compiler/mlib/math.h

   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 1.62 2007/01/07 07:54:21 das Exp $
  15  */
  16
  17 #ifndef _MATH_H_
  18 #define _MATH_H_
  19
  20 #include <aros/system.h>
  21 #include <inttypes.h>
  22 #include <limits.h>
  23
  24 #define __GNUC_PREREQ__ __GNUC_PREREQ
  25
  26
  27 /*
  28  * ANSI/POSIX
  29  */
  30 extern const union __infinity_un {
  31         unsigned char   __uc[8];
  32         double          __ud;
  33 } __infinity;
  34
  35 extern const union __nan_un {
  36         unsigned char   __uc[sizeof(float)];
  37         float           __uf;
  38 } __nan;
  39
  40 #if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
  41 #define __MATH_BUILTIN_CONSTANTS
  42 #endif
  43
  44 #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
  45 #define __MATH_BUILTIN_RELOPS
  46 #endif
  47
  48 #ifdef __MATH_BUILTIN_CONSTANTS
  49 #define HUGE_VAL        __builtin_huge_val()
  50 #else
  51 #define HUGE_VAL        (__infinity.__ud)
  52 #endif
  53
  54 #define        FP_ILOGB0       (-INT_MAX)
  55 #define        FP_ILOGBNAN     INT_MAX
  56
  57 #ifdef __MATH_BUILTIN_CONSTANTS
  58 #define HUGE_VALF       __builtin_huge_valf()
  59 #define HUGE_VALL       __builtin_huge_vall()
  60 #define INFINITY        __builtin_inf()
  61 #define NAN             __builtin_nan("")
  62 #else
  63 #define HUGE_VALF       (float)HUGE_VAL
  64 #define HUGE_VALL       (long double)HUGE_VAL
  65 #define INFINITY        HUGE_VALF
  66 #define NAN             (__nan.__uf)
  67 #endif /* __MATH_BUILTIN_CONSTANTS */
  68
  69 #define MATH_ERRNO      1
  70 #define MATH_ERREXCEPT  2
  71 #define math_errhandling        MATH_ERREXCEPT
  72
  73 /* XXX We need a <machine/math.h>. */
  74 #if defined(__ia64__) || defined(__sparc64__)
  75 #define FP_FAST_FMA
  76 #endif
  77 #ifdef __ia64__
  78 #define FP_FAST_FMAL
  79 #endif
  80 #define FP_FAST_FMAF
  81
  82 /* Symbolic constants to classify floating point numbers. */
  83 #define FP_INFINITE     0x01
  84 #define FP_NAN          0x02
  85 #define FP_NORMAL       0x04
  86 #define FP_SUBNORMAL    0x08
  87 #define FP_ZERO         0x10
  88
  89 #if 0
  90     NOT IMPL #define    fpclassify(x)                          \
  91     NOT IMPL     ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \
  92     NOT IMPL     : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \
  93     NOT IMPL     : __fpclassifyl(x))
  94 #endif
  95
  96 #define isfinite(x)                                     \
  97     ((sizeof (x) == sizeof (float)) ? __isfinitef(x)    \
  98     : (sizeof (x) == sizeof (double)) ? __isfinite(x)   \
  99     : __isfinitel(x))
 100 #define isinf(x)                                        \
 101     ((sizeof (x) == sizeof (float)) ? __isinff(x)       \
 102     : (sizeof (x) == sizeof (double)) ? isinf(x)        \
 103     : __isinfl(x))
 104 #define isnan(x)                                        \
 105     ((sizeof (x) == sizeof (float)) ? isnanf(x)         \
 106     : (sizeof (x) == sizeof (double)) ? __isnan(x)      \
 107     : __isnanl(x))
 108 #define isnormal(x)                                     \
 109     ((sizeof (x) == sizeof (float)) ? __isnormalf(x)    \
 110     : (sizeof (x) == sizeof (double)) ? __isnormal(x)   \
 111     : __isnormall(x))
 112
 113 #ifdef __MATH_BUILTIN_RELOPS
 114 #define isgreater(x, y)         __builtin_isgreater((x), (y))
 115 #define isgreaterequal(x, y)    __builtin_isgreaterequal((x), (y))
 116 #define isless(x, y)            __builtin_isless((x), (y))
 117 #define islessequal(x, y)       __builtin_islessequal((x), (y))
 118 #define islessgreater(x, y)     __builtin_islessgreater((x), (y))
 119 #define isunordered(x, y)       __builtin_isunordered((x), (y))
 120 #else
 121 #define isgreater(x, y)         (!isunordered((x), (y)) && (x) > (y))
 122 #define isgreaterequal(x, y)    (!isunordered((x), (y)) && (x) >= (y))
 123 #define isless(x, y)            (!isunordered((x), (y)) && (x) < (y))
 124 #define islessequal(x, y)       (!isunordered((x), (y)) && (x) <= (y))
 125 #define islessgreater(x, y)     (!isunordered((x), (y)) && \
 126                                         ((x) > (y) || (y) > (x)))
 127 #define isunordered(x, y)       (isnan(x) || isnan(y))
 128 #endif /* __MATH_BUILTIN_RELOPS */
 129
 130 #define signbit(x)                                      \
 131     ((sizeof (x) == sizeof (float)) ? __signbitf(x)     \
 132     : (sizeof (x) == sizeof (double)) ? __signbit(x)    \
 133     : __signbitl(x))
 134
 135 #if FLT_EVAL_METHOD <= 0
 136 typedef double double_t;
 137 typedef float float_t;
 138 #elif FLT_EVAL_METHOD == 1
 139 typedef double double_t;
 140 typedef double float_t;
 141 #elif FLT_EVAL_METHOD == 2
 142 typedef long double double_t;
 143 typedef long double float_t;
 144 #endif
 145
 146 /*
 147  * XOPEN/SVID
 148  */
 149 #define M_E             2.7182818284590452354   /* e */
 150 #define M_LOG2E         1.4426950408889634074   /* log 2e */
 151 #define M_LOG10E        0.43429448190325182765  /* log 10e */
 152 #define M_LN2           0.69314718055994530942  /* log e2 */
 153 #define M_LN10          2.30258509299404568402  /* log e10 */
 154 #define M_PI            3.14159265358979323846  /* pi */
 155 #define M_PI_2          1.57079632679489661923  /* pi/2 */
 156 #define M_PI_4          0.78539816339744830962  /* pi/4 */
 157 #define M_1_PI          0.31830988618379067154  /* 1/pi */
 158 #define M_2_PI          0.63661977236758134308  /* 2/pi */
 159 #define M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
 160 #define M_SQRT2         1.41421356237309504880  /* sqrt(2) */
 161 #define M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */
 162
 163 #define MAXFLOAT        ((float)3.40282346638528860e+38)
 164 extern int signgam;
 165
 166 #define HUGE            MAXFLOAT
 167
 168 /*
 169  * Most of these functions depend on the rounding mode and have the side
 170  * effect of raising floating-point exceptions, so they are not declared
 171  * as __pure2.  In C99, FENV_ACCESS affects the purity of these functions.
 172  */
 173 __BEGIN_DECLS
 174 /*
 175  * ANSI/POSIX
 176  */
 177 // NOT IMPL int __fpclassifyd(double) __pure2;
 178 // NOT IMPL int __fpclassifyf(float) __pure2;
 179 // NOT IMPL int __fpclassifyl(long double) __pure2;
 180 int     __isfinitef(float) __pure2;
 181 int     __isfinite(double) __pure2;
 182 int     __isfinitel(long double) __pure2;
 183 int     __isinff(float) __pure2;
 184 int     __isinfl(long double) __pure2;
 185 int     __isnan(double) __pure2;
 186 int     __isnanl(long double) __pure2;
 187 int     __isnormalf(float) __pure2;
 188 int     __isnormal(double) __pure2;
 189 int     __isnormall(long double) __pure2;
 190 int     __signbit(double) __pure2;
 191 int     __signbitf(float) __pure2;
 192 int     __signbitl(long double) __pure2;
 193
 194 double  acos(double);
 195 double  asin(double);
 196 double  atan(double);
 197 double  atan2(double, double);
 198 double  cos(double);
 199 double  sin(double);
 200 double  tan(double);
 201
 202 double  cosh(double);
 203 double  sinh(double);
 204 double  tanh(double);
 205
 206 double  exp(double);
 207 double  frexp(double, int *);   /* fundamentally !__pure2 */
 208 double  ldexp(double, int);
 209 double  log(double);
 210 double  log10(double);
 211 double  modf(double, double *); /* fundamentally !__pure2 */
 212
 213 double  pow(double, double);
 214 double  sqrt(double);
 215
 216 double  ceil(double);
 217 double  fabs(double) __pure2;
 218 double  floor(double);
 219 double  fmod(double, double);
 220
 221 /*
 222  * These functions are not in C90.
 223  */
 224 double  acosh(double);
 225 double  asinh(double);
 226 double  atanh(double);
 227 double  cbrt(double);
 228 double  erf(double);
 229 double  erfc(double);
 230 double  exp2(double);
 231 double  expm1(double);
 232 double  fma(double, double, double);
 233 double  hypot(double, double);
 234 int     ilogb(double) __pure2;
 235 int     (isinf)(double) __pure2;
 236 int     (isnan)(double) __pure2;
 237 double  lgamma(double);
 238 long long llrint(double);
 239 long long llround(double);
 240 double  log1p(double);
 241 double  logb(double);
 242 long    lrint(double);
 243 long    lround(double);
 244 double  nextafter(double, double);
 245 double  remainder(double, double);
 246 double  remquo(double, double, int *);
 247 double  rint(double);
 248 double  nan(const char *tagp);
 249
 250 double  j0(double);
 251 double  j1(double);
 252 double  jn(int, double);
 253 double  scalb(double, double);
 254 double  y0(double);
 255 double  y1(double);
 256 double  yn(int, double);
 257
 258 double  gamma(double);
 259
 260 double  copysign(double, double) __pure2;
 261 double  fdim(double, double);
 262 double  fmax(double, double) __pure2;
 263 double  fmin(double, double) __pure2;
 264 double  nearbyint(double);
 265 double  round(double);
 266 double  scalbln(double, long);
 267 double  scalbn(double, int);
 268 double  tgamma(double);
 269 double  trunc(double);
 270
 271 /*
 272  * BSD math library entry points
 273  */
 274 double  drem(double, double);
 275 int     finite(double) __pure2;
 276 int     isnanf(float) __pure2;
 277
 278 /*
 279  * Reentrant version of gamma & lgamma; passes signgam back by reference
 280  * as the second argument; user must allocate space for signgam.
 281  */
 282 double  gamma_r(double, int *);
 283 double  lgamma_r(double, int *);
 284
 285 /*
 286  * IEEE Test Vector
 287  */
 288 double  significand(double);
 289
 290 /* float versions of ANSI/POSIX functions */
 291 float   acosf(float);
 292 float   asinf(float);
 293 float   atanf(float);
 294 float   atan2f(float, float);
 295 float   cosf(float);
 296 float   sinf(float);
 297 float   tanf(float);
 298
 299 float   coshf(float);
 300 float   sinhf(float);
 301 float   tanhf(float);
 302
 303 float   exp2f(float);
 304 float   expf(float);
 305 float   expm1f(float);
 306 float   frexpf(float, int *);   /* fundamentally !__pure2 */
 307 int     ilogbf(float) __pure2;
 308 float   ldexpf(float, int);
 309 float   log10f(float);
 310 float   log1pf(float);
 311 float   logf(float);
 312 float   modff(float, float *);  /* fundamentally !__pure2 */
 313
 314 float   powf(float, float);
 315 float   sqrtf(float);
 316
 317 float   ceilf(float);
 318 float   fabsf(float) __pure2;
 319 float   floorf(float);
 320 float   fmodf(float, float);
 321 float   roundf(float);
 322
 323 float   erff(float);
 324 float   erfcf(float);
 325 float   hypotf(float, float);
 326 float   lgammaf(float);
 327
 328 float   acoshf(float);
 329 float   asinhf(float);
 330 float   atanhf(float);
 331 float   cbrtf(float);
 332 float   logbf(float);
 333 float   copysignf(float, float) __pure2;
 334 long long llrintf(float);
 335 long long llroundf(float);
 336 long    lrintf(float);
 337 long    lroundf(float);
 338 float   nearbyintf(float);
 339 float   nextafterf(float, float);
 340 float   remainderf(float, float);
 341 float   remquof(float, float, int *);
 342 float   rintf(float);
 343 float   scalblnf(float, long);
 344 float   scalbnf(float, int);
 345 float   truncf(float);
 346
 347 float   fdimf(float, float);
 348 float   fmaf(float, float, float);
 349 float   fmaxf(float, float) __pure2;
 350 float   fminf(float, float) __pure2;
 351
 352 float   nanf(const char *tagp);
 353
 354 /*
 355  * float versions of BSD math library entry points
 356  */
 357 float   dremf(float, float);
 358 int     finitef(float) __pure2;
 359 float   gammaf(float);
 360 float   j0f(float);
 361 float   j1f(float);
 362 float   jnf(int, float);
 363 float   scalbf(float, float);
 364 float   y0f(float);
 365 float   y1f(float);
 366 float   ynf(int, float);
 367
 368 /*
 369  * Float versions of reentrant version of gamma & lgamma; passes
 370  * signgam back by reference as the second argument; user must
 371  * allocate space for signgam.
 372  */
 373 float   gammaf_r(float, int *);
 374 float   lgammaf_r(float, int *);
 375
 376 /*
 377  * float version of IEEE Test Vector
 378  */
 379 float   significandf(float);
 380
 381 /*
 382  * long double versions of ISO/POSIX math functions
 383  */
 384 // NOT IMPL long double acoshl(long double);
 385 // NOT IMPL long double acosl(long double);
 386 // NOT IMPL long double asinhl(long double);
 387 // NOT IMPL long double asinl(long double);
 388 // NOT IMPL long double atan2l(long double, long double);
 389 // NOT IMPL long double atanhl(long double);
 390 // NOT IMPL long double atanl(long double);
 391 // NOT IMPL long double cbrtl(long double);
 392 long double     ceill(long double);
 393 long double     copysignl(long double, long double) __pure2;
 394 // NOT IMPL long double coshl(long double);
 395 // NOT IMPL long double cosl(long double);
 396 // NOT IMPL long double erfcl(long double);
 397 // NOT IMPL long double erfl(long double);
 398 // NOT IMPL long double exp2l(long double);
 399 // NOT IMPL long double expl(long double);
 400 // NOT IMPL long double expm1l(long double);
 401 long double     fabsl(long double) __pure2;
 402 long double     fdiml(long double, long double);
 403 long double     floorl(long double);
 404 long double     fmal(long double, long double, long double);
 405 long double     fmaxl(long double, long double) __pure2;
 406 long double     fminl(long double, long double) __pure2;
 407 // NOT IMPL long double fmodl(long double, long double);
 408 long double     frexpl(long double value, int *); /* fundamentally !__pure2 */
 409 // NOT IMPL long double hypotl(long double, long double);
 410 int             ilogbl(long double) __pure2;
 411 long double     ldexpl(long double, int);
 412 // NOT IMPL long double lgammal(long double);
 413 // NOT IMPL long long   llrintl(long double);
 414 long long       llroundl(long double);
 415 // NOT IMPL long double log10l(long double);
 416 // NOT IMPL long double log1pl(long double);
 417 // NOT IMPL long double log2l(long double);
 418 // NOT IMPL long double logbl(long double);
 419 // NOT IMPL long double logl(long double);
 420 // NOT IMPL long                lrintl(long double);
 421 long            lroundl(long double);
 422 long double     modfl(long double, long double *); /* fundamentally !__pure2 */
 423 // NOT IMPL long double nanl(const char *) __pure2;
 424 // NOT IMPL long double nearbyintl(long double);
 425 long double     nextafterl(long double, long double);
 426 double          nexttoward(double, long double);
 427 float           nexttowardf(float, long double);
 428 long double     nexttowardl(long double, long double);
 429 // NOT IMPL long double powl(long double, long double);
 430 // NOT IMPL long double remainderl(long double, long double);
 431 // NOT IMPL long double remquol(long double, long double, int *);
 432 // NOT IMPL long double rintl(long double);
 433 long double     roundl(long double);
 434 long double     scalblnl(long double, long);
 435 long double     scalbnl(long double, int);
 436 // NOT IMPL long double sinhl(long double);
 437 // NOT IMPL long double sinl(long double);
 438 // NOT IMPL long double sqrtl(long double);
 439 // NOT IMPL long double tanhl(long double);
 440 // NOT IMPL long double tanl(long double);
 441 // NOT IMPL long double tgammal(long double);
 442 long double     truncl(long double);
 443 long double     nanl(const char *tagp);
 444
 445 __END_DECLS
 446
 447 #endif /* !_MATH_H_ */