math.h revision 8b9a30e170a19d2122f337959e2810160e5c8e7f
/** @file
* innotek Portable Runtime / No-CRT - math.h.
*/
/*
* Copyright (C) 2006-2007 innotek GmbH
*
* This file is part of VirtualBox Open Source Edition (OSE), as
* available from http://www.virtualbox.org. This file is free software;
* you can redistribute it and/or modify it under the terms of the GNU
* General Public License (GPL) as published by the Free Software
* Foundation, in version 2 as it comes in the "COPYING" file of the
* VirtualBox OSE distribution. VirtualBox OSE is distributed in the
* hope that it will be useful, but WITHOUT ANY WARRANTY of any kind.
*
* The contents of this file may alternatively be used under the terms
* of the Common Development and Distribution License Version 1.0
* (CDDL) only, as it comes in the "COPYING.CDDL" file of the
* VirtualBox OSE distribution, in which case the provisions of the
* CDDL are applicable instead of those of the GPL.
*
* You may elect to license modified versions of this file under the
* terms and conditions of either the GPL or the CDDL or both.
* --------------------------------------------------------------------
*
* This code is based on:
*
* from: @(#)fdlibm.h 5.1 93/09/24
* $FreeBSD: src/lib/msun/src/math.h,v 1.61 2005/04/16 21:12:47 das Exp $
* FreeBSD HEAD 2005-06-xx
*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
#ifndef ___iprt_nocrt_math_h
#define ___iprt_nocrt_math_h
#if !defined(__GNUC__) /* && !defined(__YOUR_COMPILER__) */
# error "IPRT: Adjust this header for your compiler"
#endif
#include <iprt/types.h>
/*#include <machine/_limits.h>*/
/* from sys/cdefs.h */
#if defined(__GNUC__) && !defined(__INTEL_COMPILER)
#define __GNUC_PREREQ__(ma, mi) \
(__GNUC__ > (ma) || __GNUC__ == (ma) && __GNUC_MINOR__ >= (mi))
#else
#define __GNUC_PREREQ__(ma, mi) 0
#endif
#define __pure2
/*
* ANSI/POSIX
*/
extern const union __infinity_un {
unsigned char __uc[8];
double __ud;
} RT_NOCRT(__infinity);
extern const union __nan_un {
unsigned char __uc[sizeof(float)];
float __uf;
} RT_NOCRT(__nan);
#if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
#define __MATH_BUILTIN_CONSTANTS
#endif
#if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
#define __MATH_BUILTIN_RELOPS
#endif
#ifdef __MATH_BUILTIN_CONSTANTS
#define HUGE_VAL __builtin_huge_val()
#else
#define HUGE_VAL (RT_NOCRT(__infinity).__ud)
#endif
#if 1/* __ISO_C_VISIBLE >= 1999*/
#define FP_ILOGB0 (-__INT_MAX)
#define FP_ILOGBNAN __INT_MAX
#ifdef __MATH_BUILTIN_CONSTANTS
#define HUGE_VALF __builtin_huge_valf()
#define HUGE_VALL __builtin_huge_vall()
#define INFINITY __builtin_inf()
#define NAN __builtin_nan("")
#else
#define HUGE_VALF (float)HUGE_VAL
#define HUGE_VALL (long double)HUGE_VAL
#define INFINITY HUGE_VALF
#define NAN (__nan.__uf)
#endif /* __MATH_BUILTIN_CONSTANTS */
#define MATH_ERRNO 1
#define MATH_ERREXCEPT 2
#define math_errhandling MATH_ERREXCEPT
/* XXX We need a <machine/math.h>. */
#if defined(__ia64__) || defined(__sparc64__)
#define FP_FAST_FMA
#endif
#ifdef __ia64__
#define FP_FAST_FMAL
#endif
#define FP_FAST_FMAF
/* Symbolic constants to classify floating point numbers. */
#define FP_INFINITE 0x01
#define FP_NAN 0x02
#define FP_NORMAL 0x04
#define FP_SUBNORMAL 0x08
#define FP_ZERO 0x10
#define fpclassify(x) \
((sizeof (x) == sizeof (float)) ? RT_NOCRT(__fpclassifyf)(x) \
: (sizeof (x) == sizeof (double)) ? RT_NOCRT(__fpclassifyd)(x) \
: RT_NOCRT(__fpclassifyl)(x))
#define isfinite(x) \
((sizeof (x) == sizeof (float)) ? RT_NOCRT(__isfinitef)(x) \
: (sizeof (x) == sizeof (double)) ? RT_NOCRT(__isfinite)(x) \
: RT_NOCRT(__isfinitel)(x))
#define isinf(x) \
((sizeof (x) == sizeof (float)) ? RT_NOCRT(__isinff)(x) \
: (sizeof (x) == sizeof (double)) ? isinf(x) \
: RT_NOCRT(__isinfl)(x))
#define isnan(x) \
((sizeof (x) == sizeof (float)) ? isnanf(x) \
: (sizeof (x) == sizeof (double)) ? isnan(x) \
: RT_NOCRT(__isnanl)(x))
#define isnormal(x) \
((sizeof (x) == sizeof (float)) ? RT_NOCRT(__isnormalf)(x) \
: (sizeof (x) == sizeof (double)) ? RT_NOCRT(__isnormal)(x) \
: RT_NOCRT(__isnormall)(x))
#ifdef __MATH_BUILTIN_RELOPS
#define isgreater(x, y) __builtin_isgreater((x), (y))
#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y))
#define isless(x, y) __builtin_isless((x), (y))
#define islessequal(x, y) __builtin_islessequal((x), (y))
#define islessgreater(x, y) __builtin_islessgreater((x), (y))
#define isunordered(x, y) __builtin_isunordered((x), (y))
#else
#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y))
#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y))
#define isless(x, y) (!isunordered((x), (y)) && (x) < (y))
#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y))
#define islessgreater(x, y) (!isunordered((x), (y)) && \
((x) > (y) || (y) > (x)))
#define isunordered(x, y) (isnan(x) || isnan(y))
#endif /* __MATH_BUILTIN_RELOPS */
#define signbit(x) \
((sizeof (x) == sizeof (float)) ? RT_NOCRT(__signbitf)(x) \
: (sizeof (x) == sizeof (double)) ? RT_NOCRT(__signbit)(x) \
: RT_NOCRT(__signbitl)(x))
typedef double double_t;
typedef float float_t;
#endif /* __ISO_C_VISIBLE >= 1999 */
/*
* XOPEN/SVID
*/
#if 1/* __BSD_VISIBLE || __XSI_VISIBLE*/
#define M_E 2.7182818284590452354 /* e */
#define M_LOG2E 1.4426950408889634074 /* log 2e */
#define M_LOG10E 0.43429448190325182765 /* log 10e */
#define M_LN2 0.69314718055994530942 /* log e2 */
#define M_LN10 2.30258509299404568402 /* log e10 */
#define M_PI 3.14159265358979323846 /* pi */
#define M_PI_2 1.57079632679489661923 /* pi/2 */
#define M_PI_4 0.78539816339744830962 /* pi/4 */
#define M_1_PI 0.31830988618379067154 /* 1/pi */
#define M_2_PI 0.63661977236758134308 /* 2/pi */
#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */
#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
#define MAXFLOAT ((float)3.40282346638528860e+38)
extern int RT_NOCRT(signgam);
#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
#if 1/* __BSD_VISIBLE*/
#if 0
/* Old value from 4.4BSD-Lite math.h; this is probably better. */
#define HUGE HUGE_VAL
#else
#define HUGE MAXFLOAT
#endif
#endif /* __BSD_VISIBLE */
/*
* Most of these functions depend on the rounding mode and have the side
* effect of raising floating-point exceptions, so they are not declared
* as __pure2. In C99, FENV_ACCESS affects the purity of these functions.
*/
__BEGIN_DECLS
/*
* ANSI/POSIX
*/
int RT_NOCRT(__fpclassifyd)(double) __pure2;
int RT_NOCRT(__fpclassifyf)(float) __pure2;
int RT_NOCRT(__fpclassifyl)(long double) __pure2;
int RT_NOCRT(__isfinitef)(float) __pure2;
int RT_NOCRT(__isfinite)(double) __pure2;
int RT_NOCRT(__isfinitel)(long double) __pure2;
int RT_NOCRT(__isinff)(float) __pure2;
int RT_NOCRT(__isinfl)(long double) __pure2;
int RT_NOCRT(__isnanl)(long double) __pure2;
int RT_NOCRT(__isnormalf)(float) __pure2;
int RT_NOCRT(__isnormal)(double) __pure2;
int RT_NOCRT(__isnormall)(long double) __pure2;
int RT_NOCRT(__signbit)(double) __pure2;
int RT_NOCRT(__signbitf)(float) __pure2;
int RT_NOCRT(__signbitl)(long double) __pure2;
double RT_NOCRT(acos)(double);
double RT_NOCRT(asin)(double);
double RT_NOCRT(atan)(double);
double RT_NOCRT(atan2)(double, double);
double RT_NOCRT(cos)(double);
double RT_NOCRT(sin)(double);
double RT_NOCRT(tan)(double);
double RT_NOCRT(cosh)(double);
double RT_NOCRT(sinh)(double);
double RT_NOCRT(tanh)(double);
double RT_NOCRT(exp)(double);
double RT_NOCRT(frexp)(double, int *); /* fundamentally !__pure2 */
double RT_NOCRT(ldexp)(double, int);
double RT_NOCRT(log)(double);
double RT_NOCRT(log10)(double);
double RT_NOCRT(modf)(double, double *); /* fundamentally !__pure2 */
double RT_NOCRT(pow)(double, double);
double RT_NOCRT(sqrt)(double);
double RT_NOCRT(ceil)(double);
double RT_NOCRT(fabs)(double) __pure2;
double RT_NOCRT(floor)(double);
double RT_NOCRT(fmod)(double, double);
/*
* These functions are not in C90.
*/
#if 1 /*__BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE*/
double RT_NOCRT(acosh)(double);
double RT_NOCRT(asinh)(double);
double RT_NOCRT(atanh)(double);
double RT_NOCRT(cbrt)(double);
double RT_NOCRT(erf)(double);
double RT_NOCRT(erfc)(double);
double RT_NOCRT(exp2)(double);
double RT_NOCRT(expm1)(double);
double RT_NOCRT(fma)(double, double, double);
double RT_NOCRT(hypot)(double, double);
int RT_NOCRT(ilogb)(double) __pure2;
/*int isinf(double) __pure2;*/
/*int isnan(double) __pure2;*/
double RT_NOCRT(lgamma)(double);
long long RT_NOCRT(llrint)(double);
long long RT_NOCRT(llround)(double);
double RT_NOCRT(log1p)(double);
double RT_NOCRT(logb)(double);
long RT_NOCRT(lrint)(double);
long RT_NOCRT(lround)(double);
double RT_NOCRT(nextafter)(double, double);
double RT_NOCRT(remainder)(double, double);
double RT_NOCRT(remquo)(double, double, int *);
double RT_NOCRT(rint)(double);
#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */
#if 1/* __BSD_VISIBLE || __XSI_VISIBLE*/
double RT_NOCRT(j0)(double);
double RT_NOCRT(j1)(double);
double RT_NOCRT(jn)(int, double);
double RT_NOCRT(scalb)(double, double);
double RT_NOCRT(y0)(double);
double RT_NOCRT(y1)(double);
double RT_NOCRT(yn)(int, double);
#if 1/* __XSI_VISIBLE <= 500 || __BSD_VISIBLE*/
double RT_NOCRT(gamma)(double);
#endif
#endif /* __BSD_VISIBLE || __XSI_VISIBLE */
#if 1/* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999*/
double RT_NOCRT(copysign)(double, double) __pure2;
double RT_NOCRT(fdim)(double, double);
double RT_NOCRT(fmax)(double, double) __pure2;
double RT_NOCRT(fmin)(double, double) __pure2;
double RT_NOCRT(nearbyint)(double);
double RT_NOCRT(round)(double);
double RT_NOCRT(scalbln)(double, long);
double RT_NOCRT(scalbn)(double, int);
double RT_NOCRT(tgamma)(double);
double RT_NOCRT(trunc)(double);
#endif
/*
* BSD math library entry points
*/
#if 1/* __BSD_VISIBLE*/
double RT_NOCRT(drem)(double, double);
int RT_NOCRT(finite)(double) __pure2;
int RT_NOCRT(isnanf)(float) __pure2;
/*
* Reentrant version of gamma & lgamma; passes signgam back by reference
* as the second argument; user must allocate space for signgam.
*/
double RT_NOCRT(gamma_r)(double, int *);
double RT_NOCRT(lgamma_r)(double, int *);
/*
* IEEE Test Vector
*/
double RT_NOCRT(significand)(double);
#endif /* __BSD_VISIBLE */
/* float versions of ANSI/POSIX functions */
#if 1/* __ISO_C_VISIBLE >= 1999*/
float RT_NOCRT(acosf)(float);
float RT_NOCRT(asinf)(float);
float RT_NOCRT(atanf)(float);
float RT_NOCRT(atan2f)(float, float);
float RT_NOCRT(cosf)(float);
float RT_NOCRT(sinf)(float);
float RT_NOCRT(tanf)(float);
float RT_NOCRT(coshf)(float);
float RT_NOCRT(sinhf)(float);
float RT_NOCRT(tanhf)(float);
float RT_NOCRT(exp2f)(float);
float RT_NOCRT(expf)(float);
float RT_NOCRT(expm1f)(float);
float RT_NOCRT(frexpf)(float, int *); /* fundamentally !__pure2 */
int RT_NOCRT(ilogbf)(float) __pure2;
float RT_NOCRT(ldexpf)(float, int);
float RT_NOCRT(log10f)(float);
float RT_NOCRT(log1pf)(float);
float RT_NOCRT(logf)(float);
float RT_NOCRT(modff)(float, float *); /* fundamentally !__pure2 */
float RT_NOCRT(powf)(float, float);
float RT_NOCRT(sqrtf)(float);
float RT_NOCRT(ceilf)(float);
float RT_NOCRT(fabsf)(float) __pure2;
float RT_NOCRT(floorf)(float);
float RT_NOCRT(fmodf)(float, float);
float RT_NOCRT(roundf)(float);
float RT_NOCRT(erff)(float);
float RT_NOCRT(erfcf)(float);
float RT_NOCRT(hypotf)(float, float);
float RT_NOCRT(lgammaf)(float);
float RT_NOCRT(acoshf)(float);
float RT_NOCRT(asinhf)(float);
float RT_NOCRT(atanhf)(float);
float RT_NOCRT(cbrtf)(float);
float RT_NOCRT(logbf)(float);
float RT_NOCRT(copysignf)(float, float) __pure2;
long long RT_NOCRT(llrintf)(float);
long long RT_NOCRT(llroundf)(float);
long RT_NOCRT(lrintf)(float);
long RT_NOCRT(lroundf)(float);
float RT_NOCRT(nearbyintf)(float);
float RT_NOCRT(nextafterf)(float, float);
float RT_NOCRT(remainderf)(float, float);
float RT_NOCRT(remquof)(float, float, int *);
float RT_NOCRT(rintf)(float);
float RT_NOCRT(scalblnf)(float, long);
float RT_NOCRT(scalbnf)(float, int);
float RT_NOCRT(truncf)(float);
float RT_NOCRT(fdimf)(float, float);
float RT_NOCRT(fmaf)(float, float, float);
float RT_NOCRT(fmaxf)(float, float) __pure2;
float RT_NOCRT(fminf)(float, float) __pure2;
#endif
/*
* float versions of BSD math library entry points
*/
#if 1/* __BSD_VISIBLE*/
float RT_NOCRT(dremf)(float, float);
int RT_NOCRT(finitef)(float) __pure2;
float RT_NOCRT(gammaf)(float);
float RT_NOCRT(j0f)(float);
float RT_NOCRT(j1f)(float);
float RT_NOCRT(jnf)(int, float);
float RT_NOCRT(scalbf)(float, float);
float RT_NOCRT(y0f)(float);
float RT_NOCRT(y1f)(float);
float RT_NOCRT(ynf)(int, float);
/*
* Float versions of reentrant version of gamma & lgamma; passes
* signgam back by reference as the second argument; user must
* allocate space for signgam.
*/
float RT_NOCRT(gammaf_r)(float, int *);
float RT_NOCRT(lgammaf_r)(float, int *);
/*
* float version of IEEE Test Vector
*/
float RT_NOCRT(significandf)(float);
#endif /* __BSD_VISIBLE */
/*
* long double versions of ISO/POSIX math functions
*/
#if 1/* __ISO_C_VISIBLE >= 1999*/
#if 1 /* bird: we've got these */
long double RT_NOCRT(acoshl)(long double);
long double RT_NOCRT(acosl)(long double);
long double RT_NOCRT(asinhl)(long double);
long double RT_NOCRT(asinl)(long double);
long double RT_NOCRT(atan2l)(long double, long double);
long double RT_NOCRT(atanhl)(long double);
long double RT_NOCRT(atanl)(long double);
long double RT_NOCRT(cbrtl)(long double);
#endif
long double RT_NOCRT(ceill)(long double);
long double RT_NOCRT(copysignl)(long double, long double) __pure2;
#if 1 /* bird */
long double RT_NOCRT(coshl)(long double);
long double RT_NOCRT(cosl)(long double);
long double RT_NOCRT(erfcl)(long double);
long double RT_NOCRT(erfl)(long double);
long double RT_NOCRT(exp2l)(long double);
long double RT_NOCRT(expl)(long double);
long double RT_NOCRT(expm1l)(long double);
#endif
long double RT_NOCRT(fabsl)(long double) __pure2;
long double RT_NOCRT(fdiml)(long double, long double);
long double RT_NOCRT(floorl)(long double);
long double RT_NOCRT(fmal)(long double, long double, long double);
long double RT_NOCRT(fmaxl)(long double, long double) __pure2;
long double RT_NOCRT(fminl)(long double, long double) __pure2;
#if 1 /* bird */
long double RT_NOCRT(fmodl)(long double, long double);
#endif
long double RT_NOCRT(frexpl)(long double value, int *); /* fundamentally !__pure2 */
#if 1 /* bird */
long double RT_NOCRT(hypotl)(long double, long double);
#endif
int RT_NOCRT(ilogbl)(long double) __pure2;
long double RT_NOCRT(ldexpl)(long double, int);
#if 1 /* bird */
long double RT_NOCRT(lgammal)(long double);
long long RT_NOCRT(llrintl)(long double);
#endif
long long RT_NOCRT(llroundl)(long double);
#if 1 /* bird */
long double RT_NOCRT(log10l)(long double);
long double RT_NOCRT(log1pl)(long double);
long double RT_NOCRT(log2l)(long double);
long double RT_NOCRT(logbl)(long double);
long double RT_NOCRT(logl)(long double);
long RT_NOCRT(lrintl)(long double);
#endif
long RT_NOCRT(lroundl)(long double);
#if 1 /* bird */
long double RT_NOCRT(modfl)(long double, long double *); /* fundamentally !__pure2 */
long double RT_NOCRT(nanl)(const char *) __pure2;
long double RT_NOCRT(nearbyintl)(long double);
#endif
long double RT_NOCRT(nextafterl)(long double, long double);
double RT_NOCRT(nexttoward)(double, long double);
float RT_NOCRT(nexttowardf)(float, long double);
long double RT_NOCRT(nexttowardl)(long double, long double);
#if 1 /* bird */
long double RT_NOCRT(powl)(long double, long double);
long double RT_NOCRT(remainderl)(long double, long double);
long double RT_NOCRT(remquol)(long double, long double, int *);
long double RT_NOCRT(rintl)(long double);
#endif
long double RT_NOCRT(roundl)(long double);
long double RT_NOCRT(scalblnl)(long double, long);
long double RT_NOCRT(scalbnl)(long double, int);
#if 1 /* bird: we 've got most of these. */
long double RT_NOCRT(sinhl)(long double);
long double RT_NOCRT(sinl)(long double);
long double RT_NOCRT(sqrtl)(long double);
long double RT_NOCRT(tanhl)(long double);
long double RT_NOCRT(tanl)(long double);
long double RT_NOCRT(tgammal)(long double);
#endif
long double RT_NOCRT(truncl)(long double);
/* bird: these were missing, gcc apparently inlines them. */
double RT_NOCRT(nan)(const char *);
float RT_NOCRT(nanf)(const char *);
#endif /* __ISO_C_VISIBLE >= 1999 */
#if 1/*def __USE_GNU*/
/*
* In GLIBC there are long variants of the XOPEN/SVID constant
* block some pages ago. We need this to get the math tests going.
*/
#define M_El 2.7182818284590452353602874713526625L
#define M_LOG2El 1.4426950408889634073599246810018921L
#define M_LOG10El 0.4342944819032518276511289189166051L
#define M_LN2l 0.6931471805599453094172321214581766L
#define M_LN10l 2.3025850929940456840179914546843642L
#define M_PIl 3.1415926535897932384626433832795029L
#define M_PI_2l 1.5707963267948966192313216916397514L
#define M_PI_4l 0.7853981633974483096156608458198757L
#define M_1_PIl 0.3183098861837906715377675267450287L
#define M_2_PIl 0.6366197723675813430755350534900574L
#define M_2_SQRTPIl 1.1283791670955125738961589031215452L
#define M_SQRT2l 1.4142135623730950488016887242096981L
#define M_SQRT1_2l 0.7071067811865475244008443621048490L
#endif
#if 1/*def __USE_GNU*/
void RT_NOCRT(sincos)(double, double *, double *);
void RT_NOCRT(sincosf)(float, float *, float *);
void RT_NOCRT(sincosl)(long double, long double *, long double *);
float RT_NOCRT(exp10f)(float);
double RT_NOCRT(exp10)(double);
long double RT_NOCRT(exp10l)(long double);
float RT_NOCRT(log2f)(float);
double RT_NOCRT(log2)(double);
long double RT_NOCRT(log2l)(long double);
float RT_NOCRT(tgammaf)(float);
long double RT_NOCRT(significandl)(long double);
long double RT_NOCRT(j0l)(long double);
long double RT_NOCRT(j1l)(long double);
long double RT_NOCRT(jnl)(int, long double);
long double RT_NOCRT(scalbl)(long double, long double);
long double RT_NOCRT(y0l)(long double);
long double RT_NOCRT(y1l)(long double);
long double RT_NOCRT(ynl)(int, long double);
long double RT_NOCRT(lgammal_r)(long double,int *);
long double RT_NOCRT(gammal)(long double);
#endif
__END_DECLS
#if !defined(RT_WITHOUT_NOCRT_WRAPPERS) && !defined(RT_WITHOUT_NOCRT_WRAPPER_ALIASES)
/* sed -e "/#/d" -e "/RT_NOCRT/!d" -e "s/^.*RT_NOCRT(\([a-z0-9_]*\)).*$/# define \1 RT_NOCRT(\1)/" */
# define __infinity RT_NOCRT(__infinity)
# define __nan RT_NOCRT(__nan)
# define __fpclassifyf RT_NOCRT(__fpclassifyf)
# define __fpclassifyd RT_NOCRT(__fpclassifyd)
# define __fpclassifyl RT_NOCRT(__fpclassifyl)
# define __isfinitef RT_NOCRT(__isfinitef)
# define __isfinite RT_NOCRT(__isfinite)
# define __isfinitel RT_NOCRT(__isfinitel)
# define __isinff RT_NOCRT(__isinff)
# define __isinfl RT_NOCRT(__isinfl)
# define __isnanl RT_NOCRT(__isnanl)
# define __isnormalf RT_NOCRT(__isnormalf)
# define __isnormal RT_NOCRT(__isnormal)
# define __isnormall RT_NOCRT(__isnormall)
# define __signbitf RT_NOCRT(__signbitf)
# define __signbit RT_NOCRT(__signbit)
# define __signbitl RT_NOCRT(__signbitl)
# define signgam RT_NOCRT(signgam)
# define __fpclassifyd RT_NOCRT(__fpclassifyd)
# define __fpclassifyf RT_NOCRT(__fpclassifyf)
# define __fpclassifyl RT_NOCRT(__fpclassifyl)
# define __isfinitef RT_NOCRT(__isfinitef)
# define __isfinite RT_NOCRT(__isfinite)
# define __isfinitel RT_NOCRT(__isfinitel)
# define __isinff RT_NOCRT(__isinff)
# define __isinfl RT_NOCRT(__isinfl)
# define __isnanl RT_NOCRT(__isnanl)
# define __isnormalf RT_NOCRT(__isnormalf)
# define __isnormal RT_NOCRT(__isnormal)
# define __isnormall RT_NOCRT(__isnormall)
# define __signbit RT_NOCRT(__signbit)
# define __signbitf RT_NOCRT(__signbitf)
# define __signbitl RT_NOCRT(__signbitl)
# define acos RT_NOCRT(acos)
# define asin RT_NOCRT(asin)
# define atan RT_NOCRT(atan)
# define atan2 RT_NOCRT(atan2)
# define cos RT_NOCRT(cos)
# define sin RT_NOCRT(sin)
# define tan RT_NOCRT(tan)
# define cosh RT_NOCRT(cosh)
# define sinh RT_NOCRT(sinh)
# define tanh RT_NOCRT(tanh)
# define exp RT_NOCRT(exp)
# define frexp RT_NOCRT(frexp)
# define ldexp RT_NOCRT(ldexp)
# define log RT_NOCRT(log)
# define log10 RT_NOCRT(log10)
# define modf RT_NOCRT(modf)
# define pow RT_NOCRT(pow)
# define sqrt RT_NOCRT(sqrt)
# define ceil RT_NOCRT(ceil)
# define fabs RT_NOCRT(fabs)
# define floor RT_NOCRT(floor)
# define fmod RT_NOCRT(fmod)
# define acosh RT_NOCRT(acosh)
# define asinh RT_NOCRT(asinh)
# define atanh RT_NOCRT(atanh)
# define cbrt RT_NOCRT(cbrt)
# define erf RT_NOCRT(erf)
# define erfc RT_NOCRT(erfc)
# define exp2 RT_NOCRT(exp2)
# define expm1 RT_NOCRT(expm1)
# define fma RT_NOCRT(fma)
# define hypot RT_NOCRT(hypot)
# define ilogb RT_NOCRT(ilogb)
# define lgamma RT_NOCRT(lgamma)
# define llrint RT_NOCRT(llrint)
# define llround RT_NOCRT(llround)
# define log1p RT_NOCRT(log1p)
# define logb RT_NOCRT(logb)
# define lrint RT_NOCRT(lrint)
# define lround RT_NOCRT(lround)
# define nextafter RT_NOCRT(nextafter)
# define remainder RT_NOCRT(remainder)
# define remquo RT_NOCRT(remquo)
# define rint RT_NOCRT(rint)
# define j0 RT_NOCRT(j0)
# define j1 RT_NOCRT(j1)
# define jn RT_NOCRT(jn)
# define scalb RT_NOCRT(scalb)
# define y0 RT_NOCRT(y0)
# define y1 RT_NOCRT(y1)
# define yn RT_NOCRT(yn)
# define gamma RT_NOCRT(gamma)
# define copysign RT_NOCRT(copysign)
# define fdim RT_NOCRT(fdim)
# define fmax RT_NOCRT(fmax)
# define fmin RT_NOCRT(fmin)
# define nearbyint RT_NOCRT(nearbyint)
# define round RT_NOCRT(round)
# define scalbln RT_NOCRT(scalbln)
# define scalbn RT_NOCRT(scalbn)
# define tgamma RT_NOCRT(tgamma)
# define trunc RT_NOCRT(trunc)
# define drem RT_NOCRT(drem)
# define finite RT_NOCRT(finite)
# define isnanf RT_NOCRT(isnanf)
# define gamma_r RT_NOCRT(gamma_r)
# define lgamma_r RT_NOCRT(lgamma_r)
# define significand RT_NOCRT(significand)
# define acosf RT_NOCRT(acosf)
# define asinf RT_NOCRT(asinf)
# define atanf RT_NOCRT(atanf)
# define atan2f RT_NOCRT(atan2f)
# define cosf RT_NOCRT(cosf)
# define sinf RT_NOCRT(sinf)
# define tanf RT_NOCRT(tanf)
# define coshf RT_NOCRT(coshf)
# define sinhf RT_NOCRT(sinhf)
# define tanhf RT_NOCRT(tanhf)
# define exp2f RT_NOCRT(exp2f)
# define expf RT_NOCRT(expf)
# define expm1f RT_NOCRT(expm1f)
# define frexpf RT_NOCRT(frexpf)
# define ilogbf RT_NOCRT(ilogbf)
# define ldexpf RT_NOCRT(ldexpf)
# define log10f RT_NOCRT(log10f)
# define log1pf RT_NOCRT(log1pf)
# define logf RT_NOCRT(logf)
# define modff RT_NOCRT(modff)
# define powf RT_NOCRT(powf)
# define sqrtf RT_NOCRT(sqrtf)
# define ceilf RT_NOCRT(ceilf)
# define fabsf RT_NOCRT(fabsf)
# define floorf RT_NOCRT(floorf)
# define fmodf RT_NOCRT(fmodf)
# define roundf RT_NOCRT(roundf)
# define erff RT_NOCRT(erff)
# define erfcf RT_NOCRT(erfcf)
# define hypotf RT_NOCRT(hypotf)
# define lgammaf RT_NOCRT(lgammaf)
# define acoshf RT_NOCRT(acoshf)
# define asinhf RT_NOCRT(asinhf)
# define atanhf RT_NOCRT(atanhf)
# define cbrtf RT_NOCRT(cbrtf)
# define logbf RT_NOCRT(logbf)
# define copysignf RT_NOCRT(copysignf)
# define llrintf RT_NOCRT(llrintf)
# define llroundf RT_NOCRT(llroundf)
# define lrintf RT_NOCRT(lrintf)
# define lroundf RT_NOCRT(lroundf)
# define nearbyintf RT_NOCRT(nearbyintf)
# define nextafterf RT_NOCRT(nextafterf)
# define remainderf RT_NOCRT(remainderf)
# define remquof RT_NOCRT(remquof)
# define rintf RT_NOCRT(rintf)
# define scalblnf RT_NOCRT(scalblnf)
# define scalbnf RT_NOCRT(scalbnf)
# define truncf RT_NOCRT(truncf)
# define fdimf RT_NOCRT(fdimf)
# define fmaf RT_NOCRT(fmaf)
# define fmaxf RT_NOCRT(fmaxf)
# define fminf RT_NOCRT(fminf)
# define dremf RT_NOCRT(dremf)
# define finitef RT_NOCRT(finitef)
# define gammaf RT_NOCRT(gammaf)
# define j0f RT_NOCRT(j0f)
# define j1f RT_NOCRT(j1f)
# define jnf RT_NOCRT(jnf)
# define scalbf RT_NOCRT(scalbf)
# define y0f RT_NOCRT(y0f)
# define y1f RT_NOCRT(y1f)
# define ynf RT_NOCRT(ynf)
# define gammaf_r RT_NOCRT(gammaf_r)
# define lgammaf_r RT_NOCRT(lgammaf_r)
# define significandf RT_NOCRT(significandf)
# define acoshl RT_NOCRT(acoshl)
# define acosl RT_NOCRT(acosl)
# define asinhl RT_NOCRT(asinhl)
# define asinl RT_NOCRT(asinl)
# define atan2l RT_NOCRT(atan2l)
# define atanhl RT_NOCRT(atanhl)
# define atanl RT_NOCRT(atanl)
# define cbrtl RT_NOCRT(cbrtl)
# define ceill RT_NOCRT(ceill)
# define copysignl RT_NOCRT(copysignl)
# define coshl RT_NOCRT(coshl)
# define cosl RT_NOCRT(cosl)
# define erfcl RT_NOCRT(erfcl)
# define erfl RT_NOCRT(erfl)
# define exp2l RT_NOCRT(exp2l)
# define expl RT_NOCRT(expl)
# define expm1l RT_NOCRT(expm1l)
# define fabsl RT_NOCRT(fabsl)
# define fdiml RT_NOCRT(fdiml)
# define floorl RT_NOCRT(floorl)
# define fmal RT_NOCRT(fmal)
# define fmaxl RT_NOCRT(fmaxl)
# define fminl RT_NOCRT(fminl)
# define fmodl RT_NOCRT(fmodl)
# define frexpl RT_NOCRT(frexpl)
# define hypotl RT_NOCRT(hypotl)
# define ilogbl RT_NOCRT(ilogbl)
# define ldexpl RT_NOCRT(ldexpl)
# define lgammal RT_NOCRT(lgammal)
# define llrintl RT_NOCRT(llrintl)
# define llroundl RT_NOCRT(llroundl)
# define log10l RT_NOCRT(log10l)
# define log1pl RT_NOCRT(log1pl)
# define log2l RT_NOCRT(log2l)
# define logbl RT_NOCRT(logbl)
# define logl RT_NOCRT(logl)
# define lrintl RT_NOCRT(lrintl)
# define lroundl RT_NOCRT(lroundl)
# define modfl RT_NOCRT(modfl)
# define nanl RT_NOCRT(nanl)
# define nearbyintl RT_NOCRT(nearbyintl)
# define nextafterl RT_NOCRT(nextafterl)
# define nexttoward RT_NOCRT(nexttoward)
# define nexttowardf RT_NOCRT(nexttowardf)
# define nexttowardl RT_NOCRT(nexttowardl)
# define powl RT_NOCRT(powl)
# define remainderl RT_NOCRT(remainderl)
# define remquol RT_NOCRT(remquol)
# define rintl RT_NOCRT(rintl)
# define roundl RT_NOCRT(roundl)
# define scalblnl RT_NOCRT(scalblnl)
# define scalbnl RT_NOCRT(scalbnl)
# define sinhl RT_NOCRT(sinhl)
# define sinl RT_NOCRT(sinl)
# define sqrtl RT_NOCRT(sqrtl)
# define tanhl RT_NOCRT(tanhl)
# define tanl RT_NOCRT(tanl)
# define tgammal RT_NOCRT(tgammal)
# define truncl RT_NOCRT(truncl)
# define nan RT_NOCRT(nan)
# define nanf RT_NOCRT(nanf)
# define sincos RT_NOCRT(sincos)
# define sincosf RT_NOCRT(sincosf)
# define sincosl RT_NOCRT(sincosl)
# define exp10f RT_NOCRT(exp10f)
# define exp10 RT_NOCRT(exp10)
# define exp10l RT_NOCRT(exp10l)
# define log2f RT_NOCRT(log2f)
# define log2 RT_NOCRT(log2)
# define log2l RT_NOCRT(log2l)
# define tgammaf RT_NOCRT(tgammaf)
# define significandl RT_NOCRT(significandl)
# define j0l RT_NOCRT(j0l)
# define j1l RT_NOCRT(j1l)
# define jnl RT_NOCRT(jnl)
# define scalbl RT_NOCRT(scalbl)
# define y0l RT_NOCRT(y0l)
# define y1l RT_NOCRT(y1l)
# define ynl RT_NOCRT(ynl)
# define lgammal_r RT_NOCRT(lgammal_r)
# define gammal RT_NOCRT(gammal)
#endif
/*
* Include inlined implementations.
*/
#ifdef RT_ARCH_AMD64
# include <iprt/nocrt/amd64/math.h>
#elif defined(RT_ARCH_X86)
# include <iprt/nocrt/x86/math.h>
#endif
#endif