#include "prx/libc/include/Api.hpp" #include "prx/libc/include/general/VabiMacros.hpp" #include #include #include #include static void Require(bool value, int line) { if (!value) { std::fprintf(stderr, "elementary math check failed at line %d\n", line); std::abort(); } } #define Check(value) Require((value), __LINE__) constexpr double Infinity = std::numeric_limits::infinity(); constexpr float InfinityF = std::numeric_limits::infinity(); constexpr double NotANumber = std::numeric_limits::quiet_NaN(); constexpr float NotANumberF = std::numeric_limits::quiet_NaN(); constexpr double Pi = 3.141592653589793238462643383279502884; constexpr float PiF = 3.14159265358979323846f; static bool Near(double actual, double expected, double ulps) { return std::fabs(actual - expected) <= ulps * std::numeric_limits::epsilon() * std::fabs(expected); } static bool NearF(float actual, float expected, float ulps) { return std::fabs(actual - expected) <= ulps * std::numeric_limits::epsilon() * std::fabs(expected); } int main() { Check(Near(cbrt_nid_postfix(27.0), 3.0, 1.0)); Check(Near(cbrt_nid_postfix(-8.0), -2.0, 1.0)); Check(cbrt_nid_postfix(1.0) == 1.0); Check(cbrt_nid_postfix(0.0) == 0.0 && !std::signbit(cbrt_nid_postfix(0.0))); Check(cbrt_nid_postfix(-0.0) == 0.0 && std::signbit(cbrt_nid_postfix(-0.0))); Check(cbrt_nid_postfix(Infinity) == Infinity && cbrt_nid_postfix(-Infinity) == -Infinity); Check(std::isnan(cbrt_nid_postfix(NotANumber))); Check(NearF(cbrtf_nid_postfix(27.0f), 3.0f, 1.0f) && NearF(cbrtf_nid_postfix(-8.0f), -2.0f, 1.0f)); Check(std::signbit(cbrtf_nid_postfix(-0.0f)) && cbrtf_nid_postfix(-0.0f) == 0.0f); Check(cbrtf_nid_postfix(InfinityF) == InfinityF && std::isnan(cbrtf_nid_postfix(NotANumberF))); Check(acos_nid_postfix(1.0) == 0.0 && !std::signbit(acos_nid_postfix(1.0))); Check(Near(acos_nid_postfix(0.0), Pi / 2, 1.0)); Check(Near(acos_nid_postfix(-1.0), Pi, 1.0)); Check(Near(acos_nid_postfix(0.5), Pi / 3, 1.0)); Check(std::isnan(acos_nid_postfix(1.0000001)) && std::isnan(acos_nid_postfix(-2.0))); Check(std::isnan(acos_nid_postfix(Infinity)) && std::isnan(acos_nid_postfix(NotANumber))); Check(atan_nid_postfix(0.0) == 0.0 && !std::signbit(atan_nid_postfix(0.0))); Check(atan_nid_postfix(-0.0) == 0.0 && std::signbit(atan_nid_postfix(-0.0))); Check(Near(atan_nid_postfix(1.0), Pi / 4, 1.0) && Near(atan_nid_postfix(-1.0), -Pi / 4, 1.0)); Check(Near(atan_nid_postfix(Infinity), Pi / 2, 1.0) && Near(atan_nid_postfix(-Infinity), -Pi / 2, 1.0)); Check(std::isnan(atan_nid_postfix(NotANumber))); Check(atanf_nid_postfix(0.0f) == 0.0f && std::signbit(atanf_nid_postfix(-0.0f))); Check(NearF(atanf_nid_postfix(1.0f), PiF / 4, 1.0f) && NearF(atanf_nid_postfix(-InfinityF), -PiF / 2, 1.0f)); Check(std::isnan(atanf_nid_postfix(NotANumberF))); Check(tan_nid_postfix(0.0) == 0.0 && !std::signbit(tan_nid_postfix(0.0))); Check(tan_nid_postfix(-0.0) == 0.0 && std::signbit(tan_nid_postfix(-0.0))); Check(Near(tan_nid_postfix(Pi / 4), 1.0, 2.0)); Check(Near(tan_nid_postfix(-Pi / 4), -1.0, 2.0)); Check(std::isnan(tan_nid_postfix(Infinity)) && std::isnan(tan_nid_postfix(-Infinity)) && std::isnan(tan_nid_postfix(NotANumber))); Check(tanf_nid_postfix(0.0f) == 0.0f && std::signbit(tanf_nid_postfix(-0.0f))); Check(NearF(tanf_nid_postfix(PiF / 4), 1.0f, 2.0f)); Check(std::isnan(tanf_nid_postfix(InfinityF))); Check(log2_nid_postfix(1.0) == 0.0 && !std::signbit(log2_nid_postfix(1.0))); Check(log2_nid_postfix(2.0) == 1.0 && log2_nid_postfix(8.0) == 3.0 && log2_nid_postfix(1024.0) == 10.0); Check(log2_nid_postfix(0.5) == -1.0 && log2_nid_postfix(0.125) == -3.0); Check(log2_nid_postfix(0.0) == -Infinity && log2_nid_postfix(-0.0) == -Infinity); Check(log2_nid_postfix(Infinity) == Infinity); Check(std::isnan(log2_nid_postfix(-1.0)) && std::isnan(log2_nid_postfix(-Infinity)) && std::isnan(log2_nid_postfix(NotANumber))); Check(log2f_nid_postfix(1.0f) == 0.0f && log2f_nid_postfix(8.0f) == 3.0f && log2f_nid_postfix(0.25f) == -2.0f); Check(log2f_nid_postfix(0.0f) == -InfinityF && log2f_nid_postfix(InfinityF) == InfinityF); Check(std::isnan(log2f_nid_postfix(-1.0f)) && std::isnan(log2f_nid_postfix(NotANumberF))); { double sine = 9.0; double cosine = 9.0; sincos_nid_postfix(0.0, &sine, &cosine); Check(sine == 0.0 && !std::signbit(sine) && cosine == 1.0); sincos_nid_postfix(-0.0, &sine, &cosine); Check(sine == 0.0 && std::signbit(sine) && cosine == 1.0); sincos_nid_postfix(Pi / 2, &sine, &cosine); Check(sine == 1.0 && std::fabs(cosine) < 1.0e-15); sincos_nid_postfix(Pi, &sine, &cosine); Check(std::fabs(sine) < 1.0e-15 && cosine == -1.0); sincos_nid_postfix(Pi / 6, &sine, &cosine); Check(Near(sine, 0.5, 2.0) && Near(cosine, 0.8660254037844386, 2.0)); sincos_nid_postfix(Infinity, &sine, &cosine); Check(std::isnan(sine) && std::isnan(cosine)); sincos_nid_postfix(NotANumber, &sine, &cosine); Check(std::isnan(sine) && std::isnan(cosine)); } { float sine = 9.0f; float cosine = 9.0f; sincosf_nid_postfix(0.0f, &sine, &cosine); Check(sine == 0.0f && !std::signbit(sine) && cosine == 1.0f); sincosf_nid_postfix(-0.0f, &sine, &cosine); Check(sine == 0.0f && std::signbit(sine) && cosine == 1.0f); sincosf_nid_postfix(PiF / 2, &sine, &cosine); Check(sine == 1.0f && std::fabs(cosine) < 1.0e-6f); sincosf_nid_postfix(PiF / 6, &sine, &cosine); Check(NearF(sine, 0.5f, 2.0f) && NearF(cosine, 0.8660254f, 2.0f)); sincosf_nid_postfix(InfinityF, &sine, &cosine); Check(std::isnan(sine) && std::isnan(cosine)); sincosf_nid_postfix(NotANumberF, &sine, &cosine); Check(std::isnan(sine) && std::isnan(cosine)); } return 0; }