve = H.options.condition, he = ve.value || 0, Ne = l.cregBase(ve.creg); + if (he == 0) { + var we = l.cregs[ve.creg].length; + if (c < 2) { + T += q + "p.inst(FALSE(" + ue + `)) `; - for (var U = 0; U < H; U++) - y += G + "p.inst(OR(" + (U + tr) + ", " + X + `)) + for (var Se = 0; Se < we; Se++) + T += q + "p.inst(OR(" + (Se + Ne) + ", " + ue + `)) `; - y += G + "p.inst(NOT(" + X + `)) -`, y += G + "p.if_then(" + X + ", Program("; - } else { - y += G + "p.inst(MOVE(ro[" + X + `], 0)) + T += q + "p.inst(NOT(" + ue + `)) +`, T += q + "p.if_then(" + ue + ", Program("; + } else { + T += q + "p.inst(MOVE(ro[" + ue + `], 0)) `; - for (var U = 0; U < H; U++) - y += G + "p.inst(IOR(ro[" + X + "], ro[" + (U + tr) + `])) + for (var Se = 0; Se < we; Se++) + T += q + "p.inst(IOR(ro[" + ue + "], ro[" + (Se + Ne) + `])) `; - y += G + "p.inst(NOT(ro[" + X + `])) -`, y += G + "p.if_then(ro[" + X + "], Program("; - } - } else { - var nr = D.toString(2).split("").reverse(), xr = 0, B = 0; - if (nr.map(function(_r, br) { - var mr = parseInt(_r); - nr[br] = mr, mr && (xr++, B = br); - }), xr == 1) - h < 2 ? y += G + "p.if_then(" + (B + tr) + ", Program(" : y += G + "p.if_then(ro[" + (B + tr) + "], Program("; - else if (h < 2) { - y += G + "p.inst(FALSE(" + X + `)) + T += q + "p.inst(NOT(ro[" + ue + `])) +`, T += q + "p.if_then(ro[" + ue + "], Program("; + } + } else { + var V = he.toString(2).split("").reverse(), re = 0, pe = 0; + if (V.map(function(Ce, De) { + var Oe = parseInt(Ce); + V[De] = Oe, Oe && (re++, pe = De); + }), re == 1) + c < 2 ? T += q + "p.if_then(" + (pe + Ne) + ", Program(" : T += q + "p.if_then(ro[" + (pe + Ne) + "], Program("; + else if (c < 2) { + T += q + "p.inst(FALSE(" + ue + `)) `; - var ur = !0; - nr.map(function(_r, br) { - _r && (ur ? (ur = !1, y += G + "p.inst(OR(" + (br + tr) + ", " + X + `)) -`) : y += G + "p.inst(AND(" + (br + tr) + ", " + X + `)) + var X = !0; + V.map(function(Ce, De) { + Ce && (X ? (X = !1, T += q + "p.inst(OR(" + (De + Ne) + ", " + ue + `)) +`) : T += q + "p.inst(AND(" + (De + Ne) + ", " + ue + `)) `); - }), y += G + "p.if_then(" + X + ", Program("; - } else { - y += G + "p.inst(MOVE(ro[" + X + `], 0)) + }), T += q + "p.if_then(" + ue + ", Program("; + } else { + T += q + "p.inst(MOVE(ro[" + ue + `], 0)) `; - var ur = !0; - nr.map(function(br, mr) { - br && (ur ? (ur = !1, y += G + "p.inst(IOR(ro[" + X + "], ro[" + (mr + tr) + `])) -`) : y += G + "p.inst(AND(ro[" + X + "], ro[" + (mr + tr) + `])) + var X = !0; + V.map(function(De, Oe) { + De && (X ? (X = !1, T += q + "p.inst(IOR(ro[" + ue + "], ro[" + (Oe + Ne) + `])) +`) : T += q + "p.inst(AND(ro[" + ue + "], ro[" + (Oe + Ne) + `])) `); - }), y += G + "p.if_then(ro[" + X + "], Program("; - } - } - } else - y += G + "p.inst("; - I ? y += I.name : y += J.name; - var cr = !1; - if (I && I.params && I.params.length) { - var W = 0; - y += "(", cr = !0; - for (var vr = 0; vr < I.params.length; vr++) { - if (W > 0 && (y += ", "), typeof V[I.params[vr]] != "undefined") { - var C = x.parse(V[I.params[vr]]); - y += C.toString({ handler: l }); - } - W++; + }), T += q + "p.if_then(ro[" + ue + "], Program("; } - h < 2 || F ? y += ")" : y += ", "; - } else if (M && M.params && M.params.length) { - var W = 0; - y += "(", cr = !0; - for (var vr = 0; vr < M.params.length; vr++) { - if (W > 0 && (y += ", "), typeof V[M.params[vr]] != "undefined") { - var C = x.parse(V[M.params[vr]]); - y += C.toString({ handler: l }); - } - W++; + } + } else + T += q + "p.inst("; + K ? T += K.name : T += H.name; + var ie = !1; + if (K && K.params && K.params.length) { + var U = 0; + T += "(", ie = !0; + for (var me = 0; me < K.params.length; me++) { + if (U > 0 && (T += ", "), typeof be[K.params[me]] < "u") { + var G = Et(String(be[K.params[me]])); + T += G.toString({ handler: d }); } - h < 2 || F ? y += ")" : y += ", "; + U++; } - if (J.wires.length) { - var W = 0; - (h < 2 || !cr || F) && (y += "(", cr = !0); - for (var yr = 0; yr < J.wires.length; yr++) - W > 0 && (y += ", "), t ? y += "q" + J.wires[yr] : y += "" + J.wires[yr], W++; - if (J.name == "measure" && J.options && J.options.creg) { - var Sr = parseInt(J.options.creg.bit) || 0; - isNaN(Sr) && (Sr = 0), W > 0 && (y += ", "), h < 2 ? y += Sr + f.cregBase(J.options.creg.name) : y += "ro[" + (Sr + f.cregBase(J.options.creg.name)) + "]", W++; + c < 2 || ce ? T += ")" : T += ", "; + } else if (te && te.params && te.params.length) { + var U = 0; + T += "(", ie = !0; + for (var me = 0; me < te.params.length; me++) { + if (U > 0 && (T += ", "), typeof be[te.params[me]] < "u") { + var G = Et(be[te.params[me]]); + T += G.toString({ handler: d }); } - y += ")"; + U++; + } + c < 2 || ce ? T += ")" : T += ", "; + } + if (H.wires.length) { + var U = 0; + (c < 2 || !ie || ce) && (T += "(", ie = !0); + for (var Ae = 0; Ae < H.wires.length; Ae++) + U > 0 && (T += ", "), e ? T += "q" + H.wires[Ae] : T += "" + H.wires[Ae], U++; + if (H.name == "measure" && H.options && H.options.creg) { + var Me = parseInt(H.options.creg.bit) || 0; + isNaN(Me) && (Me = 0), U > 0 && (T += ", "), c < 2 ? T += Me + l.cregBase(H.options.creg.name) : T += "ro[" + (Me + l.cregBase(H.options.creg.name)) + "]", U++; } - y += ")", N && (y += `) -`), y += ` + T += ")"; + } + T += ")", de && (T += `) +`), T += ` `; - } else - y += G + '# Export to pyquil WARNING: unknown gate "' + J.name + '".'; - } + } else + T += q + '# Export to pyquil WARNING: unknown gate "' + H.name + '".'; } - if (t) - y += G + `return p -`, y += ` + } + if (e) + T += q + `return p +`, T += ` `; - else { - if (y += ` -`, h < 2) - if (y += G + `qvm = QVMConnection() -`, v) { - y += ` -`, y += G + `# CALCULATE COST HERE + else { + if (T += ` +`, c < 2) + if (T += q + `qvm = QVMConnection() +`, f) { + T += ` +`, T += q + `# CALCULATE COST HERE `; - var qr = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; - qr.trim() || (qr = "cost = 0"), y += d(qr, G), y += ` -`, y += G + `return cost + var Q = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; + Q.trim() || (Q = "cost = 0"), T += g(Q, q), T += ` +`, T += q + `return cost `; - } else - y += G + `print(qvm.run(p)) + } else + T += q + `print(qvm.run(p)) `; - else { - p && (y += G + `p.wrap_in_numshots_loop(shots) -`, y += ` + else { + u && (T += q + `p.wrap_in_numshots_loop(shots) +`, T += ` `); - var Ir = e; - if (Ir || (h < 2.1 ? Ir = this.numQubits + "q-generic-qvm" : Ir = this.numQubits + "q-qvm"), y += G + "qc = get_qc('" + Ir + "'" + (e ? ", as_qvm=" + (o ? "True" : "False") : "") + `) -`, e) - if (y += G + `ep = qc.compile(p) -`, Q) - if (y += G + `results_list = qc.run(ep).readout_data.get("ro") -`, y += G + `results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1], ""), results_list)) -`, v) { - y += G + `counts = Counter(dict(zip(results,[results.count(i) for i in results]))) -`, y += ` -`, y += G + `# CALCULATE COST HERE -`; - var qr = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; - qr.trim() || (qr = "cost = 0"), y += d(qr, G), y += ` -`, y += G + `return cost + var ee = s; + if (ee || (c < 2.1 ? ee = this.numQubits + "q-generic-qvm" : ee = this.numQubits + "q-qvm"), T += q + "qc = get_qc('" + ee + "'" + (s ? ", as_qvm=" + (o ? "True" : "False") : "") + `) +`, s) + if (T += q + `ep = qc.compile(p) +`, D) + if (T += q + `results_list = qc.run(ep).readout_data.get("ro") +`, T += q + `results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1], ""), results_list)) +`, f) { + T += q + `counts = Counter(dict(zip(results,[results.count(i) for i in results]))) +`, T += ` +`, T += q + `# CALCULATE COST HERE `; - } else - y += G + `counts = dict(zip(results,[results.count(i) for i in results])) -`, y += G + `print(counts) + var Q = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; + Q.trim() || (Q = "cost = 0"), T += g(Q, q), T += ` +`, T += q + `return cost `; - else if (v) { - y += G + `counts = Counter(dict(zip(results,[results.count(i) for i in results]))) -`, y += ` -`, y += G + `# CALCULATE COST HERE + } else + T += q + `counts = dict(zip(results,[results.count(i) for i in results])) +`, T += q + `print(counts) `; - var qr = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; - qr.trim() || (qr = "cost = 0"), y += d(qr, G), y += ` -`, y += G + `return cost + else if (f) { + T += q + `counts = Counter(dict(zip(results,[results.count(i) for i in results]))) +`, T += ` +`, T += q + `# CALCULATE COST HERE `; - } else - y += G + `print(qc.run(ep).readout_data.get("ro")) + var Q = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; + Q.trim() || (Q = "cost = 0"), T += g(Q, q), T += ` +`, T += q + `return cost `; - else if (Q) - if (y += G + `results_list = qc.run(p).readout_data.get("ro") -`, y += G + `results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1], ""), results_list)) -`, v) { - y += G + `counts = Counter(dict(zip(results,[results.count(i) for i in results]))) -`, y += ` -`, y += G + `# CALCULATE COST HERE + } else + T += q + `print(qc.run(ep).readout_data.get("ro")) `; - var qr = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; - qr.trim() || (qr = "cost = 0"), y += d(qr, G), y += ` -`, y += G + `return cost + else if (D) + if (T += q + `results_list = qc.run(p).readout_data.get("ro") +`, T += q + `results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1], ""), results_list)) +`, f) { + T += q + `counts = Counter(dict(zip(results,[results.count(i) for i in results]))) +`, T += ` +`, T += q + `# CALCULATE COST HERE `; - } else - y += G + `counts = dict(zip(results,[results.count(i) for i in results])) -`, y += G + `print(counts) + var Q = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; + Q.trim() || (Q = "cost = 0"), T += g(Q, q), T += ` +`, T += q + `return cost `; - else if (y += G + `results_list = qc.run(p).readout_data.get("ro") -`, y += G + `results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1], ""), results_list)) -`, v) { - y += G + `counts = Counter(dict(zip(results,[results.count(i) for i in results]))) -`, y += ` -`, y += G + `# CALCULATE COST HERE + } else + T += q + `counts = dict(zip(results,[results.count(i) for i in results])) +`, T += q + `print(counts) `; - var qr = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; - qr.trim() || (qr = "cost = 0"), y += d(qr, G), y += ` -`, y += G + `return cost + else if (T += q + `results_list = qc.run(p).readout_data.get("ro") +`, T += q + `results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1], ""), results_list)) +`, f) { + T += q + `counts = Counter(dict(zip(results,[results.count(i) for i in results]))) +`, T += ` +`, T += q + `# CALCULATE COST HERE `; - } else - y += G + `print(results) + var Q = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; + Q.trim() || (Q = "cost = 0"), T += g(Q, q), T += ` +`, T += q + `return cost `; - } - if (v) { - var Tr = ""; - this.params.map(function(_r, br) { - br > 0 && (Tr += ", "), Tr += _r; - }), y += ` -`, y += "params = np.array([" + Tr + `]) -`, y += ` -`, y += 'minimum = minimize(objective_function, params, method="' + (this.options && this.options.hybridOptions && this.options.hybridOptions.optimizer ? this.options.hybridOptions.optimizer : "Powell") + `", tol=tolerance) -`, y += `print("cost:", minimum.fun, "params:", minimum.x) + } else + T += q + `print(results) `; - } } - if (u) { - var Lr = { - metadata: { - kernelspec: { - display_name: "Python 3", - language: "python", - name: "python3" - } - }, - nbformat: 4, - nbformat_minor: 0, - cells: [ - { - cell_type: "code", - source: y, - metadata: {}, - outputs: [], - execution_count: null - } - ] - }; - return JSON.stringify(Lr); + if (f) { + var ye = ""; + this.params.map(function(Ce, De) { + De > 0 && (ye += ", "), ye += Ce; + }), T += ` +`, T += "params = np.array([" + ye + `]) +`, T += ` +`, T += 'minimum = minimize(objective_function, params, method="' + (this.options && this.options.hybridOptions && this.options.hybridOptions.optimizer ? this.options.hybridOptions.optimizer : "Powell") + `", tol=tolerance) +`, T += `print("cost:", minimum.fun, "params:", minimum.x) +`; } - return y; - }; - b.prototype.exportToQuil = function(a, t) { - a = a || {}; - var r = a.comment, n = !0, s = a.versionStr, e = this, o = parseFloat(s || "2.0"); - isNaN(o) && (o = 2); - var u = new b(); - u.load(this.save(n)); - var p = ""; - if (r) { - var v = (r || "").split(` + } + if (p) { + var Ee = { + metadata: { + kernelspec: { + display_name: "Python 3", + language: "python", + name: "python3" + } + }, + nbformat: 4, + nbformat_minor: 0, + cells: [ + { + cell_type: "code", + source: T, + metadata: {}, + outputs: [], + execution_count: null + } + ] + }; + return JSON.stringify(Ee); + } + return T; +}; +ge.prototype.exportToQuil = function(t, e) { + t = t || {}; + var r = t.comment, n = !0, a = t.versionStr, s = this, o = parseFloat(a || "2.0"); + isNaN(o) && (o = 2); + var p = new ge(); + p.load(this.save(n)); + var u = ""; + if (r) { + var f = (r || "").split(` `); - v.map(function(F) { - F.length >= 1 && F[0] != "#" && (p += "# "), p += F, p += ` + f.map(function(ce) { + ce.length >= 1 && ce[0] != "#" && (u += "# "), u += ce, u += ` `; - }); - } - var f = u.usedGates(); - f.map(function(F) { - var N = u.basicGates[F]; - N && N.exportInfo && N.exportInfo.quil && N.exportInfo.quil.defgate && (p += N.exportInfo.quil.defgate, p += ` + }); + } + var l = p.usedGates(); + l.map(function(ce) { + var de = p.basicGates[ce]; + de && de.exportInfo && de.exportInfo.quil && de.exportInfo.quil.defgate && (u += de.exportInfo.quil.defgate, u += ` `); - }); - var h = this.gotClassicalControl(), m = ""; - if (t) { - var l = ""; - if (u.params.length) { - l += "("; - for (var d = 0; d < u.params.length; d++) - d > 0 && (l += ", "), l += "%" + u.params[d]; - l += ")"; - } - for (var c = "", d = 0; d < u.numQubits; d++) - d > 0 && (c += " "), c += "q" + d; - p += "DEFCIRCUIT " + t + (l ? " " + l : "") + (c ? " " + c : "") + `: -`, m = " "; - } else { - if (p += ` + }); + var c = this.gotClassicalControl(), h = ""; + if (e) { + var d = ""; + if (p.params.length) { + d += "("; + for (var g = 0; g < p.params.length; g++) + g > 0 && (d += ", "), d += "%" + p.params[g]; + d += ")"; + } + for (var v = "", g = 0; g < p.numQubits; g++) + g > 0 && (v += " "), v += "q" + g; + u += "DEFCIRCUIT " + e + (d ? " " + d : "") + (v ? " " + v : "") + `: +`, h = " "; + } else { + if (u += ` `, o >= 2) { - var T = u.cregTotalBits(); - h && (T += 1), T && (p += "DECLARE ro BIT[" + T + `] + var N = p.cregTotalBits(); + c && (N += 1), N && (u += "DECLARE ro BIT[" + N + `] `); - } - var _ = this.options && this.options.params ? this.options.params : {}; - if (this.params.length) { - p += ` -`; - for (var d = 0; d < this.params.length; d++) { - var S = this.params[d], O = x.parse(_[S]); - O.toString({ handler: k }), p += "DECLARE " + S + ` REAL[1] + } + var b = this.options && this.options.params ? this.options.params : {}; + if (this.params.length) { + u += ` `; - } - p += ` + for (var g = 0; g < this.params.length; g++) { + var C = this.params[g], x = Et(b[C]); + x.toString({ handler: E }), u += "DECLARE " + C + ` REAL[1] `; } - var f = u.usedGates(); - } - for (var k = function(F, N) { - if (F.isSymbolNode && u.params.indexOf(F.name) >= 0) - return "%" + F.name; - }, Q = 1, R = 0; R < u.numCols(); R++) - for (var g = 0; g < u.numQubits; g++) { - var q = u.getGateAt(R, g); - if (q && q.connector == 0) { - var j = u.getGateDef(q.name), y = q.options && q.options.params ? q.options.params : {}, Z = null; - if (j) { - j.exportInfo && (j.exportInfo.quil && j.exportInfo.quil.replacement && (j.exportInfo.quil.replacement.params && (y = j.exportInfo.quil.replacement.params), j = u.getGateDef(j.exportInfo.quil.replacement.name)), Z = j && j.exportInfo && j.exportInfo.quil ? j.exportInfo.quil : null); - var G = !1; - if (q.options && q.options.condition && q.options.condition.creg) { - G = !0, p += ` + u += ` `; - var E = e.cregTotalBits(), W = q.options.condition, A = W.value || 0, Y = e.cregBase(W.creg); - if (A == 0) { - var $ = e.cregs[W.creg].length; - if (o < 2) { - p += m + "FALSE [" + E + `] + } + var l = p.usedGates(); + } + for (var E = function(ce, de) { + if (ce.isSymbolNode && p.params.indexOf(ce.name) >= 0) + return "%" + ce.name; + }, D = 1, A = 0; A < p.numCols(); A++) + for (var M = 0; M < p.numQubits; M++) { + var _ = p.getGateAt(A, M); + if (_ && _.connector == 0) { + var O = p.getGateDef(_.name), T = _.options && _.options.params ? _.options.params : {}, I = null; + if (O) { + O.exportInfo && (O.exportInfo.quil && O.exportInfo.quil.replacement && (O.exportInfo.quil.replacement.params && (T = O.exportInfo.quil.replacement.params), O = p.getGateDef(O.exportInfo.quil.replacement.name)), I = O && O.exportInfo && O.exportInfo.quil ? O.exportInfo.quil : null); + var q = !1; + if (_.options && _.options.condition && _.options.condition.creg) { + q = !0, u += ` `; - for (var C = 0; C < $; C++) - p += m + "OR [" + (C + Y) + "] [" + E + `] + var $ = s.cregTotalBits(), U = _.options.condition, k = U.value || 0, L = s.cregBase(U.creg); + if (k == 0) { + var R = s.cregs[U.creg].length; + if (o < 2) { + u += h + "FALSE [" + $ + `] `; - p += m + "NOT [" + E + `] -`, p += "JUMP-WHEN @THEN" + Q + " [" + E + `] -`, p += "JUMP @END" + (Q + 1) + ` -`, p += "LABEL @THEN" + Q + ` + for (var G = 0; G < R; G++) + u += h + "OR [" + (G + L) + "] [" + $ + `] `; - } else { - p += m + "FALSE ro[" + E + `] + u += h + "NOT [" + $ + `] +`, u += "JUMP-WHEN @THEN" + D + " [" + $ + `] +`, u += "JUMP @END" + (D + 1) + ` +`, u += "LABEL @THEN" + D + ` `; - for (var C = 0; C < $; C++) - p += m + "OR ro[" + (C + Y) + "] ro[" + E + `] + } else { + u += h + "FALSE ro[" + $ + `] `; - p += m + "NOT ro[" + E + `] -`, p += "JUMP-WHEN @THEN" + Q + " ro[" + E + `] -`, p += "JUMP @END" + (Q + 1) + ` -`, p += "LABEL @THEN" + Q + ` + for (var G = 0; G < R; G++) + u += h + "OR ro[" + (G + L) + "] ro[" + $ + `] `; - } - } else { - var K = A.toString(2).split("").reverse(), L = 0, pr = 0; - if (K.map(function(F, N) { - var X = parseInt(F); - K[N] = X, X && (L++, pr = N); - }), L == 1) - o < 2 ? (p += "JUMP-WHEN @THEN" + Q + " [" + (pr + Y) + `] -`, p += "JUMP @END" + (Q + 1) + ` -`, p += "LABEL @THEN" + Q + ` -`) : (p += "JUMP-WHEN @THEN" + Q + " ro[" + (pr + Y) + `] -`, p += "JUMP @END" + (Q + 1) + ` -`, p += "LABEL @THEN" + Q + ` + u += h + "NOT ro[" + $ + `] +`, u += "JUMP-WHEN @THEN" + D + " ro[" + $ + `] +`, u += "JUMP @END" + (D + 1) + ` +`, u += "LABEL @THEN" + D + ` +`; + } + } else { + var P = k.toString(2).split("").reverse(), W = 0, le = 0; + if (P.map(function(ce, de) { + var ue = parseInt(ce); + P[de] = ue, ue && (W++, le = de); + }), W == 1) + o < 2 ? (u += "JUMP-WHEN @THEN" + D + " [" + (le + L) + `] +`, u += "JUMP @END" + (D + 1) + ` +`, u += "LABEL @THEN" + D + ` +`) : (u += "JUMP-WHEN @THEN" + D + " ro[" + (le + L) + `] +`, u += "JUMP @END" + (D + 1) + ` +`, u += "LABEL @THEN" + D + ` `); - else if (o < 2) { - p += m + "FALSE [" + E + `] + else if (o < 2) { + u += h + "FALSE [" + $ + `] `; - var z = !0; - K.map(function(F, N) { - F && (z ? (z = !1, p += m + "OR [" + (N + Y) + "] [" + E + `] -`) : p += m + "AND [" + (N + Y) + "] [" + E + `] + var Z = !0; + P.map(function(ce, de) { + ce && (Z ? (Z = !1, u += h + "OR [" + (de + L) + "] [" + $ + `] +`) : u += h + "AND [" + (de + L) + "] [" + $ + `] `); - }), p += "JUMP-WHEN @THEN" + Q + " [" + E + `] -`, p += "JUMP @END" + (Q + 1) + ` -`, p += "LABEL @THEN" + Q + ` + }), u += "JUMP-WHEN @THEN" + D + " [" + $ + `] +`, u += "JUMP @END" + (D + 1) + ` +`, u += "LABEL @THEN" + D + ` `; - } else { - p += m + "FALSE ro[" + E + `] + } else { + u += h + "FALSE ro[" + $ + `] `; - var z = !0; - K.map(function(N, X) { - N && (z ? (z = !1, p += m + "OR ro[" + (X + Y) + "] ro[" + E + `] -`) : p += m + "AND ro[" + (X + Y) + "] ro[" + E + `] + var Z = !0; + P.map(function(de, ue) { + de && (Z ? (Z = !1, u += h + "OR ro[" + (ue + L) + "] ro[" + $ + `] +`) : u += h + "AND ro[" + (ue + L) + "] ro[" + $ + `] `); - }), p += "JUMP-WHEN @THEN" + Q + " ro[" + E + `] -`, p += "JUMP @END" + (Q + 1) + ` -`, p += "LABEL @THEN" + Q + ` + }), u += "JUMP-WHEN @THEN" + D + " ro[" + $ + `] +`, u += "JUMP @END" + (D + 1) + ` +`, u += "LABEL @THEN" + D + ` `; - } } } - Z ? p += m + Z.name : p += m + q.name, p += " "; - var J = 0; - if (Z && Z.params && Z.params.length) { - p += "("; - for (var M = 0; M < Z.params.length; M++) { - if (J > 0 && (p += ", "), typeof y[Z.params[M]] != "undefined") { - var O = x.parse(y[Z.params[M]]); - p += O.toString({ handler: k }); - } - J++; - } - p += ")"; - } else if (j && j.params && j.params.length) { - p += "("; - for (var M = 0; M < j.params.length; M++) { - if (J > 0 && (p += ", "), typeof y[j.params[M]] != "undefined") { - var O = x.parse(y[j.params[M]]); - p += O.toString({ handler: k }); - } - J++; + } + I ? u += h + I.name : u += h + _.name, u += " "; + var H = 0; + if (I && I.params && I.params.length) { + u += "("; + for (var te = 0; te < I.params.length; te++) { + if (H > 0 && (u += ", "), typeof T[I.params[te]] < "u") { + var x = Et(String(T[I.params[te]])); + u += x.toString({ handler: E }); } - p += ")"; - } - for (var V = 0; V < q.wires.length; V++) - J > 0 && (p += " "), t ? p += "q" + q.wires[V] : p += "" + q.wires[V], J++; - if (q.name == "measure" && q.options && q.options.creg) { - var I = parseInt(q.options.creg.bit) || 0; - isNaN(I) && (I = 0), J > 0 && (p += " "), o < 2 ? p += "[" + (I + e.cregBase(q.options.creg.name)) + "]" : p += "ro[" + (I + e.cregBase(q.options.creg.name)) + "]", J++; + H++; } - p += ` -`, G && (p += "LABEL @END" + (Q + 1) + ` -`, p += ` -`, Q += 2); - } else - console.log("unknown gate", q.name); - } - } - return t && (p += ` -`), p; - }; - b.prototype.exportToAQASM = function(a, t, r, n) { - var s = this; - a = a || {}, a.comment; - var e = a.decompose, o = a.asJupyter, u = a.shots, p = t ? a.hybrid : !1, v = null, f = null; - u = u || 1024, typeof p == "undefined" && (p = this.options ? !!this.options.hybrid : !1); - var h = this.save(!!e); - v = new b(), f = new b(), v.load(h), f.load(h); - var m = function(H, U) { - if (H.isSymbolNode) { - var nr = ["pi"]; - if (nr.indexOf(H.name) >= 0) - return "np." + H.name; - var xr = H.name; - if (U.replaceVars && typeof U.replaceVars[xr] != "undefined") { - var xr = U.replaceVars[xr]; - return s.params.indexOf(xr) >= 0 ? "(" + K[xr] + ")" : "(" + xr + ")"; - } - if (s.params.indexOf(H.name) >= 0) - return K[H.name]; - } - }, l = function(H, U) { - var nr = "", xr = H.split(` -`), B = -1; - xr.map(function(vr) { - var yr = vr.search(/\S/); - yr >= 0 && (B < 0 || yr < B) && (B = yr); - }), B < 0 && (B = 0); - var ur = ""; - if (B < U.length) - for (var cr = 0; cr < U.length - B; cr++) - ur += " "; - return xr.map(function(vr) { - nr += ur + vr + ` -`; - }), nr; - }, d = function(H) { - for (var U = "", nr = 0; nr < H; nr++) - U += " "; - return U; - }; - n = n || 0; - var c = []; - if (!t) { - if (!e) - for (var T = f.numCols(), _ = T - 1; _ >= 0; _--) - for (var S = 0; S < f.numQubits; S++) { - var O = f.gates[S][_]; - if (O && O.connector == 0 && !f.basicGates[O.name]) { - customDecomposedCircuit = f.decomposeGateAt(_, S); - for (var k = 0; k < customDecomposedCircuit.numCols(); k++) - for (var Q = 0; Q < customDecomposedCircuit.numQubits; Q++) { - var R = customDecomposedCircuit.getGateAt(k, Q); - R && R.connector == 0 && c.push(R), v.gates.map(function(H, U) { - H.map(function(nr) { - nr && nr.name == O.name && v.removeGate(nr.id); - }); - }); - } + u += ")"; + } else if (O && O.params && O.params.length) { + u += "("; + for (var te = 0; te < O.params.length; te++) { + if (H > 0 && (u += ", "), typeof T[O.params[te]] < "u") { + var x = Et(T[O.params[te]]); + u += x.toString({ handler: E }); + } + H++; } + u += ")"; } - c.map(function(H) { - H && v.insertGate(H.name, H.column, H.wires, H.options); - }); + for (var be = 0; be < _.wires.length; be++) + H > 0 && (u += " "), e ? u += "q" + _.wires[be] : u += "" + _.wires[be], H++; + if (_.name == "measure" && _.options && _.options.creg) { + var K = parseInt(_.options.creg.bit) || 0; + isNaN(K) && (K = 0), H > 0 && (u += " "), o < 2 ? u += "[" + (K + s.cregBase(_.options.creg.name)) + "]" : u += "ro[" + (K + s.cregBase(_.options.creg.name)) + "]", H++; + } + u += ` +`, q && (u += "LABEL @END" + (D + 1) + ` +`, u += ` +`, D += 2); + } else + console.log("unknown gate", _.name); + } } - var g = "", q = d(n), j = v.usedGates(), y = v.numQubits; - if (t) - if (r) { - for (var E = "", W = 0, A = 0; A < v.params.length; A++) - W > 0 && (E += ", "), E += v.params[A], W++; - for (var A = 0; A < v.numQubits; A++) - W > 0 && (E += ", "), E += Cr(A, v.numQubits), W++; - } else { - g += q + `from qat.lang.AQASM import * -`, g += q + `from qat.qpus import get_default_qpu -`, g += q + `from collections import Counter -`, p && (g += q + `from scipy.optimize import minimize -`), g += q + `import numpy as np -`, g += ` + return e && (u += ` +`), u; +}; +ge.prototype.exportToAQASM = function(t, e, r, n) { + var a = this; + t = t || {}, t.comment; + var s = t.decompose, o = t.asJupyter, p = t.shots, u = e ? t.hybrid : !1, f = null, l = null; + p = p || 1024, typeof u > "u" && (u = this.options ? !!this.options.hybrid : !1); + var c = this.save(!!s); + f = new ge(), l = new ge(), f.load(c), l.load(c); + var h = function(we, Se) { + if (we.isSymbolNode) { + var V = ["pi"]; + if (V.indexOf(we.name) >= 0) + return "np." + we.name; + var re = we.name; + if (Se.replaceVars && typeof Se.replaceVars[re] < "u") { + var re = Se.replaceVars[re]; + return a.params.indexOf(re) >= 0 ? "(" + P[re] + ")" : "(" + re + ")"; + } + if (a.params.indexOf(we.name) >= 0) + return P[we.name]; + } + }, d = function(we, Se) { + var V = "", re = we.split(` +`), pe = -1; + re.map(function(me) { + var Ae = me.search(/\S/); + Ae >= 0 && (pe < 0 || Ae < pe) && (pe = Ae); + }), pe < 0 && (pe = 0); + var X = ""; + if (pe < Se.length) + for (var ie = 0; ie < Se.length - pe; ie++) + X += " "; + return re.map(function(me) { + V += X + me + ` `; - var Y = "", $ = 0; - j.map(function(H) { - var U = v.basicGates[H]; - if (U) { - if (!e && v.basicGates[H].exportInfo.aqasm && v.basicGates[H].exportInfo.aqasm.array) { - if (unsupportedAqasmInfo = v.basicGates[H].exportInfo.aqasm, gateUnitary = H + "_gate", g += q + "def " + gateUnitary + "(", unsupportedAqasmInfo.params && unsupportedAqasmInfo.params.length) { - var nr = 0; - unsupportedAqasmInfo.params.map(function(yr) { - nr > 0 && (g += ", "), g += q + "p_" + yr, nr++; + }), V; + }, g = function(we) { + for (var Se = "", V = 0; V < we; V++) + Se += " "; + return Se; + }; + n = n || 0; + var v = []; + if (!e) { + if (!s) + for (var N = l.numCols(), b = N - 1; b >= 0; b--) + for (var C = 0; C < l.numQubits; C++) { + var x = l.gates[C][b]; + if (x && x.connector == 0 && !l.basicGates[x.name]) { + customDecomposedCircuit = l.decomposeGateAt(b, C); + for (var E = 0; E < customDecomposedCircuit.numCols(); E++) + for (var D = 0; D < customDecomposedCircuit.numQubits; D++) { + var A = customDecomposedCircuit.getGateAt(E, D); + A && A.connector == 0 && v.push(A), f.gates.map(function(we, Se) { + we.map(function(V) { + V && V.name == x.name && f.removeGate(V.id); + }); }); } - g += `): -`, g += d(n + 1) + "return np.array(" + unsupportedAqasmInfo.array + `) - -`, Y += H + ' = AbstractGate("' + H + '", ['; - var xr = 0; - if (unsupportedAqasmInfo.params) - for (var B = 0; B < unsupportedAqasmInfo.params.length; B++) - xr > 0 && (Y += ", "), Y += "float", xr++; - U.matrix && (arity = x.log2(U.matrix.length)), Y += "], matrix_generator=" + gateUnitary + ", arity=" + arity + `) + } + } + v.map(function(we) { + we && f.insertGate(we.name, we.column, we.wires, we.options); + }); + } + var M = "", _ = g(n), O = f.usedGates(), T = f.numQubits; + if (e) + if (r) { + for (var $ = "", U = 0, k = 0; k < f.params.length; k++) + U > 0 && ($ += ", "), $ += f.params[k], U++; + for (var k = 0; k < f.numQubits; k++) + U > 0 && ($ += ", "), $ += Cr(k, f.numQubits), U++; + } else { + M += _ + `from qat.lang.AQASM import * +`, M += _ + `from qat.qpus import get_default_qpu +`, M += _ + `from collections import Counter +`, u && (M += _ + `from scipy.optimize import minimize +`), M += _ + `import numpy as np +`, M += ` `; + var L = "", R = 0; + O.map(function(we) { + var Se = f.basicGates[we]; + if (Se) { + if (!s && f.basicGates[we].exportInfo.aqasm && f.basicGates[we].exportInfo.aqasm.array) { + if (unsupportedAqasmInfo = f.basicGates[we].exportInfo.aqasm, gateUnitary = we + "_gate", M += _ + "def " + gateUnitary + "(", unsupportedAqasmInfo.params && unsupportedAqasmInfo.params.length) { + var V = 0; + unsupportedAqasmInfo.params.map(function(Ae) { + V > 0 && (M += ", "), M += _ + "p_" + Ae, V++; + }); } - } else { - var ur = s.customGates[H]; - if (ur) { - var cr = new b(); - cr.load(ur); - var vr = { - comment: "", - decompose: !0, - asJupyter: !1, - shots: null, - hybrid: !1 - }; - g += cr.exportToAQASM(vr, t, H, n), $++; - } - } - }), g += Y, g += ` -`, u && (g += q + "shots = " + u + ` -`, g += ` -`), g += q + `program = Program() -`, g += q + "qubits_reg = program.qalloc(" + v.numQubits + `) + M += `): +`, M += g(n + 1) + "return np.array(" + unsupportedAqasmInfo.array + `) + +`, L += we + ' = AbstractGate("' + we + '", ['; + var re = 0; + if (unsupportedAqasmInfo.params) + for (var pe = 0; pe < unsupportedAqasmInfo.params.length; pe++) + re > 0 && (L += ", "), L += "float", re++; + Se.matrix && (arity = vi(Se.matrix.length)), L += "], matrix_generator=" + gateUnitary + ", arity=" + arity + `) `; - for (var C in v.cregs) - g += q + C + " = program.calloc(" + v.cregs[C].length + `) + } + } else { + var X = a.customGates[we]; + if (X) { + var ie = new ge(); + ie.load(X); + var me = { + comment: "", + decompose: !0, + asJupyter: !1, + shots: null, + hybrid: !1 + }; + M += ie.exportToAQASM(me, e, we, n), R++; + } + } + }), M += L, M += ` +`, p && (M += _ + "shots = " + p + ` +`, M += ` +`), M += _ + `program = Program() +`, M += _ + "qubits_reg = program.qalloc(" + f.numQubits + `) `; - g += ` + for (var G in f.cregs) + M += _ + G + " = program.calloc(" + f.cregs[G].length + `) `; - var K = this.options && this.options.params ? this.options.params : {}; - if (this.params.length) { - for (var A = 0; A < this.params.length; A++) { - var L = this.params[A], pr = x.parse(K[L]), z = pr.toString({ handler: m }); - g += L + " = " + z + ` + M += ` `; - } - g += ` + var P = this.options && this.options.params ? this.options.params : {}; + if (this.params.length) { + for (var k = 0; k < this.params.length; k++) { + var W = this.params[k], le = Et(P[W]), Z = le.toString({ handler: h }); + M += W + " = " + Z + ` `; } - p && (g += q + "tolerance = " + (this.options && this.options.hybridOptions && this.options.hybridOptions.tolerance && this.options.hybridOptions.tolerance || "0.001") + ` -`, g += ` -`); - } - else if (g += q + `BEGIN -`, g += q + "qubits " + y + ` -`, v.cregs) { - var Z = 0; - for (var G in v.cregs) - Z += v.cregs[G].length; - g += q + "cbits " + Z + ` + M += ` `; + } + u && (M += _ + "tolerance = " + (this.options && this.options.hybridOptions && this.options.hybridOptions.tolerance && this.options.hybridOptions.tolerance || "0.001") + ` +`, M += ` +`); } - r ? (g += "def " + r + (E ? "(" + E + ")" : "") + `: -`, n++, q = d(n), g += q + `circuit = QRoutine() -`) : p && (g += `def objective_function(params): -`, n++, q = d(n)), r || $ && (g += ` -`, j.map(function(H) { - !v.basicGates[H] && v.customGates[H] && (g += q + H + "("); - })); - for (var _ = 0; _ < v.numCols(); _++) - for (var S = 0; S < v.numQubits; S++) { - var O = v.getGateAt(_, S); - if (O && O.connector == 0) { - var J = v.getGateDef(O.name), M = ""; - if (O.options && O.options.params && (gateParams = O.options.params), O.name == "measure" && (t ? M += "program.measure" : M += "MEAS"), O.name == "reset" && (t ? M += "program.reset" : M += "RESET"), J && J.exportInfo) { - if (J.exportInfo.aqasm) { - var V = J.exportInfo.aqasm, I = ""; - if (V.name) - J.params.length ? J.params.map(function(B) { - var ur = x.parse(gateParams[B]), cr = ur.toString({ handler: m }); - I = V.name, t ? I += "(" + cr + ")" : I += "[" + cr + "]"; - }) : I += V.name, V.controlled && V.dagger ? t ? M += I + ".dag().ctrl()" : M += "CTRL(DAG(" + I + "))" : V.controlled ? t ? M += I + ".ctrl()" : M += "CTRL(" + I + ")" : V.dagger ? t ? M += I + ".dag()" : M += "DAG(" + I + ")" : M += I; - else if (V.matrix) - if (t) { - M += O.name + "("; - var N = 0; - J.params.map(function(B) { - N > 0 && (M += ", "); - var ur = x.parse(gateParams[B]), cr = ur.toString({ handler: m }); - M += cr, N++; - }), M += ")"; - } else { - M = "["; - for (var F = 0; F < V.matrix.length; F++) { - row = V.matrix[F], M += "["; - for (var A = 0; A < row.length; A++) - M += "(", row_element = row[A], V.params && V.params.map(function(ur) { - var cr = gateParams[ur]; - row_element.toString().indexOf(ur) > 0 && (row_element = row_element.replace(ur, cr)); - }), evaluated_expression = x.evaluate(row_element, s.options.params), matrix_element = x.complex(evaluated_expression), matrix_element_real = matrix_element.re, matrix_element_im = matrix_element.im, M += matrix_element_real + ", " + matrix_element_im + ")", A < row.length - 1 && (M += " "); - M += "]", F < V.matrix.length - 1 && (M += " "); - } - M += "]"; + else if (M += _ + `BEGIN +`, M += _ + "qubits " + T + ` +`, f.cregs) { + var I = 0; + for (var q in f.cregs) + I += f.cregs[q].length; + M += _ + "cbits " + I + ` +`; + } + r ? (M += "def " + r + ($ ? "(" + $ + ")" : "") + `: +`, n++, _ = g(n), M += _ + `circuit = QRoutine() +`) : u && (M += `def objective_function(params): +`, n++, _ = g(n)), r || R && (M += ` +`, O.map(function(we) { + !f.basicGates[we] && f.customGates[we] && (M += _ + we + "("); + })); + for (var b = 0; b < f.numCols(); b++) + for (var C = 0; C < f.numQubits; C++) { + var x = f.getGateAt(b, C); + if (x && x.connector == 0) { + var H = f.getGateDef(x.name), te = ""; + if (x.options && x.options.params && (gateParams = x.options.params), x.name == "measure" && (e ? te += "program.measure" : te += "MEAS"), x.name == "reset" && (e ? te += "program.reset" : te += "RESET"), H && H.exportInfo) { + if (H.exportInfo.aqasm) { + var be = H.exportInfo.aqasm, K = ""; + if (be.name) + H.params.length ? H.params.map(function(pe) { + var X = Et(gateParams[pe]), ie = X.toString({ handler: h }); + K = be.name, e ? K += "(" + ie + ")" : K += "[" + ie + "]"; + }) : K += be.name, be.controlled && be.dagger ? e ? te += K + ".dag().ctrl()" : te += "CTRL(DAG(" + K + "))" : be.controlled ? e ? te += K + ".ctrl()" : te += "CTRL(" + K + ")" : be.dagger ? e ? te += K + ".dag()" : te += "DAG(" + K + ")" : te += K; + else if (be.matrix) + if (e) { + te += x.name + "("; + var de = 0; + H.params.map(function(pe) { + de > 0 && (te += ", "); + var X = Et(gateParams[pe]), ie = X.toString({ handler: h }); + te += ie, de++; + }), te += ")"; + } else { + te = "["; + for (var ce = 0; ce < be.matrix.length; ce++) { + row = be.matrix[ce], te += "["; + for (var k = 0; k < row.length; k++) + te += "(", row_element = row[k], be.params && be.params.map(function(X) { + var ie = gateParams[X]; + row_element.toString().indexOf(X) > 0 && (row_element = row_element.replace(X, ie)); + }), evaluated_expression = Br(row_element, a.options.params), matrix_element = Wt(evaluated_expression), matrix_element_real = matrix_element.re, matrix_element_im = matrix_element.im, te += matrix_element_real + ", " + matrix_element_im + ")", k < row.length - 1 && (te += " "); + te += "]", ce < be.matrix.length - 1 && (te += " "); } - } - g += q + M, t ? g += "(" : g += " "; + te += "]"; + } } - for (var W = 0, X = 0; X < O.wires.length; X++) - W > 0 && (g += ", "), t ? r ? g += Cr(O.wires[X], v.numQubits) : g += "qubits_reg[" + O.wires[X] + "]" : g += "q[" + O.wires[X] + "]", W = W + 1; - O.options && O.options.creg && (g += ", " + O.options.creg.name + "[" + O.options.creg.bit + "]"), t && (g += ")"), g += ` -`; + M += _ + te, e ? M += "(" : M += " "; } + for (var U = 0, ue = 0; ue < x.wires.length; ue++) + U > 0 && (M += ", "), e ? r ? M += Cr(x.wires[ue], f.numQubits) : M += "qubits_reg[" + x.wires[ue] + "]" : M += "q[" + x.wires[ue] + "]", U = U + 1; + x.options && x.options.creg && (M += ", " + x.options.creg.name + "[" + x.options.creg.bit + "]"), e && (M += ")"), M += ` +`; } - if (r && (g += q + `return circuit + } + if (r && (M += _ + `return circuit -`), !t) - g += "END"; - else if (!r) - if (g += q + ` -`, g += q + `circuit = program.to_circ() -`, g += q + `job = circuit.to_job(nbshots=shots, aggregate_data=False) -`, g += q + `qpu = get_default_qpu() -`, g += q + `job_result = qpu.submit(job) -`, g += q + `counts = Counter() +`), !e) + M += "END"; + else if (!r) + if (M += _ + ` +`, M += _ + `circuit = program.to_circ() +`, M += _ + `job = circuit.to_job(nbshots=shots, aggregate_data=False) +`, M += _ + `qpu = get_default_qpu() +`, M += _ + `job_result = qpu.submit(job) +`, M += _ + `counts = Counter() -`, g += q + `for state in job_result: -`, g += q + ` string_state = str(state.state) -`, g += q + ` string_state = string_state[string_state.find('|') + 1: string_state.find('>')] -`, g += q + ` string_state = string_state[::-1] -`, g += q + ` counts[string_state] += 1 +`, M += _ + `for state in job_result: +`, M += _ + ` string_state = str(state.state) +`, M += _ + ` string_state = string_state[string_state.find('|') + 1: string_state.find('>')] +`, M += _ + ` string_state = string_state[::-1] +`, M += _ + ` counts[string_state] += 1 -`, p) { - g += q + `# CALCULATE COST HERE +`, u) { + M += _ + `# CALCULATE COST HERE `; - var er = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; - if (er.trim() || (er = "cost = 0"), g += l(er, q), g += ` -`, g += q + `return cost -`, n--, q = d(n), p) { - var D = ""; - this.params.map(function(H, U) { - U > 0 && (D += ", "), D += H; - }), g += ` -`, g += "params = np.array([" + D + `]) -`, g += ` -`, g += 'minimum = minimize(objective_function, params, method="' + (this.options && this.options.hybridOptions && this.options.hybridOptions.optimizer ? this.options.hybridOptions.optimizer : "Powell") + `", tol=tolerance) -`, g += `print("cost:", minimum.fun, "params:", minimum.x) + var ve = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; + if (ve.trim() || (ve = "cost = 0"), M += d(ve, _), M += ` +`, M += _ + `return cost +`, n--, _ = g(n), u) { + var he = ""; + this.params.map(function(we, Se) { + Se > 0 && (he += ", "), he += we; + }), M += ` +`, M += "params = np.array([" + he + `]) +`, M += ` +`, M += 'minimum = minimize(objective_function, params, method="' + (this.options && this.options.hybridOptions && this.options.hybridOptions.optimizer ? this.options.hybridOptions.optimizer : "Powell") + `", tol=tolerance) +`, M += `print("cost:", minimum.fun, "params:", minimum.x) `; + } + } else + M += _ + "print(counts)"; + if (o && e) { + var Ne = { + metadata: { + kernelspec: { + display_name: "Python 3", + language: "python", + name: "python3" } - } else - g += q + "print(counts)"; - if (o && t) { - var tr = { - metadata: { - kernelspec: { - display_name: "Python 3", - language: "python", - name: "python3" - } - }, - nbformat: 4, - nbformat_minor: 0, - cells: [ - { - cell_type: "code", - source: g, - metadata: {}, - outputs: [], - execution_count: null - } - ] - }; - return JSON.stringify(tr); - } - return g; - }; - b.prototype.exportAQASM = function(a, t, r, n, s, e, o, u) { - var p = { - comment: a, - decompose: t, - asJupyter: s, - shots: e, - hybrid: o - }; - return this.exportToAQASM(p, r, n, u); - }; - b.prototype.exportToPyAQASM = function(a, t) { - return this.exportToAQASM(a, !0, t); - }; - b.prototype.exportPyAQASM = function(a, t, r, n, s, e) { - var o = { - comment: a, - decompose: t, - asJupyter: n, - shots: s, - hybrid: e + }, + nbformat: 4, + nbformat_minor: 0, + cells: [ + { + cell_type: "code", + source: M, + metadata: {}, + outputs: [], + execution_count: null + } + ] }; - return this.exportToPyAQASM(o, r); - }; - b.prototype.exportToCirq = function(a, t) { - a = a || {}; - var r = a.comment, n = a.decompose, s = a.versionStr, e = a.asJupyter, o = a.shots, u = a.exportTfq, p = this, v = ""; - u ? v = "TFQ" : v = "cirq"; - var f = parseFloat(s || "0.7"); - isNaN(f) && (f = 0.7), typeof o == "undefined" && (o = 1024); - var h = new b(); - h.load(this.save(n)); - var m = "", l = ""; - if (r) { - var d = (r || "").split(` + return JSON.stringify(Ne); + } + return M; +}; +ge.prototype.exportAQASM = function(t, e, r, n, a, s, o, p) { + var u = { + comment: t, + decompose: e, + asJupyter: a, + shots: s, + hybrid: o + }; + return this.exportToAQASM(u, r, n, p); +}; +ge.prototype.exportToPyAQASM = function(t, e) { + return this.exportToAQASM(t, !0, e); +}; +ge.prototype.exportPyAQASM = function(t, e, r, n, a, s) { + var o = { + comment: t, + decompose: e, + asJupyter: n, + shots: a, + hybrid: s + }; + return this.exportToPyAQASM(o, r); +}; +ge.prototype.exportToCirq = function(t, e) { + t = t || {}; + var r = t.comment, n = t.decompose, a = t.versionStr, s = t.asJupyter, o = t.shots, p = t.exportTfq, u = this, f = ""; + p ? f = "TFQ" : f = "cirq"; + var l = parseFloat(a || "0.7"); + isNaN(l) && (l = 0.7), typeof o > "u" && (o = 1024); + var c = new ge(); + c.load(this.save(n)); + var h = "", d = ""; + if (r) { + var g = (r || "").split(` `); - d.map(function(D) { - D.length >= 1 && D[0] != "#" && (m += "# "), m += D, m += ` + g.map(function(he) { + he.length >= 1 && he[0] != "#" && (h += "# "), h += he, h += ` `; - }); + }); + } + var v = function(he, Ne) { + if (he.isSymbolNode) { + var we = ["pi", "sin", "cos", "tan", "asin", "acos", "atan"]; + if (we.indexOf(he.name) >= 0) + return "np." + he.name; } - var c = function(D, tr) { - if (D.isSymbolNode) { - var H = ["pi", "sin", "cos", "tan", "asin", "acos", "atan"]; - if (H.indexOf(D.name) >= 0) - return "np." + D.name; - } - }; - if (t) { - for (var T = "", _ = 0, S = 0; S < h.params.length; S++) - _ > 0 && (T += ", "), T += h.params[S], _++; - for (var S = 0; S < h.numQubits; S++) - _ > 0 && (T += ", "), T += Cr(S, h.numQubits), _++; - m += "def " + t + (T ? "(" + T + ")" : "") + `: -`, m += ` return [ -`, l = " "; - } else { - u && (m += `import tensorflow_quantum as tfq -`), m += `import cirq -`, m += `import numpy as np -`, m += `from functools import reduce -`, m += ` + }; + if (e) { + for (var N = "", b = 0, C = 0; C < c.params.length; C++) + b > 0 && (N += ", "), N += c.params[C], b++; + for (var C = 0; C < c.numQubits; C++) + b > 0 && (N += ", "), N += Cr(C, c.numQubits), b++; + h += "def " + e + (N ? "(" + N + ")" : "") + `: +`, h += ` return [ +`, d = " "; + } else { + p && (h += `import tensorflow_quantum as tfq +`), h += `import cirq +`, h += `import numpy as np +`, h += `from functools import reduce +`, h += ` `; - var O = this.options && this.options.params ? this.options.params : {}; - if (this.params.length) { - for (var S = 0; S < this.params.length; S++) { - var k = this.params[S], Q = x.parse(O[k]), R = Q.toString({ handler: c }); - m += k + " = " + R + ` + var x = this.options && this.options.params ? this.options.params : {}; + if (this.params.length) { + for (var C = 0; C < this.params.length; C++) { + var E = this.params[C], D = Et(x[E]), A = D.toString({ handler: v }); + h += E + " = " + A + ` `; - } - m += ` + } + h += ` `; + } + var _ = c.usedGates(); + n || _.map(function(he) { + var Ne = c.basicGates[he]; + if (!Ne) { + var we = u.customGates[he]; + if (we) { + var Se = new ge(); + Se.load(we); + var V = { + comment: "", + decompose: !0, + versionStr: a + }; + h += Se.exportToCirq(V, e); + } } - var q = h.usedGates(); - n || q.map(function(D) { - var tr = h.basicGates[D]; - if (!tr) { - var H = p.customGates[D]; - if (H) { - var U = new b(); - U.load(H); - var nr = { - comment: "", - decompose: !0, - versionStr: s - }; - m += U.exportToCirq(nr, t); - } + }); + var M = "", _ = c.usedGates(); + _.map(function(he) { + var Ne = c.basicGates[he]; + if (Ne && Ne.exportInfo && Ne.exportInfo.cirq) { + var we = Ne.exportInfo.cirq, Se = !1; + if (we.replacement) { + var V = c.getGateDef(we.replacement.name); + we = V.exportInfo.cirq, Se = !0; } - }); - var g = "", q = h.usedGates(); - q.map(function(D) { - var tr = h.basicGates[D]; - if (tr && tr.exportInfo && tr.exportInfo.cirq) { - var H = tr.exportInfo.cirq, U = !1; - if (H.replacement) { - var nr = h.getGateDef(H.replacement.name); - H = nr.exportInfo.cirq, U = !0; - } - if (H.array && !u) { - var xr = U ? H.name : D; - if (g.indexOf(xr) < 0) { - if (g += "def " + xr + "(", H.params && H.params.map(function(B, ur) { - ur > 0 && (g += ", "), g += "p_" + B; - }), g += `): -`, tr.matrix && tr.matrix.length) - if (f < 0.7) - switch (tr.matrix.length) { - case 2: - g += " return cirq.SingleQubitMatrixGate(np.array(" + H.array + `)) + if (we.array && !p) { + var re = Se ? we.name : he; + if (M.indexOf(re) < 0) { + if (M += "def " + re + "(", we.params && we.params.map(function(pe, X) { + X > 0 && (M += ", "), M += "p_" + pe; + }), M += `): +`, Ne.matrix && Ne.matrix.length) + if (l < 0.7) + switch (Ne.matrix.length) { + case 2: + M += " return cirq.SingleQubitMatrixGate(np.array(" + we.array + `)) `; - break; - case 4: - g += " return cirq.TwoQubitMatrixGate(np.array(" + H.array + `)) + break; + case 4: + M += " return cirq.TwoQubitMatrixGate(np.array(" + we.array + `)) `; - break; - default: - g += " # Export to " + v + " WARNING: Cannot define " + tr.matrix.length + " x " + tr.matrix.length + ` matrix gate + break; + default: + M += " # Export to " + f + " WARNING: Cannot define " + Ne.matrix.length + " x " + Ne.matrix.length + ` matrix gate `; - } - else - g += " return cirq.MatrixGate(np.array(" + H.array + `)) + } + else + M += " return cirq.MatrixGate(np.array(" + we.array + `)) `; - g += ` + M += ` `; - } } } - }), m += g, u ? m += "q = cirq.GridQubit.rect(1, " + h.numQubits + `) -` : m += "q = [cirq.NamedQubit('q' + str(i)) for i in range(" + h.numQubits + `)] -`, m += ` -`, f < 0.7 ? m += `circuit = cirq.Circuit.from_ops( -` : m += `circuit = cirq.Circuit( -`, l = " "; - } - for (var j = h.numCols(), y = 0, Z = "", G = !1, E = 0; E < j; E++) - for (var W = 0; W < this.numQubits; W++) { - var A = h.getGateAt(E, W); - if (A && A.connector == 0) { - y > 0 && (m += ",", u && G && (m += l + "# Export to TFQ WARNING: Gate not yet supported by Tensorflow Quantum"), m += ` + } + }), h += M, p ? h += "q = cirq.GridQubit.rect(1, " + c.numQubits + `) +` : h += "q = [cirq.NamedQubit('q' + str(i)) for i in range(" + c.numQubits + `)] +`, h += ` +`, l < 0.7 ? h += `circuit = cirq.Circuit.from_ops( +` : h += `circuit = cirq.Circuit( +`, d = " "; + } + for (var O = c.numCols(), T = 0, I = "", q = !1, $ = 0; $ < O; $++) + for (var U = 0; U < this.numQubits; U++) { + var k = c.getGateAt($, U); + if (k && k.connector == 0) { + T > 0 && (h += ",", p && q && (h += d + "# Export to TFQ WARNING: Gate not yet supported by Tensorflow Quantum"), h += ` `); - var Y = h.getGateDef(A.name), $ = A.options && A.options.params ? A.options.params : {}, C = null, K = !1, L = !!h.basicGates[A.name]; - if (Y) { - Y.exportInfo && (G = !!Y.exportInfo.cirq.notTfqSupported, Y.exportInfo.cirq && Y.exportInfo.cirq.replacement && (Y.exportInfo.cirq.replacement.params && ($ = Y.exportInfo.cirq.replacement.params), K = !!(Y.exportInfo.cirq.replacement.type && Y.exportInfo.cirq.replacement.type == "controlled"), G = !!Y.exportInfo.cirq.replacement.notTfqSupported, Y = h.getGateDef(Y.exportInfo.cirq.replacement.name)), C = Y && Y.exportInfo && Y.exportInfo.cirq ? Y.exportInfo.cirq : null), y++, A.options && A.options.condition && A.options.condition.creg && (m += l + "# Export to " + v + ` WARNING: classical control not implemented yet. + var L = c.getGateDef(k.name), R = k.options && k.options.params ? k.options.params : {}, G = null, P = !1, W = !!c.basicGates[k.name]; + if (L) { + L.exportInfo && (q = !!L.exportInfo.cirq.notTfqSupported, L.exportInfo.cirq && L.exportInfo.cirq.replacement && (L.exportInfo.cirq.replacement.params && (R = L.exportInfo.cirq.replacement.params), P = !!(L.exportInfo.cirq.replacement.type && L.exportInfo.cirq.replacement.type == "controlled"), q = !!L.exportInfo.cirq.replacement.notTfqSupported, L = c.getGateDef(L.exportInfo.cirq.replacement.name)), G = L && L.exportInfo && L.exportInfo.cirq ? L.exportInfo.cirq : null), T++, k.options && k.options.condition && k.options.condition.creg && (h += d + "# Export to " + f + ` WARNING: classical control not implemented yet. `); - var pr = 0, z = ""; - if ($) { - var J = Y.params || []; - A.name == "yy" && (J = []); - var M = J.length; - if (M) - for (var V = 0; V < M; V++) { - pr == 0 && (z += "("), pr > 0 && (z += ", "); - var I = J[V]; - if ($[I]) { - var Q = x.parse($[I]); - if (!Q.args) - for (var F in A.options.params) - Q = x.parse(A.options.params[F]); - z += Q.toString({ handler: c }); - } - pr == M - 1 && (L ? z += ")" : z += ", "), pr++; + var le = 0, Z = ""; + if (R) { + var H = L.params || []; + k.name == "yy" && (H = []); + var te = H.length; + if (te) + for (var be = 0; be < te; be++) { + le == 0 && (Z += "("), le > 0 && (Z += ", "); + var K = H[be]; + if (R[K]) { + var D = Et(R[K]); + if (!D.args) + for (var ce in k.options.params) + D = Et(k.options.params[ce]); + Z += D.toString({ handler: v }); } - } - if (C) { - var N = C.name.indexOf("**") >= 0; - m += l, N && (m += "("), C.array || (m += "cirq."), u && C.tfqReplacement && C.tfqReplacement.name ? m += "cirq." + C.tfqReplacement.name : m += C.name, N && (m += ")"); - } else - m += l + A.name; - m += z, K ? m += ".controlled().on(" : L && (m += "("); - for (var _ = 0, X = 0; X < A.wires.length; X++) - _ > 0 && (m += ", "), t ? m += Cr(A.wires[X], h.numQubits) : m += "q[" + A.wires[X] + "]", _++; - A.name == "measure" && A.options && A.options.creg && (_ > 0 && (m += ", key="), m += "'" + A.options.creg.name + A.options.creg.bit + "'", E == j - 1 && W == this.numQubits - 1 ? Z += "'" + A.options.creg.name + A.options.creg.bit + "'" : Z += "'" + A.options.creg.name + A.options.creg.bit + "', ", _++), m += ")"; + le == te - 1 && (W ? Z += ")" : Z += ", "), le++; + } + } + if (G) { + var de = G.name.indexOf("**") >= 0; + h += d, de && (h += "("), G.array || (h += "cirq."), p && G.tfqReplacement && G.tfqReplacement.name ? h += "cirq." + G.tfqReplacement.name : h += G.name, de && (h += ")"); } else - m += l + "# Export to " + v + ' WARNING: unknown gate "' + A.name + '".'; - } + h += d + k.name; + h += Z, P ? h += ".controlled().on(" : W && (h += "("); + for (var b = 0, ue = 0; ue < k.wires.length; ue++) + b > 0 && (h += ", "), e ? h += Cr(k.wires[ue], c.numQubits) : h += "q[" + k.wires[ue] + "]", b++; + k.name == "measure" && k.options && k.options.creg && (b > 0 && (h += ", key="), h += "'" + k.options.creg.name + k.options.creg.bit + "'", $ == O - 1 && U == this.numQubits - 1 ? I += "'" + k.options.creg.name + k.options.creg.bit + "'" : I += "'" + k.options.creg.name + k.options.creg.bit + "', ", b++), h += ")"; + } else + h += d + "# Export to " + f + ' WARNING: unknown gate "' + k.name + '".'; } - if (u && G && (m += l + "# Export to TFQ WARNING: Gate not yet supported by Tensorflow Quantu"), t ? (m += ` + } + if (p && q && (h += d + "# Export to TFQ WARNING: Gate not yet supported by Tensorflow Quantu"), e ? (h += ` ] -`, m += ` -`) : (m += ` +`, h += ` +`) : (h += ` ) -`, m += ` -`, u || (m += `simulator = cirq.Simulator() -`, m += "result = simulator.run(circuit, repetitions=" + o + `) -`, m += "result_dict = dict(result.multi_measurement_histogram(keys=[" + Z + `])) -`, m += `keys = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1]), result_dict.keys())) -`, m += `counts = dict(zip(keys,[value for value in result_dict.values()])) -`, m += "print(counts)")), e) { - var er = { - metadata: { - kernelspec: { - display_name: "Python 3", - language: "python", - name: "python3" - } - }, - nbformat: 4, - nbformat_minor: 0, - cells: [ - { - cell_type: "code", - source: m, - metadata: {}, - outputs: [], - execution_count: null - } - ] - }; - return JSON.stringify(er); - } - return m; - }; - b.prototype.exportToTFQ = function(a, t) { - a = a || {}; - var r = a.comment, n = a.decompose, s = a.versionStr, e = a.asJupyter, o = a.shots; - typeof o == "undefined" && (o = 1024); - var u = new b(); - u.load(this.save(n)); - var p = ""; - if (r) { - var v = (r || "").split(` +`, h += ` +`, p || (h += `simulator = cirq.Simulator() +`, h += "result = simulator.run(circuit, repetitions=" + o + `) +`, h += "result_dict = dict(result.multi_measurement_histogram(keys=[" + I + `])) +`, h += `keys = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1]), result_dict.keys())) +`, h += `counts = dict(zip(keys,[value for value in result_dict.values()])) +`, h += "print(counts)")), s) { + var ve = { + metadata: { + kernelspec: { + display_name: "Python 3", + language: "python", + name: "python3" + } + }, + nbformat: 4, + nbformat_minor: 0, + cells: [ + { + cell_type: "code", + source: h, + metadata: {}, + outputs: [], + execution_count: null + } + ] + }; + return JSON.stringify(ve); + } + return h; +}; +ge.prototype.exportToTFQ = function(t, e) { + t = t || {}; + var r = t.comment, n = t.decompose, a = t.versionStr, s = t.asJupyter, o = t.shots; + typeof o > "u" && (o = 1024); + var p = new ge(); + p.load(this.save(n)); + var u = ""; + if (r) { + var f = (r || "").split(` `); - v.map(function(m) { - m.length >= 1 && m[0] != "#" && (cirq += "# "), cirq += m, cirq += ` + f.map(function(h) { + h.length >= 1 && h[0] != "#" && (cirq += "# "), cirq += h, cirq += ` `; - }); - } - var f = { - comment: r, - decompose: n, - versionStr: s, - asJupyter: !1, - shots: o, - exportTfq: !0 - }; - if (p += u.exportToCirq(f, t), p += "results_list = tfq.layers.Sample()(circuit, repetitions=" + o + `).to_list()[0] -`, p += `results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1]), results_list)) -`, p += `counts = dict(zip(results,[results.count(i) for i in results])) -`, p += "print(counts)", e) { - var h = { - metadata: { - kernelspec: { - display_name: "Python 3", - language: "python", - name: "python3" - } - }, - nbformat: 4, - nbformat_minor: 0, - cells: [ - { - cell_type: "code", - source: p, - metadata: {}, - outputs: [], - execution_count: null - } - ] - }; - return JSON.stringify(h); - } - return p; + }); + } + var l = { + comment: r, + decompose: n, + versionStr: a, + asJupyter: !1, + shots: o, + exportTfq: !0 }; - b.prototype.exportToQSharp = function(a, t) { - a = a || {}, a.comment; - var r = a.decompose, n = a.versionStr, s = a.asJupyter, e = a.circuitName, o = a.indentDepth, u = this, p = function(z, J) { - if (z.isSymbolNode) { - var M = { pi: "PI()" }; - if (M[z.name]) - return M[z.name]; - } - if (z.isConstantNode && Number.isInteger(z.value)) - return z.value.toFixed(1); - }, v = e || "Circuit"; - o = o || 0; - function f(z) { - for (var J = "", M = 0; M < z; M++) - J += " "; - return J; - } - var h = new b(); - h.load(this.save(r)); - var m = "", l = f(o); - if (t || (s || (m += `namespace Quantum { -`, o++, l = f(o)), m += l + `open Microsoft.Quantum.Intrinsic; -`, m += l + `open Microsoft.Quantum.Canon; -`, m += l + `open Microsoft.Quantum.Math; -`, m += l + `open Microsoft.Quantum.Convert; -`, m += ` -`, m += l + `function SetBitValue(reg: Int, bit: Int, value: Bool): Int { -`, m += l + ` if(value) { -`, m += l + ` return reg ||| (1 <<< bit); -`, m += l + ` } else { -`, m += l + ` return reg &&& ~~~(1 <<< bit); -`, m += l + ` } -`, m += l + `} -`, m += l + ` -`), t) { - for (var d = "", c = 0, T = 0; T < h.params.length; T++) - c > 0 && (d += ", "), d += h.params[T], c++; - for (var T = 0; T < h.numQubits; T++) - c > 0 && (d += ", "), d += Cr(T, h.numQubits) + ": Qubit", c++; - m += l + "operation " + t + (d ? "(" + d + ")" : ""); - } else { - var O = h.usedGates(); - r || O.map(function(J) { - var M = h.basicGates[J]; - if (!M) { - var V = u.customGates[J]; - if (V) { - var I = new b(); - I.load(V); - var F = { - comment: "", - decompose: !0, - versionStr: n, - asJupyter: !1, - circuitName: null, - indentDepth: o - }; - m += I.exportToQSharp(F, t); - } + if (u += p.exportToCirq(l, e), u += "results_list = tfq.layers.Sample()(circuit, repetitions=" + o + `).to_list()[0] +`, u += `results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1]), results_list)) +`, u += `counts = dict(zip(results,[results.count(i) for i in results])) +`, u += "print(counts)", s) { + var c = { + metadata: { + kernelspec: { + display_name: "Python 3", + language: "python", + name: "python3" + } + }, + nbformat: 4, + nbformat_minor: 0, + cells: [ + { + cell_type: "code", + source: u, + metadata: {}, + outputs: [], + execution_count: null } - }), m += l + "operation " + v + "()"; + ] + }; + return JSON.stringify(c); + } + return u; +}; +ge.prototype.exportToQSharp = function(t, e) { + t = t || {}, t.comment; + var r = t.decompose, n = t.versionStr, a = t.asJupyter, s = t.circuitName, o = t.indentDepth, p = this, u = function(Z, H) { + if (Z.isSymbolNode) { + var te = { pi: "PI()" }; + if (te[Z.name]) + return te[Z.name]; } - o++, l = f(o); - var _ = 0; - for (cregName in h.cregs) - _++; - var S = ""; - if (_) { - m += " : ("; - for (cregName in h.cregs) - S && (m += ", ", S += ", "), m += "Int", S += cregName; - m += ")"; - } else - m += " : Unit"; - if (m += ` { -`, _) - for (cregName in h.cregs) - m += l + "mutable " + cregName + ` = 0; + if (Z.isConstantNode && Number.isInteger(Z.value)) + return Z.value.toFixed(1); + }, f = s || "Circuit"; + o = o || 0; + function l(Z) { + for (var H = "", te = 0; te < Z; te++) + H += " "; + return H; + } + var c = new ge(); + c.load(this.save(r)); + var h = "", d = l(o); + if (e || (a || (h += `namespace Quantum { +`, o++, d = l(o)), h += d + `open Microsoft.Quantum.Intrinsic; +`, h += d + `open Microsoft.Quantum.Canon; +`, h += d + `open Microsoft.Quantum.Math; +`, h += d + `open Microsoft.Quantum.Convert; +`, h += ` +`, h += d + `function SetBitValue(reg: Int, bit: Int, value: Bool): Int { +`, h += d + ` if(value) { +`, h += d + ` return reg ||| (1 <<< bit); +`, h += d + ` } else { +`, h += d + ` return reg &&& ~~~(1 <<< bit); +`, h += d + ` } +`, h += d + `} +`, h += d + ` +`), e) { + for (var g = "", v = 0, N = 0; N < c.params.length; N++) + v > 0 && (g += ", "), g += c.params[N], v++; + for (var N = 0; N < c.numQubits; N++) + v > 0 && (g += ", "), g += Cr(N, c.numQubits) + ": Qubit", v++; + h += d + "operation " + e + (g ? "(" + g + ")" : ""); + } else { + var x = c.usedGates(); + r || x.map(function(H) { + var te = c.basicGates[H]; + if (!te) { + var be = p.customGates[H]; + if (be) { + var K = new ge(); + K.load(be); + var ce = { + comment: "", + decompose: !0, + versionStr: n, + asJupyter: !1, + circuitName: null, + indentDepth: o + }; + h += K.exportToQSharp(ce, e); + } + } + }), h += d + "operation " + f + "()"; + } + o++, d = l(o); + var b = 0; + for (cregName in c.cregs) + b++; + var C = ""; + if (b) { + h += " : ("; + for (cregName in c.cregs) + C && (h += ", ", C += ", "), h += "Int", C += cregName; + h += ")"; + } else + h += " : Unit"; + if (h += ` { +`, b) + for (cregName in c.cregs) + h += d + "mutable " + cregName + ` = 0; `; - qreg_name = "qubits", t || (m += l + "using(", m += qreg_name + " = Qubit[" + h.numQubits + "]", m += `) { -`, o++, l = f(o)); - for (var O = h.usedGates(), k = h.numCols(), Q = 0; Q < k; Q++) - for (var R = 0; R < h.numQubits; R++) { - var g = h.getGateAt(Q, R); - if (g && g.connector == 0) { - var q = h.getGateDef(g.name); - q || (q = h.customGates[g.name]); - var j = g.options && g.options.params ? g.options.params : {}, y = null, Z = !1, G = 0; - if (q) { - q.exportInfo && (q.exportInfo.qsharp && q.exportInfo.qsharp.replacement && (q.exportInfo.qsharp.replacement.params && (j = q.exportInfo.qsharp.replacement.params), q = h.getGateDef(q.exportInfo.qsharp.replacement.name)), y = q && q.exportInfo && q.exportInfo.qsharp ? q.exportInfo.qsharp : null), q.drawingInfo && q.drawingInfo.root && g.name != "cx" && g.name != "ccx" && (Z = !0); - var E = 0, W = ""; - if (j) { - var A = q.params || [], Y = A.length; - if (Y) - for (var $ = 0; $ < Y; $++) { - E > 0 && (W += ", "); - var C = A[$]; - if (j[C]) { - var K = x.parse(j[C]); - W += K.toString({ handler: p }); - } - E++; + qreg_name = "qubits", e || (h += d + "using(", h += qreg_name + " = Qubit[" + c.numQubits + "]", h += `) { +`, o++, d = l(o)); + for (var x = c.usedGates(), E = c.numCols(), D = 0; D < E; D++) + for (var A = 0; A < c.numQubits; A++) { + var M = c.getGateAt(D, A); + if (M && M.connector == 0) { + var _ = c.getGateDef(M.name); + _ || (_ = c.customGates[M.name]); + var O = M.options && M.options.params ? M.options.params : {}, T = null, I = !1, q = 0; + if (_) { + _.exportInfo && (_.exportInfo.qsharp && _.exportInfo.qsharp.replacement && (_.exportInfo.qsharp.replacement.params && (O = _.exportInfo.qsharp.replacement.params), _ = c.getGateDef(_.exportInfo.qsharp.replacement.name)), T = _ && _.exportInfo && _.exportInfo.qsharp ? _.exportInfo.qsharp : null), _.drawingInfo && _.drawingInfo.root && M.name != "cx" && M.name != "ccx" && (I = !0); + var $ = 0, U = ""; + if (O) { + var k = _.params || [], L = k.length; + if (L) + for (var R = 0; R < L; R++) { + $ > 0 && (U += ", "); + var G = k[R]; + if (O[G]) { + var P = Et(O[G]); + U += P.toString({ handler: u }); } - } - if (g.name == "measure") - g.options && g.options.creg ? (m += l + "set " + g.options.creg.name + " = SetBitValue(" + g.options.creg.name + ", " + g.options.creg.bit + ", ResultAsBool(M(", t ? m += Cr(g.wires[0], h.numQubits) + `))); -` : m += qreg_name + "[" + g.wires[0] + `]))); -`) : m += l + `// Export to qsharp WARNING: missing destination register + $++; + } + } + if (M.name == "measure") + M.options && M.options.creg ? (h += d + "set " + M.options.creg.name + " = SetBitValue(" + M.options.creg.name + ", " + M.options.creg.bit + ", ResultAsBool(M(", e ? h += Cr(M.wires[0], c.numQubits) + `))); +` : h += qreg_name + "[" + M.wires[0] + `]))); +`) : h += d + `// Export to qsharp WARNING: missing destination register `; - else { - m += l, g.options && g.options.condition && g.options.condition.creg && (m += "if(" + g.options.condition.creg + " == " + g.options.condition.value + `) { -`, o++, l = f(o), m += l), y ? m += y.name + "(" : m += g.name + "(", Z ? (t ? m += "[" + Cr(g.wires[0], h.numQubits) + "], (" : m += "[" + qreg_name + "[" + g.wires[0] + "]], (", G = 1) : G = 0, W && (m += W + ", "); - for (var c = 0, L = G; L < g.wires.length; L++) - c > 0 && (m += ", "), t ? m += Cr(g.wires[L], h.numQubits) : m += qreg_name + "[" + g.wires[L] + "]", c++; - Z && (m += ")"), m += `); -`, g.options && g.options.condition && g.options.condition.creg && (o--, l = f(o), m += l + `} + else { + h += d, M.options && M.options.condition && M.options.condition.creg && (h += "if(" + M.options.condition.creg + " == " + M.options.condition.value + `) { +`, o++, d = l(o), h += d), T ? h += T.name + "(" : h += M.name + "(", I ? (e ? h += "[" + Cr(M.wires[0], c.numQubits) + "], (" : h += "[" + qreg_name + "[" + M.wires[0] + "]], (", q = 1) : q = 0, U && (h += U + ", "); + for (var v = 0, W = q; W < M.wires.length; W++) + v > 0 && (h += ", "), e ? h += Cr(M.wires[W], c.numQubits) : h += qreg_name + "[" + M.wires[W] + "]", v++; + I && (h += ")"), h += `); +`, M.options && M.options.condition && M.options.condition.creg && (o--, d = l(o), h += d + `} `); - } } } } - if (t || (m += l + "ResetAll(" + qreg_name + `); -`, o--, l = f(o), m += l + `} -`), _ && (m += l + "return (" + S + `); -`), o--, l = f(o), m += l + `} -`, t ? m += ` -` : s || (m += `} -`), s) { - var pr = { - metadata: { - kernelspec: { - display_name: "Q#", - language: "qsharp", - name: "iqsharp" - }, - language_info: { - name: "" - } + } + if (e || (h += d + "ResetAll(" + qreg_name + `); +`, o--, d = l(o), h += d + `} +`), b && (h += d + "return (" + C + `); +`), o--, d = l(o), h += d + `} +`, e ? h += ` +` : a || (h += `} +`), a) { + var le = { + metadata: { + kernelspec: { + display_name: "Q#", + language: "qsharp", + name: "iqsharp" }, - nbformat: 4, - nbformat_minor: 0, - cells: [ - { - cell_type: "code", - source: m, - metadata: {}, - outputs: [], - execution_count: null - }, - { - cell_type: "code", - source: "%simulate " + v, - metadata: {}, - outputs: [], - execution_count: null - } - ] - }; - return JSON.stringify(pr); + language_info: { + name: "" + } + }, + nbformat: 4, + nbformat_minor: 0, + cells: [ + { + cell_type: "code", + source: h, + metadata: {}, + outputs: [], + execution_count: null + }, + { + cell_type: "code", + source: "%simulate " + f, + metadata: {}, + outputs: [], + execution_count: null + } + ] + }; + return JSON.stringify(le); + } + return h; +}; +ge.prototype.exportToBraket = function(t, e) { + t = t || {}, t.comment; + var r = t.decompose, n = t.versionStr, a = t.asJupyter, s = t.shots, o = t.hybrid, p = t.indentDepth, u = this; + s = s || 1024, typeof o > "u" && (o = this.options ? !!this.options.hybrid : !1); + var f = new ge(); + f.load(this.save(r)); + var l = function(de, ue) { + if (de.isSymbolNode) { + var ve = ["pi", "sin", "cos", "tan", "asin", "acos", "atan"]; + if (ve.indexOf(de.name) >= 0) + return "np." + de.name; + if (u.params.indexOf(de.name) >= 0 && o) + return "params[" + u.params.indexOf(de.name) + "]"; } - return m; - }; - b.prototype.exportToBraket = function(a, t) { - a = a || {}, a.comment; - var r = a.decompose, n = a.versionStr, s = a.asJupyter, e = a.shots, o = a.hybrid, u = a.indentDepth, p = this; - e = e || 1024, typeof o == "undefined" && (o = this.options ? !!this.options.hybrid : !1); - var v = new b(); - v.load(this.save(r)); - var f = function(N, X) { - if (N.isSymbolNode) { - var er = ["pi", "sin", "cos", "tan", "asin", "acos", "atan"]; - if (er.indexOf(N.name) >= 0) - return "np." + N.name; - if (p.params.indexOf(N.name) >= 0 && o) - return "params[" + p.params.indexOf(N.name) + "]"; - } - }, h = function(N, X) { - var er = "", D = N.split(` -`), tr = -1; - D.map(function(nr) { - var xr = nr.search(/\S/); - xr >= 0 && (tr < 0 || xr < tr) && (tr = xr); - }), tr < 0 && (tr = 0); - var H = ""; - if (tr < X.length) - for (var U = 0; U < X.length - tr; U++) - H += " "; - return D.map(function(nr) { - er += H + nr + ` + }, c = function(de, ue) { + var ve = "", he = de.split(` +`), Ne = -1; + he.map(function(V) { + var re = V.search(/\S/); + re >= 0 && (Ne < 0 || re < Ne) && (Ne = re); + }), Ne < 0 && (Ne = 0); + var we = ""; + if (Ne < ue.length) + for (var Se = 0; Se < ue.length - Ne; Se++) + we += " "; + return he.map(function(V) { + ve += we + V + ` `; - }), er; - }, m = function(N) { - for (var X = "", er = 0; er < N; er++) - X += " "; - return X; - }; - u = u || 0; - var l = "", d = m(u), c = v.usedGates(); - c.map(function(N) { - v.basicGates[N]; - }); - var T = "", _ = 0; - if (t) { - for (var S = 0; S < v.numQubits; S++) - _ > 0 && (T += ", "), T += Cr(S, v.numQubits), _++; - for (var S = 0; S < v.params.length; S++) - _ > 0 && (T += ", "), T += v.params[S], _++; - } else { - l += d + `import numpy as np -`, l += d + `from braket.devices import LocalSimulator -`, l += d + `from braket.circuits import Circuit -`, l += d + `from collections import Counter -`, o && (l += d + `from scipy.optimize import minimize -`), l += ` -`, e && (l += d + "shots = " + e + ` -`, l += ` + }), ve; + }, h = function(de) { + for (var ue = "", ve = 0; ve < de; ve++) + ue += " "; + return ue; + }; + p = p || 0; + var d = "", g = h(p), v = f.usedGates(); + v.map(function(de) { + f.basicGates[de]; + }); + var N = "", b = 0; + if (e) { + for (var C = 0; C < f.numQubits; C++) + b > 0 && (N += ", "), N += Cr(C, f.numQubits), b++; + for (var C = 0; C < f.params.length; C++) + b > 0 && (N += ", "), N += f.params[C], b++; + } else { + d += g + `import numpy as np +`, d += g + `from braket.devices import LocalSimulator +`, d += g + `from braket.circuits import Circuit +`, d += g + `from collections import Counter +`, o && (d += g + `from scipy.optimize import minimize +`), d += ` +`, s && (d += g + "shots = " + s + ` +`, d += ` `); - var O = this.options && this.options.params ? this.options.params : {}; - if (this.params.length) { - for (var S = 0; S < this.params.length; S++) { - var k = this.params[S], Q = x.parse(O[k]), R = Q.toString({ handler: f }); - l += k + " = " + R + ` -`; - } - l += ` + var x = this.options && this.options.params ? this.options.params : {}; + if (this.params.length) { + for (var C = 0; C < this.params.length; C++) { + var E = this.params[C], D = Et(x[E]), A = D.toString({ handler: l }); + d += E + " = " + A + ` `; } - o && (l += d + "tolerance = " + (this.options && this.options.hybridOptions && this.options.hybridOptions.tolerance && this.options.hybridOptions.tolerance || "0.001") + ` -`, l += ` -`); + d += ` +`; } - var g = null, q = null, j = 0; - c.map(function(N) { - var X = v.basicGates[N]; - if (X) { - if (!r && v.basicGates[N].exportInfo.braket && v.basicGates[N].exportInfo.braket.array) { - if (g = v.basicGates[N].exportInfo.braket, g.name == "unitary" && (q = N + "_unitary", l += d + "def " + q + "("), g.params && g.params.length) { - var er = 0; - g.params.map(function(H) { - er > 0 && (l += ", "), l += d + "p_" + H, er++; - }); - } - l += `): -`, l += m(u + 1) + "return np.array(" + g.array + `); + o && (d += g + "tolerance = " + (this.options && this.options.hybridOptions && this.options.hybridOptions.tolerance && this.options.hybridOptions.tolerance || "0.001") + ` +`, d += ` +`); + } + var M = null, _ = null, O = 0; + v.map(function(de) { + var ue = f.basicGates[de]; + if (ue) { + if (!r && f.basicGates[de].exportInfo.braket && f.basicGates[de].exportInfo.braket.array) { + if (M = f.basicGates[de].exportInfo.braket, M.name == "unitary" && (_ = de + "_unitary", d += g + "def " + _ + "("), M.params && M.params.length) { + var ve = 0; + M.params.map(function(we) { + ve > 0 && (d += ", "), d += g + "p_" + we, ve++; + }); + } + d += `): +`, d += h(p + 1) + "return np.array(" + M.array + `); `; - } - } else { - var D = p.customGates[N]; - if (D) { - var tr = new b(); - tr.load(D), l += tr.exportBraket("", !0, N, n, !1, null, !1, u), j++; - } - } - }), t ? (l += "def " + t + (T ? "(" + T + ")" : "") + `: -`, u++, d = m(u)) : o && (l += `def objective_function(params): -`, u++, d = m(u)), l += d + `circuit = Circuit() -`, t || j && (l += ` -`, c.map(function(N) { - !v.basicGates[N] && v.customGates[N] && (l += d + "circuit.register_subroutine(" + N + `) + } + } else { + var he = u.customGates[de]; + if (he) { + var Ne = new ge(); + Ne.load(he), d += Ne.exportBraket("", !0, de, n, !1, null, !1, p), O++; + } + } + }), e ? (d += "def " + e + (N ? "(" + N + ")" : "") + `: +`, p++, g = h(p)) : o && (d += `def objective_function(params): +`, p++, g = h(p)), d += g + `circuit = Circuit() +`, e || O && (d += ` +`, v.map(function(de) { + !f.basicGates[de] && f.customGates[de] && (d += g + "circuit.register_subroutine(" + de + `) `); - }), l += ` + }), d += ` `); - for (var y = v.numCols(), Z = 0; Z < y; Z++) - for (var G = 0; G < v.numQubits; G++) { - var E = v.getGateAt(Z, G); - if (E && E.connector == 0) { - var W = v.getGateDef(E.name), A = E.options && E.options.params ? E.options.params : {}, Y = W.params || [], $ = null, C = E.name, K = "", L = !1; - if (W && W.exportInfo && W.exportInfo.braket && ($ = W.exportInfo.braket, $.params && (Array.isArray($.params) ? Y = $.params : (A = $.params, Y = Object.keys(A))), $.name == "unitary" ? L = !0 : C = $.name), !$ && !v.customGates[E.name]) - l += d + '# Unsupported gate "' + E.name + `". + for (var T = f.numCols(), I = 0; I < T; I++) + for (var q = 0; q < f.numQubits; q++) { + var $ = f.getGateAt(I, q); + if ($ && $.connector == 0) { + var U = f.getGateDef($.name), k = $.options && $.options.params ? $.options.params : {}, L = U.params || [], R = null, G = $.name, P = "", W = !1; + if (U && U.exportInfo && U.exportInfo.braket && (R = U.exportInfo.braket, R.params && (Array.isArray(R.params) ? L = R.params : (k = R.params, L = Object.keys(k))), R.name == "unitary" ? W = !0 : G = R.name), !R && !f.customGates[$.name]) + d += g + '# Unsupported gate "' + $.name + `". `; - else { - var pr = 0; - if (A) { - var z = Y.length; - if (z) - for (var J = 0; J < z; J++) { - pr > 0 && (K += ", "); - var M = Y[J]; - if (typeof A[M] != "undefined") { - var Q = x.parse(A[M]); - K += Q.toString({ handler: f }); - } - pr++; + else { + var le = 0; + if (k) { + var Z = L.length; + if (Z) + for (var H = 0; H < Z; H++) { + le > 0 && (P += ", "); + var te = L[H]; + if (typeof k[te] < "u") { + var D = Et(k[te]); + P += D.toString({ handler: l }); } - } - l += d + "circuit.", L ? l += "unitary(matrix=" + C + "_unitary(" + K + "), targets=[" : l += C + "("; - var _ = 0; - for (w = 0; w < E.wires.length; w++) - _ > 0 && (l += ", "), t ? l += Cr(E.wires[w], v.numQubits) : l += E.wires[w], _++; - L ? l += "]" : K && (l += ", ", l += K), l += ")", l += ` -`; + le++; + } } + d += g + "circuit.", W ? d += "unitary(matrix=" + G + "_unitary(" + P + "), targets=[" : d += G + "("; + var b = 0; + for (w = 0; w < $.wires.length; w++) + b > 0 && (d += ", "), e ? d += Cr($.wires[w], f.numQubits) : d += $.wires[w], b++; + W ? d += "]" : P && (d += ", ", d += P), d += ")", d += ` +`; } } - if (t && (l += d + "return circuit"), l += ` + } + if (e && (d += g + "return circuit"), d += ` -`, !t) - if (l += d + `local_sim = LocalSimulator() -`, l += d + `result = local_sim.run(circuit, shots=shots).result() -`, l += d + `counts = Counter({ "".join(reversed(k)): v for k, v in result.measurement_counts.items() }) -`, l += ` +`, !e) + if (d += g + `local_sim = LocalSimulator() +`, d += g + `result = local_sim.run(circuit, shots=shots).result() +`, d += g + `counts = Counter({ "".join(reversed(k)): v for k, v in result.measurement_counts.items() }) +`, d += ` `, o) { - l += d + `# CALCULATE COST HERE + d += g + `# CALCULATE COST HERE `; - var V = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; - if (V.trim() || (V = "cost = 0"), l += h(V, d), l += ` -`, l += d + `return cost -`, u--, d = m(u), o) { - var I = ""; - this.params.map(function(N, X) { - X > 0 && (I += ", "), I += N; - }), l += ` -`, l += "params = np.array([" + I + `]) -`, l += ` -`, l += 'minimum = minimize(objective_function, params, method="' + (this.options && this.options.hybridOptions && this.options.hybridOptions.optimizer ? this.options.hybridOptions.optimizer : "Powell") + `", tol=tolerance) -`, l += `print("cost:", minimum.fun, "params:", minimum.x) + var be = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction && this.options.hybridOptions.costFunction.python || ""; + if (be.trim() || (be = "cost = 0"), d += c(be, g), d += ` +`, d += g + `return cost +`, p--, g = h(p), o) { + var K = ""; + this.params.map(function(de, ue) { + ue > 0 && (K += ", "), K += de; + }), d += ` +`, d += "params = np.array([" + K + `]) +`, d += ` +`, d += 'minimum = minimize(objective_function, params, method="' + (this.options && this.options.hybridOptions && this.options.hybridOptions.optimizer ? this.options.hybridOptions.optimizer : "Powell") + `", tol=tolerance) +`, d += `print("cost:", minimum.fun, "params:", minimum.x) `; + } + } else + d += g + "print(counts)"; + if (a) { + var ce = { + metadata: { + kernelspec: { + display_name: "Python 3", + language: "python", + name: "python3" } - } else - l += d + "print(counts)"; - if (s) { - var F = { - metadata: { - kernelspec: { - display_name: "Python 3", - language: "python", - name: "python3" - } - }, - nbformat: 4, - nbformat_minor: 0, - cells: [ - { - cell_type: "code", - source: l, - metadata: {}, - outputs: [], - execution_count: null - } - ] - }; - return JSON.stringify(F); + }, + nbformat: 4, + nbformat_minor: 0, + cells: [ + { + cell_type: "code", + source: d, + metadata: {}, + outputs: [], + execution_count: null + } + ] + }; + return JSON.stringify(ce); + } + return d; +}; +ge.prototype.exportToQobj = function(t, e) { + t = t || {}; + var r = t.circuitName, n = t.experimentName, a = t.numShots, s = this, o = this.options && this.options.params ? this.options.params : {}, o = JSON.parse(JSON.stringify(o)); + for (var p in o) + o[p] = Br(o[p]); + r = r || "", n = n || "", a = a || 1; + var u = new ge(); + u.load(this.save(!0)); + var f = this.randomString(), l = { qobj_id: "qobj_" + f, type: "QASM", schema_version: "1.0", experiments: [], header: { description: r }, config: { shots: a, memory_slots: 0 } }, c = { header: { memory_slots: 0, n_qubits: 0, qreg_sizes: [], qubit_labels: [], creg_sizes: [], clbit_labels: [], name: "circuit0" }, config: { n_qubits: 0, memory_slots: 0 }, instructions: [] }, h = Object.keys(u.cregs), d = function(K, ce) { + if (K.isSymbolNode) { + var de = K.name; + if (ce.replaceVars && typeof ce.replaceVars[de] < "u") { + var de = ce.replaceVars[de]; + return s.params.indexOf(de) >= 0 ? "(" + o[de] + ")" : "(" + de + ")"; + } + if (s.params.indexOf(K.name) >= 0) + return o[K.name]; } - return l; }; - b.prototype.exportToQobj = function(a, t) { - a = a || {}; - var r = a.circuitName, n = a.experimentName, s = a.numShots, e = this, o = this.options && this.options.params ? this.options.params : {}, o = JSON.parse(JSON.stringify(o)); - for (var u in o) - o[u] = x.evaluate(o[u]); - r = r || "", n = n || "", s = s || 1; - var p = new b(); - p.load(this.save(!0)); - var v = this.randomString(), f = { qobj_id: "qobj_" + v, type: "QASM", schema_version: "1.0", experiments: [], header: { description: r }, config: { shots: s, memory_slots: 0 } }, h = { header: { memory_slots: 0, n_qubits: 0, qreg_sizes: [], qubit_labels: [], creg_sizes: [], clbit_labels: [], name: "circuit0" }, config: { n_qubits: 0, memory_slots: 0 }, instructions: [] }, m = Object.keys(p.cregs), l = function(I, F) { - if (I.isSymbolNode) { - var N = I.name; - if (F.replaceVars && typeof F.replaceVars[N] != "undefined") { - var N = F.replaceVars[N]; - return e.params.indexOf(N) >= 0 ? "(" + o[N] + ")" : "(" + N + ")"; - } - if (e.params.indexOf(I.name) >= 0) - return o[I.name]; + if (!e) { + n && (c.header.description = n); + for (cregName in u.cregs) { + var g = u.cregs[cregName].length; + l.config.memory_slots += g, c.header.creg_sizes.push([cregName, g]); + for (var v = 0; v < g; v++) + c.header.clbit_labels.push([cregName, v]); + } + c.header.memory_slots = l.config.memory_slots, c.header.n_qubits = u.numQubits, c.config.memory_slots = l.config.memory_slots, c.config.n_qubits = u.numQubits, c.header.qreg_sizes.push(["q", u.numQubits]); + } + var N = l.config.memory_slots, b = u.usedGates(); + b.map(function(K) { + var ce = u.basicGates[K]; + if (!ce) { + var de = s.customGates[K]; + if (de) { + customCircuit = new ge(), customCircuit.load(de); + var ue = { + circuitName: r, + experimentName: n, + numShots: a + }; + l += customCircuit.exportToQobj(ue, !1); } - }; - if (!t) { - n && (h.header.description = n); - for (cregName in p.cregs) { - var d = p.cregs[cregName].length; - f.config.memory_slots += d, h.header.creg_sizes.push([cregName, d]); - for (var c = 0; c < d; c++) - h.header.clbit_labels.push([cregName, c]); - } - h.header.memory_slots = f.config.memory_slots, h.header.n_qubits = p.numQubits, h.config.memory_slots = f.config.memory_slots, h.config.n_qubits = p.numQubits, h.header.qreg_sizes.push(["q", p.numQubits]); - } - var T = f.config.memory_slots, _ = p.usedGates(); - _.map(function(I) { - var F = p.basicGates[I]; - if (!F) { - var N = e.customGates[I]; - if (N) { - customCircuit = new b(), customCircuit.load(N); - var X = { - circuitName: r, - experimentName: n, - numShots: s + } + }); + for (var C = u.numCols(), x = 0; x < C; x++) + for (var E = 0; E < u.numQubits; E++) { + var D = u.getGateAt(x, E), A = { name: "", qubits: [] }, M = null, _ = null; + if (x == 0 && c.header.qubit_labels.push(["q", E]), D && D.connector == 0) { + var O = u.getGateDef(D.name); + if (O && O.exportInfo && (O.exportInfo.qasm && O.exportInfo.qasm.replacement ? (M = O.exportInfo.qasm.replacement, M.map(function(K) { + var ce = new ge(); + if (ce.cregs = JSON.parse(JSON.stringify(s.cregs)), D.options && D.options.params) { + var de = Object.keys(D.options.params), ue = Object.keys(K.params); + de.map(function(Ne) { + ue.indexOf(Ne) > -1 && (K.params[Ne] = D.options.params[Ne]); + }); + } + var ve = D.options && D.options.condition ? D.options.condition : {}; + ce.addGate(K.name, x, D.wires, { params: K.params, condition: ve }); + var he = { + circuitName: "", + experimentName: "", + numShots: "" }; - f += customCircuit.exportToQobj(X, !1); - } - } - }); - for (var S = p.numCols(), O = 0; O < S; O++) - for (var k = 0; k < p.numQubits; k++) { - var Q = p.getGateAt(O, k), R = { name: "", qubits: [] }, g = null, q = null; - if (O == 0 && h.header.qubit_labels.push(["q", k]), Q && Q.connector == 0) { - var j = p.getGateDef(Q.name); - if (j && j.exportInfo && (j.exportInfo.qasm && j.exportInfo.qasm.replacement ? (g = j.exportInfo.qasm.replacement, g.map(function(I) { - var F = new b(); - if (F.cregs = JSON.parse(JSON.stringify(e.cregs)), Q.options && Q.options.params) { - var N = Object.keys(Q.options.params), X = Object.keys(I.params); - N.map(function(tr) { - X.indexOf(tr) > -1 && (I.params[tr] = Q.options.params[tr]); - }); - } - var er = Q.options && Q.options.condition ? Q.options.condition : {}; - F.addGate(I.name, O, Q.wires, { params: I.params, condition: er }); - var D = { - circuitName: "", - experimentName: "", - numShots: "" - }; - h.instructions = h.instructions.concat(F.exportToQobj(D, !0)); - })) : j.exportInfo.qasm && j.exportInfo.qasm.equivalent && (q = j.exportInfo.qasm.equivalent, q.map(function(I) { - var F = new b(); - F.cregs = JSON.parse(JSON.stringify(e.cregs)); - var N = I.wires.length > 1 ? Q.wires : Q.wires[I.wires[0]], X = {}; - if (I.params) { - var er = {}; - if (Q.options && Q.options.params) - for (var D in Q.options.params) { - var tr = x.parse(Q.options.params[D]), H = tr.toString({ handler: l }); - er[D] = H; - } - for (var U in I.params) { - var tr = x.parse(I.params[U]), H = tr.toString({ handler: l, replaceVars: er }); - X[U] = H; + c.instructions = c.instructions.concat(ce.exportToQobj(he, !0)); + })) : O.exportInfo.qasm && O.exportInfo.qasm.equivalent && (_ = O.exportInfo.qasm.equivalent, _.map(function(K) { + var ce = new ge(); + ce.cregs = JSON.parse(JSON.stringify(s.cregs)); + var de = K.wires.length > 1 ? D.wires : D.wires[K.wires[0]], ue = {}; + if (K.params) { + var ve = {}; + if (D.options && D.options.params) + for (var he in D.options.params) { + var Ne = Et(D.options.params[he]), we = Ne.toString({ handler: d }); + ve[he] = we; } + for (var Se in K.params) { + var Ne = Et(K.params[Se]), we = Ne.toString({ handler: d, replaceVars: ve }); + ue[Se] = we; } - var nr = Q.options && Q.options.condition ? Q.options.condition : {}; - F.addGate(I.name, O, N, { params: X, condition: nr }); - var xr = { - circuitName: "", - experimentName: "", - numShots: "" - }; - h.instructions = h.instructions.concat(F.exportToQobj(xr, !0)); - }))), !g && !q) { - var y = Q.name, Z = Q.options && Q.options.params ? Q.options.params : {}; - if (this.basicGates[y]) { - switch (y) { - case "id": - y = "iden"; - break; - } - if (R.name = y, R.qubits = Q.wires, Q.options && Q.options.condition && Q.options.condition.creg) { - for (var G = { name: "", register: T, relation: "==", mask: "", val: "" }, E = p.cregs[Q.options.condition.creg].length, W = 0, A = 0, Y = "", $ = "", C = m.indexOf(Q.options.condition.creg), c = 0; c < C; c++) - W += p.cregs[m[c]].length; - var K = Q.options.condition.value % Math.pow(2, E) * Math.pow(2, W); - if ($ = "0x" + K.toString(16).toUpperCase(), W > 0) { - for (var L = Math.pow(2, W), pr = 0; pr < E; pr++) - A += L, L *= 2; - Y = "0x" + A.toString(16).toUpperCase(); - } else - Y = "0x" + (Math.pow(2, E) - 1).toString(16).toUpperCase(); - G.name = "bfunc", R.conditional = T, G.mask = Y, G.val = $, h.instructions.push(G), T += 1; - } - if (y == "measure" && Q.options && Q.options.creg) { - R.memory = [], R.register = []; - for (var z = 0, C = m.indexOf(Q.options.creg.name), c = 0; c < C; c++) - z += p.cregs[m[c]].length; - var J = z + Q.options.creg.bit; - R.memory.push(J), R.register.push(J); - } - if (Z && (j = this.basicGates[y], j || (j = this.customGates[y]), j && (paramDef = j.params || [], paramCount = paramDef.length, paramCount))) { - R.params = []; - for (var M = 0; M < paramCount; M++) - if (paramName = paramDef[M], Z[paramName] || Z[paramName].toString()) { - var V = x.evaluate(Z[paramName], o); - R.params.push(V); - } - } - h.instructions.push(R); + } + var V = D.options && D.options.condition ? D.options.condition : {}; + ce.addGate(K.name, x, de, { params: ue, condition: V }); + var re = { + circuitName: "", + experimentName: "", + numShots: "" + }; + c.instructions = c.instructions.concat(ce.exportToQobj(re, !0)); + }))), !M && !_) { + var T = D.name, I = D.options && D.options.params ? D.options.params : {}; + if (this.basicGates[T]) { + switch (T) { + case "id": + T = "iden"; + break; } + if (A.name = T, A.qubits = D.wires, D.options && D.options.condition && D.options.condition.creg) { + for (var q = { name: "", register: N, relation: "==", mask: "", val: "" }, $ = u.cregs[D.options.condition.creg].length, U = 0, k = 0, L = "", R = "", G = h.indexOf(D.options.condition.creg), v = 0; v < G; v++) + U += u.cregs[h[v]].length; + var P = D.options.condition.value % Math.pow(2, $) * Math.pow(2, U); + if (R = "0x" + P.toString(16).toUpperCase(), U > 0) { + for (var W = Math.pow(2, U), le = 0; le < $; le++) + k += W, W *= 2; + L = "0x" + k.toString(16).toUpperCase(); + } else + L = "0x" + (Math.pow(2, $) - 1).toString(16).toUpperCase(); + q.name = "bfunc", A.conditional = N, q.mask = L, q.val = R, c.instructions.push(q), N += 1; + } + if (T == "measure" && D.options && D.options.creg) { + A.memory = [], A.register = []; + for (var Z = 0, G = h.indexOf(D.options.creg.name), v = 0; v < G; v++) + Z += u.cregs[h[v]].length; + var H = Z + D.options.creg.bit; + A.memory.push(H), A.register.push(H); + } + if (I && (O = this.basicGates[T], O || (O = this.customGates[T]), O && (paramDef = O.params || [], paramCount = paramDef.length, paramCount))) { + A.params = []; + for (var te = 0; te < paramCount; te++) + if (paramName = paramDef[te], I[paramName] || I[paramName].toString()) { + var be = Br(I[paramName], o); + A.params.push(be); + } + } + c.instructions.push(A); } } } - return t ? h.instructions : (h.instructions.length && f.experiments.push(h), f); - }; - b.prototype.clearPartitions = function() { - this.partitionMap = [], this.partitionCount = 0, this.partitionInfo = {}; - for (var a = this.numCols(), t = 0; t < this.numQubits; t++) { - this.partitionMap.push([]); - for (var r = 0; r < a; r++) - this.partitionMap[t].push(-1); } - }; - b.prototype.createPartitions = function() { - this.clearPartitions(); - for (var a = [], t = 0; t < this.numQubits; t++) - a.push(-1); - for (var r = 0, n = this.numCols(), s = 0; s < n; s++) { - for (var e = 0; e < this.numQubits; e++) { - var o = this.getGateAt(s, e); - if (o && o.wires) { - for (var u = [], p = 0; p < o.wires.length; p++) { - var v = o.wires[p], f = a[v]; - u.indexOf(f) < 0 && u.push(f); - } - var h = -1; - u.length != 1 || u[0] == -1 ? h = r++ : h = u[0]; - for (var p = 0; p < o.wires.length; p++) { - var v = o.wires[p]; - if (oldPartition = a[v], oldPartition == -1) - a[v] = h; - else - for (var t = 0; t < this.numQubits; t++) - a[t] == oldPartition && (a[t] = h); - } + return e ? c.instructions : (c.instructions.length && l.experiments.push(c), l); +}; +ge.prototype.clearPartitions = function() { + this.partitionMap = [], this.partitionCount = 0, this.partitionInfo = {}; + for (var t = this.numCols(), e = 0; e < this.numQubits; e++) { + this.partitionMap.push([]); + for (var r = 0; r < t; r++) + this.partitionMap[e].push(-1); + } +}; +ge.prototype.createPartitions = function() { + this.clearPartitions(); + for (var t = [], e = 0; e < this.numQubits; e++) + t.push(-1); + for (var r = 0, n = this.numCols(), a = 0; a < n; a++) { + for (var s = 0; s < this.numQubits; s++) { + var o = this.getGateAt(a, s); + if (o && o.wires) { + for (var p = [], u = 0; u < o.wires.length; u++) { + var f = o.wires[u], l = t[f]; + p.indexOf(l) < 0 && p.push(l); + } + var c = -1; + p.length != 1 || p[0] == -1 ? c = r++ : c = p[0]; + for (var u = 0; u < o.wires.length; u++) { + var f = o.wires[u]; + if (oldPartition = t[f], oldPartition == -1) + t[f] = c; + else + for (var e = 0; e < this.numQubits; e++) + t[e] == oldPartition && (t[e] = c); } } - for (var e = 0; e < this.numQubits; e++) - this.partitionMap[e][s] = a[e]; } - this.partitionCount = r; - for (var h = 0; h < r; h++) - this.partitionInfo[h] = this.partitionBounds(h); - }; - b.prototype.printPartitions = function() { - for (var a = this.numCols(), t = 0; t < this.numQubits; t++) { - for (var r = "", n = 0; n < a; n++) { - var s = this.partitionMap[t][n]; - for (s == -1 && (s = " "), this.getGateAt(n, t) ? s = s + "*" : s = s + " "; s.length < 4; ) - s = " " + s; - r += s; - } - for (var e = t + ""; e.length < 2; ) - e = "0" + e; - r = "q" + e + r, console.log(r); + for (var s = 0; s < this.numQubits; s++) + this.partitionMap[s][a] = t[s]; + } + this.partitionCount = r; + for (var c = 0; c < r; c++) + this.partitionInfo[c] = this.partitionBounds(c); +}; +ge.prototype.printPartitions = function() { + for (var t = this.numCols(), e = 0; e < this.numQubits; e++) { + for (var r = "", n = 0; n < t; n++) { + var a = this.partitionMap[e][n]; + for (a == -1 && (a = " "), this.getGateAt(n, e) ? a = a + "*" : a = a + " "; a.length < 4; ) + a = " " + a; + r += a; } - }; - b.prototype.partitionBounds = function(a) { - for (var t = { - wire: { - top: -1, - bottom: -1 - }, - column: { - left: -1, - right: -1 - }, - wireMap: {}, - parents: {} - }, r = !1, n = this.numCols(), s = 0; s < n; s++) - for (var e = 0; e < this.numQubits; e++) { - var o = this.partitionMap[e][s]; - o == a && (r = !0, t.wire.top < 0 && (t.wire.top = e), t.wire.bottom < e && (t.wire.bottom = e), t.column.left < 0 && (t.column.left = s), t.column.right < s && (t.column.right = s)); - } - if (!r) - return null; - for (var u = 0, e = t.wire.top; e <= t.wire.bottom; e++) { - var o = this.partitionMap[e][t.column.left]; - o == a && (t.wireMap[e] = u, u++); + for (var s = e + ""; s.length < 2; ) + s = "0" + s; + r = "q" + s + r, console.log(r); + } +}; +ge.prototype.partitionBounds = function(t) { + for (var e = { + wire: { + top: -1, + bottom: -1 + }, + column: { + left: -1, + right: -1 + }, + wireMap: {}, + parents: {} + }, r = !1, n = this.numCols(), a = 0; a < n; a++) + for (var s = 0; s < this.numQubits; s++) { + var o = this.partitionMap[s][a]; + o == t && (r = !0, e.wire.top < 0 && (e.wire.top = s), e.wire.bottom < s && (e.wire.bottom = s), e.column.left < 0 && (e.column.left = a), e.column.right < a && (e.column.right = a)); } - if (t.numQubits = u, t.column.left > 0) - for (var e in t.wireMap) { - var p = this.partitionMap[e][t.column.left - 1]; - if (p >= 0) { - t.parents[p] || (t.parents[p] = {}, t.parents[p].links = []); - var v = this.partitionInfo[p]; - for (var f in v.wireMap) - f == e && t.parents[p].links.push(t.wireMap[e]); - } + if (!r) + return null; + for (var p = 0, s = e.wire.top; s <= e.wire.bottom; s++) { + var o = this.partitionMap[s][e.column.left]; + o == t && (e.wireMap[s] = p, p++); + } + if (e.numQubits = p, e.column.left > 0) + for (var s in e.wireMap) { + var u = this.partitionMap[s][e.column.left - 1]; + if (u >= 0) { + e.parents[u] || (e.parents[u] = {}, e.parents[u].links = []); + var f = this.partitionInfo[u]; + for (var l in f.wireMap) + l == s && e.parents[u].links.push(e.wireMap[s]); } - return t; - }; - b.prototype.partitionCircuit = function(a) { - var t = this.partitionInfo[a]; - if (!t) - return null; - var r = [], n = []; - for (var s in t.parents) { - var e = {}; - e.circuit = this.partitionCache[s], e.wires = [], e.wires = t.parents[s].links, n = n.concat(e.wires), r.push(e); - } - var o = new b(); - if (r.length > 0) { - if (t.numQubits > n.length) { - var e = {}; - e.circuit = new b(t.numQubits - n.length), e.wires = []; - for (var u = 0; u < t.numQubits; u++) - n.indexOf(u) < 0 && e.wires.push(u); - r.push(e); - } - o.setCombinedState(r); - } - for (var p = t.column.left; p <= t.column.right; p++) - for (var v = t.wire.top; v <= t.wire.bottom; v++) { - var f = this.partitionMap[v][p]; - if (f == a) { - var h = this.getGateAt(p, v); - if (h && h.connector == 0) { - for (var m = [], l = 0; l < h.wires.length; l++) { - var d = h.wires[l]; - m.push(t.wireMap[d]); - } - o.addGate(h.name, p - t.column.left, m, h.options); + } + return e; +}; +ge.prototype.partitionCircuit = function(t) { + var e = this.partitionInfo[t]; + if (!e) + return null; + var r = [], n = []; + for (var a in e.parents) { + var s = {}; + s.circuit = this.partitionCache[a], s.wires = [], s.wires = e.parents[a].links, n = n.concat(s.wires), r.push(s); + } + var o = new ge(); + if (r.length > 0) { + if (e.numQubits > n.length) { + var s = {}; + s.circuit = new ge(e.numQubits - n.length), s.wires = []; + for (var p = 0; p < e.numQubits; p++) + n.indexOf(p) < 0 && s.wires.push(p); + r.push(s); + } + o.setCombinedState(r); + } + for (var u = e.column.left; u <= e.column.right; u++) + for (var f = e.wire.top; f <= e.wire.bottom; f++) { + var l = this.partitionMap[f][u]; + if (l == t) { + var c = this.getGateAt(u, f); + if (c && c.connector == 0) { + for (var h = [], d = 0; d < c.wires.length; d++) { + var g = c.wires[d]; + h.push(e.wireMap[g]); } + o.addGate(c.name, u - e.column.left, h, c.options); } } - return o; - }; - b.prototype.run = function(a, t) { - if (t = t || {}, this.measureResetsQubit = !!t.strictMode, t.continue || (this.initState(), this.stats.duration = 0), t.initialState) { - if (Array.isArray(t.initialState)) { - this.state = {}; - for (var r = 0; r < t.initialState.length; r++) { - var n = t.initialState[r]; - Array.isArray(n) && n.length == 2 && (n = x.complex(n[0], n[1])), typeof n == "string" && (n = this.evalMathString(n)), typeof n == "number" && (n = x.complex(n, 0)), this.state[r + ""] = n; - } - } else - this.state = t.initialState; - this.stateBits = 0; - for (var s in this.state) - this.stateBits |= parseInt(s); - } - this.stats.start = /* @__PURE__ */ new Date(); - var e = new b(); - if (e.load(this.save(!0)), a) { - e.insertColumn(0); - for (var o = 0; o < e.numQubits; o++) - a[o] && e.addGate("x", 0, o, {}); - } - var u = t.partitioning; - u && e.createPartitions(); - for (var p = e.numCols(), v = 0, f = 0; f < p; f++) { - for (var o = 0; o < e.numQubits; o++) { - var h = e.getGateAt(f, o); - if (h && h.connector == 0) { - v++; - var m = !0; - if (h.options && h.options.condition && h.options.condition.creg) { - var l = this.getCregValue(h.options.condition.creg); - m = l === h.options.condition.value; - } - if (m) - if (u) { - var d = e.partitionMap[o][f]; - e.partitionCache[d] || (e.partitionCache[d] = e.partitionCircuit(d)); - var c = e.partitionCache[d], T = e.partitionInfo[d], _ = f - T.column.left, S = c.getGateAt(_, T.wireMap[o]); - c.cregs = JSON.parse(JSON.stringify(this.cregs)), c.applyGate(S.name, _, S.wires, S.options), this.cregs = JSON.parse(JSON.stringify(c.cregs)); - } else - this.applyGate(h.name, f, h.wires, h.options); - t && t.onGate && t.onGate(f, o, v); - } - } - t && t.onColumn && t.onColumn(f); } - if (u) { - for (var O = [], o = 0; o < e.numQubits; o++) { - var d = e.partitionMap[o][p - 1]; - d >= 0 && O.indexOf(d) < 0 && O.push(d); + return o; +}; +ge.prototype.run = function(t, e) { + if (e = e || {}, this.measureResetsQubit = !!e.strictMode, e.continue || (this.initState(), this.stats.duration = 0), e.initialState) { + if (Array.isArray(e.initialState)) { + this.state = {}; + for (var r = 0; r < e.initialState.length; r++) { + var n = e.initialState[r]; + Array.isArray(n) && n.length == 2 && (n = Wt(n[0], n[1])), typeof n == "string" && (n = this.evalMathString(n)), typeof n == "number" && (n = Wt(n, 0)), this.state[r + ""] = n; } - if (O.length) - if (O.length == 1) - this.state = e.partitionCache[O[0]].state, this.stateBits = e.partitionCache[O[0]].stateBits; - else { - for (var k = this.stats.start, Q = [], R = 0; R < O.length; R++) { - var g = O[R], q = {}; - q.circuit = e.partitionCache[g], q.wires = []; - var j = e.partitionInfo[g]; - for (var o in j.wireMap) - q.wires.push(parseInt(o)); - Q.push(q); - } - this.setCombinedState(Q), this.stats.start = k; + } else + this.state = e.initialState; + this.stateBits = 0; + for (var a in this.state) + this.stateBits |= parseInt(a); + } + this.stats.start = /* @__PURE__ */ new Date(); + var s = new ge(); + if (s.load(this.save(!0)), t) { + s.insertColumn(0); + for (var o = 0; o < s.numQubits; o++) + t[o] && s.addGate("x", 0, o, {}); + } + var p = e.partitioning; + p && s.createPartitions(); + for (var u = s.numCols(), f = 0, l = 0; l < u; l++) { + for (var o = 0; o < s.numQubits; o++) { + var c = s.getGateAt(l, o); + if (c && c.connector == 0) { + f++; + var h = !0; + if (c.options && c.options.condition && c.options.condition.creg) { + var d = this.getCregValue(c.options.condition.creg); + h = d === c.options.condition.value; } + if (h) + if (p) { + var g = s.partitionMap[o][l]; + s.partitionCache[g] || (s.partitionCache[g] = s.partitionCircuit(g)); + var v = s.partitionCache[g], N = s.partitionInfo[g], b = l - N.column.left, C = v.getGateAt(b, N.wireMap[o]); + v.cregs = JSON.parse(JSON.stringify(this.cregs)), v.applyGate(C.name, b, C.wires, C.options), this.cregs = JSON.parse(JSON.stringify(v.cregs)); + } else + this.applyGate(c.name, l, c.wires, c.options); + e && e.onGate && e.onGate(l, o, f); + } } - this.stats.end = /* @__PURE__ */ new Date(), this.stats.duration += this.stats.end - this.stats.start; - }; - b.prototype.continue = function() { - this.run(null, { - continue: !0 - }); - }; - b.prototype.stateAsArray = function(a, t, r, n) { - var s = [], e = this.numAmplitudes(); - t = t || 0, r = r || (a ? this.numAmplitudes(a) : e); - for (var o = 0, u = 0; u < e; u++) { - var p = u; - n && (p = rt(u, this.numQubits)); - var v = x.round(this.state[p] || x.complex(0, 0), 14); - if (!a || v.re || v.im) { - if (o >= t) { - for (var f = u.toString(2); f.length < this.numQubits; ) - f = "0" + f; - var h = this.formatComplex(v, { fixedWidth: !0, decimalPlaces: 8, iotaChar: "i" }), m = x.pow(x.abs(v), 2), l = m * 100, d = l.toFixed(5), c = x.arg(v), T = c.toFixed(5); - s.push({ - index: u, - indexBinStr: f, - amplitude: v, - amplitudeStr: h, - magnitude: m, - chance: l, - chanceStr: d, - phase: c, - phaseStr: T - }); + e && e.onColumn && e.onColumn(l); + } + if (p) { + for (var x = [], o = 0; o < s.numQubits; o++) { + var g = s.partitionMap[o][u - 1]; + g >= 0 && x.indexOf(g) < 0 && x.push(g); + } + if (x.length) + if (x.length == 1) + this.state = s.partitionCache[x[0]].state, this.stateBits = s.partitionCache[x[0]].stateBits; + else { + for (var E = this.stats.start, D = [], A = 0; A < x.length; A++) { + var M = x[A], _ = {}; + _.circuit = s.partitionCache[M], _.wires = []; + var O = s.partitionInfo[M]; + for (var o in O.wireMap) + _.wires.push(parseInt(o)); + D.push(_); } - if (o++, s.length == r) - return s; + this.setCombinedState(D), this.stats.start = E; } + } + this.stats.end = /* @__PURE__ */ new Date(), this.stats.duration += this.stats.end - this.stats.start; +}; +ge.prototype.continue = function() { + this.run(null, { + continue: !0 + }); +}; +ge.prototype.stateAsArray = function(t, e, r, n) { + var a = [], s = this.numAmplitudes(); + e = e || 0, r = r || (t ? this.numAmplitudes(t) : s); + for (var o = 0, p = 0; p < s; p++) { + var u = p; + n && (u = _S(p, this.numQubits)); + var f = kt(this.state[u] || Wt(0, 0), 14); + if (!t || f.re || f.im) { + if (o >= e) { + for (var l = p.toString(2); l.length < this.numQubits; ) + l = "0" + l; + var c = this.formatComplex(f, { fixedWidth: !0, decimalPlaces: 8, iotaChar: "i" }), h = _t($t(f), 2), d = h * 100, g = d.toFixed(5), v = Rs(f), N = v.toFixed(5); + a.push({ + index: p, + indexBinStr: l, + amplitude: f, + amplitudeStr: c, + magnitude: h, + chance: d, + chanceStr: g, + phase: v, + phaseStr: N + }); + } + if (o++, a.length == r) + return a; } - return s; - }; - b.prototype.stateAsSimpleArray = function(a) { - var t = this.numAmplitudes(); - if (!this.state) - return []; - for (var r = [], n = 0; n < t; n++) { - var s = n; - a && (s = rt(n, this.numQubits)), r.push(x.round(this.state[s] || x.complex(0, 0), 14)); - } - return r; - }; - b.prototype.stateAsString = function(a) { - var t = this.numAmplitudes(); - if (!this.state) - return "Error: circuit is not initialized. Please call initState() or run() method."; - for (var r = "", n = 0; n < t; n++) { - var s = x.round(this.state[n] || x.complex(0, 0), 14); - if (!a || s.re || s.im) { - for (var e = x.pow(x.abs(s), 2) * 100, o = n.toString(2); o.length < this.numQubits; ) - o = "0" + o; - for (var u = e.toFixed(5); u.length < 9; ) - u = " " + u; - r += this.formatComplex(s, { fixedWidth: !0, decimalPlaces: 8, iotaChar: "i" }) + "|" + o + "> " + u + `% + } + return a; +}; +ge.prototype.stateAsSimpleArray = function(t) { + var e = this.numAmplitudes(); + if (!this.state) + return []; + for (var r = [], n = 0; n < e; n++) { + var a = n; + t && (a = _S(n, this.numQubits)), r.push(kt(this.state[a] || Wt(0, 0), 14)); + } + return r; +}; +ge.prototype.stateAsString = function(t) { + var e = this.numAmplitudes(); + if (!this.state) + return "Error: circuit is not initialized. Please call initState() or run() method."; + for (var r = "", n = 0; n < e; n++) { + var a = kt(this.state[n] || Wt(0, 0), 14); + if (!t || a.re || a.im) { + for (var s = _t($t(a), 2) * 100, o = n.toString(2); o.length < this.numQubits; ) + o = "0" + o; + for (var p = s.toFixed(5); p.length < 9; ) + p = " " + p; + r += this.formatComplex(a, { fixedWidth: !0, decimalPlaces: 8, iotaChar: "i" }) + "|" + o + "> " + p + `% `; - } } - return r; - }; - b.prototype.print = function(a) { - console.log(this.stateAsString(a)); - }; - b.prototype.gotClassicalControl = function() { - for (var a = 0; a < this.numCols(); a++) - for (var t = 0; t < this.numQubits; t++) { - var r = this.getGateAt(a, t); - if (r && r.connector == 0 && r.options && r.options.condition && r.options.condition.creg) - return !0; - } - return !1; - }; - b.prototype.gotMeasurement = function() { - for (var a = 0; a < this.numCols(); a++) - for (var t = 0; t < this.numQubits; t++) { - var r = this.getGateAt(a, t); - if (r && r.connector == 0 && r.name == "measure") - return !0; - } - return !1; - }; - b.prototype.cregCount = function() { - var a = 0; - for (var t in this.cregs) - a++; - return a; - }; - b.prototype.getCregs = function() { - var a = {}; - for (var t in this.cregs) - a[t] = this.getCregValue(t); - return a; - }; - b.prototype.cregsAsString = function() { - var a = `reg bin dec + } + return r; +}; +ge.prototype.print = function(t) { + console.log(this.stateAsString(t)); +}; +ge.prototype.gotClassicalControl = function() { + for (var t = 0; t < this.numCols(); t++) + for (var e = 0; e < this.numQubits; e++) { + var r = this.getGateAt(t, e); + if (r && r.connector == 0 && r.options && r.options.condition && r.options.condition.creg) + return !0; + } + return !1; +}; +ge.prototype.gotMeasurement = function() { + for (var t = 0; t < this.numCols(); t++) + for (var e = 0; e < this.numQubits; e++) { + var r = this.getGateAt(t, e); + if (r && r.connector == 0 && r.name == "measure") + return !0; + } + return !1; +}; +ge.prototype.cregCount = function() { + var t = 0; + for (var e in this.cregs) + t++; + return t; +}; +ge.prototype.getCregs = function() { + var t = {}; + for (var e in this.cregs) + t[e] = this.getCregValue(e); + return t; +}; +ge.prototype.cregsAsString = function() { + var t = `reg bin dec `; - for (var t in this.cregs) { - for (var r = this.getCregValue(t), n = r.toString(2), s = this.cregs[t] && this.cregs[t].length || 1; n.length < s; ) - n = "0" + n; - a += t + " " + n + " " + r + ` + for (var e in this.cregs) { + for (var r = this.getCregValue(e), n = r.toString(2), a = this.cregs[e] && this.cregs[e].length || 1; n.length < a; ) + n = "0" + n; + t += e + " " + n + " " + r + ` `; + } + return t; +}; +ge.prototype.createCreg = function(t, e) { + for (this.cregs[t] = []; this.cregs[t].length < (e || 1); ) + this.cregs[t].push(0); +}; +ge.prototype.removeCreg = function(t) { + for (var e = this.numCols(), r = [], n = 0; n < e; n++) + for (var a = 0; a < this.numQubits; a++) { + var s = this.gates[a][n]; + s && s.options && (s.options.creg && s.options.creg.name && s.options.creg.name == t && r.indexOf(s.id) < 0 && r.push(s.id), s.options.condition && s.options.condition.creg && s.options.condition.creg == t && delete s.options.condition); } - return a; - }; - b.prototype.createCreg = function(a, t) { - for (this.cregs[a] = []; this.cregs[a].length < (t || 1); ) - this.cregs[a].push(0); - }; - b.prototype.removeCreg = function(a) { - for (var t = this.numCols(), r = [], n = 0; n < t; n++) - for (var s = 0; s < this.numQubits; s++) { - var e = this.gates[s][n]; - e && e.options && (e.options.creg && e.options.creg.name && e.options.creg.name == a && r.indexOf(e.id) < 0 && r.push(e.id), e.options.condition && e.options.condition.creg && e.options.condition.creg == a && delete e.options.condition); - } - delete this.cregs[a]; - for (var o = 0; o < r.length; o++) - this.removeGate(r[o]); - }; - b.prototype.renameCreg = function(a, t) { - for (var r = this.numCols(), n = 0; n < r; n++) - for (var s = 0; s < this.numQubits; s++) { - var e = this.gates[s][n]; - e && e.options && (e.options.creg && e.options.creg.name && e.options.creg.name == a && (e.options.creg.name = t), e.options.condition && e.options.condition.creg && e.options.condition.creg == a && (e.options.condition.creg = t)); - } - this.cregs[t] = JSON.parse(JSON.stringify(this.cregs[a])), delete this.cregs[a]; - }; - b.prototype.minCregSize = function(a) { - for (var t = 0, r = this.numCols(), n = 0; n < r; n++) - for (var s = 0; s < this.numQubits; s++) { - var e = this.gates[s][n]; - if (e && e.options) { - if (e.options.creg && e.options.creg.name && e.options.creg.name == a) { - var o = parseInt(e.options.creg.bit || 0); - isNaN(o) && (o = 0), o > t && (t = o); - } - if (e.options.condition && e.options.condition.creg && e.options.condition.creg == a) { - var u = Math.floor(Math.log2(e.options.condition.value)); - u > t && (t = u); - } - } - } - return t + 1; - }; - b.prototype.resizeCreg = function(a, t) { - if (!(t < this.minCregSize(a))) { - for (; this.cregs[a].length < t; ) - this.cregs[a].push(0); - for (; this.cregs[a].length > t; ) - this.cregs[a].pop(); - } - }; - b.prototype.getCreg = function(a) { - return this.cregs[a]; - }; - b.prototype.setCregBit = function(a, t, r) { - var n = parseInt(t); - if (isNaN(n)) - throw 'Error: invalid "cbit" argument to "setCregBit" method: expected "integer" got "' + typeof t + '".'; - for (this.cregs[a] || (this.cregs[a] = []); n >= this.cregs[a].length; ) - this.cregs[a].push(0); - this.cregs[a][n] = r ? 1 : 0; - }; - b.prototype.getCregBit = function(a, t) { - if (!this.cregs[a]) - throw 'Error: "getCregBit": unknown register "' + a + '".'; - var r = parseInt(t); - if (isNaN(r) || r >= this.cregs[a].length) - throw 'Error: "getCregBit": bit "' + t + '" not found.'; - return this.cregs[a][r]; - }; - b.prototype.cregBase = function(a) { - if (!this.cregs[a]) - throw 'Error: "getCregBit": unknown register "' + a + '".'; - var t = 0; - for (var r in this.cregs) { - if (r == a) - return t; - t += this.cregs[r].length; - } - }; - b.prototype.cregTotalBits = function() { - var a = 0; - for (var t in this.cregs) - a += this.cregs[t].length; - return a; - }; - b.prototype.getCregValue = function(a) { - if (!this.cregs[a]) - throw 'Error: "getCregBit": unknown register "' + a + '".'; - for (var t = this.cregs[a].length, r = 0, n = 0; n < t; n++) - this.cregs[a][n] && (r += x.pow(2, n)); - return r; - }; - b.prototype.measureAll = function(a) { - if (this.collapsed && this.collapsed.length == this.numQubits && !a) - return this.collapsed; - this.collapsed = []; - var t = Math.random(); - for (var r in this.state) { - var n = x.round(this.state[r], 14); - if (n.re || n.im) { - var s = x.round(x.pow(x.abs(n), 2), 14); - if (t -= s, t <= 0) { - var e = parseInt(r); - if (this.reverseBitOrder) - for (var o = this.numQubits - 1; o >= 0; o--) - this.collapsed.push(1 << o & e ? 1 : 0); - else - for (var o = 0; o < this.numQubits; o++) - this.collapsed.push(1 << o & e ? 1 : 0); - return this.collapsed; + delete this.cregs[t]; + for (var o = 0; o < r.length; o++) + this.removeGate(r[o]); +}; +ge.prototype.renameCreg = function(t, e) { + for (var r = this.numCols(), n = 0; n < r; n++) + for (var a = 0; a < this.numQubits; a++) { + var s = this.gates[a][n]; + s && s.options && (s.options.creg && s.options.creg.name && s.options.creg.name == t && (s.options.creg.name = e), s.options.condition && s.options.condition.creg && s.options.condition.creg == t && (s.options.condition.creg = e)); + } + this.cregs[e] = JSON.parse(JSON.stringify(this.cregs[t])), delete this.cregs[t]; +}; +ge.prototype.minCregSize = function(t) { + for (var e = 0, r = this.numCols(), n = 0; n < r; n++) + for (var a = 0; a < this.numQubits; a++) { + var s = this.gates[a][n]; + if (s && s.options) { + if (s.options.creg && s.options.creg.name && s.options.creg.name == t) { + var o = parseInt(s.options.creg.bit || 0); + isNaN(o) && (o = 0), o > e && (e = o); + } + if (s.options.condition && s.options.condition.creg && s.options.condition.creg == t) { + var p = Math.floor(Math.log2(s.options.condition.value)); + p > e && (e = p); } } } - if (!this.collapsed.length) - for (; this.collapsed.length < this.numQubits; ) - this.collapsed.push(0); + return e + 1; +}; +ge.prototype.resizeCreg = function(t, e) { + if (!(e < this.minCregSize(t))) { + for (; this.cregs[t].length < e; ) + this.cregs[t].push(0); + for (; this.cregs[t].length > e; ) + this.cregs[t].pop(); + } +}; +ge.prototype.getCreg = function(t) { + return this.cregs[t]; +}; +ge.prototype.setCregBit = function(t, e, r) { + var n = parseInt(e); + if (isNaN(n)) + throw 'Error: invalid "cbit" argument to "setCregBit" method: expected "integer" got "' + typeof e + '".'; + for (this.cregs[t] || (this.cregs[t] = []); n >= this.cregs[t].length; ) + this.cregs[t].push(0); + this.cregs[t][n] = r ? 1 : 0; +}; +ge.prototype.getCregBit = function(t, e) { + if (!this.cregs[t]) + throw 'Error: "getCregBit": unknown register "' + t + '".'; + var r = parseInt(e); + if (isNaN(r) || r >= this.cregs[t].length) + throw 'Error: "getCregBit": bit "' + e + '" not found.'; + return this.cregs[t][r]; +}; +ge.prototype.cregBase = function(t) { + if (!this.cregs[t]) + throw 'Error: "getCregBit": unknown register "' + t + '".'; + var e = 0; + for (var r in this.cregs) { + if (r == t) + return e; + e += this.cregs[r].length; + } +}; +ge.prototype.cregTotalBits = function() { + var t = 0; + for (var e in this.cregs) + t += this.cregs[e].length; + return t; +}; +ge.prototype.getCregValue = function(t) { + if (!this.cregs[t]) + throw 'Error: "getCregBit": unknown register "' + t + '".'; + for (var e = this.cregs[t].length, r = 0, n = 0; n < e; n++) + this.cregs[t][n] && (r += _t(2, n)); + return r; +}; +ge.prototype.measureAll = function(t) { + if (this.collapsed && this.collapsed.length == this.numQubits && !t) return this.collapsed; - }; - b.prototype.measureAllMultishot = function(a) { - a = a || 1; - for (var t = {}, r = [], n = 0; n < a; n++) - r.push(Math.random()); - var s = 0; - do - for (var e in this.state) { - var o = x.round(this.state[e], 14); - if (o.re || o.im) { - for (var u = x.round(x.pow(x.abs(o), 2), 14), p = 0; p < a; p++) - if (r[p] > 0 && (r[p] -= u, r[p] <= 0)) { - for (var v = parseInt(e).toString(2); v.length < this.numQubits; ) - v = "0" + v; - if (t[v] ? t[v]++ : t[v] = 1, s++, s == a) - return t; - } - } + this.collapsed = []; + var e = Math.random(); + for (var r in this.state) { + var n = kt(this.state[r], 14); + if (n.re || n.im) { + var a = kt(_t($t(n), 2), 14); + if (e -= a, e <= 0) { + var s = parseInt(r); + if (this.reverseBitOrder) + for (var o = this.numQubits - 1; o >= 0; o--) + this.collapsed.push(1 << o & s ? 1 : 0); + else + for (var o = 0; o < this.numQubits; o++) + this.collapsed.push(1 << o & s ? 1 : 0); + return this.collapsed; } - while (s < a); - }; - b.prototype.measure = function(a, t, r, n) { - (n || !this.collapsed || this.collapsed.length != this.numQubits) && this.measureAll(n); - var s = this.collapsed[a]; - return t && typeof r != "undefined" && this.setCregBit(t, r, s), s; - }; - b.prototype.probabilities = function() { - this.prob = []; - for (var a = 0; a < this.numQubits; a++) - this.prob.push(0); - for (var t in this.state) - for (var r = parseInt(t), a = 0; a < this.numQubits; a++) { - var n = null; - if (this.reverseBitOrder ? n = x.pow(2, this.numQubits - 1 - a) : n = x.pow(2, a), r & n) { - var s = this.state[t]; - (s.re || s.im) && (this.prob[a] += x.pow(x.abs(s), 2)); - } + } + } + if (!this.collapsed.length) + for (; this.collapsed.length < this.numQubits; ) + this.collapsed.push(0); + return this.collapsed; +}; +ge.prototype.measureAllMultishot = function(t) { + t = t || 1; + for (var e = {}, r = [], n = 0; n < t; n++) + r.push(Math.random()); + var a = 0; + do + for (var s in this.state) { + var o = kt(this.state[s], 14); + if (o.re || o.im) { + for (var p = kt(_t($t(o), 2), 14), u = 0; u < t; u++) + if (r[u] > 0 && (r[u] -= p, r[u] <= 0)) { + for (var f = parseInt(s).toString(2); f.length < this.numQubits; ) + f = "0" + f; + if (e[f] ? e[f]++ : e[f] = 1, a++, a == t) + return e; + } } - for (var a = 0; a < this.numQubits; a++) - this.prob[a] = x.round(this.prob[a], 14); - return this.prob; - }; - b.prototype.probability = function(a) { - return (!this.prob || this.prob.length != this.numQubits) && this.probabilities(), this.prob[a]; - }; - b.prototype.densityMatrix = function() { - var a = [], t = this.numAmplitudes(); - for (row = 0; row < t; row++) { - for (var r = [], n = this.state[row] || x.complex(0, 0), s = 0; s < t; s++) { - var e = this.state[s] || x.complex(0, 0); - (e.re || e.im) && (e = x.conj(e)), r.push(x.multiply(n, e)); + } + while (a < t); +}; +ge.prototype.measure = function(t, e, r, n) { + (n || !this.collapsed || this.collapsed.length != this.numQubits) && this.measureAll(n); + var a = this.collapsed[t]; + return e && typeof r < "u" && this.setCregBit(e, r, a), a; +}; +ge.prototype.probabilities = function() { + this.prob = []; + for (var t = 0; t < this.numQubits; t++) + this.prob.push(0); + for (var e in this.state) + for (var r = parseInt(e), t = 0; t < this.numQubits; t++) { + var n = null; + if (this.reverseBitOrder ? n = _t(2, this.numQubits - 1 - t) : n = _t(2, t), r & n) { + var a = this.state[e]; + (a.re || a.im) && (this.prob[t] += _t($t(a), 2)); } - a.push(r); } - return a; - }; - b.prototype.partialTrace = function(a) { - function t(f, h, m) { - var c = f << 1, l = (2 << h) - 1, d = 1 << h, c = c ^ (c ^ f) & l | d; - return m || (c = c ^ d), c; + for (var t = 0; t < this.numQubits; t++) + this.prob[t] = kt(this.prob[t], 14); + return this.prob; +}; +ge.prototype.probability = function(t) { + return (!this.prob || this.prob.length != this.numQubits) && this.probabilities(), this.prob[t]; +}; +ge.prototype.densityMatrix = function() { + var t = [], e = this.numAmplitudes(); + for (row = 0; row < e; row++) { + for (var r = [], n = this.state[row] || Wt(0, 0), a = 0; a < e; a++) { + var s = this.state[a] || Wt(0, 0); + (s.re || s.im) && (s = Yn(s)), r.push(it(n, s)); } - var r = [], n = this.numQubits - 1, s = x.pow(2, n), e = null; - this.reverseBitOrder ? e = this.numQubits - 1 - a : e = a; - for (var o = 0; o < 4; o++) { - r.push(x.complex(0, 0)); - for (var u = s; u--; ) { - var p = t(u, e, o & 2 ? 1 : 0); - if (this.state[p]) { - var v = t(u, e, o & 1 ? 1 : 0); - this.state[v] && (r[o] = x.add(r[o], x.multiply(this.state[p], x.conj(this.state[v])))); - } + t.push(r); + } + return t; +}; +ge.prototype.partialTrace = function(t) { + function e(l, c, h) { + var v = l << 1, d = (2 << c) - 1, g = 1 << c, v = v ^ (v ^ l) & d | g; + return h || (v = v ^ g), v; + } + var r = [], n = this.numQubits - 1, a = _t(2, n), s = null; + this.reverseBitOrder ? s = this.numQubits - 1 - t : s = t; + for (var o = 0; o < 4; o++) { + r.push(Wt(0, 0)); + for (var p = a; p--; ) { + var u = e(p, s, o & 2 ? 1 : 0); + if (this.state[u]) { + var f = e(p, s, o & 1 ? 1 : 0); + this.state[f] && (r[o] = ut(r[o], it(this.state[u], Yn(this.state[f])))); } } - return [ - [r[0], r[1]], - [r[2], r[3]] - ]; - }; - b.prototype.angles = function() { - for (var a = [], t = 0; t < this.numQubits; t++) - a.push({ theta: 0, phi: 0 }); - for (var t = 0; t < this.numQubits; t++) { - var r = this.partialTrace(t), n = x.round(x.sqrt(r[0][0]), 12), s = x.round(x.multiply(r[1][0], x.sqrt(2)), 12), e = x.round(x.abs(x.sqrt(2 * x.abs(x.trace(x.pow(r, 2))) - 1)), 12), o = x.multiply(2, x.acos(n)), u = 0; - x.round(s.re, 8) == 0 && x.round(s.im, 8) == 0 || (u = x.multiply(x.complex(0, -1), x.log(x.multiply(s, x.csc(x.divide(o, 2))))).re, isNaN(u) && (u = 0)), a[t].theta = x.round(x.abs(o), 12), a[t].phi = x.round(u, 12), a[t].thetaDeg = x.round(x.multiply(x.abs(o), 180 / x.pi), 7), a[t].phiDeg = x.round(x.multiply(u, 180 / x.pi), 7), a[t].radius = x.round(e, 7); - } - return a; - }; - b.prototype.randomCircuit = function(a, t, r) { - this.init(a), r = r || {}; - var n = r.useGates && r.useGates.length ? r.useGates : Object.keys(this.basicGates); - r.noMeasure && n.indexOf("measure") >= 0 && n.splice(n.indexOf("measure"), 1), r.noReset && n.indexOf("reset") >= 0 && n.splice(n.indexOf("reset"), 1); - for (var s = 0; s < t; ) { - var e = n[Math.floor(Math.random() * n.length)], o = this.basicGates[e]; - if (o) { - var u = o.matrix && o.matrix.length ? x.log2(o.matrix.length) : 1; - if (u <= a) { - for (var p = []; p.length < u; ) { - var v = -1; - do - v = Math.floor(Math.random() * a); - while (p.indexOf(v) >= 0); - p.push(v); - } - var f = {}; - if (o.params && o.params.length) { - var h = {}; - o.params.map(function(l) { - h[l] = Math.PI * 2 * Math.random(), h[l] > Math.PI && (h[l] = Math.PI - h[l]); - }), f.params = h; - } - if (e == "measure") - f.creg = { - name: "c", - bit: p[0] - }; - else if (!r.noClassicControl && Math.floor(Math.random() * 4) == 0) { - var m = this.cregTotalBits(); - m && (f.condition = { - creg: "c", - value: Math.floor(Math.random() * x.pow(2, m)) - }); - } - this.appendGate(e, p, f), s++; + } + return [ + [r[0], r[1]], + [r[2], r[3]] + ]; +}; +ge.prototype.angles = function() { + for (var t = [], e = 0; e < this.numQubits; e++) + t.push({ theta: 0, phi: 0 }); + for (var e = 0; e < this.numQubits; e++) { + var r = this.partialTrace(e), n = kt(dr(r[0][0]), 12), a = kt(it(r[1][0], dr(2)), 12), s = kt($t(dr(2 * $t(mv(_t(r, 2))) - 1)), 12), o = it(2, Zd(n)), p = 0; + kt(a.re, 8) == 0 && kt(a.im, 8) == 0 || (p = it(Wt(0, -1), vo(it(a, Yd(ur(o, 2))))).re, isNaN(p) && (p = 0)), t[e].theta = kt($t(o), 12), t[e].phi = kt(p, 12), t[e].thetaDeg = kt(it($t(o), 180 / Oi), 7), t[e].phiDeg = kt(it(p, 180 / Oi), 7), t[e].radius = kt(s, 7); + } + return t; +}; +ge.prototype.randomCircuit = function(t, e, r) { + this.init(t), r = r || {}; + var n = r.useGates && r.useGates.length ? r.useGates : Object.keys(this.basicGates); + r.noMeasure && n.indexOf("measure") >= 0 && n.splice(n.indexOf("measure"), 1), r.noReset && n.indexOf("reset") >= 0 && n.splice(n.indexOf("reset"), 1); + for (var a = 0; a < e; ) { + var s = n[Math.floor(Math.random() * n.length)], o = this.basicGates[s]; + if (o) { + var p = o.matrix && o.matrix.length ? vi(o.matrix.length) : 1; + if (p <= t) { + for (var u = []; u.length < p; ) { + var f = -1; + do + f = Math.floor(Math.random() * t); + while (u.indexOf(f) >= 0); + u.push(f); + } + var l = {}; + if (o.params && o.params.length) { + var c = {}; + o.params.map(function(d) { + c[d] = Math.PI * 2 * Math.random(), c[d] > Math.PI && (c[d] = Math.PI - c[d]); + }), l.params = c; } + if (s == "measure") + l.creg = { + name: "c", + bit: u[0] + }; + else if (!r.noClassicControl && Math.floor(Math.random() * 4) == 0) { + var h = this.cregTotalBits(); + h && (l.condition = { + creg: "c", + value: Math.floor(Math.random() * _t(2, h)) + }); + } + this.appendGate(s, u, l), a++; } } - }; - b.prototype.randomUnitary = function(a) { - var t = new b(); - return t.randomCircuit(a || 1, (a || 1) * 8, { - useGates: ["rx", "rz", "cz"], - noMeasure: !0, - noReset: !0, - noClassicControl: !0 - }), t.circuitMatrix(); - }; - b.prototype.eulerAnglesZYZ = function(a) { - var t = { theta: null, phi: null, lambda: null, phase: null }, r = x.pow(x.det(a), -0.5); - t.phase = -1 * x.complex(r).toPolar().phi; - var n = x.multiply(r, a); - t.theta = 2 * x.atan2(x.abs(n[1][0]), x.abs(n[0][0])); - var s = 2 * x.complex(n[1][1]).toPolar().phi, e = 2 * x.complex(n[1][0]).toPolar().phi; - return t.phi = (s + e) / 2, t.lambda = (s - e) / 2, t; - }; - tt.exports = b; -}); -export default pt(); + } +}; +ge.prototype.randomUnitary = function(t) { + var e = new ge(); + return e.randomCircuit(t || 1, (t || 1) * 8, { + useGates: ["rx", "rz", "cz"], + noMeasure: !0, + noReset: !0, + noClassicControl: !0 + }), e.circuitMatrix(); +}; +ge.prototype.eulerAnglesZYZ = function(t) { + var e = { theta: null, phi: null, lambda: null, phase: null }, r = _t(lm(t), -0.5); + e.phase = -1 * Wt(r).toPolar().phi; + var n = it(r, t); + e.theta = 2 * ov($t(n[1][0]), $t(n[0][0])); + var a = 2 * Wt(n[1][1]).toPolar().phi, s = 2 * Wt(n[1][0]).toPolar().phi; + return e.phi = (a + s) / 2, e.lambda = (a - s) / 2, e; +}; +export { + ge as QuantumCircuit +}; diff --git a/dist/quantum-circuit.min.js b/dist/quantum-circuit.min.js index 4d1e0bb..9bec464 100644 --- a/dist/quantum-circuit.min.js +++ b/dist/quantum-circuit.min.js @@ -1,11 +1,162 @@ -var pe=(Kt,Lt)=>()=>(Lt||Kt((Lt={exports:{}}).exports,Lt),Lt.exports),me=pe((Kt,Lt)=>{/** +function mr(){return mr=Object.assign?Object.assign.bind():function(t){for(var e=1;e{Object.defineProperty(r,n,{get:()=>t[n],enumerable:!0,configurable:!0})}),r}function Hy(t,e,r){t[e]!==void 0&&!r.includes(t[e])&&console.warn('Warning: Unknown value "'+t[e]+'" for configuration option "'+e+'". 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this.isNaN()?"NaN":this.isInfinite()?"Infinity":(Math.abs(l)(Object.defineProperty(kr,"name",{value:"Complex"}),kr.prototype.constructor=kr,kr.prototype.type="Complex",kr.prototype.isComplex=!0,kr.prototype.toJSON=function(){return{mathjs:"Complex",re:this.re,im:this.im}},kr.prototype.toPolar=function(){return{r:this.abs(),phi:this.arg()}},kr.prototype.format=function(t){var e="",r=this.im,n=this.re,a=na(this.re,t),s=na(this.im,t),o=dt(t)?t:t?t.precision:null;if(o!==null){var d=Math.pow(10,-o);Math.abs(n/r)e.re?1:t.ree.im?1:t.im1&&(e[r]=(e[r]||0)+1):e[t]=(e[t]||0)+1,e}var fn=function(t,e){var r=0,n=1,a=1,s=0,o=0,d=0,c=1,p=1,u=0,l=1,m=1,f=1,y=1e7,g;if(t!=null)if(e!==void 0){if(r=t,n=e,a=r*n,r%1!==0||n%1!==0)throw wA()}else switch(typeof t){case"object":{if("d"in t&&"n"in t)r=t.n,n=t.d,"s"in t&&(r*=t.s);else if(0 in t)r=t[0],1 in t&&(n=t[1]);else throw $o();a=r*n;break}case"number":{if(t<0&&(a=t,t=-t),t%1===0)r=t;else 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"+this.units[ae].prefix.name+this.units[ae].unit.name,Math.abs(this.units[ae].power-1)>1e-15&&(J+="^"+this.units[ae].power)):this.units[ae].power<0&&ee++;if(ee>0)for(var me=0;me0?(te+=" "+this.units[me].prefix.name+this.units[me].unit.name,Math.abs(this.units[me].power+1)>1e-15&&(te+="^"+-this.units[me].power)):(te+=" "+this.units[me].prefix.name+this.units[me].unit.name,te+="^"+this.units[me].power));J=J.substr(1),te=te.substr(1),oe>1&&ee>0&&(J="("+J+")"),ee>1&&oe>0&&(te="("+te+")");var Se=J;return oe>0&&ee>0&&(Se+=" / "),Se+=te,Se},v.prototype.format=function(J){var te=this.skipAutomaticSimplification||this.value===null?this.clone():this.simplify(),oe=!1;typeof te.value<"u"&&te.value!==null&&Tn(te.value)&&(oe=Math.abs(te.value.re)<1e-14);for(var ee in te.units)We(te.units,ee)&&te.units[ee].unit&&(te.units[ee].unit.name==="VA"&&oe?te.units[ee].unit=G.VAR:te.units[ee].unit.name==="VAR"&&!oe&&(te.units[ee].unit=G.VA));te.units.length===1&&!te.fixPrefix&&Math.abs(te.units[0].power-Math.round(te.units[0].power))<1e-14&&(te.units[0].prefix=te._bestPrefix());var ae=te._denormalize(te.value),me=te.value!==null?f(ae,J||{}):"",Se=te.formatUnits();return te.value&&Tn(te.value)&&(me="("+me+")"),Se.length>0&&me.length>0&&(me+=" "),me+=Se,me},v.prototype._bestPrefix=function(){if(this.units.length!==1)throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!");if(Math.abs(this.units[0].power-Math.round(this.units[0].power))>=1e-14)throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!");var J=this.value!==null?c(this.value):0,te=c(this.units[0].unit.value),oe=this.units[0].prefix;if(J===0)return oe;var ee=this.units[0].power,ae=Math.log(J/Math.pow(oe.value*te,ee))/Math.LN10-1.2;if(ae>-2.200001&&ae<1.800001)return oe;ae=Math.abs(ae);var me=this.units[0].unit.prefixes;for(var Se in me)if(We(me,Se)){var Me=me[Se];if(Me.scientific){var 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The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.",examples:['derivative("2x^3", "x")','derivative("2x^3", "x", {simplify: false})','derivative("2x^2 + 3x + 4", "x")','derivative("sin(2x)", "x")','f = parse("x^2 + x")','x = parse("x")',"df = derivative(f, x)","df.evaluate({x: 3})"],seealso:["simplify","parse","evaluate"]},QI={name:"leafCount",category:"Algebra",syntax:["leafCount(expr)"],description:"Computes the number of leaves in the parse tree of the given expression",examples:['leafCount("e^(i*pi)-1")','leafCount(parse("{a: 22/7, b: 10^(1/2)}"))'],seealso:["simplify"]},HI={name:"lsolve",category:"Algebra",syntax:["x=lsolve(L, b)"],description:"Finds one solution of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lsolveAll","lup","lusolve","usolve","matrix","sparse"]},JI={name:"lsolveAll",category:"Algebra",syntax:["x=lsolveAll(L, b)"],description:"Finds all solutions of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lsolve","lup","lusolve","usolve","matrix","sparse"]},WI={name:"lup",category:"Algebra",syntax:["lup(m)"],description:"Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U",examples:["lup([[2, 1], [1, 4]])","lup(matrix([[2, 1], [1, 4]]))","lup(sparse([[2, 1], [1, 4]]))"],seealso:["lusolve","lsolve","usolve","matrix","sparse","slu","qr"]},VI={name:"lusolve",category:"Algebra",syntax:["x=lusolve(A, b)","x=lusolve(lu, b)"],description:"Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lusolve(a, b)"],seealso:["lup","slu","lsolve","usolve","matrix","sparse"]},YI={name:"polynomialRoot",category:"Algebra",syntax:["x=polynomialRoot(-6, 3)","x=polynomialRoot(4, -4, 1)","x=polynomialRoot(-8, 12, -6, 1)"],description:"Finds the roots of a univariate polynomial given by its coefficients starting from constant, linear, and so on, increasing in degree.",examples:["a = polynomialRoot(-6, 11, -6, 1)"],seealso:["cbrt","sqrt"]},$I={name:"qr",category:"Algebra",syntax:["qr(A)"],description:"Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.",examples:["qr([[1, -1, 4], [1, 4, -2], [1, 4, 2], [1, -1, 0]])"],seealso:["lup","slu","matrix"]},ZI={name:"rationalize",category:"Algebra",syntax:["rationalize(expr)","rationalize(expr, scope)","rationalize(expr, scope, detailed)"],description:"Transform a rationalizable expression in a rational fraction. If rational fraction is one variable polynomial then converts the numerator and denominator in canonical form, with decreasing exponents, returning the coefficients of numerator.",examples:['rationalize("2x/y - y/(x+1)")','rationalize("2x/y - y/(x+1)", true)'],seealso:["simplify"]},KI={name:"resolve",category:"Algebra",syntax:["resolve(node, scope)"],description:"Recursively substitute variables in an expression tree.",examples:['resolve(parse("1 + x"), { x: 7 })','resolve(parse("size(text)"), { text: "Hello World" })','resolve(parse("x + y"), { x: parse("3z") })','resolve(parse("3x"), { x: parse("y+z"), z: parse("w^y") })'],seealso:["simplify","evaluate"],mayThrow:["ReferenceError"]},XI={name:"simplify",category:"Algebra",syntax:["simplify(expr)","simplify(expr, rules)"],description:"Simplify an expression tree.",examples:['simplify("3 + 2 / 4")','simplify("2x + x")','f = parse("x * (x + 2 + x)")',"simplified = simplify(f)","simplified.evaluate({x: 2})"],seealso:["simplifyCore","derivative","evaluate","parse","rationalize","resolve"]},e5={name:"simplifyConstant",category:"Algebra",syntax:["simplifyConstant(expr)","simplifyConstant(expr, options)"],description:"Replace constant subexpressions of node with their values.",examples:['simplifyConstant("(3-3)*x")','simplifyConstant(parse("z-cos(tau/8)"))'],seealso:["simplify","simplifyCore","evaluate"]},t5={name:"simplifyCore",category:"Algebra",syntax:["simplifyCore(node)"],description:"Perform simple one-pass simplifications on an expression tree.",examples:['simplifyCore(parse("0*x"))','simplifyCore(parse("(x+0)*2"))'],seealso:["simplify","simplifyConstant","evaluate"]},r5={name:"slu",category:"Algebra",syntax:["slu(A, order, threshold)"],description:"Calculate the Matrix LU decomposition with full pivoting. Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U",examples:["slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)"],seealso:["lusolve","lsolve","usolve","matrix","sparse","lup","qr"]},n5={name:"symbolicEqual",category:"Algebra",syntax:["symbolicEqual(expr1, expr2)","symbolicEqual(expr1, expr2, options)"],description:"Returns true if the difference of the expressions simplifies to 0",examples:['symbolicEqual("x*y","y*x")','symbolicEqual("abs(x^2)", "x^2")','symbolicEqual("abs(x)", "x", {context: {abs: {trivial: true}}})'],seealso:["simplify","evaluate"]},i5={name:"usolve",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Finds one solution of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.",examples:["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"],seealso:["usolveAll","lup","lusolve","lsolve","matrix","sparse"]},a5={name:"usolveAll",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Finds all solutions of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.",examples:["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"],seealso:["usolve","lup","lusolve","lsolve","matrix","sparse"]},s5={name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]},o5={name:"add",category:"Operators",syntax:["x + y","add(x, y)"],description:"Add two values.",examples:["a = 2.1 + 3.6","a - 3.6","3 + 2i","3 cm + 2 inch",'"2.3" + "4"'],seealso:["subtract"]},u5={name:"cbrt",category:"Arithmetic",syntax:["cbrt(x)","cbrt(x, allRoots)"],description:"Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned",examples:["cbrt(64)","cube(4)","cbrt(-8)","cbrt(2 + 3i)","cbrt(8i)","cbrt(8i, true)","cbrt(27 m^3)"],seealso:["square","sqrt","cube","multiply"]},c5={name:"ceil",category:"Arithmetic",syntax:["ceil(x)"],description:"Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.",examples:["ceil(3.2)","ceil(3.8)","ceil(-4.2)"],seealso:["floor","fix","round"]},l5={name:"cube",category:"Arithmetic",syntax:["cube(x)"],description:"Compute the cube of a value. The cube of x is x * x * x.",examples:["cube(2)","2^3","2 * 2 * 2"],seealso:["multiply","square","pow"]},p5={name:"divide",category:"Operators",syntax:["x / y","divide(x, y)"],description:"Divide two values.",examples:["a = 2 / 3","a * 3","4.5 / 2","3 + 4 / 2","(3 + 4) / 2","18 km / 4.5"],seealso:["multiply"]},d5={name:"dotDivide",category:"Operators",syntax:["x ./ y","dotDivide(x, y)"],description:"Divide two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a ./ b"],seealso:["multiply","dotMultiply","divide"]},m5={name:"dotMultiply",category:"Operators",syntax:["x .* y","dotMultiply(x, y)"],description:"Multiply two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a .* b"],seealso:["multiply","divide","dotDivide"]},h5={name:"dotPow",category:"Operators",syntax:["x .^ y","dotPow(x, y)"],description:"Calculates the power of x to y element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","a .^ 2"],seealso:["pow"]},f5={name:"exp",category:"Arithmetic",syntax:["exp(x)"],description:"Calculate the exponent of a value.",examples:["exp(1.3)","e ^ 1.3","log(exp(1.3))","x = 2.4","(exp(i*x) == cos(x) + i*sin(x)) # Euler's formula"],seealso:["expm","expm1","pow","log"]},g5={name:"expm",category:"Arithmetic",syntax:["exp(x)"],description:"Compute the matrix exponential, expm(A) = e^A. The matrix must be square. Not to be confused with exp(a), which performs element-wise exponentiation.",examples:["expm([[0,2],[0,0]])"],seealso:["exp"]},y5={name:"expm1",category:"Arithmetic",syntax:["expm1(x)"],description:"Calculate the value of subtracting 1 from the exponential value.",examples:["expm1(2)","pow(e, 2) - 1","log(expm1(2) + 1)"],seealso:["exp","pow","log"]},x5={name:"fix",category:"Arithmetic",syntax:["fix(x)"],description:"Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.",examples:["fix(3.2)","fix(3.8)","fix(-4.2)","fix(-4.8)"],seealso:["ceil","floor","round"]},v5={name:"floor",category:"Arithmetic",syntax:["floor(x)"],description:"Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.",examples:["floor(3.2)","floor(3.8)","floor(-4.2)"],seealso:["ceil","fix","round"]},b5={name:"gcd",category:"Arithmetic",syntax:["gcd(a, b)","gcd(a, b, c, ...)"],description:"Compute the greatest common divisor.",examples:["gcd(8, 12)","gcd(-4, 6)","gcd(25, 15, -10)"],seealso:["lcm","xgcd"]},D5={name:"hypot",category:"Arithmetic",syntax:["hypot(a, b, c, ...)","hypot([a, b, c, ...])"],description:"Calculate the hypotenusa of a list with values. ",examples:["hypot(3, 4)","sqrt(3^2 + 4^2)","hypot(-2)","hypot([3, 4, 5])"],seealso:["abs","norm"]},w5={name:"invmod",category:"Arithmetic",syntax:["invmod(a, b)"],description:"Calculate the (modular) multiplicative inverse of a modulo b. Solution to the equation ax \u2263 1 (mod b)",examples:["invmod(8, 12)","invmod(7, 13)","invmod(15151, 15122)"],seealso:["gcd","xgcd"]},N5={name:"lcm",category:"Arithmetic",syntax:["lcm(x, y)"],description:"Compute the least common multiple.",examples:["lcm(4, 6)","lcm(6, 21)","lcm(6, 21, 5)"],seealso:["gcd"]},S5={name:"log",category:"Arithmetic",syntax:["log(x)","log(x, base)"],description:"Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).",examples:["log(3.5)","a = log(2.4)","exp(a)","10 ^ 4","log(10000, 10)","log(10000) / log(10)","b = log(1024, 2)","2 ^ b"],seealso:["exp","log1p","log2","log10"]},C5={name:"log10",category:"Arithmetic",syntax:["log10(x)"],description:"Compute the 10-base logarithm of a value.",examples:["log10(0.00001)","log10(10000)","10 ^ 4","log(10000) / log(10)","log(10000, 10)"],seealso:["exp","log"]},E5={name:"log1p",category:"Arithmetic",syntax:["log1p(x)","log1p(x, base)"],description:"Calculate the logarithm of a `value+1`",examples:["log1p(2.5)","exp(log1p(1.4))","pow(10, 4)","log1p(9999, 10)","log1p(9999) / log(10)"],seealso:["exp","log","log2","log10"]},T5={name:"log2",category:"Arithmetic",syntax:["log2(x)"],description:"Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.",examples:["log2(0.03125)","log2(16)","log2(16) / log2(2)","pow(2, 4)"],seealso:["exp","log1p","log","log10"]},A5={name:"mod",category:"Operators",syntax:["x % y","x mod y","mod(x, y)"],description:"Calculates the modulus, the remainder of an integer division.",examples:["7 % 3","11 % 2","10 mod 4","isOdd(x) = x % 2","isOdd(2)","isOdd(3)"],seealso:["divide"]},_5={name:"multiply",category:"Operators",syntax:["x * y","multiply(x, y)"],description:"multiply two values.",examples:["a = 2.1 * 3.4","a / 3.4","2 * 3 + 4","2 * (3 + 4)","3 * 2.1 km"],seealso:["divide"]},M5={name:"norm",category:"Arithmetic",syntax:["norm(x)","norm(x, p)"],description:"Calculate the norm of a number, vector or matrix.",examples:["abs(-3.5)","norm(-3.5)","norm(3 - 4i)","norm([1, 2, -3], Infinity)","norm([1, 2, -3], -Infinity)","norm([3, 4], 2)","norm([[1, 2], [3, 4]], 1)",'norm([[1, 2], [3, 4]], "inf")','norm([[1, 2], [3, 4]], "fro")']},q5={name:"nthRoot",category:"Arithmetic",syntax:["nthRoot(a)","nthRoot(a, root)"],description:'Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation "x^root = A".',examples:["4 ^ 3","nthRoot(64, 3)","nthRoot(9, 2)","sqrt(9)"],seealso:["nthRoots","pow","sqrt"]},F5={name:"nthRoots",category:"Arithmetic",syntax:["nthRoots(A)","nthRoots(A, root)"],description:'Calculate the nth roots of a value. An nth root of a positive real number A, is a positive real solution of the equation "x^root = A". This function returns an array of complex values.',examples:["nthRoots(1)","nthRoots(1, 3)"],seealso:["sqrt","pow","nthRoot"]},O5={name:"pow",category:"Operators",syntax:["x ^ y","pow(x, y)"],description:"Calculates the power of x to y, x^y.",examples:["2^3","2*2*2","1 + e ^ (pi * i)","pow([[1, 2], [4, 3]], 2)","pow([[1, 2], [4, 3]], -1)"],seealso:["multiply","nthRoot","nthRoots","sqrt"]},I5={name:"round",category:"Arithmetic",syntax:["round(x)","round(x, n)","round(unit, valuelessUnit)","round(unit, n, valuelessUnit)"],description:"round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.",examples:["round(3.2)","round(3.8)","round(-4.2)","round(-4.8)","round(pi, 3)","round(123.45678, 2)","round(3.241cm, 2, cm)","round([3.2, 3.8, -4.7])"],seealso:["ceil","floor","fix"]},k5={name:"sign",category:"Arithmetic",syntax:["sign(x)"],description:"Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.",examples:["sign(3.5)","sign(-4.2)","sign(0)"],seealso:["abs"]},R5={name:"sqrt",category:"Arithmetic",syntax:["sqrt(x)"],description:"Compute the square root value. If x = y * y, then y is the square root of x.",examples:["sqrt(25)","5 * 5","sqrt(-1)"],seealso:["square","sqrtm","multiply","nthRoot","nthRoots","pow"]},P5={name:"sqrtm",category:"Arithmetic",syntax:["sqrtm(x)"],description:"Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.",examples:["sqrtm([[33, 24], [48, 57]])"],seealso:["sqrt","abs","square","multiply"]},B5={name:"sylvester",category:"Algebra",syntax:["sylvester(A,B,C)"],description:"Solves the real-valued Sylvester equation AX+XB=C for X",examples:["sylvester([[-1, -2], [1, 1]], [[-2, 1], [-1, 2]], [[-3, 2], [3, 0]])","A = [[-1, -2], [1, 1]]; B = [[2, -1], [1, -2]]; C = [[-3, 2], [3, 0]]","sylvester(A, B, C)"],seealso:["schur","lyap"]},z5={name:"schur",category:"Algebra",syntax:["schur(A)"],description:"Performs a real Schur decomposition of the real matrix A = UTU'",examples:["schur([[1, 0], [-4, 3]])","A = [[1, 0], [-4, 3]]","schur(A)"],seealso:["lyap","sylvester"]},L5={name:"lyap",category:"Algebra",syntax:["lyap(A,Q)"],description:"Solves the Continuous-time Lyapunov equation AP+PA'+Q=0 for P",examples:["lyap([[-2, 0], [1, -4]], [[3, 1], [1, 3]])","A = [[-2, 0], [1, -4]]","Q = [[3, 1], [1, 3]]","lyap(A,Q)"],seealso:["schur","sylvester"]},j5={name:"square",category:"Arithmetic",syntax:["square(x)"],description:"Compute the square of a value. The square of x is x * x.",examples:["square(3)","sqrt(9)","3^2","3 * 3"],seealso:["multiply","pow","sqrt","cube"]},U5={name:"subtract",category:"Operators",syntax:["x - y","subtract(x, y)"],description:"subtract two values.",examples:["a = 5.3 - 2","a + 2","2/3 - 1/6","2 * 3 - 3","2.1 km - 500m"],seealso:["add"]},G5={name:"unaryMinus",category:"Operators",syntax:["-x","unaryMinus(x)"],description:"Inverse the sign of a value. Converts booleans and strings to numbers.",examples:["-4.5","-(-5.6)",'-"22"'],seealso:["add","subtract","unaryPlus"]},Q5={name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]},H5={name:"xgcd",category:"Arithmetic",syntax:["xgcd(a, b)"],description:"Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.",examples:["xgcd(8, 12)","gcd(8, 12)","xgcd(36163, 21199)"],seealso:["gcd","lcm"]},J5={name:"bitAnd",category:"Bitwise",syntax:["x & y","bitAnd(x, y)"],description:"Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0",examples:["5 & 3","bitAnd(53, 131)","[1, 12, 31] & 42"],seealso:["bitNot","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]},W5={name:"bitNot",category:"Bitwise",syntax:["~x","bitNot(x)"],description:"Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.",examples:["~1","~2","bitNot([2, -3, 4])"],seealso:["bitAnd","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]},V5={name:"bitOr",category:"Bitwise",syntax:["x | y","bitOr(x, y)"],description:"Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.",examples:["5 | 3","bitOr([1, 2, 3], 4)"],seealso:["bitAnd","bitNot","bitXor","leftShift","rightArithShift","rightLogShift"]},Y5={name:"bitXor",category:"Bitwise",syntax:["bitXor(x, y)"],description:"Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.",examples:["bitOr(1, 2)","bitXor([2, 3, 4], 4)"],seealso:["bitAnd","bitNot","bitOr","leftShift","rightArithShift","rightLogShift"]},$5={name:"leftShift",category:"Bitwise",syntax:["x << y","leftShift(x, y)"],description:"Bitwise left logical shift of a value x by y number of bits.",examples:["4 << 1","8 >> 1"],seealso:["bitAnd","bitNot","bitOr","bitXor","rightArithShift","rightLogShift"]},Z5={name:"rightArithShift",category:"Bitwise",syntax:["x >> y","rightArithShift(x, y)"],description:"Bitwise right arithmetic shift of a value x by y number of bits.",examples:["8 >> 1","4 << 1","-12 >> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightLogShift"]},K5={name:"rightLogShift",category:"Bitwise",syntax:["x >>> y","rightLogShift(x, y)"],description:"Bitwise right logical shift of a value x by y number of bits.",examples:["8 >>> 1","4 << 1","-12 >>> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightArithShift"]},X5={name:"bellNumbers",category:"Combinatorics",syntax:["bellNumbers(n)"],description:"The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["bellNumbers(3)","bellNumbers(8)"],seealso:["stirlingS2"]},ek={name:"catalan",category:"Combinatorics",syntax:["catalan(n)"],description:"The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["catalan(3)","catalan(8)"],seealso:["bellNumbers"]},tk={name:"composition",category:"Combinatorics",syntax:["composition(n, k)"],description:"The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.",examples:["composition(5, 3)"],seealso:["combinations"]},rk={name:"stirlingS2",category:"Combinatorics",syntax:["stirlingS2(n, k)"],description:"he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.",examples:["stirlingS2(5, 3)"],seealso:["bellNumbers"]},nk={name:"arg",category:"Complex",syntax:["arg(x)"],description:"Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).",examples:["arg(2 + 2i)","atan2(3, 2)","arg(2 + 3i)"],seealso:["re","im","conj","abs"]},ik={name:"conj",category:"Complex",syntax:["conj(x)"],description:"Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.",examples:["conj(2 + 3i)","conj(2 - 3i)","conj(-5.2i)"],seealso:["re","im","abs","arg"]},ak={name:"im",category:"Complex",syntax:["im(x)"],description:"Get the imaginary part of a complex number.",examples:["im(2 + 3i)","re(2 + 3i)","im(-5.2i)","im(2.4)"],seealso:["re","conj","abs","arg"]},sk={name:"re",category:"Complex",syntax:["re(x)"],description:"Get the real part of a complex number.",examples:["re(2 + 3i)","im(2 + 3i)","re(-5.2i)","re(2.4)"],seealso:["im","conj","abs","arg"]},ok={name:"evaluate",category:"Expression",syntax:["evaluate(expression)","evaluate(expression, scope)","evaluate([expr1, expr2, expr3, ...])","evaluate([expr1, expr2, expr3, ...], scope)"],description:"Evaluate an expression or an array with expressions.",examples:['evaluate("2 + 3")','evaluate("sqrt(16)")','evaluate("2 inch to cm")','evaluate("sin(x * pi)", { "x": 1/2 })','evaluate(["width=2", "height=4","width*height"])'],seealso:[]},uk={name:"help",category:"Expression",syntax:["help(object)","help(string)"],description:"Display documentation on a function or data type.",examples:["help(sqrt)",'help("complex")'],seealso:[]},ck={name:"distance",category:"Geometry",syntax:["distance([x1, y1], [x2, y2])","distance([[x1, y1], [x2, y2]])"],description:"Calculates the Euclidean distance between two points.",examples:["distance([0,0], [4,4])","distance([[0,0], [4,4]])"],seealso:[]},lk={name:"intersect",category:"Geometry",syntax:["intersect(expr1, expr2, expr3, expr4)","intersect(expr1, expr2, expr3)"],description:"Computes the intersection point of lines and/or planes.",examples:["intersect([0, 0], [10, 10], [10, 0], [0, 10])","intersect([1, 0, 1], [4, -2, 2], [1, 1, 1, 6])"],seealso:[]},pk={name:"and",category:"Logical",syntax:["x and y","and(x, y)"],description:"Logical and. Test whether two values are both defined with a nonzero/nonempty value.",examples:["true and false","true and true","2 and 4"],seealso:["not","or","xor"]},dk={name:"not",category:"Logical",syntax:["not x","not(x)"],description:"Logical not. Flips the boolean value of given argument.",examples:["not true","not false","not 2","not 0"],seealso:["and","or","xor"]},mk={name:"or",category:"Logical",syntax:["x or y","or(x, y)"],description:"Logical or. Test if at least one value is defined with a nonzero/nonempty value.",examples:["true or false","false or false","0 or 4"],seealso:["not","and","xor"]},hk={name:"xor",category:"Logical",syntax:["x xor y","xor(x, y)"],description:"Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.",examples:["true xor false","false xor false","true xor true","0 xor 4"],seealso:["not","and","or"]},fk={name:"column",category:"Matrix",syntax:["column(x, index)"],description:"Return a column from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","column(A, 1)","column(A, 2)"],seealso:["row","matrixFromColumns"]},gk={name:"concat",category:"Matrix",syntax:["concat(A, B, C, ...)","concat(A, B, C, ..., dim)"],description:"Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.",examples:["A = [1, 2; 5, 6]","B = [3, 4; 7, 8]","concat(A, B)","concat(A, B, 1)","concat(A, B, 2)"],seealso:["det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},yk={name:"count",category:"Matrix",syntax:["count(x)"],description:"Count the number of elements of a matrix, array or string.",examples:["a = [1, 2; 3, 4; 5, 6]","count(a)","size(a)",'count("hello world")'],seealso:["size"]},xk={name:"cross",category:"Matrix",syntax:["cross(A, B)"],description:"Calculate the cross product for two vectors in three dimensional space.",examples:["cross([1, 1, 0], [0, 1, 1])","cross([3, -3, 1], [4, 9, 2])","cross([2, 3, 4], [5, 6, 7])"],seealso:["multiply","dot"]},vk={name:"ctranspose",category:"Matrix",syntax:["x'","ctranspose(x)"],description:"Complex Conjugate and Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","ctranspose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]},bk={name:"det",category:"Matrix",syntax:["det(x)"],description:"Calculate the determinant of a matrix",examples:["det([1, 2; 3, 4])","det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"],seealso:["concat","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},Dk={name:"diag",category:"Matrix",syntax:["diag(x)","diag(x, k)"],description:"Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.",examples:["diag(1:3)","diag(1:3, 1)","a = [1, 2, 3; 4, 5, 6; 7, 8, 9]","diag(a)"],seealso:["concat","det","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},wk={name:"diff",category:"Matrix",syntax:["diff(arr)","diff(arr, dim)"],description:["Create a new matrix or array with the difference of the passed matrix or array.","Dim parameter is optional and used to indicant the dimension of the array/matrix to apply the difference","If no dimension parameter is passed it is assumed as dimension 0","Dimension is zero-based in javascript and one-based in the parser","Arrays must be 'rectangular' meaning arrays like [1, 2]","If something is passed as a matrix it will be returned as a matrix but other than that all matrices are converted to arrays"],examples:["A = [1, 2, 4, 7, 0]","diff(A)","diff(A, 1)","B = [[1, 2], [3, 4]]","diff(B)","diff(B, 1)","diff(B, 2)","diff(B, bignumber(2))","diff([[1, 2], matrix([3, 4])], 2)"],seealso:["subtract","partitionSelect"]},Nk={name:"dot",category:"Matrix",syntax:["dot(A, B)","A * B"],description:"Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn",examples:["dot([2, 4, 1], [2, 2, 3])","[2, 4, 1] * [2, 2, 3]"],seealso:["multiply","cross"]},Sk={name:"eigs",category:"Matrix",syntax:["eigs(x)"],description:"Calculate the eigenvalues and optionally eigenvectors of a square matrix",examples:["eigs([[5, 2.3], [2.3, 1]])","eigs([[1, 2, 3], [4, 5, 6], [7, 8, 9]], { precision: 1e-6, eigenvectors: false })"],seealso:["inv"]},Ck={name:"filter",category:"Matrix",syntax:["filter(x, test)"],description:"Filter items in a matrix.",examples:["isPositive(x) = x > 0","filter([6, -2, -1, 4, 3], isPositive)","filter([6, -2, 0, 1, 0], x != 0)"],seealso:["sort","map","forEach"]},Ek={name:"flatten",category:"Matrix",syntax:["flatten(x)"],description:"Flatten a multi dimensional matrix into a single dimensional matrix.",examples:["a = [1, 2, 3; 4, 5, 6]","size(a)","b = flatten(a)","size(b)"],seealso:["concat","resize","size","squeeze"]},Tk={name:"forEach",category:"Matrix",syntax:["forEach(x, callback)"],description:"Iterates over all elements of a matrix/array, and executes the given callback function.",examples:["numberOfPets = {}","addPet(n) = numberOfPets[n] = (numberOfPets[n] ? numberOfPets[n]:0 ) + 1;",'forEach(["Dog","Cat","Cat"], addPet)',"numberOfPets"],seealso:["map","sort","filter"]},Ak={name:"getMatrixDataType",category:"Matrix",syntax:["getMatrixDataType(x)"],description:'Find the data type of all elements in a matrix or array, for example "number" if all items are a number and "Complex" if all values are complex numbers. If a matrix contains more than one data type, it will return "mixed".',examples:["getMatrixDataType([1, 2, 3])","getMatrixDataType([[5 cm], [2 inch]])",'getMatrixDataType([1, "text"])',"getMatrixDataType([1, bignumber(4)])"],seealso:["matrix","sparse","typeOf"]},_k={name:"identity",category:"Matrix",syntax:["identity(n)","identity(m, n)","identity([m, n])"],description:"Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.",examples:["identity(3)","identity(3, 5)","a = [1, 2, 3; 4, 5, 6]","identity(size(a))"],seealso:["concat","det","diag","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]},Mk={name:"inv",category:"Matrix",syntax:["inv(x)"],description:"Calculate the inverse of a matrix",examples:["inv([1, 2; 3, 4])","inv(4)","1 / 4"],seealso:["concat","det","diag","identity","ones","range","size","squeeze","subset","trace","transpose","zeros"]},qk={name:"pinv",category:"Matrix",syntax:["pinv(x)"],description:"Calculate the Moore\u2013Penrose inverse of a matrix",examples:["pinv([1, 2; 3, 4])","pinv([[1, 0], [0, 1], [0, 1]])","pinv(4)"],seealso:["inv"]},Fk={name:"kron",category:"Matrix",syntax:["kron(x, y)"],description:"Calculates the kronecker product of 2 matrices or vectors.",examples:["kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])","kron([1,1], [2,3,4])"],seealso:["multiply","dot","cross"]},Ok={name:"map",category:"Matrix",syntax:["map(x, callback)"],description:"Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.",examples:["map([1, 2, 3], square)"],seealso:["filter","forEach"]},Ik={name:"matrixFromColumns",category:"Matrix",syntax:["matrixFromColumns(...arr)","matrixFromColumns(row1, row2)","matrixFromColumns(row1, row2, row3)"],description:"Create a dense matrix from vectors as individual columns.",examples:["matrixFromColumns([1, 2, 3], [[4],[5],[6]])"],seealso:["matrix","matrixFromRows","matrixFromFunction","zeros"]},kk={name:"matrixFromFunction",category:"Matrix",syntax:["matrixFromFunction(size, fn)","matrixFromFunction(size, fn, format)","matrixFromFunction(size, fn, format, datatype)","matrixFromFunction(size, format, fn)","matrixFromFunction(size, format, datatype, fn)"],description:"Create a matrix by evaluating a generating function at each index.",examples:["f(I) = I[1] - I[2]","matrixFromFunction([3,3], f)","g(I) = I[1] - I[2] == 1 ? 4 : 0",'matrixFromFunction([100, 100], "sparse", g)',"matrixFromFunction([5], random)"],seealso:["matrix","matrixFromRows","matrixFromColumns","zeros"]},Rk={name:"matrixFromRows",category:"Matrix",syntax:["matrixFromRows(...arr)","matrixFromRows(row1, row2)","matrixFromRows(row1, row2, row3)"],description:"Create a dense matrix from vectors as individual rows.",examples:["matrixFromRows([1, 2, 3], [[4],[5],[6]])"],seealso:["matrix","matrixFromColumns","matrixFromFunction","zeros"]},Pk={name:"ones",category:"Matrix",syntax:["ones(m)","ones(m, n)","ones(m, n, p, ...)","ones([m])","ones([m, n])","ones([m, n, p, ...])"],description:"Create a matrix containing ones.",examples:["ones(3)","ones(3, 5)","ones([2,3]) * 4.5","a = [1, 2, 3; 4, 5, 6]","ones(size(a))"],seealso:["concat","det","diag","identity","inv","range","size","squeeze","subset","trace","transpose","zeros"]},Bk={name:"partitionSelect",category:"Matrix",syntax:["partitionSelect(x, k)","partitionSelect(x, k, compare)"],description:"Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.",examples:["partitionSelect([5, 10, 1], 2)",'partitionSelect(["C", "B", "A", "D"], 1, compareText)',"arr = [5, 2, 1]","partitionSelect(arr, 0) # returns 1, arr is now: [1, 2, 5]","arr","partitionSelect(arr, 1, 'desc') # returns 2, arr is now: [5, 2, 1]","arr"],seealso:["sort"]},zk={name:"range",category:"Type",syntax:["start:end","start:step:end","range(start, end)","range(start, end, step)","range(string)"],description:"Create a range. Lower bound of the range is included, upper bound is excluded.",examples:["1:5","3:-1:-3","range(3, 7)","range(0, 12, 2)",'range("4:10")',"range(1m, 1m, 3m)","a = [1, 2, 3, 4; 5, 6, 7, 8]","a[1:2, 1:2]"],seealso:["concat","det","diag","identity","inv","ones","size","squeeze","subset","trace","transpose","zeros"]},Lk={name:"reshape",category:"Matrix",syntax:["reshape(x, sizes)"],description:"Reshape a multi dimensional array to fit the specified dimensions.",examples:["reshape([1, 2, 3, 4, 5, 6], [2, 3])","reshape([[1, 2], [3, 4]], [1, 4])","reshape([[1, 2], [3, 4]], [4])","reshape([1, 2, 3, 4], [-1, 2])"],seealso:["size","squeeze","resize"]},jk={name:"resize",category:"Matrix",syntax:["resize(x, size)","resize(x, size, defaultValue)"],description:"Resize a matrix.",examples:["resize([1,2,3,4,5], [3])","resize([1,2,3], [5])","resize([1,2,3], [5], -1)","resize(2, [2, 3])",'resize("hello", [8], "!")'],seealso:["size","subset","squeeze","reshape"]},Uk={name:"rotate",category:"Matrix",syntax:["rotate(w, theta)","rotate(w, theta, v)"],description:"Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.",examples:["rotate([1, 0], pi / 2)",'rotate(matrix([1, 0]), unit("35deg"))','rotate([1, 0, 0], unit("90deg"), [0, 0, 1])','rotate(matrix([1, 0, 0]), unit("90deg"), matrix([0, 0, 1]))'],seealso:["matrix","rotationMatrix"]},Gk={name:"rotationMatrix",category:"Matrix",syntax:["rotationMatrix(theta)","rotationMatrix(theta, v)","rotationMatrix(theta, v, format)"],description:"Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.",examples:["rotationMatrix(pi / 2)",'rotationMatrix(unit("45deg"), [0, 0, 1])','rotationMatrix(1, matrix([0, 0, 1]), "sparse")'],seealso:["cos","sin"]},Qk={name:"row",category:"Matrix",syntax:["row(x, index)"],description:"Return a row from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","row(A, 1)","row(A, 2)"],seealso:["column","matrixFromRows"]},Hk={name:"size",category:"Matrix",syntax:["size(x)"],description:"Calculate the size of a matrix.",examples:["size(2.3)",'size("hello world")',"a = [1, 2; 3, 4; 5, 6]","size(a)","size(1:6)"],seealso:["concat","count","det","diag","identity","inv","ones","range","squeeze","subset","trace","transpose","zeros"]},Jk={name:"sort",category:"Matrix",syntax:["sort(x)","sort(x, compare)"],description:'Sort the items in a matrix. Compare can be a string "asc", "desc", "natural", or a custom sort function.',examples:["sort([5, 10, 1])",'sort(["C", "B", "A", "D"], "natural")',"sortByLength(a, b) = size(a)[1] - size(b)[1]",'sort(["Langdon", "Tom", "Sara"], sortByLength)','sort(["10", "1", "2"], "natural")'],seealso:["map","filter","forEach"]},Wk={name:"squeeze",category:"Matrix",syntax:["squeeze(x)"],description:"Remove inner and outer singleton dimensions from a matrix.",examples:["a = zeros(3,2,1)","size(squeeze(a))","b = zeros(1,1,3)","size(squeeze(b))"],seealso:["concat","det","diag","identity","inv","ones","range","size","subset","trace","transpose","zeros"]},Vk={name:"subset",category:"Matrix",syntax:["value(index)","value(index) = replacement","subset(value, [index])","subset(value, [index], replacement)"],description:"Get or set a subset of the entries of a matrix or characters of a string. Indexes are one-based. There should be one index specification for each dimension of the target. Each specification can be a single index, a list of indices, or a range in colon notation `l:u`. In a range, both the lower bound l and upper bound u are included; and if a bound is omitted it defaults to the most extreme valid value. The cartesian product of the indices specified in each dimension determines the target of the operation.",examples:["d = [1, 2; 3, 4]","e = []","e[1, 1:2] = [5, 6]","e[2, :] = [7, 8]","f = d * e","f[2, 1]","f[:, 1]","f[[1,2], [1,3]] = [9, 10; 11, 12]","f"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","trace","transpose","zeros"]},Yk={name:"trace",category:"Matrix",syntax:["trace(A)"],description:"Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.",examples:["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]","trace(A)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","transpose","zeros"]},$k={name:"transpose",category:"Matrix",syntax:["x'","transpose(x)"],description:"Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","transpose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]},Zk={name:"zeros",category:"Matrix",syntax:["zeros(m)","zeros(m, n)","zeros(m, n, p, ...)","zeros([m])","zeros([m, n])","zeros([m, n, p, ...])"],description:"Create a matrix containing zeros.",examples:["zeros(3)","zeros(3, 5)","a = [1, 2, 3; 4, 5, 6]","zeros(size(a))"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose"]},Kk={name:"fft",category:"Matrix",syntax:["fft(x)"],description:"Calculate N-dimensional fourier transform",examples:["fft([[1, 0], [1, 0]])"],seealso:["ifft"]},Xk={name:"ifft",category:"Matrix",syntax:["ifft(x)"],description:"Calculate N-dimensional inverse fourier transform",examples:["ifft([[2, 2], [0, 0]])"],seealso:["fft"]},e4={name:"combinations",category:"Probability",syntax:["combinations(n, k)"],description:"Compute the number of combinations of n items taken k at a time",examples:["combinations(7, 5)"],seealso:["combinationsWithRep","permutations","factorial"]},t4={name:"combinationsWithRep",category:"Probability",syntax:["combinationsWithRep(n, k)"],description:"Compute the number of combinations of n items taken k at a time with replacements.",examples:["combinationsWithRep(7, 5)"],seealso:["combinations","permutations","factorial"]},r4={name:"factorial",category:"Probability",syntax:["n!","factorial(n)"],description:"Compute the factorial of a value",examples:["5!","5 * 4 * 3 * 2 * 1","3!"],seealso:["combinations","combinationsWithRep","permutations","gamma"]},n4={name:"gamma",category:"Probability",syntax:["gamma(n)"],description:"Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.",examples:["gamma(4)","3!","gamma(1/2)","sqrt(pi)"],seealso:["factorial"]},i4={name:"lgamma",category:"Probability",syntax:["lgamma(n)"],description:"Logarithm of the gamma function for real, positive numbers and complex numbers, using Lanczos approximation for numbers and Stirling series for complex numbers.",examples:["lgamma(4)","lgamma(1/2)","lgamma(i)","lgamma(complex(1.1, 2))"],seealso:["gamma"]},a4={name:"kldivergence",category:"Probability",syntax:["kldivergence(x, y)"],description:"Calculate the Kullback-Leibler (KL) divergence between two distributions.",examples:["kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"],seealso:[]},s4={name:"multinomial",category:"Probability",syntax:["multinomial(A)"],description:"Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai > 0.",examples:["multinomial([1, 2, 1])"],seealso:["combinations","factorial"]},o4={name:"permutations",category:"Probability",syntax:["permutations(n)","permutations(n, k)"],description:"Compute the number of permutations of n items taken k at a time",examples:["permutations(5)","permutations(5, 3)"],seealso:["combinations","combinationsWithRep","factorial"]},u4={name:"pickRandom",category:"Probability",syntax:["pickRandom(array)","pickRandom(array, number)","pickRandom(array, weights)","pickRandom(array, number, weights)","pickRandom(array, weights, number)"],description:"Pick a random entry from a given array.",examples:["pickRandom(0:10)","pickRandom([1, 3, 1, 6])","pickRandom([1, 3, 1, 6], 2)","pickRandom([1, 3, 1, 6], [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)"],seealso:["random","randomInt"]},c4={name:"random",category:"Probability",syntax:["random()","random(max)","random(min, max)","random(size)","random(size, max)","random(size, min, max)"],description:"Return a random number.",examples:["random()","random(10, 20)","random([2, 3])"],seealso:["pickRandom","randomInt"]},l4={name:"randomInt",category:"Probability",syntax:["randomInt(max)","randomInt(min, max)","randomInt(size)","randomInt(size, max)","randomInt(size, min, max)"],description:"Return a random integer number",examples:["randomInt(10, 20)","randomInt([2, 3], 10)"],seealso:["pickRandom","random"]},p4={name:"compare",category:"Relational",syntax:["compare(x, y)"],description:"Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compare(2, 3)","compare(3, 2)","compare(2, 2)","compare(5cm, 40mm)","compare(2, [1, 2, 3])"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compareNatural","compareText"]},d4={name:"compareNatural",category:"Relational",syntax:["compareNatural(x, y)"],description:"Compare two values of any type in a deterministic, natural way. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compareNatural(2, 3)","compareNatural(3, 2)","compareNatural(2, 2)","compareNatural(5cm, 40mm)",'compareNatural("2", "10")',"compareNatural(2 + 3i, 2 + 4i)","compareNatural([1, 2, 4], [1, 2, 3])","compareNatural([1, 5], [1, 2, 3])","compareNatural([1, 2], [1, 2])","compareNatural({a: 2}, {a: 4})"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare","compareText"]},m4={name:"compareText",category:"Relational",syntax:["compareText(x, y)"],description:"Compare two strings lexically. Comparison is case sensitive. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:['compareText("B", "A")','compareText("A", "B")','compareText("A", "A")','compareText("2", "10")','compare("2", "10")',"compare(2, 10)",'compareNatural("2", "10")','compareText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural"]},h4={name:"deepEqual",category:"Relational",syntax:["deepEqual(x, y)"],description:"Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.",examples:["deepEqual([1,3,4], [1,3,4])","deepEqual([1,3,4], [1,3])"],seealso:["equal","unequal","smaller","larger","smallerEq","largerEq","compare"]},f4={name:"equal",category:"Relational",syntax:["x == y","equal(x, y)"],description:"Check equality of two values. Returns true if the values are equal, and false if not.",examples:["2+2 == 3","2+2 == 4","a = 3.2","b = 6-2.8","a == b","50cm == 0.5m"],seealso:["unequal","smaller","larger","smallerEq","largerEq","compare","deepEqual","equalText"]},g4={name:"equalText",category:"Relational",syntax:["equalText(x, y)"],description:"Check equality of two strings. Comparison is case sensitive. Returns true if the values are equal, and false if not.",examples:['equalText("Hello", "Hello")','equalText("a", "A")','equal("2e3", "2000")','equalText("2e3", "2000")','equalText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural","compareText","equal"]},y4={name:"larger",category:"Relational",syntax:["x > y","larger(x, y)"],description:"Check if value x is larger than y. Returns true if x is larger than y, and false if not.",examples:["2 > 3","5 > 2*2","a = 3.3","b = 6-2.8","(a > b)","(b < a)","5 cm > 2 inch"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare"]},x4={name:"largerEq",category:"Relational",syntax:["x >= y","largerEq(x, y)"],description:"Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.",examples:["2 >= 1+1","2 > 1+1","a = 3.2","b = 6-2.8","(a >= b)"],seealso:["equal","unequal","smallerEq","smaller","compare"]},v4={name:"smaller",category:"Relational",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallerEq","largerEq","compare"]},b4={name:"smallerEq",category:"Relational",syntax:["x <= y","smallerEq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.",examples:["2 <= 1+1","2 < 1+1","a = 3.2","b = 6-2.8","(a <= b)"],seealso:["equal","unequal","larger","smaller","largerEq","compare"]},D4={name:"unequal",category:"Relational",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns true if the values are unequal, and false if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]},w4={name:"setCartesian",category:"Set",syntax:["setCartesian(set1, set2)"],description:"Create the cartesian product of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays and the values will be sorted in ascending order before the operation.",examples:["setCartesian([1, 2], [3, 4])"],seealso:["setUnion","setIntersect","setDifference","setPowerset"]},N4={name:"setDifference",category:"Set",syntax:["setDifference(set1, set2)"],description:"Create the difference of two (multi)sets: every element of set1, that is not the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setDifference([1, 2, 3, 4], [3, 4, 5, 6])","setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setSymDifference"]},S4={name:"setDistinct",category:"Set",syntax:["setDistinct(set)"],description:"Collect the distinct elements of a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setDistinct([1, 1, 1, 2, 2, 3])"],seealso:["setMultiplicity"]},C4={name:"setIntersect",category:"Set",syntax:["setIntersect(set1, set2)"],description:"Create the intersection of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIntersect([1, 2, 3, 4], [3, 4, 5, 6])","setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setDifference"]},E4={name:"setIsSubset",category:"Set",syntax:["setIsSubset(set1, set2)"],description:"Check whether a (multi)set is a subset of another (multi)set: every element of set1 is the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIsSubset([1, 2], [3, 4, 5, 6])","setIsSubset([3, 4], [3, 4, 5, 6])"],seealso:["setUnion","setIntersect","setDifference"]},T4={name:"setMultiplicity",category:"Set",syntax:["setMultiplicity(element, set)"],description:"Count the multiplicity of an element in a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setMultiplicity(1, [1, 2, 2, 4])","setMultiplicity(2, [1, 2, 2, 4])"],seealso:["setDistinct","setSize"]},A4={name:"setPowerset",category:"Set",syntax:["setPowerset(set)"],description:"Create the powerset of a (multi)set: the powerset contains very possible subsets of a (multi)set. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setPowerset([1, 2, 3])"],seealso:["setCartesian"]},_4={name:"setSize",category:"Set",syntax:["setSize(set)","setSize(set, unique)"],description:'Count the number of elements of a (multi)set. When the second parameter "unique" is true, count only the unique values. A multi-dimension array will be converted to a single-dimension array before the operation.',examples:["setSize([1, 2, 2, 4])","setSize([1, 2, 2, 4], true)"],seealso:["setUnion","setIntersect","setDifference"]},M4={name:"setSymDifference",category:"Set",syntax:["setSymDifference(set1, set2)"],description:"Create the symmetric difference of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])","setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setDifference"]},q4={name:"setUnion",category:"Set",syntax:["setUnion(set1, set2)"],description:"Create the union of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setUnion([1, 2, 3, 4], [3, 4, 5, 6])","setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setIntersect","setDifference"]},F4={name:"zpk2tf",category:"Signal",syntax:["zpk2tf(z, p, k)"],description:"Compute the transfer function of a zero-pole-gain model.",examples:["zpk2tf([1, 2], [-1, -2], 1)","zpk2tf([1, 2], [-1, -2])","zpk2tf([1 - 3i, 2 + 2i], [-1, -2])"],seealso:[]},O4={name:"freqz",category:"Signal",syntax:["freqz(b, a)","freqz(b, a, w)"],description:"Calculates the frequency response of a filter given its numerator and denominator coefficients.",examples:["freqz([1, 2], [1, 2, 3])","freqz([1, 2], [1, 2, 3], [0, 1])","freqz([1, 2], [1, 2, 3], 512)"],seealso:[]},I4={name:"erf",category:"Special",syntax:["erf(x)"],description:"Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x",examples:["erf(0.2)","erf(-0.5)","erf(4)"],seealso:[]},k4={name:"zeta",category:"Special",syntax:["zeta(s)"],description:"Compute the Riemann Zeta Function using an infinite series and Riemanns Functional Equation for the entire complex plane",examples:["zeta(0.2)","zeta(-0.5)","zeta(4)"],seealso:[]},R4={name:"mad",category:"Statistics",syntax:["mad(a, b, c, ...)","mad(A)"],description:"Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.",examples:["mad(10, 20, 30)","mad([1, 2, 3])"],seealso:["mean","median","std","abs"]},P4={name:"max",category:"Statistics",syntax:["max(a, b, c, ...)","max(A)","max(A, dimension)"],description:"Compute the maximum value of a list of values.",examples:["max(2, 3, 4, 1)","max([2, 3, 4, 1])","max([2, 5; 4, 3])","max([2, 5; 4, 3], 1)","max([2, 5; 4, 3], 2)","max(2.7, 7.1, -4.5, 2.0, 4.1)","min(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["mean","median","min","prod","std","sum","variance"]},B4={name:"mean",category:"Statistics",syntax:["mean(a, b, c, ...)","mean(A)","mean(A, dimension)"],description:"Compute the arithmetic mean of a list of values.",examples:["mean(2, 3, 4, 1)","mean([2, 3, 4, 1])","mean([2, 5; 4, 3])","mean([2, 5; 4, 3], 1)","mean([2, 5; 4, 3], 2)","mean([1.0, 2.7, 3.2, 4.0])"],seealso:["max","median","min","prod","std","sum","variance"]},z4={name:"median",category:"Statistics",syntax:["median(a, b, c, ...)","median(A)"],description:"Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.",examples:["median(5, 2, 7)","median([3, -1, 5, 7])"],seealso:["max","mean","min","prod","std","sum","variance","quantileSeq"]},L4={name:"min",category:"Statistics",syntax:["min(a, b, c, ...)","min(A)","min(A, dimension)"],description:"Compute the minimum value of a list of values.",examples:["min(2, 3, 4, 1)","min([2, 3, 4, 1])","min([2, 5; 4, 3])","min([2, 5; 4, 3], 1)","min([2, 5; 4, 3], 2)","min(2.7, 7.1, -4.5, 2.0, 4.1)","max(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["max","mean","median","prod","std","sum","variance"]},j4={name:"mode",category:"Statistics",syntax:["mode(a, b, c, ...)","mode(A)","mode(A, a, b, B, c, ...)"],description:"Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.",examples:["mode(2, 1, 4, 3, 1)","mode([1, 2.7, 3.2, 4, 2.7])","mode(1, 4, 6, 1, 6)"],seealso:["max","mean","min","median","prod","std","sum","variance"]},U4={name:"prod",category:"Statistics",syntax:["prod(a, b, c, ...)","prod(A)"],description:"Compute the product of all values.",examples:["prod(2, 3, 4)","prod([2, 3, 4])","prod([2, 5; 4, 3])"],seealso:["max","mean","min","median","min","std","sum","variance"]},G4={name:"quantileSeq",category:"Statistics",syntax:["quantileSeq(A, prob[, sorted])","quantileSeq(A, [prob1, prob2, ...][, sorted])","quantileSeq(A, N[, sorted])"],description:`Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. + +In case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.`,examples:["quantileSeq([3, -1, 5, 7], 0.5)","quantileSeq([3, -1, 5, 7], [1/3, 2/3])","quantileSeq([3, -1, 5, 7], 2)","quantileSeq([-1, 3, 5, 7], 0.5, true)"],seealso:["mean","median","min","max","prod","std","sum","variance"]},Q4={name:"std",category:"Statistics",syntax:["std(a, b, c, ...)","std(A)","std(A, dimension)","std(A, normalization)","std(A, dimension, normalization)"],description:'Compute the standard deviation of all values, defined as std(A) = sqrt(variance(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["std(2, 4, 6)","std([2, 4, 6, 8])",'std([2, 4, 6, 8], "uncorrected")','std([2, 4, 6, 8], "biased")',"std([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","prod","sum","variance"]},H4={name:"cumsum",category:"Statistics",syntax:["cumsum(a, b, c, ...)","cumsum(A)"],description:"Compute the cumulative sum of all values.",examples:["cumsum(2, 3, 4, 1)","cumsum([2, 3, 4, 1])","cumsum([1, 2; 3, 4])","cumsum([1, 2; 3, 4], 1)","cumsum([1, 2; 3, 4], 2)"],seealso:["max","mean","median","min","prod","std","sum","variance"]},J4={name:"sum",category:"Statistics",syntax:["sum(a, b, c, ...)","sum(A)","sum(A, dimension)"],description:"Compute the sum of all values.",examples:["sum(2, 3, 4, 1)","sum([2, 3, 4, 1])","sum([2, 5; 4, 3])"],seealso:["max","mean","median","min","prod","std","sum","variance"]},W4={name:"variance",category:"Statistics",syntax:["variance(a, b, c, ...)","variance(A)","variance(A, dimension)","variance(A, normalization)","variance(A, dimension, normalization)"],description:'Compute the variance of all values. Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["variance(2, 4, 6)","variance([2, 4, 6, 8])",'variance([2, 4, 6, 8], "uncorrected")','variance([2, 4, 6, 8], "biased")',"variance([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","min","prod","std","sum"]},V4={name:"corr",category:"Statistics",syntax:["corr(A,B)"],description:"Compute the correlation coefficient of a two list with values, For matrices, the matrix correlation coefficient is calculated.",examples:["corr([2, 4, 6, 8],[1, 2, 3, 6])","corr(matrix([[1, 2.2, 3, 4.8, 5], [1, 2, 3, 4, 5]]), matrix([[4, 5.3, 6.6, 7, 8], [1, 2, 3, 4, 5]]))"],seealso:["max","mean","min","median","min","prod","std","sum"]},Y4={name:"acos",category:"Trigonometry",syntax:["acos(x)"],description:"Compute the inverse cosine of a value in radians.",examples:["acos(0.5)","acos(cos(2.3))"],seealso:["cos","atan","asin"]},$4={name:"acosh",category:"Trigonometry",syntax:["acosh(x)"],description:"Calculate the hyperbolic arccos of a value, defined as `acosh(x) = ln(sqrt(x^2 - 1) + x)`.",examples:["acosh(1.5)"],seealso:["cosh","asinh","atanh"]},Z4={name:"acot",category:"Trigonometry",syntax:["acot(x)"],description:"Calculate the inverse cotangent of a value.",examples:["acot(0.5)","acot(cot(0.5))","acot(2)"],seealso:["cot","atan"]},K4={name:"acoth",category:"Trigonometry",syntax:["acoth(x)"],description:"Calculate the hyperbolic arccotangent of a value, defined as `acoth(x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.",examples:["acoth(2)","acoth(0.5)"],seealso:["acsch","asech"]},X4={name:"acsc",category:"Trigonometry",syntax:["acsc(x)"],description:"Calculate the inverse cotangent of a value.",examples:["acsc(2)","acsc(csc(0.5))","acsc(0.5)"],seealso:["csc","asin","asec"]},e7={name:"acsch",category:"Trigonometry",syntax:["acsch(x)"],description:"Calculate the hyperbolic arccosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.",examples:["acsch(0.5)"],seealso:["asech","acoth"]},t7={name:"asec",category:"Trigonometry",syntax:["asec(x)"],description:"Calculate the inverse secant of a value.",examples:["asec(0.5)","asec(sec(0.5))","asec(2)"],seealso:["acos","acot","acsc"]},r7={name:"asech",category:"Trigonometry",syntax:["asech(x)"],description:"Calculate the inverse secant of a value.",examples:["asech(0.5)"],seealso:["acsch","acoth"]},n7={name:"asin",category:"Trigonometry",syntax:["asin(x)"],description:"Compute the inverse sine of a value in radians.",examples:["asin(0.5)","asin(sin(0.5))"],seealso:["sin","acos","atan"]},i7={name:"asinh",category:"Trigonometry",syntax:["asinh(x)"],description:"Calculate the hyperbolic arcsine of a value, defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`.",examples:["asinh(0.5)"],seealso:["acosh","atanh"]},a7={name:"atan",category:"Trigonometry",syntax:["atan(x)"],description:"Compute the inverse tangent of a value in radians.",examples:["atan(0.5)","atan(tan(0.5))"],seealso:["tan","acos","asin"]},s7={name:"atan2",category:"Trigonometry",syntax:["atan2(y, x)"],description:"Computes the principal value of the arc tangent of y/x in radians.",examples:["atan2(2, 2) / pi","angle = 60 deg in rad","x = cos(angle)","y = sin(angle)","atan2(y, x)"],seealso:["sin","cos","tan"]},o7={name:"atanh",category:"Trigonometry",syntax:["atanh(x)"],description:"Calculate the hyperbolic arctangent of a value, defined as `atanh(x) = ln((1 + x)/(1 - x)) / 2`.",examples:["atanh(0.5)"],seealso:["acosh","asinh"]},u7={name:"cos",category:"Trigonometry",syntax:["cos(x)"],description:"Compute the cosine of x in radians.",examples:["cos(2)","cos(pi / 4) ^ 2","cos(180 deg)","cos(60 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["acos","sin","tan"]},c7={name:"cosh",category:"Trigonometry",syntax:["cosh(x)"],description:"Compute the hyperbolic cosine of x in radians.",examples:["cosh(0.5)"],seealso:["sinh","tanh","coth"]},l7={name:"cot",category:"Trigonometry",syntax:["cot(x)"],description:"Compute the cotangent of x in radians. Defined as 1/tan(x)",examples:["cot(2)","1 / tan(2)"],seealso:["sec","csc","tan"]},p7={name:"coth",category:"Trigonometry",syntax:["coth(x)"],description:"Compute the hyperbolic cotangent of x in radians.",examples:["coth(2)","1 / tanh(2)"],seealso:["sech","csch","tanh"]},d7={name:"csc",category:"Trigonometry",syntax:["csc(x)"],description:"Compute the cosecant of x in radians. Defined as 1/sin(x)",examples:["csc(2)","1 / sin(2)"],seealso:["sec","cot","sin"]},m7={name:"csch",category:"Trigonometry",syntax:["csch(x)"],description:"Compute the hyperbolic cosecant of x in radians. Defined as 1/sinh(x)",examples:["csch(2)","1 / sinh(2)"],seealso:["sech","coth","sinh"]},h7={name:"sec",category:"Trigonometry",syntax:["sec(x)"],description:"Compute the secant of x in radians. Defined as 1/cos(x)",examples:["sec(2)","1 / cos(2)"],seealso:["cot","csc","cos"]},f7={name:"sech",category:"Trigonometry",syntax:["sech(x)"],description:"Compute the hyperbolic secant of x in radians. Defined as 1/cosh(x)",examples:["sech(2)","1 / cosh(2)"],seealso:["coth","csch","cosh"]},g7={name:"sin",category:"Trigonometry",syntax:["sin(x)"],description:"Compute the sine of x in radians.",examples:["sin(2)","sin(pi / 4) ^ 2","sin(90 deg)","sin(30 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["asin","cos","tan"]},y7={name:"sinh",category:"Trigonometry",syntax:["sinh(x)"],description:"Compute the hyperbolic sine of x in radians.",examples:["sinh(0.5)"],seealso:["cosh","tanh"]},x7={name:"tan",category:"Trigonometry",syntax:["tan(x)"],description:"Compute the tangent of x in radians.",examples:["tan(0.5)","sin(0.5) / cos(0.5)","tan(pi / 4)","tan(45 deg)"],seealso:["atan","sin","cos"]},v7={name:"tanh",category:"Trigonometry",syntax:["tanh(x)"],description:"Compute the hyperbolic tangent of x in radians.",examples:["tanh(0.5)","sinh(0.5) / cosh(0.5)"],seealso:["sinh","cosh"]},b7={name:"to",category:"Units",syntax:["x to unit","to(x, unit)"],description:"Change the unit of a value.",examples:["5 inch to cm","3.2kg to g","16 bytes in bits"],seealso:[]},D7={name:"bin",category:"Utils",syntax:["bin(value)"],description:"Format a number as binary",examples:["bin(2)"],seealso:["oct","hex"]},w7={name:"clone",category:"Utils",syntax:["clone(x)"],description:"Clone a variable. Creates a copy of primitive variables,and a deep copy of matrices",examples:["clone(3.5)","clone(2 - 4i)","clone(45 deg)","clone([1, 2; 3, 4])",'clone("hello world")'],seealso:[]},N7={name:"format",category:"Utils",syntax:["format(value)","format(value, precision)"],description:"Format a value of any type as string.",examples:["format(2.3)","format(3 - 4i)","format([])","format(pi, 3)"],seealso:["print"]},S7={name:"hasNumericValue",category:"Utils",syntax:["hasNumericValue(x)"],description:"Test whether a value is an numeric value. In case of a string, true is returned if the string contains a numeric value.",examples:["hasNumericValue(2)",'hasNumericValue("2")','isNumeric("2")',"hasNumericValue(0)","hasNumericValue(bignumber(500))","hasNumericValue(fraction(0.125))","hasNumericValue(2 + 3i)",'hasNumericValue([2.3, "foo", false])'],seealso:["isInteger","isZero","isNegative","isPositive","isNaN","isNumeric"]},C7={name:"hex",category:"Utils",syntax:["hex(value)"],description:"Format a number as hexadecimal",examples:["hex(240)"],seealso:["bin","oct"]},E7={name:"isInteger",category:"Utils",syntax:["isInteger(x)"],description:"Test whether a value is an integer number.",examples:["isInteger(2)","isInteger(3.5)","isInteger([3, 0.5, -2])"],seealso:["isNegative","isNumeric","isPositive","isZero"]},T7={name:"isNaN",category:"Utils",syntax:["isNaN(x)"],description:"Test whether a value is NaN (not a number)",examples:["isNaN(2)","isNaN(0 / 0)","isNaN(NaN)","isNaN(Infinity)"],seealso:["isNegative","isNumeric","isPositive","isZero"]},A7={name:"isNegative",category:"Utils",syntax:["isNegative(x)"],description:"Test whether a value is negative: smaller than zero.",examples:["isNegative(2)","isNegative(0)","isNegative(-4)","isNegative([3, 0.5, -2])"],seealso:["isInteger","isNumeric","isPositive","isZero"]},_7={name:"isNumeric",category:"Utils",syntax:["isNumeric(x)"],description:"Test whether a value is a numeric value. Returns true when the input is a number, BigNumber, Fraction, or boolean.",examples:["isNumeric(2)",'isNumeric("2")','hasNumericValue("2")',"isNumeric(0)","isNumeric(bignumber(500))","isNumeric(fraction(0.125))","isNumeric(2 + 3i)",'isNumeric([2.3, "foo", false])'],seealso:["isInteger","isZero","isNegative","isPositive","isNaN","hasNumericValue"]},M7={name:"isPositive",category:"Utils",syntax:["isPositive(x)"],description:"Test whether a value is positive: larger than zero.",examples:["isPositive(2)","isPositive(0)","isPositive(-4)","isPositive([3, 0.5, -2])"],seealso:["isInteger","isNumeric","isNegative","isZero"]},q7={name:"isPrime",category:"Utils",syntax:["isPrime(x)"],description:"Test whether a value is prime: has no divisors other than itself and one.",examples:["isPrime(3)","isPrime(-2)","isPrime([2, 17, 100])"],seealso:["isInteger","isNumeric","isNegative","isZero"]},F7={name:"isZero",category:"Utils",syntax:["isZero(x)"],description:"Test whether a value is zero.",examples:["isZero(2)","isZero(0)","isZero(-4)","isZero([3, 0, -2, 0])"],seealso:["isInteger","isNumeric","isNegative","isPositive"]},O7={name:"numeric",category:"Utils",syntax:["numeric(x)"],description:"Convert a numeric input to a specific numeric type: number, BigNumber, bigint, or Fraction.",examples:['numeric("4")','numeric("4", "number")','numeric("4", "bigint")','numeric("4", "BigNumber")','numeric("4", "Fraction")','numeric(4, "Fraction")','numeric(fraction(2, 5), "number")'],seealso:["number","bigint","fraction","bignumber","string","format"]},I7={name:"oct",category:"Utils",syntax:["oct(value)"],description:"Format a number as octal",examples:["oct(56)"],seealso:["bin","hex"]},k7={name:"print",category:"Utils",syntax:["print(template, values)","print(template, values, precision)"],description:"Interpolate values into a string template.",examples:['print("Lucy is $age years old", {age: 5})','print("The value of pi is $pi", {pi: pi}, 3)','print("Hello, $user.name!", {user: {name: "John"}})','print("Values: $1, $2, $3", [6, 9, 4])'],seealso:["format"]},R7={name:"typeOf",category:"Utils",syntax:["typeOf(x)"],description:"Get the type of a variable.",examples:["typeOf(3.5)","typeOf(2 - 4i)","typeOf(45 deg)",'typeOf("hello world")'],seealso:["getMatrixDataType"]},P7={name:"solveODE",category:"Numeric",syntax:["solveODE(func, tspan, y0)","solveODE(func, tspan, y0, options)"],description:"Numerical Integration of Ordinary Differential Equations.",examples:["f(t,y) = y","tspan = [0, 4]","solveODE(f, tspan, 1)","solveODE(f, tspan, [1, 2])",'solveODE(f, tspan, 1, { method:"RK23", maxStep:0.1 })'],seealso:["derivative","simplifyCore"]},KD={bignumber:TI,bigint:AI,boolean:_I,complex:MI,createUnit:qI,fraction:FI,index:OI,matrix:II,number:kI,sparse:RI,splitUnit:PI,string:BI,unit:zI,e:$D,E:$D,false:dI,i:mI,Infinity:hI,LN2:gI,LN10:fI,LOG2E:xI,LOG10E:yI,NaN:vI,null:bI,pi:ZD,PI:ZD,phi:DI,SQRT1_2:wI,SQRT2:NI,tau:SI,true:CI,version:EI,speedOfLight:{description:"Speed of light in vacuum",examples:["speedOfLight"]},gravitationConstant:{description:"Newtonian constant of gravitation",examples:["gravitationConstant"]},planckConstant:{description:"Planck constant",examples:["planckConstant"]},reducedPlanckConstant:{description:"Reduced Planck constant",examples:["reducedPlanckConstant"]},magneticConstant:{description:"Magnetic constant (vacuum permeability)",examples:["magneticConstant"]},electricConstant:{description:"Electric constant (vacuum permeability)",examples:["electricConstant"]},vacuumImpedance:{description:"Characteristic impedance of vacuum",examples:["vacuumImpedance"]},coulomb:{description:"Coulomb's constant",examples:["coulomb"]},elementaryCharge:{description:"Elementary charge",examples:["elementaryCharge"]},bohrMagneton:{description:"Borh magneton",examples:["bohrMagneton"]},conductanceQuantum:{description:"Conductance quantum",examples:["conductanceQuantum"]},inverseConductanceQuantum:{description:"Inverse conductance quantum",examples:["inverseConductanceQuantum"]},magneticFluxQuantum:{description:"Magnetic flux quantum",examples:["magneticFluxQuantum"]},nuclearMagneton:{description:"Nuclear magneton",examples:["nuclearMagneton"]},klitzing:{description:"Von Klitzing constant",examples:["klitzing"]},bohrRadius:{description:"Borh radius",examples:["bohrRadius"]},classicalElectronRadius:{description:"Classical electron radius",examples:["classicalElectronRadius"]},electronMass:{description:"Electron mass",examples:["electronMass"]},fermiCoupling:{description:"Fermi coupling constant",examples:["fermiCoupling"]},fineStructure:{description:"Fine-structure constant",examples:["fineStructure"]},hartreeEnergy:{description:"Hartree energy",examples:["hartreeEnergy"]},protonMass:{description:"Proton mass",examples:["protonMass"]},deuteronMass:{description:"Deuteron Mass",examples:["deuteronMass"]},neutronMass:{description:"Neutron mass",examples:["neutronMass"]},quantumOfCirculation:{description:"Quantum of circulation",examples:["quantumOfCirculation"]},rydberg:{description:"Rydberg constant",examples:["rydberg"]},thomsonCrossSection:{description:"Thomson cross section",examples:["thomsonCrossSection"]},weakMixingAngle:{description:"Weak mixing angle",examples:["weakMixingAngle"]},efimovFactor:{description:"Efimov factor",examples:["efimovFactor"]},atomicMass:{description:"Atomic mass constant",examples:["atomicMass"]},avogadro:{description:"Avogadro's number",examples:["avogadro"]},boltzmann:{description:"Boltzmann constant",examples:["boltzmann"]},faraday:{description:"Faraday constant",examples:["faraday"]},firstRadiation:{description:"First radiation constant",examples:["firstRadiation"]},loschmidt:{description:"Loschmidt constant at T=273.15 K and p=101.325 kPa",examples:["loschmidt"]},gasConstant:{description:"Gas constant",examples:["gasConstant"]},molarPlanckConstant:{description:"Molar Planck constant",examples:["molarPlanckConstant"]},molarVolume:{description:"Molar volume of an ideal gas at T=273.15 K and p=101.325 kPa",examples:["molarVolume"]},sackurTetrode:{description:"Sackur-Tetrode constant at T=1 K and p=101.325 kPa",examples:["sackurTetrode"]},secondRadiation:{description:"Second radiation constant",examples:["secondRadiation"]},stefanBoltzmann:{description:"Stefan-Boltzmann constant",examples:["stefanBoltzmann"]},wienDisplacement:{description:"Wien displacement law constant",examples:["wienDisplacement"]},molarMass:{description:"Molar mass constant",examples:["molarMass"]},molarMassC12:{description:"Molar mass constant of carbon-12",examples:["molarMassC12"]},gravity:{description:"Standard acceleration of gravity (standard acceleration of free-fall on Earth)",examples:["gravity"]},planckLength:{description:"Planck length",examples:["planckLength"]},planckMass:{description:"Planck mass",examples:["planckMass"]},planckTime:{description:"Planck time",examples:["planckTime"]},planckCharge:{description:"Planck charge",examples:["planckCharge"]},planckTemperature:{description:"Planck 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Ge=Vo({config:Ie}),Ot=Yo({}),H0=xm({BigNumber:Ge,config:Ie}),e2=dm({}),t2=Wm({BigNumber:Ge,config:Ie}),Pi=Zo({}),J0=Em({Complex:Ot}),r2=hm({BigNumber:Ge,config:Ie}),n2=Dm({BigNumber:Ge,config:Ie}),i2=Nm({BigNumber:Ge,config:Ie}),Xa=Xo({}),a2=fm({BigNumber:Ge,config:Ie}),s2=mm({}),o2=vm({BigNumber:Ge,config:Ie}),u2=Ko({}),W0=Lo({}),c2=Sm({BigNumber:Ge,config:Ie}),l2=dh({BigNumber:Ge,config:Ie}),V0=ym({BigNumber:Ge,config:Ie}),p2=pm({}),d2=Tm({}),xt=su({Matrix:Xa}),m2=rh({BigNumber:Ge,config:Ie}),h2=bm({BigNumber:Ge,config:Ie}),Bi=gm({BigNumber:Ge,config:Ie}),f2=lm({}),g2=Cm({BigNumber:Ge,config:Ie}),se=Ro({BigNumber:Ge,Complex:Ot,DenseMatrix:xt,Fraction:Pi}),y2=th({BigNumber:Ge,config:Ie}),zt=Pu({typed:se}),Y0=Gl({Complex:Ot,config:Ie,typed:se}),x2=Hl({BigNumber:Ge,typed:se}),v2=Wl({BigNumber:Ge,Complex:Ot,config:Ie,typed:se}),fr=zu({typed:se}),oo=dc({typed:se}),b2=$l({BigNumber:Ge,Complex:Ot,config:Ie,typed:se}),D2=Kl({typed:se}),$0=Xl({typed:se}),w2=tp({Complex:Ot,config:Ie,typed:se}),N2=Su({typed:se}),S2=lc({typed:se}),C2=Eu({typed:se}),E2=ou({typed:se}),uo=Pd({typed:se}),Wt=Au({Complex:Ot,typed:se}),Zn=mc({typed:se}),Yh=rp({typed:se}),T2=ip({BigNumber:Ge,typed:se}),Z0=sp({BigNumber:Ge,typed:se}),A2=Gu({typed:se}),wt=Du({config:Ie,typed:se}),_2=jc({typed:se}),K0=Qu({typed:se}),M2=Hu({Complex:Ot,typed:se}),q2=Dc({typed:se}),F2=Nc({typed:se}),es=Hc({typed:se}),$h=Sc({typed:se}),O2=Vc({format:es,typed:se}),ts=hc({typed:se}),rn=lu({typed:se}),mi=mu({config:Ie,typed:se}),zi=gu({config:Ie,typed:se}),Mn=yu({equalScalar:wt,typed:se}),I2=wm({BigNumber:Ge,config:Ie}),k2=Ld({Complex:Ot,typed:se}),R2=Zu({Complex:Ot,config:Ie,typed:se}),hi=Ku({Complex:Ot,config:Ie,typed:se}),Li=Tc({typed:se}),ar=Xu({typed:se}),co=gc({typed:se}),Kn=Nu({typed:se}),P2=Wc({format:es,typed:se}),B2=Hd({config:Ie,typed:se}),z2=Vs({typed:se}),L2=Jd({config:Ie,typed:se}),rs=fc({typed:se}),j2=up({BigNumber:Ge,typed:se}),X0=rc({BigNumber:Ge,Fraction:Pi,complex:Wt,typed:se}),lo=lp({typed:se}),Xn=wu({Matrix:Xa,equalScalar:wt,typed:se}),U2=Iu({typed:se}),G2=ic({typed:se}),Q2=Cu({typed:se}),xn=Lu({typed:se}),H2=dp({typed:se}),eg=vu({typed:se}),J2=Ql({Complex:Ot,config:Ie,typed:se}),W2=Vl({BigNumber:Ge,typed:se}),Zh=Ja({isInteger:rn,typed:se}),V2=Yl({BigNumber:Ge,Complex:Ot,config:Ie,typed:se}),pn=Tu({BigNumber:Ge,typed:se}),Y2=Bd({typed:se}),$2=np({typed:se}),Z2=op({BigNumber:Ge,typed:se}),ns=xu({typed:se}),K2=$c({typed:se}),X2=Wd({config:Ie,typed:se}),eN=cp({BigNumber:Ge,typed:se}),tN=pp({typed:se}),rN=jl({SparseMatrix:Xn,typed:se}),gr=nc({Complex:Ot,config:Ie,typed:se}),nN=mp({typed:se}),Gn=ku({typed:se}),iN=Jl({BigNumber:Ge,Complex:Ot,config:Ie,typed:se}),aN=Jc({format:es,typed:se}),sN=ap({BigNumber:Ge,typed:se}),oa=_u({Fraction:Pi,typed:se}),ji=hu({typed:se}),Le=Mu({DenseMatrix:xt,Matrix:Xa,SparseMatrix:Xn,typed:se}),oN=qu({isZero:Mn,matrix:Le,typed:se}),uN=Gc({isNaN:ns,isNumeric:ji,typed:se}),vn=Zc({bignumber:pn,fraction:oa,number:Kn}),tg=Qc({config:Ie,multiplyScalar:ar,numeric:vn,typed:se}),rg=_c({isInteger:rn,matrix:Le,typed:se}),Er=Oc({matrix:Le,config:Ie,typed:se}),cN=Ic({matrix:Le,typed:se}),is=kc({matrix:Le,typed:se}),ng=sc({BigNumber:Ge,config:Ie,matrix:Le,typed:se}),br=Pc({BigNumber:Ge,config:Ie,matrix:Le,typed:se}),lN=Zl({Complex:Ot,config:Ie,typed:se}),ig=ju({BigNumber:Ge,Complex:Ot,Fraction:Pi,config:Ie,isNegative:mi,matrix:Le,typed:se,unaryMinus:Gn}),_t=js({isInteger:rn,matrix:Le,typed:se}),pN=xc({prod:tg,size:Er,typed:se}),as=Rc({conj:Zn,transpose:is,typed:se}),ag=bc({DenseMatrix:xt,SparseMatrix:Xn,matrix:Le,typed:se}),rr=Kc({numeric:vn,typed:se}),ss=sl({DenseMatrix:xt,concat:_t,divideScalar:rr,equalScalar:wt,matrix:Le,typed:se}),bn=vl({DenseMatrix:xt,concat:_t,equalScalar:wt,matrix:Le,typed:se}),os=wc({matrix:Le,typed:se}),dN=fu({isNumeric:ji,typed:se}),fi=Cc({BigNumber:Ge,DenseMatrix:xt,SparseMatrix:Xn,config:Ie,matrix:Le,typed:se}),mN=Ec({matrix:Le,multiplyScalar:ar,typed:se}),po=Al({DenseMatrix:xt,concat:_t,config:Ie,matrix:Le,typed:se}),hN=pl({DenseMatrix:xt,concat:_t,equalScalar:wt,matrix:Le,typed:se,zeros:br}),sg=ol({DenseMatrix:xt,divideScalar:rr,equalScalar:wt,matrix:Le,multiplyScalar:ar,subtractScalar:xn,typed:se}),Kh=Ou({flatten:os,matrix:Le,size:Er,typed:se}),fN=tc({BigNumber:Ge,concat:_t,equalScalar:wt,matrix:Le,typed:se}),gN=Ac({BigNumber:Ge,config:Ie,matrix:Le,typed:se}),Xh=md({addScalar:fr,complex:Wt,conj:Zn,divideScalar:rr,equal:bn,identity:fi,isZero:Mn,matrix:Le,multiplyScalar:ar,sign:X0,sqrt:gr,subtractScalar:xn,typed:se,unaryMinus:Gn,zeros:br}),yN=Mc({config:Ie,matrix:Le}),xN=dl({DenseMatrix:xt,concat:_t,equalScalar:wt,matrix:Le,typed:se,zeros:br}),Lt=tl({BigNumber:Ge,DenseMatrix:xt,config:Ie,equalScalar:wt,matrix:Le,typed:se,zeros:br}),Jr=wl({DenseMatrix:xt,concat:_t,config:Ie,matrix:Le,typed:se}),Kt=ac({DenseMatrix:xt,concat:_t,equalScalar:wt,matrix:Le,subtractScalar:xn,typed:se,unaryMinus:Gn}),vN=Yc({concat:_t,matrix:Le,typed:se}),ef=Ru({config:Ie,numeric:vn,typed:se}),tf=ul({DenseMatrix:xt,divideScalar:rr,eq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Equal:rf,divideScalar:rr,dot:mo,dotDivide:ss,equal:bn,inv:Gi,matrix:Le,multiply:it,typed:se}),Mt=Xc({Complex:Ot,config:Ie,fraction:oa,identity:fi,inv:Gi,matrix:Le,multiply:it,number:Kn,typed:se}),Sg=yp({DenseMatrix:xt,Index:Pr,compareNatural:Qn,size:Er,subset:dn,typed:se}),eS=Np({Index:Pr,concat:_t,setIntersect:Sg,setSymDifference:bg,size:Er,subset:dn,typed:se}),tS=Ed({abs:zt,add:ut,identity:fi,inv:Gi,map:Li,max:go,multiply:it,size:Er,sqrt:gr,subtract:Kt,typed:se}),st=zl({BigNumber:Ge,Complex:Ot,Fraction:Pi,abs:zt,addScalar:fr,config:Ie,divideScalar:rr,equal:bn,fix:yg,format:es,isNumeric:ji,multiplyScalar:ar,number:Kn,pow:Mt,round:Lt,subtractScalar:xn}),rS=Im({BigNumber:Ge,Unit:st,config:Ie}),nS=fh({BigNumber:Ge,Unit:st,config:Ie}),iS=nh({BigNumber:Ge,Unit:st,config:Ie}),aS=Pm({BigNumber:Ge,Unit:st,config:Ie}),sS=ah({BigNumber:Ge,Unit:st,config:Ie}),oS=Bm({BigNumber:Ge,Unit:st,config:Ie}),uS=km({BigNumber:Ge,Unit:st,config:Ie}),cS=$m({BigNumber:Ge,Unit:st,config:Ie}),lS=al({DenseMatrix:xt,concat:_t,equalScalar:wt,matrix:Le,pow:Mt,typed:se}),pS=Om({BigNumber:Ge,Unit:st,config:Ie}),dS=Rm({BigNumber:Ge,Unit:st,config:Ie}),mS=Cd({abs:zt,add:ut,identity:fi,inv:Gi,multiply:it,typed:se}),hS=sh({BigNumber:Ge,Unit:st,config:Ie}),Cg=Bc({addScalar:fr,ceil:af,conj:Zn,divideScalar:rr,dotDivide:ss,exp:K0,i:J0,log2:hi,matrix:Le,multiplyScalar:ar,pow:Mt,tau:V0,typed:se}),of=zd({BigNumber:Ge,Complex:Ot,config:Ie,multiplyScalar:ar,pow:Mt,typed:se}),fS=_m({BigNumber:Ge,Unit:st,config:Ie}),gS=Vm({BigNumber:Ge,Unit:st,config:Ie}),yS=zc({conj:Zn,dotDivide:ss,fft:Cg,typed:se}),xS=Um({BigNumber:Ge,Unit:st,config:Ie}),vS=uh({BigNumber:Ge,Unit:st,config:Ie}),bS=Fm({BigNumber:Ge,Unit:st,config:Ie}),DS=gh({BigNumber:Ge,Unit:st,config:Ie}),wS=lh({BigNumber:Ge,Unit:st,config:Ie}),NS=Zm({BigNumber:Ge,Unit:st,config:Ie}),SS=jm({BigNumber:Ge,Unit:st,config:Ie}),CS=wh({BigNumber:Ge,Unit:st,config:Ie}),ES=vh({BigNumber:Ge,Unit:st,config:Ie}),TS=Nh({BigNumber:Ge,Unit:st,config:Ie}),AS=Ym({BigNumber:Ge,Unit:st,config:Ie}),_S=Km({BigNumber:Ge,Unit:st,config:Ie}),MS=qm({BigNumber:Ge,Unit:st,config:Ie}),qS=Xm({BigNumber:Ge,Unit:st,config:Ie}),FS=mh({BigNumber:Ge,Unit:st,config:Ie}),OS=Am({BigNumber:Ge,Unit:st,config:Ie}),IS=hh({BigNumber:Ge,Unit:st,config:Ie}),kS=eh({BigNumber:Ge,Unit:st,config:Ie}),RS=ih({BigNumber:Ge,Unit:st,config:Ie}),PS=Gm({BigNumber:Ge,Unit:st,config:Ie}),BS=Ul({Unit:st,typed:se}),ur=Md({divideScalar:rr,equalScalar:wt,inv:Gi,matrix:Le,multiply:it,typed:se}),zS=Hm({BigNumber:Ge,Unit:st,config:Ie}),us=jd({gamma:of,typed:se}),LS=oh({BigNumber:Ge,Unit:st,config:Ie}),jS=xh({BigNumber:Ge,Unit:st,config:Ie}),US=zm({BigNumber:Ge,Unit:st,config:Ie}),Eg=fd({DenseMatrix:xt,lsolve:sg,lup:Ng,matrix:Le,slu:mg,typed:se,usolve:tf}),GS=Lm({BigNumber:Ge,Unit:st,config:Ie}),QS=yh({BigNumber:Ge,Unit:st,config:Ie}),HS=Gd({add:ut,divide:ur,factorial:us,isInteger:rn,isPositive:zi,multiply:it,typed:se}),JS=Qd({factorial:us,typed:se}),WS=bh({BigNumber:Ge,Unit:st,config:Ie}),VS=gd({add:ut,cbrt:ig,divide:ur,equalScalar:wt,im:ts,isZero:Mn,multiply:it,re:rs,sqrt:gr,subtract:Kt,typeOf:eg,typed:se,unaryMinus:Gn}),YS=Dp({compareNatural:Qn,typed:se}),$S=Lc({abs:zt,add:ut,bignumber:pn,divide:ur,isNegative:mi,isPositive:zi,larger:Wr,map:Li,matrix:Le,max:go,multiply:it,smaller:Jr,subtract:Kt,typed:se,unaryMinus:Gn}),Tg=Vd({bignumber:pn,addScalar:fr,combinations:uo,divideScalar:rr,factorial:us,isInteger:rn,isNegative:mi,larger:Wr,multiplyScalar:ar,number:Kn,pow:Mt,subtractScalar:xn,typed:se}),ZS=Ll({Unit:st,typed:se}),KS=Yd({addScalar:fr,isInteger:rn,isNegative:mi,stirlingS2:Tg,typed:se}),Ag=Sd({abs:zt,add:ut,addScalar:fr,atan:$0,bignumber:pn,column:wg,complex:Wt,config:Ie,cos:Yh,diag:ag,divideScalar:rr,dot:mo,equal:bn,flatten:os,im:ts,inv:Gi,larger:Wr,matrix:Le,matrixFromColumns:Kh,multiply:it,multiplyScalar:ar,number:Kn,qr:Xh,re:rs,reshape:rg,sin:lo,size:Er,smaller:Jr,sqrt:gr,subtract:Kt,typed:se,usolve:tf,usolveAll:fg}),XS=Jm({BigNumber:Ge,Unit:st,config:Ie}),eC=ch({BigNumber:Ge,Unit:st,config:Ie}),tC=Ud({divide:ur,dotDivide:ss,isNumeric:ji,log:ho,map:Li,matrix:Le,multiply:it,sum:nf,typed:se}),_g=no({add:ut,divide:ur,typed:se}),rC=ph({BigNumber:Ge,Unit:st,config:Ie}),nC=Mm({BigNumber:Ge,Unit:st,config:Ie}),iC=ao({bignumber:pn,add:ut,compare:Ui,divide:ur,isInteger:rn,larger:Wr,multiply:it,partitionSelect:fo,smaller:Jr,smallerEq:ua,subtract:Kt,typed:se}),uf=io({add:ut,apply:Zh,divide:ur,isNaN:ns,multiply:it,subtract:Kt,typed:se}),aC=Qm({BigNumber:Ge,Unit:st,config:Ie}),Mg=Id({add:ut,compare:Ui,divide:ur,partitionSelect:fo,typed:se}),sC=Rd({add:ut,divide:ur,matrix:Le,mean:_g,multiply:it,pow:Mt,sqrt:gr,subtract:Kt,sum:nf,typed:se}),oC=um({Complex:Ot,add:ut,divide:ur,matrix:Le,multiply:it,typed:se}),uC=kd({abs:zt,map:Li,median:Mg,subtract:Kt,typed:se}),cC=so({map:Li,sqrt:gr,typed:se,variance:uf}),lC=Uc({BigNumber:Ge,Complex:Ot,add:ut,config:Ie,divide:ur,equal:bn,factorial:us,gamma:of,isNegative:mi,multiply:it,pi:Bi,pow:Mt,sin:lo,smallerEq:ua,subtract:Kt,typed:se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rt{constructor(h){h===void 0&&(h=null),this.readOnly=!1,this.verifyATN=h===null||h.verifyATN,this.generateRuleBypassTransitions=h!==null&&h.generateRuleBypassTransitions}}rt.defaultOptions=new rt,rt.defaultOptions.readOnly=!0;class Xe{constructor(h){this.actionType=h,this.isPositionDependent=!1}hashCode(){const h=new a;return this.updateHashCode(h),h.finish()}updateHashCode(h){h.update(this.actionType)}equals(h){return this===h}}class Ye extends Xe{constructor(){super(6)}execute(h){h.skip()}toString(){return"skip"}}Ye.INSTANCE=new Ye;class ke extends Xe{constructor(h){super(0),this.channel=h}execute(h){h._channel=this.channel}updateHashCode(h){h.update(this.actionType,this.channel)}equals(h){return this===h||h instanceof ke&&this.channel===h.channel}toString(){return"channel("+this.channel+")"}}class I extends Xe{constructor(h,x){super(1),this.ruleIndex=h,this.actionIndex=x,this.isPositionDependent=!0}execute(h){h.action(null,this.ruleIndex,this.actionIndex)}updateHashCode(h){h.update(this.actionType,this.ruleIndex,this.actionIndex)}equals(h){return this===h||h instanceof I&&this.ruleIndex===h.ruleIndex&&this.actionIndex===h.actionIndex}}class ce extends Xe{constructor(){super(3)}execute(h){h.more()}toString(){return"more"}}ce.INSTANCE=new ce;class be extends Xe{constructor(h){super(7),this.type=h}execute(h){h.type=this.type}updateHashCode(h){h.update(this.actionType,this.type)}equals(h){return this===h||h instanceof be&&this.type===h.type}toString(){return"type("+this.type+")"}}class Ae extends Xe{constructor(h){super(5),this.mode=h}execute(h){h.pushMode(this.mode)}updateHashCode(h){h.update(this.actionType,this.mode)}equals(h){return this===h||h instanceof Ae&&this.mode===h.mode}toString(){return"pushMode("+this.mode+")"}}class Be extends Xe{constructor(){super(4)}execute(h){h.popMode()}toString(){return"popMode"}}Be.INSTANCE=new Be;class Ue extends Xe{constructor(h){super(2),this.mode=h}execute(h){h.mode(this.mode)}updateHashCode(h){h.update(this.actionType,this.mode)}equals(h){return this===h||h instanceof Ue&&this.mode===h.mode}toString(){return"mode("+this.mode+")"}}function Je(ne,h){const x=[];return x[ne-1]=h,x.map(function(E){return h})}class pt{constructor(h){h==null&&(h=rt.defaultOptions),this.deserializationOptions=h,this.stateFactories=null,this.actionFactories=null}deserialize(h){const x=this.reset(h);this.checkVersion(x),x&&this.skipUUID();const E=this.readATN();this.readStates(E,x),this.readRules(E,x),this.readModes(E);const F=[];return this.readSets(E,F,this.readInt.bind(this)),x&&this.readSets(E,F,this.readInt32.bind(this)),this.readEdges(E,F),this.readDecisions(E),this.readLexerActions(E,x),this.markPrecedenceDecisions(E),this.verifyATN(E),this.deserializationOptions.generateRuleBypassTransitions&&E.grammarType===1&&(this.generateRuleBypassTransitions(E),this.verifyATN(E)),E}reset(h){if((h.charCodeAt?h.charCodeAt(0):h[0])===3){const x=function(F){const j=F.charCodeAt(0);return j>1?j-2:j+65534},E=h.split("").map(x);return E[0]=h.charCodeAt(0),this.data=E,this.pos=0,!0}return this.data=h,this.pos=0,!1}skipUUID(){let h=0;for(;h++<8;)this.readInt()}checkVersion(h){const x=this.readInt();if(!h&&x!==4)throw"Could not deserialize ATN with version "+x+" (expected 4)."}readATN(){const h=this.readInt(),x=this.readInt();return new de(h,x)}readStates(h,x){let E,F,j;const Z=[],le=[],Te=this.readInt();for(let Ve=0;Ve0;)j.addTransition(qe.transitions[Qe-1]),qe.transitions=qe.transitions.slice(-1);h.ruleToStartState[x].addTransition(new Ce(j)),Z.addTransition(new Ce(Te));const Ve=new De;h.addState(Ve),Ve.addTransition(new xe(Z,h.ruleToTokenType[x])),j.addTransition(new Ce(Ve))}stateIsEndStateFor(h,x){if(h.ruleIndex!==x||!(h instanceof Se))return null;const E=h.transitions[h.transitions.length-1].target;return E instanceof te&&E.epsilonOnlyTransitions&&E.transitions[0].target instanceof S?h:null}markPrecedenceDecisions(h){for(let x=0;x=0):this.checkCondition(E.transitions.length<=1||E instanceof S)}}checkCondition(h,x){if(!h)throw x==null&&(x="IllegalState"),x}readInt(){return this.data[this.pos++]}readInt32(){return this.readInt()|this.readInt()<<16}edgeFactory(h,x,E,F,j,Z,le,Te){const qe=h.states[F];switch(x){case b.EPSILON:return new Ce(qe);case b.RANGE:return new Ne(qe,le!==0?t.EOF:j,Z);case b.RULE:return new T(h.states[j],Z,le,qe);case b.PREDICATE:return new Oe(qe,j,Z,le!==0);case b.PRECEDENCE:return new Re(qe,j);case b.ATOM:return new xe(qe,le!==0?t.EOF:j);case b.ACTION:return new Ee(qe,j,Z,le!==0);case b.SET:return new A(qe,Te[j]);case b.NOT_SET:return new _(qe,Te[j]);case b.WILDCARD:return new q(qe);default:throw"The specified transition type: "+x+" is not valid."}}stateFactory(h,x){if(this.stateFactories===null){const E=[];E[v.INVALID_TYPE]=null,E[v.BASIC]=()=>new De,E[v.RULE_START]=()=>new oe,E[v.BLOCK_START]=()=>new X,E[v.PLUS_BLOCK_START]=()=>new Me,E[v.STAR_BLOCK_START]=()=>new H,E[v.TOKEN_START]=()=>new ee,E[v.RULE_STOP]=()=>new S,E[v.BLOCK_END]=()=>new J,E[v.STAR_LOOP_BACK]=()=>new me,E[v.STAR_LOOP_ENTRY]=()=>new Se,E[v.PLUS_LOOP_BACK]=()=>new ae,E[v.LOOP_END]=()=>new te,this.stateFactories=E}if(h>this.stateFactories.length||this.stateFactories[h]===null)throw"The specified state type "+h+" is not valid.";{const E=this.stateFactories[h]();if(E!==null)return E.ruleIndex=x,E}}lexerActionFactory(h,x,E){if(this.actionFactories===null){const F=[];F[0]=(j,Z)=>new ke(j),F[1]=(j,Z)=>new I(j,Z),F[2]=(j,Z)=>new Ue(j),F[3]=(j,Z)=>ce.INSTANCE,F[4]=(j,Z)=>Be.INSTANCE,F[5]=(j,Z)=>new Ae(j),F[6]=(j,Z)=>Ye.INSTANCE,F[7]=(j,Z)=>new be(j),this.actionFactories=F}if(h>this.actionFactories.length||this.actionFactories[h]===null)throw"The specified lexer action type "+h+" is not valid.";return this.actionFactories[h](x,E)}}class ct{syntaxError(h,x,E,F,j,Z){}reportAmbiguity(h,x,E,F,j,Z,le){}reportAttemptingFullContext(h,x,E,F,j,Z){}reportContextSensitivity(h,x,E,F,j,Z){}}class wr extends ct{constructor(){super()}syntaxError(h,x,E,F,j,Z){console.error("line "+E+":"+F+" "+j)}}wr.INSTANCE=new wr;class Ur extends ct{constructor(h){if(super(),h===null)throw"delegates";return this.delegates=h,this}syntaxError(h,x,E,F,j,Z){this.delegates.map(le=>le.syntaxError(h,x,E,F,j,Z))}reportAmbiguity(h,x,E,F,j,Z,le){this.delegates.map(Te=>Te.reportAmbiguity(h,x,E,F,j,Z,le))}reportAttemptingFullContext(h,x,E,F,j,Z){this.delegates.map(le=>le.reportAttemptingFullContext(h,x,E,F,j,Z))}reportContextSensitivity(h,x,E,F,j,Z){this.delegates.map(le=>le.reportContextSensitivity(h,x,E,F,j,Z))}}class Nn{constructor(){this._listeners=[wr.INSTANCE],this._interp=null,this._stateNumber=-1}checkVersion(h){const x="4.13.1";x!==h&&console.log("ANTLR runtime and generated code versions disagree: "+x+"!="+h)}addErrorListener(h){this._listeners.push(h)}removeErrorListeners(){this._listeners=[]}getLiteralNames(){return Object.getPrototypeOf(this).constructor.literalNames||[]}getSymbolicNames(){return Object.getPrototypeOf(this).constructor.symbolicNames||[]}getTokenNames(){if(!this.tokenNames){const h=this.getLiteralNames(),x=this.getSymbolicNames(),E=h.length>x.length?h.length:x.length;this.tokenNames=[];for(let F=0;F";let x=h.text;return x===null&&(x=h.type===t.EOF?"":"<"+h.type+">"),x=x.replace(` +`,"\\n").replace("\r","\\r").replace(" ","\\t"),"'"+x+"'"}getErrorListenerDispatch(){return new Ur(this._listeners)}sempred(h,x,E){return!0}precpred(h,x){return!0}get atn(){return this._interp.atn}get state(){return this._stateNumber}set state(h){this._stateNumber=h}}Nn.tokenTypeMapCache={},Nn.ruleIndexMapCache={};class qr extends t{constructor(h,x,E,F,j){super(),this.source=h!==void 0?h:qr.EMPTY_SOURCE,this.type=x!==void 0?x:null,this.channel=E!==void 0?E:t.DEFAULT_CHANNEL,this.start=F!==void 0?F:-1,this.stop=j!==void 0?j:-1,this.tokenIndex=-1,this.source[0]!==null?(this.line=h[0].line,this.column=h[0].column):this.column=-1}clone(){const h=new qr(this.source,this.type,this.channel,this.start,this.stop);return h.tokenIndex=this.tokenIndex,h.line=this.line,h.column=this.column,h.text=this.text,h}cloneWithType(h){const x=new qr(this.source,h,this.channel,this.start,this.stop);return x.tokenIndex=this.tokenIndex,x.line=this.line,x.column=this.column,h===t.EOF&&(x.text=""),x}toString(){let h=this.text;return h=h!==null?h.replace(/\n/g,"\\n").replace(/\r/g,"\\r").replace(/\t/g,"\\t"):"","[@"+this.tokenIndex+","+this.start+":"+this.stop+"='"+h+"',<"+this.type+">"+(this.channel>0?",channel="+this.channel:"")+","+this.line+":"+this.column+"]"}get text(){if(this._text!==null)return this._text;const h=this.getInputStream();if(h===null)return null;const x=h.size;return this.start"}set text(h){this._text=h}}qr.EMPTY_SOURCE=[null,null];class Sa{}class pr extends Sa{constructor(h){super(),this.copyText=h!==void 0&&h}create(h,x,E,F,j,Z,le,Te){const qe=new qr(h,x,F,j,Z);return qe.line=le,qe.column=Te,E!==null?qe.text=E:this.copyText&&h[1]!==null&&(qe.text=h[1].getText(j,Z)),qe}createThin(h,x){const E=new qr(null,h);return E.text=x,E}}pr.DEFAULT=new pr;class Fr extends Error{constructor(h){super(h.message),Error.captureStackTrace&&Error.captureStackTrace(this,Fr),this.message=h.message,this.recognizer=h.recognizer,this.input=h.input,this.ctx=h.ctx,this.offendingToken=null,this.offendingState=-1,this.recognizer!==null&&(this.offendingState=this.recognizer.state)}getExpectedTokens(){return this.recognizer!==null?this.recognizer.atn.getExpectedTokens(this.offendingState,this.ctx):null}toString(){return this.message}}class Nr extends Fr{constructor(h,x,E,F){super({message:"",recognizer:h,input:x,ctx:null}),this.startIndex=E,this.deadEndConfigs=F}toString(){let h="";return this.startIndex>=0&&this.startIndex":h===` +`?"\\n":h===" "?"\\t":h==="\r"?"\\r":h}getCharErrorDisplay(h){return"'"+this.getErrorDisplayForChar(h)+"'"}recover(h){this._input.LA(1)!==t.EOF&&(h instanceof Nr?this._interp.consume(this._input):this._input.consume())}get inputStream(){return this._input}set inputStream(h){this._input=null,this._tokenFactorySourcePair=[this,this._input],this.reset(),this._input=h,this._tokenFactorySourcePair=[this,this._input]}get sourceName(){return this._input.sourceName}get type(){return this._type}set type(h){this._type=h}get line(){return this._interp.line}set line(h){this._interp.line=h}get column(){return this._interp.column}set column(h){this._interp.column=h}get text(){return this._text!==null?this._text:this._interp.getText(this._input)}set text(h){this._text=h}}function dr(ne){return ne.hashCodeForConfigSet()}function $i(ne,h){return ne===h||ne!==null&&h!==null&&ne.equalsForConfigSet(h)}Yt.DEFAULT_MODE=0,Yt.MORE=-2,Yt.SKIP=-3,Yt.DEFAULT_TOKEN_CHANNEL=t.DEFAULT_CHANNEL,Yt.HIDDEN=t.HIDDEN_CHANNEL,Yt.MIN_CHAR_VALUE=0,Yt.MAX_CHAR_VALUE=1114111;class Xt{constructor(h){this.configLookup=new u(dr,$i),this.fullCtx=h===void 0||h,this.readOnly=!1,this.configs=[],this.uniqueAlt=0,this.conflictingAlts=null,this.hasSemanticContext=!1,this.dipsIntoOuterContext=!1,this.cachedHashCode=-1}add(h,x){if(x===void 0&&(x=null),this.readOnly)throw"This set is readonly";h.semanticContext!==l.NONE&&(this.hasSemanticContext=!0),h.reachesIntoOuterContext>0&&(this.dipsIntoOuterContext=!0);const E=this.configLookup.add(h);if(E===h)return this.cachedHashCode=-1,this.configs.push(h),!0;const F=!this.fullCtx,j=he(E.context,h.context,F,x);return E.reachesIntoOuterContext=Math.max(E.reachesIntoOuterContext,h.reachesIntoOuterContext),h.precedenceFilterSuppressed&&(E.precedenceFilterSuppressed=!0),E.context=j,!0}getStates(){const h=new u;for(let x=0;xkt.MAX_DFA_EDGE)return null;let E=h.edges[x-kt.MIN_DFA_EDGE];return E===void 0&&(E=null),kt.debug&&E!==null&&console.log("reuse state "+h.stateNumber+" edge to "+E.stateNumber),E}computeTargetState(h,x,E){const F=new Sn;return this.getReachableConfigSet(h,x.configs,F,E),F.items.length===0?(F.hasSemanticContext||this.addDFAEdge(x,E,Sr.ERROR),Sr.ERROR):this.addDFAEdge(x,E,null,F)}failOrAccept(h,x,E,F){if(this.prevAccept.dfaState!==null){const j=h.dfaState.lexerActionExecutor;return this.accept(x,j,this.startIndex,h.index,h.line,h.column),h.dfaState.prediction}if(F===t.EOF&&x.index===this.startIndex)return t.EOF;throw new Nr(this.recog,x,this.startIndex,E)}getReachableConfigSet(h,x,E,F){let j=de.INVALID_ALT_NUMBER;for(let Z=0;Zkt.MAX_DFA_EDGE||(kt.debug&&console.log("EDGE "+h+" -> "+E+" upon "+x),h.edges===null&&(h.edges=[]),h.edges[x-kt.MIN_DFA_EDGE]=E),E}addDFAState(h){const x=new sr(null,h);let E=null;for(let le=0;leh.startsWith("k-")).map(h=>this.data[h],this)}}const Cn={SLL:0,LL:1,LL_EXACT_AMBIG_DETECTION:2,hasSLLConflictTerminatingPrediction:function(ne,h){if(Cn.allConfigsInRuleStopStates(h))return!0;if(ne===Cn.SLL&&h.hasSemanticContext){const E=new Xt;for(let F=0;F1)return!0;return!1},allSubsetsEqual:function(ne){let h=null;for(let x=0;x "+Z),Z.items.length===0?null:Z}removeAllConfigsNotInRuleStopState(h,x){if(tr.allConfigsInRuleStopStates(h))return h;const E=new Xt(h.fullCtx);for(let F=0;F0&&(Z=this.getAltThatFinishedDecisionEntryRule(j),Z!==de.INVALID_ALT_NUMBER)?Z:de.INVALID_ALT_NUMBER}getAltThatFinishedDecisionEntryRule(h){const x=[];for(let E=0;E0||F.state instanceof S&&F.context.hasEmptyPath())&&x.indexOf(F.alt)<0&&x.push(F.alt)}return x.length===0?de.INVALID_ALT_NUMBER:Math.min.apply(null,x)}splitAccordingToSemanticValidity(h,x){const E=new Xt(h.fullCtx),F=new Xt(h.fullCtx);for(let j=0;j=0&&(Ft+=1)}this.closureCheckingStopState($e,x,E,Ve,j,Ft,le)}}}canDropLoopEntryEdgeInLeftRecursiveRule(h){const x=h.state;if(x.stateType!==v.STAR_LOOP_ENTRY||x.stateType!==v.STAR_LOOP_ENTRY||!x.isPrecedenceDecision||h.context.isEmpty()||h.context.hasEmptyPath())return!1;const E=h.context.length;for(let Z=0;Z=0?this.parser.ruleNames[h]:""}getEpsilonTarget(h,x,E,F,j,Z){switch(x.serializationType){case b.RULE:return this.ruleTransition(h,x);case b.PRECEDENCE:return this.precedenceTransition(h,x,E,F,j);case b.PREDICATE:return this.predTransition(h,x,E,F,j);case b.ACTION:return this.actionTransition(h,x);case b.EPSILON:return new N({state:x.target},h);case b.ATOM:case b.RANGE:case b.SET:return Z&&x.matches(t.EOF,0,1)?new N({state:x.target},h):null;default:return null}}actionTransition(h,x){if(this.debug){const E=x.actionIndex===-1?65535:x.actionIndex;console.log("ACTION edge "+x.ruleIndex+":"+E)}return new N({state:x.target},h)}precedenceTransition(h,x,E,F,j){this.debug&&(console.log("PRED (collectPredicates="+E+") "+x.precedence+">=_p, ctx dependent=true"),this.parser!==null&&console.log("context surrounding pred is "+c(this.parser.getRuleInvocationStack())));let Z=null;if(E&&F)if(j){const le=this._input.index;this._input.seek(this._startIndex);const Te=x.getPredicate().evaluate(this.parser,this._outerContext);this._input.seek(le),Te&&(Z=new N({state:x.target},h))}else{const le=l.andContext(h.semanticContext,x.getPredicate());Z=new N({state:x.target,semanticContext:le},h)}else Z=new N({state:x.target},h);return this.debug&&console.log("config from pred transition="+Z),Z}predTransition(h,x,E,F,j){this.debug&&(console.log("PRED (collectPredicates="+E+") "+x.ruleIndex+":"+x.predIndex+", ctx dependent="+x.isCtxDependent),this.parser!==null&&console.log("context surrounding pred is "+c(this.parser.getRuleInvocationStack())));let Z=null;if(E&&(x.isCtxDependent&&F||!x.isCtxDependent))if(j){const le=this._input.index;this._input.seek(this._startIndex);const Te=x.getPredicate().evaluate(this.parser,this._outerContext);this._input.seek(le),Te&&(Z=new N({state:x.target},h))}else{const le=l.andContext(h.semanticContext,x.getPredicate());Z=new N({state:x.target,semanticContext:le},h)}else Z=new N({state:x.target},h);return this.debug&&console.log("config from pred transition="+Z),Z}ruleTransition(h,x){this.debug&&console.log("CALL rule "+this.getRuleName(x.target.ruleIndex)+", ctx="+h.context);const E=x.followState,F=V.create(h.context,E.stateNumber);return new N({state:x.target,context:F},h)}getConflictingAlts(h){const x=tr.getConflictingAltSubsets(h);return tr.getAlts(x)}getConflictingAltsOrUniqueAlt(h){let x=null;return h.uniqueAlt!==de.INVALID_ALT_NUMBER?(x=new ie,x.add(h.uniqueAlt)):x=h.conflictingAlts,x}getTokenName(h){if(h===t.EOF)return"EOF";if(this.parser!==null&&this.parser.literalNames!==null){if(!(h>=this.parser.literalNames.length&&h>=this.parser.symbolicNames.length))return(this.parser.literalNames[h]||this.parser.symbolicNames[h])+"<"+h+">";console.log(h+" ttype out of range: "+this.parser.literalNames),console.log(""+this.parser.getInputStream().getTokens())}return""+h}getLookaheadName(h){return this.getTokenName(h.LA(1))}dumpDeadEndConfigs(h){console.log("dead end configs: ");const x=h.getDeadEndConfigs();for(let E=0;E0){const Z=F.state.transitions[0];Z instanceof xe?j="Atom "+this.getTokenName(Z.label):Z instanceof A&&(j=(Z instanceof _?"~":"")+"Set "+Z.set)}console.error(F.toString(this.parser,!0)+":"+j)}}noViableAlt(h,x,E,F){return new At(this.parser,h,h.get(F),h.LT(1),E,x)}getUniqueAlt(h){let x=de.INVALID_ALT_NUMBER;for(let E=0;E "+F+" upon "+this.getTokenName(E)),F===null)return null;if(F=this.addDFAState(h,F),x===null||E<-1||E>this.atn.maxTokenType)return F;if(x.edges===null&&(x.edges=[]),x.edges[E+1]=F,this.debug){const j=this.parser===null?null:this.parser.literalNames,Z=this.parser===null?null:this.parser.symbolicNames;console.log(`DFA= +`+h.toString(j,Z))}return F}addDFAState(h,x){if(x===Sr.ERROR)return x;const E=h.states.get(x);return E!==null?(this.trace_atn_sim&&console.log("addDFAState "+x+" exists"),E):(x.stateNumber=h.states.length,x.configs.readOnly||(x.configs.optimizeConfigs(this),x.configs.setReadonly(!0)),this.trace_atn_sim&&console.log("addDFAState new "+x),h.states.add(x),this.debug&&console.log("adding new DFA state: "+x),x)}reportAttemptingFullContext(h,x,E,F,j){if(this.debug||this.retry_debug){const Z=new D(F,j+1);console.log("reportAttemptingFullContext decision="+h.decision+":"+E+", input="+this.parser.getTokenStream().getText(Z))}this.parser!==null&&this.parser.getErrorListenerDispatch().reportAttemptingFullContext(this.parser,h,F,j,x,E)}reportContextSensitivity(h,x,E,F,j){if(this.debug||this.retry_debug){const Z=new D(F,j+1);console.log("reportContextSensitivity decision="+h.decision+":"+E+", input="+this.parser.getTokenStream().getText(Z))}this.parser!==null&&this.parser.getErrorListenerDispatch().reportContextSensitivity(this.parser,h,F,j,x,E)}reportAmbiguity(h,x,E,F,j,Z,le){if(this.debug||this.retry_debug){const Te=new D(E,F+1);console.log("reportAmbiguity "+Z+":"+le+", input="+this.parser.getTokenStream().getText(Te))}this.parser!==null&&this.parser.getErrorListenerDispatch().reportAmbiguity(this.parser,h,E,F,j,Z,le)}}class Ki{constructor(){this.cache=new ve}add(h){if(h===Y.EMPTY)return Y.EMPTY;const x=this.cache.get(h)||null;return x!==null?x:(this.cache.set(h,h),h)}get(h){return this.cache.get(h)||null}get length(){return this.cache.length}}const Xi={ATN:de,ATNDeserializer:pt,LexerATNSimulator:kt,ParserATNSimulator:To,PredictionMode:tr,PredictionContextCache:Ki};class Ds{constructor(h,x,E){this.dfa=h,this.literalNames=x||[],this.symbolicNames=E||[]}toString(){if(this.dfa.s0===null)return null;let h="";const x=this.dfa.sortedStates();for(let E=0;E"),h=h.concat(this.getStateString(le)),h=h.concat(` +`))}}}return h.length===0?null:h}getEdgeLabel(h){return h===0?"EOF":this.literalNames!==null||this.symbolicNames!==null?this.literalNames[h-1]||this.symbolicNames[h-1]:String.fromCharCode(h-1)}getStateString(h){const x=(h.isAcceptState?":":"")+"s"+h.stateNumber+(h.requiresFullContext?"^":"");return h.isAcceptState?h.predicates!==null?x+"=>"+c(h.predicates):x+"=>"+h.prediction.toString():x}}class Ty extends Ds{constructor(h){super(h,null)}getEdgeLabel(h){return"'"+String.fromCharCode(h)+"'"}}class Ay{constructor(h,x){if(x===void 0&&(x=0),this.atnStartState=h,this.decision=x,this._states=new u,this.s0=null,this.precedenceDfa=!1,h instanceof Se&&h.isPrecedenceDecision){this.precedenceDfa=!0;const E=new sr(null,new Xt);E.edges=[],E.isAcceptState=!1,E.requiresFullContext=!1,this.s0=E}}getPrecedenceStartState(h){if(!this.precedenceDfa)throw"Only precedence DFAs may contain a precedence start state.";return h<0||h>=this.s0.edges.length?null:this.s0.edges[h]||null}setPrecedenceStartState(h,x){if(!this.precedenceDfa)throw"Only precedence DFAs may contain a precedence start state.";h<0||(this.s0.edges[h]=x)}setPrecedenceDfa(h){if(this.precedenceDfa!==h){if(this._states=new u,h){const x=new sr(null,new Xt);x.edges=[],x.isAcceptState=!1,x.requiresFullContext=!1,this.s0=x}else this.s0=null;this.precedenceDfa=h}}sortedStates(){return this._states.values().sort(function(h,x){return h.stateNumber-x.stateNumber})}toString(h,x){return h=h||null,x=x||null,this.s0===null?"":new Ds(this,h,x).toString()}toLexerString(){return this.s0===null?"":new Ty(this).toString()}get states(){return this._states}}const ME={DFA:Ay,DFASerializer:Ds,LexerDFASerializer:Ty,PredPrediction:Eo},qE={PredictionContext:Y},FE={Interval:D,IntervalSet:C};class Tf{visitTerminal(h){}visitErrorNode(h){}enterEveryRule(h){}exitEveryRule(h){}}class _y{visit(h){return Array.isArray(h)?h.map(function(x){return x.accept(this)},this):h.accept(this)}visitChildren(h){return h.children?this.visit(h.children):null}visitTerminal(h){}visitErrorNode(h){}}class Ao{walk(h,x){if(x instanceof z||x.isErrorNode!==void 0&&x.isErrorNode())h.visitErrorNode(x);else if(x instanceof P)h.visitTerminal(x);else{this.enterRule(h,x);for(let E=0;E=j.length)return""+E;const Z=j[F]||null;return Z===null||Z.length===0?""+E:`${E} (${Z})`}getConflictingAlts(h,x){if(h!==null)return h;const E=new ie;for(let F=0;F=0&&h.consume(),this.lastErrorIndex=h._input.index,this.lastErrorStates===null&&(this.lastErrorStates=[]),this.lastErrorStates.push(h.state);const E=this.getErrorRecoverySet(h);this.consumeUntil(h,E)}sync(h){if(this.inErrorRecoveryMode(h))return;const x=h._interp.atn.states[h.state],E=h.getTokenStream().LA(1),F=h.atn.nextTokens(x);if(F.contains(E))return this.nextTokensContext=null,void(this.nextTokenState=v.INVALID_STATE_NUMBER);if(F.contains(t.EPSILON))this.nextTokensContext===null&&(this.nextTokensContext=h._ctx,this.nextTokensState=h._stateNumber);else switch(x.stateType){case v.BLOCK_START:case v.STAR_BLOCK_START:case v.PLUS_BLOCK_START:case v.STAR_LOOP_ENTRY:if(this.singleTokenDeletion(h)!==null)return;throw new ws(h);case v.PLUS_LOOP_BACK:case v.STAR_LOOP_BACK:{this.reportUnwantedToken(h);const j=new C;j.addSet(h.getExpectedTokens());const Z=j.addSet(this.getErrorRecoverySet(h));this.consumeUntil(h,Z)}}}reportNoViableAlternative(h,x){const E=h.getTokenStream();let F;F=E!==null?x.startToken.type===t.EOF?"":E.getText(new D(x.startToken.tokenIndex,x.offendingToken.tokenIndex)):"";const j="no viable alternative at input "+this.escapeWSAndQuote(F);h.notifyErrorListeners(j,x.offendingToken,x)}reportInputMismatch(h,x){const E="mismatched input "+this.getTokenErrorDisplay(x.offendingToken)+" expecting "+x.getExpectedTokens().toString(h.literalNames,h.symbolicNames);h.notifyErrorListeners(E,x.offendingToken,x)}reportFailedPredicate(h,x){const E="rule "+h.ruleNames[h._ctx.ruleIndex]+" "+x.message;h.notifyErrorListeners(E,x.offendingToken,x)}reportUnwantedToken(h){if(this.inErrorRecoveryMode(h))return;this.beginErrorCondition(h);const x=h.getCurrentToken(),E="extraneous input "+this.getTokenErrorDisplay(x)+" expecting "+this.getExpectedTokens(h).toString(h.literalNames,h.symbolicNames);h.notifyErrorListeners(E,x,null)}reportMissingToken(h){if(this.inErrorRecoveryMode(h))return;this.beginErrorCondition(h);const x=h.getCurrentToken(),E="missing "+this.getExpectedTokens(h).toString(h.literalNames,h.symbolicNames)+" at "+this.getTokenErrorDisplay(x);h.notifyErrorListeners(E,x,null)}recoverInline(h){const x=this.singleTokenDeletion(h);if(x!==null)return h.consume(),x;if(this.singleTokenInsertion(h))return this.getMissingSymbol(h);throw new ws(h)}singleTokenInsertion(h){const x=h.getTokenStream().LA(1),E=h._interp.atn,F=E.states[h.state].transitions[0].target;return!!E.nextTokens(F,h._ctx).contains(x)&&(this.reportMissingToken(h),!0)}singleTokenDeletion(h){const x=h.getTokenStream().LA(2);if(this.getExpectedTokens(h).contains(x)){this.reportUnwantedToken(h),h.consume();const E=h.getCurrentToken();return this.reportMatch(h),E}return null}getMissingSymbol(h){const x=h.getCurrentToken(),E=this.getExpectedTokens(h).first();let F;F=E===t.EOF?"":"";let j=x;const Z=h.getTokenStream().LT(-1);return j.type===t.EOF&&Z!==null&&(j=Z),h.getTokenFactory().create(j.source,E,F,t.DEFAULT_CHANNEL,-1,-1,j.line,j.column)}getExpectedTokens(h){return h.getExpectedTokens()}getTokenErrorDisplay(h){if(h===null)return"";let x=h.text;return x===null&&(x=h.type===t.EOF?"":"<"+h.type+">"),this.escapeWSAndQuote(x)}escapeWSAndQuote(h){return"'"+(h=(h=(h=h.replace(/\n/g,"\\n")).replace(/\r/g,"\\r")).replace(/\t/g,"\\t"))+"'"}getErrorRecoverySet(h){const x=h._interp.atn;let E=h._ctx;const F=new C;for(;E!==null&&E.invokingState>=0;){const j=x.states[E.invokingState].transitions[0],Z=x.nextTokens(j.followState);F.addSet(Z),E=E.parentCtx}return F.removeOne(t.EPSILON),F}consumeUntil(h,x){let E=h.getTokenStream().LA(1);for(;E!==t.EOF&&!x.contains(E);)h.consume(),E=h.getTokenStream().LA(1)}}class qy extends Mf{constructor(){super()}recover(h,x){let E=h._ctx;for(;E!==null;)E.exception=x,E=E.parentCtx;throw new _f(x)}recoverInline(h){this.recover(h,new ws(h))}sync(h){}}const RE={RecognitionException:Fr,NoViableAltException:At,LexerNoViableAltException:Nr,InputMismatchException:ws,FailedPredicateException:Af,DiagnosticErrorListener:My,BailErrorStrategy:qy,DefaultErrorStrategy:Mf,ErrorListener:ct};class Ns{constructor(h,x){if(this.name="",this.strdata=h,this.decodeToUnicodeCodePoints=x||!1,this._index=0,this.data=[],this.decodeToUnicodeCodePoints)for(let E=0;E=this._size)throw"cannot consume EOF";this._index+=1}LA(h){if(h===0)return 0;h<0&&(h+=1);const x=this._index+h-1;return x<0||x>=this._size?t.EOF:this.data[x]}LT(h){return this.LA(h)}mark(){return-1}release(h){}seek(h){h<=this._index?this._index=h:this._index=Math.min(h,this._size)}getText(h,x){if(x>=this._size&&(x=this._size-1),h>=this._size)return"";if(this.decodeToUnicodeCodePoints){let E="";for(let F=h;F<=x;F++)E+=String.fromCodePoint(this.data[F]);return E}return this.strdata.slice(h,x+1)}toString(){return this.strdata}get index(){return this._index}get size(){return this._size}}class Ss extends Ns{constructor(h,x){super(h,x)}}var Fy=wa(92);const Oy=typeof process<"u"&&process.versions!=null&&process.versions.node!=null;class Iy extends Ss{static fromPath(h,x,E){if(!Oy)throw new Error("FileStream is only available when running in Node!");Fy.readFile(h,x,function(F,j){let Z=null;j!==null&&(Z=new Ns(j,!0)),E(F,Z)})}constructor(h,x,E){if(!Oy)throw new Error("FileStream is only available when running in Node!");super(Fy.readFileSync(h,x||"utf-8"),E),this.fileName=h}}const ky={fromString:function(ne){return new Ns(ne,!0)},fromBlob:function(ne,h,x,E){const F=new window.FileReader;F.onload=function(j){const Z=new Ns(j.target.result,!0);x(Z)},F.onerror=E,F.readAsText(ne,h)},fromBuffer:function(ne,h){return new Ns(ne.toString(h),!0)},fromPath:function(ne,h,x){Iy.fromPath(ne,h,x)},fromPathSync:function(ne,h){return new Iy(ne,h)}},PE={arrayToString:c,stringToCharArray:function(ne){let h=new Uint16Array(ne.length);for(let x=0;x=0&&(this.fetchedEOF?this.index0)||this.fetch(x)>=x}fetch(h){if(this.fetchedEOF)return 0;for(let x=0;x=this.tokens.length&&(x=this.tokens.length-1);for(let j=h;j=this.tokens.length?this.tokens[this.tokens.length-1]:this.tokens[x]}adjustSeekIndex(h){return h}lazyInit(){this.index===-1&&this.setup()}setup(){this.sync(0),this.index=this.adjustSeekIndex(0)}setTokenSource(h){this.tokenSource=h,this.tokens=[],this.index=-1,this.fetchedEOF=!1}nextTokenOnChannel(h,x){if(this.sync(h),h>=this.tokens.length)return-1;let E=this.tokens[h];for(;E.channel!==this.channel;){if(E.type===t.EOF)return-1;h+=1,this.sync(h),E=this.tokens[h]}return h}previousTokenOnChannel(h,x){for(;h>=0&&this.tokens[h].channel!==x;)h-=1;return h}getHiddenTokensToRight(h,x){if(x===void 0&&(x=-1),this.lazyInit(),h<0||h>=this.tokens.length)throw h+" not in 0.."+this.tokens.length-1;const E=this.nextTokenOnChannel(h+1,Yt.DEFAULT_TOKEN_CHANNEL),F=h+1,j=E===-1?this.tokens.length-1:E;return this.filterForChannel(F,j,x)}getHiddenTokensToLeft(h,x){if(x===void 0&&(x=-1),this.lazyInit(),h<0||h>=this.tokens.length)throw h+" not in 0.."+this.tokens.length-1;const E=this.previousTokenOnChannel(h-1,Yt.DEFAULT_TOKEN_CHANNEL);if(E===h-1)return null;const F=E+1,j=h-1;return this.filterForChannel(F,j,x)}filterForChannel(h,x,E){const F=[];for(let j=h;j=this.tokens.length&&(E=this.tokens.length-1);let F="";for(let j=x;j=0&&this._parseListeners.splice(x,1),this._parseListeners.length===0&&(this._parseListeners=null)}}removeParseListeners(){this._parseListeners=null}triggerEnterRuleEvent(){if(this._parseListeners!==null){const h=this._ctx;this._parseListeners.forEach(function(x){x.enterEveryRule(h),h.enterRule(x)})}}triggerExitRuleEvent(){if(this._parseListeners!==null){const h=this._ctx;this._parseListeners.slice(0).reverse().forEach(function(x){h.exitRule(x),x.exitEveryRule(h)})}}getTokenFactory(){return this._input.tokenSource._factory}setTokenFactory(h){this._input.tokenSource._factory=h}getATNWithBypassAlts(){const h=this.getSerializedATN();if(h===null)throw"The current parser does not support an ATN with bypass alternatives.";let x=this.bypassAltsAtnCache[h];if(x===null){const E=new rt;E.generateRuleBypassTransitions=!0,x=new pt(E).deserialize(h),this.bypassAltsAtnCache[h]=x}return x}getInputStream(){return this.getTokenStream()}setInputStream(h){this.setTokenStream(h)}getTokenStream(){return this._input}setTokenStream(h){this._input=null,this.reset(),this._input=h}get syntaxErrorsCount(){return this._syntaxErrors}getCurrentToken(){return this._input.LT(1)}notifyErrorListeners(h,x,E){E=E||null,(x=x||null)===null&&(x=this.getCurrentToken()),this._syntaxErrors+=1;const F=x.line,j=x.column;this.getErrorListenerDispatch().syntaxError(this,x,F,j,h,E)}consume(){const h=this.getCurrentToken();h.type!==t.EOF&&this.getInputStream().consume();const x=this._parseListeners!==null&&this._parseListeners.length>0;if(this.buildParseTrees||x){let E;E=this._errHandler.inErrorRecoveryMode(this)?this._ctx.addErrorNode(h):this._ctx.addTokenNode(h),E.invokingState=this.state,x&&this._parseListeners.forEach(function(F){E instanceof z||E.isErrorNode!==void 0&&E.isErrorNode()?F.visitErrorNode(E):E instanceof P&&F.visitTerminal(E)})}return h}addContextToParseTree(){this._ctx.parentCtx!==null&&this._ctx.parentCtx.addChild(this._ctx)}enterRule(h,x,E){this.state=x,this._ctx=h,this._ctx.start=this._input.LT(1),this.buildParseTrees&&this.addContextToParseTree(),this.triggerEnterRuleEvent()}exitRule(){this._ctx.stop=this._input.LT(-1),this.triggerExitRuleEvent(),this.state=this._ctx.invokingState,this._ctx=this._ctx.parentCtx}enterOuterAlt(h,x){h.setAltNumber(x),this.buildParseTrees&&this._ctx!==h&&this._ctx.parentCtx!==null&&(this._ctx.parentCtx.removeLastChild(),this._ctx.parentCtx.addChild(h)),this._ctx=h}getPrecedence(){return this._precedenceStack.length===0?-1:this._precedenceStack[this._precedenceStack.length-1]}enterRecursionRule(h,x,E,F){this.state=x,this._precedenceStack.push(F),this._ctx=h,this._ctx.start=this._input.LT(1),this.triggerEnterRuleEvent()}pushNewRecursionContext(h,x,E){const F=this._ctx;F.parentCtx=h,F.invokingState=x,F.stop=this._input.LT(-1),this._ctx=h,this._ctx.start=F.start,this.buildParseTrees&&this._ctx.addChild(F),this.triggerEnterRuleEvent()}unrollRecursionContexts(h){this._precedenceStack.pop(),this._ctx.stop=this._input.LT(-1);const x=this._ctx,E=this.getParseListeners();if(E!==null&&E.length>0)for(;this._ctx!==h;)this.triggerExitRuleEvent(),this._ctx=this._ctx.parentCtx;else this._ctx=h;x.parentCtx=h,this.buildParseTrees&&h!==null&&h.addChild(x)}getInvokingContext(h){let x=this._ctx;for(;x!==null;){if(x.ruleIndex===h)return x;x=x.parentCtx}return null}precpred(h,x){return x>=this._precedenceStack[this._precedenceStack.length-1]}inContext(h){return!1}isExpectedToken(h){const x=this._interp.atn;let E=this._ctx;const F=x.states[this.state];let j=x.nextTokens(F);if(j.contains(h))return!0;if(!j.contains(t.EPSILON))return!1;for(;E!==null&&E.invokingState>=0&&j.contains(t.EPSILON);){const Z=x.states[E.invokingState].transitions[0];if(j=x.nextTokens(Z.followState),j.contains(h))return!0;E=E.parentCtx}return!(!j.contains(t.EPSILON)||h!==t.EOF)}getExpectedTokens(){return this._interp.atn.getExpectedTokens(this.state,this._ctx)}getExpectedTokensWithinCurrentRule(){const h=this._interp.atn,x=h.states[this.state];return h.nextTokens(x)}getRuleIndex(h){const x=this.getRuleIndexMap()[h];return x!==null?x:-1}getRuleInvocationStack(h){(h=h||null)===null&&(h=this._ctx);const x=[];for(;h!==null;){const E=h.ruleIndex;E<0?x.push("n/a"):x.push(this.ruleNames[E]),h=h.parentCtx}return x}getDFAStrings(){return this._interp.decisionToDFA.toString()}dumpDFA(){let h=!1;for(let x=0;x0&&(h&&console.log(),this.printer.println("Decision "+E.decision+":"),this.printer.print(E.toString(this.literalNames,this.symbolicNames)),h=!0)}}getSourceName(){return this._input.sourceName}setTrace(h){h?(this._tracer!==null&&this.removeParseListener(this._tracer),this._tracer=new zE(this),this.addParseListener(this._tracer)):(this.removeParseListener(this._tracer),this._tracer=null)}}qf.bypassAltsAtnCache={};class By extends P{constructor(h){super(),this.parentCtx=null,this.symbol=h}getChild(h){return null}getSymbol(){return this.symbol}getParent(){return this.parentCtx}getPayload(){return this.symbol}getSourceInterval(){if(this.symbol===null)return D.INVALID_INTERVAL;const h=this.symbol.tokenIndex;return new D(h,h)}getChildCount(){return 0}accept(h){return h.visitTerminal(this)}getText(){return this.symbol.text}toString(){return this.symbol.type===t.EOF?"":this.symbol.text}}class zy extends By{constructor(h){super(h)}isErrorNode(){return!0}accept(h){return h.visitErrorNode(this)}}class Ff extends L{constructor(h,x){super(h,x),this.children=null,this.start=null,this.stop=null,this.exception=null}copyFrom(h){this.parentCtx=h.parentCtx,this.invokingState=h.invokingState,this.children=null,this.start=h.start,this.stop=h.stop,h.children&&(this.children=[],h.children.map(function(x){x instanceof zy&&(this.children.push(x),x.parentCtx=this)},this))}enterRule(h){}exitRule(h){}addChild(h){return this.children===null&&(this.children=[]),this.children.push(h),h}removeLastChild(){this.children!==null&&this.children.pop()}addTokenNode(h){const x=new By(h);return this.addChild(x),x.parentCtx=this,x}addErrorNode(h){const x=new zy(h);return this.addChild(x),x.parentCtx=this,x}getChild(h,x){if(x=x||null,this.children===null||h<0||h>=this.children.length)return null;if(x===null)return this.children[h];for(let E=0;E=this.children.length)return null;for(let E=0;E2&&arguments[2]!==void 0?arguments[2]:Si.DEFAULT_PROGRAM_NAME;E=typeof h=="number"?h:h.tokenIndex;let j=this.getProgram(F),Z=new jy(this.tokens,E,j.length,x);j.push(Z)}insertBefore(h,x){let E,F=arguments.length>2&&arguments[2]!==void 0?arguments[2]:Si.DEFAULT_PROGRAM_NAME;E=typeof h=="number"?h:h.tokenIndex;const j=this.getProgram(F),Z=new Ca(this.tokens,E,j.length,x);j.push(Z)}replaceSingle(h,x){let E=arguments.length>2&&arguments[2]!==void 0?arguments[2]:Si.DEFAULT_PROGRAM_NAME;this.replace(h,h,x,E)}replace(h,x,E){let F=arguments.length>3&&arguments[3]!==void 0?arguments[3]:Si.DEFAULT_PROGRAM_NAME;if(typeof h!="number"&&(h=h.tokenIndex),typeof x!="number"&&(x=x.tokenIndex),h>x||h<0||x<0||x>=this.tokens.size)throw new RangeError(`replace: range invalid: ${h}..${x}(size=${this.tokens.size})`);let j=this.getProgram(F),Z=new _o(this.tokens,h,x,j.length,E);j.push(Z)}delete(h,x){let E=arguments.length>2&&arguments[2]!==void 0?arguments[2]:Si.DEFAULT_PROGRAM_NAME;x===void 0&&(x=h),this.replace(h,x,null,E)}getProgram(h){let x=this.programs.get(h);return x==null&&(x=this.initializeProgram(h)),x}initializeProgram(h){const x=[];return this.programs.set(h,x),x}getText(h){let x,E=arguments.length>1&&arguments[1]!==void 0?arguments[1]:Si.DEFAULT_PROGRAM_NAME;x=h instanceof D?h:new D(0,this.tokens.size-1),typeof h=="string"&&(E=h);const F=this.programs.get(E);let j=x.start,Z=x.stop;if(Z>this.tokens.size-1&&(Z=this.tokens.size-1),j<0&&(j=0),F==null||F.length===0)return this.tokens.getText(new D(j,Z));let le=[],Te=this.reduceToSingleOperationPerIndex(F),qe=j;for(;qe<=Z&&qe=this.tokens.size-1&&le.push(Qe.text.toString());return le.join("")}reduceToSingleOperationPerIndex(h){for(let E=0;Ej.index&&Te.index<=j.lastIndex&&(h[Te.instructionIndex]=void 0);let le=this.getKindOfOps(h,_o,E);for(let Te of le){if(Te.index>=j.index&&Te.lastIndex<=j.lastIndex){h[Te.instructionIndex]=void 0;continue}let qe=Te.lastIndexj.lastIndex;if(Te.text!=null||j.text!=null||qe){if(!qe)throw new Error(`replace op boundaries of ${j} overlap with previous ${Te}`)}else h[Te.instructionIndex]=void 0,j.index=Math.min(Te.index,j.index),j.lastIndex=Math.max(Te.lastIndex,j.lastIndex)}}for(let E=0;E=Te.index&&j.index<=Te.lastIndex)throw new Error(`insert op ${j} within boundaries of previous ${Te}`)}else Te.text=this.catOpText(j.text,Te.text),h[E]=void 0}let x=new Map;for(let E of h)if(E!=null){if(x.get(E.index)!=null)throw new Error("should only be one op per index");x.set(E.index,E)}return x}catOpText(h,x){let E="",F="";return h!=null&&(E=h.toString()),x!=null&&(F=x.toString()),E+F}getKindOfOps(h,x,E){return h.slice(0,E).filter(F=>F&&F instanceof x)}}class Ly{constructor(h,x,E,F){this.tokens=h,this.instructionIndex=E,this.index=x,this.text=F===void 0?"":F}toString(){let h=this.constructor.name;const x=h.indexOf("$");return h=h.substring(x+1,h.length),"<"+h+"@"+this.tokens.get(this.index)+':"'+this.text+'">'}}class Ca extends Ly{constructor(h,x,E,F){super(h,x,E,F)}execute(h){return this.text&&h.push(this.text.toString()),this.tokens.get(this.index).type!==t.EOF&&h.push(String(this.tokens.get(this.index).text)),this.index+1}}class jy extends Ca{constructor(h,x,E,F){super(h,x+1,E,F)}}class _o extends Ly{constructor(h,x,E,F,j){super(h,x,F,j),this.lastIndex=E}execute(h){return this.text&&h.push(this.text.toString()),this.lastIndex+1}toString(){return this.text==null?"":"'}}const LE={atn:Xi,dfa:ME,context:qE,misc:FE,tree:OE,error:RE,Token:t,CommonToken:qr,CharStreams:ky,CharStream:Ss,InputStream:Ss,CommonTokenStream:Py,Lexer:Yt,Parser:qf,ParserRuleContext:Ff,Interval:D,IntervalSet:C,LL1Analyzer:ye,Utils:PE,TokenStreamRewriter:Si}})();var Na=jt.dx,NE=jt.q2;jt.FO,jt.xf,jt.Gy,jt.s4;var uz=jt.c7,SE=jt._7;jt.gp;var my=jt.cK;jt.zs;var cz=jt.AV;jt.Xp,jt.VS,jt.ul;var lz=jt.hW,pz=jt.x1;jt.z5;var dz=jt.oN;jt.TB;var mz=jt.u1,hz=jt._b,fz=jt.$F,Ar=jt._T,CE=jt.db;jt.Zx;var _r=jt._x;jt.r8,jt.JI,jt.TP;var EE=jt.WU;jt.Nj,jt.ZP;var gz=["\u608B\uA72A\u8133\uB9ED\u417C\u3BE7\u7786\u5964","-\u0124\b  ","   \x07 ",`\x07\b \b  + +\v \v`,"\f \f\r \r  ","    ","   ","    ","\x1B \x1B  ",'   ! !" 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lz{constructor(e){super(e),this._interp=new pz(this,hy,yz,new CE)}channelNames=["DEFAULT_TOKEN_CHANNEL","HIDDEN"];modeNames=["DEFAULT_MODE"];literalNames=[null,"'}'","'opaque'","';'","'('","')'","'if'","'=='","'barrier'","'OPENQASM'","'include'","'qreg'","'['","']'","'creg'","'gate'","'{'","'measure'","'->'","'reset'","'U'","'CX'","','","'^'","'*'","'/'","'+'","'-'","'sin'","'cos'","'tan'","'exp'","'ln'","'sqrt'","'pi'"];symbolicNames=[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PI","REAL","SUBREAL","EXPREAL","INT","ID","WS","FILENAME","COMMENT","LINE_COMMENT"];ruleNames=["T__0","T__1","T__2","T__3","T__4","T__5","T__6","T__7","T__8","T__9","T__10","T__11","T__12","T__13","T__14","T__15","T__16","T__17","T__18","T__19","T__20","T__21","T__22","T__23","T__24","T__25","T__26","T__27","T__28","T__29","T__30","T__31","T__32","PI","REAL","SUBREAL","EXPREAL","INT","ID","WS","FILENAME","COMMENT","LINE_COMMENT"];grammarFileName="QASM.g4"}Object.defineProperty(ft.prototype,"atn",{get:function(){return hy}}),ft.EOF=EE.EOF,ft.T__0=1,ft.T__1=2,ft.T__2=3,ft.T__3=4,ft.T__4=5,ft.T__5=6,ft.T__6=7,ft.T__7=8,ft.T__8=9,ft.T__9=10,ft.T__10=11,ft.T__11=12,ft.T__12=13,ft.T__13=14,ft.T__14=15,ft.T__15=16,ft.T__16=17,ft.T__17=18,ft.T__18=19,ft.T__19=20,ft.T__20=21,ft.T__21=22,ft.T__22=23,ft.T__23=24,ft.T__24=25,ft.T__25=26,ft.T__26=27,ft.T__27=28,ft.T__28=29,ft.T__29=30,ft.T__30=31,ft.T__31=32,ft.T__32=33,ft.PI=34,ft.REAL=35,ft.SUBREAL=36,ft.EXPREAL=37,ft.INT=38,ft.ID=39,ft.WS=40,ft.FILENAME=41,ft.COMMENT=42,ft.LINE_COMMENT=43;class qt extends dz{constructor(){super()}enterMainprog=function(e){};exitMainprog=function(e){};enterStatement=function(e){};exitStatement=function(e){};enterVersion=function(e){};exitVersion=function(e){};enterInclude=function(e){};exitInclude=function(e){};enterFilename=function(e){};exitFilename=function(e){};enterDecl=function(e){};exitDecl=function(e){};enterGatedecl=function(e){};exitGatedecl=function(e){};enterGoplist=function(e){};exitGoplist=function(e){};enterQop=function(e){};exitQop=function(e){};enterUop=function(e){};exitUop=function(e){};enterAnylist=function(e){};exitAnylist=function(e){};enterIdlist=function(e){};exitIdlist=function(e){};enterMixedlist=function(e){};exitMixedlist=function(e){};enterArgument=function(e){};exitArgument=function(e){};enterExplist=function(e){};exitExplist=function(e){};enterExp=function(e){};exitExp=function(e){};enterAtom=function(e){};exitAtom=function(e){};enterUnaryop=function(e){};exitUnaryop=function(e){}}var 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NE().deserialize(xz),vz=fy.decisionToState.map(function(t,e){return new SE(t,e)}),bz=new CE,Dz=[null,"'}'","'opaque'","';'","'('","')'","'if'","'=='","'barrier'","'OPENQASM'","'include'","'qreg'","'['","']'","'creg'","'gate'","'{'","'measure'","'->'","'reset'","'U'","'CX'","','","'^'","'*'","'/'","'+'","'-'","'sin'","'cos'","'tan'","'exp'","'ln'","'sqrt'","'pi'"],wz=[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PI","REAL","SUBREAL","EXPREAL","INT","ID","WS","FILENAME","COMMENT","LINE_COMMENT"],Nz=["mainprog","statement","version","include","filename","decl","gatedecl","goplist","qop","uop","anylist","idlist","mixedlist","argument","explist","exp","atom","unaryop"];class $ extends hz{constructor(e){super(e),this._interp=new fz(this,fy,vz,bz),this.ruleNames=Nz,this.literalNames=Dz,this.symbolicNames=wz}unaryop=function(){var e=new Ey(this,this._ctx,this.state);this.enterRule(e,34,$.RULE_unaryop);var r=0;try{this.enterOuterAlt(e,1),this.state=299,r=this._input.LA(1),!(r-28&-32)&&1< * * This source code is licensed under the MIT License, found in * the LICENSE.txt file in the root directory of this source tree. - */var v=require("mathjs"),re=require("./qasm_import/QASMImport.js"),Bt=function(a,e,t){t=t||{};var n=Yt(a,t),s=JSON.parse(JSON.stringify(t));s.plusChar="+";var r=Yt(e,s);return n+r+(t.iotaChar?t.iotaChar:"i")},Yt=function(a,e){e=e||{},e.decimalPlaces&&(a=v.round(a,e.decimalPlaces));var t=a+"";e.fixedWidth&&(t=a.toFixed(e.decimalPlaces||14));var n=e.plusChar;return e.fixedWidth&&!n&&(n=" "),n&&a>=0&&(t=n+t),t},St=function(a,e){maxN=e||a+1,maxN>0&&(maxN=maxN-1),maxLen=maxN.toString(26).length;for(var t=a.toString(26);t.length2&&a.getChild(2).ID?s=a.getChild(2).ID():(d>3&&a.getChild(3).ID&&(o=a.getChild(3).ID()),d>5&&a.getChild(5).ID&&(s=a.getChild(5).ID()));var c=Object.getPrototypeOf(this.circuit),p=new c.constructor(s.length),u=a.ID().getText(),l=[];if(s.map(function(f){l.push(f.getText())}),o.map(function(f){var y=f.getText();p.params.push(y)}),e.goplist()){var m=e.goplist();m.uop().map(function(f){var y=f.ID()?f.ID().getText():"";if(y){var g=f.anylist()?f.anylist().idlist():null;f.anylist()&&f.anylist().mixedlist();var N=f.explist();switch(y){case"CX":y="cx";break;case"U":y="u3";break}if(!r.circuit.basicGates[y]&&!r.circuit.customGates[y])for(var D in r.circuit.basicGates){var C=r.circuit.basicGates[D];if(C.exportInfo&&C.exportInfo.qasm&&C.exportInfo.qasm.name&&C.exportInfo.qasm.name==y){y=D;break}if(C.exportInfo&&C.exportInfo.qiskit&&C.exportInfo.qiskit.name&&C.exportInfo.qiskit.name==y){y=D;break}}var v={};if(N&&N.exp()){var S=r.circuit.basicGates[y];if(S||(S=r.circuit.customGates[y]),S){var b=N.exp(),T=S.params||[];b.map(function(k,B){var Q=k.getText(),P=T.length>=B?T[B]:"";P&&(v[P]=Q)})}}var A={params:v},_=[];if(g)for(var q=g.ID().length,M=0;M=0&&f>=0)r.circuit.addGate("measure",-1,o+r.qregBase(s),{creg:{name:m,bit:f},condition:n||{}});else if(o>=0&&f<0)for(var l=0;l=B?_[B]:"";P&&(b[P]=Q)})}}var q={params:b,condition:n||{}};if(N)for(var u=r.qregLen(N.ID()[0].getText()),l=0;l + * + * This source code is licensed under the MIT License, found in + * the LICENSE.txt file in the root directory of this source tree. + */var Co=function(t,e,r){r=r||{};var n=Cf(t,r),a=JSON.parse(JSON.stringify(r));a.plusChar="+";var s=Cf(e,a);return n+s+(r.iotaChar?r.iotaChar:"i")},Cf=function(t,e){e=e||{},e.decimalPlaces&&(t=Lt(t,e.decimalPlaces));var r=t+"";e.fixedWidth&&(r=t.toFixed(e.decimalPlaces||14));var n=e.plusChar;return e.fixedWidth&&!n&&(n=" "),n&&t>=0&&(r=n+r),r},Mr=function(t,e){maxN=e||t+1,maxN>0&&(maxN=maxN-1),maxLen=maxN.toString(26).length;for(var r=t.toString(26);r.length()=>(Lt||Kt((Lt={exports:{}}).exports,Lt),Lt.exports),me=pe((Kt, 0, 0, 0, 0, 1, 0, 0, 0 0, 0, 0, 0, 0, 0.5+0.5i, 0.5-0.5i, 0 0, 0, 0, 0, 0, 0.5-0.5i, 0.5+0.5i, 0 - 0, 0, 0, 0, 0, 0, 0, 1`},pyquil:{name:"csrswap",array:"[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0.5 * (1 + 1j),0.5 * (1 - 1j),0],[0,0,0,0,0,0.5 * (1 - 1j),0.5 * (1 + 1j),0],[0,0,0,0,0,0,0,1]]"},braket:{name:"unitary",array:"[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0.5 * (1 + 1j),0.5 * (1 - 1j),0],[0,0,0,0,0,0.5 * (1 - 1j),0.5 * (1 + 1j),0],[0,0,0,0,0,0,0,1]]"},aqasm:{name:"SQRTSWAP",controlled:!0}}},reset:{description:"Resets qubit",matrix:[],params:[],drawingInfo:{connectors:["box"],label:"RST"},exportInfo:{quil:{name:"RESET"},cirq:{name:"reset",notTfqSupported:!0},quest:{name:"reset",func:"TODO"},qsharp:{name:"Reset"}}},measure:{description:"Measures qubit and stores chance (0 or 1) into classical bit",matrix:[],params:[],drawingInfo:{connectors:["gauge"],label:""},exportInfo:{quil:{name:"MEASURE"},cirq:{name:"measure"},quest:{name:"measure"},qsharp:{name:"M"}}}},this.init(a)};g.prototype.defaultHybridOptions=function(){return{optimizer:"Powell",tolerance:.001,costFunction:{python:"",javascript:""}}},g.prototype.init=function(a,e){e=e||{},this.numQubits=a||1,this.gates=[],this.partitionMap=[],this.partitionCount=0,this.partitionInfo={},this.params=[],this.options={params:{},hybrid:!1,hybridOptions:this.defaultHybridOptions()},e.keepCustomGates||(this.customGates={}),this.cregs={},this.collapsed=[],this.prob=[],this.measureResetsQubit=!1,this.reverseBitOrder=!1,this.clear()},g.prototype.clearGates=function(){this.gates=[];for(var a=0;a"u"&&(e=14);for(var t=0;t0&&(r+=","),e.minify?r+=" ":r+=` - `,o instanceof Array?(r+="[",o.map(function(p,d){d>0&&(r+=", "),p instanceof v.Complex?r+=t.formatComplex(p,e):typeof p=="object"&&(p.mathjs&&p.mathjs=="Complex"||p.type&&p.type=="Complex")?r+=Bt(p.re,p.im,e):typeof p=="string"?r+=p:s?r+=Bt(p,0,e):r+=Yt(p,e)}),r+="]"):o instanceof v.Complex?r+=t.formatComplex(o,e):typeof o=="object"&&(o.mathjs&&o.mathjs=="Complex"||o.type&&o.type=="Complex")?r+=Bt(el.re,el.im,e):typeof o=="string"?r+=o:s?r+=Bt(o,0,e):r+=Yt(o,e)}),n.length&&(e.minify?r+=" ":r+=` -`),r+="]",r},g.prototype.matrixRe=function(a){for(var e=[],t=0;tn&&(n=Q+1)})}for(var o=[],s=0;so&&(o=O+1)}),t.wireMap.c2.map(function(O){O+1>o&&(o=O+1)});var l=[];t.wireMap.c1.map(function(O,C){l.push({and:1<e))return!1}return!0},g.prototype.isEmptyPlace=function(a,e,t){var n=Math.min.apply(null,e),s=Math.max.apply(null,e);if(t){var r=this.numQubits-1;r>s&&(s=r)}for(var o=!0,l=n;l<=s;l++)if(!this.isEmptyCell(a,l)){o=!1;break}return o},g.prototype.lastNonEmptyPlace=function(a,e){var t=this.numCols(),n=!0,s=Math.min.apply(null,a),r=Math.max.apply(null,a);if(e){var o=this.numQubits-1;o>r&&(r=o)}for(;n&&t--;)for(var l=s;l<=r;l++)if(!this.isEmptyCell(t,l)){n=!1;break}return t},g.prototype.insertColumn=function(a){for(var e=0;ethis.numQubits&&(this.numQubits=d+1);this.gates.lengthf&&(f=e+1);for(var r=0;rc?m[n.creg.bit]:0;this.setCregBit(n.creg.name,c,q)}this.gates[d][e]=h}return l},g.prototype.appendGate=function(a,e,t){return this.addGate(a,-1,e,t)},g.prototype.insertGate=function(a,e,t,n){var s=[];if(Array.isArray(t))for(var r=0;rthis.numQubits&&(this.numQubits=p+1);this.gates.lengthd&&(d=e+1);for(var r=0;r=0;e--){for(var t=!0,n=0;n=0;e--){for(var t=!0,n=0;n=0;n--)for(var s=e.numQubits-1;s>=0;s--){var r=e.getGateAt(n,s);if(r&&r.connector==0){var o=e.basicGates[r.name];if(!o)throw new Error('Unknown gate "'+r.name+'"');if(o.matrix&&o.matrix.length){var l=e.getRawGate(o,r.options),p=e.transformMatrix(e.numQubits,l,r.wires,a);!t||!t.length?t=p:t=this.multiplySquareMatrices(t,p)}}}return t},g.prototype.eigenvalues2x2=function(a){var e=this.parseMatrix(a),t=[0,0],n=v.add(e[0][0],e[1][1]);return t[0]=v.divide(v.add(n,v.sqrt(v.add(v.multiply(v.multiply(4,e[0][1]),e[1][0]),v.pow(v.subtract(e[0][0],e[1][1]),2)))),2),t[1]=v.divide(v.subtract(n,v.sqrt(v.add(v.multiply(v.multiply(4,e[0][1]),e[1][0]),v.pow(v.subtract(e[0][0],e[1][1]),2)))),2),t},g.prototype.getBipartiteState=function(a,e){var t={},n=0;function s(f,h){var c=v.add(f,h),m=c.arg();return v.complex({abs:v.sqrt(v.pow(v.abs(f),2)+v.pow(v.abs(h),2)),arg:m})}for(var r in this.state){var o=parseInt(r),l=0,p=o&1<0,a[e][t].concurence=o,a[e][t].concurencePercent=v.round(o*100,2),a[t][e].entangled=o>0,a[t][e].concurence=o,a[t][e].concurencePercent=v.round(o*100,2)}return a};function $t(a,e){for(var t=a.toString(2);t.lengthm?v.evaluate(d[m],n):null:f[c]=v.evaluate(d[c],n)});var h=v.evaluate(p,f);l.push(h)}else l.push(p)}),r.push(l)}),r},g.prototype.countParameterizedGates=function(){for(var a=0,e=this.numCols(),t=0;t0&&a++}}return a},g.prototype.findGlobalParams=function(){for(var a={globalParams:[],cells:[]},e=function(c){var m=[],q=function(Q,_){Q.isSymbolNode&&!Q.isFunctionNode&&!v[Q.name]&&m.push(Q.name)},u=v.parse(c);return u.toString({handler:q}),m},t=this.numCols(),n=0;n0},g.prototype.updateGlobalParams=function(){this.params=this.getGlobalParams(),this.options=this.options||{},this.options.params=this.options.params||{};for(var a=0;a"u"&&(this.options.params[e]=0)}for(var e in this.options.params)this.params.indexOf(e)<0&&delete this.options.params[e];return this.params},g.prototype.makeAllParamsGlobal=function(){for(var a=this.getGlobalParams(),e=function(q){var u=[],Q=function(S,j){S.isSymbolNode&&!S.isFunctionNode&&!v[S.name]&&u.push(S.name)},_=v.parse(q);return _.toString({handler:Q}),u},t=this.numCols(),n=0;n=0;)f++;var h="var"+f;a.push(h);for(var c=0;c=0);return s},g.prototype.splitIntoBlocks=function(a,e){e=e||{};var t=[],n="{}",s=!0,r=null,o=new g;o.load(this.save(!0));for(var l=o.numCols(),p=0;p=0;P--){var x=Q[P];x>extWire&&(A=x)}extWire=A}}u++}}}}for(var b=new g,L=0,k=0;k"u"){var r='Missing parameter "'+c+'" for gate "'+o.name+'".';if(e){e([{msg:r,line:0,col:0}]);return}else throw new Error(r)}}}this.appendGate(o.name,p,d)}e&&e([])},g.prototype.exportRaw=function(){var a=this.options&&this.options.params?this.options.params:{},a=JSON.parse(JSON.stringify(a));for(var e in a)a[e]=v.evaluate(a[e]);var t=new g;t.load(this.save(!0));for(var n=t.numCols(),s=[],r=0;r0?(p.randomCircuit(this.numQubits,20,{useGates:a.useGates||["u3","cx"],noClassicControl:!0,noMeasure:!0,noReset:!0}),p.run(),p.stateAsArray().map(function(m){h.input.push([m.amplitude.re,m.amplitude.im])}),c=p.state):(r.initState(),r.stateAsArray().map(function(m){h.input.push([m.amplitude.re,m.amplitude.im])}),c=r.state),r.run(null,{initialState:c}),r.stateAsArray().map(function(m){h.output.push([m.amplitude.re,m.amplitude.im])}),s.problem.push(h)}return s}return s},g.prototype.save=function(a,e){this.updateGlobalParams();var t={numQubits:this.numQubits,params:JSON.parse(JSON.stringify(this.params)),options:JSON.parse(JSON.stringify(this.options)),gates:JSON.parse(JSON.stringify(this.gates)),customGates:JSON.parse(JSON.stringify(this.customGates)),cregs:JSON.parse(JSON.stringify(this.cregs))},n=null;if(a?n=this.decompose(t):n=t,e&&(n.gates&&n.gates.map(function(o){o&&o.map(function(l){l&&l.id&&delete l.id})}),n.customGates))for(var s in n.customGates){var r=n.customGates[s];r&&r.gates&&r.gates.map(function(o){o&&o.map(function(l){l&&l.id&&delete l.id})})}return n},g.prototype.load=function(a){this.numQubits=a.numQubits||1,this.clear(),this.params=JSON.parse(JSON.stringify(a.params||[])),this.options=JSON.parse(JSON.stringify(a.options||{})),this.gates=JSON.parse(JSON.stringify(a.gates||[])),this.customGates=JSON.parse(JSON.stringify(a.customGates||{})),this.cregs=JSON.parse(JSON.stringify(a.cregs||{})),this.options.params=this.options.params||{},this.options.hybrid=this.options.hybrid||!1,this.options.hybridOptions||(this.options.hybridOptions=this.defaultHybridOptions())};var ie=function(a){if(a<=0)throw new Error("Cannot generate the gray code for less than 1 bit.");var e=[0];for(i=0;i=0){f||(f=c);var q=n(c,f),u=q.indexOf(!0);if(u>=0)if(u!=m)h.push({gateName:"cx",wires:[o[u],o[m]],options:null});else for(var Q=s(c,"1"),_=1;_"u"?!0:t.ctrlQubits[s]);t.ctrlQubits=n}var r=this.basicGates[t.rootName];if(r&&r.drawingInfo&&r.drawingInfo.connectors){this.customGates[a].drawingInfo||(this.customGates[a].drawingInfo={});var o=[];t.ctrlQubits.map(function(l){l?o.push("dot"):o.push("ndot")}),o.push(r.drawingInfo.connectors[r.drawingInfo.connectors.length-1]),this.customGates[a].drawingInfo.connectors=o,this.customGates[a].drawingInfo.root=r.drawingInfo.root}}},g.prototype.registerMCXGate=function(a){var e=this.multiControlledGateName("mcx",a);return this.registerGate(e,this.MCXCircuit(a).save(!0)),e},g.prototype.registerMCU1Gate=function(a){var e=this.multiControlledGateName("mcu1",a);return this.registerGate(e,this.MCU1Circuit(a).save(!0)),e},g.prototype.registerMultiControlledGate=function(a,e){switch(a){case"cx":return this.registerMCXGate(e);case"cu1":return this.registerMCU1Gate(e)}return""},g.prototype.getOrRegisterMultiControlledEquivalent=function(a,e){var t=this.basicGates[a];if(t){if(t.drawingInfo&&(a=="x"||a=="u1"||t.drawingInfo.root=="x"||t.drawingInfo.root=="u1"))if(!this.basicGates["c"+a]||e){for(var n="c"+(t.drawingInfo.root||a),s=v.log2(t.matrix.length),r=[],o=0;o0&&(e.name=t[0],e.rootName=e.name.substring(1),e.rootName!="cx"&&e.rootName!="cu1"))return null;if(t.length>1){var n=parseInt(t[1]);!isNaN(n)&&n<=20&&(e.numCtrlQubits=n)}if(e.numCtrlQubits){var s=[];if(t.length>2)for(var r=0;r=0&&!t;)t=this.getGateAt(n,e),n--;return t},g.prototype.getGateAt=function(a,e){if(!this.gates[e]||!this.gates[e][a])return null;var t=JSON.parse(JSON.stringify(this.gates[e][a]));if(!t)return null;t.column=a,t.wires=[];for(var n=t.id,s=this.gates.length,e=0;e=2&&A[0]!="/"&&A[1]!="/"&&(o+="// "),o+=A,o+=` -`})}var p="",d="";if(t)p=" ",d="circ",o+="const "+t+` = function() { -`,o+=p+"const "+d+" = new QuantumCircuit("+r.numQubits+`); - -`,r.params&&r.params.length&&(o+=p+d+".params = "+JSON.stringify(r.params)+` - -`);else{p="",d="circuit",o+=p+`const QuantumCircuit = require("quantum-circuit"); - -`,o+=p+"const "+d+" = new QuantumCircuit("+r.numQubits+`); - -`;var f=r.usedGates();if(!e){var h=[];f.map(function(A){var b=r.basicGates[A];if(!b){var L=s.customGates[A];if(L){var k=new g;k.load(L),o+=k.exportJavaScript("",!0,A),h.push(A)}}}),h.map(function(A){o+=p+d+'.registerGate("'+A+'", '+A+`()); -`}),h.length>0&&(o+=` -`)}}var c=0;for(var m in this.cregs)o+=p+d+'.createCreg("'+m+'", '+(this.cregs[m].length||1)+`); -`,c++;c>0&&(o+=` -`);for(var q=r.numCols(),u=0;u0&&(o+=","),o+=_.wires[j];o+="]"}if(_.options){var O={};for(var C in _.options)if(_.options[C]){var P=_.options[C],y=!1;typeof P=="object"&&Object.keys(P).length===0&&P.constructor===Object&&(y=!0),y||(O[C]=P)}o+=", "+JSON.stringify(O)}o+=`); -`}}}if(t?(o+=` -`,o+=p+"return "+d+`; + 0, 0, 0, 0, 0, 0, 0, 1`},pyquil:{name:"csrswap",array:"[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0.5 * (1 + 1j),0.5 * (1 - 1j),0],[0,0,0,0,0,0.5 * (1 - 1j),0.5 * (1 + 1j),0],[0,0,0,0,0,0,0,1]]"},braket:{name:"unitary",array:"[[1,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0],[0,0,1,0,0,0,0,0],[0,0,0,1,0,0,0,0],[0,0,0,0,1,0,0,0],[0,0,0,0,0,0.5 * (1 + 1j),0.5 * (1 - 1j),0],[0,0,0,0,0,0.5 * (1 - 1j),0.5 * (1 + 1j),0],[0,0,0,0,0,0,0,1]]"},aqasm:{name:"SQRTSWAP",controlled:!0}}},reset:{description:"Resets qubit",matrix:[],params:[],drawingInfo:{connectors:["box"],label:"RST"},exportInfo:{quil:{name:"RESET"},cirq:{name:"reset",notTfqSupported:!0},quest:{name:"reset",func:"TODO"},qsharp:{name:"Reset"}}},measure:{description:"Measures qubit and stores chance (0 or 1) into classical bit",matrix:[],params:[],drawingInfo:{connectors:["gauge"],label:""},exportInfo:{quil:{name:"MEASURE"},cirq:{name:"measure"},quest:{name:"measure"},qsharp:{name:"M"}}}},this.init(t)};fe.prototype.defaultHybridOptions=function(){return{optimizer:"Powell",tolerance:.001,costFunction:{python:"",javascript:""}}},fe.prototype.init=function(t,e){e=e||{},this.numQubits=t||1,this.gates=[],this.partitionMap=[],this.partitionCount=0,this.partitionInfo={},this.params=[],this.options={params:{},hybrid:!1,hybridOptions:this.defaultHybridOptions()},e.keepCustomGates||(this.customGates={}),this.cregs={},this.collapsed=[],this.prob=[],this.measureResetsQubit=!1,this.reverseBitOrder=!1,this.clear()},fe.prototype.clearGates=function(){this.gates=[];for(var t=0;t"u"&&(e=14);for(var r=0;r0&&(s+=","),e.minify?s+=" ":s+=` + `,o instanceof Array?(s+="[",o.map(function(c,p){p>0&&(s+=", "),c instanceof Ot?s+=r.formatComplex(c,e):typeof c=="object"&&(c.mathjs&&c.mathjs=="Complex"||c.type&&c.type=="Complex")?s+=Co(c.re,c.im,e):typeof c=="string"?s+=c:a?s+=Co(c,0,e):s+=Cf(c,e)}),s+="]"):o instanceof Ot?s+=r.formatComplex(o,e):typeof o=="object"&&(o.mathjs&&o.mathjs=="Complex"||o.type&&o.type=="Complex")?s+=Co(el.re,el.im,e):typeof o=="string"?s+=o:a?s+=Co(o,0,e):s+=Cf(o,e)}),n.length&&(e.minify?s+=" ":s+=` +`),s+="]",s},fe.prototype.matrixRe=function(t){for(var e=[],r=0;rn&&(n=N+1)})}for(var o=[],a=0;ao&&(o=S+1)}),r.wireMap.c2.map(function(S){S+1>o&&(o=S+1)});var d=[];r.wireMap.c1.map(function(S,b){d.push({and:1<e))return!1}return!0},fe.prototype.isEmptyPlace=function(t,e,r){var n=Math.min.apply(null,e),a=Math.max.apply(null,e);if(r){var s=this.numQubits-1;s>a&&(a=s)}for(var o=!0,d=n;d<=a;d++)if(!this.isEmptyCell(t,d)){o=!1;break}return o},fe.prototype.lastNonEmptyPlace=function(t,e){var r=this.numCols(),n=!0,a=Math.min.apply(null,t),s=Math.max.apply(null,t);if(e){var o=this.numQubits-1;o>s&&(s=o)}for(;n&&r--;)for(var d=a;d<=s;d++)if(!this.isEmptyCell(r,d)){n=!1;break}return r},fe.prototype.insertColumn=function(t){for(var e=0;ethis.numQubits&&(this.numQubits=p+1);this.gates.lengthu&&(u=e+1);for(var s=0;sm?f[n.creg.bit]:0;this.setCregBit(n.creg.name,m,y)}this.gates[p][e]=l}return d},fe.prototype.appendGate=function(t,e,r){return this.addGate(t,-1,e,r)},fe.prototype.insertGate=function(t,e,r,n){var a=[];if(Array.isArray(r))for(var s=0;sthis.numQubits&&(this.numQubits=c+1);this.gates.lengthp&&(p=e+1);for(var s=0;s=0;e--){for(var r=!0,n=0;n=0;e--){for(var r=!0,n=0;n=0;n--)for(var a=e.numQubits-1;a>=0;a--){var s=e.getGateAt(n,a);if(s&&s.connector==0){var o=e.basicGates[s.name];if(!o)throw new Error('Unknown gate "'+s.name+'"');if(o.matrix&&o.matrix.length){var d=e.getRawGate(o,s.options),c=e.transformMatrix(e.numQubits,d,s.wires,t);!r||!r.length?r=c:r=this.multiplySquareMatrices(r,c)}}}return r},fe.prototype.eigenvalues2x2=function(t){var e=this.parseMatrix(t),r=[0,0],n=ut(e[0][0],e[1][1]);return r[0]=ur(ut(n,gr(ut(it(it(4,e[0][1]),e[1][0]),Mt(Kt(e[0][0],e[1][1]),2)))),2),r[1]=ur(Kt(n,gr(ut(it(it(4,e[0][1]),e[1][0]),Mt(Kt(e[0][0],e[1][1]),2)))),2),r},fe.prototype.getBipartiteState=function(t,e){var r={},n=0;function a(u,l){var m=ut(u,l),f=m.arg();return Wt({abs:gr(Mt(zt(u),2)+Mt(zt(l),2)),arg:f})}for(var s in this.state){var o=parseInt(s),d=0,c=o&1<0,t[e][r].concurence=o,t[e][r].concurencePercent=Lt(o*100,2),t[r][e].entangled=o>0,t[r][e].concurence=o,t[r][e].concurencePercent=Lt(o*100,2)}return t};function AE(t,e){for(var r=t.toString(2);r.lengthf?zr(p[f],n):null:u[m]=zr(String(p[m]),n)});var l=zr(c,u);d.push(l)}else d.push(c)}),s.push(d)}),s},fe.prototype.countParameterizedGates=function(){for(var t=0,e=this.numCols(),r=0;r0&&t++}}return t},fe.prototype.findGlobalParams=function(){for(var t={globalParams:[],cells:[]},e=function(m){var f=[],y=function(N,D){N.isSymbolNode&&!N.isFunctionNode&&!DE[N.name]&&f.push(N.name)},g=Ct(m);return g.toString({handler:y}),f},r=this.numCols(),n=0;n0},fe.prototype.updateGlobalParams=function(){this.params=this.getGlobalParams(),this.options=this.options||{},this.options.params=this.options.params||{};for(var t=0;t"u"&&(this.options.params[e]=0)}for(var e in this.options.params)this.params.indexOf(e)<0&&delete this.options.params[e];return this.params},fe.prototype.makeAllParamsGlobal=function(){for(var t=this.getGlobalParams(),e=function(y){var g=[],N=function(C,v){C.isSymbolNode&&!C.isFunctionNode&&!DE[C.name]&&g.push(C.name)},D=Ct(y);return D.toString({handler:N}),g},r=this.numCols(),n=0;n=0;)u++;var l="var"+u;t.push(l);for(var m=0;m=0);return a},fe.prototype.splitIntoBlocks=function(t,e){e=e||{};var r=[],n="{}",a=!0,s=null,o=new fe;o.load(this.save(!0));for(var d=o.numCols(),c=0;c=0;T--){var _=N[T];_>extWire&&(q=_)}extWire=q}}g++}}}}for(var M=new fe,O=0,k=0;k"u"){var s='Missing parameter "'+m+'" for gate "'+o.name+'".';if(e){e([{msg:s,line:0,col:0}]);return}else throw new Error(s)}}}this.appendGate(o.name,c,p)}e&&e([])},fe.prototype.exportRaw=function(){var t=this.options&&this.options.params?this.options.params:{},t=JSON.parse(JSON.stringify(t));for(var e in t)t[e]=zr(t[e]);var r=new fe;r.load(this.save(!0));for(var n=r.numCols(),a=[],s=0;s0?(c.randomCircuit(this.numQubits,20,{useGates:t.useGates||["u3","cx"],noClassicControl:!0,noMeasure:!0,noReset:!0}),c.run(),c.stateAsArray().map(function(f){l.input.push([f.amplitude.re,f.amplitude.im])}),m=c.state):(s.initState(),s.stateAsArray().map(function(f){l.input.push([f.amplitude.re,f.amplitude.im])}),m=s.state),s.run(null,{initialState:m}),s.stateAsArray().map(function(f){l.output.push([f.amplitude.re,f.amplitude.im])}),a.problem.push(l)}return a}return a},fe.prototype.save=function(t,e){this.updateGlobalParams();var r={numQubits:this.numQubits,params:JSON.parse(JSON.stringify(this.params)),options:JSON.parse(JSON.stringify(this.options)),gates:JSON.parse(JSON.stringify(this.gates)),customGates:JSON.parse(JSON.stringify(this.customGates)),cregs:JSON.parse(JSON.stringify(this.cregs))},n=null;if(t?n=this.decompose(r):n=r,e&&(n.gates&&n.gates.map(function(o){o&&o.map(function(d){d&&d.id&&delete d.id})}),n.customGates))for(var a in n.customGates){var s=n.customGates[a];s&&s.gates&&s.gates.map(function(o){o&&o.map(function(d){d&&d.id&&delete d.id})})}return n},fe.prototype.load=function(t){this.numQubits=t.numQubits||1,this.clear(),this.params=JSON.parse(JSON.stringify(t.params||[])),this.options=JSON.parse(JSON.stringify(t.options||{})),this.gates=JSON.parse(JSON.stringify(t.gates||[])),this.customGates=JSON.parse(JSON.stringify(t.customGates||{})),this.cregs=JSON.parse(JSON.stringify(t.cregs||{})),this.options.params=this.options.params||{},this.options.hybrid=this.options.hybrid||!1,this.options.hybridOptions||(this.options.hybridOptions=this.defaultHybridOptions())};var Ez=function(t){if(t<=0)throw new Error("Cannot generate the gray code for less than 1 bit.");var e=[0];for(i=0;i=0){u||(u=m);var y=n(m,u),g=y.indexOf(!0);if(g>=0)if(g!=f)l.push({gateName:"cx",wires:[o[g],o[f]],options:null});else for(var N=a(m,"1"),D=1;D"u"?!0:r.ctrlQubits[a]);r.ctrlQubits=n}var s=this.basicGates[r.rootName];if(s&&s.drawingInfo&&s.drawingInfo.connectors){this.customGates[t].drawingInfo||(this.customGates[t].drawingInfo={});var o=[];r.ctrlQubits.map(function(d){d?o.push("dot"):o.push("ndot")}),o.push(s.drawingInfo.connectors[s.drawingInfo.connectors.length-1]),this.customGates[t].drawingInfo.connectors=o,this.customGates[t].drawingInfo.root=s.drawingInfo.root}}},fe.prototype.registerMCXGate=function(t){var e=this.multiControlledGateName("mcx",t);return this.registerGate(e,this.MCXCircuit(t).save(!0)),e},fe.prototype.registerMCU1Gate=function(t){var e=this.multiControlledGateName("mcu1",t);return this.registerGate(e,this.MCU1Circuit(t).save(!0)),e},fe.prototype.registerMultiControlledGate=function(t,e){switch(t){case"cx":return this.registerMCXGate(e);case"cu1":return this.registerMCU1Gate(e)}return""},fe.prototype.getOrRegisterMultiControlledEquivalent=function(t,e){var r=this.basicGates[t];if(r){if(r.drawingInfo&&(t=="x"||t=="u1"||r.drawingInfo.root=="x"||r.drawingInfo.root=="u1"))if(!this.basicGates["c"+t]||e){for(var n="c"+(r.drawingInfo.root||t),a=hi(r.matrix.length),s=[],o=0;o0&&(e.name=r[0],e.rootName=e.name.substring(1),e.rootName!="cx"&&e.rootName!="cu1"))return null;if(r.length>1){var n=parseInt(r[1]);!isNaN(n)&&n<=20&&(e.numCtrlQubits=n)}if(e.numCtrlQubits){var a=[];if(r.length>2)for(var s=0;s=0&&!r;)r=this.getGateAt(n,e),n--;return r},fe.prototype.getGateAt=function(t,e){if(!this.gates[e]||!this.gates[e][t])return null;var r=JSON.parse(JSON.stringify(this.gates[e][t]));if(!r)return null;r.column=t,r.wires=[];for(var n=r.id,a=this.gates.length,e=0;e=2&&q[0]!="/"&&q[1]!="/"&&(o+="// "),o+=q,o+=` +`})}var c="",p="";if(r)c=" ",p="circ",o+="const "+r+` = function() { +`,o+=c+"const "+p+" = new QuantumCircuit("+s.numQubits+`); + +`,s.params&&s.params.length&&(o+=c+p+".params = "+JSON.stringify(s.params)+` + +`);else{c="",p="circuit",o+=c+`const QuantumCircuit = require("quantum-circuit"); + +`,o+=c+"const "+p+" = new QuantumCircuit("+s.numQubits+`); + +`;var u=s.usedGates();if(!e){var l=[];u.map(function(q){var M=s.basicGates[q];if(!M){var O=a.customGates[q];if(O){var k=new fe;k.load(O),o+=k.exportJavaScript("",!0,q),l.push(q)}}}),l.map(function(q){o+=c+p+'.registerGate("'+q+'", '+q+`()); +`}),l.length>0&&(o+=` +`)}}var m=0;for(var f in this.cregs)o+=c+p+'.createCreg("'+f+'", '+(this.cregs[f].length||1)+`); +`,m++;m>0&&(o+=` +`);for(var y=s.numCols(),g=0;g0&&(o+=","),o+=D.wires[v];o+="]"}if(D.options){var S={};for(var b in D.options)if(D.options[b]){var T=D.options[b],A=!1;typeof T=="object"&&Object.keys(T).length===0&&T.constructor===Object&&(A=!0),A||(S[b]=T)}o+=", "+JSON.stringify(S)}o+=`); +`}}}if(r?(o+=` +`,o+=c+"return "+p+`; `,o+=`}; `):(o+=` -`,o+=p+d+`.run(); - -`,o+=p+`console.log("Probabilities:"); -`,o+=p+`console.log(JSON.stringify(circuit.probabilities())); - -`,o+=p+`console.log("Measure all:"); -`,o+=p+`console.log(JSON.stringify(circuit.measureAll())); - -`,r.cregCount()&&(o+=p+`console.log("Classical registers:"); -`,o+=p+`console.log(circuit.cregsAsString()); - -`)),n){var x={metadata:{kernelspec:{display_name:"Javascript (Node.js)",language:"javascript",name:"javascript"},language_info:{file_extension:".js",mimetype:"application/javascript",name:"javascript"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:o,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(x)}return o},g.prototype.exportQiskit=function(a,e,t,n,s,r,o,l,p,d,f){var h={comment:a,decompose:e,versionStr:n,providerName:s,backendName:r,asJupyter:o,shots:l,hybrid:f};return this.exportToQiskit(h,t,p,d)},g.prototype.exportQuEST=function(a,e,t,n){var s={comment:a,decompose:e};return this.exportToQuEST(s,t,n)},g.prototype.exportQASM=function(a,e,t,n,s,r){var o={comment:a,decompose:e,compatibilityMode:s};return this.exportToQASM(o,t,n,r)},g.prototype.importQASM=function(a,e,t){this.init(),re(this,a,e,t)},g.prototype.exportPyquil=function(a,e,t,n,s,r,o,l,p){var d={comment:a,decompose:e,versionStr:n,lattice:s,asQVM:r,asJupyter:o,shots:l,hybrid:p};return this.exportToPyquil(d,t)},g.prototype.exportQuil=function(a,e,t,n){var s={comment:a,decompose:e,versionStr:n};return this.exportToQuil(s,t)},g.prototype.importQuil=function(a,e,t,n,s,r){var o=this;t=t||{},o.init(),s=s||{},r=r||0;function l(V){if(o.customGates&&o.customGates[V])return{name:V,customGate:o.customGates[V]};for(var G in o.basicGates){var Z=o.basicGates[G];if(Z.exportInfo){if(Z.exportInfo.quil&&Z.exportInfo.quil.name==V)return{name:G,gateDef:Z,quilDef:Z.exportInfo.quil};if(Z.exportInfo.pyquil&&Z.exportInfo.pyquil.name==V)return{name:G,gateDef:Z,quilDef:Z.exportInfo.pyquil}}}return null}var p=a.split(` -`),d=[],f=!1;p.map(function(V,G){if(V=V.split("#")[0],V.length?V=V.trim():f=!1,f){var Z=V.split(";");Z.map(function(ot){ot.trim().length&&d[d.length-1].body.push(ot.trim())})}else if(V.length){var B=V.split(";"),Z=[];B.map(function(U){U.trim().length&&Z.push(U.trim())}),Z.map(function(U){var E=U.split(" "),T=E[E.length-1];if(T.length&&(T[T.length-1]==":"&&(f=!0,T=T.substring(0,T.length-1),E[E.length-1]=T),E.length)){var tt="GATE";(E[0]=="DEFGATE"||E[0]=="DEFCIRCUIT")&&(tt=E[0],E.splice(0,1));var I=E.join(" "),X=[],z=I.indexOf("(");if(z>=0){var J=I.indexOf(")");J>z&&(X=I.substring(z+1,J).split(","),X.map(function(H,ut){for(H=H.trim();H.length&&H[0]=="%";)H=H.slice(1);X[ut]=H}),J+1<=I.length?(tok=I.substring(J+1,I.length).split(" "),E=[],tok.map(function(H){H=H.trim(),H.length&&E.push(H)})):E=[],I=I.substring(0,z).trim())}else I=E.splice(0,1)[0].trim();for(var rt=[],Y=0;Y=0?rt.push(D):rt.push(et)}else rt.push(et)}d.push({type:tt,name:I,params:X,args:rt,body:[],line:G,col:0})}})}});for(var h=d.length,c=0;c=m.params.length){var P='Internal error: QUIL definition for gate "'+m.name+" is invalid.";if(e){e([{msg:P,line:r+m.line,col:m.col}]);return}else throw new Error(P)}else j[x]=m.params[A]}}else{var O=S.customGate;if((O.params||[]).length!=(m.params||[]).length){var P="Invalid number of params. Expected "+(O.params||[]).length+" got "+(m.params||[]).length+".";if(e){e([{msg:P,line:r+m.line,col:m.col}]);return}else throw new Error(P)}else for(var y=0;y=0){var R=N.indexOf("]");R>W&&(cregBit=N.substring(W+1,R),cregName=N.substring(0,W),k={bit:cregBit,name:cregName})}else{var F=parseInt(N);if(isNaN(F))if(y>0)L.push(N);else{var P='Invalid argument "'+N+'"';if(e){e([{msg:P,line:r+m.line,col:m.col}]);return}else throw new Error(P)}L.push(F)}}else{var F=parseInt(N);if(isNaN(F)){var P='Invalid argument "'+N+'"';if(e){e([{msg:P,line:r+m.line,col:m.col}]);return}else throw new Error(P)}L.push(F)}}o.appendGate(S.name,L,{params:j,creg:k})}else{var P='Cannot recognize "'+m.name+'".';if(e){e([{msg:P,line:r+m.line,col:m.col}]);return}else throw new Error(P)}}}break}}e&&e([])},g.prototype.importIonq=function(a,e){var t=this,n=a.qubits||1;if(t.init(n),!a.circuit){var s="Invalid file format.";if(e){e([{msg:s,line:-1,col:-1}]);return}else throw new Error(s)}function r(o){if(t.customGates&&t.customGates[o])return{name:o,customGate:t.customGates[o]};for(var l in t.basicGates){var p=t.basicGates[l];if(p.exportInfo&&p.exportInfo.ionq&&(p.exportInfo.ionq.name&&p.exportInfo.ionq.name==o||p.exportInfo.ionq.names&&p.exportInfo.ionq.names.indexOf(o)>=0))return{name:l,gateDef:p}}return null}a.circuit.map(function(o){var l=r(o.gate);if(!l){var p='Unknown gate "'+o.gate+'"';if(e){e([{msg:p,line:-1,col:-1}]);return}else throw new Error(p)}var d=[];typeof o.control<"u"&&d.push(o.control),typeof o.controls<"u"&&(d=d.concat(o.controls)),typeof o.target<"u"&&d.push(o.target),typeof o.targets<"u"&&(d=d.concat(o.targets));var f=[];typeof o.rotation<"u"&&f.push(o.rotation),typeof o.phase<"u"&&f.push(o.phase),typeof o.phases<"u"&&(f=f.concat(o.phases));var h=l.gateDef?l.gateDef.matrix?v.log2(l.gateDef.matrix.length):1:l.customGate.numQubits||1,c=l.gateDef?l.gateDef.params||[]:l.customGate.params||[];if(d.length!=h){var p='Gate "'+o.gate+'": invalid number of qubits. Expected '+h+" but got "+d.length+".";if(e){e([{msg:p,line:-1,col:-1}]);return}else throw new Error(p)}if(f.length!=c.length){var p='Gate "'+o.gate+'": invalid number of params. Expected '+c.length+" but got "+f.length+".";if(e){e([{msg:p,line:-1,col:-1}]);return}else throw new Error(p)}var m={};f.length&&(m.params={},c.map(function(q,u){m.params[q]=o.rotation?f[u]:2*v.pi*f[u]})),t.appendGate(l.name,d,m)}),e&&e([])},g.prototype.exportToIonq=function(a,e){var t=this.options&&this.options.params?this.options.params:{},t=JSON.parse(JSON.stringify(t));for(var n in t)t[n]=v.evaluate(t[n]);var s=new g;s.load(this.save(!0));for(var r={qubits:s.numQubits,circuit:[]},o=s.numCols(),l=0;l-1}a=!0;var s=this.save(a),r=new g,o=new g;r.load(s),o.load(s);var l={cols:[],gates:[]},p=null,d=this.options&&this.options.params?this.options.params:{},f=new g,h={};if(!a)for(var c=o.numCols(),m=c-1;m>=0;m--)for(var q=0;q=0;P--){var y=h[gateKey].info[P],x=y.gateInCustomCircuit;r.insertGate(x.name,y.column,x.wires,x.options)}for(var A=null,b=null,m=0;mu.wires.length||u.wires[0]>u.wires[1]?p=r.transformMatrix(R-F+1,ot,E):p=ot,p.map(function(mt,K){K>0&&(B+=","),B+="{",mt.map(function(pt,qt){qt>0&&(B+=","),typeof pt!="object"?pt=v.complex(pt).toString():pt=pt.toString(),B+=pt}),B+="}"}),B+="}",u.connector==0){var T=l.gates.find(function(mt){return mt.id==G});T||l.gates.push({id:G,matrix:B});for(var tt=!1,I=0;I1){var d=p[0]+"",f=parseInt(p[1]);this.createCreg(d,f);var h=(1<>R.offset}}}function m(k){var N=0;for(var W in t.cregs){var R=t.cregs[W];if(N+R.length>k)return{name:W,bit:k-N};N+=R.length}return null}n.instructions;for(var q={},u=0;u"u"&&(t.drawHybrid=this.options?!!this.options.hybrid:!1);var n=function(M){var $=0;for(var gt in e.cregs){if(gt==M)return $;$++}return $},s=function(M){return t.wireLabelWidth+(t.cellWidth+t.hSpacing)*M+t.hSpacing},r=function(M){return(t.cellHeight+t.vSpacing)*M+t.vSpacing},o=this.numQubits,l=this.numCols(),p=this.cregCount(),d=l;t.drawBlochSpheres&&d++;var f=d;t.drawHybrid&&(d+=2);var h=s(d),c=s(f),m=(t.cellHeight+t.vSpacing)*(o+p+(t.drawHybrid?1:0))+t.vSpacing;(t.cellHeight+t.vSpacing)*(o+p)+t.vSpacing;var q=(t.cellHeight+t.vSpacing)*(o+p)+(t.vSpacing+t.cellHeight/2);function u(M,$,gt,nt){var it=(nt-90)*Math.PI/180;return{x:M+gt*Math.cos(it),y:$+gt*Math.sin(it)}}function Q(M,$,gt,nt,it){var st=u(M,$,gt,it),lt=u(M,$,gt,nt),at="0",ft=["M",st.x,st.y,"A",gt,gt,0,at,0,lt.x,lt.y].join(" ");return ft}var _=function(M){return(t.cellHeight+t.vSpacing)*M+(t.vSpacing+t.cellHeight/2)},S=function(M){return(t.cellHeight+t.vSpacing)*M+t.vSpacing},j=function(M){return(t.cellHeight+t.vSpacing)*(o+n(M))+(t.vSpacing+t.cellHeight/2)};function O(M,$,gt,nt,it){var st=t.cellWidth,lt=t.cellHeight,at="";return at+='',nt&&(at+=''+nt+""),at}function C(M,$,gt,nt,it){var st=t.cellWidth*2,lt=t.cellHeight,at="";return at+='',nt&&(at+=''+nt+""),at}function P(M,$,gt,nt,it){var st=M+t.cellWidth/2,lt=$+t.cellHeight/2,at=t.cellWidth*.8,ft=t.cellHeight*.8,ht=M+(t.cellWidth-at)/2,Nt=$+(t.cellHeight-ft)/2,jt="";return jt+='',nt&&(jt+=''+nt+""),jt}function y(M,$,gt,nt){var it=M+t.cellWidth/2,st=$+t.cellHeight/2,lt=t.cellWidth*.8,at=t.cellHeight*.8,ft=M+(t.cellWidth-lt)/2,ht=$+(t.cellHeight-at)/2,Nt="";return Nt+='',Nt+='',Nt+='',Nt}function x(M,$,gt,nt){var it=t.cellWidth,st=t.cellHeight,lt=M+it/2,at=$+st/2,ft=st/5,ht="";return ht+='',ht+='',ht+='',ht}function A(M,$,gt,nt){var it=t.cellWidth*.4,st=t.cellHeight*.4,lt=M+(t.cellWidth-it)/2,at=$+(t.cellHeight-st)/2,ft="";return ft+='',ft+='',ft}function b(M,$,gt,nt){var it=t.cellWidth,st=t.cellHeight,lt=M+it/2,at=$+st/2,ft="";return ft+='',ft}function L(M,$,gt,nt){var it=t.cellWidth,st=t.cellHeight,lt=M+it/2,at=$+st/2,ft="";return ft+='',ft}function k(M,$,gt,nt,it,st,lt){var at="";switch(it!="box"&&st&&(at+=O(M,$,gt,"",lt)),it){case"box":at+=O(M,$,gt,nt,lt);break;case"rect":at+=C(M,$,gt,nt);break;case"circle":at+=P(M,$,gt,nt,lt);break;case"not":at+=y(M,$,gt,lt);break;case"x":at+=A(M,$,gt,lt);break;case"dot":at+=b(M,$,gt,lt);break;case"ndot":at+=L(M,$,gt,lt);break;case"gauge":at+=x(M,$,gt,lt);break}return at}function N(M,$,gt){var nt=e.basicGates[M.name]?e.basicGates[M.name].drawingInfo:null;nt||(nt=e.customGates[M.name]?e.customGates[M.name].drawingInfo:null);var it=!1,st=t&&t.selection&&t.selection.indexOf(M.id)>=0;for(nt||(M.wires.length==1?nt={connectors:["box"]}:(nt={connectors:[]},it=!0));nt.connectors.length',it){var Nt=s($)-t.blackboxPaddingX,jt=S(lt)-t.blackboxPaddingY,Jt=t.cellWidth+2*t.blackboxPaddingX,Xt=S(at)+t.cellHeight-jt+t.blackboxPaddingY,ee=Nt+Jt/2;ft=jt+Xt,ht+=''+(nt.label||M.name)+"",ht+=''}if(st){var Nt=s($)-t.selectionPaddingX,jt=S(lt)-t.selectionPaddingY,Jt=t.cellWidth+2*t.selectionPaddingX,Xt=S(at)+t.cellHeight-jt+t.selectionPaddingY,ee=Nt+Jt/2;ft=jt+Xt,ht+=''}if(lt!=at&&!it){var Ot=s($)+t.cellWidth/2,Ft=r(lt)+t.cellHeight/2,Tt=r(at)+t.cellHeight/2;ht+=''}var ne=Math.max.apply(null,M.wires);if(M.wires.map(function(It,Vt){switch(nt.connectors[Vt]){case"box":{var zt=s($),At=r(It);ht=ht+O(zt,At,M.name,it?St(Vt,o):nt.label||M.name,st),!it&&It==at&&(ft=At+t.cellHeight)}break;case"circle":{var zt=s($),At=r(It);if(ht=ht+P(zt,At,M.name,it?St(Vt,o):nt.label||M.name,st),!it&&It==at){var Zt=t.cellHeight*.8;ft=At+Zt+(t.cellHeight-Zt)/2}}break;case"not":{var Wt=s($),Mt=r(It);if(ht=ht+y(Wt,Mt,M.name,st),!it&&It==at){var Zt=t.cellHeight*.8;ft=Mt+Zt+(t.cellHeight-Zt)/2}}break;case"x":{var Wt=s($),Mt=r(It);ht=ht+A(Wt,Mt,M.name,st),!it&&It==at&&(ft=_(at))}break;case"dot":{var Wt=s($),Mt=r(It);ht=ht+b(Wt,Mt,M.name,st),!it&&It==at&&(ft=_(at)+t.dotRadius)}break;case"ndot":{var Wt=s($),Mt=r(It);ht=ht+L(Wt,Mt,M.name,st),!it&&It==at&&(ft=_(at)+t.dotRadius)}break;case"gauge":{var zt=s($),At=r(It);ht=ht+x(zt,At,M.name,st),!it&&It==at&&(ft=At+t.cellHeight)}break}if(M.options&&M.options.params&&It==ne){var zt=s($),At=r(It),se=zt+t.cellWidth/2,Ht="",ae=0;for(var oe in M.options.params){Ht&&(Ht+=", ");var Dt=M.options.params[oe];typeof Dt=="string"&&Dt.match(/^[\+\-]?\d*\.?\d+(?:[Ee][\+\-]?\d+)?$/)&&(Dt=parseFloat(Dt)),typeof Dt=="number"&&(Dt=v.round(Dt,3)),Ht+=Dt,ae++}Ht.length>26&&(Ht="("+ae+" params)"),ht+=''+Ht+""}}),M.name=="measure"&&M.options&&M.options.creg&&M.options.creg.name){var Ot=s($)+t.cellWidth/2,Ft=ft,Tt=j(M.options.creg.name);ht+='',ht+='',ht+='',ht+=''+M.options.creg.bit+""}if(M.options&&M.options.condition&&M.options.condition.creg){var Ot=s($)+t.cellWidth/2,Ft=ft,Tt=j(M.options.condition.creg);ht+='',ht+='',ht+='== '+M.options.condition.value+""}return ht+="",ht}function W(M,$){var gt="",nt=t.cellWidth+t.hSpacing,it=t.cellHeight+t.vSpacing,st=s(M)-t.hSpacing,lt=r($)-t.vSpacing;return $==o&&(it=t.vSpacing),M==l&&(nt=t.hSpacing),gt+='',gt}function R(M,$,gt){var nt="",it=t.cellWidth,st=t.cellHeight,lt=s($),at=r(gt);return nt+='',nt}function F(M,$,gt,nt){var it="",st=t.cellWidth,lt=t.cellHeight,at=s(M),ft=r($);return it+='',it+='',it+='',it+='
',it+='',it+="",it+="
",it+="",it+="",it}function V(M){return M.replace(/&/g,"&").replace(//g,">").replace(/"/g,""").replace(/'/g,"'")}if(t.gateGallery||t.gateGalleryRaw||t.customGateGallery){var G=[];if(t.gateGallery||t.gateGalleryRaw){var Z=[];for(var B in this.basicGates){var ot=this.basicGates[B],U=JSON.parse(JSON.stringify(ot.drawingInfo||{connectors:["box"]}));if(U.connectors){var E=U.label||B,T=U.connectors?U.connectors[U.connectors.length-1]:"box";t.gateGallery&&(T=="x"||T=="dot")&&(T="box");var tt=E+"|"+T;if(Z.indexOf(tt)<0&&B!="ccx"){Z.push(tt);var I="";t.embedded||(I+='',I+=''),I+='',I=I+k(0,0,B,E,T,!!t.gateGallery,!1),I+="",t.gateGallery?G.push(I):G.push({name:B,svg:I})}}}var X="";t.embedded||(X+='',X+=''),X+='',X=X+k(0,0,"dot","dot","dot",!!t.gateGallery,!1),X+="",t.gateGallery?G.push(X):G.push({name:"dot",svg:X});var z="";t.embedded||(z+='',z+=''),z+='',z=z+k(0,0,"ndot","ndot","ndot",!!t.gateGallery,!1),z+="",t.gateGallery?G.push(z):G.push({name:"dot",svg:z})}if(t.customGateGallery)for(var B in this.customGates){var I="";t.embedded||(I+='',I+=''),I+='',I=I+k(0,0,B,B,"rect",!1,!1),I+="",G.push(I)}return G}else{var I="";if(t.embedded||(I+='',I+=''),I+='',t.placeholders)for(var J=0;J<=l;J++)for(var rt=0;rt<=this.numQubits;rt++)I+=W(J,rt);for(var rt=0;rt|'+et+"⟩",I+='',I+='q'+rt+""}for(var D in this.cregs){var Y=j(D);I+='0',I+='',I+=''+D+""}for(var J=0;J',I+='Cost';var Gt=s(ut+1)+t.blackboxPaddingX,xt=Gt+pt/2;I+='',I+='',I+='',I+='Optimizer';var kt=xt,Qt=cLinkTopY,Ut=q;I+='';var wt=0,vt=this.findGlobalParams();if(vt.globalParams.length){wt=s(vt.cells[0][0])+t.cellWidth+t.hSpacing/2;for(var ct=0;ct',I+=''}var Y=q;I+=''}else{wt=s(f+1);var Y=q;I+='',I+='(no global params)'}}I+=""}return I},g.prototype.exportToQiskit=function(a,e,t,n){a=a||{};var s=a.comment,r=a.decompose,o=a.versionStr,l=a.providerName,p=a.backendName,d=a.asJupyter,f=a.shots,h=a.hybrid;typeof h>"u"&&(h=this.options?!!this.options.hybrid:!1);var c=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"",m=this;l=l||"Aer",p=p||"",l=="Aer"&&(p||(h&&c.indexOf("state")>=0?p="statevector_simulator":p="qasm_simulator"),p=="aer_simulator"&&(p="qasm_simulator"),p=="aer_simulator_statevector"&&(p="statevector_simulator")),l=="IONQ"&&(p||(p="ionq_simulator")),f=f||1024;var q=new g;q.load(this.save(r));var u="";if(s){var Q=(s||"").split(` -`);Q.map(function(K){K.length>=1&&K[0]!="#"&&(u+="# "),u+=K,u+=` -`})}var _=function(K,pt){if(K.isSymbolNode){var qt=["pi","sin","cos","tan","asin","acos","atan"];if(qt.indexOf(K.name)>=0)return"np."+K.name;var dt=K.name;if(pt.replaceVars&&typeof pt.replaceVars[dt]<"u")return dt=pt.replaceVars[dt],m.params.indexOf(dt)>=0&&h?"params["+m.params.indexOf(dt)+"]":dt;if(m.params.indexOf(K.name)>=0&&h)return"params["+m.params.indexOf(K.name)+"]"}},S=function(K,pt){var qt="",dt=K.split(` -`),bt=-1;dt.map(function(kt){var Qt=kt.search(/\S/);Qt>=0&&(bt<0||Qt=0&&p!="statevector_simulator"&&(u+=`from qiskit_experiments.library import StateTomography -`);break;case"IBMQ":u+="from qiskit import execute, "+l+` +`,o+=c+p+`.run(); + +`,o+=c+`console.log("Probabilities:"); +`,o+=c+`console.log(JSON.stringify(circuit.probabilities())); + +`,o+=c+`console.log("Measure all:"); +`,o+=c+`console.log(JSON.stringify(circuit.measureAll())); + +`,s.cregCount()&&(o+=c+`console.log("Classical registers:"); +`,o+=c+`console.log(circuit.cregsAsString()); + +`)),n){var _={metadata:{kernelspec:{display_name:"Javascript (Node.js)",language:"javascript",name:"javascript"},language_info:{file_extension:".js",mimetype:"application/javascript",name:"javascript"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:o,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(_)}return o},fe.prototype.exportQiskit=function(t,e,r,n,a,s,o,d,c,p,u){var l={comment:t,decompose:e,versionStr:n,providerName:a,backendName:s,asJupyter:o,shots:d,hybrid:u};return this.exportToQiskit(l,r,c,p)},fe.prototype.exportQuEST=function(t,e,r,n){var a={comment:t,decompose:e};return this.exportToQuEST(a,r,n)},fe.prototype.exportQASM=function(t,e,r,n,a,s){var o={comment:t,decompose:e,compatibilityMode:a};return this.exportToQASM(o,r,n,s)},fe.prototype.importQASM=function(t,e,r){this.init(),Cz(this,t,e,r)},fe.prototype.exportPyquil=function(t,e,r,n,a,s,o,d,c){var p={comment:t,decompose:e,versionStr:n,lattice:a,asQVM:s,asJupyter:o,shots:d,hybrid:c};return this.exportToPyquil(p,r)},fe.prototype.exportQuil=function(t,e,r,n){var a={comment:t,decompose:e,versionStr:n};return this.exportToQuil(a,r)},fe.prototype.importQuil=function(t,e,r,n,a,s){var o=this;r=r||{},o.init(),a=a||{},s=s||0;function d(R){if(o.customGates&&o.customGates[R])return{name:R,customGate:o.customGates[R]};for(var U in o.basicGates){var L=o.basicGates[U];if(L.exportInfo){if(L.exportInfo.quil&&L.exportInfo.quil.name==R)return{name:U,gateDef:L,quilDef:L.exportInfo.quil};if(L.exportInfo.pyquil&&L.exportInfo.pyquil.name==R)return{name:U,gateDef:L,quilDef:L.exportInfo.pyquil}}}return null}var c=t.split(` +`),p=[],u=!1;c.map(function(R,U){if(R=R.split("#")[0],R.length?R=R.trim():u=!1,u){var L=R.split(";");L.map(function(ge){ge.trim().length&&p[p.length-1].body.push(ge.trim())})}else if(R.length){var Y=R.split(";"),L=[];Y.map(function(V){V.trim().length&&L.push(V.trim())}),L.map(function(V){var G=V.split(" "),re=G[G.length-1];if(re.length&&(re[re.length-1]==":"&&(u=!0,re=re.substring(0,re.length-1),G[G.length-1]=re),G.length)){var ve="GATE";(G[0]=="DEFGATE"||G[0]=="DEFCIRCUIT")&&(ve=G[0],G.splice(0,1));var K=G.join(" "),pe=[],he=K.indexOf("(");if(he>=0){var ie=K.indexOf(")");if(ie>he){if(pe=K.substring(he+1,ie).split(","),pe.map(function(_e,J){for(_e=_e.trim();_e.length&&_e[0]=="%";)_e=_e.slice(1);pe[J]=_e}),ie+1<=K.length){const _e=K.substring(ie+1,K.length).split(" ");G=[],_e.map(function(J){J=J.trim(),J.length&&G.push(J)})}else G=[];K=K.substring(0,he).trim()}}else K=G.splice(0,1)[0].trim();for(var ye=[],de=0;de=0?ye.push(we):ye.push(De)}else ye.push(De)}p.push({type:ve,name:K,params:pe,args:ye,body:[],line:U,col:0})}})}});for(var l=p.length,m=0;m=f.params.length){var T='Internal error: QUIL definition for gate "'+f.name+" is invalid.";if(e){e([{msg:T,line:s+f.line,col:f.col}]);return}else throw new Error(T)}else v[_]=f.params[q]}}else{var S=C.customGate;if((S.params||[]).length!=(f.params||[]).length){var T="Invalid number of params. Expected "+(S.params||[]).length+" got "+(f.params||[]).length+".";if(e){e([{msg:T,line:s+f.line,col:f.col}]);return}else throw new Error(T)}else for(var A=0;A=0){var P=B.indexOf("]");P>Q&&(cregBit=B.substring(Q+1,P),cregName=B.substring(0,Q),k={bit:cregBit,name:cregName})}else{var z=parseInt(B);if(isNaN(z))if(A>0)O.push(B);else{var T='Invalid argument "'+B+'"';if(e){e([{msg:T,line:s+f.line,col:f.col}]);return}else throw new Error(T)}O.push(z)}}else{var z=parseInt(B);if(isNaN(z)){var T='Invalid argument "'+B+'"';if(e){e([{msg:T,line:s+f.line,col:f.col}]);return}else throw new Error(T)}O.push(z)}}o.appendGate(C.name,O,{params:v,creg:k})}else{var T='Cannot recognize "'+f.name+'".';if(e){e([{msg:T,line:s+f.line,col:f.col}]);return}else throw new Error(T)}}}break}}e&&e([])},fe.prototype.importIonq=function(t,e){var r=this,n=t.qubits||1;if(r.init(n),!t.circuit){var a="Invalid file format.";if(e){e([{msg:a,line:-1,col:-1}]);return}else throw new Error(a)}function s(o){if(r.customGates&&r.customGates[o])return{name:o,customGate:r.customGates[o]};for(var d in r.basicGates){var c=r.basicGates[d];if(c.exportInfo&&c.exportInfo.ionq&&(c.exportInfo.ionq.name&&c.exportInfo.ionq.name==o||c.exportInfo.ionq.names&&c.exportInfo.ionq.names.indexOf(o)>=0))return{name:d,gateDef:c}}return null}t.circuit.map(function(o){var d=s(o.gate);if(!d){var c='Unknown gate "'+o.gate+'"';if(e){e([{msg:c,line:-1,col:-1}]);return}else throw new Error(c)}var p=[];typeof o.control<"u"&&p.push(o.control),typeof o.controls<"u"&&(p=p.concat(o.controls)),typeof o.target<"u"&&p.push(o.target),typeof o.targets<"u"&&(p=p.concat(o.targets));var u=[];typeof o.rotation<"u"&&u.push(o.rotation),typeof o.phase<"u"&&u.push(o.phase),typeof o.phases<"u"&&(u=u.concat(o.phases));var l=d.gateDef?d.gateDef.matrix?hi(d.gateDef.matrix.length):1:d.customGate.numQubits||1,m=d.gateDef?d.gateDef.params||[]:d.customGate.params||[];if(p.length!=l){var c='Gate "'+o.gate+'": invalid number of qubits. Expected '+l+" but got "+p.length+".";if(e){e([{msg:c,line:-1,col:-1}]);return}else throw new Error(c)}if(u.length!=m.length){var c='Gate "'+o.gate+'": invalid number of params. Expected '+m.length+" but got "+u.length+".";if(e){e([{msg:c,line:-1,col:-1}]);return}else throw new Error(c)}var f={};u.length&&(f.params={},m.map(function(y,g){f.params[y]=o.rotation?u[g]:2*Bi*u[g]})),r.appendGate(d.name,p,f)}),e&&e([])},fe.prototype.exportToIonq=function(t,e){var r=this.options&&this.options.params?this.options.params:{},r=JSON.parse(JSON.stringify(r));for(var n in r)r[n]=zr(r[n]);var a=new fe;a.load(this.save(!0));for(var s={qubits:a.numQubits,circuit:[]},o=a.numCols(),d=0;d-1}t=!0;var a=this.save(t),s=new fe,o=new fe;s.load(a),o.load(a);var d={cols:[],gates:[]},c=null,p=this.options&&this.options.params?this.options.params:{},u=new fe,l={};if(!t)for(var m=o.numCols(),f=m-1;f>=0;f--)for(var y=0;y=0;T--){var A=l[gateKey].info[T],_=A.gateInCustomCircuit;s.insertGate(_.name,A.column,_.wires,_.options)}for(var q=null,M=null,f=0;fg.wires.length||g.wires[0]>g.wires[1]?c=s.transformMatrix(P-z+1,ge,G):c=ge,c.map(function(te,oe){oe>0&&(Y+=","),Y+="{",te.map(function(ee,ae){ae>0&&(Y+=","),typeof ee!="object"?ee=Wt(ee).toString():ee=ee.toString(),Y+=ee}),Y+="}"}),Y+="}",g.connector==0){var re=d.gates.find(function(te){return te.id==U});re||d.gates.push({id:U,matrix:Y});for(var ve=!1,K=0;K1){var p=c[0]+"",u=parseInt(c[1]);this.createCreg(p,u);var l=(1<>P.offset}}}function f(k){var B=0;for(var Q in r.cregs){var P=r.cregs[Q];if(B+P.length>k)return{name:Q,bit:k-B};B+=P.length}return null}n.instructions;for(var y={},g=0;g"u"&&(r.drawHybrid=this.options?!!this.options.hybrid:!1);var n=function(ke){var I=0;for(var ce in e.cregs){if(ce==ke)return I;I++}return I},a=function(ke){return r.wireLabelWidth+(r.cellWidth+r.hSpacing)*ke+r.hSpacing},s=function(ke){return(r.cellHeight+r.vSpacing)*ke+r.vSpacing},o=this.numQubits,d=this.numCols(),c=this.cregCount(),p=d;r.drawBlochSpheres&&p++;var u=p;r.drawHybrid&&(p+=2);var l=a(p),m=a(u),f=(r.cellHeight+r.vSpacing)*(o+c+(r.drawHybrid?1:0))+r.vSpacing;(r.cellHeight+r.vSpacing)*(o+c)+r.vSpacing;var y=(r.cellHeight+r.vSpacing)*(o+c)+(r.vSpacing+r.cellHeight/2);function g(ke,I,ce,be){var Ae=(be-90)*Math.PI/180;return{x:ke+ce*Math.cos(Ae),y:I+ce*Math.sin(Ae)}}function N(ke,I,ce,be,Ae){var Be=g(ke,I,ce,Ae),Ue=g(ke,I,ce,be),Je="0",pt=["M",Be.x,Be.y,"A",ce,ce,0,Je,0,Ue.x,Ue.y].join(" ");return pt}var D=function(ke){return(r.cellHeight+r.vSpacing)*ke+(r.vSpacing+r.cellHeight/2)},C=function(ke){return(r.cellHeight+r.vSpacing)*ke+r.vSpacing},v=function(ke){return(r.cellHeight+r.vSpacing)*(o+n(ke))+(r.vSpacing+r.cellHeight/2)};function S(ke,I,ce,be,Ae){var Be=r.cellWidth,Ue=r.cellHeight,Je="";return Je+='',be&&(Je+=''+be+""),Je}function b(ke,I,ce,be,Ae){var Be=r.cellWidth*2,Ue=r.cellHeight,Je="";return Je+='',be&&(Je+=''+be+""),Je}function T(ke,I,ce,be,Ae){var Be=ke+r.cellWidth/2,Ue=I+r.cellHeight/2,Je=r.cellWidth*.8,pt=r.cellHeight*.8,ct=ke+(r.cellWidth-Je)/2,wr=I+(r.cellHeight-pt)/2,Ur="";return Ur+='',be&&(Ur+=''+be+""),Ur}function A(ke,I,ce,be){var Ae=ke+r.cellWidth/2,Be=I+r.cellHeight/2,Ue=r.cellWidth*.8,Je=r.cellHeight*.8,pt=ke+(r.cellWidth-Ue)/2,ct=I+(r.cellHeight-Je)/2,wr="";return wr+='',wr+='',wr+='',wr}function _(ke,I,ce,be){var Ae=r.cellWidth,Be=r.cellHeight,Ue=ke+Ae/2,Je=I+Be/2,pt=Be/5,ct="";return ct+='',ct+='',ct+='',ct}function q(ke,I,ce,be){var Ae=r.cellWidth*.4,Be=r.cellHeight*.4,Ue=ke+(r.cellWidth-Ae)/2,Je=I+(r.cellHeight-Be)/2,pt="";return pt+='',pt+='',pt}function M(ke,I,ce,be){var Ae=r.cellWidth,Be=r.cellHeight,Ue=ke+Ae/2,Je=I+Be/2,pt="";return pt+='',pt}function O(ke,I,ce,be){var Ae=r.cellWidth,Be=r.cellHeight,Ue=ke+Ae/2,Je=I+Be/2,pt="";return pt+='',pt}function k(ke,I,ce,be,Ae,Be,Ue){var Je="";switch(Ae!="box"&&Be&&(Je+=S(ke,I,ce,"",Ue)),Ae){case"box":Je+=S(ke,I,ce,be,Ue);break;case"rect":Je+=b(ke,I,ce,be);break;case"circle":Je+=T(ke,I,ce,be,Ue);break;case"not":Je+=A(ke,I,ce,Ue);break;case"x":Je+=q(ke,I,ce,Ue);break;case"dot":Je+=M(ke,I,ce,Ue);break;case"ndot":Je+=O(ke,I,ce,Ue);break;case"gauge":Je+=_(ke,I,ce,Ue);break}return Je}function B(ke,I,ce){var be=e.basicGates[ke.name]?e.basicGates[ke.name].drawingInfo:null;be||(be=e.customGates[ke.name]?e.customGates[ke.name].drawingInfo:null);var Ae=!1,Be=r&&r.selection&&r.selection.indexOf(ke.id)>=0;for(be||(ke.wires.length==1?be={connectors:["box"]}:(be={connectors:[]},Ae=!0));be.connectors.length',Ae){var wr=a(I)-r.blackboxPaddingX,Ur=C(Ue)-r.blackboxPaddingY,Nn=r.cellWidth+2*r.blackboxPaddingX,qr=C(Je)+r.cellHeight-Ur+r.blackboxPaddingY,Sa=wr+Nn/2;pt=Ur+qr,ct+=''+(be.label||ke.name)+"",ct+=''}if(Be){var wr=a(I)-r.selectionPaddingX,Ur=C(Ue)-r.selectionPaddingY,Nn=r.cellWidth+2*r.selectionPaddingX,qr=C(Je)+r.cellHeight-Ur+r.selectionPaddingY,Sa=wr+Nn/2;pt=Ur+qr,ct+=''}if(Ue!=Je&&!Ae){var pr=a(I)+r.cellWidth/2,Fr=s(Ue)+r.cellHeight/2,Nr=s(Je)+r.cellHeight/2;ct+=''}var Yt=Math.max.apply(null,ke.wires);if(ke.wires.map(function(dr,$i){switch(be.connectors[$i]){case"box":{var Xt=a(I),sr=s(dr);ct=ct+S(Xt,sr,ke.name,Ae?Mr($i,o):be.label||ke.name,Be),!Ae&&dr==Je&&(pt=sr+r.cellHeight)}break;case"circle":{var Xt=a(I),sr=s(dr);if(ct=ct+T(Xt,sr,ke.name,Ae?Mr($i,o):be.label||ke.name,Be),!Ae&&dr==Je){var Sr=r.cellHeight*.8;pt=sr+Sr+(r.cellHeight-Sr)/2}}break;case"not":{var Sn=a(I),er=s(dr);if(ct=ct+A(Sn,er,ke.name,Be),!Ae&&dr==Je){var Sr=r.cellHeight*.8;pt=er+Sr+(r.cellHeight-Sr)/2}}break;case"x":{var Sn=a(I),er=s(dr);ct=ct+q(Sn,er,ke.name,Be),!Ae&&dr==Je&&(pt=D(Je))}break;case"dot":{var Sn=a(I),er=s(dr);ct=ct+M(Sn,er,ke.name,Be),!Ae&&dr==Je&&(pt=D(Je)+r.dotRadius)}break;case"ndot":{var Sn=a(I),er=s(dr);ct=ct+O(Sn,er,ke.name,Be),!Ae&&dr==Je&&(pt=D(Je)+r.dotRadius)}break;case"gauge":{var Xt=a(I),sr=s(dr);ct=ct+_(Xt,sr,ke.name,Be),!Ae&&dr==Je&&(pt=sr+r.cellHeight)}break}if(ke.options&&ke.options.params&&dr==Yt){var Xt=a(I),sr=s(dr),ii=Xt+r.cellWidth/2,$r="",Zi=0;for(var bs in ke.options.params){$r&&($r+=", ");var kt=ke.options.params[bs];typeof kt=="string"&&kt.match(/^[\+\-]?\d*\.?\d+(?:[Ee][\+\-]?\d+)?$/)&&(kt=parseFloat(kt)),typeof kt=="number"&&(kt=Lt(kt,3)),$r+=kt,Zi++}$r.length>26&&($r="("+Zi+" params)"),ct+=''+$r+""}}),ke.name=="measure"&&ke.options&&ke.options.creg&&ke.options.creg.name){var pr=a(I)+r.cellWidth/2,Fr=pt,Nr=v(ke.options.creg.name);ct+='',ct+='',ct+='',ct+=''+ke.options.creg.bit+""}if(ke.options&&ke.options.condition&&ke.options.condition.creg){var pr=a(I)+r.cellWidth/2,Fr=pt,Nr=v(ke.options.condition.creg);ct+='',ct+='',ct+='== '+ke.options.condition.value+""}return ct+="",ct}function Q(ke,I){var ce="",be=r.cellWidth+r.hSpacing,Ae=r.cellHeight+r.vSpacing,Be=a(ke)-r.hSpacing,Ue=s(I)-r.vSpacing;return I==o&&(Ae=r.vSpacing),ke==d&&(be=r.hSpacing),ce+='',ce}function P(ke,I,ce){var be="",Ae=r.cellWidth,Be=r.cellHeight,Ue=a(I),Je=s(ce);return be+='',be}function z(ke,I,ce,be){var Ae="",Be=r.cellWidth,Ue=r.cellHeight,Je=a(ke),pt=s(I);return Ae+='',Ae+='',Ae+='',Ae+='
',Ae+='',Ae+="",Ae+="
",Ae+="",Ae+="",Ae}function R(ke){return ke.replace(/&/g,"&").replace(//g,">").replace(/"/g,""").replace(/'/g,"'")}if(r.gateGallery||r.gateGalleryRaw||r.customGateGallery){var U=[];if(r.gateGallery||r.gateGalleryRaw){var L=[];for(var Y in this.basicGates){var ge=this.basicGates[Y],V=JSON.parse(JSON.stringify(ge.drawingInfo||{connectors:["box"]}));if(V.connectors){var G=V.label||Y,re=V.connectors?V.connectors[V.connectors.length-1]:"box";r.gateGallery&&(re=="x"||re=="dot")&&(re="box");var ve=G+"|"+re;if(L.indexOf(ve)<0&&Y!="ccx"){L.push(ve);var K="";r.embedded||(K+='',K+=''),K+='',K=K+k(0,0,Y,G,re,!!r.gateGallery,!1),K+="",r.gateGallery?U.push(K):U.push({name:Y,svg:K})}}}var pe="";r.embedded||(pe+='',pe+=''),pe+='',pe=pe+k(0,0,"dot","dot","dot",!!r.gateGallery,!1),pe+="",r.gateGallery?U.push(pe):U.push({name:"dot",svg:pe});var he="";r.embedded||(he+='',he+=''),he+='',he=he+k(0,0,"ndot","ndot","ndot",!!r.gateGallery,!1),he+="",r.gateGallery?U.push(he):U.push({name:"dot",svg:he})}if(r.customGateGallery)for(var Y in this.customGates){var K="";r.embedded||(K+='',K+=''),K+='',K=K+k(0,0,Y,Y,"rect",!1,!1),K+="",U.push(K)}return U}else{var K="";if(r.embedded||(K+='',K+=''),K+='',r.placeholders)for(var ie=0;ie<=d;ie++)for(var ye=0;ye<=this.numQubits;ye++)K+=Q(ie,ye);for(var ye=0;ye|'+De+"⟩",K+='',K+='q'+ye+""}for(var we in this.cregs){var de=v(we);K+='0',K+='',K+=''+we+""}for(var ie=0;ie',K+='Cost';var Me=a(J+1)+r.blackboxPaddingX,H=Me+ee/2;K+='',K+='',K+='',K+='Optimizer';var X=H,xe=cLinkTopY,Ne=y;K+='';var Ee=0,Ce=this.findGlobalParams();if(Ce.globalParams.length){Ee=a(Ce.cells[0][0])+r.cellWidth+r.hSpacing/2;for(var Fe=0;Fe',K+=''}var de=y;K+=''}else{Ee=a(u+1);var de=y;K+='',K+='(no global params)'}}K+=""}return K},fe.prototype.exportToQiskit=function(t,e,r,n){t=t||{};var a=t.comment,s=t.decompose,o=t.versionStr,d=t.providerName,c=t.backendName,p=t.asJupyter,u=t.shots,l=t.hybrid;typeof l>"u"&&(l=this.options?!!this.options.hybrid:!1);var m=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"",f=this;d=d||"Aer",c=c||"",d=="Aer"&&(c||(l&&m.indexOf("state")>=0?c="statevector_simulator":c="qasm_simulator"),c=="aer_simulator"&&(c="qasm_simulator"),c=="aer_simulator_statevector"&&(c="statevector_simulator")),d=="IONQ"&&(c||(c="ionq_simulator")),u=u||1024;var y=new fe;y.load(this.save(s));var g="";if(a){var N=(a||"").split(` +`);N.map(function(oe){oe.length>=1&&oe[0]!="#"&&(g+="# "),g+=oe,g+=` +`})}var D=function(oe,ee){if(oe.isSymbolNode){var ae=["pi","sin","cos","tan","asin","acos","atan"];if(ae.indexOf(oe.name)>=0)return"np."+oe.name;var me=oe.name;if(ee.replaceVars&&typeof ee.replaceVars[me]<"u")return me=ee.replaceVars[me],f.params.indexOf(me)>=0&&l?"params["+f.params.indexOf(me)+"]":me;if(f.params.indexOf(oe.name)>=0&&l)return"params["+f.params.indexOf(oe.name)+"]"}},C=function(oe,ee){var ae="",me=oe.split(` +`),Se=-1;me.map(function(X){var xe=X.search(/\S/);xe>=0&&(Se<0||xe=0&&c!="statevector_simulator"&&(g+=`from qiskit_experiments.library import StateTomography +`);break;case"IBMQ":g+="from qiskit import execute, "+d+` from qiskit.providers.ibmq import least_busy -`,h&&c.indexOf("state")>=0&&(u+=`from qiskit_experiments.library import StateTomography -`);break;case"IONQ":P=!0,u+=`from qiskit_ionq import IonQProvider -`,h&&c.indexOf("state")>=0&&(u+=`from qiskit_experiments.library import StateTomography -`);break}(C.indexOf("ms")>=0||C.indexOf("gpi")>=0||C.indexOf("gpi2")>=0)&&(P=!0,u+=`from qiskit_ionq import GPIGate, GPI2Gate, MSGate -`),P&&(u+=`from qiskit import transpile -`),h&&(u+=`from scipy.optimize import minimize -`,u+=`from collections import Counter -`),u+=`import numpy as np -`,u+=` -`;var x="";switch(l){case"Aer":u+=x+"backend = Aer.get_backend('"+p+`') -`,u+=` -`;break;case"IBMQ":u+=x+`IBMQ.load_account() -`,u+=x+`provider = IBMQ.get_provider(hub="ibm-q", group="open", project="main") -`,p?u+=x+'backend = provider.get_backend("'+p+`") -`:(u+=x+`backends = provider.backends() -`,u+=x+`backend = least_busy(backends) -`),u+=` -`;break;case"IONQ":{var A=["measure","delay","barrier","reset","snapshot","ms","gpi2","gpi"];y=!0,C.map(function(K){A.indexOf(K)<0&&(y=!1)}),u+=x+`# Requires QISKIT_IONQ_API_TOKEN environment variable to be set -`,u+=x+`provider = IonQProvider() -`,u+=x+'backend = provider.get_backend("'+p+'"',y&&(u+=', gateset="native"'),u+=`) - -`}break}f&&(u+="shots = "+f+` -`,u+=` -`);var b=this.options&&this.options.params?this.options.params:{};if(this.params.length){for(var O=0;O-1&&(K.params[Gt]=G.options.params[Gt])})}pt.addGate(K.name,F,G.wires,{params:K.params,condition:ot});var bt={comment:"",decompose:!1,versionStr:!1,providerName:!1,backendName:!1,asJupyter:!1,shots:!1,hybrid:null};u+=S(pt.exportToQiskit(bt,!1,!0,!!e||n),x)})):U.exportInfo.qiskit&&U.exportInfo.qiskit.equivalent&&(B=U.exportInfo.qiskit.equivalent,B.map(function(K){var pt=new g,qt=K.wires.length>1?G.wires:G.wires[K.wires[0]],dt={};if(K.params){var bt={};if(G.options&&G.options.params)for(var Gt in G.options.params){var xt=v.parse(G.options.params[Gt]),kt=xt.toString({handler:_});bt[Gt]=kt}for(var Qt in K.params){var xt=v.parse(K.params[Qt]),kt=xt.toString({handler:_,replaceVars:bt});dt[Qt]=kt}}pt.addGate(K.name,F,qt,{params:dt,condition:ot});var Ut={comment:"",decompose:!1,versionStr:!1,providerName:!1,backendName:!1,asJupyter:!1,shots:!1,hybrid:null};u+=S(pt.exportToQiskit(Ut,!1,!0,!!e||n),x)}))),!Z&&!B&&(e||n||h)&&(u+=" "),!Z&&!B){var E=G.name,T=G.options&&G.options.params?G.options.params:{};p=="statevector_simulator"&&E=="measure"&&h&&(u+="# "),this.basicGates[E]&&(u+="qc."),U&&U.exportInfo&&U.exportInfo.qiskit&&U.exportInfo.qiskit.name?E=U.exportInfo.qiskit.name:E=G.name;var tt=!1,I=!1;E=="ms"&&(tt=!0,I=!0,E="MSGate"),E=="gpi"&&y&&(tt=!0,I=!0,E="GPIGate"),E=="gpi2"&&y&&(tt=!0,I=!0,E="GPI2Gate"),tt&&(u+="append("),u+=E+"(";var X=0;if(T){var U=this.basicGates[G.name];if(U||(U=this.customGates[G.name],u+="qc",X++),U){var z=U.params||[],J=z.length;if(J){for(var rt=0;rt0&&(u+=", ");var Y=z[rt];if(T[Y]||T[Y].toString()){var k=v.parse(T[Y]),et=k.toString({handler:_});I&&(et="("+et+") / (2*np.pi)"),u+=et}X++}E=="cu"&&!T.gamma&&(u+=", 0",X++)}}}if(tt){X&&(u+="), "),u+="[";for(var D=0;D0&&(u+=", "),e||n?u+=St(G.wires[D],q.numQubits):u+=G.wires[D],X++;u+="]"}else for(var D=0;D0&&(u+=", "),e||n?u+=St(G.wires[D],q.numQubits):u+="q["+G.wires[D]+"]",X++;E=="measure"&&G.options&&G.options.creg&&(X>0&&(u+=", "),u+=G.options.creg.name+"["+G.options.creg.bit+"]",X++),u+=")",G.options&&G.options.condition&&G.options.condition.creg&&(u+=".c_if("+G.options.condition.creg+", "+G.options.condition.value+")"),u+=` -`}}}if(!t){if(e)u+=` -`;else{u+=` -`,P&&(u+=x+`qc = transpile(qc, backend) -`);var x="";if(h&&(x=" "),l=="Aer"){var H="";H+=x+"job = execute(qc, backend=backend",f&&(H+=", shots=shots"),H+=`) -`,H+=x+`job_result = job.result() -`,h?(p=="statevector_simulator"?(u+=H,u+=x+`state = job_result.get_statevector(qc).data -`,u+=` -`):c.indexOf("state")>=0?(u+=x+`qst = StateTomography(qc) -`,u+=x+`qst_analysis = qst.run(backend).block_for_results() -`,u+=x+`density = qst_analysis.analysis_results("state").value -`,u+=x+`state = np.diag(density) -`):(u+=H,u+=x+`counts = Counter(job_result.get_counts(qc)) -`,u+=` -`),c.trim()||(c=`# CALCULATE COST HERE -cost = 0`),u+=S(c,x),u+=` -`,u+=x+`return cost -`):(u+=H,u+=x+`print(job_result.get_counts(qc)) -`)}if(l=="IBMQ"){var H="";H+=x+"job = execute(qc, backend=backend",f&&(H+=", shots=shots"),H+=`) -`,H+=x+`job_result = job.result() -`,h?(c.indexOf("state")>=0?(u+=x+`qst = StateTomography(qc) -`,u+=x+`qst_analysis = qst.run(backend).block_for_results() -`,u+=x+`density = qst_analysis.analysis_results("state").value -`,u+=x+`state = np.diag(density) -`,u+=` -`):(u+=H,u+=x+`counts = Counter(job_result.get_counts(qc)) -`,u+=` -`),c.trim()||(c=`# CALCULATE COST HERE -cost = 0`),u+=S(c,x),u+=` -`,u+=x+`return cost -`):(u+=H,u+=x+`print(job_result.get_counts(qc)) -`)}if(l=="IONQ"){var H="";H+=x+"job = backend.run(qc",f&&(H+=", shots=shots"),H+=`) -`,H+=x+`job_result = job.result() -`,h?(c.indexOf("state")>=0?(u+=x+`qst = StateTomography(qc) -`,u+=x+`qst_analysis = qst.run(backend).block_for_results() -`,u+=x+`density = qst_analysis.analysis_results("state").value -`,u+=x+`state = np.diag(density) -`):(u+=H,u+=x+`counts = Counter(job.get_counts()) -`,u+=` -`),c.trim()||(c=`# CALCULATE COST HERE -cost = 0`),u+=S(c,x),u+=` -`,u+=x+`return cost -`):(u+=H,u+=x+`print(job.get_counts()) -`)}if(h){var ut="";this.params.map(function(pt,qt){qt>0&&(ut+=", "),ut+=pt}),u+=` -`,u+="params = np.array(["+ut+`]) -`,u+=` -`,u+='minimum = minimize(objective_function, params, method="'+(this.options&&this.options.hybridOptions&&this.options.hybridOptions.optimizer?this.options.hybridOptions.optimizer:"Powell")+`", tol=tolerance) -`,u+=`print("cost:", minimum.fun, "params:", minimum.x) -`}}if(d){var mt={metadata:{kernelspec:{display_name:"Python 3",language:"python",name:"python3"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:u,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(mt)}}return u},g.prototype.exportToQuEST=function(a,e,t){a=a||{};var n=a.comment,s=a.decompose,r=this;t=t||[];var l=null,o=["unitary","controlledUnitary"],l=new g;l.load(this.save(s));var p="";if(n){var d=(n||"").split(` -`);d.map(function(N){N.length>=2&&N[0]!="/"&&N[1]!="/"&&(p+="// "),p+=N,p+=` -`})}for(var f=0;f +`,l&&m.indexOf("state")>=0&&(g+=`from qiskit_experiments.library import StateTomography +`);break;case"IONQ":T=!0,g+=`from qiskit_ionq import IonQProvider +`,l&&m.indexOf("state")>=0&&(g+=`from qiskit_experiments.library import StateTomography +`);break}(b.indexOf("ms")>=0||b.indexOf("gpi")>=0||b.indexOf("gpi2")>=0)&&(T=!0,g+=`from qiskit_ionq import GPIGate, GPI2Gate, MSGate +`),T&&(g+=`from qiskit import transpile +`),l&&(g+=`from scipy.optimize import minimize +`,g+=`from collections import Counter +`),g+=`import numpy as np +`,g+=` +`;var _="";switch(d){case"Aer":g+=_+"backend = Aer.get_backend('"+c+`') +`,g+=` +`;break;case"IBMQ":g+=_+`IBMQ.load_account() +`,g+=_+`provider = IBMQ.get_provider(hub="ibm-q", group="open", project="main") +`,c?g+=_+'backend = provider.get_backend("'+c+`") +`:(g+=_+`backends = provider.backends() +`,g+=_+`backend = least_busy(backends) +`),g+=` +`;break;case"IONQ":{var q=["measure","delay","barrier","reset","snapshot","ms","gpi2","gpi"];A=!0,b.map(function(oe){q.indexOf(oe)<0&&(A=!1)}),g+=_+`# Requires QISKIT_IONQ_API_TOKEN environment variable to be set +`,g+=_+`provider = IonQProvider() +`,g+=_+'backend = provider.get_backend("'+c+'"',A&&(g+=', gateset="native"'),g+=`) + +`}break}u&&(g+="shots = "+u+` +`,g+=` +`);var M=this.options&&this.options.params?this.options.params:{};if(this.params.length){for(var S=0;S-1&&(oe.params[Me]=U.options.params[Me])})}ee.addGate(oe.name,z,U.wires,{params:oe.params,condition:ge});var Se={comment:"",decompose:!1,versionStr:!1,providerName:!1,backendName:!1,asJupyter:!1,shots:!1,hybrid:null};g+=C(ee.exportToQiskit(Se,!1,!0,!!e||n),_)})):V.exportInfo.qiskit&&V.exportInfo.qiskit.equivalent&&(Y=V.exportInfo.qiskit.equivalent,Y.map(function(oe){var ee=new fe,ae=oe.wires.length>1?U.wires:U.wires[oe.wires[0]],me={};if(oe.params){var Se={};if(U.options&&U.options.params)for(var Me in U.options.params){var H=Ct(U.options.params[Me]),X=H.toString({handler:D});Se[Me]=X}for(var xe in oe.params){var H=Ct(oe.params[xe]),X=H.toString({handler:D,replaceVars:Se});me[xe]=X}}ee.addGate(oe.name,z,ae,{params:me,condition:ge});var Ne={comment:"",decompose:!1,versionStr:!1,providerName:!1,backendName:!1,asJupyter:!1,shots:!1,hybrid:null};g+=C(ee.exportToQiskit(Ne,!1,!0,!!e||n),_)}))),!L&&!Y&&(e||n||l)&&(g+=" "),!L&&!Y){var G=U.name,re=U.options&&U.options.params?U.options.params:{};c=="statevector_simulator"&&G=="measure"&&l&&(g+="# "),this.basicGates[G]&&(g+="qc."),V&&V.exportInfo&&V.exportInfo.qiskit&&V.exportInfo.qiskit.name?G=V.exportInfo.qiskit.name:G=U.name;var ve=!1,K=!1;G=="ms"&&(ve=!0,K=!0,G="MSGate"),G=="gpi"&&A&&(ve=!0,K=!0,G="GPIGate"),G=="gpi2"&&A&&(ve=!0,K=!0,G="GPI2Gate"),ve&&(g+="append("),g+=G+"(";var pe=0;if(re){var V=this.basicGates[U.name];if(V||(V=this.customGates[U.name],g+="qc",pe++),V){var he=V.params||[],ie=he.length;if(ie){for(var ye=0;ye0&&(g+=", ");var de=he[ye];if(re[de]||re[de].toString()){var k=Ct(re[de]),De=k.toString({handler:D});K&&(De="("+De+") / (2*np.pi)"),g+=De}pe++}G=="cu"&&!re.gamma&&(g+=", 0",pe++)}}}if(ve){pe&&(g+="), "),g+="[";for(var we=0;we0&&(g+=", "),e||n?g+=Mr(U.wires[we],y.numQubits):g+=U.wires[we],pe++;g+="]"}else for(var we=0;we0&&(g+=", "),e||n?g+=Mr(U.wires[we],y.numQubits):g+="q["+U.wires[we]+"]",pe++;G=="measure"&&U.options&&U.options.creg&&(pe>0&&(g+=", "),g+=U.options.creg.name+"["+U.options.creg.bit+"]",pe++),g+=")",U.options&&U.options.condition&&U.options.condition.creg&&(g+=".c_if("+U.options.condition.creg+", "+U.options.condition.value+")"),g+=` +`}}}if(!r){if(e)g+=` +`;else{g+=` +`,T&&(g+=_+`qc = transpile(qc, backend) +`);var _="";if(l&&(_=" "),d=="Aer"){var _e="";_e+=_+"job = execute(qc, backend=backend",u&&(_e+=", shots=shots"),_e+=`) +`,_e+=_+`job_result = job.result() +`,l?(c=="statevector_simulator"?(g+=_e,g+=_+`state = job_result.get_statevector(qc).data +`,g+=` +`):m.indexOf("state")>=0?(g+=_+`qst = StateTomography(qc) +`,g+=_+`qst_analysis = qst.run(backend).block_for_results() +`,g+=_+`density = qst_analysis.analysis_results("state").value +`,g+=_+`state = np.diag(density) +`):(g+=_e,g+=_+`counts = Counter(job_result.get_counts(qc)) +`,g+=` +`),m.trim()||(m=`# CALCULATE COST HERE +cost = 0`),g+=C(m,_),g+=` +`,g+=_+`return cost +`):(g+=_e,g+=_+`print(job_result.get_counts(qc)) +`)}if(d=="IBMQ"){var _e="";_e+=_+"job = execute(qc, backend=backend",u&&(_e+=", shots=shots"),_e+=`) +`,_e+=_+`job_result = job.result() +`,l?(m.indexOf("state")>=0?(g+=_+`qst = StateTomography(qc) +`,g+=_+`qst_analysis = qst.run(backend).block_for_results() +`,g+=_+`density = qst_analysis.analysis_results("state").value +`,g+=_+`state = np.diag(density) +`,g+=` +`):(g+=_e,g+=_+`counts = Counter(job_result.get_counts(qc)) +`,g+=` +`),m.trim()||(m=`# CALCULATE COST HERE +cost = 0`),g+=C(m,_),g+=` +`,g+=_+`return cost +`):(g+=_e,g+=_+`print(job_result.get_counts(qc)) +`)}if(d=="IONQ"){var _e="";_e+=_+"job = backend.run(qc",u&&(_e+=", shots=shots"),_e+=`) +`,_e+=_+`job_result = job.result() +`,l?(m.indexOf("state")>=0?(g+=_+`qst = StateTomography(qc) +`,g+=_+`qst_analysis = qst.run(backend).block_for_results() +`,g+=_+`density = qst_analysis.analysis_results("state").value +`,g+=_+`state = np.diag(density) +`):(g+=_e,g+=_+`counts = Counter(job.get_counts()) +`,g+=` +`),m.trim()||(m=`# CALCULATE COST HERE +cost = 0`),g+=C(m,_),g+=` +`,g+=_+`return cost +`):(g+=_e,g+=_+`print(job.get_counts()) +`)}if(l){var J="";this.params.map(function(ee,ae){ae>0&&(J+=", "),J+=ee}),g+=` +`,g+="params = np.array(["+J+`]) +`,g+=` +`,g+='minimum = minimize(objective_function, params, method="'+(this.options&&this.options.hybridOptions&&this.options.hybridOptions.optimizer?this.options.hybridOptions.optimizer:"Powell")+`", tol=tolerance) +`,g+=`print("cost:", minimum.fun, "params:", minimum.x) +`}}if(p){var te={metadata:{kernelspec:{display_name:"Python 3",language:"python",name:"python3"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:g,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(te)}}return g},fe.prototype.exportToQuEST=function(t,e,r){t=t||{};var n=t.comment,a=t.decompose,s=this;r=r||[];var d=null,o=["unitary","controlledUnitary"],d=new fe;d.load(this.save(a));var c="";if(n){var p=(n||"").split(` +`);p.map(function(B){B.length>=2&&B[0]!="/"&&B[1]!="/"&&(c+="// "),c+=B,c+=` +`})}for(var u=0;u #include "QuEST.h" -`,p+=`#ifndef M_PI +`,c+=`#ifndef M_PI #define M_PI 3.14159265 #endif -`;var u=[],Q=l.usedGates();s||Q.map(function(N){var W=l.basicGates[N];if(!W){var R=r.customGates[N];if(R){var F=new g;F.load(R);var V={comment:"",decompose:!1};u.push(F.exportToQuEST(V,N,t))}}});for(var f=0;f=0?"("+p[B]+")":"("+B+")"}if(!o&&l.params.indexOf(G.name)>=0)return p[G.name]}},f=null,f=new g;f.load(this.save(r));var h="";if(s){var c=(s||"").split(` -`);c.map(function(G){G.length>=2&&G[0]!="/"&&G[1]!="/"&&(h+="// "),h+=G,h+=` -`})}if(e){if(h+="gate "+e,f.params&&f.params.length){h+="(";for(var m=0;m0&&(h+=", "),h+=f.params[m];h+=")"}for(var q=0;q0&&(h+=", "),h+=St(q,f.numQubits);h+=` +`),c},fe.prototype.exportToQASM=function(t,e,r,n){t=t||{};var a=t.comment,s=t.decompose,o=t.compatibilityMode,d=this,c=this.options&&this.options.params?this.options.params:{},p=function(U,L){if(U.isSymbolNode){var Y=U.name;if(L.replaceVars&&typeof L.replaceVars[Y]<"u"){var Y=L.replaceVars[Y];return!o&&d.params.indexOf(Y)>=0?"("+c[Y]+")":"("+Y+")"}if(!o&&d.params.indexOf(U.name)>=0)return c[U.name]}},u=null,u=new fe;u.load(this.save(s));var l="";if(a){var m=(a||"").split(` +`);m.map(function(U){U.length>=2&&U[0]!="/"&&U[1]!="/"&&(l+="// "),l+=U,l+=` +`})}if(e){if(l+="gate "+e,u.params&&u.params.length){l+="(";for(var f=0;f0&&(l+=", "),l+=u.params[f];l+=")"}for(var y=0;y0&&(l+=", "),l+=Mr(y,u.numQubits);l+=` { -`}else if(!t){h+=`OPENQASM 2.0; -`,h+=`include "qelib1.inc"; -`,h+="qreg q["+f.numQubits+`]; -`;for(var u in f.cregs)h+="creg "+u+"["+(f.cregs[u].length||1)+`]; -`;var Q=f.usedGates();r||Q.map(function(G){var Z=f.basicGates[G];if(!Z){var B=l.customGates[G];if(B){var ot=new g;ot.load(B);var U={comment:"",decompose:!1,compatibilityMode:o};h+=ot.exportToQASM(U,G,!1,!1)}}})}for(var _=f.numCols(),S=0;S<_;S++)for(var j=0;j=0&&(G.params[T]=O.options.params[T])})}var U=O.options&&O.options.condition?O.options.condition:{};Z.addGate(G.name,S,O.wires,{params:G.params,condition:U});var E={comment:"",decompose:!1,compatibilityMode:o};h+=Z.exportToQASM(E,!1,!0,!!e||n)})):x.exportInfo.qasm&&x.exportInfo.qasm.equivalent&&(P=x.exportInfo.qasm.equivalent,P.map(function(G){var Z=new g;Z.cregs=JSON.parse(JSON.stringify(l.cregs));var B=G.wires.length>1?O.wires:O.wires[G.wires[0]],ot={};if(G.params){var U={};if(O.options&&O.options.params)for(var E in O.options.params){var T=v.parse(O.options.params[E]),tt=T.toString({handler:d});U[E]=tt}for(var I in G.params){var T=v.parse(G.params[I]),tt=T.toString({handler:d,replaceVars:U});ot[I]=tt}}var X=O.options&&O.options.condition?O.options.condition:{};Z.addGate(G.name,S,B,{params:ot,condition:X});var z={comment:"",decompose:!1,compatibilityMode:o};h+=Z.exportToQASM(z,"",!0,!!e||n)})))}if(!C&&!P&&((e||n)&&(h+=" "),O.options&&O.options.condition&&O.options.condition.creg&&(h+="if("+O.options.condition.creg+"=="+O.options.condition.value+") ")),!C&&!P||o){var A=O.name,b=O.options&&O.options.params?O.options.params:{};if(h+=o?O.name:y,b){var x=f.basicGates[A];if(x||(x=f.customGates[A]),x){var L=x.params||[],k=L.length;if(k){h+=" (";for(var N=0;N0&&(h+=", ");var W=L[N],R=b[W];if(!e&&!n&&!o){var F=v.parse(b[W]);R=F.toString({handler:d})}h+=R}h+=")"}}}for(var V=0;V0&&(h+=","),e||n?h+=" "+St(O.wires[V],f.numQubits):h+=" q["+O.wires[V]+"]";A=="measure"&&O.options&&O.options.creg&&(h+=" -> ",h+=O.options.creg.name+"["+O.options.creg.bit+"]"),h+=`; -`}}}return e&&(h+=`} - -`),h},g.prototype.exportToPyquil=function(a,e){a=a||{};var t=a.comment,n=a.decompose,s=a.versionStr,r=a.lattice,o=a.asQVM,l=a.asJupyter,p=a.shots,d=a.hybrid,f=this,h=parseFloat(s||"2.12");isNaN(h)&&(h=2.1),p||(p=1024),typeof d>"u"&&(d=this.options?!!this.options.hybrid:!1);var c=new g;c.load(this.save(n));var m=function(wt,vt){if(wt.isSymbolNode){var ct=["pi","sin","cos","tan","asin","acos","atan"];if(ct.indexOf(wt.name)>=0)return"np."+wt.name;if(f.params.indexOf(wt.name)>=0&&d)return"params["+f.params.indexOf(wt.name)+"]"}},q=function(wt,vt){var ct="",Ct=wt.split(` -`),yt=-1;Ct.map(function(Rt){var Et=Rt.search(/\S/);Et>=0&&(yt<0||Et0&&(Ct+=", "),Ct+="p_"+Pt;var Et="p_"+Pt+" = Parameter('"+Pt+"')";Q.indexOf(Et)<0&&Q.push(Et)}),Ct+="]"),S+="p.inst("+ct.name+`_defgate) -`,j+=ct.name+"_array = np.array("+ct.array+`) -`,_+=ct.name+"_defgate = DefGate('"+ct.name+"', "+ct.name+"_array"+Ct+`) -`,_+=ct.name+" = "+ct.name+`_defgate.get_constructor() -`,P.push(ct.name)}else{var yt="";if(ct.replacement){var _t=c.basicGates[ct.replacement.name];_t&&_t.exportInfo&&(_t.exportInfo.pyquil?yt=_t.exportInfo.pyquil.name:_t.exportInfo.quil&&(yt=_t.exportInfo.quil.name))}else yt=ct.name;yt&&(u&&(u+=", "),u+=yt)}}else if(vt.exportInfo&&vt.exportInfo.quil){var ct=vt.exportInfo.quil;if(!ct.defgate){var yt="";if(ct.replacement){var _t=c.basicGates[ct.replacement.name];_t&&_t.exportInfo&&(_t.exportInfo.pyquil?yt=_t.exportInfo.pyquil.name:_t.exportInfo.quil&&(yt=_t.exportInfo.quil.name))}else yt=ct.name;yt&&(u&&(u+=", "),u+=yt)}}}});var x=c.gotClassicalControl();x&&(u&&(u+=", "),h<2?u+="FALSE, NOT, OR, AND":u+="MOVE, NOT, IOR, AND");var A="";_&&(h<2.12?A=`from pyquil.parameters import Parameter, quil_sin, quil_cos, quil_sqrt, quil_exp, quil_cis -from pyquil.quilbase import DefGate`:A=`from pyquil.quilatom import Parameter, quil_sin, quil_cos, quil_sqrt, quil_exp, quil_cis -from pyquil.quilbase import DefGate`);var b="";if(t){var L=(t||"").split(` -`);L.map(function(wt){wt.length>=1&&wt[0]!="#"&&(b+="# "),b+=wt,b+=` -`})}var k="";if(e){for(var N="",W=0,R=0;R0&&(N+=", "),N+=c.params[R],W++;for(var R=0;R0&&(N+=", "),N+="q"+R,W++;b+="def "+e+(N?"("+N+")":"")+`: -`,k=" "}else{h<2?(b+=`from pyquil.api import QVMConnection -`,b+=`from pyquil.quil import Program -`):b+=`from pyquil import Program, get_qc -`,u&&(b+="from pyquil.gates import "+u+` -`),A&&(b+=A+` -`),b+=`from functools import reduce -`,d&&(b+=`from scipy.optimize import minimize -`,b+=`from collections import Counter -`),b+=`import numpy as np -`,p&&(b+=` -`,b+="shots = "+p+` -`);var F=this.options&&this.options.params?this.options.params:{};if(this.params.length){b+=` -`;for(var R=0;R=2&&!e){o||r?b+=k+`p = Program('PRAGMA INITIAL_REWIRING "PARTIAL"') - -`:b+=k+`p = Program() - -`;var B=c.cregTotalBits();x&&(B+=1),B&&(b+=k+"ro = p.declare('ro', memory_type='BIT', memory_size="+B+`) -`,b+=` -`)}else b+=k+`p = Program() - -`;b+=S?k+S+` -`:"";for(var ot=0;ot=0,y.indexOf(I.name)>=0):(X=P.indexOf(E.name)>=0,y.indexOf(E.name)>=0);var z=!1;if(E.options&&E.options.condition&&E.options.condition.creg){z=!0,b+=` -`;var J=f.cregTotalBits(),rt=E.options.condition,Y=rt.value||0,et=f.cregBase(rt.creg);if(Y==0){var D=f.cregs[rt.creg].length;if(h<2){b+=k+"p.inst(FALSE("+J+`)) -`;for(var H=0;H0&&(b+=", "),typeof tt[I.params[dt]]<"u"){var G=v.parse(tt[I.params[dt]]);b+=G.toString({handler:m})}W++}h<2||X?b+=")":b+=", "}else if(T&&T.params&&T.params.length){var W=0;b+="(",qt=!0;for(var dt=0;dt0&&(b+=", "),typeof tt[T.params[dt]]<"u"){var G=v.parse(tt[T.params[dt]]);b+=G.toString({handler:m})}W++}h<2||X?b+=")":b+=", "}if(E.wires.length){var W=0;(h<2||!qt||X)&&(b+="(",qt=!0);for(var bt=0;bt0&&(b+=", "),e?b+="q"+E.wires[bt]:b+=""+E.wires[bt],W++;if(E.name=="measure"&&E.options&&E.options.creg){var Gt=parseInt(E.options.creg.bit)||0;isNaN(Gt)&&(Gt=0),W>0&&(b+=", "),h<2?b+=Gt+f.cregBase(E.options.creg.name):b+="ro["+(Gt+f.cregBase(E.options.creg.name))+"]",W++}b+=")"}b+=")",z&&(b+=`) -`),b+=` -`}else b+=k+'# Export to pyquil WARNING: unknown gate "'+E.name+'".'}}if(e)b+=k+`return p -`,b+=` -`;else{if(b+=` -`,h<2)if(b+=k+`qvm = QVMConnection() -`,d){b+=` -`,b+=k+`# CALCULATE COST HERE -`;var xt=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";xt.trim()||(xt="cost = 0"),b+=q(xt,k),b+=` -`,b+=k+`return cost -`}else b+=k+`print(qvm.run(p)) -`;else{p&&(b+=k+`p.wrap_in_numshots_loop(shots) -`,b+=` -`);var kt=r;if(kt||(h<2.1?kt=this.numQubits+"q-generic-qvm":kt=this.numQubits+"q-qvm"),b+=k+"qc = get_qc('"+kt+"'"+(r?", as_qvm="+(o?"True":"False"):"")+`) -`,r)if(b+=k+`ep = qc.compile(p) -`,C)if(b+=k+`results_list = qc.run(ep).readout_data.get("ro") -`,b+=k+`results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1], ""), results_list)) -`,d){b+=k+`counts = Counter(dict(zip(results,[results.count(i) for i in results]))) -`,b+=` -`,b+=k+`# CALCULATE COST HERE -`;var xt=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";xt.trim()||(xt="cost = 0"),b+=q(xt,k),b+=` -`,b+=k+`return cost -`}else b+=k+`counts = dict(zip(results,[results.count(i) for i in results])) -`,b+=k+`print(counts) -`;else if(d){b+=k+`counts = Counter(dict(zip(results,[results.count(i) for i in results]))) -`,b+=` -`,b+=k+`# CALCULATE COST HERE -`;var xt=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";xt.trim()||(xt="cost = 0"),b+=q(xt,k),b+=` -`,b+=k+`return cost -`}else b+=k+`print(qc.run(ep).readout_data.get("ro")) -`;else if(C)if(b+=k+`results_list = qc.run(p).readout_data.get("ro") -`,b+=k+`results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1], ""), results_list)) -`,d){b+=k+`counts = Counter(dict(zip(results,[results.count(i) for i in results]))) -`,b+=` -`,b+=k+`# CALCULATE COST HERE -`;var xt=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";xt.trim()||(xt="cost = 0"),b+=q(xt,k),b+=` -`,b+=k+`return cost -`}else b+=k+`counts = dict(zip(results,[results.count(i) for i in results])) -`,b+=k+`print(counts) -`;else if(b+=k+`results_list = qc.run(p).readout_data.get("ro") -`,b+=k+`results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1], ""), results_list)) -`,d){b+=k+`counts = Counter(dict(zip(results,[results.count(i) for i in results]))) -`,b+=` -`,b+=k+`# CALCULATE COST HERE -`;var xt=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";xt.trim()||(xt="cost = 0"),b+=q(xt,k),b+=` -`,b+=k+`return cost -`}else b+=k+`print(results) -`}if(d){var Qt="";this.params.map(function(wt,vt){vt>0&&(Qt+=", "),Qt+=wt}),b+=` -`,b+="params = np.array(["+Qt+`]) -`,b+=` -`,b+='minimum = minimize(objective_function, params, method="'+(this.options&&this.options.hybridOptions&&this.options.hybridOptions.optimizer?this.options.hybridOptions.optimizer:"Powell")+`", tol=tolerance) -`,b+=`print("cost:", minimum.fun, "params:", minimum.x) -`}}if(l){var Ut={metadata:{kernelspec:{display_name:"Python 3",language:"python",name:"python3"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:b,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(Ut)}return b},g.prototype.exportToQuil=function(a,e){a=a||{};var t=a.comment,n=!0,s=a.versionStr,r=this,o=parseFloat(s||"2.0");isNaN(o)&&(o=2);var l=new g;l.load(this.save(n));var p="";if(t){var d=(t||"").split(` -`);d.map(function(X){X.length>=1&&X[0]!="#"&&(p+="# "),p+=X,p+=` -`})}var f=l.usedGates();f.map(function(X){var z=l.basicGates[X];z&&z.exportInfo&&z.exportInfo.quil&&z.exportInfo.quil.defgate&&(p+=z.exportInfo.quil.defgate,p+=` - -`)});var h=this.gotClassicalControl(),c="";if(e){var m="";if(l.params.length){m+="(";for(var q=0;q0&&(m+=", "),m+="%"+l.params[q];m+=")"}for(var u="",q=0;q0&&(u+=" "),u+="q"+q;p+="DEFCIRCUIT "+e+(m?" "+m:"")+(u?" "+u:"")+`: -`,c=" "}else{if(p+=` -`,o>=2){var Q=l.cregTotalBits();h&&(Q+=1),Q&&(p+="DECLARE ro BIT["+Q+`] -`)}var _=this.options&&this.options.params?this.options.params:{};if(this.params.length){p+=` -`;for(var q=0;q=0)return"%"+X.name},C=1,P=0;P0&&(p+=", "),typeof b[L.params[T]]<"u"){var j=v.parse(b[L.params[T]]);p+=j.toString({handler:O})}E++}p+=")"}else if(A&&A.params&&A.params.length){p+="(";for(var T=0;T0&&(p+=", "),typeof b[A.params[T]]<"u"){var j=v.parse(b[A.params[T]]);p+=j.toString({handler:O})}E++}p+=")"}for(var tt=0;tt0&&(p+=" "),e?p+="q"+x.wires[tt]:p+=""+x.wires[tt],E++;if(x.name=="measure"&&x.options&&x.options.creg){var I=parseInt(x.options.creg.bit)||0;isNaN(I)&&(I=0),E>0&&(p+=" "),o<2?p+="["+(I+r.cregBase(x.options.creg.name))+"]":p+="ro["+(I+r.cregBase(x.options.creg.name))+"]",E++}p+=` -`,k&&(p+="LABEL @END"+(C+1)+` -`,p+=` -`,C+=2)}else console.log("unknown gate",x.name)}}return e&&(p+=` -`),p},g.prototype.exportToAQASM=function(a,e,t,n){var s=this;a=a||{},a.comment;var r=a.decompose,o=a.asJupyter,l=a.shots,p=e?a.hybrid:!1,d=null,f=null;l=l||1024,typeof p>"u"&&(p=this.options?!!this.options.hybrid:!1);var h=this.save(!!r);d=new g,f=new g,d.load(h),f.load(h);var c=function(D,H){if(D.isSymbolNode){var ut=["pi"];if(ut.indexOf(D.name)>=0)return"np."+D.name;var mt=D.name;if(H.replaceVars&&typeof H.replaceVars[mt]<"u"){var mt=H.replaceVars[mt];return s.params.indexOf(mt)>=0?"("+V[mt]+")":"("+mt+")"}if(s.params.indexOf(D.name)>=0)return V[D.name]}},m=function(D,H){var ut="",mt=D.split(` -`),K=-1;mt.map(function(dt){var bt=dt.search(/\S/);bt>=0&&(K<0||bt=0;_--)for(var S=0;S0&&(L+=", "),L+=d.params[N],k++;for(var N=0;N0&&(L+=", "),L+=St(N,d.numQubits),k++}else{y+=x+`from qat.lang.AQASM import * -`,y+=x+`from qat.qpus import get_default_qpu -`,y+=x+`from collections import Counter -`,p&&(y+=x+`from scipy.optimize import minimize -`),y+=x+`import numpy as np -`,y+=` -`;var W="",R=0;A.map(function(D){var H=d.basicGates[D];if(H){if(!r&&d.basicGates[D].exportInfo.aqasm&&d.basicGates[D].exportInfo.aqasm.array){if(unsupportedAqasmInfo=d.basicGates[D].exportInfo.aqasm,gateUnitary=D+"_gate",y+=x+"def "+gateUnitary+"(",unsupportedAqasmInfo.params&&unsupportedAqasmInfo.params.length){var ut=0;unsupportedAqasmInfo.params.map(function(bt){ut>0&&(y+=", "),y+=x+"p_"+bt,ut++})}y+=`): -`,y+=q(n+1)+"return np.array("+unsupportedAqasmInfo.array+`) - -`,W+=D+' = AbstractGate("'+D+'", [';var mt=0;if(unsupportedAqasmInfo.params)for(var K=0;K0&&(W+=", "),W+="float",mt++;H.matrix&&(arity=v.log2(H.matrix.length)),W+="], matrix_generator="+gateUnitary+", arity="+arity+`) -`}}else{var pt=s.customGates[D];if(pt){var qt=new g;qt.load(pt);var dt={comment:"",decompose:!0,asJupyter:!1,shots:null,hybrid:!1};y+=qt.exportToAQASM(dt,e,D,n),R++}}}),y+=W,y+=` -`,l&&(y+=x+"shots = "+l+` -`,y+=` -`),y+=x+`program = Program() -`,y+=x+"qubits_reg = program.qalloc("+d.numQubits+`) -`;for(var F in d.cregs)y+=x+F+" = program.calloc("+d.cregs[F].length+`) -`;y+=` -`;var V=this.options&&this.options.params?this.options.params:{};if(this.params.length){for(var N=0;N0&&(T+=", ");var K=v.parse(gateParams[mt]),pt=K.toString({handler:c});T+=pt,X++}),T+=")"}else{T="[";for(var z=0;z0&&(row_element=row_element.replace(K,pt))}),evaluated_expression=v.evaluate(row_element,s.options.params),matrix_element=v.complex(evaluated_expression),matrix_element_real=matrix_element.re,matrix_element_im=matrix_element.im,T+=matrix_element_real+", "+matrix_element_im+")",N0&&(y+=", "),e?t?y+=St(j.wires[J],d.numQubits):y+="qubits_reg["+j.wires[J]+"]":y+="q["+j.wires[J]+"]",k=k+1;j.options&&j.options.creg&&(y+=", "+j.options.creg.name+"["+j.options.creg.bit+"]"),e&&(y+=")"),y+=` -`}}if(t&&(y+=x+`return circuit - -`),!e)y+="END";else if(!t)if(y+=x+` -`,y+=x+`circuit = program.to_circ() -`,y+=x+`job = circuit.to_job(nbshots=shots, aggregate_data=False) -`,y+=x+`qpu = get_default_qpu() -`,y+=x+`job_result = qpu.submit(job) -`,y+=x+`counts = Counter() - -`,y+=x+`for state in job_result: -`,y+=x+` string_state = str(state.state) -`,y+=x+` string_state = string_state[string_state.find('|') + 1: string_state.find('>')] -`,y+=x+` string_state = string_state[::-1] -`,y+=x+` counts[string_state] += 1 - -`,p){y+=x+`# CALCULATE COST HERE -`;var rt=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";if(rt.trim()||(rt="cost = 0"),y+=m(rt,x),y+=` -`,y+=x+`return cost -`,n--,x=q(n),p){var Y="";this.params.map(function(D,H){H>0&&(Y+=", "),Y+=D}),y+=` -`,y+="params = np.array(["+Y+`]) -`,y+=` -`,y+='minimum = minimize(objective_function, params, method="'+(this.options&&this.options.hybridOptions&&this.options.hybridOptions.optimizer?this.options.hybridOptions.optimizer:"Powell")+`", tol=tolerance) -`,y+=`print("cost:", minimum.fun, "params:", minimum.x) -`}}else y+=x+"print(counts)";if(o&&e){var et={metadata:{kernelspec:{display_name:"Python 3",language:"python",name:"python3"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:y,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(et)}return y},g.prototype.exportAQASM=function(a,e,t,n,s,r,o,l){var p={comment:a,decompose:e,asJupyter:s,shots:r,hybrid:o};return this.exportToAQASM(p,t,n,l)},g.prototype.exportToPyAQASM=function(a,e){return this.exportToAQASM(a,!0,e)},g.prototype.exportPyAQASM=function(a,e,t,n,s,r){var o={comment:a,decompose:e,asJupyter:n,shots:s,hybrid:r};return this.exportToPyAQASM(o,t)},g.prototype.exportToCirq=function(a,e){a=a||{};var t=a.comment,n=a.decompose,s=a.versionStr,r=a.asJupyter,o=a.shots,l=a.exportTfq,p=this,d="";l?d="TFQ":d="cirq";var f=parseFloat(s||"0.7");isNaN(f)&&(f=.7),typeof o>"u"&&(o=1024);var h=new g;h.load(this.save(n));var c="",m="";if(t){var q=(t||"").split(` -`);q.map(function(Y){Y.length>=1&&Y[0]!="#"&&(c+="# "),c+=Y,c+=` -`})}var u=function(Y,et){if(Y.isSymbolNode){var D=["pi","sin","cos","tan","asin","acos","atan"];if(D.indexOf(Y.name)>=0)return"np."+Y.name}};if(e){for(var Q="",_=0,S=0;S0&&(Q+=", "),Q+=h.params[S],_++;for(var S=0;S0&&(Q+=", "),Q+=St(S,h.numQubits),_++;c+="def "+e+(Q?"("+Q+")":"")+`: -`,c+=` return [ -`,m=" "}else{l&&(c+=`import tensorflow_quantum as tfq -`),c+=`import cirq -`,c+=`import numpy as np -`,c+=`from functools import reduce -`,c+=` -`;var j=this.options&&this.options.params?this.options.params:{};if(this.params.length){for(var S=0;S=0&&(U.params[re]=S.options.params[re])})}var V=S.options&&S.options.condition?S.options.condition:{};L.addGate(U.name,C,S.wires,{params:U.params,condition:V});var G={comment:"",decompose:!1,compatibilityMode:o};l+=L.exportToQASM(G,!1,!0,!!e||n)})):_.exportInfo.qasm&&_.exportInfo.qasm.equivalent&&(T=_.exportInfo.qasm.equivalent,T.map(function(U){var L=new fe;L.cregs=JSON.parse(JSON.stringify(d.cregs));var Y=U.wires.length>1?S.wires:S.wires[U.wires[0]],ge={};if(U.params){var V={};if(S.options&&S.options.params)for(var G in S.options.params){var re=Ct(S.options.params[G]),ve=re.toString({handler:p});V[G]=ve}for(var K in U.params){var re=Ct(U.params[K]),ve=re.toString({handler:p,replaceVars:V});ge[K]=ve}}var pe=S.options&&S.options.condition?S.options.condition:{};L.addGate(U.name,C,Y,{params:ge,condition:pe});var he={comment:"",decompose:!1,compatibilityMode:o};l+=L.exportToQASM(he,"",!0,!!e||n)})))}if(!b&&!T&&((e||n)&&(l+=" "),S.options&&S.options.condition&&S.options.condition.creg&&(l+="if("+S.options.condition.creg+"=="+S.options.condition.value+") ")),!b&&!T||o){var q=S.name,M=S.options&&S.options.params?S.options.params:{};if(l+=o?S.name:A,M){var _=u.basicGates[q];if(_||(_=u.customGates[q]),_){var O=_.params||[],k=O.length;if(k){l+=" (";for(var B=0;B0&&(l+=", ");var Q=O[B],P=M[Q];if(!e&&!n&&!o){var z=Ct(M[Q]);P=z.toString({handler:p})}l+=P}l+=")"}}}for(var R=0;R0&&(l+=","),e||n?l+=" "+Mr(S.wires[R],u.numQubits):l+=" q["+S.wires[R]+"]";q=="measure"&&S.options&&S.options.creg&&(l+=" -> ",l+=S.options.creg.name+"["+S.options.creg.bit+"]"),l+=`; +`}}}return e&&(l+=`} + +`),l},fe.prototype.exportToPyquil=function(t,e){t=t||{};var r=t.comment,n=t.decompose,a=t.versionStr,s=t.lattice,o=t.asQVM,d=t.asJupyter,c=t.shots,p=t.hybrid,u=this,l=parseFloat(a||"2.12");isNaN(l)&&(l=2.1),c||(c=1024),typeof p>"u"&&(p=this.options?!!this.options.hybrid:!1);var m=new fe;m.load(this.save(n));var f=function(Ee,Ce){if(Ee.isSymbolNode){var Fe=["pi","sin","cos","tan","asin","acos","atan"];if(Fe.indexOf(Ee.name)>=0)return"np."+Ee.name;if(u.params.indexOf(Ee.name)>=0&&p)return"params["+u.params.indexOf(Ee.name)+"]"}},y=function(Ee,Ce){var Fe="",Oe=Ee.split(` +`),Pe=-1;Oe.map(function(Xe){var Ye=Xe.search(/\S/);Ye>=0&&(Pe<0||Ye0&&(Oe+=", "),Oe+="p_"+rt;var Ye="p_"+rt+" = Parameter('"+rt+"')";N.indexOf(Ye)<0&&N.push(Ye)}),Oe+="]"),C+="p.inst("+Fe.name+`_defgate) +`,v+=Fe.name+"_array = np.array("+Fe.array+`) +`,D+=Fe.name+"_defgate = DefGate('"+Fe.name+"', "+Fe.name+"_array"+Oe+`) +`,D+=Fe.name+" = "+Fe.name+`_defgate.get_constructor() +`,T.push(Fe.name)}else{var Pe="";if(Fe.replacement){var Re=m.basicGates[Fe.replacement.name];Re&&Re.exportInfo&&(Re.exportInfo.pyquil?Pe=Re.exportInfo.pyquil.name:Re.exportInfo.quil&&(Pe=Re.exportInfo.quil.name))}else Pe=Fe.name;Pe&&(g&&(g+=", "),g+=Pe)}}else if(Ce.exportInfo&&Ce.exportInfo.quil){var Fe=Ce.exportInfo.quil;if(!Fe.defgate){var Pe="";if(Fe.replacement){var Re=m.basicGates[Fe.replacement.name];Re&&Re.exportInfo&&(Re.exportInfo.pyquil?Pe=Re.exportInfo.pyquil.name:Re.exportInfo.quil&&(Pe=Re.exportInfo.quil.name))}else Pe=Fe.name;Pe&&(g&&(g+=", "),g+=Pe)}}}});var _=m.gotClassicalControl();_&&(g&&(g+=", "),l<2?g+="FALSE, NOT, OR, AND":g+="MOVE, NOT, IOR, AND");var q="";D&&(l<2.12?q=`from pyquil.parameters import Parameter, quil_sin, quil_cos, quil_sqrt, quil_exp, quil_cis +from pyquil.quilbase import DefGate`:q=`from pyquil.quilatom import Parameter, quil_sin, quil_cos, quil_sqrt, quil_exp, quil_cis +from pyquil.quilbase import DefGate`);var M="";if(r){var O=(r||"").split(` +`);O.map(function(Ee){Ee.length>=1&&Ee[0]!="#"&&(M+="# "),M+=Ee,M+=` +`})}var k="";if(e){for(var B="",Q=0,P=0;P0&&(B+=", "),B+=m.params[P],Q++;for(var P=0;P0&&(B+=", "),B+="q"+P,Q++;M+="def "+e+(B?"("+B+")":"")+`: +`,k=" "}else{l<2?(M+=`from pyquil.api import QVMConnection +`,M+=`from pyquil.quil import Program +`):M+=`from pyquil import Program, get_qc +`,g&&(M+="from pyquil.gates import "+g+` +`),q&&(M+=q+` +`),M+=`from functools import reduce +`,p&&(M+=`from scipy.optimize import minimize +`,M+=`from collections import Counter +`),M+=`import numpy as np +`,c&&(M+=` +`,M+="shots = "+c+` +`);var z=this.options&&this.options.params?this.options.params:{};if(this.params.length){M+=` +`;for(var P=0;P=2&&!e){o||s?M+=k+`p = Program('PRAGMA INITIAL_REWIRING "PARTIAL"') + +`:M+=k+`p = Program() + +`;var Y=m.cregTotalBits();_&&(Y+=1),Y&&(M+=k+"ro = p.declare('ro', memory_type='BIT', memory_size="+Y+`) +`,M+=` +`)}else M+=k+`p = Program() + +`;M+=C?k+C+` +`:"";for(var ge=0;ge=0,A.indexOf(K.name)>=0):(pe=T.indexOf(G.name)>=0,A.indexOf(G.name)>=0);var he=!1;if(G.options&&G.options.condition&&G.options.condition.creg){he=!0,M+=` +`;var ie=u.cregTotalBits(),ye=G.options.condition,de=ye.value||0,De=u.cregBase(ye.creg);if(de==0){var we=u.cregs[ye.creg].length;if(l<2){M+=k+"p.inst(FALSE("+ie+`)) +`;for(var _e=0;_e0&&(M+=", "),typeof ve[K.params[me]]<"u"){var U=Ct(String(ve[K.params[me]]));M+=U.toString({handler:f})}Q++}l<2||pe?M+=")":M+=", "}else if(re&&re.params&&re.params.length){var Q=0;M+="(",ae=!0;for(var me=0;me0&&(M+=", "),typeof ve[re.params[me]]<"u"){var U=Ct(ve[re.params[me]]);M+=U.toString({handler:f})}Q++}l<2||pe?M+=")":M+=", "}if(G.wires.length){var Q=0;(l<2||!ae||pe)&&(M+="(",ae=!0);for(var Se=0;Se0&&(M+=", "),e?M+="q"+G.wires[Se]:M+=""+G.wires[Se],Q++;if(G.name=="measure"&&G.options&&G.options.creg){var Me=parseInt(G.options.creg.bit)||0;isNaN(Me)&&(Me=0),Q>0&&(M+=", "),l<2?M+=Me+u.cregBase(G.options.creg.name):M+="ro["+(Me+u.cregBase(G.options.creg.name))+"]",Q++}M+=")"}M+=")",he&&(M+=`) +`),M+=` +`}else M+=k+'# Export to pyquil WARNING: unknown gate "'+G.name+'".'}}if(e)M+=k+`return p +`,M+=` +`;else{if(M+=` +`,l<2)if(M+=k+`qvm = QVMConnection() +`,p){M+=` +`,M+=k+`# CALCULATE COST HERE +`;var H=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";H.trim()||(H="cost = 0"),M+=y(H,k),M+=` +`,M+=k+`return cost +`}else M+=k+`print(qvm.run(p)) +`;else{c&&(M+=k+`p.wrap_in_numshots_loop(shots) +`,M+=` +`);var X=s;if(X||(l<2.1?X=this.numQubits+"q-generic-qvm":X=this.numQubits+"q-qvm"),M+=k+"qc = get_qc('"+X+"'"+(s?", as_qvm="+(o?"True":"False"):"")+`) +`,s)if(M+=k+`ep = qc.compile(p) +`,b)if(M+=k+`results_list = qc.run(ep).readout_data.get("ro") +`,M+=k+`results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1], ""), results_list)) +`,p){M+=k+`counts = Counter(dict(zip(results,[results.count(i) for i in results]))) +`,M+=` +`,M+=k+`# CALCULATE COST HERE +`;var H=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";H.trim()||(H="cost = 0"),M+=y(H,k),M+=` +`,M+=k+`return cost +`}else M+=k+`counts = dict(zip(results,[results.count(i) for i in results])) +`,M+=k+`print(counts) +`;else if(p){M+=k+`counts = Counter(dict(zip(results,[results.count(i) for i in results]))) +`,M+=` +`,M+=k+`# CALCULATE COST HERE +`;var H=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";H.trim()||(H="cost = 0"),M+=y(H,k),M+=` +`,M+=k+`return cost +`}else M+=k+`print(qc.run(ep).readout_data.get("ro")) +`;else if(b)if(M+=k+`results_list = qc.run(p).readout_data.get("ro") +`,M+=k+`results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1], ""), results_list)) +`,p){M+=k+`counts = Counter(dict(zip(results,[results.count(i) for i in results]))) +`,M+=` +`,M+=k+`# CALCULATE COST HERE +`;var H=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";H.trim()||(H="cost = 0"),M+=y(H,k),M+=` +`,M+=k+`return cost +`}else M+=k+`counts = dict(zip(results,[results.count(i) for i in results])) +`,M+=k+`print(counts) +`;else if(M+=k+`results_list = qc.run(p).readout_data.get("ro") +`,M+=k+`results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1], ""), results_list)) +`,p){M+=k+`counts = Counter(dict(zip(results,[results.count(i) for i in results]))) +`,M+=` +`,M+=k+`# CALCULATE COST HERE +`;var H=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";H.trim()||(H="cost = 0"),M+=y(H,k),M+=` +`,M+=k+`return cost +`}else M+=k+`print(results) +`}if(p){var xe="";this.params.map(function(Ee,Ce){Ce>0&&(xe+=", "),xe+=Ee}),M+=` +`,M+="params = np.array(["+xe+`]) +`,M+=` +`,M+='minimum = minimize(objective_function, params, method="'+(this.options&&this.options.hybridOptions&&this.options.hybridOptions.optimizer?this.options.hybridOptions.optimizer:"Powell")+`", tol=tolerance) +`,M+=`print("cost:", minimum.fun, "params:", minimum.x) +`}}if(d){var Ne={metadata:{kernelspec:{display_name:"Python 3",language:"python",name:"python3"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:M,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(Ne)}return M},fe.prototype.exportToQuil=function(t,e){t=t||{};var r=t.comment,n=!0,a=t.versionStr,s=this,o=parseFloat(a||"2.0");isNaN(o)&&(o=2);var d=new fe;d.load(this.save(n));var c="";if(r){var p=(r||"").split(` +`);p.map(function(pe){pe.length>=1&&pe[0]!="#"&&(c+="# "),c+=pe,c+=` +`})}var u=d.usedGates();u.map(function(pe){var he=d.basicGates[pe];he&&he.exportInfo&&he.exportInfo.quil&&he.exportInfo.quil.defgate&&(c+=he.exportInfo.quil.defgate,c+=` + +`)});var l=this.gotClassicalControl(),m="";if(e){var f="";if(d.params.length){f+="(";for(var y=0;y0&&(f+=", "),f+="%"+d.params[y];f+=")"}for(var g="",y=0;y0&&(g+=" "),g+="q"+y;c+="DEFCIRCUIT "+e+(f?" "+f:"")+(g?" "+g:"")+`: +`,m=" "}else{if(c+=` +`,o>=2){var N=d.cregTotalBits();l&&(N+=1),N&&(c+="DECLARE ro BIT["+N+`] +`)}var D=this.options&&this.options.params?this.options.params:{};if(this.params.length){c+=` +`;for(var y=0;y0&&(y+=", "),y+="p_"+K}),y+=`): -`,et.matrix&&et.matrix.length)if(f<.7)switch(et.matrix.length){case 2:y+=" return cirq.SingleQubitMatrixGate(np.array("+D.array+`)) -`;break;case 4:y+=" return cirq.TwoQubitMatrixGate(np.array("+D.array+`)) -`;break;default:y+=" # Export to "+d+" WARNING: Cannot define "+et.matrix.length+" x "+et.matrix.length+` matrix gate -`}else y+=" return cirq.MatrixGate(np.array("+D.array+`)) -`;y+=` -`}}}}),c+=y,l?c+="q = cirq.GridQubit.rect(1, "+h.numQubits+`) -`:c+="q = [cirq.NamedQubit('q' + str(i)) for i in range("+h.numQubits+`)] +`}var u=d.usedGates()}for(var S=function(pe,he){if(pe.isSymbolNode&&d.params.indexOf(pe.name)>=0)return"%"+pe.name},b=1,T=0;T0&&(c+=", "),typeof M[O.params[re]]<"u"){var v=Ct(String(M[O.params[re]]));c+=v.toString({handler:S})}G++}c+=")"}else if(q&&q.params&&q.params.length){c+="(";for(var re=0;re0&&(c+=", "),typeof M[q.params[re]]<"u"){var v=Ct(M[q.params[re]]);c+=v.toString({handler:S})}G++}c+=")"}for(var ve=0;ve<_.wires.length;ve++)G>0&&(c+=" "),e?c+="q"+_.wires[ve]:c+=""+_.wires[ve],G++;if(_.name=="measure"&&_.options&&_.options.creg){var K=parseInt(_.options.creg.bit)||0;isNaN(K)&&(K=0),G>0&&(c+=" "),o<2?c+="["+(K+s.cregBase(_.options.creg.name))+"]":c+="ro["+(K+s.cregBase(_.options.creg.name))+"]",G++}c+=` +`,k&&(c+="LABEL @END"+(b+1)+` `,c+=` -`,f<.7?c+=`circuit = cirq.Circuit.from_ops( -`:c+=`circuit = cirq.Circuit( -`,m=" "}for(var A=h.numCols(),b=0,L="",k=!1,N=0;N0&&(c+=",",l&&k&&(c+=m+"# Export to TFQ WARNING: Gate not yet supported by Tensorflow Quantum"),c+=` -`);var F=h.getGateDef(R.name),V=R.options&&R.options.params?R.options.params:{},G=null,Z=!1,B=!!h.basicGates[R.name];if(F){F.exportInfo&&(k=!!F.exportInfo.cirq.notTfqSupported,F.exportInfo.cirq&&F.exportInfo.cirq.replacement&&(F.exportInfo.cirq.replacement.params&&(V=F.exportInfo.cirq.replacement.params),Z=!!(F.exportInfo.cirq.replacement.type&&F.exportInfo.cirq.replacement.type=="controlled"),k=!!F.exportInfo.cirq.replacement.notTfqSupported,F=h.getGateDef(F.exportInfo.cirq.replacement.name)),G=F&&F.exportInfo&&F.exportInfo.cirq?F.exportInfo.cirq:null),b++,R.options&&R.options.condition&&R.options.condition.creg&&(c+=m+"# Export to "+d+` WARNING: classical control not implemented yet. -`);var ot=0,U="";if(V){var E=F.params||[];R.name=="yy"&&(E=[]);var T=E.length;if(T)for(var tt=0;tt0&&(U+=", ");var I=E[tt];if(V[I]){var C=v.parse(V[I]);if(!C.args)for(var X in R.options.params)C=v.parse(R.options.params[X]);U+=C.toString({handler:u})}ot==T-1&&(B?U+=")":U+=", "),ot++}}if(G){var z=G.name.indexOf("**")>=0;c+=m,z&&(c+="("),G.array||(c+="cirq."),l&&G.tfqReplacement&&G.tfqReplacement.name?c+="cirq."+G.tfqReplacement.name:c+=G.name,z&&(c+=")")}else c+=m+R.name;c+=U,Z?c+=".controlled().on(":B&&(c+="(");for(var _=0,J=0;J0&&(c+=", "),e?c+=St(R.wires[J],h.numQubits):c+="q["+R.wires[J]+"]",_++;R.name=="measure"&&R.options&&R.options.creg&&(_>0&&(c+=", key="),c+="'"+R.options.creg.name+R.options.creg.bit+"'",N==A-1&&W==this.numQubits-1?L+="'"+R.options.creg.name+R.options.creg.bit+"'":L+="'"+R.options.creg.name+R.options.creg.bit+"', ",_++),c+=")"}else c+=m+"# Export to "+d+' WARNING: unknown gate "'+R.name+'".'}}if(l&&k&&(c+=m+"# Export to TFQ WARNING: Gate not yet supported by Tensorflow Quantu"),e?(c+=` - ] -`,c+=` -`):(c+=` -) -`,c+=` -`,l||(c+=`simulator = cirq.Simulator() -`,c+="result = simulator.run(circuit, repetitions="+o+`) -`,c+="result_dict = dict(result.multi_measurement_histogram(keys=["+L+`])) -`,c+=`keys = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1]), result_dict.keys())) -`,c+=`counts = dict(zip(keys,[value for value in result_dict.values()])) -`,c+="print(counts)")),r){var rt={metadata:{kernelspec:{display_name:"Python 3",language:"python",name:"python3"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:c,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(rt)}return c},g.prototype.exportToTFQ=function(a,e){a=a||{};var t=a.comment,n=a.decompose,s=a.versionStr,r=a.asJupyter,o=a.shots;typeof o>"u"&&(o=1024);var l=new g;l.load(this.save(n));var p="";if(t){var d=(t||"").split(` -`);d.map(function(c){c.length>=1&&c[0]!="#"&&(cirq+="# "),cirq+=c,cirq+=` -`})}var f={comment:t,decompose:n,versionStr:s,asJupyter:!1,shots:o,exportTfq:!0};if(p+=l.exportToCirq(f,e),p+="results_list = tfq.layers.Sample()(circuit, repetitions="+o+`).to_list()[0] -`,p+=`results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1]), results_list)) -`,p+=`counts = dict(zip(results,[results.count(i) for i in results])) -`,p+="print(counts)",r){var h={metadata:{kernelspec:{display_name:"Python 3",language:"python",name:"python3"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:p,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(h)}return p},g.prototype.exportToQSharp=function(a,e){a=a||{},a.comment;var t=a.decompose,n=a.versionStr,s=a.asJupyter,r=a.circuitName,o=a.indentDepth,l=this,p=function(U,E){if(U.isSymbolNode){var T={pi:"PI()"};if(T[U.name])return T[U.name]}if(U.isConstantNode&&Number.isInteger(U.value))return U.value.toFixed(1)},d=r||"Circuit";o=o||0;function f(U){for(var E="",T=0;T0&&(q+=", "),q+=h.params[Q],u++;for(var Q=0;Q0&&(q+=", "),q+=St(Q,h.numQubits)+": Qubit",u++;c+=m+"operation "+e+(q?"("+q+")":"")}else{var _=h.usedGates();t||_.map(function(U){var E=h.basicGates[U];if(!E){var T=l.customGates[U];if(T){var tt=new g;tt.load(T);var I={comment:"",decompose:!0,versionStr:n,asJupyter:!1,circuitName:null,indentDepth:o};c+=tt.exportToQSharp(I,e)}}}),c+=m+"operation "+d+"()"}o++,m=f(o);var S=0;for(cregName in h.cregs)S++;var j="";if(S){c+=" : (";for(cregName in h.cregs)j&&(c+=", ",j+=", "),c+="Int",j+=cregName;c+=")"}else c+=" : Unit";if(c+=` { -`,S)for(cregName in h.cregs)c+=m+"mutable "+cregName+` = 0; -`;qreg_name="qubits",e||(c+=m+"using(",c+=qreg_name+" = Qubit["+h.numQubits+"]",c+=`) { -`,o++,m=f(o));for(var _=h.usedGates(),O=h.numCols(),C=0;C0&&(W+=", ");var G=R[V];if(A[G]){var Z=v.parse(A[G]);W+=Z.toString({handler:p})}N++}}if(y.name=="measure")y.options&&y.options.creg?(c+=m+"set "+y.options.creg.name+" = SetBitValue("+y.options.creg.name+", "+y.options.creg.bit+", ResultAsBool(M(",e?c+=St(y.wires[0],h.numQubits)+`))); -`:c+=qreg_name+"["+y.wires[0]+`]))); -`):c+=m+`// Export to qsharp WARNING: missing destination register -`;else{c+=m,y.options&&y.options.condition&&y.options.condition.creg&&(c+="if("+y.options.condition.creg+" == "+y.options.condition.value+`) { -`,o++,m=f(o),c+=m),b?c+=b.name+"(":c+=y.name+"(",L?(e?c+="["+St(y.wires[0],h.numQubits)+"], (":c+="["+qreg_name+"["+y.wires[0]+"]], (",k=1):k=0,W&&(c+=W+", ");for(var u=0,B=k;B0&&(c+=", "),e?c+=St(y.wires[B],h.numQubits):c+=qreg_name+"["+y.wires[B]+"]",u++;L&&(c+=")"),c+=`); -`,y.options&&y.options.condition&&y.options.condition.creg&&(o--,m=f(o),c+=m+`} -`)}}}}if(e||(c+=m+"ResetAll("+qreg_name+`); -`,o--,m=f(o),c+=m+`} -`),S&&(c+=m+"return ("+j+`); -`),o--,m=f(o),c+=m+`} -`,e?c+=` -`:s||(c+=`} -`),s){var ot={metadata:{kernelspec:{display_name:"Q#",language:"qsharp",name:"iqsharp"},language_info:{name:""}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:c,metadata:{},outputs:[],execution_count:null},{cell_type:"code",source:"%simulate "+d,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(ot)}return c},g.prototype.exportToBraket=function(a,e){a=a||{},a.comment;var t=a.decompose,n=a.versionStr,s=a.asJupyter,r=a.shots,o=a.hybrid,l=a.indentDepth,p=this;r=r||1024,typeof o>"u"&&(o=this.options?!!this.options.hybrid:!1);var d=new g;d.load(this.save(t));var f=function(z,J){if(z.isSymbolNode){var rt=["pi","sin","cos","tan","asin","acos","atan"];if(rt.indexOf(z.name)>=0)return"np."+z.name;if(p.params.indexOf(z.name)>=0&&o)return"params["+p.params.indexOf(z.name)+"]"}},h=function(z,J){var rt="",Y=z.split(` -`),et=-1;Y.map(function(ut){var mt=ut.search(/\S/);mt>=0&&(et<0||mt0&&(Q+=", "),Q+=St(S,d.numQubits),_++;for(var S=0;S0&&(Q+=", "),Q+=d.params[S],_++}else{m+=q+`import numpy as np -`,m+=q+`from braket.devices import LocalSimulator -`,m+=q+`from braket.circuits import Circuit -`,m+=q+`from collections import Counter -`,o&&(m+=q+`from scipy.optimize import minimize -`),m+=` -`,r&&(m+=q+"shots = "+r+` +`,b+=2)}else console.log("unknown gate",_.name)}}return e&&(c+=` +`),c},fe.prototype.exportToAQASM=function(t,e,r,n){var a=this;t=t||{},t.comment;var s=t.decompose,o=t.asJupyter,d=t.shots,c=e?t.hybrid:!1,p=null,u=null;d=d||1024,typeof c>"u"&&(c=this.options?!!this.options.hybrid:!1);var l=this.save(!!s);p=new fe,u=new fe,p.load(l),u.load(l);var m=function(we,_e){if(we.isSymbolNode){var J=["pi"];if(J.indexOf(we.name)>=0)return"np."+we.name;var te=we.name;if(_e.replaceVars&&typeof _e.replaceVars[te]<"u"){var te=_e.replaceVars[te];return a.params.indexOf(te)>=0?"("+R[te]+")":"("+te+")"}if(a.params.indexOf(we.name)>=0)return R[we.name]}},f=function(we,_e){var J="",te=we.split(` +`),oe=-1;te.map(function(me){var Se=me.search(/\S/);Se>=0&&(oe<0||Se=0;D--)for(var C=0;C0&&(O+=", "),O+=p.params[B],k++;for(var B=0;B0&&(O+=", "),O+=Mr(B,p.numQubits),k++}else{A+=_+`from qat.lang.AQASM import * +`,A+=_+`from qat.qpus import get_default_qpu +`,A+=_+`from collections import Counter +`,c&&(A+=_+`from scipy.optimize import minimize +`),A+=_+`import numpy as np +`,A+=` +`;var Q="",P=0;q.map(function(we){var _e=p.basicGates[we];if(_e){if(!s&&p.basicGates[we].exportInfo.aqasm&&p.basicGates[we].exportInfo.aqasm.array){if(unsupportedAqasmInfo=p.basicGates[we].exportInfo.aqasm,gateUnitary=we+"_gate",A+=_+"def "+gateUnitary+"(",unsupportedAqasmInfo.params&&unsupportedAqasmInfo.params.length){var J=0;unsupportedAqasmInfo.params.map(function(Se){J>0&&(A+=", "),A+=_+"p_"+Se,J++})}A+=`): +`,A+=y(n+1)+"return np.array("+unsupportedAqasmInfo.array+`) + +`,Q+=we+' = AbstractGate("'+we+'", [';var te=0;if(unsupportedAqasmInfo.params)for(var oe=0;oe0&&(Q+=", "),Q+="float",te++;_e.matrix&&(arity=hi(_e.matrix.length)),Q+="], matrix_generator="+gateUnitary+", arity="+arity+`) +`}}else{var ee=a.customGates[we];if(ee){var ae=new fe;ae.load(ee);var me={comment:"",decompose:!0,asJupyter:!1,shots:null,hybrid:!1};A+=ae.exportToAQASM(me,e,we,n),P++}}}),A+=Q,A+=` +`,d&&(A+=_+"shots = "+d+` +`,A+=` +`),A+=_+`program = Program() +`,A+=_+"qubits_reg = program.qalloc("+p.numQubits+`) +`;for(var z in p.cregs)A+=_+z+" = program.calloc("+p.cregs[z].length+`) +`;A+=` +`;var R=this.options&&this.options.params?this.options.params:{};if(this.params.length){for(var B=0;B0&&(re+=", ");var oe=Ct(gateParams[te]),ee=oe.toString({handler:m});re+=ee,pe++}),re+=")"}else{re="[";for(var he=0;he0&&(row_element=row_element.replace(oe,ee))}),evaluated_expression=zr(row_element,a.options.params),matrix_element=Wt(evaluated_expression),matrix_element_real=matrix_element.re,matrix_element_im=matrix_element.im,re+=matrix_element_real+", "+matrix_element_im+")",B0&&(A+=", "),e?r?A+=Mr(v.wires[ie],p.numQubits):A+="qubits_reg["+v.wires[ie]+"]":A+="q["+v.wires[ie]+"]",k=k+1;v.options&&v.options.creg&&(A+=", "+v.options.creg.name+"["+v.options.creg.bit+"]"),e&&(A+=")"),A+=` +`}}if(r&&(A+=_+`return circuit + +`),!e)A+="END";else if(!r)if(A+=_+` +`,A+=_+`circuit = program.to_circ() +`,A+=_+`job = circuit.to_job(nbshots=shots, aggregate_data=False) +`,A+=_+`qpu = get_default_qpu() +`,A+=_+`job_result = qpu.submit(job) +`,A+=_+`counts = Counter() + +`,A+=_+`for state in job_result: +`,A+=_+` string_state = str(state.state) +`,A+=_+` string_state = string_state[string_state.find('|') + 1: string_state.find('>')] +`,A+=_+` string_state = string_state[::-1] +`,A+=_+` counts[string_state] += 1 + +`,c){A+=_+`# CALCULATE COST HERE +`;var ye=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";if(ye.trim()||(ye="cost = 0"),A+=f(ye,_),A+=` +`,A+=_+`return cost +`,n--,_=y(n),c){var de="";this.params.map(function(we,_e){_e>0&&(de+=", "),de+=we}),A+=` +`,A+="params = np.array(["+de+`]) +`,A+=` +`,A+='minimum = minimize(objective_function, params, method="'+(this.options&&this.options.hybridOptions&&this.options.hybridOptions.optimizer?this.options.hybridOptions.optimizer:"Powell")+`", tol=tolerance) +`,A+=`print("cost:", minimum.fun, "params:", minimum.x) +`}}else A+=_+"print(counts)";if(o&&e){var De={metadata:{kernelspec:{display_name:"Python 3",language:"python",name:"python3"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:A,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(De)}return A},fe.prototype.exportAQASM=function(t,e,r,n,a,s,o,d){var c={comment:t,decompose:e,asJupyter:a,shots:s,hybrid:o};return this.exportToAQASM(c,r,n,d)},fe.prototype.exportToPyAQASM=function(t,e){return this.exportToAQASM(t,!0,e)},fe.prototype.exportPyAQASM=function(t,e,r,n,a,s){var o={comment:t,decompose:e,asJupyter:n,shots:a,hybrid:s};return this.exportToPyAQASM(o,r)},fe.prototype.exportToCirq=function(t,e){t=t||{};var r=t.comment,n=t.decompose,a=t.versionStr,s=t.asJupyter,o=t.shots,d=t.exportTfq,c=this,p="";d?p="TFQ":p="cirq";var u=parseFloat(a||"0.7");isNaN(u)&&(u=.7),typeof o>"u"&&(o=1024);var l=new fe;l.load(this.save(n));var m="",f="";if(r){var y=(r||"").split(` +`);y.map(function(de){de.length>=1&&de[0]!="#"&&(m+="# "),m+=de,m+=` +`})}var g=function(de,De){if(de.isSymbolNode){var we=["pi","sin","cos","tan","asin","acos","atan"];if(we.indexOf(de.name)>=0)return"np."+de.name}};if(e){for(var N="",D=0,C=0;C0&&(N+=", "),N+=l.params[C],D++;for(var C=0;C0&&(N+=", "),N+=Mr(C,l.numQubits),D++;m+="def "+e+(N?"("+N+")":"")+`: +`,m+=` return [ +`,f=" "}else{d&&(m+=`import tensorflow_quantum as tfq +`),m+=`import cirq +`,m+=`import numpy as np +`,m+=`from functools import reduce `,m+=` -`);var j=this.options&&this.options.params?this.options.params:{};if(this.params.length){for(var S=0;S0&&(A+=", "),A+="p_"+oe}),A+=`): +`,De.matrix&&De.matrix.length)if(u<.7)switch(De.matrix.length){case 2:A+=" return cirq.SingleQubitMatrixGate(np.array("+we.array+`)) +`;break;case 4:A+=" return cirq.TwoQubitMatrixGate(np.array("+we.array+`)) +`;break;default:A+=" # Export to "+p+" WARNING: Cannot define "+De.matrix.length+" x "+De.matrix.length+` matrix gate +`}else A+=" return cirq.MatrixGate(np.array("+we.array+`)) +`;A+=` +`}}}}),m+=A,d?m+="q = cirq.GridQubit.rect(1, "+l.numQubits+`) +`:m+="q = [cirq.NamedQubit('q' + str(i)) for i in range("+l.numQubits+`)] `,m+=` -`)}var y=null,x=null,A=0;u.map(function(z){var J=d.basicGates[z];if(J){if(!t&&d.basicGates[z].exportInfo.braket&&d.basicGates[z].exportInfo.braket.array){if(y=d.basicGates[z].exportInfo.braket,y.name=="unitary"&&(x=z+"_unitary",m+=q+"def "+x+"("),y.params&&y.params.length){var rt=0;y.params.map(function(D){rt>0&&(m+=", "),m+=q+"p_"+D,rt++})}m+=`): -`,m+=c(l+1)+"return np.array("+y.array+`); - -`}}else{var Y=p.customGates[z];if(Y){var et=new g;et.load(Y),m+=et.exportBraket("",!0,z,n,!1,null,!1,l),A++}}}),e?(m+="def "+e+(Q?"("+Q+")":"")+`: -`,l++,q=c(l)):o&&(m+=`def objective_function(params): -`,l++,q=c(l)),m+=q+`circuit = Circuit() -`,e||A&&(m+=` -`,u.map(function(z){!d.basicGates[z]&&d.customGates[z]&&(m+=q+"circuit.register_subroutine("+z+`) -`)}),m+=` -`);for(var b=d.numCols(),L=0;L0&&(Z+=", ");var T=F[E];if(typeof R[T]<"u"){var C=v.parse(R[T]);Z+=C.toString({handler:f})}ot++}}m+=q+"circuit.",B?m+="unitary(matrix="+G+"_unitary("+Z+"), targets=[":m+=G+"(";var _=0;for(w=0;w0&&(m+=", "),e?m+=St(N.wires[w],d.numQubits):m+=N.wires[w],_++;B?m+="]":Z&&(m+=", ",m+=Z),m+=")",m+=` -`}}}if(e&&(m+=q+"return circuit"),m+=` - -`,!e)if(m+=q+`local_sim = LocalSimulator() -`,m+=q+`result = local_sim.run(circuit, shots=shots).result() -`,m+=q+`counts = Counter({ "".join(reversed(k)): v for k, v in result.measurement_counts.items() }) +`,u<.7?m+=`circuit = cirq.Circuit.from_ops( +`:m+=`circuit = cirq.Circuit( +`,f=" "}for(var q=l.numCols(),M=0,O="",k=!1,B=0;B0&&(m+=",",d&&k&&(m+=f+"# Export to TFQ WARNING: Gate not yet supported by Tensorflow Quantum"),m+=` +`);var z=l.getGateDef(P.name),R=P.options&&P.options.params?P.options.params:{},U=null,L=!1,Y=!!l.basicGates[P.name];if(z){z.exportInfo&&(k=!!z.exportInfo.cirq.notTfqSupported,z.exportInfo.cirq&&z.exportInfo.cirq.replacement&&(z.exportInfo.cirq.replacement.params&&(R=z.exportInfo.cirq.replacement.params),L=!!(z.exportInfo.cirq.replacement.type&&z.exportInfo.cirq.replacement.type=="controlled"),k=!!z.exportInfo.cirq.replacement.notTfqSupported,z=l.getGateDef(z.exportInfo.cirq.replacement.name)),U=z&&z.exportInfo&&z.exportInfo.cirq?z.exportInfo.cirq:null),M++,P.options&&P.options.condition&&P.options.condition.creg&&(m+=f+"# Export to "+p+` WARNING: classical control not implemented yet. +`);var ge=0,V="";if(R){var G=z.params||[];P.name=="yy"&&(G=[]);var re=G.length;if(re)for(var ve=0;ve0&&(V+=", ");var K=G[ve];if(R[K]){var b=Ct(R[K]);if(!b.args)for(var pe in P.options.params)b=Ct(P.options.params[pe]);V+=b.toString({handler:g})}ge==re-1&&(Y?V+=")":V+=", "),ge++}}if(U){var he=U.name.indexOf("**")>=0;m+=f,he&&(m+="("),U.array||(m+="cirq."),d&&U.tfqReplacement&&U.tfqReplacement.name?m+="cirq."+U.tfqReplacement.name:m+=U.name,he&&(m+=")")}else m+=f+P.name;m+=V,L?m+=".controlled().on(":Y&&(m+="(");for(var D=0,ie=0;ie0&&(m+=", "),e?m+=Mr(P.wires[ie],l.numQubits):m+="q["+P.wires[ie]+"]",D++;P.name=="measure"&&P.options&&P.options.creg&&(D>0&&(m+=", key="),m+="'"+P.options.creg.name+P.options.creg.bit+"'",B==q-1&&Q==this.numQubits-1?O+="'"+P.options.creg.name+P.options.creg.bit+"'":O+="'"+P.options.creg.name+P.options.creg.bit+"', ",D++),m+=")"}else m+=f+"# Export to "+p+' WARNING: unknown gate "'+P.name+'".'}}if(d&&k&&(m+=f+"# Export to TFQ WARNING: Gate not yet supported by Tensorflow Quantu"),e?(m+=` + ] +`,m+=` +`):(m+=` +) `,m+=` -`,o){m+=q+`# CALCULATE COST HERE -`;var tt=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";if(tt.trim()||(tt="cost = 0"),m+=h(tt,q),m+=` -`,m+=q+`return cost -`,l--,q=c(l),o){var I="";this.params.map(function(z,J){J>0&&(I+=", "),I+=z}),m+=` -`,m+="params = np.array(["+I+`]) +`,d||(m+=`simulator = cirq.Simulator() +`,m+="result = simulator.run(circuit, repetitions="+o+`) +`,m+="result_dict = dict(result.multi_measurement_histogram(keys=["+O+`])) +`,m+=`keys = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1]), result_dict.keys())) +`,m+=`counts = dict(zip(keys,[value for value in result_dict.values()])) +`,m+="print(counts)")),s){var ye={metadata:{kernelspec:{display_name:"Python 3",language:"python",name:"python3"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:m,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(ye)}return m},fe.prototype.exportToTFQ=function(t,e){t=t||{};var r=t.comment,n=t.decompose,a=t.versionStr,s=t.asJupyter,o=t.shots;typeof o>"u"&&(o=1024);var d=new fe;d.load(this.save(n));var c="";if(r){var p=(r||"").split(` +`);p.map(function(m){m.length>=1&&m[0]!="#"&&(cirq+="# "),cirq+=m,cirq+=` +`})}var u={comment:r,decompose:n,versionStr:a,asJupyter:!1,shots:o,exportTfq:!0};if(c+=d.exportToCirq(u,e),c+="results_list = tfq.layers.Sample()(circuit, repetitions="+o+`).to_list()[0] +`,c+=`results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1]), results_list)) +`,c+=`counts = dict(zip(results,[results.count(i) for i in results])) +`,c+="print(counts)",s){var l={metadata:{kernelspec:{display_name:"Python 3",language:"python",name:"python3"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:c,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(l)}return c},fe.prototype.exportToQSharp=function(t,e){t=t||{},t.comment;var r=t.decompose,n=t.versionStr,a=t.asJupyter,s=t.circuitName,o=t.indentDepth,d=this,c=function(V,G){if(V.isSymbolNode){var re={pi:"PI()"};if(re[V.name])return re[V.name]}if(V.isConstantNode&&Number.isInteger(V.value))return V.value.toFixed(1)},p=s||"Circuit";o=o||0;function u(V){for(var G="",re=0;re=0?"("+o[z]+")":"("+z+")"}if(r.params.indexOf(I.name)>=0)return o[I.name]}};if(!e){n&&(h.header.description=n);for(cregName in p.cregs){var q=p.cregs[cregName].length;f.config.memory_slots+=q,h.header.creg_sizes.push([cregName,q]);for(var u=0;u-1&&(I.params[et]=C.options.params[et])})}var rt=C.options&&C.options.condition?C.options.condition:{};X.addGate(I.name,j,C.wires,{params:I.params,condition:rt});var Y={circuitName:"",experimentName:"",numShots:""};h.instructions=h.instructions.concat(X.exportToQobj(Y,!0))})):A.exportInfo.qasm&&A.exportInfo.qasm.equivalent&&(x=A.exportInfo.qasm.equivalent,x.map(function(I){var X=new g;X.cregs=JSON.parse(JSON.stringify(r.cregs));var z=I.wires.length>1?C.wires:C.wires[I.wires[0]],J={};if(I.params){var rt={};if(C.options&&C.options.params)for(var Y in C.options.params){var et=v.parse(C.options.params[Y]),D=et.toString({handler:m});rt[Y]=D}for(var H in I.params){var et=v.parse(I.params[H]),D=et.toString({handler:m,replaceVars:rt});J[H]=D}}var ut=C.options&&C.options.condition?C.options.condition:{};X.addGate(I.name,j,z,{params:J,condition:ut});var mt={circuitName:"",experimentName:"",numShots:""};h.instructions=h.instructions.concat(X.exportToQobj(mt,!0))}))),!y&&!x){var b=C.name,L=C.options&&C.options.params?C.options.params:{};if(this.basicGates[b]){switch(b){case"id":b="iden";break}if(P.name=b,P.qubits=C.wires,C.options&&C.options.condition&&C.options.condition.creg){for(var k={name:"",register:Q,relation:"==",mask:"",val:""},N=p.cregs[C.options.condition.creg].length,W=0,R=0,F="",V="",G=c.indexOf(C.options.condition.creg),u=0;u0){for(var B=Math.pow(2,W),ot=0;ot0)for(var r in e.wireMap){var p=this.partitionMap[r][e.column.left-1];if(p>=0){e.parents[p]||(e.parents[p]={},e.parents[p].links=[]);var d=this.partitionInfo[p];for(var f in d.wireMap)f==r&&e.parents[p].links.push(e.wireMap[r])}}return e},g.prototype.partitionCircuit=function(a){var e=this.partitionInfo[a];if(!e)return null;var t=[],n=[];for(var s in e.parents){var r={};r.circuit=this.partitionCache[s],r.wires=[],r.wires=e.parents[s].links,n=n.concat(r.wires),t.push(r)}var o=new g;if(t.length>0){if(e.numQubits>n.length){var r={};r.circuit=new g(e.numQubits-n.length),r.wires=[];for(var l=0;l=0&&j.indexOf(q)<0&&j.push(q)}if(j.length)if(j.length==1)this.state=r.partitionCache[j[0]].state,this.stateBits=r.partitionCache[j[0]].stateBits;else{for(var O=this.stats.start,C=[],P=0;P=e){for(var f=l.toString(2);f.length "+l+`% -`}}return t},g.prototype.print=function(a){console.log(this.stateAsString(a))},g.prototype.gotClassicalControl=function(){for(var a=0;ae&&(e=o)}if(r.options.condition&&r.options.condition.creg&&r.options.condition.creg==a){var l=Math.floor(Math.log2(r.options.condition.value));l>e&&(e=l)}}}return e+1},g.prototype.resizeCreg=function(a,e){if(!(ee;)this.cregs[a].pop()}},g.prototype.getCreg=function(a){return this.cregs[a]},g.prototype.setCregBit=function(a,e,t){var n=parseInt(e);if(isNaN(n))throw'Error: invalid "cbit" argument to "setCregBit" method: expected "integer" got "'+typeof e+'".';for(this.cregs[a]||(this.cregs[a]=[]);n>=this.cregs[a].length;)this.cregs[a].push(0);this.cregs[a][n]=t?1:0},g.prototype.getCregBit=function(a,e){if(!this.cregs[a])throw'Error: "getCregBit": unknown register "'+a+'".';var t=parseInt(e);if(isNaN(t)||t>=this.cregs[a].length)throw'Error: "getCregBit": bit "'+e+'" not found.';return this.cregs[a][t]},g.prototype.cregBase=function(a){if(!this.cregs[a])throw'Error: "getCregBit": unknown register "'+a+'".';var e=0;for(var t in this.cregs){if(t==a)return e;e+=this.cregs[t].length}},g.prototype.cregTotalBits=function(){var a=0;for(var e in this.cregs)a+=this.cregs[e].length;return a},g.prototype.getCregValue=function(a){if(!this.cregs[a])throw'Error: "getCregBit": unknown register "'+a+'".';for(var e=this.cregs[a].length,t=0,n=0;n=0;o--)this.collapsed.push(1<0&&(t[p]-=l,t[p]<=0)){for(var d=parseInt(r).toString(2);d.length=0&&n.splice(n.indexOf("measure"),1),t.noReset&&n.indexOf("reset")>=0&&n.splice(n.indexOf("reset"),1);for(var s=0;s=0);p.push(d)}var f={};if(o.params&&o.params.length){var h={};o.params.map(function(m){h[m]=Math.PI*2*Math.random(),h[m]>Math.PI&&(h[m]=Math.PI-h[m])}),f.params=h}if(r=="measure")f.creg={name:"c",bit:p[0]};else if(!t.noClassicControl&&Math.floor(Math.random()*4)==0){var c=this.cregTotalBits();c&&(f.condition={creg:"c",value:Math.floor(Math.random()*v.pow(2,c))})}this.appendGate(r,p,f),s++}}}},g.prototype.randomUnitary=function(a){var e=new g;return e.randomCircuit(a||1,(a||1)*8,{useGates:["rx","rz","cz"],noMeasure:!0,noReset:!0,noClassicControl:!0}),e.circuitMatrix()},g.prototype.eulerAnglesZYZ=function(a){var e={theta:null,phi:null,lambda:null,phase:null},t=v.pow(v.det(a),-.5);e.phase=-1*v.complex(t).toPolar().phi;var n=v.multiply(t,a);e.theta=2*v.atan2(v.abs(n[1][0]),v.abs(n[0][0]));var s=2*v.complex(n[1][1]).toPolar().phi,r=2*v.complex(n[1][0]).toPolar().phi;return e.phi=(s+r)/2,e.lambda=(s-r)/2,e},Lt.exports=g});export default me(); +`,m+=f+`function SetBitValue(reg: Int, bit: Int, value: Bool): Int { +`,m+=f+` if(value) { +`,m+=f+` return reg ||| (1 <<< bit); +`,m+=f+` } else { +`,m+=f+` return reg &&& ~~~(1 <<< bit); +`,m+=f+` } +`,m+=f+`} +`,m+=f+` +`),e){for(var y="",g=0,N=0;N0&&(y+=", "),y+=l.params[N],g++;for(var N=0;N0&&(y+=", "),y+=Mr(N,l.numQubits)+": Qubit",g++;m+=f+"operation "+e+(y?"("+y+")":"")}else{var D=l.usedGates();r||D.map(function(V){var G=l.basicGates[V];if(!G){var re=d.customGates[V];if(re){var ve=new fe;ve.load(re);var K={comment:"",decompose:!0,versionStr:n,asJupyter:!1,circuitName:null,indentDepth:o};m+=ve.exportToQSharp(K,e)}}}),m+=f+"operation "+p+"()"}o++,f=u(o);var C=0;for(cregName in l.cregs)C++;var v="";if(C){m+=" : (";for(cregName in l.cregs)v&&(m+=", ",v+=", "),m+="Int",v+=cregName;m+=")"}else m+=" : Unit";if(m+=` { +`,C)for(cregName in l.cregs)m+=f+"mutable "+cregName+` = 0; +`;qreg_name="qubits",e||(m+=f+"using(",m+=qreg_name+" = Qubit["+l.numQubits+"]",m+=`) { +`,o++,f=u(o));for(var D=l.usedGates(),S=l.numCols(),b=0;b0&&(Q+=", ");var U=P[R];if(q[U]){var L=Ct(q[U]);Q+=L.toString({handler:c})}B++}}if(A.name=="measure")A.options&&A.options.creg?(m+=f+"set "+A.options.creg.name+" = SetBitValue("+A.options.creg.name+", "+A.options.creg.bit+", ResultAsBool(M(",e?m+=Mr(A.wires[0],l.numQubits)+`))); +`:m+=qreg_name+"["+A.wires[0]+`]))); +`):m+=f+`// Export to qsharp WARNING: missing destination register +`;else{m+=f,A.options&&A.options.condition&&A.options.condition.creg&&(m+="if("+A.options.condition.creg+" == "+A.options.condition.value+`) { +`,o++,f=u(o),m+=f),M?m+=M.name+"(":m+=A.name+"(",O?(e?m+="["+Mr(A.wires[0],l.numQubits)+"], (":m+="["+qreg_name+"["+A.wires[0]+"]], (",k=1):k=0,Q&&(m+=Q+", ");for(var g=0,Y=k;Y0&&(m+=", "),e?m+=Mr(A.wires[Y],l.numQubits):m+=qreg_name+"["+A.wires[Y]+"]",g++;O&&(m+=")"),m+=`); +`,A.options&&A.options.condition&&A.options.condition.creg&&(o--,f=u(o),m+=f+`} +`)}}}}if(e||(m+=f+"ResetAll("+qreg_name+`); +`,o--,f=u(o),m+=f+`} +`),C&&(m+=f+"return ("+v+`); +`),o--,f=u(o),m+=f+`} +`,e?m+=` +`:a||(m+=`} +`),a){var ge={metadata:{kernelspec:{display_name:"Q#",language:"qsharp",name:"iqsharp"},language_info:{name:""}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:m,metadata:{},outputs:[],execution_count:null},{cell_type:"code",source:"%simulate "+p,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(ge)}return m},fe.prototype.exportToBraket=function(t,e){t=t||{},t.comment;var r=t.decompose,n=t.versionStr,a=t.asJupyter,s=t.shots,o=t.hybrid,d=t.indentDepth,c=this;s=s||1024,typeof o>"u"&&(o=this.options?!!this.options.hybrid:!1);var p=new fe;p.load(this.save(r));var u=function(he,ie){if(he.isSymbolNode){var ye=["pi","sin","cos","tan","asin","acos","atan"];if(ye.indexOf(he.name)>=0)return"np."+he.name;if(c.params.indexOf(he.name)>=0&&o)return"params["+c.params.indexOf(he.name)+"]"}},l=function(he,ie){var ye="",de=he.split(` +`),De=-1;de.map(function(J){var te=J.search(/\S/);te>=0&&(De<0||te0&&(N+=", "),N+=Mr(C,p.numQubits),D++;for(var C=0;C0&&(N+=", "),N+=p.params[C],D++}else{f+=y+`import numpy as np +`,f+=y+`from braket.devices import LocalSimulator +`,f+=y+`from braket.circuits import Circuit +`,f+=y+`from collections import Counter +`,o&&(f+=y+`from scipy.optimize import minimize +`),f+=` +`,s&&(f+=y+"shots = "+s+` +`,f+=` +`);var v=this.options&&this.options.params?this.options.params:{};if(this.params.length){for(var C=0;C0&&(f+=", "),f+=y+"p_"+we,ye++})}f+=`): +`,f+=m(d+1)+"return np.array("+A.array+`); + +`}}else{var de=c.customGates[he];if(de){var De=new fe;De.load(de),f+=De.exportBraket("",!0,he,n,!1,null,!1,d),q++}}}),e?(f+="def "+e+(N?"("+N+")":"")+`: +`,d++,y=m(d)):o&&(f+=`def objective_function(params): +`,d++,y=m(d)),f+=y+`circuit = Circuit() +`,e||q&&(f+=` +`,g.map(function(he){!p.basicGates[he]&&p.customGates[he]&&(f+=y+"circuit.register_subroutine("+he+`) +`)}),f+=` +`);for(var M=p.numCols(),O=0;O0&&(L+=", ");var re=z[G];if(typeof P[re]<"u"){var b=Ct(P[re]);L+=b.toString({handler:u})}ge++}}f+=y+"circuit.",Y?f+="unitary(matrix="+U+"_unitary("+L+"), targets=[":f+=U+"(";var D=0;for(w=0;w0&&(f+=", "),e?f+=Mr(B.wires[w],p.numQubits):f+=B.wires[w],D++;Y?f+="]":L&&(f+=", ",f+=L),f+=")",f+=` +`}}}if(e&&(f+=y+"return circuit"),f+=` + +`,!e)if(f+=y+`local_sim = LocalSimulator() +`,f+=y+`result = local_sim.run(circuit, shots=shots).result() +`,f+=y+`counts = Counter({ "".join(reversed(k)): v for k, v in result.measurement_counts.items() }) +`,f+=` +`,o){f+=y+`# CALCULATE COST HERE +`;var ve=this.options&&this.options.hybridOptions&&this.options.hybridOptions.costFunction&&this.options.hybridOptions.costFunction.python||"";if(ve.trim()||(ve="cost = 0"),f+=l(ve,y),f+=` +`,f+=y+`return cost +`,d--,y=m(d),o){var K="";this.params.map(function(he,ie){ie>0&&(K+=", "),K+=he}),f+=` +`,f+="params = np.array(["+K+`]) +`,f+=` +`,f+='minimum = minimize(objective_function, params, method="'+(this.options&&this.options.hybridOptions&&this.options.hybridOptions.optimizer?this.options.hybridOptions.optimizer:"Powell")+`", tol=tolerance) +`,f+=`print("cost:", minimum.fun, "params:", minimum.x) +`}}else f+=y+"print(counts)";if(a){var pe={metadata:{kernelspec:{display_name:"Python 3",language:"python",name:"python3"}},nbformat:4,nbformat_minor:0,cells:[{cell_type:"code",source:f,metadata:{},outputs:[],execution_count:null}]};return JSON.stringify(pe)}return f},fe.prototype.exportToQobj=function(t,e){t=t||{};var r=t.circuitName,n=t.experimentName,a=t.numShots,s=this,o=this.options&&this.options.params?this.options.params:{},o=JSON.parse(JSON.stringify(o));for(var d in o)o[d]=zr(o[d]);r=r||"",n=n||"",a=a||1;var c=new fe;c.load(this.save(!0));var p=this.randomString(),u={qobj_id:"qobj_"+p,type:"QASM",schema_version:"1.0",experiments:[],header:{description:r},config:{shots:a,memory_slots:0}},l={header:{memory_slots:0,n_qubits:0,qreg_sizes:[],qubit_labels:[],creg_sizes:[],clbit_labels:[],name:"circuit0"},config:{n_qubits:0,memory_slots:0},instructions:[]},m=Object.keys(c.cregs),f=function(K,pe){if(K.isSymbolNode){var he=K.name;if(pe.replaceVars&&typeof pe.replaceVars[he]<"u"){var he=pe.replaceVars[he];return s.params.indexOf(he)>=0?"("+o[he]+")":"("+he+")"}if(s.params.indexOf(K.name)>=0)return o[K.name]}};if(!e){n&&(l.header.description=n);for(cregName in c.cregs){var y=c.cregs[cregName].length;u.config.memory_slots+=y,l.header.creg_sizes.push([cregName,y]);for(var g=0;g-1&&(K.params[De]=b.options.params[De])})}var ye=b.options&&b.options.condition?b.options.condition:{};pe.addGate(K.name,v,b.wires,{params:K.params,condition:ye});var de={circuitName:"",experimentName:"",numShots:""};l.instructions=l.instructions.concat(pe.exportToQobj(de,!0))})):q.exportInfo.qasm&&q.exportInfo.qasm.equivalent&&(_=q.exportInfo.qasm.equivalent,_.map(function(K){var pe=new fe;pe.cregs=JSON.parse(JSON.stringify(s.cregs));var he=K.wires.length>1?b.wires:b.wires[K.wires[0]],ie={};if(K.params){var ye={};if(b.options&&b.options.params)for(var de in b.options.params){var De=Ct(b.options.params[de]),we=De.toString({handler:f});ye[de]=we}for(var _e in K.params){var De=Ct(K.params[_e]),we=De.toString({handler:f,replaceVars:ye});ie[_e]=we}}var J=b.options&&b.options.condition?b.options.condition:{};pe.addGate(K.name,v,he,{params:ie,condition:J});var te={circuitName:"",experimentName:"",numShots:""};l.instructions=l.instructions.concat(pe.exportToQobj(te,!0))}))),!A&&!_){var M=b.name,O=b.options&&b.options.params?b.options.params:{};if(this.basicGates[M]){switch(M){case"id":M="iden";break}if(T.name=M,T.qubits=b.wires,b.options&&b.options.condition&&b.options.condition.creg){for(var k={name:"",register:N,relation:"==",mask:"",val:""},B=c.cregs[b.options.condition.creg].length,Q=0,P=0,z="",R="",U=m.indexOf(b.options.condition.creg),g=0;g0){for(var Y=Math.pow(2,Q),ge=0;ge0)for(var s in e.wireMap){var c=this.partitionMap[s][e.column.left-1];if(c>=0){e.parents[c]||(e.parents[c]={},e.parents[c].links=[]);var p=this.partitionInfo[c];for(var u in p.wireMap)u==s&&e.parents[c].links.push(e.wireMap[s])}}return e},fe.prototype.partitionCircuit=function(t){var e=this.partitionInfo[t];if(!e)return null;var r=[],n=[];for(var a in e.parents){var s={};s.circuit=this.partitionCache[a],s.wires=[],s.wires=e.parents[a].links,n=n.concat(s.wires),r.push(s)}var o=new fe;if(r.length>0){if(e.numQubits>n.length){var s={};s.circuit=new fe(e.numQubits-n.length),s.wires=[];for(var d=0;d=0&&v.indexOf(y)<0&&v.push(y)}if(v.length)if(v.length==1)this.state=s.partitionCache[v[0]].state,this.stateBits=s.partitionCache[v[0]].stateBits;else{for(var S=this.stats.start,b=[],T=0;T=e){for(var u=d.toString(2);u.length "+d+`% +`}}return r},fe.prototype.print=function(t){console.log(this.stateAsString(t))},fe.prototype.gotClassicalControl=function(){for(var t=0;te&&(e=o)}if(s.options.condition&&s.options.condition.creg&&s.options.condition.creg==t){var d=Math.floor(Math.log2(s.options.condition.value));d>e&&(e=d)}}}return e+1},fe.prototype.resizeCreg=function(t,e){if(!(ee;)this.cregs[t].pop()}},fe.prototype.getCreg=function(t){return this.cregs[t]},fe.prototype.setCregBit=function(t,e,r){var n=parseInt(e);if(isNaN(n))throw'Error: invalid "cbit" argument to "setCregBit" method: expected "integer" got "'+typeof e+'".';for(this.cregs[t]||(this.cregs[t]=[]);n>=this.cregs[t].length;)this.cregs[t].push(0);this.cregs[t][n]=r?1:0},fe.prototype.getCregBit=function(t,e){if(!this.cregs[t])throw'Error: "getCregBit": unknown register "'+t+'".';var r=parseInt(e);if(isNaN(r)||r>=this.cregs[t].length)throw'Error: "getCregBit": bit "'+e+'" not found.';return this.cregs[t][r]},fe.prototype.cregBase=function(t){if(!this.cregs[t])throw'Error: "getCregBit": unknown register "'+t+'".';var e=0;for(var r in this.cregs){if(r==t)return e;e+=this.cregs[r].length}},fe.prototype.cregTotalBits=function(){var t=0;for(var e in this.cregs)t+=this.cregs[e].length;return t},fe.prototype.getCregValue=function(t){if(!this.cregs[t])throw'Error: "getCregBit": unknown register "'+t+'".';for(var e=this.cregs[t].length,r=0,n=0;n=0;o--)this.collapsed.push(1<0&&(r[c]-=d,r[c]<=0)){for(var p=parseInt(s).toString(2);p.length=0&&n.splice(n.indexOf("measure"),1),r.noReset&&n.indexOf("reset")>=0&&n.splice(n.indexOf("reset"),1);for(var a=0;a=0);c.push(p)}var u={};if(o.params&&o.params.length){var l={};o.params.map(function(f){l[f]=Math.PI*2*Math.random(),l[f]>Math.PI&&(l[f]=Math.PI-l[f])}),u.params=l}if(s=="measure")u.creg={name:"c",bit:c[0]};else if(!r.noClassicControl&&Math.floor(Math.random()*4)==0){var m=this.cregTotalBits();m&&(u.condition={creg:"c",value:Math.floor(Math.random()*Mt(2,m))})}this.appendGate(s,c,u),a++}}}},fe.prototype.randomUnitary=function(t){var e=new fe;return e.randomCircuit(t||1,(t||1)*8,{useGates:["rx","rz","cz"],noMeasure:!0,noReset:!0,noClassicControl:!0}),e.circuitMatrix()},fe.prototype.eulerAnglesZYZ=function(t){var e={theta:null,phi:null,lambda:null,phase:null},r=Mt(sf(t),-.5);e.phase=-1*Wt(r).toPolar().phi;var n=it(r,t);e.theta=2*og(zt(n[1][0]),zt(n[0][0]));var a=2*Wt(n[1][1]).toPolar().phi,s=2*Wt(n[1][0]).toPolar().phi;return e.phi=(a+s)/2,e.lambda=(a-s)/2,e};export{fe as QuantumCircuit}; diff --git a/lib/qasm_import/QASMImport.js b/lib/qasm_import/QASMImport.js index 71802f3..4fb34f2 100644 --- a/lib/qasm_import/QASMImport.js +++ b/lib/qasm_import/QASMImport.js @@ -7,20 +7,20 @@ * the LICENSE.txt file in the root directory of this source tree. */ -var antlr4 = require('antlr4/index'); -var QASMLexer = require('./QASMLexer'); -var QASMParser = require('./QASMParser'); -var QASMListener = require('./QASMListener').QASMListener; +import {QASMLexer} from "./QASMLexer.js"; +import {QASMParser} from "./QASMParser.js"; +import {QASMListener} from "./QASMListener.js"; +import {CommonTokenStream, ErrorListener, InputStream, ParseTreeWalker} from "antlr4"; -var ErrorListener = function(errors) { - antlr4.error.ErrorListener.call(this); +var ErrorListenerQ = function(errors) { + ErrorListener.call(this); this.errors = errors; return this; }; -ErrorListener.prototype = Object.create(antlr4.error.ErrorListener.prototype); -ErrorListener.prototype.constructor = ErrorListener; -ErrorListener.prototype.syntaxError = function(rec, sym, line, col, msg, e) { +ErrorListenerQ.prototype = Object.create(ErrorListenerQ.prototype); +ErrorListenerQ.prototype.constructor = ErrorListener; +ErrorListenerQ.prototype.syntaxError = function(rec, sym, line, col, msg, e) { this.errors.push({ line: line, col: col, @@ -28,553 +28,526 @@ ErrorListener.prototype.syntaxError = function(rec, sym, line, col, msg, e) { }); }; -var QCQASMListener = function(circuit, compatibilityMode) { - this.circuit = circuit; - this.qregMap = {}; - this.condition = {}; - this.compatibilityMode = compatibilityMode; - - QASMListener.call(this); // inherit default listener - return this; -}; - -var QASMImport = function(circuit, input, errorCallback, compatibilityMode) { - var chars = new antlr4.InputStream(input); - var lexer = new QASMLexer.QASMLexer(chars); - var tokens = new antlr4.CommonTokenStream(lexer); - var parser = new QASMParser.QASMParser(tokens); - parser.buildParseTrees = true; - - parser.removeErrorListeners(); - var errors = []; - var errorListener = new ErrorListener(errors); - parser.addErrorListener(errorListener); - - var tree = parser.mainprog(); - var QASM = new QCQASMListener(circuit, compatibilityMode); - antlr4.tree.ParseTreeWalker.DEFAULT.walk(QASM, tree); - if(errorCallback) { - errorCallback(errors); +class QCQASMListener extends QASMListener { + constructor (circuit, compatibilityMode) { + super() + this.circuit = circuit; + this.qregMap = {}; + this.condition = {}; + this.compatibilityMode = compatibilityMode; } -}; - - -// inherit default listener -QCQASMListener.prototype = Object.create(QASMListener.prototype); -QCQASMListener.prototype.constructor = QCQASMListener; - -QCQASMListener.prototype.numQbit = function() { - var num = 0; - for(var reg in this.qregMap) { - num += this.qregMap[reg]; - } - return num; -}; - -QCQASMListener.prototype.qregBase = function(qreg) { - var base = 0; - for(var reg in this.qregMap) { - if(reg == qreg) { - return base; + numQbit = function() { + var num = 0; + for(var reg in this.qregMap) { + num += this.qregMap[reg]; } - base += this.qregMap[reg]; - } - return base; -}; + return num; + }; + + qregBase = function(qreg) { + var base = 0; + for(var reg in this.qregMap) { + if(reg == qreg) { + return base; + } + base += this.qregMap[reg]; + } + return base; + }; -QCQASMListener.prototype.qregLen = function(reg) { - return this.qregMap[reg] || 0; -}; + qregLen = function(reg) { + return this.qregMap[reg] || 0; + }; // Enter a parse tree produced by QASMParser#mainprog. -QCQASMListener.prototype.enterMainprog = function(ctx) { -}; + enterMainprog = function(ctx) { + }; // Exit a parse tree produced by QASMParser#mainprog. -QCQASMListener.prototype.exitMainprog = function(ctx) { -}; + exitMainprog = function(ctx) { + }; // Enter a parse tree produced by QASMParser#statement. -QCQASMListener.prototype.enterStatement = function(ctx) { - var self = this; - - // condition - var name = ctx.getChildCount() ? ctx.getChild(0).getText() : ""; - if(name == "if") { - this.condition = { - creg: ctx.ID().getText(), - value: parseInt(ctx.INT().getText()) + enterStatement = function(ctx) { + var self = this; + + // condition + var name = ctx.getChildCount() ? ctx.getChild(0).getText() : ""; + if(name == "if") { + this.condition = { + creg: ctx.ID().getText(), + value: parseInt(ctx.INT().getText()) + } } - } - // subroutine (gate declaration) - if(ctx.gatedecl()) { - var gatedecl = ctx.gatedecl(); - var args = []; - var params = []; - - var ccount = gatedecl.getChildCount(); - if(ccount > 2 && gatedecl.getChild(2).ID) { - // no params - args = gatedecl.getChild(2).ID(); - } else { - if(ccount > 3 && gatedecl.getChild(3).ID) { - params = gatedecl.getChild(3).ID(); - } - if(ccount > 5 && gatedecl.getChild(5).ID) { + // subroutine (gate declaration) + if(ctx.gatedecl()) { + var gatedecl = ctx.gatedecl(); + var args = []; + var params = []; + + var ccount = gatedecl.getChildCount(); + if(ccount > 2 && gatedecl.getChild(2).ID) { // no params - args = gatedecl.getChild(5).ID(); + args = gatedecl.getChild(2).ID(); + } else { + if(ccount > 3 && gatedecl.getChild(3).ID) { + params = gatedecl.getChild(3).ID(); + } + if(ccount > 5 && gatedecl.getChild(5).ID) { + // no params + args = gatedecl.getChild(5).ID(); + } } - } - var proto = Object.getPrototypeOf(this.circuit); - var customGate = new proto.constructor(args.length); - var customGateName = gatedecl.ID().getText(); - var customGateRegs = []; - - args.map(function(reg) { - customGateRegs.push(reg.getText()); - }); - - params.map(function(par) { - var parName = par.getText(); - customGate.params.push(parName); - }); - - if(ctx.goplist()) { - var goplist = ctx.goplist(); - goplist.uop().map(function(uop) { - var gateName = uop.ID() ? uop.ID().getText() : ""; - if(gateName) { - var idlist = uop.anylist() ? uop.anylist().idlist() : null; - var mixedlist = uop.anylist() ? uop.anylist().mixedlist() : null; - var explist = uop.explist(); - - - switch(gateName) { - case "CX": gateName = "cx"; break; - case "U": gateName = "u3"; break; - } + var proto = Object.getPrototypeOf(this.circuit); + var customGate = new proto.constructor(args.length); + var customGateName = gatedecl.ID().getText(); + var customGateRegs = []; - if(!self.circuit.basicGates[gateName] && !self.circuit.customGates[gateName]) { - // find gate by qasm name - for(var tmpName in self.circuit.basicGates) { - var tmpDef = self.circuit.basicGates[tmpName]; - if(tmpDef.exportInfo && tmpDef.exportInfo.qasm && tmpDef.exportInfo.qasm.name && tmpDef.exportInfo.qasm.name == gateName) { - gateName = tmpName; - break; - } - // newer versions of qiskit exports to qasm with gate names undefined by qasm 2.0 definition... - if(tmpDef.exportInfo && tmpDef.exportInfo.qiskit && tmpDef.exportInfo.qiskit.name && tmpDef.exportInfo.qiskit.name == gateName) { - gateName = tmpName; - break; - } - } - } + args.map(function(reg) { + customGateRegs.push(reg.getText()); + }); + params.map(function(par) { + var parName = par.getText(); + customGate.params.push(parName); + }); - var params = {}; - if(explist && explist.exp()) { - var gateDef = self.circuit.basicGates[gateName]; - if(!gateDef) { - gateDef = self.circuit.customGates[gateName]; + if(ctx.goplist()) { + var goplist = ctx.goplist(); + goplist.uop().map(function(uop) { + var gateName = uop.ID() ? uop.ID().getText() : ""; + if(gateName) { + var idlist = uop.anylist() ? uop.anylist().idlist() : null; + var mixedlist = uop.anylist() ? uop.anylist().mixedlist() : null; + var explist = uop.explist(); + + + switch(gateName) { + case "CX": gateName = "cx"; break; + case "U": gateName = "u3"; break; } - if(gateDef) { - var paramList = explist.exp(); - var paramDef = gateDef.params || []; - paramList.map(function(paramItem, paramIndex) { - var paramValue = paramItem.getText(); - var paramName = paramDef.length >= paramIndex ? paramDef[paramIndex] : ""; - if(paramName) { - params[paramName] = paramValue; + if(!self.circuit.basicGates[gateName] && !self.circuit.customGates[gateName]) { + // find gate by qasm name + for(var tmpName in self.circuit.basicGates) { + var tmpDef = self.circuit.basicGates[tmpName]; + if(tmpDef.exportInfo && tmpDef.exportInfo.qasm && tmpDef.exportInfo.qasm.name && tmpDef.exportInfo.qasm.name == gateName) { + gateName = tmpName; + break; } - }); + // newer versions of qiskit exports to qasm with gate names undefined by qasm 2.0 definition... + if(tmpDef.exportInfo && tmpDef.exportInfo.qiskit && tmpDef.exportInfo.qiskit.name && tmpDef.exportInfo.qiskit.name == gateName) { + gateName = tmpName; + break; + } + } } - } - var options = { params: params }; + var params = {}; + if(explist && explist.exp()) { + var gateDef = self.circuit.basicGates[gateName]; + if(!gateDef) { + gateDef = self.circuit.customGates[gateName]; + } - var wires = []; + if(gateDef) { + var paramList = explist.exp(); + var paramDef = gateDef.params || []; + paramList.map(function(paramItem, paramIndex) { + var paramValue = paramItem.getText(); + var paramName = paramDef.length >= paramIndex ? paramDef[paramIndex] : ""; + if(paramName) { + params[paramName] = paramValue; + } + }); + } + } + + var options = { params: params }; - if(idlist) { - var count = idlist.ID().length; - for(var i = 0; i < count; i++) { - wires.push(customGateRegs.indexOf(idlist.ID()[i].getText())); + + var wires = []; + + if(idlist) { + var count = idlist.ID().length; + for(var i = 0; i < count; i++) { + wires.push(customGateRegs.indexOf(idlist.ID()[i].getText())); + } } - } - if(mixedlist) { - // ? - } + if(mixedlist) { + // ? + } -/* - if(!self.compatibilityMode) { - switch(gateName) { - case "rz": { - gateName = "u1"; - if(options && options.params && options.params.phi) { - options.params.lambda = options.params.phi; - delete options.params.phi; - } - }; break; + /* + if(!self.compatibilityMode) { + switch(gateName) { + case "rz": { + gateName = "u1"; + if(options && options.params && options.params.phi) { + options.params.lambda = options.params.phi; + delete options.params.phi; + } + }; break; + } + } + */ + var external = self.circuit.customGates[gateName]; + if(external) { + customGate.registerGate(gateName, JSON.parse(JSON.stringify(external))); } + + customGate.addGate(gateName, -1, wires, options); } -*/ - var external = self.circuit.customGates[gateName]; - if(external) { - customGate.registerGate(gateName, JSON.parse(JSON.stringify(external))); - } + }); + } - customGate.addGate(gateName, -1, wires, options); - } - }); + this.circuit.registerGate(customGateName, customGate.save(false)); } - - this.circuit.registerGate(customGateName, customGate.save(false)); - } -}; + }; // Exit a parse tree produced by QASMParser#statement. -QCQASMListener.prototype.exitStatement = function(ctx) { -}; + exitStatement = function(ctx) { + }; // Enter a parse tree produced by QASMParser#version. -QCQASMListener.prototype.enterVersion = function(ctx) { -}; + enterVersion = function(ctx) { + }; // Exit a parse tree produced by QASMParser#version. -QCQASMListener.prototype.exitVersion = function(ctx) { -}; + exitVersion = function(ctx) { + }; // Enter a parse tree produced by QASMParser#decl. -QCQASMListener.prototype.enterDecl = function(ctx) { - switch(ctx.getChild(0).getText()) { - case "qreg": this.qregMap[ctx.getChild(1).getText()] = parseInt(ctx.getChild(3).getText()); break; - case "creg": this.circuit.createCreg(ctx.getChild(1).getText(), parseInt(ctx.getChild(3).getText())); break; - } -}; + enterDecl = function(ctx) { + switch(ctx.getChild(0).getText()) { + case "qreg": this.qregMap[ctx.getChild(1).getText()] = parseInt(ctx.getChild(3).getText()); break; + case "creg": this.circuit.createCreg(ctx.getChild(1).getText(), parseInt(ctx.getChild(3).getText())); break; + } + }; // Exit a parse tree produced by QASMParser#decl. -QCQASMListener.prototype.exitDecl = function(ctx) { -}; + exitDecl = function(ctx) { + }; // Enter a parse tree produced by QASMParser#gatedecl. -QCQASMListener.prototype.enterGatedecl = function(ctx) { -}; + enterGatedecl = function(ctx) { + }; // Exit a parse tree produced by QASMParser#gatedecl. -QCQASMListener.prototype.exitGatedecl = function(ctx) { -}; + exitGatedecl = function(ctx) { + }; // Enter a parse tree produced by QASMParser#goplist. -QCQASMListener.prototype.enterGoplist = function(ctx) { -}; + enterGoplist = function(ctx) { + }; // Exit a parse tree produced by QASMParser#goplist. -QCQASMListener.prototype.exitGoplist = function(ctx) { -}; + exitGoplist = function(ctx) { + }; // Enter a parse tree produced by QASMParser#qop. -QCQASMListener.prototype.enterQop = function(ctx) { - var self = this; - var condition = JSON.parse(JSON.stringify(this.condition)); - this.condition = {}; - - var name = ctx.getChildCount() ? ctx.getChild(0).getText() : ""; - - if(name == "reset") { - var qreg = ""; - var qbit = -1; - var count = ctx.argument().length; - for(var i = 0; i < count; i++) { - var arg = ctx.argument()[i]; - if(i == 0) { - qreg = arg.ID().getText(); - qbit = arg.INT() ? parseInt(arg.INT().getText()) : -1; - } - } - - if(qreg) { - var numBits = self.qregLen(qreg); - if(qbit < 0) { - // - // argument is entire register - // - for(var x = 0; x < numBits; x++) { - self.circuit.addGate("reset", -1, x + self.qregBase(qreg), { condition: condition || {} } ); + enterQop = function(ctx) { + var self = this; + var condition = JSON.parse(JSON.stringify(this.condition)); + this.condition = {}; + + var name = ctx.getChildCount() ? ctx.getChild(0).getText() : ""; + + if(name == "reset") { + var qreg = ""; + var qbit = -1; + var count = ctx.argument().length; + for(var i = 0; i < count; i++) { + var arg = ctx.argument()[i]; + if(i == 0) { + qreg = arg.ID().getText(); + qbit = arg.INT() ? parseInt(arg.INT().getText()) : -1; } - - } else { - // - // both arguments are single bits - // - self.circuit.addGate("reset", -1, qbit + self.qregBase(qreg), { condition: condition || {} } ); } - } - } - if(name == "measure") { - var qreg = ""; - var qbit = -1; - var creg = ""; - var cbit = -1; - var count = ctx.argument().length; - for(var i = 0; i < count; i++) { - var arg = ctx.argument()[i]; - if(i == 0) { - qreg = arg.ID().getText(); - qbit = arg.INT() ? parseInt(arg.INT().getText()) : -1; - } - if(i == 1) { - creg = arg.ID().getText(); - cbit = arg.INT() ? parseInt(arg.INT().getText()) : -1; + if(qreg) { + var numBits = self.qregLen(qreg); + if(qbit < 0) { + // + // argument is entire register + // + for(var x = 0; x < numBits; x++) { + self.circuit.addGate("reset", -1, x + self.qregBase(qreg), { condition: condition || {} } ); + } + + } else { + // + // both arguments are single bits + // + self.circuit.addGate("reset", -1, qbit + self.qregBase(qreg), { condition: condition || {} } ); + } } } - if(qreg && creg) { - var numBits = self.qregLen(qreg); - if(qbit < 0 && cbit < 0) { - // - // both arguments are entire registers - // - for(var x = 0; x < numBits; x++) { - self.circuit.addGate("measure", -1, x + self.qregBase(qreg), { creg: { name: creg, bit: x }, condition: condition || {} } ); + if(name == "measure") { + var qreg = ""; + var qbit = -1; + var creg = ""; + var cbit = -1; + var count = ctx.argument().length; + for(var i = 0; i < count; i++) { + var arg = ctx.argument()[i]; + if(i == 0) { + qreg = arg.ID().getText(); + qbit = arg.INT() ? parseInt(arg.INT().getText()) : -1; + } + if(i == 1) { + creg = arg.ID().getText(); + cbit = arg.INT() ? parseInt(arg.INT().getText()) : -1; } + } - } else { - if(qbit >= 0 && cbit >= 0) { + if(qreg && creg) { + var numBits = self.qregLen(qreg); + if(qbit < 0 && cbit < 0) { // - // both arguments are single bits + // both arguments are entire registers // - self.circuit.addGate("measure", -1, qbit + self.qregBase(qreg), { creg: { name: creg, bit: cbit }, condition: condition || {} } ); + for(var x = 0; x < numBits; x++) { + self.circuit.addGate("measure", -1, x + self.qregBase(qreg), { creg: { name: creg, bit: x }, condition: condition || {} } ); + } + } else { - if(qbit >= 0 && cbit < 0) { + if(qbit >= 0 && cbit >= 0) { // - // qbit is single, creg is entire register + // both arguments are single bits // - for(var x = 0; x < numBits; x++) { - self.circuit.addGate("measure", -1, qbit + self.qregBase(qreg), { creg: { name: creg, bit: x }, condition: condition || {} } ); - } + self.circuit.addGate("measure", -1, qbit + self.qregBase(qreg), { creg: { name: creg, bit: cbit }, condition: condition || {} } ); } else { - // - // qbit is entire register, creg is single bit - // - for(var x = 0; x < numBits; x++) { - self.circuit.addGate("measure", -1, x + self.qregBase(qreg), { creg: { name: creg, bit: cbit }, condition: condition || {} } ); - } + if(qbit >= 0 && cbit < 0) { + // + // qbit is single, creg is entire register + // + for(var x = 0; x < numBits; x++) { + self.circuit.addGate("measure", -1, qbit + self.qregBase(qreg), { creg: { name: creg, bit: x }, condition: condition || {} } ); + } + } else { + // + // qbit is entire register, creg is single bit + // + for(var x = 0; x < numBits; x++) { + self.circuit.addGate("measure", -1, x + self.qregBase(qreg), { creg: { name: creg, bit: cbit }, condition: condition || {} } ); + } + } } } } } - } - - var uop = ctx.uop(); - if(uop && uop.ID()) { - var gateName = uop.ID().getText(); - var idlist = uop.anylist() ? uop.anylist().idlist() : null; - var mixedlist = uop.anylist() ? uop.anylist().mixedlist() : null; - var explist = uop.explist(); - switch(gateName) { - case "CX": gateName = "cx"; break; - case "U": gateName = "u3"; break; - } + var uop = ctx.uop(); + if(uop && uop.ID()) { + var gateName = uop.ID().getText(); + var idlist = uop.anylist() ? uop.anylist().idlist() : null; + var mixedlist = uop.anylist() ? uop.anylist().mixedlist() : null; + var explist = uop.explist(); - if(!self.circuit.basicGates[gateName] && !self.circuit.customGates[gateName]) { - // find gate by qasm name - for(var tmpName in self.circuit.basicGates) { - var tmpDef = self.circuit.basicGates[tmpName]; - if(tmpDef.exportInfo && tmpDef.exportInfo.qasm && tmpDef.exportInfo.qasm.name && tmpDef.exportInfo.qasm.name == gateName) { - gateName = tmpName; - break; - } - // newer versions of qiskit exports to qasm with gate names undefined by qasm 2.0 definition... - if(tmpDef.exportInfo && tmpDef.exportInfo.qiskit && tmpDef.exportInfo.qiskit.name && tmpDef.exportInfo.qiskit.name == gateName) { - gateName = tmpName; - break; - } + switch(gateName) { + case "CX": gateName = "cx"; break; + case "U": gateName = "u3"; break; } - } - var params = {}; - if(explist && explist.exp()) { - var gateDef = self.circuit.basicGates[gateName]; - if(!gateDef) { - gateDef = self.circuit.customGates[gateName]; - } - if(gateDef) { - var paramList = explist.exp(); - var paramDef = gateDef.params || []; - paramList.map(function(paramItem, paramIndex) { - var paramValue = paramItem.getText(); - var paramName = paramDef.length >= paramIndex ? paramDef[paramIndex] : ""; - if(paramName) { - params[paramName] = paramValue; + if(!self.circuit.basicGates[gateName] && !self.circuit.customGates[gateName]) { + // find gate by qasm name + for(var tmpName in self.circuit.basicGates) { + var tmpDef = self.circuit.basicGates[tmpName]; + if(tmpDef.exportInfo && tmpDef.exportInfo.qasm && tmpDef.exportInfo.qasm.name && tmpDef.exportInfo.qasm.name == gateName) { + gateName = tmpName; + break; } - }); + // newer versions of qiskit exports to qasm with gate names undefined by qasm 2.0 definition... + if(tmpDef.exportInfo && tmpDef.exportInfo.qiskit && tmpDef.exportInfo.qiskit.name && tmpDef.exportInfo.qiskit.name == gateName) { + gateName = tmpName; + break; + } + } } - } - var options = { params: params, condition: condition || {} }; - - if(idlist) { - // - // arguments are entire registers - // example: cx q,r; - // - var numBits = self.qregLen(idlist.ID()[0].getText()); - for(var x = 0; x < numBits; x++) { - var args = []; - var count = idlist.ID().length; - for(var i = 0; i < count; i++) { - args.push({ reg: idlist.ID()[i].getText(), bit: x }); + var params = {}; + if(explist && explist.exp()) { + var gateDef = self.circuit.basicGates[gateName]; + if(!gateDef) { + gateDef = self.circuit.customGates[gateName]; } - - var wires = []; - args.map(function(a) { - wires.push(a.bit + self.qregBase(a.reg)); - }); -/* - if(!self.compatibilityMode) { - switch(gateName) { - case "rz": { - gateName = "u1"; - if(options && options.params && options.params.phi) { - options.params.lambda = options.params.phi; - delete options.params.phi; - } - }; break; - } + if(gateDef) { + var paramList = explist.exp(); + var paramDef = gateDef.params || []; + paramList.map(function(paramItem, paramIndex) { + var paramValue = paramItem.getText(); + var paramName = paramDef.length >= paramIndex ? paramDef[paramIndex] : ""; + if(paramName) { + params[paramName] = paramValue; + } + }); } -*/ - self.circuit.addGate(gateName, -1, wires, options); } - } - // arguments are qbits or mixed - if(mixedlist) { - if(mixedlist.ID().length != mixedlist.INT().length) { - // - // TODO: mixed qbits and entire registers - // example: cx q,r[0]; - // - } else { + var options = { params: params, condition: condition || {} }; + + if(idlist) { // - // qbits, for example: cx q[0],r[0]; + // arguments are entire registers + // example: cx q,r; // - var args = []; - var count = mixedlist.ID().length; - for(var i = 0; i < count; i++) { - args.push({ reg: mixedlist.ID()[i].getText(), bit: parseInt(mixedlist.INT()[i].getText()) }); + var numBits = self.qregLen(idlist.ID()[0].getText()); + for(var x = 0; x < numBits; x++) { + var args = []; + var count = idlist.ID().length; + for(var i = 0; i < count; i++) { + args.push({ reg: idlist.ID()[i].getText(), bit: x }); + } + + var wires = []; + args.map(function(a) { + wires.push(a.bit + self.qregBase(a.reg)); + }); + /* + if(!self.compatibilityMode) { + switch(gateName) { + case "rz": { + gateName = "u1"; + if(options && options.params && options.params.phi) { + options.params.lambda = options.params.phi; + delete options.params.phi; + } + }; break; + } + } + */ + self.circuit.addGate(gateName, -1, wires, options); } + } - var wires = []; - args.map(function(a) { - wires.push(a.bit + self.qregBase(a.reg)); - }); -/* - if(!self.compatibilityMode) { - switch(gateName) { - case "rz": { - gateName = "u1"; - if(options && options.params && options.params.phi) { - options.params.lambda = options.params.phi; - delete options.params.phi; - } - }; break; + // arguments are qbits or mixed + if(mixedlist) { + if(mixedlist.ID().length != mixedlist.INT().length) { + // + // TODO: mixed qbits and entire registers + // example: cx q,r[0]; + // + } else { + // + // qbits, for example: cx q[0],r[0]; + // + var args = []; + var count = mixedlist.ID().length; + for(var i = 0; i < count; i++) { + args.push({ reg: mixedlist.ID()[i].getText(), bit: parseInt(mixedlist.INT()[i].getText()) }); } + + var wires = []; + args.map(function(a) { + wires.push(a.bit + self.qregBase(a.reg)); + }); + /* + if(!self.compatibilityMode) { + switch(gateName) { + case "rz": { + gateName = "u1"; + if(options && options.params && options.params.phi) { + options.params.lambda = options.params.phi; + delete options.params.phi; + } + }; break; + } + } + */ + self.circuit.addGate(gateName, -1, wires, options); } -*/ - self.circuit.addGate(gateName, -1, wires, options); } } - } -}; + }; // Exit a parse tree produced by QASMParser#qop. -QCQASMListener.prototype.exitQop = function(ctx) { -}; - + exitQop = function(ctx) {}; // Enter a parse tree produced by QASMParser#uop. -QCQASMListener.prototype.enterUop = function(ctx) { -}; + enterUop = function(ctx) {}; // Exit a parse tree produced by QASMParser#uop. -QCQASMListener.prototype.exitUop = function(ctx) { -}; - + exitUop = function(ctx) {}; // Enter a parse tree produced by QASMParser#anylist. -QCQASMListener.prototype.enterAnylist = function(ctx) { -}; + enterAnylist = function(ctx) {}; // Exit a parse tree produced by QASMParser#anylist. -QCQASMListener.prototype.exitAnylist = function(ctx) { -}; + exitAnylist = function(ctx) {}; // Enter a parse tree produced by QASMParser#idlist. -QCQASMListener.prototype.enterIdlist = function(ctx) { -}; + enterIdlist = function(ctx) {}; // Exit a parse tree produced by QASMParser#idlist. -QCQASMListener.prototype.exitIdlist = function(ctx) { -}; + exitIdlist = function(ctx) {}; // Enter a parse tree produced by QASMParser#mixedlist. -QCQASMListener.prototype.enterMixedlist = function(ctx) { -}; + enterMixedlist = function(ctx) {}; // Exit a parse tree produced by QASMParser#mixedlist. -QCQASMListener.prototype.exitMixedlist = function(ctx) { -}; + exitMixedlist = function(ctx) {}; // Enter a parse tree produced by QASMParser#argument. -QCQASMListener.prototype.enterArgument = function(ctx) { -}; + enterArgument = function(ctx) {}; // Exit a parse tree produced by QASMParser#argument. -QCQASMListener.prototype.exitArgument = function(ctx) { -}; + exitArgument = function(ctx) {}; // Enter a parse tree produced by QASMParser#explist. -QCQASMListener.prototype.enterExplist = function(ctx) { -}; + enterExplist = function(ctx) {}; // Exit a parse tree produced by QASMParser#explist. -QCQASMListener.prototype.exitExplist = function(ctx) { -}; + exitExplist = function(ctx) {}; // Enter a parse tree produced by QASMParser#exp. -QCQASMListener.prototype.enterExp = function(ctx) { -}; + enterExp = function(ctx) {}; // Exit a parse tree produced by QASMParser#exp. -QCQASMListener.prototype.exitExp = function(ctx) { -}; + exitExp = function(ctx) {}; // Enter a parse tree produced by QASMParser#unaryop. -QCQASMListener.prototype.enterUnaryop = function(ctx) { -}; + enterUnaryop = function(ctx) {}; // Exit a parse tree produced by QASMParser#unaryop. -QCQASMListener.prototype.exitUnaryop = function(ctx) { -}; + exitUnaryop = function(ctx) {}; +} + +export const QASMImport = function QASMImport(circuit, input, errorCallback, compatibilityMode) { + var chars = new InputStream(input); + var lexer = new QASMLexer(chars); + var tokens = new CommonTokenStream(lexer); + var parser = new QASMParser(tokens); + parser.buildParseTrees = true; + + parser.removeErrorListeners(); + var errors = []; + var errorListener = new ErrorListener(errors); + parser.addErrorListener(errorListener); -module.exports = QASMImport; + var tree = parser.mainprog(); + var QASM = new QCQASMListener(circuit, compatibilityMode); + ParseTreeWalker.DEFAULT.walk(QASM, tree); + if(errorCallback) { + errorCallback(errors); + } +}; diff --git a/lib/qasm_import/QASMLexer.js b/lib/qasm_import/QASMLexer.js index 8b392f0..b399622 100644 --- a/lib/qasm_import/QASMLexer.js +++ b/lib/qasm_import/QASMLexer.js @@ -1,6 +1,6 @@ // Generated from QASM.g4 by ANTLR 4.7.1 // jshint ignore: start -var antlr4 = require('antlr4/index'); +import {ATNDeserializer, DFA, Lexer, LexerATNSimulator, PredictionContextCache, Token} from "antlr4"; var serializedATN = ["\u0003\u608b\ua72a\u8133\ub9ed\u417c\u3be7\u7786\u5964", @@ -187,18 +187,51 @@ var serializedATN = ["\u0003\u608b\ua72a\u8133\ub9ed\u417c\u3be7\u7786\u5964", "\u00ff\u0107\u0111\u011f\u0003\b\u0002\u0002"].join(""); -var atn = new antlr4.atn.ATNDeserializer().deserialize(serializedATN); +var atn = new ATNDeserializer().deserialize(serializedATN); -var decisionsToDFA = atn.decisionToState.map( function(ds, index) { return new antlr4.dfa.DFA(ds, index); }); +var decisionsToDFA = atn.decisionToState.map( function(ds, index) { return new DFA(ds, index); }); -function QASMLexer(input) { - antlr4.Lexer.call(this, input); - this._interp = new antlr4.atn.LexerATNSimulator(this, atn, decisionsToDFA, new antlr4.PredictionContextCache()); - return this; -} +export class QASMLexer extends Lexer { + constructor(input) { + super(input); + this._interp = new LexerATNSimulator(this, atn, decisionsToDFA, new PredictionContextCache()); + } + + channelNames = [ "DEFAULT_TOKEN_CHANNEL", "HIDDEN" ]; + + modeNames = [ "DEFAULT_MODE" ]; + + literalNames = [ null, "'}'", "'opaque'", "';'", "'('", + "')'", "'if'", "'=='", "'barrier'", + "'OPENQASM'", "'include'", "'qreg'", + "'['", "']'", "'creg'", "'gate'", "'{'", + "'measure'", "'->'", "'reset'", "'U'", + "'CX'", "','", "'^'", "'*'", "'/'", + "'+'", "'-'", "'sin'", "'cos'", "'tan'", + "'exp'", "'ln'", "'sqrt'", "'pi'" ]; + + symbolicNames = [ null, null, null, null, null, null, + null, null, null, null, null, null, + null, null, null, null, null, null, + null, null, null, null, null, null, + null, null, null, null, null, null, + null, null, null, null, "PI", "REAL", + "SUBREAL", "EXPREAL", "INT", "ID", + "WS", "FILENAME", "COMMENT", "LINE_COMMENT" ]; -QASMLexer.prototype = Object.create(antlr4.Lexer.prototype); -QASMLexer.prototype.constructor = QASMLexer; + ruleNames = [ "T__0", "T__1", "T__2", "T__3", "T__4", + "T__5", "T__6", "T__7", "T__8", "T__9", + "T__10", "T__11", "T__12", "T__13", "T__14", + "T__15", "T__16", "T__17", "T__18", "T__19", + "T__20", "T__21", "T__22", "T__23", "T__24", + "T__25", "T__26", "T__27", "T__28", "T__29", + "T__30", "T__31", "T__32", "PI", "REAL", + "SUBREAL", "EXPREAL", "INT", "ID", "WS", + "FILENAME", "COMMENT", "LINE_COMMENT" ]; + + grammarFileName = "QASM.g4"; + +} Object.defineProperty(QASMLexer.prototype, "atn", { get : function() { @@ -206,7 +239,7 @@ Object.defineProperty(QASMLexer.prototype, "atn", { } }); -QASMLexer.EOF = antlr4.Token.EOF; +QASMLexer.EOF = Token.EOF; QASMLexer.T__0 = 1; QASMLexer.T__1 = 2; QASMLexer.T__2 = 3; @@ -251,41 +284,3 @@ QASMLexer.FILENAME = 41; QASMLexer.COMMENT = 42; QASMLexer.LINE_COMMENT = 43; -QASMLexer.prototype.channelNames = [ "DEFAULT_TOKEN_CHANNEL", "HIDDEN" ]; - -QASMLexer.prototype.modeNames = [ "DEFAULT_MODE" ]; - -QASMLexer.prototype.literalNames = [ null, "'}'", "'opaque'", "';'", "'('", - "')'", "'if'", "'=='", "'barrier'", - "'OPENQASM'", "'include'", "'qreg'", - "'['", "']'", "'creg'", "'gate'", "'{'", - "'measure'", "'->'", "'reset'", "'U'", - "'CX'", "','", "'^'", "'*'", "'/'", - "'+'", "'-'", "'sin'", "'cos'", "'tan'", - "'exp'", "'ln'", "'sqrt'", "'pi'" ]; - -QASMLexer.prototype.symbolicNames = [ null, null, null, null, null, null, - null, null, null, null, null, null, - null, null, null, null, null, null, - null, null, null, null, null, null, - null, null, null, null, null, null, - null, null, null, null, "PI", "REAL", - "SUBREAL", "EXPREAL", "INT", "ID", - "WS", "FILENAME", "COMMENT", "LINE_COMMENT" ]; - -QASMLexer.prototype.ruleNames = [ "T__0", "T__1", "T__2", "T__3", "T__4", - "T__5", "T__6", "T__7", "T__8", "T__9", - "T__10", "T__11", "T__12", "T__13", "T__14", - "T__15", "T__16", "T__17", "T__18", "T__19", - "T__20", "T__21", "T__22", "T__23", "T__24", - "T__25", "T__26", "T__27", "T__28", "T__29", - "T__30", "T__31", "T__32", "PI", "REAL", - "SUBREAL", "EXPREAL", "INT", "ID", "WS", - "FILENAME", "COMMENT", "LINE_COMMENT" ]; - -QASMLexer.prototype.grammarFileName = "QASM.g4"; - - - -exports.QASMLexer = QASMLexer; - diff --git a/lib/qasm_import/QASMListener.js b/lib/qasm_import/QASMListener.js index ad2ada2..5c5958d 100644 --- a/lib/qasm_import/QASMListener.js +++ b/lib/qasm_import/QASMListener.js @@ -1,177 +1,141 @@ // Generated from QASM.g4 by ANTLR 4.7.1 // jshint ignore: start -var antlr4 = require('antlr4/index'); +import {ParseTreeListener} from "antlr4"; // This class defines a complete listener for a parse tree produced by QASMParser. -function QASMListener() { - antlr4.tree.ParseTreeListener.call(this); - return this; -} - -QASMListener.prototype = Object.create(antlr4.tree.ParseTreeListener.prototype); -QASMListener.prototype.constructor = QASMListener; +export class QASMListener extends ParseTreeListener { + constructor() { + super(); + } -// Enter a parse tree produced by QASMParser#mainprog. -QASMListener.prototype.enterMainprog = function(ctx) { -}; + enterMainprog = function(ctx) { + }; // Exit a parse tree produced by QASMParser#mainprog. -QASMListener.prototype.exitMainprog = function(ctx) { -}; + exitMainprog = function(ctx) { + }; // Enter a parse tree produced by QASMParser#statement. -QASMListener.prototype.enterStatement = function(ctx) { -}; + enterStatement = function(ctx) { + }; // Exit a parse tree produced by QASMParser#statement. -QASMListener.prototype.exitStatement = function(ctx) { -}; + exitStatement = function(ctx) { + }; // Enter a parse tree produced by QASMParser#version. -QASMListener.prototype.enterVersion = function(ctx) { -}; + enterVersion = function(ctx) { + }; // Exit a parse tree produced by QASMParser#version. -QASMListener.prototype.exitVersion = function(ctx) { -}; + exitVersion = function(ctx) { + }; // Enter a parse tree produced by QASMParser#include. -QASMListener.prototype.enterInclude = function(ctx) { -}; + enterInclude = function(ctx) { + }; // Exit a parse tree produced by QASMParser#include. -QASMListener.prototype.exitInclude = function(ctx) { -}; + exitInclude = function(ctx) { + }; // Enter a parse tree produced by QASMParser#filename. -QASMListener.prototype.enterFilename = function(ctx) { -}; + enterFilename = function(ctx) { + }; // Exit a parse tree produced by QASMParser#filename. -QASMListener.prototype.exitFilename = function(ctx) { -}; + exitFilename = function(ctx) { + }; // Enter a parse tree produced by QASMParser#decl. -QASMListener.prototype.enterDecl = function(ctx) { -}; + enterDecl = function(ctx) { + }; // Exit a parse tree produced by QASMParser#decl. -QASMListener.prototype.exitDecl = function(ctx) { -}; + exitDecl = function(ctx) {}; // Enter a parse tree produced by QASMParser#gatedecl. -QASMListener.prototype.enterGatedecl = function(ctx) { -}; + enterGatedecl = function(ctx) {}; // Exit a parse tree produced by QASMParser#gatedecl. -QASMListener.prototype.exitGatedecl = function(ctx) { -}; - + exitGatedecl = function(ctx) {}; // Enter a parse tree produced by QASMParser#goplist. -QASMListener.prototype.enterGoplist = function(ctx) { -}; + enterGoplist = function(ctx) {}; // Exit a parse tree produced by QASMParser#goplist. -QASMListener.prototype.exitGoplist = function(ctx) { -}; + exitGoplist = function(ctx) {}; // Enter a parse tree produced by QASMParser#qop. -QASMListener.prototype.enterQop = function(ctx) { -}; + enterQop = function(ctx) {}; // Exit a parse tree produced by QASMParser#qop. -QASMListener.prototype.exitQop = function(ctx) { -}; + exitQop = function(ctx) {}; // Enter a parse tree produced by QASMParser#uop. -QASMListener.prototype.enterUop = function(ctx) { -}; + enterUop = function(ctx) {}; // Exit a parse tree produced by QASMParser#uop. -QASMListener.prototype.exitUop = function(ctx) { -}; + exitUop = function(ctx) {}; // Enter a parse tree produced by QASMParser#anylist. -QASMListener.prototype.enterAnylist = function(ctx) { -}; + enterAnylist = function(ctx) {}; // Exit a parse tree produced by QASMParser#anylist. -QASMListener.prototype.exitAnylist = function(ctx) { -}; + exitAnylist = function(ctx) {}; // Enter a parse tree produced by QASMParser#idlist. -QASMListener.prototype.enterIdlist = function(ctx) { -}; + enterIdlist = function(ctx) {}; // Exit a parse tree produced by QASMParser#idlist. -QASMListener.prototype.exitIdlist = function(ctx) { -}; + exitIdlist = function(ctx) {}; // Enter a parse tree produced by QASMParser#mixedlist. -QASMListener.prototype.enterMixedlist = function(ctx) { -}; + enterMixedlist = function(ctx) {}; // Exit a parse tree produced by QASMParser#mixedlist. -QASMListener.prototype.exitMixedlist = function(ctx) { -}; + exitMixedlist = function(ctx) {}; // Enter a parse tree produced by QASMParser#argument. -QASMListener.prototype.enterArgument = function(ctx) { -}; + enterArgument = function(ctx) {}; // Exit a parse tree produced by QASMParser#argument. -QASMListener.prototype.exitArgument = function(ctx) { -}; + exitArgument = function(ctx) {}; // Enter a parse tree produced by QASMParser#explist. -QASMListener.prototype.enterExplist = function(ctx) { -}; + enterExplist = function(ctx) {}; // Exit a parse tree produced by QASMParser#explist. -QASMListener.prototype.exitExplist = function(ctx) { -}; - + exitExplist = function(ctx) {}; // Enter a parse tree produced by QASMParser#exp. -QASMListener.prototype.enterExp = function(ctx) { -}; + enterExp = function(ctx) {}; // Exit a parse tree produced by QASMParser#exp. -QASMListener.prototype.exitExp = function(ctx) { -}; - + exitExp = function(ctx) {}; // Enter a parse tree produced by QASMParser#atom. -QASMListener.prototype.enterAtom = function(ctx) { -}; + enterAtom = function(ctx) {}; // Exit a parse tree produced by QASMParser#atom. -QASMListener.prototype.exitAtom = function(ctx) { -}; - + exitAtom = function(ctx) {}; // Enter a parse tree produced by QASMParser#unaryop. -QASMListener.prototype.enterUnaryop = function(ctx) { -}; + enterUnaryop = function(ctx) {}; // Exit a parse tree produced by QASMParser#unaryop. -QASMListener.prototype.exitUnaryop = function(ctx) { -}; - - - -exports.QASMListener = QASMListener; \ No newline at end of file + exitUnaryop = function(ctx) {}; +} diff --git a/lib/qasm_import/QASMParser.js b/lib/qasm_import/QASMParser.js index 3a2b0d2..9dc7031 100644 --- a/lib/qasm_import/QASMParser.js +++ b/lib/qasm_import/QASMParser.js @@ -1,8 +1,16 @@ // Generated from QASM.g4 by ANTLR 4.7.1 // jshint ignore: start -var antlr4 = require('antlr4/index'); -var QASMListener = require('./QASMListener').QASMListener; -var grammarFileName = "QASM.g4"; + +import { + ATN, + ATNDeserializer, + DFA, Parser, + ParserATNSimulator, + ParserRuleContext, + PredictionContextCache, + RecognitionException, Token +} from "antlr4"; +import {QASMListener} from "./QASMListener.js"; var serializedATN = ["\u0003\u608b\ua72a\u8133\ub9ed\u417c\u3be7\u7786\u5964", "\u0003-\u0130\u0004\u0002\t\u0002\u0004\u0003\t\u0003\u0004\u0004\t", @@ -205,42 +213,456 @@ var serializedATN = ["\u0003\u608b\ua72a\u8133\ub9ed\u417c\u3be7\u7786\u5964", "\u0109\u0110\u0118\u011b\u0126\u0128"].join(""); -var atn = new antlr4.atn.ATNDeserializer().deserialize(serializedATN); +var atn = new ATNDeserializer().deserialize(serializedATN); -var decisionsToDFA = atn.decisionToState.map( function(ds, index) { return new antlr4.dfa.DFA(ds, index); }); +var decisionsToDFA = atn.decisionToState.map( function(ds, index) { return new DFA(ds, index); }); -var sharedContextCache = new antlr4.PredictionContextCache(); +var sharedContextCache = new PredictionContextCache(); -var literalNames = [ null, "'}'", "'opaque'", "';'", "'('", "')'", "'if'", - "'=='", "'barrier'", "'OPENQASM'", "'include'", "'qreg'", - "'['", "']'", "'creg'", "'gate'", "'{'", "'measure'", - "'->'", "'reset'", "'U'", "'CX'", "','", "'^'", "'*'", - "'/'", "'+'", "'-'", "'sin'", "'cos'", "'tan'", "'exp'", +var literalNames = [ null, "'}'", "'opaque'", "';'", "'('", "')'", "'if'", + "'=='", "'barrier'", "'OPENQASM'", "'include'", "'qreg'", + "'['", "']'", "'creg'", "'gate'", "'{'", "'measure'", + "'->'", "'reset'", "'U'", "'CX'", "','", "'^'", "'*'", + "'/'", "'+'", "'-'", "'sin'", "'cos'", "'tan'", "'exp'", "'ln'", "'sqrt'", "'pi'" ]; -var symbolicNames = [ null, null, null, null, null, null, null, null, null, - null, null, null, null, null, null, null, null, null, - null, null, null, null, null, null, null, null, null, - null, null, null, null, null, null, null, "PI", "REAL", - "SUBREAL", "EXPREAL", "INT", "ID", "WS", "FILENAME", +var symbolicNames = [ null, null, null, null, null, null, null, null, null, + null, null, null, null, null, null, null, null, null, + null, null, null, null, null, null, null, null, null, + null, null, null, null, null, null, null, "PI", "REAL", + "SUBREAL", "EXPREAL", "INT", "ID", "WS", "FILENAME", "COMMENT", "LINE_COMMENT" ]; -var ruleNames = [ "mainprog", "statement", "version", "include", "filename", - "decl", "gatedecl", "goplist", "qop", "uop", "anylist", - "idlist", "mixedlist", "argument", "explist", "exp", +var ruleNames = [ "mainprog", "statement", "version", "include", "filename", + "decl", "gatedecl", "goplist", "qop", "uop", "anylist", + "idlist", "mixedlist", "argument", "explist", "exp", "atom", "unaryop" ]; -function QASMParser (input) { - antlr4.Parser.call(this, input); - this._interp = new antlr4.atn.ParserATNSimulator(this, atn, decisionsToDFA, sharedContextCache); - this.ruleNames = ruleNames; - this.literalNames = literalNames; - this.symbolicNames = symbolicNames; - return this; -} +export class QASMParser extends Parser { + constructor(input) { + super(input); + this._interp = new ParserATNSimulator(this, atn, decisionsToDFA, sharedContextCache); + this.ruleNames = ruleNames; + this.literalNames = literalNames; + this.symbolicNames = symbolicNames; + } + + unaryop = function() { + + var localctx = new UnaryopContext(this, this._ctx, this.state); + this.enterRule(localctx, 34, QASMParser.RULE_unaryop); + var _la = 0; // Token type + try { + this.enterOuterAlt(localctx, 1); + this.state = 299; + _la = this._input.LA(1); + if(!(((((_la - 28)) & ~0x1f) == 0 && ((1 << (_la - 28)) & ((1 << (QASMParser.T__27 - 28)) | (1 << (QASMParser.T__28 - 28)) | (1 << (QASMParser.T__29 - 28)) | (1 << (QASMParser.T__30 - 28)) | (1 << (QASMParser.T__31 - 28)) | (1 << (QASMParser.T__32 - 28)))) !== 0))) { + this._errHandler.recoverInline(this); + } + else { + this._errHandler.reportMatch(this); + this.consume(); + } + } catch (re) { + if(re instanceof RecognitionException) { + localctx.exception = re; + this._errHandler.reportError(this, re); + this._errHandler.recover(this, re); + } else { + throw re; + } + } finally { + this.exitRule(); + } + return localctx; + }; + + + sempred = function(localctx, ruleIndex, predIndex) { + switch(ruleIndex) { + case 15: + return this.exp_sempred(localctx, predIndex); + default: + throw "No predicate with index:" + ruleIndex; + } + }; + + exp_sempred = function(localctx, predIndex) { + switch(predIndex) { + case 0: + return this.precpred(this._ctx, 6); + case 1: + return this.precpred(this._ctx, 5); + case 2: + return this.precpred(this._ctx, 4); + default: + throw "No predicate with index:" + predIndex; + } + }; + + qop = function() { + var localctx = new QopContext(this, this._ctx, this.state); + this.enterRule(localctx, 16, QASMParser.RULE_qop); + try { + this.state = 152; + this._errHandler.sync(this); + switch(this._input.LA(1)) { + case QASMParser.T__19: + case QASMParser.T__20: + case QASMParser.ID: + this.enterOuterAlt(localctx, 1); + this.state = 141; + this.uop(); + break; + case QASMParser.T__16: + this.enterOuterAlt(localctx, 2); + this.state = 142; + this.match(QASMParser.T__16); + this.state = 143; + this.argument(); + this.state = 144; + this.match(QASMParser.T__17); + this.state = 145; + this.argument(); + this.state = 146; + this.match(QASMParser.T__2); + break; + case QASMParser.T__18: + this.enterOuterAlt(localctx, 3); + this.state = 148; + this.match(QASMParser.T__18); + this.state = 149; + this.argument(); + this.state = 150; + this.match(QASMParser.T__2); + break; + default: + throw new NoViableAltException(this); + } + } catch (re) { + if(re instanceof RecognitionException) { + localctx.exception = re; + this._errHandler.reportError(this, re); + this._errHandler.recover(this, re); + } else { + throw re; + } + } finally { + this.exitRule(); + } + return localctx; + }; + + exp = function(_p) { + if(_p===undefined) { + _p = 0; + } + var _parentctx = this._ctx; + var _parentState = this.state; + var localctx = new ExpContext(this, this._ctx, _parentState); + var _prevctx = localctx; + var _startState = 30; + this.enterRecursionRule(localctx, 30, QASMParser.RULE_exp, _p); + var _la = 0; // Token type + try { + this.enterOuterAlt(localctx, 1); + this.state = 281; + this._errHandler.sync(this); + var la_ = this._interp.adaptivePredict(this._input,20,this._ctx); + switch(la_) { + case 1: + this.state = 263; + this._errHandler.sync(this); + _la = this._input.LA(1); + if(_la===QASMParser.T__25 || _la===QASMParser.T__26) { + this.state = 262; + _la = this._input.LA(1); + if(!(_la===QASMParser.T__25 || _la===QASMParser.T__26)) { + this._errHandler.recoverInline(this); + } + else { + this._errHandler.reportMatch(this); + this.consume(); + } + } + + this.state = 265; + this.match(QASMParser.T__3); + this.state = 266; + this.exp(0); + this.state = 267; + this.match(QASMParser.T__4); + break; + + case 2: + this.state = 270; + this._errHandler.sync(this); + _la = this._input.LA(1); + if(_la===QASMParser.T__25 || _la===QASMParser.T__26) { + this.state = 269; + _la = this._input.LA(1); + if(!(_la===QASMParser.T__25 || _la===QASMParser.T__26)) { + this._errHandler.recoverInline(this); + } + else { + this._errHandler.reportMatch(this); + this.consume(); + } + } + + this.state = 272; + this.unaryop(); + this.state = 273; + this.match(QASMParser.T__3); + this.state = 274; + this.exp(0); + this.state = 275; + this.match(QASMParser.T__4); + break; + + case 3: + this.state = 278; + this._errHandler.sync(this); + _la = this._input.LA(1); + if(_la===QASMParser.T__25 || _la===QASMParser.T__26) { + this.state = 277; + _la = this._input.LA(1); + if(!(_la===QASMParser.T__25 || _la===QASMParser.T__26)) { + this._errHandler.recoverInline(this); + } + else { + this._errHandler.reportMatch(this); + this.consume(); + } + } + + this.state = 280; + this.atom(); + break; + + } + this._ctx.stop = this._input.LT(-1); + this.state = 294; + this._errHandler.sync(this); + var _alt = this._interp.adaptivePredict(this._input,22,this._ctx) + while(_alt!=2 && _alt!=ATN.INVALID_ALT_NUMBER) { + if(_alt===1) { + if(this._parseListeners!==null) { + this.triggerExitRuleEvent(); + } + _prevctx = localctx; + this.state = 292; + this._errHandler.sync(this); + var la_ = this._interp.adaptivePredict(this._input,21,this._ctx); + switch(la_) { + case 1: + localctx = new ExpContext(this, _parentctx, _parentState); + this.pushNewRecursionContext(localctx, _startState, QASMParser.RULE_exp); + this.state = 283; + if (!( this.precpred(this._ctx, 6))) { + throw new FailedPredicateException(this, "this.precpred(this._ctx, 6)"); + } + this.state = 284; + this.match(QASMParser.T__22); + this.state = 285; + this.exp(7); + break; + + case 2: + localctx = new ExpContext(this, _parentctx, _parentState); + this.pushNewRecursionContext(localctx, _startState, QASMParser.RULE_exp); + this.state = 286; + if (!( this.precpred(this._ctx, 5))) { + throw new FailedPredicateException(this, "this.precpred(this._ctx, 5)"); + } + this.state = 287; + _la = this._input.LA(1); + if(!(_la===QASMParser.T__23 || _la===QASMParser.T__24)) { + this._errHandler.recoverInline(this); + } + else { + this._errHandler.reportMatch(this); + this.consume(); + } + this.state = 288; + this.exp(6); + break; + + case 3: + localctx = new ExpContext(this, _parentctx, _parentState); + this.pushNewRecursionContext(localctx, _startState, QASMParser.RULE_exp); + this.state = 289; + if (!( this.precpred(this._ctx, 4))) { + throw new FailedPredicateException(this, "this.precpred(this._ctx, 4)"); + } + this.state = 290; + _la = this._input.LA(1); + if(!(_la===QASMParser.T__25 || _la===QASMParser.T__26)) { + this._errHandler.recoverInline(this); + } + else { + this._errHandler.reportMatch(this); + this.consume(); + } + this.state = 291; + this.exp(5); + break; + + } + } + this.state = 296; + this._errHandler.sync(this); + _alt = this._interp.adaptivePredict(this._input,22,this._ctx); + } + + } catch( error) { + if(error instanceof RecognitionException) { + localctx.exception = error; + this._errHandler.reportError(this, error); + this._errHandler.recover(this, error); + } else { + throw error; + } + } finally { + this.unrollRecursionContexts(_parentctx) + } + return localctx; + }; + + statement = function() { + + var localctx = new StatementContext(this, this._ctx, this.state); + this.enterRule(localctx, 2, QASMParser.RULE_statement); + try { + this.state = 84; + this._errHandler.sync(this); + var la_ = this._interp.adaptivePredict(this._input,1,this._ctx); + switch(la_) { + case 1: + this.enterOuterAlt(localctx, 1); + this.state = 43; + this.decl(); + break; + + case 2: + this.enterOuterAlt(localctx, 2); + this.state = 44; + this.gatedecl(); + this.state = 45; + this.goplist(); + this.state = 46; + this.match(QASMParser.T__0); + break; + + case 3: + this.enterOuterAlt(localctx, 3); + this.state = 48; + this.gatedecl(); + this.state = 49; + this.match(QASMParser.T__0); + break; + + case 4: + this.enterOuterAlt(localctx, 4); + this.state = 51; + this.match(QASMParser.T__1); + this.state = 52; + this.match(QASMParser.ID); + this.state = 53; + this.idlist(); + this.state = 54; + this.match(QASMParser.T__2); + break; + + case 5: + this.enterOuterAlt(localctx, 5); + this.state = 56; + this.match(QASMParser.T__1); + this.state = 57; + this.match(QASMParser.ID); + this.state = 58; + this.match(QASMParser.T__3); + this.state = 59; + this.match(QASMParser.T__4); + this.state = 60; + this.idlist(); + this.state = 61; + this.match(QASMParser.T__2); + break; + + case 6: + this.enterOuterAlt(localctx, 6); + this.state = 63; + this.match(QASMParser.T__1); + this.state = 64; + this.match(QASMParser.ID); + this.state = 65; + this.match(QASMParser.T__3); + this.state = 66; + this.idlist(); + this.state = 67; + this.match(QASMParser.T__4); + this.state = 68; + this.idlist(); + this.state = 69; + this.match(QASMParser.T__2); + break; + + case 7: + this.enterOuterAlt(localctx, 7); + this.state = 71; + this.qop(); + break; + + case 8: + this.enterOuterAlt(localctx, 8); + this.state = 72; + this.match(QASMParser.T__5); + this.state = 73; + this.match(QASMParser.T__3); + this.state = 74; + this.match(QASMParser.ID); + this.state = 75; + this.match(QASMParser.T__6); + this.state = 76; + this.match(QASMParser.INT); + this.state = 77; + this.match(QASMParser.T__4); + this.state = 78; + this.qop(); + break; + + case 9: + this.enterOuterAlt(localctx, 9); + this.state = 79; + this.match(QASMParser.T__7); + this.state = 80; + this.anylist(); + this.state = 81; + this.match(QASMParser.T__2); + break; -QASMParser.prototype = Object.create(antlr4.Parser.prototype); -QASMParser.prototype.constructor = QASMParser; + case 10: + this.enterOuterAlt(localctx, 10); + this.state = 83; + this.include(); + break; + + } + } catch (re) { + if(re instanceof RecognitionException) { + localctx.exception = re; + this._errHandler.reportError(this, re); + this._errHandler.recover(this, re); + } else { + throw re; + } + } finally { + this.exitRule(); + } + return localctx; + }; +} Object.defineProperty(QASMParser.prototype, "atn", { get : function() { @@ -248,7 +670,7 @@ Object.defineProperty(QASMParser.prototype, "atn", { } }); -QASMParser.EOF = antlr4.Token.EOF; +QASMParser.EOF = Token.EOF; QASMParser.T__0 = 1; QASMParser.T__1 = 2; QASMParser.T__2 = 3; @@ -312,56 +734,47 @@ QASMParser.RULE_exp = 15; QASMParser.RULE_atom = 16; QASMParser.RULE_unaryop = 17; -function MainprogContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_mainprog; - return this; -} - -MainprogContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -MainprogContext.prototype.constructor = MainprogContext; - -MainprogContext.prototype.version = function() { - return this.getTypedRuleContext(VersionContext,0); -}; - -MainprogContext.prototype.statement = function(i) { - if(i===undefined) { - i = null; +class MainprogContext extends ParserRuleContext { + constructor(parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.contextType = 'MainprogContext' + this.parser = parser; + this.ruleIndex = QASMParser.RULE_mainprog; } - if(i===null) { - return this.getTypedRuleContexts(StatementContext); - } else { - return this.getTypedRuleContext(StatementContext,i); + version = function() { + return this.getTypedRuleContext(VersionContext,0); + }; + statement = function(i) { + if(i===undefined) { + i = null; + } + if(i===null) { + return this.getTypedRuleContexts(StatementContext); + } else { + return this.getTypedRuleContext(StatementContext,i); + } } -}; - -MainprogContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterMainprog(this); - } -}; - -MainprogContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitMainprog(this); - } -}; - - - + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterMainprog(this); + } + }; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitMainprog(this); + } + }; +} QASMParser.MainprogContext = MainprogContext; QASMParser.prototype.mainprog = function() { - var localctx = new MainprogContext(this, this._ctx, this.state); this.enterRule(localctx, 0, QASMParser.RULE_mainprog); var _la = 0; // Token type @@ -380,7 +793,7 @@ QASMParser.prototype.mainprog = function() { _la = this._input.LA(1); } } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -393,247 +806,110 @@ QASMParser.prototype.mainprog = function() { return localctx; }; -function StatementContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_statement; - return this; -} - -StatementContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -StatementContext.prototype.constructor = StatementContext; - -StatementContext.prototype.decl = function() { - return this.getTypedRuleContext(DeclContext,0); -}; - -StatementContext.prototype.gatedecl = function() { - return this.getTypedRuleContext(GatedeclContext,0); -}; - -StatementContext.prototype.goplist = function() { - return this.getTypedRuleContext(GoplistContext,0); -}; - -StatementContext.prototype.ID = function() { - return this.getToken(QASMParser.ID, 0); -}; - -StatementContext.prototype.idlist = function(i) { - if(i===undefined) { - i = null; - } - if(i===null) { - return this.getTypedRuleContexts(IdlistContext); - } else { - return this.getTypedRuleContext(IdlistContext,i); +class StatementContext extends ParserRuleContext { + constructor(parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState) + this.parser = parser; + this.ruleIndex = QASMParser.RULE_statement; } -}; -StatementContext.prototype.qop = function() { - return this.getTypedRuleContext(QopContext,0); -}; + decl = function() { + return this.getTypedRuleContext(DeclContext,0); + }; -StatementContext.prototype.INT = function() { - return this.getToken(QASMParser.INT, 0); -}; + gatedecl = function() { + return this.getTypedRuleContext(GatedeclContext,0); + }; -StatementContext.prototype.anylist = function() { - return this.getTypedRuleContext(AnylistContext,0); -}; + goplist = function() { + return this.getTypedRuleContext(GoplistContext,0); + }; -StatementContext.prototype.include = function() { - return this.getTypedRuleContext(IncludeContext,0); -}; - -StatementContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterStatement(this); - } -}; - -StatementContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitStatement(this); - } -}; + ID = function() { + return this.getToken(QASMParser.ID, 0); + }; + idlist = function(i) { + if(i===undefined) { + i = null; + } + if(i===null) { + return this.getTypedRuleContexts(IdlistContext); + } else { + return this.getTypedRuleContext(IdlistContext,i); + } + }; + qop = function() { + return this.getTypedRuleContext(QopContext,0); + }; + INT = function() { + return this.getToken(QASMParser.INT, 0); + }; -QASMParser.StatementContext = StatementContext; + anylist = function() { + return this.getTypedRuleContext(AnylistContext,0); + }; -QASMParser.prototype.statement = function() { + include = function() { + return this.getTypedRuleContext(IncludeContext,0); + }; - var localctx = new StatementContext(this, this._ctx, this.state); - this.enterRule(localctx, 2, QASMParser.RULE_statement); - try { - this.state = 84; - this._errHandler.sync(this); - var la_ = this._interp.adaptivePredict(this._input,1,this._ctx); - switch(la_) { - case 1: - this.enterOuterAlt(localctx, 1); - this.state = 43; - this.decl(); - break; - - case 2: - this.enterOuterAlt(localctx, 2); - this.state = 44; - this.gatedecl(); - this.state = 45; - this.goplist(); - this.state = 46; - this.match(QASMParser.T__0); - break; - - case 3: - this.enterOuterAlt(localctx, 3); - this.state = 48; - this.gatedecl(); - this.state = 49; - this.match(QASMParser.T__0); - break; - - case 4: - this.enterOuterAlt(localctx, 4); - this.state = 51; - this.match(QASMParser.T__1); - this.state = 52; - this.match(QASMParser.ID); - this.state = 53; - this.idlist(); - this.state = 54; - this.match(QASMParser.T__2); - break; - - case 5: - this.enterOuterAlt(localctx, 5); - this.state = 56; - this.match(QASMParser.T__1); - this.state = 57; - this.match(QASMParser.ID); - this.state = 58; - this.match(QASMParser.T__3); - this.state = 59; - this.match(QASMParser.T__4); - this.state = 60; - this.idlist(); - this.state = 61; - this.match(QASMParser.T__2); - break; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterStatement(this); + } + }; - case 6: - this.enterOuterAlt(localctx, 6); - this.state = 63; - this.match(QASMParser.T__1); - this.state = 64; - this.match(QASMParser.ID); - this.state = 65; - this.match(QASMParser.T__3); - this.state = 66; - this.idlist(); - this.state = 67; - this.match(QASMParser.T__4); - this.state = 68; - this.idlist(); - this.state = 69; - this.match(QASMParser.T__2); - break; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitStatement(this); + } + }; +} - case 7: - this.enterOuterAlt(localctx, 7); - this.state = 71; - this.qop(); - break; - case 8: - this.enterOuterAlt(localctx, 8); - this.state = 72; - this.match(QASMParser.T__5); - this.state = 73; - this.match(QASMParser.T__3); - this.state = 74; - this.match(QASMParser.ID); - this.state = 75; - this.match(QASMParser.T__6); - this.state = 76; - this.match(QASMParser.INT); - this.state = 77; - this.match(QASMParser.T__4); - this.state = 78; - this.qop(); - break; - case 9: - this.enterOuterAlt(localctx, 9); - this.state = 79; - this.match(QASMParser.T__7); - this.state = 80; - this.anylist(); - this.state = 81; - this.match(QASMParser.T__2); - break; - case 10: - this.enterOuterAlt(localctx, 10); - this.state = 83; - this.include(); - break; +QASMParser.StatementContext = StatementContext; +class VersionContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; } - } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { - localctx.exception = re; - this._errHandler.reportError(this, re); - this._errHandler.recover(this, re); - } else { - throw re; - } - } finally { - this.exitRule(); + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.contextType = 'VersionContext'; + this.parser = parser; + this.ruleIndex = QASMParser.RULE_version; } - return localctx; -}; -function VersionContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_version; - return this; -} - -VersionContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -VersionContext.prototype.constructor = VersionContext; + REAL = function() { + return this.getToken(QASMParser.REAL, 0); + }; -VersionContext.prototype.REAL = function() { - return this.getToken(QASMParser.REAL, 0); -}; - -VersionContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterVersion(this); - } -}; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterVersion(this); + } + }; -VersionContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitVersion(this); - } -}; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitVersion(this); + } + }; +} @@ -653,7 +929,7 @@ QASMParser.prototype.version = function() { this.state = 88; this.match(QASMParser.T__2); } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -666,37 +942,35 @@ QASMParser.prototype.version = function() { return localctx; }; -function IncludeContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_include; - return this; -} - -IncludeContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -IncludeContext.prototype.constructor = IncludeContext; +class IncludeContext extends ParserRuleContext { + constructor(parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_include; + } -IncludeContext.prototype.filename = function() { - return this.getTypedRuleContext(FilenameContext,0); -}; + filename = function() { + return this.getTypedRuleContext(FilenameContext,0); + }; -IncludeContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterInclude(this); - } -}; + enterRule = function(listener) { + if (listener instanceof QASMListener ) { + listener.enterInclude(this); + } + }; -IncludeContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitInclude(this); - } -}; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitInclude(this); + } + }; +} @@ -716,7 +990,7 @@ QASMParser.prototype.include = function() { this.state = 92; this.match(QASMParser.T__2); } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -729,37 +1003,34 @@ QASMParser.prototype.include = function() { return localctx; }; -function FilenameContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_filename; - return this; -} - -FilenameContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -FilenameContext.prototype.constructor = FilenameContext; - -FilenameContext.prototype.FILENAME = function() { - return this.getToken(QASMParser.FILENAME, 0); -}; +class FilenameContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_filename; + } + FILENAME = function() { + return this.getToken(QASMParser.FILENAME, 0); + }; -FilenameContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterFilename(this); - } -}; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterFilename(this); + } + }; -FilenameContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitFilename(this); - } -}; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitFilename(this); + } + }; +} @@ -775,7 +1046,7 @@ QASMParser.prototype.filename = function() { this.state = 94; this.match(QASMParser.FILENAME); } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -788,41 +1059,38 @@ QASMParser.prototype.filename = function() { return localctx; }; -function DeclContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_decl; - return this; -} - -DeclContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -DeclContext.prototype.constructor = DeclContext; - -DeclContext.prototype.ID = function() { - return this.getToken(QASMParser.ID, 0); -}; +class DeclContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if (parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_decl; + } + ID = function() { + return this.getToken(QASMParser.ID, 0); + }; -DeclContext.prototype.INT = function() { - return this.getToken(QASMParser.INT, 0); -}; + INT = function() { + return this.getToken(QASMParser.INT, 0); + }; -DeclContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterDecl(this); - } -}; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterDecl(this); + } + }; -DeclContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitDecl(this); - } -}; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitDecl(this); + } + }; +} @@ -868,10 +1136,10 @@ QASMParser.prototype.decl = function() { this.match(QASMParser.T__2); break; default: - throw new antlr4.error.NoViableAltException(this); + throw new NoViableAltException(this); } } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -884,48 +1152,45 @@ QASMParser.prototype.decl = function() { return localctx; }; -function GatedeclContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_gatedecl; - return this; -} - -GatedeclContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -GatedeclContext.prototype.constructor = GatedeclContext; - -GatedeclContext.prototype.ID = function() { - return this.getToken(QASMParser.ID, 0); -}; - -GatedeclContext.prototype.idlist = function(i) { - if(i===undefined) { - i = null; - } - if(i===null) { - return this.getTypedRuleContexts(IdlistContext); - } else { - return this.getTypedRuleContext(IdlistContext,i); +class GatedeclContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_gatedecl; } -}; + ID = function() { + return this.getToken(QASMParser.ID, 0); + }; -GatedeclContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterGatedecl(this); - } -}; + idlist = function(i) { + if(i===undefined) { + i = null; + } + if(i===null) { + return this.getTypedRuleContexts(IdlistContext); + } else { + return this.getTypedRuleContext(IdlistContext,i); + } + }; -GatedeclContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitGatedecl(this); - } -}; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterGatedecl(this); + } + }; + + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitGatedecl(this); + } + }; +} @@ -989,7 +1254,7 @@ QASMParser.prototype.gatedecl = function() { } } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -1002,55 +1267,52 @@ QASMParser.prototype.gatedecl = function() { return localctx; }; -function GoplistContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_goplist; - return this; -} - -GoplistContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -GoplistContext.prototype.constructor = GoplistContext; - -GoplistContext.prototype.uop = function(i) { - if(i===undefined) { - i = null; - } - if(i===null) { - return this.getTypedRuleContexts(UopContext); - } else { - return this.getTypedRuleContext(UopContext,i); +class GoplistContext extends ParserRuleContext { + constructor(parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_goplist; } -}; + uop = function(i) { + if(i===undefined) { + i = null; + } + if(i===null) { + return this.getTypedRuleContexts(UopContext); + } else { + return this.getTypedRuleContext(UopContext,i); + } + }; -GoplistContext.prototype.idlist = function(i) { - if(i===undefined) { - i = null; - } - if(i===null) { - return this.getTypedRuleContexts(IdlistContext); - } else { - return this.getTypedRuleContext(IdlistContext,i); - } -}; + idlist = function(i) { + if(i===undefined) { + i = null; + } + if(i===null) { + return this.getTypedRuleContexts(IdlistContext); + } else { + return this.getTypedRuleContext(IdlistContext,i); + } + }; -GoplistContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterGoplist(this); - } -}; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterGoplist(this); + } + }; -GoplistContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitGoplist(this); - } -}; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitGoplist(this); + } + }; +} @@ -1064,7 +1326,7 @@ QASMParser.prototype.goplist = function() { var _la = 0; // Token type try { this.enterOuterAlt(localctx, 1); - this.state = 137; + this.state = 137; this._errHandler.sync(this); _la = this._input.LA(1); do { @@ -1086,14 +1348,14 @@ QASMParser.prototype.goplist = function() { this.match(QASMParser.T__2); break; default: - throw new antlr4.error.NoViableAltException(this); + throw new NoViableAltException(this); } - this.state = 139; + this.state = 139; this._errHandler.sync(this); _la = this._input.LA(1); } while(((((_la - 8)) & ~0x1f) == 0 && ((1 << (_la - 8)) & ((1 << (QASMParser.T__7 - 8)) | (1 << (QASMParser.T__19 - 8)) | (1 << (QASMParser.T__20 - 8)) | (1 << (QASMParser.ID - 8)))) !== 0)); } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -1106,158 +1368,101 @@ QASMParser.prototype.goplist = function() { return localctx; }; -function QopContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_qop; - return this; -} - -QopContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -QopContext.prototype.constructor = QopContext; - -QopContext.prototype.uop = function() { - return this.getTypedRuleContext(UopContext,0); -}; - -QopContext.prototype.argument = function(i) { - if(i===undefined) { - i = null; - } - if(i===null) { - return this.getTypedRuleContexts(ArgumentContext); - } else { - return this.getTypedRuleContext(ArgumentContext,i); +class QopContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_qop; + return this; } -}; + uop = function() { + return this.getTypedRuleContext(UopContext,0); + }; -QopContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterQop(this); - } -}; + argument = function(i) { + if(i===undefined) { + i = null; + } + if(i===null) { + return this.getTypedRuleContexts(ArgumentContext); + } else { + return this.getTypedRuleContext(ArgumentContext,i); + } + }; -QopContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitQop(this); - } -}; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterQop(this); + } + }; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitQop(this); + } + }; +} -QASMParser.QopContext = QopContext; -QASMParser.prototype.qop = function() { +QASMParser.QopContext = QopContext; - var localctx = new QopContext(this, this._ctx, this.state); - this.enterRule(localctx, 16, QASMParser.RULE_qop); - try { - this.state = 152; - this._errHandler.sync(this); - switch(this._input.LA(1)) { - case QASMParser.T__19: - case QASMParser.T__20: - case QASMParser.ID: - this.enterOuterAlt(localctx, 1); - this.state = 141; - this.uop(); - break; - case QASMParser.T__16: - this.enterOuterAlt(localctx, 2); - this.state = 142; - this.match(QASMParser.T__16); - this.state = 143; - this.argument(); - this.state = 144; - this.match(QASMParser.T__17); - this.state = 145; - this.argument(); - this.state = 146; - this.match(QASMParser.T__2); - break; - case QASMParser.T__18: - this.enterOuterAlt(localctx, 3); - this.state = 148; - this.match(QASMParser.T__18); - this.state = 149; - this.argument(); - this.state = 150; - this.match(QASMParser.T__2); - break; - default: - throw new antlr4.error.NoViableAltException(this); +class UopContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; } - } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { - localctx.exception = re; - this._errHandler.reportError(this, re); - this._errHandler.recover(this, re); - } else { - throw re; - } - } finally { - this.exitRule(); + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_uop; + return this; } - return localctx; -}; - -function UopContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_uop; - return this; -} - -UopContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -UopContext.prototype.constructor = UopContext; - -UopContext.prototype.explist = function() { - return this.getTypedRuleContext(ExplistContext,0); -}; -UopContext.prototype.argument = function(i) { - if(i===undefined) { - i = null; - } - if(i===null) { - return this.getTypedRuleContexts(ArgumentContext); - } else { - return this.getTypedRuleContext(ArgumentContext,i); - } -}; + explist = function() { + return this.getTypedRuleContext(ExplistContext,0); + }; -UopContext.prototype.ID = function() { - return this.getToken(QASMParser.ID, 0); -}; + argument = function(i) { + if(i===undefined) { + i = null; + } + if(i===null) { + return this.getTypedRuleContexts(ArgumentContext); + } else { + return this.getTypedRuleContext(ArgumentContext,i); + } + }; -UopContext.prototype.anylist = function() { - return this.getTypedRuleContext(AnylistContext,0); -}; + ID = function() { + return this.getToken(QASMParser.ID, 0); + }; -UopContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterUop(this); - } -}; + anylist = function() { + return this.getTypedRuleContext(AnylistContext,0); + }; -UopContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitUop(this); - } -}; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterUop(this); + } + }; + + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitUop(this); + } + }; +} @@ -1345,7 +1550,7 @@ QASMParser.prototype.uop = function() { } } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -1358,43 +1563,38 @@ QASMParser.prototype.uop = function() { return localctx; }; -function AnylistContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_anylist; - return this; -} - -AnylistContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -AnylistContext.prototype.constructor = AnylistContext; - -AnylistContext.prototype.idlist = function() { - return this.getTypedRuleContext(IdlistContext,0); -}; - -AnylistContext.prototype.mixedlist = function() { - return this.getTypedRuleContext(MixedlistContext,0); -}; - -AnylistContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterAnylist(this); - } -}; +class AnylistContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_anylist; + } + idlist = function() { + return this.getTypedRuleContext(IdlistContext,0); + }; -AnylistContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitAnylist(this); - } -}; + mixedlist = function() { + return this.getTypedRuleContext(MixedlistContext,0); + }; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterAnylist(this); + } + }; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitAnylist(this); + } + }; +} QASMParser.AnylistContext = AnylistContext; @@ -1422,7 +1622,7 @@ QASMParser.prototype.anylist = function() { } } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -1435,47 +1635,42 @@ QASMParser.prototype.anylist = function() { return localctx; }; -function IdlistContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_idlist; - return this; -} - -IdlistContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -IdlistContext.prototype.constructor = IdlistContext; - -IdlistContext.prototype.ID = function(i) { - if(i===undefined) { - i = null; - } - if(i===null) { - return this.getTokens(QASMParser.ID); - } else { - return this.getToken(QASMParser.ID, i); +class IdlistContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_idlist; } -}; - -IdlistContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterIdlist(this); - } -}; - -IdlistContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitIdlist(this); - } -}; + ID = function(i) { + if(i===undefined) { + i = null; + } + if(i===null) { + return this.getTokens(QASMParser.ID); + } else { + return this.getToken(QASMParser.ID, i); + } + }; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterIdlist(this); + } + }; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitIdlist(this); + } + }; +} QASMParser.IdlistContext = IdlistContext; @@ -1489,12 +1684,12 @@ QASMParser.prototype.idlist = function() { this.state = 194; this._errHandler.sync(this); var _alt = this._interp.adaptivePredict(this._input,9,this._ctx) - while(_alt!=2 && _alt!=antlr4.atn.ATN.INVALID_ALT_NUMBER) { + while(_alt!==2 && _alt!==ATN.INVALID_ALT_NUMBER) { if(_alt===1) { this.state = 190; this.match(QASMParser.ID); this.state = 191; - this.match(QASMParser.T__21); + this.match(QASMParser.T__21); } this.state = 196; this._errHandler.sync(this); @@ -1504,7 +1699,7 @@ QASMParser.prototype.idlist = function() { this.state = 197; this.match(QASMParser.ID); } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -1517,57 +1712,54 @@ QASMParser.prototype.idlist = function() { return localctx; }; -function MixedlistContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_mixedlist; - return this; -} - -MixedlistContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -MixedlistContext.prototype.constructor = MixedlistContext; - -MixedlistContext.prototype.ID = function(i) { - if(i===undefined) { - i = null; - } - if(i===null) { - return this.getTokens(QASMParser.ID); - } else { - return this.getToken(QASMParser.ID, i); +class MixedlistContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_mixedlist; } -}; + ID = function(i) { + if(i===undefined) { + i = null; + } + if(i===null) { + return this.getTokens(QASMParser.ID); + } else { + return this.getToken(QASMParser.ID, i); + } + }; -MixedlistContext.prototype.INT = function(i) { - if(i===undefined) { - i = null; - } - if(i===null) { - return this.getTokens(QASMParser.INT); - } else { - return this.getToken(QASMParser.INT, i); - } -}; + INT = function(i) { + if(i===undefined) { + i = null; + } + if(i===null) { + return this.getTokens(QASMParser.INT); + } else { + return this.getToken(QASMParser.INT, i); + } + }; -MixedlistContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterMixedlist(this); - } -}; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterMixedlist(this); + } + }; -MixedlistContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitMixedlist(this); - } -}; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitMixedlist(this); + } + }; +} @@ -1588,7 +1780,7 @@ QASMParser.prototype.mixedlist = function() { this.state = 206; this._errHandler.sync(this); var _alt = this._interp.adaptivePredict(this._input,10,this._ctx) - while(_alt!=2 && _alt!=antlr4.atn.ATN.INVALID_ALT_NUMBER) { + while(_alt!==2 && _alt!==ATN.INVALID_ALT_NUMBER) { if(_alt===1) { this.state = 199; this.match(QASMParser.ID); @@ -1599,7 +1791,7 @@ QASMParser.prototype.mixedlist = function() { this.state = 202; this.match(QASMParser.T__12); this.state = 203; - this.match(QASMParser.T__21); + this.match(QASMParser.T__21); } this.state = 208; this._errHandler.sync(this); @@ -1615,7 +1807,7 @@ QASMParser.prototype.mixedlist = function() { this.state = 217; this._errHandler.sync(this); var _alt = this._interp.adaptivePredict(this._input,11,this._ctx) - while(_alt!=2 && _alt!=antlr4.atn.ATN.INVALID_ALT_NUMBER) { + while(_alt!=2 && _alt!=ATN.INVALID_ALT_NUMBER) { if(_alt===1) { this.state = 210; this.match(QASMParser.ID); @@ -1626,7 +1818,7 @@ QASMParser.prototype.mixedlist = function() { this.state = 213; this.match(QASMParser.T__12); this.state = 214; - this.match(QASMParser.T__21); + this.match(QASMParser.T__21); } this.state = 219; this._errHandler.sync(this); @@ -1648,17 +1840,17 @@ QASMParser.prototype.mixedlist = function() { this.state = 235; this._errHandler.sync(this); var _alt = this._interp.adaptivePredict(this._input,13,this._ctx) - while(_alt!=2 && _alt!=antlr4.atn.ATN.INVALID_ALT_NUMBER) { + while(_alt!=2 && _alt!=ATN.INVALID_ALT_NUMBER) { if(_alt===1) { this.state = 228; this._errHandler.sync(this); var _alt = this._interp.adaptivePredict(this._input,12,this._ctx) - while(_alt!=2 && _alt!=antlr4.atn.ATN.INVALID_ALT_NUMBER) { + while(_alt!=2 && _alt!=ATN.INVALID_ALT_NUMBER) { if(_alt===1) { this.state = 224; this.match(QASMParser.ID); this.state = 225; - this.match(QASMParser.T__21); + this.match(QASMParser.T__21); } this.state = 230; this._errHandler.sync(this); @@ -1668,7 +1860,7 @@ QASMParser.prototype.mixedlist = function() { this.state = 231; this.match(QASMParser.ID); this.state = 232; - this.match(QASMParser.T__21); + this.match(QASMParser.T__21); } this.state = 237; this._errHandler.sync(this); @@ -1687,7 +1879,7 @@ QASMParser.prototype.mixedlist = function() { } } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -1700,44 +1892,39 @@ QASMParser.prototype.mixedlist = function() { return localctx; }; -function ArgumentContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_argument; - return this; -} - -ArgumentContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -ArgumentContext.prototype.constructor = ArgumentContext; - -ArgumentContext.prototype.ID = function() { - return this.getToken(QASMParser.ID, 0); -}; - -ArgumentContext.prototype.INT = function() { - return this.getToken(QASMParser.INT, 0); -}; - -ArgumentContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterArgument(this); - } -}; - -ArgumentContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitArgument(this); - } -}; +class ArgumentContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_argument; + return this; + } + ID = function() { + return this.getToken(QASMParser.ID, 0); + }; + INT = function() { + return this.getToken(QASMParser.INT, 0); + }; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterArgument(this); + } + }; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitArgument(this); + } + }; +} QASMParser.ArgumentContext = ArgumentContext; @@ -1770,7 +1957,7 @@ QASMParser.prototype.argument = function() { } } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -1783,44 +1970,41 @@ QASMParser.prototype.argument = function() { return localctx; }; -function ExplistContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_explist; - return this; -} - -ExplistContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -ExplistContext.prototype.constructor = ExplistContext; - -ExplistContext.prototype.exp = function(i) { - if(i===undefined) { - i = null; - } - if(i===null) { - return this.getTypedRuleContexts(ExpContext); - } else { - return this.getTypedRuleContext(ExpContext,i); +class ExplistContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_explist; } -}; + exp = function(i) { + if(i===undefined) { + i = null; + } + if(i===null) { + return this.getTypedRuleContexts(ExpContext); + } else { + return this.getTypedRuleContext(ExpContext,i); + } + }; -ExplistContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterExplist(this); - } -}; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterExplist(this); + } + }; -ExplistContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitExplist(this); - } -}; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitExplist(this); + } + }; +} @@ -1836,12 +2020,12 @@ QASMParser.prototype.explist = function() { this.state = 256; this._errHandler.sync(this); var _alt = this._interp.adaptivePredict(this._input,16,this._ctx) - while(_alt!=2 && _alt!=antlr4.atn.ATN.INVALID_ALT_NUMBER) { + while(_alt!=2 && _alt!=ATN.INVALID_ALT_NUMBER) { if(_alt===1) { this.state = 251; this.exp(0); this.state = 252; - this.match(QASMParser.T__21); + this.match(QASMParser.T__21); } this.state = 258; this._errHandler.sync(this); @@ -1851,7 +2035,7 @@ QASMParser.prototype.explist = function() { this.state = 259; this.exp(0); } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -1864,274 +2048,90 @@ QASMParser.prototype.explist = function() { return localctx; }; -function ExpContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_exp; - return this; -} - -ExpContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -ExpContext.prototype.constructor = ExpContext; - -ExpContext.prototype.exp = function(i) { - if(i===undefined) { - i = null; - } - if(i===null) { - return this.getTypedRuleContexts(ExpContext); - } else { - return this.getTypedRuleContext(ExpContext,i); +class ExpContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_exp; } -}; - -ExpContext.prototype.unaryop = function() { - return this.getTypedRuleContext(UnaryopContext,0); -}; - -ExpContext.prototype.atom = function() { - return this.getTypedRuleContext(AtomContext,0); -}; - -ExpContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterExp(this); - } -}; - -ExpContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitExp(this); - } -}; - - - -QASMParser.prototype.exp = function(_p) { - if(_p===undefined) { - _p = 0; - } - var _parentctx = this._ctx; - var _parentState = this.state; - var localctx = new ExpContext(this, this._ctx, _parentState); - var _prevctx = localctx; - var _startState = 30; - this.enterRecursionRule(localctx, 30, QASMParser.RULE_exp, _p); - var _la = 0; // Token type - try { - this.enterOuterAlt(localctx, 1); - this.state = 281; - this._errHandler.sync(this); - var la_ = this._interp.adaptivePredict(this._input,20,this._ctx); - switch(la_) { - case 1: - this.state = 263; - this._errHandler.sync(this); - _la = this._input.LA(1); - if(_la===QASMParser.T__25 || _la===QASMParser.T__26) { - this.state = 262; - _la = this._input.LA(1); - if(!(_la===QASMParser.T__25 || _la===QASMParser.T__26)) { - this._errHandler.recoverInline(this); - } - else { - this._errHandler.reportMatch(this); - this.consume(); - } - } - - this.state = 265; - this.match(QASMParser.T__3); - this.state = 266; - this.exp(0); - this.state = 267; - this.match(QASMParser.T__4); - break; - - case 2: - this.state = 270; - this._errHandler.sync(this); - _la = this._input.LA(1); - if(_la===QASMParser.T__25 || _la===QASMParser.T__26) { - this.state = 269; - _la = this._input.LA(1); - if(!(_la===QASMParser.T__25 || _la===QASMParser.T__26)) { - this._errHandler.recoverInline(this); - } - else { - this._errHandler.reportMatch(this); - this.consume(); - } - } - - this.state = 272; - this.unaryop(); - this.state = 273; - this.match(QASMParser.T__3); - this.state = 274; - this.exp(0); - this.state = 275; - this.match(QASMParser.T__4); - break; - - case 3: - this.state = 278; - this._errHandler.sync(this); - _la = this._input.LA(1); - if(_la===QASMParser.T__25 || _la===QASMParser.T__26) { - this.state = 277; - _la = this._input.LA(1); - if(!(_la===QASMParser.T__25 || _la===QASMParser.T__26)) { - this._errHandler.recoverInline(this); - } - else { - this._errHandler.reportMatch(this); - this.consume(); - } - } - - this.state = 280; - this.atom(); - break; - + exp = function(i) { + if(i===undefined) { + i = null; } - this._ctx.stop = this._input.LT(-1); - this.state = 294; - this._errHandler.sync(this); - var _alt = this._interp.adaptivePredict(this._input,22,this._ctx) - while(_alt!=2 && _alt!=antlr4.atn.ATN.INVALID_ALT_NUMBER) { - if(_alt===1) { - if(this._parseListeners!==null) { - this.triggerExitRuleEvent(); - } - _prevctx = localctx; - this.state = 292; - this._errHandler.sync(this); - var la_ = this._interp.adaptivePredict(this._input,21,this._ctx); - switch(la_) { - case 1: - localctx = new ExpContext(this, _parentctx, _parentState); - this.pushNewRecursionContext(localctx, _startState, QASMParser.RULE_exp); - this.state = 283; - if (!( this.precpred(this._ctx, 6))) { - throw new antlr4.error.FailedPredicateException(this, "this.precpred(this._ctx, 6)"); - } - this.state = 284; - this.match(QASMParser.T__22); - this.state = 285; - this.exp(7); - break; + if(i===null) { + return this.getTypedRuleContexts(ExpContext); + } else { + return this.getTypedRuleContext(ExpContext,i); + } + }; - case 2: - localctx = new ExpContext(this, _parentctx, _parentState); - this.pushNewRecursionContext(localctx, _startState, QASMParser.RULE_exp); - this.state = 286; - if (!( this.precpred(this._ctx, 5))) { - throw new antlr4.error.FailedPredicateException(this, "this.precpred(this._ctx, 5)"); - } - this.state = 287; - _la = this._input.LA(1); - if(!(_la===QASMParser.T__23 || _la===QASMParser.T__24)) { - this._errHandler.recoverInline(this); - } - else { - this._errHandler.reportMatch(this); - this.consume(); - } - this.state = 288; - this.exp(6); - break; + unaryop = function() { + return this.getTypedRuleContext(UnaryopContext,0); + }; - case 3: - localctx = new ExpContext(this, _parentctx, _parentState); - this.pushNewRecursionContext(localctx, _startState, QASMParser.RULE_exp); - this.state = 289; - if (!( this.precpred(this._ctx, 4))) { - throw new antlr4.error.FailedPredicateException(this, "this.precpred(this._ctx, 4)"); - } - this.state = 290; - _la = this._input.LA(1); - if(!(_la===QASMParser.T__25 || _la===QASMParser.T__26)) { - this._errHandler.recoverInline(this); - } - else { - this._errHandler.reportMatch(this); - this.consume(); - } - this.state = 291; - this.exp(5); - break; + atom = function() { + return this.getTypedRuleContext(AtomContext,0); + }; - } - } - this.state = 296; - this._errHandler.sync(this); - _alt = this._interp.adaptivePredict(this._input,22,this._ctx); + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterExp(this); } + }; - } catch( error) { - if(error instanceof antlr4.error.RecognitionException) { - localctx.exception = error; - this._errHandler.reportError(this, error); - this._errHandler.recover(this, error); - } else { - throw error; - } - } finally { - this.unrollRecursionContexts(_parentctx) - } - return localctx; -}; - -function AtomContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_atom; - return this; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitExp(this); + } + }; } -AtomContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -AtomContext.prototype.constructor = AtomContext; - -AtomContext.prototype.INT = function() { - return this.getToken(QASMParser.INT, 0); -}; +class AtomContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; + } + if(invokingState===undefined || invokingState===null) { + invokingState = -1; + } + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_atom; + } + INT = function() { + return this.getToken(QASMParser.INT, 0); + }; -AtomContext.prototype.REAL = function() { - return this.getToken(QASMParser.REAL, 0); -}; + REAL = function() { + return this.getToken(QASMParser.REAL, 0); + }; -AtomContext.prototype.PI = function() { - return this.getToken(QASMParser.PI, 0); -}; + PI = function() { + return this.getToken(QASMParser.PI, 0); + }; -AtomContext.prototype.ID = function() { - return this.getToken(QASMParser.ID, 0); -}; + ID = function() { + return this.getToken(QASMParser.ID, 0); + }; -AtomContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterAtom(this); - } -}; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterAtom(this); + } + }; -AtomContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitAtom(this); - } -}; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitAtom(this); + } + }; +} @@ -2155,7 +2155,7 @@ QASMParser.prototype.atom = function() { this.consume(); } } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { + if(re instanceof RecognitionException) { localctx.exception = re; this._errHandler.reportError(this, re); this._errHandler.recover(this, re); @@ -2168,92 +2168,32 @@ QASMParser.prototype.atom = function() { return localctx; }; -function UnaryopContext(parser, parent, invokingState) { - if(parent===undefined) { - parent = null; - } - if(invokingState===undefined || invokingState===null) { - invokingState = -1; - } - antlr4.ParserRuleContext.call(this, parent, invokingState); - this.parser = parser; - this.ruleIndex = QASMParser.RULE_unaryop; - return this; -} - -UnaryopContext.prototype = Object.create(antlr4.ParserRuleContext.prototype); -UnaryopContext.prototype.constructor = UnaryopContext; - - -UnaryopContext.prototype.enterRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.enterUnaryop(this); - } -}; - -UnaryopContext.prototype.exitRule = function(listener) { - if(listener instanceof QASMListener ) { - listener.exitUnaryop(this); - } -}; - - - - -QASMParser.UnaryopContext = UnaryopContext; - -QASMParser.prototype.unaryop = function() { - - var localctx = new UnaryopContext(this, this._ctx, this.state); - this.enterRule(localctx, 34, QASMParser.RULE_unaryop); - var _la = 0; // Token type - try { - this.enterOuterAlt(localctx, 1); - this.state = 299; - _la = this._input.LA(1); - if(!(((((_la - 28)) & ~0x1f) == 0 && ((1 << (_la - 28)) & ((1 << (QASMParser.T__27 - 28)) | (1 << (QASMParser.T__28 - 28)) | (1 << (QASMParser.T__29 - 28)) | (1 << (QASMParser.T__30 - 28)) | (1 << (QASMParser.T__31 - 28)) | (1 << (QASMParser.T__32 - 28)))) !== 0))) { - this._errHandler.recoverInline(this); +class UnaryopContext extends ParserRuleContext { + constructor (parser, parent, invokingState) { + if(parent===undefined) { + parent = null; } - else { - this._errHandler.reportMatch(this); - this.consume(); + if(invokingState===undefined || invokingState===null) { + invokingState = -1; } - } catch (re) { - if(re instanceof antlr4.error.RecognitionException) { - localctx.exception = re; - this._errHandler.reportError(this, re); - this._errHandler.recover(this, re); - } else { - throw re; - } - } finally { - this.exitRule(); + super(parent, invokingState); + this.parser = parser; + this.ruleIndex = QASMParser.RULE_unaryop; } - return localctx; -}; + enterRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.enterUnaryop(this); + } + }; + exitRule = function(listener) { + if(listener instanceof QASMListener ) { + listener.exitUnaryop(this); + } + }; +} -QASMParser.prototype.sempred = function(localctx, ruleIndex, predIndex) { - switch(ruleIndex) { - case 15: - return this.exp_sempred(localctx, predIndex); - default: - throw "No predicate with index:" + ruleIndex; - } -}; -QASMParser.prototype.exp_sempred = function(localctx, predIndex) { - switch(predIndex) { - case 0: - return this.precpred(this._ctx, 6); - case 1: - return this.precpred(this._ctx, 5); - case 2: - return this.precpred(this._ctx, 4); - default: - throw "No predicate with index:" + predIndex; - } -}; -exports.QASMParser = QASMParser; +QASMParser.UnaryopContext = UnaryopContext; diff --git a/lib/quantum-circuit.js b/lib/quantum-circuit.js index e3ac313..e235478 100644 --- a/lib/quantum-circuit.js +++ b/lib/quantum-circuit.js @@ -7,10 +7,8 @@ * the LICENSE.txt file in the root directory of this source tree. */ -var math = require("mathjs"); - -var QASMImport = require("./qasm_import/QASMImport.js"); - +import * as math from "mathjs"; +import {QASMImport} from "./qasm_import/QASMImport.js"; var formatComplex2 = function(re, im, options) { options = options || {}; @@ -111,7 +109,7 @@ var qubitLetter = function(n, max) { return res; }; -var QuantumCircuit = function(numQubits) { +export const QuantumCircuit = function QuantumCircuit(numQubits) { this.basicGates = { id: { description: "Single qubit identity gate", @@ -657,7 +655,7 @@ var QuantumCircuit = function(numQubits) { rz: { description: "Rotation around the Z-axis by given angle", - + matrix: [ ["cos(phi / 2) - i * sin(phi / 2)", 0], [0, "cos(phi / 2) + i * sin(phi / 2)"] @@ -1368,7 +1366,7 @@ var QuantumCircuit = function(numQubits) { } }, quil: { - name: "ch", + name: "ch", defgate: "DEFGATE ch:\n 1, 0, 0, 0\n 0, 1, 0, 0\n 0, 0, 0.7071067811865475, 0.7071067811865475\n 0, 0, 0.7071067811865475, -0.7071067811865475" }, pyquil: { @@ -1689,7 +1687,7 @@ var QuantumCircuit = function(numQubits) { } } }, - + yy: { description: "YY gate", matrix: [ @@ -2952,7 +2950,7 @@ var QuantumCircuit = function(numQubits) { } }, quil: { - name: "csrswap", + name: "csrswap", defgate: "DEFGATE csrswap:\n 1, 0, 0, 0, 0, 0, 0, 0\n 0, 1, 0, 0, 0, 0, 0, 0\n 0, 0, 1, 0, 0, 0, 0, 0\n 0, 0, 0, 1, 0, 0, 0, 0\n 0, 0, 0, 0, 1, 0, 0, 0\n 0, 0, 0, 0, 0, 0.5+0.5i, 0.5-0.5i, 0\n 0, 0, 0, 0, 0, 0.5-0.5i, 0.5+0.5i, 0\n 0, 0, 0, 0, 0, 0, 0, 1" }, pyquil: { @@ -3383,7 +3381,7 @@ QuantumCircuit.prototype.stringifyMatrix = function(M, options) { } else { str += formatFloat(el, options); } - } + } } } }); @@ -4633,7 +4631,7 @@ QuantumCircuit.prototype.getRawGate = function(gate, gateOptions, globalOptions) // Deprecated. For backward compatibility only. "params" should be object - not array. vars[varName] = params.length > varIndex ? math.evaluate(params[varIndex], globalParams) : null; } else { - vars[varName] = math.evaluate(params[varName], globalParams); + vars[varName] = math.evaluate(String(params[varName]), globalParams); } }); @@ -5632,7 +5630,7 @@ QuantumCircuit.prototype.exportRaw = function() { // // Returns input file for Quantum Generator // -// options: { +// options: { // noVectors: bool (default: false) // set true for transpiling with "replace_blocks" & "replace_gates" methods to avoid generating (large) vectors // fromMatrix: bool (default: false) // directly send matrix to generator (instead vectors) // numSamples: int (default: auto) // number of random vectors @@ -5648,8 +5646,8 @@ QuantumCircuit.prototype.exportToGenerator = function(options) { var couplingMap = this.getCouplingMap({ unitariesOnly: true }); var output = { - source: { - circuit: { + source: { + circuit: { qasm: qasm } }, @@ -6559,7 +6557,7 @@ QuantumCircuit.prototype.exportQiskit = function(comment, decompose, exportAsGat shots: shots, hybrid: hybrid }; - + return this.exportToQiskit(options, exportAsGateName, circuitReplacement, insideSubmodule) }; @@ -6580,8 +6578,8 @@ QuantumCircuit.prototype.exportQASM = function(comment, decompose, exportAsGateN decompose: decompose, compatibilityMode: compatibilityMode }; - - return this.exportToQASM(options, exportAsGateName, circuitReplacement, insideSubmodule) + + return this.exportToQASM(options, exportAsGateName, circuitReplacement, insideSubmodule) }; @@ -6708,11 +6706,11 @@ QuantumCircuit.prototype.importQuil = function(quil, errorCallback, options, qub }); if((paramEnd + 1) <= name.length) { - tok = name.substring(paramEnd + 1, name.length).split(" "); + const tok = name.substring(paramEnd + 1, name.length).split(" "); tokens = []; tok.map(function(tk) { - tk = tk.trim(); + tk = tk.trim(); if(tk.length) { tokens.push(tk); } @@ -6998,7 +6996,7 @@ QuantumCircuit.prototype.importIonq = function(data, errorCallback) { for(var gname in self.basicGates) { var gdef = self.basicGates[gname]; if(gdef.exportInfo) { - if(gdef.exportInfo.ionq && + if(gdef.exportInfo.ionq && ( (gdef.exportInfo.ionq.name && gdef.exportInfo.ionq.name == gateName) || (gdef.exportInfo.ionq.names && gdef.exportInfo.ionq.names.indexOf(gateName) >= 0) @@ -7097,7 +7095,7 @@ QuantumCircuit.prototype.exportToIonq = function(options, circuitReplacement) { options = options || {}; var self = this; - + var globalParams = this.options && this.options.params ? this.options.params : {}; var globalParams = JSON.parse(JSON.stringify(globalParams)); for(var globalParamName in globalParams) { @@ -7156,7 +7154,7 @@ QuantumCircuit.prototype.exportToIonq = function(options, circuitReplacement) { } } } - + return ionqCircuit; }; @@ -7197,14 +7195,14 @@ QuantumCircuit.prototype.exportQuirk = function(decompose) { var gateMatrix = null; var globalParams = this.options && this.options.params ? this.options.params : {}; - + var gateLocations = {}; var customGateCircuit = new QuantumCircuit(); - - + + var gatesToBeAdded = []; - + var gateInformation = {}; if(!decompose) { @@ -7225,24 +7223,24 @@ QuantumCircuit.prototype.exportQuirk = function(decompose) { if(basicGateInCustomCircuit.exportInfo && !basicGateInCustomCircuit.exportInfo.quirk){ isDecomposeCustomCircuit = isDecomposeCustomCircuit || true; } - - if(gateInCustomCircuit.connector == 0){ + + if(gateInCustomCircuit.connector == 0){ gateInformation[gate.name].info.push({gateInCustomCircuit:gateInCustomCircuit, column:column}); gatesToBeAdded.push(gateInformation); } } gateInformation[gate.name].isDecomposeCustomCircuit= isDecomposeCustomCircuit; - + } } - + if(isDecomposeCustomCircuit){ circuit.gates.map(function(circuitGate, index){ circuitGate.map(function(gateToRemove){ if(gateToRemove && gateToRemove.name == gate.name){ circuit.removeGate(gateToRemove.id); } - }); + }); }); } } @@ -7356,7 +7354,7 @@ QuantumCircuit.prototype.exportQuirk = function(decompose) { matrix += ","; } matrix += "{"; - + row.map(function(col, colIndex) { if(colIndex > 0) { matrix += ","; @@ -7373,26 +7371,26 @@ QuantumCircuit.prototype.exportQuirk = function(decompose) { matrix += "}"; }); matrix += "}"; - - if(gate.connector == 0) { + + if(gate.connector == 0) { var alreadyDefined = quirk.gates.find(function(gt) { return gt.id == quirkName; }); - + if(!alreadyDefined) { quirk.gates.push({ id: quirkName, matrix: matrix }); } - + var gatePresentInCol = false; for(var columnElement = 0; columnElement < quirkColumn.length; columnElement++){ if(quirkColumn[columnElement] == quirkName){ gatePresentInCol = true; } } - + if(!gatePresentInCol){ quirkColumn.push(quirkName); }else { @@ -7407,21 +7405,21 @@ QuantumCircuit.prototype.exportQuirk = function(decompose) { var alreadyDefined = quirk.gates.find(function(gt) { return gt.id == quirkName; }); - + if(!alreadyDefined) { quirk.gates.push({ id: quirkName, matrix: matrix }); } - + var gatePresentInCol = false; for(var columnElement = 0; columnElement < quirkColumn.length; columnElement++){ if(quirkColumn[columnElement] == quirkName){ gatePresentInCol = true; } } - + if(!gatePresentInCol){ quirkColumn.push(quirkName); }else { @@ -7453,9 +7451,9 @@ QuantumCircuit.prototype.exportQuirk = function(decompose) { } } quirk.cols.push(quirkColumn); - } - - + } + + // user defined gates if(!decompose) { var usedGates = circuit.usedGates(); @@ -7518,8 +7516,8 @@ QuantumCircuit.prototype.exportQobj = function(circuitName, experimentName, numS experimentName: experimentName, numShots: numShots }; - - return this.exportToQobj(options, circuitReplacement) + + return this.exportToQobj(options, circuitReplacement) } @@ -7632,7 +7630,7 @@ QuantumCircuit.prototype.importQobj = function(qobj, errorCallback) { return; } else { throw new Error(errorMessage); - } + } } var options = { creg: creg }; @@ -8281,7 +8279,7 @@ QuantumCircuit.prototype.exportToSVG = function(options) { .replace(/'/g, "'"); } - // + // // - gateGallery and customGateGallery is used for toolbox palette in drag & drop editor. // - gateGalleryRaw is used to generate list of all gate symbols that look the same as in diagram // (gate symbol only without controlling wire). Useful to generate training set for circuit image recognition. @@ -8446,7 +8444,7 @@ QuantumCircuit.prototype.exportToSVG = function(options) { if(options.drawHybrid) { currentCol -= 2; } - + for(var wire = 0; wire < this.numQubits; wire++) { svg += drawGateCanvas(currentCol, wire, "qc-bloch-group", "qc-bloch-canvas"); } @@ -8838,12 +8836,12 @@ QuantumCircuit.prototype.exportToQiskit = function(options, exportAsGateName, ci var numCols = circuit.numCols(); for(var column = 0; column < numCols; column++) { for(var wire = 0; wire < this.numQubits; wire++) { - var gate = circuit.getGateAt(column, wire); + var gate = circuit.getGateAt(column, wire); var qiskitReplacement = null; var qiskitEquivalent = null; var qiskitCondition = null; if(gate && gate.connector == 0) { - + qiskitCondition = gate.options && gate.options.condition && gate.options.condition.creg ? gate.options.condition : null; var gateDef = circuit.getGateDef(gate.name); @@ -8861,7 +8859,7 @@ QuantumCircuit.prototype.exportToQiskit = function(options, exportAsGateName, ci replacement.params[param] = gate.options.params[param]; } }); - } + } replacementCircuit.addGate(replacement.name, column, gate.wires, {params: replacement.params, condition: qiskitCondition}); var newOptions = { comment: "", @@ -8890,7 +8888,7 @@ QuantumCircuit.prototype.exportToQiskit = function(options, exportAsGateName, ci gateParams[gateParamName] = valueString; } } - + for(var eqParamName in equivalent.params) { var node = math.parse(equivalent.params[eqParamName]); var valueString = node.toString({ handler: mathToStringHandler, replaceVars: gateParams }); @@ -8925,7 +8923,7 @@ QuantumCircuit.prototype.exportToQiskit = function(options, exportAsGateName, ci var gateName = gate.name; var gateParams = gate.options && gate.options.params ? gate.options.params : {}; - + // Measurement is commented out in hybrid quantum-classical circuit when running on statevector simulator if(backendName == "statevector_simulator" && gateName == "measure" && hybrid) { qiskit += "# "; @@ -8934,7 +8932,7 @@ QuantumCircuit.prototype.exportToQiskit = function(options, exportAsGateName, ci if(this.basicGates[gateName]) { qiskit += "qc."; } - + if(gateDef && gateDef.exportInfo && gateDef.exportInfo.qiskit && gateDef.exportInfo.qiskit.name){ gateName = gateDef.exportInfo.qiskit.name; } else { @@ -9054,7 +9052,7 @@ QuantumCircuit.prototype.exportToQiskit = function(options, exportAsGateName, ci argCount++; } - qiskit += ")"; + qiskit += ")"; if(gate.options && gate.options.condition && gate.options.condition.creg) { qiskit += ".c_if(" + gate.options.condition.creg + ", " + gate.options.condition.value + ")"; @@ -9587,7 +9585,7 @@ QuantumCircuit.prototype.exportToQASM = function(options, exportAsGateName, circ var gate = circuit.getGateAt(column, wire); var qasmReplacement = null; var qasmEquivalent = null; - + if(gate && gate.connector == 0) { var qasmName = gate.name; if(!compatibilityMode) { @@ -9643,7 +9641,7 @@ QuantumCircuit.prototype.exportToQASM = function(options, exportAsGateName, circ gateParams[gateParamName] = valueString; } } - + for(var eqParamName in equivalent.params) { var node = math.parse(equivalent.params[eqParamName]); var valueString = node.toString({ handler: mathToStringHandler, replaceVars: gateParams }); @@ -9670,7 +9668,7 @@ QuantumCircuit.prototype.exportToQASM = function(options, exportAsGateName, circ if(exportAsGateName || insideSubmodule) { qasm += " "; } - + if(gate.options && gate.options.condition && gate.options.condition.creg) { qasm += "if(" + gate.options.condition.creg + "==" + gate.options.condition.value + ") "; } @@ -9708,7 +9706,7 @@ QuantumCircuit.prototype.exportToQASM = function(options, exportAsGateName, circ } qasm += ")"; } - } + } } for(var w = 0; w < gate.wires.length; w++) { @@ -9940,7 +9938,7 @@ QuantumCircuit.prototype.exportToPyquil = function(options, exportAsGateName) { if(version < 2.12) { importsForDefgate = "from pyquil.parameters import Parameter, quil_sin, quil_cos, quil_sqrt, quil_exp, quil_cis\nfrom pyquil.quilbase import DefGate"; } else { - importsForDefgate = "from pyquil.quilatom import Parameter, quil_sin, quil_cos, quil_sqrt, quil_exp, quil_cis\nfrom pyquil.quilbase import DefGate"; + importsForDefgate = "from pyquil.quilatom import Parameter, quil_sin, quil_cos, quil_sqrt, quil_exp, quil_cis\nfrom pyquil.quilbase import DefGate"; } } @@ -10240,7 +10238,7 @@ QuantumCircuit.prototype.exportToPyquil = function(options, exportAsGateName) { // --- // prepend 'np' to math constants if(typeof gateParams[quilInfo.params[p]] != "undefined") { - var node = math.parse(gateParams[quilInfo.params[p]]); + var node = math.parse(String(gateParams[quilInfo.params[p]])); pyquil += node.toString({ handler: mathToStringHandler }); } // --- @@ -10400,7 +10398,7 @@ QuantumCircuit.prototype.exportToPyquil = function(options, exportAsGateName) { pyquil += indent + "return cost\n" } else { pyquil += indent + "counts = dict(zip(results,[results.count(i) for i in results]))\n"; - pyquil += indent + "print(counts)\n"; + pyquil += indent + "print(counts)\n"; } } else { if(hybrid) { @@ -10441,7 +10439,7 @@ QuantumCircuit.prototype.exportToPyquil = function(options, exportAsGateName) { pyquil += indent + "return cost\n" } else { pyquil += indent + "counts = dict(zip(results,[results.count(i) for i in results]))\n"; - pyquil += indent + "print(counts)\n"; + pyquil += indent + "print(counts)\n"; } } else { pyquil += indent + "results_list = qc.run(p).readout_data.get(\"ro\")\n"; @@ -10626,7 +10624,7 @@ QuantumCircuit.prototype.exportToQuil = function(options, exportAsGateName) { var newOptions = { comment: "", decompose: false - }; + }; quil += customCircuit.exportToQuil(newOptions, exportAsGateName); } } @@ -10774,7 +10772,7 @@ QuantumCircuit.prototype.exportToQuil = function(options, exportAsGateName) { // --- // prepend '%' to global params if(typeof gateParams[quilInfo.params[p]] != "undefined") { - var node = math.parse(gateParams[quilInfo.params[p]]); + var node = math.parse(String(gateParams[quilInfo.params[p]])); quil += node.toString({ handler: mathToStringHandler }); } // --- @@ -10969,14 +10967,14 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo if(gateInCustomCircuit && gateInCustomCircuit.connector == 0){ gatesToBeAdded.push(gateInCustomCircuit); } - + circuit.gates.map(function(circuitGate, index){ circuitGate.map(function(gateToRemove){ if(gateToRemove && gateToRemove.name == gate.name){ circuit.removeGate(gateToRemove.id); } - }); - }); + }); + }); } } } @@ -10994,7 +10992,7 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo var indent = getIndent(indentDepth); var usedGates = circuit.usedGates(); var numQubits = circuit.numQubits; - + if(!isExportPyAQASM){ aqasm += indent + "BEGIN\n"; aqasm += indent + "qubits " + numQubits + "\n"; @@ -11032,7 +11030,7 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo if(hybrid) { aqasm += indent + "from scipy.optimize import minimize\n"; } - + aqasm += indent + "import numpy as np\n"; aqasm += "\n"; @@ -11045,10 +11043,10 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo if(!decompose) { if(circuit.basicGates[usedGateName].exportInfo.aqasm && circuit.basicGates[usedGateName].exportInfo.aqasm.array) { unsupportedAqasmInfo = circuit.basicGates[usedGateName].exportInfo.aqasm; - + gateUnitary = usedGateName + "_gate"; aqasm += indent + "def " + gateUnitary +"("; - + if(unsupportedAqasmInfo.params && unsupportedAqasmInfo.params.length){ var argCount = 0; unsupportedAqasmInfo.params.map(function(paramName){ @@ -11059,12 +11057,12 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo argCount++; }); } - + aqasm += "):\n"; - aqasm += getIndent(indentDepth + 1) + "return np.array(" + unsupportedAqasmInfo.array + ")\n\n"; + aqasm += getIndent(indentDepth + 1) + "return np.array(" + unsupportedAqasmInfo.array + ")\n\n"; unsupportedGateDefinition += usedGateName + " = AbstractGate(\"" + usedGateName + "\", ["; - + var count = 0; if(unsupportedAqasmInfo.params){ @@ -11082,7 +11080,7 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo } unsupportedGateDefinition += "], matrix_generator=" + gateUnitary + ", arity=" + arity +")\n"; - } + } } } else { var customGate = self.customGates[usedGateName]; @@ -11114,8 +11112,8 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo } aqasm += indent + "program = Program()\n"; - aqasm += indent + "qubits_reg = program.qalloc("+ circuit.numQubits +")\n"; - + aqasm += indent + "qubits_reg = program.qalloc("+ circuit.numQubits +")\n"; + for(var cregName in circuit.cregs){ aqasm += indent + cregName + " = program.calloc(" + circuit.cregs[cregName].length + ")\n"; } @@ -11146,7 +11144,7 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo aqasm += "def " + exportAsGateName + (args ? "(" + args + ")" : "") + ":\n"; indentDepth++; indent = getIndent(indentDepth); - aqasm += indent + "circuit = QRoutine()\n" + aqasm += indent + "circuit = QRoutine()\n" } else { if(hybrid) { aqasm += "def objective_function(params):\n" @@ -11196,7 +11194,7 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo if(gateDef.exportInfo.aqasm){ var aqasmInfo = gateDef.exportInfo.aqasm; var aqasmInfoName = ""; - if(aqasmInfo.name){ + if(aqasmInfo.name){ if(gateDef.params.length){ gateDef.params.map(function(param){ var node = math.parse(gateParams[param]); @@ -11205,7 +11203,7 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo if(!isExportPyAQASM){ aqasmInfoName += "[" + paramValue + "]"; }else{ - aqasmInfoName += "(" + paramValue + ")"; + aqasmInfoName += "(" + paramValue + ")"; } }); }else { @@ -11280,7 +11278,7 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo }); name += ")"; - } + } } } @@ -11292,7 +11290,7 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo aqasm += "("; } } - + var argCount = 0; for(var w = 0; w < gate.wires.length; w++){ if(argCount > 0){ @@ -11332,7 +11330,7 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo if(!isExportPyAQASM) { aqasm += "END"; } else { - if(!exportAsGateName){ + if(!exportAsGateName){ aqasm += indent + "\n"; aqasm += indent + "circuit = program.to_circ()\n"; aqasm += indent + "job = circuit.to_job(nbshots=shots, aggregate_data=False)\n"; @@ -11347,17 +11345,17 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo if(hybrid) { aqasm += indent + "# CALCULATE COST HERE\n"; - + var costFunction = this.options && this.options.hybridOptions && this.options.hybridOptions.costFunction ? this.options.hybridOptions.costFunction.python || "" : ""; if(!costFunction.trim()) { costFunction = "cost = 0"; } - + aqasm += adjustIdentation(costFunction, indent); - + aqasm += "\n" - aqasm += indent + "return cost\n"; - + aqasm += indent + "return cost\n"; + indentDepth--; indent = getIndent(indentDepth); if(hybrid) { @@ -11368,14 +11366,14 @@ QuantumCircuit.prototype.exportToAQASM = function(options, isExportPyAQASM, expo } globalParamList += globalParamName; }); - + aqasm += "\n"; aqasm += "params = np.array([" + globalParamList + "])\n"; aqasm += "\n"; aqasm += "minimum = minimize(objective_function, params, method=\"" + (this.options && this.options.hybridOptions && this.options.hybridOptions.optimizer ? this.options.hybridOptions.optimizer : "Powell") + "\", tol=tolerance)\n"; aqasm += "print(\"cost:\", minimum.fun, \"params:\", minimum.x)\n"; } - + } else { aqasm += indent + "print(counts)"; } @@ -11506,7 +11504,7 @@ QuantumCircuit.prototype.exportToCirq = function(options, exportAsGateName) { if(gateDef) { var paramDef = gateDef.params || []; var paramCount = paramDef.length; - if(paramCount) { + if(paramCount) { for(var p = 0; p < paramCount; p++) { if(argCount > 0) { cirq += ", "; @@ -11584,7 +11582,7 @@ QuantumCircuit.prototype.exportToCirq = function(options, exportAsGateName) { comment: "", decompose: true, versionStr: versionStr - }; + }; cirq += customCircuit.exportToCirq(newOptions, exportAsGateName); } } @@ -11657,7 +11655,7 @@ QuantumCircuit.prototype.exportToCirq = function(options, exportAsGateName) { } indent = " "; } - + var numCols = circuit.numCols(); var gateCounter = 0; var multishotKeys = ''; @@ -11686,13 +11684,13 @@ QuantumCircuit.prototype.exportToCirq = function(options, exportAsGateName) { if(gateDef.exportInfo.cirq.replacement.params) { gateParams = gateDef.exportInfo.cirq.replacement.params; } - isControlledGate = (gateDef.exportInfo.cirq.replacement.type && (gateDef.exportInfo.cirq.replacement.type == "controlled")) ? true : false; + isControlledGate = (gateDef.exportInfo.cirq.replacement.type && (gateDef.exportInfo.cirq.replacement.type == "controlled")) ? true : false; noTfqSupport = gateDef.exportInfo.cirq.replacement.notTfqSupported ? true : false; gateDef = circuit.getGateDef(gateDef.exportInfo.cirq.replacement.name); } cirqInfo = (gateDef && gateDef.exportInfo && gateDef.exportInfo.cirq) ? gateDef.exportInfo.cirq : null; } - + gateCounter++; if(gate.options && gate.options.condition && gate.options.condition.creg) { @@ -11727,7 +11725,7 @@ QuantumCircuit.prototype.exportToCirq = function(options, exportAsGateName) { node = math.parse(gate.options.params[param]); } } - paramString += node.toString({ handler: mathToStringHandler }); + paramString += node.toString({ handler: mathToStringHandler }); } // --- if(tmpParamCount == paramCount - 1) { @@ -11769,8 +11767,8 @@ QuantumCircuit.prototype.exportToCirq = function(options, exportAsGateName) { cirq += indent + gate.name; } - cirq += paramString; - + cirq += paramString; + if(isControlledGate) { cirq += ".controlled().on(" @@ -11874,7 +11872,7 @@ QuantumCircuit.prototype.exportToTFQ = function(options, exportAsGateName) { var versionStr = options.versionStr; var asJupyter = options.asJupyter; var shots = options.shots; - + var self = this; if(typeof shots == "undefined") { @@ -11907,7 +11905,7 @@ QuantumCircuit.prototype.exportToTFQ = function(options, exportAsGateName) { asJupyter: false, shots: shots, exportTfq: true - }; + }; tfq += circuit.exportToCirq(newOptions, exportAsGateName); tfq += "results_list = tfq.layers.Sample()(circuit, repetitions="+shots+").to_list()[0]\n"; tfq += "results = list(map(lambda arr: reduce(lambda x, y: str(x) + str(y), arr[::-1]), results_list))\n"; @@ -11954,7 +11952,7 @@ QuantumCircuit.prototype.exportToQSharp = function(options, exportAsGateName) { var indentDepth = options.indentDepth; var self = this; - + var mathToStringHandler = function(node, options) { // symbols @@ -12135,7 +12133,7 @@ QuantumCircuit.prototype.exportToQSharp = function(options, exportAsGateName) { gateParams = gateDef.exportInfo.qsharp.replacement.params; } gateDef = circuit.getGateDef(gateDef.exportInfo.qsharp.replacement.name); - } + } qsharpInfo = (gateDef && gateDef.exportInfo && gateDef.exportInfo.qsharp) ? gateDef.exportInfo.qsharp : null; } @@ -12149,7 +12147,7 @@ QuantumCircuit.prototype.exportToQSharp = function(options, exportAsGateName) { if(gateParams) { var paramDef = gateDef.params || []; var paramCount = paramDef.length; - if(paramCount) { + if(paramCount) { for(var p = 0; p < paramCount; p++) { // if(tmpParamCount == 0) { // paramString += "("; @@ -12157,7 +12155,7 @@ QuantumCircuit.prototype.exportToQSharp = function(options, exportAsGateName) { if(tmpParamCount > 0) { paramString += ", "; } - var paramName = paramDef[p]; + var paramName = paramDef[p]; // --- // prepend 'np' to math constants @@ -12215,7 +12213,7 @@ QuantumCircuit.prototype.exportToQSharp = function(options, exportAsGateName) { if(paramString){ qsharp += paramString + ", "; - } + } // else { // qsharp += paramString + "("; // } @@ -12474,12 +12472,12 @@ QuantumCircuit.prototype.exportToBraket = function(options, exportAsGateName) { if(!decompose){ if(circuit.basicGates[usedGateName].exportInfo.braket && circuit.basicGates[usedGateName].exportInfo.braket.array) { unsupportedBraketInfo = circuit.basicGates[usedGateName].exportInfo.braket; - + if(unsupportedBraketInfo.name == "unitary"){ gateUnitary = usedGateName + "_unitary"; braket += indent + "def " + gateUnitary +"("; } - + if(unsupportedBraketInfo.params && unsupportedBraketInfo.params.length){ var argCount = 0; unsupportedBraketInfo.params.map(function(paramName){ @@ -12490,7 +12488,7 @@ QuantumCircuit.prototype.exportToBraket = function(options, exportAsGateName) { argCount++; }); } - + braket += "):\n"; braket += getIndent(indentDepth + 1) + "return np.array(" + unsupportedBraketInfo.array + ");\n\n"; } @@ -12504,8 +12502,8 @@ QuantumCircuit.prototype.exportToBraket = function(options, exportAsGateName) { submoduleCount++; } } - }); - + }); + if(exportAsGateName){ braket += "def " + exportAsGateName + (args ? "(" + args + ")" : "") + ":\n"; indentDepth++; @@ -12573,12 +12571,12 @@ QuantumCircuit.prototype.exportToBraket = function(options, exportAsGateName) { var tmpParamCount = 0; if(gateParams) { var paramCount = paramDef.length; - if(paramCount) { + if(paramCount) { for(var p = 0; p < paramCount; p++) { if(tmpParamCount > 0) { paramString += ", "; } - var paramName = paramDef[p]; + var paramName = paramDef[p]; // --- // prepend 'np' to math constants @@ -12598,7 +12596,7 @@ QuantumCircuit.prototype.exportToBraket = function(options, exportAsGateName) { } else { braket += gateName + "("; } - + var argCount = 0; for(w = 0; w < gate.wires.length; w++) { if(argCount > 0) { @@ -12626,13 +12624,13 @@ QuantumCircuit.prototype.exportToBraket = function(options, exportAsGateName) { } } } - + if(exportAsGateName){ braket += indent + "return circuit"; } braket += "\n\n"; - + if(!exportAsGateName) { braket += indent + "local_sim = LocalSimulator()\n"; braket += indent + "result = local_sim.run(circuit, shots=shots).result()\n"; @@ -12713,7 +12711,7 @@ QuantumCircuit.prototype.exportToQobj = function(options, circuitReplacement) { var numShots = options.numShots; var self = this; - + var globalParams = this.options && this.options.params ? this.options.params : {}; var globalParams = JSON.parse(JSON.stringify(globalParams)); for(var globalParamName in globalParams) { @@ -12860,7 +12858,7 @@ QuantumCircuit.prototype.exportToQobj = function(options, circuitReplacement) { gateParams[gateParamName] = valueString; } } - + for(var eqParamName in equivalent.params) { var node = math.parse(equivalent.params[eqParamName]); var valueString = node.toString({ handler: mathToStringHandler, replaceVars: gateParams }); @@ -12890,39 +12888,39 @@ QuantumCircuit.prototype.exportToQobj = function(options, circuitReplacement) { case "id": { gateName = "iden"; }; break; - + // case "r2": { // gateName = "u1"; // gateParams = { lambda: "pi/2" }; // }; break; - + // case "r4": { // gateName = "u1"; // gateParams = { lambda: "pi/4" }; // }; break; - + // case "r8": { // gateName = "u1"; // gateParams = { lambda: "pi/8" }; // }; break; - + // case "cr2": { // gateName = "cu1"; // gateParams = { lambda: "pi/2" }; // }; break; - + // case "cr4": { // gateName = "cu1"; // gateParams = { lambda: "pi/4" }; // }; break; - + // case "cr8": { // gateName = "cu1"; // gateParams = { lambda: "pi/8" }; // }; break; } - - qobjInstruction.name = gateName; + + qobjInstruction.name = gateName; qobjInstruction.qubits = gate.wires; if(gate.options && gate.options.condition && gate.options.condition.creg){ @@ -12932,7 +12930,7 @@ QuantumCircuit.prototype.exportToQobj = function(options, circuitReplacement) { var maskValue = 0; var mask = ""; var val = ""; - + var indexOfRegister = cregNames.indexOf(gate.options.condition.creg); for(var i = 0; i < indexOfRegister; i++){ numberOfBitsShift += circuit.cregs[cregNames[i]].length; @@ -12943,7 +12941,7 @@ QuantumCircuit.prototype.exportToQobj = function(options, circuitReplacement) { if(numberOfBitsShift > 0){ var exponent = Math.pow(2, numberOfBitsShift); - for(var bit = 0; bit < cregSize; bit++){ + for(var bit = 0; bit < cregSize; bit++){ maskValue += exponent; exponent *= 2; } @@ -12992,14 +12990,14 @@ QuantumCircuit.prototype.exportToQobj = function(options, circuitReplacement) { } } } - + qobj.instructions.push(qobjInstruction); } } } } } - + if(circuitReplacement){ return qobj.instructions; } @@ -13776,7 +13774,7 @@ QuantumCircuit.prototype.getCregValue = function(creg) { // // This function simulates measurement of all qubits on current state vector, without modifying state -// Returns array of 0s and 1s for each qubit. +// Returns array of 0s and 1s for each qubit. // For example, bell state will return: [0, 0] or [1, 1] // If you need multiple shots then use "measureAllMultishot" method (it runs much faster). // @@ -14025,8 +14023,8 @@ QuantumCircuit.prototype.angles = 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"node --experimental-vm-modules node_modules/jest/bin/jest.js", "export-gatedefs": "node ./utils/export_gatedefs.js", "make-docs": "node ./utils/generate_readme.js", "dev": "vite", @@ -38,12 +39,11 @@ }, "homepage": "https://quantum-circuit.com", "dependencies": { - "antlr4": "4.7.2", - "mathjs": "^6.0.3" + "antlr4": "^4.7.2", + "mathjs": "^13.0.0" }, "devDependencies": { - "@rollup/plugin-terser": "^0.4.4", - "mocha": "^6.2.3", + "jest": "^29.7.0", "url": "^0.11.0", "vite": "^5.3.1" } diff --git a/test/test.js b/test/test.js index aba6739..70b0c19 100644 --- a/test/test.js +++ b/test/test.js @@ -7,10 +7,10 @@ * the LICENSE.txt file in the root directory of this source tree. */ -var QuantumCircuit = require("../lib/quantum-circuit.js"); -var math = require("mathjs"); +import * as math from 'mathjs' -var assert = require("assert"); +import assert from "assert"; +import {QuantumCircuit} from "../lib/quantum-circuit.js"; var circuit = new QuantumCircuit(); @@ -33,7 +33,8 @@ var checkBasicGates = function() { var matrix = JSON.parse(JSON.stringify(gate.matrix)); matrix.map(function(row, rowIndex) { row.map(function(value, colIndex) { - matrix[rowIndex][colIndex] = math.evaluate(value, params); + const evaluatedValue = math.evaluate(String(value), params) + matrix[rowIndex][colIndex] = evaluatedValue; }); }); @@ -48,8 +49,6 @@ var checkBasicGates = function() { var checkImportExportQASM = function() { for(var gateName in circuit.basicGates) { var gate = circuit.basicGates[gateName]; - - if(gate.matrix && gate.matrix.length) { var wires = []; for(var i = 0; i < Math.log2(gate.matrix.length); i++){ @@ -82,7 +81,7 @@ var checkImportExportQASM = function() { var checkImportExportQuil = function() { for(var gateName in circuit.basicGates) { var gate = circuit.basicGates[gateName]; - + if(gate.matrix && gate.matrix.length) { var wires = []; for(var i = 0; i < Math.log2(gate.matrix.length); i++){ diff --git a/utils/generate_readme.js b/utils/generate_readme.js index a00dad2..2171543 100644 --- a/utils/generate_readme.js +++ b/utils/generate_readme.js @@ -1,8 +1,10 @@ -var fs = require("fs"); -var path = require("path"); -var url = require("url"); +import fs from "fs"; +import path from "path"; -var QuantumCircuit = require("../lib/quantum-circuit.js"); +import { fileURLToPath } from 'url'; +import {QuantumCircuit} from "../lib/quantum-circuit.js"; +const __filename = fileURLToPath(import.meta.url); // get the resolved path to the file +const __dirname = path.dirname(__filename); // get the name of the directory var escapeRegExp = function(string) { return string.replace(/[.*+?^${}()|[\]\\]/g, '\\$&') @@ -92,7 +94,7 @@ fs.readFile( path.join(__dirname, "README_TEMPLATE.md"), function (err, data) { pyquilName += pyquilDef.replacement.params[pname]; } pyquilName += ")"; - } + } } } } @@ -114,7 +116,7 @@ fs.readFile( path.join(__dirname, "README_TEMPLATE.md"), function (err, data) { cirqName += cirqDef.replacement.params[pname]; } cirqName += ")"; - } + } } } } @@ -158,7 +160,7 @@ fs.readFile( path.join(__dirname, "README_TEMPLATE.md"), function (err, data) { ionqName += ionqDef.replacement.params[pname]; } ionqName += ")"; - } + } } } } @@ -252,7 +254,7 @@ fs.readFile( path.join(__dirname, "README_TEMPLATE.md"), function (err, data) { gateRef += "circuit.addMeasure(0, \"c\", 3);\n"; gateRef += "```\n" } - + gateRef += "\n"; // --- } @@ -269,6 +271,6 @@ fs.readFile( path.join(__dirname, "README_TEMPLATE.md"), function (err, data) { throw err; return; } - console.log("README.md is written."); + console.log("README.md is written."); }); }); diff --git a/vite.config.js b/vite.config.js index 389efb6..e358e55 100644 --- a/vite.config.js +++ b/vite.config.js @@ -1,7 +1,7 @@ export default{ build: { outDir: './dist/', - target: ['es2015'], + target: ['esnext'], lib: { entry: 'lib/quantum-circuit.js', formats: ['es'],