math.h revision 130264
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 130264 2004-06-09 10:32:05Z das $ 15 */ 16 17#ifndef _MATH_H_ 18#define _MATH_H_ 19 20#include <sys/cdefs.h> 21#include <sys/_types.h> 22 23/* 24 * ANSI/POSIX 25 */ 26extern const union __infinity_un { 27 unsigned char __uc[8]; 28 double __ud; 29} __infinity; 30 31extern const union __nan_un { 32 unsigned char __uc[sizeof(float)]; 33 float __uf; 34} __nan; 35 36#define HUGE_VAL (__infinity.__ud) 37 38#if __ISO_C_VISIBLE >= 1999 39#define FP_ILOGB0 (-0x7fffffff - 1) /* INT_MIN */ 40#define FP_ILOGBNAN 0x7fffffff /* INT_MAX */ 41#define HUGE_VALF (float)HUGE_VAL 42#define HUGE_VALL (long double)HUGE_VAL 43#define INFINITY HUGE_VALF 44#define NAN (__nan.__uf) 45 46#define MATH_ERRNO 1 47#define MATH_ERREXCEPT 2 48#define math_errhandling 0 49 50/* Symbolic constants to classify floating point numbers. */ 51#define FP_INFINITE 0x01 52#define FP_NAN 0x02 53#define FP_NORMAL 0x04 54#define FP_SUBNORMAL 0x08 55#define FP_ZERO 0x10 56#define fpclassify(x) \ 57 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \ 58 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \ 59 : __fpclassifyl(x)) 60 61#define isfinite(x) ((fpclassify(x) & (FP_INFINITE|FP_NAN)) == 0) 62#define isinf(x) (fpclassify(x) == FP_INFINITE) 63#define isnan(x) (fpclassify(x) == FP_NAN) 64#define isnormal(x) (fpclassify(x) == FP_NORMAL) 65 66#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 67#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 68#define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 69#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 70#define islessgreater(x, y) (!isunordered((x), (y)) && \ 71 ((x) > (y) || (y) > (x))) 72#define isunordered(x, y) (isnan(x) || isnan(y)) 73 74#define signbit(x) __signbit(x) 75 76typedef __double_t double_t; 77typedef __float_t float_t; 78#endif /* __ISO_C_VISIBLE >= 1999 */ 79 80/* 81 * XOPEN/SVID 82 */ 83#if __BSD_VISIBLE || __XSI_VISIBLE 84#define M_E 2.7182818284590452354 /* e */ 85#define M_LOG2E 1.4426950408889634074 /* log 2e */ 86#define M_LOG10E 0.43429448190325182765 /* log 10e */ 87#define M_LN2 0.69314718055994530942 /* log e2 */ 88#define M_LN10 2.30258509299404568402 /* log e10 */ 89#define M_PI 3.14159265358979323846 /* pi */ 90#define M_PI_2 1.57079632679489661923 /* pi/2 */ 91#define M_PI_4 0.78539816339744830962 /* pi/4 */ 92#define M_1_PI 0.31830988618379067154 /* 1/pi */ 93#define M_2_PI 0.63661977236758134308 /* 2/pi */ 94#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 95#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 96#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 97 98#define MAXFLOAT ((float)3.40282346638528860e+38) 99extern int signgam; 100#endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 101 102#if __BSD_VISIBLE 103enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; 104 105#define _LIB_VERSION_TYPE enum fdversion 106#define _LIB_VERSION _fdlib_version 107 108/* if global variable _LIB_VERSION is not desirable, one may 109 * change the following to be a constant by: 110 * #define _LIB_VERSION_TYPE const enum version 111 * In that case, after one initializes the value _LIB_VERSION (see 112 * s_lib_version.c) during compile time, it cannot be modified 113 * in the middle of a program 114 */ 115extern _LIB_VERSION_TYPE _LIB_VERSION; 116 117#define _IEEE_ fdlibm_ieee 118#define _SVID_ fdlibm_svid 119#define _XOPEN_ fdlibm_xopen 120#define _POSIX_ fdlibm_posix 121 122/* We have a problem when using C++ since `exception' is a reserved 123 name in C++. */ 124#ifndef __cplusplus 125struct exception { 126 int type; 127 char *name; 128 double arg1; 129 double arg2; 130 double retval; 131}; 132#endif 133 134#define isnanf(x) isnan(x) 135 136#if 0 137/* Old value from 4.4BSD-Lite math.h; this is probably better. */ 138#define HUGE HUGE_VAL 139#else 140#define HUGE MAXFLOAT 141#endif 142 143#define X_TLOSS 1.41484755040568800000e+16 /* pi*2**52 */ 144 145#define DOMAIN 1 146#define SING 2 147#define OVERFLOW 3 148#define UNDERFLOW 4 149#define TLOSS 5 150#define PLOSS 6 151 152#endif /* __BSD_VISIBLE */ 153 154/* 155 * Most of these functions have the side effect of setting errno, so they 156 * are not declared as __pure2. (XXX: this point needs to be revisited, 157 * since C99 doesn't require the mistake of setting errno, and we mostly 158 * don't set it anyway. In C99, pragmas and functions for changing the 159 * rounding mode affect the purity of these functions.) 160 */ 161__BEGIN_DECLS 162/* 163 * ANSI/POSIX 164 */ 165int __fpclassifyd(double) __pure2; 166int __fpclassifyf(float) __pure2; 167int __fpclassifyl(long double) __pure2; 168int __signbit(double) __pure2; 169 170double acos(double); 171double asin(double); 172double atan(double); 173double atan2(double, double); 174double cos(double); 175double sin(double); 176double tan(double); 177 178double cosh(double); 179double sinh(double); 180double tanh(double); 181 182double exp(double); 183double frexp(double, int *); /* fundamentally !__pure2 */ 184double ldexp(double, int); 185double log(double); 186double log10(double); 187double modf(double, double *); /* fundamentally !__pure2 */ 188 189double pow(double, double); 190double sqrt(double); 191 192double ceil(double); 193double fabs(double); 194double floor(double); 195double fmod(double, double); 196 197/* 198 * These functions are not in C90 so they can be "right". The ones that 199 * never set errno in lib/msun are declared as __pure2. 200 */ 201#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 202double acosh(double); 203double asinh(double); 204double atanh(double); 205double cbrt(double) __pure2; 206double erf(double); 207double erfc(double) __pure2; 208double expm1(double) __pure2; 209double hypot(double, double); 210int ilogb(double); 211double lgamma(double); 212double log1p(double) __pure2; 213double logb(double) __pure2; 214double nextafter(double, double); 215double remainder(double, double); 216double rint(double) __pure2; 217double round(double); 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); 295float roundf(float); 296 297float erff(float); 298float erfcf(float) __pure2; 299float hypotf(float, float) __pure2; 300float lgammaf(float); 301 302float acoshf(float); 303float asinhf(float); 304float atanhf(float); 305float cbrtf(float) __pure2; 306float logbf(float) __pure2; 307float copysignf(float, float) __pure2; 308float nextafterf(float, float); 309float remainderf(float, float); 310float rintf(float); 311float scalbnf(float, int); 312#endif 313 314/* 315 * float versions of BSD math library entry points 316 */ 317#if __BSD_VISIBLE 318float dremf(float, float); 319int finitef(float) __pure2; 320float gammaf(float); 321float j0f(float); 322float j1f(float); 323float jnf(int, float); 324float scalbf(float, float); 325float y0f(float); 326float y1f(float); 327float ynf(int, float); 328 329/* 330 * Float versions of reentrant version of gamma & lgamma; passes 331 * signgam back by reference as the second argument; user must 332 * allocate space for signgam. 333 */ 334float gammaf_r(float, int *); 335float lgammaf_r(float, int *); 336 337/* 338 * float version of IEEE Test Vector 339 */ 340float significandf(float); 341#endif /* __BSD_VISIBLE */ 342 343/* 344 * long double versions of ISO/POSIX math functions 345 */ 346#if __ISO_C_VISIBLE >= 1999 347#if 0 348long double acoshl(long double); 349long double acosl(long double); 350long double asinhl(long double); 351long double asinl(long double); 352long double atan2l(long double, long double); 353long double atanhl(long double); 354long double atanl(long double); 355long double cbrtl(long double); 356long double ceill(long double); 357#endif 358long double copysignl(long double, long double); 359#if 0 360long double coshl(long double); 361long double cosl(long double); 362long double erfcl(long double); 363long double erfl(long double); 364long double exp2l(long double); 365long double expl(long double); 366long double expm1l(long double); 367#endif 368long double fabsl(long double); 369#if 0 370long double fdiml(long double, long double); 371long double floorl(long double); 372long double fmal(long double, long double, long double); 373long double fmaxl(long double, long double); 374long double fminl(long double, long double); 375long double fmodl(long double, long double); 376long double frexpl(long double value, int *); 377long double hypotl(long double, long double); 378int ilogbl(long double); 379long double ldexpl(long double, int); 380long double lgammal(long double); 381long long llrintl(long double); 382long long llroundl(long double); 383long double log10l(long double); 384long double log1pl(long double); 385long double log2l(long double); 386long double logbl(long double); 387long double logl(long double); 388long lrintl(long double); 389long lroundl(long double); 390long double modfl(long double, long double *); 391long double nanl(const char *); 392long double nearbyintl(long double); 393long double nextafterl(long double, long double); 394double nexttoward(double, long double); 395float nexttowardf(float, long double); 396long double nexttowardl(long double, long double); 397long double powl(long double, long double); 398long double remainderl(long double, long double); 399long double remquol(long double, long double, int *); 400long double rintl(long double); 401long double roundl(long double); 402long double scalblnl(long double, long); 403long double scalbnl(long double, int); 404long double sinhl(long double); 405long double sinl(long double); 406long double sqrtl(long double); 407long double tanhl(long double); 408long double tanl(long double); 409long double tgammal(long double); 410long double truncl(long double); 411#endif 412 413#endif /* __ISO_C_VISIBLE >= 1999 */ 414__END_DECLS 415 416#endif /* !_MATH_H_ */ 417