math/math.h

   1 /* Copyright (C) 1991, 1992 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 #ifndef __CONSTVALUE
  43 #ifdef  __GNUC__
  44 /* The `const' keyword tells GCC that a function's return value is
  45    based solely on its arguments, and there are no side-effects.  */
  46 #define __CONSTVALUE    __const
  47 #else
  48 #define __CONSTVALUE
  49 #endif /* GCC.  */
  50 #endif /* __CONSTVALUE not defined.  */
  51
  52
  53 /* Trigonometric functions.  */
  54
  55 /* Arc cosine of X.  */
  56 extern __CONSTVALUE double acos __P ((double __x));
  57 /* Arc sine of X.  */
  58 extern __CONSTVALUE double asin __P ((double __x));
  59 /* Arc tangent of X.  */
  60 extern __CONSTVALUE double atan __P ((double __x));
  61 /* Arc tangent of Y/X.  */
  62 extern __CONSTVALUE double atan2 __P ((double __y, double __x));
  63
  64 /* Cosine of X.  */
  65 extern __CONSTVALUE double cos __P ((double __x));
  66 /* Sine of X.  */
  67 extern __CONSTVALUE double sin __P ((double __x));
  68 /* Tangent of X.  */
  69 extern __CONSTVALUE double tan __P ((double __x));
  70
  71
  72 /* Hyperbolic functions.  */
  73
  74 /* Hyperbolic cosine of X.  */
  75 extern __CONSTVALUE double cosh __P ((double __x));
  76 /* Hyperbolic sine of X.  */
  77 extern __CONSTVALUE double sinh __P ((double __x));
  78 /* Hyperbolic tangent of X.  */
  79 extern __CONSTVALUE double tanh __P ((double __x));
  80
  81 #ifdef  __USE_MISC
  82 /* Hyperbolic arc cosine of X.  */
  83 extern __CONSTVALUE double acosh __P ((double __x));
  84 /* Hyperbolic arc sine of X.  */
  85 extern __CONSTVALUE double asinh __P ((double __x));
  86 /* Hyperbolic arc tangent of X.  */
  87 extern __CONSTVALUE double atanh __P ((double __x));
  88 #endif
  89
  90 /* Exponential and logarithmic functions.  */
  91
  92 /* Exponentional function of X.  */
  93 extern __CONSTVALUE double exp __P ((double __x));
  94
  95 /* Break VALUE into a normalized fraction and an integral power of 2.  */
  96 extern double frexp __P ((double __value, int *__exp));
  97
  98 /* X times (two to the EXP power).  */
  99 extern __CONSTVALUE double ldexp __P ((double __x, int __exp));
 100
 101 /* Natural logarithm of X.  */
 102 extern __CONSTVALUE double log __P ((double __x));
 103
 104 /* Base-ten logarithm of X.  */
 105 extern __CONSTVALUE double log10 __P ((double __x));
 106
 107 #ifdef  __USE_MISC
 108 /* Return exp(X) - 1.  */
 109 extern __CONSTVALUE double expm1 __P ((double __x));
 110
 111 /* Return log(1 + X).  */
 112 extern __CONSTVALUE double log1p __P ((double __x));
 113 #endif
 114
 115 /* Break VALUE into integral and fractional parts.  */
 116 extern double modf __P ((double __value, double *__iptr));
 117
 118
 119 /* Power functions.  */
 120
 121 /* Return X to the Y power.  */
 122 extern __CONSTVALUE double pow __P ((double __x, double __y));
 123
 124 /* Return the square root of X.  */
 125 extern __CONSTVALUE double sqrt __P ((double __x));
 126
 127 #ifdef  __USE_MISC
 128 /* Return the cube root of X.  */
 129 extern __CONSTVALUE double cbrt __P ((double __x));
 130 #endif
 131
 132
 133 /* Nearest integer, absolute value, and remainder functions.  */
 134
 135 /* Smallest integral value not less than X.  */
 136 extern __CONSTVALUE double ceil __P ((double __x));
 137
 138 /* Absolute value of X.  */
 139 extern __CONSTVALUE double fabs __P ((double __x));
 140
 141 /* Largest integer not greater than X.  */
 142 extern __CONSTVALUE double floor __P ((double __x));
 143
 144 /* Floating-point modulo remainder of X/Y.  */
 145 extern __CONSTVALUE double fmod __P ((double __x, double __y));
 146
 147
 148 /* Return 0 if VALUE is finite or NaN, +1 if it
 149    is +Infinity, -1 if it is -Infinity.  */
 150 extern __CONSTVALUE int __isinf __P ((double __value));
 151
 152 /* Return nonzero if VALUE is not a number.  */
 153 extern __CONSTVALUE int __isnan __P ((double __value));
 154
 155 /* Return nonzero if VALUE is finite and not NaN.  */
 156 extern __CONSTVALUE int __finite __P ((double __value));
 157 #ifdef  __OPTIMIZE__
 158 #define __finite(value) (!__isinf(value))
 159 #endif
 160
 161 /* Deal with an infinite or NaN result.
 162    If ERROR is ERANGE, result is +Inf;
 163    if ERROR is - ERANGE, result is -Inf;
 164    otherwise result is NaN.
 165    This will set `errno' to either ERANGE or EDOM,
 166    and may return an infinity or NaN, or may do something else.  */
 167 extern double __infnan __P ((int __error));
 168
 169 /* Return X with its signed changed to Y's.  */
 170 extern __CONSTVALUE double __copysign __P ((double __x, double __y));
 171
 172 /* Return X times (2 to the Nth power).  */
 173 extern __CONSTVALUE double __scalb __P ((double __x, int __n));
 174
 175 #ifdef  __OPTIMIZE__
 176 #define __scalb(x, n)   ldexp ((x), (n))
 177 #endif
 178
 179 /* Return the remainder of X/Y.  */
 180 extern __CONSTVALUE double __drem __P ((double __x, double __y));
 181
 182 /* Return the base 2 signed integral exponent of X.  */
 183 extern __CONSTVALUE double __logb __P ((double __x));
 184
 185 #ifdef  __USE_MISC
 186
 187 /* Return the integer nearest X in the direction of the
 188    prevailing rounding mode.  */
 189 extern __CONSTVALUE double rint __P ((double __x));
 190
 191 /* Return `sqrt(X*X + Y*Y)'.  */
 192 extern __CONSTVALUE double hypot __P ((double __x, double __y));
 193
 194 struct __complex
 195 {
 196   double __x, __y;
 197 };
 198
 199 /* Return `sqrt(X*X + Y*Y)'.  */
 200 extern __CONSTVALUE double cabs __P ((struct __complex));
 201
 202 extern __CONSTVALUE int isinf __P ((double __value));
 203 extern __CONSTVALUE int isnan __P ((double __value));
 204 extern __CONSTVALUE int finite __P ((double __value));
 205 extern __CONSTVALUE double infnan __P ((int __error));
 206 extern __CONSTVALUE double copysign __P ((double __x, double __y));
 207 extern __CONSTVALUE double scalb __P ((double __x, int __n));
 208 extern __CONSTVALUE double drem __P ((double __x, double __y));
 209 extern __CONSTVALUE double logb __P ((double __x));
 210
 211 #ifdef  __OPTIMIZE__
 212 #define isinf(value)    __isinf(value)
 213 #define isnan(value)    __isnan(value)
 214 #define infnan(error)   __infnan(error)
 215 #define finite(value)   __finite(value)
 216 #define copysign(x, y)  __copysign((x), (y))
 217 #define scalb(x, n)     __scalb((x), (n))
 218 #define drem(x, y)      __drem((x), (y))
 219 #define logb(x)         __logb(x)
 220 #endif /* Optimizing.  */
 221
 222 #endif /* Use misc.  */
 223
 224
 225 #if 0
 226 /* The "Future Library Directions" section of the
 227    ANSI Standard reserves these as `float' and
 228    `long double' versions of the above functions.  */
 229
 230 extern __CONSTVALUE float acosf __P ((float __x));
 231 extern __CONSTVALUE float asinf __P ((float __x));
 232 extern __CONSTVALUE float atanf __P ((float __x));
 233 extern __CONSTVALUE float atan2f __P ((float __y, float __x));
 234 extern __CONSTVALUE float cosf __P ((float __x));
 235 extern __CONSTVALUE float sinf __P ((float __x));
 236 extern __CONSTVALUE float tanf __P ((float __x));
 237 extern __CONSTVALUE float coshf __P ((float __x));
 238 extern __CONSTVALUE float sinhf __P ((float __x));
 239 extern __CONSTVALUE float tanhf __P ((float __x));
 240 extern __CONSTVALUE float expf __P ((float __x));
 241 extern float frexpf __P ((float __value, int *__exp));
 242 extern __CONSTVALUE float ldexpf __P ((float __x, int __exp));
 243 extern __CONSTVALUE float logf __P ((float __x));
 244 extern __CONSTVALUE float log10f __P ((float __x));
 245 extern float modff __P ((float __value, float *__iptr));
 246 extern __CONSTVALUE float powf __P ((float __x, float __y));
 247 extern __CONSTVALUE float sqrtf __P ((float __x));
 248 extern __CONSTVALUE float ceilf __P ((float __x));
 249 extern __CONSTVALUE float fabsf __P ((float __x));
 250 extern __CONSTVALUE float floorf __P ((float __x));
 251 extern __CONSTVALUE float fmodf __P ((float __x, float __y));
 252
 253 extern __CONSTVALUE __long_double_t acosl __P ((__long_double_t __x));
 254 extern __CONSTVALUE __long_double_t asinl __P ((__long_double_t __x));
 255 extern __CONSTVALUE __long_double_t atanl __P ((__long_double_t __x));
 256 extern __CONSTVALUE __long_double_t atan2l __P ((__long_double_t __y, __long_double_t __x));
 257 extern __CONSTVALUE __long_double_t cosl __P ((__long_double_t __x));
 258 extern __CONSTVALUE __long_double_t sinl __P ((__long_double_t __x));
 259 extern __CONSTVALUE __long_double_t tanl __P ((__long_double_t __x));
 260 extern __CONSTVALUE __long_double_t coshl __P ((__long_double_t __x));
 261 extern __CONSTVALUE __long_double_t sinhl __P ((__long_double_t __x));
 262 extern __CONSTVALUE __long_double_t tanhl __P ((__long_double_t __x));
 263 extern __CONSTVALUE __long_double_t expl __P ((__long_double_t __x));
 264 extern __long_double_t frexpl __P ((__long_double_t __value, int *__exp));
 265 extern __CONSTVALUE __long_double_t ldexpl __P ((__long_double_t __x, int __exp));
 266 extern __CONSTVALUE __long_double_t logl __P ((__long_double_t __x));
 267 extern __CONSTVALUE __long_double_t log10l __P ((__long_double_t __x));
 268 extern __long_double_t modfl __P ((__long_double_t __value, __long_double_t * __ip));
 269 extern __CONSTVALUE __long_double_t powl __P ((__long_double_t __x, __long_double_t __y));
 270 extern __CONSTVALUE __long_double_t sqrtl __P ((__long_double_t __x));
 271 extern __CONSTVALUE __long_double_t ceill __P ((__long_double_t __x));
 272 extern __CONSTVALUE __long_double_t fabsl __P ((__long_double_t __x));
 273 extern __CONSTVALUE __long_double_t floorl __P ((__long_double_t __x));
 274 extern __CONSTVALUE __long_double_t fmodl __P ((__long_double_t __x, __long_double_t __y));
 275 #endif /* 0 */
 276
 277 /* Get machine-dependent inline versions (if there are any).  */
 278 #include <__math.h>
 279
 280 __END_DECLS
 281
 282 #endif /* math.h  */