| xf.li | bdd93d5 | 2023-05-12 07:10:14 -0700 | [diff] [blame] | 1 | /* Prototype declarations for math functions; helper file for <math.h>. | 
|  | 2 | Copyright (C) 1996-2016 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 Lesser General Public | 
|  | 7 | License as published by the Free Software Foundation; either | 
|  | 8 | version 2.1 of the 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 | Lesser General Public License for more details. | 
|  | 14 |  | 
|  | 15 | You should have received a copy of the GNU Lesser General Public | 
|  | 16 | License along with the GNU C Library; if not, see | 
|  | 17 | <http://www.gnu.org/licenses/>.  */ | 
|  | 18 |  | 
|  | 19 | /* NOTE: Because of the special way this file is used by <math.h>, this | 
|  | 20 | file must NOT be protected from multiple inclusion as header files | 
|  | 21 | usually are. | 
|  | 22 |  | 
|  | 23 | This file provides prototype declarations for the math functions. | 
|  | 24 | Most functions are declared using the macro: | 
|  | 25 |  | 
|  | 26 | __MATHCALL (NAME,[_r], (ARGS...)); | 
|  | 27 |  | 
|  | 28 | This means there is a function `NAME' returning `double' and a function | 
|  | 29 | `NAMEf' returning `float'.  Each place `_Mdouble_' appears in the | 
|  | 30 | prototype, that is actually `double' in the prototype for `NAME' and | 
|  | 31 | `float' in the prototype for `NAMEf'.  Reentrant variant functions are | 
|  | 32 | called `NAME_r' and `NAMEf_r'. | 
|  | 33 |  | 
|  | 34 | Functions returning other types like `int' are declared using the macro: | 
|  | 35 |  | 
|  | 36 | __MATHDECL (TYPE, NAME,[_r], (ARGS...)); | 
|  | 37 |  | 
|  | 38 | This is just like __MATHCALL but for a function returning `TYPE' | 
|  | 39 | instead of `_Mdouble_'.  In all of these cases, there is still | 
|  | 40 | both a `NAME' and a `NAMEf' that takes `float' arguments. | 
|  | 41 |  | 
|  | 42 | Note that there must be no whitespace before the argument passed for | 
|  | 43 | NAME, to make token pasting work with -traditional.  */ | 
|  | 44 |  | 
|  | 45 | #ifndef _MATH_H | 
|  | 46 | # error "Never include <bits/mathcalls.h> directly; include <math.h> instead." | 
|  | 47 | #endif | 
|  | 48 |  | 
|  | 49 |  | 
|  | 50 | /* Trigonometric functions.  */ | 
|  | 51 |  | 
|  | 52 | _Mdouble_BEGIN_NAMESPACE | 
|  | 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_VEC (cos,, (_Mdouble_ __x)); | 
|  | 64 | /* Sine of X.  */ | 
|  | 65 | __MATHCALL_VEC (sin,, (_Mdouble_ __x)); | 
|  | 66 | /* Tangent of X.  */ | 
|  | 67 | __MATHCALL (tan,, (_Mdouble_ __x)); | 
|  | 68 |  | 
|  | 69 | /* Hyperbolic functions.  */ | 
|  | 70 |  | 
|  | 71 | /* Hyperbolic cosine of X.  */ | 
|  | 72 | __MATHCALL (cosh,, (_Mdouble_ __x)); | 
|  | 73 | /* Hyperbolic sine of X.  */ | 
|  | 74 | __MATHCALL (sinh,, (_Mdouble_ __x)); | 
|  | 75 | /* Hyperbolic tangent of X.  */ | 
|  | 76 | __MATHCALL (tanh,, (_Mdouble_ __x)); | 
|  | 77 | _Mdouble_END_NAMESPACE | 
|  | 78 |  | 
|  | 79 | #ifdef __USE_GNU | 
|  | 80 | /* Cosine and sine of X.  */ | 
|  | 81 | __MATHDECL_VEC (void,sincos,, | 
|  | 82 | (_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx)); | 
|  | 83 | #endif | 
|  | 84 |  | 
|  | 85 | #if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99 | 
|  | 86 | __BEGIN_NAMESPACE_C99 | 
|  | 87 | /* Hyperbolic arc cosine of X.  */ | 
|  | 88 | __MATHCALL (acosh,, (_Mdouble_ __x)); | 
|  | 89 | /* Hyperbolic arc sine of X.  */ | 
|  | 90 | __MATHCALL (asinh,, (_Mdouble_ __x)); | 
|  | 91 | /* Hyperbolic arc tangent of X.  */ | 
|  | 92 | __MATHCALL (atanh,, (_Mdouble_ __x)); | 
|  | 93 | __END_NAMESPACE_C99 | 
|  | 94 | #endif | 
|  | 95 |  | 
|  | 96 | /* Exponential and logarithmic functions.  */ | 
|  | 97 |  | 
|  | 98 | _Mdouble_BEGIN_NAMESPACE | 
|  | 99 | /* Exponential function of X.  */ | 
|  | 100 | __MATHCALL_VEC (exp,, (_Mdouble_ __x)); | 
|  | 101 |  | 
|  | 102 | /* Break VALUE into a normalized fraction and an integral power of 2.  */ | 
|  | 103 | __MATHCALL (frexp,, (_Mdouble_ __x, int *__exponent)); | 
|  | 104 |  | 
|  | 105 | /* X times (two to the EXP power).  */ | 
|  | 106 | __MATHCALL (ldexp,, (_Mdouble_ __x, int __exponent)); | 
|  | 107 |  | 
|  | 108 | /* Natural logarithm of X.  */ | 
|  | 109 | __MATHCALL_VEC (log,, (_Mdouble_ __x)); | 
|  | 110 |  | 
|  | 111 | /* Base-ten logarithm of X.  */ | 
|  | 112 | __MATHCALL (log10,, (_Mdouble_ __x)); | 
|  | 113 |  | 
|  | 114 | /* Break VALUE into integral and fractional parts.  */ | 
|  | 115 | __MATHCALL (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr)) __nonnull ((2)); | 
|  | 116 | _Mdouble_END_NAMESPACE | 
|  | 117 |  | 
|  | 118 | #ifdef __USE_GNU | 
|  | 119 | /* A function missing in all standards: compute exponent to base ten.  */ | 
|  | 120 | __MATHCALL (exp10,, (_Mdouble_ __x)); | 
|  | 121 | /* Another name occasionally used.  */ | 
|  | 122 | __MATHCALL (pow10,, (_Mdouble_ __x)); | 
|  | 123 | #endif | 
|  | 124 |  | 
|  | 125 | #if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99 | 
|  | 126 | __BEGIN_NAMESPACE_C99 | 
|  | 127 | /* Return exp(X) - 1.  */ | 
|  | 128 | __MATHCALL (expm1,, (_Mdouble_ __x)); | 
|  | 129 |  | 
|  | 130 | /* Return log(1 + X).  */ | 
|  | 131 | __MATHCALL (log1p,, (_Mdouble_ __x)); | 
|  | 132 |  | 
|  | 133 | /* Return the base 2 signed integral exponent of X.  */ | 
|  | 134 | __MATHCALL (logb,, (_Mdouble_ __x)); | 
|  | 135 | __END_NAMESPACE_C99 | 
|  | 136 | #endif | 
|  | 137 |  | 
|  | 138 | #ifdef __USE_ISOC99 | 
|  | 139 | __BEGIN_NAMESPACE_C99 | 
|  | 140 | /* Compute base-2 exponential of X.  */ | 
|  | 141 | __MATHCALL (exp2,, (_Mdouble_ __x)); | 
|  | 142 |  | 
|  | 143 | /* Compute base-2 logarithm of X.  */ | 
|  | 144 | __MATHCALL (log2,, (_Mdouble_ __x)); | 
|  | 145 | __END_NAMESPACE_C99 | 
|  | 146 | #endif | 
|  | 147 |  | 
|  | 148 |  | 
|  | 149 | /* Power functions.  */ | 
|  | 150 |  | 
|  | 151 | _Mdouble_BEGIN_NAMESPACE | 
|  | 152 | /* Return X to the Y power.  */ | 
|  | 153 | __MATHCALL_VEC (pow,, (_Mdouble_ __x, _Mdouble_ __y)); | 
|  | 154 |  | 
|  | 155 | /* Return the square root of X.  */ | 
|  | 156 | __MATHCALL (sqrt,, (_Mdouble_ __x)); | 
|  | 157 | _Mdouble_END_NAMESPACE | 
|  | 158 |  | 
|  | 159 | #if defined __USE_XOPEN || defined __USE_ISOC99 | 
|  | 160 | __BEGIN_NAMESPACE_C99 | 
|  | 161 | /* Return `sqrt(X*X + Y*Y)'.  */ | 
|  | 162 | __MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y)); | 
|  | 163 | __END_NAMESPACE_C99 | 
|  | 164 | #endif | 
|  | 165 |  | 
|  | 166 | #if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99 | 
|  | 167 | __BEGIN_NAMESPACE_C99 | 
|  | 168 | /* Return the cube root of X.  */ | 
|  | 169 | __MATHCALL (cbrt,, (_Mdouble_ __x)); | 
|  | 170 | __END_NAMESPACE_C99 | 
|  | 171 | #endif | 
|  | 172 |  | 
|  | 173 |  | 
|  | 174 | /* Nearest integer, absolute value, and remainder functions.  */ | 
|  | 175 |  | 
|  | 176 | _Mdouble_BEGIN_NAMESPACE | 
|  | 177 | /* Smallest integral value not less than X.  */ | 
|  | 178 | __MATHCALLX (ceil,, (_Mdouble_ __x), (__const__)); | 
|  | 179 |  | 
|  | 180 | /* Absolute value of X.  */ | 
|  | 181 | __MATHCALLX (fabs,, (_Mdouble_ __x), (__const__)); | 
|  | 182 |  | 
|  | 183 | /* Largest integer not greater than X.  */ | 
|  | 184 | __MATHCALLX (floor,, (_Mdouble_ __x), (__const__)); | 
|  | 185 |  | 
|  | 186 | /* Floating-point modulo remainder of X/Y.  */ | 
|  | 187 | __MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y)); | 
|  | 188 |  | 
|  | 189 |  | 
|  | 190 | /* Return 0 if VALUE is finite or NaN, +1 if it | 
|  | 191 | is +Infinity, -1 if it is -Infinity.  */ | 
|  | 192 | __MATHDECL_1 (int,__isinf,, (_Mdouble_ __value)) __attribute__ ((__const__)); | 
|  | 193 |  | 
|  | 194 | /* Return nonzero if VALUE is finite and not NaN.  */ | 
|  | 195 | __MATHDECL_1 (int,__finite,, (_Mdouble_ __value)) __attribute__ ((__const__)); | 
|  | 196 | _Mdouble_END_NAMESPACE | 
|  | 197 |  | 
|  | 198 | #ifdef __USE_MISC | 
|  | 199 | # if (!defined __cplusplus \ | 
|  | 200 | || __cplusplus < 201103L /* isinf conflicts with C++11.  */ \ | 
|  | 201 | || __MATH_DECLARING_DOUBLE == 0) /* isinff or isinfl don't.  */ | 
|  | 202 | /* Return 0 if VALUE is finite or NaN, +1 if it | 
|  | 203 | is +Infinity, -1 if it is -Infinity.  */ | 
|  | 204 | __MATHDECL_1 (int,isinf,, (_Mdouble_ __value)) __attribute__ ((__const__)); | 
|  | 205 | # endif | 
|  | 206 |  | 
|  | 207 | /* Return nonzero if VALUE is finite and not NaN.  */ | 
|  | 208 | __MATHDECL_1 (int,finite,, (_Mdouble_ __value)) __attribute__ ((__const__)); | 
|  | 209 |  | 
|  | 210 | /* Return the remainder of X/Y.  */ | 
|  | 211 | __MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y)); | 
|  | 212 |  | 
|  | 213 |  | 
|  | 214 | /* Return the fractional part of X after dividing out `ilogb (X)'.  */ | 
|  | 215 | __MATHCALL (significand,, (_Mdouble_ __x)); | 
|  | 216 | #endif /* Use misc.  */ | 
|  | 217 |  | 
|  | 218 | #ifdef __USE_ISOC99 | 
|  | 219 | __BEGIN_NAMESPACE_C99 | 
|  | 220 | /* Return X with its signed changed to Y's.  */ | 
|  | 221 | __MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__)); | 
|  | 222 | __END_NAMESPACE_C99 | 
|  | 223 | #endif | 
|  | 224 |  | 
|  | 225 | #ifdef __USE_ISOC99 | 
|  | 226 | __BEGIN_NAMESPACE_C99 | 
|  | 227 | /* Return representation of qNaN for double type.  */ | 
|  | 228 | __MATHCALLX (nan,, (const char *__tagb), (__const__)); | 
|  | 229 | __END_NAMESPACE_C99 | 
|  | 230 | #endif | 
|  | 231 |  | 
|  | 232 |  | 
|  | 233 | /* Return nonzero if VALUE is not a number.  */ | 
|  | 234 | __MATHDECL_1 (int,__isnan,, (_Mdouble_ __value)) __attribute__ ((__const__)); | 
|  | 235 |  | 
|  | 236 | #if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K) | 
|  | 237 | # if (!defined __cplusplus \ | 
|  | 238 | || __cplusplus < 201103L /* isnan conflicts with C++11.  */ \ | 
|  | 239 | || __MATH_DECLARING_DOUBLE == 0) /* isnanf or isnanl don't.  */ | 
|  | 240 | /* Return nonzero if VALUE is not a number.  */ | 
|  | 241 | __MATHDECL_1 (int,isnan,, (_Mdouble_ __value)) __attribute__ ((__const__)); | 
|  | 242 | # endif | 
|  | 243 | #endif | 
|  | 244 |  | 
|  | 245 | #if defined __USE_MISC || (defined __USE_XOPEN && __MATH_DECLARING_DOUBLE) | 
|  | 246 | /* Bessel functions.  */ | 
|  | 247 | __MATHCALL (j0,, (_Mdouble_)); | 
|  | 248 | __MATHCALL (j1,, (_Mdouble_)); | 
|  | 249 | __MATHCALL (jn,, (int, _Mdouble_)); | 
|  | 250 | __MATHCALL (y0,, (_Mdouble_)); | 
|  | 251 | __MATHCALL (y1,, (_Mdouble_)); | 
|  | 252 | __MATHCALL (yn,, (int, _Mdouble_)); | 
|  | 253 | #endif | 
|  | 254 |  | 
|  | 255 |  | 
|  | 256 | #if defined __USE_XOPEN || defined __USE_ISOC99 | 
|  | 257 | __BEGIN_NAMESPACE_C99 | 
|  | 258 | /* Error and gamma functions.  */ | 
|  | 259 | __MATHCALL (erf,, (_Mdouble_)); | 
|  | 260 | __MATHCALL (erfc,, (_Mdouble_)); | 
|  | 261 | __MATHCALL (lgamma,, (_Mdouble_)); | 
|  | 262 | __END_NAMESPACE_C99 | 
|  | 263 | #endif | 
|  | 264 |  | 
|  | 265 | #ifdef __USE_ISOC99 | 
|  | 266 | __BEGIN_NAMESPACE_C99 | 
|  | 267 | /* True gamma function.  */ | 
|  | 268 | __MATHCALL (tgamma,, (_Mdouble_)); | 
|  | 269 | __END_NAMESPACE_C99 | 
|  | 270 | #endif | 
|  | 271 |  | 
|  | 272 | #if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K) | 
|  | 273 | /* Obsolete alias for `lgamma'.  */ | 
|  | 274 | __MATHCALL (gamma,, (_Mdouble_)); | 
|  | 275 | #endif | 
|  | 276 |  | 
|  | 277 | #ifdef __USE_MISC | 
|  | 278 | /* Reentrant version of lgamma.  This function uses the global variable | 
|  | 279 | `signgam'.  The reentrant version instead takes a pointer and stores | 
|  | 280 | the value through it.  */ | 
|  | 281 | __MATHCALL (lgamma,_r, (_Mdouble_, int *__signgamp)); | 
|  | 282 | #endif | 
|  | 283 |  | 
|  | 284 |  | 
|  | 285 | #if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99 | 
|  | 286 | __BEGIN_NAMESPACE_C99 | 
|  | 287 | /* Return the integer nearest X in the direction of the | 
|  | 288 | prevailing rounding mode.  */ | 
|  | 289 | __MATHCALL (rint,, (_Mdouble_ __x)); | 
|  | 290 |  | 
|  | 291 | /* Return X + epsilon if X < Y, X - epsilon if X > Y.  */ | 
|  | 292 | __MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__)); | 
|  | 293 | # if defined __USE_ISOC99 && !defined __LDBL_COMPAT | 
|  | 294 | __MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__)); | 
|  | 295 | # endif | 
|  | 296 |  | 
|  | 297 | /* Return the remainder of integer divison X / Y with infinite precision.  */ | 
|  | 298 | __MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y)); | 
|  | 299 |  | 
|  | 300 | # ifdef __USE_ISOC99 | 
|  | 301 | /* Return X times (2 to the Nth power).  */ | 
|  | 302 | __MATHCALL (scalbn,, (_Mdouble_ __x, int __n)); | 
|  | 303 | # endif | 
|  | 304 |  | 
|  | 305 | /* Return the binary exponent of X, which must be nonzero.  */ | 
|  | 306 | __MATHDECL (int,ilogb,, (_Mdouble_ __x)); | 
|  | 307 | #endif | 
|  | 308 |  | 
|  | 309 | #ifdef __USE_ISOC99 | 
|  | 310 | /* Return X times (2 to the Nth power).  */ | 
|  | 311 | __MATHCALL (scalbln,, (_Mdouble_ __x, long int __n)); | 
|  | 312 |  | 
|  | 313 | /* Round X to integral value in floating-point format using current | 
|  | 314 | rounding direction, but do not raise inexact exception.  */ | 
|  | 315 | __MATHCALL (nearbyint,, (_Mdouble_ __x)); | 
|  | 316 |  | 
|  | 317 | /* Round X to nearest integral value, rounding halfway cases away from | 
|  | 318 | zero.  */ | 
|  | 319 | __MATHCALLX (round,, (_Mdouble_ __x), (__const__)); | 
|  | 320 |  | 
|  | 321 | /* Round X to the integral value in floating-point format nearest but | 
|  | 322 | not larger in magnitude.  */ | 
|  | 323 | __MATHCALLX (trunc,, (_Mdouble_ __x), (__const__)); | 
|  | 324 |  | 
|  | 325 | /* Compute remainder of X and Y and put in *QUO a value with sign of x/y | 
|  | 326 | and magnitude congruent `mod 2^n' to the magnitude of the integral | 
|  | 327 | quotient x/y, with n >= 3.  */ | 
|  | 328 | __MATHCALL (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo)); | 
|  | 329 |  | 
|  | 330 |  | 
|  | 331 | /* Conversion functions.  */ | 
|  | 332 |  | 
|  | 333 | /* Round X to nearest integral value according to current rounding | 
|  | 334 | direction.  */ | 
|  | 335 | __MATHDECL (long int,lrint,, (_Mdouble_ __x)); | 
|  | 336 | __extension__ | 
|  | 337 | __MATHDECL (long long int,llrint,, (_Mdouble_ __x)); | 
|  | 338 |  | 
|  | 339 | /* Round X to nearest integral value, rounding halfway cases away from | 
|  | 340 | zero.  */ | 
|  | 341 | __MATHDECL (long int,lround,, (_Mdouble_ __x)); | 
|  | 342 | __extension__ | 
|  | 343 | __MATHDECL (long long int,llround,, (_Mdouble_ __x)); | 
|  | 344 |  | 
|  | 345 |  | 
|  | 346 | /* Return positive difference between X and Y.  */ | 
|  | 347 | __MATHCALL (fdim,, (_Mdouble_ __x, _Mdouble_ __y)); | 
|  | 348 |  | 
|  | 349 | /* Return maximum numeric value from X and Y.  */ | 
|  | 350 | __MATHCALLX (fmax,, (_Mdouble_ __x, _Mdouble_ __y), (__const__)); | 
|  | 351 |  | 
|  | 352 | /* Return minimum numeric value from X and Y.  */ | 
|  | 353 | __MATHCALLX (fmin,, (_Mdouble_ __x, _Mdouble_ __y), (__const__)); | 
|  | 354 |  | 
|  | 355 |  | 
|  | 356 | /* Classify given number.  */ | 
|  | 357 | __MATHDECL_1 (int, __fpclassify,, (_Mdouble_ __value)) | 
|  | 358 | __attribute__ ((__const__)); | 
|  | 359 |  | 
|  | 360 | /* Test for negative number.  */ | 
|  | 361 | __MATHDECL_1 (int, __signbit,, (_Mdouble_ __value)) | 
|  | 362 | __attribute__ ((__const__)); | 
|  | 363 |  | 
|  | 364 |  | 
|  | 365 | /* Multiply-add function computed as a ternary operation.  */ | 
|  | 366 | __MATHCALL (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z)); | 
|  | 367 | #endif /* Use ISO C99.  */ | 
|  | 368 |  | 
|  | 369 | #if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99 | 
|  | 370 | __END_NAMESPACE_C99 | 
|  | 371 | #endif | 
|  | 372 |  | 
|  | 373 | #ifdef __USE_GNU | 
|  | 374 | /* Test for signaling NaN.  */ | 
|  | 375 | __MATHDECL_1 (int, __issignaling,, (_Mdouble_ __value)) | 
|  | 376 | __attribute__ ((__const__)); | 
|  | 377 | #endif | 
|  | 378 |  | 
|  | 379 | #if defined __USE_MISC || (defined __USE_XOPEN_EXTENDED \ | 
|  | 380 | && __MATH_DECLARING_DOUBLE	\ | 
|  | 381 | && !defined __USE_XOPEN2K8) | 
|  | 382 | /* Return X times (2 to the Nth power).  */ | 
|  | 383 | __MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n)); | 
|  | 384 | #endif |