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			185 lines
		
	
	
		
			7.9 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			185 lines
		
	
	
		
			7.9 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
/* 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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