diff --git a/previews/PR94/.documenter-siteinfo.json b/previews/PR94/.documenter-siteinfo.json new file mode 100644 index 0000000..f54a66e --- /dev/null +++ b/previews/PR94/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.10.1","generation_timestamp":"2024-03-01T16:53:16","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/previews/PR94/about/index.html b/previews/PR94/about/index.html new file mode 100644 index 0000000..a04eb3d --- /dev/null +++ b/previews/PR94/about/index.html @@ -0,0 +1,4 @@ + +About · SpaceExParser.jl
GitHub

About

This page contains some general information about this project, and recommendations about contributing.

Contributing

If you like this package, consider contributing!

Creating an issue in the GitHub issue tracker to report a bug, open a discussion about existing functionality, or suggesting new functionality is appreciated.

If you have written code and would like it to be peer reviewed and added to the library, you can fork the repository and send a pull request (see below). Typical contributions include fixing a bug, adding a new feature or improving the documentation (either in source code or the online manual).

Below we detail some general comments about contributing to this package. The JuliaReach Developer's Documentation describes coding guidelines; take a look when in doubt about the coding style that is expected for the code that is finally merged into the library.

Branches

Each pull request (PR) should be pushed in a new branch with the name of the author followed by a descriptive name, e.g. mforets/my_feature. If the branch is associated to a previous discussion in one issue, we use the name of the issue for easier lookup, e.g. mforets/7.

Unit testing and continuous integration (CI)

This project is synchronized with GitHub Actions such that each PR gets tested before merging (and the build is automatically triggered after each new commit). For the maintainability of this project, it is important to make all unit tests pass.

To run the unit tests locally, you can do:

julia> using Pkg
+
+julia> Pkg.test("ReachabilityBase")

We also advise adding new unit tests when adding new features to ensure long-term support of your contributions.

Contributing to the documentation

This documentation is written in Markdown, and it relies on Documenter.jl to produce the HTML layout. To build the docs, run make.jl:

$ julia --color=yes docs/make.jl

Credits

These persons have contributed to SpaceExParser.jl (in alphabetic order):

diff --git a/previews/PR94/assets/aligned.css b/previews/PR94/assets/aligned.css new file mode 100644 index 0000000..0078e6b --- /dev/null +++ b/previews/PR94/assets/aligned.css @@ -0,0 +1,3 @@ +p { + text-align: justify +} diff --git a/previews/PR94/assets/bball.png b/previews/PR94/assets/bball.png new file mode 100644 index 0000000..c40779b Binary files /dev/null and b/previews/PR94/assets/bball.png differ diff --git a/previews/PR94/assets/documenter.js b/previews/PR94/assets/documenter.js new file mode 100644 index 0000000..f531160 --- /dev/null +++ b/previews/PR94/assets/documenter.js @@ -0,0 +1,889 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'minisearch': 'https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on("click", ".docstring header", function () { + let articleToggleTitle = "Expand docstring"; + + debounce(() => { + if ($(this).siblings("section").is(":visible")) { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + $(this) + .find(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + $(this).siblings("section").slideToggle(); + }); +}); + +$(document).on("click", ".docs-article-toggle-button", function () { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'minisearch'], function($, minisearch) { + +// In general, most search related things will have "search" as a prefix. +// To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +let results = []; +let timer = undefined; + +let data = documenterSearchIndex["docs"].map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; +}); + +// list below is the lunr 2.1.3 list minus the intersect with names(Base) +// (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) +// ideally we'd just filter the original list but it's not available as a variable +const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", +]); + +let index = new minisearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with search results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + boost: { title: 100 }, + fuzzy: 2, + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + } + + return word ?? null; + }, + tokenize: (string) => string.split(/[\s\-\.]+/), + }, +}); + +index.addAll(data); + +let filters = [...new Set(data.map((x) => x.category))]; +var modal_filters = make_modal_body_filters(filters); +var filter_results = []; + +$(document).on("keyup", ".documenter-search-input", function (event) { + // Adding a debounce to prevent disruptions from super-speed typing! + debounce(() => update_search(filter_results), 300); +}); + +$(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + $(this).removeClass("search-filter-selected"); + } else { + $(this).addClass("search-filter-selected"); + } + + // Adding a debounce to prevent disruptions from crazy clicking! + debounce(() => get_filters(), 300); +}); + +/** + * A debounce function, takes a function and an optional timeout in milliseconds + * + * @function callback + * @param {number} timeout + */ +function debounce(callback, timeout = 300) { + clearTimeout(timer); + timer = setTimeout(callback, timeout); +} + +/** + * Make/Update the search component + * + * @param {string[]} selected_filters + */ +function update_search(selected_filters = []) { + let initial_search_body = ` +
Type something to get started!
+ `; + + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + results = index.search(querystring, { + filter: (result) => { + // Filtering results + if (selected_filters.length === 0) { + return result.score >= 1; + } else { + return ( + result.score >= 1 && selected_filters.includes(result.category) + ); + } + }, + }); + + let search_result_container = ``; + let search_divider = `
`; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + results.forEach(function (result) { + if (result.location) { + // Checking for duplication of results for the same page + if (!links.includes(result.location)) { + search_results += make_search_result(result, querystring); + count++; + } + + links.push(result.location); + } + }); + + let result_count = `
${count} result(s)
`; + + search_result_container = ` +
+ ${modal_filters} + ${search_divider} + ${result_count} +
+ ${search_results} +
+
+ `; + } else { + search_result_container = ` +
+ ${modal_filters} + ${search_divider} +
0 result(s)
+
+
No result found!
+ `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + filter_results = []; + modal_filters = make_modal_body_filters(filters, filter_results); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(initial_search_body); + } +} + +/** + * Make the modal filter html + * + * @param {string[]} filters + * @param {string[]} selected_filters + * @returns string + */ +function make_modal_body_filters(filters, selected_filters = []) { + let str = ``; + + filters.forEach((val) => { + if (selected_filters.includes(val)) { + str += `${val}`; + } else { + str += `${val}`; + } + }); + + let filter_html = ` +
+ Filters: + ${str} +
+ `; + + return filter_html; +} + +/** + * Make the result component given a minisearch result data object and the value of the search input as queryString. + * To view the result object structure, refer: https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ +function make_search_result(result, querystring) { + let search_divider = `
`; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + + let textindex = new RegExp(`\\b${querystring}\\b`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`\\b${querystring}\\b`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
+
${result.title}
+
${result.category}
+
+

+ ${display_result} +

+
+ ${display_link} +
+ + ${search_divider} + `; + + return result_div; +} + +/** + * Get selected filters, remake the filter html and lastly update the search modal + */ +function get_filters() { + let ele = $(".search-filters .search-filter-selected").get(); + filter_results = ele.map((x) => $(x).text().toLowerCase()); + modal_filters = make_modal_body_filters(filters, filter_results); + update_search(filter_results); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let search_modal_header = ` +
+
+

+ + + + +

+
+
+ +
+
+`; + +let initial_search_body = ` +
Type something to get started!
+`; + +let search_modal_footer = ` + +`; + +$(document.body).append( + ` + + ` +); + +document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); +}); + +document.querySelector(".close-search-modal").addEventListener("click", () => { + closeModal(); +}); + +$(document).on("click", ".search-result-link", function () { + closeModal(); +}); + +document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; +}); + +// Functions to open and close a modal +function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); +} + +function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
Type something to get started!
+ `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); +} + +document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/previews/PR94/assets/logo.png b/previews/PR94/assets/logo.png new file mode 100644 index 0000000..b2a163b Binary files /dev/null and b/previews/PR94/assets/logo.png differ diff --git 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input[type="radio"]{vertical-align:baseline}html.theme--documenter-dark small{font-size:.875em}html.theme--documenter-dark span{font-style:inherit;font-weight:inherit}html.theme--documenter-dark strong{color:#f2f2f2;font-weight:700}html.theme--documenter-dark fieldset{border:none}html.theme--documenter-dark pre{-webkit-overflow-scrolling:touch;background-color:#282f2f;color:#fff;font-size:.875em;overflow-x:auto;padding:1.25rem 1.5rem;white-space:pre;word-wrap:normal}html.theme--documenter-dark pre code{background-color:transparent;color:currentColor;font-size:1em;padding:0}html.theme--documenter-dark table td,html.theme--documenter-dark table th{vertical-align:top}html.theme--documenter-dark table td:not([align]),html.theme--documenter-dark table th:not([align]){text-align:inherit}html.theme--documenter-dark table th{color:#f2f2f2}html.theme--documenter-dark .box{background-color:#343c3d;border-radius:8px;box-shadow:none;color:#fff;display:block;padding:1.25rem}html.theme--documenter-dark a.box:hover,html.theme--documenter-dark a.box:focus{box-shadow:0 0.5em 1em -0.125em rgba(10,10,10,0.1),0 0 0 1px #1abc9c}html.theme--documenter-dark a.box:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2),0 0 0 1px #1abc9c}html.theme--documenter-dark .button{background-color:#282f2f;border-color:#4c5759;border-width:1px;color:#375a7f;cursor:pointer;justify-content:center;padding-bottom:calc(0.5em - 1px);padding-left:1em;padding-right:1em;padding-top:calc(0.5em - 1px);text-align:center;white-space:nowrap}html.theme--documenter-dark .button strong{color:inherit}html.theme--documenter-dark .button .icon,html.theme--documenter-dark .button .icon.is-small,html.theme--documenter-dark .button #documenter .docs-sidebar form.docs-search>input.icon,html.theme--documenter-dark #documenter .docs-sidebar .button form.docs-search>input.icon,html.theme--documenter-dark .button .icon.is-medium,html.theme--documenter-dark .button .icon.is-large{height:1.5em;width:1.5em}html.theme--documenter-dark .button .icon:first-child:not(:last-child){margin-left:calc(-0.5em - 1px);margin-right:.25em}html.theme--documenter-dark .button .icon:last-child:not(:first-child){margin-left:.25em;margin-right:calc(-0.5em - 1px)}html.theme--documenter-dark .button .icon:first-child:last-child{margin-left:calc(-0.5em - 1px);margin-right:calc(-0.5em - 1px)}html.theme--documenter-dark .button:hover,html.theme--documenter-dark .button.is-hovered{border-color:#8c9b9d;color:#f2f2f2}html.theme--documenter-dark .button:focus,html.theme--documenter-dark .button.is-focused{border-color:#8c9b9d;color:#17a689}html.theme--documenter-dark .button:focus:not(:active),html.theme--documenter-dark .button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(26,188,156,0.25)}html.theme--documenter-dark .button:active,html.theme--documenter-dark .button.is-active{border-color:#343c3d;color:#f2f2f2}html.theme--documenter-dark .button.is-text{background-color:transparent;border-color:transparent;color:#fff;text-decoration:underline}html.theme--documenter-dark .button.is-text:hover,html.theme--documenter-dark .button.is-text.is-hovered,html.theme--documenter-dark .button.is-text:focus,html.theme--documenter-dark .button.is-text.is-focused{background-color:#282f2f;color:#f2f2f2}html.theme--documenter-dark .button.is-text:active,html.theme--documenter-dark .button.is-text.is-active{background-color:#1d2122;color:#f2f2f2}html.theme--documenter-dark .button.is-text[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-text{background-color:transparent;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-ghost{background:none;border-color:rgba(0,0,0,0);color:#1abc9c;text-decoration:none}html.theme--documenter-dark .button.is-ghost:hover,html.theme--documenter-dark .button.is-ghost.is-hovered{color:#1abc9c;text-decoration:underline}html.theme--documenter-dark .button.is-white{background-color:#fff;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:hover,html.theme--documenter-dark .button.is-white.is-hovered{background-color:#f9f9f9;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:focus,html.theme--documenter-dark .button.is-white.is-focused{border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white:focus:not(:active),html.theme--documenter-dark .button.is-white.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(255,255,255,0.25)}html.theme--documenter-dark .button.is-white:active,html.theme--documenter-dark .button.is-white.is-active{background-color:#f2f2f2;border-color:transparent;color:#0a0a0a}html.theme--documenter-dark .button.is-white[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white{background-color:#fff;border-color:#fff;box-shadow:none}html.theme--documenter-dark .button.is-white.is-inverted{background-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-hovered{background-color:#000}html.theme--documenter-dark .button.is-white.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-white.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:hover,html.theme--documenter-dark .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus,html.theme--documenter-dark .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus:not(:active),html.theme--documenter-dark .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--documenter-dark .button.is-black:active,html.theme--documenter-dark .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:#ecf0f1;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:#282f2f;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content 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.button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fdeeec;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#fce3e0;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#fcd8d5;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content 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html.theme--documenter-dark .navbar-dropdown,html.theme--documenter-dark .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--documenter-dark .navbar-dropdown.is-right{left:auto;right:0}html.theme--documenter-dark .navbar-divider{display:block}html.theme--documenter-dark .navbar>.container .navbar-brand,html.theme--documenter-dark .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--documenter-dark .navbar>.container .navbar-menu,html.theme--documenter-dark .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop,html.theme--documenter-dark .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--documenter-dark 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a.navbar-item.is-active:not(:focus):not(:hover),html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--documenter-dark .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--documenter-dark .pagination{font-size:1rem;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.75rem}html.theme--documenter-dark .pagination.is-medium{font-size:1.25rem}html.theme--documenter-dark .pagination.is-large{font-size:1.5rem}html.theme--documenter-dark .pagination.is-rounded .pagination-previous,html.theme--documenter-dark #documenter .docs-sidebar 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.hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/previews/PR94/assets/themeswap.js b/previews/PR94/assets/themeswap.js new file mode 100644 index 0000000..9f5eebe --- /dev/null +++ b/previews/PR94/assets/themeswap.js @@ -0,0 +1,84 @@ +// Small function to quickly swap out themes. Gets put into the tag.. +function set_theme_from_local_storage() { + // Initialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if (window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the users preference is for dark color scheme + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + if (ss.ownerNode.getAttribute("data-theme-primary") !== null) { + primaryLightTheme = themename; + } + // Check if the theme is primary dark theme so that we could store its name in darkTheme + if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) { + primaryDarkTheme = themename; + } + // If we find a matching theme (and it's not the default), we'll set active to non-null + if (themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if (themename !== theme) disabled.push(ss); + } + var activeTheme = null; + if (active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName("html")[0].className = "theme--" + theme; + activeTheme = theme; + } else { + // If we did _not_ find an active theme, then we need to fall back to the primary theme + // which can either be dark or light, depending on the user's OS preference. + var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme; + // In case it somehow happens that the relevant primary theme was not found in the + // preceding loop, we abort without doing anything. + if (activeTheme === null) { + console.error("Unable to determine primary theme."); + return; + } + // When switching to the primary light theme, then we must not have a class name + // for the tag. That's only for non-primary or the primary dark theme. + if (darkPreference) { + document.getElementsByTagName("html")[0].className = + "theme--" + activeTheme; + } else { + document.getElementsByTagName("html")[0].className = ""; + } + } + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); + } +} +set_theme_from_local_storage(); diff --git a/previews/PR94/assets/warner.js b/previews/PR94/assets/warner.js new file mode 100644 index 0000000..3f6f5d0 --- /dev/null +++ b/previews/PR94/assets/warner.js @@ -0,0 +1,52 @@ +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return; + } + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return; + } + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement("meta"); + meta.name = "robots"; + meta.content = "noindex"; + + document.getElementsByTagName("head")[0].appendChild(meta); + } + + const div = document.createElement("div"); + div.classList.add("outdated-warning-overlay"); + const closer = document.createElement("button"); + closer.classList.add("outdated-warning-closer", "delete"); + closer.addEventListener("click", function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + "/../" + window.DOCUMENTER_STABLE; + div.innerHTML = + 'This documentation is not for the latest stable release, but for either the development version or an older release.
Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", maybeAddWarning); +} else { + maybeAddWarning(); +} diff --git a/previews/PR94/examples/bball/index.html b/previews/PR94/examples/bball/index.html new file mode 100644 index 0000000..f6920ff --- /dev/null +++ b/previews/PR94/examples/bball/index.html @@ -0,0 +1,2 @@ + +Bouncing ball · SpaceExParser.jl
GitHub
diff --git a/previews/PR94/examples/examples/index.html b/previews/PR94/examples/examples/index.html new file mode 100644 index 0000000..afe182b --- /dev/null +++ b/previews/PR94/examples/examples/index.html @@ -0,0 +1,23 @@ + +Introduction · SpaceExParser.jl
GitHub

Introduction

The folder /examples contains a collection of model files that are available from different sources:

  • SpaceEx webpage, small selection of examples that is part of the VM Server distribution and can be executed directly from the SpaceEx web interface.

Remarks

The examples consist of single hybrid automata that are constructed via flattening (parallel composition). This can be done via SpaceEx executable file with the command

spaceex -g name.cfg -m name.xml --output-system-file new_name.xml

However, note that the flattening process changes the original model and may induce parsing errors. The parsing errors only appear when the constructed model is visualized/analyzed with the Model Editor or/and the Web Interface. There are no parsing errors with the source code/executable SpaceEx. A list of identified parsing problems follows below.

  1. Special symbols, e.g. ~, _ in the variable and location names
  2. Special characters, e.g. Greek or Russian letters
  3. Nondeterministic flows, e.g. x'==x+w1, where 0<w1<0.1 (see bball_nondet)
  4. Nondeterministic resets, e.g. v' == -0.75*v+w2 (see bball_nondet)
  5. Naming issues, e.g. default variable name is component.subcomponent.variable

The aforementioned problems would yield errors/warnings when parsed.

1. ERROR | in component 'osc_w_4th_order' the string 'osc.osci.hop'
+doesn't match NAME pattern [a-zA-Z_][a-zA-Z0-9_]* >>> element
+label removed
+
+2. Error: name="pp-always-always-always-always" value doesn't match
+NAME pattern [a-zA-Z_][a-zA-Z0-9_]*>>> set to default: "unnamed"
+
+3. ERROR |  new LOCATION with name= 'unnamed'; name already exist,
+renamed in 'unnamed2'
+
+4. ERROR: Failed to parse model file phpxbMjAb.xml.
+caused by: Could not parse base component system.
+caused by: Failed to parse flow of location always.
+caused by: Could not parse predicate
+
+5. Constructed Reset: x' == x & v' == -0.75*v with offset
+support_function ( w1 >= -0.0499999 & w1 <= 0.0499999 &
+w2 >= -0.0999999 & w2 <= 0.0999999, mapped by x' == 0 & v' == w2 )
+
+6. Constructed Flow:  x' == v & v' == -0.999999 with offset
+support_function(x >= 0 & SLACK2 <= 0.0999999 & SLACK2 >= 0 &
+SLACK4 <= 0.199999 & SLACK4 >= 0, mapped by x' == 0 & v' == -SLACK2+0.0499999 )
diff --git a/previews/PR94/index.html b/previews/PR94/index.html new file mode 100644 index 0000000..121dfe4 --- /dev/null +++ b/previews/PR94/index.html @@ -0,0 +1,2 @@ + +Home · SpaceExParser.jl
GitHub

SpaceExParser.jl

SpaceExParser is a Julia package to read SpaceEx modeling files.

The SpaceEx modeling language (SpaceExParser) is a format for the mathematical description of hybrid dynamical systems. It has been described in The SpaceEx Modeling Language, Scott Cotton, Goran Frehse, Olivier Lebeltel. See also An Introduction to SpaceEx, Goran Frehse, 2010.

A visual model editor is available for download on the SpaceEx website. See the examples in this documentation for screenshots and further details.

The aim of this library is to read SpaceExParser modeling files and transform them into Julia objects, for their inspection and analysis, such as reachability computations.

Features

  • Parse SpaceExParser files into types defined in Julia packages HybridSystems.jl and MathematicalSystems.jl.
  • Can read arbitrary ODEs, eg. non-linear dynamics in the ODE flow for each mode.

Library Outline

diff --git a/previews/PR94/lib/methods/index.html b/previews/PR94/lib/methods/index.html new file mode 100644 index 0000000..d33d4fb --- /dev/null +++ b/previews/PR94/lib/methods/index.html @@ -0,0 +1,123 @@ + +Methods · SpaceExParser.jl
GitHub

Methods

This section describes systems methods implemented in SpaceExParser.jl.

Input/Output

SpaceExParser.readsxmodel — Function
readsxmodel(file; raw_dict=false, ST=ConstrainedLinearControlContinuousSystem, kwargs...)

Read a SpaceExParser model file.

Input

  • file – the filename of the SpaceExParser file (in XML format)
  • raw_dict – (optional, default: false) if true, return the raw dictionary with the objects that define the model (see Output below), without actually returning a HybridSystem; otherwise, instantiate a HybridSystem with the given assumptions
  • ST – (optional, default: nothing) assumption for the type of mathematical system for each mode

Output

Hybrid system that corresponds to the given SpaceExParser model and the given assumptions on the system type if raw_dict=true; otherwise, a dictionary with the Julia expression objects that define the model. The keys of this dictionary are:

  • automaton
  • variables
  • transitionlabels
  • invariants
  • flows
  • assignments
  • guards
  • switchings
  • nlocations
  • ntransitions

Notes

Currently, this function makes the following assumptions:

  1. The model contains only 1 component. If the model contains more than 1 component, an error is raised. In this case, recall that network components can be flattened using sspaceex.
  2. The default and a custom ST parameter assume that all modes are of the same type. In general, you may pass a vector of system's types in kwargs (not implemented).

Moreover, let us note that:

  1. The tags `<notes> ... <

otes>` are ignored.

  1. Variable names are stored in the dictionary variables, together with other information such as if the variable is controlled or not. This dictionary is then stored in the extension field (ext) of the hybrid system.
  2. The transition labels are stored in the extension field (ext) of the hybrid system.
  3. We use the location "id" field (an integer), such that each of the vectors modes, resetmaps and switchings corresponds to the location with the given "id". For example, modes[1] corresponds to the mode for the location with id="1".
  4. The name field of a location is ignored.
  5. The nature of the switchings is autonomous. If there are guards, these define state-dependent switchings only. Switching control functions are not yet implemented.
  6. The resetmaps field consists of the vector of tuples (assignment, guard), for each location.

These comments apply whenever raw_dict=false:

  1. The field variables is an ordered dictionary, where the order is given by the insertion order. This allows deterministic iteration over the dictionary, (notice that in a usual dictionary, the order in which the elements are returned does not correspond, in general, to the order in which the symbols were saved). The variables are stored in the coefficients matrix using this insertion order.
  2. If ST is nothing, the modes are given as the vector of tuples (flows, invariants), each component being a list of expressions, and similarly the reset maps are the vector of tuples (assignments, guards).
source
SpaceExParser.linearHS — Function
linearHS(HDict; ST=ConstrainedLinearControlContinuousSystem,
+         STD=ConstrainedLinearControlDiscreteSystem,
+         kwargs...)

Convert the given hybrid system objects into a concrete system type for each node, and Julia expressions into SymEngine symbolic expressions.

Input

  • HDict – raw dictionary of hybrid system objects
  • ST – (optional, default: ConstrainedLinearControlContinuousSystem) assumption for the type of mathematical system for each mode
  • STD – (optional, default: ConstrainedLinearControlDiscreteSystem) assumption for the type of mathematical system for the assignments and guards

Output

The tuple (modes, resetmaps).

Notes

  1. "Controlled" variables are interpreted as state variables (there is an ODE flow for them), otherwise these are interpreted as input variables (there is not an ODE for them).
  2. If the system has nonlinearities, then some first order derivatives cannot be evaluated to numbers, and this function does not apply. In that case, you will see the error message: ArgumentError: symbolic value cannot be evaluated to a numeric value.
  3. We assume that inequalities in invariants are of the form ax <= b or ax >= b, where b is a scalar value. Other combinations are NOT yet supported.
  4. In inequalities, x is a vector of variables of two different types only: either all of them are state variables, or all of them are input variables. Other combinations are not yet allowed.
  5. Strict and non-strict inequalities are treated as being the same: both are mapped to half-spaces.
source

Parsing the SpaceExParser language

SpaceExParser.count_locations_and_transitions — Function
count_locations_and_transitions(root_sxmodel)

Returns the number of locations and transitions for each component.

Input

  • root_sxmodel – the root element of a SpaceExParser file

Output

Two vectors of integers (lcount, tcount), where the i-th entry of lcount and tcount are the number of locations and transitions, respectively, of the i-th component.

source
SpaceExParser.parse_sxmath — Function
parse_sxmath(s; assignment=false)

Returns the list of expressions corresponding to a given SpaceExParser string.

Input

  • s – string
  • assignment – (optional, default: false)

Output

Vector of expressions, equations or inequalities.

Examples

julia> using SpaceExParser: parse_sxmath
+
+julia> parse_sxmath("x >= 0")
+1-element Vector{Expr}:
+ :(x >= 0)
+
+julia> parse_sxmath("x' == x & v' == -0.75*v")
+2-element Vector{Expr}:
+ :(x' = x)
+ :(v' = -0.75v)
+
+julia> parse_sxmath("x == 0 & v <= 0")
+2-element Vector{Expr}:
+ :(x = 0)
+ :(v <= 0)

Parentheses are ignored:

julia> parse_sxmath("(x == 0) & (v <= 0)")
+2-element Vector{Expr}:
+ :(x = 0)
+ :(v <= 0)

Splitting is also performend over double ampersand symbols:

julia> parse_sxmath("x == 0 && v <= 0")
+2-element Vector{Expr}:
+ :(x = 0)
+ :(v <= 0)

If you want to parse an assignment, use the assignment flag:

julia> parse_sxmath("x := -x*0.1", assignment=true)
+1-element Vector{Expr}:
+ :(x = -x * 0.1)

Check that we can parse expressions involving parentheses:

julia> parse_sxmath("(t <= 125 & y>= -100)")
+2-element Vector{Expr}:
+ :(t <= 125)
+ :(y >= -100)
+julia> parse_sxmath("t <= 125 & (y>= -100)")
+2-element Vector{Expr}:
+ :(t <= 125)
+ :(y >= -100)

Algorithm

First a sanity check (assertion) is made that the expression makes a coherent use of parentheses.

Then, the following steps are done (in the given order):

  • split the string with the & key, or &&
  • remove trailing whitespace of each substring
  • replace double == with single =
  • detect unbalanced parentheses (beginning and final subexpressions) and in that case delete them
  • cast to a Julia expression with parse

Notes

For assignments, the nomenclature := is also valid and here it is replaced to =, but you need to set assignment=true for this replacement to take effect.

The characters '(' and ')' are deleted (replaced by the empty character), whenever it is found that there are unbalanced parentheses after the expression is split into subexpressions.

source
SpaceExParser.parse_sxmodel! — Function
parse_sxmodel!(root_sxmodel, HDict)

Input

  • root_sxmodel – root element of an XML document
  • HDict – dictionary that wraps the hybrid model and contains the keys (automaton, variables, transitionlabels, invariants, flows, assignments, guards, switchings, nlocations, ntransitions)

Output

The HDict dictionary.

Notes

  1. Edge labels are not used and their symbol is (arbitrarily) set to the integer 1.
  2. Location identifications ("id" field) are assumed to be integers.
  3. The switchings types are assumed to be autonomous. See Switching in Systems and Control, D. Liberzon, for further details on the classification of switchings.
  4. We add fresh variables for each component (id_variable += 1). In general variables can be shared among components if the bindings are defined. Currently, we make the simplifying assumption that the model has only one component and we don't take bindings into account.
source
SpaceExParser.add_variable! — Function
add_variable!(variables, field, id=1)

Input

  • variables – vector of symbolic variables
  • field – an EzXML.Node node with containing information about a param field
  • id – (optional, default: 1) integer that identifies the variable

Output

The updated vector of symbolic variables.

Notes

Parameters can be either variable names (type "real") or labels (type "label").

source
SpaceExParser.add_transition_label! — Function
add_transition_label!(labels, field)

Input

  • labels – vector of transition labels
  • field – node with a param label field

Output

The updated vector of transition labels.

source
SpaceExParser.parse_location — Function
parse_location(field)

Input

  • field – location node

Output

The tuple (id, invariant, flow) where:

  • id is the integer that identifies the location,
  • invariant is the list of subexpressions that determine that invariant for this location,
  • flow is the list of ODEs that define the flow for this location.

Both the invariant and the flow are vectors of symbolic expressions Expr.

source
SpaceExParser.parse_transition — Function
parse_transition(field)

Input

  • field – transition node

Output

The tuple (q, r, G, A) where q and r are the source mode and target mode respectively for this transition, G is the list of guards for this transition, and A is the list of assignments. G and A are vectors of symbolic expressions Expr.

Notes

It is assumed that the "source" and "target" fields can be cast to integers.

It can happen that the given transition does not contain the "guard" field (or the "assignment", or both); in that case this function returns an empty of expressions for those cases.

source

Conversion of symbolic expressions into sets

Base.convert — Function
convert(::Type{HalfSpace{N}}, expr::Expr; vars=nothing) where {N}

Return a LazySet.HalfSpace given a symbolic expression that represents a half-space.

Input

  • expr – a symbolic expression
  • vars – (optional, default: nothing): set of variables with respect to which the gradient is taken; if nothing, it takes the free symbols in the given expression

Output

A HalfSpace, in the form ax <= b.

Examples

julia> using LazySets: HalfSpace
+
+julia> convert(HalfSpace, :(x1 <= -0.03))
+HalfSpace{Float64, Vector{Float64}}([1.0], -0.03)
+
+julia> convert(HalfSpace, :(x1 < -0.03))
+HalfSpace{Float64, Vector{Float64}}([1.0], -0.03)
+
+julia> convert(HalfSpace, :(x1 > -0.03))
+HalfSpace{Float64, Vector{Float64}}([-1.0], 0.03)
+
+julia> convert(HalfSpace, :(x1 >= -0.03))
+HalfSpace{Float64, Vector{Float64}}([-1.0], 0.03)
+
+julia> convert(HalfSpace, :(x1 + x2 <= 2*x4 + 6))
+HalfSpace{Float64, Vector{Float64}}([1.0, 1.0, -2.0], 6.0)

You can also specify the set of "ambient" variables, even if not all of them appear:

julia> using SymEngine: Basic
+
+julia> convert(HalfSpace, :(x1 + x2 <= 2*x4 + 6), vars=Basic[:x1, :x2, :x3, :x4])
+HalfSpace{Float64, Vector{Float64}}([1.0, 1.0, 0.0, -2.0], 6.0)
source
convert(::Type{Hyperplane{N}}, expr::Expr; vars=nothing) where {N}

Return a LazySet.Hyperplane given a symbolic expression that represents a hyperplane.

Input

  • expr – a symbolic expression
  • vars – (optional, default: nothing): set of variables with respect to which the gradient is taken; if nothing, it takes the free symbols in the given expression

Output

A Hyperplane, in the form ax = b.

Examples

julia> using LazySets: Hyperplane
+
+julia> convert(Hyperplane, :(x1 = -0.03))
+Hyperplane{Float64, Vector{Float64}}([1.0], -0.03)
+
+julia> convert(Hyperplane, :(x1 + 0.03 = 0))
+Hyperplane{Float64, Vector{Float64}}([1.0], -0.03)
+
+julia> convert(Hyperplane, :(x1 + x2 = 2*x4 + 6))
+Hyperplane{Float64, Vector{Float64}}([1.0, 1.0, -2.0], 6.0)

You can also specify the set of "ambient" variables in the hyperplane, even if not all of them appear:

julia> using SymEngine: Basic
+
+julia> convert(Hyperplane, :(x1 + x2 = 2*x4 + 6), vars=Basic[:x1, :x2, :x3, :x4])
+Hyperplane{Float64, Vector{Float64}}([1.0, 1.0, 0.0, -2.0], 6.0)
source
SymEngine.free_symbols — Function
free_symbols(expr::Expr, set_type::Type{LazySet})

Return the free symbols in an expression that represents a given set type.

Input

  • expr – symbolic expression

Output

A list of symbols, in the form of SymEngine Basic objects.

Examples

julia> using SpaceExParser: free_symbols
+
+julia> using LazySets: HalfSpace
+
+julia> free_symbols(:(x1 <= -0.03), HalfSpace)
+1-element Vector{SymEngine.Basic}:
+ x1
+
+julia> free_symbols(:(x1 + x2 <= 2*x4 + 6), HalfSpace)
+3-element Vector{SymEngine.Basic}:
+ x2
+ x1
+ x4
source
SpaceExParser.is_halfspace — Function
is_halfspace(expr::Expr)

Determine whether the given expression corresponds to a half-space.

Input

  • expr – a symbolic expression

Output

true if expr corresponds to a half-space or false otherwise.

Examples

julia> using SpaceExParser: is_halfspace
+
+julia> all(is_halfspace.([:(x1 <= 0), :(x1 < 0), :(x1 > 0), :(x1 >= 0)]))
+true
+
+julia> is_halfspace(:(2*x1 <= 4))
+true
+
+julia> is_halfspace(:(6.1 <= 5.3*f - 0.1*g))
+true
+
+julia> is_halfspace(:(2*x1^2 <= 4))
+false
+
+julia> is_halfspace(:(x1^2 > 4*x2 - x3))
+false
+
+julia> is_halfspace(:(x1 > 4*x2 - x3))
+true
source
SpaceExParser.is_hyperplane — Function
is_hyperplane(expr::Expr)

Determine whether the given expression corresponds to a hyperplane.

Input

  • expr – a symbolic expression

Output

true if expr corresponds to a half-space or false otherwise.

Examples

julia> using SpaceExParser: is_hyperplane
+
+julia> is_hyperplane(:(x1 = 0))
+true
+
+julia> is_hyperplane(:(2*x1 = 4))
+true
+
+julia> is_hyperplane(:(6.1 = 5.3*f - 0.1*g))
+true
+
+julia> is_hyperplane(:(2*x1^2 = 4))
+false
+
+julia> is_hyperplane(:(x1^2 = 4*x2 - x3))
+false
+
+julia> is_hyperplane(:(x1 = 4*x2 - x3))
+true
source
SpaceExParser.is_linearcombination — Function

is_linearcombination(L::Basic)

Determine whether the expression L is a linear combination of its symbols.

Input

  • L – expression

Output

true if L is a linear combination or false otherwise.

Examples

julia> using SpaceExParser: is_linearcombination
+
+julia> is_linearcombination(:(2*x1 - 4))
+true
+
+julia> is_linearcombination(:(6.1 - 5.3*f - 0.1*g))
+true
+
+julia> is_linearcombination(:(2*x1^2))
+false
+
+julia> is_linearcombination(:(x1^2 - 4*x2 + x3 + 2))
+false
source
diff --git a/previews/PR94/lib/types/index.html b/previews/PR94/lib/types/index.html new file mode 100644 index 0000000..384c482 --- /dev/null +++ b/previews/PR94/lib/types/index.html @@ -0,0 +1,2 @@ + +Types · SpaceExParser.jl
GitHub

Types

This section describes systems types implemented in SpaceExParser.jl.

diff --git a/previews/PR94/search_index.js b/previews/PR94/search_index.js new file mode 100644 index 0000000..43c621d --- /dev/null +++ b/previews/PR94/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"about/#About","page":"About","title":"About","text":"","category":"section"},{"location":"about/","page":"About","title":"About","text":"This page contains some general information about this project, and recommendations about contributing.","category":"page"},{"location":"about/","page":"About","title":"About","text":"Pages = [\"about.md\"]","category":"page"},{"location":"about/#Contributing","page":"About","title":"Contributing","text":"","category":"section"},{"location":"about/","page":"About","title":"About","text":"If you like this package, consider contributing!","category":"page"},{"location":"about/","page":"About","title":"About","text":"Creating an issue in the GitHub issue tracker to report a bug, open a discussion about existing functionality, or suggesting new functionality is appreciated.","category":"page"},{"location":"about/","page":"About","title":"About","text":"If you have written code and would like it to be peer reviewed and added to the library, you can fork the repository and send a pull request (see below). Typical contributions include fixing a bug, adding a new feature or improving the documentation (either in source code or the online manual).","category":"page"},{"location":"about/","page":"About","title":"About","text":"Below we detail some general comments about contributing to this package. The JuliaReach Developer's Documentation describes coding guidelines; take a look when in doubt about the coding style that is expected for the code that is finally merged into the library.","category":"page"},{"location":"about/#Branches","page":"About","title":"Branches","text":"","category":"section"},{"location":"about/","page":"About","title":"About","text":"Each pull request (PR) should be pushed in a new branch with the name of the author followed by a descriptive name, e.g. mforets/my_feature. If the branch is associated to a previous discussion in one issue, we use the name of the issue for easier lookup, e.g. mforets/7.","category":"page"},{"location":"about/#Unit-testing-and-continuous-integration-(CI)","page":"About","title":"Unit testing and continuous integration (CI)","text":"","category":"section"},{"location":"about/","page":"About","title":"About","text":"This project is synchronized with GitHub Actions such that each PR gets tested before merging (and the build is automatically triggered after each new commit). For the maintainability of this project, it is important to make all unit tests pass.","category":"page"},{"location":"about/","page":"About","title":"About","text":"To run the unit tests locally, you can do:","category":"page"},{"location":"about/","page":"About","title":"About","text":"julia> using Pkg\n\njulia> Pkg.test(\"ReachabilityBase\")","category":"page"},{"location":"about/","page":"About","title":"About","text":"We also advise adding new unit tests when adding new features to ensure long-term support of your contributions.","category":"page"},{"location":"about/#Contributing-to-the-documentation","page":"About","title":"Contributing to the documentation","text":"","category":"section"},{"location":"about/","page":"About","title":"About","text":"This documentation is written in Markdown, and it relies on Documenter.jl to produce the HTML layout. To build the docs, run make.jl:","category":"page"},{"location":"about/","page":"About","title":"About","text":"$ julia --color=yes docs/make.jl","category":"page"},{"location":"about/#Credits","page":"About","title":"Credits","text":"","category":"section"},{"location":"about/","page":"About","title":"About","text":"These persons have contributed to SpaceExParser.jl (in alphabetic order):","category":"page"},{"location":"about/","page":"About","title":"About","text":"Marcelo Forets\nNikos Kekatos\nChristian Schilling","category":"page"},{"location":"examples/examples/#Introduction","page":"Introduction","title":"Introduction","text":"","category":"section"},{"location":"examples/examples/","page":"Introduction","title":"Introduction","text":"Pages = [\"examples.md\"]\nDepth = 3","category":"page"},{"location":"examples/examples/","page":"Introduction","title":"Introduction","text":"The folder /examples contains a collection of model files that are available from different sources:","category":"page"},{"location":"examples/examples/","page":"Introduction","title":"Introduction","text":"SpaceEx webpage, small selection of examples that is part of the VM Server distribution and can be executed directly from the SpaceEx web interface.","category":"page"},{"location":"examples/examples/#Remarks","page":"Introduction","title":"Remarks","text":"","category":"section"},{"location":"examples/examples/","page":"Introduction","title":"Introduction","text":"The examples consist of single hybrid automata that are constructed via flattening (parallel composition). This can be done via SpaceEx executable file with the command","category":"page"},{"location":"examples/examples/","page":"Introduction","title":"Introduction","text":"spaceex -g name.cfg -m name.xml --output-system-file new_name.xml","category":"page"},{"location":"examples/examples/","page":"Introduction","title":"Introduction","text":"However, note that the flattening process changes the original model and may induce parsing errors. The parsing errors only appear when the constructed model is visualized/analyzed with the Model Editor or/and the Web Interface. There are no parsing errors with the source code/executable SpaceEx. A list of identified parsing problems follows below.","category":"page"},{"location":"examples/examples/","page":"Introduction","title":"Introduction","text":"Special symbols, e.g. ~, _ in the variable and location names\nSpecial characters, e.g. Greek or Russian letters\nNondeterministic flows, e.g. x'==x+w1, where 0>> element\nlabel removed\n\n2. Error: name=\"pp-always-always-always-always\" value doesn't match\nNAME pattern [a-zA-Z_][a-zA-Z0-9_]*>>> set to default: \"unnamed\"\n\n3. ERROR | new LOCATION with name= 'unnamed'; name already exist,\nrenamed in 'unnamed2'\n\n4. ERROR: Failed to parse model file phpxbMjAb.xml.\ncaused by: Could not parse base component system.\ncaused by: Failed to parse flow of location always.\ncaused by: Could not parse predicate\n\n5. Constructed Reset: x' == x & v' == -0.75*v with offset\nsupport_function ( w1 >= -0.0499999 & w1 <= 0.0499999 &\nw2 >= -0.0999999 & w2 <= 0.0999999, mapped by x' == 0 & v' == w2 )\n\n6. Constructed Flow: x' == v & v' == -0.999999 with offset\nsupport_function(x >= 0 & SLACK2 <= 0.0999999 & SLACK2 >= 0 &\nSLACK4 <= 0.199999 & SLACK4 >= 0, mapped by x' == 0 & v' == -SLACK2+0.0499999 )","category":"page"},{"location":"lib/types/#Types","page":"Types","title":"Types","text":"","category":"section"},{"location":"lib/types/","page":"Types","title":"Types","text":"This section describes systems types implemented in SpaceExParser.jl.","category":"page"},{"location":"lib/types/","page":"Types","title":"Types","text":"Pages = [\"types.md\"]\nDepth = 3","category":"page"},{"location":"lib/types/","page":"Types","title":"Types","text":"CurrentModule = SpaceExParser","category":"page"},{"location":"#SpaceExParser.jl","page":"Home","title":"SpaceExParser.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"SpaceExParser is a Julia package to read SpaceEx modeling files.","category":"page"},{"location":"","page":"Home","title":"Home","text":"The SpaceEx modeling language (SpaceExParser) is a format for the mathematical description of hybrid dynamical systems. It has been described in The SpaceEx Modeling Language, Scott Cotton, Goran Frehse, Olivier Lebeltel. See also An Introduction to SpaceEx, Goran Frehse, 2010.","category":"page"},{"location":"","page":"Home","title":"Home","text":"A visual model editor is available for download on the SpaceEx website. See the examples in this documentation for screenshots and further details.","category":"page"},{"location":"","page":"Home","title":"Home","text":"The aim of this library is to read SpaceExParser modeling files and transform them into Julia objects, for their inspection and analysis, such as reachability computations.","category":"page"},{"location":"#Features","page":"Home","title":"Features","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Parse SpaceExParser files into types defined in Julia packages HybridSystems.jl and MathematicalSystems.jl.\nCan read arbitrary ODEs, eg. non-linear dynamics in the ODE flow for each mode.","category":"page"},{"location":"#Library-Outline","page":"Home","title":"Library Outline","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Pages = [\n \"lib/types.md\",\n \"lib/methods.md\"\n]\nDepth = 2","category":"page"},{"location":"examples/bball/#Bouncing-ball","page":"Bouncing ball","title":"Bouncing ball","text":"","category":"section"},{"location":"examples/bball/","page":"Bouncing ball","title":"Bouncing ball","text":"Pages = [\"bball.md\"]\nDepth = 3","category":"page"},{"location":"examples/bball/","page":"Bouncing ball","title":"Bouncing ball","text":"(Image: Bouncing ball model)","category":"page"},{"location":"lib/methods/#Methods","page":"Methods","title":"Methods","text":"","category":"section"},{"location":"lib/methods/","page":"Methods","title":"Methods","text":"This section describes systems methods implemented in SpaceExParser.jl.","category":"page"},{"location":"lib/methods/","page":"Methods","title":"Methods","text":"Pages = [\"methods.md\"]\nDepth = 3","category":"page"},{"location":"lib/methods/","page":"Methods","title":"Methods","text":"CurrentModule = SpaceExParser","category":"page"},{"location":"lib/methods/#Input/Output","page":"Methods","title":"Input/Output","text":"","category":"section"},{"location":"lib/methods/","page":"Methods","title":"Methods","text":"readsxmodel\nlinearHS","category":"page"},{"location":"lib/methods/#SpaceExParser.readsxmodel","page":"Methods","title":"SpaceExParser.readsxmodel","text":"readsxmodel(file; raw_dict=false, ST=ConstrainedLinearControlContinuousSystem, kwargs...)\n\nRead a SpaceExParser model file.\n\nInput\n\nfile – the filename of the SpaceExParser file (in XML format)\nraw_dict – (optional, default: false) if true, return the raw dictionary with the objects that define the model (see Output below), without actually returning a HybridSystem; otherwise, instantiate a HybridSystem with the given assumptions\nST – (optional, default: nothing) assumption for the type of mathematical system for each mode\n\nOutput\n\nHybrid system that corresponds to the given SpaceExParser model and the given assumptions on the system type if raw_dict=true; otherwise, a dictionary with the Julia expression objects that define the model. The keys of this dictionary are:\n\nautomaton\nvariables\ntransitionlabels\ninvariants\nflows\nassignments\nguards\nswitchings\nnlocations\nntransitions\n\nNotes\n\nCurrently, this function makes the following assumptions:\n\nThe model contains only 1 component. If the model contains more than 1 component, an error is raised. In this case, recall that network components can be flattened using sspaceex.\nThe default and a custom ST parameter assume that all modes are of the same type. In general, you may pass a vector of system's types in kwargs (not implemented).\n\nMoreover, let us note that:\n\nThe tags ` ... <\n\notes>` are ignored.\n\nVariable names are stored in the dictionary variables, together with other information such as if the variable is controlled or not. This dictionary is then stored in the extension field (ext) of the hybrid system.\nThe transition labels are stored in the extension field (ext) of the hybrid system.\nWe use the location \"id\" field (an integer), such that each of the vectors modes, resetmaps and switchings corresponds to the location with the given \"id\". For example, modes[1] corresponds to the mode for the location with id=\"1\".\nThe name field of a location is ignored.\nThe nature of the switchings is autonomous. If there are guards, these define state-dependent switchings only. Switching control functions are not yet implemented.\nThe resetmaps field consists of the vector of tuples (assignment, guard), for each location.\n\nThese comments apply whenever raw_dict=false:\n\nThe field variables is an ordered dictionary, where the order is given by the insertion order. This allows deterministic iteration over the dictionary, (notice that in a usual dictionary, the order in which the elements are returned does not correspond, in general, to the order in which the symbols were saved). The variables are stored in the coefficients matrix using this insertion order.\nIf ST is nothing, the modes are given as the vector of tuples (flows, invariants), each component being a list of expressions, and similarly the reset maps are the vector of tuples (assignments, guards).\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#SpaceExParser.linearHS","page":"Methods","title":"SpaceExParser.linearHS","text":"linearHS(HDict; ST=ConstrainedLinearControlContinuousSystem,\n STD=ConstrainedLinearControlDiscreteSystem,\n kwargs...)\n\nConvert the given hybrid system objects into a concrete system type for each node, and Julia expressions into SymEngine symbolic expressions.\n\nInput\n\nHDict – raw dictionary of hybrid system objects\nST – (optional, default: ConstrainedLinearControlContinuousSystem) assumption for the type of mathematical system for each mode\nSTD – (optional, default: ConstrainedLinearControlDiscreteSystem) assumption for the type of mathematical system for the assignments and guards\n\nOutput\n\nThe tuple (modes, resetmaps).\n\nNotes\n\n\"Controlled\" variables are interpreted as state variables (there is an ODE flow for them), otherwise these are interpreted as input variables (there is not an ODE for them).\nIf the system has nonlinearities, then some first order derivatives cannot be evaluated to numbers, and this function does not apply. In that case, you will see the error message: ArgumentError: symbolic value cannot be evaluated to a numeric value.\nWe assume that inequalities in invariants are of the form ax <= b or ax >= b, where b is a scalar value. Other combinations are NOT yet supported.\nIn inequalities, x is a vector of variables of two different types only: either all of them are state variables, or all of them are input variables. Other combinations are not yet allowed.\nStrict and non-strict inequalities are treated as being the same: both are mapped to half-spaces.\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#Parsing-the-SpaceExParser-language","page":"Methods","title":"Parsing the SpaceExParser language","text":"","category":"section"},{"location":"lib/methods/","page":"Methods","title":"Methods","text":"count_locations_and_transitions\nparse_sxmath\nparse_sxmodel!\nadd_variable!\nadd_transition_label!\nparse_location\nparse_transition","category":"page"},{"location":"lib/methods/#SpaceExParser.count_locations_and_transitions","page":"Methods","title":"SpaceExParser.count_locations_and_transitions","text":"count_locations_and_transitions(root_sxmodel)\n\nReturns the number of locations and transitions for each component.\n\nInput\n\nroot_sxmodel – the root element of a SpaceExParser file\n\nOutput\n\nTwo vectors of integers (lcount, tcount), where the i-th entry of lcount and tcount are the number of locations and transitions, respectively, of the i-th component.\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#SpaceExParser.parse_sxmath","page":"Methods","title":"SpaceExParser.parse_sxmath","text":"parse_sxmath(s; assignment=false)\n\nReturns the list of expressions corresponding to a given SpaceExParser string.\n\nInput\n\ns – string\nassignment – (optional, default: false)\n\nOutput\n\nVector of expressions, equations or inequalities.\n\nExamples\n\njulia> using SpaceExParser: parse_sxmath\n\njulia> parse_sxmath(\"x >= 0\")\n1-element Vector{Expr}:\n :(x >= 0)\n\njulia> parse_sxmath(\"x' == x & v' == -0.75*v\")\n2-element Vector{Expr}:\n :(x' = x)\n :(v' = -0.75v)\n\njulia> parse_sxmath(\"x == 0 & v <= 0\")\n2-element Vector{Expr}:\n :(x = 0)\n :(v <= 0)\n\nParentheses are ignored:\n\njulia> parse_sxmath(\"(x == 0) & (v <= 0)\")\n2-element Vector{Expr}:\n :(x = 0)\n :(v <= 0)\n\nSplitting is also performend over double ampersand symbols:\n\njulia> parse_sxmath(\"x == 0 && v <= 0\")\n2-element Vector{Expr}:\n :(x = 0)\n :(v <= 0)\n\nIf you want to parse an assignment, use the assignment flag:\n\njulia> parse_sxmath(\"x := -x*0.1\", assignment=true)\n1-element Vector{Expr}:\n :(x = -x * 0.1)\n\nCheck that we can parse expressions involving parentheses:\n\njulia> parse_sxmath(\"(t <= 125 & y>= -100)\")\n2-element Vector{Expr}:\n :(t <= 125)\n :(y >= -100)\njulia> parse_sxmath(\"t <= 125 & (y>= -100)\")\n2-element Vector{Expr}:\n :(t <= 125)\n :(y >= -100)\n\nAlgorithm\n\nFirst a sanity check (assertion) is made that the expression makes a coherent use of parentheses.\n\nThen, the following steps are done (in the given order):\n\nsplit the string with the & key, or &&\nremove trailing whitespace of each substring\nreplace double == with single =\ndetect unbalanced parentheses (beginning and final subexpressions) and in that case delete them\ncast to a Julia expression with parse\n\nNotes\n\nFor assignments, the nomenclature := is also valid and here it is replaced to =, but you need to set assignment=true for this replacement to take effect.\n\nThe characters '(' and ')' are deleted (replaced by the empty character), whenever it is found that there are unbalanced parentheses after the expression is split into subexpressions.\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#SpaceExParser.parse_sxmodel!","page":"Methods","title":"SpaceExParser.parse_sxmodel!","text":"parse_sxmodel!(root_sxmodel, HDict)\n\nInput\n\nroot_sxmodel – root element of an XML document\nHDict – dictionary that wraps the hybrid model and contains the keys (automaton, variables, transitionlabels, invariants, flows, assignments, guards, switchings, nlocations, ntransitions)\n\nOutput\n\nThe HDict dictionary.\n\nNotes\n\nEdge labels are not used and their symbol is (arbitrarily) set to the integer 1.\nLocation identifications (\"id\" field) are assumed to be integers.\nThe switchings types are assumed to be autonomous. See Switching in Systems and Control, D. Liberzon, for further details on the classification of switchings.\nWe add fresh variables for each component (id_variable += 1). In general variables can be shared among components if the bindings are defined. Currently, we make the simplifying assumption that the model has only one component and we don't take bindings into account.\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#SpaceExParser.add_variable!","page":"Methods","title":"SpaceExParser.add_variable!","text":"add_variable!(variables, field, id=1)\n\nInput\n\nvariables – vector of symbolic variables\nfield – an EzXML.Node node with containing information about a param field\nid – (optional, default: 1) integer that identifies the variable\n\nOutput\n\nThe updated vector of symbolic variables.\n\nNotes\n\nParameters can be either variable names (type \"real\") or labels (type \"label\").\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#SpaceExParser.add_transition_label!","page":"Methods","title":"SpaceExParser.add_transition_label!","text":"add_transition_label!(labels, field)\n\nInput\n\nlabels – vector of transition labels\nfield – node with a param label field\n\nOutput\n\nThe updated vector of transition labels.\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#SpaceExParser.parse_location","page":"Methods","title":"SpaceExParser.parse_location","text":"parse_location(field)\n\nInput\n\nfield – location node\n\nOutput\n\nThe tuple (id, invariant, flow) where:\n\nid is the integer that identifies the location,\ninvariant is the list of subexpressions that determine that invariant for this location,\nflow is the list of ODEs that define the flow for this location.\n\nBoth the invariant and the flow are vectors of symbolic expressions Expr.\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#SpaceExParser.parse_transition","page":"Methods","title":"SpaceExParser.parse_transition","text":"parse_transition(field)\n\nInput\n\nfield – transition node\n\nOutput\n\nThe tuple (q, r, G, A) where q and r are the source mode and target mode respectively for this transition, G is the list of guards for this transition, and A is the list of assignments. G and A are vectors of symbolic expressions Expr.\n\nNotes\n\nIt is assumed that the \"source\" and \"target\" fields can be cast to integers.\n\nIt can happen that the given transition does not contain the \"guard\" field (or the \"assignment\", or both); in that case this function returns an empty of expressions for those cases.\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#Conversion-of-symbolic-expressions-into-sets","page":"Methods","title":"Conversion of symbolic expressions into sets","text":"","category":"section"},{"location":"lib/methods/","page":"Methods","title":"Methods","text":"convert\nfree_symbols\nis_halfspace\nis_hyperplane\nis_linearcombination","category":"page"},{"location":"lib/methods/#Base.convert","page":"Methods","title":"Base.convert","text":"convert(::Type{HalfSpace{N}}, expr::Expr; vars=nothing) where {N}\n\nReturn a LazySet.HalfSpace given a symbolic expression that represents a half-space.\n\nInput\n\nexpr – a symbolic expression\nvars – (optional, default: nothing): set of variables with respect to which the gradient is taken; if nothing, it takes the free symbols in the given expression\n\nOutput\n\nA HalfSpace, in the form ax <= b.\n\nExamples\n\njulia> using LazySets: HalfSpace\n\njulia> convert(HalfSpace, :(x1 <= -0.03))\nHalfSpace{Float64, Vector{Float64}}([1.0], -0.03)\n\njulia> convert(HalfSpace, :(x1 < -0.03))\nHalfSpace{Float64, Vector{Float64}}([1.0], -0.03)\n\njulia> convert(HalfSpace, :(x1 > -0.03))\nHalfSpace{Float64, Vector{Float64}}([-1.0], 0.03)\n\njulia> convert(HalfSpace, :(x1 >= -0.03))\nHalfSpace{Float64, Vector{Float64}}([-1.0], 0.03)\n\njulia> convert(HalfSpace, :(x1 + x2 <= 2*x4 + 6))\nHalfSpace{Float64, Vector{Float64}}([1.0, 1.0, -2.0], 6.0)\n\nYou can also specify the set of \"ambient\" variables, even if not all of them appear:\n\njulia> using SymEngine: Basic\n\njulia> convert(HalfSpace, :(x1 + x2 <= 2*x4 + 6), vars=Basic[:x1, :x2, :x3, :x4])\nHalfSpace{Float64, Vector{Float64}}([1.0, 1.0, 0.0, -2.0], 6.0)\n\n\n\n\n\nconvert(::Type{Hyperplane{N}}, expr::Expr; vars=nothing) where {N}\n\nReturn a LazySet.Hyperplane given a symbolic expression that represents a hyperplane.\n\nInput\n\nexpr – a symbolic expression\nvars – (optional, default: nothing): set of variables with respect to which the gradient is taken; if nothing, it takes the free symbols in the given expression\n\nOutput\n\nA Hyperplane, in the form ax = b.\n\nExamples\n\njulia> using LazySets: Hyperplane\n\njulia> convert(Hyperplane, :(x1 = -0.03))\nHyperplane{Float64, Vector{Float64}}([1.0], -0.03)\n\njulia> convert(Hyperplane, :(x1 + 0.03 = 0))\nHyperplane{Float64, Vector{Float64}}([1.0], -0.03)\n\njulia> convert(Hyperplane, :(x1 + x2 = 2*x4 + 6))\nHyperplane{Float64, Vector{Float64}}([1.0, 1.0, -2.0], 6.0)\n\nYou can also specify the set of \"ambient\" variables in the hyperplane, even if not all of them appear:\n\njulia> using SymEngine: Basic\n\njulia> convert(Hyperplane, :(x1 + x2 = 2*x4 + 6), vars=Basic[:x1, :x2, :x3, :x4])\nHyperplane{Float64, Vector{Float64}}([1.0, 1.0, 0.0, -2.0], 6.0)\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#SymEngine.free_symbols","page":"Methods","title":"SymEngine.free_symbols","text":"free_symbols(expr::Expr, set_type::Type{LazySet})\n\nReturn the free symbols in an expression that represents a given set type.\n\nInput\n\nexpr – symbolic expression\n\nOutput\n\nA list of symbols, in the form of SymEngine Basic objects.\n\nExamples\n\njulia> using SpaceExParser: free_symbols\n\njulia> using LazySets: HalfSpace\n\njulia> free_symbols(:(x1 <= -0.03), HalfSpace)\n1-element Vector{SymEngine.Basic}:\n x1\n\njulia> free_symbols(:(x1 + x2 <= 2*x4 + 6), HalfSpace)\n3-element Vector{SymEngine.Basic}:\n x2\n x1\n x4\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#SpaceExParser.is_halfspace","page":"Methods","title":"SpaceExParser.is_halfspace","text":"is_halfspace(expr::Expr)\n\nDetermine whether the given expression corresponds to a half-space.\n\nInput\n\nexpr – a symbolic expression\n\nOutput\n\ntrue if expr corresponds to a half-space or false otherwise.\n\nExamples\n\njulia> using SpaceExParser: is_halfspace\n\njulia> all(is_halfspace.([:(x1 <= 0), :(x1 < 0), :(x1 > 0), :(x1 >= 0)]))\ntrue\n\njulia> is_halfspace(:(2*x1 <= 4))\ntrue\n\njulia> is_halfspace(:(6.1 <= 5.3*f - 0.1*g))\ntrue\n\njulia> is_halfspace(:(2*x1^2 <= 4))\nfalse\n\njulia> is_halfspace(:(x1^2 > 4*x2 - x3))\nfalse\n\njulia> is_halfspace(:(x1 > 4*x2 - x3))\ntrue\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#SpaceExParser.is_hyperplane","page":"Methods","title":"SpaceExParser.is_hyperplane","text":"is_hyperplane(expr::Expr)\n\nDetermine whether the given expression corresponds to a hyperplane.\n\nInput\n\nexpr – a symbolic expression\n\nOutput\n\ntrue if expr corresponds to a half-space or false otherwise.\n\nExamples\n\njulia> using SpaceExParser: is_hyperplane\n\njulia> is_hyperplane(:(x1 = 0))\ntrue\n\njulia> is_hyperplane(:(2*x1 = 4))\ntrue\n\njulia> is_hyperplane(:(6.1 = 5.3*f - 0.1*g))\ntrue\n\njulia> is_hyperplane(:(2*x1^2 = 4))\nfalse\n\njulia> is_hyperplane(:(x1^2 = 4*x2 - x3))\nfalse\n\njulia> is_hyperplane(:(x1 = 4*x2 - x3))\ntrue\n\n\n\n\n\n","category":"function"},{"location":"lib/methods/#SpaceExParser.is_linearcombination","page":"Methods","title":"SpaceExParser.is_linearcombination","text":"is_linearcombination(L::Basic)\n\nDetermine whether the expression L is a linear combination of its symbols.\n\nInput\n\nL – expression\n\nOutput\n\ntrue if L is a linear combination or false otherwise.\n\nExamples\n\njulia> using SpaceExParser: is_linearcombination\n\njulia> is_linearcombination(:(2*x1 - 4))\ntrue\n\njulia> is_linearcombination(:(6.1 - 5.3*f - 0.1*g))\ntrue\n\njulia> is_linearcombination(:(2*x1^2))\nfalse\n\njulia> is_linearcombination(:(x1^2 - 4*x2 + x3 + 2))\nfalse\n\n\n\n\n\n","category":"function"}] +} diff --git a/previews/PR94/siteinfo.js b/previews/PR94/siteinfo.js new file mode 100644 index 0000000..1435799 --- /dev/null +++ b/previews/PR94/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "previews/PR94";