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 |