include/tgmath.h

   1 /*-
   2  * Copyright (c) 2004 Stefan Farfeleder.
   3  * All rights reserved.
   4  *
   5  * Copyright (c) 2012 Ed Schouten <ed@FreeBSD.org>
   6  * All rights reserved.
   7  *
   8  * Redistribution and use in source and binary forms, with or without
   9  * modification, are permitted provided that the following conditions
  10  * are met:
  11  * 1. Redistributions of source code must retain the above copyright
  12  *    notice, this list of conditions and the following disclaimer.
  13  * 2. Redistributions in binary form must reproduce the above copyright
  14  *    notice, this list of conditions and the following disclaimer in the
  15  *    documentation and/or other materials provided with the distribution.
  16  *
  17  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
  18  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  19  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
  20  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
  21  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
  22  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
  23  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  24  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
  25  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
  26  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
  27  * SUCH DAMAGE.
  28  *
  29  * $FreeBSD: head/include/tgmath.h 249995 2013-04-27 21:18:34Z ed $
  30  */
  31
  32 #ifndef _TGMATH_H_
  33 #define _TGMATH_H_
  34
  35 #include <complex.h>
  36 #include <math.h>
  37
  38 /*
  39  * This implementation of <tgmath.h> uses the two following macros,
  40  * which are based on the macros described in C11 proposal N1404:
  41  * __tg_impl_simple(x, y, z, fnl, fn, fnf, ...)
  42  *      Invokes fnl() if the corresponding real type of x, y or z is long
  43  *      double, fn() if it is double or any has an integer type, and fnf()
  44  *      otherwise.
  45  * __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...)
  46  *      Invokes [c]fnl() if the corresponding real type of x or y is long
  47  *      double, [c]fn() if it is double or any has an integer type, and
  48  *      [c]fnf() otherwise.  The function with the 'c' prefix is called if
  49  *      any of x or y is a complex number.
  50  * Both macros call the chosen function with all additional arguments passed
  51  * to them, as given by __VA_ARGS__.
  52  *
  53  * Note that these macros cannot be implemented with C's ?: operator,
  54  * because the return type of the whole expression would incorrectly be long
  55  * double complex regardless of the argument types.
  56  *
  57  * The structure of the C11 implementation of these macros can in
  58  * principle be reused for non-C11 compilers, but due to an integer
  59  * promotion bug for complex types in GCC 4.2, simply let non-C11
  60  * compilers use an inefficient yet reliable version.
  61  */
  62
  63 #if (defined(__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) || \
  64     __has_extension(c_generic_selections)
  65 #define __tg_generic(x, cfnl, cfn, cfnf, fnl, fn, fnf)                  \
  66         _Generic(x,                                                     \
  67                 long double _Complex: cfnl,                             \
  68                 double _Complex: cfn,                                   \
  69                 float _Complex: cfnf,                                   \
  70                 long double: fnl,                                       \
  71                 default: fn,                                            \
  72                 float: fnf                                              \
  73         )
  74 #define __tg_type(x)                                                    \
  75         __tg_generic(x, (long double _Complex)0, (double _Complex)0,    \
  76             (float _Complex)0, (long double)0, (double)0, (float)0)
  77 #define __tg_impl_simple(x, y, z, fnl, fn, fnf, ...)                    \
  78         __tg_generic(                                                   \
  79             __tg_type(x) + __tg_type(y) + __tg_type(z),                 \
  80             fnl, fn, fnf, fnl, fn, fnf)(__VA_ARGS__)
  81 #define __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...)        \
  82         __tg_generic(                                                   \
  83             __tg_type(x) + __tg_type(y),                                \
  84             cfnl, cfn, cfnf, fnl, fn, fnf)(__VA_ARGS__)
  85 #elif defined(__generic)
  86 #define __tg_generic_simple(x, fnl, fn, fnf)                            \
  87         __generic(x, long double _Complex, fnl,                         \
  88             __generic(x, double _Complex, fn,                           \
  89                 __generic(x, float _Complex, fnf,                       \
  90                     __generic(x, long double, fnl,                      \
  91                         __generic(x, float, fnf, fn)))))
  92 #define __tg_impl_simple(x, y, z, fnl, fn, fnf, ...)                    \
  93         __tg_generic_simple(x,                                          \
  94             __tg_generic_simple(y,                                      \
  95                 __tg_generic_simple(z, fnl, fnl, fnl),                  \
  96                 __tg_generic_simple(z, fnl, fnl, fnl),                  \
  97                 __tg_generic_simple(z, fnl, fnl, fnl)),                 \
  98             __tg_generic_simple(y,                                      \
  99                 __tg_generic_simple(z, fnl, fnl, fnl),                  \
 100                 __tg_generic_simple(z, fnl, fn , fn ),                  \
 101                 __tg_generic_simple(z, fnl, fn , fn )),                 \
 102             __tg_generic_simple(y,                                      \
 103                 __tg_generic_simple(z, fnl, fnl, fnl),                  \
 104                 __tg_generic_simple(z, fnl, fn , fn ),                  \
 105                 __tg_generic_simple(z, fnl, fn , fnf)))(__VA_ARGS__)
 106 #define __tg_generic_full(x, cfnl, cfn, cfnf, fnl, fn, fnf)             \
 107         __generic(x, long double _Complex, cfnl,                        \
 108             __generic(x, double _Complex, cfn,                          \
 109                 __generic(x, float _Complex, cfnf,                      \
 110                     __generic(x, long double, fnl,                      \
 111                         __generic(x, float, fnf, fn)))))
 112 #define __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...)        \
 113         __tg_generic_full(x,                                            \
 114             __tg_generic_full(y, cfnl, cfnl, cfnl, cfnl, cfnl, cfnl),   \
 115             __tg_generic_full(y, cfnl, cfn , cfn , cfnl, cfn , cfn ),   \
 116             __tg_generic_full(y, cfnl, cfn , cfnf, cfnl, cfn , cfnf),   \
 117             __tg_generic_full(y, cfnl, cfnl, cfnl, fnl , fnl , fnl ),   \
 118             __tg_generic_full(y, cfnl, cfn , cfn , fnl , fn  , fn  ),   \
 119             __tg_generic_full(y, cfnl, cfn , cfnf, fnl , fn  , fnf ))   \
 120             (__VA_ARGS__)
 121 #else
 122 #error "<tgmath.h> not implemented for this compiler"
 123 #endif
 124
 125 /* Macros to save lots of repetition below */
 126 #define __tg_simple(x, fn)                                              \
 127         __tg_impl_simple(x, x, x, fn##l, fn, fn##f, x)
 128 #define __tg_simple2(x, y, fn)                                          \
 129         __tg_impl_simple(x, x, y, fn##l, fn, fn##f, x, y)
 130 #define __tg_simple3(x, y, z, fn)                                       \
 131         __tg_impl_simple(x, y, z, fn##l, fn, fn##f, x, y, z)
 132 #define __tg_simplev(x, fn, ...)                                        \
 133         __tg_impl_simple(x, x, x, fn##l, fn, fn##f, __VA_ARGS__)
 134 #define __tg_full(x, fn)                                                \
 135         __tg_impl_full(x, x, c##fn##l, c##fn, c##fn##f, fn##l, fn, fn##f, x)
 136 #define __tg_full2(x, y, fn)                                            \
 137         __tg_impl_full(x, y, c##fn##l, c##fn, c##fn##f, fn##l, fn, fn##f, x, y)
 138
 139 /* 7.22#4 -- These macros expand to real or complex functions, depending on
 140  * the type of their arguments. */
 141 #define acos(x)         __tg_full(x, acos)
 142 #define asin(x)         __tg_full(x, asin)
 143 #define atan(x)         __tg_full(x, atan)
 144 #define acosh(x)        __tg_full(x, acosh)
 145 #define asinh(x)        __tg_full(x, asinh)
 146 #define atanh(x)        __tg_full(x, atanh)
 147 #define cos(x)          __tg_full(x, cos)
 148 #define sin(x)          __tg_full(x, sin)
 149 #define tan(x)          __tg_full(x, tan)
 150 #define cosh(x)         __tg_full(x, cosh)
 151 #define sinh(x)         __tg_full(x, sinh)
 152 #define tanh(x)         __tg_full(x, tanh)
 153 #define exp(x)          __tg_full(x, exp)
 154 #define log(x)          __tg_full(x, log)
 155 #define pow(x, y)       __tg_full2(x, y, pow)
 156 #define sqrt(x)         __tg_full(x, sqrt)
 157
 158 /* "The corresponding type-generic macro for fabs and cabs is fabs." */
 159 #define fabs(x)         __tg_impl_full(x, x, cabsl, cabs, cabsf,        \
 160                             fabsl, fabs, fabsf, x)
 161
 162 /* 7.22#5 -- These macros are only defined for arguments with real type. */
 163 #define atan2(x, y)     __tg_simple2(x, y, atan2)
 164 #define cbrt(x)         __tg_simple(x, cbrt)
 165 #define ceil(x)         __tg_simple(x, ceil)
 166 #define copysign(x, y)  __tg_simple2(x, y, copysign)
 167 #define erf(x)          __tg_simple(x, erf)
 168 #define erfc(x)         __tg_simple(x, erfc)
 169 #define exp2(x)         __tg_simple(x, exp2)
 170 #define expm1(x)        __tg_simple(x, expm1)
 171 #define fdim(x, y)      __tg_simple2(x, y, fdim)
 172 #define floor(x)        __tg_simple(x, floor)
 173 #define fma(x, y, z)    __tg_simple3(x, y, z, fma)
 174 #define fmax(x, y)      __tg_simple2(x, y, fmax)
 175 #define fmin(x, y)      __tg_simple2(x, y, fmin)
 176 #define fmod(x, y)      __tg_simple2(x, y, fmod)
 177 #define frexp(x, y)     __tg_simplev(x, frexp, x, y)
 178 #define hypot(x, y)     __tg_simple2(x, y, hypot)
 179 #define ilogb(x)        __tg_simple(x, ilogb)
 180 #define ldexp(x, y)     __tg_simplev(x, ldexp, x, y)
 181 #define lgamma(x)       __tg_simple(x, lgamma)
 182 #define llrint(x)       __tg_simple(x, llrint)
 183 #define llround(x)      __tg_simple(x, llround)
 184 #define log10(x)        __tg_simple(x, log10)
 185 #define log1p(x)        __tg_simple(x, log1p)
 186 #define log2(x)         __tg_simple(x, log2)
 187 #define logb(x)         __tg_simple(x, logb)
 188 #define lrint(x)        __tg_simple(x, lrint)
 189 #define lround(x)       __tg_simple(x, lround)
 190 #define nearbyint(x)    __tg_simple(x, nearbyint)
 191 #define nextafter(x, y) __tg_simple2(x, y, nextafter)
 192 #define nexttoward(x, y) __tg_simplev(x, nexttoward, x, y)
 193 #define remainder(x, y) __tg_simple2(x, y, remainder)
 194 #define remquo(x, y, z) __tg_impl_simple(x, x, y, remquol, remquo,      \
 195                             remquof, x, y, z)
 196 #define rint(x)         __tg_simple(x, rint)
 197 #define round(x)        __tg_simple(x, round)
 198 #define scalbn(x, y)    __tg_simplev(x, scalbn, x, y)
 199 #define scalbln(x, y)   __tg_simplev(x, scalbln, x, y)
 200 #define tgamma(x)       __tg_simple(x, tgamma)
 201 #define trunc(x)        __tg_simple(x, trunc)
 202
 203 /* 7.22#6 -- These macros always expand to complex functions. */
 204 #define carg(x)         __tg_simple(x, carg)
 205 #define cimag(x)        __tg_simple(x, cimag)
 206 #define conj(x)         __tg_simple(x, conj)
 207 #define cproj(x)        __tg_simple(x, cproj)
 208 #define creal(x)        __tg_simple(x, creal)
 209
 210 #endif /* !_TGMATH_H_ */