506 lines
28 KiB
C++
506 lines
28 KiB
C++
#include "prx/libc/include/general/VabiMacros.hpp"
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#include <bit>
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#include <cerrno>
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#include <cfenv>
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#include <cmath>
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#include <cstdint>
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#include <cstdio>
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#include <cstdlib>
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#include <cstring>
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#include <limits>
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#include <initializer_list>
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extern "C" {
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double APS5_VABI atof_nid_postfix(const char*);
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float APS5_VABI strtof_nid_postfix(const char*, char**);
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long double APS5_VABI strtold_nid_postfix(const char*, char**);
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std::int64_t APS5_VABI strtol_nid_postfix(const char*, char**, int);
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std::uint64_t APS5_VABI strtoul_nid_postfix(const char*, char**, int);
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std::intmax_t APS5_VABI strtoimax_nid_postfix(const char*, char**, int);
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long long APS5_VABI strtoll_nid_postfix(const char*, char**, int);
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unsigned long long APS5_VABI strtoull_nid_postfix(const char*, char**, int);
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std::uintmax_t APS5_VABI strtoumax_nid_postfix(const char*, char**, int);
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unsigned long long APS5_VABI _Stoull_nid_postfix(const char*, char**, int);
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std::uint64_t APS5_VABI _Stoul_nid_postfix(const char*, char**, int);
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std::int64_t APS5_VABI atol_nid_postfix(const char*);
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long long APS5_VABI atoll_nid_postfix(const char*);
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int* APS5_VABI __error_nid_postfix();
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double APS5_VABI sqrt_nid_postfix(double);
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float APS5_VABI sqrtf_nid_postfix(float);
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double APS5_VABI fabs_nid_postfix(double);
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int APS5_VABI abs_nid_postfix(int);
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double APS5_VABI trunc_nid_postfix(double);
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double APS5_VABI fma_nid_postfix(double, double, double);
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long double APS5_VABI acosl_nid_postfix(long double);
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long double APS5_VABI frexpl_nid_postfix(long double, int*);
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struct LibcFloatConstant { std::uint32_t bits[4]; };
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extern LibcFloatConstant _FInf_nid_postfix;
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extern LibcFloatConstant _FNan_nid_postfix;
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short APS5_VABI _FDtest_nid_postfix(const float*);
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int APS5_VABI __fpclassifyf_nid_postfix(float);
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float APS5_VABI fmodf_nid_postfix(float, float);
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double APS5_VABI fmod_nid_postfix(double, double);
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float APS5_VABI asinf_nid_postfix(float);
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float APS5_VABI acosf_nid_postfix(float);
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float APS5_VABI atan2f_nid_postfix(float, float);
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float APS5_VABI hypotf_nid_postfix(float, float);
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double APS5_VABI hypot_nid_postfix(double, double);
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float APS5_VABI tanf_nid_postfix(float);
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int APS5_VABI rand_nid_postfix();
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void APS5_VABI srand_nid_postfix(unsigned int);
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int APS5_VABI rand_r_nid_postfix(unsigned int*);
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float APS5_VABI log10f_nid_postfix(float);
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double APS5_VABI log1p_nid_postfix(double);
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float APS5_VABI log1pf_nid_postfix(float);
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double APS5_VABI expm1_nid_postfix(double);
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float APS5_VABI logbf_nid_postfix(float);
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double APS5_VABI exp2_nid_postfix(double);
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double APS5_VABI ldexp_nid_postfix(double, int);
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double APS5_VABI scalbn_nid_postfix(double, int);
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float APS5_VABI scalbnf_nid_postfix(float, int);
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float APS5_VABI nextafterf_nid_postfix(float, float);
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double APS5_VABI frexp_nid_postfix(double, int*);
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float APS5_VABI frexpf_nid_postfix(float, int*);
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std::int64_t APS5_VABI lround_nid_postfix(double);
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std::div_t APS5_VABI div_nid_postfix(int, int);
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double APS5_VABI sinh_nid_postfix(double);
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double APS5_VABI cosh_nid_postfix(double);
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float APS5_VABI coshf_nid_postfix(float);
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double APS5_VABI asinh_nid_postfix(double);
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float APS5_VABI asinhf_nid_postfix(float);
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double APS5_VABI acosh_nid_postfix(double);
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float APS5_VABI acoshf_nid_postfix(float);
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double APS5_VABI atanh_nid_postfix(double);
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std::int64_t APS5_VABI lroundf_nid_postfix(float);
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std::int64_t APS5_VABI llround_nid_postfix(double);
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std::int64_t APS5_VABI llroundf_nid_postfix(float);
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int APS5_VABI __isfinitef_nid_postfix(float);
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int APS5_VABI __isnormal_nid_postfix(double);
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int APS5_VABI __isnormalf_nid_postfix(float);
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int APS5_VABI __isinff_nid_postfix(float);
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int APS5_VABI __isinf_nid_postfix(double);
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std::lldiv_t APS5_VABI lldiv_nid_postfix(long long, long long);
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std::lldiv_t APS5_VABI ldiv_nid_postfix(std::int64_t, std::int64_t);
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float APS5_VABI nanf_nid_postfix(const char*);
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double APS5_VABI nan_nid_postfix(const char*);
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}
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static void Require(bool value) { if (!value) std::abort(); }
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static void CheckSquareRoot() {
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Require(sqrt_nid_postfix(4.) == 2. && sqrtf_nid_postfix(6.25f) == 2.5f);
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Require(std::bit_cast<std::uint64_t>(sqrt_nid_postfix(2.)) == 0x3ff6a09e667f3bcdull);
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Require(std::bit_cast<std::uint32_t>(sqrtf_nid_postfix(2.f)) == 0x3fb504f3u);
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Require(std::bit_cast<std::uint64_t>(sqrt_nid_postfix(0x1p-1074)) == 0x1e60000000000000ull);
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Require(std::bit_cast<std::uint64_t>(sqrt_nid_postfix(-0.)) == 0x8000000000000000ull);
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Require(std::bit_cast<std::uint32_t>(sqrtf_nid_postfix(-0.f)) == 0x80000000u);
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Require(sqrt_nid_postfix(INFINITY) == INFINITY && sqrtf_nid_postfix(INFINITY) == INFINITY);
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Require(std::isnan(sqrt_nid_postfix(-1.)) && std::isnan(sqrtf_nid_postfix(-1.f)));
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}
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static void CheckExactOperations() {
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const double nan = std::numeric_limits<double>::quiet_NaN();
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Require(fabs_nid_postfix(-3.5) == 3.5 && fabs_nid_postfix(-INFINITY) == INFINITY);
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Require(std::bit_cast<std::uint64_t>(fabs_nid_postfix(-0.)) == 0);
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Require(std::isnan(fabs_nid_postfix(-nan)) && !std::signbit(fabs_nid_postfix(-nan)));
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Require(trunc_nid_postfix(2.7) == 2. && trunc_nid_postfix(-2.7) == -2.);
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Require(std::bit_cast<std::uint64_t>(trunc_nid_postfix(-0.5)) == 0x8000000000000000ull);
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Require(trunc_nid_postfix(4503599627370497.) == 4503599627370497. && trunc_nid_postfix(-1e300) == -1e300);
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Require(trunc_nid_postfix(-INFINITY) == -INFINITY && std::isnan(trunc_nid_postfix(nan)));
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Require(fma_nid_postfix(2., 3., 4.) == 10.);
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volatile double tenth = 0.1;
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Require(fma_nid_postfix(tenth, 10., -1.) == 0x1p-54);
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Require(fma_nid_postfix(0x1p1023, 2., -0x1p1023) == 0x1p1023);
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Require(std::isnan(fma_nid_postfix(INFINITY, 0., 1.)));
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}
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static bool ExtendedBits(long double value, std::uint64_t mantissa, std::uint16_t signExponent) {
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unsigned char bytes[sizeof(long double)]{};
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std::memcpy(bytes, &value, sizeof(value));
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std::uint64_t actualMantissa = 0;
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std::uint16_t actualSignExponent = 0;
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std::memcpy(&actualMantissa, bytes, 8);
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std::memcpy(&actualSignExponent, bytes + 8, 2);
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return actualMantissa == mantissa && actualSignExponent == signExponent;
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}
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static void CheckHypotSpecialValue() {
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Require(std::bit_cast<std::uint64_t>(hypot_nid_postfix(INFINITY, std::bit_cast<double>(0x7ff0000000000001ull))) == 0x7ff0000000000000ull);
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Require(std::bit_cast<std::uint64_t>(hypot_nid_postfix(std::bit_cast<double>(0x7ff0000000000001ull), INFINITY)) == 0x7ff0000000000000ull);
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Require(std::bit_cast<std::uint64_t>(hypot_nid_postfix(-INFINITY, std::bit_cast<double>(0x7ff0000000000001ull))) == 0x7ff0000000000000ull);
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Require(std::bit_cast<std::uint64_t>(hypot_nid_postfix(std::bit_cast<double>(0x7ff0000000000001ull), -INFINITY)) == 0x7ff0000000000000ull);
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}
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static void CheckLongDouble() {
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Require(ExtendedBits(acosl_nid_postfix(-1.0L), 0xc90fdaa22168c235ull, 0x4000));
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Require(ExtendedBits(acosl_nid_postfix(0.0L), 0xc90fdaa22168c235ull, 0x3fff));
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Require(ExtendedBits(acosl_nid_postfix(1.0L), 0, 0));
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Require(std::isnan(acosl_nid_postfix(1.5L)) && std::isnan(acosl_nid_postfix(-2.0L)));
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int exponent = 77;
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Require(frexpl_nid_postfix(8.0L, &exponent) == 0.5L && exponent == 4);
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Require(frexpl_nid_postfix(-3.0L, &exponent) == -0.75L && exponent == 2);
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Require(frexpl_nid_postfix(0.375L, &exponent) == 0.75L && exponent == -1);
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long double smallest = 0;
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const std::uint64_t one = 1;
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std::memcpy(&smallest, &one, sizeof(one));
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Require(ExtendedBits(frexpl_nid_postfix(smallest, &exponent), 0x8000000000000000ull, 0x3ffe) && exponent == -16444);
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exponent = 77;
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Require(ExtendedBits(frexpl_nid_postfix(-0.0L, &exponent), 0, 0x8000) && exponent == 0);
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exponent = 77;
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Require(frexpl_nid_postfix(INFINITY, &exponent) == INFINITY && exponent == 77);
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Require(frexpl_nid_postfix(-INFINITY, &exponent) == -INFINITY && exponent == 77);
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Require(std::isnan(frexpl_nid_postfix(NAN, &exponent)) && exponent == 77);
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}
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static void CheckFmodErrno() {
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errno = 0;
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(void)fmod_nid_postfix(1.0, 0.0);
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Require(errno == 0);
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Require(fmod_nid_postfix(1e300, 3.0) == std::fmod(1e300, 3.0));
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}
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static void CheckIntegerConversions() {
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for (const long long numerator : {4294967301LL, -4294967301LL}) {
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for (const long long denominator : {3LL, -3LL}) {
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const auto result = lldiv_nid_postfix(numerator, denominator);
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Require(result.quot == numerator / denominator && result.rem == numerator % denominator);
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Require(result.quot * denominator + result.rem == numerator);
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const auto wide = ldiv_nid_postfix(numerator, denominator);
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Require(wide.quot == result.quot && wide.rem == result.rem);
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}
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}
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const auto extreme = ldiv_nid_postfix(INT64_MIN, 2);
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Require(extreme.quot == INT64_MIN / 2 && extreme.rem == 0);
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struct SignedCase {
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const char* text;
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int base;
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std::int64_t value;
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std::size_t consumed;
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int error;
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};
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const SignedCase signedCases[] = {
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{"-42tail", 10, -42, 3, 0},
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{"2147483648!", 10, INT64_C(2147483648), 10, 0},
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{"-2147483649!", 10, -INT64_C(2147483649), 11, 0},
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{"4294967296!", 10, INT64_C(4294967296), 10, 0},
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{"9223372036854775807!", 10, INT64_MAX, 19, 0},
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{"-9223372036854775808!", 10, INT64_MIN, 20, 0},
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{"9223372036854775808!", 10, INT64_MAX, 19, 34},
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{"-9223372036854775809!", 10, INT64_MIN, 20, 34},
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{"18446744073709551616000!", 10, INT64_MAX, 23, 34},
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{" \t+0x100000000z", 0, INT64_C(4294967296), 14, 0},
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{"-0x8000000000000000!", 0, INT64_MIN, 19, 0},
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{"0x8000000000000000!", 16, INT64_MAX, 18, 34},
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{"0100000000000!", 0, INT64_C(8589934592), 13, 0},
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{"100000000000000000000000000000000!", 2, INT64_C(4294967296), 33, 0},
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{"0b101", 0, 0, 1, 0},
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{"0b101", 2, 0, 1, 0},
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{" -0B1!", 0, 0, 3, 0},
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{"0b2", 0, 0, 1, 0},
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{"0b101", 16, 0xb101, 5, 0},
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{" -0xz!", 0, 0, 3, 0},
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{"0xg", 16, 0, 1, 0},
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{"0x", 16, 0, 1, 0},
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{"z!", 36, 35, 1, 0},
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{"", 10, 0, 0, 0},
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{" \t+!", 10, 0, 0, 0},
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{"123!", 10, 123, 3, 0}
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};
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for (const auto& test : signedCases) {
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char* end = nullptr;
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*__error_nid_postfix() = 0;
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const auto value = strtol_nid_postfix(test.text, &end, test.base);
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if (value != test.value || end != test.text + test.consumed || *__error_nid_postfix() != test.error) {
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std::fprintf(stderr, "Guest strtol failed for '%s' in base %d\n", test.text, test.base);
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std::abort();
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}
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*__error_nid_postfix() = 0;
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const auto maxValue = strtoimax_nid_postfix(test.text, &end, test.base);
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if (maxValue != test.value || end != test.text + test.consumed || *__error_nid_postfix() != test.error) {
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std::fprintf(stderr, "Guest strtoimax failed for '%s' in base %d\n", test.text, test.base);
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std::abort();
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}
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}
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struct UnsignedCase {
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const char* text;
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int base;
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std::uint64_t value;
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std::size_t consumed;
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int error;
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};
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const UnsignedCase unsignedCases[] = {
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{"4294967296!", 10, UINT64_C(4294967296), 10, 0},
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{"9223372036854775808!", 10, UINT64_C(9223372036854775808), 19, 0},
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{"18446744073709551615!", 10, UINT64_MAX, 20, 0},
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{"18446744073709551616!", 10, UINT64_MAX, 20, 34},
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{"18446744073709551616000!", 10, UINT64_MAX, 23, 34},
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{"-1!", 10, UINT64_MAX, 2, 0},
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{"-4294967296!", 10, UINT64_MAX - UINT64_C(4294967295), 11, 0},
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{"-18446744073709551615!", 10, 1, 21, 0},
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{"-18446744073709551616!", 10, UINT64_MAX, 21, 34},
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{" \t+0xffffffffffffffffz", 0, UINT64_MAX, 21, 0},
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{"0x10000000000000000!", 16, UINT64_MAX, 19, 34},
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{"0100000000000!", 0, UINT64_C(8589934592), 13, 0},
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{"100000000000000000000000000000000!", 2, UINT64_C(4294967296), 33, 0},
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{"0b101", 0, 0, 1, 0},
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{"0B11", 2, 0, 1, 0},
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{" +0b1!", 2, 0, 3, 0},
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{"0b101", 16, 0xb101, 5, 0},
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{" +0Xg!", 0, 0, 3, 0},
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{"0x!", 16, 0, 1, 0},
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{"z!", 36, 35, 1, 0},
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{"", 10, 0, 0, 0},
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{" \t-!", 10, 0, 0, 0},
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{"123!", 10, 123, 3, 0}
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};
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for (const auto& test : unsignedCases) {
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char* end = nullptr;
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*__error_nid_postfix() = 0;
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const auto value = strtoul_nid_postfix(test.text, &end, test.base);
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if (value != test.value || end != test.text + test.consumed || *__error_nid_postfix() != test.error) {
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std::fprintf(stderr, "Guest strtoul failed for '%s' in base %d\n", test.text, test.base);
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std::abort();
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}
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}
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for (const int base : {0, 2}) {
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const char text[] = " -0B11";
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char* end = nullptr;
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Require(strtoll_nid_postfix(text, &end, base) == 0 && end == text + 3);
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Require(strtoull_nid_postfix(text, &end, base) == 0 && end == text + 3);
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Require(strtoumax_nid_postfix(text, &end, base) == 0 && end == text + 3);
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Require(_Stoull_nid_postfix(text, &end, base) == 0 && end == text + 3);
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Require(_Stoul_nid_postfix(text, &end, base) == 0 && end == text + 3);
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}
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Require(atol_nid_postfix(" \t-4294967296tail") == -INT64_C(4294967296));
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Require(atol_nid_postfix("9223372036854775807") == INT64_MAX && atol_nid_postfix("+12") == 12);
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Require(atol_nid_postfix("0x10") == 0 && atol_nid_postfix("010") == 10 && atol_nid_postfix("") == 0);
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Require(atoll_nid_postfix("-9223372036854775808") == INT64_MIN && atoll_nid_postfix("4294967297x") == 4294967297LL);
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Require(atoll_nid_postfix(" -0012") == -12 && atoll_nid_postfix("z1") == 0);
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*__error_nid_postfix() = 13;
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Require(strtol_nid_postfix("-4294967296", nullptr, 10) == -INT64_C(4294967296));
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Require(*__error_nid_postfix() == 13);
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Require(strtoul_nid_postfix("4294967296", nullptr, 10) == UINT64_C(4294967296));
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Require(*__error_nid_postfix() == 13);
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Require(_Stoul_nid_postfix("4294967296", nullptr, 10) == UINT64_C(4294967296));
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Require(*__error_nid_postfix() == 13);
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Require(_Stoul_nid_postfix("18446744073709551615", nullptr, 10) == UINT64_MAX);
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Require(_Stoul_nid_postfix("-1", nullptr, 10) == UINT64_MAX && *__error_nid_postfix() == 13);
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*__error_nid_postfix() = 0;
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}
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static bool Near(double value, double expected, double tolerance) { return std::abs(value - expected) <= tolerance * std::abs(expected); }
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static void CheckHyperbolic() {
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const double infinity = std::numeric_limits<double>::infinity();
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Require(sinh_nid_postfix(0.) == 0. && std::signbit(sinh_nid_postfix(-0.)));
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Require(cosh_nid_postfix(0.) == 1. && coshf_nid_postfix(0.f) == 1.f);
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Require(asinh_nid_postfix(0.) == 0. && std::signbit(asinh_nid_postfix(-0.)) && std::signbit(asinhf_nid_postfix(-0.f)));
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Require(acosh_nid_postfix(1.) == 0. && acoshf_nid_postfix(1.f) == 0.f);
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Require(atanh_nid_postfix(0.) == 0. && atanh_nid_postfix(1.) == infinity && atanh_nid_postfix(-1.) == -infinity);
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Require(std::isnan(acosh_nid_postfix(0.5)) && std::isnan(acoshf_nid_postfix(0.5f)) && std::isnan(atanh_nid_postfix(2.)));
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Require(Near(sinh_nid_postfix(1.), 1.1752011936438014, 1e-15));
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Require(Near(cosh_nid_postfix(1.), 1.5430806348152437, 1e-15));
|
|
Require(Near(coshf_nid_postfix(1.f), 1.5430806348152437, 1e-6));
|
|
Require(Near(asinh_nid_postfix(1.), 0.881373587019543, 1e-15));
|
|
Require(Near(asinhf_nid_postfix(1.f), 0.881373587019543, 1e-6));
|
|
Require(Near(acosh_nid_postfix(2.), 1.3169578969248166, 1e-15));
|
|
Require(Near(acoshf_nid_postfix(2.f), 1.3169578969248166, 1e-6));
|
|
Require(Near(atanh_nid_postfix(0.5), 0.5493061443340549, 1e-15));
|
|
Require(sinh_nid_postfix(1e-300) == 1e-300 && asinh_nid_postfix(1e-300) == 1e-300 && atanh_nid_postfix(1e-300) == 1e-300);
|
|
Require(std::isfinite(cosh_nid_postfix(710.4)) && std::isfinite(sinh_nid_postfix(-710.4)) && sinh_nid_postfix(-710.4) < 0.);
|
|
Require(Near(asinh_nid_postfix(-1e300), -691.4686750787736, 1e-15));
|
|
Require(Near(acosh_nid_postfix(1e300), 691.4686750787736, 1e-15));
|
|
}
|
|
|
|
static void CheckFloatClassification() {
|
|
Require(_FInf_nid_postfix.bits[0] == 0x7f800000u && _FNan_nid_postfix.bits[0] == 0x7fc00000u);
|
|
for (int word = 1; word < 4; ++word) Require(_FInf_nid_postfix.bits[word] == 0 && _FNan_nid_postfix.bits[word] == 0);
|
|
const struct { std::uint32_t bits; short code; } cases[] = {
|
|
{0x00000000u, 0}, {0x80000000u, 0}, {0x00000001u, -2}, {0x807fffffu, -2}, {0x00800000u, -1},
|
|
{0xbf800000u, -1}, {0x7f7fffffu, -1}, {0x7f800000u, 1}, {0xff800000u, 1}, {0x7f800001u, 2},
|
|
{0x7fc00000u, 2}, {0xff810000u, 2}, {0x7f810000u, 2},
|
|
};
|
|
for (const auto& test : cases) {
|
|
float value;
|
|
std::memcpy(&value, &test.bits, sizeof(value));
|
|
if (_FDtest_nid_postfix(&value) != test.code) {
|
|
std::fprintf(stderr, "Guest _FDtest failed for %08x\n", test.bits);
|
|
std::abort();
|
|
}
|
|
const int fpclass = test.code == 0 ? 0x10 : test.code == -2 ? 0x08 : test.code == -1 ? 0x04 : test.code == 1 ? 0x01 : 0x02;
|
|
if (__fpclassifyf_nid_postfix(value) != fpclass) {
|
|
std::fprintf(stderr, "Guest __fpclassifyf failed for %08x\n", test.bits);
|
|
std::abort();
|
|
}
|
|
}
|
|
Require(_FDtest_nid_postfix(reinterpret_cast<const float*>(&_FInf_nid_postfix)) == 1);
|
|
Require(_FDtest_nid_postfix(reinterpret_cast<const float*>(&_FNan_nid_postfix)) == 2);
|
|
}
|
|
|
|
static void CheckDoubleRounding(double value, std::int64_t expected, bool invalid) {
|
|
for (const bool useLlround : {false, true}) {
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
errno = 12345;
|
|
const std::int64_t result = useLlround ? llround_nid_postfix(value) : lround_nid_postfix(value);
|
|
Require(result == expected);
|
|
Require((std::fetestexcept(FE_INVALID) != 0) == invalid);
|
|
Require(errno == 12345);
|
|
}
|
|
}
|
|
|
|
static void CheckFloatRounding(float value, std::int64_t expected, bool invalid) {
|
|
for (const bool useLlround : {false, true}) {
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
errno = 12345;
|
|
const std::int64_t result = useLlround ? llroundf_nid_postfix(value) : lroundf_nid_postfix(value);
|
|
Require(result == expected);
|
|
Require((std::fetestexcept(FE_INVALID) != 0) == invalid);
|
|
Require(errno == 12345);
|
|
}
|
|
}
|
|
|
|
int main() {
|
|
CheckFloatClassification();
|
|
CheckIntegerConversions();
|
|
Require(atof_nid_postfix(" -12.5tail") == -12.5);
|
|
char* end = nullptr;
|
|
const char input[] = "0x1.8p+2 remainder";
|
|
Require(strtof_nid_postfix(input, &end) == 6.f && end == input + 8);
|
|
const char invalid[] = "invalid";
|
|
Require(strtof_nid_postfix(invalid, &end) == 0.f && end == invalid);
|
|
*__error_nid_postfix() = 0;
|
|
Require(std::isinf(strtof_nid_postfix("1e1000", nullptr)));
|
|
Require(*__error_nid_postfix() == 34);
|
|
Require(strtold_nid_postfix("1.0000000000000000001!", &end) > 1.L && *end == '!');
|
|
Require(fmodf_nid_postfix(5.5f, 2.f) == 1.5f);
|
|
Require(fmodf_nid_postfix(-5.5f, 2.f) == -1.5f);
|
|
Require(std::signbit(fmodf_nid_postfix(-4.f, 2.f)));
|
|
Require(std::isnan(fmodf_nid_postfix(1.f, 0.f)));
|
|
Require(std::bit_cast<std::uint32_t>(nanf_nid_postfix(nullptr)) == 0x7fc00000u);
|
|
Require(std::bit_cast<std::uint32_t>(nanf_nid_postfix("")) == 0x7fc00000u);
|
|
Require(std::bit_cast<std::uint32_t>(nanf_nid_postfix("123")) == 0x7fc00000u);
|
|
Require(!std::signbit(nanf_nid_postfix("")));
|
|
Require(std::bit_cast<std::uint64_t>(nan_nid_postfix(nullptr)) == 0x7ff8000000000000ull);
|
|
Require(std::bit_cast<std::uint64_t>(nan_nid_postfix("")) == 0x7ff8000000000000ull);
|
|
Require(std::bit_cast<std::uint64_t>(nan_nid_postfix("123")) == 0x7ff8000000000000ull);
|
|
Require(!std::signbit(nan_nid_postfix("")));
|
|
Require(std::abs(asinf_nid_postfix(0.5f) - 0.5235988f) < 0.000001f);
|
|
Require(std::abs(acosf_nid_postfix(0.5f) - 1.0471976f) < 0.000001f);
|
|
Require(std::abs(atan2f_nid_postfix(1.f, -1.f) - 2.3561945f) < 0.000001f);
|
|
Require(tanf_nid_postfix(0.f) == 0.f);
|
|
unsigned int randomState = 1;
|
|
Require(rand_r_nid_postfix(&randomState) == 33613 && randomState == 33613u);
|
|
randomState = 0;
|
|
Require(rand_r_nid_postfix(&randomState) == 16806 && randomState == 16806u);
|
|
for (const unsigned int seed : {0u, 1u, 12345u, 0x7ffffffeu, 0xffffffffu}) {
|
|
srand_nid_postfix(seed);
|
|
randomState = seed;
|
|
for (int step = 0; step < 8; ++step) Require(rand_r_nid_postfix(&randomState) == rand_nid_postfix());
|
|
}
|
|
bool threw = false;
|
|
try { rand_r_nid_postfix(nullptr); } catch (...) { threw = true; }
|
|
Require(threw);
|
|
Require(hypot_nid_postfix(3.0, 4.0) == 5.0 && hypot_nid_postfix(-3.0, -4.0) == 5.0 && hypotf_nid_postfix(3.f, -4.f) == 5.f);
|
|
Require(std::abs(hypot_nid_postfix(1e308, 1e308) / 1.4142135623730951e308 - 1.0) < 1e-15);
|
|
Require(std::abs(hypotf_nid_postfix(2e38f, 2e38f) / 2.8284271e38f - 1.f) < 1e-6f);
|
|
Require(std::isinf(hypot_nid_postfix(std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN())));
|
|
Require(std::isinf(hypotf_nid_postfix(std::numeric_limits<float>::quiet_NaN(), -std::numeric_limits<float>::infinity())));
|
|
Require(std::isnan(hypot_nid_postfix(1.0, std::numeric_limits<double>::quiet_NaN())));
|
|
for (const bool signalingFirst : {true, false}) {
|
|
const float signaling = std::bit_cast<float>(std::uint32_t{0x7f800001});
|
|
const float infinity = std::numeric_limits<float>::infinity();
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
const float result = signalingFirst ? hypotf_nid_postfix(signaling, infinity) : hypotf_nid_postfix(infinity, signaling);
|
|
Require(std::isinf(result) && result > 0.f && std::fetestexcept(FE_INVALID) != 0);
|
|
}
|
|
Require(log10f_nid_postfix(100.f) == 2.f);
|
|
Require(log1p_nid_postfix(0.) == 0. && std::signbit(log1p_nid_postfix(-0.)));
|
|
Require(log1p_nid_postfix(-1.) == -std::numeric_limits<double>::infinity() && std::isnan(log1p_nid_postfix(-2.)));
|
|
Require(log1p_nid_postfix(std::numeric_limits<double>::infinity()) == std::numeric_limits<double>::infinity());
|
|
Require(log1p_nid_postfix(1e-300) == 1e-300 && log1pf_nid_postfix(1e-30f) == 1e-30f);
|
|
Require(std::abs(log1p_nid_postfix(1.) - 0.6931471805599453) < 1e-16);
|
|
Require(std::abs(log1p_nid_postfix(1e-10) - 9.9999999995e-11) < 1e-25);
|
|
Require(std::abs(log1pf_nid_postfix(1.f) - 0.6931472f) < 1e-7f && std::isnan(log1pf_nid_postfix(-2.f)));
|
|
Require(expm1_nid_postfix(0.) == 0. && std::signbit(expm1_nid_postfix(-0.)));
|
|
Require(expm1_nid_postfix(1e-300) == 1e-300 && expm1_nid_postfix(-1000.) == -1.);
|
|
Require(expm1_nid_postfix(-std::numeric_limits<double>::infinity()) == -1.);
|
|
Require(std::abs(expm1_nid_postfix(1.) - 1.718281828459045) < 1e-15);
|
|
Require(std::abs(expm1_nid_postfix(1e-10) - 1.00000000005e-10) < 1e-25);
|
|
Require(logbf_nid_postfix(8.f) == 3.f && logbf_nid_postfix(-0.75f) == -1.f);
|
|
Require(logbf_nid_postfix(std::numeric_limits<float>::denorm_min()) == -149.f);
|
|
Require(logbf_nid_postfix(0.f) == -std::numeric_limits<float>::infinity());
|
|
Require(logbf_nid_postfix(-std::numeric_limits<float>::infinity()) == std::numeric_limits<float>::infinity());
|
|
Require(std::isnan(logbf_nid_postfix(std::numeric_limits<float>::quiet_NaN())));
|
|
Require(exp2_nid_postfix(-3.) == 0.125);
|
|
Require(ldexp_nid_postfix(0.75, 4) == 12.);
|
|
CheckSquareRoot();
|
|
CheckExactOperations();
|
|
CheckLongDouble();
|
|
Require(scalbn_nid_postfix(0.75, -2) == 0.1875);
|
|
Require(scalbnf_nid_postfix(0.75f, 4) == 12.f);
|
|
Require(nextafterf_nid_postfix(1.f, 2.f) == 0x1.000002p0f && nextafterf_nid_postfix(1.f, 0.f) == 0x1.fffffep-1f);
|
|
Require(nextafterf_nid_postfix(0.f, 1.f) == std::numeric_limits<float>::denorm_min());
|
|
Require(nextafterf_nid_postfix(0.f, -1.f) == -std::numeric_limits<float>::denorm_min());
|
|
Require(nextafterf_nid_postfix(std::numeric_limits<float>::denorm_min(), -1.f) == 0.f);
|
|
Require(nextafterf_nid_postfix(1.f, 1.f) == 1.f && !std::signbit(nextafterf_nid_postfix(-0.f, 0.f)));
|
|
Require(nextafterf_nid_postfix(std::numeric_limits<float>::max(), std::numeric_limits<float>::infinity()) == std::numeric_limits<float>::infinity());
|
|
Require(std::isnan(nextafterf_nid_postfix(std::numeric_limits<float>::quiet_NaN(), 1.f)) && std::isnan(nextafterf_nid_postfix(1.f, std::numeric_limits<float>::quiet_NaN())));
|
|
int exponent = 0;
|
|
Require(frexp_nid_postfix(12., &exponent) == 0.75 && exponent == 4);
|
|
Require(frexpf_nid_postfix(-12.f, &exponent) == -0.75f && exponent == 4);
|
|
Require(lround_nid_postfix(4294967296.5) == INT64_C(4294967297));
|
|
Require(lround_nid_postfix(-2.5) == -3);
|
|
Require(lroundf_nid_postfix(4294967296.f) == INT64_C(4294967296));
|
|
Require(lroundf_nid_postfix(2.5f) == 3);
|
|
Require(llround_nid_postfix(-4294967296.5) == -INT64_C(4294967297));
|
|
Require(llroundf_nid_postfix(2.5f) == 3 && llroundf_nid_postfix(-2.5f) == -3 && llroundf_nid_postfix(-0.4f) == 0);
|
|
Require(llroundf_nid_postfix(8589934592.f) == INT64_C(8589934592) && llroundf_nid_postfix(-0x1p62f) == -(INT64_C(1) << 62));
|
|
Require(llroundf_nid_postfix(0.49999997f) == 0 && llroundf_nid_postfix(16777215.f) == 16777215);
|
|
Require(lround_nid_postfix(0.49999999999999994) == 0 && lround_nid_postfix(-0.49999999999999994) == 0);
|
|
constexpr double kTwo63 = 9223372036854775808.0;
|
|
constexpr double kTwo63Below = 9223372036854774784.0;
|
|
constexpr float kTwo63f = 9223372036854775808.f;
|
|
constexpr float kTwo63fBelow = 9223371487098961920.f;
|
|
CheckDoubleRounding(-kTwo63, INT64_MIN, false);
|
|
CheckDoubleRounding(kTwo63Below, INT64_C(9223372036854774784), false);
|
|
CheckDoubleRounding(-kTwo63Below, -INT64_C(9223372036854774784), false);
|
|
CheckDoubleRounding(4503599627370497.0, INT64_C(4503599627370497), false);
|
|
CheckFloatRounding(-kTwo63f, INT64_MIN, false);
|
|
CheckFloatRounding(kTwo63fBelow, INT64_C(9223371487098961920), false);
|
|
CheckFloatRounding(-kTwo63fBelow, -INT64_C(9223371487098961920), false);
|
|
for (const double value : {kTwo63, -9223374235878031360.0, 1e30, -1e30, std::numeric_limits<double>::infinity(), -std::numeric_limits<double>::infinity(), std::numeric_limits<double>::quiet_NaN()}) {
|
|
CheckDoubleRounding(value, INT64_MIN, true);
|
|
CheckFloatRounding(static_cast<float>(value), INT64_MIN, true);
|
|
}
|
|
CheckFloatRounding(kTwo63f, INT64_MIN, true);
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
const auto infinity = std::numeric_limits<float>::infinity();
|
|
const auto nan = std::numeric_limits<float>::quiet_NaN();
|
|
Require(__isinff_nid_postfix(infinity) == 1 && __isinff_nid_postfix(-infinity) == 1);
|
|
Require(__isinff_nid_postfix(nan) == 0 && __isinff_nid_postfix(1.f) == 0);
|
|
Require(__isinf_nid_postfix(std::numeric_limits<double>::infinity()) == 1 && __isinf_nid_postfix(-std::numeric_limits<double>::infinity()) == 1);
|
|
Require(__isinf_nid_postfix(std::numeric_limits<double>::quiet_NaN()) == 0 && __isinf_nid_postfix(std::numeric_limits<double>::max()) == 0);
|
|
Require(__isinf_nid_postfix(0.) == 0 && __isinf_nid_postfix(1e308 * 10) == 1);
|
|
Require(__isfinitef_nid_postfix(0.f) == 1 && __isfinitef_nid_postfix(infinity) == 0);
|
|
Require(__isfinitef_nid_postfix(nan) == 0);
|
|
Require(__isnormalf_nid_postfix(1.f) == 1 && __isnormalf_nid_postfix(0.f) == 0);
|
|
Require(__isnormalf_nid_postfix(std::numeric_limits<float>::denorm_min()) == 0);
|
|
Require(__isnormal_nid_postfix(1.) == 1 && __isnormal_nid_postfix(0.) == 0);
|
|
Require(__isnormal_nid_postfix(std::numeric_limits<double>::denorm_min()) == 0);
|
|
const auto quotient = div_nid_postfix(7, 2);
|
|
Require(quotient.quot == 3 && quotient.rem == 1);
|
|
const auto negativeNumerator = div_nid_postfix(-7, 2);
|
|
Require(negativeNumerator.quot == -3 && negativeNumerator.rem == -1);
|
|
const auto negativeDenominator = div_nid_postfix(7, -2);
|
|
Require(negativeDenominator.quot == -3 && negativeDenominator.rem == 1);
|
|
const auto minimum = div_nid_postfix(std::numeric_limits<int>::min(), 10);
|
|
Require(minimum.quot == -214748364 && minimum.rem == -8);
|
|
Require(abs_nid_postfix(0) == 0);
|
|
Require(abs_nid_postfix(42) == 42);
|
|
Require(abs_nid_postfix(-42) == 42);
|
|
Require(abs_nid_postfix(std::numeric_limits<int>::max()) == std::numeric_limits<int>::max());
|
|
Require(abs_nid_postfix(std::numeric_limits<int>::min()) == std::numeric_limits<int>::min());
|
|
CheckHyperbolic();
|
|
CheckHypotSpecialValue();
|
|
CheckFmodErrno();
|
|
}
|