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obs-studio/libobs/util/simde/simde-math.h
Michael R. Crusoe 1e96573328 libobs: Update to SIMDe 0.7.1 
c3d7abfaba

Simplify usage of the SIMDe header

This obviates the need for sse2neon as well and fixes compilation of all
plugins that referenced sse-intrin.h on all architectures, not just
arm*.
2021-01-02 04:07:55 -08:00

1859 lines
53 KiB
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/* 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)
#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
/* Try to avoid including <complex> since it pulls in a *lot* of code. */
#if HEDLEY_HAS_BUILTIN(__builtin_creal) || \
HEDLEY_GCC_VERSION_CHECK(4, 7, 0) || \
HEDLEY_INTEL_VERSION_CHECK(13, 0, 0)
HEDLEY_DIAGNOSTIC_PUSH
SIMDE_DIAGNOSTIC_DISABLE_C99_EXTENSIONS_
typedef __complex__ float simde_cfloat32;
typedef __complex__ double simde_cfloat64;
HEDLEY_DIAGNOSTIC_POP
#define SIMDE_MATH_CMPLX(x, y) \
(HEDLEY_STATIC_CAST(double, x) + \
HEDLEY_STATIC_CAST(double, y) * (__extension__ 1.0j))
#define SIMDE_MATH_CMPLXF(x, y) \
(HEDLEY_STATIC_CAST(float, x) + \
HEDLEY_STATIC_CAST(float, y) * (__extension__ 1.0fj))
#if !defined(simde_math_creal)
#define simde_math_crealf(z) __builtin_crealf(z)
#endif
#if !defined(simde_math_crealf)
#define simde_math_creal(z) __builtin_creal(z)
#endif
#if !defined(simde_math_cimag)
#define simde_math_cimagf(z) __builtin_cimagf(z)
#endif
#if !defined(simde_math_cimagf)
#define simde_math_cimag(z) __builtin_cimag(z)
#endif
#elif !defined(__cplusplus)
#include <complex.h>
#if !defined(HEDLEY_MSVC_VERSION)
typedef float _Complex simde_cfloat32;
typedef double _Complex simde_cfloat64;
#else
typedef _Fcomplex simde_cfloat32;
typedef _Dcomplex simde_cfloat64;
#endif
#if defined(HEDLEY_MSVC_VERSION)
#define SIMDE_MATH_CMPLX(x, y) ((simde_cfloat64){(x), (y)})
#define SIMDE_MATH_CMPLXF(x, y) ((simde_cfloat32){(x), (y)})
#elif defined(CMPLX) && defined(CMPLXF)
#define SIMDE_MATH_CMPLX(x, y) CMPLX(x, y)
#define SIMDE_MATH_CMPLXF(x, y) CMPLXF(x, y)
#else
#define SIMDE_MATH_CMPLX(x, y) \
(HEDLEY_STATIC_CAST(double, x) + HEDLEY_STATIC_CAST(double, y) * I)
#define SIMDE_MATH_CMPLXF(x, y) \
(HEDLEY_STATIC_CAST(float, x) + HEDLEY_STATIC_CAST(float, y) * I)
#endif
#if !defined(simde_math_creal)
#define simde_math_creal(z) creal(z)
#endif
#if !defined(simde_math_crealf)
#define simde_math_crealf(z) crealf(z)
#endif
#if !defined(simde_math_cimag)
#define simde_math_cimag(z) cimag(z)
#endif
#if !defined(simde_math_cimagf)
#define simde_math_cimagf(z) cimagf(z)
#endif
#else
HEDLEY_DIAGNOSTIC_PUSH
#if defined(HEDLEY_MSVC_VERSION)
#pragma warning(disable : 4530)
#endif
#include <complex>
HEDLEY_DIAGNOSTIC_POP
typedef std::complex<float> simde_cfloat32;
typedef std::complex<double> simde_cfloat64;
#define SIMDE_MATH_CMPLX(x, y) (std::complex<double>(x, y))
#define SIMDE_MATH_CMPLXF(x, y) (std::complex<float>(x, y))
#if !defined(simde_math_creal)
#define simde_math_creal(z) ((z).real())
#endif
#if !defined(simde_math_crealf)
#define simde_math_crealf(z) ((z).real())
#endif
#if !defined(simde_math_cimag)
#define simde_math_cimag(z) ((z).imag())
#endif
#if !defined(simde_math_cimagf)
#define simde_math_cimagf(z) ((z).imag())
#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
#elif defined(__FLT_MIN__)
#define SIMDE_MATH_FLT_MIN __FLT_MIN__
#elif defined(__cplusplus)
#include <cfloat>
#define SIMDE_MATH_FLT_MIN FLT_MIN
#else
#include <float.h>
#define SIMDE_MATH_FLT_MIN FLT_MIN
#endif
#endif
#if !defined(SIMDE_MATH_DBL_MIN)
#if defined(DBL_MIN)
#define SIMDE_MATH_DBL_MIN DBL_MIN
#elif defined(__DBL_MIN__)
#define SIMDE_MATH_DBL_MIN __DBL_MIN__
#elif defined(__cplusplus)
#include <cfloat>
#define SIMDE_MATH_DBL_MIN DBL_MIN
#else
#include <float.h>
#define SIMDE_MATH_DBL_MIN DBL_MIN
#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
/*** 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_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_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, z) __builtin_fmax(x, y, z)
#elif defined(SIMDE_MATH_HAVE_CMATH)
#define simde_math_fmax(x, y, z) std::fmax(x, y, z)
#elif defined(SIMDE_MATH_HAVE_MATH_H)
#define simde_math_fmax(x, y, z) fmax(x, y, z)
#endif
#endif
#if !defined(simde_math_fmaxf)
#if SIMDE_MATH_BUILTIN_LIBM(fmaxf)
#define simde_math_fmaxf(x, y, z) __builtin_fmaxf(x, y, z)
#elif defined(SIMDE_MATH_HAVE_CMATH)
#define simde_math_fmaxf(x, y, z) std::fmax(x, y, z)
#elif defined(SIMDE_MATH_HAVE_MATH_H)
#define simde_math_fmaxf(x, y, z) fmaxf(x, y, z)
#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 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 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
/*** Complex functions ***/
#if !defined(simde_math_cexp)
#if SIMDE_MATH_BUILTIN_LIBM(cexp)
#define simde_math_cexp(v) __builtin_cexp(v)
#elif defined(__cplusplus)
#define simde_math_cexp(v) std::cexp(v)
#elif defined(SIMDE_MATH_HAVE_MATH_H)
#define simde_math_cexp(v) cexp(v)
#endif
#endif
#if !defined(simde_math_cexpf)
#if SIMDE_MATH_BUILTIN_LIBM(cexpf)
#define simde_math_cexpf(v) __builtin_cexpf(v)
#elif defined(__cplusplus)
#define simde_math_cexpf(v) std::exp(v)
#elif defined(SIMDE_MATH_HAVE_MATH_H)
#define simde_math_cexpf(v) cexpf(v)
#endif
#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
HEDLEY_DIAGNOSTIC_PUSH
SIMDE_DIAGNOSTIC_DISABLE_FLOAT_EQUAL_
#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) {
double p[6] = {0.1550470003116, 1.382719649631, 0.690969348887,
-1.128081391617, 0.680544246825, -0.16444156791};
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) {
double p[4] = {0.00980456202915, 0.363667889171, 0.97302949837,
-0.5374947401};
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
HEDLEY_DIAGNOSTIC_POP
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) */
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