root/include/tgmath.h
/*      $OpenBSD: tgmath.h,v 1.1 2011/07/08 19:28:06 martynas Exp $     */

/*-
 * Copyright (c) 2004 Stefan Farfeleder.
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 *
 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
 * SUCH DAMAGE.
 *
 * $FreeBSD: src/include/tgmath.h,v 1.5 2007/02/02 18:30:23 schweikh Exp $
 */

#ifndef _TGMATH_H_
#define _TGMATH_H_

#include <complex.h>
#include <math.h>

/*
 * This implementation of <tgmath.h> requires two implementation-dependent
 * macros to be defined:
 * __tg_impl_simple(x, y, z, fn, fnf, fnl, ...)
 *      Invokes fnl() if the corresponding real type of x, y or z is long
 *      double, fn() if it is double or any has an integer type, and fnf()
 *      otherwise.
 * __tg_impl_full(x, y, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...)
 *      Invokes [c]fnl() if the corresponding real type of x, y or z is long
 *      double, [c]fn() if it is double or any has an integer type, and
 *      [c]fnf() otherwise.  The function with the 'c' prefix is called if
 *      any of x, y or z is a complex number.
 * Both macros call the chosen function with all additional arguments passed
 * to them, as given by __VA_ARGS__.
 *
 * Note that these macros cannot be implemented with C's ?: operator,
 * because the return type of the whole expression would incorrectly be long
 * double complex regardless of the argument types.
 */

#if __GNUC_PREREQ__(3, 1)
#define __tg_type(e, t) __builtin_types_compatible_p(__typeof__(e), t)
#define __tg_type3(e1, e2, e3, t)                                       \
        (__tg_type(e1, t) || __tg_type(e2, t) || __tg_type(e3, t))
#define __tg_type_corr(e1, e2, e3, t)                                   \
        (__tg_type3(e1, e2, e3, t) || __tg_type3(e1, e2, e3, t _Complex))
#define __tg_integer(e1, e2, e3)                                        \
        (((__typeof__(e1))1.5 == 1) || ((__typeof__(e2))1.5 == 1) ||    \
            ((__typeof__(e3))1.5 == 1))
#define __tg_is_complex(e1, e2, e3)                                     \
        (__tg_type3(e1, e2, e3, float _Complex) ||                      \
            __tg_type3(e1, e2, e3, double _Complex) ||                  \
            __tg_type3(e1, e2, e3, long double _Complex) ||             \
            __tg_type3(e1, e2, e3, __typeof__(_Complex_I)))

#define __tg_impl_simple(x, y, z, fn, fnf, fnl, ...)                    \
        __builtin_choose_expr(__tg_type_corr(x, y, z, long double),     \
            fnl(__VA_ARGS__), __builtin_choose_expr(                    \
                __tg_type_corr(x, y, z, double) || __tg_integer(x, y, z),\
                fn(__VA_ARGS__), fnf(__VA_ARGS__)))

#define __tg_impl_full(x, y, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...)     \
        __builtin_choose_expr(__tg_is_complex(x, y, z),                 \
            __tg_impl_simple(x, y, z, cfn, cfnf, cfnl, __VA_ARGS__),    \
            __tg_impl_simple(x, y, z, fn, fnf, fnl, __VA_ARGS__))

#else   /* __GNUC__ */
#error "<tgmath.h> not implemented for this compiler"
#endif  /* !__GNUC__ */

/* Macros to save lots of repetition below */
#define __tg_simple(x, fn)                                              \
        __tg_impl_simple(x, x, x, fn, fn##f, fn##l, x)
#define __tg_simple2(x, y, fn)                                          \
        __tg_impl_simple(x, x, y, fn, fn##f, fn##l, x, y)
#define __tg_simplev(x, fn, ...)                                        \
        __tg_impl_simple(x, x, x, fn, fn##f, fn##l, __VA_ARGS__)
#define __tg_full(x, fn)                                                \
        __tg_impl_full(x, x, x, fn, fn##f, fn##l, c##fn, c##fn##f, c##fn##l, x)

/* 7.22#4 -- These macros expand to real or complex functions, depending on
 * the type of their arguments. */
#define acos(x)         __tg_full(x, acos)
#define asin(x)         __tg_full(x, asin)
#define atan(x)         __tg_full(x, atan)
#define acosh(x)        __tg_full(x, acosh)
#define asinh(x)        __tg_full(x, asinh)
#define atanh(x)        __tg_full(x, atanh)
#define cos(x)          __tg_full(x, cos)
#define sin(x)          __tg_full(x, sin)
#define tan(x)          __tg_full(x, tan)
#define cosh(x)         __tg_full(x, cosh)
#define sinh(x)         __tg_full(x, sinh)
#define tanh(x)         __tg_full(x, tanh)
#define exp(x)          __tg_full(x, exp)
#define log(x)          __tg_full(x, log)
#define pow(x, y)       __tg_impl_full(x, x, y, pow, powf, powl,        \
                            cpow, cpowf, cpowl, x, y)
#define sqrt(x)         __tg_full(x, sqrt)

/* "The corresponding type-generic macro for fabs and cabs is fabs." */
#define fabs(x)         __tg_impl_full(x, x, x, fabs, fabsf, fabsl,     \
                            cabs, cabsf, cabsl, x)

/* 7.22#5 -- These macros are only defined for arguments with real type. */
#define atan2(x, y)     __tg_simple2(x, y, atan2)
#define cbrt(x)         __tg_simple(x, cbrt)
#define ceil(x)         __tg_simple(x, ceil)
#define copysign(x, y)  __tg_simple2(x, y, copysign)
#define erf(x)          __tg_simple(x, erf)
#define erfc(x)         __tg_simple(x, erfc)
#define exp2(x)         __tg_simple(x, exp2)
#define expm1(x)        __tg_simple(x, expm1)
#define fdim(x, y)      __tg_simple2(x, y, fdim)
#define floor(x)        __tg_simple(x, floor)
#define fma(x, y, z)    __tg_impl_simple(x, y, z, fma, fmaf, fmal, x, y, z)
#define fmax(x, y)      __tg_simple2(x, y, fmax)
#define fmin(x, y)      __tg_simple2(x, y, fmin)
#define fmod(x, y)      __tg_simple2(x, y, fmod)
#define frexp(x, y)     __tg_simplev(x, frexp, x, y)
#define hypot(x, y)     __tg_simple2(x, y, hypot)
#define ilogb(x)        __tg_simple(x, ilogb)
#define ldexp(x, y)     __tg_simplev(x, ldexp, x, y)
#define lgamma(x)       __tg_simple(x, lgamma)
#define llrint(x)       __tg_simple(x, llrint)
#define llround(x)      __tg_simple(x, llround)
#define log10(x)        __tg_simple(x, log10)
#define log1p(x)        __tg_simple(x, log1p)
#define log2(x)         __tg_simple(x, log2)
#define logb(x)         __tg_simple(x, logb)
#define lrint(x)        __tg_simple(x, lrint)
#define lround(x)       __tg_simple(x, lround)
#define nearbyint(x)    __tg_simple(x, nearbyint)
#define nextafter(x, y) __tg_simple2(x, y, nextafter)
#define nexttoward(x, y) __tg_simplev(x, nexttoward, x, y)
#define remainder(x, y) __tg_simple2(x, y, remainder)
#define remquo(x, y, z) __tg_impl_simple(x, x, y, remquo, remquof,      \
                            remquol, x, y, z)
#define rint(x)         __tg_simple(x, rint)
#define round(x)        __tg_simple(x, round)
#define scalbn(x, y)    __tg_simplev(x, scalbn, x, y)
#define scalbln(x, y)   __tg_simplev(x, scalbln, x, y)
#define tgamma(x)       __tg_simple(x, tgamma)
#define trunc(x)        __tg_simple(x, trunc)

/* 7.22#6 -- These macros always expand to complex functions. */
#define carg(x)         __tg_simple(x, carg)
#define cimag(x)        __tg_simple(x, cimag)
#define conj(x)         __tg_simple(x, conj)
#define cproj(x)        __tg_simple(x, cproj)
#define creal(x)        __tg_simple(x, creal)

#endif /* !_TGMATH_H_ */