math/tgmath.h

   1 /* Copyright (C) 1997, 1998, 1999, 2000, 2001, 2003, 2004, 2005, 2007
   2    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 /*
  20  *      ISO C99 Standard: 7.22 Type-generic math        <tgmath.h>
  21  */
  22
  23 #ifndef _TGMATH_H
  24 #define _TGMATH_H       1
  25
  26 /* Include the needed headers.  */
  27 #include <math.h>
  28 #include <complex.h>
  29
  30
  31 /* Since `complex' is currently not really implemented in most C compilers
  32    and if it is implemented, the implementations differ.  This makes it
  33    quite difficult to write a generic implementation of this header.  We
  34    do not try this for now and instead concentrate only on GNU CC.  Once
  35    we have more information support for other compilers might follow.  */
  36
  37 #if __GNUC_PREREQ (2, 7)
  38
  39 # ifdef __NO_LONG_DOUBLE_MATH
  40 #  define __tgml(fct) fct
  41 # else
  42 #  define __tgml(fct) fct ## l
  43 # endif
  44
  45 /* This is ugly but unless gcc gets appropriate builtins we have to do
  46    something like this.  Don't ask how it works.  */
  47
  48 /* 1 if 'type' is a floating type, 0 if 'type' is an integer type.
  49    Allows for _Bool.  Expands to an integer constant expression.  */
  50 # if __GNUC_PREREQ (3, 1)
  51 #  define __floating_type(type) \
  52   (__builtin_classify_type ((type) 0) == 8 \
  53    || (__builtin_classify_type ((type) 0) == 9 \
  54        && __builtin_classify_type (__real__ ((type) 0)) == 8))
  55 # else
  56 #  define __floating_type(type) (((type) 0.25) && ((type) 0.25 - 1))
  57 # endif
  58
  59 /* The tgmath real type for T, where E is 0 if T is an integer type and
  60    1 for a floating type.  */
  61 # define __tgmath_real_type_sub(T, E) \
  62   __typeof__ (*(0 ? (__typeof__ (0 ? (double *) 0 : (void *) (E))) 0          \
  63                   : (__typeof__ (0 ? (T *) 0 : (void *) (!(E)))) 0))
  64
  65 /* The tgmath real type of EXPR.  */
  66 # define __tgmath_real_type(expr) \
  67   __tgmath_real_type_sub (__typeof__ ((__typeof__ (expr)) 0),                 \
  68                           __floating_type (__typeof__ (expr)))
  69
  70
  71 /* We have two kinds of generic macros: to support functions which are
  72    only defined on real valued parameters and those which are defined
  73    for complex functions as well.  */
  74 # define __TGMATH_UNARY_REAL_ONLY(Val, Fct) \
  75      (__extension__ ((sizeof (Val) == sizeof (double)                         \
  76                       || __builtin_classify_type (Val) != 8)                  \
  77                      ? (__tgmath_real_type (Val)) Fct (Val)                   \
  78                      : (sizeof (Val) == sizeof (float))                       \
  79                      ? (__tgmath_real_type (Val)) Fct##f (Val)                \
  80                      : (__tgmath_real_type (Val)) __tgml(Fct) (Val)))
  81
  82 # define __TGMATH_UNARY_REAL_RET_ONLY(Val, RetType, Fct) \
  83      (__extension__ ((sizeof (Val) == sizeof (double)                         \
  84                       || __builtin_classify_type (Val) != 8)                  \
  85                      ? (RetType) Fct (Val)                                    \
  86                      : (sizeof (Val) == sizeof (float))                       \
  87                      ? (RetType) Fct##f (Val)                                 \
  88                      : (RetType) __tgml(Fct) (Val)))
  89
  90 # define __TGMATH_BINARY_FIRST_REAL_ONLY(Val1, Val2, Fct) \
  91      (__extension__ ((sizeof (Val1) == sizeof (double)                        \
  92                       || __builtin_classify_type (Val1) != 8)                 \
  93                      ? (__tgmath_real_type (Val1)) Fct (Val1, Val2)           \
  94                      : (sizeof (Val1) == sizeof (float))                      \
  95                      ? (__tgmath_real_type (Val1)) Fct##f (Val1, Val2)        \
  96                      : (__tgmath_real_type (Val1)) __tgml(Fct) (Val1, Val2)))
  97
  98 # define __TGMATH_BINARY_REAL_ONLY(Val1, Val2, Fct) \
  99      (__extension__ (((sizeof (Val1) > sizeof (double)                        \
 100                        || sizeof (Val2) > sizeof (double))                    \
 101                       && __builtin_classify_type ((Val1) + (Val2)) == 8)      \
 102                      ? (__typeof ((__tgmath_real_type (Val1)) 0               \
 103                                    + (__tgmath_real_type (Val2)) 0))          \
 104                        __tgml(Fct) (Val1, Val2)                               \
 105                      : (sizeof (Val1) == sizeof (double)                      \
 106                         || sizeof (Val2) == sizeof (double)                   \
 107                         || __builtin_classify_type (Val1) != 8                \
 108                         || __builtin_classify_type (Val2) != 8)               \
 109                      ? (__typeof ((__tgmath_real_type (Val1)) 0               \
 110                                    + (__tgmath_real_type (Val2)) 0))          \
 111                        Fct (Val1, Val2)                                       \
 112                      : (__typeof ((__tgmath_real_type (Val1)) 0               \
 113                                    + (__tgmath_real_type (Val2)) 0))          \
 114                        Fct##f (Val1, Val2)))
 115
 116 # define __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY(Val1, Val2, Val3, Fct) \
 117      (__extension__ (((sizeof (Val1) > sizeof (double)                        \
 118                        || sizeof (Val2) > sizeof (double))                    \
 119                       && __builtin_classify_type ((Val1) + (Val2)) == 8)      \
 120                      ? (__typeof ((__tgmath_real_type (Val1)) 0               \
 121                                    + (__tgmath_real_type (Val2)) 0))          \
 122                        __tgml(Fct) (Val1, Val2, Val3)                         \
 123                      : (sizeof (Val1) == sizeof (double)                      \
 124                         || sizeof (Val2) == sizeof (double)                   \
 125                         || __builtin_classify_type (Val1) != 8                \
 126                         || __builtin_classify_type (Val2) != 8)               \
 127                      ? (__typeof ((__tgmath_real_type (Val1)) 0               \
 128                                    + (__tgmath_real_type (Val2)) 0))          \
 129                        Fct (Val1, Val2, Val3)                                 \
 130                      : (__typeof ((__tgmath_real_type (Val1)) 0               \
 131                                    + (__tgmath_real_type (Val2)) 0))          \
 132                        Fct##f (Val1, Val2, Val3)))
 133
 134 # define __TGMATH_TERNARY_REAL_ONLY(Val1, Val2, Val3, Fct) \
 135      (__extension__ (((sizeof (Val1) > sizeof (double)                        \
 136                        || sizeof (Val2) > sizeof (double)                     \
 137                        || sizeof (Val3) > sizeof (double))                    \
 138                       && __builtin_classify_type ((Val1) + (Val2) + (Val3))   \
 139                          == 8)                                                \
 140                      ? (__typeof ((__tgmath_real_type (Val1)) 0               \
 141                                    + (__tgmath_real_type (Val2)) 0            \
 142                                    + (__tgmath_real_type (Val3)) 0))          \
 143                        __tgml(Fct) (Val1, Val2, Val3)                         \
 144                      : (sizeof (Val1) == sizeof (double)                      \
 145                         || sizeof (Val2) == sizeof (double)                   \
 146                         || sizeof (Val3) == sizeof (double)                   \
 147                         || __builtin_classify_type (Val1) != 8                \
 148                         || __builtin_classify_type (Val2) != 8                \
 149                         || __builtin_classify_type (Val3) != 8)               \
 150                      ? (__typeof ((__tgmath_real_type (Val1)) 0               \
 151                                    + (__tgmath_real_type (Val2)) 0            \
 152                                    + (__tgmath_real_type (Val3)) 0))          \
 153                        Fct (Val1, Val2, Val3)                                 \
 154                      : (__typeof ((__tgmath_real_type (Val1)) 0               \
 155                                    + (__tgmath_real_type (Val2)) 0            \
 156                                    + (__tgmath_real_type (Val3)) 0))          \
 157                        Fct##f (Val1, Val2, Val3)))
 158
 159 /* XXX This definition has to be changed as soon as the compiler understands
 160    the imaginary keyword.  */
 161 # define __TGMATH_UNARY_REAL_IMAG(Val, Fct, Cfct) \
 162      (__extension__ ((sizeof (__real__ (Val)) == sizeof (double)              \
 163                       || __builtin_classify_type (__real__ (Val)) != 8)       \
 164                      ? ((sizeof (__real__ (Val)) == sizeof (Val))             \
 165                         ? (__tgmath_real_type (Val)) Fct (Val)                \
 166                         : (__tgmath_real_type (Val)) Cfct (Val))              \
 167                      : (sizeof (__real__ (Val)) == sizeof (float))            \
 168                      ? ((sizeof (__real__ (Val)) == sizeof (Val))             \
 169                         ? (__tgmath_real_type (Val)) Fct##f (Val)             \
 170                         : (__tgmath_real_type (Val)) Cfct##f (Val))           \
 171                      : ((sizeof (__real__ (Val)) == sizeof (Val))             \
 172                         ? (__tgmath_real_type (Val)) __tgml(Fct) (Val)        \
 173                         : (__tgmath_real_type (Val)) __tgml(Cfct) (Val))))
 174
 175 # define __TGMATH_UNARY_IMAG(Val, Cfct) \
 176      (__extension__ ((sizeof (__real__ (Val)) == sizeof (double)              \
 177                       || __builtin_classify_type (__real__ (Val)) != 8)       \
 178                      ? (__typeof__ ((__tgmath_real_type (Val)) 0              \
 179                                     + _Complex_I)) Cfct (Val)                 \
 180                      : (sizeof (__real__ (Val)) == sizeof (float))            \
 181                      ? (__typeof__ ((__tgmath_real_type (Val)) 0              \
 182                                     + _Complex_I)) Cfct##f (Val)              \
 183                      : (__typeof__ ((__tgmath_real_type (Val)) 0              \
 184                                     + _Complex_I)) __tgml(Cfct) (Val)))
 185
 186 /* XXX This definition has to be changed as soon as the compiler understands
 187    the imaginary keyword.  */
 188 # define __TGMATH_UNARY_REAL_IMAG_RET_REAL(Val, Fct, Cfct) \
 189      (__extension__ ((sizeof (__real__ (Val)) == sizeof (double)              \
 190                       || __builtin_classify_type (__real__ (Val)) != 8)       \
 191                      ? ((sizeof (__real__ (Val)) == sizeof (Val))             \
 192                         ? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
 193                           Fct (Val)                                           \
 194                         : (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
 195                           Cfct (Val))                                         \
 196                      : (sizeof (__real__ (Val)) == sizeof (float))            \
 197                      ? ((sizeof (__real__ (Val)) == sizeof (Val))             \
 198                         ? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
 199                           Fct##f (Val)                                        \
 200                         : (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
 201                           Cfct##f (Val))                                      \
 202                      : ((sizeof (__real__ (Val)) == sizeof (Val))             \
 203                         ? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
 204                           __tgml(Fct) (Val)                                   \
 205                         : (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
 206                           __tgml(Cfct) (Val))))
 207
 208 /* XXX This definition has to be changed as soon as the compiler understands
 209    the imaginary keyword.  */
 210 # define __TGMATH_BINARY_REAL_IMAG(Val1, Val2, Fct, Cfct) \
 211      (__extension__ (((sizeof (__real__ (Val1)) > sizeof (double)             \
 212                        || sizeof (__real__ (Val2)) > sizeof (double))         \
 213                       && __builtin_classify_type (__real__ (Val1)             \
 214                                                   + __real__ (Val2)) == 8)    \
 215                      ? ((sizeof (__real__ (Val1)) == sizeof (Val1)            \
 216                          && sizeof (__real__ (Val2)) == sizeof (Val2))        \
 217                         ? (__typeof ((__tgmath_real_type (Val1)) 0            \
 218                                    + (__tgmath_real_type (Val2)) 0))          \
 219                           __tgml(Fct) (Val1, Val2)                            \
 220                         : (__typeof ((__tgmath_real_type (Val1)) 0            \
 221                                    + (__tgmath_real_type (Val2)) 0))          \
 222                           __tgml(Cfct) (Val1, Val2))                          \
 223                      : (sizeof (__real__ (Val1)) == sizeof (double)           \
 224                         || sizeof (__real__ (Val2)) == sizeof (double)        \
 225                         || __builtin_classify_type (__real__ (Val1)) != 8     \
 226                         || __builtin_classify_type (__real__ (Val2)) != 8)    \
 227                      ? ((sizeof (__real__ (Val1)) == sizeof (Val1)            \
 228                          && sizeof (__real__ (Val2)) == sizeof (Val2))        \
 229                         ? (__typeof ((__tgmath_real_type (Val1)) 0            \
 230                                    + (__tgmath_real_type (Val2)) 0))          \
 231                           Fct (Val1, Val2)                                    \
 232                         : (__typeof ((__tgmath_real_type (Val1)) 0            \
 233                                    + (__tgmath_real_type (Val2)) 0))          \
 234                           Cfct (Val1, Val2))                                  \
 235                      : ((sizeof (__real__ (Val1)) == sizeof (Val1)            \
 236                          && sizeof (__real__ (Val2)) == sizeof (Val2))        \
 237                         ? (__typeof ((__tgmath_real_type (Val1)) 0            \
 238                                    + (__tgmath_real_type (Val2)) 0))          \
 239                           Fct##f (Val1, Val2)                                 \
 240                         : (__typeof ((__tgmath_real_type (Val1)) 0            \
 241                                    + (__tgmath_real_type (Val2)) 0))          \
 242                           Cfct##f (Val1, Val2))))
 243 #else
 244 # error "Unsupported compiler; you cannot use <tgmath.h>"
 245 #endif
 246
 247
 248 /* Unary functions defined for real and complex values.  */
 249
 250
 251 /* Trigonometric functions.  */
 252
 253 /* Arc cosine of X.  */
 254 #define acos(Val) __TGMATH_UNARY_REAL_IMAG (Val, acos, cacos)
 255 /* Arc sine of X.  */
 256 #define asin(Val) __TGMATH_UNARY_REAL_IMAG (Val, asin, casin)
 257 /* Arc tangent of X.  */
 258 #define atan(Val) __TGMATH_UNARY_REAL_IMAG (Val, atan, catan)
 259 /* Arc tangent of Y/X.  */
 260 #define atan2(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, atan2)
 261
 262 /* Cosine of X.  */
 263 #define cos(Val) __TGMATH_UNARY_REAL_IMAG (Val, cos, ccos)
 264 /* Sine of X.  */
 265 #define sin(Val) __TGMATH_UNARY_REAL_IMAG (Val, sin, csin)
 266 /* Tangent of X.  */
 267 #define tan(Val) __TGMATH_UNARY_REAL_IMAG (Val, tan, ctan)
 268
 269
 270 /* Hyperbolic functions.  */
 271
 272 /* Hyperbolic arc cosine of X.  */
 273 #define acosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, acosh, cacosh)
 274 /* Hyperbolic arc sine of X.  */
 275 #define asinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, asinh, casinh)
 276 /* Hyperbolic arc tangent of X.  */
 277 #define atanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, atanh, catanh)
 278
 279 /* Hyperbolic cosine of X.  */
 280 #define cosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, cosh, ccosh)
 281 /* Hyperbolic sine of X.  */
 282 #define sinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, sinh, csinh)
 283 /* Hyperbolic tangent of X.  */
 284 #define tanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, tanh, ctanh)
 285
 286
 287 /* Exponential and logarithmic functions.  */
 288
 289 /* Exponential function of X.  */
 290 #define exp(Val) __TGMATH_UNARY_REAL_IMAG (Val, exp, cexp)
 291
 292 /* Break VALUE into a normalized fraction and an integral power of 2.  */
 293 #define frexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, frexp)
 294
 295 /* X times (two to the EXP power).  */
 296 #define ldexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, ldexp)
 297
 298 /* Natural logarithm of X.  */
 299 #define log(Val) __TGMATH_UNARY_REAL_IMAG (Val, log, clog)
 300
 301 /* Base-ten logarithm of X.  */
 302 #ifdef __USE_GNU
 303 # define log10(Val) __TGMATH_UNARY_REAL_IMAG (Val, log10, __clog10)
 304 #else
 305 # define log10(Val) __TGMATH_UNARY_REAL_ONLY (Val, log10)
 306 #endif
 307
 308 /* Return exp(X) - 1.  */
 309 #define expm1(Val) __TGMATH_UNARY_REAL_ONLY (Val, expm1)
 310
 311 /* Return log(1 + X).  */
 312 #define log1p(Val) __TGMATH_UNARY_REAL_ONLY (Val, log1p)
 313
 314 /* Return the base 2 signed integral exponent of X.  */
 315 #define logb(Val) __TGMATH_UNARY_REAL_ONLY (Val, logb)
 316
 317 /* Compute base-2 exponential of X.  */
 318 #define exp2(Val) __TGMATH_UNARY_REAL_ONLY (Val, exp2)
 319
 320 /* Compute base-2 logarithm of X.  */
 321 #define log2(Val) __TGMATH_UNARY_REAL_ONLY (Val, log2)
 322
 323
 324 /* Power functions.  */
 325
 326 /* Return X to the Y power.  */
 327 #define pow(Val1, Val2) __TGMATH_BINARY_REAL_IMAG (Val1, Val2, pow, cpow)
 328
 329 /* Return the square root of X.  */
 330 #define sqrt(Val) __TGMATH_UNARY_REAL_IMAG (Val, sqrt, csqrt)
 331
 332 /* Return `sqrt(X*X + Y*Y)'.  */
 333 #define hypot(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, hypot)
 334
 335 /* Return the cube root of X.  */
 336 #define cbrt(Val) __TGMATH_UNARY_REAL_ONLY (Val, cbrt)
 337
 338
 339 /* Nearest integer, absolute value, and remainder functions.  */
 340
 341 /* Smallest integral value not less than X.  */
 342 #define ceil(Val) __TGMATH_UNARY_REAL_ONLY (Val, ceil)
 343
 344 /* Absolute value of X.  */
 345 #define fabs(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, fabs, cabs)
 346
 347 /* Largest integer not greater than X.  */
 348 #define floor(Val) __TGMATH_UNARY_REAL_ONLY (Val, floor)
 349
 350 /* Floating-point modulo remainder of X/Y.  */
 351 #define fmod(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmod)
 352
 353 /* Round X to integral valuein floating-point format using current
 354    rounding direction, but do not raise inexact exception.  */
 355 #define nearbyint(Val) __TGMATH_UNARY_REAL_ONLY (Val, nearbyint)
 356
 357 /* Round X to nearest integral value, rounding halfway cases away from
 358    zero.  */
 359 #define round(Val) __TGMATH_UNARY_REAL_ONLY (Val, round)
 360
 361 /* Round X to the integral value in floating-point format nearest but
 362    not larger in magnitude.  */
 363 #define trunc(Val) __TGMATH_UNARY_REAL_ONLY (Val, trunc)
 364
 365 /* Compute remainder of X and Y and put in *QUO a value with sign of x/y
 366    and magnitude congruent `mod 2^n' to the magnitude of the integral
 367    quotient x/y, with n >= 3.  */
 368 #define remquo(Val1, Val2, Val3) \
 369      __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY (Val1, Val2, Val3, remquo)
 370
 371 /* Round X to nearest integral value according to current rounding
 372    direction.  */
 373 #define lrint(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long int, lrint)
 374 #define llrint(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long long int, llrint)
 375
 376 /* Round X to nearest integral value, rounding halfway cases away from
 377    zero.  */
 378 #define lround(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long int, lround)
 379 #define llround(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long long int, llround)
 380
 381
 382 /* Return X with its signed changed to Y's.  */
 383 #define copysign(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, copysign)
 384
 385 /* Error and gamma functions.  */
 386 #define erf(Val) __TGMATH_UNARY_REAL_ONLY (Val, erf)
 387 #define erfc(Val) __TGMATH_UNARY_REAL_ONLY (Val, erfc)
 388 #define tgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, tgamma)
 389 #define lgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, lgamma)
 390
 391
 392 /* Return the integer nearest X in the direction of the
 393    prevailing rounding mode.  */
 394 #define rint(Val) __TGMATH_UNARY_REAL_ONLY (Val, rint)
 395
 396 /* Return X + epsilon if X < Y, X - epsilon if X > Y.  */
 397 #define nextafter(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, nextafter)
 398 #define nexttoward(Val1, Val2) \
 399      __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, nexttoward)
 400
 401 /* Return the remainder of integer divison X / Y with infinite precision.  */
 402 #define remainder(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, remainder)
 403
 404 /* Return X times (2 to the Nth power).  */
 405 #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED
 406 # define scalb(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, scalb)
 407 #endif
 408
 409 /* Return X times (2 to the Nth power).  */
 410 #define scalbn(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbn)
 411
 412 /* Return X times (2 to the Nth power).  */
 413 #define scalbln(Val1, Val2) \
 414      __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbln)
 415
 416 /* Return the binary exponent of X, which must be nonzero.  */
 417 #define ilogb(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, int, ilogb)
 418
 419
 420 /* Return positive difference between X and Y.  */
 421 #define fdim(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fdim)
 422
 423 /* Return maximum numeric value from X and Y.  */
 424 #define fmax(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmax)
 425
 426 /* Return minimum numeric value from X and Y.  */
 427 #define fmin(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmin)
 428
 429
 430 /* Multiply-add function computed as a ternary operation.  */
 431 #define fma(Val1, Val2, Val3) \
 432      __TGMATH_TERNARY_REAL_ONLY (Val1, Val2, Val3, fma)
 433
 434
 435 /* Absolute value, conjugates, and projection.  */
 436
 437 /* Argument value of Z.  */
 438 #define carg(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, carg, carg)
 439
 440 /* Complex conjugate of Z.  */
 441 #define conj(Val) __TGMATH_UNARY_IMAG (Val, conj)
 442
 443 /* Projection of Z onto the Riemann sphere.  */
 444 #define cproj(Val) __TGMATH_UNARY_IMAG (Val, cproj)
 445
 446
 447 /* Decomposing complex values.  */
 448
 449 /* Imaginary part of Z.  */
 450 #define cimag(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, cimag, cimag)
 451
 452 /* Real part of Z.  */
 453 #define creal(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, creal, creal)
 454
 455 #endif /* tgmath.h */