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  1e40f
  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-(int)(((unsigned)-1)>>1))
  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 int __fpclassify(double);
  40 int __fpclassifyf(float);
  41 int __fpclassifyl(long double);
  42
  43 static __inline unsigned __FLOAT_BITS(float __f)
  44 {
  45         union {float __f; unsigned __i;} __u = {__f};
  46         return __u.__i;
  47 }
  48 static __inline unsigned long long __DOUBLE_BITS(double __f)
  49 {
  50         union {double __f; unsigned long long __i;} __u = {__f};
  51         return __u.__i;
  52 }
  53
  54 #define fpclassify(x) ( \
  55         sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \
  56         sizeof(x) == sizeof(double) ? __fpclassify(x) : \
  57         __fpclassifyl(x) )
  58
  59 #define isinf(x) ( \
  60         sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \
  61         sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) == 0x7ffULL<<52 : \
  62         __fpclassifyl(x) == FP_INFINITE)
  63
  64 #define isnan(x) ( \
  65         sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \
  66         sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) > 0x7ffULL<<52 : \
  67         __fpclassifyl(x) == FP_NAN)
  68
  69 #define isnormal(x) ( \
  70         sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \
  71         sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+(1ULL<<52)) & -1ULL>>1) >= 1ULL<<53 : \
  72         __fpclassifyl(x) == FP_NORMAL)
  73
  74 #define isfinite(x) ( \
  75         sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \
  76         sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) < 0x7ffULL<<52 : \
  77         __fpclassifyl(x) > FP_INFINITE)
  78
  79 int __signbit(double);
  80 int __signbitf(float);
  81 int __signbitl(long double);
  82
  83 #define signbit(x) ( \
  84         sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \
  85         sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \
  86         __signbitl(x) )
  87
  88 #define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))
  89
  90 #define __ISREL_DEF(rel, op, type) \
  91 static __inline int __is##rel(type __x, type __y) \
  92 { return !isunordered(__x,__y) && __x op __y; }
  93
  94 __ISREL_DEF(lessf, <, float_t)
  95 __ISREL_DEF(less, <, double_t)
  96 __ISREL_DEF(lessl, <, long double)
  97 __ISREL_DEF(lessequalf, <=, float_t)
  98 __ISREL_DEF(lessequal, <=, double_t)
  99 __ISREL_DEF(lessequall, <=, long double)
 100 __ISREL_DEF(lessgreaterf, !=, float_t)
 101 __ISREL_DEF(lessgreater, !=, double_t)
 102 __ISREL_DEF(lessgreaterl, !=, long double)
 103 __ISREL_DEF(greaterf, >, float_t)
 104 __ISREL_DEF(greater, >, double_t)
 105 __ISREL_DEF(greaterl, >, long double)
 106 __ISREL_DEF(greaterequalf, >=, float_t)
 107 __ISREL_DEF(greaterequal, >=, double_t)
 108 __ISREL_DEF(greaterequall, >=, long double)
 109
 110 #define __tg_pred_2(x, y, p) ( \
 111         sizeof((x)+(y)) == sizeof(float) ? p##f(x, y) : \
 112         sizeof((x)+(y)) == sizeof(double) ? p(x, y) : \
 113         p##l(x, y) )
 114
 115 #define isless(x, y)            __tg_pred_2(x, y, __isless)
 116 #define islessequal(x, y)       __tg_pred_2(x, y, __islessequal)
 117 #define islessgreater(x, y)     __tg_pred_2(x, y, __islessgreater)
 118 #define isgreater(x, y)         __tg_pred_2(x, y, __isgreater)
 119 #define isgreaterequal(x, y)    __tg_pred_2(x, y, __isgreaterequal)
 120
 121 double      acos(double);
 122 float       acosf(float);
 123 long double acosl(long double);
 124
 125 double      acosh(double);
 126 float       acoshf(float);
 127 long double acoshl(long double);
 128
 129 double      asin(double);
 130 float       asinf(float);
 131 long double asinl(long double);
 132
 133 double      asinh(double);
 134 float       asinhf(float);
 135 long double asinhl(long double);
 136
 137 double      atan(double);
 138 float       atanf(float);
 139 long double atanl(long double);
 140
 141 double      atan2(double, double);
 142 float       atan2f(float, float);
 143 long double atan2l(long double, long double);
 144
 145 double      atanh(double);
 146 float       atanhf(float);
 147 long double atanhl(long double);
 148
 149 double      cbrt(double);
 150 float       cbrtf(float);
 151 long double cbrtl(long double);
 152
 153 double      ceil(double);
 154 float       ceilf(float);
 155 long double ceill(long double);
 156
 157 double      copysign(double, double);
 158 float       copysignf(float, float);
 159 long double copysignl(long double, long double);
 160
 161 double      cos(double);
 162 float       cosf(float);
 163 long double cosl(long double);
 164
 165 double      cosh(double);
 166 float       coshf(float);
 167 long double coshl(long double);
 168
 169 double      erf(double);
 170 float       erff(float);
 171 long double erfl(long double);
 172
 173 double      erfc(double);
 174 float       erfcf(float);
 175 long double erfcl(long double);
 176
 177 double      exp(double);
 178 float       expf(float);
 179 long double expl(long double);
 180
 181 double      exp2(double);
 182 float       exp2f(float);
 183 long double exp2l(long double);
 184
 185 double      expm1(double);
 186 float       expm1f(float);
 187 long double expm1l(long double);
 188
 189 double      fabs(double);
 190 float       fabsf(float);
 191 long double fabsl(long double);
 192
 193 double      fdim(double, double);
 194 float       fdimf(float, float);
 195 long double fdiml(long double, long double);
 196
 197 double      floor(double);
 198 float       floorf(float);
 199 long double floorl(long double);
 200
 201 double      fma(double, double, double);
 202 float       fmaf(float, float, float);
 203 long double fmal(long double, long double, long double);
 204
 205 double      fmax(double, double);
 206 float       fmaxf(float, float);
 207 long double fmaxl(long double, long double);
 208
 209 double      fmin(double, double);
 210 float       fminf(float, float);
 211 long double fminl(long double, long double);
 212
 213 double      fmod(double, double);
 214 float       fmodf(float, float);
 215 long double fmodl(long double, long double);
 216
 217 double      frexp(double, int *);
 218 float       frexpf(float, int *);
 219 long double frexpl(long double, int *);
 220
 221 double      hypot(double, double);
 222 float       hypotf(float, float);
 223 long double hypotl(long double, long double);
 224
 225 int         ilogb(double);
 226 int         ilogbf(float);
 227 int         ilogbl(long double);
 228
 229 double      ldexp(double, int);
 230 float       ldexpf(float, int);
 231 long double ldexpl(long double, int);
 232
 233 double      lgamma(double);
 234 float       lgammaf(float);
 235 long double lgammal(long double);
 236
 237 long long   llrint(double);
 238 long long   llrintf(float);
 239 long long   llrintl(long double);
 240
 241 long long   llround(double);
 242 long long   llroundf(float);
 243 long long   llroundl(long double);
 244
 245 double      log(double);
 246 float       logf(float);
 247 long double logl(long double);
 248
 249 double      log10(double);
 250 float       log10f(float);
 251 long double log10l(long double);
 252
 253 double      log1p(double);
 254 float       log1pf(float);
 255 long double log1pl(long double);
 256
 257 double      log2(double);
 258 float       log2f(float);
 259 long double log2l(long double);
 260
 261 double      logb(double);
 262 float       logbf(float);
 263 long double logbl(long double);
 264
 265 long        lrint(double);
 266 long        lrintf(float);
 267 long        lrintl(long double);
 268
 269 long        lround(double);
 270 long        lroundf(float);
 271 long        lroundl(long double);
 272
 273 double      modf(double, double *);
 274 float       modff(float, float *);
 275 long double modfl(long double, long double *);
 276
 277 double      nan(const char *);
 278 float       nanf(const char *);
 279 long double nanl(const char *);
 280
 281 double      nearbyint(double);
 282 float       nearbyintf(float);
 283 long double nearbyintl(long double);
 284
 285 double      nextafter(double, double);
 286 float       nextafterf(float, float);
 287 long double nextafterl(long double, long double);
 288
 289 double      nexttoward(double, long double);
 290 float       nexttowardf(float, long double);
 291 long double nexttowardl(long double, long double);
 292
 293 double      pow(double, double);
 294 float       powf(float, float);
 295 long double powl(long double, long double);
 296
 297 double      remainder(double, double);
 298 float       remainderf(float, float);
 299 long double remainderl(long double, long double);
 300
 301 double      remquo(double, double, int *);
 302 float       remquof(float, float, int *);
 303 long double remquol(long double, long double, int *);
 304
 305 double      rint(double);
 306 float       rintf(float);
 307 long double rintl(long double);
 308
 309 double      round(double);
 310 float       roundf(float);
 311 long double roundl(long double);
 312
 313 double      scalbln(double, long);
 314 float       scalblnf(float, long);
 315 long double scalblnl(long double, long);
 316
 317 double      scalbn(double, int);
 318 float       scalbnf(float, int);
 319 long double scalbnl(long double, int);
 320
 321 double      sin(double);
 322 float       sinf(float);
 323 long double sinl(long double);
 324
 325 double      sinh(double);
 326 float       sinhf(float);
 327 long double sinhl(long double);
 328
 329 double      sqrt(double);
 330 float       sqrtf(float);
 331 long double sqrtl(long double);
 332
 333 double      tan(double);
 334 float       tanf(float);
 335 long double tanl(long double);
 336
 337 double      tanh(double);
 338 float       tanhf(float);
 339 long double tanhl(long double);
 340
 341 double      tgamma(double);
 342 float       tgammaf(float);
 343 long double tgammal(long double);
 344
 345 double      trunc(double);
 346 float       truncf(float);
 347 long double truncl(long double);
 348
 349
 350 #if defined(_XOPEN_SOURCE) || defined(_BSD_SOURCE)
 351 #undef  MAXFLOAT
 352 #define MAXFLOAT        3.40282346638528859812e+38F
 353 #endif
 354
 355 #if defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
 356 #define M_E             2.7182818284590452354   /* e */
 357 #define M_LOG2E         1.4426950408889634074   /* log_2 e */
 358 #define M_LOG10E        0.43429448190325182765  /* log_10 e */
 359 #define M_LN2           0.69314718055994530942  /* log_e 2 */
 360 #define M_LN10          2.30258509299404568402  /* log_e 10 */
 361 #define M_PI            3.14159265358979323846  /* pi */
 362 #define M_PI_2          1.57079632679489661923  /* pi/2 */
 363 #define M_PI_4          0.78539816339744830962  /* pi/4 */
 364 #define M_1_PI          0.31830988618379067154  /* 1/pi */
 365 #define M_2_PI          0.63661977236758134308  /* 2/pi */
 366 #define M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
 367 #define M_SQRT2         1.41421356237309504880  /* sqrt(2) */
 368 #define M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */
 369
 370 extern int signgam;
 371
 372 double      j0(double);
 373 double      j1(double);
 374 double      jn(int, double);
 375
 376 double      y0(double);
 377 double      y1(double);
 378 double      yn(int, double);
 379 #endif
 380
 381 #if defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
 382 #define HUGE            3.40282346638528859812e+38F
 383
 384 double      drem(double, double);
 385 float       dremf(float, float);
 386
 387 int         finite(double);
 388 int         finitef(float);
 389
 390 double      scalb(double, double);
 391 float       scalbf(float, float);
 392
 393 double      significand(double);
 394 float       significandf(float);
 395
 396 double      lgamma_r(double, int*);
 397 float       lgammaf_r(float, int*);
 398
 399 float       j0f(float);
 400 float       j1f(float);
 401 float       jnf(int, float);
 402
 403 float       y0f(float);
 404 float       y1f(float);
 405 float       ynf(int, float);
 406 #endif
 407
 408 #ifdef _GNU_SOURCE
 409 long double lgammal_r(long double, int*);
 410
 411 void        sincos(double, double*, double*);
 412 void        sincosf(float, float*, float*);
 413 void        sincosl(long double, long double*, long double*);
 414
 415 double      exp10(double);
 416 float       exp10f(float);
 417 long double exp10l(long double);
 418
 419 double      pow10(double);
 420 float       pow10f(float);
 421 long double pow10l(long double);
 422 #endif
 423
 424 #ifdef __cplusplus
 425 }
 426 #endif
 427
 428 #endif