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 nextafter(double, double); 253 double remainder(double, double); 254 double remquo(double, double, int *); 255 double rint(double); 256 /* #endif */ /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 257 258 /* #if __BSD_VISIBLE || __XSI_VISIBLE */ 259 double j0(double); 260 double j1(double); 261 double jn(int, double); 262 double scalb(double, double); 263 double y0(double); 264 double y1(double); 265 double yn(int, double); 266 267 /* #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE */ 268 double gamma(double); 269 /* #endif */ 270 /* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */ 271 272 /* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 */ 273 double copysign(double, double) __pure2; 274 double fdim(double, double); 275 double fmax(double, double) __pure2; 276 double fmin(double, double) __pure2; 277 double nearbyint(double); 278 double round(double); 279 double scalbln(double, long); 280 double scalbn(double, int); 281 double tgamma(double); 282 double trunc(double); 283 /* #endif */ 284 285 /* 286 * BSD math library entry points 287 */ 288 /* #if __BSD_VISIBLE */ 289 double drem(double, double); 290 int finite(double) __pure2; 291 int isnanf(float) __pure2; 292 293 /* 294 * Reentrant version of gamma & lgamma; passes signgam back by reference 295 * as the second argument; user must allocate space for signgam. 296 */ 297 double gamma_r(double, int *); 298 double lgamma_r(double, int *); 299 300 /* 301 * IEEE Test Vector 302 */ 303 double significand(double); 304 /* #endif */ /* __BSD_VISIBLE */ 305 306 /* float versions of ANSI/POSIX functions */ 307 /*#if __ISO_C_VISIBLE >= 1999 */ 308 float acosf(float); 309 float asinf(float); 310 float atanf(float); 311 float atan2f(float, float); 312 float cosf(float); 313 float sinf(float); 314 float tanf(float); 315 316 float coshf(float); 317 float sinhf(float); 318 float tanhf(float); 319 320 float exp2f(float); 321 float expf(float); 322 float expm1f(float); 323 float frexpf(float, int *); /* fundamentally !__pure2 */ 324 int ilogbf(float) __pure2; 325 float ldexpf(float, int); 326 float log10f(float); 327 float log1pf(float); 328 float logf(float); 329 float modff(float, float *); /* fundamentally !__pure2 */ 330 331 float powf(float, float); 332 float sqrtf(float); 333 334 float ceilf(float); 335 float fabsf(float) __pure2; 336 float floorf(float); 337 float fmodf(float, float); 338 float roundf(float); 339 340 float erff(float); 341 float erfcf(float); 342 float hypotf(float, float); 343 float lgammaf(float); 344 345 float acoshf(float); 346 float asinhf(float); 347 float atanhf(float); 348 float cbrtf(float); 349 float logbf(float); 350 float copysignf(float, float) __pure2; 351 long long llrintf(float); 352 long long llroundf(float); 353 long lrintf(float); 354 long lroundf(float); 355 float nearbyintf(float); 356 float nextafterf(float, float); 357 float remainderf(float, float); 358 float remquof(float, float, int *); 359 float rintf(float); 360 float scalblnf(float, long); 361 float scalbnf(float, int); 362 float truncf(float); 363 364 float fdimf(float, float); 365 float fmaf(float, float, float); 366 float fmaxf(float, float) __pure2; 367 float fminf(float, float) __pure2; 368 /* #endif */ 369 370 /* 371 * float versions of BSD math library entry points 372 */ 373 /* #if __BSD_VISIBLE */ 374 float dremf(float, float); 375 int finitef(float) __pure2; 376 float gammaf(float); 377 float j0f(float); 378 float j1f(float); 379 float jnf(int, float); 380 float scalbf(float, float); 381 float y0f(float); 382 float y1f(float); 383 float ynf(int, float); 384 385 /* 386 * Float versions of reentrant version of gamma & lgamma; passes 387 * signgam back by reference as the second argument; user must 388 * allocate space for signgam. 389 */ 390 float gammaf_r(float, int *); 391 float lgammaf_r(float, int *); 392 393 /* 394 * float version of IEEE Test Vector 395 */ 396 float significandf(float); 397 /* #endif */ /* __BSD_VISIBLE */ 398 399 /* 400 * long double versions of ISO/POSIX math functions 401 */ 402 /* #if __ISO_C_VISIBLE >= 1999 */ 403 #if 0 404 long double acoshl(long double); 405 long double acosl(long double); 406 long double asinhl(long double); 407 long double asinl(long double); 408 long double atan2l(long double, long double); 409 long double atanhl(long double); 410 long double atanl(long double); 411 long double cbrtl(long double); 412 #endif 413 long double ceill(long double); 414 long double copysignl(long double, long double) __pure2; 415 #if 0 416 long double coshl(long double); 417 long double cosl(long double); 418 long double erfcl(long double); 419 long double erfl(long double); 420 long double exp2l(long double); 421 long double expl(long double); 422 long double expm1l(long double); 423 #endif 424 long double fabsl(long double) __pure2; 425 long double fdiml(long double, long double); 426 long double floorl(long double); 427 long double fmal(long double, long double, long double); 428 long double fmaxl(long double, long double) __pure2; 429 long double fminl(long double, long double) __pure2; 430 #if 0 431 long double fmodl(long double, long double); 432 #endif 433 long double frexpl(long double value, int *); /* fundamentally !__pure2 */ 434 #if 0 435 long double hypotl(long double, long double); 436 #endif 437 int ilogbl(long double) __pure2; 438 long double ldexpl(long double, int); 439 #if 0 440 long double lgammal(long double); 441 long long llrintl(long double); 442 #endif 443 long long llroundl(long double); 444 #if 0 445 long double log10l(long double); 446 long double log1pl(long double); 447 long double log2l(long double); 448 long double logbl(long double); 449 long double logl(long double); 450 long lrintl(long double); 451 #endif 452 long lroundl(long double); 453 #if 0 454 long double modfl(long double, long double *); /* fundamentally !__pure2 */ 455 long double nanl(const char *) __pure2; 456 long double nearbyintl(long double); 457 #endif 458 long double nextafterl(long double, long double); 459 double nexttoward(double, long double); 460 float nexttowardf(float, long double); 461 long double nexttowardl(long double, long double); 462 #if 0 463 long double powl(long double, long double); 464 long double remainderl(long double, long double); 465 long double remquol(long double, long double, int *); 466 long double rintl(long double); 467 #endif 468 long double roundl(long double); 469 long double scalblnl(long double, long); 470 long double scalbnl(long double, int); 471 #if 0 472 long double sinhl(long double); 473 long double sinl(long double); 474 long double sqrtl(long double); 475 long double tanhl(long double); 476 long double tanl(long double); 477 long double tgammal(long double); 478 #endif 479 long double truncl(long double); 480 481 /* BIONIC: GLibc compatibility - required by the ARM toolchain */ 482 #ifdef _GNU_SOURCE 483 void sincos(double x, double *sin, double *cos); 484 void sincosf(float x, float *sin, float *cos); 485 void sincosl(long double x, long double *sin, long double *cos); 486 #endif 487 488 /* #endif */ /* __ISO_C_VISIBLE >= 1999 */ 489 __END_DECLS 490 491 #endif /* !_MATH_H_ */ 492