tgmath.h revision 225736 
1/*-
2 * Copyright (c) 2004 Stefan Farfeleder.
3 * All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 * 1. Redistributions of source code must retain the above copyright
9 *    notice, this list of conditions and the following disclaimer.
10 * 2. Redistributions in binary form must reproduce the above copyright
11 *    notice, this list of conditions and the following disclaimer in the
12 *    documentation and/or other materials provided with the distribution.
13 *
14 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
15 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
16 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
17 * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
18 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
19 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
20 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
21 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
22 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
23 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
24 * SUCH DAMAGE.
25 *
26 * $FreeBSD: stable/9/include/tgmath.h 166432 2007-02-02 18:30:23Z schweikh $
27 */
28
29#ifndef _TGMATH_H_
30#define	_TGMATH_H_
31
32#include <complex.h>
33#include <math.h>
34
35/*
36 * This implementation of <tgmath.h> requires two implementation-dependent
37 * macros to be defined:
38 * __tg_impl_simple(x, y, z, fn, fnf, fnl, ...)
39 *	Invokes fnl() if the corresponding real type of x, y or z is long
40 *	double, fn() if it is double or any has an integer type, and fnf()
41 *	otherwise.
42 * __tg_impl_full(x, y, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...)
43 *	Invokes [c]fnl() if the corresponding real type of x, y or z is long
44 *	double, [c]fn() if it is double or any has an integer type, and
45 *	[c]fnf() otherwise.  The function with the 'c' prefix is called if
46 *	any of x, y or z is a complex number.
47 * Both macros call the chosen function with all additional arguments passed
48 * to them, as given by __VA_ARGS__.
49 *
50 * Note that these macros cannot be implemented with C's ?: operator,
51 * because the return type of the whole expression would incorrectly be long
52 * double complex regardless of the argument types.
53 */
54
55#if __GNUC_PREREQ__(3, 1)
56#define	__tg_type(e, t)	__builtin_types_compatible_p(__typeof__(e), t)
57#define	__tg_type3(e1, e2, e3, t)					\
58	(__tg_type(e1, t) || __tg_type(e2, t) || __tg_type(e3, t))
59#define	__tg_type_corr(e1, e2, e3, t)					\
60	(__tg_type3(e1, e2, e3, t) || __tg_type3(e1, e2, e3, t _Complex))
61#define	__tg_integer(e1, e2, e3)					\
62	(((__typeof__(e1))1.5 == 1) || ((__typeof__(e2))1.5 == 1) ||	\
63	    ((__typeof__(e3))1.5 == 1))
64#define	__tg_is_complex(e1, e2, e3)					\
65	(__tg_type3(e1, e2, e3, float _Complex) ||			\
66	    __tg_type3(e1, e2, e3, double _Complex) ||			\
67	    __tg_type3(e1, e2, e3, long double _Complex) ||		\
68	    __tg_type3(e1, e2, e3, __typeof__(_Complex_I)))
69
70#define	__tg_impl_simple(x, y, z, fn, fnf, fnl, ...)			\
71	__builtin_choose_expr(__tg_type_corr(x, y, z, long double),	\
72	    fnl(__VA_ARGS__), __builtin_choose_expr(			\
73		__tg_type_corr(x, y, z, double) || __tg_integer(x, y, z),\
74		fn(__VA_ARGS__), fnf(__VA_ARGS__)))
75
76#define	__tg_impl_full(x, y, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...)	\
77	__builtin_choose_expr(__tg_is_complex(x, y, z),			\
78	    __tg_impl_simple(x, y, z, cfn, cfnf, cfnl, __VA_ARGS__),	\
79	    __tg_impl_simple(x, y, z, fn, fnf, fnl, __VA_ARGS__))
80
81#else	/* __GNUC__ */
82#error "<tgmath.h> not implemented for this compiler"
83#endif	/* !__GNUC__ */
84
85/* Macros to save lots of repetition below */
86#define	__tg_simple(x, fn)						\
87	__tg_impl_simple(x, x, x, fn, fn##f, fn##l, x)
88#define	__tg_simple2(x, y, fn)						\
89	__tg_impl_simple(x, x, y, fn, fn##f, fn##l, x, y)
90#define	__tg_simplev(x, fn, ...)					\
91	__tg_impl_simple(x, x, x, fn, fn##f, fn##l, __VA_ARGS__)
92#define	__tg_full(x, fn)						\
93	__tg_impl_full(x, x, x, fn, fn##f, fn##l, c##fn, c##fn##f, c##fn##l, x)
94
95/* 7.22#4 -- These macros expand to real or complex functions, depending on
96 * the type of their arguments. */
97#define	acos(x)		__tg_full(x, acos)
98#define	asin(x)		__tg_full(x, asin)
99#define	atan(x)		__tg_full(x, atan)
100#define	acosh(x)	__tg_full(x, acosh)
101#define	asinh(x)	__tg_full(x, asinh)
102#define	atanh(x)	__tg_full(x, atanh)
103#define	cos(x)		__tg_full(x, cos)
104#define	sin(x)		__tg_full(x, sin)
105#define	tan(x)		__tg_full(x, tan)
106#define	cosh(x)		__tg_full(x, cosh)
107#define	sinh(x)		__tg_full(x, sinh)
108#define	tanh(x)		__tg_full(x, tanh)
109#define	exp(x)		__tg_full(x, exp)
110#define	log(x)		__tg_full(x, log)
111#define	pow(x, y)	__tg_impl_full(x, x, y, pow, powf, powl,	\
112			    cpow, cpowf, cpowl, x, y)
113#define	sqrt(x)		__tg_full(x, sqrt)
114
115/* "The corresponding type-generic macro for fabs and cabs is fabs." */
116#define	fabs(x)		__tg_impl_full(x, x, x, fabs, fabsf, fabsl,	\
117    			    cabs, cabsf, cabsl, x)
118
119/* 7.22#5 -- These macros are only defined for arguments with real type. */
120#define	atan2(x, y)	__tg_simple2(x, y, atan2)
121#define	cbrt(x)		__tg_simple(x, cbrt)
122#define	ceil(x)		__tg_simple(x, ceil)
123#define	copysign(x, y)	__tg_simple2(x, y, copysign)
124#define	erf(x)		__tg_simple(x, erf)
125#define	erfc(x)		__tg_simple(x, erfc)
126#define	exp2(x)		__tg_simple(x, exp2)
127#define	expm1(x)	__tg_simple(x, expm1)
128#define	fdim(x, y)	__tg_simple2(x, y, fdim)
129#define	floor(x)	__tg_simple(x, floor)
130#define	fma(x, y, z)	__tg_impl_simple(x, y, z, fma, fmaf, fmal, x, y, z)
131#define	fmax(x, y)	__tg_simple2(x, y, fmax)
132#define	fmin(x, y)	__tg_simple2(x, y, fmin)
133#define	fmod(x, y)	__tg_simple2(x, y, fmod)
134#define	frexp(x, y)	__tg_simplev(x, frexp, x, y)
135#define	hypot(x, y)	__tg_simple2(x, y, hypot)
136#define	ilogb(x)	__tg_simple(x, ilogb)
137#define	ldexp(x, y)	__tg_simplev(x, ldexp, x, y)
138#define	lgamma(x)	__tg_simple(x, lgamma)
139#define	llrint(x)	__tg_simple(x, llrint)
140#define	llround(x)	__tg_simple(x, llround)
141#define	log10(x)	__tg_simple(x, log10)
142#define	log1p(x)	__tg_simple(x, log1p)
143#define	log2(x)		__tg_simple(x, log2)
144#define	logb(x)		__tg_simple(x, logb)
145#define	lrint(x)	__tg_simple(x, lrint)
146#define	lround(x)	__tg_simple(x, lround)
147#define	nearbyint(x)	__tg_simple(x, nearbyint)
148#define	nextafter(x, y)	__tg_simple2(x, y, nextafter)
149#define	nexttoward(x, y) __tg_simplev(x, nexttoward, x, y)
150#define	remainder(x, y)	__tg_simple2(x, y, remainder)
151#define	remquo(x, y, z)	__tg_impl_simple(x, x, y, remquo, remquof,	\
152			    remquol, x, y, z)
153#define	rint(x)		__tg_simple(x, rint)
154#define	round(x)	__tg_simple(x, round)
155#define	scalbn(x, y)	__tg_simplev(x, scalbn, x, y)
156#define	scalbln(x, y)	__tg_simplev(x, scalbln, x, y)
157#define	tgamma(x)	__tg_simple(x, tgamma)
158#define	trunc(x)	__tg_simple(x, trunc)
159
160/* 7.22#6 -- These macros always expand to complex functions. */
161#define	carg(x)		__tg_simple(x, carg)
162#define	cimag(x)	__tg_simple(x, cimag)
163#define	conj(x)		__tg_simple(x, conj)
164#define	cproj(x)	__tg_simple(x, cproj)
165#define	creal(x)	__tg_simple(x, creal)
166
167#endif /* !_TGMATH_H_ */
168