| 1 | /* http://pubs.opengroup.org/onlinepubs/9699919799/basedefs/tgmath.h.html */ |
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| 2 | /*- |
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| 3 | * Copyright (c) 2004 Stefan Farfeleder. |
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| 4 | * All rights reserved. |
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| 5 | * |
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| 6 | * Redistribution and use in source and binary forms, with or without |
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| 7 | * modification, are permitted provided that the following conditions |
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| 8 | * are met: |
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| 9 | * 1. Redistributions of source code must retain the above copyright |
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| 10 | * notice, this list of conditions and the following disclaimer. |
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| 11 | * 2. Redistributions in binary form must reproduce the above copyright |
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| 12 | * notice, this list of conditions and the following disclaimer in the |
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| 13 | * documentation and/or other materials provided with the distribution. |
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| 14 | * |
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| 15 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND |
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| 16 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
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| 17 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
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| 18 | * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE |
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| 19 | * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
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| 20 | * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS |
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| 21 | * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
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| 22 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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| 23 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY |
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| 24 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
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| 25 | * SUCH DAMAGE. |
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| 26 | * |
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| 27 | * $FreeBSD$ |
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| 28 | */ |
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| 29 | |
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| 30 | #ifndef _TGMATH_H_ |
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| 31 | #define _TGMATH_H_ |
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| 32 | |
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| 33 | #include <complex.h> |
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| 34 | #include <math.h> |
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| 35 | |
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| 36 | #ifdef log2 |
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| 37 | #undef log2 |
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| 38 | #endif |
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| 39 | |
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| 40 | /* |
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| 41 | * This implementation of <tgmath.h> requires two implementation-dependent |
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| 42 | * macros to be defined: |
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| 43 | * __tg_impl_simple(x, y, z, fn, fnf, fnl, ...) |
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| 44 | * Invokes fnl() if the corresponding real type of x, y or z is long |
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| 45 | * double, fn() if it is double or any has an integer type, and fnf() |
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| 46 | * otherwise. |
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| 47 | * __tg_impl_full(x, y, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...) |
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| 48 | * Invokes [c]fnl() if the corresponding real type of x, y or z is long |
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| 49 | * double, [c]fn() if it is double or any has an integer type, and |
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| 50 | * [c]fnf() otherwise. The function with the 'c' prefix is called if |
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| 51 | * any of x, y or z is a complex number. |
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| 52 | * Both macros call the chosen function with all additional arguments passed |
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| 53 | * to them, as given by __VA_ARGS__. |
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| 54 | * |
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| 55 | * Note that these macros cannot be implemented with C's ?: operator, |
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| 56 | * because the return type of the whole expression would incorrectly be long |
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| 57 | * double complex regardless of the argument types. |
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| 58 | */ |
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| 59 | |
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| 60 | /* requires GCC >= 3.1 */ |
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| 61 | #if !__GNUC_PREREQ (3, 1) |
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| 62 | #error "<tgmath.h> not implemented for this compiler" |
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| 63 | #endif |
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| 64 | |
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| 65 | #define __tg_type(__e, __t) \ |
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| 66 | __builtin_types_compatible_p(__typeof__(__e), __t) |
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| 67 | #define __tg_type3(__e1, __e2, __e3, __t) \ |
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| 68 | (__tg_type(__e1, __t) || __tg_type(__e2, __t) || \ |
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| 69 | __tg_type(__e3, __t)) |
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| 70 | #define __tg_type_corr(__e1, __e2, __e3, __t) \ |
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| 71 | (__tg_type3(__e1, __e2, __e3, __t) || \ |
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| 72 | __tg_type3(__e1, __e2, __e3, __t _Complex)) |
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| 73 | #define __tg_integer(__e1, __e2, __e3) \ |
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| 74 | (((__typeof__(__e1))1.5 == 1) || ((__typeof__(__e2))1.5 == 1) || \ |
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| 75 | ((__typeof__(__e3))1.5 == 1)) |
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| 76 | #define __tg_is_complex(__e1, __e2, __e3) \ |
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| 77 | (__tg_type3(__e1, __e2, __e3, float _Complex) || \ |
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| 78 | __tg_type3(__e1, __e2, __e3, double _Complex) || \ |
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| 79 | __tg_type3(__e1, __e2, __e3, long double _Complex) || \ |
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| 80 | __tg_type3(__e1, __e2, __e3, __typeof__(_Complex_I))) |
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| 81 | |
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| 82 | #if defined (_LDBL_EQ_DBL) || defined (__CYGWIN__) |
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| 83 | #define __tg_impl_simple(x, y, z, fn, fnf, fnl, ...) \ |
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| 84 | __builtin_choose_expr(__tg_type_corr(x, y, z, long double), \ |
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| 85 | fnl(__VA_ARGS__), __builtin_choose_expr( \ |
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| 86 | __tg_type_corr(x, y, z, double) || __tg_integer(x, y, z),\ |
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| 87 | fn(__VA_ARGS__), fnf(__VA_ARGS__))) |
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| 88 | #else |
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| 89 | #define __tg_impl_simple(__x, __y, __z, __fn, __fnf, __fnl, ...) \ |
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| 90 | (__tg_type_corr(__x, __y, __z, double) || __tg_integer(__x, __y, __z)) \ |
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| 91 | ? __fn(__VA_ARGS__) : __fnf(__VA_ARGS__) |
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| 92 | #endif |
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| 93 | |
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| 94 | #define __tg_impl_full(__x, __y, __z, __fn, __fnf, __fnl, __cfn, __cfnf, __cfnl, ...) \ |
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| 95 | __builtin_choose_expr(__tg_is_complex(__x, __y, __z), \ |
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| 96 | __tg_impl_simple(__x, __y, __z, __cfn, __cfnf, __cfnl, __VA_ARGS__), \ |
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| 97 | __tg_impl_simple(__x, __y, __z, __fn, __fnf, __fnl, __VA_ARGS__)) |
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| 98 | |
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| 99 | /* Macros to save lots of repetition below */ |
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| 100 | #define __tg_simple(__x, __fn) \ |
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| 101 | __tg_impl_simple(__x, __x, __x, __fn, __fn##f, __fn##l, __x) |
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| 102 | #define __tg_simple2(__x, __y, __fn) \ |
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| 103 | __tg_impl_simple(__x, __x, __y, __fn, __fn##f, __fn##l, __x, __y) |
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| 104 | #define __tg_simplev(__x, __fn, ...) \ |
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| 105 | __tg_impl_simple(__x, __x, __x, __fn, __fn##f, __fn##l, __VA_ARGS__) |
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| 106 | #define __tg_full(__x, __fn) \ |
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| 107 | __tg_impl_full(__x, __x, __x, __fn, __fn##f, __fn##l, c##__fn, c##__fn##f, c##__fn##l, __x) |
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| 108 | |
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| 109 | /* 7.22#4 -- These macros expand to real or complex functions, depending on |
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| 110 | * the type of their arguments. */ |
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| 111 | #define acos(__x) __tg_full(__x, acos) |
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| 112 | #define asin(__x) __tg_full(__x, asin) |
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| 113 | #define atan(__x) __tg_full(__x, atan) |
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| 114 | #define acosh(__x) __tg_full(__x, acosh) |
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| 115 | #define asinh(__x) __tg_full(__x, asinh) |
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| 116 | #define atanh(__x) __tg_full(__x, atanh) |
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| 117 | #define cos(__x) __tg_full(__x, cos) |
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| 118 | #define sin(__x) __tg_full(__x, sin) |
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| 119 | #define tan(__x) __tg_full(__x, tan) |
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| 120 | #define cosh(__x) __tg_full(__x, cosh) |
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| 121 | #define sinh(__x) __tg_full(__x, sinh) |
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| 122 | #define tanh(__x) __tg_full(__x, tanh) |
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| 123 | #define exp(__x) __tg_full(__x, exp) |
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| 124 | #define log(__x) __tg_full(__x, log) |
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| 125 | #define pow(__x, __y) __tg_impl_full(__x, __x, __y, pow, powf, powl, \ |
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| 126 | cpow, cpowf, cpowl, __x, __y) |
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| 127 | #define sqrt(__x) __tg_full(__x, sqrt) |
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| 128 | |
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| 129 | /* "The corresponding type-generic macro for fabs and cabs is fabs." */ |
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| 130 | #define fabs(__x) __tg_impl_full(__x, __x, __x, fabs, fabsf, fabsl, \ |
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| 131 | cabs, cabsf, cabsl, __x) |
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| 132 | |
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| 133 | /* 7.22#5 -- These macros are only defined for arguments with real type. */ |
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| 134 | #define atan2(__x, __y) __tg_simple2(__x, __y, atan2) |
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| 135 | #define cbrt(__x) __tg_simple(__x, cbrt) |
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| 136 | #define ceil(__x) __tg_simple(__x, ceil) |
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| 137 | #define copysign(__x, __y) __tg_simple2(__x, __y, copysign) |
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| 138 | #define erf(__x) __tg_simple(__x, erf) |
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| 139 | #define erfc(__x) __tg_simple(__x, erfc) |
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| 140 | #define exp2(__x) __tg_simple(__x, exp2) |
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| 141 | #define expm1(__x) __tg_simple(__x, expm1) |
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| 142 | #define fdim(__x, __y) __tg_simple2(__x, __y, fdim) |
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| 143 | #define floor(__x) __tg_simple(__x, floor) |
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| 144 | #define fma(__x, __y, __z) __tg_impl_simple(__x, __y, __z, fma, fmaf, fmal, \ |
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| 145 | __x, __y, __z) |
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| 146 | #define fmax(__x, __y) __tg_simple2(__x, __y, fmax) |
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| 147 | #define fmin(__x, __y) __tg_simple2(__x, __y, fmin) |
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| 148 | #define fmod(__x, __y) __tg_simple2(__x, __y, fmod) |
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| 149 | #define frexp(__x, __y) __tg_simplev(__x, frexp, __x, __y) |
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| 150 | #define hypot(__x, __y) __tg_simple2(__x, __y, hypot) |
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| 151 | #define ilogb(__x) __tg_simple(__x, ilogb) |
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| 152 | #define ldexp(__x, __y) __tg_simplev(__x, ldexp, __x, __y) |
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| 153 | #define lgamma(__x) __tg_simple(__x, lgamma) |
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| 154 | #define llrint(__x) __tg_simple(__x, llrint) |
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| 155 | #define llround(__x) __tg_simple(__x, llround) |
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| 156 | #define log10(__x) __tg_simple(__x, log10) |
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| 157 | #define log1p(__x) __tg_simple(__x, log1p) |
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| 158 | #define log2(__x) __tg_simple(__x, log2) |
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| 159 | #define logb(__x) __tg_simple(__x, logb) |
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| 160 | #define lrint(__x) __tg_simple(__x, lrint) |
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| 161 | #define lround(__x) __tg_simple(__x, lround) |
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| 162 | #define nearbyint(__x) __tg_simple(__x, nearbyint) |
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| 163 | #define nextafter(__x, __y) __tg_simple2(__x, __y, nextafter) |
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| 164 | /* not yet implemented even for _LDBL_EQ_DBL platforms */ |
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| 165 | #ifdef __CYGWIN__ |
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| 166 | #define nexttoward(__x, __y) __tg_simplev(__x, nexttoward, __x, __y) |
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| 167 | #endif |
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| 168 | #define remainder(__x, __y) __tg_simple2(__x, __y, remainder) |
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| 169 | #define remquo(__x, __y, __z) __tg_impl_simple(__x, __x, __y, remquo, remquof, \ |
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| 170 | remquol, __x, __y, __z) |
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| 171 | #define rint(__x) __tg_simple(__x, rint) |
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| 172 | #define round(__x) __tg_simple(__x, round) |
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| 173 | #define scalbn(__x, __y) __tg_simplev(__x, scalbn, __x, __y) |
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| 174 | #define scalbln(__x, __y) __tg_simplev(__x, scalbln, __x, __y) |
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| 175 | #define tgamma(__x) __tg_simple(__x, tgamma) |
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| 176 | #define trunc(__x) __tg_simple(__x, trunc) |
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| 177 | |
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| 178 | /* 7.22#6 -- These macros always expand to complex functions. */ |
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| 179 | #define carg(__x) __tg_simple(__x, carg) |
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| 180 | #define cimag(__x) __tg_simple(__x, cimag) |
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| 181 | #define conj(__x) __tg_simple(__x, conj) |
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| 182 | #define cproj(__x) __tg_simple(__x, cproj) |
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| 183 | #define creal(__x) __tg_simple(__x, creal) |
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| 184 | |
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| 185 | #endif /* !_TGMATH_H_ */ |
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