/* * Copyright 2010-2022 Branimir Karadzic. All rights reserved. * License: https://github.com/bkaradzic/bx/blob/master/LICENSE */ #include "test.h" #include #include #include #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) ); } }