math/tgmath.h

   1 /* Copyright (C) 1997-2013 Free Software Foundation, Inc.
   2    This file is part of the GNU C Library.
   3
   4    The GNU C Library is free software; you can redistribute it and/or
   5    modify it under the terms of the GNU Lesser General Public
   6    License as published by the Free Software Foundation; either
   7    version 2.1 of the License, or (at your option) any later version.
   8
   9    The GNU C Library is distributed in the hope that it will be useful,
  10    but WITHOUT ANY WARRANTY; without even the implied warranty of
  11    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  12    Lesser General Public License for more details.
  13
  14    You should have received a copy of the GNU Lesser General Public
  15    License along with the GNU C Library; if not, see
  16    <http://www.gnu.org/licenses/>.  */
  17
  18 /*
  19  *      ISO C99 Standard: 7.22 Type-generic math        <tgmath.h>
  20  */
  21
  22 #ifndef _TGMATH_H
  23 #define _TGMATH_H       1
  24
  25 /* Include the needed headers.  */
  26 #include <math.h>
  27 #include <complex.h>
  28
  29
  30 /* Since `complex' is currently not really implemented in most C compilers
  31    and if it is implemented, the implementations differ.  This makes it
  32    quite difficult to write a generic implementation of this header.  We
  33    do not try this for now and instead concentrate only on GNU CC.  Once
  34    we have more information support for other compilers might follow.  */
  35
  36 #if __GNUC_PREREQ (2, 7)
  37
  38 # ifdef __NO_LONG_DOUBLE_MATH
  39 #  define __tgml(fct) fct
  40 # else
  41 #  define __tgml(fct) fct ## l
  42 # endif
  43
  44 /* This is ugly but unless gcc gets appropriate builtins we have to do
  45    something like this.  Don't ask how it works.  */
  46
  47 /* 1 if 'type' is a floating type, 0 if 'type' is an integer type.
  48    Allows for _Bool.  Expands to an integer constant expression.  */
  49 # if __GNUC_PREREQ (3, 1)
  50 #  define __floating_type(type) \
  51   (__builtin_classify_type ((type) 0) == 8 \
  52    || (__builtin_classify_type ((type) 0) == 9 \
  53        && __builtin_classify_type (__real__ ((type) 0)) == 8))
  54 # else
  55 #  define __floating_type(type) (((type) 0.25) && ((type) 0.25 - 1))
  56 # endif
  57
  58 /* The tgmath real type for T, where E is 0 if T is an integer type and
  59    1 for a floating type.  */
  60 # define __tgmath_real_type_sub(T, E) \
  61   __typeof__ (*(0 ? (__typeof__ (0 ? (double *) 0 : (void *) (E))) 0          \
  62                   : (__typeof__ (0 ? (T *) 0 : (void *) (!(E)))) 0))
  63
  64 /* The tgmath real type of EXPR.  */
  65 # define __tgmath_real_type(expr) \
  66   __tgmath_real_type_sub (__typeof__ ((__typeof__ (expr)) 0),                 \
  67                           __floating_type (__typeof__ (expr)))
  68
  69
  70 /* We have two kinds of generic macros: to support functions which are
  71    only defined on real valued parameters and those which are defined
  72    for complex functions as well.  */
  73 # define __TGMATH_UNARY_REAL_ONLY(Val, Fct) \
  74      (__extension__ ((sizeof (Val) == sizeof (double)                         \
  75                       || __builtin_classify_type (Val) != 8)                  \
  76                      ? (__tgmath_real_type (Val)) Fct (Val)                   \
  77                      : (sizeof (Val) == sizeof (float))                       \
  78                      ? (__tgmath_real_type (Val)) Fct##f (Val)                \
  79                      : (__tgmath_real_type (Val)) __tgml(Fct) (Val)))
  80
  81 # define __TGMATH_UNARY_REAL_RET_ONLY(Val, RetType, Fct) \
  82      (__extension__ ((sizeof (Val) == sizeof (double)                         \
  83                       || __builtin_classify_type (Val) != 8)                  \
  84                      ? (RetType) Fct (Val)                                    \
  85                      : (sizeof (Val) == sizeof (float))                       \
  86                      ? (RetType) Fct##f (Val)                                 \
  87                      : (RetType) __tgml(Fct) (Val)))
  88
  89 # define __TGMATH_BINARY_FIRST_REAL_ONLY(Val1, Val2, Fct) \
  90      (__extension__ ((sizeof (Val1) == sizeof (double)                        \
  91                       || __builtin_classify_type (Val1) != 8)                 \
  92                      ? (__tgmath_real_type (Val1)) Fct (Val1, Val2)           \
  93                      : (sizeof (Val1) == sizeof (float))                      \
  94                      ? (__tgmath_real_type (Val1)) Fct##f (Val1, Val2)        \
  95                      : (__tgmath_real_type (Val1)) __tgml(Fct) (Val1, Val2)))
  96
  97 # define __TGMATH_BINARY_REAL_ONLY(Val1, Val2, Fct) \
  98      (__extension__ (((sizeof (Val1) > sizeof (double)                        \
  99                        || sizeof (Val2) > sizeof (double))                    \
 100                       && __builtin_classify_type ((Val1) + (Val2)) == 8)      \
 101                      ? (__typeof ((__tgmath_real_type (Val1)) 0               \
 102                                    + (__tgmath_real_type (Val2)) 0))          \
 103                        __tgml(Fct) (Val1, Val2)                               \
 104                      : (sizeof (Val1) == sizeof (double)                      \
 105                         || sizeof (Val2) == sizeof (double)                   \
 106                         || __builtin_classify_type (Val1) != 8                \
 107                         || __builtin_classify_type (Val2) != 8)               \
 108                      ? (__typeof ((__tgmath_real_type (Val1)) 0               \
 109                                    + (__tgmath_real_type (Val2)) 0))          \
 110                        Fct (Val1, Val2)                                       \
 111                      : (__typeof ((__tgmath_real_type (Val1)) 0               \
 112                                    + (__tgmath_real_type (Val2)) 0))          \
 113                        Fct##f (Val1, Val2)))
 114
 115 # define __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY(Val1, Val2, Val3, Fct) \
 116      (__extension__ (((sizeof (Val1) > sizeof (double)                        \
 117                        || sizeof (Val2) > sizeof (double))                    \
 118                       && __builtin_classify_type ((Val1) + (Val2)) == 8)      \
 119                      ? (__typeof ((__tgmath_real_type (Val1)) 0               \
 120                                    + (__tgmath_real_type (Val2)) 0))          \
 121                        __tgml(Fct) (Val1, Val2, Val3)                         \
 122                      : (sizeof (Val1) == sizeof (double)                      \
 123                         || sizeof (Val2) == sizeof (double)                   \
 124                         || __builtin_classify_type (Val1) != 8                \
 125                         || __builtin_classify_type (Val2) != 8)               \
 126                      ? (__typeof ((__tgmath_real_type (Val1)) 0               \
 127                                    + (__tgmath_real_type (Val2)) 0))          \
 128                        Fct (Val1, Val2, Val3)                                 \
 129                      : (__typeof ((__tgmath_real_type (Val1)) 0               \
 130                                    + (__tgmath_real_type (Val2)) 0))          \
 131                        Fct##f (Val1, Val2, Val3)))
 132
 133 # define __TGMATH_TERNARY_REAL_ONLY(Val1, Val2, Val3, Fct) \
 134      (__extension__ (((sizeof (Val1) > sizeof (double)                        \
 135                        || sizeof (Val2) > sizeof (double)                     \
 136                        || sizeof (Val3) > sizeof (double))                    \
 137                       && __builtin_classify_type ((Val1) + (Val2) + (Val3))   \
 138                          == 8)                                                \
 139                      ? (__typeof ((__tgmath_real_type (Val1)) 0               \
 140                                    + (__tgmath_real_type (Val2)) 0            \
 141                                    + (__tgmath_real_type (Val3)) 0))          \
 142                        __tgml(Fct) (Val1, Val2, Val3)                         \
 143                      : (sizeof (Val1) == sizeof (double)                      \
 144                         || sizeof (Val2) == sizeof (double)                   \
 145                         || sizeof (Val3) == sizeof (double)                   \
 146                         || __builtin_classify_type (Val1) != 8                \
 147                         || __builtin_classify_type (Val2) != 8                \
 148                         || __builtin_classify_type (Val3) != 8)               \
 149                      ? (__typeof ((__tgmath_real_type (Val1)) 0               \
 150                                    + (__tgmath_real_type (Val2)) 0            \
 151                                    + (__tgmath_real_type (Val3)) 0))          \
 152                        Fct (Val1, Val2, Val3)                                 \
 153                      : (__typeof ((__tgmath_real_type (Val1)) 0               \
 154                                    + (__tgmath_real_type (Val2)) 0            \
 155                                    + (__tgmath_real_type (Val3)) 0))          \
 156                        Fct##f (Val1, Val2, Val3)))
 157
 158 /* XXX This definition has to be changed as soon as the compiler understands
 159    the imaginary keyword.  */
 160 # define __TGMATH_UNARY_REAL_IMAG(Val, Fct, Cfct) \
 161      (__extension__ ((sizeof (__real__ (Val)) == sizeof (double)              \
 162                       || __builtin_classify_type (__real__ (Val)) != 8)       \
 163                      ? ((sizeof (__real__ (Val)) == sizeof (Val))             \
 164                         ? (__tgmath_real_type (Val)) Fct (Val)                \
 165                         : (__tgmath_real_type (Val)) Cfct (Val))              \
 166                      : (sizeof (__real__ (Val)) == sizeof (float))            \
 167                      ? ((sizeof (__real__ (Val)) == sizeof (Val))             \
 168                         ? (__tgmath_real_type (Val)) Fct##f (Val)             \
 169                         : (__tgmath_real_type (Val)) Cfct##f (Val))           \
 170                      : ((sizeof (__real__ (Val)) == sizeof (Val))             \
 171                         ? (__tgmath_real_type (Val)) __tgml(Fct) (Val)        \
 172                         : (__tgmath_real_type (Val)) __tgml(Cfct) (Val))))
 173
 174 # define __TGMATH_UNARY_IMAG(Val, Cfct) \
 175      (__extension__ ((sizeof (__real__ (Val)) == sizeof (double)              \
 176                       || __builtin_classify_type (__real__ (Val)) != 8)       \
 177                      ? (__typeof__ ((__tgmath_real_type (Val)) 0              \
 178                                     + _Complex_I)) Cfct (Val)                 \
 179                      : (sizeof (__real__ (Val)) == sizeof (float))            \
 180                      ? (__typeof__ ((__tgmath_real_type (Val)) 0              \
 181                                     + _Complex_I)) Cfct##f (Val)              \
 182                      : (__typeof__ ((__tgmath_real_type (Val)) 0              \
 183                                     + _Complex_I)) __tgml(Cfct) (Val)))
 184
 185 /* XXX This definition has to be changed as soon as the compiler understands
 186    the imaginary keyword.  */
 187 # define __TGMATH_UNARY_REAL_IMAG_RET_REAL(Val, Fct, Cfct) \
 188      (__extension__ ((sizeof (__real__ (Val)) == sizeof (double)              \
 189                       || __builtin_classify_type (__real__ (Val)) != 8)       \
 190                      ? ((sizeof (__real__ (Val)) == sizeof (Val))             \
 191                         ? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
 192                           Fct (Val)                                           \
 193                         : (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
 194                           Cfct (Val))                                         \
 195                      : (sizeof (__real__ (Val)) == sizeof (float))            \
 196                      ? ((sizeof (__real__ (Val)) == sizeof (Val))             \
 197                         ? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
 198                           Fct##f (Val)                                        \
 199                         : (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
 200                           Cfct##f (Val))                                      \
 201                      : ((sizeof (__real__ (Val)) == sizeof (Val))             \
 202                         ? (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
 203                           __tgml(Fct) (Val)                                   \
 204                         : (__typeof__ (__real__ (__tgmath_real_type (Val)) 0))\
 205                           __tgml(Cfct) (Val))))
 206
 207 /* XXX This definition has to be changed as soon as the compiler understands
 208    the imaginary keyword.  */
 209 # define __TGMATH_BINARY_REAL_IMAG(Val1, Val2, Fct, Cfct) \
 210      (__extension__ (((sizeof (__real__ (Val1)) > sizeof (double)             \
 211                        || sizeof (__real__ (Val2)) > sizeof (double))         \
 212                       && __builtin_classify_type (__real__ (Val1)             \
 213                                                   + __real__ (Val2)) == 8)    \
 214                      ? ((sizeof (__real__ (Val1)) == sizeof (Val1)            \
 215                          && sizeof (__real__ (Val2)) == sizeof (Val2))        \
 216                         ? (__typeof ((__tgmath_real_type (Val1)) 0            \
 217                                    + (__tgmath_real_type (Val2)) 0))          \
 218                           __tgml(Fct) (Val1, Val2)                            \
 219                         : (__typeof ((__tgmath_real_type (Val1)) 0            \
 220                                    + (__tgmath_real_type (Val2)) 0))          \
 221                           __tgml(Cfct) (Val1, Val2))                          \
 222                      : (sizeof (__real__ (Val1)) == sizeof (double)           \
 223                         || sizeof (__real__ (Val2)) == sizeof (double)        \
 224                         || __builtin_classify_type (__real__ (Val1)) != 8     \
 225                         || __builtin_classify_type (__real__ (Val2)) != 8)    \
 226                      ? ((sizeof (__real__ (Val1)) == sizeof (Val1)            \
 227                          && sizeof (__real__ (Val2)) == sizeof (Val2))        \
 228                         ? (__typeof ((__tgmath_real_type (Val1)) 0            \
 229                                    + (__tgmath_real_type (Val2)) 0))          \
 230                           Fct (Val1, Val2)                                    \
 231                         : (__typeof ((__tgmath_real_type (Val1)) 0            \
 232                                    + (__tgmath_real_type (Val2)) 0))          \
 233                           Cfct (Val1, Val2))                                  \
 234                      : ((sizeof (__real__ (Val1)) == sizeof (Val1)            \
 235                          && sizeof (__real__ (Val2)) == sizeof (Val2))        \
 236                         ? (__typeof ((__tgmath_real_type (Val1)) 0            \
 237                                    + (__tgmath_real_type (Val2)) 0))          \
 238                           Fct##f (Val1, Val2)                                 \
 239                         : (__typeof ((__tgmath_real_type (Val1)) 0            \
 240                                    + (__tgmath_real_type (Val2)) 0))          \
 241                           Cfct##f (Val1, Val2))))
 242 #else
 243 # error "Unsupported compiler; you cannot use <tgmath.h>"
 244 #endif
 245
 246
 247 /* Unary functions defined for real and complex values.  */
 248
 249
 250 /* Trigonometric functions.  */
 251
 252 /* Arc cosine of X.  */
 253 #define acos(Val) __TGMATH_UNARY_REAL_IMAG (Val, acos, cacos)
 254 /* Arc sine of X.  */
 255 #define asin(Val) __TGMATH_UNARY_REAL_IMAG (Val, asin, casin)
 256 /* Arc tangent of X.  */
 257 #define atan(Val) __TGMATH_UNARY_REAL_IMAG (Val, atan, catan)
 258 /* Arc tangent of Y/X.  */
 259 #define atan2(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, atan2)
 260
 261 /* Cosine of X.  */
 262 #define cos(Val) __TGMATH_UNARY_REAL_IMAG (Val, cos, ccos)
 263 /* Sine of X.  */
 264 #define sin(Val) __TGMATH_UNARY_REAL_IMAG (Val, sin, csin)
 265 /* Tangent of X.  */
 266 #define tan(Val) __TGMATH_UNARY_REAL_IMAG (Val, tan, ctan)
 267
 268
 269 /* Hyperbolic functions.  */
 270
 271 /* Hyperbolic arc cosine of X.  */
 272 #define acosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, acosh, cacosh)
 273 /* Hyperbolic arc sine of X.  */
 274 #define asinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, asinh, casinh)
 275 /* Hyperbolic arc tangent of X.  */
 276 #define atanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, atanh, catanh)
 277
 278 /* Hyperbolic cosine of X.  */
 279 #define cosh(Val) __TGMATH_UNARY_REAL_IMAG (Val, cosh, ccosh)
 280 /* Hyperbolic sine of X.  */
 281 #define sinh(Val) __TGMATH_UNARY_REAL_IMAG (Val, sinh, csinh)
 282 /* Hyperbolic tangent of X.  */
 283 #define tanh(Val) __TGMATH_UNARY_REAL_IMAG (Val, tanh, ctanh)
 284
 285
 286 /* Exponential and logarithmic functions.  */
 287
 288 /* Exponential function of X.  */
 289 #define exp(Val) __TGMATH_UNARY_REAL_IMAG (Val, exp, cexp)
 290
 291 /* Break VALUE into a normalized fraction and an integral power of 2.  */
 292 #define frexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, frexp)
 293
 294 /* X times (two to the EXP power).  */
 295 #define ldexp(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, ldexp)
 296
 297 /* Natural logarithm of X.  */
 298 #define log(Val) __TGMATH_UNARY_REAL_IMAG (Val, log, clog)
 299
 300 /* Base-ten logarithm of X.  */
 301 #ifdef __USE_GNU
 302 # define log10(Val) __TGMATH_UNARY_REAL_IMAG (Val, log10, __clog10)
 303 #else
 304 # define log10(Val) __TGMATH_UNARY_REAL_ONLY (Val, log10)
 305 #endif
 306
 307 /* Return exp(X) - 1.  */
 308 #define expm1(Val) __TGMATH_UNARY_REAL_ONLY (Val, expm1)
 309
 310 /* Return log(1 + X).  */
 311 #define log1p(Val) __TGMATH_UNARY_REAL_ONLY (Val, log1p)
 312
 313 /* Return the base 2 signed integral exponent of X.  */
 314 #define logb(Val) __TGMATH_UNARY_REAL_ONLY (Val, logb)
 315
 316 /* Compute base-2 exponential of X.  */
 317 #define exp2(Val) __TGMATH_UNARY_REAL_ONLY (Val, exp2)
 318
 319 /* Compute base-2 logarithm of X.  */
 320 #define log2(Val) __TGMATH_UNARY_REAL_ONLY (Val, log2)
 321
 322
 323 /* Power functions.  */
 324
 325 /* Return X to the Y power.  */
 326 #define pow(Val1, Val2) __TGMATH_BINARY_REAL_IMAG (Val1, Val2, pow, cpow)
 327
 328 /* Return the square root of X.  */
 329 #define sqrt(Val) __TGMATH_UNARY_REAL_IMAG (Val, sqrt, csqrt)
 330
 331 /* Return `sqrt(X*X + Y*Y)'.  */
 332 #define hypot(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, hypot)
 333
 334 /* Return the cube root of X.  */
 335 #define cbrt(Val) __TGMATH_UNARY_REAL_ONLY (Val, cbrt)
 336
 337
 338 /* Nearest integer, absolute value, and remainder functions.  */
 339
 340 /* Smallest integral value not less than X.  */
 341 #define ceil(Val) __TGMATH_UNARY_REAL_ONLY (Val, ceil)
 342
 343 /* Absolute value of X.  */
 344 #define fabs(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, fabs, cabs)
 345
 346 /* Largest integer not greater than X.  */
 347 #define floor(Val) __TGMATH_UNARY_REAL_ONLY (Val, floor)
 348
 349 /* Floating-point modulo remainder of X/Y.  */
 350 #define fmod(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmod)
 351
 352 /* Round X to integral valuein floating-point format using current
 353    rounding direction, but do not raise inexact exception.  */
 354 #define nearbyint(Val) __TGMATH_UNARY_REAL_ONLY (Val, nearbyint)
 355
 356 /* Round X to nearest integral value, rounding halfway cases away from
 357    zero.  */
 358 #define round(Val) __TGMATH_UNARY_REAL_ONLY (Val, round)
 359
 360 /* Round X to the integral value in floating-point format nearest but
 361    not larger in magnitude.  */
 362 #define trunc(Val) __TGMATH_UNARY_REAL_ONLY (Val, trunc)
 363
 364 /* Compute remainder of X and Y and put in *QUO a value with sign of x/y
 365    and magnitude congruent `mod 2^n' to the magnitude of the integral
 366    quotient x/y, with n >= 3.  */
 367 #define remquo(Val1, Val2, Val3) \
 368      __TGMATH_TERNARY_FIRST_SECOND_REAL_ONLY (Val1, Val2, Val3, remquo)
 369
 370 /* Round X to nearest integral value according to current rounding
 371    direction.  */
 372 #define lrint(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long int, lrint)
 373 #define llrint(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long long int, llrint)
 374
 375 /* Round X to nearest integral value, rounding halfway cases away from
 376    zero.  */
 377 #define lround(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long int, lround)
 378 #define llround(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long long int, llround)
 379
 380
 381 /* Return X with its signed changed to Y's.  */
 382 #define copysign(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, copysign)
 383
 384 /* Error and gamma functions.  */
 385 #define erf(Val) __TGMATH_UNARY_REAL_ONLY (Val, erf)
 386 #define erfc(Val) __TGMATH_UNARY_REAL_ONLY (Val, erfc)
 387 #define tgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, tgamma)
 388 #define lgamma(Val) __TGMATH_UNARY_REAL_ONLY (Val, lgamma)
 389
 390
 391 /* Return the integer nearest X in the direction of the
 392    prevailing rounding mode.  */
 393 #define rint(Val) __TGMATH_UNARY_REAL_ONLY (Val, rint)
 394
 395 /* Return X + epsilon if X < Y, X - epsilon if X > Y.  */
 396 #define nextafter(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, nextafter)
 397 #define nexttoward(Val1, Val2) \
 398      __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, nexttoward)
 399
 400 /* Return the remainder of integer divison X / Y with infinite precision.  */
 401 #define remainder(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, remainder)
 402
 403 /* Return X times (2 to the Nth power).  */
 404 #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED
 405 # define scalb(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, scalb)
 406 #endif
 407
 408 /* Return X times (2 to the Nth power).  */
 409 #define scalbn(Val1, Val2) __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbn)
 410
 411 /* Return X times (2 to the Nth power).  */
 412 #define scalbln(Val1, Val2) \
 413      __TGMATH_BINARY_FIRST_REAL_ONLY (Val1, Val2, scalbln)
 414
 415 /* Return the binary exponent of X, which must be nonzero.  */
 416 #define ilogb(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, int, ilogb)
 417
 418
 419 /* Return positive difference between X and Y.  */
 420 #define fdim(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fdim)
 421
 422 /* Return maximum numeric value from X and Y.  */
 423 #define fmax(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmax)
 424
 425 /* Return minimum numeric value from X and Y.  */
 426 #define fmin(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, fmin)
 427
 428
 429 /* Multiply-add function computed as a ternary operation.  */
 430 #define fma(Val1, Val2, Val3) \
 431      __TGMATH_TERNARY_REAL_ONLY (Val1, Val2, Val3, fma)
 432
 433
 434 /* Absolute value, conjugates, and projection.  */
 435
 436 /* Argument value of Z.  */
 437 #define carg(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, carg, carg)
 438
 439 /* Complex conjugate of Z.  */
 440 #define conj(Val) __TGMATH_UNARY_IMAG (Val, conj)
 441
 442 /* Projection of Z onto the Riemann sphere.  */
 443 #define cproj(Val) __TGMATH_UNARY_IMAG (Val, cproj)
 444
 445
 446 /* Decomposing complex values.  */
 447
 448 /* Imaginary part of Z.  */
 449 #define cimag(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, cimag, cimag)
 450
 451 /* Real part of Z.  */
 452 #define creal(Val) __TGMATH_UNARY_REAL_IMAG_RET_REAL (Val, creal, creal)
 453
 454 #endif /* tgmath.h */