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4b5a85a34d
For odd roots of negative values, we need to take the root of the *magnitude* of the number to avoid a NaN from the platform's implementation of `pow`, then restore the sign afterwards. We had the basic logic in place already, but were missing the step of taking the magnitude first. Also modified a test case to find this error.
102 lines
4.7 KiB
Swift
102 lines
4.7 KiB
Swift
//===--- Math.swift.gyb ---------------------------------------*- swift -*-===//
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//
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// This source file is part of the Swift.org open source project
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//
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// Copyright (c) 2014 - 2019 Apple Inc. and the Swift project authors
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// Licensed under Apache License v2.0 with Runtime Library Exception
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//
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// See https://swift.org/LICENSE.txt for license information
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// See https://swift.org/CONTRIBUTORS.txt for the list of Swift project authors
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//
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//===----------------------------------------------------------------------===//
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// -*- swift -*-
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// RUN: %empty-directory(%t)
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// RUN: %gyb %s -o %t/tgmath.swift
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// RUN: %line-directive %t/tgmath.swift -- %target-build-swift %t/tgmath.swift -o %t/a.out
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// RUN: %target-codesign %t/a.out
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// RUN: %line-directive %t/tgmath.swift -- %target-run %t/a.out
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// REQUIRES: executable_test
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#if (arch(i386) || arch(x86_64)) && !os(Windows)
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typealias TestLiteralType = Float80
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#else
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typealias TestLiteralType = Double
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#endif
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import StdlibUnittest
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let MathTests = TestSuite("Math")
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func expectEqualWithTolerance<T>(_ expected: TestLiteralType, _ actual: T,
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ulps allowed: T = 3,
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file: String = #file, line: UInt = #line)
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where T: BinaryFloatingPoint {
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if actual == T(expected) || actual.isNaN && expected.isNaN {
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return
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}
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// Compute error in ulp, compare to tolerance.
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let absoluteError = T(abs(TestLiteralType(actual) - expected))
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let ulpError = absoluteError / T(expected).ulp
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expectTrue(ulpError <= allowed,
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"\(actual) != \(expected) as \(T.self)" +
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"\n \(ulpError)-ulp error exceeds \(allowed)-ulp tolerance.",
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file: file, line: line)
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}
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%from SwiftMathFunctions import *
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@available(macOS 9999, iOS 9999, tvOS 9999, watchOS 9999, *)
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internal extension ElementaryFunctions where Self: BinaryFloatingPoint {
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static func elementaryFunctionTests() {
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/* Default tolerance is 3 ulps unless specified otherwise. It's OK to relax
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* this as needed for new platforms, as these tests are *not* intended to
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* validate the math library--they are only intended to check that the
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* Swift bindings are calling the right functions in the math library. */
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expectEqualWithTolerance(1.1863995522992575361931268186727044683, Self.acos(0.375))
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expectEqualWithTolerance(0.3843967744956390830381948729670469737, Self.asin(0.375))
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expectEqualWithTolerance(0.3587706702705722203959200639264604997, Self.atan(0.375))
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expectEqualWithTolerance(0.9305076219123142911494767922295555080, Self.cos(0.375))
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expectEqualWithTolerance(0.3662725290860475613729093517162641571, Self.sin(0.375))
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expectEqualWithTolerance(0.3936265759256327582294137871012180981, Self.tan(0.375))
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expectEqualWithTolerance(0.4949329230945269058895630995767185785, Self.acosh(1.125))
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expectEqualWithTolerance(0.9670596312833237113713762009167286709, Self.asinh(1.125))
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expectEqualWithTolerance(0.7331685343967135223291211023213964500, Self.atanh(0.625))
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expectEqualWithTolerance(1.0711403467045867672994980155670160493, Self.cosh(0.375))
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expectEqualWithTolerance(0.3838510679136145687542956764205024589, Self.sinh(0.375))
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expectEqualWithTolerance(0.3583573983507859463193602315531580424, Self.tanh(0.375))
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expectEqualWithTolerance(1.4549914146182013360537936919875185083, Self.exp(0.375))
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expectEqualWithTolerance(1.2968395546510096659337541177924511598, Self.exp2(0.375))
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expectEqualWithTolerance(2.3713737056616552616517527574788898386, Self.exp10(0.375))
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expectEqualWithTolerance(0.4549914146182013360537936919875185083, Self.expm1(0.375))
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expectEqualWithTolerance(-0.980829253011726236856451127452003999, Self.log(0.375))
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expectEqualWithTolerance(-1.415037499278843818546261056052183491, Self.log2(0.375))
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expectEqualWithTolerance(0.3184537311185346158102472135905995955, Self.log1p(0.375))
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expectEqualWithTolerance(-0.425968732272281148346188780918363771, Self.log10(0.375))
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expectEqualWithTolerance(-0.7211247851537041911608191553900547941, Self.root(-0.375, 3))
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expectEqualWithTolerance(0.6123724356957945245493210186764728479, Self.sqrt(0.375))
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expectEqualWithTolerance(0.54171335479545025876069682133938570, Self.pow(0.375, 0.625))
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expectEqualWithTolerance(-0.052734375, Self.pow(-0.375, 3))
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}
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}
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%for T in ['Float', 'Double', 'CGFloat', 'Float80']:
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% if T == 'Float80':
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#if (arch(i386) || arch(x86_64)) && !os(Windows)
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% elif T == 'CGFloat':
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#if canImport(CoreGraphics)
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import CoreGraphics
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% end
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MathTests.test("${T}") {
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if #available(macOS 9999, iOS 9999, tvOS 9999, watchOS 9999, *) {
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${T}.elementaryFunctionTests()
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}
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}
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% if T in ['CGFloat', 'Float80']:
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#endif
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% end
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%end
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runAllTests()
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