include/math.h

   1 #ifndef _MATH_H
   2 #define _MATH_H
   3
   4 #ifdef __cplusplus
   5 extern "C" {
   6 #endif
   7
   8 #include <features.h>
   9
  10 #define __NEED_float_t
  11 #define __NEED_double_t
  12 #include <bits/alltypes.h>
  13
  14 #if 100*__GNUC__+__GNUC_MINOR__ >= 303
  15 #define NAN       __builtin_nanf("")
  16 #define INFINITY  __builtin_inff()
  17 #else
  18 #define NAN       (0.0f/0.0f)
  19 #define INFINITY  1e5000f
  20 #endif
  21
  22 #define HUGE_VALF INFINITY
  23 #define HUGE_VAL  ((double)INFINITY)
  24 #define HUGE_VALL ((long double)INFINITY)
  25
  26 #define MATH_ERRNO  1
  27 #define MATH_ERREXCEPT 2
  28 #define math_errhandling 2
  29
  30 #define FP_ILOGBNAN (-1-0x7fffffff)
  31 #define FP_ILOGB0 FP_ILOGBNAN
  32
  33 #define FP_NAN       0
  34 #define FP_INFINITE  1
  35 #define FP_ZERO      2
  36 #define FP_SUBNORMAL 3
  37 #define FP_NORMAL    4
  38
  39 #ifdef __FP_FAST_FMA
  40 #define FP_FAST_FMA 1
  41 #endif
  42
  43 #ifdef __FP_FAST_FMAF
  44 #define FP_FAST_FMAF 1
  45 #endif
  46
  47 #ifdef __FP_FAST_FMAL
  48 #define FP_FAST_FMAL 1
  49 #endif
  50
  51 int __fpclassify(double);
  52 int __fpclassifyf(float);
  53 int __fpclassifyl(long double);
  54
  55 static __inline unsigned __FLOAT_BITS(float __f)
  56 {
  57         union {float __f; unsigned __i;} __u;
  58         __u.__f = __f;
  59         return __u.__i;
  60 }
  61 static __inline unsigned long long __DOUBLE_BITS(double __f)
  62 {
  63         union {double __f; unsigned long long __i;} __u;
  64         __u.__f = __f;
  65         return __u.__i;
  66 }
  67
  68 #define fpclassify(x) ( \
  69         sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \
  70         sizeof(x) == sizeof(double) ? __fpclassify(x) : \
  71         __fpclassifyl(x) )
  72
  73 #define isinf(x) ( \
  74         sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \
  75         sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) == 0x7ffULL<<52 : \
  76         __fpclassifyl(x) == FP_INFINITE)
  77
  78 #define isnan(x) ( \
  79         sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \
  80         sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) > 0x7ffULL<<52 : \
  81         __fpclassifyl(x) == FP_NAN)
  82
  83 #define isnormal(x) ( \
  84         sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \
  85         sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+(1ULL<<52)) & -1ULL>>1) >= 1ULL<<53 : \
  86         __fpclassifyl(x) == FP_NORMAL)
  87
  88 #define isfinite(x) ( \
  89         sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \
  90         sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) < 0x7ffULL<<52 : \
  91         __fpclassifyl(x) > FP_INFINITE)
  92
  93 int __signbit(double);
  94 int __signbitf(float);
  95 int __signbitl(long double);
  96
  97 #define signbit(x) ( \
  98         sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \
  99         sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \
 100         __signbitl(x) )
 101
 102 #define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))
 103
 104 #define __ISREL_DEF(rel, op, type) \
 105 static __inline int __is##rel(type __x, type __y) \
 106 { return !isunordered(__x,__y) && __x op __y; }
 107
 108 __ISREL_DEF(lessf, <, float_t)
 109 __ISREL_DEF(less, <, double_t)
 110 __ISREL_DEF(lessl, <, long double)
 111 __ISREL_DEF(lessequalf, <=, float_t)
 112 __ISREL_DEF(lessequal, <=, double_t)
 113 __ISREL_DEF(lessequall, <=, long double)
 114 __ISREL_DEF(lessgreaterf, !=, float_t)
 115 __ISREL_DEF(lessgreater, !=, double_t)
 116 __ISREL_DEF(lessgreaterl, !=, long double)
 117 __ISREL_DEF(greaterf, >, float_t)
 118 __ISREL_DEF(greater, >, double_t)
 119 __ISREL_DEF(greaterl, >, long double)
 120 __ISREL_DEF(greaterequalf, >=, float_t)
 121 __ISREL_DEF(greaterequal, >=, double_t)
 122 __ISREL_DEF(greaterequall, >=, long double)
 123
 124 #define __tg_pred_2(x, y, p) ( \
 125         sizeof((x)+(y)) == sizeof(float) ? p##f(x, y) : \
 126         sizeof((x)+(y)) == sizeof(double) ? p(x, y) : \
 127         p##l(x, y) )
 128
 129 #define isless(x, y)            __tg_pred_2(x, y, __isless)
 130 #define islessequal(x, y)       __tg_pred_2(x, y, __islessequal)
 131 #define islessgreater(x, y)     __tg_pred_2(x, y, __islessgreater)
 132 #define isgreater(x, y)         __tg_pred_2(x, y, __isgreater)
 133 #define isgreaterequal(x, y)    __tg_pred_2(x, y, __isgreaterequal)
 134
 135 double      acos(double);
 136 float       acosf(float);
 137 long double acosl(long double);
 138
 139 double      acosh(double);
 140 float       acoshf(float);
 141 long double acoshl(long double);
 142
 143 double      asin(double);
 144 float       asinf(float);
 145 long double asinl(long double);
 146
 147 double      asinh(double);
 148 float       asinhf(float);
 149 long double asinhl(long double);
 150
 151 double      atan(double);
 152 float       atanf(float);
 153 long double atanl(long double);
 154
 155 double      atan2(double, double);
 156 float       atan2f(float, float);
 157 long double atan2l(long double, long double);
 158
 159 double      atanh(double);
 160 float       atanhf(float);
 161 long double atanhl(long double);
 162
 163 double      cbrt(double);
 164 float       cbrtf(float);
 165 long double cbrtl(long double);
 166
 167 double      ceil(double);
 168 float       ceilf(float);
 169 long double ceill(long double);
 170
 171 double      copysign(double, double);
 172 float       copysignf(float, float);
 173 long double copysignl(long double, long double);
 174
 175 double      cos(double);
 176 float       cosf(float);
 177 long double cosl(long double);
 178
 179 double      cosh(double);
 180 float       coshf(float);
 181 long double coshl(long double);
 182
 183 double      erf(double);
 184 float       erff(float);
 185 long double erfl(long double);
 186
 187 double      erfc(double);
 188 float       erfcf(float);
 189 long double erfcl(long double);
 190
 191 double      exp(double);
 192 float       expf(float);
 193 long double expl(long double);
 194
 195 double      exp2(double);
 196 float       exp2f(float);
 197 long double exp2l(long double);
 198
 199 double      expm1(double);
 200 float       expm1f(float);
 201 long double expm1l(long double);
 202
 203 double      fabs(double);
 204 float       fabsf(float);
 205 long double fabsl(long double);
 206
 207 double      fdim(double, double);
 208 float       fdimf(float, float);
 209 long double fdiml(long double, long double);
 210
 211 double      floor(double);
 212 float       floorf(float);
 213 long double floorl(long double);
 214
 215 double      fma(double, double, double);
 216 float       fmaf(float, float, float);
 217 long double fmal(long double, long double, long double);
 218
 219 double      fmax(double, double);
 220 float       fmaxf(float, float);
 221 long double fmaxl(long double, long double);
 222
 223 double      fmin(double, double);
 224 float       fminf(float, float);
 225 long double fminl(long double, long double);
 226
 227 double      fmod(double, double);
 228 float       fmodf(float, float);
 229 long double fmodl(long double, long double);
 230
 231 double      frexp(double, int *);
 232 float       frexpf(float, int *);
 233 long double frexpl(long double, int *);
 234
 235 double      hypot(double, double);
 236 float       hypotf(float, float);
 237 long double hypotl(long double, long double);
 238
 239 int         ilogb(double);
 240 int         ilogbf(float);
 241 int         ilogbl(long double);
 242
 243 double      ldexp(double, int);
 244 float       ldexpf(float, int);
 245 long double ldexpl(long double, int);
 246
 247 double      lgamma(double);
 248 float       lgammaf(float);
 249 long double lgammal(long double);
 250
 251 long long   llrint(double);
 252 long long   llrintf(float);
 253 long long   llrintl(long double);
 254
 255 long long   llround(double);
 256 long long   llroundf(float);
 257 long long   llroundl(long double);
 258
 259 double      log(double);
 260 float       logf(float);
 261 long double logl(long double);
 262
 263 double      log10(double);
 264 float       log10f(float);
 265 long double log10l(long double);
 266
 267 double      log1p(double);
 268 float       log1pf(float);
 269 long double log1pl(long double);
 270
 271 double      log2(double);
 272 float       log2f(float);
 273 long double log2l(long double);
 274
 275 double      logb(double);
 276 float       logbf(float);
 277 long double logbl(long double);
 278
 279 long        lrint(double);
 280 long        lrintf(float);
 281 long        lrintl(long double);
 282
 283 long        lround(double);
 284 long        lroundf(float);
 285 long        lroundl(long double);
 286
 287 double      modf(double, double *);
 288 float       modff(float, float *);
 289 long double modfl(long double, long double *);
 290
 291 double      nan(const char *);
 292 float       nanf(const char *);
 293 long double nanl(const char *);
 294
 295 double      nearbyint(double);
 296 float       nearbyintf(float);
 297 long double nearbyintl(long double);
 298
 299 double      nextafter(double, double);
 300 float       nextafterf(float, float);
 301 long double nextafterl(long double, long double);
 302
 303 double      nexttoward(double, long double);
 304 float       nexttowardf(float, long double);
 305 long double nexttowardl(long double, long double);
 306
 307 double      pow(double, double);
 308 float       powf(float, float);
 309 long double powl(long double, long double);
 310
 311 double      remainder(double, double);
 312 float       remainderf(float, float);
 313 long double remainderl(long double, long double);
 314
 315 double      remquo(double, double, int *);
 316 float       remquof(float, float, int *);
 317 long double remquol(long double, long double, int *);
 318
 319 double      rint(double);
 320 float       rintf(float);
 321 long double rintl(long double);
 322
 323 double      round(double);
 324 float       roundf(float);
 325 long double roundl(long double);
 326
 327 double      scalbln(double, long);
 328 float       scalblnf(float, long);
 329 long double scalblnl(long double, long);
 330
 331 double      scalbn(double, int);
 332 float       scalbnf(float, int);
 333 long double scalbnl(long double, int);
 334
 335 double      sin(double);
 336 float       sinf(float);
 337 long double sinl(long double);
 338
 339 double      sinh(double);
 340 float       sinhf(float);
 341 long double sinhl(long double);
 342
 343 double      sqrt(double);
 344 float       sqrtf(float);
 345 long double sqrtl(long double);
 346
 347 double      tan(double);
 348 float       tanf(float);
 349 long double tanl(long double);
 350
 351 double      tanh(double);
 352 float       tanhf(float);
 353 long double tanhl(long double);
 354
 355 double      tgamma(double);
 356 float       tgammaf(float);
 357 long double tgammal(long double);
 358
 359 double      trunc(double);
 360 float       truncf(float);
 361 long double truncl(long double);
 362
 363
 364 #if defined(_XOPEN_SOURCE) || defined(_BSD_SOURCE)
 365 #undef  MAXFLOAT
 366 #define MAXFLOAT        3.40282346638528859812e+38F
 367 #endif
 368
 369 #if defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
 370 #define M_E             2.7182818284590452354   /* e */
 371 #define M_LOG2E         1.4426950408889634074   /* log_2 e */
 372 #define M_LOG10E        0.43429448190325182765  /* log_10 e */
 373 #define M_LN2           0.69314718055994530942  /* log_e 2 */
 374 #define M_LN10          2.30258509299404568402  /* log_e 10 */
 375 #define M_PI            3.14159265358979323846  /* pi */
 376 #define M_PI_2          1.57079632679489661923  /* pi/2 */
 377 #define M_PI_4          0.78539816339744830962  /* pi/4 */
 378 #define M_1_PI          0.31830988618379067154  /* 1/pi */
 379 #define M_2_PI          0.63661977236758134308  /* 2/pi */
 380 #define M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
 381 #define M_SQRT2         1.41421356237309504880  /* sqrt(2) */
 382 #define M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */
 383
 384 extern int signgam;
 385
 386 double      j0(double);
 387 double      j1(double);
 388 double      jn(int, double);
 389
 390 double      y0(double);
 391 double      y1(double);
 392 double      yn(int, double);
 393 #endif
 394
 395 #if defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
 396 #define HUGE            3.40282346638528859812e+38F
 397
 398 double      drem(double, double);
 399 float       dremf(float, float);
 400
 401 int         finite(double);
 402 int         finitef(float);
 403
 404 double      scalb(double, double);
 405 float       scalbf(float, float);
 406
 407 double      significand(double);
 408 float       significandf(float);
 409
 410 double      lgamma_r(double, int*);
 411 float       lgammaf_r(float, int*);
 412
 413 float       j0f(float);
 414 float       j1f(float);
 415 float       jnf(int, float);
 416
 417 float       y0f(float);
 418 float       y1f(float);
 419 float       ynf(int, float);
 420 #endif
 421
 422 #ifdef _GNU_SOURCE
 423 long double lgammal_r(long double, int*);
 424
 425 void        sincos(double, double*, double*);
 426 void        sincosf(float, float*, float*);
 427 void        sincosl(long double, long double*, long double*);
 428
 429 double      exp10(double);
 430 float       exp10f(float);
 431 long double exp10l(long double);
 432
 433 double      pow10(double);
 434 float       pow10f(float);
 435 long double pow10l(long double);
 436 #endif
 437
 438 #ifdef __cplusplus
 439 }
 440 #endif
 441
 442 #endif