mirror of
https://github.com/boykopovar/AnyPS5.git
synced 2026-10-27 00:28:14 +00:00
419 lines
31 KiB
C++
419 lines
31 KiB
C++
#include "prx/libc/include/Api.hpp"
|
|
#include "prx/libc/include/general/VabiMacros.hpp"
|
|
#include <cerrno>
|
|
#include <cfenv>
|
|
#include <cmath>
|
|
#include <cstdint>
|
|
#include <cstdio>
|
|
#include <cstdlib>
|
|
#include <cstring>
|
|
#include <initializer_list>
|
|
#include <limits>
|
|
|
|
namespace {
|
|
|
|
constexpr int RangeError = 34;
|
|
constexpr int InvalidArgument = 22;
|
|
constexpr short Denormal = -2;
|
|
constexpr short Finite = -1;
|
|
constexpr short Zero = 0;
|
|
constexpr short Infinite = 1;
|
|
constexpr short NotANumber = 2;
|
|
constexpr int FloatingExceptions = FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW | FE_INEXACT;
|
|
|
|
void Require(bool condition, const char* message) {
|
|
if (!condition) {
|
|
std::fprintf(stderr, "Dinkumware internals: %s\n", message);
|
|
std::exit(1);
|
|
}
|
|
}
|
|
|
|
void CheckStod(const char* text, std::int64_t pten, double expected, long consumed, int error, const char* message) {
|
|
*__error_nid_postfix() = 0;
|
|
char* end = nullptr;
|
|
const double value = _Stod_nid_postfix(text, &end, pten);
|
|
const bool same = std::isnan(expected) ? std::isnan(value) : value == expected && std::signbit(value) == std::signbit(expected);
|
|
Require(same && end - text == consumed && *__error_nid_postfix() == error, message);
|
|
}
|
|
|
|
void CheckExp(double x, double y, short offset, double expected, short expectedKind, int expectedErrno, int expectedFlags, const char* message) {
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
double result = x;
|
|
const short kind = _Exp_nid_postfix(&result, y, offset);
|
|
const bool same = std::isnan(expected) ? std::isnan(result) : result == expected && std::signbit(result) == std::signbit(expected);
|
|
Require(kind == expectedKind && same && errno == expectedErrno && (std::fetestexcept(FE_ALL_EXCEPT) & FloatingExceptions) == expectedFlags, message);
|
|
}
|
|
|
|
void CheckFExp(float x, float y, short offset, float expected, short expectedKind, int expectedErrno, int expectedFlags, const char* message) {
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
float result = x;
|
|
const short kind = _FExp_nid_postfix(&result, y, offset);
|
|
const bool same = std::isnan(expected) ? std::isnan(result) : result == expected && std::signbit(result) == std::signbit(expected);
|
|
Require(kind == expectedKind && same && errno == expectedErrno && (std::fetestexcept(FE_ALL_EXCEPT) & FloatingExceptions) == expectedFlags, message);
|
|
}
|
|
|
|
void TestStod() {
|
|
CheckStod("1.5", 0, 1.5, 3, 0, "unscaled decimal");
|
|
CheckStod("1.5", 1, 15.0, 3, 0, "decimal scaled up");
|
|
CheckStod("12", -2, 0.12, 2, 0, "decimal scaled down");
|
|
CheckStod(" -2.25e3xyz", 300, -0x1.a3f7f806a8135p+1007, 9, 0, "the scale is applied before rounding");
|
|
CheckStod("1e-400", 300, 1e-100, 6, 0, "an underflowing text scaled back into range");
|
|
CheckStod("1e-400", 0, 0.0, 6, RangeError, "an unscaled underflow");
|
|
CheckStod("1e300", 100, HUGE_VAL, 5, RangeError, "a scale that overflows");
|
|
CheckStod("1e300", 8, 1e308, 5, 0, "a scale up to the largest decades");
|
|
CheckStod("5e-324", -1, 0.0, 6, RangeError, "a scale that underflows to zero");
|
|
CheckStod("1", 2147483647, HUGE_VAL, 1, RangeError, "the largest scale");
|
|
CheckStod("5", std::int64_t{1} << 40, HUGE_VAL, 1, RangeError, "a scale above 32 bits");
|
|
CheckStod("1e400", -100, 1e300, 5, 0, "an overflowing text scaled back into range");
|
|
CheckStod("0.01e41", -2, 1e37, 7, 0, "a negative scale from leading fraction zeros");
|
|
CheckStod("1e-2147483648", -1, 0.0, 13, RangeError, "the smallest exponent and scale");
|
|
CheckStod("-0", 5, -0.0, 2, 0, "negative zero keeps its sign");
|
|
CheckStod("infinity", 3, HUGE_VAL, 8, 0, "infinity is not scaled");
|
|
CheckStod("nan", 3, NAN, 3, 0, "NaN is not scaled");
|
|
CheckStod("1e", 2, 100.0, 1, 0, "an exponent marker without digits");
|
|
CheckStod(".5", 2, 50.0, 2, 0, "a fraction without integer digits");
|
|
CheckStod("0.3", -1, 0.03, 3, 0, "0.3 scaled down rounds as 0.03");
|
|
CheckStod("123456789012345678901234567890", -20, 1234567890.1234567, 30, 0, "a long digit string");
|
|
CheckStod("abc", 4, 0.0, 0, 0, "no number");
|
|
CheckStod("0x1.8p0", 0, 1.5, 7, 0, "unscaled hexadecimal");
|
|
}
|
|
|
|
void TestStoll() {
|
|
char* end = nullptr;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stoll_nid_postfix("-0x1F", &end, 0) == -31 && std::strcmp(end, "") == 0, "_Stoll base detection");
|
|
Require(_Stoll_nid_postfix("+42abc", &end, 10) == 42 && std::strcmp(end, "abc") == 0, "_Stoll stops at the first non-digit");
|
|
Require(_Stoll_nid_postfix(" z", &end, 36) == 35, "_Stoll base 36");
|
|
Require(*__error_nid_postfix() == 0, "_Stoll set errno without an overflow");
|
|
Require(_Stoll_nid_postfix("9223372036854775808", &end, 10) == 9223372036854775807ll && *__error_nid_postfix() == RangeError, "_Stoll saturates");
|
|
}
|
|
|
|
void TestArithmetic() {
|
|
Require(_Divide_nid_postfix(3.0, 2.0) == 1.5, "_Divide quotient");
|
|
Require(std::isinf(_Divide_nid_postfix(1.0, 0.0)) && !std::signbit(_Divide_nid_postfix(1.0, 0.0)), "_Divide positive infinity");
|
|
Require(std::isinf(_Divide_nid_postfix(-1.0, 0.0)) && std::signbit(_Divide_nid_postfix(-1.0, 0.0)), "_Divide negative infinity");
|
|
Require(std::isnan(_Divide_nid_postfix(0.0, 0.0)), "_Divide invalid");
|
|
Require(_Divide_nid_postfix(-0.0, 2.0) == 0.0 && std::signbit(_Divide_nid_postfix(-0.0, 2.0)), "_Divide signed zero");
|
|
Require(_Divide_nid_postfix(1.0, INFINITY) == 0.0 && !std::signbit(_Divide_nid_postfix(1.0, INFINITY)), "_Divide finite by infinity");
|
|
Require(std::isnan(_Divide_nid_postfix(INFINITY, INFINITY)), "_Divide infinity by infinity");
|
|
Require(_Recip_nid_postfix(4.0) == 0.25, "_Recip quotient");
|
|
Require(_Recip_nid_postfix(-4.0) == -0.25, "_Recip negative quotient");
|
|
Require(std::isinf(_Recip_nid_postfix(-0.0)) && std::signbit(_Recip_nid_postfix(-0.0)), "_Recip signed infinity");
|
|
Require(_Recip_nid_postfix(INFINITY) == 0.0 && !std::signbit(_Recip_nid_postfix(INFINITY)), "_Recip infinity");
|
|
Require(std::isnan(_Recip_nid_postfix(NAN)), "_Recip NaN");
|
|
Require(_FDivide_nid_postfix(3.0f, 2.0f) == 1.5f, "_FDivide quotient");
|
|
Require(std::isinf(_FDivide_nid_postfix(-1.0f, 0.0f)) && std::signbit(_FDivide_nid_postfix(-1.0f, 0.0f)), "_FDivide negative infinity");
|
|
Require(std::isnan(_FDivide_nid_postfix(0.0f, 0.0f)), "_FDivide invalid");
|
|
Require(_FDivide_nid_postfix(-0.0f, 2.0f) == 0.0f && std::signbit(_FDivide_nid_postfix(-0.0f, 2.0f)), "_FDivide signed zero");
|
|
Require(_FRecip_nid_postfix(4.0f) == 0.25f, "_FRecip quotient");
|
|
Require(_FRecip_nid_postfix(-4.0f) == -0.25f, "_FRecip negative quotient");
|
|
Require(std::isinf(_FRecip_nid_postfix(-0.0f)) && std::signbit(_FRecip_nid_postfix(-0.0f)), "_FRecip signed infinity");
|
|
Require(_FRecip_nid_postfix(INFINITY) == 0.0f && !std::signbit(_FRecip_nid_postfix(INFINITY)), "_FRecip infinity");
|
|
Require(std::isnan(_FRecip_nid_postfix(NAN)), "_FRecip NaN");
|
|
}
|
|
|
|
void TestFloatErrors() {
|
|
char* end = nullptr;
|
|
int error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stodx_nid_postfix("1.5", &end, 2, &error) == 150.0 && error == 0 && *__error_nid_postfix() == 0, "_Stodx in range");
|
|
error = 99;
|
|
Require(std::isinf(_Stodx_nid_postfix("1e400", &end, 0, &error)) && error == 1 && *__error_nid_postfix() == RangeError, "_Stodx overflow");
|
|
error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stodx_nid_postfix("1e-400", &end, 2, &error) == 0.0 && error == 1 && *__error_nid_postfix() == RangeError, "_Stodx underflow");
|
|
error = 99;
|
|
*__error_nid_postfix() = 7;
|
|
Require(_Stodx_nid_postfix("1e-400", &end, 300, &error) == 1e-100 && error == 0 && *__error_nid_postfix() == 7, "_Stodx rescued by its scale");
|
|
error = 99;
|
|
*__error_nid_postfix() = RangeError;
|
|
Require(_Stodx_nid_postfix("2.5", &end, 1, &error) == 25.0 && error == 0 && *__error_nid_postfix() == RangeError, "_Stodx kept a preset errno");
|
|
error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(std::isinf(_Stofx_nid_postfix("1e39", &end, 0, &error)) && error == 1 && *__error_nid_postfix() == RangeError, "_Stofx overflow");
|
|
error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stofx_nid_postfix("2.5e-1", &end, 3, &error) == 250.0f && error == 0 && *__error_nid_postfix() == 0, "_Stofx scaled");
|
|
error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stofx_nid_postfix("1e39", &end, -1, &error) == 1e38f && error == 0 && *__error_nid_postfix() == 0, "_Stofx overflow scaled back into range");
|
|
error = 99;
|
|
Require(_Stodx_nid_postfix("1e400", &end, -100, &error) == 1e300 && error == 0 && *__error_nid_postfix() == 0, "_Stodx overflow scaled back into range");
|
|
error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stoldx_nid_postfix("1e400", &end, 0, &error) == 1e400L && error == 0 && *__error_nid_postfix() == 0, "_Stoldx uses the extended range");
|
|
error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stodx_nid_postfix("1e-310", &end, 0, &error) == 1e-310 && error == 0 && *__error_nid_postfix() == 0 && end[0] == '\0', "_Stodx subnormal");
|
|
error = 99;
|
|
Require(_Stodx_nid_postfix("1e-300", &end, -10, &error) == 1e-310 && error == 0 && *__error_nid_postfix() == 0, "_Stodx scaled into the subnormal range");
|
|
error = 99;
|
|
*__error_nid_postfix() = 7;
|
|
Require(_Stodx_nid_postfix("1e-310", &end, 0, &error) == 1e-310 && error == 0 && *__error_nid_postfix() == 7, "_Stodx subnormal kept a preset errno");
|
|
error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stodx_nid_postfix("2e-324", &end, 0, &error) == 0.0 && error == 1 && *__error_nid_postfix() == RangeError, "_Stodx below the smallest subnormal");
|
|
error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stofx_nid_postfix("1e-45", &end, 0, &error) == 0x1p-149f && error == 0 && *__error_nid_postfix() == 0 && end[0] == '\0', "_Stofx inexact subnormal");
|
|
error = 99;
|
|
Require(_Stofx_nid_postfix("1e-35", &end, -10, &error) == 0x1p-149f && error == 0 && *__error_nid_postfix() == 0, "_Stofx scaled into the subnormal range");
|
|
error = 99;
|
|
*__error_nid_postfix() = 7;
|
|
const float subnormal = _Stofx_nid_postfix("1e-40", &end, 0, &error);
|
|
Require(subnormal > 0x1p-134f && subnormal < 0x1p-132f && error == 0 && *__error_nid_postfix() == 7, "_Stofx subnormal kept a preset errno");
|
|
error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stofx_nid_postfix("1e-46", &end, 0, &error) == 0.0f && error == 1 && *__error_nid_postfix() == RangeError, "_Stofx underflow");
|
|
error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stofx_nid_postfix("1.17549435e-38", &end, 0, &error) == 0x1p-126f && error == 0 && *__error_nid_postfix() == 0, "_Stofx smallest normal");
|
|
error = 99;
|
|
Require(_Stoldx_nid_postfix("1e-4940", &end, 0, &error) == 1e-4940L && error == 0 && *__error_nid_postfix() == 0, "_Stoldx subnormal");
|
|
error = 99;
|
|
Require(_Stoldx_nid_postfix("1e-4930", &end, -10, &error) == 1e-4940L && error == 0 && *__error_nid_postfix() == 0, "_Stoldx scaled into the subnormal range");
|
|
error = 99;
|
|
Require(_Stoldx_nid_postfix("1e-5000", &end, 0, &error) == 0.0L && error == 1 && *__error_nid_postfix() == RangeError, "_Stoldx underflow");
|
|
Require(_Stof_nid_postfix("1.5", &end, 1) == 15.0f, "_Stof");
|
|
Require(_Stold_nid_postfix("1.5", &end, -1) == 0.15L, "_Stold");
|
|
error = 99;
|
|
Require(std::isnan(_Stodx_nid_postfix("nan", &end, 2, &error)) && error == 0 && end[0] == '\0', "_Stodx NaN");
|
|
}
|
|
|
|
void TestIntegerErrors() {
|
|
char* end = nullptr;
|
|
int error = 99;
|
|
*__error_nid_postfix() = 5;
|
|
Require(_Stollx_nid_postfix("123", &end, 0, &error) == 123 && error == 0 && *__error_nid_postfix() == 5, "_Stollx in range");
|
|
Require(_Stollx_nid_postfix("9223372036854775808", &end, 10, &error) == 9223372036854775807ll && error == RangeError && *__error_nid_postfix() == RangeError, "_Stollx overflow");
|
|
*__error_nid_postfix() = 5;
|
|
const char* text = " 12";
|
|
for (int base : {1, -1, 37}) {
|
|
error = 99;
|
|
Require(_Stollx_nid_postfix(text, &end, base, &error) == 0 && error == InvalidArgument && end == text && *__error_nid_postfix() == 5, "_Stollx invalid base");
|
|
error = 99;
|
|
Require(_Stolx_nid_postfix(text, &end, base, &error) == 0 && error == InvalidArgument && end == text && *__error_nid_postfix() == 5, "_Stolx invalid base");
|
|
}
|
|
Require(_Stoll_nid_postfix(text, &end, 1) == 0 && end == text && *__error_nid_postfix() == 5, "_Stoll invalid base");
|
|
error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stolx_nid_postfix("9223372036854775808", &end, 0, &error) == 9223372036854775807ll && error == RangeError && *__error_nid_postfix() == 0, "_Stolx overflow inside the unsigned range");
|
|
Require(_Stolx_nid_postfix("-18446744073709551615", &end, 10, &error) == (-9223372036854775807ll - 1) && error == RangeError && *__error_nid_postfix() == 0, "_Stolx negative overflow inside the unsigned range");
|
|
Require(_Stolx_nid_postfix("18446744073709551616", &end, 10, &error) == 9223372036854775807ll && error == RangeError && *__error_nid_postfix() == RangeError, "_Stolx overflow past the unsigned range");
|
|
error = 99;
|
|
*__error_nid_postfix() = 0;
|
|
Require(_Stoulx_nid_postfix("-1", &end, 0, &error) == 18446744073709551615ull && error == 0, "_Stoulx wraps a negative value");
|
|
Require(_Stoullx_nid_postfix("-18446744073709551615", &end, 10, &error) == 1 && error == 0 && *__error_nid_postfix() == 0, "_Stoullx wraps a negated maximum");
|
|
Require(_Stoullx_nid_postfix("18446744073709551616", &end, 10, &error) == 18446744073709551615ull && error == RangeError && *__error_nid_postfix() == RangeError, "_Stoullx overflow");
|
|
}
|
|
|
|
void TestDoubleHelpers() {
|
|
const double e = 0x1.5bf0a8b145769p+1;
|
|
CheckExp(1.0, 1.0, 0, e, Finite, 0, 0, "_Exp e");
|
|
CheckExp(0.0, 1.0, 0, 1.0, Finite, 0, 0, "_Exp zero exponent");
|
|
CheckExp(0.0, 5.0, 0, 5.0, Finite, 0, 0, "_Exp multiplier at zero exponent");
|
|
CheckExp(1.0, -0.0, 0, -0.0, Zero, 0, 0, "_Exp keeps a negative zero multiplier");
|
|
CheckExp(1.0, 0.0, 0, 0.0, Zero, 0, 0, "_Exp zero multiplier");
|
|
CheckExp(-1.0, -0.0, 0, -0.0, Zero, 0, 0, "_Exp negative zero multiplier");
|
|
CheckExp(INFINITY, -0.0, 0, std::numeric_limits<double>::quiet_NaN(), NotANumber, EDOM, FE_INVALID, "_Exp positive infinity with zero multiplier is invalid");
|
|
CheckExp(INFINITY, 0.0, 0, std::numeric_limits<double>::quiet_NaN(), NotANumber, EDOM, FE_INVALID, "_Exp positive infinity with positive zero is invalid");
|
|
CheckExp(INFINITY, 1.0, 0, INFINITY, Infinite, 0, 0, "_Exp positive infinity");
|
|
CheckExp(INFINITY, -1.0, 0, -INFINITY, Infinite, 0, 0, "_Exp positive infinity preserves the multiplier sign");
|
|
CheckExp(INFINITY, INFINITY, 0, INFINITY, Infinite, 0, 0, "_Exp positive infinity with infinite multiplier");
|
|
CheckExp(INFINITY, -INFINITY, 0, -INFINITY, Infinite, 0, 0, "_Exp positive infinity with negative infinite multiplier");
|
|
CheckExp(-INFINITY, 1.0, 0, 0.0, Zero, 0, 0, "_Exp negative infinity");
|
|
CheckExp(-INFINITY, -1.0, 0, -0.0, Zero, 0, 0, "_Exp negative infinity preserves the multiplier sign");
|
|
CheckExp(-INFINITY, 0.0, 0, 0.0, Zero, 0, 0, "_Exp negative infinity with positive zero");
|
|
CheckExp(-INFINITY, -0.0, 0, -0.0, Zero, 0, 0, "_Exp negative infinity with negative zero");
|
|
CheckExp(-INFINITY, INFINITY, 0, std::numeric_limits<double>::quiet_NaN(), NotANumber, EDOM, FE_INVALID, "_Exp negative infinity with infinite multiplier is invalid");
|
|
CheckExp(-INFINITY, -INFINITY, 0, std::numeric_limits<double>::quiet_NaN(), NotANumber, EDOM, FE_INVALID, "_Exp negative infinity with negative infinite multiplier is invalid");
|
|
CheckExp(0.0, INFINITY, 0, INFINITY, Infinite, 0, 0, "_Exp zero exponent with infinite multiplier");
|
|
CheckExp(0.0, -INFINITY, 0, -INFINITY, Infinite, 0, 0, "_Exp zero exponent with negative infinite multiplier");
|
|
CheckExp(1.0, INFINITY, 0, INFINITY, Infinite, 0, 0, "_Exp finite exponent with infinite multiplier");
|
|
CheckExp(1.0, -INFINITY, 0, -INFINITY, Infinite, 0, 0, "_Exp finite exponent with negative infinite multiplier");
|
|
CheckExp(1.0, std::numeric_limits<double>::quiet_NaN(), 0, 1.0, NotANumber, 0, 0, "_Exp NaN multiplier leaves the exponent");
|
|
CheckExp(INFINITY, std::numeric_limits<double>::quiet_NaN(), 0, INFINITY, NotANumber, 0, 0, "_Exp NaN multiplier leaves an infinite exponent");
|
|
CheckExp(std::numeric_limits<double>::quiet_NaN(), 0.0, 0, std::numeric_limits<double>::quiet_NaN(), NotANumber, 0, 0, "_Exp NaN exponent with zero multiplier");
|
|
CheckExp(std::numeric_limits<double>::quiet_NaN(), 1.0, 0, std::numeric_limits<double>::quiet_NaN(), NotANumber, 0, 0, "_Exp NaN exponent");
|
|
CheckExp(std::numeric_limits<double>::quiet_NaN(), INFINITY, 0, std::numeric_limits<double>::quiet_NaN(), NotANumber, 0, 0, "_Exp NaN exponent with infinite multiplier");
|
|
CheckExp(1843.0, 1.0, 0, INFINITY, Infinite, ERANGE, FE_OVERFLOW | FE_INEXACT, "_Exp positive cutoff");
|
|
CheckExp(1843.0, -1.0, 0, -INFINITY, Infinite, ERANGE, FE_OVERFLOW | FE_INEXACT, "_Exp positive cutoff preserves the multiplier sign");
|
|
CheckExp(1843.0, 1.0, -2660, INFINITY, Infinite, ERANGE, FE_OVERFLOW | FE_INEXACT, "_Exp positive cutoff ignores a compensating offset");
|
|
CheckExp(-1843.0, 1.0, 0, 0.0, Zero, 0, 0, "_Exp negative cutoff");
|
|
CheckExp(-1843.0, -1.0, 0, -0.0, Zero, 0, 0, "_Exp negative cutoff preserves the multiplier sign");
|
|
CheckExp(-1843.0, 1.0, 2660, 0.0, Zero, 0, 0, "_Exp negative cutoff ignores a compensating offset");
|
|
CheckExp(1843.0, 0.0, 0, 0.0, Zero, 0, 0, "_Exp positive cutoff with zero multiplier");
|
|
CheckExp(1843.0, std::numeric_limits<double>::quiet_NaN(), 0, 1843.0, NotANumber, 0, 0, "_Exp positive cutoff with NaN multiplier");
|
|
CheckExp(0.0, 1.0, -1074, std::numeric_limits<double>::denorm_min(), Finite, 0, 0, "_Exp exact minimum subnormal");
|
|
CheckExp(0.0, 1.0, -1075, 0.0, Zero, ERANGE, FE_UNDERFLOW | FE_INEXACT, "_Exp scaled underflow");
|
|
CheckExp(0.0, -1.0, -1075, -0.0, Zero, ERANGE, FE_UNDERFLOW | FE_INEXACT, "_Exp scaled underflow preserves the multiplier sign");
|
|
CheckExp(0.0, 1.0, 100, std::scalbn(1.0, 100), Finite, 0, 0, "_Exp scaled finite result");
|
|
CheckExp(0.0, 1.0, 2000, INFINITY, Infinite, ERANGE, FE_OVERFLOW | FE_INEXACT, "_Exp scaled overflow");
|
|
CheckExp(1842.0, 1.0, 0, INFINITY, Infinite, ERANGE, FE_OVERFLOW | FE_INEXACT, "_Exp inside the positive cutoff overflows");
|
|
CheckExp(-1842.0, 1.0, 0, 0.0, Zero, ERANGE, FE_UNDERFLOW | FE_INEXACT, "_Exp inside the negative cutoff underflows");
|
|
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
double result = 1.0;
|
|
Require(_Exp_nid_postfix(&result, 3.0, 0) == Finite && std::fabs(result - 3.0 * e) <= 3.0 * e * 1e-14, "_Exp multiplier");
|
|
result = 1.0;
|
|
Require(_Exp_nid_postfix(&result, -2.0, 0) == Finite && std::fabs(result + 2.0 * e) <= 2.0 * e * 1e-14, "_Exp negative multiplier");
|
|
result = 1.0;
|
|
Require(_Exp_nid_postfix(&result, 1.0, 10) == Finite && std::fabs(result - e * 1024.0) <= e * 1024.0 * 1e-14, "_Exp scale");
|
|
for (int i = -200; i <= 200; ++i) {
|
|
const double x = static_cast<double>(i) / 16.0;
|
|
result = x;
|
|
Require(_Exp_nid_postfix(&result, 1.0, 0) == Finite && std::fabs(result - std::exp(x)) <= std::fabs(std::exp(x)) * 1e-13, "_Exp finite sweep");
|
|
}
|
|
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
result = 1.0;
|
|
Require(_Exp_nid_postfix(&result, std::numeric_limits<double>::denorm_min(), 0) == Finite && std::fpclassify(result) == FP_SUBNORMAL && errno == 0 && std::fetestexcept(FE_ALL_EXCEPT) == 0, "_Exp subnormal result classification");
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
result = -740.0;
|
|
Require(_Exp_nid_postfix(&result, 1.0, 0) == Finite && std::fpclassify(result) == FP_SUBNORMAL && errno == 0 && std::fetestexcept(FE_ALL_EXCEPT) == 0, "_Exp negative exponent subnormal result");
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
result = 1.0;
|
|
Require(_Exp_nid_postfix(&result, std::numeric_limits<double>::max(), 0) == Infinite && std::isinf(result) && errno == ERANGE && (std::fetestexcept(FE_ALL_EXCEPT) & (FE_OVERFLOW | FE_INEXACT)) == (FE_OVERFLOW | FE_INEXACT), "_Exp finite multiplier overflow");
|
|
|
|
const double largeExpected = std::scalbn(std::exp(710.0 - 1024.0 * std::log(2.0)) * 1e-100, 1024);
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
result = 710.0;
|
|
Require(_Exp_nid_postfix(&result, 1e-100, 0) == Finite && std::isfinite(result) && std::fabs(result - largeExpected) <= largeExpected * 1e-13 && errno == 0 && (std::fetestexcept(FE_ALL_EXCEPT) & (FE_OVERFLOW | FE_UNDERFLOW)) == 0, "_Exp large exponent stays finite");
|
|
const double smallExpected = std::scalbn(std::exp(-710.0 + 1024.0 * std::log(2.0)) * 1e300, -1024);
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
result = -710.0;
|
|
Require(_Exp_nid_postfix(&result, 1e300, 0) == Finite && std::isfinite(result) && std::fabs(result - smallExpected) <= smallExpected * 1e-13 && errno == 0 && (std::fetestexcept(FE_ALL_EXCEPT) & (FE_OVERFLOW | FE_UNDERFLOW)) == 0, "_Exp small exponent stays finite");
|
|
const double multiplierExpected = std::exp(-0.5) * std::numeric_limits<double>::max();
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
result = -0.5;
|
|
Require(_Exp_nid_postfix(&result, std::numeric_limits<double>::max(), 0) == Finite && std::isfinite(result) && std::fabs(result - multiplierExpected) <= multiplierExpected * 1e-13 && errno == 0 && (std::fetestexcept(FE_ALL_EXCEPT) & (FE_OVERFLOW | FE_UNDERFLOW)) == 0, "_Exp large multiplier stays finite");
|
|
|
|
const float ef = 0x1.5bf0a8p+1f;
|
|
CheckFExp(1.0f, 1.0f, 0, ef, Finite, 0, 0, "_FExp e");
|
|
CheckFExp(0.0f, 1.0f, 0, 1.0f, Finite, 0, 0, "_FExp zero exponent");
|
|
CheckFExp(0.0f, 5.0f, 0, 5.0f, Finite, 0, 0, "_FExp multiplier at zero exponent");
|
|
CheckFExp(1.0f, -0.0f, 0, -0.0f, Zero, 0, 0, "_FExp keeps a negative zero multiplier");
|
|
CheckFExp(1.0f, 0.0f, 0, 0.0f, Zero, 0, 0, "_FExp zero multiplier");
|
|
CheckFExp(-1.0f, -0.0f, 0, -0.0f, Zero, 0, 0, "_FExp negative zero multiplier");
|
|
CheckFExp(INFINITY, -0.0f, 0, std::numeric_limits<float>::quiet_NaN(), NotANumber, EDOM, FE_INVALID, "_FExp positive infinity with zero multiplier is invalid");
|
|
CheckFExp(INFINITY, 0.0f, 0, std::numeric_limits<float>::quiet_NaN(), NotANumber, EDOM, FE_INVALID, "_FExp positive infinity with positive zero is invalid");
|
|
CheckFExp(INFINITY, 1.0f, 0, INFINITY, Infinite, 0, 0, "_FExp positive infinity");
|
|
CheckFExp(INFINITY, -1.0f, 0, -INFINITY, Infinite, 0, 0, "_FExp positive infinity preserves the multiplier sign");
|
|
CheckFExp(INFINITY, INFINITY, 0, INFINITY, Infinite, 0, 0, "_FExp positive infinity with infinite multiplier");
|
|
CheckFExp(INFINITY, -INFINITY, 0, -INFINITY, Infinite, 0, 0, "_FExp positive infinity with negative infinite multiplier");
|
|
CheckFExp(-INFINITY, 1.0f, 0, 0.0f, Zero, 0, 0, "_FExp negative infinity");
|
|
CheckFExp(-INFINITY, -1.0f, 0, -0.0f, Zero, 0, 0, "_FExp negative infinity preserves the multiplier sign");
|
|
CheckFExp(-INFINITY, 0.0f, 0, 0.0f, Zero, 0, 0, "_FExp negative infinity with positive zero");
|
|
CheckFExp(-INFINITY, -0.0f, 0, -0.0f, Zero, 0, 0, "_FExp negative infinity with negative zero");
|
|
CheckFExp(-INFINITY, INFINITY, 0, std::numeric_limits<float>::quiet_NaN(), NotANumber, EDOM, FE_INVALID, "_FExp negative infinity with infinite multiplier is invalid");
|
|
CheckFExp(-INFINITY, -INFINITY, 0, std::numeric_limits<float>::quiet_NaN(), NotANumber, EDOM, FE_INVALID, "_FExp negative infinity with negative infinite multiplier is invalid");
|
|
CheckFExp(0.0f, INFINITY, 0, INFINITY, Infinite, 0, 0, "_FExp zero exponent with infinite multiplier");
|
|
CheckFExp(0.0f, -INFINITY, 0, -INFINITY, Infinite, 0, 0, "_FExp zero exponent with negative infinite multiplier");
|
|
CheckFExp(1.0f, INFINITY, 0, INFINITY, Infinite, 0, 0, "_FExp finite exponent with infinite multiplier");
|
|
CheckFExp(1.0f, -INFINITY, 0, -INFINITY, Infinite, 0, 0, "_FExp finite exponent with negative infinite multiplier");
|
|
CheckFExp(1.0f, std::numeric_limits<float>::quiet_NaN(), 0, 1.0f, NotANumber, 0, 0, "_FExp NaN multiplier leaves the exponent");
|
|
CheckFExp(INFINITY, std::numeric_limits<float>::quiet_NaN(), 0, INFINITY, NotANumber, 0, 0, "_FExp NaN multiplier leaves an infinite exponent");
|
|
CheckFExp(std::numeric_limits<float>::quiet_NaN(), 0.0f, 0, std::numeric_limits<float>::quiet_NaN(), NotANumber, 0, 0, "_FExp NaN exponent with zero multiplier");
|
|
CheckFExp(std::numeric_limits<float>::quiet_NaN(), 1.0f, 0, std::numeric_limits<float>::quiet_NaN(), NotANumber, 0, 0, "_FExp NaN exponent");
|
|
CheckFExp(std::numeric_limits<float>::quiet_NaN(), INFINITY, 0, std::numeric_limits<float>::quiet_NaN(), NotANumber, 0, 0, "_FExp NaN exponent with infinite multiplier");
|
|
CheckFExp(230.0f, 1.0f, 0, INFINITY, Infinite, ERANGE, FE_OVERFLOW | FE_INEXACT, "_FExp positive cutoff");
|
|
CheckFExp(230.0f, -1.0f, 0, -INFINITY, Infinite, ERANGE, FE_OVERFLOW | FE_INEXACT, "_FExp positive cutoff preserves the multiplier sign");
|
|
CheckFExp(230.0f, 1.0f, -332, INFINITY, Infinite, ERANGE, FE_OVERFLOW | FE_INEXACT, "_FExp positive cutoff ignores the offset");
|
|
CheckFExp(-230.0f, 1.0f, 0, 0.0f, Zero, 0, 0, "_FExp negative cutoff");
|
|
CheckFExp(-230.0f, -1.0f, 0, -0.0f, Zero, 0, 0, "_FExp negative cutoff preserves the multiplier sign");
|
|
CheckFExp(-230.0f, 1.0f, 332, 0.0f, Zero, 0, 0, "_FExp negative cutoff ignores the offset");
|
|
CheckFExp(230.0f, 0.0f, 0, 0.0f, Zero, 0, 0, "_FExp positive cutoff with zero multiplier");
|
|
CheckFExp(230.0f, std::numeric_limits<float>::quiet_NaN(), 0, 230.0f, NotANumber, 0, 0, "_FExp positive cutoff with NaN multiplier");
|
|
CheckFExp(0.0f, 1.0f, -149, std::numeric_limits<float>::denorm_min(), Finite, 0, 0, "_FExp exact minimum subnormal");
|
|
CheckFExp(0.0f, 1.0f, -150, 0.0f, Zero, ERANGE, FE_UNDERFLOW | FE_INEXACT, "_FExp scaled underflow");
|
|
CheckFExp(0.0f, -1.0f, -150, -0.0f, Zero, ERANGE, FE_UNDERFLOW | FE_INEXACT, "_FExp scaled underflow preserves the multiplier sign");
|
|
CheckFExp(0.0f, 1.0f, 100, std::scalbn(1.0f, 100), Finite, 0, 0, "_FExp scaled finite result");
|
|
CheckFExp(0.0f, 1.0f, 200, INFINITY, Infinite, ERANGE, FE_OVERFLOW | FE_INEXACT, "_FExp scaled overflow");
|
|
CheckFExp(229.0f, 1.0f, 0, INFINITY, Infinite, ERANGE, FE_OVERFLOW | FE_INEXACT, "_FExp inside the positive cutoff overflows");
|
|
CheckFExp(-229.0f, 1.0f, 0, 0.0f, Zero, ERANGE, FE_UNDERFLOW | FE_INEXACT, "_FExp inside the negative cutoff underflows");
|
|
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
float resultf = 1.0f;
|
|
Require(_FExp_nid_postfix(&resultf, 3.0f, 0) == Finite && std::fabs(resultf - 3.0f * ef) <= 3.0f * ef * 1e-6f, "_FExp multiplier");
|
|
resultf = 1.0f;
|
|
Require(_FExp_nid_postfix(&resultf, -2.0f, 0) == Finite && std::fabs(resultf + 2.0f * ef) <= 2.0f * ef * 1e-6f, "_FExp negative multiplier");
|
|
resultf = 1.0f;
|
|
Require(_FExp_nid_postfix(&resultf, 1.0f, 10) == Finite && std::fabs(resultf - ef * 1024.0f) <= ef * 1024.0f * 1e-6f, "_FExp scale");
|
|
for (int i = -120; i <= 120; ++i) {
|
|
const float x = static_cast<float>(i) / 16.0f;
|
|
resultf = x;
|
|
Require(_FExp_nid_postfix(&resultf, 1.0f, 0) == Finite && std::fabs(resultf - std::exp(x)) <= std::fabs(std::exp(x)) * 1e-6f, "_FExp finite sweep");
|
|
}
|
|
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
resultf = 1.0f;
|
|
Require(_FExp_nid_postfix(&resultf, std::numeric_limits<float>::denorm_min(), 0) == Finite && std::fpclassify(resultf) == FP_SUBNORMAL && errno == 0 && std::fetestexcept(FE_ALL_EXCEPT) == 0, "_FExp subnormal result classification");
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
resultf = -100.0f;
|
|
Require(_FExp_nid_postfix(&resultf, 1.0f, 0) == Finite && std::fpclassify(resultf) == FP_SUBNORMAL && errno == 0 && std::fetestexcept(FE_ALL_EXCEPT) == 0, "_FExp negative exponent subnormal result");
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
resultf = 1.0f;
|
|
Require(_FExp_nid_postfix(&resultf, std::numeric_limits<float>::max(), 0) == Infinite && std::isinf(resultf) && errno == ERANGE && (std::fetestexcept(FE_ALL_EXCEPT) & (FE_OVERFLOW | FE_INEXACT)) == (FE_OVERFLOW | FE_INEXACT), "_FExp finite multiplier overflow");
|
|
|
|
const float largeExpectedf = static_cast<float>(std::exp(100.0) * 1e-35);
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
resultf = 100.0f;
|
|
Require(_FExp_nid_postfix(&resultf, 1e-35f, 0) == Finite && std::isfinite(resultf) && std::fabs(resultf - largeExpectedf) <= largeExpectedf * 1e-6f && errno == 0 && (std::fetestexcept(FE_ALL_EXCEPT) & (FE_OVERFLOW | FE_UNDERFLOW)) == 0, "_FExp large exponent stays finite");
|
|
const float smallExpectedf = static_cast<float>(std::exp(-100.0) * 1e30);
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
resultf = -100.0f;
|
|
Require(_FExp_nid_postfix(&resultf, 1e30f, 0) == Finite && std::isfinite(resultf) && std::fabs(resultf - smallExpectedf) <= smallExpectedf * 1e-6f && errno == 0 && (std::fetestexcept(FE_ALL_EXCEPT) & (FE_OVERFLOW | FE_UNDERFLOW)) == 0, "_FExp small exponent stays finite");
|
|
const float multiplierExpectedf = static_cast<float>(std::exp(-0.5) * std::numeric_limits<float>::max());
|
|
errno = 0;
|
|
std::feclearexcept(FE_ALL_EXCEPT);
|
|
resultf = -0.5f;
|
|
Require(_FExp_nid_postfix(&resultf, std::numeric_limits<float>::max(), 0) == Finite && std::isfinite(resultf) && std::fabs(resultf - multiplierExpectedf) <= multiplierExpectedf * 1e-6f && errno == 0 && (std::fetestexcept(FE_ALL_EXCEPT) & (FE_OVERFLOW | FE_UNDERFLOW)) == 0, "_FExp large multiplier stays finite");
|
|
}
|
|
|
|
void TestDispatch() {
|
|
Require(_Sin_nid_postfix(0.5, 0) == std::sin(0.5) && _Sin_nid_postfix(0.5, 1) == std::cos(0.5) && _Sin_nid_postfix(0.5, 7) == std::cos(0.5), "_Sin");
|
|
Require(_FSin_nid_postfix(0.5f, 0) == std::sin(0.5f) && _FSin_nid_postfix(0.5f, 2) == std::cos(0.5f), "_FSin");
|
|
Require(_LSin_nid_postfix(0.5L, 0) == std::sin(0.5L) && _LSin_nid_postfix(0.5L, 3) == std::cos(0.5L), "_LSin");
|
|
Require(_Log_nid_postfix(8.0, 0) == std::log(8.0) && _Log_nid_postfix(1000.0, 1) == 3.0 && _Log_nid_postfix(1000.0, 5) == 3.0 && _Log_nid_postfix(8.0, -1) == 3.0, "_Log");
|
|
Require(_FLog_nid_postfix(8.0f, 0) == std::log(8.0f) && _FLog_nid_postfix(100.0f, 1) == 2.0f && _FLog_nid_postfix(8.0f, -3) == 3.0f, "_FLog");
|
|
}
|
|
|
|
void TestLongDoubleHelpers() {
|
|
Require(_LDivide_nid_postfix(3.0L, 2.0L) == 1.5L, "_LDivide quotient");
|
|
Require(std::isinf(_LDivide_nid_postfix(1.0L, 0.0L)), "_LDivide infinity");
|
|
Require(std::isnan(_LDivide_nid_postfix(0.0L, 0.0L)), "_LDivide invalid");
|
|
Require(_LRecip_nid_postfix(4.0L) == 0.25L, "_LRecip quotient");
|
|
Require(std::isinf(_LRecip_nid_postfix(-0.0L)) && std::signbit(_LRecip_nid_postfix(-0.0L)), "_LRecip signed infinity");
|
|
Require(_LLog_nid_postfix(8.0L, 0) == std::log(8.0L), "_LLog natural");
|
|
Require(std::fabs(_LLog_nid_postfix(1000.0L, 1) - 3.0L) <= 1e-17L && std::fabs(_LLog_nid_postfix(1000.0L, 5) - 3.0L) <= 1e-17L, "_LLog base 10");
|
|
Require(_LLog_nid_postfix(8.0L, -1) == 3.0L && _LLog_nid_postfix(8.0L, -3) == 3.0L, "_LLog base 2");
|
|
}
|
|
|
|
}
|
|
|
|
int main() {
|
|
TestStod();
|
|
TestStoll();
|
|
TestDoubleHelpers();
|
|
TestFloatErrors();
|
|
TestIntegerErrors();
|
|
TestArithmetic();
|
|
TestDispatch();
|
|
TestLongDoubleHelpers();
|
|
}
|