math/math.h

   1 /* Declarations for math functions.
   2 Copyright (C) 1991, 92, 93, 95, 96 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
  17 not, write to the Free Software Foundation, Inc., 675 Mass Ave,
  18 Cambridge, MA 02139, USA.  */
  19
  20 /*
  21  *      ANSI 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 #define __need_Emath
  32 #include <errno.h>
  33
  34 /* Get machine-dependent HUGE_VAL value (returned on overflow).
  35    On all IEEE754 machines, this is +Infinity.  */
  36 #include <huge_val.h>
  37
  38 /* Get machine-dependent NAN value (returned for some domain errors).  */
  39 #ifdef   __USE_GNU
  40 #include <nan.h>
  41 #endif
  42
  43
  44 /* The file <mathcalls.h> contains the prototypes for all the actual
  45    math functions.  These macros are used for those prototypes, so
  46    we can easily declare each function as both `name' and `__name',
  47    and can declare the float versions `namef' and `__namef'.  */
  48
  49 #define __MATHCALL(function,suffix, args)       \
  50   __MATHDECL (_Mdouble_, function,suffix, args)
  51 #define __MATHDECL(type, function,suffix, args) \
  52   __MATHDECL_1(type, function,suffix, args); \
  53   __MATHDECL_1(type, __##function,suffix, args)
  54 #define __MATHDECL_1(type, function,suffix, args) \
  55   extern type __MATH_PRECNAME(function,suffix) args
  56
  57 #define _Mdouble_               double
  58 #define __MATH_PRECNAME(name,r) name##r
  59 #include <mathcalls.h>
  60 #undef  _Mdouble_
  61 #undef  __MATH_PRECNAME
  62
  63 #ifdef __USE_MISC
  64
  65
  66 /* Include the file of declarations again, this time using `float'
  67    instead of `double' and appending f to each function name.  */
  68
  69 #ifndef _Mfloat_
  70 #define _Mfloat_                float
  71 #endif
  72 #define _Mdouble_               _Mfloat_
  73 #define __MATH_PRECNAME(name,r) name##f##r
  74 #include <mathcalls.h>
  75 #undef  _Mdouble_
  76 #undef  __MATH_PRECNAME
  77
  78 /* Include the file of declarations again, this time using `long double'
  79    instead of `double' and appending l to each function name.  */
  80
  81 #ifndef _Mlong_double_
  82 #define _Mlong_double_          long double
  83 #endif
  84 #define _Mdouble_               _Mlong_double_
  85 #define __MATH_PRECNAME(name,r) name##l##r
  86 #include <mathcalls.h>
  87 #undef  _Mdouble_
  88 #undef  __MATH_PRECNAME
  89
  90 #endif  /* Use misc.  */
  91
  92
  93 #ifdef  __USE_MISC
  94 /* Support for various different standard error handling behaviors.  */
  95
  96 typedef enum { _IEEE_ = -1, _SVID_, _XOPEN_, _POSIX_ } _LIB_VERSION_TYPE;
  97
  98 /* This variable can be changed at run-time to any of the values above to
  99    affect floating point error handling behavior (it may also be necessary
 100    to change the hardware FPU exception settings).  */
 101 extern _LIB_VERSION_TYPE _LIB_VERSION;
 102 #endif
 103
 104
 105 #ifdef __USE_SVID
 106 /* In SVID error handling, `matherr' is called with this description
 107    of the exceptional condition.  */
 108 struct exception
 109   {
 110     int type;
 111     char *name;
 112     double arg1;
 113     double arg2;
 114     double retval;
 115   };
 116
 117 extern int matherr __P ((struct exception *));
 118
 119 #define X_TLOSS         1.41484755040568800000e+16
 120
 121 /* Types of exceptions in the `type' field.  */
 122 #define DOMAIN          1
 123 #define SING            2
 124 #define OVERFLOW        3
 125 #define UNDERFLOW       4
 126 #define TLOSS           5
 127 #define PLOSS           6
 128
 129 /* SVID mode specifies returning this large value instead of infinity.  */
 130 #define HUGE            FLT_MAX
 131 #include <float.h>              /* Defines FLT_MAX.  */
 132
 133 #endif
 134
 135
 136 #ifdef __USE_BSD
 137
 138 /* Some useful constants.  */
 139 #define M_E             _Mldbl(2.7182818284590452354)   /* e */
 140 #define M_LOG2E         _Mldbl(1.4426950408889634074)   /* log 2e */
 141 #define M_LOG10E        _Mldbl(0.43429448190325182765)  /* log 10e */
 142 #define M_LN2           _Mldbl(0.69314718055994530942)  /* log e2 */
 143 #define M_LN10          _Mldbl(2.30258509299404568402)  /* log e10 */
 144 #define M_PI            _Mldbl(3.14159265358979323846)  /* pi */
 145 #define M_PI_2          _Mldbl(1.57079632679489661923)  /* pi/2 */
 146 #define M_PI_4          _Mldbl(0.78539816339744830962)  /* pi/4 */
 147 #define M_1_PI          _Mldbl(0.31830988618379067154)  /* 1/pi */
 148 #define M_2_PI          _Mldbl(0.63661977236758134308)  /* 2/pi */
 149 #define M_2_SQRTPI      _Mldbl(1.12837916709551257390)  /* 2/sqrt(pi) */
 150 #define M_SQRT2         _Mldbl(1.41421356237309504880)  /* sqrt(2) */
 151 #define M_SQRT1_2       _Mldbl(0.70710678118654752440)  /* 1/sqrt(2) */
 152
 153 /* Our constants might specify more precision than `double' can represent.
 154    Use `long double' constants in standard and GNU C, where they are
 155    supported and the cast to `double'.  */
 156 #if __STDC__ - 0 || __GNUC__ - 0
 157 #define _Mldbl(x) x##L
 158 #else   /* Traditional C.  */
 159 #define _Mldbl(x) x
 160 #endif  /* Standard or GNU C.  */
 161
 162 #endif
 163
 164
 165 /* Get machine-dependent inline versions (if there are any).  */
 166 #if defined (__NO_MATH_INLINES) || defined (__OPTIMIZE__)
 167 #include <__math.h>
 168 #endif
 169
 170
 171 __END_DECLS
 172
 173
 174 #endif /* math.h  */