[444] | 1 | /* http://pubs.opengroup.org/onlinepubs/9699919799/basedefs/tgmath.h.html */ |
---|
| 2 | /*- |
---|
| 3 | * Copyright (c) 2004 Stefan Farfeleder. |
---|
| 4 | * All rights reserved. |
---|
| 5 | * |
---|
| 6 | * Redistribution and use in source and binary forms, with or without |
---|
| 7 | * modification, are permitted provided that the following conditions |
---|
| 8 | * are met: |
---|
| 9 | * 1. Redistributions of source code must retain the above copyright |
---|
| 10 | * notice, this list of conditions and the following disclaimer. |
---|
| 11 | * 2. Redistributions in binary form must reproduce the above copyright |
---|
| 12 | * notice, this list of conditions and the following disclaimer in the |
---|
| 13 | * documentation and/or other materials provided with the distribution. |
---|
| 14 | * |
---|
| 15 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND |
---|
| 16 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
---|
| 17 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
---|
| 18 | * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE |
---|
| 19 | * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
---|
| 20 | * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS |
---|
| 21 | * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
---|
| 22 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
---|
| 23 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY |
---|
| 24 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
---|
| 25 | * SUCH DAMAGE. |
---|
| 26 | * |
---|
| 27 | * $FreeBSD$ |
---|
| 28 | */ |
---|
| 29 | |
---|
| 30 | #ifndef _TGMATH_H_ |
---|
| 31 | #define _TGMATH_H_ |
---|
| 32 | |
---|
| 33 | #include <complex.h> |
---|
| 34 | #include <math.h> |
---|
| 35 | |
---|
| 36 | #ifdef log2 |
---|
| 37 | #undef log2 |
---|
| 38 | #endif |
---|
| 39 | |
---|
| 40 | /* |
---|
| 41 | * This implementation of <tgmath.h> requires two implementation-dependent |
---|
| 42 | * macros to be defined: |
---|
| 43 | * __tg_impl_simple(x, y, z, fn, fnf, fnl, ...) |
---|
| 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, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...) |
---|
| 48 | * Invokes [c]fnl() if the corresponding real type of x, y or z 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, y or z 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 | |
---|
| 60 | /* requires GCC >= 3.1 */ |
---|
| 61 | #if !__GNUC_PREREQ (3, 1) |
---|
| 62 | #error "<tgmath.h> not implemented for this compiler" |
---|
| 63 | #endif |
---|
| 64 | |
---|
| 65 | #define __tg_type(__e, __t) \ |
---|
| 66 | __builtin_types_compatible_p(__typeof__(__e), __t) |
---|
| 67 | #define __tg_type3(__e1, __e2, __e3, __t) \ |
---|
| 68 | (__tg_type(__e1, __t) || __tg_type(__e2, __t) || \ |
---|
| 69 | __tg_type(__e3, __t)) |
---|
| 70 | #define __tg_type_corr(__e1, __e2, __e3, __t) \ |
---|
| 71 | (__tg_type3(__e1, __e2, __e3, __t) || \ |
---|
| 72 | __tg_type3(__e1, __e2, __e3, __t _Complex)) |
---|
| 73 | #define __tg_integer(__e1, __e2, __e3) \ |
---|
| 74 | (((__typeof__(__e1))1.5 == 1) || ((__typeof__(__e2))1.5 == 1) || \ |
---|
| 75 | ((__typeof__(__e3))1.5 == 1)) |
---|
| 76 | #define __tg_is_complex(__e1, __e2, __e3) \ |
---|
| 77 | (__tg_type3(__e1, __e2, __e3, float _Complex) || \ |
---|
| 78 | __tg_type3(__e1, __e2, __e3, double _Complex) || \ |
---|
| 79 | __tg_type3(__e1, __e2, __e3, long double _Complex) || \ |
---|
| 80 | __tg_type3(__e1, __e2, __e3, __typeof__(_Complex_I))) |
---|
| 81 | |
---|
| 82 | #if defined (_LDBL_EQ_DBL) || defined (__CYGWIN__) |
---|
| 83 | #define __tg_impl_simple(x, y, z, fn, fnf, fnl, ...) \ |
---|
| 84 | __builtin_choose_expr(__tg_type_corr(x, y, z, long double), \ |
---|
| 85 | fnl(__VA_ARGS__), __builtin_choose_expr( \ |
---|
| 86 | __tg_type_corr(x, y, z, double) || __tg_integer(x, y, z),\ |
---|
| 87 | fn(__VA_ARGS__), fnf(__VA_ARGS__))) |
---|
| 88 | #else |
---|
| 89 | #define __tg_impl_simple(__x, __y, __z, __fn, __fnf, __fnl, ...) \ |
---|
| 90 | (__tg_type_corr(__x, __y, __z, double) || __tg_integer(__x, __y, __z)) \ |
---|
| 91 | ? __fn(__VA_ARGS__) : __fnf(__VA_ARGS__) |
---|
| 92 | #endif |
---|
| 93 | |
---|
| 94 | #define __tg_impl_full(__x, __y, __z, __fn, __fnf, __fnl, __cfn, __cfnf, __cfnl, ...) \ |
---|
| 95 | __builtin_choose_expr(__tg_is_complex(__x, __y, __z), \ |
---|
| 96 | __tg_impl_simple(__x, __y, __z, __cfn, __cfnf, __cfnl, __VA_ARGS__), \ |
---|
| 97 | __tg_impl_simple(__x, __y, __z, __fn, __fnf, __fnl, __VA_ARGS__)) |
---|
| 98 | |
---|
| 99 | /* Macros to save lots of repetition below */ |
---|
| 100 | #define __tg_simple(__x, __fn) \ |
---|
| 101 | __tg_impl_simple(__x, __x, __x, __fn, __fn##f, __fn##l, __x) |
---|
| 102 | #define __tg_simple2(__x, __y, __fn) \ |
---|
| 103 | __tg_impl_simple(__x, __x, __y, __fn, __fn##f, __fn##l, __x, __y) |
---|
| 104 | #define __tg_simplev(__x, __fn, ...) \ |
---|
| 105 | __tg_impl_simple(__x, __x, __x, __fn, __fn##f, __fn##l, __VA_ARGS__) |
---|
| 106 | #define __tg_full(__x, __fn) \ |
---|
| 107 | __tg_impl_full(__x, __x, __x, __fn, __fn##f, __fn##l, c##__fn, c##__fn##f, c##__fn##l, __x) |
---|
| 108 | |
---|
| 109 | /* 7.22#4 -- These macros expand to real or complex functions, depending on |
---|
| 110 | * the type of their arguments. */ |
---|
| 111 | #define acos(__x) __tg_full(__x, acos) |
---|
| 112 | #define asin(__x) __tg_full(__x, asin) |
---|
| 113 | #define atan(__x) __tg_full(__x, atan) |
---|
| 114 | #define acosh(__x) __tg_full(__x, acosh) |
---|
| 115 | #define asinh(__x) __tg_full(__x, asinh) |
---|
| 116 | #define atanh(__x) __tg_full(__x, atanh) |
---|
| 117 | #define cos(__x) __tg_full(__x, cos) |
---|
| 118 | #define sin(__x) __tg_full(__x, sin) |
---|
| 119 | #define tan(__x) __tg_full(__x, tan) |
---|
| 120 | #define cosh(__x) __tg_full(__x, cosh) |
---|
| 121 | #define sinh(__x) __tg_full(__x, sinh) |
---|
| 122 | #define tanh(__x) __tg_full(__x, tanh) |
---|
| 123 | #define exp(__x) __tg_full(__x, exp) |
---|
| 124 | #define log(__x) __tg_full(__x, log) |
---|
| 125 | #define pow(__x, __y) __tg_impl_full(__x, __x, __y, pow, powf, powl, \ |
---|
| 126 | cpow, cpowf, cpowl, __x, __y) |
---|
| 127 | #define sqrt(__x) __tg_full(__x, sqrt) |
---|
| 128 | |
---|
| 129 | /* "The corresponding type-generic macro for fabs and cabs is fabs." */ |
---|
| 130 | #define fabs(__x) __tg_impl_full(__x, __x, __x, fabs, fabsf, fabsl, \ |
---|
| 131 | cabs, cabsf, cabsl, __x) |
---|
| 132 | |
---|
| 133 | /* 7.22#5 -- These macros are only defined for arguments with real type. */ |
---|
| 134 | #define atan2(__x, __y) __tg_simple2(__x, __y, atan2) |
---|
| 135 | #define cbrt(__x) __tg_simple(__x, cbrt) |
---|
| 136 | #define ceil(__x) __tg_simple(__x, ceil) |
---|
| 137 | #define copysign(__x, __y) __tg_simple2(__x, __y, copysign) |
---|
| 138 | #define erf(__x) __tg_simple(__x, erf) |
---|
| 139 | #define erfc(__x) __tg_simple(__x, erfc) |
---|
| 140 | #define exp2(__x) __tg_simple(__x, exp2) |
---|
| 141 | #define expm1(__x) __tg_simple(__x, expm1) |
---|
| 142 | #define fdim(__x, __y) __tg_simple2(__x, __y, fdim) |
---|
| 143 | #define floor(__x) __tg_simple(__x, floor) |
---|
| 144 | #define fma(__x, __y, __z) __tg_impl_simple(__x, __y, __z, fma, fmaf, fmal, \ |
---|
| 145 | __x, __y, __z) |
---|
| 146 | #define fmax(__x, __y) __tg_simple2(__x, __y, fmax) |
---|
| 147 | #define fmin(__x, __y) __tg_simple2(__x, __y, fmin) |
---|
| 148 | #define fmod(__x, __y) __tg_simple2(__x, __y, fmod) |
---|
| 149 | #define frexp(__x, __y) __tg_simplev(__x, frexp, __x, __y) |
---|
| 150 | #define hypot(__x, __y) __tg_simple2(__x, __y, hypot) |
---|
| 151 | #define ilogb(__x) __tg_simple(__x, ilogb) |
---|
| 152 | #define ldexp(__x, __y) __tg_simplev(__x, ldexp, __x, __y) |
---|
| 153 | #define lgamma(__x) __tg_simple(__x, lgamma) |
---|
| 154 | #define llrint(__x) __tg_simple(__x, llrint) |
---|
| 155 | #define llround(__x) __tg_simple(__x, llround) |
---|
| 156 | #define log10(__x) __tg_simple(__x, log10) |
---|
| 157 | #define log1p(__x) __tg_simple(__x, log1p) |
---|
| 158 | #define log2(__x) __tg_simple(__x, log2) |
---|
| 159 | #define logb(__x) __tg_simple(__x, logb) |
---|
| 160 | #define lrint(__x) __tg_simple(__x, lrint) |
---|
| 161 | #define lround(__x) __tg_simple(__x, lround) |
---|
| 162 | #define nearbyint(__x) __tg_simple(__x, nearbyint) |
---|
| 163 | #define nextafter(__x, __y) __tg_simple2(__x, __y, nextafter) |
---|
| 164 | /* not yet implemented even for _LDBL_EQ_DBL platforms */ |
---|
| 165 | #ifdef __CYGWIN__ |
---|
| 166 | #define nexttoward(__x, __y) __tg_simplev(__x, nexttoward, __x, __y) |
---|
| 167 | #endif |
---|
| 168 | #define remainder(__x, __y) __tg_simple2(__x, __y, remainder) |
---|
| 169 | #define remquo(__x, __y, __z) __tg_impl_simple(__x, __x, __y, remquo, remquof, \ |
---|
| 170 | remquol, __x, __y, __z) |
---|
| 171 | #define rint(__x) __tg_simple(__x, rint) |
---|
| 172 | #define round(__x) __tg_simple(__x, round) |
---|
| 173 | #define scalbn(__x, __y) __tg_simplev(__x, scalbn, __x, __y) |
---|
| 174 | #define scalbln(__x, __y) __tg_simplev(__x, scalbln, __x, __y) |
---|
| 175 | #define tgamma(__x) __tg_simple(__x, tgamma) |
---|
| 176 | #define trunc(__x) __tg_simple(__x, trunc) |
---|
| 177 | |
---|
| 178 | /* 7.22#6 -- These macros always expand to complex functions. */ |
---|
| 179 | #define carg(__x) __tg_simple(__x, carg) |
---|
| 180 | #define cimag(__x) __tg_simple(__x, cimag) |
---|
| 181 | #define conj(__x) __tg_simple(__x, conj) |
---|
| 182 | #define cproj(__x) __tg_simple(__x, cproj) |
---|
| 183 | #define creal(__x) __tg_simple(__x, creal) |
---|
| 184 | |
---|
| 185 | #endif /* !_TGMATH_H_ */ |
---|