/* $OpenBSD: math.h,v 1.35 2016/03/17 20:55:35 jca Exp $ */ /* * ==================================================== * 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. * ==================================================== */ /* * from: @(#)fdlibm.h 5.1 93/09/24 */ #ifndef _MATH_H_ #define _MATH_H_ #include #include __BEGIN_DECLS /* * ANSI/POSIX */ extern char __infinity[]; #if __GNUC_PREREQ__(3, 3) #define HUGE_VAL __builtin_huge_val() #else /* __GNUC_PREREQ__(3, 3) */ #define HUGE_VAL (*(double *)(void *)__infinity) #endif /* __GNUC_PREREQ__(3, 3) */ /* * C99 */ #if __ISO_C_VISIBLE >= 1999 typedef __double_t double_t; typedef __float_t float_t; #if __GNUC_PREREQ__(3, 3) #define HUGE_VALF __builtin_huge_valf() #define HUGE_VALL __builtin_huge_vall() #define INFINITY __builtin_inff() #define NAN __builtin_nanf("") #else /* __GNUC_PREREQ__(3, 3) */ #define HUGE_VALF ((float)HUGE_VAL) #define HUGE_VALL ((long double)HUGE_VAL) #define INFINITY HUGE_VALF extern char __nan[]; #define NAN (*(float *)(void *)__nan) #endif /* __GNUC_PREREQ__(3, 3) */ #define FP_INFINITE 0x01 #define FP_NAN 0x02 #define FP_NORMAL 0x04 #define FP_SUBNORMAL 0x08 #define FP_ZERO 0x10 #define FP_ILOGB0 (-INT_MAX) #define FP_ILOGBNAN INT_MAX #ifdef __FP_FAST_FMA #define FP_FAST_FMA 1 #endif /* __FP_FAST_FMA */ #ifdef __FP_FAST_FMAF #define FP_FAST_FMAF 1 #endif /* __FP_FAST_FMAF */ #ifdef __FP_FAST_FMAL #define FP_FAST_FMAL 1 #endif /* __FP_FAST_FMAL */ #define MATH_ERRNO 1 #define MATH_ERREXCEPT 2 #define math_errhandling MATH_ERREXCEPT #define fpclassify(x) __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL, FP_SUBNORMAL, FP_ZERO, x) #define isfinite(x) __builtin_isfinite(x) #define isnormal(x) __builtin_isnormal(x) #define signbit(x) __builtin_signbit(x) #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 /* __ISO_C_VISIBLE >= 1999 */ #define isinf(x) __builtin_isinf(x) #define isnan(x) __builtin_isnan(x) /* * XOPEN/SVID */ #if __BSD_VISIBLE || __XPG_VISIBLE #define M_E ((double)2.7182818284590452354) /* e */ #define M_LOG2E ((double)1.4426950408889634074) /* log 2e */ #define M_LOG10E ((double)0.43429448190325182765) /* log 10e */ #define M_LN2 ((double)0.69314718055994530942) /* log e2 */ #define M_LN10 ((double)2.30258509299404568402) /* log e10 */ #define M_PI ((double)3.14159265358979323846) /* pi */ #define M_PI_2 ((double)1.57079632679489661923) /* pi/2 */ #define M_PI_4 ((double)0.78539816339744830962) /* pi/4 */ #define M_1_PI ((double)0.31830988618379067154) /* 1/pi */ #define M_2_PI ((double)0.63661977236758134308) /* 2/pi */ #define M_2_SQRTPI ((double)1.12837916709551257390) /* 2/sqrt(pi) */ #define M_SQRT2 ((double)1.41421356237309504880) /* sqrt(2) */ #define M_SQRT1_2 ((double)0.70710678118654752440) /* 1/sqrt(2) */ #define MAXFLOAT ((float)3.40282346638528860e+38) extern int signgam; #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ #if __POSIX_VISIBLE >= 201403 #define M_El 2.718281828459045235360287471352662498L /* e */ #define M_LOG2El 1.442695040888963407359924681001892137L /* log 2e */ #define M_LOG10El 0.434294481903251827651128918916605082L /* log 10e */ #define M_LN2l 0.693147180559945309417232121458176568L /* log e2 */ #define M_LN10l 2.302585092994045684017991454684364208L /* log e10 */ #define M_PIl 3.141592653589793238462643383279502884L /* pi */ #define M_PI_2l 1.570796326794896619231321691639751442L /* pi/2 */ #define M_PI_4l 0.785398163397448309615660845819875721L /* pi/4 */ #define M_1_PIl 0.318309886183790671537767526745028724L /* 1/pi */ #define M_2_PIl 0.636619772367581343075535053490057448L /* 2/pi */ #define M_2_SQRTPIl 1.128379167095512573896158903121545172L /* 2/sqrt(pi) */ #define M_SQRT2l 1.414213562373095048801688724209698079L /* sqrt(2) */ #define M_SQRT1_2l 0.707106781186547524400844362104849039L /* 1/sqrt(2) */ #endif /* __POSIX_VISIBLE >= 201403 */ #if __BSD_VISIBLE #define HUGE MAXFLOAT #endif /* __BSD_VISIBLE */ /* * 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 frexp(double, int *); double ldexp(double, int); double log(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); /* * C99 */ #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE double acosh(double); double asinh(double); double atanh(double); double exp2(double); double expm1(double); int ilogb(double); double log1p(double); double log2(double); double logb(double); double scalbn(double, int); double scalbln(double, long int); double cbrt(double); double hypot(double, double); double erf(double); double erfc(double); double lgamma(double); double tgamma(double); double nearbyint(double); double rint(double); long int lrint(double); long long int llrint(double); double round(double); long int lround(double); long long int llround(double); double trunc(double); double remainder(double, double); double remquo(double, double, int *); double copysign(double, double); double nan(const char *); double nextafter(double, double); double nexttoward(double, long double); double fdim(double, double); double fmax(double, double); double fmin(double, double); double fma(double, double, double); #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */ #if __BSD_VISIBLE || __XPG_VISIBLE double j0(double); double j1(double); double jn(int, double); double scalb(double, double); double y0(double); double y1(double); double yn(int, double); #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ #if __BSD_VISIBLE || __XPG_VISIBLE <= 500 double gamma(double); #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */ /* * BSD math library entry points */ #if __BSD_VISIBLE double drem(double, double); int finite(double); /* * 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 *); /* * IEEE Test Vector */ double significand(double); #endif /* __BSD_VISIBLE */ /* * Float versions of C99 functions */ #if __ISO_C_VISIBLE >= 1999 float acosf(float); float asinf(float); float atanf(float); float atan2f(float, float); float cosf(float); float sinf(float); float tanf(float); float acoshf(float); float asinhf(float); float atanhf(float); float coshf(float); float sinhf(float); float tanhf(float); float expf(float); float exp2f(float); float expm1f(float); float frexpf(float, int *); int ilogbf(float); float ldexpf(float, int); float logf(float); float log10f(float); float log1pf(float); float log2f(float); float logbf(float); float modff(float, float *); float scalbnf(float, int); float scalblnf(float, long int); float cbrtf(float); float fabsf(float); float hypotf(float, float); float powf(float, float); float sqrtf(float); float erff(float); float erfcf(float); float lgammaf(float); float tgammaf(float); float ceilf(float); float floorf(float); float nearbyintf(float); float rintf(float); long int lrintf(float); long long int llrintf(float); float roundf(float); long int lroundf(float); long long int llroundf(float); float truncf(float); float fmodf(float, float); float remainderf(float, float); float remquof(float, float, int *); float copysignf(float, float); float nanf(const char *); float nextafterf(float, float); float nexttowardf(float, long double); float fdimf(float, float); float fmaxf(float, float); float fminf(float, float); float fmaf(float, float, float); #endif /* __ISO_C_VISIBLE >= 1999 */ #if __BSD_VISIBLE || __XPG_VISIBLE float j0f(float); float j1f(float); float jnf(int, float); float scalbf(float, float); float y0f(float); float y1f(float); float ynf(int, float); #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ #if __BSD_VISIBLE || __XPG_VISIBLE <= 500 float gammaf(float); #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */ /* * Float versions of BSD math library entry points */ #if __BSD_VISIBLE float dremf(float, float); int finitef(float); int isinff(float); int isnanf(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 gammaf_r(float, int *); float lgammaf_r(float, int *); /* * Float version of IEEE Test Vector */ float significandf(float); #endif /* __BSD_VISIBLE */ /* * Long double versions of C99 functions */ #if __ISO_C_VISIBLE >= 1999 long double acosl(long double); long double asinl(long double); long double atanl(long double); long double atan2l(long double, long double); long double cosl(long double); long double sinl(long double); long double tanl(long double); long double acoshl(long double); long double asinhl(long double); long double atanhl(long double); long double coshl(long double); long double sinhl(long double); long double tanhl(long double); long double expl(long double); long double exp2l(long double); long double expm1l(long double); long double frexpl(long double, int *); int ilogbl(long double); long double ldexpl(long double, int); long double logl(long double); long double log10l(long double); long double log1pl(long double); long double log2l(long double); long double logbl(long double); long double modfl(long double, long double *); long double scalbnl(long double, int); long double scalblnl(long double, long int); long double cbrtl(long double); long double fabsl(long double); long double hypotl(long double, long double); long double powl(long double, long double); long double sqrtl(long double); long double erfl(long double); long double erfcl(long double); long double lgammal(long double); long double tgammal(long double); long double ceill(long double); long double floorl(long double); long double nearbyintl(long double); long double rintl(long double); long int lrintl(long double); long long int llrintl(long double); long double roundl(long double); long int lroundl(long double); long long int llroundl(long double); long double truncl(long double); long double fmodl(long double, long double); long double remainderl(long double, long double); long double remquol(long double, long double, int *); long double copysignl(long double, long double); long double nanl(const char *); long double nextafterl(long double, long double); long double nexttowardl(long double, long double); long double fdiml(long double, long double); long double fmaxl(long double, long double); long double fminl(long double, long double); long double fmal(long double, long double, long double); #endif /* __ISO_C_VISIBLE >= 1999 */ /* * Library implementation */ int __fpclassify(double); int __fpclassifyf(float); int __fpclassifyl(long double); int __isfinite(double); int __isfinitef(float); int __isfinitel(long double); int __isinf(double); int __isinff(float); int __isinfl(long double); int __isnan(double); int __isnanf(float); int __isnanl(long double); int __isnormal(double); int __isnormalf(float); int __isnormall(long double); int __signbit(double); int __signbitf(float); int __signbitl(long double); __END_DECLS #endif /* !_MATH_H_ */