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 */ 14 15 #ifndef _MATH_H_ 16 #define _MATH_H_ 17 18 #include <sys/_types.h> 19 #include <machine/_limits.h> 20 21 /* 22 * ANSI/POSIX 23 */ 24 extern const union __infinity_un { 25 unsigned char __uc[8]; 26 double __ud; 27 } __infinity; 28 29 extern const union __nan_un { 30 unsigned char __uc[sizeof(float)]; 31 float __uf; 32 } __nan; 33 34 #if __GNUC_PREREQ__(3, 3) 35 #define __MATH_BUILTIN_CONSTANTS 36 #endif 37 38 #if __GNUC_PREREQ__(3, 0) 39 #define __MATH_BUILTIN_RELOPS 40 #endif 41 42 #ifdef __MATH_BUILTIN_CONSTANTS 43 #define HUGE_VAL __builtin_huge_val() 44 #else 45 #define HUGE_VAL (__infinity.__ud) 46 #endif 47 48 #if __ISO_C_VISIBLE >= 1999 49 #define FP_ILOGB0 (-__INT_MAX) 50 #define FP_ILOGBNAN __INT_MAX 51 52 #ifdef __MATH_BUILTIN_CONSTANTS 53 #define HUGE_VALF __builtin_huge_valf() 54 #define HUGE_VALL __builtin_huge_vall() 55 #define INFINITY __builtin_inff() 56 #define NAN __builtin_nanf("") 57 #else 58 #define HUGE_VALF (float)HUGE_VAL 59 #define HUGE_VALL (long double)HUGE_VAL 60 #define INFINITY HUGE_VALF 61 #define NAN (__nan.__uf) 62 #endif /* __MATH_BUILTIN_CONSTANTS */ 63 64 #define MATH_ERRNO 1 65 #define MATH_ERREXCEPT 2 66 #define math_errhandling MATH_ERREXCEPT 67 68 #define FP_FAST_FMAF 1 69 70 /* Symbolic constants to classify floating point numbers. */ 71 #define FP_INFINITE 0x01 72 #define FP_NAN 0x02 73 #define FP_NORMAL 0x04 74 #define FP_SUBNORMAL 0x08 75 #define FP_ZERO 0x10 76 77 #if __STDC_VERSION__ >= 201112L || __has_extension(c_generic_selections) 78 #define __fp_type_select(x, f, d, ld) __extension__ _Generic((x), \ 79 float: f, \ 80 double: d, \ 81 long double: ld)(x) 82 #elif __GNUC_PREREQ__(3, 1) && !defined(__cplusplus) 83 #define __fp_type_select(x, f, d, ld) __builtin_choose_expr( \ 84 __builtin_types_compatible_p(__typeof(x), long double), ld(x), \ 85 __builtin_choose_expr( \ 86 __builtin_types_compatible_p(__typeof(x), double), d(x), \ 87 __builtin_choose_expr( \ 88 __builtin_types_compatible_p(__typeof(x), float), f(x), (void)0))) 89 #else 90 #define __fp_type_select(x, f, d, ld) \ 91 ((sizeof(x) == sizeof(float)) ? f(x) \ 92 : (sizeof(x) == sizeof(double)) ? d(x) \ 93 : ld(x)) 94 #endif 95 96 #define fpclassify(x) \ 97 __fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl) 98 #define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel) 99 #define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl) 100 #define isnan(x) \ 101 __fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl) 102 #define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall) 103 104 #ifdef __MATH_BUILTIN_RELOPS 105 #define isgreater(x, y) __builtin_isgreater((x), (y)) 106 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) 107 #define isless(x, y) __builtin_isless((x), (y)) 108 #define islessequal(x, y) __builtin_islessequal((x), (y)) 109 #define islessgreater(x, y) __builtin_islessgreater((x), (y)) 110 #define isunordered(x, y) __builtin_isunordered((x), (y)) 111 #else 112 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 113 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 114 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 115 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 116 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 117 ((x) > (y) || (y) > (x))) 118 #define isunordered(x, y) (isnan(x) || isnan(y)) 119 #endif /* __MATH_BUILTIN_RELOPS */ 120 121 #define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl) 122 123 typedef __double_t double_t; 124 typedef __float_t float_t; 125 #endif /* __ISO_C_VISIBLE >= 1999 */ 126 127 /* 128 * XOPEN/SVID 129 */ 130 #if __BSD_VISIBLE || __XSI_VISIBLE 131 #define M_E 2.7182818284590452354 /* e */ 132 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 133 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 134 #define M_LN2 0.69314718055994530942 /* log e2 */ 135 #define M_LN10 2.30258509299404568402 /* log e10 */ 136 #define M_PI 3.14159265358979323846 /* pi */ 137 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 138 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 139 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 140 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 141 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 142 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 143 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 144 145 #if __BSD_VISIBLE || __XSI_VISIBLE >= 800 146 #define M_El 2.718281828459045235360287471352662498L /* e */ 147 #define M_LOG2El 1.442695040888963407359924681001892137L /* log_2 e */ 148 #define M_LOG10El 0.434294481903251827651128918916605082L /* log_10 e */ 149 #define M_LN2l 0.693147180559945309417232121458176568L /* log_e 2 */ 150 #define M_LN10l 2.302585092994045684017991454684364208L /* log_e 10 */ 151 #define M_PIl 3.141592653589793238462643383279502884L /* pi */ 152 #define M_PI_2l 1.570796326794896619231321691639751442L /* pi/2 */ 153 #define M_PI_4l 0.785398163397448309615660845819875721L /* pi/4 */ 154 #define M_1_PIl 0.318309886183790671537767526745028724L /* 1/pi */ 155 #define M_2_PIl 0.636619772367581343075535053490057448L /* 2/pi */ 156 #define M_2_SQRTPIl 1.128379167095512573896158903121545172L /* 2/sqrt(pi) */ 157 #define M_SQRT2l 1.414213562373095048801688724209698079L /* sqrt(2) */ 158 #define M_SQRT1_2l 0.707106781186547524400844362104849039L /* 1/sqrt(2) */ 159 #endif /* __BSD_VISIBLE || __XSI_VISIBLE >= 800 */ 160 161 #define MAXFLOAT ((float)3.40282346638528860e+38) 162 extern int signgam; 163 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 164 165 #if __BSD_VISIBLE 166 #if 0 167 /* Old value from 4.4BSD-Lite math.h; this is probably better. */ 168 #define HUGE HUGE_VAL 169 #else 170 #define HUGE MAXFLOAT 171 #endif 172 #endif /* __BSD_VISIBLE */ 173 174 /* 175 * Most of these functions depend on the rounding mode and have the side 176 * effect of raising floating-point exceptions, so they are not declared 177 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions. 178 */ 179 __BEGIN_DECLS 180 /* 181 * ANSI/POSIX 182 */ 183 int __fpclassifyd(double) __pure2; 184 int __fpclassifyf(float) __pure2; 185 int __fpclassifyl(long double) __pure2; 186 int __isfinitef(float) __pure2; 187 int __isfinite(double) __pure2; 188 int __isfinitel(long double) __pure2; 189 int __isinff(float) __pure2; 190 int __isinf(double) __pure2; 191 int __isinfl(long double) __pure2; 192 int __isnormalf(float) __pure2; 193 int __isnormal(double) __pure2; 194 int __isnormall(long double) __pure2; 195 int __signbit(double) __pure2; 196 int __signbitf(float) __pure2; 197 int __signbitl(long double) __pure2; 198 199 static __inline int 200 __inline_isnan(const double __x) 201 { 202 203 return (__x != __x); 204 } 205 206 static __inline int 207 __inline_isnanf(const float __x) 208 { 209 210 return (__x != __x); 211 } 212 213 static __inline int 214 __inline_isnanl(const long double __x) 215 { 216 217 return (__x != __x); 218 } 219 220 /* 221 * Define the following aliases, for compatibility with glibc and CUDA. 222 */ 223 #define __isnan __inline_isnan 224 #define __isnanf __inline_isnanf 225 226 /* 227 * Version 2 of the Single UNIX Specification (UNIX98) defined isnan() and 228 * isinf() as functions taking double. C99, and the subsequent POSIX revisions 229 * (SUSv3, POSIX.1-2001, define it as a macro that accepts any real floating 230 * point type. If we are targeting SUSv2 and C99 or C11 (or C++11) then we 231 * expose the newer definition, assuming that the language spec takes 232 * precedence over the operating system interface spec. 233 */ 234 #if __XSI_VISIBLE > 0 && __XSI_VISIBLE < 600 && __ISO_C_VISIBLE < 1999 235 #undef isinf 236 #undef isnan 237 int isinf(double); 238 int isnan(double); 239 #endif 240 241 double acos(double); 242 double asin(double); 243 double atan(double); 244 double atan2(double, double); 245 double cos(double); 246 double sin(double); 247 double tan(double); 248 249 double cosh(double); 250 double sinh(double); 251 double tanh(double); 252 253 double exp(double); 254 double frexp(double, int *); /* fundamentally !__pure2 */ 255 double ldexp(double, int); 256 double log(double); 257 double log10(double); 258 double modf(double, double *); /* fundamentally !__pure2 */ 259 260 double pow(double, double); 261 double sqrt(double); 262 263 double ceil(double); 264 double fabs(double) __pure2; 265 double floor(double); 266 double fmod(double, double); 267 268 /* 269 * These functions are not in C90. 270 */ 271 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 272 double acosh(double); 273 double asinh(double); 274 double atanh(double); 275 double cbrt(double); 276 double erf(double); 277 double erfc(double); 278 double exp2(double); 279 double expm1(double); 280 double fma(double, double, double); 281 double hypot(double, double); 282 int ilogb(double) __pure2; 283 double lgamma(double); 284 long long llrint(double); 285 long long llround(double); 286 double log1p(double); 287 double log2(double); 288 double logb(double); 289 long lrint(double); 290 long lround(double); 291 double nan(const char *) __pure2; 292 double nextafter(double, double); 293 double remainder(double, double); 294 double remquo(double, double, int *); 295 double rint(double); 296 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 297 298 #if __BSD_VISIBLE || __XSI_VISIBLE 299 double j0(double); 300 double j1(double); 301 double jn(int, double); 302 double y0(double); 303 double y1(double); 304 double yn(int, double); 305 306 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE 307 double gamma(double); 308 #endif 309 310 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE 311 double scalb(double, double); 312 #endif 313 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 314 315 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 316 double copysign(double, double) __pure2; 317 double fdim(double, double); 318 double fmax(double, double) __pure2; 319 double fmin(double, double) __pure2; 320 double nearbyint(double); 321 double round(double); 322 double scalbln(double, long); 323 double scalbn(double, int); 324 double tgamma(double); 325 double trunc(double); 326 #endif 327 328 /* 329 * BSD math library entry points 330 */ 331 #if __BSD_VISIBLE 332 double drem(double, double); 333 int finite(double) __pure2; 334 int isnanf(float) __pure2; 335 336 /* 337 * Reentrant version of gamma & lgamma; passes signgam back by reference 338 * as the second argument; user must allocate space for signgam. 339 */ 340 double gamma_r(double, int *); 341 double lgamma_r(double, int *); 342 343 /* 344 * IEEE Test Vector 345 */ 346 double significand(double); 347 #endif /* __BSD_VISIBLE */ 348 349 /* float versions of ANSI/POSIX functions */ 350 #if __ISO_C_VISIBLE >= 1999 351 float acosf(float); 352 float asinf(float); 353 float atanf(float); 354 float atan2f(float, float); 355 float cosf(float); 356 float sinf(float); 357 float tanf(float); 358 359 float coshf(float); 360 float sinhf(float); 361 float tanhf(float); 362 363 float exp2f(float); 364 float expf(float); 365 float expm1f(float); 366 float frexpf(float, int *); /* fundamentally !__pure2 */ 367 int ilogbf(float) __pure2; 368 float ldexpf(float, int); 369 float log10f(float); 370 float log1pf(float); 371 float log2f(float); 372 float logf(float); 373 float modff(float, float *); /* fundamentally !__pure2 */ 374 375 float powf(float, float); 376 float sqrtf(float); 377 378 float ceilf(float); 379 float fabsf(float) __pure2; 380 float floorf(float); 381 float fmodf(float, float); 382 float roundf(float); 383 384 float erff(float); 385 float erfcf(float); 386 float hypotf(float, float); 387 float lgammaf(float); 388 float tgammaf(float); 389 390 float acoshf(float); 391 float asinhf(float); 392 float atanhf(float); 393 float cbrtf(float); 394 float logbf(float); 395 float copysignf(float, float) __pure2; 396 long long llrintf(float); 397 long long llroundf(float); 398 long lrintf(float); 399 long lroundf(float); 400 float nanf(const char *) __pure2; 401 float nearbyintf(float); 402 float nextafterf(float, float); 403 float remainderf(float, float); 404 float remquof(float, float, int *); 405 float rintf(float); 406 float scalblnf(float, long); 407 float scalbnf(float, int); 408 float truncf(float); 409 410 float fdimf(float, float); 411 float fmaf(float, float, float); 412 float fmaxf(float, float) __pure2; 413 float fminf(float, float) __pure2; 414 #endif 415 416 /* 417 * float versions of BSD math library entry points 418 */ 419 #if __BSD_VISIBLE 420 float dremf(float, float); 421 int finitef(float) __pure2; 422 float gammaf(float); 423 float j0f(float); 424 float j1f(float); 425 float jnf(int, float); 426 float scalbf(float, float); 427 float y0f(float); 428 float y1f(float); 429 float ynf(int, float); 430 431 /* 432 * Float versions of reentrant version of gamma & lgamma; passes 433 * signgam back by reference as the second argument; user must 434 * allocate space for signgam. 435 */ 436 float gammaf_r(float, int *); 437 float lgammaf_r(float, int *); 438 439 /* 440 * float version of IEEE Test Vector 441 */ 442 float significandf(float); 443 #endif /* __BSD_VISIBLE */ 444 445 /* 446 * long double versions of ISO/POSIX math functions 447 */ 448 #if __ISO_C_VISIBLE >= 1999 449 long double acoshl(long double); 450 long double acosl(long double); 451 long double asinhl(long double); 452 long double asinl(long double); 453 long double atan2l(long double, long double); 454 long double atanhl(long double); 455 long double atanl(long double); 456 long double cbrtl(long double); 457 long double ceill(long double); 458 long double copysignl(long double, long double) __pure2; 459 long double coshl(long double); 460 long double cosl(long double); 461 long double erfcl(long double); 462 long double erfl(long double); 463 long double exp2l(long double); 464 long double expl(long double); 465 long double expm1l(long double); 466 long double fabsl(long double) __pure2; 467 long double fdiml(long double, long double); 468 long double floorl(long double); 469 long double fmal(long double, long double, long double); 470 long double fmaxl(long double, long double) __pure2; 471 long double fminl(long double, long double) __pure2; 472 long double fmodl(long double, long double); 473 long double frexpl(long double, int *); /* fundamentally !__pure2 */ 474 long double hypotl(long double, long double); 475 int ilogbl(long double) __pure2; 476 long double ldexpl(long double, int); 477 long double lgammal(long double); 478 long long llrintl(long double); 479 long long llroundl(long double); 480 long double log10l(long double); 481 long double log1pl(long double); 482 long double log2l(long double); 483 long double logbl(long double); 484 long double logl(long double); 485 long lrintl(long double); 486 long lroundl(long double); 487 long double modfl(long double, long double *); /* fundamentally !__pure2 */ 488 long double nanl(const char *) __pure2; 489 long double nearbyintl(long double); 490 long double nextafterl(long double, long double); 491 double nexttoward(double, long double); 492 float nexttowardf(float, long double); 493 long double nexttowardl(long double, long double); 494 long double powl(long double, long double); 495 long double remainderl(long double, long double); 496 long double remquol(long double, long double, int *); 497 long double rintl(long double); 498 long double roundl(long double); 499 long double scalblnl(long double, long); 500 long double scalbnl(long double, int); 501 long double sinhl(long double); 502 long double sinl(long double); 503 long double sqrtl(long double); 504 long double tanhl(long double); 505 long double tanl(long double); 506 long double tgammal(long double); 507 long double truncl(long double); 508 #endif /* __ISO_C_VISIBLE >= 1999 */ 509 510 #if __BSD_VISIBLE 511 long double lgammal_r(long double, int *); 512 void sincos(double, double *, double *); 513 void sincosf(float, float *, float *); 514 void sincosl(long double, long double *, long double *); 515 double cospi(double); 516 float cospif(float); 517 long double cospil(long double); 518 double sinpi(double); 519 float sinpif(float); 520 long double sinpil(long double); 521 double tanpi(double); 522 float tanpif(float); 523 long double tanpil(long double); 524 #endif 525 526 __END_DECLS 527 528 #endif /* !_MATH_H_ */ 529