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) 38#define __MATH_BUILTIN_CONSTANTS 39#endif 40 41#if __GNUC_PREREQ__(3, 0) 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 || __has_extension(c_generic_selections) 81#define __fp_type_select(x, f, d, ld) __extension__ _Generic((x), \ 82 float: f(x), \ 83 double: d(x), \ 84 long double: ld(x), \ 85 volatile float: f(x), \ 86 volatile double: d(x), \ 87 volatile long double: ld(x), \ 88 volatile const float: f(x), \ 89 volatile const double: d(x), \ 90 volatile const long double: ld(x), \ 91 const float: f(x), \ 92 const double: d(x), \ 93 const long double: ld(x)) 94#elif __GNUC_PREREQ__(3, 1) && !defined(__cplusplus) 95#define __fp_type_select(x, f, d, ld) __builtin_choose_expr( \ 96 __builtin_types_compatible_p(__typeof(x), long double), ld(x), \ 97 __builtin_choose_expr( \ 98 __builtin_types_compatible_p(__typeof(x), double), d(x), \ 99 __builtin_choose_expr( \ 100 __builtin_types_compatible_p(__typeof(x), float), f(x), (void)0))) 101#else 102#define __fp_type_select(x, f, d, ld) \ 103 ((sizeof(x) == sizeof(float)) ? f(x) \ 104 : (sizeof(x) == sizeof(double)) ? d(x) \ 105 : ld(x)) 106#endif 107 108#define fpclassify(x) \ 109 __fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl) 110#define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel) 111#define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl) 112#define isnan(x) \ 113 __fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl) 114#define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall) 115 116#ifdef __MATH_BUILTIN_RELOPS 117#define isgreater(x, y) __builtin_isgreater((x), (y)) 118#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) 119#define isless(x, y) __builtin_isless((x), (y)) 120#define islessequal(x, y) __builtin_islessequal((x), (y)) 121#define islessgreater(x, y) __builtin_islessgreater((x), (y)) 122#define isunordered(x, y) __builtin_isunordered((x), (y)) 123#else 124#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 125#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 126#define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 127#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 128#define islessgreater(x, y) (!isunordered((x), (y)) && \ 129 ((x) > (y) || (y) > (x))) 130#define isunordered(x, y) (isnan(x) || isnan(y)) 131#endif /* __MATH_BUILTIN_RELOPS */ 132 133#define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl) 134 135typedef __double_t double_t; 136typedef __float_t float_t; 137#endif /* __ISO_C_VISIBLE >= 1999 */ 138 139/* 140 * XOPEN/SVID 141 */ 142#if __BSD_VISIBLE || __XSI_VISIBLE 143#define M_E 2.7182818284590452354 /* e */ 144#define M_LOG2E 1.4426950408889634074 /* log 2e */ 145#define M_LOG10E 0.43429448190325182765 /* log 10e */ 146#define M_LN2 0.69314718055994530942 /* log e2 */ 147#define M_LN10 2.30258509299404568402 /* log e10 */ 148#define M_PI 3.14159265358979323846 /* pi */ 149#define M_PI_2 1.57079632679489661923 /* pi/2 */ 150#define M_PI_4 0.78539816339744830962 /* pi/4 */ 151#define M_1_PI 0.31830988618379067154 /* 1/pi */ 152#define M_2_PI 0.63661977236758134308 /* 2/pi */ 153#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 154#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 155#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 156 157#define MAXFLOAT ((float)3.40282346638528860e+38) 158extern int signgam; 159#endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 160 161#if __BSD_VISIBLE 162#if 0 163/* Old value from 4.4BSD-Lite math.h; this is probably better. */ 164#define HUGE HUGE_VAL 165#else 166#define HUGE MAXFLOAT 167#endif 168#endif /* __BSD_VISIBLE */ 169 170/* 171 * Most of these functions depend on the rounding mode and have the side 172 * effect of raising floating-point exceptions, so they are not declared 173 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions. 174 */ 175__BEGIN_DECLS 176/* 177 * ANSI/POSIX 178 */ 179int __fpclassifyd(double) __pure2; 180int __fpclassifyf(float) __pure2; 181int __fpclassifyl(long double) __pure2; 182int __isfinitef(float) __pure2; 183int __isfinite(double) __pure2; 184int __isfinitel(long double) __pure2; 185int __isinff(float) __pure2; 186int __isinf(double) __pure2; 187int __isinfl(long double) __pure2; 188int __isnormalf(float) __pure2; 189int __isnormal(double) __pure2; 190int __isnormall(long double) __pure2; 191int __signbit(double) __pure2; 192int __signbitf(float) __pure2; 193int __signbitl(long double) __pure2; 194 195static __inline int 196__inline_isnan(__const double __x) 197{ 198 199 return (__x != __x); 200} 201 202static __inline int 203__inline_isnanf(__const float __x) 204{ 205 206 return (__x != __x); 207} 208 209static __inline int 210__inline_isnanl(__const long double __x) 211{ 212 213 return (__x != __x); 214} 215 216/* 217 * Define the following aliases, for compatibility with glibc and CUDA. 218 */ 219#define __isnan __inline_isnan 220#define __isnanf __inline_isnanf 221 222/* 223 * Version 2 of the Single UNIX Specification (UNIX98) defined isnan() and 224 * isinf() as functions taking double. C99, and the subsequent POSIX revisions 225 * (SUSv3, POSIX.1-2001, define it as a macro that accepts any real floating 226 * point type. If we are targeting SUSv2 and C99 or C11 (or C++11) then we 227 * expose the newer definition, assuming that the language spec takes 228 * precedence over the operating system interface spec. 229 */ 230#if __XSI_VISIBLE > 0 && __XSI_VISIBLE < 600 && __ISO_C_VISIBLE < 1999 231#undef isinf 232#undef isnan 233int isinf(double); 234int isnan(double); 235#endif 236 237double acos(double); 238double asin(double); 239double atan(double); 240double atan2(double, double); 241double cos(double); 242double sin(double); 243double tan(double); 244 245double cosh(double); 246double sinh(double); 247double tanh(double); 248 249double exp(double); 250double frexp(double, int *); /* fundamentally !__pure2 */ 251double ldexp(double, int); 252double log(double); 253double log10(double); 254double modf(double, double *); /* fundamentally !__pure2 */ 255 256double pow(double, double); 257double sqrt(double); 258 259double ceil(double); 260double fabs(double) __pure2; 261double floor(double); 262double fmod(double, double); 263 264/* 265 * These functions are not in C90. 266 */ 267#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 268double acosh(double); 269double asinh(double); 270double atanh(double); 271double cbrt(double); 272double erf(double); 273double erfc(double); 274double exp2(double); 275double expm1(double); 276double fma(double, double, double); 277double hypot(double, double); 278int ilogb(double) __pure2; 279double lgamma(double); 280long long llrint(double); 281long long llround(double); 282double log1p(double); 283double log2(double); 284double logb(double); 285long lrint(double); 286long lround(double); 287double nan(const char *) __pure2; 288double nextafter(double, double); 289double remainder(double, double); 290double remquo(double, double, int *); 291double rint(double); 292#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 293 294#if __BSD_VISIBLE || __XSI_VISIBLE 295double j0(double); 296double j1(double); 297double jn(int, double); 298double y0(double); 299double y1(double); 300double yn(int, double); 301 302#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE 303double gamma(double); 304#endif 305 306#if __XSI_VISIBLE <= 600 || __BSD_VISIBLE 307double scalb(double, double); 308#endif 309#endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 310 311#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 312double copysign(double, double) __pure2; 313double fdim(double, double); 314double fmax(double, double) __pure2; 315double fmin(double, double) __pure2; 316double nearbyint(double); 317double round(double); 318double scalbln(double, long); 319double scalbn(double, int); 320double tgamma(double); 321double trunc(double); 322#endif 323 324/* 325 * BSD math library entry points 326 */ 327#if __BSD_VISIBLE 328double drem(double, double); 329int finite(double) __pure2; 330int isnanf(float) __pure2; 331 332/* 333 * Reentrant version of gamma & lgamma; passes signgam back by reference 334 * as the second argument; user must allocate space for signgam. 335 */ 336double gamma_r(double, int *); 337double lgamma_r(double, int *); 338 339/* 340 * IEEE Test Vector 341 */ 342double significand(double); 343#endif /* __BSD_VISIBLE */ 344 345/* float versions of ANSI/POSIX functions */ 346#if __ISO_C_VISIBLE >= 1999 347float acosf(float); 348float asinf(float); 349float atanf(float); 350float atan2f(float, float); 351float cosf(float); 352float sinf(float); 353float tanf(float); 354 355float coshf(float); 356float sinhf(float); 357float tanhf(float); 358 359float exp2f(float); 360float expf(float); 361float expm1f(float); 362float frexpf(float, int *); /* fundamentally !__pure2 */ 363int ilogbf(float) __pure2; 364float ldexpf(float, int); 365float log10f(float); 366float log1pf(float); 367float log2f(float); 368float logf(float); 369float modff(float, float *); /* fundamentally !__pure2 */ 370 371float powf(float, float); 372float sqrtf(float); 373 374float ceilf(float); 375float fabsf(float) __pure2; 376float floorf(float); 377float fmodf(float, float); 378float roundf(float); 379 380float erff(float); 381float erfcf(float); 382float hypotf(float, float); 383float lgammaf(float); 384float tgammaf(float); 385 386float acoshf(float); 387float asinhf(float); 388float atanhf(float); 389float cbrtf(float); 390float logbf(float); 391float copysignf(float, float) __pure2; 392long long llrintf(float); 393long long llroundf(float); 394long lrintf(float); 395long lroundf(float); 396float nanf(const char *) __pure2; 397float nearbyintf(float); 398float nextafterf(float, float); 399float remainderf(float, float); 400float remquof(float, float, int *); 401float rintf(float); 402float scalblnf(float, long); 403float scalbnf(float, int); 404float truncf(float); 405 406float fdimf(float, float); 407float fmaf(float, float, float); 408float fmaxf(float, float) __pure2; 409float fminf(float, float) __pure2; 410#endif 411 412/* 413 * float versions of BSD math library entry points 414 */ 415#if __BSD_VISIBLE 416float dremf(float, float); 417int finitef(float) __pure2; 418float gammaf(float); 419float j0f(float); 420float j1f(float); 421float jnf(int, float); 422float scalbf(float, float); 423float y0f(float); 424float y1f(float); 425float ynf(int, float); 426 427/* 428 * Float versions of reentrant version of gamma & lgamma; passes 429 * signgam back by reference as the second argument; user must 430 * allocate space for signgam. 431 */ 432float gammaf_r(float, int *); 433float lgammaf_r(float, int *); 434 435/* 436 * float version of IEEE Test Vector 437 */ 438float significandf(float); 439#endif /* __BSD_VISIBLE */ 440 441/* 442 * long double versions of ISO/POSIX math functions 443 */ 444#if __ISO_C_VISIBLE >= 1999 445long double acoshl(long double); 446long double acosl(long double); 447long double asinhl(long double); 448long double asinl(long double); 449long double atan2l(long double, long double); 450long double atanhl(long double); 451long double atanl(long double); 452long double cbrtl(long double); 453long double ceill(long double); 454long double copysignl(long double, long double) __pure2; 455long double coshl(long double); 456long double cosl(long double); 457long double erfcl(long double); 458long double erfl(long double); 459long double exp2l(long double); 460long double expl(long double); 461long double expm1l(long double); 462long double fabsl(long double) __pure2; 463long double fdiml(long double, long double); 464long double floorl(long double); 465long double fmal(long double, long double, long double); 466long double fmaxl(long double, long double) __pure2; 467long double fminl(long double, long double) __pure2; 468long double fmodl(long double, long double); 469long double frexpl(long double, int *); /* fundamentally !__pure2 */ 470long double hypotl(long double, long double); 471int ilogbl(long double) __pure2; 472long double ldexpl(long double, int); 473long double lgammal(long double); 474long long llrintl(long double); 475long long llroundl(long double); 476long double log10l(long double); 477long double log1pl(long double); 478long double log2l(long double); 479long double logbl(long double); 480long double logl(long double); 481long lrintl(long double); 482long lroundl(long double); 483long double modfl(long double, long double *); /* fundamentally !__pure2 */ 484long double nanl(const char *) __pure2; 485long double nearbyintl(long double); 486long double nextafterl(long double, long double); 487double nexttoward(double, long double); 488float nexttowardf(float, long double); 489long double nexttowardl(long double, long double); 490long double powl(long double, long double); 491long double remainderl(long double, long double); 492long double remquol(long double, long double, int *); 493long double rintl(long double); 494long double roundl(long double); 495long double scalblnl(long double, long); 496long double scalbnl(long double, int); 497long double sinhl(long double); 498long double sinl(long double); 499long double sqrtl(long double); 500long double tanhl(long double); 501long double tanl(long double); 502long double tgammal(long double); 503long double truncl(long double); 504#endif /* __ISO_C_VISIBLE >= 1999 */ 505 506#if __BSD_VISIBLE 507long double lgammal_r(long double, int *); 508void sincos(double, double *, double *); 509void sincosf(float, float *, float *); 510void sincosl(long double, long double *, long double *); 511#endif 512 513__END_DECLS 514 515#endif /* !_MATH_H_ */ 516