/* http://pubs.opengroup.org/onlinepubs/9699919799/basedefs/tgmath.h.html */
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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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* 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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* $FreeBSD$
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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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#ifdef log2
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#undef log2
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#endif
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/*
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* This implementation of <tgmath.h> requires two implementation-dependent
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* macros to be defined:
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* __tg_impl_simple(x, y, z, fn, fnf, fnl, ...)
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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, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...)
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* Invokes [c]fnl() if the corresponding real type of x, y or z 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, y or z 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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/* requires GCC >= 3.1 */
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#if !__GNUC_PREREQ (3, 1)
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#error "<tgmath.h> not implemented for this compiler"
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#endif
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#define __tg_type(__e, __t) \
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__builtin_types_compatible_p(__typeof__(__e), __t)
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#define __tg_type3(__e1, __e2, __e3, __t) \
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(__tg_type(__e1, __t) || __tg_type(__e2, __t) || \
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__tg_type(__e3, __t))
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#define __tg_type_corr(__e1, __e2, __e3, __t) \
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(__tg_type3(__e1, __e2, __e3, __t) || \
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__tg_type3(__e1, __e2, __e3, __t _Complex))
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#define __tg_integer(__e1, __e2, __e3) \
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(((__typeof__(__e1))1.5 == 1) || ((__typeof__(__e2))1.5 == 1) || \
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((__typeof__(__e3))1.5 == 1))
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#define __tg_is_complex(__e1, __e2, __e3) \
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(__tg_type3(__e1, __e2, __e3, float _Complex) || \
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__tg_type3(__e1, __e2, __e3, double _Complex) || \
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__tg_type3(__e1, __e2, __e3, long double _Complex) || \
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__tg_type3(__e1, __e2, __e3, __typeof__(_Complex_I)))
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#ifdef _LDBL_EQ_DBL
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#define __tg_impl_simple(x, y, z, fn, fnf, fnl, ...) \
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__builtin_choose_expr(__tg_type_corr(x, y, z, long double), \
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fnl(__VA_ARGS__), __builtin_choose_expr( \
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__tg_type_corr(x, y, z, double) || __tg_integer(x, y, z),\
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fn(__VA_ARGS__), fnf(__VA_ARGS__)))
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#else
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#define __tg_impl_simple(__x, __y, __z, __fn, __fnf, __fnl, ...) \
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(__tg_type_corr(__x, __y, __z, double) || __tg_integer(__x, __y, __z)) \
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? __fn(__VA_ARGS__) : __fnf(__VA_ARGS__)
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#endif
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#define __tg_impl_full(__x, __y, __z, __fn, __fnf, __fnl, __cfn, __cfnf, __cfnl, ...) \
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__builtin_choose_expr(__tg_is_complex(__x, __y, __z), \
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__tg_impl_simple(__x, __y, __z, __cfn, __cfnf, __cfnl, __VA_ARGS__), \
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__tg_impl_simple(__x, __y, __z, __fn, __fnf, __fnl, __VA_ARGS__))
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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, __fn##f, __fn##l, __x)
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#define __tg_simple2(__x, __y, __fn) \
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__tg_impl_simple(__x, __x, __y, __fn, __fn##f, __fn##l, __x, __y)
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#define __tg_simplev(__x, __fn, ...) \
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__tg_impl_simple(__x, __x, __x, __fn, __fn##f, __fn##l, __VA_ARGS__)
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#define __tg_full(__x, __fn) \
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__tg_impl_full(__x, __x, __x, __fn, __fn##f, __fn##l, c##__fn, c##__fn##f, c##__fn##l, __x)
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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_impl_full(__x, __x, __y, pow, powf, powl, \
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cpow, cpowf, cpowl, __x, __y)
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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, __x, fabs, fabsf, fabsl, \
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cabs, cabsf, cabsl, __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_impl_simple(__x, __y, __z, fma, fmaf, fmal, \
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__x, __y, __z)
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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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/* not yet implemented even for _LDBL_EQ_DBL platforms
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#define nexttoward(__x, __y) __tg_simplev(__x, nexttoward, __x, __y)
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*/
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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, remquo, remquof, \
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remquol, __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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