mirror of
https://github.com/LadybirdBrowser/ladybird.git
synced 2025-10-25 17:39:27 +00:00
2af028132a
Doesn't use them in libc headers so that those don't have to pull in AK/Platform.h. AK_COMPILER_GCC is set _only_ for gcc, not for clang too. (__GNUC__ is defined in clang builds as well.) Using AK_COMPILER_GCC simplifies things some. AK_COMPILER_CLANG isn't as much of a win, other than that it's consistent with AK_COMPILER_GCC.
293 lines
13 KiB
C++
293 lines
13 KiB
C++
/*
|
|
* Copyright (c) 2018-2021, Andreas Kling <kling@serenityos.org>
|
|
*
|
|
* SPDX-License-Identifier: BSD-2-Clause
|
|
*/
|
|
|
|
#include <AK/Platform.h>
|
|
|
|
#if defined(AK_COMPILER_CLANG)
|
|
# pragma clang optimize off
|
|
#else
|
|
# pragma GCC optimize("O0")
|
|
#endif
|
|
|
|
#include <LibTest/TestCase.h>
|
|
|
|
#include <float.h>
|
|
#include <math.h>
|
|
|
|
TEST_CASE(atan2)
|
|
{
|
|
EXPECT_APPROXIMATE(atan2(-1, -0.0e0), -M_PI_2);
|
|
EXPECT_APPROXIMATE(atan2(-0.0e0, -1), -M_PI);
|
|
EXPECT_APPROXIMATE(atan2(0.0e0, -1), M_PI);
|
|
EXPECT_APPROXIMATE(atan2(-0.0e0, 1), -0.0e0);
|
|
EXPECT_APPROXIMATE(atan2(0.0e0, 1), 0.0e0);
|
|
}
|
|
|
|
TEST_CASE(trig)
|
|
{
|
|
EXPECT_APPROXIMATE(sin(1234), 0.601928);
|
|
EXPECT_APPROXIMATE(cos(1234), -0.798551);
|
|
EXPECT_APPROXIMATE(tan(1234), -0.753775);
|
|
EXPECT_APPROXIMATE(sqrt(1234), 35.128336);
|
|
EXPECT_APPROXIMATE(sin(-1), -0.8414709848078965);
|
|
EXPECT_APPROXIMATE(cos(-1), 0.5403023058681398);
|
|
EXPECT_APPROXIMATE(tan(-1), -1.5574077246549023);
|
|
EXPECT(isnan(sqrt(-1)));
|
|
EXPECT(isnan(asin(1.1)));
|
|
EXPECT(isnan(asin(-1.1)));
|
|
EXPECT_APPROXIMATE(asin(0), 0.0);
|
|
EXPECT_APPROXIMATE(asin(0.01), 0.01);
|
|
EXPECT_APPROXIMATE(asin(0.1), 0.100167);
|
|
EXPECT_APPROXIMATE(asin(0.3), 0.304693);
|
|
EXPECT_APPROXIMATE(asin(0.499), 0.522444);
|
|
EXPECT_APPROXIMATE(asin(0.5), 0.523599);
|
|
EXPECT_APPROXIMATE(asin(0.501), 0.524754);
|
|
EXPECT_APPROXIMATE(asin(0.9), 1.119770);
|
|
EXPECT_APPROXIMATE(asin(0.99), 1.429257);
|
|
EXPECT_APPROXIMATE(asin(1.0), 1.570796);
|
|
EXPECT_APPROXIMATE(atan(0), 0.0);
|
|
EXPECT_APPROXIMATE(atan(0.5), 0.463648);
|
|
EXPECT_APPROXIMATE(atan(-0.5), -0.463648);
|
|
EXPECT_APPROXIMATE(atan(5.5), 1.390943);
|
|
EXPECT_APPROXIMATE(atan(-5.5), -1.390943);
|
|
EXPECT_APPROXIMATE(atan(555.5), 1.568996);
|
|
}
|
|
|
|
TEST_CASE(other)
|
|
{
|
|
EXPECT_EQ(trunc(9999999999999.5), 9999999999999.0);
|
|
EXPECT_EQ(trunc(-9999999999999.5), -9999999999999.0);
|
|
}
|
|
|
|
TEST_CASE(exponents)
|
|
{
|
|
struct values {
|
|
double x;
|
|
double exp;
|
|
double sinh;
|
|
double cosh;
|
|
double tanh;
|
|
};
|
|
|
|
values values[8] {
|
|
{ 1.500000, 4.481689, 2.129279, 2.352410, 0.905148 },
|
|
{ 20.990000, 1305693298.670892, 652846649.335446, 652846649.335446, 1.000000 },
|
|
{ 20.010000, 490041186.687082, 245020593.343541, 245020593.343541, 1.000000 },
|
|
{ 0.000000, 1.000000, 0.000000, 1.000000, 0.000000 },
|
|
{ 0.010000, 1.010050, 0.010000, 1.000050, 0.010000 },
|
|
{ -0.010000, 0.990050, -0.010000, 1.000050, -0.010000 },
|
|
{ -1.000000, 0.367879, -1.175201, 1.543081, -0.761594 },
|
|
{ -17.000000, 0.000000, -12077476.376788, 12077476.376788, -1.000000 },
|
|
};
|
|
for (auto& v : values) {
|
|
EXPECT_APPROXIMATE(exp(v.x), v.exp);
|
|
EXPECT_APPROXIMATE(sinh(v.x), v.sinh);
|
|
EXPECT_APPROXIMATE(cosh(v.x), v.cosh);
|
|
EXPECT_APPROXIMATE(tanh(v.x), v.tanh);
|
|
}
|
|
EXPECT_EQ(exp(1000), __builtin_huge_val());
|
|
}
|
|
|
|
TEST_CASE(logarithms)
|
|
{
|
|
EXPECT(isnan(log(-1)));
|
|
EXPECT(log(0) < -1000000);
|
|
EXPECT_APPROXIMATE(log(0.5), -0.693147);
|
|
EXPECT_APPROXIMATE(log(1.1), 0.095310);
|
|
EXPECT_APPROXIMATE(log(5), 1.609438);
|
|
EXPECT_APPROXIMATE(log(5.5), 1.704748);
|
|
EXPECT_APPROXIMATE(log(500), 6.214608);
|
|
EXPECT_APPROXIMATE(log2(5), 2.321928);
|
|
EXPECT_APPROXIMATE(log10(5), 0.698970);
|
|
}
|
|
|
|
union Extractor {
|
|
explicit Extractor(double d)
|
|
: d(d)
|
|
{
|
|
}
|
|
Extractor(unsigned sign, unsigned exponent, unsigned long long mantissa)
|
|
: mantissa(mantissa)
|
|
, exponent(exponent)
|
|
, sign(sign)
|
|
{
|
|
}
|
|
struct {
|
|
unsigned long long mantissa : 52;
|
|
unsigned exponent : 11;
|
|
unsigned sign : 1;
|
|
};
|
|
double d;
|
|
|
|
bool operator==(Extractor const& other) const
|
|
{
|
|
return other.sign == sign && other.exponent == exponent && other.mantissa == mantissa;
|
|
}
|
|
};
|
|
namespace AK {
|
|
template<>
|
|
struct Formatter<Extractor> : StandardFormatter {
|
|
ErrorOr<void> format(FormatBuilder& builder, Extractor const& value)
|
|
{
|
|
TRY(builder.put_literal("{"sv));
|
|
TRY(builder.put_u64(value.sign));
|
|
TRY(builder.put_literal(", "sv));
|
|
TRY(builder.put_u64(value.exponent, 16, true));
|
|
TRY(builder.put_literal(", "sv));
|
|
TRY(builder.put_u64(value.mantissa, 16, true));
|
|
TRY(builder.put_literal("}"sv));
|
|
return {};
|
|
}
|
|
};
|
|
}
|
|
|
|
static Extractor nextafter_translator(Extractor x, Extractor target)
|
|
{
|
|
return Extractor(nextafter(x.d, target.d));
|
|
}
|
|
|
|
TEST_CASE(nextafter)
|
|
{
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x7fe, 0xfffffffffffff), Extractor(0x0, 0x7fe, 0xfffffffffffff)), Extractor(0x0, 0x7fe, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x1, 0x0), Extractor(0x0, 0x412, 0xe848000000000)), Extractor(0x0, 0x1, 0x1));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x3ff, 0x0), Extractor(0x0, 0x412, 0xe848200000000)), Extractor(0x0, 0x3ff, 0x1));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x0, 0x0), Extractor(0x0, 0x412, 0xe848000000000)), Extractor(0x0, 0x0, 0x1));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x0, 0x0), Extractor(0x0, 0x412, 0xe848000000000)), Extractor(0x0, 0x0, 0x1));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x3ff, 0x0), Extractor(0x0, 0x412, 0xe847e00000000)), Extractor(0x1, 0x3fe, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x0, 0x1), Extractor(0x0, 0x412, 0xe848000000000)), Extractor(0x0, 0x0, 0x2));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x7fe, 0xfffffffffffff), Extractor(0x0, 0x7fe, 0xfffffffffffff)), Extractor(0x0, 0x7fe, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x412, 0xe848000000000), Extractor(0x0, 0x1, 0x0)), Extractor(0x0, 0x412, 0xe847fffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x412, 0xe848200000000), Extractor(0x0, 0x3ff, 0x0)), Extractor(0x0, 0x412, 0xe8481ffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x412, 0xe848000000000), Extractor(0x1, 0x0, 0x0)), Extractor(0x0, 0x412, 0xe847fffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x412, 0xe848000000000), Extractor(0x0, 0x0, 0x0)), Extractor(0x0, 0x412, 0xe847fffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x412, 0xe847e00000000), Extractor(0x1, 0x3ff, 0x0)), Extractor(0x0, 0x412, 0xe847dffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x412, 0xe848000000000), Extractor(0x0, 0x0, 0x1)), Extractor(0x0, 0x412, 0xe847fffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x7fe, 0xfffffffffffff), Extractor(0x0, 0x7fe, 0xfffffffffffff)), Extractor(0x0, 0x7fe, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x1, 0x0), Extractor(0x0, 0x1, 0x0)), Extractor(0x0, 0x1, 0x0));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x3ff, 0x0), Extractor(0x0, 0x3ff, 0x0)), Extractor(0x0, 0x3ff, 0x0));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x0, 0x0), Extractor(0x1, 0x0, 0x0)), Extractor(0x1, 0x0, 0x0));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x0, 0x0), Extractor(0x0, 0x0, 0x0)), Extractor(0x0, 0x0, 0x0));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x3ff, 0x0), Extractor(0x1, 0x3ff, 0x0)), Extractor(0x1, 0x3ff, 0x0));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x0, 0x1), Extractor(0x0, 0x0, 0x1)), Extractor(0x0, 0x0, 0x1));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x7fe, 0xfffffffffffff), Extractor(0x0, 0x7fe, 0xfffffffffffff)), Extractor(0x1, 0x7fe, 0xffffffffffffe));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x1, 0x0), Extractor(0x0, 0x1, 0x0)), Extractor(0x1, 0x0, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x3ff, 0x0), Extractor(0x0, 0x3ff, 0x0)), Extractor(0x1, 0x3fe, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x0, 0x0), Extractor(0x1, 0x0, 0x0)), Extractor(0x1, 0x0, 0x0));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x0, 0x0), Extractor(0x0, 0x0, 0x0)), Extractor(0x0, 0x0, 0x0));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x3ff, 0x0), Extractor(0x1, 0x3ff, 0x0)), Extractor(0x0, 0x3fe, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x0, 0x1), Extractor(0x0, 0x0, 0x1)), Extractor(0x1, 0x0, 0x0));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x7fe, 0xfffffffffffff), Extractor(0x1, 0x7fe, 0xfffffffffffff)), Extractor(0x0, 0x7fe, 0xffffffffffffe));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x1, 0x0), Extractor(0x1, 0x1, 0x0)), Extractor(0x0, 0x0, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x3ff, 0x0), Extractor(0x1, 0x3ff, 0x0)), Extractor(0x0, 0x3fe, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x0, 0x0), Extractor(0x0, 0x0, 0x0)), Extractor(0x0, 0x0, 0x0));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x0, 0x0), Extractor(0x1, 0x0, 0x0)), Extractor(0x1, 0x0, 0x0));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x3ff, 0x0), Extractor(0x0, 0x3ff, 0x0)), Extractor(0x1, 0x3fe, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x0, 0x1), Extractor(0x1, 0x0, 0x1)), Extractor(0x0, 0x0, 0x0));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x7fe, 0xfffffffffffff), Extractor(0x0, 0x7fe, 0xfffffffffffff)), Extractor(0x0, 0x7fe, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x1, 0x0), Extractor(0x1, 0x419, 0x7d78400000000)), Extractor(0x0, 0x0, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x3ff, 0x0), Extractor(0x1, 0x419, 0x7d783fc000000)), Extractor(0x0, 0x3fe, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x0, 0x0), Extractor(0x1, 0x419, 0x7d78400000000)), Extractor(0x1, 0x0, 0x1));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x0, 0x0), Extractor(0x1, 0x419, 0x7d78400000000)), Extractor(0x1, 0x0, 0x1));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x3ff, 0x0), Extractor(0x1, 0x419, 0x7d78404000000)), Extractor(0x1, 0x3ff, 0x1));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x0, 0x1), Extractor(0x1, 0x419, 0x7d78400000000)), Extractor(0x0, 0x0, 0x0));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x0, 0x7fe, 0xfffffffffffff), Extractor(0x0, 0x7fe, 0xfffffffffffff)), Extractor(0x0, 0x7fe, 0xfffffffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x419, 0x7d78400000000), Extractor(0x0, 0x1, 0x0)), Extractor(0x1, 0x419, 0x7d783ffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x419, 0x7d783fc000000), Extractor(0x0, 0x3ff, 0x0)), Extractor(0x1, 0x419, 0x7d783fbffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x419, 0x7d78400000000), Extractor(0x1, 0x0, 0x0)), Extractor(0x1, 0x419, 0x7d783ffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x419, 0x7d78400000000), Extractor(0x0, 0x0, 0x0)), Extractor(0x1, 0x419, 0x7d783ffffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x419, 0x7d78404000000), Extractor(0x1, 0x3ff, 0x0)), Extractor(0x1, 0x419, 0x7d78403ffffff));
|
|
EXPECT_EQ(nextafter_translator(Extractor(0x1, 0x419, 0x7d78400000000), Extractor(0x0, 0x0, 0x1)), Extractor(0x1, 0x419, 0x7d783ffffffff));
|
|
}
|
|
|
|
TEST_CASE(scalbn)
|
|
{
|
|
EXPECT(isnan(scalbn(NAN, 3)));
|
|
EXPECT(!isfinite(scalbn(INFINITY, 5)));
|
|
EXPECT_EQ(scalbn(0, 3), 0);
|
|
EXPECT_EQ(scalbn(15.3, 0), 15.3);
|
|
|
|
// TODO: implement denormal handling in fallback scalbn
|
|
// EXPECT_EQ(scalbn(0x0.0000000000008p-1022, 16), 0x0.0000000000008p-1006);
|
|
static constexpr auto biggest_subnormal = DBL_MIN - DBL_TRUE_MIN;
|
|
auto smallest_normal = scalbn(biggest_subnormal, 1);
|
|
Extractor ex(smallest_normal);
|
|
EXPECT(ex.exponent != 0);
|
|
|
|
EXPECT_EQ(scalbn(2.0, 4), 32.0);
|
|
}
|
|
|
|
TEST_CASE(gamma)
|
|
{
|
|
EXPECT(isinf(tgamma(+0.0)) && !signbit(tgamma(+0.0)));
|
|
EXPECT(isinf(tgamma(-0.0)) && signbit(tgamma(-0.0)));
|
|
EXPECT(isinf(tgamma(INFINITY)) && !signbit(tgamma(INFINITY)));
|
|
EXPECT(isnan(tgamma(NAN)));
|
|
EXPECT(isnan(tgamma(-INFINITY)));
|
|
EXPECT(isnan(tgamma(-5)));
|
|
|
|
// TODO: investigate Stirling approximation implementation of gamma function
|
|
// EXPECT_APPROXIMATE(tgamma(0.5), sqrt(M_PI));
|
|
EXPECT_EQ(tgammal(21.0l), 2'432'902'008'176'640'000.0l);
|
|
EXPECT_EQ(tgamma(19.0), 6'402'373'705'728'000.0);
|
|
EXPECT_EQ(tgammaf(11.0f), 3628800.0f);
|
|
EXPECT_EQ(tgamma(4.0), 6);
|
|
|
|
EXPECT_EQ(lgamma(1.0), 0.0);
|
|
EXPECT_EQ(lgamma(2.0), 0.0);
|
|
EXPECT(isinf(lgamma(0.0)));
|
|
EXPECT(!signbit(lgamma(-0.0)));
|
|
EXPECT(isnan(lgamma(NAN)));
|
|
EXPECT(isinf(lgamma(INFINITY)));
|
|
EXPECT(isinf(lgamma(-INFINITY)));
|
|
EXPECT_EQ(signgam, 1);
|
|
lgamma(-2.5);
|
|
EXPECT_EQ(signgam, -1);
|
|
}
|
|
|
|
TEST_CASE(fmax_and_fmin)
|
|
{
|
|
EXPECT(fmax(-INFINITY, 0) == 0);
|
|
EXPECT(fmax(NAN, 12) == 12);
|
|
EXPECT(fmax(5, NAN) == 5);
|
|
EXPECT(isnan(fmax(NAN, NAN)));
|
|
EXPECT(isinf(fmax(1'000'000, INFINITY)));
|
|
|
|
EXPECT(isinf(fmin(-INFINITY, 0)));
|
|
EXPECT(fmin(0, INFINITY) == 0);
|
|
EXPECT(fmin(NAN, 5) == 5);
|
|
EXPECT(fmin(0, NAN) == 0);
|
|
EXPECT(isnan(fmin(NAN, NAN)));
|
|
}
|
|
|
|
TEST_CASE(acos)
|
|
{
|
|
EXPECT_APPROXIMATE(acos(-1), M_PI);
|
|
EXPECT_APPROXIMATE(acos(0), 0.5 * M_PI);
|
|
EXPECT_APPROXIMATE(acos(1), 0);
|
|
EXPECT(isnan(acos(1.1)));
|
|
}
|
|
|
|
TEST_CASE(floor)
|
|
{
|
|
EXPECT_EQ(floor(0.125), 0);
|
|
EXPECT_EQ(floor(-0.125), -1.0);
|
|
EXPECT_EQ(floor(0.5), 0);
|
|
EXPECT_EQ(floor(-0.5), -1.0);
|
|
EXPECT_EQ(floor(0.25), 0);
|
|
EXPECT_EQ(floor(-0.25), -1.0);
|
|
EXPECT_EQ(floor(-3.0 / 2.0), -2.0);
|
|
}
|
|
|
|
TEST_CASE(ceil)
|
|
{
|
|
EXPECT_EQ(ceil(0.125), 1.0);
|
|
EXPECT_EQ(ceil(-0.125), 0);
|
|
EXPECT_EQ(ceil(0.5), 1.0);
|
|
EXPECT_EQ(ceil(-0.5), 0);
|
|
EXPECT_EQ(ceil(0.25), 1.0);
|
|
EXPECT_EQ(ceil(-0.25), 0);
|
|
EXPECT_EQ(ceil(-3.0 / 2.0), -1.0);
|
|
}
|