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