math/math.h

   1 /* Declarations for math functions.
   2    Copyright (C) 1991, 92, 93, 95, 96, 97 Free Software Foundation, Inc.
   3    This file is part of the GNU C Library.
   4
   5    The GNU C Library is free software; you can redistribute it and/or
   6    modify it under the terms of the GNU Library General Public License as
   7    published by the Free Software Foundation; either version 2 of the
   8    License, or (at your option) any later version.
   9
  10    The GNU C Library is distributed in the hope that it will be useful,
  11    but WITHOUT ANY WARRANTY; without even the implied warranty of
  12    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  13    Library General Public License for more details.
  14
  15    You should have received a copy of the GNU Library General Public
  16    License along with the GNU C Library; see the file COPYING.LIB.  If not,
  17    write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
  18    Boston, MA 02111-1307, USA.  */
  19
  20 /*
  21  *      ISO C Standard: 4.5 MATHEMATICS <math.h>
  22  */
  23
  24 #ifndef _MATH_H
  25
  26 #define _MATH_H 1
  27 #include <features.h>
  28
  29 __BEGIN_DECLS
  30
  31 /* Get machine-dependent HUGE_VAL value (returned on overflow).
  32    On all IEEE754 machines, this is +Infinity.  */
  33 #include <huge_val.h>
  34
  35 /* Get machine-dependent NAN value (returned for some domain errors).  */
  36 #ifdef   __USE_GNU
  37 #include <nan.h>
  38 #endif
  39
  40
  41 /* The file <mathcalls.h> contains the prototypes for all the actual
  42    math functions.  These macros are used for those prototypes, so
  43    we can easily declare each function as both `name' and `__name',
  44    and can declare the float versions `namef' and `__namef'.  */
  45
  46 #define __MATHCALL(function,suffix, args)       \
  47   __MATHDECL (_Mdouble_,function,suffix, args)
  48 #define __MATHDECL(type, function,suffix, args) \
  49   __MATHDECL_1(type, function,suffix, args); \
  50   __MATHDECL_1(type, __CONCAT(__,function),suffix, args)
  51 #define __MATHCALLX(function,suffix, args, attrib)      \
  52   __MATHDECLX (_Mdouble_,function,suffix, args, attrib)
  53 #define __MATHDECLX(type, function,suffix, args, attrib) \
  54   __MATHDECL_1(type, function,suffix, args) __attribute__ (attrib); \
  55   __MATHDECL_1(type, __CONCAT(__,function),suffix, args) __attribute__ (attrib)
  56 #define __MATHDECL_1(type, function,suffix, args) \
  57   extern type __MATH_PRECNAME(function,suffix) args
  58
  59 #define _Mdouble_               double
  60 #define __MATH_PRECNAME(name,r) __CONCAT(name,r)
  61 #include <mathcalls.h>
  62 #undef  _Mdouble_
  63 #undef  __MATH_PRECNAME
  64
  65 #if defined __USE_MISC || defined __USE_ISOC9X
  66
  67
  68 /* Include the file of declarations again, this time using `float'
  69    instead of `double' and appending f to each function name.  */
  70
  71 #ifndef _Mfloat_
  72 #define _Mfloat_                float
  73 #endif
  74 #define _Mdouble_               _Mfloat_
  75 #ifdef __STDC__
  76 #define __MATH_PRECNAME(name,r) name##f##r
  77 #else
  78 #define __MATH_PRECNAME(name,r) name/**/f/**/r
  79 #endif
  80 #include <mathcalls.h>
  81 #undef  _Mdouble_
  82 #undef  __MATH_PRECNAME
  83
  84 #if __STDC__ - 0 || __GNUC__ - 0
  85 /* Include the file of declarations again, this time using `long double'
  86    instead of `double' and appending l to each function name.  */
  87
  88 #ifndef _Mlong_double_
  89 #define _Mlong_double_          long double
  90 #endif
  91 #define _Mdouble_               _Mlong_double_
  92 #ifdef __STDC__
  93 #define __MATH_PRECNAME(name,r) name##l##r
  94 #else
  95 #define __MATH_PRECNAME(name,r) name/**/l/**/r
  96 #endif
  97 #include <mathcalls.h>
  98 #undef  _Mdouble_
  99 #undef  __MATH_PRECNAME
 100
 101 #endif /* __STDC__ || __GNUC__ */
 102
 103 #endif  /* Use misc or ISO C 9X.  */
 104 #undef  __MATHDECL_1
 105 #undef  __MATHDECL
 106 #undef  __MATHCALL
 107
 108
 109 #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC9X
 110 /* This variable is used by `gamma' and `lgamma'.  */
 111 extern int signgam;
 112 #endif
 113
 114
 115 /* ISO C 9X defines some generic macros which work on any data type.  */
 116 #if __USE_ISOC9X
 117
 118 /* All floating-point numbers can be put in one of these categories.  */
 119 enum
 120   {
 121     FP_NAN,
 122 #define FP_NAN FP_NAN
 123     FP_INFINITE,
 124 #define FP_INFINITE FP_INFINITE
 125     FP_ZERO,
 126 #define FP_ZERO FP_ZERO
 127     FP_SUBNORMAL,
 128 #define FP_SUBNORMAL FP_SUBNORMAL
 129     FP_NORMAL
 130 #define FP_NORMAL FP_NORMAL
 131   };
 132
 133 /* Return number of classification appropriate for X.  */
 134 #define fpclassify(x) \
 135      (sizeof (x) == sizeof (float) ?                                          \
 136         __fpclassifyf (x)                                                             \
 137       : sizeof (x) == sizeof (double) ?                                       \
 138         __fpclassify (x) : __fpclassifyl (x))
 139
 140 /* Return nonzero value if sign of X is negative.  */
 141 #define signbit(x) \
 142      (sizeof (x) == sizeof (float) ?                                          \
 143         __signbitf (x)                                                        \
 144       : sizeof (x) == sizeof (double) ?                                       \
 145         __signbit (x) : __signbitl (x))
 146
 147 /* Return nonzero value if X is not +-Inf or NaN.  */
 148 #define isfinite(x) (fpclassify (x) >= FP_ZERO)
 149
 150 /* Return nonzero value if X is neither zero, subnormal, Inf, nor NaN.  */
 151 #define isnormal(x) (fpclassify (x) == FP_NORMAL)
 152
 153 /* Return nonzero value if X is a NaN.  We could use `fpclassify' but
 154    we already have this functions `__isnan' and it is faster.  */
 155 #define isnan(x) \
 156      (sizeof (x) == sizeof (float) ?                                          \
 157         __isnanf (x)                                                          \
 158       : sizeof (x) == sizeof (double) ?                                       \
 159         __isnan (x) : __isnanl (x))
 160
 161
 162 /* Conversion functions.  */
 163
 164 /* Round X to nearest integral value according to current rounding
 165    direction.  */
 166 extern long int rinttol __P ((long double __x));
 167 extern long long int rinttoll __P ((long double __x));
 168
 169 /* Round X to nearest integral value, rounding halfway cases away from
 170    zero.  */
 171 extern long int roundtol __P ((long double __x));
 172 extern long long int roundtoll __P ((long double __x));
 173
 174
 175 /* Comparison macros.  */
 176
 177 /* Return nonzero value if X is greater than Y.  */
 178 #define isgreater(x, y) (!isunordered ((x), (y)) && (x) > (y))
 179
 180 /* Return nonzero value if X is greater than or equal to Y.  */
 181 #define isgreaterequal(x, y) (!isunordered ((x), (y)) && (x) >= (y))
 182
 183 /* Return nonzero value if X is less than Y.  */
 184 #define isless(x, y) (!isunordered ((x), (y)) && (x) < (y))
 185
 186 /* Return nonzero value if X is less than or equal to Y.  */
 187 #define islessequal(x, y) (!isunordered ((x), (y)) && (x) <= (y))
 188
 189 /* Return nonzero value if either X is less than Y or Y is less than X.  */
 190 #define islessgreater(x, y) \
 191      (!isunordered ((x), (y)) && ((x) < (y) || (y) < (x)))
 192
 193 /* Return nonzero value if arguments are unordered.  */
 194 #define isunordered(x, y) \
 195      (fpclassify (x) == FP_NAN || fpclassify (y) == FP_NAN)
 196
 197 #endif /* Use ISO C 9X.  */
 198
 199 #ifdef  __USE_MISC
 200 /* Support for various different standard error handling behaviors.  */
 201
 202 typedef enum { _IEEE_ = -1, _SVID_, _XOPEN_, _POSIX_ } _LIB_VERSION_TYPE;
 203
 204 /* This variable can be changed at run-time to any of the values above to
 205    affect floating point error handling behavior (it may also be necessary
 206    to change the hardware FPU exception settings).  */
 207 extern _LIB_VERSION_TYPE _LIB_VERSION;
 208 #endif
 209
 210
 211 #ifdef __USE_SVID
 212 /* In SVID error handling, `matherr' is called with this description
 213    of the exceptional condition.
 214
 215    We have a problem when using C++ since `exception' is reserved in
 216    C++.  */
 217 #ifdef __cplusplus
 218 struct __exception
 219 #else
 220 struct exception
 221 #endif
 222   {
 223     int type;
 224     char *name;
 225     double arg1;
 226     double arg2;
 227     double retval;
 228   };
 229
 230 #ifdef __cplusplus
 231 extern int __matherr __P ((struct __exception *));
 232 extern int matherr __P ((struct __exception *));
 233 #else
 234 extern int __matherr __P ((struct exception *));
 235 extern int matherr __P ((struct exception *));
 236 #endif
 237
 238 #define X_TLOSS         1.41484755040568800000e+16
 239
 240 /* Types of exceptions in the `type' field.  */
 241 #define DOMAIN          1
 242 #define SING            2
 243 #define OVERFLOW        3
 244 #define UNDERFLOW       4
 245 #define TLOSS           5
 246 #define PLOSS           6
 247
 248 /* SVID mode specifies returning this large value instead of infinity.  */
 249 #define HUGE            FLT_MAX
 250 #include <float.h>              /* Defines FLT_MAX.  */
 251
 252 #else   /* !SVID */
 253
 254 #ifdef __USE_XOPEN
 255 /* X/Open wants another strange constant.  */
 256 #define MAXFLOAT        FLT_MAX
 257 #include <float.h>
 258 #endif
 259
 260 #endif  /* SVID */
 261
 262
 263 #ifdef __USE_BSD
 264
 265 /* Some useful constants.  */
 266 #define M_E             _Mldbl(2.7182818284590452354)   /* e */
 267 #define M_LOG2E         _Mldbl(1.4426950408889634074)   /* log 2e */
 268 #define M_LOG10E        _Mldbl(0.43429448190325182765)  /* log 10e */
 269 #define M_LN2           _Mldbl(0.69314718055994530942)  /* log e2 */
 270 #define M_LN10          _Mldbl(2.30258509299404568402)  /* log e10 */
 271 #define M_PI            _Mldbl(3.14159265358979323846)  /* pi */
 272 #define M_PI_2          _Mldbl(1.57079632679489661923)  /* pi/2 */
 273 #define M_PI_4          _Mldbl(0.78539816339744830962)  /* pi/4 */
 274 #define M_1_PI          _Mldbl(0.31830988618379067154)  /* 1/pi */
 275 #define M_2_PI          _Mldbl(0.63661977236758134308)  /* 2/pi */
 276 #define M_2_SQRTPI      _Mldbl(1.12837916709551257390)  /* 2/sqrt(pi) */
 277 #define M_SQRT2         _Mldbl(1.41421356237309504880)  /* sqrt(2) */
 278 #define M_SQRT1_2       _Mldbl(0.70710678118654752440)  /* 1/sqrt(2) */
 279
 280 /* Our constants might specify more precision than `double' can represent.
 281    Use `long double' constants in standard and GNU C, where they are
 282    supported and the cast to `double'.  */
 283 #if __STDC__ - 0 || __GNUC__ - 0
 284 #define _Mldbl(x) x##L
 285 #else   /* Traditional C.  */
 286 #define _Mldbl(x) x
 287 #endif  /* Standard or GNU C.  */
 288
 289 #endif
 290
 291
 292 /* Get machine-dependent inline versions (if there are any).  */
 293 #if (!defined __NO_MATH_INLINES && defined __OPTIMIZE__) \
 294     || defined __LIBC_M81_MATH_INLINES
 295 #include <__math.h>
 296 #endif
 297
 298
 299 __END_DECLS
 300
 301
 302 #endif /* math.h  */