/* $NetBSD: math.h,v 1.66 2020/02/22 22:47:35 joerg 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. * ==================================================== */ /* * @(#)fdlibm.h 5.1 93/09/24 */ #ifndef _MATH_H_ #define _MATH_H_ #include #include /* * Missing for C99 support: * - MATH_ERRNO * - MATH_ERREXCEPT * - FP_FAST_FMA * - FP_FAST_FMAF * - FP_FAST_FMAL * - math_errhandling */ union __float_u { unsigned char __dummy[sizeof(float)]; float __val; }; union __double_u { unsigned char __dummy[sizeof(double)]; double __val; }; union __long_double_u { unsigned char __dummy[sizeof(long double)]; long double __val; }; #include /* may use __float_u, __double_u, or __long_double_u */ #include /* for INT_{MIN,MAX} */ #if (!defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ !defined(_XOPEN_SOURCE)) || ((_POSIX_C_SOURCE - 0) >= 200809L || \ defined(_ISOC99_SOURCE) || (__STDC_VERSION__ - 0) >= 199901L || \ (__cplusplus - 0) >= 201103L || defined(_NETBSD_SOURCE)) #define __MATH_C99_FEATURES #endif #ifdef __MATH_C99_FEATURES # if defined(__FLT_EVAL_METHOD__) && (__FLT_EVAL_METHOD__ - 0) == 0 typedef double double_t; typedef float float_t; # elif (__FLT_EVAL_METHOD__ - 0) == 1 typedef double double_t; typedef double float_t; # elif (__FLT_EVAL_METHOD__ - 0) == 2 typedef long double double_t; typedef long double float_t; # endif #endif #ifdef __HAVE_LONG_DOUBLE #define __fpmacro_unary_floating(__name, __arg0) \ /* LINTED */ \ ((sizeof (__arg0) == sizeof (float)) \ ? __ ## __name ## f (__arg0) \ : (sizeof (__arg0) == sizeof (double)) \ ? __ ## __name ## d (__arg0) \ : __ ## __name ## l (__arg0)) #else #define __fpmacro_unary_floating(__name, __arg0) \ /* LINTED */ \ ((sizeof (__arg0) == sizeof (float)) \ ? __ ## __name ## f (__arg0) \ : __ ## __name ## d (__arg0)) #endif /* __HAVE_LONG_DOUBLE */ /* * ANSI/POSIX */ /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ #if __GNUC_PREREQ__(3, 3) #define HUGE_VAL __builtin_huge_val() #else extern const union __double_u __infinity; #define HUGE_VAL __infinity.__val #endif /* * ISO C99 */ #if defined(__MATH_C99_FEATURES) || \ (_POSIX_C_SOURCE - 0) >= 200112L || (_XOPEN_SOURCE - 0) >= 600 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ #if __GNUC_PREREQ__(3, 3) #define HUGE_VALF __builtin_huge_valf() #define HUGE_VALL __builtin_huge_vall() #else extern const union __float_u __infinityf; #define HUGE_VALF __infinityf.__val extern const union __long_double_u __infinityl; #define HUGE_VALL __infinityl.__val #endif /* 7.12#4 INFINITY */ #if defined(__INFINITY) #define INFINITY __INFINITY /* float constant which overflows */ #elif __GNUC_PREREQ__(3, 3) #define INFINITY __builtin_inff() #else #define INFINITY HUGE_VALF /* positive infinity */ #endif /* __INFINITY */ /* 7.12#5 NAN: a quiet NaN, if supported */ #ifdef __HAVE_NANF #if __GNUC_PREREQ__(3,3) #define NAN __builtin_nanf("") #else extern const union __float_u __nanf; #define NAN __nanf.__val #endif #endif /* __HAVE_NANF */ /* 7.12#6 number classification macros */ #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 FP_ILOGB0 INT_MIN #define FP_ILOGBNAN INT_MAX #endif /* C99 || _XOPEN_SOURCE >= 600 */ /* * XOPEN/SVID */ #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) #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 signgam; #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ #if defined(_NETBSD_SOURCE) 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 * (one may replace the following line by "#include ") */ #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 /* _NETBSD_SOURCE */ __BEGIN_DECLS /* * 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 defined(__MATH_C99_FEATURES) || defined(_XOPEN_SOURCE) double erf(double); double erfc(double); double hypot(double, double); #endif #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) int finite(double); double gamma(double); double j0(double); double j1(double); double jn(int, double); double y0(double); double y1(double); double yn(int, double); #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE) double scalb(double, double); #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/ #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ /* * ISO C99 */ #if defined(__MATH_C99_FEATURES) || (_XOPEN_SOURCE - 0) >= 500 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); #endif #if defined(__MATH_C99_FEATURES) || (_XOPEN_SOURCE - 0) >= 600 || \ (_POSIX_C_SOURCE - 0) >= 200112L /* 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); 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); /* 7.12.5 hyperbolic */ float acoshf(float); float asinhf(float); float atanhf(float); float coshf(float); float sinhf(float); float tanhf(float); 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); /* 7.12.6 exp / log */ double scalbn(double, int); double scalbln(double, long); 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); float scalblnf(float, long); 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 log2l(long double); long double log10l(long double); long double log1pl(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); /* 7.12.7 power / absolute */ float cbrtf(float); float fabsf(float); float hypotf(float, float); float powf(float, float); float sqrtf(float); 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); /* 7.12.8 error / gamma */ double lgamma(double); double tgamma(double); float erff(float); float erfcf(float); float lgammaf(float); float tgammaf(float); long double erfl(long double); long double erfcl(long double); long double lgammal(long double); long double tgammal(long double); /* 7.12.9 nearest integer */ /* LONGLONG */ long long int llrint(double); long int lround(double); /* LONGLONG */ long long int llround(double); long int lrint(double); double round(double); double trunc(double); float ceilf(float); float floorf(float); /* LONGLONG */ long long int llrintf(float); long int lroundf(float); /* LONGLONG */ long long int llroundf(float); long int lrintf(float); float rintf(float); float roundf(float); float truncf(float); long double ceill(long double); long double floorl(long double); /* LONGLONG */ long long int llrintl(long double); long int lroundl(long double); /* LONGLONG */ long long int llroundl(long double); long int lrintl(long double); long double rintl(long double); long double roundl(long double); long double truncl(long double); /* 7.12.10 remainder */ float fmodf(float, float); float remainderf(float, float); long double fmodl(long double, long double); long double remainderl(long double, long double); /* 7.12.10.3 The remquo functions */ double remquo(double, double, int *); float remquof(float, float, int *); long double remquol(long double, long double, int *); /* 7.12.11 manipulation */ double copysign(double, double); double nan(const char *); double nearbyint(double); double nexttoward(double, long double); float copysignf(float, float); float nanf(const char *); float nearbyintf(float); float nextafterf(float, float); float nexttowardf(float, long double); long double copysignl(long double, long double); long double nanl(const char *); long double nearbyintl(long double); long double nextafterl(long double, long double); long double nexttowardl(long double, long double); /* 7.12.14 comparison */ #define isunordered(x, y) (isnan(x) || isnan(y)) #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))) double fdim(double, double); double fma(double, double, double); double fmax(double, double); double fmin(double, double); float fdimf(float, float); float fmaf(float, float, float); float fmaxf(float, float); float fminf(float, float); long double fdiml(long double, long double); long double fmal(long double, long double, long double); long double fmaxl(long double, long double); long double fminl(long double, long double); #endif /* !_ANSI_SOURCE && ... */ #if defined(__MATH_C99_FEATURES) || (_POSIX_C_SOURCE - 0) >= 200112L /* 7.12.3.3 int isinf(real-floating x) */ #if defined(__isinf) || defined(__HAVE_INLINE___ISINF) #define isinf(__x) __isinf(__x) #else #define isinf(__x) __fpmacro_unary_floating(isinf, __x) #endif /* 7.12.3.4 int isnan(real-floating x) */ #if defined(__isnan) || defined(__HAVE_INLINE___ISNAN) #define isnan(__x) __isnan(__x) #else #define isnan(__x) __fpmacro_unary_floating(isnan, __x) #endif #endif /* !_ANSI_SOURCE && ... */ #if defined(_NETBSD_SOURCE) #ifndef __cplusplus int matherr(struct exception *); #endif /* * IEEE Test Vector */ double significand(double); /* * BSD math library entry points */ double drem(double, double); #endif /* _NETBSD_SOURCE */ #if defined(_NETBSD_SOURCE) || defined(_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 /* _NETBSD_SOURCE || _REENTRANT */ #if defined(_NETBSD_SOURCE) /* 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 /* _NETBSD_SOURCE */ #if defined(_NETBSD_SOURCE) || defined(_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 /* !... || _REENTRANT */ /* * 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); #ifdef __HAVE_LONG_DOUBLE int __fpclassifyl(long double); int __isfinitel(long double); int __isinfl(long double); int __isnanl(long double); int __signbitl(long double); #endif __END_DECLS #endif /* _MATH_H_ */