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math_test.cpp
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/*
* Copyright 2010-2022 Branimir Karadzic. All rights reserved.
* License: https://github.com/bkaradzic/bx/blob/master/LICENSE
*/
#include "test.h"
#include <bx/math.h>
#include <bx/file.h>
#include <math.h>
#if !BX_COMPILER_MSVC || BX_COMPILER_MSVC >= 1800
TEST_CASE("isFinite, isInfinite, isNan", "")
{
for (uint64_t ii = 0; ii < UINT32_MAX; ii += rand()%(1<<13)+1)
{
union { uint32_t ui; float f; } u = { uint32_t(ii) };
REQUIRE(std::isnan(u.f) == bx::isNan(u.f) );
REQUIRE(std::isfinite(u.f) == bx::isFinite(u.f) );
REQUIRE(std::isinf(u.f) == bx::isInfinite(u.f) );
}
}
#endif // !BX_COMPILER_MSVC || BX_COMPILER_MSVC >= 1800
bool log2_test(float _a)
{
return bx::log2(_a) == bx::log(_a) * (1.0f / bx::log(2.0f) );
}
TEST_CASE("log2", "")
{
log2_test(0.0f);
log2_test(256.0f);
REQUIRE(0.0f == bx::log2(1.0f) );
REQUIRE(0 == bx::log2(1) );
REQUIRE(1.0f == bx::log2(2.0f) );
REQUIRE(1 == bx::log2(2) );
REQUIRE(2.0f == bx::log2(4.0f) );
REQUIRE(2 == bx::log2(4) );
REQUIRE(3.0f == bx::log2(8.0f) );
REQUIRE(3 == bx::log2(8) );
REQUIRE(4.0f == bx::log2(16.0f) );
REQUIRE(4 == bx::log2(16) );
REQUIRE(5.0f == bx::log2(32.0f) );
REQUIRE(5 == bx::log2(32) );
REQUIRE(6.0f == bx::log2(64.0f) );
REQUIRE(6 == bx::log2(64) );
REQUIRE(7.0f == bx::log2(128.0f) );
REQUIRE(7 == bx::log2(128) );
REQUIRE(8.0f == bx::log2(256.0f) );
REQUIRE(8 == bx::log2(256) );
}
TEST_CASE("libm", "")
{
bx::WriterI* writer = bx::getNullOut();
REQUIRE(1389.0f == bx::abs(-1389.0f) );
REQUIRE(1389.0f == bx::abs( 1389.0f) );
REQUIRE( 0.0f == bx::abs(-0.0f) );
REQUIRE( 0.0f == bx::abs( 0.0f) );
REQUIRE(389.0f == bx::mod(1389.0f, 1000.0f) );
REQUIRE(bx::isNan(bx::mod(0.0f, 0.0f) ) );
REQUIRE( 13.0f == bx::floor( 13.89f) );
REQUIRE(-14.0f == bx::floor(-13.89f) );
REQUIRE( 14.0f == bx::ceil( 13.89f) );
REQUIRE(-13.0f == bx::ceil( -13.89f) );
REQUIRE( 13.0f == bx::trunc( 13.89f) );
REQUIRE(-13.0f == bx::trunc(-13.89f) );
REQUIRE(bx::isEqual( 0.89f, bx::fract( 13.89f), 0.000001f) );
REQUIRE(bx::isEqual(-0.89f, bx::fract(-13.89f), 0.000001f) );
bx::Error err;
for (int32_t yy = -10; yy < 10; ++yy)
{
for (float xx = -100.0f; xx < 100.0f; xx += 0.1f)
{
bx::write(writer, &err, "ldexp(%f, %d) == %f (expected: %f)\n", xx, yy, bx::ldexp(xx, yy), ::ldexpf(xx, yy) );
REQUIRE(bx::isEqual(bx::ldexp(xx, yy), ::ldexpf(xx, yy), 0.00001f) );
}
}
for (float xx = -80.0f; xx < 80.0f; xx += 0.1f)
{
bx::write(writer, &err, "exp(%f) == %f (expected: %f)\n", xx, bx::exp(xx), ::expf(xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::exp(xx), ::expf(xx), 0.00001f) );
}
for (float xx = 0.0f; xx < 100.0f; xx += 0.1f)
{
bx::write(writer, &err, "rsqrt(%f) == %f (expected: %f)\n", xx, bx::rsqrt(xx), 1.0f/::sqrtf(xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::rsqrt(xx), 1.0f/::sqrtf(xx), 0.00001f) );
}
for (float xx = 0.0f; xx < 100.0f; xx += 0.1f)
{
bx::write(writer, &err, "sqrt(%f) == %f (expected: %f)\n", xx, bx::sqrt(xx), ::sqrtf(xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::sqrt(xx), ::sqrtf(xx), 0.00001f) );
}
for (float xx = -100.0f; xx < 100.0f; xx += 0.1f)
{
bx::write(writer, &err, "pow(1.389f, %f) == %f (expected: %f)\n", xx, bx::pow(1.389f, xx), ::powf(1.389f, xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::pow(1.389f, xx), ::powf(1.389f, xx), 0.00001f) );
}
for (float xx = -1.0f; xx < 1.0f; xx += 0.001f)
{
bx::write(writer, &err, "asin(%f) == %f (expected: %f)\n", xx, bx::asin(xx), ::asinf(xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::asin(xx), ::asinf(xx), 0.0001f) );
}
for (float xx = -100.0f; xx < 100.0f; xx += 0.1f)
{
bx::write(writer, &err, "sin(%f) == %f (expected: %f)\n", xx, bx::sin(xx), ::sinf(xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::sin(xx), ::sinf(xx), 0.00001f) );
}
for (float xx = -1.0f; xx < 1.0f; xx += 0.1f)
{
bx::write(writer, &err, "sinh(%f) == %f (expected: %f)\n", xx, bx::sinh(xx), ::sinhf(xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::sinh(xx), ::sinhf(xx), 0.00001f) );
}
for (float xx = -1.0f; xx < 1.0f; xx += 0.001f)
{
bx::write(writer, &err, "acos(%f) == %f (expected: %f\n)", xx, bx::acos(xx), ::acosf(xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::acos(xx), ::acosf(xx), 0.0001f) );
}
for (float xx = -100.0f; xx < 100.0f; xx += 0.1f)
{
bx::write(writer, &err, "cos(%f) == %f (expected: %f)\n", xx, bx::cos(xx), ::cosf(xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::cos(xx), ::cosf(xx), 0.00001f) );
}
for (float xx = -100.0f; xx < 100.0f; xx += 0.1f)
{
bx::write(writer, &err, "tan(%f) == %f (expected: %f)\n", xx, bx::tan(xx), ::tanf(xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::tan(xx), ::tanf(xx), 0.001f) );
}
for (float xx = -1.0f; xx < 1.0f; xx += 0.1f)
{
bx::write(writer, &err, "tanh(%f) == %f (expected: %f\n", xx, bx::tanh(xx), ::tanhf(xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::tanh(xx), ::tanhf(xx), 0.00001f) );
}
for (float xx = -100.0f; xx < 100.0f; xx += 0.1f)
{
bx::write(writer, &err, "atan(%f) == %f (expected: %f)\n", xx, bx::atan(xx), ::atanf(xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::atan(xx), ::atanf(xx), 0.00001f) );
}
for (float yy = -100.0f; yy < 100.0f; yy += 0.1f)
{
for (float xx = -100.0f; xx < 100.0f; xx += 0.1f)
{
bx::write(writer, &err, "atan2(%f, %f) == %f (expected: %f)\n", yy, xx, bx::atan2(yy, xx), ::atan2f(yy, xx) );
REQUIRE(err.isOk() );
REQUIRE(bx::isEqual(bx::atan2(yy, xx), ::atan2f(yy, xx), 0.00001f) );
}
}
REQUIRE(bx::isEqual(bx::atan2(0.0f, 0.0f), ::atan2f(0.0f, 0.0f), 0.00001f) );
}
TEST_CASE("ToBits", "")
{
REQUIRE(UINT32_C(0x12345678) == bx::floatToBits( bx::bitsToFloat( UINT32_C(0x12345678) ) ) );
REQUIRE(UINT64_C(0x123456789abcdef0) == bx::doubleToBits(bx::bitsToDouble(UINT32_C(0x123456789abcdef0) ) ) );
}
TEST_CASE("lerp", "")
{
REQUIRE(1389.0f == bx::lerp(1389.0f, 1453.0f, 0.0f) );
REQUIRE(1453.0f == bx::lerp(1389.0f, 1453.0f, 1.0f) );
REQUIRE(0.5f == bx::lerp(0.0f, 1.0f, 0.5f) );
}
void mtxCheck(const float* _a, const float* _b)
{
if (!bx::isEqual(_a, _b, 16, 0.01f) )
{
DBG("\n"
"A:\n"
"%10.4f %10.4f %10.4f %10.4f\n"
"%10.4f %10.4f %10.4f %10.4f\n"
"%10.4f %10.4f %10.4f %10.4f\n"
"%10.4f %10.4f %10.4f %10.4f\n"
"B:\n"
"%10.4f %10.4f %10.4f %10.4f\n"
"%10.4f %10.4f %10.4f %10.4f\n"
"%10.4f %10.4f %10.4f %10.4f\n"
"%10.4f %10.4f %10.4f %10.4f\n"
, _a[ 0], _a[ 1], _a[ 2], _a[ 3]
, _a[ 4], _a[ 5], _a[ 6], _a[ 7]
, _a[ 8], _a[ 9], _a[10], _a[11]
, _a[12], _a[13], _a[14], _a[15]
, _b[ 0], _b[ 1], _b[ 2], _b[ 3]
, _b[ 4], _b[ 5], _b[ 6], _b[ 7]
, _b[ 8], _b[ 9], _b[10], _b[11]
, _b[12], _b[13], _b[14], _b[15]
);
REQUIRE(false);
}
}
TEST_CASE("quaternion", "")
{
float mtxQ[16];
float mtx[16];
bx::Quaternion quat = bx::init::Identity;
bx::Quaternion q2 = bx::init::None;
bx::Vec3 axis = bx::init::None;
bx::Vec3 euler = bx::init::None;
float angle;
bx::mtxFromQuaternion(mtxQ, quat);
bx::mtxIdentity(mtx);
mtxCheck(mtxQ, mtx);
float ax = bx::kPi/27.0f;
float ay = bx::kPi/13.0f;
float az = bx::kPi/7.0f;
{ // x
quat = bx::rotateX(ax);
bx::mtxFromQuaternion(mtxQ, quat);
bx::mtxRotateX(mtx, ax);
mtxCheck(mtxQ, mtx);
bx::toAxisAngle(axis, angle, quat);
REQUIRE(bx::isEqual(axis, bx::Vec3{1.0f, 0.0f, 0.0f}, 0.01f) );
REQUIRE(bx::isEqual(angle, ax, 0.01f) );
euler = bx::toEuler(quat);
REQUIRE(bx::isEqual(euler.x, ax, 0.001f) );
q2 = bx::fromEuler(euler);
REQUIRE(bx::isEqual(quat, q2, 0.001f) );
}
{ // y
quat = bx::rotateY(ay);
bx::mtxFromQuaternion(mtxQ, quat);
bx::mtxRotateY(mtx, ay);
mtxCheck(mtxQ, mtx);
bx::toAxisAngle(axis, angle, quat);
REQUIRE(bx::isEqual(axis, bx::Vec3{0.0f, 1.0f, 0.0f}, 0.01f) );
REQUIRE(bx::isEqual(angle, ay, 0.01f) );
euler = bx::toEuler(quat);
REQUIRE(bx::isEqual(euler.y, ay, 0.001f) );
q2 = bx::fromEuler(euler);
REQUIRE(bx::isEqual(quat, q2, 0.001f) );
}
{ // z
quat = bx::rotateZ(az);
bx::mtxFromQuaternion(mtxQ, quat);
bx::mtxRotateZ(mtx, az);
mtxCheck(mtxQ, mtx);
bx::toAxisAngle(axis, angle, quat);
REQUIRE(bx::isEqual(axis, bx::Vec3{0.0f, 0.0f, 1.0f}, 0.01f) );
REQUIRE(bx::isEqual(angle, az, 0.01f) );
euler = bx::toEuler(quat);
REQUIRE(bx::isEqual(euler.z, az, 0.001f) );
q2 = bx::fromEuler(euler);
REQUIRE(bx::isEqual(quat, q2, 0.001f) );
}
}