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ANKCoreInteger+Division.swift
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//=----------------------------------------------------------------------------=
// This source file is part of the AwesomeNumbersKit open source project.
//
// Copyright (c) 2022 Oscar Byström Ericsson
// Licensed under Apache License, Version 2.0
//
// See http://www.apache.org/licenses/LICENSE-2.0 for license information.
//=----------------------------------------------------------------------------=
#if DEBUG
import ANKCoreKit
import XCTest
//*============================================================================*
// MARK: * ANK x Core Integer x Division
//*============================================================================*
final class ANKCoreIntegerTestsOnDivision: XCTestCase {
typealias T = any ANKCoreInteger.Type
//=------------------------------------------------------------------------=
// MARK: State
//=------------------------------------------------------------------------=
let types: [T] = ANKCoreIntegerTests.types
//=------------------------------------------------------------------------=
// MARK: Tests
//=------------------------------------------------------------------------=
func testDividing() {
func whereIsSigned<T>(_ type: T.Type) where T: ANKCoreInteger {
ANKAssertDivision(T( ), T( 1), T( ), T( ))
ANKAssertDivision(T( ), T( 2), T( ), T( ))
ANKAssertDivision(T( 7), T( 1), T( 7), T( ))
ANKAssertDivision(T( 7), T( 2), T( 3), T( 1))
ANKAssertDivision(T( 7), T( 3), T( 2), T( 1))
ANKAssertDivision(T( 7), T(-3), T(-2), T( 1))
ANKAssertDivision(T(-7), T( 3), T(-2), T(-1))
ANKAssertDivision(T(-7), T(-3), T( 2), T(-1))
}
func whereIsUnsigned<T>(_ type: T.Type) where T: ANKCoreInteger {
ANKAssertDivision(T( ), T( 1), T( ), T( ))
ANKAssertDivision(T( ), T( 2), T( ), T( ))
ANKAssertDivision(T( 7), T( 1), T( 7), T( ))
ANKAssertDivision(T( 7), T( 2), T( 3), T( 1))
}
for type: T in types {
type.isSigned ? whereIsSigned(type) : whereIsUnsigned(type)
}
}
func testDividingReportingOverflow() {
func whereIsSigned<T>(_ type: T.Type) where T: ANKCoreInteger {
ANKAssertDivision(T( ), T( ), T( ), T( ), true)
ANKAssertDivision(T( 1), T( ), T( 1), T( 1), true)
ANKAssertDivision(T( 2), T( ), T( 2), T( 2), true)
ANKAssertDivision(T.min, T(-1), T.min, T( ), true)
ANKAssertDivision(T.max, T(-1), T.min + 1, T( ))
}
func whereIsUnsigned<T>(_ type: T.Type) where T: ANKCoreInteger {
ANKAssertDivision(T( ), T( ), T( ), T( ), true)
ANKAssertDivision(T( 1), T( ), T( 1), T( 1), true)
ANKAssertDivision(T( 2), T( ), T( 2), T( 2), true)
}
for type: T in types {
type.isSigned ? whereIsSigned(type) : whereIsUnsigned(type)
}
}
//=------------------------------------------------------------------------=
// MARK: Tests x Full Width
//=------------------------------------------------------------------------=
func testDividingFullWidth() {
func whereIsSigned<T>(_ type: T.Type) where T: ANKCoreInteger {
typealias M = T.Magnitude
//=----------------------------------=
var dividend: (high: T, low: M)
//=----------------------------------=
dividend.high = T.max / 2
dividend.low = M( 1)
ANKAssertDivisionFullWidth(dividend, T.max, T.max, T( ))
//=----------------------------------=
dividend.high = T.max / 2
dividend.low = M.max / 2
ANKAssertDivisionFullWidth(dividend, T.max, T.max, T.max - 1)
//=----------------------------------=
dividend.high = T.max / 2 + 1
dividend.low = M( )
ANKAssertDivisionFullWidth(dividend, T.min, T.min, T( ))
//=----------------------------------=
dividend.high = T.max / 2 + 1
dividend.low = M.max / 2
ANKAssertDivisionFullWidth(dividend, T.min, T.min, T.max)
}
func whereIsUnsigned<T>(_ type: T.Type) where T: ANKCoreInteger {
typealias M = T.Magnitude
//=----------------------------------=
var dividend: (high: T, low: M)
//=----------------------------------=
dividend.high = T.max - 1
dividend.low = M( 1)
ANKAssertDivisionFullWidth(dividend, T.max, T.max, T( ))
//=----------------------------------=
dividend.high = T.max - 1
dividend.low = M.max
ANKAssertDivisionFullWidth(dividend, T.max, T.max, T.max - 1)
}
for type: T in types {
type.isSigned ? whereIsSigned(type) : whereIsUnsigned(type)
}
}
func testDividingFullWidthReportingOverflow() {
func whereIsSigned<T>(_ type: T.Type) where T: ANKCoreInteger {
typealias M = T.Magnitude
//=----------------------------------=
var dividend: (high: T, low: M)
//=----------------------------------=
dividend.high = T( )
dividend.low = M( 7)
ANKAssertDivisionFullWidth(dividend, T( ), T( 7), T( 7), true)
//=----------------------------------=
dividend.high = T(-1)
dividend.low = M( 7)
ANKAssertDivisionFullWidth(dividend, T( ), T( 7), T( 7), true)
//=--------------------------------------=
dividend.high = T(-1)
dividend.low = M.max
ANKAssertDivisionFullWidth(dividend, T( 2), T( ), T(-1))
//=--------------------------------------=
dividend.high = T( )
dividend.low = M( 1)
ANKAssertDivisionFullWidth(dividend, T(-2), T( ), T( 1))
//=----------------------------------=
dividend.high = T( )
dividend.low = M(bitPattern: T.max)
ANKAssertDivisionFullWidth(dividend, T(-1), T.min + 1, T( ))
//=----------------------------------=
dividend.high = T(-1)
dividend.low = M(bitPattern: T.min)
ANKAssertDivisionFullWidth(dividend, T(-1), T.min, T( ), true)
//=----------------------------------=
dividend.high = T.max >> 1
dividend.low = M.max >> 1
ANKAssertDivisionFullWidth(dividend, T.max, T.max, T.max - 1)
//=----------------------------------=
dividend.high = T.max >> 1
dividend.low = M.max >> 1 + 1
ANKAssertDivisionFullWidth(dividend, T.max, T.min, T( ), true)
//=----------------------------------=
dividend.high = T.max >> 1 + 1
dividend.low = M.max >> 1
ANKAssertDivisionFullWidth(dividend, T.min, T.min, T.max)
//=----------------------------------=
dividend.high = T.max >> 1 + 1
dividend.low = M.max >> 1 + 1
ANKAssertDivisionFullWidth(dividend, T.min, T.max, T( ), true)
}
func whereIsUnsigned<T>(_ type: T.Type) where T: ANKCoreInteger {
typealias M = T.Magnitude
//=----------------------------------=
var dividend: (high: T, low: M)
//=----------------------------------=
dividend.high = T( )
dividend.low = M( 7)
ANKAssertDivisionFullWidth(dividend, T( ), T( 7), T( 7), true)
//=----------------------------------=
dividend.high = T.max
dividend.low = M( 7)
ANKAssertDivisionFullWidth(dividend, T( ), T( 7), T( 7), true)
//=----------------------------------=
dividend.high = T.max - 1
dividend.low = M.max
ANKAssertDivisionFullWidth(dividend, T.max, T.max, T.max - 1)
//=----------------------------------=
dividend.high = T.max
dividend.low = M.min
ANKAssertDivisionFullWidth(dividend, T.max, T.min, T.min, true)
}
for type: T in types {
type.isSigned ? whereIsSigned(type) : whereIsUnsigned(type)
}
}
func testDividingFullWidthReportingOverflowTruncatesQuotient() {
func whereIsSigned<T>(_ type: T.Type) where T: ANKCoreInteger {
typealias M = T.Magnitude
//=----------------------------------=
let dividend: (high: T, low: M)
//=----------------------------------=
dividend.high = T(repeating: true )
dividend.low = M(repeating: false)
ANKAssertDivisionFullWidth(dividend, T( ), ~T( ) << (T.bitWidth - 0), T( ), true)
ANKAssertDivisionFullWidth(dividend, T(1), ~T( ) << (T.bitWidth - 0), T( ), true)
ANKAssertDivisionFullWidth(dividend, T(2), ~T( ) << (T.bitWidth - 1), T( ))
ANKAssertDivisionFullWidth(dividend, T(4), ~T( ) << (T.bitWidth - 2), T( ))
ANKAssertDivisionFullWidth(dividend, T(8), ~T( ) << (T.bitWidth - 3), T( ))
}
func whereIsUnsigned<T>(_ type: T.Type) where T: ANKCoreInteger {
typealias M = T.Magnitude
//=----------------------------------=
let dividend: (high: T, low: M)
//=----------------------------------=
dividend.high = T(repeating: true )
dividend.low = M(repeating: false)
ANKAssertDivisionFullWidth(dividend, T( ), ~T( ) << (T.bitWidth - 0), T( ), true)
ANKAssertDivisionFullWidth(dividend, T(1), ~T( ) << (T.bitWidth - 0), T( ), true)
ANKAssertDivisionFullWidth(dividend, T(2), ~T( ) << (T.bitWidth - 1), T( ), true)
ANKAssertDivisionFullWidth(dividend, T(4), ~T( ) << (T.bitWidth - 2), T( ), true)
ANKAssertDivisionFullWidth(dividend, T(8), ~T( ) << (T.bitWidth - 3), T( ), true)
}
for type: T in types {
type.isSigned ? whereIsSigned(type) : whereIsUnsigned(type)
}
}
//=------------------------------------------------------------------------=
// MARK: Tests x Miscellaneous
//=------------------------------------------------------------------------=
func testOverloadsAreUnambiguousWhenUsingIntegerLiterals() {
func becauseThisCompilesSuccessfully(_ x: inout some ANKCoreInteger) {
XCTAssertNotNil(x /= 0)
XCTAssertNotNil(x %= 0)
XCTAssertNotNil(x.divideReportingOverflow(by: 0))
XCTAssertNotNil(x.formRemainderReportingOverflow(dividingBy: 0))
XCTAssertNotNil(x / 0)
XCTAssertNotNil(x % 0)
XCTAssertNotNil(x.dividedReportingOverflow(by: 0))
XCTAssertNotNil(x.remainderReportingOverflow(dividingBy: 0))
XCTAssertNotNil(x.quotientAndRemainder(dividingBy: 0))
XCTAssertNotNil(x.quotientAndRemainderReportingOverflow(dividingBy: 0))
XCTAssertNotNil(x.dividingFullWidth((0, 0)))
}
}
}
#endif