tgmath.h revision 229704
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 229704 2012-01-06 16:20:17Z 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
58#ifndef __generic
59#error "<tgmath.h> not implemented for this compiler"
60#endif
61
62#if 0 /* XXX: Much shorter and faster to compile, but broken with GCC 4.2. */
63#define	__tg_generic(x, cfnl, cfn, cfnf, fnl, fn, fnf)			\
64	__generic(x, long double _Complex, cfnl,			\
65	    __generic(x, double _Complex, cfn,				\
66	        __generic(x, float _Complex, cfnf,			\
67	            __generic(x, long double, fnl,			\
68	                __generic(x, float, fnf, fn)))))
69#define	__tg_type(x)							\
70	__tg_generic(x, (long double _Complex)0, (double _Complex)0,	\
71	    (float _Complex)0, (long double)0, (double)0, (float)0)
72#define	__tg_impl_simple(x, y, z, fnl, fn, fnf, ...)			\
73	__tg_generic(							\
74	    __tg_type(x) + __tg_type(y) + __tg_type(z),			\
75	    fnl, fn, fnf, fnl, fn, fnf)(__VA_ARGS__)
76#define	__tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...)	\
77	__tg_generic(							\
78	    __tg_type(x) + __tg_type(y),				\
79	    cfnl, cfn, cfnf, fnl, fn, fnf)(__VA_ARGS__)
80#else
81#define	__tg_generic_simple(x, fnl, fn, fnf)				\
82	__generic(x, long double _Complex, fnl,				\
83	    __generic(x, double _Complex, fn,				\
84	        __generic(x, float _Complex, fnf,			\
85	            __generic(x, long double, fnl,			\
86	                __generic(x, float, fnf, fn)))))
87#define	__tg_impl_simple(x, y, z, fnl, fn, fnf, ...)			\
88	__tg_generic_simple(x,						\
89	    __tg_generic_simple(y,					\
90	        __tg_generic_simple(z, fnl, fnl, fnl),			\
91	        __tg_generic_simple(z, fnl, fnl, fnl),			\
92	        __tg_generic_simple(z, fnl, fnl, fnl)),			\
93	    __tg_generic_simple(y,					\
94	        __tg_generic_simple(z, fnl, fnl, fnl),			\
95	        __tg_generic_simple(z, fnl, fn , fn ),			\
96	        __tg_generic_simple(z, fnl, fn , fn )),			\
97	    __tg_generic_simple(y,					\
98	        __tg_generic_simple(z, fnl, fnl, fnl),			\
99	        __tg_generic_simple(z, fnl, fn , fn ),			\
100	        __tg_generic_simple(z, fnl, fn , fnf)))(__VA_ARGS__)
101#define	__tg_generic_full(x, cfnl, cfn, cfnf, fnl, fn, fnf)		\
102	__generic(x, long double _Complex, cfnl,			\
103	    __generic(x, double _Complex, cfn,				\
104	        __generic(x, float _Complex, cfnf,			\
105	            __generic(x, long double, fnl,			\
106	                __generic(x, float, fnf, fn)))))
107#define	__tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...)	\
108	__tg_generic_full(x,						\
109	    __tg_generic_full(y, cfnl, cfnl, cfnl, cfnl, cfnl, cfnl),	\
110	    __tg_generic_full(y, cfnl, cfn , cfn , cfnl, cfn , cfn ),	\
111	    __tg_generic_full(y, cfnl, cfn , cfnf, cfnl, cfn , cfnf),	\
112	    __tg_generic_full(y, cfnl, cfnl, cfnl, fnl , fnl , fnl ),	\
113	    __tg_generic_full(y, cfnl, cfn , cfn , fnl , fn  , fn  ),	\
114	    __tg_generic_full(y, cfnl, cfn , cfnf, fnl , fn  , fnf ))	\
115	    (__VA_ARGS__)
116#endif
117
118/* Macros to save lots of repetition below */
119#define	__tg_simple(x, fn)						\
120	__tg_impl_simple(x, x, x, fn##l, fn, fn##f, x)
121#define	__tg_simple2(x, y, fn)						\
122	__tg_impl_simple(x, x, y, fn##l, fn, fn##f, x, y)
123#define	__tg_simple3(x, y, z, fn)					\
124	__tg_impl_simple(x, y, z, fn##l, fn, fn##f, x, y, z)
125#define	__tg_simplev(x, fn, ...)					\
126	__tg_impl_simple(x, x, x, fn##l, fn, fn##f, __VA_ARGS__)
127#define	__tg_full(x, fn)						\
128	__tg_impl_full(x, x, c##fn##l, c##fn, c##fn##f, fn##l, fn, fn##f, x)
129#define	__tg_full2(x, y, fn)						\
130	__tg_impl_full(x, y, c##fn##l, c##fn, c##fn##f, fn##l, fn, fn##f, x, y)
131
132/* 7.22#4 -- These macros expand to real or complex functions, depending on
133 * the type of their arguments. */
134#define	acos(x)		__tg_full(x, acos)
135#define	asin(x)		__tg_full(x, asin)
136#define	atan(x)		__tg_full(x, atan)
137#define	acosh(x)	__tg_full(x, acosh)
138#define	asinh(x)	__tg_full(x, asinh)
139#define	atanh(x)	__tg_full(x, atanh)
140#define	cos(x)		__tg_full(x, cos)
141#define	sin(x)		__tg_full(x, sin)
142#define	tan(x)		__tg_full(x, tan)
143#define	cosh(x)		__tg_full(x, cosh)
144#define	sinh(x)		__tg_full(x, sinh)
145#define	tanh(x)		__tg_full(x, tanh)
146#define	exp(x)		__tg_full(x, exp)
147#define	log(x)		__tg_full(x, log)
148#define	pow(x, y)	__tg_full2(x, y, pow)
149#define	sqrt(x)		__tg_full(x, sqrt)
150
151/* "The corresponding type-generic macro for fabs and cabs is fabs." */
152#define	fabs(x)		__tg_impl_full(x, x, cabsl, cabs, cabsf,	\
153    			    fabsl, fabs, fabsf, x)
154
155/* 7.22#5 -- These macros are only defined for arguments with real type. */
156#define	atan2(x, y)	__tg_simple2(x, y, atan2)
157#define	cbrt(x)		__tg_simple(x, cbrt)
158#define	ceil(x)		__tg_simple(x, ceil)
159#define	copysign(x, y)	__tg_simple2(x, y, copysign)
160#define	erf(x)		__tg_simple(x, erf)
161#define	erfc(x)		__tg_simple(x, erfc)
162#define	exp2(x)		__tg_simple(x, exp2)
163#define	expm1(x)	__tg_simple(x, expm1)
164#define	fdim(x, y)	__tg_simple2(x, y, fdim)
165#define	floor(x)	__tg_simple(x, floor)
166#define	fma(x, y, z)	__tg_simple3(x, y, z, fma)
167#define	fmax(x, y)	__tg_simple2(x, y, fmax)
168#define	fmin(x, y)	__tg_simple2(x, y, fmin)
169#define	fmod(x, y)	__tg_simple2(x, y, fmod)
170#define	frexp(x, y)	__tg_simplev(x, frexp, x, y)
171#define	hypot(x, y)	__tg_simple2(x, y, hypot)
172#define	ilogb(x)	__tg_simple(x, ilogb)
173#define	ldexp(x, y)	__tg_simplev(x, ldexp, x, y)
174#define	lgamma(x)	__tg_simple(x, lgamma)
175#define	llrint(x)	__tg_simple(x, llrint)
176#define	llround(x)	__tg_simple(x, llround)
177#define	log10(x)	__tg_simple(x, log10)
178#define	log1p(x)	__tg_simple(x, log1p)
179#define	log2(x)		__tg_simple(x, log2)
180#define	logb(x)		__tg_simple(x, logb)
181#define	lrint(x)	__tg_simple(x, lrint)
182#define	lround(x)	__tg_simple(x, lround)
183#define	nearbyint(x)	__tg_simple(x, nearbyint)
184#define	nextafter(x, y)	__tg_simple2(x, y, nextafter)
185#define	nexttoward(x, y) __tg_simplev(x, nexttoward, x, y)
186#define	remainder(x, y)	__tg_simple2(x, y, remainder)
187#define	remquo(x, y, z)	__tg_impl_simple(x, x, y, remquol, remquo,	\
188			    remquof, x, y, z)
189#define	rint(x)		__tg_simple(x, rint)
190#define	round(x)	__tg_simple(x, round)
191#define	scalbn(x, y)	__tg_simplev(x, scalbn, x, y)
192#define	scalbln(x, y)	__tg_simplev(x, scalbln, x, y)
193#define	tgamma(x)	__tg_simple(x, tgamma)
194#define	trunc(x)	__tg_simple(x, trunc)
195
196/* 7.22#6 -- These macros always expand to complex functions. */
197#define	carg(x)		__tg_simple(x, carg)
198#define	cimag(x)	__tg_simple(x, cimag)
199#define	conj(x)		__tg_simple(x, conj)
200#define	cproj(x)	__tg_simple(x, cproj)
201#define	creal(x)	__tg_simple(x, creal)
202
203#endif /* !_TGMATH_H_ */
204