tools/brcm/K26/hndtools-mipsel-uclibc-4.2.4/include/math.h

   1 /* Declarations for math functions.
   2    Copyright (C) 1991-1993, 1995-1999, 2001, 2002, 2004, 2006
   3    Free Software Foundation, Inc.
   4    This file is part of the GNU C Library.
   5
   6    The GNU C Library is free software; you can redistribute it and/or
   7    modify it under the terms of the GNU Lesser General Public
   8    License as published by the Free Software Foundation; either
   9    version 2.1 of the License, or (at your option) any later version.
  10
  11    The GNU C Library is distributed in the hope that it will be useful,
  12    but WITHOUT ANY WARRANTY; without even the implied warranty of
  13    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  14    Lesser General Public License for more details.
  15
  16    You should have received a copy of the GNU Lesser General Public
  17    License along with the GNU C Library; if not, write to the Free
  18    Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
  19    02111-1307 USA.  */
  20
  21 /*
  22  *      ISO C99 Standard: 7.12 Mathematics      <math.h>
  23  */
  24
  25 #ifndef _MATH_H
  26 #define _MATH_H 1
  27
  28 #include <features.h>
  29
  30 __BEGIN_DECLS
  31
  32 /* Get machine-dependent HUGE_VAL value (returned on overflow).
  33    On all IEEE754 machines, this is +Infinity.  */
  34 #include <bits/huge_val.h>
  35 #ifdef __USE_ISOC99
  36 # include <bits/huge_valf.h>
  37 # include <bits/huge_vall.h>
  38
  39 /* Get machine-dependent INFINITY value.  */
  40 # include <bits/inf.h>
  41
  42 /* Get machine-dependent NAN value (returned for some domain errors).  */
  43 # include <bits/nan.h>
  44 #endif /* __USE_ISOC99 */
  45
  46 /* Get general and ISO C99 specific information.  */
  47 #include <bits/mathdef.h>
  48
  49 #if !(defined _LIBC && (defined NOT_IN_libc && defined IS_IN_libm))
  50 # define libm_hidden_proto(name, attrs...)
  51 #endif
  52
  53 /* The file <bits/mathcalls.h> contains the prototypes for all the
  54    actual math functions.  These macros are used for those prototypes,
  55    so we can easily declare each function as both `name' and `__name',
  56    and can declare the float versions `namef' and `__namef'.  */
  57
  58 #define __MATHCALL(function,suffix, args)       \
  59   __MATHDECL (_Mdouble_,function,suffix, args)
  60 #define __MATHDECL(type, function,suffix, args) \
  61   __MATHDECL_1(type, function,suffix, args);
  62 #define __MATHCALLX(function,suffix, args, attrib)      \
  63   __MATHDECLX (_Mdouble_,function,suffix, args, attrib)
  64 #define __MATHDECLX(type, function,suffix, args, attrib) \
  65   __MATHDECL_1(type, function,suffix, args) __attribute__ (attrib); \
  66   __MATHDECLI_MAINVARIANT(function)
  67 #define __MATHDECL_1(type, function,suffix, args) \
  68   extern type __MATH_PRECNAME(function,suffix) args __THROW
  69 /* Decls which are also used internally in libm.
  70    Only the main variant is used internally, no need to try to avoid relocs
  71    for the {l,f} variants.  */
  72 #define __MATHCALLI(function,suffix, args)      \
  73   __MATHDECLI (_Mdouble_,function,suffix, args)
  74 #define __MATHDECLI(type, function,suffix, args) \
  75   __MATHDECL_1(type, function,suffix, args); \
  76   __MATHDECLI_MAINVARIANT(function)
  77 /* Private helpers for purely macro impls below.
  78    Only make __foo{,f,l} visible but not (the macro-only) foo.  */
  79 #define __MATHDECL_PRIV(type, function,suffix, args, attrib) \
  80   __MATHDECL_1(type, __CONCAT(__,function),suffix, args) \
  81                                                 __attribute__ (attrib); \
  82   libm_hidden_proto(__MATH_PRECNAME(__##function,suffix))
  83
  84 #define __MATHDECLI_MAINVARIANT libm_hidden_proto
  85 #define _Mdouble_               double
  86 #define __MATH_PRECNAME(name,r) __CONCAT(name,r)
  87 # define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_STD
  88 # define _Mdouble_END_NAMESPACE   __END_NAMESPACE_STD
  89 #include <bits/mathcalls.h>
  90 #undef  _Mdouble_
  91 #undef _Mdouble_BEGIN_NAMESPACE
  92 #undef _Mdouble_END_NAMESPACE
  93 #undef __MATH_PRECNAME
  94 #undef __MATHDECLI_MAINVARIANT
  95 #define __MATHDECLI_MAINVARIANT(x)
  96
  97 #if defined __USE_MISC || defined __USE_ISOC99
  98
  99
 100 /* Include the file of declarations again, this time using `float'
 101    instead of `double' and appending f to each function name.  */
 102
 103 # ifndef _Mfloat_
 104 #  define _Mfloat_              float
 105 # endif
 106 # define _Mdouble_              _Mfloat_
 107 # ifdef __STDC__
 108 #  define __MATH_PRECNAME(name,r) name##f##r
 109 # else
 110 #  define __MATH_PRECNAME(name,r) name/**/f/**/r
 111 # endif
 112 # define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_C99
 113 # define _Mdouble_END_NAMESPACE   __END_NAMESPACE_C99
 114 # include <bits/mathcalls.h>
 115 # undef _Mdouble_
 116 # undef _Mdouble_BEGIN_NAMESPACE
 117 # undef _Mdouble_END_NAMESPACE
 118 # undef __MATH_PRECNAME
 119
 120 # if (__STDC__ - 0 || __GNUC__ - 0) \
 121      && (!defined __NO_LONG_DOUBLE_MATH || defined __LDBL_COMPAT)
 122 #  ifdef __LDBL_COMPAT
 123
 124 #   ifdef __USE_ISOC99
 125 extern float __nldbl_nexttowardf (float __x, long double __y)
 126                                   __THROW __attribute__ ((__const__));
 127 #    ifdef __REDIRECT_NTH
 128 extern float __REDIRECT_NTH (nexttowardf, (float __x, long double __y),
 129                              __nldbl_nexttowardf)
 130      __attribute__ ((__const__));
 131 extern double __REDIRECT_NTH (nexttoward, (double __x, long double __y),
 132                               nextafter) __attribute__ ((__const__));
 133 extern long double __REDIRECT_NTH (nexttowardl,
 134                                    (long double __x, long double __y),
 135                                    nextafter) __attribute__ ((__const__));
 136 #    endif
 137 #   endif
 138
 139 /* Include the file of declarations again, this time using `long double'
 140    instead of `double' and appending l to each function name.  */
 141
 142 #   undef __MATHDECL_1
 143 #   define __MATHDECL_2(type, function,suffix, args, alias) \
 144   extern type __REDIRECT_NTH(__MATH_PRECNAME(function,suffix), \
 145                              args, alias)
 146 #   define __MATHDECL_1(type, function,suffix, args) \
 147   __MATHDECL_2(type, function,suffix, args, __CONCAT(function,suffix))
 148 #  endif
 149
 150 #  ifndef _Mlong_double_
 151 #   define _Mlong_double_       long double
 152 #  endif
 153 #  define _Mdouble_             _Mlong_double_
 154 #  ifdef __STDC__
 155 #   define __MATH_PRECNAME(name,r) name##l##r
 156 #  else
 157 #   define __MATH_PRECNAME(name,r) name/**/l/**/r
 158 #  endif
 159 #  define _Mdouble_BEGIN_NAMESPACE __BEGIN_NAMESPACE_C99
 160 #  define _Mdouble_END_NAMESPACE   __END_NAMESPACE_C99
 161 #  include <bits/mathcalls.h>
 162 #  undef _Mdouble_
 163 # undef _Mdouble_BEGIN_NAMESPACE
 164 # undef _Mdouble_END_NAMESPACE
 165 #  undef __MATH_PRECNAME
 166
 167 # endif /* __STDC__ || __GNUC__ */
 168
 169 #endif  /* Use misc or ISO C99.  */
 170 #undef  __MATHDECL_1
 171 #undef  __MATHDECL
 172 #undef  __MATHCALL
 173
 174
 175 #if defined __USE_MISC || defined __USE_XOPEN
 176 /* This variable is used by `gamma' and `lgamma'.  */
 177 extern int signgam;
 178 #endif
 179
 180
 181 /* ISO C99 defines some generic macros which work on any data type.  */
 182 #if defined(__USE_ISOC99) || defined(__USE_BSD)
 183
 184 /* Get the architecture specific values describing the floating-point
 185    evaluation.  The following symbols will get defined:
 186
 187     float_t     floating-point type at least as wide as `float' used
 188                 to evaluate `float' expressions
 189     double_t    floating-point type at least as wide as `double' used
 190                 to evaluate `double' expressions
 191
 192     FLT_EVAL_METHOD
 193                 Defined to
 194                   0     if `float_t' is `float' and `double_t' is `double'
 195                   1     if `float_t' and `double_t' are `double'
 196                   2     if `float_t' and `double_t' are `long double'
 197                   else  `float_t' and `double_t' are unspecified
 198
 199     INFINITY    representation of the infinity value of type `float'
 200
 201     FP_FAST_FMA
 202     FP_FAST_FMAF
 203     FP_FAST_FMAL
 204                 If defined it indicates that the `fma' function
 205                 generally executes about as fast as a multiply and an add.
 206                 This macro is defined only iff the `fma' function is
 207                 implemented directly with a hardware multiply-add instructions.
 208
 209     FP_ILOGB0   Expands to a value returned by `ilogb (0.0)'.
 210     FP_ILOGBNAN Expands to a value returned by `ilogb (NAN)'.
 211
 212     DECIMAL_DIG Number of decimal digits supported by conversion between
 213                 decimal and all internal floating-point formats.
 214
 215 */
 216
 217 /* All floating-point numbers can be put in one of these categories.  */
 218 enum
 219   {
 220     FP_NAN,
 221 # define FP_NAN FP_NAN
 222     FP_INFINITE,
 223 # define FP_INFINITE FP_INFINITE
 224     FP_ZERO,
 225 # define FP_ZERO FP_ZERO
 226     FP_SUBNORMAL,
 227 # define FP_SUBNORMAL FP_SUBNORMAL
 228     FP_NORMAL
 229 # define FP_NORMAL FP_NORMAL
 230   };
 231
 232 /* Return number of classification appropriate for X.  */
 233 # ifdef __NO_LONG_DOUBLE_MATH
 234 #  define fpclassify(x) \
 235      (sizeof (x) == sizeof (float) ? __fpclassifyf (x) : __fpclassify (x))
 236 # else
 237 #  define fpclassify(x) \
 238      (sizeof (x) == sizeof (float)                                            \
 239       ? __fpclassifyf (x)                                                     \
 240       : sizeof (x) == sizeof (double)                                         \
 241       ? __fpclassify (x) : __fpclassifyl (x))
 242 # endif
 243
 244 /* Return nonzero value if sign of X is negative.  */
 245 # ifdef __NO_LONG_DOUBLE_MATH
 246 #  define signbit(x) \
 247      (sizeof (x) == sizeof (float) ? __signbitf (x) : __signbit (x))
 248 # else
 249 #  define signbit(x) \
 250      (sizeof (x) == sizeof (float)                                            \
 251       ? __signbitf (x)                                                        \
 252       : sizeof (x) == sizeof (double)                                         \
 253       ? __signbit (x) : __signbitl (x))
 254 # endif
 255
 256 /* Return nonzero value if X is not +-Inf or NaN.  */
 257 # ifdef __NO_LONG_DOUBLE_MATH
 258 #  define isfinite(x) \
 259      (sizeof (x) == sizeof (float) ? __finitef (x) : __finite (x))
 260 # else
 261 #  define isfinite(x) \
 262      (sizeof (x) == sizeof (float)                                            \
 263       ? __finitef (x)                                                         \
 264       : sizeof (x) == sizeof (double)                                         \
 265       ? __finite (x) : __finitel (x))
 266 # endif
 267
 268 /* Return nonzero value if X is neither zero, subnormal, Inf, nor NaN.  */
 269 # define isnormal(x) (fpclassify (x) == FP_NORMAL)
 270
 271 /* Return nonzero value if X is a NaN.  We could use `fpclassify' but
 272    we already have this functions `__isnan' and it is faster.  */
 273 # ifdef __NO_LONG_DOUBLE_MATH
 274 #  define isnan(x) \
 275      (sizeof (x) == sizeof (float) ? __isnanf (x) : __isnan (x))
 276 # else
 277 #  define isnan(x) \
 278      (sizeof (x) == sizeof (float)                                            \
 279       ? __isnanf (x)                                                          \
 280       : sizeof (x) == sizeof (double)                                         \
 281       ? __isnan (x) : __isnanl (x))
 282 # endif
 283
 284 /* Return nonzero value is X is positive or negative infinity.  */
 285 # ifdef __NO_LONG_DOUBLE_MATH
 286 #  define isinf(x) \
 287      (sizeof (x) == sizeof (float) ? __isinff (x) : __isinf (x))
 288 # else
 289 #  define isinf(x) \
 290      (sizeof (x) == sizeof (float)                                            \
 291       ? __isinff (x)                                                          \
 292       : sizeof (x) == sizeof (double)                                         \
 293       ? __isinf (x) : __isinfl (x))
 294 # endif
 295
 296 /* Bitmasks for the math_errhandling macro.  */
 297 # define MATH_ERRNO     1       /* errno set by math functions.  */
 298 # define MATH_ERREXCEPT 2       /* Exceptions raised by math functions.  */
 299
 300 #endif /* Use ISO C99.  */
 301
 302 /* BSD compat */
 303 #define finite(x) __finite(x)
 304 #define finitef(x) __finitef(x)
 305 #define finitel(x) __finitel(x)
 306
 307 #ifdef  __USE_MISC
 308 /* Support for various different standard error handling behaviors.  */
 309 typedef enum
 310 {
 311   _IEEE_ = -1,  /* According to IEEE 754/IEEE 854.  */
 312   _SVID_,       /* According to System V, release 4.  */
 313   _XOPEN_,      /* Nowadays also Unix98.  */
 314   _POSIX_,
 315   _ISOC_        /* Actually this is ISO C99.  */
 316 } _LIB_VERSION_TYPE;
 317
 318 /* This variable can be changed at run-time to any of the values above to
 319    affect floating point error handling behavior (it may also be necessary
 320    to change the hardware FPU exception settings).  */
 321 extern _LIB_VERSION_TYPE _LIB_VERSION;
 322 #endif
 323
 324
 325 #ifdef __USE_SVID
 326 /* In SVID error handling, `matherr' is called with this description
 327    of the exceptional condition.
 328
 329    We have a problem when using C++ since `exception' is a reserved
 330    name in C++.  */
 331 # ifdef __cplusplus
 332 struct __exception
 333 # else
 334 struct exception
 335 # endif
 336   {
 337     int type;
 338     char *name;
 339     double arg1;
 340     double arg2;
 341     double retval;
 342   };
 343
 344 # ifdef __cplusplus
 345 extern int matherr (struct __exception *__exc) throw ();
 346 # else
 347 extern int matherr (struct exception *__exc);
 348 # endif
 349
 350 # define X_TLOSS        1.41484755040568800000e+16
 351
 352 /* Types of exceptions in the `type' field.  */
 353 # define DOMAIN         1
 354 # define SING           2
 355 # define OVERFLOW       3
 356 # define UNDERFLOW      4
 357 # define TLOSS          5
 358 # define PLOSS          6
 359
 360 /* SVID mode specifies returning this large value instead of infinity.  */
 361 # define HUGE           3.40282347e+38F
 362
 363 #else   /* !SVID */
 364
 365 # ifdef __USE_XOPEN
 366 /* X/Open wants another strange constant.  */
 367 #  define MAXFLOAT      3.40282347e+38F
 368 # endif
 369
 370 #endif  /* SVID */
 371
 372
 373 /* Some useful constants.  */
 374 #if defined __USE_BSD || defined __USE_XOPEN
 375 # define M_E            2.7182818284590452354   /* e */
 376 # define M_LOG2E        1.4426950408889634074   /* log_2 e */
 377 # define M_LOG10E       0.43429448190325182765  /* log_10 e */
 378 # define M_LN2          0.69314718055994530942  /* log_e 2 */
 379 # define M_LN10         2.30258509299404568402  /* log_e 10 */
 380 # define M_PI           3.14159265358979323846  /* pi */
 381 # define M_PI_2         1.57079632679489661923  /* pi/2 */
 382 # define M_PI_4         0.78539816339744830962  /* pi/4 */
 383 # define M_1_PI         0.31830988618379067154  /* 1/pi */
 384 # define M_2_PI         0.63661977236758134308  /* 2/pi */
 385 # define M_2_SQRTPI     1.12837916709551257390  /* 2/sqrt(pi) */
 386 # define M_SQRT2        1.41421356237309504880  /* sqrt(2) */
 387 # define M_SQRT1_2      0.70710678118654752440  /* 1/sqrt(2) */
 388 #endif
 389
 390 /* The above constants are not adequate for computation using `long double's.
 391    Therefore we provide as an extension constants with similar names as a
 392    GNU extension.  Provide enough digits for the 128-bit IEEE quad.  */
 393 #ifdef __USE_GNU
 394 # define M_El           2.7182818284590452353602874713526625L  /* e */
 395 # define M_LOG2El       1.4426950408889634073599246810018921L  /* log_2 e */
 396 # define M_LOG10El      0.4342944819032518276511289189166051L  /* log_10 e */
 397 # define M_LN2l         0.6931471805599453094172321214581766L  /* log_e 2 */
 398 # define M_LN10l        2.3025850929940456840179914546843642L  /* log_e 10 */
 399 # define M_PIl          3.1415926535897932384626433832795029L  /* pi */
 400 # define M_PI_2l        1.5707963267948966192313216916397514L  /* pi/2 */
 401 # define M_PI_4l        0.7853981633974483096156608458198757L  /* pi/4 */
 402 # define M_1_PIl        0.3183098861837906715377675267450287L  /* 1/pi */
 403 # define M_2_PIl        0.6366197723675813430755350534900574L  /* 2/pi */
 404 # define M_2_SQRTPIl    1.1283791670955125738961589031215452L  /* 2/sqrt(pi) */
 405 # define M_SQRT2l       1.4142135623730950488016887242096981L  /* sqrt(2) */
 406 # define M_SQRT1_2l     0.7071067811865475244008443621048490L  /* 1/sqrt(2) */
 407 #endif
 408
 409
 410 /* When compiling in strict ISO C compatible mode we must not use the
 411    inline functions since they, among other things, do not set the
 412    `errno' variable correctly.  */
 413 #if defined __STRICT_ANSI__ && !defined __NO_MATH_INLINES
 414 # define __NO_MATH_INLINES      1
 415 #endif
 416
 417 #if defined __USE_ISOC99 && __GNUC_PREREQ(2,97)
 418 /* ISO C99 defines some macros to compare number while taking care for
 419    unordered numbers.  Many FPUs provide special instructions to support
 420    these operations.  Generic support in GCC for these as builtins went
 421    in before 3.0.0, but not all cpus added their patterns.  We define
 422    versions that use the builtins here, and <bits/mathinline.h> will
 423    undef/redefine as appropriate for the specific GCC version in use.  */
 424 # define isgreater(x, y)        __builtin_isgreater(x, y)
 425 # define isgreaterequal(x, y)   __builtin_isgreaterequal(x, y)
 426 # define isless(x, y)           __builtin_isless(x, y)
 427 # define islessequal(x, y)      __builtin_islessequal(x, y)
 428 # define islessgreater(x, y)    __builtin_islessgreater(x, y)
 429 # define isunordered(u, v)      __builtin_isunordered(u, v)
 430 #endif
 431
 432 /* Get machine-dependent inline versions (if there are any).  */
 433 #ifdef __USE_EXTERN_INLINES
 434 # include <bits/mathinline.h>
 435 #endif
 436
 437 #ifdef __USE_ISOC99
 438 /* If we've still got undefined comparison macros, provide defaults.  */
 439
 440 /* Return nonzero value if X is greater than Y.  */
 441 # ifndef isgreater
 442 #  define isgreater(x, y) \
 443   (__extension__                                                              \
 444    ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y);                       \
 445       !isunordered (__x, __y) && __x > __y; }))
 446 # endif
 447
 448 /* Return nonzero value if X is greater than or equal to Y.  */
 449 # ifndef isgreaterequal
 450 #  define isgreaterequal(x, y) \
 451   (__extension__                                                              \
 452    ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y);                       \
 453       !isunordered (__x, __y) && __x >= __y; }))
 454 # endif
 455
 456 /* Return nonzero value if X is less than Y.  */
 457 # ifndef isless
 458 #  define isless(x, y) \
 459   (__extension__                                                              \
 460    ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y);                       \
 461       !isunordered (__x, __y) && __x < __y; }))
 462 # endif
 463
 464 /* Return nonzero value if X is less than or equal to Y.  */
 465 # ifndef islessequal
 466 #  define islessequal(x, y) \
 467   (__extension__                                                              \
 468    ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y);                       \
 469       !isunordered (__x, __y) && __x <= __y; }))
 470 # endif
 471
 472 /* Return nonzero value if either X is less than Y or Y is less than X.  */
 473 # ifndef islessgreater
 474 #  define islessgreater(x, y) \
 475   (__extension__                                                              \
 476    ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y);                       \
 477       !isunordered (__x, __y) && (__x < __y || __y < __x); }))
 478 # endif
 479
 480 /* Return nonzero value if arguments are unordered.  */
 481 # ifndef isunordered
 482 #  define isunordered(u, v) \
 483   (__extension__                                                              \
 484    ({ __typeof__(u) __u = (u); __typeof__(v) __v = (v);                       \
 485       fpclassify (__u) == FP_NAN || fpclassify (__v) == FP_NAN; }))
 486 # endif
 487
 488 #endif
 489
 490 __END_DECLS
 491
 492
 493 #endif /* math.h  */