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_ */ 211