Files
AnyPS5/core/libs/tests/GuestMath.cpp
T
hypermistandClaude Opus 5.5 8e46144d48 fix(libc): follow the console for integer bases and 0x prefixes
- strtol, strtoul, strtoll, strtoull and strtouq return 0 for a base
  outside 0 and 2 to 36, leave the end at the start and set EINVAL;
  strtoimax, strtoumax, _Stoull, _Stoul and the wide forms do the same
  without errno.
- A 0x prefix with no hexadecimal digit after it (base 0 or 16) is no
  conversion: the end stays at the start of the string.
- wcstol, wcstoll and wcstoimax take one sign, convert the rest with
  wcstoull and clamp to the signed range with ERANGE, so "- 1" is -1
  and "+\t-1" overflows.
- atoi, atol and atoll truncate strtoull's result.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01RbLgECLQ2bpDM7oe2urGZK
2026-10-21 16:05:00 +13:00

1592 lines
94 KiB
C++

#include "prx/libc/include/general/VabiMacros.hpp"
#include <bit>
#include <cerrno>
#include <cfenv>
#include <cfloat>
#include <climits>
#include <cmath>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <limits>
#include <initializer_list>
#include <xmmintrin.h>
struct GuestFloatingPointEnvironment {
std::uint32_t control;
std::uint32_t status;
std::uint32_t tag;
unsigned char other[16];
std::uint32_t mxcsr;
};
static_assert(sizeof(GuestFloatingPointEnvironment) == 32);
extern "C" {
int APS5_VABI fegetenv_nid_postfix(GuestFloatingPointEnvironment*);
double APS5_VABI atof_nid_postfix(const char*);
double APS5_VABI strtod_nid_postfix(const char*, char**);
double APS5_VABI wcstod_nid_postfix(const char16_t*, char16_t**);
float APS5_VABI wcstof_nid_postfix(const char16_t*, char16_t**);
long double APS5_VABI wcstold_nid_postfix(const char16_t*, char16_t**);
float APS5_VABI strtof_nid_postfix(const char*, char**);
long double APS5_VABI strtold_nid_postfix(const char*, char**);
std::int64_t APS5_VABI strtol_nid_postfix(const char*, char**, int);
std::uint64_t APS5_VABI strtoul_nid_postfix(const char*, char**, int);
std::intmax_t APS5_VABI strtoimax_nid_postfix(const char*, char**, int);
long long APS5_VABI strtoll_nid_postfix(const char*, char**, int);
unsigned long long APS5_VABI strtoull_nid_postfix(const char*, char**, int);
std::uintmax_t APS5_VABI strtoumax_nid_postfix(const char*, char**, int);
unsigned long long APS5_VABI _Stoull_nid_postfix(const char*, char**, int);
std::uint64_t APS5_VABI _Stoul_nid_postfix(const char*, char**, int);
int APS5_VABI atoi_nid_postfix(const char*);
std::int64_t APS5_VABI atol_nid_postfix(const char*);
long long APS5_VABI atoll_nid_postfix(const char*);
int* APS5_VABI __error_nid_postfix();
double APS5_VABI sqrt_nid_postfix(double);
float APS5_VABI sqrtf_nid_postfix(float);
double APS5_VABI fabs_nid_postfix(double);
int APS5_VABI abs_nid_postfix(int);
double APS5_VABI trunc_nid_postfix(double);
double APS5_VABI ceil_nid_postfix(double);
double APS5_VABI floor_nid_postfix(double);
float APS5_VABI truncf_nid_postfix(float);
float APS5_VABI ceilf_nid_postfix(float);
float APS5_VABI floorf_nid_postfix(float);
double APS5_VABI nearbyint_nid_postfix(double);
double APS5_VABI fma_nid_postfix(double, double, double);
long double APS5_VABI acosl_nid_postfix(long double);
long double APS5_VABI asinl_nid_postfix(long double);
long double APS5_VABI frexpl_nid_postfix(long double, int*);
struct LibcFloatConstant { std::uint32_t bits[4]; };
extern LibcFloatConstant _FInf_nid_postfix;
extern LibcFloatConstant _FNan_nid_postfix;
extern LibcFloatConstant _FDenorm_nid_postfix;
extern LibcFloatConstant _FSnan_nid_postfix;
union SonyDconst { unsigned short _Word[8]; float _Float; double _Double; long double _Long_double; };
extern SonyDconst _Inf_nid_postfix;
extern SonyDconst _Denorm_nid_postfix;
extern SonyDconst _Hugeval_nid_postfix;
extern SonyDconst _Nan_nid_postfix;
extern SonyDconst _Snan_nid_postfix;
extern SonyDconst _LDenorm_nid_postfix;
extern SonyDconst _LInf_nid_postfix;
extern SonyDconst _LNan_nid_postfix;
extern SonyDconst _LSnan_nid_postfix;
short APS5_VABI _FDtest_nid_postfix(const float*);
short APS5_VABI _Dtest_nid_postfix(const double*);
int APS5_VABI __fpclassifyf_nid_postfix(float);
int APS5_VABI isnanf_nid_postfix(float);
int APS5_VABI __signbitl_nid_postfix(long double);
float APS5_VABI fmodf_nid_postfix(float, float);
double APS5_VABI fmod_nid_postfix(double, double);
float APS5_VABI asinf_nid_postfix(float);
float APS5_VABI acosf_nid_postfix(float);
double APS5_VABI asin_nid_postfix(double);
float APS5_VABI atan2f_nid_postfix(float, float);
float APS5_VABI hypotf_nid_postfix(float, float);
double APS5_VABI hypot_nid_postfix(double, double);
double APS5_VABI fdim_nid_postfix(double, double);
float APS5_VABI fdimf_nid_postfix(float, float);
float APS5_VABI fabsf_nid_postfix(float);
long double APS5_VABI fabsl_nid_postfix(long double);
double APS5_VABI copysign_nid_postfix(double, double);
float APS5_VABI copysignf_nid_postfix(float, float);
double APS5_VABI remquo_nid_postfix(double, double, int*);
float APS5_VABI remquof_nid_postfix(float, float, int*);
float APS5_VABI fmaf_nid_postfix(float, float, float);
long double APS5_VABI ceill_nid_postfix(long double);
long double APS5_VABI floorl_nid_postfix(long double);
float APS5_VABI tanf_nid_postfix(float);
int APS5_VABI rand_nid_postfix();
void APS5_VABI srand_nid_postfix(unsigned int);
int APS5_VABI rand_r_nid_postfix(unsigned int*);
float APS5_VABI log10f_nid_postfix(float);
float APS5_VABI powf_nid_postfix(float, float);
double APS5_VABI log1p_nid_postfix(double);
float APS5_VABI log1pf_nid_postfix(float);
double APS5_VABI expm1_nid_postfix(double);
float APS5_VABI expm1f_nid_postfix(float);
float APS5_VABI erff_nid_postfix(float);
double APS5_VABI erf_nid_postfix(double);
double APS5_VABI erfc_nid_postfix(double);
float APS5_VABI erfcf_nid_postfix(float);
double APS5_VABI lgamma_nid_postfix(double);
extern int signgam_nid_postfix;
float APS5_VABI logbf_nid_postfix(float);
int APS5_VABI ilogb_nid_postfix(double);
int APS5_VABI ilogbf_nid_postfix(float);
double APS5_VABI exp2_nid_postfix(double);
float APS5_VABI __powisf2_nid_postfix(float, int);
double APS5_VABI __powidf2_nid_postfix(double, int);
double APS5_VABI ldexp_nid_postfix(double, int);
double APS5_VABI scalbn_nid_postfix(double, int);
float APS5_VABI scalbnf_nid_postfix(float, int);
float APS5_VABI nextafterf_nid_postfix(float, float);
double APS5_VABI nextafter_nid_postfix(double, double);
double APS5_VABI frexp_nid_postfix(double, int*);
float APS5_VABI frexpf_nid_postfix(float, int*);
std::int64_t APS5_VABI lround_nid_postfix(double);
std::div_t APS5_VABI div_nid_postfix(int, int);
double APS5_VABI sinh_nid_postfix(double);
double APS5_VABI cosh_nid_postfix(double);
float APS5_VABI coshf_nid_postfix(float);
float APS5_VABI sinhf_nid_postfix(float);
float APS5_VABI _FSinh_nid_postfix(float, float);
float APS5_VABI _FCosh_nid_postfix(float, float);
double APS5_VABI asinh_nid_postfix(double);
float APS5_VABI asinhf_nid_postfix(float);
double APS5_VABI acosh_nid_postfix(double);
float APS5_VABI acoshf_nid_postfix(float);
double APS5_VABI atanh_nid_postfix(double);
float APS5_VABI atanhf_nid_postfix(float);
std::int64_t APS5_VABI lroundf_nid_postfix(float);
std::int64_t APS5_VABI llround_nid_postfix(double);
std::int64_t APS5_VABI llroundf_nid_postfix(float);
std::int64_t APS5_VABI llroundl_nid_postfix(long double);
int APS5_VABI __isfinitef_nid_postfix(float);
int APS5_VABI __isfinitel_nid_postfix(long double);
int APS5_VABI __isnormal_nid_postfix(double);
int APS5_VABI __isnormalf_nid_postfix(float);
int APS5_VABI __isinff_nid_postfix(float);
int APS5_VABI __isinf_nid_postfix(double);
int APS5_VABI isnan_nid_postfix(double);
int APS5_VABI isinf_nid_postfix(double);
std::lldiv_t APS5_VABI lldiv_nid_postfix(long long, long long);
std::lldiv_t APS5_VABI imaxdiv_nid_postfix(std::int64_t, std::int64_t);
std::int64_t APS5_VABI labs_nid_postfix(std::int64_t);
std::int64_t APS5_VABI llabs_nid_postfix(std::int64_t);
std::int64_t APS5_VABI imaxabs_nid_postfix(std::int64_t);
long double APS5_VABI scalbnl_nid_postfix(long double, int);
float APS5_VABI significandf_nid_postfix(float);
double APS5_VABI significand_nid_postfix(double);
long double APS5_VABI acoshl_nid_postfix(long double);
long double APS5_VABI asinhl_nid_postfix(long double);
long double APS5_VABI atanhl_nid_postfix(long double);
long double APS5_VABI atan2l_nid_postfix(long double, long double);
long double APS5_VABI cbrtl_nid_postfix(long double);
long double APS5_VABI erfl_nid_postfix(long double);
long double APS5_VABI erfcl_nid_postfix(long double);
long double APS5_VABI expm1l_nid_postfix(long double);
long double APS5_VABI log1pl_nid_postfix(long double);
long double APS5_VABI log2l_nid_postfix(long double);
long double APS5_VABI lgammal_nid_postfix(long double);
long double APS5_VABI tgammal_nid_postfix(long double);
float APS5_VABI tgammaf_nid_postfix(float);
long double APS5_VABI hypotl_nid_postfix(long double, long double);
float APS5_VABI hypot3f_nid_postfix(float, float, float);
double APS5_VABI hypot3_nid_postfix(double, double, double);
long double APS5_VABI hypot3l_nid_postfix(long double, long double, long double);
float APS5_VABI j0f_nid_postfix(float);
float APS5_VABI j1f_nid_postfix(float);
float APS5_VABI jnf_nid_postfix(int, float);
float APS5_VABI y0f_nid_postfix(float);
float APS5_VABI y1f_nid_postfix(float);
float APS5_VABI ynf_nid_postfix(int, float);
std::lldiv_t APS5_VABI ldiv_nid_postfix(std::int64_t, std::int64_t);
float APS5_VABI nanf_nid_postfix(const char*);
double APS5_VABI nan_nid_postfix(const char*);
long double APS5_VABI atanl_nid_postfix(long double);
long double APS5_VABI sinl_nid_postfix(long double);
long double APS5_VABI cosl_nid_postfix(long double);
long double APS5_VABI tanl_nid_postfix(long double);
long double APS5_VABI sinhl_nid_postfix(long double);
long double APS5_VABI coshl_nid_postfix(long double);
long double APS5_VABI tanhl_nid_postfix(long double);
long double APS5_VABI expl_nid_postfix(long double);
long double APS5_VABI exp2l_nid_postfix(long double);
long double APS5_VABI logl_nid_postfix(long double);
long double APS5_VABI log10l_nid_postfix(long double);
long double APS5_VABI powl_nid_postfix(long double, long double);
long double APS5_VABI ldexpl_nid_postfix(long double, int);
long double APS5_VABI truncl_nid_postfix(long double);
long double APS5_VABI nearbyintl_nid_postfix(long double);
double APS5_VABI logb_nid_postfix(double);
double APS5_VABI remainder_nid_postfix(double, double);
struct DinkumwareFloatCharacteristics {
int digits;
int mantissaDigits;
int maxExponent10;
int maxExponent;
int minExponent10;
int minExponent;
alignas(16) unsigned char epsilon[16];
alignas(16) unsigned char max[16];
alignas(16) unsigned char min[16];
};
extern DinkumwareFloatCharacteristics _Flt_nid_postfix;
extern DinkumwareFloatCharacteristics _Dbl_nid_postfix;
extern DinkumwareFloatCharacteristics _Ldbl_nid_postfix;
}
static void Require(bool value) { if (!value) std::abort(); }
static void CheckSquareRoot() {
Require(sqrt_nid_postfix(4.) == 2. && sqrtf_nid_postfix(6.25f) == 2.5f);
Require(std::bit_cast<std::uint64_t>(sqrt_nid_postfix(2.)) == 0x3ff6a09e667f3bcdull);
Require(std::bit_cast<std::uint32_t>(sqrtf_nid_postfix(2.f)) == 0x3fb504f3u);
Require(std::bit_cast<std::uint64_t>(sqrt_nid_postfix(0x1p-1074)) == 0x1e60000000000000ull);
Require(std::bit_cast<std::uint64_t>(sqrt_nid_postfix(-0.)) == 0x8000000000000000ull);
Require(std::bit_cast<std::uint32_t>(sqrtf_nid_postfix(-0.f)) == 0x80000000u);
Require(sqrt_nid_postfix(INFINITY) == INFINITY && sqrtf_nid_postfix(INFINITY) == INFINITY);
Require(std::isnan(sqrt_nid_postfix(-1.)) && std::isnan(sqrtf_nid_postfix(-1.f)));
}
static void CheckExactOperations() {
const double nan = std::numeric_limits<double>::quiet_NaN();
Require(fabs_nid_postfix(-3.5) == 3.5 && fabs_nid_postfix(-INFINITY) == INFINITY);
Require(std::bit_cast<std::uint64_t>(fabs_nid_postfix(-0.)) == 0);
Require(std::isnan(fabs_nid_postfix(-nan)) && !std::signbit(fabs_nid_postfix(-nan)));
Require(fabsf_nid_postfix(-3.5f) == 3.5f && fabsf_nid_postfix(-INFINITY) == INFINITY);
Require(std::bit_cast<std::uint32_t>(fabsf_nid_postfix(-0.f)) == 0);
Require(std::isnan(fabsf_nid_postfix(-static_cast<float>(nan))) && !std::signbit(fabsf_nid_postfix(-static_cast<float>(nan))));
Require(fabsl_nid_postfix(-3.5L) == 3.5L && fabsl_nid_postfix(-INFINITY) == INFINITY);
Require(std::isnan(fabsl_nid_postfix(-static_cast<long double>(nan))) && !std::signbit(fabsl_nid_postfix(-static_cast<long double>(nan))));
Require(trunc_nid_postfix(2.7) == 2. && trunc_nid_postfix(-2.7) == -2.);
Require(std::bit_cast<std::uint64_t>(trunc_nid_postfix(-0.5)) == 0x8000000000000000ull);
Require(trunc_nid_postfix(4503599627370497.) == 4503599627370497. && trunc_nid_postfix(-1e300) == -1e300);
Require(trunc_nid_postfix(-INFINITY) == -INFINITY && std::isnan(trunc_nid_postfix(nan)));
Require(ceil_nid_postfix(2.2) == 3. && ceil_nid_postfix(-2.7) == -2. && ceil_nid_postfix(5.) == 5.);
Require(std::bit_cast<std::uint64_t>(ceil_nid_postfix(-0.5)) == 0x8000000000000000ull);
Require(std::bit_cast<std::uint64_t>(ceil_nid_postfix(-0.)) == 0x8000000000000000ull && ceil_nid_postfix(0x1p-1074) == 1.);
Require(ceil_nid_postfix(4503599627370495.5) == 4503599627370496. && ceil_nid_postfix(-1e300) == -1e300);
Require(ceil_nid_postfix(INFINITY) == INFINITY && ceil_nid_postfix(-INFINITY) == -INFINITY && std::isnan(ceil_nid_postfix(nan)));
Require(std::fesetround(FE_DOWNWARD) == 0);
const bool ceilIgnoresRounding = ceil_nid_postfix(2.2) == 3. && ceil_nid_postfix(-2.7) == -2.;
Require(std::fesetround(FE_TONEAREST) == 0 && ceilIgnoresRounding);
Require(floor_nid_postfix(2.7) == 2. && floor_nid_postfix(-2.2) == -3. && floor_nid_postfix(5.) == 5.);
Require(std::bit_cast<std::uint64_t>(floor_nid_postfix(-0.5)) == 0xbff0000000000000ull);
Require(std::bit_cast<std::uint64_t>(floor_nid_postfix(-0.)) == 0x8000000000000000ull && floor_nid_postfix(-0x1p-1074) == -1.);
Require(std::bit_cast<std::uint64_t>(floor_nid_postfix(0.5)) == 0);
Require(floor_nid_postfix(4503599627370495.5) == 4503599627370495. && floor_nid_postfix(-1e300) == -1e300);
Require(floor_nid_postfix(INFINITY) == INFINITY && floor_nid_postfix(-INFINITY) == -INFINITY && std::isnan(floor_nid_postfix(nan)));
Require(std::fesetround(FE_UPWARD) == 0);
const bool floorIgnoresRounding = floor_nid_postfix(2.7) == 2. && floor_nid_postfix(-2.2) == -3.;
Require(std::fesetround(FE_TONEAREST) == 0 && floorIgnoresRounding);
Require(fma_nid_postfix(2., 3., 4.) == 10.);
volatile double tenth = 0.1;
Require(fma_nid_postfix(tenth, 10., -1.) == 0x1p-54);
Require(fma_nid_postfix(0x1p1023, 2., -0x1p1023) == 0x1p1023);
Require(std::isnan(fma_nid_postfix(INFINITY, 0., 1.)));
Require(fdim_nid_postfix(4.0, 1.0) == 3.0 && fdim_nid_postfix(1.0, 4.0) == 0.0);
Require(fdim_nid_postfix(4.0, 4.0) == 0.0 && !std::signbit(fdim_nid_postfix(1.0, 4.0)));
Require(std::isnan(fdim_nid_postfix(std::numeric_limits<double>::quiet_NaN(), 1.0)));
Require(std::isnan(fdim_nid_postfix(1.0, std::numeric_limits<double>::quiet_NaN())));
Require(fdimf_nid_postfix(4.0f, 1.0f) == 3.0f && fdimf_nid_postfix(1.0f, 4.0f) == 0.0f);
Require(fdimf_nid_postfix(4.0f, 4.0f) == 0.0f && !std::signbit(fdimf_nid_postfix(1.0f, 4.0f)));
Require(std::isnan(fdimf_nid_postfix(std::numeric_limits<float>::quiet_NaN(), 1.0f)));
Require(fmaf_nid_postfix(2.f, 3.f, 4.f) == 10.f);
volatile float tenthFloat = 0.1f;
Require(fmaf_nid_postfix(tenthFloat, 10.f, -1.f) != 0.f);
Require(std::isnan(fmaf_nid_postfix(INFINITY, 0.f, 1.f)));
}
static void CheckNearbyint() {
std::feclearexcept(FE_ALL_EXCEPT);
const double zero = nearbyint_nid_postfix(0.5);
Require(zero == 0.0 && !std::signbit(zero));
Require(nearbyint_nid_postfix(1.5) == 2.0 && nearbyint_nid_postfix(2.5) == 2.0);
Require(nearbyint_nid_postfix(2.7) == 3.0 && nearbyint_nid_postfix(-2.7) == -3.0);
Require(std::bit_cast<std::uint64_t>(nearbyint_nid_postfix(-0.5)) == 0x8000000000000000ull);
Require(nearbyint_nid_postfix(0x1p53) == 0x1p53);
Require(nearbyint_nid_postfix(INFINITY) == INFINITY && nearbyint_nid_postfix(-INFINITY) == -INFINITY);
Require(std::isnan(nearbyint_nid_postfix(NAN)));
Require(std::fetestexcept(FE_INEXACT) == 0);
}
static std::uint16_t X87ControlWord() {
std::uint16_t control;
asm volatile("fnstcw %0" : "=m"(control));
return control;
}
static std::uint16_t X87StatusWord() {
std::uint16_t status;
asm volatile("fnstsw %0" : "=m"(status));
return status;
}
static void CheckFegetenv() {
const std::uint16_t savedControl = X87ControlWord();
const unsigned savedCsr = _mm_getcsr();
const std::uint16_t control = 0x0f7e;
const unsigned csr = 0x7fa0;
asm volatile("fnclex");
asm volatile("fldcw %0" : : "m"(control));
_mm_setcsr(csr);
volatile long double zero = 0.0L;
volatile long double quotient = 1.0L / zero;
(void)quotient;
const std::uint16_t status = X87StatusWord();
Require((status & 0x04) != 0 && (status & 0x01) == 0);
GuestFloatingPointEnvironment environment;
std::memset(&environment, 0xcc, sizeof(environment));
Require(fegetenv_nid_postfix(&environment) == 0);
const std::uint16_t controlAfter = X87ControlWord();
const unsigned csrAfter = _mm_getcsr();
asm volatile("fnclex");
asm volatile("fldcw %0" : : "m"(savedControl));
_mm_setcsr(savedCsr);
Require((environment.control & 0xffff) == control);
Require((environment.status & 0xffff) == status);
Require(environment.mxcsr == csr);
Require(controlAfter == control);
Require(csrAfter == csr);
bool threw = false;
try { fegetenv_nid_postfix(nullptr); } catch (...) { threw = true; }
Require(threw);
}
static bool ExtendedBits(long double value, std::uint64_t mantissa, std::uint16_t signExponent) {
unsigned char bytes[sizeof(long double)]{};
std::memcpy(bytes, &value, sizeof(value));
std::uint64_t actualMantissa = 0;
std::uint16_t actualSignExponent = 0;
std::memcpy(&actualMantissa, bytes, 8);
std::memcpy(&actualSignExponent, bytes + 8, 2);
return actualMantissa == mantissa && actualSignExponent == signExponent;
}
static void CheckNanConversions() {
struct MeasuredNan {
const char* text;
std::uint64_t bits;
std::size_t used;
std::size_t sequenceUsed;
bool extendedMeasured;
bool wideDoubleMeasured;
bool wideOtherMeasured;
};
static constexpr MeasuredNan cases[] = {
{"nan", 0x7ff8000000000000ull, 3, 3, true, true, true},
{"NAN", 0x7ff8000000000000ull, 3, 3, false, false, false},
{"nan()", 0x7ff8000000000000ull, 5, 5, false, false, false},
{"nan(1)", 0x7ff8000000000001ull, 6, 6, true, true, true},
{"nan(0x10)", 0x7ff8000000000010ull, 9, 9, false, false, false},
{"nan(abc)", 0x7ff8000000000abcull, 8, 8, false, false, false},
{"nan(", 0x7ff8000000000000ull, 3, 3, true, true, true},
{"-nan", 0xfff8000000000000ull, 4, 4, true, true, true},
{"+nan(5)", 0x7ff8000000000005ull, 7, 7, false, false, false},
{"nan(10)", 0x7ff8000000000010ull, 7, 7, false, false, false},
{"nan(xyz)", 0x7ff8000000000000ull, 8, 8, false, false, false},
{"nan(_)", 0x7ff8000000000000ull, 6, 6, false, false, false},
{"nan(12", 0x7ff8000000000012ull, 3, 3, false, false, false},
{"-nan(5)", 0xfff8000000000005ull, 7, 7, false, false, false},
{"nan(0x8000000000000)", 0x7ff8000000000000ull, 20, 20, false, false, false},
{"nan(0x10000000000000)", 0x7ff8000000000001ull, 21, 21, true, true, false},
{"nan(0x400000)", 0x7ff8000000400000ull, 13, 13, false, false, false},
{"NaN(0X1F)", 0x7ff800000000001full, 9, 9, false, false, false},
{"nan(0x)", 0x7ff8000000000000ull, 7, 7, false, false, false},
{"nan(123abc)", 0x7ff8000000123abcull, 11, 11, true, true, false},
{"nan(1x2)", 0x7ff8000000000000ull, 8, 8, true, true, false},
{"nan(0x1g)", 0x7ff8000000000000ull, 9, 9, true, true, false},
{"nan(g1)", 0x7ff8000000000000ull, 7, 7, true, true, false},
{"nan(0x0x1)", 0x7ff8000000000000ull, 10, 10, true, true, false},
{"nan(fffffffffffff)", 0x7fffffffffffffffull, 18, 18, true, true, false},
{"nan(1fffffffffffff)", 0x7fffffffffffffffull, 19, 19, true, true, false},
{"nan(10000000000000)", 0x7ff8000000000001ull, 19, 19, true, true, false},
{"nan(20000000000000)", 0x7ff8000000000001ull, 19, 19, true, true, false},
{"nan(0x20000000000000)", 0x7ff8000000000001ull, 21, 21, true, true, false},
{"nan(ffffffffffffffff)", 0x7fffffffffffffffull, 21, 21, true, true, false},
{"nan(10000000000000000)", 0x7ff8000000000001ull, 22, 22, true, true, false},
{"nan(0X)", 0x7ff8000000000000ull, 7, 7, true, true, false},
{"nan(-1)", 0x7ff8000000000000ull, 7, 3, true, true, false},
{"nan(+1)", 0x7ff8000000000000ull, 7, 3, true, true, false},
{"nan( 1)", 0x7ff8000000000001ull, 7, 3, true, true, false},
{"nan(1 )", 0x7ff8000100000000ull, 7, 3, true, true, false},
{"nan(0)", 0x7ff8000000000001ull, 6, 6, true, true, false},
{"nan(00001)", 0x7ff8000000000001ull, 10, 10, true, true, false},
{"nan(0x0001)", 0x7ff8000000000001ull, 11, 11, true, true, false},
{"nan(8000000000000)", 0x7ff8000000000000ull, 18, 18, true, true, false},
{"nan(7ffffffffffff)", 0x7fffffffffffffffull, 18, 18, true, true, false},
{"nan(123", 0x7ff8000000000123ull, 3, 3, true, true, false},
{"nan(1)x", 0x7ff8000000000001ull, 6, 6, true, true, false},
{"-nan(1)", 0xfff8000000000001ull, 7, 7, true, true, false},
{"nan(abcdefABCDEF)", 0x7ff8abcdefabcdefull, 17, 17, true, true, false},
{"nan(0xABCDEF)", 0x7ff8000000abcdefull, 13, 13, true, true, false},
{"nan(9)", 0x7ff8000000000009ull, 6, 6, true, true, false},
{"nan(1_2)", 0x7ff8000000000000ull, 8, 8, true, true, false},
{"nan(_1)", 0x7ff8000000000000ull, 7, 7, true, true, false},
{"nan(1)(2)", 0x7ff8000000000001ull, 6, 6, true, true, false},
{"+nan", 0x7ff8000000000000ull, 4, 4, true, true, true},
{"NaN", 0x7ff8000000000000ull, 3, 3, true, true, true},
{"-NAN(5)", 0xfff8000000000005ull, 7, 7, true, true, true},
{"nan(5)", 0x7ff8000000000005ull, 6, 6, true, true, true},
{"-nan(abc)", 0xfff8000000000abcull, 9, 9, true, true, true},
{" -nan", 0xfff8000000000000ull, 6, 6, true, true, true},
{"nan(12 x", 0x7ff8000000000000ull, 3, 3, true, true, true},
{"nan(12x", 0x7ff8000000000000ull, 3, 3, true, true, true},
{"nan(1", 0x7ff8000000000001ull, 3, 3, true, true, true},
{"nan(a b)", 0x7ff8000a0000000bull, 8, 3, true, true, true},
{"nan(ab)", 0x7ff80000000000abull, 7, 7, true, true, true},
{"nanx", 0x7ff8000000000000ull, 3, 3, true, true, true},
{"-nan()", 0xfff8000000000000ull, 6, 6, true, true, true},
{"nan(0x8000000000001)", 0x7ff8000000000001ull, 20, 20, true, true, true},
};
bool correct = true;
for (const auto& test : cases) {
char* end = nullptr;
const auto value = std::bit_cast<std::uint64_t>(strtod_nid_postfix(test.text, &end));
if (value != test.bits || end != test.text + test.used) {
std::fprintf(stderr, "strtod(\"%s\") = 0x%016llx\n", test.text, static_cast<unsigned long long>(value));
correct = false;
}
if (std::bit_cast<std::uint64_t>(atof_nid_postfix(test.text)) != test.bits) {
std::fprintf(stderr, "atof(\"%s\")\n", test.text);
correct = false;
}
const auto single = std::bit_cast<std::uint32_t>(strtof_nid_postfix(test.text, &end));
if (single != 0x7fc00000u || end != test.text + test.sequenceUsed) {
std::fprintf(stderr, "strtof(\"%s\") = 0x%08x\n", test.text, static_cast<unsigned>(single));
correct = false;
}
if (test.extendedMeasured) {
const long double extended = strtold_nid_postfix(test.text, &end);
if (!ExtendedBits(extended, 0xc000000000000000ull, 0x7fff) || end != test.text + test.sequenceUsed) {
std::fprintf(stderr, "strtold(\"%s\")\n", test.text);
correct = false;
}
}
char16_t wide[64] = {};
for (std::size_t i = 0; test.text[i] != 0; ++i) wide[i] = static_cast<unsigned char>(test.text[i]);
char16_t* wideEnd = nullptr;
if (test.wideDoubleMeasured) {
const auto wideValue = std::bit_cast<std::uint64_t>(wcstod_nid_postfix(wide, &wideEnd));
if (wideValue != test.bits || wideEnd != wide + test.used) {
std::fprintf(stderr, "wcstod(\"%s\") = 0x%016llx\n", test.text, static_cast<unsigned long long>(wideValue));
correct = false;
}
}
if (test.wideOtherMeasured) {
const auto wideSingle = std::bit_cast<std::uint32_t>(wcstof_nid_postfix(wide, &wideEnd));
const bool singleOk = wideSingle == 0x7fc00000u && wideEnd == wide + test.sequenceUsed;
const long double wideExtended = wcstold_nid_postfix(wide, &wideEnd);
if (!singleOk || !ExtendedBits(wideExtended, 0xc000000000000000ull, 0x7fff) || wideEnd != wide + test.sequenceUsed) {
std::fprintf(stderr, "wcstof/wcstold(\"%s\")\n", test.text);
correct = false;
}
}
}
Require(correct);
for (const char* text : {"nan(1 ", "nan(12 \t"}) {
bool threw = false;
try { strtod_nid_postfix(text, nullptr); } catch (...) { threw = true; }
Require(threw);
}
struct PlainNan { const char* text; std::uint64_t bits; std::size_t used; };
for (const PlainNan& plain : {PlainNan{"nan(1 2)", 0x7ff8000100000002ull, 8}, PlainNan{"nan( \0)", 0x7ff8000000000000ull, 3}}) {
char* end = nullptr;
Require(std::bit_cast<std::uint64_t>(strtod_nid_postfix(plain.text, &end)) == plain.bits && end == plain.text + plain.used);
}
}
static void CheckFloatUnderflowErrno() {
char* end = nullptr;
errno = 7;
Require(strtod_nid_postfix("1e-310", &end) == 1e-310 && errno == 7);
Require(strtod_nid_postfix("-4.9406564584124654e-324", &end) == -0x1p-1074 && errno == 7);
Require(strtof_nid_postfix("1e-40", &end) == 1e-40f && errno == 7);
Require(strtold_nid_postfix("1e-4940", &end) == 1e-4940L && errno == 7);
Require(strtod_nid_postfix("1e-330", &end) == 0.0 && errno == ERANGE);
errno = 0;
Require(strtof_nid_postfix("1e-46", &end) == 0.0f && errno == ERANGE);
errno = 0;
Require(strtod_nid_postfix("1e400", &end) == HUGE_VAL && errno == ERANGE);
errno = 0;
Require(strtod_nid_postfix("2.2250738585072014e-308", &end) == 0x1p-1022 && errno == 0);
}
static void CheckHypotSpecialValue() {
Require(std::bit_cast<std::uint64_t>(hypot_nid_postfix(INFINITY, std::bit_cast<double>(0x7ff0000000000001ull))) == 0x7ff0000000000000ull);
Require(std::bit_cast<std::uint64_t>(hypot_nid_postfix(std::bit_cast<double>(0x7ff0000000000001ull), INFINITY)) == 0x7ff0000000000000ull);
Require(std::bit_cast<std::uint64_t>(hypot_nid_postfix(-INFINITY, std::bit_cast<double>(0x7ff0000000000001ull))) == 0x7ff0000000000000ull);
Require(std::bit_cast<std::uint64_t>(hypot_nid_postfix(std::bit_cast<double>(0x7ff0000000000001ull), -INFINITY)) == 0x7ff0000000000000ull);
}
static void CheckAsinfErrno() {
errno = 0;
(void)asinf_nid_postfix(2.0f);
Require(errno == 0);
}
static void CheckExp2Errno() {
errno = 0;
std::feclearexcept(FE_ALL_EXCEPT);
double result = exp2_nid_postfix(1024.0);
Require(errno == 0);
Require(std::isinf(result) && result > 0);
Require(std::fetestexcept(FE_OVERFLOW | FE_INEXACT) == (FE_OVERFLOW | FE_INEXACT));
}
static void CheckPowfSpecialValue() {
Require(std::bit_cast<std::uint32_t>(powf_nid_postfix(1.0f, std::bit_cast<float>(0x7f800001u))) == 0x3f800000u);
}
static void CheckAcosfErrno() {
errno = 0;
Require(std::bit_cast<std::uint32_t>(acosf_nid_postfix(2.0f)) == 0xffc00000u);
Require(errno == 0);
Require(std::bit_cast<std::uint32_t>(acosf_nid_postfix(-2.0f)) == 0xffc00000u);
Require(errno == 0);
Require(std::bit_cast<std::uint32_t>(acosf_nid_postfix(0.5f)) == 0x3f860a92u);
Require(errno == 0);
}
static void CheckLongDouble() {
Require(ExtendedBits(acosl_nid_postfix(-1.0L), 0xc90fdaa22168c235ull, 0x4000));
Require(ExtendedBits(acosl_nid_postfix(0.0L), 0xc90fdaa22168c235ull, 0x3fff));
Require(ExtendedBits(acosl_nid_postfix(1.0L), 0, 0));
Require(std::isnan(acosl_nid_postfix(1.5L)) && std::isnan(acosl_nid_postfix(-2.0L)));
int exponent = 77;
Require(frexpl_nid_postfix(8.0L, &exponent) == 0.5L && exponent == 4);
Require(frexpl_nid_postfix(-3.0L, &exponent) == -0.75L && exponent == 2);
Require(frexpl_nid_postfix(0.375L, &exponent) == 0.75L && exponent == -1);
long double smallest = 0;
const std::uint64_t one = 1;
std::memcpy(&smallest, &one, sizeof(one));
Require(ExtendedBits(frexpl_nid_postfix(smallest, &exponent), 0x8000000000000000ull, 0x3ffe) && exponent == -16444);
exponent = 77;
Require(ExtendedBits(frexpl_nid_postfix(-0.0L, &exponent), 0, 0x8000) && exponent == 0);
exponent = 77;
Require(frexpl_nid_postfix(INFINITY, &exponent) == INFINITY && exponent == 77);
Require(frexpl_nid_postfix(-INFINITY, &exponent) == -INFINITY && exponent == 77);
Require(std::isnan(frexpl_nid_postfix(NAN, &exponent)) && exponent == 77);
Require(ceill_nid_postfix(2.2L) == 3.0L && ceill_nid_postfix(-2.7L) == -2.0L);
Require(floorl_nid_postfix(2.7L) == 2.0L && floorl_nid_postfix(-2.2L) == -3.0L);
Require(ceill_nid_postfix(2.0L) == 2.0L && floorl_nid_postfix(-2.0L) == -2.0L);
Require(std::isnan(ceill_nid_postfix(NAN)) && std::isnan(floorl_nid_postfix(NAN)));
}
static void CheckNearbyintl() {
std::feclearexcept(FE_ALL_EXCEPT);
const long double zero = nearbyintl_nid_postfix(0.5L);
Require(zero == 0.0L && !std::signbit(zero));
Require(nearbyintl_nid_postfix(1.5L) == 2.0L && nearbyintl_nid_postfix(2.5L) == 2.0L);
Require(nearbyintl_nid_postfix(2.7L) == 3.0L && nearbyintl_nid_postfix(-2.7L) == -3.0L);
Require(ExtendedBits(nearbyintl_nid_postfix(-0.5L), 0, 0x8000));
Require(nearbyintl_nid_postfix(0x1p200L) == 0x1p200L);
Require(nearbyintl_nid_postfix(INFINITY) == INFINITY && nearbyintl_nid_postfix(-INFINITY) == -INFINITY);
Require(std::isnan(nearbyintl_nid_postfix(NAN)));
Require(std::fetestexcept(FE_INEXACT) == 0);
}
static void CheckFmodErrno() {
errno = 0;
(void)fmod_nid_postfix(1.0, 0.0);
Require(errno == 0);
Require(fmod_nid_postfix(1e300, 3.0) == std::fmod(1e300, 3.0));
}
static long double MakeExtended(std::uint64_t mantissa, std::uint16_t signExponent) {
unsigned char bytes[sizeof(long double)]{};
std::memcpy(bytes, &mantissa, 8);
std::memcpy(bytes + 8, &signExponent, 2);
long double value = 0;
std::memcpy(&value, bytes, sizeof(value));
return value;
}
static void CheckAsinl() {
const struct { std::uint64_t inputMantissa; std::uint16_t inputSignExponent; std::uint64_t outputMantissa; std::uint16_t outputSignExponent; } cases[] = {
{0, 0x0000, 0, 0x0000}, {0, 0x8000, 0, 0x8000},
{0x8000000000000000ull, 0x3fd7, 0x8000000000000000ull, 0x3fd7}, {0x8000000000000000ull, 0xbfd7, 0x8000000000000000ull, 0xbfd7},
{0x8000000000000000ull, 0x3ffd, 0x815f4e705c3e68f3ull, 0x3ffd}, {0x8000000000000000ull, 0xbffd, 0x815f4e705c3e68f3ull, 0xbffd},
{0xcccccccccccccccdull, 0x3ffb, 0xcd2493b01bc41e02ull, 0x3ffb},
{0x8000000000000000ull, 0x3ffe, 0x860a91c16b9b2c23ull, 0x3ffe}, {0x8000000000000000ull, 0xbffe, 0x860a91c16b9b2c23ull, 0xbffe},
{0xc000000000000000ull, 0xbffe, 0xd91a98ae3406e041ull, 0xbffe}, {0xe666666666666666ull, 0x3ffe, 0x8f549b82fd0b8fa3ull, 0x3fff},
{0xf333333333333333ull, 0x3ffe, 0xa06a08acf9a04f78ull, 0x3fff}, {0xfd70a3d70a3d70a4ull, 0xbffe, 0xb6f1e3799ea8ecc3ull, 0xbfff},
{0xffffffffffffffffull, 0x3ffe, 0xc90fdaa16c63cf01ull, 0x3fff},
{0x8000000000000000ull, 0x3fff, 0xc90fdaa22168c235ull, 0x3fff}, {0x8000000000000000ull, 0xbfff, 0xc90fdaa22168c235ull, 0xbfff},
};
for (const auto& test : cases) {
*__error_nid_postfix() = 12345;
const long double result = asinl_nid_postfix(MakeExtended(test.inputMantissa, test.inputSignExponent));
if (!ExtendedBits(result, test.outputMantissa, test.outputSignExponent) || *__error_nid_postfix() != 12345) {
std::fprintf(stderr, "Guest asinl failed for %016llx:%04x\n", static_cast<unsigned long long>(test.inputMantissa), test.inputSignExponent);
std::abort();
}
}
Require(std::fabs(asinl_nid_postfix(0.5L) - 0.523598775598298873077107230547L) <= 0x1p-64L);
const long double domainErrors[] = {
1.5L, -2.0L, MakeExtended(0x8000000000000001ull, 0x3fff), MakeExtended(0x8000000000000001ull, 0xbfff),
std::numeric_limits<long double>::max(), std::numeric_limits<long double>::infinity(), -std::numeric_limits<long double>::infinity(),
std::numeric_limits<long double>::quiet_NaN(),
};
for (const long double input : domainErrors) {
std::feclearexcept(FE_ALL_EXCEPT);
*__error_nid_postfix() = 0;
Require(std::isnan(asinl_nid_postfix(input)) && *__error_nid_postfix() == EDOM && std::fetestexcept(FE_INVALID) != 0);
}
*__error_nid_postfix() = 0;
}
static void CheckIntegerConversions() {
for (const long long numerator : {4294967301LL, -4294967301LL}) {
for (const long long denominator : {3LL, -3LL}) {
const auto result = lldiv_nid_postfix(numerator, denominator);
Require(result.quot == numerator / denominator && result.rem == numerator % denominator);
Require(result.quot * denominator + result.rem == numerator);
const auto wide = ldiv_nid_postfix(numerator, denominator);
Require(wide.quot == result.quot && wide.rem == result.rem);
}
}
const auto extreme = ldiv_nid_postfix(INT64_MIN, 2);
Require(extreme.quot == INT64_MIN / 2 && extreme.rem == 0);
struct SignedCase {
const char* text;
int base;
std::int64_t value;
std::size_t consumed;
int error;
};
const SignedCase signedCases[] = {
{"-42tail", 10, -42, 3, 0},
{"2147483648!", 10, INT64_C(2147483648), 10, 0},
{"-2147483649!", 10, -INT64_C(2147483649), 11, 0},
{"4294967296!", 10, INT64_C(4294967296), 10, 0},
{"9223372036854775807!", 10, INT64_MAX, 19, 0},
{"-9223372036854775808!", 10, INT64_MIN, 20, 0},
{"9223372036854775808!", 10, INT64_MAX, 19, 34},
{"-9223372036854775809!", 10, INT64_MIN, 20, 34},
{"18446744073709551616000!", 10, INT64_MAX, 23, 34},
{" \t+0x100000000z", 0, INT64_C(4294967296), 14, 0},
{"-0x8000000000000000!", 0, INT64_MIN, 19, 0},
{"0x8000000000000000!", 16, INT64_MAX, 18, 34},
{"0100000000000!", 0, INT64_C(8589934592), 13, 0},
{"100000000000000000000000000000000!", 2, INT64_C(4294967296), 33, 0},
{"0b101", 0, 0, 1, 0},
{"0b101", 2, 0, 1, 0},
{" -0B1!", 0, 0, 3, 0},
{"0b2", 0, 0, 1, 0},
{"0b101", 16, 0xb101, 5, 0},
{" -0xz!", 0, 0, 0, 0},
{"0xg", 16, 0, 0, 0},
{"0x", 16, 0, 0, 0},
{"z!", 36, 35, 1, 0},
{"", 10, 0, 0, 0},
{" \t+!", 10, 0, 0, 0},
{"123!", 10, 123, 3, 0}
};
for (const auto& test : signedCases) {
char* end = nullptr;
*__error_nid_postfix() = 0;
const auto value = strtol_nid_postfix(test.text, &end, test.base);
if (value != test.value || end != test.text + test.consumed || *__error_nid_postfix() != test.error) {
std::fprintf(stderr, "Guest strtol failed for '%s' in base %d\n", test.text, test.base);
std::abort();
}
*__error_nid_postfix() = 0;
const auto maxValue = strtoimax_nid_postfix(test.text, &end, test.base);
if (maxValue != test.value || end != test.text + test.consumed || *__error_nid_postfix() != test.error) {
std::fprintf(stderr, "Guest strtoimax failed for '%s' in base %d\n", test.text, test.base);
std::abort();
}
}
struct UnsignedCase {
const char* text;
int base;
std::uint64_t value;
std::size_t consumed;
int error;
};
const UnsignedCase unsignedCases[] = {
{"4294967296!", 10, UINT64_C(4294967296), 10, 0},
{"9223372036854775808!", 10, UINT64_C(9223372036854775808), 19, 0},
{"18446744073709551615!", 10, UINT64_MAX, 20, 0},
{"18446744073709551616!", 10, UINT64_MAX, 20, 34},
{"18446744073709551616000!", 10, UINT64_MAX, 23, 34},
{"-1!", 10, UINT64_MAX, 2, 0},
{"-4294967296!", 10, UINT64_MAX - UINT64_C(4294967295), 11, 0},
{"-18446744073709551615!", 10, 1, 21, 0},
{"-18446744073709551616!", 10, UINT64_MAX, 21, 34},
{" \t+0xffffffffffffffffz", 0, UINT64_MAX, 21, 0},
{"0x10000000000000000!", 16, UINT64_MAX, 19, 34},
{"0100000000000!", 0, UINT64_C(8589934592), 13, 0},
{"100000000000000000000000000000000!", 2, UINT64_C(4294967296), 33, 0},
{"0b101", 0, 0, 1, 0},
{"0B11", 2, 0, 1, 0},
{" +0b1!", 2, 0, 3, 0},
{"0b101", 16, 0xb101, 5, 0},
{" +0Xg!", 0, 0, 0, 0},
{"0x!", 16, 0, 0, 0},
{"z!", 36, 35, 1, 0},
{"", 10, 0, 0, 0},
{" \t-!", 10, 0, 0, 0},
{"123!", 10, 123, 3, 0}
};
for (const auto& test : unsignedCases) {
char* end = nullptr;
*__error_nid_postfix() = 0;
const auto value = strtoul_nid_postfix(test.text, &end, test.base);
if (value != test.value || end != test.text + test.consumed || *__error_nid_postfix() != test.error) {
std::fprintf(stderr, "Guest strtoul failed for '%s' in base %d\n", test.text, test.base);
std::abort();
}
}
for (const int base : {0, 2}) {
const char text[] = " -0B11";
char* end = nullptr;
Require(strtoll_nid_postfix(text, &end, base) == 0 && end == text + 3);
Require(strtoull_nid_postfix(text, &end, base) == 0 && end == text + 3);
Require(strtoumax_nid_postfix(text, &end, base) == 0 && end == text + 3);
Require(_Stoull_nid_postfix(text, &end, base) == 0 && end == text + 3);
Require(_Stoul_nid_postfix(text, &end, base) == 0 && end == text + 3);
}
Require(atol_nid_postfix(" \t-4294967296tail") == -INT64_C(4294967296));
Require(atol_nid_postfix("9223372036854775807") == INT64_MAX && atol_nid_postfix("+12") == 12);
Require(atol_nid_postfix("0x10") == 0 && atol_nid_postfix("010") == 10 && atol_nid_postfix("") == 0);
Require(atoll_nid_postfix("-9223372036854775808") == INT64_MIN && atoll_nid_postfix("4294967297x") == 4294967297LL);
Require(atoll_nid_postfix(" -0012") == -12 && atoll_nid_postfix("z1") == 0);
*__error_nid_postfix() = 13;
Require(strtol_nid_postfix("-4294967296", nullptr, 10) == -INT64_C(4294967296));
Require(*__error_nid_postfix() == 13);
Require(strtoul_nid_postfix("4294967296", nullptr, 10) == UINT64_C(4294967296));
Require(*__error_nid_postfix() == 13);
Require(_Stoul_nid_postfix("4294967296", nullptr, 10) == UINT64_C(4294967296));
Require(*__error_nid_postfix() == 13);
Require(_Stoul_nid_postfix("18446744073709551615", nullptr, 10) == UINT64_MAX);
Require(_Stoul_nid_postfix("-1", nullptr, 10) == UINT64_MAX && *__error_nid_postfix() == 13);
for (const int base : {-1, 1, 37}) {
const char text[] = " 12";
const auto rejects = [&](auto parse, int error) {
char* end = nullptr;
*__error_nid_postfix() = 0;
Require(parse(text, &end, base) == 0 && end == text && *__error_nid_postfix() == error);
};
rejects(strtol_nid_postfix, EINVAL);
rejects(strtoul_nid_postfix, EINVAL);
rejects(strtoll_nid_postfix, EINVAL);
rejects(strtoull_nid_postfix, EINVAL);
rejects(strtoimax_nid_postfix, 0);
rejects(strtoumax_nid_postfix, 0);
rejects(_Stoull_nid_postfix, 0);
rejects(_Stoul_nid_postfix, 0);
}
*__error_nid_postfix() = 0;
Require(atoi_nid_postfix("9223372036854775808") == 0 && atoi_nid_postfix("4294967297") == 1 && atoi_nid_postfix("-9223372036854775809") == -1);
Require(atol_nid_postfix("9223372036854775808") == INT64_MIN && atoll_nid_postfix("-9223372036854775809") == INT64_MAX && *__error_nid_postfix() == 0);
Require(atol_nid_postfix("99999999999999999999") == -1 && *__error_nid_postfix() == ERANGE);
*__error_nid_postfix() = 0;
}
static bool Near(double value, double expected, double tolerance) { return std::abs(value - expected) <= tolerance * std::abs(expected); }
static void CheckAsin() {
const double pi = 3.14159265358979323846;
const double pi_2 = pi / 2;
const double nan = std::numeric_limits<double>::quiet_NaN();
const double infinity = std::numeric_limits<double>::infinity();
Require(asin_nid_postfix(0.) == 0.);
Require(std::signbit(asin_nid_postfix(-0.)));
Require(Near(asin_nid_postfix(1.), pi_2, 1e-15));
Require(Near(asin_nid_postfix(-1.), -pi_2, 1e-15));
Require(std::isnan(asin_nid_postfix(2.0)) && std::signbit(asin_nid_postfix(2.0)));
Require(std::isnan(asin_nid_postfix(-2.0)) && std::signbit(asin_nid_postfix(-2.0)));
Require(std::isnan(asin_nid_postfix(infinity)) && std::signbit(asin_nid_postfix(infinity)));
Require(std::isnan(asin_nid_postfix(-infinity)) && std::signbit(asin_nid_postfix(-infinity)));
Require(std::isnan(asin_nid_postfix(nan)));
Require(Near(asin_nid_postfix(0.5), pi/6, 1e-15));
Require(Near(asin_nid_postfix(-0.5), -pi/6, 1e-15));
Require(Near(asin_nid_postfix(1./std::sqrt(2)), pi/4, 1e-15));
Require(asin_nid_postfix(1e-300) == 1e-300);
Require(asin_nid_postfix(-1e-300) == -1e-300);
std::feclearexcept(FE_ALL_EXCEPT);
errno = 0;
asin_nid_postfix(2.0);
Require(std::fetestexcept(FE_INVALID));
Require(errno == 0);
std::feclearexcept(FE_ALL_EXCEPT);
asin_nid_postfix(nan);
Require(!std::fetestexcept(FE_INVALID));
}
static void CheckExtendedMath() {
Require(ExtendedBits(atanl_nid_postfix(INFINITY), 0xc90fdaa22168c235ull, 0x3fff));
Require(std::fabs(atanl_nid_postfix(1.0L) - 0.785398163397448309616L) < 1e-18L);
Require(std::fabs(sinl_nid_postfix(0.5L) - 0.479425538604203000273L) < 1e-18L);
Require(std::fabs(cosl_nid_postfix(0.5L) - 0.877582561890372716116L) < 1e-18L);
Require(std::fabs(tanl_nid_postfix(0.5L) - 0.546302489843790513255L) < 1e-18L);
Require(std::fabs(sinhl_nid_postfix(1.0L) - 1.17520119364380145688L) < 1e-18L);
Require(std::fabs(coshl_nid_postfix(1.0L) - 1.54308063481524377848L) < 1e-18L);
Require(std::fabs(tanhl_nid_postfix(0.5L) - 0.462117157260009758502L) < 1e-18L);
Require(std::fabs(expl_nid_postfix(1.0L) - 2.71828182845904523536L) < 1e-18L);
Require(std::fabs(logl_nid_postfix(2.0L) - 0.693147180559945309417L) < 1e-18L);
Require(sinl_nid_postfix(0.0L) == 0.0L && std::signbit(sinl_nid_postfix(-0.0L)) && cosl_nid_postfix(0.0L) == 1.0L);
Require(std::isnan(sinl_nid_postfix(INFINITY)) && std::isnan(cosl_nid_postfix(-INFINITY)) && std::isnan(tanl_nid_postfix(INFINITY)));
Require(sinhl_nid_postfix(-INFINITY) == -INFINITY && coshl_nid_postfix(-INFINITY) == INFINITY && tanhl_nid_postfix(INFINITY) == 1.0L);
Require(sinhl_nid_postfix(11358.0L) == INFINITY && std::isfinite(sinhl_nid_postfix(11356.0L)) && std::isfinite(coshl_nid_postfix(11356.0L)));
Require(expl_nid_postfix(0.0L) == 1.0L && expl_nid_postfix(-INFINITY) == 0.0L && expl_nid_postfix(11357.0L) == INFINITY);
Require(exp2l_nid_postfix(10.0L) == 1024.0L && exp2l_nid_postfix(-16446.0L) == 0.0L && exp2l_nid_postfix(16384.0L) == INFINITY);
Require(ExtendedBits(exp2l_nid_postfix(-16445.0L), 1, 0) && ExtendedBits(exp2l_nid_postfix(-16444.0L), 2, 0));
Require(logl_nid_postfix(1.0L) == 0.0L && logl_nid_postfix(0.0L) == -INFINITY && std::isnan(logl_nid_postfix(-1.0L)));
Require(std::fabs(log10l_nid_postfix(1000.0L) - 3.0L) < 1e-18L && log10l_nid_postfix(1.0L) == 0.0L);
Require(log10l_nid_postfix(0.0L) == -INFINITY && std::isnan(log10l_nid_postfix(-1.0L)));
Require(powl_nid_postfix(2.0L, 64.0L) == 18446744073709551616.0L && powl_nid_postfix(-2.0L, 3.0L) == -8.0L);
Require(powl_nid_postfix(0.0L, -1.0L) == INFINITY && powl_nid_postfix(1.0L, NAN) == 1.0L && std::isnan(powl_nid_postfix(-2.0L, 0.5L)));
Require(ldexpl_nid_postfix(1.0L, 16383) == 0x1p16383L && ldexpl_nid_postfix(1.0L, 16384) == INFINITY && ldexpl_nid_postfix(3.0L, -2) == 0.75L);
Require(ExtendedBits(ldexpl_nid_postfix(1.0L, -16445), 1, 0) && ldexpl_nid_postfix(1.0L, -16446) == 0.0L);
Require(truncl_nid_postfix(2.7L) == 2.0L && truncl_nid_postfix(-2.7L) == -2.0L && ExtendedBits(truncl_nid_postfix(-0.5L), 0, 0x8000));
Require(truncl_nid_postfix(9223372036854775807.5L) == 9223372036854775807.0L && truncl_nid_postfix(-INFINITY) == -INFINITY);
Require(logb_nid_postfix(8.0) == 3.0 && logb_nid_postfix(0.75) == -1.0 && logb_nid_postfix(0x1p-1074) == -1074.0);
Require(logb_nid_postfix(0.0) == -INFINITY && logb_nid_postfix(-INFINITY) == INFINITY && std::isnan(logb_nid_postfix(NAN)));
Require(remainder_nid_postfix(5.0, 3.0) == -1.0 && remainder_nid_postfix(7.0, 2.0) == -1.0 && remainder_nid_postfix(5.0, 2.0) == 1.0);
Require(std::signbit(remainder_nid_postfix(-4.0, 2.0)) && remainder_nid_postfix(1.0, INFINITY) == 1.0);
Require(std::isnan(remainder_nid_postfix(1.0, 0.0)) && std::isnan(remainder_nid_postfix(INFINITY, 1.0)));
}
static void CheckHyperbolic() {
const double infinity = std::numeric_limits<double>::infinity();
Require(sinh_nid_postfix(0.) == 0. && std::signbit(sinh_nid_postfix(-0.)));
Require(cosh_nid_postfix(0.) == 1. && coshf_nid_postfix(0.f) == 1.f);
Require(asinh_nid_postfix(0.) == 0. && std::signbit(asinh_nid_postfix(-0.)) && std::signbit(asinhf_nid_postfix(-0.f)));
Require(acosh_nid_postfix(1.) == 0. && acoshf_nid_postfix(1.f) == 0.f);
Require(atanh_nid_postfix(0.) == 0. && atanh_nid_postfix(1.) == infinity && atanh_nid_postfix(-1.) == -infinity);
Require(std::isnan(acosh_nid_postfix(0.5)) && std::isnan(acoshf_nid_postfix(0.5f)) && std::isnan(atanh_nid_postfix(2.)));
Require(Near(sinh_nid_postfix(1.), 1.1752011936438014, 1e-15));
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 CheckScaledHyperbolic() {
const int rounding = std::fegetround();
Require(std::fesetround(FE_TONEAREST) == 0);
unsigned checks = 0;
for (bool sine : {true, false}) {
const auto function = sine ? _FSinh_nid_postfix : _FCosh_nid_postfix;
const char* name = sine ? "_FSinh" : "_FCosh";
const auto checkValue = [&](float x, float y) {
const long double value = sine ? std::sinh(static_cast<long double>(x)) : std::cosh(static_cast<long double>(x));
const float expected = static_cast<float>(value * static_cast<long double>(y));
std::feclearexcept(FE_ALL_EXCEPT);
errno = 12345;
const float result = function(x, y);
const auto actualBits = std::bit_cast<std::uint32_t>(result);
const auto expectedBits = std::bit_cast<std::uint32_t>(expected);
const auto distance = actualBits > expectedBits ? actualBits - expectedBits : expectedBits - actualBits;
const bool exact = expected == 0.0f || std::isinf(expected);
if ((exact ? actualBits != expectedBits : !std::isfinite(result) || distance > 2) ||
(std::isfinite(expected) && (std::fetestexcept(FE_OVERFLOW | FE_INVALID) != 0 || errno != 12345))) {
std::fprintf(stderr, "%s(%a, %a): got %08x, expected %08x, errno %d, flags %x\n",
name, static_cast<double>(x), static_cast<double>(y), actualBits, expectedBits, errno, std::fetestexcept(FE_ALL_EXCEPT));
std::abort();
}
++checks;
};
checkValue(90.0f, 1e-20f);
checkValue(100.0f, 1e-40f);
const float magnitudes[] = {0.0f, 0x1p-126f, 0.001f, 0.5f, 1.0f, 4.0f, 7.0f, 8.0f, 10.0f, 20.0f, 50.0f, 88.0f, 90.0f, 100.0f, 150.0f, 180.0f, 190.0f, 193.0f};
const float scales[] = {0.0f, 0x1p-149f, 0x1p-140f, 0x1p-126f, 1e-20f, 0.5f, 1.0f, 1e20f, std::numeric_limits<float>::max()};
for (float magnitude : magnitudes) {
for (float scale : scales) {
for (float xSign : {1.0f, -1.0f}) {
for (float ySign : {1.0f, -1.0f}) checkValue(magnitude * xSign, scale * ySign);
}
}
}
for (float scale : scales) {
if (scale == 0.0f) continue;
for (long double target : {static_cast<long double>(std::numeric_limits<float>::max()), 0x1p-150L}) {
if (!sine && target < scale) continue;
const long double ratio = target / static_cast<long double>(scale);
const float boundary = static_cast<float>(sine ? std::asinh(ratio) : std::acosh(ratio));
float magnitude = std::nextafter(std::nextafter(boundary, -INFINITY), -INFINITY);
for (unsigned neighbor = 0; neighbor != 5; ++neighbor) {
for (float xSign : {1.0f, -1.0f}) {
for (float ySign : {1.0f, -1.0f}) checkValue(magnitude * xSign, scale * ySign);
}
magnitude = std::nextafter(magnitude, INFINITY);
}
}
}
const auto checkSpecial = [&](float x, float y, std::uint32_t expectedBits, int error, int flags) {
std::feclearexcept(FE_ALL_EXCEPT);
std::feraiseexcept(FE_DIVBYZERO);
errno = 12345;
const float result = function(x, y);
const int raised = std::fetestexcept(FE_ALL_EXCEPT);
if (std::bit_cast<std::uint32_t>(result) != expectedBits || errno != error || raised != (FE_DIVBYZERO | flags)) {
std::fprintf(stderr, "%s special (%a, %a): got %08x, expected %08x, errno %d, flags %x\n",
name, static_cast<double>(x), static_cast<double>(y), std::bit_cast<std::uint32_t>(result), expectedBits, errno, raised);
std::abort();
}
++checks;
};
const float infinity = std::numeric_limits<float>::infinity();
for (float sign : {1.0f, -1.0f}) {
checkSpecial(sign * infinity, 0.0f, 0x7fc00000u, EDOM, FE_INVALID);
checkSpecial(sign * 100.0f, 0.0f, sine && sign < 0 ? 0x80000000u : 0u, 12345, 0);
checkSpecial(sign * 100.0f, -0.0f, sine && sign < 0 ? 0u : 0x80000000u, 12345, 0);
checkSpecial(sign * 1.0f, infinity, sine && sign < 0 ? 0xff800000u : 0x7f800000u, 12345, 0);
}
for (std::uint32_t bits : {0x7fc12345u, 0xffc54321u, 0x7fa12345u, 0xffa54321u}) {
const float nan = std::bit_cast<float>(bits);
checkSpecial(nan, 0.0f, bits, 12345, 0);
checkSpecial(infinity, nan, bits, 12345, 0);
checkSpecial(nan, std::bit_cast<float>(0x7fc99999u), bits, 12345, 0);
}
checkSpecial(0.0f, infinity, sine ? 0x7fc00000u : 0x7f800000u, sine ? EDOM : 12345, sine ? FE_INVALID : 0);
checkSpecial(1.0f, std::numeric_limits<float>::max(), 0x7f800000u, 12345, FE_OVERFLOW | FE_INEXACT);
checkSpecial(100.0f, 1.0f, 0x7f800000u, ERANGE, FE_OVERFLOW | FE_INEXACT);
for (int mode : {FE_TONEAREST, FE_DOWNWARD, FE_UPWARD, FE_TOWARDZERO}) {
Require(std::fesetround(mode) == 0);
checkSpecial(std::numeric_limits<float>::max(), 0x1p-149f, 0x7f800000u, ERANGE, FE_OVERFLOW | FE_INEXACT);
}
Require(std::fesetround(FE_TONEAREST) == 0);
if (sine) checkSpecial(0x1p-126f, 0x1p-149f, 0u, 12345, FE_UNDERFLOW | FE_INEXACT);
}
std::feclearexcept(FE_ALL_EXCEPT);
Require(std::fesetround(rounding) == 0);
std::printf("Scaled hyperbolic checks: %u\n", checks);
}
static void CheckSinhf() {
const float infinity = std::numeric_limits<float>::infinity();
const struct { std::uint32_t input; std::uint32_t output; } cases[] = {
{0x00000000u, 0x00000000u}, {0x80000000u, 0x80000000u}, {0x00000001u, 0x00000001u}, {0x39000000u, 0x39000000u},
{0x3e800000u, 0x3e815667u}, {0xbf000000u, 0xbf056680u}, {0x3f800000u, 0x3f966cfeu}, {0xbf800000u, 0xbf966cfeu},
{0x40000000u, 0x40681e7bu}, {0x41100000u, 0x457d38acu}, {0xc1a00000u, 0xcd675844u}, {0x42b17217u, 0x7effff84u},
{0x42b20000u, 0x7f28e166u}, {0xc2b20000u, 0xff28e166u}, {0x42b2d4fcu, 0x7f7fffecu},
{0x7f800000u, 0x7f800000u}, {0xff800000u, 0xff800000u},
};
for (const auto& test : cases) {
*__error_nid_postfix() = 12345;
const float result = sinhf_nid_postfix(std::bit_cast<float>(test.input));
if (std::bit_cast<std::uint32_t>(result) != test.output || *__error_nid_postfix() != 12345) {
std::fprintf(stderr, "Guest sinhf failed for %08x\n", test.input);
std::abort();
}
}
Require(std::isnan(sinhf_nid_postfix(std::numeric_limits<float>::quiet_NaN())) && *__error_nid_postfix() == 12345);
Require(Near(sinhf_nid_postfix(1.f), 1.1752011936438014, 1e-6) && Near(sinhf_nid_postfix(-2.f), -3.626860407847019, 1e-6));
Require(Near(sinhf_nid_postfix(0.25f), 0.25261231680816831, 1e-6) && Near(sinhf_nid_postfix(20.f), 242582597.70489514, 1e-6));
for (const std::uint32_t input : {0x42b2d4fdu, 0x42c80000u, 0x7f7fffffu}) {
for (const std::uint32_t sign : {0u, 0x80000000u}) {
std::feclearexcept(FE_ALL_EXCEPT);
*__error_nid_postfix() = 0;
const float result = sinhf_nid_postfix(std::bit_cast<float>(input | sign));
Require(result == (sign != 0 ? -infinity : infinity) && *__error_nid_postfix() == ERANGE);
Require(std::fetestexcept(FE_OVERFLOW) != 0);
}
}
*__error_nid_postfix() = 0;
}
static void CheckAtanhf() {
const struct { std::uint32_t input; std::uint32_t output; } cases[] = {
{0x00000000u, 0x00000000u}, {0x80000000u, 0x80000000u}, {0x00000001u, 0x00000001u}, {0x0da24260u, 0x0da24260u},
{0x31000000u, 0x31000000u}, {0xb1000000u, 0xb1000000u}, {0x31800000u, 0x31800000u}, {0x35800000u, 0x35800000u},
{0x3dcccccdu, 0x3dcd7c9eu}, {0x3e800000u, 0x3e82c578u}, {0xbe800000u, 0xbe82c578u}, {0x3eaaaaaau, 0x3eb17217u},
{0x3eaaaaabu, 0x3eb17218u}, {0x3effffffu, 0x3f0c9f53u}, {0x3f000000u, 0x3f0c9f54u}, {0xbf000000u, 0xbf0c9f54u},
{0x3f199999u, 0x3f317217u}, {0x3f19999au, 0x3f317218u}, {0x3f400000u, 0x3f791396u}, {0xbf400000u, 0xbf791396u},
{0x3f666666u, 0x3fbc71afu}, {0x3f7fffffu, 0x410aa123u}, {0xbf7fffffu, 0xc10aa123u},
};
for (const auto& test : cases) {
*__error_nid_postfix() = 12345;
const float result = atanhf_nid_postfix(std::bit_cast<float>(test.input));
if (std::bit_cast<std::uint32_t>(result) != test.output || *__error_nid_postfix() != 12345) {
std::fprintf(stderr, "Guest atanhf failed for %08x\n", test.input);
std::abort();
}
}
for (const std::uint32_t input : {0x3f800000u, 0xbf800000u}) {
std::feclearexcept(FE_ALL_EXCEPT);
*__error_nid_postfix() = 0;
const float result = atanhf_nid_postfix(std::bit_cast<float>(input));
Require(std::bit_cast<std::uint32_t>(result) == (input | 0x7f800000u) && *__error_nid_postfix() == ERANGE);
Require(std::fetestexcept(FE_DIVBYZERO) != 0);
}
for (const std::uint32_t input : {0x3f800001u, 0xbf800001u, 0x3fc00000u, 0xbfc00000u, 0x7f7fffffu, 0x7f800000u, 0xff800000u, 0x7fc00000u, 0xffc00000u}) {
std::feclearexcept(FE_ALL_EXCEPT);
*__error_nid_postfix() = 0;
Require(std::isnan(atanhf_nid_postfix(std::bit_cast<float>(input))) && *__error_nid_postfix() == EDOM);
Require(std::fetestexcept(FE_INVALID) != 0);
}
*__error_nid_postfix() = 0;
}
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 RequireBytes(const void* constant, std::initializer_list<unsigned char> expected) {
unsigned char bytes[16];
std::memcpy(bytes, constant, sizeof(bytes));
int index = 0;
for (const unsigned char byte : expected) Require(bytes[index++] == byte);
while (index < 16) Require(bytes[index++] == 0);
}
static void CheckDinkumwareConstants() {
RequireBytes(&_Inf_nid_postfix, {0, 0, 0, 0, 0, 0, 0xf0, 0x7f});
RequireBytes(&_Denorm_nid_postfix, {1});
RequireBytes(&_Hugeval_nid_postfix, {0, 0, 0, 0, 0, 0, 0xf0, 0x7f});
RequireBytes(&_Nan_nid_postfix, {0, 0, 0, 0, 0, 0, 0xf8, 0x7f});
RequireBytes(&_Snan_nid_postfix, {1, 0, 0, 0, 0, 0, 0xf0, 0x7f});
RequireBytes(&_FDenorm_nid_postfix, {1});
RequireBytes(&_FSnan_nid_postfix, {1, 0, 0x80, 0x7f});
RequireBytes(&_LDenorm_nid_postfix, {1});
RequireBytes(&_LInf_nid_postfix, {0, 0, 0, 0, 0, 0, 0, 0x80, 0xff, 0x7f});
RequireBytes(&_LNan_nid_postfix, {0, 0, 0, 0, 0, 0, 0, 0xc0, 0xff, 0x7f});
RequireBytes(&_LSnan_nid_postfix, {1, 0, 0, 0, 0, 0, 0, 0x80, 0xff, 0x7f});
Require(_Dtest_nid_postfix(&_Denorm_nid_postfix._Double) == -2 && _Denorm_nid_postfix._Double == std::numeric_limits<double>::denorm_min());
Require(_Dtest_nid_postfix(&_Hugeval_nid_postfix._Double) == 1 && _Hugeval_nid_postfix._Double == HUGE_VAL);
Require(_Dtest_nid_postfix(&_Nan_nid_postfix._Double) == 2 && _Dtest_nid_postfix(&_Snan_nid_postfix._Double) == 2);
Require(_FDtest_nid_postfix(reinterpret_cast<const float*>(&_FDenorm_nid_postfix)) == -2);
Require(_FDtest_nid_postfix(reinterpret_cast<const float*>(&_FSnan_nid_postfix)) == 2);
Require(_LDenorm_nid_postfix._Long_double == std::numeric_limits<long double>::denorm_min());
Require(_LInf_nid_postfix._Long_double == std::numeric_limits<long double>::infinity());
Require(std::isnan(_LNan_nid_postfix._Long_double) && std::isnan(_LSnan_nid_postfix._Long_double));
}
static void CheckMissingClassificationExports() {
const float infinity = std::numeric_limits<float>::infinity();
const float nan = std::numeric_limits<float>::quiet_NaN();
Require(isnanf_nid_postfix(nan) == 1);
Require(isnanf_nid_postfix(infinity) == 0 && isnanf_nid_postfix(-infinity) == 0);
Require(isnanf_nid_postfix(0.f) == 0 && isnanf_nid_postfix(-1.f) == 0);
const long double negativeNan = std::copysign(std::numeric_limits<long double>::quiet_NaN(), -1.L);
Require(__signbitl_nid_postfix(0.L) == 0 && __signbitl_nid_postfix(-0.L) == 1);
Require(__signbitl_nid_postfix(1.L) == 0 && __signbitl_nid_postfix(-1.L) == 1);
Require(__signbitl_nid_postfix(std::numeric_limits<long double>::infinity()) == 0);
Require(__signbitl_nid_postfix(-std::numeric_limits<long double>::infinity()) == 1);
Require(__signbitl_nid_postfix(negativeNan) == 1);
}
static void CheckFloatMathExports() {
Require(ceilf_nid_postfix(2.25f) == 3.f && ceilf_nid_postfix(-2.25f) == -2.f);
Require(floorf_nid_postfix(2.75f) == 2.f && floorf_nid_postfix(-2.25f) == -3.f);
Require(truncf_nid_postfix(2.75f) == 2.f && truncf_nid_postfix(-2.75f) == -2.f);
Require(ceilf_nid_postfix(2.f) == 2.f && floorf_nid_postfix(-2.f) == -2.f && truncf_nid_postfix(2.f) == 2.f);
Require(std::bit_cast<std::uint32_t>(ceilf_nid_postfix(-0.f)) == 0x80000000u);
Require(std::bit_cast<std::uint32_t>(floorf_nid_postfix(-0.f)) == 0x80000000u);
Require(std::bit_cast<std::uint32_t>(truncf_nid_postfix(-0.f)) == 0x80000000u);
Require(ceilf_nid_postfix(std::numeric_limits<float>::infinity()) == std::numeric_limits<float>::infinity());
Require(floorf_nid_postfix(-std::numeric_limits<float>::infinity()) == -std::numeric_limits<float>::infinity());
Require(std::isnan(ceilf_nid_postfix(std::numeric_limits<float>::quiet_NaN())));
const double nan = std::numeric_limits<double>::quiet_NaN();
const double infinity = std::numeric_limits<double>::infinity();
Require(isnan_nid_postfix(nan) == 1 && isnan_nid_postfix(infinity) == 0 && isnan_nid_postfix(0.0) == 0);
Require(isnan_nid_postfix(-nan) == 1 && isnan_nid_postfix(-1.0) == 0);
Require(isinf_nid_postfix(infinity) == 1 && isinf_nid_postfix(-infinity) == 1);
Require(isinf_nid_postfix(nan) == 0 && isinf_nid_postfix(1.0) == 0);
}
static void CheckIntegerAbsAndDivision() {
for (auto function : {labs_nid_postfix, llabs_nid_postfix, imaxabs_nid_postfix}) {
Require(function(-5) == 5 && function(7) == 7 && function(0) == 0);
Require(function(-0x100000000ll) == 0x100000000ll);
Require(function(INT64_MAX) == INT64_MAX && function(INT64_MIN) == INT64_MIN);
}
const auto small = imaxdiv_nid_postfix(-7, 2);
Require(small.quot == -3 && small.rem == -1);
const auto large = imaxdiv_nid_postfix(0x123456789abll, -0x1000);
Require(large.quot == -0x12345678ll && large.rem == 0x9abll);
}
static void CheckScaling() {
Require(scalbnl_nid_postfix(3.0L, 4) == 48.0L && scalbnl_nid_postfix(1.0L, -16445) == 0x1p-16445L);
Require(scalbnl_nid_postfix(1.0L, 16384) == std::numeric_limits<long double>::infinity());
Require(significandf_nid_postfix(12.0f) == 1.5f && significandf_nid_postfix(-0.375f) == -1.5f);
Require(significandf_nid_postfix(0x1p-149f) == 1.0f);
Require(std::signbit(significandf_nid_postfix(-0.0f)) && significandf_nid_postfix(-0.0f) == 0.0f);
Require(significandf_nid_postfix(std::numeric_limits<float>::infinity()) == std::numeric_limits<float>::infinity());
Require(std::isnan(significandf_nid_postfix(std::numeric_limits<float>::quiet_NaN())));
Require(significand_nid_postfix(12.0) == 1.5 && significand_nid_postfix(-0.375) == -1.5);
Require(significand_nid_postfix(0x1p-1074) == 1.0);
Require(std::signbit(significand_nid_postfix(-0.0)) && significand_nid_postfix(-0.0) == 0.0);
Require(significand_nid_postfix(std::numeric_limits<double>::infinity()) == std::numeric_limits<double>::infinity());
Require(std::isnan(significand_nid_postfix(std::numeric_limits<double>::quiet_NaN())));
}
static bool Near(long double actual, long double expected) {
return std::fabs(actual - expected) <= std::fabs(expected) * 1e-17L;
}
static void CheckLongDoubleFunctions() {
const long double infinity = std::numeric_limits<long double>::infinity();
const long double nan = std::numeric_limits<long double>::quiet_NaN();
Require(acoshl_nid_postfix(1.0L) == 0.0L && std::isnan(acoshl_nid_postfix(0.5L)));
Require(asinhl_nid_postfix(-0.0L) == 0.0L && std::signbit(asinhl_nid_postfix(-0.0L)));
Require(atanhl_nid_postfix(1.0L) == infinity && Near(atanhl_nid_postfix(0.5L), 0.5493061443340548456976226L));
Require(Near(atan2l_nid_postfix(1.0L, 1.0L), 0.7853981633974483096156608L) && Near(atan2l_nid_postfix(0.0L, -1.0L), 3.1415926535897932384626434L));
Require(cbrtl_nid_postfix(-27.0L) == -3.0L && Near(cbrtl_nid_postfix(0x1p-16443L) * cbrtl_nid_postfix(0x1p-16443L) * cbrtl_nid_postfix(0x1p-16443L), 0x1p-16443L));
Require(erfl_nid_postfix(0.0L) == 0.0L && erfl_nid_postfix(infinity) == 1.0L && erfcl_nid_postfix(0.0L) == 1.0L);
Require(erfcl_nid_postfix(infinity) == 0.0L && erfcl_nid_postfix(-infinity) == 2.0L);
Require(expm1l_nid_postfix(0.0L) == 0.0L && expm1l_nid_postfix(-infinity) == -1.0L);
Require(log1pl_nid_postfix(0.0L) == 0.0L && log1pl_nid_postfix(-1.0L) == -infinity);
Require(log2l_nid_postfix(8.0L) == 3.0L && log2l_nid_postfix(0x1p-16445L) == -16445.0L);
Require(lgammal_nid_postfix(1.0L) == 0.0L && lgammal_nid_postfix(2.0L) == 0.0L && lgammal_nid_postfix(0.0L) == infinity);
Require(tgammal_nid_postfix(5.0L) == 24.0L && Near(tgammal_nid_postfix(0.5L), 1.7724538509055160272981675L));
Require(tgammaf_nid_postfix(5.0f) == 24.0f && std::abs(tgammaf_nid_postfix(0.5f) - 1.77245385f) < 1e-6f);
Require(tgammaf_nid_postfix(1.0f) == 1.0f && tgammaf_nid_postfix(2.0f) == 1.0f && tgammaf_nid_postfix(3.0f) == 2.0f);
Require(std::isinf(tgammaf_nid_postfix(0.0f)) && std::isnan(tgammaf_nid_postfix(-1.0f)));
Require(hypotl_nid_postfix(3.0L, -4.0L) == 5.0L && hypotl_nid_postfix(nan, -infinity) == infinity);
Require(hypot3f_nid_postfix(3.0f, -4.0f, 12.0f) == 13.0f && hypot3f_nid_postfix(0.0f, 3.0f, -4.0f) == 5.0f);
Require(hypot3f_nid_postfix(2.0f, 0.0f, 0.0f) == 2.0f && hypot3f_nid_postfix(-2.0f, 3.0f, 6.0f) == 7.0f);
Require(hypot3_nid_postfix(1.0, 2.0, 2.0) == 3.0 && hypot3_nid_postfix(12.0, 3.0, 4.0) == 13.0);
Require(hypot3l_nid_postfix(2.0L, -3.0L, 6.0L) == 7.0L);
const double payload = std::bit_cast<double>(0x7ff8000000000123ull);
Require(std::bit_cast<std::uint64_t>(hypot3_nid_postfix(1.0, payload, std::numeric_limits<double>::infinity())) == 0x7ff8000000000123ull);
Require(std::isnan(hypot3f_nid_postfix(std::numeric_limits<float>::infinity(), 1.0f, std::numeric_limits<float>::quiet_NaN())));
Require(hypot3l_nid_postfix(-infinity, 1.0L, 2.0L) == infinity && hypot3_nid_postfix(1.0, -std::numeric_limits<double>::infinity(), 0.0) == std::numeric_limits<double>::infinity());
Require(hypot3_nid_postfix(0x1p1000, 0x1p1000, 0x1p1000) == std::hypot(0x1p1000, std::hypot(0x1p1000, 0x1p1000)));
Require(j0f_nid_postfix(0.0f) == 1.0f && j1f_nid_postfix(0.0f) == 0.0f && jnf_nid_postfix(2, 0.0f) == 0.0f);
Require(std::fabs(j0f_nid_postfix(2.5f) - static_cast<float>(-0.048383776468198)) < 1e-6f);
Require(std::fabs(jnf_nid_postfix(3, 4.0f) - static_cast<float>(0.430171473875622)) < 1e-6f);
Require(y0f_nid_postfix(0.0f) == -std::numeric_limits<float>::infinity() && y1f_nid_postfix(0.0f) == -std::numeric_limits<float>::infinity());
Require(ynf_nid_postfix(2, 0.0f) == -std::numeric_limits<float>::infinity());
Require(std::fabs(ynf_nid_postfix(2, 3.0f) - static_cast<float>(-0.160400393484924)) < 1e-6f);
Require(std::isnan(y0f_nid_postfix(-1.0f)));
}
static void CheckDoubleClassification() {
const struct { std::uint64_t bits; short code; } cases[] = {
{0x0000000000000000ull, 0}, {0x8000000000000000ull, 0},
{0x0000000000000001ull, -2}, {0x800fffffffffffffull, -2},
{0x0010000000000000ull, -1}, {0xbff0000000000000ull, -1}, {0x7fefffffffffffffull, -1},
{0x7ff0000000000000ull, 1}, {0xfff0000000000000ull, 1},
{0x7ff0000000000001ull, 2}, {0x7ff8000000000000ull, 2}, {0xfff8000000000000ull, 2},
};
for (const auto& test : cases) {
double value;
std::memcpy(&value, &test.bits, sizeof(value));
if (_Dtest_nid_postfix(&value) != test.code) {
std::fprintf(stderr, "Guest _Dtest failed for %016llx\n", static_cast<unsigned long long>(test.bits));
std::abort();
}
}
}
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);
}
}
static void CheckLongDoubleRounding(long double value, std::int64_t expected, bool invalid) {
std::feclearexcept(FE_ALL_EXCEPT);
errno = 12345;
const std::int64_t result = llroundl_nid_postfix(value);
if (result != expected || (std::fetestexcept(FE_INVALID) != 0) != invalid || errno != 12345) {
std::fprintf(stderr, "llroundl failed for %La: expected %lld, got %lld\n", value,
static_cast<long long>(expected), static_cast<long long>(result));
std::abort();
}
}
static void CheckNoConversionIsPositiveZero() {
for (const char* text : {"", " ", "-", "+", "-.", "+.", "-x", "-.e1", "-e5", "- 1", " -."}) {
char* end = nullptr;
const double parsed = strtod_nid_postfix(text, &end);
Require(parsed == 0. && !std::signbit(parsed) && end == text);
const float parsedFloat = strtof_nid_postfix(text, &end);
Require(parsedFloat == 0.f && !std::signbit(parsedFloat) && end == text);
const long double parsedLong = strtold_nid_postfix(text, &end);
Require(parsedLong == 0.L && !std::signbit(parsedLong) && end == text);
Require(!std::signbit(atof_nid_postfix(text)));
}
char* end = nullptr;
const char negativeZero[] = "-0.0x";
const double parsed = strtod_nid_postfix(negativeZero, &end);
Require(parsed == 0. && std::signbit(parsed) && end == negativeZero + 4);
for (const char* text : {"-0", "-.0", "-0e5", "-0x0p0", "-0x"}) {
const double keptDouble = strtod_nid_postfix(text, &end);
Require(keptDouble == 0. && std::signbit(keptDouble) && end != text);
const float keptFloat = strtof_nid_postfix(text, &end);
Require(keptFloat == 0.f && std::signbit(keptFloat) && end != text);
const long double keptLong = strtold_nid_postfix(text, nullptr);
Require(keptLong == 0.L && std::signbit(keptLong));
}
Require(strtod_nid_postfix("-inf", nullptr) == -std::numeric_limits<double>::infinity());
Require(std::isnan(atof_nid_postfix("nan")));
const double noEndPointer = strtod_nid_postfix("-.", nullptr);
Require(noEndPointer == 0. && !std::signbit(noEndPointer));
const char16_t wide[] = u"-.";
char16_t* wideEnd = nullptr;
const char16_t wideKept[] = u" -0.0x";
const double keptWide = wcstod_nid_postfix(wideKept, &wideEnd);
Require(keptWide == 0. && std::signbit(keptWide) && wideEnd == wideKept + 5);
const double parsedWide = wcstod_nid_postfix(wide, &wideEnd);
Require(parsedWide == 0. && !std::signbit(parsedWide) && wideEnd == wide);
const float parsedWideFloat = wcstof_nid_postfix(wide, &wideEnd);
Require(parsedWideFloat == 0.f && !std::signbit(parsedWideFloat) && wideEnd == wide);
const long double parsedWideLong = wcstold_nid_postfix(wide, &wideEnd);
Require(parsedWideLong == 0.L && !std::signbit(parsedWideLong) && wideEnd == wide);
}
template<typename TValue, std::size_t TBytes>
static void RequireCharacteristic(const unsigned char (&constant)[16], TValue expected) {
TValue value;
std::memcpy(&value, constant, sizeof(value));
Require(value == expected);
for (std::size_t index = TBytes; index < 16; ++index) Require(constant[index] == 0);
}
template<typename TValue, std::size_t TBytes>
static void RequireCharacteristics(const DinkumwareFloatCharacteristics& table, const int (&integers)[6]) {
const int fields[] = {table.digits, table.mantissaDigits, table.maxExponent10, table.maxExponent, table.minExponent10, table.minExponent};
for (int index = 0; index < 6; ++index) Require(fields[index] == integers[index]);
RequireCharacteristic<TValue, TBytes>(table.epsilon, std::numeric_limits<TValue>::epsilon());
RequireCharacteristic<TValue, TBytes>(table.max, std::numeric_limits<TValue>::max());
RequireCharacteristic<TValue, TBytes>(table.min, std::numeric_limits<TValue>::min());
}
static void CheckDinkumwareFloatCharacteristics() {
static_assert(sizeof(DinkumwareFloatCharacteristics) == 80 && offsetof(DinkumwareFloatCharacteristics, epsilon) == 32);
RequireCharacteristics<float, 4>(_Flt_nid_postfix, {FLT_DIG, FLT_MANT_DIG, FLT_MAX_10_EXP, FLT_MAX_EXP, FLT_MIN_10_EXP, FLT_MIN_EXP});
RequireCharacteristics<double, 8>(_Dbl_nid_postfix, {DBL_DIG, DBL_MANT_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP, DBL_MIN_10_EXP, DBL_MIN_EXP});
RequireCharacteristics<long double, 10>(_Ldbl_nid_postfix, {18, 64, 4932, 16384, -4931, -16381});
for (const auto* table : {&_Flt_nid_postfix, &_Dbl_nid_postfix, &_Ldbl_nid_postfix})
for (std::size_t index = 24; index < 32; ++index) Require(reinterpret_cast<const unsigned char*>(table)[index] == 0);
}
int main() {
CheckFloatClassification();
CheckDinkumwareConstants();
CheckNoConversionIsPositiveZero();
CheckMissingClassificationExports();
CheckFloatMathExports();
CheckIntegerConversions();
CheckExtendedMath();
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 == '!');
CheckNanConversions();
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)));
int quo = 0;
Require(remquo_nid_postfix(7.0, 3.0, &quo) == 1.0 && (quo & 7) == 2);
Require(remquo_nid_postfix(-7.0, 3.0, &quo) == -1.0 && (quo & 7) == ((-2) & 7));
int quof = 0;
Require(remquof_nid_postfix(7.0f, 3.0f, &quof) == 1.0f && (quof & 7) == 2);
Require(remquof_nid_postfix(-7.0f, 3.0f, &quof) == -1.0f && (quof & 7) == ((-2) & 7));
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(copysign_nid_postfix(1.0, 2.0) == 1.0 && copysign_nid_postfix(1.0, -2.0) == -1.0);
Require(copysign_nid_postfix(-1.0, 2.0) == 1.0 && copysign_nid_postfix(-1.0, -2.0) == -1.0);
Require(std::bit_cast<std::uint64_t>(copysign_nid_postfix(0.0, -1.0)) == 0x8000000000000000ull);
Require(std::bit_cast<std::uint64_t>(copysign_nid_postfix(-0.0, 1.0)) == 0);
Require(copysign_nid_postfix(INFINITY, -1.0) == -INFINITY && copysign_nid_postfix(-INFINITY, 1.0) == INFINITY);
Require(std::isnan(copysign_nid_postfix(std::numeric_limits<double>::quiet_NaN(), -1.0)) && std::signbit(copysign_nid_postfix(std::numeric_limits<double>::quiet_NaN(), -1.0)));
Require(std::isnan(copysign_nid_postfix(std::numeric_limits<double>::quiet_NaN(), 1.0)) && !std::signbit(copysign_nid_postfix(std::numeric_limits<double>::quiet_NaN(), 1.0)));
Require(copysignf_nid_postfix(1.0f, 2.0f) == 1.0f && copysignf_nid_postfix(1.0f, -2.0f) == -1.0f);
Require(std::bit_cast<std::uint32_t>(copysignf_nid_postfix(0.0f, -1.0f)) == 0x80000000u);
Require(std::bit_cast<std::uint32_t>(copysignf_nid_postfix(-0.0f, 1.0f)) == 0);
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(expm1f_nid_postfix(0.f) == 0.f && std::signbit(expm1f_nid_postfix(-0.f)) && expm1f_nid_postfix(-1000.f) == -1.f);
Require(std::abs(expm1f_nid_postfix(1.f) - 1.7182818f) < 1e-6f && std::isinf(expm1f_nid_postfix(std::numeric_limits<float>::infinity())));
Require(erff_nid_postfix(0.f) == 0.f && std::signbit(erff_nid_postfix(-0.f)) && erff_nid_postfix(10.f) == 1.f && erff_nid_postfix(-10.f) == -1.f);
Require(std::abs(erff_nid_postfix(0.5f) - 0.5204999f) < 1e-6f && std::isnan(erff_nid_postfix(std::numeric_limits<float>::quiet_NaN())));
Require(erf_nid_postfix(0.) == 0. && std::signbit(erf_nid_postfix(-0.)) && erf_nid_postfix(10.) == 1. && erf_nid_postfix(-10.) == -1.);
Require(std::abs(erf_nid_postfix(0.5) - 0.5204998778130465) < 1e-15 && std::isnan(erf_nid_postfix(std::numeric_limits<double>::quiet_NaN())));
Require(erfc_nid_postfix(0.) == 1. && erfc_nid_postfix(100.) == 0. && erfc_nid_postfix(-100.) == 2.);
Require(std::abs(erfc_nid_postfix(0.5) - 0.47950012218695346) < 1e-15 && std::isnan(erfc_nid_postfix(std::numeric_limits<double>::quiet_NaN())));
Require(erfcf_nid_postfix(0.f) == 1.f && erfcf_nid_postfix(100.f) == 0.f && erfcf_nid_postfix(-100.f) == 2.f);
Require(std::abs(erfcf_nid_postfix(0.5f) - 0.47950012f) < 1e-6f && std::isnan(erfcf_nid_postfix(std::numeric_limits<float>::quiet_NaN())));
Require(lgamma_nid_postfix(1.) == 0. && lgamma_nid_postfix(2.) == 0. && std::isinf(lgamma_nid_postfix(0.)));
Require(std::abs(lgamma_nid_postfix(0.5) - 0.5723649429247001) < 1e-15 && std::abs(lgamma_nid_postfix(10.) - 12.801827480081469) < 1e-13);
Require(std::abs(lgamma_nid_postfix(-0.5) - 1.2655121234846454) < 1e-15);
for (const double sign : {1.0, -1.0}) {
std::feclearexcept(FE_ALL_EXCEPT);
Require(std::abs(lgamma_nid_postfix(sign * std::numeric_limits<double>::denorm_min()) - 744.44007192138122) < 1e-12);
Require(std::abs(lgamma_nid_postfix(sign * 0x1p-1025) - 710.47586007394398) < 1e-12);
Require(std::abs(lgamma_nid_postfix(sign * 0x1p-1022) - 708.39641853226408) < 1e-12);
Require(std::abs(lgamma_nid_postfix(sign * 0x1p-57) - 39.509389291916882) < 1e-13);
Require(std::fetestexcept(FE_OVERFLOW | FE_DIVBYZERO | FE_INVALID) == 0);
}
const auto gammaSign = [](double x) {
signgam_nid_postfix = 7;
lgamma_nid_postfix(x);
return signgam_nid_postfix;
};
Require(gammaSign(0.5) == 1 && gammaSign(10.) == 1 && gammaSign(0.) == 1 && gammaSign(-0.) == -1);
Require(gammaSign(-0.5) == -1 && gammaSign(-1.5) == 1 && gammaSign(-2.5) == -1 && gammaSign(-0x1p-80) == -1);
Require(gammaSign(-1.) == 1 && gammaSign(-2.) == 1 && gammaSign(-0x1p60) == 1 && gammaSign(-4503599627370495.5) == 1);
Require(gammaSign(INFINITY) == 1 && gammaSign(-INFINITY) == 1 && gammaSign(NAN) == 1);
Require(llroundl_nid_postfix(2.5L) == 3 && llroundl_nid_postfix(-2.5L) == -3 && llroundl_nid_postfix(0.49999999999999999L) == 0);
Require(llroundl_nid_postfix(9007199254740993.0L) == 9007199254740993LL && llroundl_nid_postfix(-1e30L) == INT64_MIN);
for (const int mode : {FE_TONEAREST, FE_DOWNWARD, FE_UPWARD, FE_TOWARDZERO}) {
Require(std::fesetround(mode) == 0);
CheckLongDoubleRounding(9223372036854775807.0L, INT64_MAX, false);
CheckLongDoubleRounding(9223372036854775806.5L, INT64_MAX, false);
CheckLongDoubleRounding(9223372036854775806.0L, INT64_MAX - 1, false);
CheckLongDoubleRounding(-0x1p63L, INT64_MIN, false);
CheckLongDoubleRounding(-9223372036854775807.5L, INT64_MIN, false);
CheckLongDoubleRounding(-9223372036854775807.0L, INT64_MIN + 1, false);
for (const long double value : {9223372036854775807.5L, 0x1p63L, -9223372036854775809.0L,
std::numeric_limits<long double>::infinity(), -std::numeric_limits<long double>::infinity(),
std::numeric_limits<long double>::quiet_NaN()}) {
CheckLongDoubleRounding(value, INT64_MIN, true);
}
}
Require(std::fesetround(FE_TONEAREST) == 0);
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(ilogb_nid_postfix(8.0) == 3 && ilogb_nid_postfix(-0.75) == -1 && ilogb_nid_postfix(1.0) == 0);
Require(ilogb_nid_postfix(1024.0) == 10 && ilogb_nid_postfix(0.125) == -3);
Require(ilogbf_nid_postfix(8.f) == 3 && ilogbf_nid_postfix(-0.75f) == -1 && ilogbf_nid_postfix(1.f) == 0);
Require(ilogbf_nid_postfix(1024.f) == 10 && ilogbf_nid_postfix(0.125f) == -3);
Require(ilogb_nid_postfix(0.0) == INT_MIN && ilogb_nid_postfix(-0.0) == INT_MIN);
Require(ilogb_nid_postfix(std::numeric_limits<double>::infinity()) == INT_MAX);
Require(ilogb_nid_postfix(-std::numeric_limits<double>::infinity()) == INT_MAX);
Require(ilogb_nid_postfix(std::numeric_limits<double>::quiet_NaN()) == INT_MAX);
Require(ilogbf_nid_postfix(0.f) == INT_MIN && ilogbf_nid_postfix(-0.f) == INT_MIN);
Require(ilogbf_nid_postfix(std::numeric_limits<float>::infinity()) == INT_MAX);
Require(ilogbf_nid_postfix(std::numeric_limits<float>::quiet_NaN()) == INT_MAX);
Require(ilogbf_nid_postfix(std::numeric_limits<float>::denorm_min()) == -149);
Require(exp2_nid_postfix(-3.) == 0.125);
Require(ldexp_nid_postfix(0.75, 4) == 12.);
CheckSquareRoot();
CheckExp2Errno();
CheckExactOperations();
CheckNearbyint();
CheckFegetenv();
CheckLongDouble();
CheckNearbyintl();
CheckAsinl();
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())));
Require(nextafter_nid_postfix(1.0, 2.0) == 0x1.0000000000001p0 && nextafter_nid_postfix(1.0, 0.0) == 0x1.fffffffffffffp-1);
Require(nextafter_nid_postfix(0.0, 1.0) == std::numeric_limits<double>::denorm_min());
Require(nextafter_nid_postfix(0.0, -1.0) == -std::numeric_limits<double>::denorm_min());
Require(nextafter_nid_postfix(std::numeric_limits<double>::denorm_min(), -1.0) == 0.0);
Require(nextafter_nid_postfix(1.0, 1.0) == 1.0 && !std::signbit(nextafter_nid_postfix(-0.0, 0.0)));
Require(nextafter_nid_postfix(std::numeric_limits<double>::max(), std::numeric_limits<double>::infinity()) == std::numeric_limits<double>::infinity());
Require(std::isnan(nextafter_nid_postfix(std::numeric_limits<double>::quiet_NaN(), 1.0)) && std::isnan(nextafter_nid_postfix(1.0, std::numeric_limits<double>::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);
std::feclearexcept(FE_ALL_EXCEPT);
std::feraiseexcept(FE_DIVBYZERO);
for (const long double value : {0.0L, -0.0L, 1.0L, -1.0L, std::numeric_limits<long double>::denorm_min(),
-std::numeric_limits<long double>::denorm_min(), std::numeric_limits<long double>::min(),
std::numeric_limits<long double>::max(), std::numeric_limits<long double>::lowest(),
0x1p1024L, -0x1p1024L, 0x1p-16382L}) {
Require(__isfinitel_nid_postfix(value) == 1);
}
for (const long double value : {std::numeric_limits<long double>::infinity(), -std::numeric_limits<long double>::infinity(),
std::numeric_limits<long double>::quiet_NaN(), -std::numeric_limits<long double>::quiet_NaN(),
std::numeric_limits<long double>::signaling_NaN(), -std::numeric_limits<long double>::signaling_NaN()}) {
Require(__isfinitel_nid_postfix(value) == 0);
}
Require(std::fetestexcept(FE_ALL_EXCEPT) == FE_DIVBYZERO);
std::feclearexcept(FE_ALL_EXCEPT);
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);
CheckAsin();
const auto quotient = div_nid_postfix(7, 2);
CheckAsinfErrno();
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);
CheckPowfSpecialValue();
Require(abs_nid_postfix(0) == 0);
CheckAcosfErrno();
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());
Require(__powisf2_nid_postfix(2.0f, 10) == 1024.0f);
Require(__powisf2_nid_postfix(2.0f, -10) == 0.0009765625f);
Require(__powisf2_nid_postfix(-2.0f, 3) == -8.0f);
Require(__powisf2_nid_postfix(-2.0f, -3) == -0.125f);
Require(__powisf2_nid_postfix(-2.0f, 4) == 16.0f);
Require(__powisf2_nid_postfix(0.0f, 0) == 1.0f);
Require(__powisf2_nid_postfix(std::numeric_limits<float>::quiet_NaN(), 0) == 1.0f);
Require(std::isnan(__powisf2_nid_postfix(std::numeric_limits<float>::quiet_NaN(), 1)));
Require(__powisf2_nid_postfix(-1.0f, std::numeric_limits<int>::min()) == 1.0f);
Require(__powisf2_nid_postfix(-1.0f, std::numeric_limits<int>::max()) == -1.0f);
Require(__powisf2_nid_postfix(2.0f, std::numeric_limits<int>::min()) == 0.0f);
Require(std::isinf(__powisf2_nid_postfix(0.0f, -1)));
Require(std::signbit(__powisf2_nid_postfix(-0.0f, 3)));
Require(std::isinf(__powisf2_nid_postfix(-0.0f, -3)) && std::signbit(__powisf2_nid_postfix(-0.0f, -3)));
Require(__powisf2_nid_postfix(2.0f, -127) == 0x1p-127f);
Require(__powidf2_nid_postfix(2.0, 10) == 1024.0);
Require(__powidf2_nid_postfix(2.0, -10) == 0.0009765625);
Require(__powidf2_nid_postfix(-2.0, 3) == -8.0);
Require(__powidf2_nid_postfix(-2.0, -3) == -0.125);
Require(__powidf2_nid_postfix(-2.0, 4) == 16.0);
Require(__powidf2_nid_postfix(0.0, 0) == 1.0);
Require(__powidf2_nid_postfix(std::numeric_limits<double>::quiet_NaN(), 0) == 1.0);
Require(std::isnan(__powidf2_nid_postfix(std::numeric_limits<double>::quiet_NaN(), 1)));
Require(__powidf2_nid_postfix(-1.0, std::numeric_limits<int>::min()) == 1.0);
Require(__powidf2_nid_postfix(-1.0, std::numeric_limits<int>::max()) == -1.0);
Require(__powidf2_nid_postfix(2.0, std::numeric_limits<int>::min()) == 0.0);
Require(std::isinf(__powidf2_nid_postfix(0.0, -1)));
Require(std::signbit(__powidf2_nid_postfix(-0.0, 3)));
Require(std::isinf(__powidf2_nid_postfix(-0.0, -3)) && std::signbit(__powidf2_nid_postfix(-0.0, -3)));
Require(__powidf2_nid_postfix(2.0, -127) == 0x1p-127);
CheckHyperbolic();
CheckScaledHyperbolic();
CheckSinhf();
CheckAtanhf();
CheckHypotSpecialValue();
CheckFloatUnderflowErrno();
CheckFmodErrno();
CheckDoubleClassification();
CheckIntegerAbsAndDivision();
CheckScaling();
CheckLongDoubleFunctions();
CheckDinkumwareFloatCharacteristics();
}