diff options
Diffstat (limited to 'third_party/simde/simde/simde-math.h')
| -rw-r--r-- | third_party/simde/simde/simde-math.h | 1969 |
1 files changed, 1969 insertions, 0 deletions
diff --git a/third_party/simde/simde/simde-math.h b/third_party/simde/simde/simde-math.h new file mode 100644 index 0000000000..c86f84d93a --- /dev/null +++ b/third_party/simde/simde/simde-math.h @@ -0,0 +1,1969 @@ +/* SPDX-License-Identifier: MIT + * + * Permission is hereby granted, free of charge, to any person + * obtaining a copy of this software and associated documentation + * files (the "Software"), to deal in the Software without + * restriction, including without limitation the rights to use, copy, + * modify, merge, publish, distribute, sublicense, and/or sell copies + * of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be + * included in all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, + * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF + * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND + * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS + * BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN + * ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN + * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. + * + * Copyright: + * 2017-2020 Evan Nemerson <evan@nemerson.com> + */ + +/* Attempt to find math functions. Functions may be in <cmath>, + * <math.h>, compiler built-ins/intrinsics, or platform/architecture + * specific headers. In some cases, especially those not built in to + * libm, we may need to define our own implementations. */ + +#if !defined(SIMDE_MATH_H) +#define SIMDE_MATH_H 1 + +#include "hedley.h" +#include "simde-features.h" + +#include <stdint.h> +#if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + #include <arm_neon.h> +#endif + +HEDLEY_DIAGNOSTIC_PUSH +SIMDE_DISABLE_UNWANTED_DIAGNOSTICS + +/* SLEEF support + * https://sleef.org/ + * + * If you include <sleef.h> prior to including SIMDe, SIMDe will use + * SLEEF. You can also define SIMDE_MATH_SLEEF_ENABLE prior to + * including SIMDe to force the issue. + * + * Note that SLEEF does requires linking to libsleef. + * + * By default, SIMDe will use the 1 ULP functions, but if you use + * SIMDE_ACCURACY_PREFERENCE of 0 we will use up to 4 ULP. This is + * only the case for the simde_math_* functions; for code in other + * SIMDe headers which calls SLEEF directly we may use functions with + * greater error if the API we're implementing is less precise (for + * example, SVML guarantees 4 ULP, so we will generally use the 3.5 + * ULP functions from SLEEF). */ +#if !defined(SIMDE_MATH_SLEEF_DISABLE) + #if defined(__SLEEF_H__) + #define SIMDE_MATH_SLEEF_ENABLE + #endif +#endif + +#if defined(SIMDE_MATH_SLEEF_ENABLE) && !defined(__SLEEF_H__) + HEDLEY_DIAGNOSTIC_PUSH + SIMDE_DIAGNOSTIC_DISABLE_IGNORED_QUALIFIERS_ + #include <sleef.h> + HEDLEY_DIAGNOSTIC_POP +#endif + +#if defined(SIMDE_MATH_SLEEF_ENABLE) && defined(__SLEEF_H__) + #if defined(SLEEF_VERSION_MAJOR) + #define SIMDE_MATH_SLEEF_VERSION_CHECK(major, minor, patch) (HEDLEY_VERSION_ENCODE(SLEEF_VERSION_MAJOR, SLEEF_VERSION_MINOR, SLEEF_VERSION_PATCHLEVEL) >= HEDLEY_VERSION_ENCODE(major, minor, patch)) + #else + #define SIMDE_MATH_SLEEF_VERSION_CHECK(major, minor, patch) (HEDLEY_VERSION_ENCODE(3,0,0) >= HEDLEY_VERSION_ENCODE(major, minor, patch)) + #endif +#else + #define SIMDE_MATH_SLEEF_VERSION_CHECK(major, minor, patch) (0) +#endif + +#if defined(__has_builtin) + #define SIMDE_MATH_BUILTIN_LIBM(func) __has_builtin(__builtin_##func) +#elif \ + HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \ + HEDLEY_ARM_VERSION_CHECK(4,1,0) || \ + HEDLEY_GCC_VERSION_CHECK(4,4,0) + #define SIMDE_MATH_BUILTIN_LIBM(func) (1) +#else + #define SIMDE_MATH_BUILTIN_LIBM(func) (0) +#endif + +#if defined(HUGE_VAL) + /* Looks like <math.h> or <cmath> has already been included. */ + + /* The math.h from libc++ (yes, the C header from the C++ standard + * library) will define an isnan function, but not an isnan macro + * like the C standard requires. So we detect the header guards + * macro libc++ uses. */ + #if defined(isnan) || (defined(_LIBCPP_MATH_H) && !defined(_LIBCPP_CMATH)) + #define SIMDE_MATH_HAVE_MATH_H + #elif defined(__cplusplus) + #define SIMDE_MATH_HAVE_CMATH + #endif +#elif defined(__has_include) + #if defined(__cplusplus) && (__cplusplus >= 201103L) && __has_include(<cmath>) + #define SIMDE_MATH_HAVE_CMATH + #include <cmath> + #elif __has_include(<math.h>) + #define SIMDE_MATH_HAVE_MATH_H + #include <math.h> + #elif !defined(SIMDE_MATH_NO_LIBM) + #define SIMDE_MATH_NO_LIBM + #endif +#elif !defined(SIMDE_MATH_NO_LIBM) + #if defined(__cplusplus) && (__cplusplus >= 201103L) + #define SIMDE_MATH_HAVE_CMATH + HEDLEY_DIAGNOSTIC_PUSH + #if defined(HEDLEY_MSVC_VERSION) + /* VS 14 emits this diagnostic about noexcept being used on a + * <cmath> function, which we can't do anything about. */ + #pragma warning(disable:4996) + #endif + #include <cmath> + HEDLEY_DIAGNOSTIC_POP + #else + #define SIMDE_MATH_HAVE_MATH_H + #include <math.h> + #endif +#endif + +#if !defined(SIMDE_MATH_INFINITY) + #if \ + HEDLEY_HAS_BUILTIN(__builtin_inf) || \ + HEDLEY_GCC_VERSION_CHECK(3,3,0) || \ + HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \ + HEDLEY_ARM_VERSION_CHECK(4,1,0) || \ + HEDLEY_CRAY_VERSION_CHECK(8,1,0) + #define SIMDE_MATH_INFINITY (__builtin_inf()) + #elif defined(INFINITY) + #define SIMDE_MATH_INFINITY INFINITY + #endif +#endif + +#if !defined(SIMDE_INFINITYF) + #if \ + HEDLEY_HAS_BUILTIN(__builtin_inff) || \ + HEDLEY_GCC_VERSION_CHECK(3,3,0) || \ + HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \ + HEDLEY_CRAY_VERSION_CHECK(8,1,0) || \ + HEDLEY_IBM_VERSION_CHECK(13,1,0) + #define SIMDE_MATH_INFINITYF (__builtin_inff()) + #elif defined(INFINITYF) + #define SIMDE_MATH_INFINITYF INFINITYF + #elif defined(SIMDE_MATH_INFINITY) + #define SIMDE_MATH_INFINITYF HEDLEY_STATIC_CAST(float, SIMDE_MATH_INFINITY) + #endif +#endif + +#if !defined(SIMDE_MATH_NAN) + #if \ + HEDLEY_HAS_BUILTIN(__builtin_nan) || \ + HEDLEY_GCC_VERSION_CHECK(3,3,0) || \ + HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \ + HEDLEY_ARM_VERSION_CHECK(4,1,0) || \ + HEDLEY_CRAY_VERSION_CHECK(8,1,0) || \ + HEDLEY_IBM_VERSION_CHECK(13,1,0) + #define SIMDE_MATH_NAN (__builtin_nan("")) + #elif defined(NAN) + #define SIMDE_MATH_NAN NAN + #endif +#endif + +#if !defined(SIMDE_NANF) + #if \ + HEDLEY_HAS_BUILTIN(__builtin_nanf) || \ + HEDLEY_GCC_VERSION_CHECK(3,3,0) || \ + HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \ + HEDLEY_ARM_VERSION_CHECK(4,1,0) || \ + HEDLEY_CRAY_VERSION_CHECK(8,1,0) + #define SIMDE_MATH_NANF (__builtin_nanf("")) + #elif defined(NANF) + #define SIMDE_MATH_NANF NANF + #elif defined(SIMDE_MATH_NAN) + #define SIMDE_MATH_NANF HEDLEY_STATIC_CAST(float, SIMDE_MATH_NAN) + #endif +#endif + +#if !defined(SIMDE_MATH_PI) + #if defined(M_PI) + #define SIMDE_MATH_PI M_PI + #else + #define SIMDE_MATH_PI 3.14159265358979323846 + #endif +#endif + +#if !defined(SIMDE_MATH_PIF) + #if defined(M_PI) + #define SIMDE_MATH_PIF HEDLEY_STATIC_CAST(float, M_PI) + #else + #define SIMDE_MATH_PIF 3.14159265358979323846f + #endif +#endif + +#if !defined(SIMDE_MATH_PI_OVER_180) + #define SIMDE_MATH_PI_OVER_180 0.0174532925199432957692369076848861271344287188854172545609719144 +#endif + +#if !defined(SIMDE_MATH_PI_OVER_180F) + #define SIMDE_MATH_PI_OVER_180F 0.0174532925199432957692369076848861271344287188854172545609719144f +#endif + +#if !defined(SIMDE_MATH_180_OVER_PI) + #define SIMDE_MATH_180_OVER_PI 57.295779513082320876798154814105170332405472466564321549160243861 +#endif + +#if !defined(SIMDE_MATH_180_OVER_PIF) + #define SIMDE_MATH_180_OVER_PIF 57.295779513082320876798154814105170332405472466564321549160243861f +#endif + +#if !defined(SIMDE_MATH_FLT_MIN) + #if defined(__FLT_MIN__) + #define SIMDE_MATH_FLT_MIN __FLT_MIN__ + #else + #if !defined(FLT_MIN) + #if defined(__cplusplus) + #include <cfloat> + #else + #include <float.h> + #endif + #endif + #define SIMDE_MATH_FLT_MIN FLT_MIN + #endif +#endif + +#if !defined(SIMDE_MATH_FLT_MAX) + #if defined(__FLT_MAX__) + #define SIMDE_MATH_FLT_MAX __FLT_MAX__ + #else + #if !defined(FLT_MAX) + #if defined(__cplusplus) + #include <cfloat> + #else + #include <float.h> + #endif + #endif + #define SIMDE_MATH_FLT_MAX FLT_MAX + #endif +#endif + +#if !defined(SIMDE_MATH_DBL_MIN) + #if defined(__DBL_MIN__) + #define SIMDE_MATH_DBL_MIN __DBL_MIN__ + #else + #if !defined(DBL_MIN) + #if defined(__cplusplus) + #include <cfloat> + #else + #include <float.h> + #endif + #endif + #define SIMDE_MATH_DBL_MIN DBL_MIN + #endif +#endif + +#if !defined(SIMDE_MATH_DBL_MAX) + #if defined(__DBL_MAX__) + #define SIMDE_MATH_DBL_MAX __DBL_MAX__ + #else + #if !defined(DBL_MAX) + #if defined(__cplusplus) + #include <cfloat> + #else + #include <float.h> + #endif + #endif + #define SIMDE_MATH_DBL_MAX DBL_MAX + #endif +#endif + +/*** Classification macros from C99 ***/ + +#if !defined(simde_math_isinf) + #if SIMDE_MATH_BUILTIN_LIBM(isinf) + #define simde_math_isinf(v) __builtin_isinf(v) + #elif defined(isinf) || defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_isinf(v) isinf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_isinf(v) std::isinf(v) + #endif +#endif + +#if !defined(simde_math_isinff) + #if HEDLEY_HAS_BUILTIN(__builtin_isinff) || \ + HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \ + HEDLEY_ARM_VERSION_CHECK(4,1,0) + #define simde_math_isinff(v) __builtin_isinff(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_isinff(v) std::isinf(v) + #elif defined(simde_math_isinf) + #define simde_math_isinff(v) simde_math_isinf(HEDLEY_STATIC_CAST(double, v)) + #endif +#endif + +#if !defined(simde_math_isnan) + #if SIMDE_MATH_BUILTIN_LIBM(isnan) + #define simde_math_isnan(v) __builtin_isnan(v) + #elif defined(isnan) || defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_isnan(v) isnan(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_isnan(v) std::isnan(v) + #endif +#endif + +#if !defined(simde_math_isnanf) + #if HEDLEY_HAS_BUILTIN(__builtin_isnanf) || \ + HEDLEY_INTEL_VERSION_CHECK(13,0,0) || \ + HEDLEY_ARM_VERSION_CHECK(4,1,0) + /* XL C/C++ has __builtin_isnan but not __builtin_isnanf */ + #define simde_math_isnanf(v) __builtin_isnanf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_isnanf(v) std::isnan(v) + #elif defined(simde_math_isnan) + #define simde_math_isnanf(v) simde_math_isnan(HEDLEY_STATIC_CAST(double, v)) + #endif +#endif + +#if !defined(simde_math_isnormal) + #if SIMDE_MATH_BUILTIN_LIBM(isnormal) + #define simde_math_isnormal(v) __builtin_isnormal(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_isnormal(v) isnormal(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_isnormal(v) std::isnormal(v) + #endif +#endif + +#if !defined(simde_math_isnormalf) + #if HEDLEY_HAS_BUILTIN(__builtin_isnormalf) + #define simde_math_isnormalf(v) __builtin_isnormalf(v) + #elif SIMDE_MATH_BUILTIN_LIBM(isnormal) + #define simde_math_isnormalf(v) __builtin_isnormal(v) + #elif defined(isnormalf) + #define simde_math_isnormalf(v) isnormalf(v) + #elif defined(isnormal) || defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_isnormalf(v) isnormal(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_isnormalf(v) std::isnormal(v) + #elif defined(simde_math_isnormal) + #define simde_math_isnormalf(v) simde_math_isnormal(v) + #endif +#endif + +#if !defined(simde_math_issubnormalf) + #if SIMDE_MATH_BUILTIN_LIBM(fpclassify) + #define simde_math_issubnormalf(v) __builtin_fpclassify(0, 0, 0, 1, 0, v) + #elif defined(fpclassify) + #define simde_math_issubnormalf(v) (fpclassify(v) == FP_SUBNORMAL) + #elif defined(SIMDE_IEEE754_STORAGE) + #define simde_math_issubnormalf(v) (((simde_float32_as_uint32(v) & UINT32_C(0x7F800000)) == UINT32_C(0)) && ((simde_float32_as_uint32(v) & UINT32_C(0x007FFFFF)) != UINT32_C(0))) + #endif +#endif + +#if !defined(simde_math_issubnormal) + #if SIMDE_MATH_BUILTIN_LIBM(fpclassify) + #define simde_math_issubnormal(v) __builtin_fpclassify(0, 0, 0, 1, 0, v) + #elif defined(fpclassify) + #define simde_math_issubnormal(v) (fpclassify(v) == FP_SUBNORMAL) + #elif defined(SIMDE_IEEE754_STORAGE) + #define simde_math_issubnormal(v) (((simde_float64_as_uint64(v) & UINT64_C(0x7FF0000000000000)) == UINT64_C(0)) && ((simde_float64_as_uint64(v) & UINT64_C(0x00FFFFFFFFFFFFF)) != UINT64_C(0))) + #endif +#endif + +#if defined(FP_NAN) + #define SIMDE_MATH_FP_NAN FP_NAN +#else + #define SIMDE_MATH_FP_NAN 0 +#endif +#if defined(FP_INFINITE) + #define SIMDE_MATH_FP_INFINITE FP_INFINITE +#else + #define SIMDE_MATH_FP_INFINITE 1 +#endif +#if defined(FP_ZERO) + #define SIMDE_MATH_FP_ZERO FP_ZERO +#else + #define SIMDE_MATH_FP_ZERO 2 +#endif +#if defined(FP_SUBNORMAL) + #define SIMDE_MATH_FP_SUBNORMAL FP_SUBNORMAL +#else + #define SIMDE_MATH_FP_SUBNORMAL 3 +#endif +#if defined(FP_NORMAL) + #define SIMDE_MATH_FP_NORMAL FP_NORMAL +#else + #define SIMDE_MATH_FP_NORMAL 4 +#endif + +static HEDLEY_INLINE +int +simde_math_fpclassifyf(float v) { + #if SIMDE_MATH_BUILTIN_LIBM(fpclassify) + return __builtin_fpclassify(SIMDE_MATH_FP_NAN, SIMDE_MATH_FP_INFINITE, SIMDE_MATH_FP_NORMAL, SIMDE_MATH_FP_SUBNORMAL, SIMDE_MATH_FP_ZERO, v); + #elif defined(fpclassify) + return fpclassify(v); + #else + return + simde_math_isnormalf(v) ? SIMDE_MATH_FP_NORMAL : + (v == 0.0f) ? SIMDE_MATH_FP_ZERO : + simde_math_isnanf(v) ? SIMDE_MATH_FP_NAN : + simde_math_isinff(v) ? SIMDE_MATH_FP_INFINITE : + SIMDE_MATH_FP_SUBNORMAL; + #endif +} + +static HEDLEY_INLINE +int +simde_math_fpclassify(double v) { + #if SIMDE_MATH_BUILTIN_LIBM(fpclassify) + return __builtin_fpclassify(SIMDE_MATH_FP_NAN, SIMDE_MATH_FP_INFINITE, SIMDE_MATH_FP_NORMAL, SIMDE_MATH_FP_SUBNORMAL, SIMDE_MATH_FP_ZERO, v); + #elif defined(fpclassify) + return fpclassify(v); + #else + return + simde_math_isnormal(v) ? SIMDE_MATH_FP_NORMAL : + (v == 0.0) ? SIMDE_MATH_FP_ZERO : + simde_math_isnan(v) ? SIMDE_MATH_FP_NAN : + simde_math_isinf(v) ? SIMDE_MATH_FP_INFINITE : + SIMDE_MATH_FP_SUBNORMAL; + #endif +} + +/*** Manipulation functions ***/ + +#if !defined(simde_math_nextafter) + #if \ + (HEDLEY_HAS_BUILTIN(__builtin_nextafter) && !defined(HEDLEY_IBM_VERSION)) || \ + HEDLEY_ARM_VERSION_CHECK(4,1,0) || \ + HEDLEY_GCC_VERSION_CHECK(3,4,0) || \ + HEDLEY_INTEL_VERSION_CHECK(13,0,0) + #define simde_math_nextafter(x, y) __builtin_nextafter(x, y) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_nextafter(x, y) std::nextafter(x, y) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_nextafter(x, y) nextafter(x, y) + #endif +#endif + +#if !defined(simde_math_nextafterf) + #if \ + (HEDLEY_HAS_BUILTIN(__builtin_nextafterf) && !defined(HEDLEY_IBM_VERSION)) || \ + HEDLEY_ARM_VERSION_CHECK(4,1,0) || \ + HEDLEY_GCC_VERSION_CHECK(3,4,0) || \ + HEDLEY_INTEL_VERSION_CHECK(13,0,0) + #define simde_math_nextafterf(x, y) __builtin_nextafterf(x, y) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_nextafterf(x, y) std::nextafter(x, y) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_nextafterf(x, y) nextafterf(x, y) + #endif +#endif + +/*** Functions from C99 ***/ + +#if !defined(simde_math_abs) + #if SIMDE_MATH_BUILTIN_LIBM(abs) + #define simde_math_abs(v) __builtin_abs(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_abs(v) std::abs(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_abs(v) abs(v) + #endif +#endif + +#if !defined(simde_math_labs) + #if SIMDE_MATH_BUILTIN_LIBM(labs) + #define simde_math_labs(v) __builtin_labs(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_labs(v) std::labs(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_labs(v) labs(v) + #endif +#endif + +#if !defined(simde_math_llabs) + #if SIMDE_MATH_BUILTIN_LIBM(llabs) + #define simde_math_llabs(v) __builtin_llabs(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_llabs(v) std::llabs(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_llabs(v) llabs(v) + #endif +#endif + +#if !defined(simde_math_fabsf) + #if SIMDE_MATH_BUILTIN_LIBM(fabsf) + #define simde_math_fabsf(v) __builtin_fabsf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_fabsf(v) std::abs(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_fabsf(v) fabsf(v) + #endif +#endif + +#if !defined(simde_math_acos) + #if SIMDE_MATH_BUILTIN_LIBM(acos) + #define simde_math_acos(v) __builtin_acos(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_acos(v) std::acos(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_acos(v) acos(v) + #endif +#endif + +#if !defined(simde_math_acosf) + #if SIMDE_MATH_BUILTIN_LIBM(acosf) + #define simde_math_acosf(v) __builtin_acosf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_acosf(v) std::acos(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_acosf(v) acosf(v) + #endif +#endif + +#if !defined(simde_math_acosh) + #if SIMDE_MATH_BUILTIN_LIBM(acosh) + #define simde_math_acosh(v) __builtin_acosh(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_acosh(v) std::acosh(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_acosh(v) acosh(v) + #endif +#endif + +#if !defined(simde_math_acoshf) + #if SIMDE_MATH_BUILTIN_LIBM(acoshf) + #define simde_math_acoshf(v) __builtin_acoshf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_acoshf(v) std::acosh(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_acoshf(v) acoshf(v) + #endif +#endif + +#if !defined(simde_math_asin) + #if SIMDE_MATH_BUILTIN_LIBM(asin) + #define simde_math_asin(v) __builtin_asin(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_asin(v) std::asin(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_asin(v) asin(v) + #endif +#endif + +#if !defined(simde_math_asinf) + #if SIMDE_MATH_BUILTIN_LIBM(asinf) + #define simde_math_asinf(v) __builtin_asinf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_asinf(v) std::asin(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_asinf(v) asinf(v) + #endif +#endif + +#if !defined(simde_math_asinh) + #if SIMDE_MATH_BUILTIN_LIBM(asinh) + #define simde_math_asinh(v) __builtin_asinh(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_asinh(v) std::asinh(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_asinh(v) asinh(v) + #endif +#endif + +#if !defined(simde_math_asinhf) + #if SIMDE_MATH_BUILTIN_LIBM(asinhf) + #define simde_math_asinhf(v) __builtin_asinhf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_asinhf(v) std::asinh(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_asinhf(v) asinhf(v) + #endif +#endif + +#if !defined(simde_math_atan) + #if SIMDE_MATH_BUILTIN_LIBM(atan) + #define simde_math_atan(v) __builtin_atan(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_atan(v) std::atan(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_atan(v) atan(v) + #endif +#endif + +#if !defined(simde_math_atan2) + #if SIMDE_MATH_BUILTIN_LIBM(atan2) + #define simde_math_atan2(y, x) __builtin_atan2(y, x) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_atan2(y, x) std::atan2(y, x) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_atan2(y, x) atan2(y, x) + #endif +#endif + +#if !defined(simde_math_atan2f) + #if SIMDE_MATH_BUILTIN_LIBM(atan2f) + #define simde_math_atan2f(y, x) __builtin_atan2f(y, x) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_atan2f(y, x) std::atan2(y, x) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_atan2f(y, x) atan2f(y, x) + #endif +#endif + +#if !defined(simde_math_atanf) + #if SIMDE_MATH_BUILTIN_LIBM(atanf) + #define simde_math_atanf(v) __builtin_atanf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_atanf(v) std::atan(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_atanf(v) atanf(v) + #endif +#endif + +#if !defined(simde_math_atanh) + #if SIMDE_MATH_BUILTIN_LIBM(atanh) + #define simde_math_atanh(v) __builtin_atanh(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_atanh(v) std::atanh(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_atanh(v) atanh(v) + #endif +#endif + +#if !defined(simde_math_atanhf) + #if SIMDE_MATH_BUILTIN_LIBM(atanhf) + #define simde_math_atanhf(v) __builtin_atanhf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_atanhf(v) std::atanh(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_atanhf(v) atanhf(v) + #endif +#endif + +#if !defined(simde_math_cbrt) + #if SIMDE_MATH_BUILTIN_LIBM(cbrt) + #define simde_math_cbrt(v) __builtin_cbrt(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_cbrt(v) std::cbrt(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_cbrt(v) cbrt(v) + #endif +#endif + +#if !defined(simde_math_cbrtf) + #if SIMDE_MATH_BUILTIN_LIBM(cbrtf) + #define simde_math_cbrtf(v) __builtin_cbrtf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_cbrtf(v) std::cbrt(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_cbrtf(v) cbrtf(v) + #endif +#endif + +#if !defined(simde_math_ceil) + #if SIMDE_MATH_BUILTIN_LIBM(ceil) + #define simde_math_ceil(v) __builtin_ceil(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_ceil(v) std::ceil(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_ceil(v) ceil(v) + #endif +#endif + +#if !defined(simde_math_ceilf) + #if SIMDE_MATH_BUILTIN_LIBM(ceilf) + #define simde_math_ceilf(v) __builtin_ceilf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_ceilf(v) std::ceil(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_ceilf(v) ceilf(v) + #endif +#endif + +#if !defined(simde_math_copysign) + #if SIMDE_MATH_BUILTIN_LIBM(copysign) + #define simde_math_copysign(x, y) __builtin_copysign(x, y) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_copysign(x, y) std::copysign(x, y) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_copysign(x, y) copysign(x, y) + #endif +#endif + +#if !defined(simde_math_copysignf) + #if SIMDE_MATH_BUILTIN_LIBM(copysignf) + #define simde_math_copysignf(x, y) __builtin_copysignf(x, y) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_copysignf(x, y) std::copysignf(x, y) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_copysignf(x, y) copysignf(x, y) + #endif +#endif + +#if !defined(simde_math_signbit) + #if SIMDE_MATH_BUILTIN_LIBM(signbit) + #if (!defined(__clang__) || SIMDE_DETECT_CLANG_VERSION_CHECK(7,0,0)) + #define simde_math_signbit(x) __builtin_signbit(x) + #else + #define simde_math_signbit(x) __builtin_signbit(HEDLEY_STATIC_CAST(double, (x))) + #endif + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_signbit(x) std::signbit(x) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_signbit(x) signbit(x) + #endif +#endif + +#if !defined(simde_math_cos) + #if SIMDE_MATH_BUILTIN_LIBM(cos) + #define simde_math_cos(v) __builtin_cos(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_cos(v) std::cos(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_cos(v) cos(v) + #endif +#endif + +#if !defined(simde_math_cosf) + #if defined(SIMDE_MATH_SLEEF_ENABLE) + #if SIMDE_ACCURACY_PREFERENCE < 1 + #define simde_math_cosf(v) Sleef_cosf_u35(v) + #else + #define simde_math_cosf(v) Sleef_cosf_u10(v) + #endif + #elif SIMDE_MATH_BUILTIN_LIBM(cosf) + #define simde_math_cosf(v) __builtin_cosf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_cosf(v) std::cos(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_cosf(v) cosf(v) + #endif +#endif + +#if !defined(simde_math_cosh) + #if SIMDE_MATH_BUILTIN_LIBM(cosh) + #define simde_math_cosh(v) __builtin_cosh(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_cosh(v) std::cosh(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_cosh(v) cosh(v) + #endif +#endif + +#if !defined(simde_math_coshf) + #if SIMDE_MATH_BUILTIN_LIBM(coshf) + #define simde_math_coshf(v) __builtin_coshf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_coshf(v) std::cosh(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_coshf(v) coshf(v) + #endif +#endif + +#if !defined(simde_math_erf) + #if SIMDE_MATH_BUILTIN_LIBM(erf) + #define simde_math_erf(v) __builtin_erf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_erf(v) std::erf(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_erf(v) erf(v) + #endif +#endif + +#if !defined(simde_math_erff) + #if SIMDE_MATH_BUILTIN_LIBM(erff) + #define simde_math_erff(v) __builtin_erff(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_erff(v) std::erf(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_erff(v) erff(v) + #endif +#endif + +#if !defined(simde_math_erfc) + #if SIMDE_MATH_BUILTIN_LIBM(erfc) + #define simde_math_erfc(v) __builtin_erfc(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_erfc(v) std::erfc(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_erfc(v) erfc(v) + #endif +#endif + +#if !defined(simde_math_erfcf) + #if SIMDE_MATH_BUILTIN_LIBM(erfcf) + #define simde_math_erfcf(v) __builtin_erfcf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_erfcf(v) std::erfc(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_erfcf(v) erfcf(v) + #endif +#endif + +#if !defined(simde_math_exp) + #if SIMDE_MATH_BUILTIN_LIBM(exp) + #define simde_math_exp(v) __builtin_exp(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_exp(v) std::exp(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_exp(v) exp(v) + #endif +#endif + +#if !defined(simde_math_expf) + #if SIMDE_MATH_BUILTIN_LIBM(expf) + #define simde_math_expf(v) __builtin_expf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_expf(v) std::exp(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_expf(v) expf(v) + #endif +#endif + +#if !defined(simde_math_expm1) + #if SIMDE_MATH_BUILTIN_LIBM(expm1) + #define simde_math_expm1(v) __builtin_expm1(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_expm1(v) std::expm1(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_expm1(v) expm1(v) + #endif +#endif + +#if !defined(simde_math_expm1f) + #if SIMDE_MATH_BUILTIN_LIBM(expm1f) + #define simde_math_expm1f(v) __builtin_expm1f(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_expm1f(v) std::expm1(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_expm1f(v) expm1f(v) + #endif +#endif + +#if !defined(simde_math_exp2) + #if SIMDE_MATH_BUILTIN_LIBM(exp2) + #define simde_math_exp2(v) __builtin_exp2(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_exp2(v) std::exp2(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_exp2(v) exp2(v) + #endif +#endif + +#if !defined(simde_math_exp2f) + #if SIMDE_MATH_BUILTIN_LIBM(exp2f) + #define simde_math_exp2f(v) __builtin_exp2f(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_exp2f(v) std::exp2(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_exp2f(v) exp2f(v) + #endif +#endif + +#if HEDLEY_HAS_BUILTIN(__builtin_exp10) || HEDLEY_GCC_VERSION_CHECK(3,4,0) + # define simde_math_exp10(v) __builtin_exp10(v) +#else +# define simde_math_exp10(v) pow(10.0, (v)) +#endif + +#if HEDLEY_HAS_BUILTIN(__builtin_exp10f) || HEDLEY_GCC_VERSION_CHECK(3,4,0) + # define simde_math_exp10f(v) __builtin_exp10f(v) +#else +# define simde_math_exp10f(v) powf(10.0f, (v)) +#endif + +#if !defined(simde_math_fabs) + #if SIMDE_MATH_BUILTIN_LIBM(fabs) + #define simde_math_fabs(v) __builtin_fabs(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_fabs(v) std::fabs(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_fabs(v) fabs(v) + #endif +#endif + +#if !defined(simde_math_fabsf) + #if SIMDE_MATH_BUILTIN_LIBM(fabsf) + #define simde_math_fabsf(v) __builtin_fabsf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_fabsf(v) std::fabs(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_fabsf(v) fabsf(v) + #endif +#endif + +#if !defined(simde_math_floor) + #if SIMDE_MATH_BUILTIN_LIBM(floor) + #define simde_math_floor(v) __builtin_floor(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_floor(v) std::floor(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_floor(v) floor(v) + #endif +#endif + +#if !defined(simde_math_floorf) + #if SIMDE_MATH_BUILTIN_LIBM(floorf) + #define simde_math_floorf(v) __builtin_floorf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_floorf(v) std::floor(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_floorf(v) floorf(v) + #endif +#endif + +#if !defined(simde_math_fma) + #if SIMDE_MATH_BUILTIN_LIBM(fma) + #define simde_math_fma(x, y, z) __builtin_fma(x, y, z) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_fma(x, y, z) std::fma(x, y, z) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_fma(x, y, z) fma(x, y, z) + #endif +#endif + +#if !defined(simde_math_fmaf) + #if SIMDE_MATH_BUILTIN_LIBM(fmaf) + #define simde_math_fmaf(x, y, z) __builtin_fmaf(x, y, z) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_fmaf(x, y, z) std::fma(x, y, z) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_fmaf(x, y, z) fmaf(x, y, z) + #endif +#endif + +#if !defined(simde_math_fmax) + #if SIMDE_MATH_BUILTIN_LIBM(fmax) + #define simde_math_fmax(x, y) __builtin_fmax(x, y) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_fmax(x, y) std::fmax(x, y) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_fmax(x, y) fmax(x, y) + #endif +#endif + +#if !defined(simde_math_fmaxf) + #if SIMDE_MATH_BUILTIN_LIBM(fmaxf) + #define simde_math_fmaxf(x, y) __builtin_fmaxf(x, y) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_fmaxf(x, y) std::fmax(x, y) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_fmaxf(x, y) fmaxf(x, y) + #endif +#endif + +#if !defined(simde_math_hypot) + #if SIMDE_MATH_BUILTIN_LIBM(hypot) + #define simde_math_hypot(y, x) __builtin_hypot(y, x) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_hypot(y, x) std::hypot(y, x) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_hypot(y, x) hypot(y, x) + #endif +#endif + +#if !defined(simde_math_hypotf) + #if SIMDE_MATH_BUILTIN_LIBM(hypotf) + #define simde_math_hypotf(y, x) __builtin_hypotf(y, x) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_hypotf(y, x) std::hypot(y, x) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_hypotf(y, x) hypotf(y, x) + #endif +#endif + +#if !defined(simde_math_log) + #if SIMDE_MATH_BUILTIN_LIBM(log) + #define simde_math_log(v) __builtin_log(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_log(v) std::log(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_log(v) log(v) + #endif +#endif + +#if !defined(simde_math_logf) + #if SIMDE_MATH_BUILTIN_LIBM(logf) + #define simde_math_logf(v) __builtin_logf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_logf(v) std::log(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_logf(v) logf(v) + #endif +#endif + +#if !defined(simde_math_logb) + #if SIMDE_MATH_BUILTIN_LIBM(logb) + #define simde_math_logb(v) __builtin_logb(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_logb(v) std::logb(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_logb(v) logb(v) + #endif +#endif + +#if !defined(simde_math_logbf) + #if SIMDE_MATH_BUILTIN_LIBM(logbf) + #define simde_math_logbf(v) __builtin_logbf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_logbf(v) std::logb(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_logbf(v) logbf(v) + #endif +#endif + +#if !defined(simde_math_log1p) + #if SIMDE_MATH_BUILTIN_LIBM(log1p) + #define simde_math_log1p(v) __builtin_log1p(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_log1p(v) std::log1p(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_log1p(v) log1p(v) + #endif +#endif + +#if !defined(simde_math_log1pf) + #if SIMDE_MATH_BUILTIN_LIBM(log1pf) + #define simde_math_log1pf(v) __builtin_log1pf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_log1pf(v) std::log1p(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_log1pf(v) log1pf(v) + #endif +#endif + +#if !defined(simde_math_log2) + #if SIMDE_MATH_BUILTIN_LIBM(log2) + #define simde_math_log2(v) __builtin_log2(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_log2(v) std::log2(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_log2(v) log2(v) + #endif +#endif + +#if !defined(simde_math_log2f) + #if SIMDE_MATH_BUILTIN_LIBM(log2f) + #define simde_math_log2f(v) __builtin_log2f(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_log2f(v) std::log2(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_log2f(v) log2f(v) + #endif +#endif + +#if !defined(simde_math_log10) + #if SIMDE_MATH_BUILTIN_LIBM(log10) + #define simde_math_log10(v) __builtin_log10(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_log10(v) std::log10(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_log10(v) log10(v) + #endif +#endif + +#if !defined(simde_math_log10f) + #if SIMDE_MATH_BUILTIN_LIBM(log10f) + #define simde_math_log10f(v) __builtin_log10f(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_log10f(v) std::log10(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_log10f(v) log10f(v) + #endif +#endif + +#if !defined(simde_math_modf) + #if SIMDE_MATH_BUILTIN_LIBM(modf) + #define simde_math_modf(x, iptr) __builtin_modf(x, iptr) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_modf(x, iptr) std::modf(x, iptr) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_modf(x, iptr) modf(x, iptr) + #endif +#endif + +#if !defined(simde_math_modff) + #if SIMDE_MATH_BUILTIN_LIBM(modff) + #define simde_math_modff(x, iptr) __builtin_modff(x, iptr) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_modff(x, iptr) std::modf(x, iptr) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_modff(x, iptr) modff(x, iptr) + #endif +#endif + +#if !defined(simde_math_nearbyint) + #if SIMDE_MATH_BUILTIN_LIBM(nearbyint) + #define simde_math_nearbyint(v) __builtin_nearbyint(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_nearbyint(v) std::nearbyint(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_nearbyint(v) nearbyint(v) + #endif +#endif + +#if !defined(simde_math_nearbyintf) + #if SIMDE_MATH_BUILTIN_LIBM(nearbyintf) + #define simde_math_nearbyintf(v) __builtin_nearbyintf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_nearbyintf(v) std::nearbyint(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_nearbyintf(v) nearbyintf(v) + #endif +#endif + +#if !defined(simde_math_pow) + #if SIMDE_MATH_BUILTIN_LIBM(pow) + #define simde_math_pow(y, x) __builtin_pow(y, x) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_pow(y, x) std::pow(y, x) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_pow(y, x) pow(y, x) + #endif +#endif + +#if !defined(simde_math_powf) + #if SIMDE_MATH_BUILTIN_LIBM(powf) + #define simde_math_powf(y, x) __builtin_powf(y, x) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_powf(y, x) std::pow(y, x) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_powf(y, x) powf(y, x) + #endif +#endif + +#if !defined(simde_math_rint) + #if SIMDE_MATH_BUILTIN_LIBM(rint) + #define simde_math_rint(v) __builtin_rint(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_rint(v) std::rint(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_rint(v) rint(v) + #endif +#endif + +#if !defined(simde_math_rintf) + #if SIMDE_MATH_BUILTIN_LIBM(rintf) + #define simde_math_rintf(v) __builtin_rintf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_rintf(v) std::rint(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_rintf(v) rintf(v) + #endif +#endif + +#if !defined(simde_math_round) + #if SIMDE_MATH_BUILTIN_LIBM(round) + #define simde_math_round(v) __builtin_round(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_round(v) std::round(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_round(v) round(v) + #endif +#endif + +#if !defined(simde_math_roundf) + #if SIMDE_MATH_BUILTIN_LIBM(roundf) + #define simde_math_roundf(v) __builtin_roundf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_roundf(v) std::round(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_roundf(v) roundf(v) + #endif +#endif + +#if !defined(simde_math_roundeven) + #if \ + (!defined(HEDLEY_EMSCRIPTEN_VERSION) && HEDLEY_HAS_BUILTIN(__builtin_roundeven)) || \ + HEDLEY_GCC_VERSION_CHECK(10,0,0) + #define simde_math_roundeven(v) __builtin_roundeven(v) + #elif defined(simde_math_round) && defined(simde_math_fabs) + static HEDLEY_INLINE + double + simde_math_roundeven(double v) { + double rounded = simde_math_round(v); + double diff = rounded - v; + if (HEDLEY_UNLIKELY(simde_math_fabs(diff) == 0.5) && (HEDLEY_STATIC_CAST(int64_t, rounded) & 1)) { + rounded = v - diff; + } + return rounded; + } + #define simde_math_roundeven simde_math_roundeven + #endif +#endif + +#if !defined(simde_math_roundevenf) + #if \ + (!defined(HEDLEY_EMSCRIPTEN_VERSION) && HEDLEY_HAS_BUILTIN(__builtin_roundevenf)) || \ + HEDLEY_GCC_VERSION_CHECK(10,0,0) + #define simde_math_roundevenf(v) __builtin_roundevenf(v) + #elif defined(simde_math_roundf) && defined(simde_math_fabsf) + static HEDLEY_INLINE + float + simde_math_roundevenf(float v) { + float rounded = simde_math_roundf(v); + float diff = rounded - v; + if (HEDLEY_UNLIKELY(simde_math_fabsf(diff) == 0.5f) && (HEDLEY_STATIC_CAST(int32_t, rounded) & 1)) { + rounded = v - diff; + } + return rounded; + } + #define simde_math_roundevenf simde_math_roundevenf + #endif +#endif + +#if !defined(simde_math_sin) + #if SIMDE_MATH_BUILTIN_LIBM(sin) + #define simde_math_sin(v) __builtin_sin(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_sin(v) std::sin(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_sin(v) sin(v) + #endif +#endif + +#if !defined(simde_math_sinf) + #if SIMDE_MATH_BUILTIN_LIBM(sinf) + #define simde_math_sinf(v) __builtin_sinf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_sinf(v) std::sin(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_sinf(v) sinf(v) + #endif +#endif + +#if !defined(simde_math_sinh) + #if SIMDE_MATH_BUILTIN_LIBM(sinh) + #define simde_math_sinh(v) __builtin_sinh(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_sinh(v) std::sinh(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_sinh(v) sinh(v) + #endif +#endif + +#if !defined(simde_math_sinhf) + #if SIMDE_MATH_BUILTIN_LIBM(sinhf) + #define simde_math_sinhf(v) __builtin_sinhf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_sinhf(v) std::sinh(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_sinhf(v) sinhf(v) + #endif +#endif + +#if !defined(simde_math_sqrt) + #if SIMDE_MATH_BUILTIN_LIBM(sqrt) + #define simde_math_sqrt(v) __builtin_sqrt(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_sqrt(v) std::sqrt(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_sqrt(v) sqrt(v) + #endif +#endif + +#if !defined(simde_math_sqrtf) + #if SIMDE_MATH_BUILTIN_LIBM(sqrtf) + #define simde_math_sqrtf(v) __builtin_sqrtf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_sqrtf(v) std::sqrt(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_sqrtf(v) sqrtf(v) + #endif +#endif + +#if !defined(simde_math_tan) + #if SIMDE_MATH_BUILTIN_LIBM(tan) + #define simde_math_tan(v) __builtin_tan(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_tan(v) std::tan(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_tan(v) tan(v) + #endif +#endif + +#if !defined(simde_math_tanf) + #if SIMDE_MATH_BUILTIN_LIBM(tanf) + #define simde_math_tanf(v) __builtin_tanf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_tanf(v) std::tan(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_tanf(v) tanf(v) + #endif +#endif + +#if !defined(simde_math_tanh) + #if SIMDE_MATH_BUILTIN_LIBM(tanh) + #define simde_math_tanh(v) __builtin_tanh(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_tanh(v) std::tanh(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_tanh(v) tanh(v) + #endif +#endif + +#if !defined(simde_math_tanhf) + #if SIMDE_MATH_BUILTIN_LIBM(tanhf) + #define simde_math_tanhf(v) __builtin_tanhf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_tanhf(v) std::tanh(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_tanhf(v) tanhf(v) + #endif +#endif + +#if !defined(simde_math_trunc) + #if SIMDE_MATH_BUILTIN_LIBM(trunc) + #define simde_math_trunc(v) __builtin_trunc(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_trunc(v) std::trunc(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_trunc(v) trunc(v) + #endif +#endif + +#if !defined(simde_math_truncf) + #if SIMDE_MATH_BUILTIN_LIBM(truncf) + #define simde_math_truncf(v) __builtin_truncf(v) + #elif defined(SIMDE_MATH_HAVE_CMATH) + #define simde_math_truncf(v) std::trunc(v) + #elif defined(SIMDE_MATH_HAVE_MATH_H) + #define simde_math_truncf(v) truncf(v) + #endif +#endif + +/*** Comparison macros (which don't raise invalid errors) ***/ + +#if defined(isunordered) + #define simde_math_isunordered(x, y) isunordered(x, y) +#elif HEDLEY_HAS_BUILTIN(__builtin_isunordered) + #define simde_math_isunordered(x, y) __builtin_isunordered(x, y) +#else + static HEDLEY_INLINE + int simde_math_isunordered(double x, double y) { + return (x != y) && (x != x || y != y); + } + #define simde_math_isunordered simde_math_isunordered + + static HEDLEY_INLINE + int simde_math_isunorderedf(float x, float y) { + return (x != y) && (x != x || y != y); + } + #define simde_math_isunorderedf simde_math_isunorderedf +#endif +#if !defined(simde_math_isunorderedf) + #define simde_math_isunorderedf simde_math_isunordered +#endif + +/*** Additional functions not in libm ***/ + +#if defined(simde_math_fabs) && defined(simde_math_sqrt) && defined(simde_math_exp) + static HEDLEY_INLINE + double + simde_math_cdfnorm(double x) { + /* https://www.johndcook.com/blog/cpp_phi/ + * Public Domain */ + static const double a1 = 0.254829592; + static const double a2 = -0.284496736; + static const double a3 = 1.421413741; + static const double a4 = -1.453152027; + static const double a5 = 1.061405429; + static const double p = 0.3275911; + + const int sign = x < 0; + x = simde_math_fabs(x) / simde_math_sqrt(2.0); + + /* A&S formula 7.1.26 */ + double t = 1.0 / (1.0 + p * x); + double y = 1.0 - (((((a5 * t + a4) * t) + a3) * t + a2) * t + a1) * t * simde_math_exp(-x * x); + + return 0.5 * (1.0 + (sign ? -y : y)); + } + #define simde_math_cdfnorm simde_math_cdfnorm +#endif + +#if defined(simde_math_fabsf) && defined(simde_math_sqrtf) && defined(simde_math_expf) + static HEDLEY_INLINE + float + simde_math_cdfnormf(float x) { + /* https://www.johndcook.com/blog/cpp_phi/ + * Public Domain */ + static const float a1 = 0.254829592f; + static const float a2 = -0.284496736f; + static const float a3 = 1.421413741f; + static const float a4 = -1.453152027f; + static const float a5 = 1.061405429f; + static const float p = 0.3275911f; + + const int sign = x < 0; + x = simde_math_fabsf(x) / simde_math_sqrtf(2.0f); + + /* A&S formula 7.1.26 */ + float t = 1.0f / (1.0f + p * x); + float y = 1.0f - (((((a5 * t + a4) * t) + a3) * t + a2) * t + a1) * t * simde_math_expf(-x * x); + + return 0.5f * (1.0f + (sign ? -y : y)); + } + #define simde_math_cdfnormf simde_math_cdfnormf +#endif + +#if !defined(simde_math_cdfnorminv) && defined(simde_math_log) && defined(simde_math_sqrt) + /*https://web.archive.org/web/20150910081113/http://home.online.no/~pjacklam/notes/invnorm/impl/sprouse/ltqnorm.c*/ + static HEDLEY_INLINE + double + simde_math_cdfnorminv(double p) { + static const double a[] = { + -3.969683028665376e+01, + 2.209460984245205e+02, + -2.759285104469687e+02, + 1.383577518672690e+02, + -3.066479806614716e+01, + 2.506628277459239e+00 + }; + + static const double b[] = { + -5.447609879822406e+01, + 1.615858368580409e+02, + -1.556989798598866e+02, + 6.680131188771972e+01, + -1.328068155288572e+01 + }; + + static const double c[] = { + -7.784894002430293e-03, + -3.223964580411365e-01, + -2.400758277161838e+00, + -2.549732539343734e+00, + 4.374664141464968e+00, + 2.938163982698783e+00 + }; + + static const double d[] = { + 7.784695709041462e-03, + 3.224671290700398e-01, + 2.445134137142996e+00, + 3.754408661907416e+00 + }; + + static const double low = 0.02425; + static const double high = 0.97575; + double q, r; + + if (p < 0 || p > 1) { + return 0.0; + } else if (p == 0) { + return -SIMDE_MATH_INFINITY; + } else if (p == 1) { + return SIMDE_MATH_INFINITY; + } else if (p < low) { + q = simde_math_sqrt(-2.0 * simde_math_log(p)); + return + (((((c[0] * q + c[1]) * q + c[2]) * q + c[3]) * q + c[4]) * q + c[5]) / + (((((d[0] * q + d[1]) * q + d[2]) * q + d[3]) * q + 1)); + } else if (p > high) { + q = simde_math_sqrt(-2.0 * simde_math_log(1.0 - p)); + return + -(((((c[0] * q + c[1]) * q + c[2]) * q + c[3]) * q + c[4]) * q + c[5]) / + (((((d[0] * q + d[1]) * q + d[2]) * q + d[3]) * q + 1)); + } else { + q = p - 0.5; + r = q * q; + return (((((a[0] * r + a[1]) * r + a[2]) * r + a[3]) * r + a[4]) * r + a[5]) * + q / (((((b[0] * r + b[1]) * r + b[2]) * r + b[3]) * r + b[4]) * r + 1); + } +} +#define simde_math_cdfnorminv simde_math_cdfnorminv +#endif + +#if !defined(simde_math_cdfnorminvf) && defined(simde_math_logf) && defined(simde_math_sqrtf) + static HEDLEY_INLINE + float + simde_math_cdfnorminvf(float p) { + static const float a[] = { + -3.969683028665376e+01f, + 2.209460984245205e+02f, + -2.759285104469687e+02f, + 1.383577518672690e+02f, + -3.066479806614716e+01f, + 2.506628277459239e+00f + }; + static const float b[] = { + -5.447609879822406e+01f, + 1.615858368580409e+02f, + -1.556989798598866e+02f, + 6.680131188771972e+01f, + -1.328068155288572e+01f + }; + static const float c[] = { + -7.784894002430293e-03f, + -3.223964580411365e-01f, + -2.400758277161838e+00f, + -2.549732539343734e+00f, + 4.374664141464968e+00f, + 2.938163982698783e+00f + }; + static const float d[] = { + 7.784695709041462e-03f, + 3.224671290700398e-01f, + 2.445134137142996e+00f, + 3.754408661907416e+00f + }; + static const float low = 0.02425f; + static const float high = 0.97575f; + float q, r; + + if (p < 0 || p > 1) { + return 0.0f; + } else if (p == 0) { + return -SIMDE_MATH_INFINITYF; + } else if (p == 1) { + return SIMDE_MATH_INFINITYF; + } else if (p < low) { + q = simde_math_sqrtf(-2.0f * simde_math_logf(p)); + return + (((((c[0] * q + c[1]) * q + c[2]) * q + c[3]) * q + c[4]) * q + c[5]) / + (((((d[0] * q + d[1]) * q + d[2]) * q + d[3]) * q + 1)); + } else if (p > high) { + q = simde_math_sqrtf(-2.0f * simde_math_logf(1.0f - p)); + return + -(((((c[0] * q + c[1]) * q + c[2]) * q + c[3]) * q + c[4]) * q + c[5]) / + (((((d[0] * q + d[1]) * q + d[2]) * q + d[3]) * q + 1)); + } else { + q = p - 0.5f; + r = q * q; + return (((((a[0] * r + a[1]) * r + a[2]) * r + a[3]) * r + a[4]) * r + a[5]) * + q / (((((b[0] * r + b[1]) * r + b[2]) * r + b[3]) * r + b[4]) * r + 1); + } + } + #define simde_math_cdfnorminvf simde_math_cdfnorminvf +#endif + +#if !defined(simde_math_erfinv) && defined(simde_math_log) && defined(simde_math_copysign) && defined(simde_math_sqrt) + static HEDLEY_INLINE + double + simde_math_erfinv(double x) { + /* https://stackoverflow.com/questions/27229371/inverse-error-function-in-c + * + * The original answer on SO uses a constant of 0.147, but in my + * testing 0.14829094707965850830078125 gives a lower average absolute error + * (0.0001410958211636170744895935 vs. 0.0001465479290345683693885803). + * That said, if your goal is to minimize the *maximum* absolute + * error, 0.15449436008930206298828125 provides significantly better + * results; 0.0009250640869140625000000000 vs ~ 0.005. */ + double tt1, tt2, lnx; + double sgn = simde_math_copysign(1.0, x); + + x = (1.0 - x) * (1.0 + x); + lnx = simde_math_log(x); + + tt1 = 2.0 / (SIMDE_MATH_PI * 0.14829094707965850830078125) + 0.5 * lnx; + tt2 = (1.0 / 0.14829094707965850830078125) * lnx; + + return sgn * simde_math_sqrt(-tt1 + simde_math_sqrt(tt1 * tt1 - tt2)); + } + #define simde_math_erfinv simde_math_erfinv +#endif + +#if !defined(simde_math_erfinvf) && defined(simde_math_logf) && defined(simde_math_copysignf) && defined(simde_math_sqrtf) + static HEDLEY_INLINE + float + simde_math_erfinvf(float x) { + float tt1, tt2, lnx; + float sgn = simde_math_copysignf(1.0f, x); + + x = (1.0f - x) * (1.0f + x); + lnx = simde_math_logf(x); + + tt1 = 2.0f / (SIMDE_MATH_PIF * 0.14829094707965850830078125f) + 0.5f * lnx; + tt2 = (1.0f / 0.14829094707965850830078125f) * lnx; + + return sgn * simde_math_sqrtf(-tt1 + simde_math_sqrtf(tt1 * tt1 - tt2)); + } + #define simde_math_erfinvf simde_math_erfinvf +#endif + +#if !defined(simde_math_erfcinv) && defined(simde_math_erfinv) && defined(simde_math_log) && defined(simde_math_sqrt) + static HEDLEY_INLINE + double + simde_math_erfcinv(double x) { + if(x >= 0.0625 && x < 2.0) { + return simde_math_erfinv(1.0 - x); + } else if (x < 0.0625 && x >= 1.0e-100) { + static const double p[6] = { + 0.1550470003116, + 1.382719649631, + 0.690969348887, + -1.128081391617, + 0.680544246825, + -0.16444156791 + }; + static const double q[3] = { + 0.155024849822, + 1.385228141995, + 1.000000000000 + }; + + const double t = 1.0 / simde_math_sqrt(-simde_math_log(x)); + return (p[0] / t + p[1] + t * (p[2] + t * (p[3] + t * (p[4] + t * p[5])))) / + (q[0] + t * (q[1] + t * (q[2]))); + } else if (x < 1.0e-100 && x >= SIMDE_MATH_DBL_MIN) { + static const double p[4] = { + 0.00980456202915, + 0.363667889171, + 0.97302949837, + -0.5374947401 + }; + static const double q[3] = { + 0.00980451277802, + 0.363699971544, + 1.000000000000 + }; + + const double t = 1.0 / simde_math_sqrt(-simde_math_log(x)); + return (p[0] / t + p[1] + t * (p[2] + t * p[3])) / + (q[0] + t * (q[1] + t * (q[2]))); + } else if (!simde_math_isnormal(x)) { + return SIMDE_MATH_INFINITY; + } else { + return -SIMDE_MATH_INFINITY; + } + } + + #define simde_math_erfcinv simde_math_erfcinv +#endif + +#if !defined(simde_math_erfcinvf) && defined(simde_math_erfinvf) && defined(simde_math_logf) && defined(simde_math_sqrtf) + static HEDLEY_INLINE + float + simde_math_erfcinvf(float x) { + if(x >= 0.0625f && x < 2.0f) { + return simde_math_erfinvf(1.0f - x); + } else if (x < 0.0625f && x >= SIMDE_MATH_FLT_MIN) { + static const float p[6] = { + 0.1550470003116f, + 1.382719649631f, + 0.690969348887f, + -1.128081391617f, + 0.680544246825f + -0.164441567910f + }; + static const float q[3] = { + 0.155024849822f, + 1.385228141995f, + 1.000000000000f + }; + + const float t = 1.0f / simde_math_sqrtf(-simde_math_logf(x)); + return (p[0] / t + p[1] + t * (p[2] + t * (p[3] + t * (p[4] + t * p[5])))) / + (q[0] + t * (q[1] + t * (q[2]))); + } else if (x < SIMDE_MATH_FLT_MIN && simde_math_isnormalf(x)) { + static const float p[4] = { + 0.00980456202915f, + 0.36366788917100f, + 0.97302949837000f, + -0.5374947401000f + }; + static const float q[3] = { + 0.00980451277802f, + 0.36369997154400f, + 1.00000000000000f + }; + + const float t = 1.0f / simde_math_sqrtf(-simde_math_logf(x)); + return (p[0] / t + p[1] + t * (p[2] + t * p[3])) / + (q[0] + t * (q[1] + t * (q[2]))); + } else { + return simde_math_isnormalf(x) ? -SIMDE_MATH_INFINITYF : SIMDE_MATH_INFINITYF; + } + } + + #define simde_math_erfcinvf simde_math_erfcinvf +#endif + +static HEDLEY_INLINE +double +simde_math_rad2deg(double radians) { + return radians * SIMDE_MATH_180_OVER_PI; +} + +static HEDLEY_INLINE +float +simde_math_rad2degf(float radians) { + return radians * SIMDE_MATH_180_OVER_PIF; +} + +static HEDLEY_INLINE +double +simde_math_deg2rad(double degrees) { + return degrees * SIMDE_MATH_PI_OVER_180; +} + +static HEDLEY_INLINE +float +simde_math_deg2radf(float degrees) { + return degrees * (SIMDE_MATH_PI_OVER_180F); +} + +/*** Saturated arithmetic ***/ + +static HEDLEY_INLINE +int8_t +simde_math_adds_i8(int8_t a, int8_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqaddb_s8(a, b); + #else + uint8_t a_ = HEDLEY_STATIC_CAST(uint8_t, a); + uint8_t b_ = HEDLEY_STATIC_CAST(uint8_t, b); + uint8_t r_ = a_ + b_; + + a_ = (a_ >> ((8 * sizeof(r_)) - 1)) + INT8_MAX; + if (HEDLEY_STATIC_CAST(int8_t, ((a_ ^ b_) | ~(b_ ^ r_))) >= 0) { + r_ = a_; + } + + return HEDLEY_STATIC_CAST(int8_t, r_); + #endif +} + +static HEDLEY_INLINE +int16_t +simde_math_adds_i16(int16_t a, int16_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqaddh_s16(a, b); + #else + uint16_t a_ = HEDLEY_STATIC_CAST(uint16_t, a); + uint16_t b_ = HEDLEY_STATIC_CAST(uint16_t, b); + uint16_t r_ = a_ + b_; + + a_ = (a_ >> ((8 * sizeof(r_)) - 1)) + INT16_MAX; + if (HEDLEY_STATIC_CAST(int16_t, ((a_ ^ b_) | ~(b_ ^ r_))) >= 0) { + r_ = a_; + } + + return HEDLEY_STATIC_CAST(int16_t, r_); + #endif +} + +static HEDLEY_INLINE +int32_t +simde_math_adds_i32(int32_t a, int32_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqadds_s32(a, b); + #else + uint32_t a_ = HEDLEY_STATIC_CAST(uint32_t, a); + uint32_t b_ = HEDLEY_STATIC_CAST(uint32_t, b); + uint32_t r_ = a_ + b_; + + a_ = (a_ >> ((8 * sizeof(r_)) - 1)) + INT32_MAX; + if (HEDLEY_STATIC_CAST(int32_t, ((a_ ^ b_) | ~(b_ ^ r_))) >= 0) { + r_ = a_; + } + + return HEDLEY_STATIC_CAST(int32_t, r_); + #endif +} + +static HEDLEY_INLINE +int64_t +simde_math_adds_i64(int64_t a, int64_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqaddd_s64(a, b); + #else + uint64_t a_ = HEDLEY_STATIC_CAST(uint64_t, a); + uint64_t b_ = HEDLEY_STATIC_CAST(uint64_t, b); + uint64_t r_ = a_ + b_; + + a_ = (a_ >> ((8 * sizeof(r_)) - 1)) + INT64_MAX; + if (HEDLEY_STATIC_CAST(int64_t, ((a_ ^ b_) | ~(b_ ^ r_))) >= 0) { + r_ = a_; + } + + return HEDLEY_STATIC_CAST(int64_t, r_); + #endif +} + +static HEDLEY_INLINE +uint8_t +simde_math_adds_u8(uint8_t a, uint8_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqaddb_u8(a, b); + #else + uint8_t r = a + b; + r |= -(r < a); + return r; + #endif +} + +static HEDLEY_INLINE +uint16_t +simde_math_adds_u16(uint16_t a, uint16_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqaddh_u16(a, b); + #else + uint16_t r = a + b; + r |= -(r < a); + return r; + #endif +} + +static HEDLEY_INLINE +uint32_t +simde_math_adds_u32(uint32_t a, uint32_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqadds_u32(a, b); + #else + uint32_t r = a + b; + r |= -(r < a); + return r; + #endif +} + +static HEDLEY_INLINE +uint64_t +simde_math_adds_u64(uint64_t a, uint64_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqaddd_u64(a, b); + #else + uint64_t r = a + b; + r |= -(r < a); + return r; + #endif +} + +static HEDLEY_INLINE +int8_t +simde_math_subs_i8(int8_t a, int8_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqsubb_s8(a, b); + #else + uint8_t a_ = HEDLEY_STATIC_CAST(uint8_t, a); + uint8_t b_ = HEDLEY_STATIC_CAST(uint8_t, b); + uint8_t r_ = a_ - b_; + + a_ = (a_ >> 7) + INT8_MAX; + + if (HEDLEY_STATIC_CAST(int8_t, (a_ ^ b_) & (a_ ^ r_)) < 0) { + r_ = a_; + } + + return HEDLEY_STATIC_CAST(int8_t, r_); + #endif +} + +static HEDLEY_INLINE +int16_t +simde_math_subs_i16(int16_t a, int16_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqsubh_s16(a, b); + #else + uint16_t a_ = HEDLEY_STATIC_CAST(uint16_t, a); + uint16_t b_ = HEDLEY_STATIC_CAST(uint16_t, b); + uint16_t r_ = a_ - b_; + + a_ = (a_ >> 15) + INT16_MAX; + + if (HEDLEY_STATIC_CAST(int16_t, (a_ ^ b_) & (a_ ^ r_)) < 0) { + r_ = a_; + } + + return HEDLEY_STATIC_CAST(int16_t, r_); + #endif +} + +static HEDLEY_INLINE +int32_t +simde_math_subs_i32(int32_t a, int32_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqsubs_s32(a, b); + #else + uint32_t a_ = HEDLEY_STATIC_CAST(uint32_t, a); + uint32_t b_ = HEDLEY_STATIC_CAST(uint32_t, b); + uint32_t r_ = a_ - b_; + + a_ = (a_ >> 31) + INT32_MAX; + + if (HEDLEY_STATIC_CAST(int32_t, (a_ ^ b_) & (a_ ^ r_)) < 0) { + r_ = a_; + } + + return HEDLEY_STATIC_CAST(int32_t, r_); + #endif +} + +static HEDLEY_INLINE +int64_t +simde_math_subs_i64(int64_t a, int64_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqsubd_s64(a, b); + #else + uint64_t a_ = HEDLEY_STATIC_CAST(uint64_t, a); + uint64_t b_ = HEDLEY_STATIC_CAST(uint64_t, b); + uint64_t r_ = a_ - b_; + + a_ = (a_ >> 63) + INT64_MAX; + + if (HEDLEY_STATIC_CAST(int64_t, (a_ ^ b_) & (a_ ^ r_)) < 0) { + r_ = a_; + } + + return HEDLEY_STATIC_CAST(int64_t, r_); + #endif +} + +static HEDLEY_INLINE +uint8_t +simde_math_subs_u8(uint8_t a, uint8_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqsubb_u8(a, b); + #else + uint8_t res = a - b; + res &= -(res <= a); + return res; + #endif +} + +static HEDLEY_INLINE +uint16_t +simde_math_subs_u16(uint16_t a, uint16_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqsubh_u16(a, b); + #else + uint16_t res = a - b; + res &= -(res <= a); + return res; + #endif +} + +static HEDLEY_INLINE +uint32_t +simde_math_subs_u32(uint32_t a, uint32_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqsubs_u32(a, b); + #else + uint32_t res = a - b; + res &= -(res <= a); + return res; + #endif +} + +static HEDLEY_INLINE +uint64_t +simde_math_subs_u64(uint64_t a, uint64_t b) { + #if defined(SIMDE_ARM_NEON_A64V8_NATIVE) + return vqsubd_u64(a, b); + #else + uint64_t res = a - b; + res &= -(res <= a); + return res; + #endif +} + +HEDLEY_DIAGNOSTIC_POP + +#endif /* !defined(SIMDE_MATH_H) */ |