math/bits/mathcalls.h

   1 /* Prototype declarations for math functions; helper file for <math.h>.
   2    Copyright (C) 1996, 1997, 1998, 1999 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 /* NOTE: Because of the special way this file is used by <math.h>, this
  21    file must NOT be protected from multiple inclusion as header files
  22    usually are.
  23
  24    This file provides prototype declarations for the math functions.
  25    Most functions are declared using the macro:
  26
  27    __MATHCALL (NAME,[_r], (ARGS...));
  28
  29    This means there is a function `NAME' returning `double' and a function
  30    `NAMEf' returning `float'.  Each place `_Mdouble_' appears in the
  31    prototype, that is actually `double' in the prototype for `NAME' and
  32    `float' in the prototype for `NAMEf'.  Reentrant variant functions are
  33    called `NAME_r' and `NAMEf_r'.
  34
  35    Functions returning other types like `int' are declared using the macro:
  36
  37    __MATHDECL (TYPE, NAME,[_r], (ARGS...));
  38
  39    This is just like __MATHCALL but for a function returning `TYPE'
  40    instead of `_Mdouble_'.  In all of these cases, there is still
  41    both a `NAME' and a `NAMEf' that takes `float' arguments.
  42
  43    Note that there must be no whitespace before the argument passed for
  44    NAME, to make token pasting work with -traditional.  */
  45
  46 #ifndef _MATH_H
  47  #error "Never include <bits/mathcalls.h> directly; include <math.h> instead."
  48 #endif
  49
  50
  51 /* Trigonometric functions.  */
  52
  53 /* Arc cosine of X.  */
  54 __MATHCALL (acos,, (_Mdouble_ __x));
  55 /* Arc sine of X.  */
  56 __MATHCALL (asin,, (_Mdouble_ __x));
  57 /* Arc tangent of X.  */
  58 __MATHCALL (atan,, (_Mdouble_ __x));
  59 /* Arc tangent of Y/X.  */
  60 __MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
  61
  62 /* Cosine of X.  */
  63 __MATHCALL (cos,, (_Mdouble_ __x));
  64 /* Sine of X.  */
  65 __MATHCALL (sin,, (_Mdouble_ __x));
  66 /* Tangent of X.  */
  67 __MATHCALL (tan,, (_Mdouble_ __x));
  68
  69 #ifdef __USE_GNU
  70 /* Cosine and sine of X.  */
  71 __MATHDECL (void,sincos,,
  72             (_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx));
  73 #endif
  74
  75 /* Hyperbolic functions.  */
  76
  77 /* Hyperbolic cosine of X.  */
  78 __MATHCALL (cosh,, (_Mdouble_ __x));
  79 /* Hyperbolic sine of X.  */
  80 __MATHCALL (sinh,, (_Mdouble_ __x));
  81 /* Hyperbolic tangent of X.  */
  82 __MATHCALL (tanh,, (_Mdouble_ __x));
  83
  84 #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC9X
  85 /* Hyperbolic arc cosine of X.  */
  86 __MATHCALL (acosh,, (_Mdouble_ __x));
  87 /* Hyperbolic arc sine of X.  */
  88 __MATHCALL (asinh,, (_Mdouble_ __x));
  89 /* Hyperbolic arc tangent of X.  */
  90 __MATHCALL (atanh,, (_Mdouble_ __x));
  91 #endif
  92
  93 /* Exponential and logarithmic functions.  */
  94
  95 /* Exponential function of X.  */
  96 __MATHCALL (exp,, (_Mdouble_ __x));
  97
  98 #ifdef __USE_GNU
  99 /* A function missing in all standards: compute exponent to base ten.  */
 100 __MATHCALL (exp10,, (_Mdouble_ __x));
 101 /* Another name occasionally used.  */
 102 __MATHCALL (pow10,, (_Mdouble_ __x));
 103 #endif
 104
 105 /* Break VALUE into a normalized fraction and an integral power of 2.  */
 106 __MATHCALL (frexp,, (_Mdouble_ __x, int *__exponent));
 107
 108 /* X times (two to the EXP power).  */
 109 __MATHCALL (ldexp,, (_Mdouble_ __x, int __exponent));
 110
 111 /* Natural logarithm of X.  */
 112 __MATHCALL (log,, (_Mdouble_ __x));
 113
 114 /* Base-ten logarithm of X.  */
 115 __MATHCALL (log10,, (_Mdouble_ __x));
 116
 117 /* Break VALUE into integral and fractional parts.  */
 118 __MATHCALL (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr));
 119
 120 #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC9X
 121 /* Return exp(X) - 1.  */
 122 __MATHCALL (expm1,, (_Mdouble_ __x));
 123
 124 /* Return log(1 + X).  */
 125 __MATHCALL (log1p,, (_Mdouble_ __x));
 126
 127 /* Return the base 2 signed integral exponent of X.  */
 128 __MATHCALL (logb,, (_Mdouble_ __x));
 129 #endif
 130
 131 #ifdef __USE_ISOC9X
 132 /* Compute base-2 exponential of X.  */
 133 __MATHCALL (exp2,, (_Mdouble_ __x));
 134
 135 /* Compute base-2 logarithm of X.  */
 136 __MATHCALL (log2,, (_Mdouble_ __x));
 137 #endif
 138
 139
 140 /* Power functions.  */
 141
 142 /* Return X to the Y power.  */
 143 __MATHCALL (pow,, (_Mdouble_ __x, _Mdouble_ __y));
 144
 145 /* Return the square root of X.  */
 146 __MATHCALL (sqrt,, (_Mdouble_ __x));
 147
 148 #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC9X
 149 /* Return `sqrt(X*X + Y*Y)'.  */
 150 __MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
 151 #endif
 152
 153 #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC9X
 154 /* Return the cube root of X.  */
 155 __MATHCALL (cbrt,, (_Mdouble_ __x));
 156 #endif
 157
 158
 159 /* Nearest integer, absolute value, and remainder functions.  */
 160
 161 /* Smallest integral value not less than X.  */
 162 __MATHCALL (ceil,, (_Mdouble_ __x));
 163
 164 /* Absolute value of X.  */
 165 __MATHCALLX (fabs,, (_Mdouble_ __x), (__const__));
 166
 167 /* Largest integer not greater than X.  */
 168 __MATHCALL (floor,, (_Mdouble_ __x));
 169
 170 /* Floating-point modulo remainder of X/Y.  */
 171 __MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));
 172
 173
 174 /* Return 0 if VALUE is finite or NaN, +1 if it
 175    is +Infinity, -1 if it is -Infinity.  */
 176 __MATHDECL_1 (int,__isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
 177
 178 #ifdef __USE_MISC
 179 /* Return 0 if VALUE is finite or NaN, +1 if it
 180    is +Infinity, -1 if it is -Infinity.  */
 181 __MATHDECL_1 (int,isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
 182
 183 /* Return nonzero if VALUE is finite and not NaN.  */
 184 __MATHDECLX (int,finite,, (_Mdouble_ __value), (__const__));
 185
 186 /* Deal with an infinite or NaN result.
 187    If ERROR is ERANGE, result is +Inf;
 188    if ERROR is - ERANGE, result is -Inf;
 189    otherwise result is NaN.
 190    This will set `errno' to either ERANGE or EDOM,
 191    and may return an infinity or NaN, or may do something else.  */
 192 __MATHCALLX (infnan,, (int __error), (__const__));
 193
 194 /* Return the remainder of X/Y.  */
 195 __MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));
 196
 197
 198 /* Return the fractional part of X after dividing out `ilogb (X)'.  */
 199 __MATHCALL (significand,, (_Mdouble_ __x));
 200 #endif /* Use misc.  */
 201
 202 #if defined __USE_MISC || defined __USE_ISOC9X
 203 /* Return X with its signed changed to Y's.  */
 204 __MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
 205 #endif
 206
 207 #ifdef __USE_ISOC9X
 208 /* Return representation of NaN for double type.  */
 209 __MATHCALLX (nan,, (__const char *__tagb), (__const__));
 210 #endif
 211
 212
 213 /* Return nonzero if VALUE is not a number.  */
 214 __MATHDECLX (int,__isnan,, (_Mdouble_ __value), (__const__));
 215
 216 #if defined __USE_MISC || defined __USE_XOPEN
 217 /* Return nonzero if VALUE is not a number.  */
 218 __MATHDECLX (int,isnan,, (_Mdouble_ __value), (__const__));
 219
 220 /* Bessel functions.  */
 221 __MATHCALL (j0,, (_Mdouble_));
 222 __MATHCALL (j1,, (_Mdouble_));
 223 __MATHCALL (jn,, (int, _Mdouble_));
 224 __MATHCALL (y0,, (_Mdouble_));
 225 __MATHCALL (y1,, (_Mdouble_));
 226 __MATHCALL (yn,, (int, _Mdouble_));
 227 #endif
 228
 229
 230 #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC9X
 231 /* Error and gamma functions.  */
 232 __MATHCALL (erf,, (_Mdouble_));
 233 __MATHCALL (erfc,, (_Mdouble_));
 234 __MATHCALL (lgamma,, (_Mdouble_));
 235 __MATHCALL (tgamma,, (_Mdouble_));
 236 #endif
 237
 238 #if defined __USE_MISC || defined __USE_XOPEN
 239 /* Obsolete alias for `lgamma'.  */
 240 __MATHCALL (gamma,, (_Mdouble_));
 241 #endif
 242
 243 #ifdef __USE_MISC
 244 /* Reentrant version of lgamma.  This function uses the global variable
 245    `signgam'.  The reentrant version instead takes a pointer and stores
 246    the value through it.  */
 247 __MATHCALL (lgamma,_r, (_Mdouble_, int *__signgamp));
 248 #endif
 249
 250
 251 #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC9X
 252 /* Return the integer nearest X in the direction of the
 253    prevailing rounding mode.  */
 254 __MATHCALL (rint,, (_Mdouble_ __x));
 255
 256 /* Return X + epsilon if X < Y, X - epsilon if X > Y.  */
 257 __MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
 258 # ifdef __USE_ISOC9X
 259 __MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__));
 260 # endif
 261
 262 /* Return the remainder of integer divison X / Y with infinite precision.  */
 263 __MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
 264
 265 # if defined __USE_MISC || defined __USE_XOPEN_EXTENDED
 266 /* Return X times (2 to the Nth power).  */
 267 __MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
 268 # endif
 269
 270 /* Return X times (2 to the Nth power).  */
 271 __MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
 272
 273 /* Return the binary exponent of X, which must be nonzero.  */
 274 __MATHDECL (int,ilogb,, (_Mdouble_ __x));
 275 #endif
 276
 277 #ifdef __USE_ISOC9X
 278 /* Return X times (2 to the Nth power).  */
 279 __MATHCALL (scalbln,, (_Mdouble_ __x, long int __n));
 280
 281 /* Round X to integral value in floating-point format using current
 282    rounding direction, but do not raise inexact exception.  */
 283 __MATHCALL (nearbyint,, (_Mdouble_ __x));
 284
 285 /* Round X to nearest integral value, rounding halfway cases away from
 286    zero.  */
 287 __MATHCALL (round,, (_Mdouble_ __x));
 288
 289 /* Round X to the integral value in floating-point format nearest but
 290    not larger in magnitude.  */
 291 __MATHCALLX (trunc,, (_Mdouble_ __x), (__const__));
 292
 293 /* Compute remainder of X and Y and put in *QUO a value with sign of x/y
 294    and magnitude congruent `mod 2^n' to the magnitude of the integral
 295    quotient x/y, with n >= 3.  */
 296 __MATHCALL (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo));
 297
 298
 299 /* Conversion functions.  */
 300
 301 /* Round X to nearest integral value according to current rounding
 302    direction.  */
 303 __MATHDECL (long int,lrint,, (_Mdouble_ __x));
 304 __MATHDECL (long long int,llrint,, (_Mdouble_ __x));
 305
 306 /* Round X to nearest integral value, rounding halfway cases away from
 307    zero.  */
 308 __MATHDECL (long int,lround,, (_Mdouble_ __x));
 309 __MATHDECL (long long int,llround,, (_Mdouble_ __x));
 310
 311
 312 /* Return positive difference between X and Y.  */
 313 __MATHCALL (fdim,, (_Mdouble_ __x, _Mdouble_ __y));
 314
 315 /* Return maximum numeric value from X and Y.  */
 316 __MATHCALL (fmax,, (_Mdouble_ __x, _Mdouble_ __y));
 317
 318 /* Return minimum numeric value from X and Y.  */
 319 __MATHCALL (fmin,, (_Mdouble_ __x, _Mdouble_ __y));
 320
 321
 322 /* Classify given number.  */
 323 __MATHDECL_1 (int, __fpclassify,, (_Mdouble_ __value))
 324      __attribute__ ((__const__));
 325
 326 /* Test for negative number.  */
 327 __MATHDECL_1 (int, __signbit,, (_Mdouble_ __value))
 328      __attribute__ ((__const__));
 329
 330
 331 /* Multiply-add function computed as a ternary operation.  */
 332 __MATHCALL (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z));
 333 #endif /* Use ISO C 9X.  */