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1/*-
2 * SPDX-License-Identifier: BSD-2-Clause
3 *
4 * Copyright (c) 2004 Stefan Farfeleder.
5 * All rights reserved.
6 *
7 * Copyright (c) 2012 Ed Schouten <ed@FreeBSD.org>
8 * All rights reserved.
9 *
10 * Redistribution and use in source and binary forms, with or without
11 * modification, are permitted provided that the following conditions
12 * are met:
13 * 1. Redistributions of source code must retain the above copyright
14 * notice, this list of conditions and the following disclaimer.
15 * 2. Redistributions in binary form must reproduce the above copyright
16 * notice, this list of conditions and the following disclaimer in the
17 * documentation and/or other materials provided with the distribution.
18 *
19 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
20 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
21 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
22 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
23 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
24 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
25 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
26 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
27 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
28 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
29 * SUCH DAMAGE.
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 * The structure of the C11 implementation of these macros can in
58 * principle be reused for non-C11 compilers, but due to an integer
59 * promotion bug for complex types in GCC 4.2, simply let non-C11
60 * compilers use an inefficient yet reliable version.
61 */
62
63#if (defined(__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) || \
64 __has_extension(c_generic_selections)
65#define __tg_generic(x, cfnl, cfn, cfnf, fnl, fn, fnf) \
66 _Generic(x, \
67 long double _Complex: cfnl, \
68 double _Complex: cfn, \
69 float _Complex: cfnf, \
70 long double: fnl, \
71 default: fn, \
72 float: fnf \
73 )
74#define __tg_type(x) \
75 __tg_generic(x, (long double _Complex)0, (double _Complex)0, \
76 (float _Complex)0, (long double)0, (double)0, (float)0)
77#define __tg_impl_simple(x, y, z, fnl, fn, fnf, ...) \
78 __tg_generic( \
79 __tg_type(x) + __tg_type(y) + __tg_type(z), \
80 fnl, fn, fnf, fnl, fn, fnf)(__VA_ARGS__)
81#define __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...) \
82 __tg_generic( \
83 __tg_type(x) + __tg_type(y), \
84 cfnl, cfn, cfnf, fnl, fn, fnf)(__VA_ARGS__)
85#elif defined(__generic)
86#define __tg_generic_simple(x, fnl, fn, fnf) \
87 __generic(x, long double _Complex, fnl, \
88 __generic(x, double _Complex, fn, \
89 __generic(x, float _Complex, fnf, \
90 __generic(x, long double, fnl, \
91 __generic(x, float, fnf, fn)))))
92#define __tg_impl_simple(x, y, z, fnl, fn, fnf, ...) \
93 __tg_generic_simple(x, \
94 __tg_generic_simple(y, \
95 __tg_generic_simple(z, fnl, fnl, fnl), \
96 __tg_generic_simple(z, fnl, fnl, fnl), \
97 __tg_generic_simple(z, fnl, fnl, fnl)), \
98 __tg_generic_simple(y, \
99 __tg_generic_simple(z, fnl, fnl, fnl), \
100 __tg_generic_simple(z, fnl, fn , fn ), \
101 __tg_generic_simple(z, fnl, fn , fn )), \
102 __tg_generic_simple(y, \
103 __tg_generic_simple(z, fnl, fnl, fnl), \
104 __tg_generic_simple(z, fnl, fn , fn ), \
105 __tg_generic_simple(z, fnl, fn , fnf)))(__VA_ARGS__)
106#define __tg_generic_full(x, cfnl, cfn, cfnf, fnl, fn, fnf) \
107 __generic(x, long double _Complex, cfnl, \
108 __generic(x, double _Complex, cfn, \
109 __generic(x, float _Complex, cfnf, \
110 __generic(x, long double, fnl, \
111 __generic(x, float, fnf, fn)))))
112#define __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...) \
113 __tg_generic_full(x, \
114 __tg_generic_full(y, cfnl, cfnl, cfnl, cfnl, cfnl, cfnl), \
115 __tg_generic_full(y, cfnl, cfn , cfn , cfnl, cfn , cfn ), \
116 __tg_generic_full(y, cfnl, cfn , cfnf, cfnl, cfn , cfnf), \
117 __tg_generic_full(y, cfnl, cfnl, cfnl, fnl , fnl , fnl ), \
118 __tg_generic_full(y, cfnl, cfn , cfn , fnl , fn , fn ), \
119 __tg_generic_full(y, cfnl, cfn , cfnf, fnl , fn , fnf )) \
120 (__VA_ARGS__)
121#else
122#error "<tgmath.h> not implemented for this compiler"
123#endif
124
125/* Macros to save lots of repetition below */
126#define __tg_simple(x, fn) \
127 __tg_impl_simple(x, x, x, fn##l, fn, fn##f, x)
128#define __tg_simple2(x, y, fn) \
129 __tg_impl_simple(x, x, y, fn##l, fn, fn##f, x, y)
130#define __tg_simple3(x, y, z, fn) \
131 __tg_impl_simple(x, y, z, fn##l, fn, fn##f, x, y, z)
132#define __tg_simplev(x, fn, ...) \
133 __tg_impl_simple(x, x, x, fn##l, fn, fn##f, __VA_ARGS__)
134#define __tg_full(x, fn) \
135 __tg_impl_full(x, x, c##fn##l, c##fn, c##fn##f, fn##l, fn, fn##f, x)
136#define __tg_full2(x, y, fn) \
137 __tg_impl_full(x, y, c##fn##l, c##fn, c##fn##f, fn##l, fn, fn##f, x, y)
138
139/* 7.22#4 -- These macros expand to real or complex functions, depending on
140 * the type of their arguments. */
141#define acos(x) __tg_full(x, acos)
142#define asin(x) __tg_full(x, asin)
143#define atan(x) __tg_full(x, atan)
144#define acosh(x) __tg_full(x, acosh)
145#define asinh(x) __tg_full(x, asinh)
146#define atanh(x) __tg_full(x, atanh)
147#define cos(x) __tg_full(x, cos)
148#define sin(x) __tg_full(x, sin)
149#define tan(x) __tg_full(x, tan)
150#define cosh(x) __tg_full(x, cosh)
151#define sinh(x) __tg_full(x, sinh)
152#define tanh(x) __tg_full(x, tanh)
153#define exp(x) __tg_full(x, exp)
154#define log(x) __tg_full(x, log)
155#define pow(x, y) __tg_full2(x, y, pow)
156#define sqrt(x) __tg_full(x, sqrt)
157
158/* "The corresponding type-generic macro for fabs and cabs is fabs." */
159#define fabs(x) __tg_impl_full(x, x, cabsl, cabs, cabsf, \
160 fabsl, fabs, fabsf, x)
161
162/* 7.22#5 -- These macros are only defined for arguments with real type. */
163#define atan2(x, y) __tg_simple2(x, y, atan2)
164#define cbrt(x) __tg_simple(x, cbrt)
165#define ceil(x) __tg_simple(x, ceil)
166#define copysign(x, y) __tg_simple2(x, y, copysign)
167#define erf(x) __tg_simple(x, erf)
168#define erfc(x) __tg_simple(x, erfc)
169#define exp2(x) __tg_simple(x, exp2)
170#define expm1(x) __tg_simple(x, expm1)
171#define fdim(x, y) __tg_simple2(x, y, fdim)
172#define floor(x) __tg_simple(x, floor)
173#define fma(x, y, z) __tg_simple3(x, y, z, fma)
174#define fmax(x, y) __tg_simple2(x, y, fmax)
175#define fmin(x, y) __tg_simple2(x, y, fmin)
176#define fmod(x, y) __tg_simple2(x, y, fmod)
177#define frexp(x, y) __tg_simplev(x, frexp, x, y)
178#define hypot(x, y) __tg_simple2(x, y, hypot)
179#define ilogb(x) __tg_simple(x, ilogb)
180#define ldexp(x, y) __tg_simplev(x, ldexp, x, y)
181#define lgamma(x) __tg_simple(x, lgamma)
182#define llrint(x) __tg_simple(x, llrint)
183#define llround(x) __tg_simple(x, llround)
184#define log10(x) __tg_simple(x, log10)
185#define log1p(x) __tg_simple(x, log1p)
186#define log2(x) __tg_simple(x, log2)
187#define logb(x) __tg_simple(x, logb)
188#define lrint(x) __tg_simple(x, lrint)
189#define lround(x) __tg_simple(x, lround)
190#define nearbyint(x) __tg_simple(x, nearbyint)
191#define nextafter(x, y) __tg_simple2(x, y, nextafter)
192#define nexttoward(x, y) __tg_simplev(x, nexttoward, x, y)
193#define remainder(x, y) __tg_simple2(x, y, remainder)
194#define remquo(x, y, z) __tg_impl_simple(x, x, y, remquol, remquo, \
195 remquof, x, y, z)
196#define rint(x) __tg_simple(x, rint)
197#define round(x) __tg_simple(x, round)
198#define scalbn(x, y) __tg_simplev(x, scalbn, x, y)
199#define scalbln(x, y) __tg_simplev(x, scalbln, x, y)
200#define tgamma(x) __tg_simple(x, tgamma)
201#define trunc(x) __tg_simple(x, trunc)
202
203/* 7.22#6 -- These macros always expand to complex functions. */
204#define carg(x) __tg_simple(x, carg)
205#define cimag(x) __tg_simple(x, cimag)
206#define conj(x) __tg_simple(x, conj)
207#define cproj(x) __tg_simple(x, cproj)
208#define creal(x) __tg_simple(x, creal)
209
210#endif /* !_TGMATH_H_ */