mirror of
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593 lines
22 KiB
C++
593 lines
22 KiB
C++
/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
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/* vim: set ts=8 sts=2 et sw=2 tw=80: */
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/* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this file,
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* You can obtain one at http://mozilla.org/MPL/2.0/. */
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#include "mozilla/FloatingPoint.h"
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#include <math.h>
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using mozilla::ExponentComponent;
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using mozilla::FloatingPoint;
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using mozilla::FuzzyEqualsAdditive;
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using mozilla::FuzzyEqualsMultiplicative;
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using mozilla::IsFinite;
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using mozilla::IsInfinite;
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using mozilla::IsNaN;
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using mozilla::IsNegative;
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using mozilla::IsNegativeZero;
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using mozilla::IsPositiveZero;
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using mozilla::NegativeInfinity;
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using mozilla::NumberEqualsInt32;
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using mozilla::NumberIsInt32;
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using mozilla::NumbersAreIdentical;
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using mozilla::PositiveInfinity;
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using mozilla::SpecificNaN;
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using mozilla::UnspecifiedNaN;
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#define A(a) MOZ_RELEASE_ASSERT(a)
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template<typename T>
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static void
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ShouldBeIdentical(T aD1, T aD2)
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{
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A(NumbersAreIdentical(aD1, aD2));
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A(NumbersAreIdentical(aD2, aD1));
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}
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template<typename T>
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static void
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ShouldNotBeIdentical(T aD1, T aD2)
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{
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A(!NumbersAreIdentical(aD1, aD2));
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A(!NumbersAreIdentical(aD2, aD1));
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}
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static void
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TestDoublesAreIdentical()
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{
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ShouldBeIdentical(+0.0, +0.0);
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ShouldBeIdentical(-0.0, -0.0);
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ShouldNotBeIdentical(+0.0, -0.0);
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ShouldBeIdentical(1.0, 1.0);
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ShouldNotBeIdentical(-1.0, 1.0);
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ShouldBeIdentical(4294967295.0, 4294967295.0);
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ShouldNotBeIdentical(-4294967295.0, 4294967295.0);
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ShouldBeIdentical(4294967296.0, 4294967296.0);
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ShouldBeIdentical(4294967297.0, 4294967297.0);
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ShouldBeIdentical(1e300, 1e300);
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ShouldBeIdentical(PositiveInfinity<double>(), PositiveInfinity<double>());
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ShouldBeIdentical(NegativeInfinity<double>(), NegativeInfinity<double>());
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ShouldNotBeIdentical(PositiveInfinity<double>(), NegativeInfinity<double>());
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ShouldNotBeIdentical(-0.0, NegativeInfinity<double>());
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ShouldNotBeIdentical(+0.0, NegativeInfinity<double>());
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ShouldNotBeIdentical(1e300, NegativeInfinity<double>());
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ShouldNotBeIdentical(3.141592654, NegativeInfinity<double>());
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ShouldBeIdentical(UnspecifiedNaN<double>(), UnspecifiedNaN<double>());
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ShouldBeIdentical(-UnspecifiedNaN<double>(), UnspecifiedNaN<double>());
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ShouldBeIdentical(UnspecifiedNaN<double>(), -UnspecifiedNaN<double>());
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ShouldBeIdentical(SpecificNaN<double>(0, 17), SpecificNaN<double>(0, 42));
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ShouldBeIdentical(SpecificNaN<double>(1, 17), SpecificNaN<double>(1, 42));
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ShouldBeIdentical(SpecificNaN<double>(0, 17), SpecificNaN<double>(1, 42));
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ShouldBeIdentical(SpecificNaN<double>(1, 17), SpecificNaN<double>(0, 42));
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const uint64_t Mask = 0xfffffffffffffULL;
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for (unsigned i = 0; i < 52; i++) {
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for (unsigned j = 0; j < 52; j++) {
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for (unsigned sign = 0; i < 2; i++) {
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ShouldBeIdentical(SpecificNaN<double>(0, 1ULL << i),
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SpecificNaN<double>(sign, 1ULL << j));
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ShouldBeIdentical(SpecificNaN<double>(1, 1ULL << i),
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SpecificNaN<double>(sign, 1ULL << j));
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ShouldBeIdentical(SpecificNaN<double>(0, Mask & ~(1ULL << i)),
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SpecificNaN<double>(sign, Mask & ~(1ULL << j)));
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ShouldBeIdentical(SpecificNaN<double>(1, Mask & ~(1ULL << i)),
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SpecificNaN<double>(sign, Mask & ~(1ULL << j)));
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}
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}
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}
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ShouldBeIdentical(SpecificNaN<double>(0, 17),
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SpecificNaN<double>(0, 0x8000000000000ULL));
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ShouldBeIdentical(SpecificNaN<double>(0, 17),
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SpecificNaN<double>(0, 0x4000000000000ULL));
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ShouldBeIdentical(SpecificNaN<double>(0, 17),
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SpecificNaN<double>(0, 0x2000000000000ULL));
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ShouldBeIdentical(SpecificNaN<double>(0, 17),
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SpecificNaN<double>(0, 0x1000000000000ULL));
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ShouldBeIdentical(SpecificNaN<double>(0, 17),
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SpecificNaN<double>(0, 0x0800000000000ULL));
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ShouldBeIdentical(SpecificNaN<double>(0, 17),
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SpecificNaN<double>(0, 0x0400000000000ULL));
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ShouldBeIdentical(SpecificNaN<double>(0, 17),
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SpecificNaN<double>(0, 0x0200000000000ULL));
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ShouldBeIdentical(SpecificNaN<double>(0, 17),
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SpecificNaN<double>(0, 0x0100000000000ULL));
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ShouldBeIdentical(SpecificNaN<double>(0, 17),
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SpecificNaN<double>(0, 0x0080000000000ULL));
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ShouldBeIdentical(SpecificNaN<double>(0, 17),
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SpecificNaN<double>(0, 0x0040000000000ULL));
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ShouldBeIdentical(SpecificNaN<double>(0, 17),
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SpecificNaN<double>(0, 0x0020000000000ULL));
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ShouldBeIdentical(SpecificNaN<double>(0, 17),
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SpecificNaN<double>(0, 0x0010000000000ULL));
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ShouldBeIdentical(SpecificNaN<double>(1, 17),
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SpecificNaN<double>(0, 0xff0ffffffffffULL));
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ShouldBeIdentical(SpecificNaN<double>(1, 17),
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SpecificNaN<double>(0, 0xfffffffffff0fULL));
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ShouldNotBeIdentical(UnspecifiedNaN<double>(), +0.0);
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ShouldNotBeIdentical(UnspecifiedNaN<double>(), -0.0);
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ShouldNotBeIdentical(UnspecifiedNaN<double>(), 1.0);
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ShouldNotBeIdentical(UnspecifiedNaN<double>(), -1.0);
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ShouldNotBeIdentical(UnspecifiedNaN<double>(), PositiveInfinity<double>());
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ShouldNotBeIdentical(UnspecifiedNaN<double>(), NegativeInfinity<double>());
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}
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static void
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TestFloatsAreIdentical()
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{
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ShouldBeIdentical(+0.0f, +0.0f);
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ShouldBeIdentical(-0.0f, -0.0f);
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ShouldNotBeIdentical(+0.0f, -0.0f);
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ShouldBeIdentical(1.0f, 1.0f);
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ShouldNotBeIdentical(-1.0f, 1.0f);
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ShouldBeIdentical(8388607.0f, 8388607.0f);
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ShouldNotBeIdentical(-8388607.0f, 8388607.0f);
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ShouldBeIdentical(8388608.0f, 8388608.0f);
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ShouldBeIdentical(8388609.0f, 8388609.0f);
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ShouldBeIdentical(1e36f, 1e36f);
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ShouldBeIdentical(PositiveInfinity<float>(), PositiveInfinity<float>());
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ShouldBeIdentical(NegativeInfinity<float>(), NegativeInfinity<float>());
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ShouldNotBeIdentical(PositiveInfinity<float>(), NegativeInfinity<float>());
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ShouldNotBeIdentical(-0.0f, NegativeInfinity<float>());
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ShouldNotBeIdentical(+0.0f, NegativeInfinity<float>());
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ShouldNotBeIdentical(1e36f, NegativeInfinity<float>());
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ShouldNotBeIdentical(3.141592654f, NegativeInfinity<float>());
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ShouldBeIdentical(UnspecifiedNaN<float>(), UnspecifiedNaN<float>());
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ShouldBeIdentical(-UnspecifiedNaN<float>(), UnspecifiedNaN<float>());
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ShouldBeIdentical(UnspecifiedNaN<float>(), -UnspecifiedNaN<float>());
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 42));
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ShouldBeIdentical(SpecificNaN<float>(1, 17), SpecificNaN<float>(1, 42));
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(1, 42));
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ShouldBeIdentical(SpecificNaN<float>(1, 17), SpecificNaN<float>(0, 42));
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const uint32_t Mask = 0x7fffffUL;
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for (unsigned i = 0; i < 23; i++) {
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for (unsigned j = 0; j < 23; j++) {
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for (unsigned sign = 0; i < 2; i++) {
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ShouldBeIdentical(SpecificNaN<float>(0, 1UL << i),
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SpecificNaN<float>(sign, 1UL << j));
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ShouldBeIdentical(SpecificNaN<float>(1, 1UL << i),
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SpecificNaN<float>(sign, 1UL << j));
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ShouldBeIdentical(SpecificNaN<float>(0, Mask & ~(1UL << i)),
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SpecificNaN<float>(sign, Mask & ~(1UL << j)));
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ShouldBeIdentical(SpecificNaN<float>(1, Mask & ~(1UL << i)),
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SpecificNaN<float>(sign, Mask & ~(1UL << j)));
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}
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}
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}
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x700000));
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x400000));
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x200000));
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x100000));
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x080000));
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x040000));
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x020000));
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x010000));
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x008000));
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x004000));
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x002000));
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ShouldBeIdentical(SpecificNaN<float>(0, 17), SpecificNaN<float>(0, 0x001000));
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ShouldBeIdentical(SpecificNaN<float>(1, 17), SpecificNaN<float>(0, 0x7f0fff));
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ShouldBeIdentical(SpecificNaN<float>(1, 17), SpecificNaN<float>(0, 0x7fff0f));
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ShouldNotBeIdentical(UnspecifiedNaN<float>(), +0.0f);
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ShouldNotBeIdentical(UnspecifiedNaN<float>(), -0.0f);
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ShouldNotBeIdentical(UnspecifiedNaN<float>(), 1.0f);
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ShouldNotBeIdentical(UnspecifiedNaN<float>(), -1.0f);
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ShouldNotBeIdentical(UnspecifiedNaN<float>(), PositiveInfinity<float>());
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ShouldNotBeIdentical(UnspecifiedNaN<float>(), NegativeInfinity<float>());
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}
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static void
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TestAreIdentical()
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{
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TestDoublesAreIdentical();
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TestFloatsAreIdentical();
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}
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static void
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TestDoubleExponentComponent()
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{
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A(ExponentComponent(0.0) ==
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-int_fast16_t(FloatingPoint<double>::kExponentBias));
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A(ExponentComponent(-0.0) ==
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-int_fast16_t(FloatingPoint<double>::kExponentBias));
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A(ExponentComponent(0.125) == -3);
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A(ExponentComponent(0.5) == -1);
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A(ExponentComponent(1.0) == 0);
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A(ExponentComponent(1.5) == 0);
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A(ExponentComponent(2.0) == 1);
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A(ExponentComponent(7.0) == 2);
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A(ExponentComponent(PositiveInfinity<double>()) ==
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FloatingPoint<double>::kExponentBias + 1);
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A(ExponentComponent(NegativeInfinity<double>()) ==
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FloatingPoint<double>::kExponentBias + 1);
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A(ExponentComponent(UnspecifiedNaN<double>()) ==
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FloatingPoint<double>::kExponentBias + 1);
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}
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static void
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TestFloatExponentComponent()
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{
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A(ExponentComponent(0.0f) ==
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-int_fast16_t(FloatingPoint<float>::kExponentBias));
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A(ExponentComponent(-0.0f) ==
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-int_fast16_t(FloatingPoint<float>::kExponentBias));
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A(ExponentComponent(0.125f) == -3);
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A(ExponentComponent(0.5f) == -1);
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A(ExponentComponent(1.0f) == 0);
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A(ExponentComponent(1.5f) == 0);
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A(ExponentComponent(2.0f) == 1);
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A(ExponentComponent(7.0f) == 2);
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A(ExponentComponent(PositiveInfinity<float>()) ==
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FloatingPoint<float>::kExponentBias + 1);
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A(ExponentComponent(NegativeInfinity<float>()) ==
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FloatingPoint<float>::kExponentBias + 1);
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A(ExponentComponent(UnspecifiedNaN<float>()) ==
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FloatingPoint<float>::kExponentBias + 1);
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}
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static void
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TestExponentComponent()
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{
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TestDoubleExponentComponent();
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TestFloatExponentComponent();
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}
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static void
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TestDoublesPredicates()
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{
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A(IsNaN(UnspecifiedNaN<double>()));
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A(IsNaN(SpecificNaN<double>(1, 17)));;
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A(IsNaN(SpecificNaN<double>(0, 0xfffffffffff0fULL)));
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A(!IsNaN(0.0));
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A(!IsNaN(-0.0));
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A(!IsNaN(1.0));
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A(!IsNaN(PositiveInfinity<double>()));
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A(!IsNaN(NegativeInfinity<double>()));
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A(IsInfinite(PositiveInfinity<double>()));
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A(IsInfinite(NegativeInfinity<double>()));
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A(!IsInfinite(UnspecifiedNaN<double>()));
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A(!IsInfinite(0.0));
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A(!IsInfinite(-0.0));
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A(!IsInfinite(1.0));
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A(!IsFinite(PositiveInfinity<double>()));
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A(!IsFinite(NegativeInfinity<double>()));
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A(!IsFinite(UnspecifiedNaN<double>()));
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A(IsFinite(0.0));
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A(IsFinite(-0.0));
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A(IsFinite(1.0));
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A(!IsNegative(PositiveInfinity<double>()));
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A(IsNegative(NegativeInfinity<double>()));
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A(IsNegative(-0.0));
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A(!IsNegative(0.0));
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A(IsNegative(-1.0));
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A(!IsNegative(1.0));
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A(!IsNegativeZero(PositiveInfinity<double>()));
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A(!IsNegativeZero(NegativeInfinity<double>()));
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A(!IsNegativeZero(SpecificNaN<double>(1, 17)));;
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A(!IsNegativeZero(SpecificNaN<double>(1, 0xfffffffffff0fULL)));
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A(!IsNegativeZero(SpecificNaN<double>(0, 17)));;
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A(!IsNegativeZero(SpecificNaN<double>(0, 0xfffffffffff0fULL)));
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A(!IsNegativeZero(UnspecifiedNaN<double>()));
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A(IsNegativeZero(-0.0));
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A(!IsNegativeZero(0.0));
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A(!IsNegativeZero(-1.0));
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A(!IsNegativeZero(1.0));
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int32_t i;
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A(NumberIsInt32(0.0, &i));
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A(i == 0);
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A(!NumberIsInt32(-0.0, &i));
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A(NumberEqualsInt32(0.0, &i));
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A(i == 0);
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A(NumberEqualsInt32(-0.0, &i));
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A(i == 0);
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A(NumberIsInt32(double(INT32_MIN), &i));
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A(i == INT32_MIN);
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A(NumberIsInt32(double(INT32_MAX), &i));
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A(i == INT32_MAX);
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A(NumberEqualsInt32(double(INT32_MIN), &i));
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A(i == INT32_MIN);
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A(NumberEqualsInt32(double(INT32_MAX), &i));
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A(i == INT32_MAX);
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A(!NumberIsInt32(0.5, &i));
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A(!NumberIsInt32(double(INT32_MAX) + 0.1, &i));
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A(!NumberIsInt32(double(INT32_MIN) - 0.1, &i));
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A(!NumberIsInt32(NegativeInfinity<double>(), &i));
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A(!NumberIsInt32(PositiveInfinity<double>(), &i));
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A(!NumberIsInt32(UnspecifiedNaN<double>(), &i));
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A(!NumberEqualsInt32(0.5, &i));
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A(!NumberEqualsInt32(double(INT32_MAX) + 0.1, &i));
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A(!NumberEqualsInt32(double(INT32_MIN) - 0.1, &i));
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A(!NumberEqualsInt32(NegativeInfinity<double>(), &i));
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A(!NumberEqualsInt32(PositiveInfinity<double>(), &i));
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A(!NumberEqualsInt32(UnspecifiedNaN<double>(), &i));
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}
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static void
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TestFloatsPredicates()
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{
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A(IsNaN(UnspecifiedNaN<float>()));
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A(IsNaN(SpecificNaN<float>(1, 17)));;
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A(IsNaN(SpecificNaN<float>(0, 0x7fff0fUL)));
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A(!IsNaN(0.0f));
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A(!IsNaN(-0.0f));
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A(!IsNaN(1.0f));
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A(!IsNaN(PositiveInfinity<float>()));
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A(!IsNaN(NegativeInfinity<float>()));
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A(IsInfinite(PositiveInfinity<float>()));
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A(IsInfinite(NegativeInfinity<float>()));
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A(!IsInfinite(UnspecifiedNaN<float>()));
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A(!IsInfinite(0.0f));
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A(!IsInfinite(-0.0f));
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A(!IsInfinite(1.0f));
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A(!IsFinite(PositiveInfinity<float>()));
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A(!IsFinite(NegativeInfinity<float>()));
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A(!IsFinite(UnspecifiedNaN<float>()));
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A(IsFinite(0.0f));
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A(IsFinite(-0.0f));
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A(IsFinite(1.0f));
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A(!IsNegative(PositiveInfinity<float>()));
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A(IsNegative(NegativeInfinity<float>()));
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A(IsNegative(-0.0f));
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A(!IsNegative(0.0f));
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A(IsNegative(-1.0f));
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A(!IsNegative(1.0f));
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A(!IsNegativeZero(PositiveInfinity<float>()));
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A(!IsNegativeZero(NegativeInfinity<float>()));
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A(!IsNegativeZero(SpecificNaN<float>(1, 17)));;
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A(!IsNegativeZero(SpecificNaN<float>(1, 0x7fff0fUL)));
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A(!IsNegativeZero(SpecificNaN<float>(0, 17)));;
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A(!IsNegativeZero(SpecificNaN<float>(0, 0x7fff0fUL)));
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A(!IsNegativeZero(UnspecifiedNaN<float>()));
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A(IsNegativeZero(-0.0f));
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A(!IsNegativeZero(0.0f));
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A(!IsNegativeZero(-1.0f));
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A(!IsNegativeZero(1.0f));
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A(!IsPositiveZero(PositiveInfinity<float>()));
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A(!IsPositiveZero(NegativeInfinity<float>()));
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A(!IsPositiveZero(SpecificNaN<float>(1, 17)));;
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A(!IsPositiveZero(SpecificNaN<float>(1, 0x7fff0fUL)));
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A(!IsPositiveZero(SpecificNaN<float>(0, 17)));;
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A(!IsPositiveZero(SpecificNaN<float>(0, 0x7fff0fUL)));
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A(!IsPositiveZero(UnspecifiedNaN<float>()));
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A(IsPositiveZero(0.0f));
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A(!IsPositiveZero(-0.0f));
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A(!IsPositiveZero(-1.0f));
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A(!IsPositiveZero(1.0f));
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int32_t i;
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const int32_t BIG = 2097151;
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A(NumberIsInt32(0.0f, &i));
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A(i == 0);
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A(!NumberIsInt32(-0.0f, &i));
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A(NumberEqualsInt32(0.0f, &i));
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A(i == 0);
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A(NumberEqualsInt32(-0.0f, &i));
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A(i == 0);
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A(NumberIsInt32(float(INT32_MIN), &i));
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A(i == INT32_MIN);
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A(NumberIsInt32(float(BIG), &i));
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A(i == BIG);
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A(NumberEqualsInt32(float(INT32_MIN), &i));
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A(i == INT32_MIN);
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A(NumberEqualsInt32(float(BIG), &i));
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A(i == BIG);
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A(!NumberIsInt32(0.5f, &i));
|
|
A(!NumberIsInt32(float(BIG) + 0.1f, &i));
|
|
A(!NumberIsInt32(NegativeInfinity<float>(), &i));
|
|
A(!NumberIsInt32(PositiveInfinity<float>(), &i));
|
|
A(!NumberIsInt32(UnspecifiedNaN<float>(), &i));
|
|
A(!NumberEqualsInt32(0.5f, &i));
|
|
A(!NumberEqualsInt32(float(BIG) + 0.1f, &i));
|
|
A(!NumberEqualsInt32(NegativeInfinity<float>(), &i));
|
|
A(!NumberEqualsInt32(PositiveInfinity<float>(), &i));
|
|
A(!NumberEqualsInt32(UnspecifiedNaN<float>(), &i));
|
|
}
|
|
|
|
static void
|
|
TestPredicates()
|
|
{
|
|
TestFloatsPredicates();
|
|
TestDoublesPredicates();
|
|
}
|
|
|
|
static void
|
|
TestFloatsAreApproximatelyEqual()
|
|
{
|
|
float epsilon = mozilla::detail::FuzzyEqualsEpsilon<float>::value();
|
|
float lessThanEpsilon = epsilon / 2.0f;
|
|
float moreThanEpsilon = epsilon * 2.0f;
|
|
|
|
// Additive tests using the default epsilon
|
|
// ... around 1.0
|
|
A(FuzzyEqualsAdditive(1.0f, 1.0f + lessThanEpsilon));
|
|
A(FuzzyEqualsAdditive(1.0f, 1.0f - lessThanEpsilon));
|
|
A(FuzzyEqualsAdditive(1.0f, 1.0f + epsilon));
|
|
A(FuzzyEqualsAdditive(1.0f, 1.0f - epsilon));
|
|
A(!FuzzyEqualsAdditive(1.0f, 1.0f + moreThanEpsilon));
|
|
A(!FuzzyEqualsAdditive(1.0f, 1.0f - moreThanEpsilon));
|
|
// ... around 1.0e2 (this is near the upper bound of the range where
|
|
// adding moreThanEpsilon will still be representable and return false)
|
|
A(FuzzyEqualsAdditive(1.0e2f, 1.0e2f + lessThanEpsilon));
|
|
A(FuzzyEqualsAdditive(1.0e2f, 1.0e2f + epsilon));
|
|
A(!FuzzyEqualsAdditive(1.0e2f, 1.0e2f + moreThanEpsilon));
|
|
// ... around 1.0e-10
|
|
A(FuzzyEqualsAdditive(1.0e-10f, 1.0e-10f + lessThanEpsilon));
|
|
A(FuzzyEqualsAdditive(1.0e-10f, 1.0e-10f + epsilon));
|
|
A(!FuzzyEqualsAdditive(1.0e-10f, 1.0e-10f + moreThanEpsilon));
|
|
// ... straddling 0
|
|
A(FuzzyEqualsAdditive(1.0e-6f, -1.0e-6f));
|
|
A(!FuzzyEqualsAdditive(1.0e-5f, -1.0e-5f));
|
|
// Using a small epsilon
|
|
A(FuzzyEqualsAdditive(1.0e-5f, 1.0e-5f + 1.0e-10f, 1.0e-9f));
|
|
A(!FuzzyEqualsAdditive(1.0e-5f, 1.0e-5f + 1.0e-10f, 1.0e-11f));
|
|
// Using a big epsilon
|
|
A(FuzzyEqualsAdditive(1.0e20f, 1.0e20f + 1.0e15f, 1.0e16f));
|
|
A(!FuzzyEqualsAdditive(1.0e20f, 1.0e20f + 1.0e15f, 1.0e14f));
|
|
|
|
// Multiplicative tests using the default epsilon
|
|
// ... around 1.0
|
|
A(FuzzyEqualsMultiplicative(1.0f, 1.0f + lessThanEpsilon));
|
|
A(FuzzyEqualsMultiplicative(1.0f, 1.0f - lessThanEpsilon));
|
|
A(FuzzyEqualsMultiplicative(1.0f, 1.0f + epsilon));
|
|
A(!FuzzyEqualsMultiplicative(1.0f, 1.0f - epsilon));
|
|
A(!FuzzyEqualsMultiplicative(1.0f, 1.0f + moreThanEpsilon));
|
|
A(!FuzzyEqualsMultiplicative(1.0f, 1.0f - moreThanEpsilon));
|
|
// ... around 1.0e10
|
|
A(FuzzyEqualsMultiplicative(1.0e10f, 1.0e10f + (lessThanEpsilon * 1.0e10f)));
|
|
A(!FuzzyEqualsMultiplicative(1.0e10f, 1.0e10f + (moreThanEpsilon * 1.0e10f)));
|
|
// ... around 1.0e-10
|
|
A(FuzzyEqualsMultiplicative(1.0e-10f,
|
|
1.0e-10f + (lessThanEpsilon * 1.0e-10f)));
|
|
A(!FuzzyEqualsMultiplicative(1.0e-10f,
|
|
1.0e-10f + (moreThanEpsilon * 1.0e-10f)));
|
|
// ... straddling 0
|
|
A(!FuzzyEqualsMultiplicative(1.0e-6f, -1.0e-6f));
|
|
A(FuzzyEqualsMultiplicative(1.0e-6f, -1.0e-6f, 1.0e2f));
|
|
// Using a small epsilon
|
|
A(FuzzyEqualsMultiplicative(1.0e-5f, 1.0e-5f + 1.0e-10f, 1.0e-4f));
|
|
A(!FuzzyEqualsMultiplicative(1.0e-5f, 1.0e-5f + 1.0e-10f, 1.0e-5f));
|
|
// Using a big epsilon
|
|
A(FuzzyEqualsMultiplicative(1.0f, 2.0f, 1.0f));
|
|
A(!FuzzyEqualsMultiplicative(1.0f, 2.0f, 0.1f));
|
|
|
|
// "real world case"
|
|
float oneThird = 10.0f / 3.0f;
|
|
A(FuzzyEqualsAdditive(10.0f, 3.0f * oneThird));
|
|
A(FuzzyEqualsMultiplicative(10.0f, 3.0f * oneThird));
|
|
// NaN check
|
|
A(!FuzzyEqualsAdditive(SpecificNaN<float>(1, 1), SpecificNaN<float>(1, 1)));
|
|
A(!FuzzyEqualsAdditive(SpecificNaN<float>(1, 2), SpecificNaN<float>(0, 8)));
|
|
A(!FuzzyEqualsMultiplicative(SpecificNaN<float>(1, 1),
|
|
SpecificNaN<float>(1, 1)));
|
|
A(!FuzzyEqualsMultiplicative(SpecificNaN<float>(1, 2),
|
|
SpecificNaN<float>(0, 200)));
|
|
}
|
|
|
|
static void
|
|
TestDoublesAreApproximatelyEqual()
|
|
{
|
|
double epsilon = mozilla::detail::FuzzyEqualsEpsilon<double>::value();
|
|
double lessThanEpsilon = epsilon / 2.0;
|
|
double moreThanEpsilon = epsilon * 2.0;
|
|
|
|
// Additive tests using the default epsilon
|
|
// ... around 1.0
|
|
A(FuzzyEqualsAdditive(1.0, 1.0 + lessThanEpsilon));
|
|
A(FuzzyEqualsAdditive(1.0, 1.0 - lessThanEpsilon));
|
|
A(FuzzyEqualsAdditive(1.0, 1.0 + epsilon));
|
|
A(FuzzyEqualsAdditive(1.0, 1.0 - epsilon));
|
|
A(!FuzzyEqualsAdditive(1.0, 1.0 + moreThanEpsilon));
|
|
A(!FuzzyEqualsAdditive(1.0, 1.0 - moreThanEpsilon));
|
|
// ... around 1.0e4 (this is near the upper bound of the range where
|
|
// adding moreThanEpsilon will still be representable and return false)
|
|
A(FuzzyEqualsAdditive(1.0e4, 1.0e4 + lessThanEpsilon));
|
|
A(FuzzyEqualsAdditive(1.0e4, 1.0e4 + epsilon));
|
|
A(!FuzzyEqualsAdditive(1.0e4, 1.0e4 + moreThanEpsilon));
|
|
// ... around 1.0e-25
|
|
A(FuzzyEqualsAdditive(1.0e-25, 1.0e-25 + lessThanEpsilon));
|
|
A(FuzzyEqualsAdditive(1.0e-25, 1.0e-25 + epsilon));
|
|
A(!FuzzyEqualsAdditive(1.0e-25, 1.0e-25 + moreThanEpsilon));
|
|
// ... straddling 0
|
|
A(FuzzyEqualsAdditive(1.0e-13, -1.0e-13));
|
|
A(!FuzzyEqualsAdditive(1.0e-12, -1.0e-12));
|
|
// Using a small epsilon
|
|
A(FuzzyEqualsAdditive(1.0e-15, 1.0e-15 + 1.0e-30, 1.0e-29));
|
|
A(!FuzzyEqualsAdditive(1.0e-15, 1.0e-15 + 1.0e-30, 1.0e-31));
|
|
// Using a big epsilon
|
|
A(FuzzyEqualsAdditive(1.0e40, 1.0e40 + 1.0e25, 1.0e26));
|
|
A(!FuzzyEqualsAdditive(1.0e40, 1.0e40 + 1.0e25, 1.0e24));
|
|
|
|
// Multiplicative tests using the default epsilon
|
|
// ... around 1.0
|
|
A(FuzzyEqualsMultiplicative(1.0, 1.0 + lessThanEpsilon));
|
|
A(FuzzyEqualsMultiplicative(1.0, 1.0 - lessThanEpsilon));
|
|
A(FuzzyEqualsMultiplicative(1.0, 1.0 + epsilon));
|
|
A(!FuzzyEqualsMultiplicative(1.0, 1.0 - epsilon));
|
|
A(!FuzzyEqualsMultiplicative(1.0, 1.0 + moreThanEpsilon));
|
|
A(!FuzzyEqualsMultiplicative(1.0, 1.0 - moreThanEpsilon));
|
|
// ... around 1.0e30
|
|
A(FuzzyEqualsMultiplicative(1.0e30, 1.0e30 + (lessThanEpsilon * 1.0e30)));
|
|
A(!FuzzyEqualsMultiplicative(1.0e30, 1.0e30 + (moreThanEpsilon * 1.0e30)));
|
|
// ... around 1.0e-30
|
|
A(FuzzyEqualsMultiplicative(1.0e-30, 1.0e-30 + (lessThanEpsilon * 1.0e-30)));
|
|
A(!FuzzyEqualsMultiplicative(1.0e-30, 1.0e-30 + (moreThanEpsilon * 1.0e-30)));
|
|
// ... straddling 0
|
|
A(!FuzzyEqualsMultiplicative(1.0e-6, -1.0e-6));
|
|
A(FuzzyEqualsMultiplicative(1.0e-6, -1.0e-6, 1.0e2));
|
|
// Using a small epsilon
|
|
A(FuzzyEqualsMultiplicative(1.0e-15, 1.0e-15 + 1.0e-30, 1.0e-15));
|
|
A(!FuzzyEqualsMultiplicative(1.0e-15, 1.0e-15 + 1.0e-30, 1.0e-16));
|
|
// Using a big epsilon
|
|
A(FuzzyEqualsMultiplicative(1.0e40, 2.0e40, 1.0));
|
|
A(!FuzzyEqualsMultiplicative(1.0e40, 2.0e40, 0.1));
|
|
|
|
// "real world case"
|
|
double oneThird = 10.0 / 3.0;
|
|
A(FuzzyEqualsAdditive(10.0, 3.0 * oneThird));
|
|
A(FuzzyEqualsMultiplicative(10.0, 3.0 * oneThird));
|
|
// NaN check
|
|
A(!FuzzyEqualsAdditive(SpecificNaN<double>(1, 1),
|
|
SpecificNaN<double>(1, 1)));
|
|
A(!FuzzyEqualsAdditive(SpecificNaN<double>(1, 2),
|
|
SpecificNaN<double>(0, 8)));
|
|
A(!FuzzyEqualsMultiplicative(SpecificNaN<double>(1, 1),
|
|
SpecificNaN<double>(1, 1)));
|
|
A(!FuzzyEqualsMultiplicative(SpecificNaN<double>(1, 2),
|
|
SpecificNaN<double>(0, 200)));
|
|
}
|
|
|
|
static void
|
|
TestAreApproximatelyEqual()
|
|
{
|
|
TestFloatsAreApproximatelyEqual();
|
|
TestDoublesAreApproximatelyEqual();
|
|
}
|
|
|
|
#undef A
|
|
|
|
int
|
|
main()
|
|
{
|
|
TestAreIdentical();
|
|
TestExponentComponent();
|
|
TestPredicates();
|
|
TestAreApproximatelyEqual();
|
|
return 0;
|
|
}
|