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211 lines
8.8 KiB
C
211 lines
8.8 KiB
C
/*-
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* SPDX-License-Identifier: BSD-2-Clause
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*
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* Copyright (c) 2004 Stefan Farfeleder.
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* All rights reserved.
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*
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* Copyright (c) 2012 Ed Schouten <ed@FreeBSD.org>
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
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* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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* SUCH DAMAGE.
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*/
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#ifndef _TGMATH_H_
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#define _TGMATH_H_
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#include <complex.h>
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#include <math.h>
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/*
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* This implementation of <tgmath.h> uses the two following macros,
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* which are based on the macros described in C11 proposal N1404:
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* __tg_impl_simple(x, y, z, fnl, fn, fnf, ...)
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* Invokes fnl() if the corresponding real type of x, y or z is long
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* double, fn() if it is double or any has an integer type, and fnf()
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* otherwise.
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* __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...)
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* Invokes [c]fnl() if the corresponding real type of x or y is long
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* double, [c]fn() if it is double or any has an integer type, and
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* [c]fnf() otherwise. The function with the 'c' prefix is called if
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* any of x or y is a complex number.
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* Both macros call the chosen function with all additional arguments passed
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* to them, as given by __VA_ARGS__.
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*
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* Note that these macros cannot be implemented with C's ?: operator,
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* because the return type of the whole expression would incorrectly be long
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* double complex regardless of the argument types.
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*
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* The structure of the C11 implementation of these macros can in
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* principle be reused for non-C11 compilers, but due to an integer
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* promotion bug for complex types in GCC 4.2, simply let non-C11
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* compilers use an inefficient yet reliable version.
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*/
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#if (defined(__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) || \
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__has_extension(c_generic_selections)
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#define __tg_generic(x, cfnl, cfn, cfnf, fnl, fn, fnf) \
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_Generic(x, \
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long double _Complex: cfnl, \
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double _Complex: cfn, \
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float _Complex: cfnf, \
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long double: fnl, \
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default: fn, \
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float: fnf \
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)
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#define __tg_type(x) \
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__tg_generic(x, (long double _Complex)0, (double _Complex)0, \
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(float _Complex)0, (long double)0, (double)0, (float)0)
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#define __tg_impl_simple(x, y, z, fnl, fn, fnf, ...) \
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__tg_generic( \
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__tg_type(x) + __tg_type(y) + __tg_type(z), \
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fnl, fn, fnf, fnl, fn, fnf)(__VA_ARGS__)
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#define __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...) \
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__tg_generic( \
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__tg_type(x) + __tg_type(y), \
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cfnl, cfn, cfnf, fnl, fn, fnf)(__VA_ARGS__)
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#elif defined(__generic)
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#define __tg_generic_simple(x, fnl, fn, fnf) \
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__generic(x, long double _Complex, fnl, \
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__generic(x, double _Complex, fn, \
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__generic(x, float _Complex, fnf, \
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__generic(x, long double, fnl, \
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__generic(x, float, fnf, fn)))))
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#define __tg_impl_simple(x, y, z, fnl, fn, fnf, ...) \
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__tg_generic_simple(x, \
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__tg_generic_simple(y, \
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__tg_generic_simple(z, fnl, fnl, fnl), \
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__tg_generic_simple(z, fnl, fnl, fnl), \
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__tg_generic_simple(z, fnl, fnl, fnl)), \
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__tg_generic_simple(y, \
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__tg_generic_simple(z, fnl, fnl, fnl), \
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__tg_generic_simple(z, fnl, fn , fn ), \
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__tg_generic_simple(z, fnl, fn , fn )), \
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__tg_generic_simple(y, \
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__tg_generic_simple(z, fnl, fnl, fnl), \
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__tg_generic_simple(z, fnl, fn , fn ), \
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__tg_generic_simple(z, fnl, fn , fnf)))(__VA_ARGS__)
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#define __tg_generic_full(x, cfnl, cfn, cfnf, fnl, fn, fnf) \
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__generic(x, long double _Complex, cfnl, \
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__generic(x, double _Complex, cfn, \
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__generic(x, float _Complex, cfnf, \
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__generic(x, long double, fnl, \
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__generic(x, float, fnf, fn)))))
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#define __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...) \
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__tg_generic_full(x, \
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__tg_generic_full(y, cfnl, cfnl, cfnl, cfnl, cfnl, cfnl), \
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__tg_generic_full(y, cfnl, cfn , cfn , cfnl, cfn , cfn ), \
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__tg_generic_full(y, cfnl, cfn , cfnf, cfnl, cfn , cfnf), \
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__tg_generic_full(y, cfnl, cfnl, cfnl, fnl , fnl , fnl ), \
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__tg_generic_full(y, cfnl, cfn , cfn , fnl , fn , fn ), \
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__tg_generic_full(y, cfnl, cfn , cfnf, fnl , fn , fnf )) \
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(__VA_ARGS__)
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#else
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#error "<tgmath.h> not implemented for this compiler"
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#endif
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/* Macros to save lots of repetition below */
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#define __tg_simple(x, fn) \
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__tg_impl_simple(x, x, x, fn##l, fn, fn##f, x)
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#define __tg_simple2(x, y, fn) \
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__tg_impl_simple(x, x, y, fn##l, fn, fn##f, x, y)
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#define __tg_simple3(x, y, z, fn) \
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__tg_impl_simple(x, y, z, fn##l, fn, fn##f, x, y, z)
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#define __tg_simplev(x, fn, ...) \
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__tg_impl_simple(x, x, x, fn##l, fn, fn##f, __VA_ARGS__)
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#define __tg_full(x, fn) \
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__tg_impl_full(x, x, c##fn##l, c##fn, c##fn##f, fn##l, fn, fn##f, x)
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#define __tg_full2(x, y, fn) \
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__tg_impl_full(x, y, c##fn##l, c##fn, c##fn##f, fn##l, fn, fn##f, x, y)
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/* 7.22#4 -- These macros expand to real or complex functions, depending on
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* the type of their arguments. */
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#define acos(x) __tg_full(x, acos)
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#define asin(x) __tg_full(x, asin)
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#define atan(x) __tg_full(x, atan)
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#define acosh(x) __tg_full(x, acosh)
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#define asinh(x) __tg_full(x, asinh)
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#define atanh(x) __tg_full(x, atanh)
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#define cos(x) __tg_full(x, cos)
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#define sin(x) __tg_full(x, sin)
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#define tan(x) __tg_full(x, tan)
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#define cosh(x) __tg_full(x, cosh)
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#define sinh(x) __tg_full(x, sinh)
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#define tanh(x) __tg_full(x, tanh)
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#define exp(x) __tg_full(x, exp)
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#define log(x) __tg_full(x, log)
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#define pow(x, y) __tg_full2(x, y, pow)
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#define sqrt(x) __tg_full(x, sqrt)
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/* "The corresponding type-generic macro for fabs and cabs is fabs." */
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#define fabs(x) __tg_impl_full(x, x, cabsl, cabs, cabsf, \
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fabsl, fabs, fabsf, x)
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/* 7.22#5 -- These macros are only defined for arguments with real type. */
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#define atan2(x, y) __tg_simple2(x, y, atan2)
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#define cbrt(x) __tg_simple(x, cbrt)
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#define ceil(x) __tg_simple(x, ceil)
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#define copysign(x, y) __tg_simple2(x, y, copysign)
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#define erf(x) __tg_simple(x, erf)
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#define erfc(x) __tg_simple(x, erfc)
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#define exp2(x) __tg_simple(x, exp2)
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#define expm1(x) __tg_simple(x, expm1)
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#define fdim(x, y) __tg_simple2(x, y, fdim)
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#define floor(x) __tg_simple(x, floor)
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#define fma(x, y, z) __tg_simple3(x, y, z, fma)
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#define fmax(x, y) __tg_simple2(x, y, fmax)
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#define fmin(x, y) __tg_simple2(x, y, fmin)
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#define fmod(x, y) __tg_simple2(x, y, fmod)
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#define frexp(x, y) __tg_simplev(x, frexp, x, y)
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#define hypot(x, y) __tg_simple2(x, y, hypot)
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#define ilogb(x) __tg_simple(x, ilogb)
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#define ldexp(x, y) __tg_simplev(x, ldexp, x, y)
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#define lgamma(x) __tg_simple(x, lgamma)
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#define llrint(x) __tg_simple(x, llrint)
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#define llround(x) __tg_simple(x, llround)
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#define log10(x) __tg_simple(x, log10)
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#define log1p(x) __tg_simple(x, log1p)
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#define log2(x) __tg_simple(x, log2)
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#define logb(x) __tg_simple(x, logb)
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#define lrint(x) __tg_simple(x, lrint)
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#define lround(x) __tg_simple(x, lround)
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#define nearbyint(x) __tg_simple(x, nearbyint)
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#define nextafter(x, y) __tg_simple2(x, y, nextafter)
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#define nexttoward(x, y) __tg_simplev(x, nexttoward, x, y)
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#define remainder(x, y) __tg_simple2(x, y, remainder)
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#define remquo(x, y, z) __tg_impl_simple(x, x, y, remquol, remquo, \
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remquof, x, y, z)
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#define rint(x) __tg_simple(x, rint)
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#define round(x) __tg_simple(x, round)
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#define scalbn(x, y) __tg_simplev(x, scalbn, x, y)
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#define scalbln(x, y) __tg_simplev(x, scalbln, x, y)
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#define tgamma(x) __tg_simple(x, tgamma)
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#define trunc(x) __tg_simple(x, trunc)
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/* 7.22#6 -- These macros always expand to complex functions. */
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#define carg(x) __tg_simple(x, carg)
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#define cimag(x) __tg_simple(x, cimag)
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#define conj(x) __tg_simple(x, conj)
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#define cproj(x) __tg_simple(x, cproj)
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#define creal(x) __tg_simple(x, creal)
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#endif /* !_TGMATH_H_ */
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