math.h revision 284810
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: stable/10/lib/msun/src/math.h 284810 2015-06-25 13:01:10Z tijl $ 15 */ 16 17#ifndef _MATH_H_ 18#define _MATH_H_ 19 20#include <sys/cdefs.h> 21#include <sys/_types.h> 22#include <machine/_limits.h> 23 24/* 25 * ANSI/POSIX 26 */ 27extern const union __infinity_un { 28 unsigned char __uc[8]; 29 double __ud; 30} __infinity; 31 32extern const union __nan_un { 33 unsigned char __uc[sizeof(float)]; 34 float __uf; 35} __nan; 36 37#if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800) 38#define __MATH_BUILTIN_CONSTANTS 39#endif 40 41#if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER) 42#define __MATH_BUILTIN_RELOPS 43#endif 44 45#ifdef __MATH_BUILTIN_CONSTANTS 46#define HUGE_VAL __builtin_huge_val() 47#else 48#define HUGE_VAL (__infinity.__ud) 49#endif 50 51#if __ISO_C_VISIBLE >= 1999 52#define FP_ILOGB0 (-__INT_MAX) 53#define FP_ILOGBNAN __INT_MAX 54 55#ifdef __MATH_BUILTIN_CONSTANTS 56#define HUGE_VALF __builtin_huge_valf() 57#define HUGE_VALL __builtin_huge_vall() 58#define INFINITY __builtin_inff() 59#define NAN __builtin_nanf("") 60#else 61#define HUGE_VALF (float)HUGE_VAL 62#define HUGE_VALL (long double)HUGE_VAL 63#define INFINITY HUGE_VALF 64#define NAN (__nan.__uf) 65#endif /* __MATH_BUILTIN_CONSTANTS */ 66 67#define MATH_ERRNO 1 68#define MATH_ERREXCEPT 2 69#define math_errhandling MATH_ERREXCEPT 70 71#define FP_FAST_FMAF 1 72#ifdef __ia64__ 73#define FP_FAST_FMA 1 74#define FP_FAST_FMAL 1 75#endif 76 77/* Symbolic constants to classify floating point numbers. */ 78#define FP_INFINITE 0x01 79#define FP_NAN 0x02 80#define FP_NORMAL 0x04 81#define FP_SUBNORMAL 0x08 82#define FP_ZERO 0x10 83 84#if (__STDC_VERSION__ >= 201112L && defined(__clang__)) || \ 85 __has_extension(c_generic_selections) 86#define __fp_type_select(x, f, d, ld) _Generic((x), \ 87 float: f(x), \ 88 double: d(x), \ 89 long double: ld(x), \ 90 volatile float: f(x), \ 91 volatile double: d(x), \ 92 volatile long double: ld(x), \ 93 volatile const float: f(x), \ 94 volatile const double: d(x), \ 95 volatile const long double: ld(x), \ 96 const float: f(x), \ 97 const double: d(x), \ 98 const long double: ld(x)) 99#elif __GNUC_PREREQ__(3, 1) && !defined(__cplusplus) 100#define __fp_type_select(x, f, d, ld) __builtin_choose_expr( \ 101 __builtin_types_compatible_p(__typeof(x), long double), ld(x), \ 102 __builtin_choose_expr( \ 103 __builtin_types_compatible_p(__typeof(x), double), d(x), \ 104 __builtin_choose_expr( \ 105 __builtin_types_compatible_p(__typeof(x), float), f(x), (void)0))) 106#else 107#define __fp_type_select(x, f, d, ld) \ 108 ((sizeof(x) == sizeof(float)) ? f(x) \ 109 : (sizeof(x) == sizeof(double)) ? d(x) \ 110 : ld(x)) 111#endif 112 113#define fpclassify(x) \ 114 __fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl) 115#define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel) 116#define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl) 117#define isnan(x) \ 118 __fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl) 119#define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall) 120 121#ifdef __MATH_BUILTIN_RELOPS 122#define isgreater(x, y) __builtin_isgreater((x), (y)) 123#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) 124#define isless(x, y) __builtin_isless((x), (y)) 125#define islessequal(x, y) __builtin_islessequal((x), (y)) 126#define islessgreater(x, y) __builtin_islessgreater((x), (y)) 127#define isunordered(x, y) __builtin_isunordered((x), (y)) 128#else 129#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 130#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 131#define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 132#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 133#define islessgreater(x, y) (!isunordered((x), (y)) && \ 134 ((x) > (y) || (y) > (x))) 135#define isunordered(x, y) (isnan(x) || isnan(y)) 136#endif /* __MATH_BUILTIN_RELOPS */ 137 138#define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl) 139 140typedef __double_t double_t; 141typedef __float_t float_t; 142#endif /* __ISO_C_VISIBLE >= 1999 */ 143 144/* 145 * XOPEN/SVID 146 */ 147#if __BSD_VISIBLE || __XSI_VISIBLE 148#define M_E 2.7182818284590452354 /* e */ 149#define M_LOG2E 1.4426950408889634074 /* log 2e */ 150#define M_LOG10E 0.43429448190325182765 /* log 10e */ 151#define M_LN2 0.69314718055994530942 /* log e2 */ 152#define M_LN10 2.30258509299404568402 /* log e10 */ 153#define M_PI 3.14159265358979323846 /* pi */ 154#define M_PI_2 1.57079632679489661923 /* pi/2 */ 155#define M_PI_4 0.78539816339744830962 /* pi/4 */ 156#define M_1_PI 0.31830988618379067154 /* 1/pi */ 157#define M_2_PI 0.63661977236758134308 /* 2/pi */ 158#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 159#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 160#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 161 162#define MAXFLOAT ((float)3.40282346638528860e+38) 163extern int signgam; 164#endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 165 166#if __BSD_VISIBLE 167#if 0 168/* Old value from 4.4BSD-Lite math.h; this is probably better. */ 169#define HUGE HUGE_VAL 170#else 171#define HUGE MAXFLOAT 172#endif 173#endif /* __BSD_VISIBLE */ 174 175/* 176 * Most of these functions depend on the rounding mode and have the side 177 * effect of raising floating-point exceptions, so they are not declared 178 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions. 179 */ 180__BEGIN_DECLS 181/* 182 * ANSI/POSIX 183 */ 184int __fpclassifyd(double) __pure2; 185int __fpclassifyf(float) __pure2; 186int __fpclassifyl(long double) __pure2; 187int __isfinitef(float) __pure2; 188int __isfinite(double) __pure2; 189int __isfinitel(long double) __pure2; 190int __isinff(float) __pure2; 191int __isinf(double) __pure2; 192int __isinfl(long double) __pure2; 193int __isnormalf(float) __pure2; 194int __isnormal(double) __pure2; 195int __isnormall(long double) __pure2; 196int __signbit(double) __pure2; 197int __signbitf(float) __pure2; 198int __signbitl(long double) __pure2; 199 200static __inline int 201__inline_isnan(__const double __x) 202{ 203 204 return (__x != __x); 205} 206 207static __inline int 208__inline_isnanf(__const float __x) 209{ 210 211 return (__x != __x); 212} 213 214static __inline int 215__inline_isnanl(__const long double __x) 216{ 217 218 return (__x != __x); 219} 220 221/* 222 * Version 2 of the Single UNIX Specification (UNIX98) defined isnan() and 223 * isinf() as functions taking double. C99, and the subsequent POSIX revisions 224 * (SUSv3, POSIX.1-2001, define it as a macro that accepts any real floating 225 * point type. If we are targeting SUSv2 and C99 or C11 (or C++11) then we 226 * expose the newer definition, assuming that the language spec takes 227 * precedence over the operating system interface spec. 228 */ 229#if __XSI_VISIBLE > 0 && __XSI_VISIBLE < 600 && __ISO_C_VISIBLE < 1999 230#undef isinf 231#undef isnan 232int isinf(double); 233int isnan(double); 234#endif 235 236double acos(double); 237double asin(double); 238double atan(double); 239double atan2(double, double); 240double cos(double); 241double sin(double); 242double tan(double); 243 244double cosh(double); 245double sinh(double); 246double tanh(double); 247 248double exp(double); 249double frexp(double, int *); /* fundamentally !__pure2 */ 250double ldexp(double, int); 251double log(double); 252double log10(double); 253double modf(double, double *); /* fundamentally !__pure2 */ 254 255double pow(double, double); 256double sqrt(double); 257 258double ceil(double); 259double fabs(double) __pure2; 260double floor(double); 261double fmod(double, double); 262 263/* 264 * These functions are not in C90. 265 */ 266#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 267double acosh(double); 268double asinh(double); 269double atanh(double); 270double cbrt(double); 271double erf(double); 272double erfc(double); 273double exp2(double); 274double expm1(double); 275double fma(double, double, double); 276double hypot(double, double); 277int ilogb(double) __pure2; 278double lgamma(double); 279long long llrint(double); 280long long llround(double); 281double log1p(double); 282double log2(double); 283double logb(double); 284long lrint(double); 285long lround(double); 286double nan(const char *) __pure2; 287double nextafter(double, double); 288double remainder(double, double); 289double remquo(double, double, int *); 290double rint(double); 291#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 292 293#if __BSD_VISIBLE || __XSI_VISIBLE 294double j0(double); 295double j1(double); 296double jn(int, double); 297double y0(double); 298double y1(double); 299double yn(int, double); 300 301#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE 302double gamma(double); 303#endif 304 305#if __XSI_VISIBLE <= 600 || __BSD_VISIBLE 306double scalb(double, double); 307#endif 308#endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 309 310#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 311double copysign(double, double) __pure2; 312double fdim(double, double); 313double fmax(double, double) __pure2; 314double fmin(double, double) __pure2; 315double nearbyint(double); 316double round(double); 317double scalbln(double, long); 318double scalbn(double, int); 319double tgamma(double); 320double trunc(double); 321#endif 322 323/* 324 * BSD math library entry points 325 */ 326#if __BSD_VISIBLE 327double drem(double, double); 328int finite(double) __pure2; 329int isnanf(float) __pure2; 330 331/* 332 * Reentrant version of gamma & lgamma; passes signgam back by reference 333 * as the second argument; user must allocate space for signgam. 334 */ 335double gamma_r(double, int *); 336double lgamma_r(double, int *); 337 338/* 339 * IEEE Test Vector 340 */ 341double significand(double); 342#endif /* __BSD_VISIBLE */ 343 344/* float versions of ANSI/POSIX functions */ 345#if __ISO_C_VISIBLE >= 1999 346float acosf(float); 347float asinf(float); 348float atanf(float); 349float atan2f(float, float); 350float cosf(float); 351float sinf(float); 352float tanf(float); 353 354float coshf(float); 355float sinhf(float); 356float tanhf(float); 357 358float exp2f(float); 359float expf(float); 360float expm1f(float); 361float frexpf(float, int *); /* fundamentally !__pure2 */ 362int ilogbf(float) __pure2; 363float ldexpf(float, int); 364float log10f(float); 365float log1pf(float); 366float log2f(float); 367float logf(float); 368float modff(float, float *); /* fundamentally !__pure2 */ 369 370float powf(float, float); 371float sqrtf(float); 372 373float ceilf(float); 374float fabsf(float) __pure2; 375float floorf(float); 376float fmodf(float, float); 377float roundf(float); 378 379float erff(float); 380float erfcf(float); 381float hypotf(float, float); 382float lgammaf(float); 383float tgammaf(float); 384 385float acoshf(float); 386float asinhf(float); 387float atanhf(float); 388float cbrtf(float); 389float logbf(float); 390float copysignf(float, float) __pure2; 391long long llrintf(float); 392long long llroundf(float); 393long lrintf(float); 394long lroundf(float); 395float nanf(const char *) __pure2; 396float nearbyintf(float); 397float nextafterf(float, float); 398float remainderf(float, float); 399float remquof(float, float, int *); 400float rintf(float); 401float scalblnf(float, long); 402float scalbnf(float, int); 403float truncf(float); 404 405float fdimf(float, float); 406float fmaf(float, float, float); 407float fmaxf(float, float) __pure2; 408float fminf(float, float) __pure2; 409#endif 410 411/* 412 * float versions of BSD math library entry points 413 */ 414#if __BSD_VISIBLE 415float dremf(float, float); 416int finitef(float) __pure2; 417float gammaf(float); 418float j0f(float); 419float j1f(float); 420float jnf(int, float); 421float scalbf(float, float); 422float y0f(float); 423float y1f(float); 424float ynf(int, float); 425 426/* 427 * Float versions of reentrant version of gamma & lgamma; passes 428 * signgam back by reference as the second argument; user must 429 * allocate space for signgam. 430 */ 431float gammaf_r(float, int *); 432float lgammaf_r(float, int *); 433 434/* 435 * float version of IEEE Test Vector 436 */ 437float significandf(float); 438#endif /* __BSD_VISIBLE */ 439 440/* 441 * long double versions of ISO/POSIX math functions 442 */ 443#if __ISO_C_VISIBLE >= 1999 444long double acoshl(long double); 445long double acosl(long double); 446long double asinhl(long double); 447long double asinl(long double); 448long double atan2l(long double, long double); 449long double atanhl(long double); 450long double atanl(long double); 451long double cbrtl(long double); 452long double ceill(long double); 453long double copysignl(long double, long double) __pure2; 454long double coshl(long double); 455long double cosl(long double); 456long double erfcl(long double); 457long double erfl(long double); 458long double exp2l(long double); 459long double expl(long double); 460long double expm1l(long double); 461long double fabsl(long double) __pure2; 462long double fdiml(long double, long double); 463long double floorl(long double); 464long double fmal(long double, long double, long double); 465long double fmaxl(long double, long double) __pure2; 466long double fminl(long double, long double) __pure2; 467long double fmodl(long double, long double); 468long double frexpl(long double value, int *); /* fundamentally !__pure2 */ 469long double hypotl(long double, long double); 470int ilogbl(long double) __pure2; 471long double ldexpl(long double, int); 472long double lgammal(long double); 473long long llrintl(long double); 474long long llroundl(long double); 475long double log10l(long double); 476long double log1pl(long double); 477long double log2l(long double); 478long double logbl(long double); 479long double logl(long double); 480long lrintl(long double); 481long lroundl(long double); 482long double modfl(long double, long double *); /* fundamentally !__pure2 */ 483long double nanl(const char *) __pure2; 484long double nearbyintl(long double); 485long double nextafterl(long double, long double); 486double nexttoward(double, long double); 487float nexttowardf(float, long double); 488long double nexttowardl(long double, long double); 489long double powl(long double, long double); 490long double remainderl(long double, long double); 491long double remquol(long double, long double, int *); 492long double rintl(long double); 493long double roundl(long double); 494long double scalblnl(long double, long); 495long double scalbnl(long double, int); 496long double sinhl(long double); 497long double sinl(long double); 498long double sqrtl(long double); 499long double tanhl(long double); 500long double tanl(long double); 501long double tgammal(long double); 502long double truncl(long double); 503#endif /* __ISO_C_VISIBLE >= 1999 */ 504 505#if __BSD_VISIBLE 506long double lgammal_r(long double, int *); 507#endif 508 509__END_DECLS 510 511#endif /* !_MATH_H_ */ 512