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 * $FreeBSD$ 32 */ 33 34 #ifndef _TGMATH_H_ 35 #define _TGMATH_H_ 36 37 #include <complex.h> 38 #include <math.h> 39 40 /* 41 * This implementation of <tgmath.h> uses the two following macros, 42 * which are based on the macros described in C11 proposal N1404: 43 * __tg_impl_simple(x, y, z, fnl, fn, fnf, ...) 44 * Invokes fnl() if the corresponding real type of x, y or z is long 45 * double, fn() if it is double or any has an integer type, and fnf() 46 * otherwise. 47 * __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...) 48 * Invokes [c]fnl() if the corresponding real type of x or y is long 49 * double, [c]fn() if it is double or any has an integer type, and 50 * [c]fnf() otherwise. The function with the 'c' prefix is called if 51 * any of x or y is a complex number. 52 * Both macros call the chosen function with all additional arguments passed 53 * to them, as given by __VA_ARGS__. 54 * 55 * Note that these macros cannot be implemented with C's ?: operator, 56 * because the return type of the whole expression would incorrectly be long 57 * double complex regardless of the argument types. 58 * 59 * The structure of the C11 implementation of these macros can in 60 * principle be reused for non-C11 compilers, but due to an integer 61 * promotion bug for complex types in GCC 4.2, simply let non-C11 62 * compilers use an inefficient yet reliable version. 63 */ 64 65 #if (defined(__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) || \ 66 __has_extension(c_generic_selections) 67 #define __tg_generic(x, cfnl, cfn, cfnf, fnl, fn, fnf) \ 68 _Generic(x, \ 69 long double _Complex: cfnl, \ 70 double _Complex: cfn, \ 71 float _Complex: cfnf, \ 72 long double: fnl, \ 73 default: fn, \ 74 float: fnf \ 75 ) 76 #define __tg_type(x) \ 77 __tg_generic(x, (long double _Complex)0, (double _Complex)0, \ 78 (float _Complex)0, (long double)0, (double)0, (float)0) 79 #define __tg_impl_simple(x, y, z, fnl, fn, fnf, ...) \ 80 __tg_generic( \ 81 __tg_type(x) + __tg_type(y) + __tg_type(z), \ 82 fnl, fn, fnf, fnl, fn, fnf)(__VA_ARGS__) 83 #define __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...) \ 84 __tg_generic( \ 85 __tg_type(x) + __tg_type(y), \ 86 cfnl, cfn, cfnf, fnl, fn, fnf)(__VA_ARGS__) 87 #elif defined(__generic) 88 #define __tg_generic_simple(x, fnl, fn, fnf) \ 89 __generic(x, long double _Complex, fnl, \ 90 __generic(x, double _Complex, fn, \ 91 __generic(x, float _Complex, fnf, \ 92 __generic(x, long double, fnl, \ 93 __generic(x, float, fnf, fn))))) 94 #define __tg_impl_simple(x, y, z, fnl, fn, fnf, ...) \ 95 __tg_generic_simple(x, \ 96 __tg_generic_simple(y, \ 97 __tg_generic_simple(z, fnl, fnl, fnl), \ 98 __tg_generic_simple(z, fnl, fnl, fnl), \ 99 __tg_generic_simple(z, fnl, fnl, fnl)), \ 100 __tg_generic_simple(y, \ 101 __tg_generic_simple(z, fnl, fnl, fnl), \ 102 __tg_generic_simple(z, fnl, fn , fn ), \ 103 __tg_generic_simple(z, fnl, fn , fn )), \ 104 __tg_generic_simple(y, \ 105 __tg_generic_simple(z, fnl, fnl, fnl), \ 106 __tg_generic_simple(z, fnl, fn , fn ), \ 107 __tg_generic_simple(z, fnl, fn , fnf)))(__VA_ARGS__) 108 #define __tg_generic_full(x, cfnl, cfn, cfnf, fnl, fn, fnf) \ 109 __generic(x, long double _Complex, cfnl, \ 110 __generic(x, double _Complex, cfn, \ 111 __generic(x, float _Complex, cfnf, \ 112 __generic(x, long double, fnl, \ 113 __generic(x, float, fnf, fn))))) 114 #define __tg_impl_full(x, y, cfnl, cfn, cfnf, fnl, fn, fnf, ...) \ 115 __tg_generic_full(x, \ 116 __tg_generic_full(y, cfnl, cfnl, cfnl, cfnl, cfnl, cfnl), \ 117 __tg_generic_full(y, cfnl, cfn , cfn , cfnl, cfn , cfn ), \ 118 __tg_generic_full(y, cfnl, cfn , cfnf, cfnl, cfn , cfnf), \ 119 __tg_generic_full(y, cfnl, cfnl, cfnl, fnl , fnl , fnl ), \ 120 __tg_generic_full(y, cfnl, cfn , cfn , fnl , fn , fn ), \ 121 __tg_generic_full(y, cfnl, cfn , cfnf, fnl , fn , fnf )) \ 122 (__VA_ARGS__) 123 #else 124 #error "<tgmath.h> not implemented for this compiler" 125 #endif 126 127 /* Macros to save lots of repetition below */ 128 #define __tg_simple(x, fn) \ 129 __tg_impl_simple(x, x, x, fn##l, fn, fn##f, x) 130 #define __tg_simple2(x, y, fn) \ 131 __tg_impl_simple(x, x, y, fn##l, fn, fn##f, x, y) 132 #define __tg_simple3(x, y, z, fn) \ 133 __tg_impl_simple(x, y, z, fn##l, fn, fn##f, x, y, z) 134 #define __tg_simplev(x, fn, ...) \ 135 __tg_impl_simple(x, x, x, fn##l, fn, fn##f, __VA_ARGS__) 136 #define __tg_full(x, fn) \ 137 __tg_impl_full(x, x, c##fn##l, c##fn, c##fn##f, fn##l, fn, fn##f, x) 138 #define __tg_full2(x, y, fn) \ 139 __tg_impl_full(x, y, c##fn##l, c##fn, c##fn##f, fn##l, fn, fn##f, x, y) 140 141 /* 7.22#4 -- These macros expand to real or complex functions, depending on 142 * the type of their arguments. */ 143 #define acos(x) __tg_full(x, acos) 144 #define asin(x) __tg_full(x, asin) 145 #define atan(x) __tg_full(x, atan) 146 #define acosh(x) __tg_full(x, acosh) 147 #define asinh(x) __tg_full(x, asinh) 148 #define atanh(x) __tg_full(x, atanh) 149 #define cos(x) __tg_full(x, cos) 150 #define sin(x) __tg_full(x, sin) 151 #define tan(x) __tg_full(x, tan) 152 #define cosh(x) __tg_full(x, cosh) 153 #define sinh(x) __tg_full(x, sinh) 154 #define tanh(x) __tg_full(x, tanh) 155 #define exp(x) __tg_full(x, exp) 156 #define log(x) __tg_full(x, log) 157 #define pow(x, y) __tg_full2(x, y, pow) 158 #define sqrt(x) __tg_full(x, sqrt) 159 160 /* "The corresponding type-generic macro for fabs and cabs is fabs." */ 161 #define fabs(x) __tg_impl_full(x, x, cabsl, cabs, cabsf, \ 162 fabsl, fabs, fabsf, x) 163 164 /* 7.22#5 -- These macros are only defined for arguments with real type. */ 165 #define atan2(x, y) __tg_simple2(x, y, atan2) 166 #define cbrt(x) __tg_simple(x, cbrt) 167 #define ceil(x) __tg_simple(x, ceil) 168 #define copysign(x, y) __tg_simple2(x, y, copysign) 169 #define erf(x) __tg_simple(x, erf) 170 #define erfc(x) __tg_simple(x, erfc) 171 #define exp2(x) __tg_simple(x, exp2) 172 #define expm1(x) __tg_simple(x, expm1) 173 #define fdim(x, y) __tg_simple2(x, y, fdim) 174 #define floor(x) __tg_simple(x, floor) 175 #define fma(x, y, z) __tg_simple3(x, y, z, fma) 176 #define fmax(x, y) __tg_simple2(x, y, fmax) 177 #define fmin(x, y) __tg_simple2(x, y, fmin) 178 #define fmod(x, y) __tg_simple2(x, y, fmod) 179 #define frexp(x, y) __tg_simplev(x, frexp, x, y) 180 #define hypot(x, y) __tg_simple2(x, y, hypot) 181 #define ilogb(x) __tg_simple(x, ilogb) 182 #define ldexp(x, y) __tg_simplev(x, ldexp, x, y) 183 #define lgamma(x) __tg_simple(x, lgamma) 184 #define llrint(x) __tg_simple(x, llrint) 185 #define llround(x) __tg_simple(x, llround) 186 #define log10(x) __tg_simple(x, log10) 187 #define log1p(x) __tg_simple(x, log1p) 188 #define log2(x) __tg_simple(x, log2) 189 #define logb(x) __tg_simple(x, logb) 190 #define lrint(x) __tg_simple(x, lrint) 191 #define lround(x) __tg_simple(x, lround) 192 #define nearbyint(x) __tg_simple(x, nearbyint) 193 #define nextafter(x, y) __tg_simple2(x, y, nextafter) 194 #define nexttoward(x, y) __tg_simplev(x, nexttoward, x, y) 195 #define remainder(x, y) __tg_simple2(x, y, remainder) 196 #define remquo(x, y, z) __tg_impl_simple(x, x, y, remquol, remquo, \ 197 remquof, x, y, z) 198 #define rint(x) __tg_simple(x, rint) 199 #define round(x) __tg_simple(x, round) 200 #define scalbn(x, y) __tg_simplev(x, scalbn, x, y) 201 #define scalbln(x, y) __tg_simplev(x, scalbln, x, y) 202 #define tgamma(x) __tg_simple(x, tgamma) 203 #define trunc(x) __tg_simple(x, trunc) 204 205 /* 7.22#6 -- These macros always expand to complex functions. */ 206 #define carg(x) __tg_simple(x, carg) 207 #define cimag(x) __tg_simple(x, cimag) 208 #define conj(x) __tg_simple(x, conj) 209 #define cproj(x) __tg_simple(x, cproj) 210 #define creal(x) __tg_simple(x, creal) 211 212 #endif /* !_TGMATH_H_ */ 213