/* $NetBSD: math.h,v 1.58 2012/05/05 22:07:57 christos 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 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 */ #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(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ !defined(_XOPEN_SOURCE) || \ ((__STDC_VERSION__ - 0) >= 199901L) || \ ((_POSIX_C_SOURCE - 0) >= 200112L) || \ ((_XOPEN_SOURCE - 0) >= 600) || \ defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) /* 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 #endif /* !_ANSI_SOURCE && ... */ /* * 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(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 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); #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE) 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 /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/ #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ /* * ISO C99 */ #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ !defined(_XOPEN_SOURCE) || \ ((__STDC_VERSION__ - 0) >= 199901L) || \ ((_POSIX_C_SOURCE - 0) >= 200112L) || \ ((_XOPEN_SOURCE - 0) >= 600) || \ defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) /* 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); /* LONGLONG */ long long int llrint(double); /* LONGLONG */ long long int llrintf(float); long int lround(double); long int lroundf(float); /* LONGLONG */ long long int llround(double); /* LONGLONG */ 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) (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 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); #endif /* !_ANSI_SOURCE && ... */ #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \ !defined(_XOPEN_SOURCE) || \ ((__STDC_VERSION__ - 0) >= 199901L) || \ ((_POSIX_C_SOURCE - 0) >= 200112L) || \ defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) /* 7.12.3.3 int isinf(real-floating x) */ #ifdef __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) */ #ifdef __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); /* * 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 /* _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 int ilogbl(long double); long double logbl(long double); long double scalbnl(long double, int); __END_DECLS #endif /* _MATH_H_ */