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