tgmath.h revision 134733
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: head/include/tgmath.h 134733 2004-09-03 23:26:55Z stefanf $
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
69#define	__tg_impl_simple(x, y, z, fn, fnf, fnl, ...)			\
70	__builtin_choose_expr(__tg_type_corr(x, y, z, long double),	\
71	    fnl(__VA_ARGS__), __builtin_choose_expr(			\
72		__tg_type_corr(x, y, z, double) || __tg_integer(x, y, z),\
73		fn(__VA_ARGS__), fnf(__VA_ARGS__)))
74
75#define	__tg_impl_full(x, y, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...)	\
76	__builtin_choose_expr(__tg_is_complex(x, y, z),			\
77	    __tg_impl_simple(x, y, z, cfn, cfnf, cfnl, __VA_ARGS__),	\
78	    __tg_impl_simple(x, y, z, fn, fnf, fnl, __VA_ARGS__))
79
80#else	/* __GNUC__ */
81#error "<tgmath.h> not implemented for this compiler"
82#endif	/* !__GNUC__ */
83
84/* Macros to save lots of repetition below */
85#define	__tg_simple(x, fn)						\
86	__tg_impl_simple(x, x, x, fn, fn##f, fn##l, x)
87#define	__tg_simple2(x, y, fn)						\
88	__tg_impl_simple(x, x, y, fn, fn##f, fn##l, x, y)
89#define	__tg_simplev(x, fn, ...)					\
90	__tg_impl_simple(x, x, x, fn, fn##f, fn##l, __VA_ARGS__)
91#define	__tg_full(x, fn)						\
92	__tg_impl_full(x, x, x, fn, fn##f, fn##l, c##fn, c##fn##f, c##fn##l, x)
93
94/* 7.22#4 -- These macros expand to real or complex functions, depending on
95 * the type of their arguments. */
96#define	acos(x)		__tg_full(x, acos)
97#define	asin(x)		__tg_full(x, asin)
98#define	atan(x)		__tg_full(x, atan)
99#define	acosh(x)	__tg_full(x, acosh)
100#define	asinh(x)	__tg_full(x, asinh)
101#define	atanh(x)	__tg_full(x, atanh)
102#define	cos(x)		__tg_full(x, cos)
103#define	sin(x)		__tg_full(x, sin)
104#define	tan(x)		__tg_full(x, tan)
105#define	cosh(x)		__tg_full(x, cosh)
106#define	sinh(x)		__tg_full(x, sinh)
107#define	tanh(x)		__tg_full(x, tanh)
108#define	exp(x)		__tg_full(x, exp)
109#define	log(x)		__tg_full(x, log)
110#define	pow(x, y)	__tg_impl_full(x, x, y, pow, powf, powl,	\
111			    cpow, cpowf, cpowl, x, y)
112#define	sqrt(x)		__tg_full(x, sqrt)
113
114/* "The corresponding type-generic macro for fabs and cabs is fabs." */
115#define	fabs(x)		__tg_impl_full(x, x, x, fabs, fabsf, fabsl,	\
116    			    cabs, cabsf, cabsl, x)
117
118/* 7.22#5 -- These macros are only defined for arguments with real type. */
119#define	atan2(x, y)	__tg_simple2(x, y, atan2)
120#define	cbrt(x)		__tg_simple(x, cbrt)
121#define	ceil(x)		__tg_simple(x, ceil)
122#define	copysign(x, y)	__tg_simple2(x, y, copysign)
123#define	erf(x)		__tg_simple(x, erf)
124#define	erfc(x)		__tg_simple(x, erfc)
125#define	exp2(x)		__tg_simple(x, exp2)
126#define	expm1(x)	__tg_simple(x, expm1)
127#define	fdim(x, y)	__tg_simple2(x, y, fdim)
128#define	floor(x)	__tg_simple(x, floor)
129#define	fma(x, y, z)	__tg_impl_simple(x, y, z, fma, fmaf, fmal, x, y, z)
130#define	fmax(x, y)	__tg_simple2(x, y, fmax)
131#define	fmin(x, y)	__tg_simple2(x, y, fmin)
132#define	fmod(x, y)	__tg_simple2(x, y, fmod)
133#define	frexp(x, y)	__tg_simplev(x, frexp, x, y)
134#define	hypot(x, y)	__tg_simple2(x, y, hypot)
135#define	ilogb(x)	__tg_simple(x, ilogb)
136#define	ldexp(x, y)	__tg_simplev(x, ldexp, x, y)
137#define	lgamma(x)	__tg_simple(x, lgamma)
138#define	llrint(x)	__tg_simple(x, llrint)
139#define	llround(x)	__tg_simple(x, llround)
140#define	log10(x)	__tg_simple(x, log10)
141#define	log1p(x)	__tg_simple(x, log1p)
142#define	log2(x)		__tg_simple(x, log2)
143#define	logb(x)		__tg_simple(x, logb)
144#define	lrint(x)	__tg_simple(x, lrint)
145#define	lround(x)	__tg_simple(x, lround)
146#define	nearbyint(x)	__tg_simple(x, nearbyint)
147#define	nextafter(x, y)	__tg_simple2(x, y, nextafter)
148#define	nexttoward(x, y) __tg_simplev(x, nexttoward, x, y)
149#define	remainder(x, y)	__tg_simple2(x, y, remainder)
150#define	remquo(x, y, z)	__tg_impl_simple(x, x, y, remquo, remquof,	\
151			    remquol, x, y, z)
152#define	rint(x)		__tg_simple(x, rint)
153#define	round(x)	__tg_simple(x, round)
154#define	scalbn(x, y)	__tg_simplev(x, scalbn, x, y)
155#define	scalbln(x, y)	__tg_simplev(x, scalbln, x, y)
156#define	tgamma(x)	__tg_simple(x, tgamma)
157#define	trunc(x)	__tg_simple(x, trunc)
158
159/* 7.22#6 -- These macros always expand to complex functions. */
160#define	carg(x)		__tg_simple(x, carg)
161#define	cimag(x)	__tg_simple(x, cimag)
162#define	conj(x)		__tg_simple(x, conj)
163#define	cproj(x)	__tg_simple(x, cproj)
164#define	creal(x)	__tg_simple(x, creal)
165
166#endif /* !_TGMATH_H_ */
167