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//===--- Math.swift.gyb ---------------------------------------*- swift -*-===//
//
// This source file is part of the Swift.org open source project
//
// Copyright (c) 2014 - 2019 Apple Inc. and the Swift project authors
// Licensed under Apache License v2.0 with Runtime Library Exception
//
// See https://swift.org/LICENSE.txt for license information
// See https://swift.org/CONTRIBUTORS.txt for the list of Swift project authors
//
//===----------------------------------------------------------------------===//
// -*- swift -*-
// RUN: %empty-directory(%t)
// RUN: %gyb %s -o %t/tgmath.swift
// RUN: %line-directive %t/tgmath.swift -- %target-build-swift %t/tgmath.swift -o %t/a.out
// RUN: %target-codesign %t/a.out
// RUN: %line-directive %t/tgmath.swift -- %target-run %t/a.out
// REQUIRES: executable_test
#if (arch(i386) || arch(x86_64)) && !os(Windows)
typealias TestLiteralType = Float80
#else
typealias TestLiteralType = Double
#endif
import StdlibUnittest
let MathTests = TestSuite("Math")
func expectEqualWithTolerance<T>(_ expected: TestLiteralType, _ actual: T,
ulps allowed: T = 3,
file: String = #file, line: UInt = #line)
where T: BinaryFloatingPoint {
if actual == T(expected) || actual.isNaN && expected.isNaN {
return
}
// Compute error in ulp, compare to tolerance.
let absoluteError = T(abs(TestLiteralType(actual) - expected))
let ulpError = absoluteError / T(expected).ulp
expectTrue(ulpError <= allowed,
"\(actual) != \(expected) as \(T.self)" +
"\n \(ulpError)-ulp error exceeds \(allowed)-ulp tolerance.",
file: file, line: line)
}
%from SwiftMathFunctions import *
internal extension ElementaryFunctions where Self: BinaryFloatingPoint {
static func elementaryFunctionTests() {
/* Default tolerance is 3 ulps unless specified otherwise. It's OK to relax
* this as needed for new platforms, as these tests are *not* intended to
* validate the math library--they are only intended to check that the
* Swift bindings are calling the right functions in the math library. */
expectEqualWithTolerance(1.1863995522992575361931268186727044683, Self.acos(0.375))
expectEqualWithTolerance(0.3843967744956390830381948729670469737, Self.asin(0.375))
expectEqualWithTolerance(0.3587706702705722203959200639264604997, Self.atan(0.375))
expectEqualWithTolerance(0.9305076219123142911494767922295555080, Self.cos(0.375))
expectEqualWithTolerance(0.3662725290860475613729093517162641571, Self.sin(0.375))
expectEqualWithTolerance(0.3936265759256327582294137871012180981, Self.tan(0.375))
expectEqualWithTolerance(0.4949329230945269058895630995767185785, Self.acosh(1.125))
expectEqualWithTolerance(0.9670596312833237113713762009167286709, Self.asinh(1.125))
expectEqualWithTolerance(0.7331685343967135223291211023213964500, Self.atanh(0.625))
expectEqualWithTolerance(1.0711403467045867672994980155670160493, Self.cosh(0.375))
expectEqualWithTolerance(0.3838510679136145687542956764205024589, Self.sinh(0.375))
expectEqualWithTolerance(0.3583573983507859463193602315531580424, Self.tanh(0.375))
expectEqualWithTolerance(1.4549914146182013360537936919875185083, Self.exp(0.375))
expectEqualWithTolerance(1.2968395546510096659337541177924511598, Self.exp2(0.375))
expectEqualWithTolerance(2.3713737056616552616517527574788898386, Self.exp10(0.375))
expectEqualWithTolerance(0.4549914146182013360537936919875185083, Self.expm1(0.375))
expectEqualWithTolerance(-0.980829253011726236856451127452003999, Self.log(0.375))
expectEqualWithTolerance(-1.415037499278843818546261056052183491, Self.log2(0.375))
expectEqualWithTolerance(0.3184537311185346158102472135905995955, Self.log1p(0.375))
expectEqualWithTolerance(-0.425968732272281148346188780918363771, Self.log10(0.375))
expectEqualWithTolerance(0.7211247851537041911608191553900547941, Self.root(0.375, 3))
expectEqualWithTolerance(0.6123724356957945245493210186764728479, Self.sqrt(0.375))
expectEqualWithTolerance(0.54171335479545025876069682133938570, Self.pow(0.375, 0.625))
expectEqualWithTolerance(-0.052734375, Self.pow(-0.375, 3))
expectEqual(Self.acos(0.375), acos(0.375))
expectEqual(Self.asin(0.375), asin(0.375))
expectEqual(Self.atan(0.375), atan(0.375))
expectEqual(Self.cos(0.375), cos(0.375))
expectEqual(Self.sin(0.375), sin(0.375))
expectEqual(Self.tan(0.375), tan(0.375))
expectEqual(Self.acosh(1.125), acosh(1.125))
expectEqual(Self.asinh(1.125), asinh(1.125))
expectEqual(Self.atanh(0.625), atanh(0.625))
expectEqual(Self.cosh(0.375), cosh(0.375))
expectEqual(Self.sinh(0.375), sinh(0.375))
expectEqual(Self.tanh(0.375), tanh(0.375))
expectEqual(Self.exp(0.375), exp(0.375))
expectEqual(Self.exp2(0.375), exp2(0.375))
expectEqual(Self.exp10(0.375), exp10(0.375))
expectEqual(Self.expm1(0.375), expm1(0.375))
expectEqual(Self.log(0.375), log(0.375))
expectEqual(Self.log2(0.375), log2(0.375))
expectEqual(Self.log1p(0.375), log1p(0.375))
expectEqual(Self.log10(0.375), log10(0.375))
expectEqual(Self.sqrt(0.375), sqrt(0.375))
expectEqual(Self.pow(0.375, 0.625), pow(0.375, 0.625))
expectEqual(Self.root(0.375, 3), root(0.375, 3))
expectEqual(Self.pow(-0.375, 3), pow(-0.375, 3))
}
}
internal extension Real where Self: BinaryFloatingPoint {
static func realFunctionTests() {
expectEqualWithTolerance(0.54041950027058415544357836460859991, Self.atan2(y: 0.375, x: 0.625))
expectEqualWithTolerance(0.72886898685566255885926910969319788, Self.hypot(0.375, 0.625))
expectEqualWithTolerance(0.4041169094348222983238250859191217675, Self.erf(0.375))
expectEqualWithTolerance(0.5958830905651777016761749140808782324, Self.erfc(0.375))
expectEqualWithTolerance(2.3704361844166009086464735041766525098, Self.gamma(0.375))
#if !os(Windows)
expectEqualWithTolerance( -0.11775527074107877445136203331798850, Self.logGamma(1.375), ulps: 16)
expectEqual(.plus, Self.signGamma(1.375))
expectEqual(.minus, Self.signGamma(-2.375))
#endif
expectEqual(Self.atan2(y: 0.375, x: 0.625), atan2(y: 0.375, x: 0.625))
expectEqual(Self.hypot(0.375, 0.625), hypot(0.375, 0.625))
expectEqual(Self.erf(0.375), erf(0.375))
expectEqual(Self.erfc(0.375), erfc(0.375))
expectEqual(Self.gamma(0.375), gamma(0.375))
#if !os(Windows)
expectEqual(Self.logGamma(1.375), logGamma(1.375))
expectEqual(Self.signGamma(1.375), signGamma(1.375))
expectEqual(Self.signGamma(-2.375), signGamma(-2.375))
#endif
}
}
internal extension BinaryFloatingPoint {
static func floatingPointFunctionTests() {
expectEqual(1 as Self, ceil(0.375))
expectEqual(0 as Self, floor(0.375))
expectEqual(0 as Self, Swift.round(0.375))
expectEqual(0 as Self, trunc(0.375))
expectEqual(0 as Self, ceil(-0.625))
expectEqual(-1 as Self, floor(-0.625))
expectEqual(-1 as Self, Swift.round(-0.625))
expectEqual(0 as Self, trunc(-0.625))
expectEqual(1 as Self, ceil(0.5))
expectEqual(0 as Self, floor(0.5))
expectEqual(1 as Self, Swift.round(0.5))
expectEqual(0 as Self, trunc(0.5))
}
}
%for T in ['Float', 'Double', 'CGFloat', 'Float80']:
% if T == 'Float80':
#if (arch(i386) || arch(x86_64)) && !os(Windows)
% elif T == 'CGFloat':
#if canImport(CoreGraphics)
import CoreGraphics
% end
MathTests.test("${T}") {
${T}.elementaryFunctionTests()
${T}.realFunctionTests()
${T}.floatingPointFunctionTests()
}
% if T in ['CGFloat', 'Float80']:
#endif
% end
%end
runAllTests()