math/math.h

   1 /* Copyright (C) 1991, 1992, 1993, 1995 Free Software Foundation, Inc.
   2 This file is part of the GNU C Library.
   3
   4 The GNU C Library is free software; you can redistribute it and/or
   5 modify it under the terms of the GNU Library General Public License as
   6 published by the Free Software Foundation; either version 2 of the
   7 License, or (at your option) any later version.
   8
   9 The GNU C Library is distributed in the hope that it will be useful,
  10 but WITHOUT ANY WARRANTY; without even the implied warranty of
  11 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  12 Library General Public License for more details.
  13
  14 You should have received a copy of the GNU Library General Public
  15 License along with the GNU C Library; see the file COPYING.LIB.  If
  16 not, write to the, 1992 Free Software Foundation, Inc., 675 Mass Ave,
  17 Cambridge, MA 02139, USA.  */
  18
  19 /*
  20  *      ANSI Standard: 4.5 MATHEMATICS  <math.h>
  21  */
  22
  23 #ifndef _MATH_H
  24
  25 #define _MATH_H 1
  26 #include <features.h>
  27
  28 __BEGIN_DECLS
  29
  30 #define __need_Emath
  31 #include <errno.h>
  32
  33 /* Get machine-dependent HUGE_VAL value (returned on overflow).  */
  34 #include <huge_val.h>
  35
  36 /* Get machine-dependent NAN value (returned for some domain errors).  */
  37 #ifdef   __USE_GNU
  38 #include <nan.h>
  39 #endif
  40
  41
  42 /* Trigonometric functions.  */
  43
  44 /* Arc cosine of X.  */
  45 extern double acos __P ((double __x)) __attribute__ ((__const__));
  46 /* Arc sine of X.  */
  47 extern double asin __P ((double __x)) __attribute__ ((__const__));
  48 /* Arc tangent of X.  */
  49 extern double atan __P ((double __x)) __attribute__ ((__const__));
  50 /* Arc tangent of Y/X.  */
  51 extern double atan2 __P ((double __y, double __x)) __attribute__ ((__const__));
  52
  53 /* Cosine of X.  */
  54 extern double cos __P ((double __x)) __attribute__ ((__const__));
  55 /* Sine of X.  */
  56 extern double sin __P ((double __x)) __attribute__ ((__const__));
  57 /* Tangent of X.  */
  58 extern double tan __P ((double __x)) __attribute__ ((__const__));
  59
  60
  61 /* Hyperbolic functions.  */
  62
  63 /* Hyperbolic cosine of X.  */
  64 extern double cosh __P ((double __x)) __attribute__ ((__const__));
  65 /* Hyperbolic sine of X.  */
  66 extern double sinh __P ((double __x)) __attribute__ ((__const__));
  67 /* Hyperbolic tangent of X.  */
  68 extern double tanh __P ((double __x)) __attribute__ ((__const__));
  69
  70 #ifdef  __USE_MISC
  71 /* Hyperbolic arc cosine of X.  */
  72 extern double acosh __P ((double __x)) __attribute__ ((__const__));
  73 /* Hyperbolic arc sine of X.  */
  74 extern double asinh __P ((double __x)) __attribute__ ((__const__));
  75 /* Hyperbolic arc tangent of X.  */
  76 extern double atanh __P ((double __x)) __attribute__ ((__const__));
  77 #endif
  78
  79 /* Exponential and logarithmic functions.  */
  80
  81 /* Exponentional function of X.  */
  82 extern double exp __P ((double __x)) __attribute__ ((__const__));
  83
  84 /* Break VALUE into a normalized fraction and an integral power of 2.  */
  85 extern double frexp __P ((double __value, int *__exp));
  86
  87 /* X times (two to the EXP power).  */
  88 extern double ldexp __P ((double __x, int __exp)) __attribute__ ((__const__));
  89
  90 /* Natural logarithm of X.  */
  91 extern double log __P ((double __x)) __attribute__ ((__const__));
  92
  93 /* Base-ten logarithm of X.  */
  94 extern double log10 __P ((double __x)) __attribute__ ((__const__));
  95
  96 #ifdef  __USE_MISC
  97 /* Return exp(X) - 1.  */
  98 extern double __expm1 __P ((double __x)) __attribute__ ((__const__));
  99 extern double expm1 __P ((double __x)) __attribute__ ((__const__));
 100
 101 /* Return log(1 + X).  */
 102 extern double log1p __P ((double __x)) __attribute__ ((__const__));
 103 #endif
 104
 105 /* Break VALUE into integral and fractional parts.  */
 106 extern double modf __P ((double __value, double *__iptr));
 107
 108
 109 /* Power functions.  */
 110
 111 /* Return X to the Y power.  */
 112 extern double pow __P ((double __x, double __y)) __attribute__ ((__const__));
 113
 114 /* Return the square root of X.  */
 115 extern double sqrt __P ((double __x)) __attribute__ ((__const__));
 116
 117 #ifdef  __USE_MISC
 118 /* Return the cube root of X.  */
 119 extern double cbrt __P ((double __x)) __attribute__ ((__const__));
 120 #endif
 121
 122
 123 /* Nearest integer, absolute value, and remainder functions.  */
 124
 125 /* Smallest integral value not less than X.  */
 126 extern double ceil __P ((double __x)) __attribute__ ((__const__));
 127
 128 /* Absolute value of X.  */
 129 extern double fabs __P ((double __x)) __attribute__ ((__const__));
 130
 131 /* Largest integer not greater than X.  */
 132 extern double floor __P ((double __x)) __attribute__ ((__const__));
 133
 134 /* Floating-point modulo remainder of X/Y.  */
 135 extern double fmod __P ((double __x, double __y)) __attribute__ ((__const__));
 136
 137
 138 /* Return 0 if VALUE is finite or NaN, +1 if it
 139    is +Infinity, -1 if it is -Infinity.  */
 140 extern int __isinf __P ((double __value)) __attribute__ ((__const__));
 141
 142 /* Return nonzero if VALUE is not a number.  */
 143 extern int __isnan __P ((double __value)) __attribute__ ((__const__));
 144
 145 /* Return nonzero if VALUE is finite and not NaN.  */
 146 extern int __finite __P ((double __value)) __attribute__ ((__const__));
 147 #ifdef  __OPTIMIZE__
 148 #define __finite(value) (!__isinf(value))
 149 #endif
 150
 151 /* Deal with an infinite or NaN result.
 152    If ERROR is ERANGE, result is +Inf;
 153    if ERROR is - ERANGE, result is -Inf;
 154    otherwise result is NaN.
 155    This will set `errno' to either ERANGE or EDOM,
 156    and may return an infinity or NaN, or may do something else.  */
 157 extern double __infnan __P ((int __error));
 158
 159 /* Return X with its signed changed to Y's.  */
 160 extern double __copysign __P ((double __x, double __y))
 161      __attribute__ ((__const__));
 162
 163 /* Return X times (2 to the Nth power).  */
 164 extern double __scalb __P ((double __x, int __n))
 165      __attribute__ ((__const__));
 166
 167 #ifdef  __OPTIMIZE__
 168 #define __scalb(x, n)   ldexp ((x), (n))
 169 #endif
 170
 171 /* Return the remainder of X/Y.  */
 172 extern double __drem __P ((double __x, double __y))
 173      __attribute__ ((__const__));
 174
 175 /* Return the base 2 signed integral exponent of X.  */
 176 extern double __logb __P ((double __x)) __attribute__ ((__const__));
 177
 178 #ifdef  __USE_MISC
 179
 180 /* Return the integer nearest X in the direction of the
 181    prevailing rounding mode.  */
 182 extern double __rint __P ((double __x)) __attribute__ ((__const__));
 183 extern double rint __P ((double __x)) __attribute__ ((__const__));
 184
 185 /* Return `sqrt(X*X + Y*Y)'.  */
 186 extern double hypot __P ((double __x, double __y)) __attribute__ ((__const__));
 187
 188 struct __cabs_complex
 189 {
 190   double __x, __y;
 191 };
 192
 193 /* Return `sqrt(X*X + Y*Y)'.  */
 194 extern double cabs __P ((struct __cabs_complex)) __attribute__ ((__const__));
 195
 196 extern int isinf __P ((double __value)) __attribute__ ((__const__));
 197 extern int isnan __P ((double __value)) __attribute__ ((__const__));
 198 extern int finite __P ((double __value)) __attribute__ ((__const__));
 199 extern double infnan __P ((int __error)) __attribute__ ((__const__));
 200 extern double copysign __P ((double __x, double __y))
 201      __attribute__ ((__const__));
 202 extern double scalb __P ((double __x, int __n)) __attribute__ ((__const__));
 203 extern double drem __P ((double __x, double __y)) __attribute__ ((__const__));
 204 extern double logb __P ((double __x)) __attribute__ ((__const__));
 205
 206 #ifdef  __OPTIMIZE__
 207 #define isinf(value)    __isinf(value)
 208 #define isnan(value)    __isnan(value)
 209 #define infnan(error)   __infnan(error)
 210 #define finite(value)   __finite(value)
 211 #define copysign(x, y)  __copysign((x), (y))
 212 #define scalb(x, n)     __scalb((x), (n))
 213 #define drem(x, y)      __drem((x), (y))
 214 #define logb(x)         __logb(x)
 215 #endif /* Optimizing.  */
 216
 217 #endif /* Use misc.  */
 218
 219
 220 #if 0
 221 /* The "Future Library Directions" section of the
 222    ANSI Standard reserves these as `float' and
 223    `long double' versions of the above functions.  */
 224
 225 extern float acosf __P ((float __x)) __attribute__ ((__const__));
 226 extern float asinf __P ((float __x)) __attribute__ ((__const__));
 227 extern float atanf __P ((float __x)) __attribute__ ((__const__));
 228 extern float atan2f __P ((float __y, float __x)) __attribute__ ((__const__));
 229 extern float cosf __P ((float __x)) __attribute__ ((__const__));
 230 extern float sinf __P ((float __x)) __attribute__ ((__const__));
 231 extern float tanf __P ((float __x)) __attribute__ ((__const__));
 232 extern float coshf __P ((float __x)) __attribute__ ((__const__));
 233 extern float sinhf __P ((float __x)) __attribute__ ((__const__));
 234 extern float tanhf __P ((float __x)) __attribute__ ((__const__));
 235 extern float expf __P ((float __x)) __attribute__ ((__const__));
 236 extern float frexpf __P ((float __value, int *__exp));
 237 extern float ldexpf __P ((float __x, int __exp)) __attribute__ ((__const__));
 238 extern float logf __P ((float __x)) __attribute__ ((__const__));
 239 extern float log10f __P ((float __x)) __attribute__ ((__const__));
 240 extern float modff __P ((float __value, float *__iptr));
 241 extern float powf __P ((float __x, float __y)) __attribute__ ((__const__));
 242 extern float sqrtf __P ((float __x)) __attribute__ ((__const__));
 243 extern float ceilf __P ((float __x)) __attribute__ ((__const__));
 244 extern float fabsf __P ((float __x)) __attribute__ ((__const__));
 245 extern float floorf __P ((float __x)) __attribute__ ((__const__));
 246 extern float fmodf __P ((float __x, float __y)) __attribute__ ((__const__));
 247
 248 extern __long_double_t acosl __P ((__long_double_t __x))
 249      __attribute__ ((__const__));
 250 extern __long_double_t asinl __P ((__long_double_t __x))
 251      __attribute__ ((__const__));
 252 extern __long_double_t atanl __P ((__long_double_t __x))
 253      __attribute__ ((__const__));
 254 extern __long_double_t atan2l __P ((__long_double_t __y, __long_double_t __x))
 255      __attribute__ ((__const__));
 256 extern __long_double_t cosl __P ((__long_double_t __x))
 257      __attribute__ ((__const__));
 258 extern __long_double_t sinl __P ((__long_double_t __x))
 259      __attribute__ ((__const__));
 260 extern __long_double_t tanl __P ((__long_double_t __x))
 261      __attribute__ ((__const__));
 262 extern __long_double_t coshl __P ((__long_double_t __x))
 263      __attribute__ ((__const__));
 264 extern __long_double_t sinhl __P ((__long_double_t __x))
 265      __attribute__ ((__const__));
 266 extern __long_double_t tanhl __P ((__long_double_t __x))
 267      __attribute__ ((__const__));
 268 extern __long_double_t expl __P ((__long_double_t __x))
 269      __attribute__ ((__const__));
 270 extern __long_double_t frexpl __P ((__long_double_t __value, int *__exp));
 271 extern __long_double_t ldexpl __P ((__long_double_t __x, int __exp))
 272      __attribute__ ((__const__));
 273 extern __long_double_t logl __P ((__long_double_t __x))
 274      __attribute__ ((__const__));
 275 extern __long_double_t log10l __P ((__long_double_t __x))
 276      __attribute__ ((__const__));
 277 extern __long_double_t modfl __P ((__long_double_t __value,
 278                                    __long_double_t *__ip));
 279 extern __long_double_t powl __P ((__long_double_t __x, __long_double_t __y))
 280      __attribute__ ((__const__));
 281 extern __long_double_t sqrtl __P ((__long_double_t __x))
 282      __attribute__ ((__const__));
 283 extern __long_double_t ceill __P ((__long_double_t __x))
 284      __attribute__ ((__const__));
 285 extern __long_double_t fabsl __P ((__long_double_t __x))
 286      __attribute__ ((__const__));
 287 extern __long_double_t floorl __P ((__long_double_t __x))
 288      __attribute__ ((__const__));
 289 extern __long_double_t fmodl __P ((__long_double_t __x, __long_double_t __y))
 290      __attribute__ ((__const__));
 291 #endif /* 0 */
 292
 293 /* Get machine-dependent inline versions (if there are any).  */
 294 #include <__math.h>
 295
 296 __END_DECLS
 297
 298
 299 #ifdef __USE_BSD
 300 /* Some useful constants.  */
 301 #define M_E             2.7182818284590452354   /* e */
 302 #define M_LOG2E         1.4426950408889634074   /* log 2e */
 303 #define M_LOG10E        0.43429448190325182765  /* log 10e */
 304 #define M_LN2           0.69314718055994530942  /* log e2 */
 305 #define M_LN10          2.30258509299404568402  /* log e10 */
 306 #define M_PI            3.14159265358979323846  /* pi */
 307 #define M_PI_2          1.57079632679489661923  /* pi/2 */
 308 #define M_PI_4          0.78539816339744830962  /* pi/4 */
 309 #define M_1_PI          0.31830988618379067154  /* 1/pi */
 310 #define M_2_PI          0.63661977236758134308  /* 2/pi */
 311 #define M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
 312 #define M_SQRT2         1.41421356237309504880  /* sqrt(2) */
 313 #define M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */
 314 #endif
 315
 316
 317 #endif /* math.h  */