obs-studio/libobs/util/simde/simde-math.h

/* 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 <[email protected]>
 */

/* 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"

#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(__cplusplus)
/* If this is a problem we *might* be able to avoid including
   * <complex.h> on some compilers (gcc, clang, and others which
   * implement builtins like __builtin_cexpf).  If you don't have
   * a <complex.h> please file an issue and we'll take a look. */
#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 HEDLEY_HAS_BUILTIN(__builtin_complex) || \
	HEDLEY_GCC_VERSION_CHECK(4, 7, 0) || \
	HEDLEY_INTEL_VERSION_CHECK(13, 0, 0)
#define SIMDE_MATH_CMPLX(x, y) __builtin_complex((double)(x), (double)(y))
#define SIMDE_MATH_CMPLXF(x, y) __builtin_complex((float)(x), (float)(y))
#elif 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
/* CMPLX / CMPLXF are in C99, but these seem to be necessary in
     * some compilers that aren't even MSVC. */
#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)
#if SIMDE_MATH_BUILTIN_LIBM(creal)
#define simde_math_creal(z) __builtin_creal(z)
#else
#define simde_math_creal(z) creal(z)
#endif
#endif

#if !defined(simde_math_crealf)
#if SIMDE_MATH_BUILTIN_LIBM(crealf)
#define simde_math_crealf(z) __builtin_crealf(z)
#else
#define simde_math_crealf(z) crealf(z)
#endif
#endif

#if !defined(simde_math_cimag)
#if SIMDE_MATH_BUILTIN_LIBM(cimag)
#define simde_math_cimag(z) __builtin_cimag(z)
#else
#define simde_math_cimag(z) cimag(z)
#endif
#endif

#if !defined(simde_math_cimagf)
#if SIMDE_MATH_BUILTIN_LIBM(cimagf)
#define simde_math_cimagf(z) __builtin_cimagf(z)
#else
#define simde_math_cimagf(z) cimagf(z)
#endif
#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_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

/*** 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_absf)
#if SIMDE_MATH_BUILTIN_LIBM(absf)
#define simde_math_absf(v) __builtin_absf(v)
#elif defined(SIMDE_MATH_HAVE_CMATH)
#define simde_math_absf(v) std::abs(v)
#elif defined(SIMDE_MATH_HAVE_MATH_H)
#define simde_math_absf(v) absf(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 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_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_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_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 defined(__cplusplus)
#define simde_math_cexp(v) std::cexp(v)
#elif SIMDE_MATH_BUILTIN_LIBM(cexp)
#define simde_math_cexp(v) __builtin_cexp(v)
#elif defined(SIMDE_MATH_HAVE_MATH_H)
#define simde_math_cexp(v) cexp(v)
#endif
#endif

#if !defined(simde_math_cexpf)
#if defined(__cplusplus)
#define simde_math_cexpf(v) std::exp(v)
#elif SIMDE_MATH_BUILTIN_LIBM(cexpf)
#define simde_math_cexpf(v) __builtin_cexpf(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 * (180.0 / SIMDE_MATH_PI);
}

static HEDLEY_INLINE float simde_math_rad2degf(float radians)
{
	return radians * (180.0f / SIMDE_MATH_PIF);
}

static HEDLEY_INLINE double simde_math_deg2rad(double degrees)
{
	return degrees * (SIMDE_MATH_PI / 180.0);
}

static HEDLEY_INLINE float simde_math_deg2radf(float degrees)
{
	return degrees * (SIMDE_MATH_PIF / 180.0f);
}

#endif /* !defined(SIMDE_MATH_H) */