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