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 #define __pure2 25 26 /* 27 * ANSI/POSIX 28 */ 29 extern const union __infinity_un { 30 unsigned char __uc[8]; 31 double __ud; 32 } __infinity; 33 34 extern const union __nan_un { 35 unsigned char __uc[sizeof(float)]; 36 float __uf; 37 } __nan; 38 39 /* #if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800) */ 40 #if 1 41 #define __MATH_BUILTIN_CONSTANTS 42 #endif 43 44 /* #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER) */ 45 #if 1 46 #define __MATH_BUILTIN_RELOPS 47 #endif 48 49 /* #ifdef __MATH_BUILTIN_CONSTANTS */ 50 #if 1 51 #define HUGE_VAL __builtin_huge_val() 52 #else 53 #define HUGE_VAL (__infinity.__ud) 54 #endif 55 56 /* #if __ISO_C_VISIBLE >= 1999 */ 57 #if 0 58 #define FP_ILOGB0 (-__INT_MAX) 59 #define FP_ILOGBNAN __INT_MAX 60 #else 61 #define FP_ILOGB0 (-INT_MAX) 62 #define FP_ILOGBNAN INT_MAX 63 #endif 64 65 #ifdef __MATH_BUILTIN_CONSTANTS 66 #define HUGE_VALF __builtin_huge_valf() 67 #define HUGE_VALL __builtin_huge_vall() 68 #define INFINITY __builtin_inf() 69 #define NAN __builtin_nan("") 70 #else 71 #define HUGE_VALF (float)HUGE_VAL 72 #define HUGE_VALL (long double)HUGE_VAL 73 #define INFINITY HUGE_VALF 74 #define NAN (__nan.__uf) 75 #endif /* __MATH_BUILTIN_CONSTANTS */ 76 77 #define MATH_ERRNO 1 78 #define MATH_ERREXCEPT 2 79 #define math_errhandling MATH_ERREXCEPT 80 81 /* XXX We need a <machine/math.h>. */ 82 #if defined(__ia64__) || defined(__sparc64__) 83 #define FP_FAST_FMA 84 #endif 85 #ifdef __ia64__ 86 #define FP_FAST_FMAL 87 #endif 88 #define FP_FAST_FMAF 89 90 /* Symbolic constants to classify floating point numbers. */ 91 #define FP_INFINITE 0x01 92 #define FP_NAN 0x02 93 #define FP_NORMAL 0x04 94 #define FP_SUBNORMAL 0x08 95 #define FP_ZERO 0x10 96 #define fpclassify(x) \ 97 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \ 98 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \ 99 : __fpclassifyl(x)) 100 101 #define isfinite(x) \ 102 ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \ 103 : (sizeof (x) == sizeof (double)) ? __isfinite(x) \ 104 : __isfinitel(x)) 105 #define isinf(x) \ 106 ((sizeof (x) == sizeof (float)) ? __isinff(x) \ 107 : (sizeof (x) == sizeof (double)) ? __isinf(x) \ 108 : __isinfl(x)) 109 #define isnan(x) \ 110 ((sizeof (x) == sizeof (float)) ? isnanf(x) \ 111 : (sizeof (x) == sizeof (double)) ? isnan(x) \ 112 : __isnanl(x)) 113 #define isnormal(x) \ 114 ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \ 115 : (sizeof (x) == sizeof (double)) ? __isnormal(x) \ 116 : __isnormall(x)) 117 118 #ifdef __MATH_BUILTIN_RELOPS 119 #define isgreater(x, y) __builtin_isgreater((x), (y)) 120 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) 121 #define isless(x, y) __builtin_isless((x), (y)) 122 #define islessequal(x, y) __builtin_islessequal((x), (y)) 123 #define islessgreater(x, y) __builtin_islessgreater((x), (y)) 124 #define isunordered(x, y) __builtin_isunordered((x), (y)) 125 #else 126 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 127 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 128 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 129 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 130 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 131 ((x) > (y) || (y) > (x))) 132 #define isunordered(x, y) (isnan(x) || isnan(y)) 133 #endif /* __MATH_BUILTIN_RELOPS */ 134 135 #define signbit(x) \ 136 ((sizeof (x) == sizeof (float)) ? __signbitf(x) \ 137 : (sizeof (x) == sizeof (double)) ? __signbit(x) \ 138 : __signbitl(x)) 139 140 #if 0 141 typedef __double_t double_t; 142 typedef __float_t float_t; 143 #endif 144 /* #endif */ /* __ISO_C_VISIBLE >= 1999 */ 145 146 /* 147 * XOPEN/SVID 148 */ 149 /* #if __BSD_VISIBLE || __XSI_VISIBLE */ 150 #define M_E 2.7182818284590452354 /* e */ 151 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 152 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 153 #define M_LN2 0.69314718055994530942 /* log e2 */ 154 #define M_LN10 2.30258509299404568402 /* log e10 */ 155 #define M_PI 3.14159265358979323846 /* pi */ 156 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 157 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 158 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 159 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 160 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 161 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 162 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 163 164 #define MAXFLOAT ((float)3.40282346638528860e+38) 165 extern int signgam; 166 /* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */ 167 168 #if __BSD_VISIBLE 169 #if 0 170 /* Old value from 4.4BSD-Lite math.h; this is probably better. */ 171 #define HUGE HUGE_VAL 172 #else 173 #define HUGE MAXFLOAT 174 #endif 175 #endif /* __BSD_VISIBLE */ 176 177 /* 178 * Most of these functions depend on the rounding mode and have the side 179 * effect of raising floating-point exceptions, so they are not declared 180 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions. 181 */ 182 __BEGIN_DECLS 183 /* 184 * ANSI/POSIX 185 */ 186 int __fpclassifyd(double) __NDK_FPABI_MATH__ __pure2; 187 int __fpclassifyf(float) __NDK_FPABI_MATH__ __pure2; 188 int __fpclassifyl(long double) __NDK_FPABI_MATH__ __pure2; 189 int __isfinitef(float) __NDK_FPABI_MATH__ __pure2; 190 int __isfinite(double) __NDK_FPABI_MATH__ __pure2; 191 int __isfinitel(long double) __NDK_FPABI_MATH__ __pure2; 192 int __isinff(float) __NDK_FPABI_MATH__ __pure2; 193 int __isinf(double) __NDK_FPABI_MATH__ __pure2; 194 int __isinfl(long double) __NDK_FPABI_MATH__ __pure2; 195 int __isnanl(long double) __NDK_FPABI_MATH__ __pure2; 196 int __isnormalf(float) __NDK_FPABI_MATH__ __pure2; 197 int __isnormal(double) __NDK_FPABI_MATH__ __pure2; 198 int __isnormall(long double) __NDK_FPABI_MATH__ __pure2; 199 int __signbit(double) __NDK_FPABI_MATH__ __pure2; 200 int __signbitf(float) __NDK_FPABI_MATH__ __pure2; 201 int __signbitl(long double) __NDK_FPABI_MATH__ __pure2; 202 203 double acos(double) __NDK_FPABI_MATH__; 204 double asin(double) __NDK_FPABI_MATH__; 205 double atan(double) __NDK_FPABI_MATH__; 206 double atan2(double, double) __NDK_FPABI_MATH__; 207 double cos(double) __NDK_FPABI_MATH__; 208 double sin(double) __NDK_FPABI_MATH__; 209 double tan(double) __NDK_FPABI_MATH__; 210 211 double cosh(double) __NDK_FPABI_MATH__; 212 double sinh(double) __NDK_FPABI_MATH__; 213 double tanh(double) __NDK_FPABI_MATH__; 214 215 double exp(double) __NDK_FPABI_MATH__; 216 double frexp(double, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */ 217 double ldexp(double, int) __NDK_FPABI_MATH__; 218 double log(double) __NDK_FPABI_MATH__; 219 double log10(double) __NDK_FPABI_MATH__; 220 double modf(double, double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */ 221 222 double pow(double, double) __NDK_FPABI_MATH__; 223 double sqrt(double) __NDK_FPABI_MATH__; 224 225 double ceil(double) __NDK_FPABI_MATH__; 226 double fabs(double) __NDK_FPABI_MATH__ __pure2; 227 double floor(double) __NDK_FPABI_MATH__; 228 double fmod(double, double) __NDK_FPABI_MATH__; 229 230 /* 231 * These functions are not in C90. 232 */ 233 /* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 234 double acosh(double) __NDK_FPABI_MATH__; 235 double asinh(double) __NDK_FPABI_MATH__; 236 double atanh(double) __NDK_FPABI_MATH__; 237 double cbrt(double) __NDK_FPABI_MATH__; 238 double erf(double) __NDK_FPABI_MATH__; 239 double erfc(double) __NDK_FPABI_MATH__; 240 double exp2(double) __NDK_FPABI_MATH__; 241 double expm1(double) __NDK_FPABI_MATH__; 242 double fma(double, double, double) __NDK_FPABI_MATH__; 243 double hypot(double, double) __NDK_FPABI_MATH__; 244 int ilogb(double) __NDK_FPABI_MATH__ __pure2; 245 /* int (isinf)(double) __NDK_FPABI_MATH__ __pure2; */ 246 int (isnan)(double) __NDK_FPABI_MATH__ __pure2; 247 double lgamma(double) __NDK_FPABI_MATH__; 248 long long llrint(double) __NDK_FPABI_MATH__; 249 long long llround(double) __NDK_FPABI_MATH__; 250 double log1p(double) __NDK_FPABI_MATH__; 251 double log2(double) __NDK_FPABI_MATH__; 252 double logb(double) __NDK_FPABI_MATH__; 253 long lrint(double) __NDK_FPABI_MATH__; 254 long lround(double) __NDK_FPABI_MATH__; 255 double nan(const char *) __NDK_FPABI_MATH__ __pure2; 256 double nextafter(double, double) __NDK_FPABI_MATH__; 257 double remainder(double, double) __NDK_FPABI_MATH__; 258 double remquo(double, double, int *) __NDK_FPABI_MATH__; 259 double rint(double) __NDK_FPABI_MATH__; 260 /* #endif */ /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 261 262 /* #if __BSD_VISIBLE || __XSI_VISIBLE */ 263 double j0(double) __NDK_FPABI_MATH__; 264 double j1(double) __NDK_FPABI_MATH__; 265 double jn(int, double) __NDK_FPABI_MATH__; 266 double scalb(double, double) __NDK_FPABI_MATH__; 267 double y0(double) __NDK_FPABI_MATH__; 268 double y1(double) __NDK_FPABI_MATH__; 269 double yn(int, double) __NDK_FPABI_MATH__; 270 271 /* #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE */ 272 double gamma(double) __NDK_FPABI_MATH__; 273 /* #endif */ 274 /* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */ 275 276 /* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 */ 277 double copysign(double, double) __NDK_FPABI_MATH__ __pure2; 278 double fdim(double, double) __NDK_FPABI_MATH__; 279 double fmax(double, double) __NDK_FPABI_MATH__ __pure2; 280 double fmin(double, double) __NDK_FPABI_MATH__ __pure2; 281 double nearbyint(double) __NDK_FPABI_MATH__; 282 double round(double) __NDK_FPABI_MATH__; 283 double scalbln(double, long) __NDK_FPABI_MATH__; 284 double scalbn(double, int) __NDK_FPABI_MATH__; 285 double tgamma(double) __NDK_FPABI_MATH__; 286 double trunc(double) __NDK_FPABI_MATH__; 287 /* #endif */ 288 289 /* 290 * BSD math library entry points 291 */ 292 /* #if __BSD_VISIBLE */ 293 double drem(double, double) __NDK_FPABI_MATH__; 294 int finite(double) __NDK_FPABI_MATH__ __pure2; 295 int isnanf(float) __NDK_FPABI_MATH__ __pure2; 296 297 /* 298 * Reentrant version of gamma & lgamma; passes signgam back by reference 299 * as the second argument; user must allocate space for signgam. 300 */ 301 double gamma_r(double, int *) __NDK_FPABI_MATH__; 302 double lgamma_r(double, int *) __NDK_FPABI_MATH__; 303 304 /* 305 * IEEE Test Vector 306 */ 307 double significand(double) __NDK_FPABI_MATH__; 308 /* #endif */ /* __BSD_VISIBLE */ 309 310 /* float versions of ANSI/POSIX functions */ 311 /*#if __ISO_C_VISIBLE >= 1999 */ 312 float acosf(float) __NDK_FPABI_MATH__; 313 float asinf(float) __NDK_FPABI_MATH__; 314 float atanf(float) __NDK_FPABI_MATH__; 315 float atan2f(float, float) __NDK_FPABI_MATH__; 316 float cosf(float) __NDK_FPABI_MATH__; 317 float sinf(float) __NDK_FPABI_MATH__; 318 float tanf(float) __NDK_FPABI_MATH__; 319 320 float coshf(float) __NDK_FPABI_MATH__; 321 float sinhf(float) __NDK_FPABI_MATH__; 322 float tanhf(float) __NDK_FPABI_MATH__; 323 324 float exp2f(float) __NDK_FPABI_MATH__; 325 float expf(float) __NDK_FPABI_MATH__; 326 float expm1f(float) __NDK_FPABI_MATH__; 327 float frexpf(float, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */ 328 int ilogbf(float) __NDK_FPABI_MATH__ __pure2; 329 float ldexpf(float, int) __NDK_FPABI_MATH__; 330 float log10f(float) __NDK_FPABI_MATH__; 331 float log1pf(float) __NDK_FPABI_MATH__; 332 float log2f(float) __NDK_FPABI_MATH__; 333 float logf(float) __NDK_FPABI_MATH__; 334 float modff(float, float *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */ 335 336 float powf(float, float) __NDK_FPABI_MATH__; 337 float sqrtf(float) __NDK_FPABI_MATH__; 338 339 float ceilf(float) __NDK_FPABI_MATH__; 340 float fabsf(float) __NDK_FPABI_MATH__ __pure2; 341 float floorf(float) __NDK_FPABI_MATH__; 342 float fmodf(float, float) __NDK_FPABI_MATH__; 343 float roundf(float) __NDK_FPABI_MATH__; 344 345 float erff(float) __NDK_FPABI_MATH__; 346 float erfcf(float) __NDK_FPABI_MATH__; 347 float hypotf(float, float) __NDK_FPABI_MATH__; 348 float lgammaf(float) __NDK_FPABI_MATH__; 349 float tgammaf(float) __NDK_FPABI_MATH__; 350 351 float acoshf(float) __NDK_FPABI_MATH__; 352 float asinhf(float) __NDK_FPABI_MATH__; 353 float atanhf(float) __NDK_FPABI_MATH__; 354 float cbrtf(float) __NDK_FPABI_MATH__; 355 float logbf(float) __NDK_FPABI_MATH__; 356 float copysignf(float, float) __NDK_FPABI_MATH__ __pure2; 357 long long llrintf(float) __NDK_FPABI_MATH__; 358 long long llroundf(float) __NDK_FPABI_MATH__; 359 long lrintf(float) __NDK_FPABI_MATH__; 360 long lroundf(float) __NDK_FPABI_MATH__; 361 float nanf(const char *) __NDK_FPABI_MATH__ __pure2; 362 float nearbyintf(float) __NDK_FPABI_MATH__; 363 float nextafterf(float, float) __NDK_FPABI_MATH__; 364 float remainderf(float, float) __NDK_FPABI_MATH__; 365 float remquof(float, float, int *) __NDK_FPABI_MATH__; 366 float rintf(float) __NDK_FPABI_MATH__; 367 float scalblnf(float, long) __NDK_FPABI_MATH__; 368 float scalbnf(float, int) __NDK_FPABI_MATH__; 369 float truncf(float) __NDK_FPABI_MATH__; 370 371 float fdimf(float, float) __NDK_FPABI_MATH__; 372 float fmaf(float, float, float) __NDK_FPABI_MATH__; 373 float fmaxf(float, float) __NDK_FPABI_MATH__ __pure2; 374 float fminf(float, float) __NDK_FPABI_MATH__ __pure2; 375 /* #endif */ 376 377 /* 378 * float versions of BSD math library entry points 379 */ 380 /* #if __BSD_VISIBLE */ 381 float dremf(float, float) __NDK_FPABI_MATH__; 382 int finitef(float) __NDK_FPABI_MATH__ __pure2; 383 float gammaf(float) __NDK_FPABI_MATH__; 384 float j0f(float) __NDK_FPABI_MATH__; 385 float j1f(float) __NDK_FPABI_MATH__; 386 float jnf(int, float) __NDK_FPABI_MATH__; 387 float scalbf(float, float) __NDK_FPABI_MATH__; 388 float y0f(float) __NDK_FPABI_MATH__; 389 float y1f(float) __NDK_FPABI_MATH__; 390 float ynf(int, float) __NDK_FPABI_MATH__; 391 392 /* 393 * Float versions of reentrant version of gamma & lgamma; passes 394 * signgam back by reference as the second argument; user must 395 * allocate space for signgam. 396 */ 397 float gammaf_r(float, int *) __NDK_FPABI_MATH__; 398 float lgammaf_r(float, int *) __NDK_FPABI_MATH__; 399 400 /* 401 * float version of IEEE Test Vector 402 */ 403 float significandf(float) __NDK_FPABI_MATH__; 404 /* #endif */ /* __BSD_VISIBLE */ 405 406 /* 407 * long double versions of ISO/POSIX math functions 408 */ 409 /* #if __ISO_C_VISIBLE >= 1999 */ 410 #if 0 411 long double acoshl(long double) __NDK_FPABI_MATH__; 412 long double acosl(long double) __NDK_FPABI_MATH__; 413 long double asinhl(long double) __NDK_FPABI_MATH__; 414 long double asinl(long double) __NDK_FPABI_MATH__; 415 long double atan2l(long double, long double) __NDK_FPABI_MATH__; 416 long double atanhl(long double) __NDK_FPABI_MATH__; 417 long double atanl(long double) __NDK_FPABI_MATH__; 418 long double cbrtl(long double) __NDK_FPABI_MATH__; 419 #endif 420 long double ceill(long double) __NDK_FPABI_MATH__; 421 long double copysignl(long double, long double) __NDK_FPABI_MATH__ __pure2; 422 #if 0 423 long double coshl(long double) __NDK_FPABI_MATH__; 424 long double cosl(long double) __NDK_FPABI_MATH__; 425 long double erfcl(long double) __NDK_FPABI_MATH__; 426 long double erfl(long double) __NDK_FPABI_MATH__; 427 long double exp2l(long double) __NDK_FPABI_MATH__; 428 long double expl(long double) __NDK_FPABI_MATH__; 429 long double expm1l(long double) __NDK_FPABI_MATH__; 430 #endif 431 long double fabsl(long double) __NDK_FPABI_MATH__ __pure2; 432 long double fdiml(long double, long double) __NDK_FPABI_MATH__; 433 long double floorl(long double) __NDK_FPABI_MATH__; 434 long double fmal(long double, long double, long double) __NDK_FPABI_MATH__; 435 long double fmaxl(long double, long double) __NDK_FPABI_MATH__ __pure2; 436 long double fminl(long double, long double) __NDK_FPABI_MATH__ __pure2; 437 #if 0 438 long double fmodl(long double, long double) __NDK_FPABI_MATH__; 439 #endif 440 long double frexpl(long double value, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */ 441 #if 0 442 long double hypotl(long double, long double) __NDK_FPABI_MATH__; 443 #endif 444 int ilogbl(long double) __NDK_FPABI_MATH__ __pure2; 445 long double ldexpl(long double, int) __NDK_FPABI_MATH__; 446 #if 0 447 long double lgammal(long double) __NDK_FPABI_MATH__; 448 long long llrintl(long double) __NDK_FPABI_MATH__; 449 #endif 450 long long llroundl(long double) __NDK_FPABI_MATH__; 451 #if 0 452 long double log10l(long double) __NDK_FPABI_MATH__; 453 long double log1pl(long double) __NDK_FPABI_MATH__; 454 long double log2l(long double) __NDK_FPABI_MATH__; 455 #endif 456 long double logbl(long double) __NDK_FPABI_MATH__; 457 #if 0 458 long lrintl(long double) __NDK_FPABI_MATH__; 459 #endif 460 long lroundl(long double) __NDK_FPABI_MATH__; 461 #if 0 462 long double modfl(long double, long double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */ 463 #endif 464 long double nanl(const char *) __NDK_FPABI_MATH__ __pure2; 465 #if 0 466 long double nearbyintl(long double) __NDK_FPABI_MATH__; 467 #endif 468 long double nextafterl(long double, long double) __NDK_FPABI_MATH__; 469 double nexttoward(double, long double) __NDK_FPABI_MATH__; 470 float nexttowardf(float, long double) __NDK_FPABI_MATH__; 471 long double nexttowardl(long double, long double) __NDK_FPABI_MATH__; 472 #if 0 473 long double powl(long double, long double) __NDK_FPABI_MATH__; 474 long double remainderl(long double, long double) __NDK_FPABI_MATH__; 475 long double remquol(long double, long double, int *) __NDK_FPABI_MATH__; 476 long double rintl(long double) __NDK_FPABI_MATH__; 477 #endif 478 long double roundl(long double) __NDK_FPABI_MATH__; 479 long double scalblnl(long double, long) __NDK_FPABI_MATH__; 480 long double scalbnl(long double, int) __NDK_FPABI_MATH__; 481 #if 0 482 long double sinhl(long double) __NDK_FPABI_MATH__; 483 long double sinl(long double) __NDK_FPABI_MATH__; 484 long double sqrtl(long double) __NDK_FPABI_MATH__; 485 long double tanhl(long double) __NDK_FPABI_MATH__; 486 long double tanl(long double) __NDK_FPABI_MATH__; 487 long double tgammal(long double) __NDK_FPABI_MATH__; 488 #endif 489 long double truncl(long double) __NDK_FPABI_MATH__; 490 491 /* BIONIC: GLibc compatibility - required by the ARM toolchain */ 492 #ifdef _GNU_SOURCE 493 void sincos(double x, double *sin, double *cos) __NDK_FPABI_MATH__; 494 void sincosf(float x, float *sin, float *cos) __NDK_FPABI_MATH__; 495 void sincosl(long double x, long double *sin, long double *cos) __NDK_FPABI_MATH__; 496 #endif 497 498 long double log2l(long double) __NDK_FPABI_MATH__; 499 500 /* builtin version of all the above math functions are annotated too */ 501 502 double __builtin_acos(double) __NDK_FPABI_MATH__; 503 double __builtin_asin(double) __NDK_FPABI_MATH__; 504 double __builtin_atan(double) __NDK_FPABI_MATH__; 505 double __builtin_atan2(double, double) __NDK_FPABI_MATH__; 506 double __builtin_cos(double) __NDK_FPABI_MATH__; 507 double __builtin_sin(double) __NDK_FPABI_MATH__; 508 double __builtin_tan(double) __NDK_FPABI_MATH__; 509 double __builtin_cosh(double) __NDK_FPABI_MATH__; 510 double __builtin_sinh(double) __NDK_FPABI_MATH__; 511 double __builtin_tanh(double) __NDK_FPABI_MATH__; 512 double __builtin_exp(double) __NDK_FPABI_MATH__; 513 double __builtin_frexp(double, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */ 514 double __builtin_ldexp(double, int) __NDK_FPABI_MATH__; 515 double __builtin_log(double) __NDK_FPABI_MATH__; 516 double __builtin_log10(double) __NDK_FPABI_MATH__; 517 double __builtin_modf(double, double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */ 518 double __builtin_pow(double, double) __NDK_FPABI_MATH__; 519 double __builtin_sqrt(double) __NDK_FPABI_MATH__; 520 double __builtin_ceil(double) __NDK_FPABI_MATH__; 521 double __builtin_fabs(double) __NDK_FPABI_MATH__ __pure2; 522 double __builtin_floor(double) __NDK_FPABI_MATH__; 523 double __builtin_fmod(double, double) __NDK_FPABI_MATH__; 524 double __builtin_acosh(double) __NDK_FPABI_MATH__; 525 double __builtin_asinh(double) __NDK_FPABI_MATH__; 526 double __builtin_atanh(double) __NDK_FPABI_MATH__; 527 double __builtin_cbrt(double) __NDK_FPABI_MATH__; 528 double __builtin_erf(double) __NDK_FPABI_MATH__; 529 double __builtin_erfc(double) __NDK_FPABI_MATH__; 530 double __builtin_exp2(double) __NDK_FPABI_MATH__; 531 double __builtin_expm1(double) __NDK_FPABI_MATH__; 532 double __builtin_fma(double, double, double) __NDK_FPABI_MATH__; 533 double __builtin_hypot(double, double) __NDK_FPABI_MATH__; 534 int __builtin_ilogb(double) __NDK_FPABI_MATH__ __pure2; 535 /* int __builtin_isinf(double) __NDK_FPABI_MATH__ __pure2; */ 536 #if !defined(__clang__) || __clang_major__ > 3 || (__clang_major__ == 3 && __clang_minor__ >= 6) 537 int __builtin_isnan(double) __NDK_FPABI_MATH__ __pure2; 538 #else 539 /* clang < 3.5 has faulty prototype for __builtin_isnan */ 540 #endif 541 double __builtin_lgamma(double) __NDK_FPABI_MATH__; 542 long long __builtin_llrint(double) __NDK_FPABI_MATH__; 543 long long __builtin_llround(double) __NDK_FPABI_MATH__; 544 double __builtin_log1p(double) __NDK_FPABI_MATH__; 545 double __builtin_log2(double) __NDK_FPABI_MATH__; 546 double __builtin_logb(double) __NDK_FPABI_MATH__; 547 long __builtin_lrint(double) __NDK_FPABI_MATH__; 548 long __builtin_lround(double) __NDK_FPABI_MATH__; 549 double __builtin_nan(const char *) __NDK_FPABI_MATH__ __pure2; 550 double __builtin_nextafter(double, double) __NDK_FPABI_MATH__; 551 double __builtin_remainder(double, double) __NDK_FPABI_MATH__; 552 double __builtin_remquo(double, double, int *) __NDK_FPABI_MATH__; 553 double __builtin_rint(double) __NDK_FPABI_MATH__; 554 double __builtin_j0(double) __NDK_FPABI_MATH__; 555 double __builtin_j1(double) __NDK_FPABI_MATH__; 556 double __builtin_jn(int, double) __NDK_FPABI_MATH__; 557 double __builtin_scalb(double, double) __NDK_FPABI_MATH__; 558 double __builtin_y0(double) __NDK_FPABI_MATH__; 559 double __builtin_y1(double) __NDK_FPABI_MATH__; 560 double __builtin_yn(int, double) __NDK_FPABI_MATH__; 561 double __builtin_gamma(double) __NDK_FPABI_MATH__; 562 double __builtin_copysign(double, double) __NDK_FPABI_MATH__ __pure2; 563 double __builtin_fdim(double, double) __NDK_FPABI_MATH__; 564 double __builtin_fmax(double, double) __NDK_FPABI_MATH__ __pure2; 565 double __builtin_fmin(double, double) __NDK_FPABI_MATH__ __pure2; 566 double __builtin_nearbyint(double) __NDK_FPABI_MATH__; 567 double __builtin_round(double) __NDK_FPABI_MATH__; 568 double __builtin_scalbln(double, long) __NDK_FPABI_MATH__; 569 double __builtin_scalbn(double, int) __NDK_FPABI_MATH__; 570 double __builtin_tgamma(double) __NDK_FPABI_MATH__; 571 double __builtin_trunc(double) __NDK_FPABI_MATH__; 572 double __builtin_drem(double, double) __NDK_FPABI_MATH__; 573 int __builtin_finite(double) __NDK_FPABI_MATH__ __pure2; 574 int __builtin_isnanf(float) __NDK_FPABI_MATH__ __pure2; 575 double __builtin_gamma_r(double, int *) __NDK_FPABI_MATH__; 576 double __builtin_lgamma_r(double, int *) __NDK_FPABI_MATH__; 577 double __builtin_significand(double) __NDK_FPABI_MATH__; 578 float __builtin_acosf(float) __NDK_FPABI_MATH__; 579 float __builtin_asinf(float) __NDK_FPABI_MATH__; 580 float __builtin_atanf(float) __NDK_FPABI_MATH__; 581 float __builtin_atan2f(float, float) __NDK_FPABI_MATH__; 582 float __builtin_cosf(float) __NDK_FPABI_MATH__; 583 float __builtin_sinf(float) __NDK_FPABI_MATH__; 584 float __builtin_tanf(float) __NDK_FPABI_MATH__; 585 float __builtin_coshf(float) __NDK_FPABI_MATH__; 586 float __builtin_sinhf(float) __NDK_FPABI_MATH__; 587 float __builtin_tanhf(float) __NDK_FPABI_MATH__; 588 float __builtin_exp2f(float) __NDK_FPABI_MATH__; 589 float __builtin_expf(float) __NDK_FPABI_MATH__; 590 float __builtin_expm1f(float) __NDK_FPABI_MATH__; 591 float __builtin_frexpf(float, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */ 592 int __builtin_ilogbf(float) __NDK_FPABI_MATH__ __pure2; 593 float __builtin_ldexpf(float, int) __NDK_FPABI_MATH__; 594 float __builtin_log10f(float) __NDK_FPABI_MATH__; 595 float __builtin_log1pf(float) __NDK_FPABI_MATH__; 596 float __builtin_log2f(float) __NDK_FPABI_MATH__; 597 float __builtin_logf(float) __NDK_FPABI_MATH__; 598 float __builtin_modff(float, float *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */ 599 float __builtin_powf(float, float) __NDK_FPABI_MATH__; 600 float __builtin_sqrtf(float) __NDK_FPABI_MATH__; 601 float __builtin_ceilf(float) __NDK_FPABI_MATH__; 602 float __builtin_fabsf(float) __NDK_FPABI_MATH__ __pure2; 603 float __builtin_floorf(float) __NDK_FPABI_MATH__; 604 float __builtin_fmodf(float, float) __NDK_FPABI_MATH__; 605 float __builtin_roundf(float) __NDK_FPABI_MATH__; 606 float __builtin_erff(float) __NDK_FPABI_MATH__; 607 float __builtin_erfcf(float) __NDK_FPABI_MATH__; 608 float __builtin_hypotf(float, float) __NDK_FPABI_MATH__; 609 float __builtin_lgammaf(float) __NDK_FPABI_MATH__; 610 float __builtin_tgammaf(float) __NDK_FPABI_MATH__; 611 float __builtin_acoshf(float) __NDK_FPABI_MATH__; 612 float __builtin_asinhf(float) __NDK_FPABI_MATH__; 613 float __builtin_atanhf(float) __NDK_FPABI_MATH__; 614 float __builtin_cbrtf(float) __NDK_FPABI_MATH__; 615 float __builtin_logbf(float) __NDK_FPABI_MATH__; 616 float __builtin_copysignf(float, float) __NDK_FPABI_MATH__ __pure2; 617 long long __builtin_llrintf(float) __NDK_FPABI_MATH__; 618 long long __builtin_llroundf(float) __NDK_FPABI_MATH__; 619 long __builtin_lrintf(float) __NDK_FPABI_MATH__; 620 long __builtin_lroundf(float) __NDK_FPABI_MATH__; 621 float __builtin_nanf(const char *) __NDK_FPABI_MATH__ __pure2; 622 float __builtin_nearbyintf(float) __NDK_FPABI_MATH__; 623 float __builtin_nextafterf(float, float) __NDK_FPABI_MATH__; 624 float __builtin_remainderf(float, float) __NDK_FPABI_MATH__; 625 float __builtin_remquof(float, float, int *) __NDK_FPABI_MATH__; 626 float __builtin_rintf(float) __NDK_FPABI_MATH__; 627 float __builtin_scalblnf(float, long) __NDK_FPABI_MATH__; 628 float __builtin_scalbnf(float, int) __NDK_FPABI_MATH__; 629 float __builtin_truncf(float) __NDK_FPABI_MATH__; 630 float __builtin_fdimf(float, float) __NDK_FPABI_MATH__; 631 float __builtin_fmaf(float, float, float) __NDK_FPABI_MATH__; 632 float __builtin_fmaxf(float, float) __NDK_FPABI_MATH__ __pure2; 633 float __builtin_fminf(float, float) __NDK_FPABI_MATH__ __pure2; 634 float __builtin_dremf(float, float) __NDK_FPABI_MATH__; 635 int __builtin_finitef(float) __NDK_FPABI_MATH__ __pure2; 636 float __builtin_gammaf(float) __NDK_FPABI_MATH__; 637 float __builtin_j0f(float) __NDK_FPABI_MATH__; 638 float __builtin_j1f(float) __NDK_FPABI_MATH__; 639 float __builtin_jnf(int, float) __NDK_FPABI_MATH__; 640 float __builtin_scalbf(float, float) __NDK_FPABI_MATH__; 641 float __builtin_y0f(float) __NDK_FPABI_MATH__; 642 float __builtin_y1f(float) __NDK_FPABI_MATH__; 643 float __builtin_ynf(int, float) __NDK_FPABI_MATH__; 644 float __builtin_gammaf_r(float, int *) __NDK_FPABI_MATH__; 645 float __builtin_lgammaf_r(float, int *) __NDK_FPABI_MATH__; 646 float __builtin_significandf(float) __NDK_FPABI_MATH__; 647 long double __builtin_acoshl(long double) __NDK_FPABI_MATH__; 648 long double __builtin_acosl(long double) __NDK_FPABI_MATH__; 649 long double __builtin_asinhl(long double) __NDK_FPABI_MATH__; 650 long double __builtin_asinl(long double) __NDK_FPABI_MATH__; 651 long double __builtin_atan2l(long double, long double) __NDK_FPABI_MATH__; 652 long double __builtin_atanhl(long double) __NDK_FPABI_MATH__; 653 long double __builtin_atanl(long double) __NDK_FPABI_MATH__; 654 long double __builtin_cbrtl(long double) __NDK_FPABI_MATH__; 655 long double __builtin_ceill(long double) __NDK_FPABI_MATH__; 656 long double __builtin_copysignl(long double, long double) __NDK_FPABI_MATH__ __pure2; 657 long double __builtin_coshl(long double) __NDK_FPABI_MATH__; 658 long double __builtin_cosl(long double) __NDK_FPABI_MATH__; 659 long double __builtin_erfcl(long double) __NDK_FPABI_MATH__; 660 long double __builtin_erfl(long double) __NDK_FPABI_MATH__; 661 long double __builtin_exp2l(long double) __NDK_FPABI_MATH__; 662 long double __builtin_expl(long double) __NDK_FPABI_MATH__; 663 long double __builtin_expm1l(long double) __NDK_FPABI_MATH__; 664 long double __builtin_fabsl(long double) __NDK_FPABI_MATH__ __pure2; 665 long double __builtin_fdiml(long double, long double) __NDK_FPABI_MATH__; 666 long double __builtin_floorl(long double) __NDK_FPABI_MATH__; 667 long double __builtin_fmal(long double, long double, long double) __NDK_FPABI_MATH__; 668 long double __builtin_fmaxl(long double, long double) __NDK_FPABI_MATH__ __pure2; 669 long double __builtin_fminl(long double, long double) __NDK_FPABI_MATH__ __pure2; 670 long double __builtin_fmodl(long double, long double) __NDK_FPABI_MATH__; 671 long double __builtin_frexpl(long double value, int *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */ 672 long double __builtin_hypotl(long double, long double) __NDK_FPABI_MATH__; 673 int __builtin_ilogbl(long double) __NDK_FPABI_MATH__ __pure2; 674 long double __builtin_ldexpl(long double, int) __NDK_FPABI_MATH__; 675 long double __builtin_lgammal(long double) __NDK_FPABI_MATH__; 676 long long __builtin_llrintl(long double) __NDK_FPABI_MATH__; 677 long long __builtin_llroundl(long double) __NDK_FPABI_MATH__; 678 long double __builtin_log10l(long double) __NDK_FPABI_MATH__; 679 long double __builtin_log1pl(long double) __NDK_FPABI_MATH__; 680 long double __builtin_log2l(long double) __NDK_FPABI_MATH__; 681 long double __builtin_logbl(long double) __NDK_FPABI_MATH__; 682 long double __builtin_logl(long double) __NDK_FPABI_MATH__; 683 long __builtin_lrintl(long double) __NDK_FPABI_MATH__; 684 long __builtin_lroundl(long double) __NDK_FPABI_MATH__; 685 long double __builtin_modfl(long double, long double *) __NDK_FPABI_MATH__; /* fundamentally !__pure2 */ 686 long double __builtin_nanl(const char *) __NDK_FPABI_MATH__ __pure2; 687 long double __builtin_nearbyintl(long double) __NDK_FPABI_MATH__; 688 long double __builtin_nextafterl(long double, long double) __NDK_FPABI_MATH__; 689 #if !defined(__clang__) || __clang_major__ > 3 || (__clang_major__ == 3 && __clang_minor__ >= 4) 690 double __builtin_nexttoward(double, long double) __NDK_FPABI_MATH__; 691 float __builtin_nexttowardf(float, long double) __NDK_FPABI_MATH__; 692 #else 693 /* clang < 3.4 */ 694 double __builtin_nexttoward(double, double) __NDK_FPABI_MATH__; 695 float __builtin_nexttowardf(float, float) __NDK_FPABI_MATH__; 696 #endif 697 long double __builtin_nexttowardl(long double, long double) __NDK_FPABI_MATH__; 698 long double __builtin_powl(long double, long double) __NDK_FPABI_MATH__; 699 long double __builtin_remainderl(long double, long double) __NDK_FPABI_MATH__; 700 long double __builtin_remquol(long double, long double, int *) __NDK_FPABI_MATH__; 701 long double __builtin_rintl(long double) __NDK_FPABI_MATH__; 702 long double __builtin_roundl(long double) __NDK_FPABI_MATH__; 703 long double __builtin_scalblnl(long double, long) __NDK_FPABI_MATH__; 704 long double __builtin_scalbnl(long double, int) __NDK_FPABI_MATH__; 705 long double __builtin_sinhl(long double) __NDK_FPABI_MATH__; 706 long double __builtin_sinl(long double) __NDK_FPABI_MATH__; 707 long double __builtin_sqrtl(long double) __NDK_FPABI_MATH__; 708 long double __builtin_tanhl(long double) __NDK_FPABI_MATH__; 709 long double __builtin_tanl(long double) __NDK_FPABI_MATH__; 710 long double __builtin_tgammal(long double) __NDK_FPABI_MATH__; 711 long double __builtin_truncl(long double) __NDK_FPABI_MATH__; 712 void __builtin_sincos(double x, double *sin, double *cos) __NDK_FPABI_MATH__; 713 void __builtin_sincosf(float x, float *sin, float *cos) __NDK_FPABI_MATH__; 714 void __builtin_sincosl(long double x, long double *sin, long double *cos) __NDK_FPABI_MATH__; 715 long double __builtin_log2l(long double) __NDK_FPABI_MATH__; 716 717 /* #endif */ /* __ISO_C_VISIBLE >= 1999 */ 718 __END_DECLS 719 720 #endif /* !_MATH_H_ */ 721