lib/math.in.h

   1 /* A GNU-like <math.h>.
   2
   3    Copyright (C) 2002-2003, 2007-2010 Free Software Foundation, Inc.
   4
   5    This program is free software: you can redistribute it and/or modify
   6    it under the terms of the GNU Lesser General Public License as published by
   7    the Free Software Foundation; either version 3 of the License, or
   8    (at your option) any later version.
   9
  10    This program 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
  13    GNU Lesser General Public License for more details.
  14
  15    You should have received a copy of the GNU Lesser General Public License
  16    along with this program.  If not, see <http://www.gnu.org/licenses/>.  */
  17
  18 #ifndef _GL_MATH_H
  19
  20 #if __GNUC__ >= 3
  21 @PRAGMA_SYSTEM_HEADER@
  22 #endif
  23 @PRAGMA_COLUMNS@
  24
  25 /* The include_next requires a split double-inclusion guard.  */
  26 #@INCLUDE_NEXT_AS_FIRST_DIRECTIVE@ @NEXT_AS_FIRST_DIRECTIVE_MATH_H@
  27
  28 #ifndef _GL_MATH_H
  29 #define _GL_MATH_H
  30
  31
  32 /* The definitions of _GL_FUNCDECL_RPL etc. are copied here.  */
  33
  34 /* The definition of _GL_ARG_NONNULL is copied here.  */
  35
  36 /* The definition of _GL_WARN_ON_USE is copied here.  */
  37
  38 /* Helper macros to define a portability warning for the
  39    classification macro FUNC called with VALUE.  POSIX declares the
  40    classification macros with an argument of real-floating (that is,
  41    one of float, double, or long double).  */
  42 #define _GL_WARN_REAL_FLOATING_DECL(func) \
  43 static inline int                                                   \
  44 rpl_ ## func ## f (float f)                                         \
  45 {                                                                   \
  46   return func (f);                                                  \
  47 }                                                                   \
  48 static inline int                                                   \
  49 rpl_ ## func ## d (double d)                                        \
  50 {                                                                   \
  51   return func (d);                                                  \
  52 }                                                                   \
  53 static inline int                                                   \
  54 rpl_ ## func ## l (long double l)                                   \
  55 {                                                                   \
  56   return func (l);                                                  \
  57 }                                                                   \
  58 _GL_WARN_ON_USE (rpl_ ## func ## f, #func " is unportable - "       \
  59                  "use gnulib module " #func " for portability");    \
  60 _GL_WARN_ON_USE (rpl_ ## func ## d, #func " is unportable - "       \
  61                  "use gnulib module " #func " for portability");    \
  62 _GL_WARN_ON_USE (rpl_ ## func ## l, #func " is unportable - "       \
  63                  "use gnulib module " #func " for portability")
  64 #define _GL_WARN_REAL_FLOATING_IMPL(func, value) \
  65   (sizeof (value) == sizeof (float) ? rpl_ ## func ## f (value)     \
  66    : sizeof (value) == sizeof (double) ? rpl_ ## func ## d (value)  \
  67    : rpl_ ## func ## l (value))
  68
  69
  70 /* POSIX allows platforms that don't support NAN.  But all major
  71    machines in the past 15 years have supported something close to
  72    IEEE NaN, so we define this unconditionally.  We also must define
  73    it on platforms like Solaris 10, where NAN is present but defined
  74    as a function pointer rather than a floating point constant.  */
  75 #if !defined NAN || @REPLACE_NAN@
  76 # undef NAN
  77   /* The Compaq (ex-DEC) C 6.4 compiler chokes on the expression 0.0 / 0.0.  */
  78 # ifdef __DECC
  79 static float
  80 _NaN ()
  81 {
  82   static float zero = 0.0f;
  83   return zero / zero;
  84 }
  85 #  define NAN (_NaN())
  86 # else
  87 #  define NAN (0.0f / 0.0f)
  88 # endif
  89 #endif
  90
  91 /* Solaris 10 defines HUGE_VAL, but as a function pointer rather
  92    than a floating point constant.  */
  93 #if @REPLACE_HUGE_VAL@
  94 # undef HUGE_VAL
  95 # define HUGE_VAL (1.0 / 0.0)
  96 #endif
  97
  98
  99 /* Write x as
 100      x = mantissa * 2^exp
 101    where
 102      If x finite and nonzero: 0.5 <= |mantissa| < 1.0.
 103      If x is zero: mantissa = x, exp = 0.
 104      If x is infinite or NaN: mantissa = x, exp unspecified.
 105    Store exp in *EXPPTR and return mantissa.  */
 106 #if @GNULIB_FREXP@
 107 # if @REPLACE_FREXP@
 108 #  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
 109 #   define frexp rpl_frexp
 110 #  endif
 111 _GL_FUNCDECL_RPL (frexp, double, (double x, int *expptr) _GL_ARG_NONNULL ((2)));
 112 _GL_CXXALIAS_RPL (frexp, double, (double x, int *expptr));
 113 # else
 114 _GL_CXXALIAS_SYS (frexp, double, (double x, int *expptr));
 115 # endif
 116 _GL_CXXALIASWARN (frexp);
 117 #elif defined GNULIB_POSIXCHECK
 118 # undef frexp
 119 /* Assume frexp is always declared.  */
 120 _GL_WARN_ON_USE (frexp, "frexp is unportable - "
 121                  "use gnulib module frexp for portability");
 122 #endif
 123
 124
 125 #if @GNULIB_LOGB@
 126 # if !@HAVE_DECL_LOGB@
 127 _GL_EXTERN_C double logb (double x);
 128 # endif
 129 #elif defined GNULIB_POSIXCHECK
 130 # undef logb
 131 # if HAVE_RAW_DECL_LOGB
 132 _GL_WARN_ON_USE (logb, "logb is unportable - "
 133                  "use gnulib module logb for portability");
 134 # endif
 135 #endif
 136
 137
 138 #if @GNULIB_ACOSL@
 139 # if !@HAVE_ACOSL@ || !@HAVE_DECL_ACOSL@
 140 _GL_FUNCDECL_SYS (acosl, long double, (long double x));
 141 # endif
 142 _GL_CXXALIAS_SYS (acosl, long double, (long double x));
 143 _GL_CXXALIASWARN (acosl);
 144 #elif defined GNULIB_POSIXCHECK
 145 # undef acosl
 146 # if HAVE_RAW_DECL_ACOSL
 147 _GL_WARN_ON_USE (acosl, "acosl is unportable - "
 148                  "use gnulib module mathl for portability");
 149 # endif
 150 #endif
 151
 152
 153 #if @GNULIB_ASINL@
 154 # if !@HAVE_ASINL@ || !@HAVE_DECL_ASINL@
 155 _GL_FUNCDECL_SYS (asinl, long double, (long double x));
 156 # endif
 157 _GL_CXXALIAS_SYS (asinl, long double, (long double x));
 158 _GL_CXXALIASWARN (asinl);
 159 #elif defined GNULIB_POSIXCHECK
 160 # undef asinl
 161 # if HAVE_RAW_DECL_ASINL
 162 _GL_WARN_ON_USE (asinl, "asinl is unportable - "
 163                  "use gnulib module mathl for portability");
 164 # endif
 165 #endif
 166
 167
 168 #if @GNULIB_ATANL@
 169 # if !@HAVE_ATANL@ || !@HAVE_DECL_ATANL@
 170 _GL_FUNCDECL_SYS (atanl, long double, (long double x));
 171 # endif
 172 _GL_CXXALIAS_SYS (atanl, long double, (long double x));
 173 _GL_CXXALIASWARN (atanl);
 174 #elif defined GNULIB_POSIXCHECK
 175 # undef atanl
 176 # if HAVE_RAW_DECL_ATANL
 177 _GL_WARN_ON_USE (atanl, "atanl is unportable - "
 178                  "use gnulib module mathl for portability");
 179 # endif
 180 #endif
 181
 182
 183 #if @GNULIB_CEILF@
 184 # if @REPLACE_CEILF@
 185 #  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
 186 #   define ceilf rpl_ceilf
 187 #  endif
 188 _GL_FUNCDECL_RPL (ceilf, float, (float x));
 189 _GL_CXXALIAS_RPL (ceilf, float, (float x));
 190 # else
 191 #  if !@HAVE_DECL_CEILF@
 192 _GL_FUNCDECL_SYS (ceilf, float, (float x));
 193 #  endif
 194 _GL_CXXALIAS_SYS (ceilf, float, (float x));
 195 # endif
 196 _GL_CXXALIASWARN (ceilf);
 197 #elif defined GNULIB_POSIXCHECK
 198 # undef ceilf
 199 # if HAVE_RAW_DECL_CEILF
 200 _GL_WARN_ON_USE (ceilf, "ceilf is unportable - "
 201                  "use gnulib module ceilf for portability");
 202 # endif
 203 #endif
 204
 205 #if @GNULIB_CEILL@
 206 # if @REPLACE_CEILL@
 207 #  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
 208 #   define ceill rpl_ceill
 209 #  endif
 210 _GL_FUNCDECL_RPL (ceill, long double, (long double x));
 211 _GL_CXXALIAS_RPL (ceill, long double, (long double x));
 212 # else
 213 #  if !@HAVE_DECL_CEILL@
 214 _GL_FUNCDECL_SYS (ceill, long double, (long double x));
 215 #  endif
 216 _GL_CXXALIAS_SYS (ceill, long double, (long double x));
 217 # endif
 218 _GL_CXXALIASWARN (ceill);
 219 #elif defined GNULIB_POSIXCHECK
 220 # undef ceill
 221 # if HAVE_RAW_DECL_CEILL
 222 _GL_WARN_ON_USE (ceill, "ceill is unportable - "
 223                  "use gnulib module ceill for portability");
 224 # endif
 225 #endif
 226
 227
 228 #if @GNULIB_COSL@
 229 # if !@HAVE_COSL@ || !@HAVE_DECL_COSL@
 230 _GL_FUNCDECL_SYS (cosl, long double, (long double x));
 231 # endif
 232 _GL_CXXALIAS_SYS (cosl, long double, (long double x));
 233 _GL_CXXALIASWARN (cosl);
 234 #elif defined GNULIB_POSIXCHECK
 235 # undef cosl
 236 # if HAVE_RAW_DECL_COSL
 237 _GL_WARN_ON_USE (cosl, "cosl is unportable - "
 238                  "use gnulib module mathl for portability");
 239 # endif
 240 #endif
 241
 242
 243 #if @GNULIB_EXPL@
 244 # if !@HAVE_EXPL@ || !@HAVE_DECL_EXPL@
 245 _GL_FUNCDECL_SYS (expl, long double, (long double x));
 246 # endif
 247 _GL_CXXALIAS_SYS (expl, long double, (long double x));
 248 _GL_CXXALIASWARN (expl);
 249 #elif defined GNULIB_POSIXCHECK
 250 # undef expl
 251 # if HAVE_RAW_DECL_EXPL
 252 _GL_WARN_ON_USE (expl, "expl is unportable - "
 253                  "use gnulib module mathl for portability");
 254 # endif
 255 #endif
 256
 257
 258 #if @GNULIB_FLOORF@
 259 # if @REPLACE_FLOORF@
 260 #  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
 261 #   define floorf rpl_floorf
 262 #  endif
 263 _GL_FUNCDECL_RPL (floorf, float, (float x));
 264 _GL_CXXALIAS_RPL (floorf, float, (float x));
 265 #else
 266 #  if !@HAVE_DECL_FLOORF@
 267 _GL_FUNCDECL_SYS (floorf, float, (float x));
 268 #  endif
 269 _GL_CXXALIAS_SYS (floorf, float, (float x));
 270 # endif
 271 _GL_CXXALIASWARN (floorf);
 272 #elif defined GNULIB_POSIXCHECK
 273 # undef floorf
 274 # if HAVE_RAW_DECL_FLOORF
 275 _GL_WARN_ON_USE (floorf, "floorf is unportable - "
 276                  "use gnulib module floorf for portability");
 277 # endif
 278 #endif
 279
 280 #if @GNULIB_FLOORL@
 281 # if @REPLACE_FLOORL@
 282 #  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
 283 #   define floorl rpl_floorl
 284 #  endif
 285 _GL_FUNCDECL_RPL (floorl, long double, (long double x));
 286 _GL_CXXALIAS_RPL (floorl, long double, (long double x));
 287 # else
 288 #  if !@HAVE_DECL_FLOORL@
 289 _GL_FUNCDECL_SYS (floorl, long double, (long double x));
 290 #  endif
 291 _GL_CXXALIAS_SYS (floorl, long double, (long double x));
 292 # endif
 293 _GL_CXXALIASWARN (floorl);
 294 #elif defined GNULIB_POSIXCHECK
 295 # undef floorl
 296 # if HAVE_RAW_DECL_FLOORL
 297 _GL_WARN_ON_USE (floorl, "floorl is unportable - "
 298                  "use gnulib module floorl for portability");
 299 # endif
 300 #endif
 301
 302
 303 /* Write x as
 304      x = mantissa * 2^exp
 305    where
 306      If x finite and nonzero: 0.5 <= |mantissa| < 1.0.
 307      If x is zero: mantissa = x, exp = 0.
 308      If x is infinite or NaN: mantissa = x, exp unspecified.
 309    Store exp in *EXPPTR and return mantissa.  */
 310 #if @GNULIB_FREXPL@ && @REPLACE_FREXPL@
 311 # if !(defined __cplusplus && defined GNULIB_NAMESPACE)
 312 #  define frexpl rpl_frexpl
 313 # endif
 314 _GL_FUNCDECL_RPL (frexpl, long double,
 315                   (long double x, int *expptr) _GL_ARG_NONNULL ((2)));
 316 _GL_CXXALIAS_RPL (frexpl, long double, (long double x, int *expptr));
 317 #else
 318 # if !@HAVE_DECL_FREXPL@
 319 _GL_FUNCDECL_SYS (frexpl, long double,
 320                   (long double x, int *expptr) _GL_ARG_NONNULL ((2)));
 321 # endif
 322 # if @GNULIB_FREXPL@
 323 _GL_CXXALIAS_SYS (frexpl, long double, (long double x, int *expptr));
 324 # endif
 325 #endif
 326 #if @GNULIB_FREXPL@ && !(@REPLACE_FREXPL@ && !@HAVE_DECL_FREXPL@)
 327 _GL_CXXALIASWARN (frexpl);
 328 #endif
 329 #if !@GNULIB_FREXPL@ && defined GNULIB_POSIXCHECK
 330 # undef frexpl
 331 # if HAVE_RAW_DECL_FREXPL
 332 _GL_WARN_ON_USE (frexpl, "frexpl is unportable - "
 333                  "use gnulib module frexpl for portability");
 334 # endif
 335 #endif
 336
 337
 338 /* Return x * 2^exp.  */
 339 #if @GNULIB_LDEXPL@ && @REPLACE_LDEXPL@
 340 # if !(defined __cplusplus && defined GNULIB_NAMESPACE)
 341 #  define ldexpl rpl_ldexpl
 342 # endif
 343 _GL_FUNCDECL_RPL (ldexpl, long double, (long double x, int exp));
 344 _GL_CXXALIAS_RPL (ldexpl, long double, (long double x, int exp));
 345 #else
 346 # if !@HAVE_DECL_LDEXPL@
 347 _GL_FUNCDECL_SYS (ldexpl, long double, (long double x, int exp));
 348 # endif
 349 # if @GNULIB_LDEXPL@
 350 _GL_CXXALIAS_SYS (ldexpl, long double, (long double x, int exp));
 351 # endif
 352 #endif
 353 #if @GNULIB_LDEXPL@
 354 _GL_CXXALIASWARN (ldexpl);
 355 #endif
 356 #if !@GNULIB_LDEXPL@ && defined GNULIB_POSIXCHECK
 357 # undef ldexpl
 358 # if HAVE_RAW_DECL_LDEXPL
 359 _GL_WARN_ON_USE (ldexpl, "ldexpl is unportable - "
 360                  "use gnulib module ldexpl for portability");
 361 # endif
 362 #endif
 363
 364
 365 #if @GNULIB_LOGL@
 366 # if !@HAVE_LOGL@ || !@HAVE_DECL_LOGL@
 367 _GL_FUNCDECL_SYS (logl, long double, (long double x));
 368 # endif
 369 _GL_CXXALIAS_SYS (logl, long double, (long double x));
 370 _GL_CXXALIASWARN (logl);
 371 #elif defined GNULIB_POSIXCHECK
 372 # undef logl
 373 # if HAVE_RAW_DECL_LOGL
 374 _GL_WARN_ON_USE (logl, "logl is unportable - "
 375                  "use gnulib module mathl for portability");
 376 # endif
 377 #endif
 378
 379
 380 #if @GNULIB_ROUNDF@
 381 # if @REPLACE_ROUNDF@
 382 #  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
 383 #   undef roundf
 384 #   define roundf rpl_roundf
 385 #  endif
 386 _GL_FUNCDECL_RPL (roundf, float, (float x));
 387 _GL_CXXALIAS_RPL (roundf, float, (float x));
 388 # else
 389 #  if !@HAVE_DECL_ROUNDF@
 390 _GL_FUNCDECL_SYS (roundf, float, (float x));
 391 #  endif
 392 _GL_CXXALIAS_SYS (roundf, float, (float x));
 393 # endif
 394 _GL_CXXALIASWARN (roundf);
 395 #elif defined GNULIB_POSIXCHECK
 396 # undef roundf
 397 # if HAVE_RAW_DECL_ROUNDF
 398 _GL_WARN_ON_USE (roundf, "roundf is unportable - "
 399                  "use gnulib module roundf for portability");
 400 # endif
 401 #endif
 402
 403 #if @GNULIB_ROUND@
 404 # if @REPLACE_ROUND@
 405 #  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
 406 #   undef round
 407 #   define round rpl_round
 408 #  endif
 409 _GL_FUNCDECL_RPL (round, double, (double x));
 410 _GL_CXXALIAS_RPL (round, double, (double x));
 411 # else
 412 #  if !@HAVE_DECL_ROUND@
 413 _GL_FUNCDECL_SYS (round, double, (double x));
 414 #  endif
 415 _GL_CXXALIAS_SYS (round, double, (double x));
 416 # endif
 417 _GL_CXXALIASWARN (round);
 418 #elif defined GNULIB_POSIXCHECK
 419 # undef round
 420 # if HAVE_RAW_DECL_ROUND
 421 _GL_WARN_ON_USE (round, "round is unportable - "
 422                  "use gnulib module round for portability");
 423 # endif
 424 #endif
 425
 426 #if @GNULIB_ROUNDL@
 427 # if @REPLACE_ROUNDL@
 428 #  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
 429 #   undef roundl
 430 #   define roundl rpl_roundl
 431 #  endif
 432 _GL_FUNCDECL_RPL (roundl, long double, (long double x));
 433 _GL_CXXALIAS_RPL (roundl, long double, (long double x));
 434 # else
 435 #  if !@HAVE_DECL_ROUNDL@
 436 _GL_FUNCDECL_SYS (roundl, long double, (long double x));
 437 #  endif
 438 _GL_CXXALIAS_SYS (roundl, long double, (long double x));
 439 # endif
 440 _GL_CXXALIASWARN (roundl);
 441 #elif defined GNULIB_POSIXCHECK
 442 # undef roundl
 443 # if HAVE_RAW_DECL_ROUNDL
 444 _GL_WARN_ON_USE (roundl, "roundl is unportable - "
 445                  "use gnulib module roundl for portability");
 446 # endif
 447 #endif
 448
 449
 450 #if @GNULIB_SINL@
 451 # if !@HAVE_SINL@ || !@HAVE_DECL_SINL@
 452 _GL_FUNCDECL_SYS (sinl, long double, (long double x));
 453 # endif
 454 _GL_CXXALIAS_SYS (sinl, long double, (long double x));
 455 _GL_CXXALIASWARN (sinl);
 456 #elif defined GNULIB_POSIXCHECK
 457 # undef sinl
 458 # if HAVE_RAW_DECL_SINL
 459 _GL_WARN_ON_USE (sinl, "sinl is unportable - "
 460                  "use gnulib module mathl for portability");
 461 # endif
 462 #endif
 463
 464
 465 #if @GNULIB_SQRTL@
 466 # if !@HAVE_SQRTL@ || !@HAVE_DECL_SQRTL@
 467 _GL_FUNCDECL_SYS (sqrtl, long double, (long double x));
 468 # endif
 469 _GL_CXXALIAS_SYS (sqrtl, long double, (long double x));
 470 _GL_CXXALIASWARN (sqrtl);
 471 #elif defined GNULIB_POSIXCHECK
 472 # undef sqrtl
 473 # if HAVE_RAW_DECL_SQRTL
 474 _GL_WARN_ON_USE (sqrtl, "sqrtl is unportable - "
 475                  "use gnulib module mathl for portability");
 476 # endif
 477 #endif
 478
 479
 480 #if @GNULIB_TANL@
 481 # if !@HAVE_TANL@ || !@HAVE_DECL_TANL@
 482 _GL_FUNCDECL_SYS (tanl, long double, (long double x));
 483 # endif
 484 _GL_CXXALIAS_SYS (tanl, long double, (long double x));
 485 _GL_CXXALIASWARN (tanl);
 486 #elif defined GNULIB_POSIXCHECK
 487 # undef tanl
 488 # if HAVE_RAW_DECL_TANL
 489 _GL_WARN_ON_USE (tanl, "tanl is unportable - "
 490                  "use gnulib module mathl for portability");
 491 # endif
 492 #endif
 493
 494
 495 #if @GNULIB_TRUNCF@
 496 # if !@HAVE_DECL_TRUNCF@
 497 _GL_FUNCDECL_SYS (truncf, float, (float x));
 498 # endif
 499 _GL_CXXALIAS_SYS (truncf, float, (float x));
 500 _GL_CXXALIASWARN (truncf);
 501 #elif defined GNULIB_POSIXCHECK
 502 # undef truncf
 503 # if HAVE_RAW_DECL_TRUNCF
 504 _GL_WARN_ON_USE (truncf, "truncf is unportable - "
 505                  "use gnulib module truncf for portability");
 506 # endif
 507 #endif
 508
 509 #if @GNULIB_TRUNC@
 510 # if !@HAVE_DECL_TRUNC@
 511 _GL_FUNCDECL_SYS (trunc, double, (double x));
 512 # endif
 513 _GL_CXXALIAS_SYS (trunc, double, (double x));
 514 _GL_CXXALIASWARN (trunc);
 515 #elif defined GNULIB_POSIXCHECK
 516 # undef trunc
 517 # if HAVE_RAW_DECL_TRUNC
 518 _GL_WARN_ON_USE (trunc, "trunc is unportable - "
 519                  "use gnulib module trunc for portability");
 520 # endif
 521 #endif
 522
 523 #if @GNULIB_TRUNCL@
 524 # if @REPLACE_TRUNCL@
 525 #  if !(defined __cplusplus && defined GNULIB_NAMESPACE)
 526 #   undef truncl
 527 #   define truncl rpl_truncl
 528 #  endif
 529 _GL_FUNCDECL_RPL (truncl, long double, (long double x));
 530 _GL_CXXALIAS_RPL (truncl, long double, (long double x));
 531 # else
 532 #  if !@HAVE_DECL_TRUNCL@
 533 _GL_FUNCDECL_SYS (truncl, long double, (long double x));
 534 #  endif
 535 _GL_CXXALIAS_SYS (truncl, long double, (long double x));
 536 # endif
 537 _GL_CXXALIASWARN (truncl);
 538 #elif defined GNULIB_POSIXCHECK
 539 # undef truncl
 540 # if HAVE_RAW_DECL_TRUNCL
 541 _GL_WARN_ON_USE (truncl, "truncl is unportable - "
 542                  "use gnulib module truncl for portability");
 543 # endif
 544 #endif
 545
 546
 547 #if @GNULIB_ISFINITE@
 548 # if @REPLACE_ISFINITE@
 549 _GL_EXTERN_C int gl_isfinitef (float x);
 550 _GL_EXTERN_C int gl_isfinited (double x);
 551 _GL_EXTERN_C int gl_isfinitel (long double x);
 552 #  undef isfinite
 553 #  define isfinite(x) \
 554    (sizeof (x) == sizeof (long double) ? gl_isfinitel (x) : \
 555     sizeof (x) == sizeof (double) ? gl_isfinited (x) : \
 556     gl_isfinitef (x))
 557 # endif
 558 #elif defined GNULIB_POSIXCHECK
 559 # if defined isfinite
 560 _GL_WARN_REAL_FLOATING_DECL (isfinite);
 561 #  undef isfinite
 562 #  define isfinite(x) _GL_WARN_REAL_FLOATING_IMPL (isfinite, x)
 563 # endif
 564 #endif
 565
 566
 567 #if @GNULIB_ISINF@
 568 # if @REPLACE_ISINF@
 569 _GL_EXTERN_C int gl_isinff (float x);
 570 _GL_EXTERN_C int gl_isinfd (double x);
 571 _GL_EXTERN_C int gl_isinfl (long double x);
 572 #  undef isinf
 573 #  define isinf(x) \
 574    (sizeof (x) == sizeof (long double) ? gl_isinfl (x) : \
 575     sizeof (x) == sizeof (double) ? gl_isinfd (x) : \
 576     gl_isinff (x))
 577 # endif
 578 #elif defined GNULIB_POSIXCHECK
 579 # if defined isinf
 580 _GL_WARN_REAL_FLOATING_DECL (isinf);
 581 #  undef isinf
 582 #  define isinf(x) _GL_WARN_REAL_FLOATING_IMPL (isinf, x)
 583 # endif
 584 #endif
 585
 586
 587 #if @GNULIB_ISNANF@
 588 /* Test for NaN for 'float' numbers.  */
 589 # if @HAVE_ISNANF@
 590 /* The original <math.h> included above provides a declaration of isnan macro
 591    or (older) isnanf function.  */
 592 #  if __GNUC__ >= 4
 593     /* GCC 4.0 and newer provides three built-ins for isnan.  */
 594 #   undef isnanf
 595 #   define isnanf(x) __builtin_isnanf ((float)(x))
 596 #  elif defined isnan
 597 #   undef isnanf
 598 #   define isnanf(x) isnan ((float)(x))
 599 #  endif
 600 # else
 601 /* Test whether X is a NaN.  */
 602 #  undef isnanf
 603 #  define isnanf rpl_isnanf
 604 _GL_EXTERN_C int isnanf (float x);
 605 # endif
 606 #endif
 607
 608 #if @GNULIB_ISNAND@
 609 /* Test for NaN for 'double' numbers.
 610    This function is a gnulib extension, unlike isnan() which applied only
 611    to 'double' numbers earlier but now is a type-generic macro.  */
 612 # if @HAVE_ISNAND@
 613 /* The original <math.h> included above provides a declaration of isnan
 614    macro.  */
 615 #  if __GNUC__ >= 4
 616     /* GCC 4.0 and newer provides three built-ins for isnan.  */
 617 #   undef isnand
 618 #   define isnand(x) __builtin_isnan ((double)(x))
 619 #  else
 620 #   undef isnand
 621 #   define isnand(x) isnan ((double)(x))
 622 #  endif
 623 # else
 624 /* Test whether X is a NaN.  */
 625 #  undef isnand
 626 #  define isnand rpl_isnand
 627 _GL_EXTERN_C int isnand (double x);
 628 # endif
 629 #endif
 630
 631 #if @GNULIB_ISNANL@
 632 /* Test for NaN for 'long double' numbers.  */
 633 # if @HAVE_ISNANL@
 634 /* The original <math.h> included above provides a declaration of isnan
 635    macro or (older) isnanl function.  */
 636 #  if __GNUC__ >= 4
 637     /* GCC 4.0 and newer provides three built-ins for isnan.  */
 638 #   undef isnanl
 639 #   define isnanl(x) __builtin_isnanl ((long double)(x))
 640 #  elif defined isnan
 641 #   undef isnanl
 642 #   define isnanl(x) isnan ((long double)(x))
 643 #  endif
 644 # else
 645 /* Test whether X is a NaN.  */
 646 #  undef isnanl
 647 #  define isnanl rpl_isnanl
 648 _GL_EXTERN_C int isnanl (long double x);
 649 # endif
 650 #endif
 651
 652 /* This must come *after* the snippets for GNULIB_ISNANF and GNULIB_ISNANL!  */
 653 #if @GNULIB_ISNAN@
 654 # if @REPLACE_ISNAN@
 655 /* We can't just use the isnanf macro (e.g.) as exposed by
 656    isnanf.h (e.g.) here, because those may end up being macros
 657    that recursively expand back to isnan.  So use the gnulib
 658    replacements for them directly. */
 659 #  if @HAVE_ISNANF@ && __GNUC__ >= 4
 660 #   define gl_isnan_f(x) __builtin_isnan ((float)(x))
 661 #  else
 662 _GL_EXTERN_C int rpl_isnanf (float x);
 663 #   define gl_isnan_f(x) rpl_isnanf (x)
 664 #  endif
 665 #  if @HAVE_ISNAND@ && __GNUC__ >= 4
 666 #   define gl_isnan_d(x) __builtin_isnan ((double)(x))
 667 #  else
 668 _GL_EXTERN_C int rpl_isnand (double x);
 669 #   define gl_isnan_d(x) rpl_isnand (x)
 670 #  endif
 671 #  if @HAVE_ISNANL@ && __GNUC__ >= 4
 672 #   define gl_isnan_l(x) __builtin_isnan ((long double)(x))
 673 #  else
 674 _GL_EXTERN_C int rpl_isnanl (long double x);
 675 #   define gl_isnan_l(x) rpl_isnanl (x)
 676 #  endif
 677 #  undef isnan
 678 #  define isnan(x) \
 679    (sizeof (x) == sizeof (long double) ? gl_isnan_l (x) : \
 680     sizeof (x) == sizeof (double) ? gl_isnan_d (x) : \
 681     gl_isnan_f (x))
 682 # endif
 683 /* Ensure isnan is a macro.  */
 684 # ifndef isnan
 685 #  define isnan isnan
 686 # endif
 687 #elif defined GNULIB_POSIXCHECK
 688 # if defined isnan
 689 _GL_WARN_REAL_FLOATING_DECL (isnan);
 690 #  undef isnan
 691 #  define isnan(x) _GL_WARN_REAL_FLOATING_IMPL (isnan, x)
 692 # endif
 693 #endif
 694
 695
 696 #if @GNULIB_SIGNBIT@
 697 # if @REPLACE_SIGNBIT_USING_GCC@
 698 #  undef signbit
 699    /* GCC 4.0 and newer provides three built-ins for signbit.  */
 700 #  define signbit(x) \
 701    (sizeof (x) == sizeof (long double) ? __builtin_signbitl (x) : \
 702     sizeof (x) == sizeof (double) ? __builtin_signbit (x) : \
 703     __builtin_signbitf (x))
 704 # endif
 705 # if @REPLACE_SIGNBIT@
 706 #  undef signbit
 707 _GL_EXTERN_C int gl_signbitf (float arg);
 708 _GL_EXTERN_C int gl_signbitd (double arg);
 709 _GL_EXTERN_C int gl_signbitl (long double arg);
 710 #  if __GNUC__ >= 2 && !__STRICT_ANSI__
 711 #   define _GL_NUM_UINT_WORDS(type) \
 712       ((sizeof (type) + sizeof (unsigned int) - 1) / sizeof (unsigned int))
 713 #   if defined FLT_SIGNBIT_WORD && defined FLT_SIGNBIT_BIT && !defined gl_signbitf
 714 #    define gl_signbitf_OPTIMIZED_MACRO
 715 #    define gl_signbitf(arg) \
 716        ({ union { float _value;                                         \
 717                   unsigned int _word[_GL_NUM_UINT_WORDS (float)];       \
 718                 } _m;                                                   \
 719           _m._value = (arg);                                            \
 720           (_m._word[FLT_SIGNBIT_WORD] >> FLT_SIGNBIT_BIT) & 1;          \
 721         })
 722 #   endif
 723 #   if defined DBL_SIGNBIT_WORD && defined DBL_SIGNBIT_BIT && !defined gl_signbitd
 724 #    define gl_signbitd_OPTIMIZED_MACRO
 725 #    define gl_signbitd(arg) \
 726        ({ union { double _value;                                        \
 727                   unsigned int _word[_GL_NUM_UINT_WORDS (double)];      \
 728                 } _m;                                                   \
 729           _m._value = (arg);                                            \
 730           (_m._word[DBL_SIGNBIT_WORD] >> DBL_SIGNBIT_BIT) & 1;          \
 731         })
 732 #   endif
 733 #   if defined LDBL_SIGNBIT_WORD && defined LDBL_SIGNBIT_BIT && !defined gl_signbitl
 734 #    define gl_signbitl_OPTIMIZED_MACRO
 735 #    define gl_signbitl(arg) \
 736        ({ union { long double _value;                                   \
 737                   unsigned int _word[_GL_NUM_UINT_WORDS (long double)]; \
 738                 } _m;                                                   \
 739           _m._value = (arg);                                            \
 740           (_m._word[LDBL_SIGNBIT_WORD] >> LDBL_SIGNBIT_BIT) & 1;        \
 741         })
 742 #   endif
 743 #  endif
 744 #  define signbit(x) \
 745    (sizeof (x) == sizeof (long double) ? gl_signbitl (x) : \
 746     sizeof (x) == sizeof (double) ? gl_signbitd (x) : \
 747     gl_signbitf (x))
 748 # endif
 749 #elif defined GNULIB_POSIXCHECK
 750 # if defined signbit
 751 _GL_WARN_REAL_FLOATING_DECL (signbit);
 752 #  undef signbit
 753 #  define signbit(x) _GL_WARN_REAL_FLOATING_IMPL (signbit, x)
 754 # endif
 755 #endif
 756
 757
 758 #endif /* _GL_MATH_H */
 759 #endif /* _GL_MATH_H */