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 */ 27 extern const union __infinity_un { 28 unsigned char __uc[8]; 29 double __ud; 30 } __infinity; 31 32 extern 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) 134 135 typedef __double_t double_t; 136 typedef __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) 158 extern 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 */ 179 int __fpclassifyd(double) __pure2; 180 int __fpclassifyf(float) __pure2; 181 int __fpclassifyl(long double) __pure2; 182 int __isfinitef(float) __pure2; 183 int __isfinite(double) __pure2; 184 int __isfinitel(long double) __pure2; 185 int __isinff(float) __pure2; 186 int __isinf(double) __pure2; 187 int __isinfl(long double) __pure2; 188 int __isnormalf(float) __pure2; 189 int __isnormal(double) __pure2; 190 int __isnormall(long double) __pure2; 191 int __signbit(double) __pure2; 192 int __signbitf(float) __pure2; 193 int __signbitl(long double) __pure2; 194 195 static __inline int 196 __inline_isnan(__const double __x) 197 { 198 199 return (__x != __x); 200 } 201 202 static __inline int 203 __inline_isnanf(__const float __x) 204 { 205 206 return (__x != __x); 207 } 208 209 static __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 233 int isinf(double); 234 int isnan(double); 235 #endif 236 237 double acos(double); 238 double asin(double); 239 double atan(double); 240 double atan2(double, double); 241 double cos(double); 242 double sin(double); 243 double tan(double); 244 245 double cosh(double); 246 double sinh(double); 247 double tanh(double); 248 249 double exp(double); 250 double frexp(double, int *); /* fundamentally !__pure2 */ 251 double ldexp(double, int); 252 double log(double); 253 double log10(double); 254 double modf(double, double *); /* fundamentally !__pure2 */ 255 256 double pow(double, double); 257 double sqrt(double); 258 259 double ceil(double); 260 double fabs(double) __pure2; 261 double floor(double); 262 double fmod(double, double); 263 264 /* 265 * These functions are not in C90. 266 */ 267 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 268 double acosh(double); 269 double asinh(double); 270 double atanh(double); 271 double cbrt(double); 272 double erf(double); 273 double erfc(double); 274 double exp2(double); 275 double expm1(double); 276 double fma(double, double, double); 277 double hypot(double, double); 278 int ilogb(double) __pure2; 279 double lgamma(double); 280 long long llrint(double); 281 long long llround(double); 282 double log1p(double); 283 double log2(double); 284 double logb(double); 285 long lrint(double); 286 long lround(double); 287 double nan(const char *) __pure2; 288 double nextafter(double, double); 289 double remainder(double, double); 290 double remquo(double, double, int *); 291 double rint(double); 292 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 293 294 #if __BSD_VISIBLE || __XSI_VISIBLE 295 double j0(double); 296 double j1(double); 297 double jn(int, double); 298 double y0(double); 299 double y1(double); 300 double yn(int, double); 301 302 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE 303 double gamma(double); 304 #endif 305 306 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE 307 double scalb(double, double); 308 #endif 309 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 310 311 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 312 double copysign(double, double) __pure2; 313 double fdim(double, double); 314 double fmax(double, double) __pure2; 315 double fmin(double, double) __pure2; 316 double nearbyint(double); 317 double round(double); 318 double scalbln(double, long); 319 double scalbn(double, int); 320 double tgamma(double); 321 double trunc(double); 322 #endif 323 324 /* 325 * BSD math library entry points 326 */ 327 #if __BSD_VISIBLE 328 double drem(double, double); 329 int finite(double) __pure2; 330 int 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 */ 336 double gamma_r(double, int *); 337 double lgamma_r(double, int *); 338 339 /* 340 * IEEE Test Vector 341 */ 342 double significand(double); 343 #endif /* __BSD_VISIBLE */ 344 345 /* float versions of ANSI/POSIX functions */ 346 #if __ISO_C_VISIBLE >= 1999 347 float acosf(float); 348 float asinf(float); 349 float atanf(float); 350 float atan2f(float, float); 351 float cosf(float); 352 float sinf(float); 353 float tanf(float); 354 355 float coshf(float); 356 float sinhf(float); 357 float tanhf(float); 358 359 float exp2f(float); 360 float expf(float); 361 float expm1f(float); 362 float frexpf(float, int *); /* fundamentally !__pure2 */ 363 int ilogbf(float) __pure2; 364 float ldexpf(float, int); 365 float log10f(float); 366 float log1pf(float); 367 float log2f(float); 368 float logf(float); 369 float modff(float, float *); /* fundamentally !__pure2 */ 370 371 float powf(float, float); 372 float sqrtf(float); 373 374 float ceilf(float); 375 float fabsf(float) __pure2; 376 float floorf(float); 377 float fmodf(float, float); 378 float roundf(float); 379 380 float erff(float); 381 float erfcf(float); 382 float hypotf(float, float); 383 float lgammaf(float); 384 float tgammaf(float); 385 386 float acoshf(float); 387 float asinhf(float); 388 float atanhf(float); 389 float cbrtf(float); 390 float logbf(float); 391 float copysignf(float, float) __pure2; 392 long long llrintf(float); 393 long long llroundf(float); 394 long lrintf(float); 395 long lroundf(float); 396 float nanf(const char *) __pure2; 397 float nearbyintf(float); 398 float nextafterf(float, float); 399 float remainderf(float, float); 400 float remquof(float, float, int *); 401 float rintf(float); 402 float scalblnf(float, long); 403 float scalbnf(float, int); 404 float truncf(float); 405 406 float fdimf(float, float); 407 float fmaf(float, float, float); 408 float fmaxf(float, float) __pure2; 409 float fminf(float, float) __pure2; 410 #endif 411 412 /* 413 * float versions of BSD math library entry points 414 */ 415 #if __BSD_VISIBLE 416 float dremf(float, float); 417 int finitef(float) __pure2; 418 float gammaf(float); 419 float j0f(float); 420 float j1f(float); 421 float jnf(int, float); 422 float scalbf(float, float); 423 float y0f(float); 424 float y1f(float); 425 float 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 */ 432 float gammaf_r(float, int *); 433 float lgammaf_r(float, int *); 434 435 /* 436 * float version of IEEE Test Vector 437 */ 438 float significandf(float); 439 #endif /* __BSD_VISIBLE */ 440 441 /* 442 * long double versions of ISO/POSIX math functions 443 */ 444 #if __ISO_C_VISIBLE >= 1999 445 long double acoshl(long double); 446 long double acosl(long double); 447 long double asinhl(long double); 448 long double asinl(long double); 449 long double atan2l(long double, long double); 450 long double atanhl(long double); 451 long double atanl(long double); 452 long double cbrtl(long double); 453 long double ceill(long double); 454 long double copysignl(long double, long double) __pure2; 455 long double coshl(long double); 456 long double cosl(long double); 457 long double erfcl(long double); 458 long double erfl(long double); 459 long double exp2l(long double); 460 long double expl(long double); 461 long double expm1l(long double); 462 long double fabsl(long double) __pure2; 463 long double fdiml(long double, long double); 464 long double floorl(long double); 465 long double fmal(long double, long double, long double); 466 long double fmaxl(long double, long double) __pure2; 467 long double fminl(long double, long double) __pure2; 468 long double fmodl(long double, long double); 469 long double frexpl(long double, int *); /* fundamentally !__pure2 */ 470 long double hypotl(long double, long double); 471 int ilogbl(long double) __pure2; 472 long double ldexpl(long double, int); 473 long double lgammal(long double); 474 long long llrintl(long double); 475 long long llroundl(long double); 476 long double log10l(long double); 477 long double log1pl(long double); 478 long double log2l(long double); 479 long double logbl(long double); 480 long double logl(long double); 481 long lrintl(long double); 482 long lroundl(long double); 483 long double modfl(long double, long double *); /* fundamentally !__pure2 */ 484 long double nanl(const char *) __pure2; 485 long double nearbyintl(long double); 486 long double nextafterl(long double, long double); 487 double nexttoward(double, long double); 488 float nexttowardf(float, long double); 489 long double nexttowardl(long double, long double); 490 long double powl(long double, long double); 491 long double remainderl(long double, long double); 492 long double remquol(long double, long double, int *); 493 long double rintl(long double); 494 long double roundl(long double); 495 long double scalblnl(long double, long); 496 long double scalbnl(long double, int); 497 long double sinhl(long double); 498 long double sinl(long double); 499 long double sqrtl(long double); 500 long double tanhl(long double); 501 long double tanl(long double); 502 long double tgammal(long double); 503 long double truncl(long double); 504 #endif /* __ISO_C_VISIBLE >= 1999 */ 505 506 #if __BSD_VISIBLE 507 long double lgammal_r(long double, int *); 508 void sincos(double, double *, double *); 509 void sincosf(float, float *, float *); 510 void sincosl(long double, long double *, long double *); 511 #endif 512 513 __END_DECLS 514 515 #endif /* !_MATH_H_ */ 516