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sortix--sortix/libm/include/math.h

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/*-
* Copyright (c) 2013 Jonas 'Sortie' Termansen.
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
* IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#ifndef INCLUDE_MATH_H
#define INCLUDE_MATH_H
#include <sys/cdefs.h>
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#ifndef __sortix_libm__
#define __sortix_libm__ 1
#endif
#if defined(__sortix__)
#include <__/limits.h>
#include <__/wordsize.h>
#elif defined(__GNU_LIBRARY__)
#include <bits/wordsize.h>
#endif
#include <__/math.h>
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#ifdef __cplusplus
extern "C" {
#endif
#define __fpmacro_unary_floating(__name, __arg0) \
/* LINTED */ \
((sizeof (__arg0) == sizeof (float)) \
? __ ## __name ## f (__arg0) \
: (sizeof (__arg0) == sizeof (double)) \
? __ ## __name ## d (__arg0) \
: __ ## __name ## l (__arg0))
/* ANSI/POSIX macros */
#define HUGE_VAL __builtin_huge_val()
/* C99 macros */
#if __USE_SORTIX || 1999 <= __USE_C
#define FP_ILOGB0 (-__INT_MAX)
#define FP_ILOGBNAN __INT_MAX
#define HUGE_VALF __builtin_huge_valf()
#define HUGE_VALL __builtin_huge_vall()
#define INFINITY __builtin_inff()
#define NAN __builtin_nanf("")
/* TODO: What does this entail and is that really how this libm does it? */
#define MATH_ERRNO 1
#define MATH_ERREXCEPT 2
#define math_errhandling MATH_ERREXCEPT
/* TODO: Is it really true that fma is faster in these cases? */
#if defined(__ia64__) || defined(__sparc64__)
#define FP_FAST_FMA 1
#endif
#ifdef __ia64__
#define FP_FAST_FMAL 1
#endif
#define FP_FAST_FMAF 1 /* TODO: Is this really true in all cases? */
/* Symbolic constants to classify floating point numbers. */
#define FP_INFINITE 0x00
#define FP_NAN 0x01
#define FP_NORMAL 0x02
#define FP_SUBNORMAL 0x03
#define FP_ZERO 0x04
/* NetBSD extensions */
#define _FP_LOMD 0x80 /* range for machine-specific classes */
#define _FP_HIMD 0xff
#define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
#define isfinite(__x) __fpmacro_unary_floating(isfinite, __x)
#define isinf(__x) __fpmacro_unary_floating(isinf, __x)
#define isnan(__x) __fpmacro_unary_floating(isnan, __x)
#define isnormal(__x) (fpclassify(__x) == FP_NORMAL)
#define signbit(__x) __fpmacro_unary_floating(signbit, __x)
#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))
typedef __double_t double_t;
typedef __float_t float_t;
#endif /* __USE_SORTIX || 1999 <= __USE_C */
/* XOPEN/SVID macros */
#if __USE_SORTIX || __USE_XOPEN
#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) */
/* TODO: MAXFLOAT is obsoleted by FLT_MAX of float.h. */
#define MAXFLOAT ((float)3.40282346638528860e+38)
extern int signgam;
#endif /* __USE_SORTIX || __USE_XOPEN */
/* Various extensions inherited from NetBSD libm. Perhaps we should get rid of
some of them or make them private to libm itself, or just rename them. */
#if __USE_SORTIX
enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
#define _LIB_VERSION_TYPE enum fdversion
#define _LIB_VERSION _fdlib_version
/* if global variable _LIB_VERSION is not desirable, one may
* change the following to be a constant by:
* #define _LIB_VERSION_TYPE const enum version
* In that case, after one initializes the value _LIB_VERSION (see
* s_lib_version.c) during compile time, it cannot be modified
* in the middle of a program
*/
extern _LIB_VERSION_TYPE _LIB_VERSION;
#define _IEEE_ fdlibm_ieee
#define _SVID_ fdlibm_svid
#define _XOPEN_ fdlibm_xopen
#define _POSIX_ fdlibm_posix
#ifndef __cplusplus
struct exception
{
int type;
const char* name;
double arg1;
double arg2;
double retval;
};
#endif
#define HUGE MAXFLOAT
/*
* set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
* (one may replace the following line by "#include <values.h>")
*/
#define X_TLOSS 1.41484755040568800000e+16
#define DOMAIN 1
#define SING 2
#define OVERFLOW 3
#define UNDERFLOW 4
#define TLOSS 5
#define PLOSS 6
#endif /* __USE_SORTIX */
/*
* 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.
*/
/*
* ANSI/POSIX
*/
double acos(double);
double asin(double);
double atan(double);
double atan2(double, double);
double cos(double);
double sin(double);
double tan(double);
double cosh(double);
double sinh(double);
double tanh(double);
double exp(double);
double exp2(double);
double frexp(double, int*);
double ldexp(double, int);
double log(double);
double log2(double);
double log10(double);
double modf(double, double*);
double pow(double, double);
double sqrt(double);
double ceil(double);
double fabs(double);
double floor(double);
double fmod(double, double);
#if __USE_SORTIX || 1999 <= __USE_C || __USE_XOPEN
double erf(double);
double erfc(double);
double gamma(double);
double hypot(double, double);
int finite(double);
double j0(double);
double j1(double);
double jn(int, double);
double lgamma(double);
double y0(double);
double y1(double);
double yn(int, double);
#endif /* __USE_SORTIX || 1999 <= __USE_C || __USE_XOPEN */
#if __USE_SORTIX || 1999 <= __USE_C || 500 <= __USE_XOPEN
double acosh(double);
double asinh(double);
double atanh(double);
double cbrt(double);
double expm1(double);
int ilogb(double);
double log1p(double);
double logb(double);
double nextafter(double, double);
double remainder(double, double);
double rint(double);
double scalb(double, double);
#endif /* __USE_SORTIX || 1999 <= __USE_C || 500 <= __USE_XOPEN */
/*
* ISO C99
*/
#if __USE_SORTIX || 1999 <= __USE_C
/* 7.12.3.1 int fpclassify(real-floating x) */
#define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
/* 7.12.3.2 int isfinite(real-floating x) */
#define isfinite(__x) __fpmacro_unary_floating(isfinite, __x)
/* 7.12.3.5 int isnormal(real-floating x) */
#define isnormal(__x) (fpclassify(__x) == FP_NORMAL)
/* 7.12.3.6 int signbit(real-floating x) */
#define signbit(__x) __fpmacro_unary_floating(signbit, __x)
/* 7.12.4 trigonometric */
float acosf(float);
float asinf(float);
float atanf(float);
float atan2f(float, float);
float cosf(float);
float sinf(float);
float tanf(float);
/* 7.12.5 hyperbolic */
float acoshf(float);
float asinhf(float);
float atanhf(float);
float coshf(float);
float sinhf(float);
float tanhf(float);
/* 7.12.6 exp / log */
float expf(float);
float exp2f(float);
float expm1f(float);
float frexpf(float, int*);
int ilogbf(float);
float ldexpf(float, int);
float logf(float);
float log2f(float);
float log10f(float);
float log1pf(float);
float logbf(float);
float modff(float, float*);
float scalbnf(float, int);
/* 7.12.7 power / absolute */
float cbrtf(float);
float fabsf(float);
long double fabsl(long double);
float hypotf(float, float);
float powf(float, float);
float sqrtf(float);
/* 7.12.8 error / gamma */
float erff(float);
float erfcf(float);
float lgammaf(float);
float tgammaf(float);
double tgamma(double);
/* 7.12.9 nearest integer */
float ceilf(float);
float floorf(float);
float rintf(float);
double round(double);
float roundf(float);
double trunc(double);
float truncf(float);
long int lrint(double);
long int lrintf(float);
long long int llrint(double);
long long int llrintf(float);
long int lround(double);
long int lroundf(float);
long long int llround(double);
long long int llroundf(float);
/* 7.12.10 remainder */
float fmodf(float, float);
float remainderf(float, float);
/* 7.12.10.3 The remquo functions */
double remquo(double, double, int*);
float remquof(float, float, int*);
/* 7.12.11 manipulation */
float copysignf(float, float);
long double copysignl(long double, long double);
double nan(const char*);
float nanf(const char*);
long double nanl(const char*);
float nextafterf(float, float);
long double nextafterl(long double, long double);
double nexttoward(double, long double);
/* 7.12.14 comparison */
#define isunordered(x, y) __builtin_isunordered((x), (y))
#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))
double fdim(double, double);
double fmax(double, double);
double fmin(double, double);
float fdimf(float, float);
float fmaxf(float, float);
float fminf(float, float);
long double fdiml(long double, long double);
long double fmaxl(long double, long double);
long double fminl(long double, long double);
/* 7.12.3.3 int isinf(real-floating x) */
#define isinf(__x) __fpmacro_unary_floating(isinf, __x)
/* 7.12.3.4 int isnan(real-floating x) */
#define isnan(__x) __fpmacro_unary_floating(isnan, __x)
#endif /* __USE_SORTIX || 1999 <= __USE_C */
#if __USE_SORTIX
#ifndef __cplusplus
int matherr(struct exception*);
#endif
/*
* IEEE Test Vector
*/
double significand(double);
/*
* Functions callable from C, intended to support IEEE arithmetic.
*/
double copysign(double, double);
double scalbn(double, int);
/*
* BSD math library entry points
*/
double drem(double, double);
#endif /* __USE_SORTIX */
#if __USE_SORTIX /* or _REENTRANT */
/*
* Reentrant version of gamma & lgamma; passes signgam back by reference
* as the second argument; user must allocate space for signgam.
*/
double gamma_r(double, int*);
double lgamma_r(double, int*);
#endif /* __USE_SORTIX */
#if __USE_SORTIX
/* float versions of ANSI/POSIX functions */
float gammaf(float);
int isinff(float);
int isnanf(float);
int finitef(float);
float j0f(float);
float j1f(float);
float jnf(int, float);
float y0f(float);
float y1f(float);
float ynf(int, float);
float scalbf(float, float);
/*
* float version of IEEE Test Vector
*/
float significandf(float);
/*
* float versions of BSD math library entry points
*/
float dremf(float, float);
#endif /* __USE_SORTIX */
#if __USE_SORTIX /* or _REENTRANT */
/*
* Float versions of reentrant version of gamma & lgamma; passes
* signgam back by reference as the second argument; user must
* allocate space for signgam.
*/
float gammaf_r(float, int*);
float lgammaf_r(float, int*);
#endif /* __USE_SORTIX */
/*
* Library implementation
*/
int __fpclassifyf(float);
int __fpclassifyd(double);
int __isfinitef(float);
int __isfinited(double);
int __isinff(float);
int __isinfd(double);
int __isnanf(float);
int __isnand(double);
int __signbitf(float);
int __signbitd(double);
int __fpclassifyl(long double);
int __isfinitel(long double);
int __isinfl(long double);
int __isnanl(long double);
int __signbitl(long double);
int ilogbl(long double);
long double logbl(long double);
long double scalbnl(long double, int);
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#ifdef __cplusplus
} /* extern "C" */
#endif
#endif