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