math.h revision 128628
1/* 2 * ==================================================== 3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 4 * 5 * Developed at SunPro, a Sun Microsystems, Inc. business. 6 * Permission to use, copy, modify, and distribute this 7 * software is freely granted, provided that this notice 8 * is preserved. 9 * ==================================================== 10 */ 11 12/* 13 * from: @(#)fdlibm.h 5.1 93/09/24 14 * $FreeBSD: head/lib/msun/src/math.h 128628 2004-04-25 02:35:42Z das $ 15 */ 16 17#ifndef _MATH_H_ 18#define _MATH_H_ 19 20#include <sys/_types.h> 21 22/* 23 * ANSI/POSIX 24 */ 25extern const union __infinity_un { 26 unsigned char __uc[8]; 27 double __ud; 28} __infinity; 29 30extern const union __nan_un { 31 unsigned char __uc[sizeof(float)]; 32 float __uf; 33} __nan; 34 35#define HUGE_VAL (__infinity.__ud) 36 37#if __ISO_C_VISIBLE >= 1999 38#define FP_ILOGB0 (-0x7fffffff - 1) /* INT_MIN */ 39#define FP_ILOGBNAN 0x7fffffff /* INT_MAX */ 40#define HUGE_VALF (float)HUGE_VAL 41#define HUGE_VALL (long double)HUGE_VAL 42#define INFINITY HUGE_VALF 43#define NAN (__nan.__uf) 44 45#define MATH_ERRNO 1 46#define MATH_ERREXCEPT 2 47#define math_errhandling 0 48 49/* Symbolic constants to classify floating point numbers. */ 50#define FP_INFINITE 0x01 51#define FP_NAN 0x02 52#define FP_NORMAL 0x04 53#define FP_SUBNORMAL 0x08 54#define FP_ZERO 0x10 55#define fpclassify(x) \ 56 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \ 57 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \ 58 : __fpclassifyl(x)) 59 60#define isfinite(x) ((fpclassify(x) & (FP_INFINITE|FP_NAN)) == 0) 61#define isinf(x) (fpclassify(x) == FP_INFINITE) 62#define isnan(x) (fpclassify(x) == FP_NAN) 63#define isnormal(x) (fpclassify(x) == FP_NORMAL) 64 65#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 66#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 67#define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 68#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 69#define islessgreater(x, y) (!isunordered((x), (y)) && \ 70 ((x) > (y) || (y) > (x))) 71#define isunordered(x, y) (isnan(x) || isnan(y)) 72 73#define signbit(x) __signbit(x) 74 75typedef __double_t double_t; 76typedef __float_t float_t; 77#endif /* __ISO_C_VISIBLE >= 1999 */ 78 79/* 80 * XOPEN/SVID 81 */ 82#if __BSD_VISIBLE || __XSI_VISIBLE 83#define M_E 2.7182818284590452354 /* e */ 84#define M_LOG2E 1.4426950408889634074 /* log 2e */ 85#define M_LOG10E 0.43429448190325182765 /* log 10e */ 86#define M_LN2 0.69314718055994530942 /* log e2 */ 87#define M_LN10 2.30258509299404568402 /* log e10 */ 88#define M_PI 3.14159265358979323846 /* pi */ 89#define M_PI_2 1.57079632679489661923 /* pi/2 */ 90#define M_PI_4 0.78539816339744830962 /* pi/4 */ 91#define M_1_PI 0.31830988618379067154 /* 1/pi */ 92#define M_2_PI 0.63661977236758134308 /* 2/pi */ 93#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 94#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 95#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 96 97#define MAXFLOAT ((float)3.40282346638528860e+38) 98extern int signgam; 99#endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 100 101#if __BSD_VISIBLE 102enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; 103 104#define _LIB_VERSION_TYPE enum fdversion 105#define _LIB_VERSION _fdlib_version 106 107/* if global variable _LIB_VERSION is not desirable, one may 108 * change the following to be a constant by: 109 * #define _LIB_VERSION_TYPE const enum version 110 * In that case, after one initializes the value _LIB_VERSION (see 111 * s_lib_version.c) during compile time, it cannot be modified 112 * in the middle of a program 113 */ 114extern _LIB_VERSION_TYPE _LIB_VERSION; 115 116#define _IEEE_ fdlibm_ieee 117#define _SVID_ fdlibm_svid 118#define _XOPEN_ fdlibm_xopen 119#define _POSIX_ fdlibm_posix 120 121/* We have a problem when using C++ since `exception' is a reserved 122 name in C++. */ 123#ifndef __cplusplus 124struct exception { 125 int type; 126 char *name; 127 double arg1; 128 double arg2; 129 double retval; 130}; 131#endif 132 133#define isnanf(x) isnan(x) 134 135#if 0 136/* Old value from 4.4BSD-Lite math.h; this is probably better. */ 137#define HUGE HUGE_VAL 138#else 139#define HUGE MAXFLOAT 140#endif 141 142#define X_TLOSS 1.41484755040568800000e+16 /* pi*2**52 */ 143 144#define DOMAIN 1 145#define SING 2 146#define OVERFLOW 3 147#define UNDERFLOW 4 148#define TLOSS 5 149#define PLOSS 6 150 151#endif /* __BSD_VISIBLE */ 152 153#include <sys/cdefs.h> 154 155/* 156 * Most of these functions have the side effect of setting errno, so they 157 * are not declared as __pure2. (XXX: this point needs to be revisited, 158 * since C99 doesn't require the mistake of setting errno, and we mostly 159 * don't set it anyway. In C99, pragmas and functions for changing the 160 * rounding mode affect the purity of these functions.) 161 */ 162__BEGIN_DECLS 163/* 164 * ANSI/POSIX 165 */ 166int __fpclassifyd(double) __pure2; 167int __fpclassifyf(float) __pure2; 168int __fpclassifyl(long double) __pure2; 169int __signbit(double) __pure2; 170 171double acos(double); 172double asin(double); 173double atan(double); 174double atan2(double, double); 175double cos(double); 176double sin(double); 177double tan(double); 178 179double cosh(double); 180double sinh(double); 181double tanh(double); 182 183double exp(double); 184double frexp(double, int *); /* fundamentally !__pure2 */ 185double ldexp(double, int); 186double log(double); 187double log10(double); 188double modf(double, double *); /* fundamentally !__pure2 */ 189 190double pow(double, double); 191double sqrt(double); 192 193double ceil(double); 194double fabs(double); 195double floor(double); 196double fmod(double, double); 197 198/* 199 * These functions are not in C90 so they can be "right". The ones that 200 * never set errno in lib/msun are declared as __pure2. 201 */ 202#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 203double acosh(double); 204double asinh(double); 205double atanh(double); 206double cbrt(double) __pure2; 207double erf(double); 208double erfc(double) __pure2; 209double expm1(double) __pure2; 210double hypot(double, double); 211int ilogb(double); 212double lgamma(double); 213double log1p(double) __pure2; 214double logb(double) __pure2; 215double nextafter(double, double); 216double remainder(double, double); 217double rint(double) __pure2; 218#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 219 220#if __BSD_VISIBLE || __XSI_VISIBLE 221double j0(double); 222double j1(double); 223double jn(int, double); 224double scalb(double, double); 225double y0(double); 226double y1(double); 227double yn(int, double); 228 229#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE 230double gamma(double); 231#endif 232#endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 233 234#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 235double copysign(double, double) __pure2; 236double scalbn(double, int); 237double tgamma(double); 238#endif 239 240/* 241 * BSD math library entry points 242 */ 243#if __BSD_VISIBLE 244double drem(double, double); 245int finite(double) __pure2; 246 247/* 248 * Reentrant version of gamma & lgamma; passes signgam back by reference 249 * as the second argument; user must allocate space for signgam. 250 */ 251double gamma_r(double, int *); 252double lgamma_r(double, int *); 253 254/* 255 * IEEE Test Vector 256 */ 257double significand(double); 258 259#ifndef __cplusplus 260int matherr(struct exception *); 261#endif 262#endif /* __BSD_VISIBLE */ 263 264/* float versions of ANSI/POSIX functions */ 265#if __ISO_C_VISIBLE >= 1999 266float acosf(float); 267float asinf(float); 268float atanf(float); 269float atan2f(float, float); 270float cosf(float); 271float sinf(float); 272float tanf(float); 273 274float coshf(float); 275float sinhf(float); 276float tanhf(float); 277 278float expf(float); 279float expm1f(float) __pure2; 280float frexpf(float, int *); /* fundamentally !__pure2 */ 281int ilogbf(float); 282float ldexpf(float, int); 283float log10f(float); 284float log1pf(float) __pure2; 285float logf(float); 286float modff(float, float *); /* fundamentally !__pure2 */ 287 288float powf(float, float); 289float sqrtf(float); 290 291float ceilf(float); 292float fabsf(float); 293float floorf(float); 294float fmodf(float, float); 295 296float erff(float); 297float erfcf(float) __pure2; 298float hypotf(float, float) __pure2; 299float lgammaf(float); 300 301float acoshf(float); 302float asinhf(float); 303float atanhf(float); 304float cbrtf(float) __pure2; 305float logbf(float) __pure2; 306float copysignf(float, float) __pure2; 307float nextafterf(float, float); 308float remainderf(float, float); 309float rintf(float); 310float scalbnf(float, int); 311#endif 312 313/* 314 * float versions of BSD math library entry points 315 */ 316#if __BSD_VISIBLE 317float dremf(float, float); 318int finitef(float) __pure2; 319float gammaf(float); 320float j0f(float); 321float j1f(float); 322float jnf(int, float); 323float scalbf(float, float); 324float y0f(float); 325float y1f(float); 326float ynf(int, float); 327 328/* 329 * Float versions of reentrant version of gamma & lgamma; passes 330 * signgam back by reference as the second argument; user must 331 * allocate space for signgam. 332 */ 333float gammaf_r(float, int *); 334float lgammaf_r(float, int *); 335 336/* 337 * float version of IEEE Test Vector 338 */ 339float significandf(float); 340#endif /* __BSD_VISIBLE */ 341 342/* 343 * long double versions of ISO/POSIX math functions 344 */ 345#if __ISO_C_VISIBLE >= 1999 346#if 0 347long double acoshl(long double); 348long double acosl(long double); 349long double asinhl(long double); 350long double asinl(long double); 351long double atan2l(long double, long double); 352long double atanhl(long double); 353long double atanl(long double); 354long double cbrtl(long double); 355long double ceill(long double); 356long double copysignl(long double, long double); 357long double coshl(long double); 358long double cosl(long double); 359long double erfcl(long double); 360long double erfl(long double); 361long double exp2l(long double); 362long double expl(long double); 363long double expm1l(long double); 364#endif 365long double fabsl(long double); 366#if 0 367long double fdiml(long double, long double); 368long double floorl(long double); 369long double fmal(long double, long double, long double); 370long double fmaxl(long double, long double); 371long double fminl(long double, long double); 372long double fmodl(long double, long double); 373long double frexpl(long double value, int *); 374long double hypotl(long double, long double); 375int ilogbl(long double); 376long double ldexpl(long double, int); 377long double lgammal(long double); 378long long llrintl(long double); 379long long llroundl(long double); 380long double log10l(long double); 381long double log1pl(long double); 382long double log2l(long double); 383long double logbl(long double); 384long double logl(long double); 385long lrintl(long double); 386long lroundl(long double); 387long double modfl(long double, long double *); 388long double nanl(const char *); 389long double nearbyintl(long double); 390long double nextafterl(long double, long double); 391double nexttoward(double, long double); 392float nexttowardf(float, long double); 393long double nexttowardl(long double, long double); 394long double powl(long double, long double); 395long double remainderl(long double, long double); 396long double remquol(long double, long double, int *); 397long double rintl(long double); 398long double roundl(long double); 399long double scalblnl(long double, long); 400long double scalbnl(long double, int); 401long double sinhl(long double); 402long double sinl(long double); 403long double sqrtl(long double); 404long double tanhl(long double); 405long double tanl(long double); 406long double tgammal(long double); 407long double truncl(long double); 408#endif 409 410#endif /* __ISO_C_VISIBLE >= 1999 */ 411__END_DECLS 412 413#endif /* !_MATH_H_ */ 414