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: src/lib/msun/src/math.h,v 1.61 2005/04/16 21:12:47 das Exp $ 15 */ 16 17 #ifndef _MATH_H_ 18 #define _MATH_H_ 19 20 #include <sys/cdefs.h> 21 #include <sys/types.h> 22 #include <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) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800) */ 38 #if 1 39 #define __MATH_BUILTIN_CONSTANTS 40 #endif 41 42 /* #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER) */ 43 #if 1 44 #define __MATH_BUILTIN_RELOPS 45 #endif 46 47 /* #ifdef __MATH_BUILTIN_CONSTANTS */ 48 #if 1 49 #define HUGE_VAL __builtin_huge_val() 50 #else 51 #define HUGE_VAL (__infinity.__ud) 52 #endif 53 54 /* #if __ISO_C_VISIBLE >= 1999 */ 55 #if 0 56 #define FP_ILOGB0 (-__INT_MAX) 57 #define FP_ILOGBNAN __INT_MAX 58 #else 59 #define FP_ILOGB0 (-INT_MAX) 60 #define FP_ILOGBNAN INT_MAX 61 #endif 62 63 #ifdef __MATH_BUILTIN_CONSTANTS 64 #define HUGE_VALF __builtin_huge_valf() 65 #define HUGE_VALL __builtin_huge_vall() 66 #define INFINITY __builtin_inf() 67 #define NAN __builtin_nan("") 68 #else 69 #define HUGE_VALF (float)HUGE_VAL 70 #define HUGE_VALL (long double)HUGE_VAL 71 #define INFINITY HUGE_VALF 72 #define NAN (__nan.__uf) 73 #endif /* __MATH_BUILTIN_CONSTANTS */ 74 75 #define MATH_ERRNO 1 76 #define MATH_ERREXCEPT 2 77 #define math_errhandling MATH_ERREXCEPT 78 79 /* XXX We need a <machine/math.h>. */ 80 #if defined(__ia64__) || defined(__sparc64__) 81 #define FP_FAST_FMA 82 #endif 83 #ifdef __ia64__ 84 #define FP_FAST_FMAL 85 #endif 86 #define FP_FAST_FMAF 87 88 /* Symbolic constants to classify floating point numbers. */ 89 #define FP_INFINITE 0x01 90 #define FP_NAN 0x02 91 #define FP_NORMAL 0x04 92 #define FP_SUBNORMAL 0x08 93 #define FP_ZERO 0x10 94 #define fpclassify(x) \ 95 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \ 96 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \ 97 : __fpclassifyl(x)) 98 99 #define isfinite(x) \ 100 ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \ 101 : (sizeof (x) == sizeof (double)) ? __isfinite(x) \ 102 : __isfinitel(x)) 103 #define isinf(x) \ 104 ((sizeof (x) == sizeof (float)) ? __isinff(x) \ 105 : (sizeof (x) == sizeof (double)) ? __isinf(x) \ 106 : __isinfl(x)) 107 #define isnan(x) \ 108 ((sizeof (x) == sizeof (float)) ? isnanf(x) \ 109 : (sizeof (x) == sizeof (double)) ? isnan(x) \ 110 : __isnanl(x)) 111 #define isnormal(x) \ 112 ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \ 113 : (sizeof (x) == sizeof (double)) ? __isnormal(x) \ 114 : __isnormall(x)) 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) \ 134 ((sizeof (x) == sizeof (float)) ? __signbitf(x) \ 135 : (sizeof (x) == sizeof (double)) ? __signbit(x) \ 136 : __signbitl(x)) 137 138 #if 0 139 typedef __double_t double_t; 140 typedef __float_t float_t; 141 #endif 142 /* #endif */ /* __ISO_C_VISIBLE >= 1999 */ 143 144 /* 145 * XOPEN/SVID 146 */ 147 /* #if __BSD_VISIBLE || __XSI_VISIBLE */ 148 #define M_E 2.7182818284590452354 /* e */ 149 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 150 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 151 #define M_LN2 0.69314718055994530942 /* log e2 */ 152 #define M_LN10 2.30258509299404568402 /* log e10 */ 153 #define M_PI 3.14159265358979323846 /* pi */ 154 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 155 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 156 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 157 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 158 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 159 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 160 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 161 162 #define MAXFLOAT ((float)3.40282346638528860e+38) 163 extern int signgam; 164 /* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */ 165 166 #if __BSD_VISIBLE 167 #if 0 168 /* Old value from 4.4BSD-Lite math.h; this is probably better. */ 169 #define HUGE HUGE_VAL 170 #else 171 #define HUGE MAXFLOAT 172 #endif 173 #endif /* __BSD_VISIBLE */ 174 175 /* 176 * Most of these functions depend on the rounding mode and have the side 177 * effect of raising floating-point exceptions, so they are not declared 178 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions. 179 */ 180 __BEGIN_DECLS 181 /* 182 * ANSI/POSIX 183 */ 184 int __fpclassifyd(double) __pure2; 185 int __fpclassifyf(float) __pure2; 186 int __fpclassifyl(long double) __pure2; 187 int __isfinitef(float) __pure2; 188 int __isfinite(double) __pure2; 189 int __isfinitel(long double) __pure2; 190 int __isinff(float) __pure2; 191 int __isinf(double) __pure2; 192 int __isinfl(long double) __pure2; 193 int __isnanl(long double) __pure2; 194 int __isnormalf(float) __pure2; 195 int __isnormal(double) __pure2; 196 int __isnormall(long double) __pure2; 197 int __signbit(double) __pure2; 198 int __signbitf(float) __pure2; 199 int __signbitl(long double) __pure2; 200 201 double acos(double); 202 double asin(double); 203 double atan(double); 204 double atan2(double, double); 205 double cos(double); 206 double sin(double); 207 double tan(double); 208 209 double cosh(double); 210 double sinh(double); 211 double tanh(double); 212 213 double exp(double); 214 double frexp(double, int *); /* fundamentally !__pure2 */ 215 double ldexp(double, int); 216 double log(double); 217 double log10(double); 218 double modf(double, double *); /* fundamentally !__pure2 */ 219 220 double pow(double, double); 221 double sqrt(double); 222 223 double ceil(double); 224 double fabs(double) __pure2; 225 double floor(double); 226 double fmod(double, double); 227 228 /* 229 * These functions are not in C90. 230 */ 231 /* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 232 double acosh(double); 233 double asinh(double); 234 double atanh(double); 235 double cbrt(double); 236 double erf(double); 237 double erfc(double); 238 double exp2(double); 239 double expm1(double); 240 double fma(double, double, double); 241 double hypot(double, double); 242 int ilogb(double) __pure2; 243 /* int (isinf)(double) __pure2; */ 244 int (isnan)(double) __pure2; 245 double lgamma(double); 246 long long llrint(double); 247 long long llround(double); 248 double log1p(double); 249 double logb(double); 250 long lrint(double); 251 long lround(double); 252 double nan(const char *) __pure2; 253 double nextafter(double, double); 254 double remainder(double, double); 255 double remquo(double, double, int *); 256 double rint(double); 257 /* #endif */ /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 258 259 /* #if __BSD_VISIBLE || __XSI_VISIBLE */ 260 double j0(double); 261 double j1(double); 262 double jn(int, double); 263 double scalb(double, double); 264 double y0(double); 265 double y1(double); 266 double yn(int, double); 267 268 /* #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE */ 269 double gamma(double); 270 /* #endif */ 271 /* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */ 272 273 /* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 */ 274 double copysign(double, double) __pure2; 275 double fdim(double, double); 276 double fmax(double, double) __pure2; 277 double fmin(double, double) __pure2; 278 double nearbyint(double); 279 double round(double); 280 double scalbln(double, long); 281 double scalbn(double, int); 282 double tgamma(double); 283 double trunc(double); 284 /* #endif */ 285 286 /* 287 * BSD math library entry points 288 */ 289 /* #if __BSD_VISIBLE */ 290 double drem(double, double); 291 int finite(double) __pure2; 292 int isnanf(float) __pure2; 293 294 /* 295 * Reentrant version of gamma & lgamma; passes signgam back by reference 296 * as the second argument; user must allocate space for signgam. 297 */ 298 double gamma_r(double, int *); 299 double lgamma_r(double, int *); 300 301 /* 302 * IEEE Test Vector 303 */ 304 double significand(double); 305 /* #endif */ /* __BSD_VISIBLE */ 306 307 /* float versions of ANSI/POSIX functions */ 308 /*#if __ISO_C_VISIBLE >= 1999 */ 309 float acosf(float); 310 float asinf(float); 311 float atanf(float); 312 float atan2f(float, float); 313 float cosf(float); 314 float sinf(float); 315 float tanf(float); 316 317 float coshf(float); 318 float sinhf(float); 319 float tanhf(float); 320 321 float exp2f(float); 322 float expf(float); 323 float expm1f(float); 324 float frexpf(float, int *); /* fundamentally !__pure2 */ 325 int ilogbf(float) __pure2; 326 float ldexpf(float, int); 327 float log10f(float); 328 float log1pf(float); 329 float logf(float); 330 float modff(float, float *); /* fundamentally !__pure2 */ 331 332 float powf(float, float); 333 float sqrtf(float); 334 335 float ceilf(float); 336 float fabsf(float) __pure2; 337 float floorf(float); 338 float fmodf(float, float); 339 float roundf(float); 340 341 float erff(float); 342 float erfcf(float); 343 float hypotf(float, float); 344 float lgammaf(float); 345 float tgammaf(float); 346 347 float acoshf(float); 348 float asinhf(float); 349 float atanhf(float); 350 float cbrtf(float); 351 float logbf(float); 352 float copysignf(float, float) __pure2; 353 long long llrintf(float); 354 long long llroundf(float); 355 long lrintf(float); 356 long lroundf(float); 357 float nanf(const char *) __pure2; 358 float nearbyintf(float); 359 float nextafterf(float, float); 360 float remainderf(float, float); 361 float remquof(float, float, int *); 362 float rintf(float); 363 float scalblnf(float, long); 364 float scalbnf(float, int); 365 float truncf(float); 366 367 float fdimf(float, float); 368 float fmaf(float, float, float); 369 float fmaxf(float, float) __pure2; 370 float fminf(float, float) __pure2; 371 /* #endif */ 372 373 /* 374 * float versions of BSD math library entry points 375 */ 376 /* #if __BSD_VISIBLE */ 377 float dremf(float, float); 378 int finitef(float) __pure2; 379 float gammaf(float); 380 float j0f(float); 381 float j1f(float); 382 float jnf(int, float); 383 float scalbf(float, float); 384 float y0f(float); 385 float y1f(float); 386 float ynf(int, float); 387 388 /* 389 * Float versions of reentrant version of gamma & lgamma; passes 390 * signgam back by reference as the second argument; user must 391 * allocate space for signgam. 392 */ 393 float gammaf_r(float, int *); 394 float lgammaf_r(float, int *); 395 396 /* 397 * float version of IEEE Test Vector 398 */ 399 float significandf(float); 400 /* #endif */ /* __BSD_VISIBLE */ 401 402 /* 403 * long double versions of ISO/POSIX math functions 404 */ 405 /* #if __ISO_C_VISIBLE >= 1999 */ 406 #if 0 407 long double acoshl(long double); 408 long double acosl(long double); 409 long double asinhl(long double); 410 long double asinl(long double); 411 long double atan2l(long double, long double); 412 long double atanhl(long double); 413 long double atanl(long double); 414 long double cbrtl(long double); 415 #endif 416 long double ceill(long double); 417 long double copysignl(long double, long double) __pure2; 418 #if 0 419 long double coshl(long double); 420 long double cosl(long double); 421 long double erfcl(long double); 422 long double erfl(long double); 423 long double exp2l(long double); 424 long double expl(long double); 425 long double expm1l(long double); 426 #endif 427 long double fabsl(long double) __pure2; 428 long double fdiml(long double, long double); 429 long double floorl(long double); 430 long double fmal(long double, long double, long double); 431 long double fmaxl(long double, long double) __pure2; 432 long double fminl(long double, long double) __pure2; 433 #if 0 434 long double fmodl(long double, long double); 435 #endif 436 long double frexpl(long double value, int *); /* fundamentally !__pure2 */ 437 #if 0 438 long double hypotl(long double, long double); 439 #endif 440 int ilogbl(long double) __pure2; 441 long double ldexpl(long double, int); 442 #if 0 443 long double lgammal(long double); 444 long long llrintl(long double); 445 #endif 446 long long llroundl(long double); 447 #if 0 448 long double log10l(long double); 449 long double log1pl(long double); 450 long double log2l(long double); 451 long double logbl(long double); 452 long double logl(long double); 453 long lrintl(long double); 454 #endif 455 long lroundl(long double); 456 #if 0 457 long double modfl(long double, long double *); /* fundamentally !__pure2 */ 458 #endif 459 long double nanl(const char *) __pure2; 460 #if 0 461 long double nearbyintl(long double); 462 #endif 463 long double nextafterl(long double, long double); 464 double nexttoward(double, long double); 465 float nexttowardf(float, long double); 466 long double nexttowardl(long double, long double); 467 #if 0 468 long double powl(long double, long double); 469 long double remainderl(long double, long double); 470 long double remquol(long double, long double, int *); 471 long double rintl(long double); 472 #endif 473 long double roundl(long double); 474 long double scalblnl(long double, long); 475 long double scalbnl(long double, int); 476 #if 0 477 long double sinhl(long double); 478 long double sinl(long double); 479 long double sqrtl(long double); 480 long double tanhl(long double); 481 long double tanl(long double); 482 long double tgammal(long double); 483 #endif 484 long double truncl(long double); 485 486 /* BIONIC: GLibc compatibility - required by the ARM toolchain */ 487 #ifdef _GNU_SOURCE 488 void sincos(double x, double *sin, double *cos); 489 void sincosf(float x, float *sin, float *cos); 490 void sincosl(long double x, long double *sin, long double *cos); 491 #endif 492 493 /* #endif */ /* __ISO_C_VISIBLE >= 1999 */ 494 __END_DECLS 495 496 #endif /* !_MATH_H_ */ 497
