| blob | 46fade4ee1f061371011d2464baae2bc194f7c7a |
1 /* $OpenBSD: tgmath.h,v 1.1 2011/07/08 19:28:06 martynas Exp $ */
3 /*-
4 * Copyright (c) 2004 Stefan Farfeleder.
5 * All rights reserved.
6 *
7 * Redistribution and use in source and binary forms, with or without
8 * modification, are permitted provided that the following conditions
9 * are met:
10 * 1. Redistributions of source code must retain the above copyright
11 * notice, this list of conditions and the following disclaimer.
12 * 2. Redistributions in binary form must reproduce the above copyright
13 * notice, this list of conditions and the following disclaimer in the
14 * documentation and/or other materials provided with the distribution.
15 *
16 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
17 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
18 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
19 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
20 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
21 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
22 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
23 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
24 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
25 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
26 * SUCH DAMAGE.
27 *
28 * $FreeBSD: src/include/tgmath.h,v 1.5 2007/02/02 18:30:23 schweikh Exp $
29 */
31 #ifndef _TGMATH_H_
32 #define _TGMATH_H_
34 #include <complex.h>
35 #include <math.h>
37 /*
38 * This implementation of <tgmath.h> requires two implementation-dependent
39 * macros to be defined:
40 * __tg_impl_simple(x, y, z, fn, fnf, fnl, ...)
41 * Invokes fnl() if the corresponding real type of x, y or z is long
42 * double, fn() if it is double or any has an integer type, and fnf()
43 * otherwise.
44 * __tg_impl_full(x, y, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...)
45 * Invokes [c]fnl() if the corresponding real type of x, y or z is long
46 * double, [c]fn() if it is double or any has an integer type, and
47 * [c]fnf() otherwise. The function with the 'c' prefix is called if
48 * any of x, y or z is a complex number.
49 * Both macros call the chosen function with all additional arguments passed
50 * to them, as given by __VA_ARGS__.
51 *
52 * Note that these macros cannot be implemented with C's ?: operator,
53 * because the return type of the whole expression would incorrectly be long
54 * double complex regardless of the argument types.
55 */
57 #if __GNUC_PREREQ__(3, 1)
58 #define __tg_type(e, t) __builtin_types_compatible_p(__typeof__(e), t)
59 #define __tg_type3(e1, e2, e3, t) \
60 (__tg_type(e1, t) || __tg_type(e2, t) || __tg_type(e3, t))
61 #define __tg_type_corr(e1, e2, e3, t) \
62 (__tg_type3(e1, e2, e3, t) || __tg_type3(e1, e2, e3, t _Complex))
63 #define __tg_integer(e1, e2, e3) \
64 (((__typeof__(e1))1.5 == 1) || ((__typeof__(e2))1.5 == 1) || \
65 ((__typeof__(e3))1.5 == 1))
66 #define __tg_is_complex(e1, e2, e3) \
67 (__tg_type3(e1, e2, e3, float _Complex) || \
68 __tg_type3(e1, e2, e3, double _Complex) || \
69 __tg_type3(e1, e2, e3, long double _Complex) || \
70 __tg_type3(e1, e2, e3, __typeof__(_Complex_I)))
72 #define __tg_impl_simple(x, y, z, fn, fnf, fnl, ...) \
73 __builtin_choose_expr(__tg_type_corr(x, y, z, long double), \
74 fnl(__VA_ARGS__), __builtin_choose_expr( \
75 __tg_type_corr(x, y, z, double) || __tg_integer(x, y, z),\
76 fn(__VA_ARGS__), fnf(__VA_ARGS__)))
78 #define __tg_impl_full(x, y, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...) \
79 __builtin_choose_expr(__tg_is_complex(x, y, z), \
80 __tg_impl_simple(x, y, z, cfn, cfnf, cfnl, __VA_ARGS__), \
81 __tg_impl_simple(x, y, z, fn, fnf, fnl, __VA_ARGS__))
87 /* Macros to save lots of repetition below */
88 #define __tg_simple(x, fn) \
89 __tg_impl_simple(x, x, x, fn, fn##f, fn##l, x)
90 #define __tg_simple2(x, y, fn) \
91 __tg_impl_simple(x, x, y, fn, fn##f, fn##l, x, y)
92 #define __tg_simplev(x, fn, ...) \
93 __tg_impl_simple(x, x, x, fn, fn##f, fn##l, __VA_ARGS__)
94 #define __tg_full(x, fn) \
95 __tg_impl_full(x, x, x, fn, fn##f, fn##l, c##fn, c##fn##f, c##fn##l, x)
97 /* 7.22#4 -- These macros expand to real or complex functions, depending on
98 * the type of their arguments. */
99 #define acos(x) __tg_full(x, acos)
100 #define asin(x) __tg_full(x, asin)
101 #define atan(x) __tg_full(x, atan)
102 #define acosh(x) __tg_full(x, acosh)
103 #define asinh(x) __tg_full(x, asinh)
104 #define atanh(x) __tg_full(x, atanh)
105 #define cos(x) __tg_full(x, cos)
106 #define sin(x) __tg_full(x, sin)
107 #define tan(x) __tg_full(x, tan)
108 #define cosh(x) __tg_full(x, cosh)
109 #define sinh(x) __tg_full(x, sinh)
110 #define tanh(x) __tg_full(x, tanh)
111 #define exp(x) __tg_full(x, exp)
112 #define log(x) __tg_full(x, log)
113 #define pow(x, y) __tg_impl_full(x, x, y, pow, powf, powl, \
114 cpow, cpowf, cpowl, x, y)
115 #define sqrt(x) __tg_full(x, sqrt)
117 /* "The corresponding type-generic macro for fabs and cabs is fabs." */
118 #define fabs(x) __tg_impl_full(x, x, x, fabs, fabsf, fabsl, \
119 cabs, cabsf, cabsl, x)
121 /* 7.22#5 -- These macros are only defined for arguments with real type. */
122 #define atan2(x, y) __tg_simple2(x, y, atan2)
123 #define cbrt(x) __tg_simple(x, cbrt)
124 #define ceil(x) __tg_simple(x, ceil)
125 #define copysign(x, y) __tg_simple2(x, y, copysign)
126 #define erf(x) __tg_simple(x, erf)
127 #define erfc(x) __tg_simple(x, erfc)
128 #define exp2(x) __tg_simple(x, exp2)
129 #define expm1(x) __tg_simple(x, expm1)
130 #define fdim(x, y) __tg_simple2(x, y, fdim)
131 #define floor(x) __tg_simple(x, floor)
132 #define fma(x, y, z) __tg_impl_simple(x, y, z, fma, fmaf, fmal, x, y, z)
133 #define fmax(x, y) __tg_simple2(x, y, fmax)
134 #define fmin(x, y) __tg_simple2(x, y, fmin)
135 #define fmod(x, y) __tg_simple2(x, y, fmod)
136 #define frexp(x, y) __tg_simplev(x, frexp, x, y)
137 #define hypot(x, y) __tg_simple2(x, y, hypot)
138 #define ilogb(x) __tg_simple(x, ilogb)
139 #define ldexp(x, y) __tg_simplev(x, ldexp, x, y)
140 #define lgamma(x) __tg_simple(x, lgamma)
141 #define llrint(x) __tg_simple(x, llrint)
142 #define llround(x) __tg_simple(x, llround)
143 #define log10(x) __tg_simple(x, log10)
144 #define log1p(x) __tg_simple(x, log1p)
145 #define log2(x) __tg_simple(x, log2)
146 #define logb(x) __tg_simple(x, logb)
147 #define lrint(x) __tg_simple(x, lrint)
148 #define lround(x) __tg_simple(x, lround)
149 #define nearbyint(x) __tg_simple(x, nearbyint)
150 #define nextafter(x, y) __tg_simple2(x, y, nextafter)
151 #define nexttoward(x, y) __tg_simplev(x, nexttoward, x, y)
152 #define remainder(x, y) __tg_simple2(x, y, remainder)
153 #define remquo(x, y, z) __tg_impl_simple(x, x, y, remquo, remquof, \
154 remquol, x, y, z)
155 #define rint(x) __tg_simple(x, rint)
156 #define round(x) __tg_simple(x, round)
157 #define scalbn(x, y) __tg_simplev(x, scalbn, x, y)
158 #define scalbln(x, y) __tg_simplev(x, scalbln, x, y)
159 #define tgamma(x) __tg_simple(x, tgamma)
160 #define trunc(x) __tg_simple(x, trunc)
162 /* 7.22#6 -- These macros always expand to complex functions. */
163 #define carg(x) __tg_simple(x, carg)
164 #define cimag(x) __tg_simple(x, cimag)
165 #define conj(x) __tg_simple(x, conj)
166 #define cproj(x) __tg_simple(x, cproj)
167 #define creal(x) __tg_simple(x, creal)