1/* Copyright (C) 1997-2024 Free Software Foundation, Inc.
2 This file is part of the GNU C Library.
3
4 The GNU C Library is free software; you can redistribute it and/or
5 modify it under the terms of the GNU Lesser General Public
6 License as published by the Free Software Foundation; either
7 version 2.1 of the License, or (at your option) any later version.
8
9 The GNU C Library is distributed in the hope that it will be useful,
10 but WITHOUT ANY WARRANTY; without even the implied warranty of
11 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
12 Lesser General Public License for more details.
13
14 You should have received a copy of the GNU Lesser General Public
15 License along with the GNU C Library; if not, see
16 <https://www.gnu.org/licenses/>. */
17
18/*
19 * ISO C99: 7.3 Complex arithmetic <complex.h>
20 */
21
22#ifndef _COMPLEX_H
23#define _COMPLEX_H 1
24
25#define __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION
26#include <bits/libc-header-start.h>
27
28/* Get general and ISO C99 specific information. */
29#include <bits/mathdef.h>
30
31/* Gather machine-dependent _FloatN type support. */
32#include <bits/floatn.h>
33
34__BEGIN_DECLS
35
36/* We might need to add support for more compilers here. But since ISO
37 C99 is out hopefully all maintained compilers will soon provide the data
38 types `float complex' and `double complex'. */
39#if __GNUC_PREREQ (2, 7) && !__GNUC_PREREQ (2, 97)
40# define _Complex __complex__
41#endif
42
43#define complex _Complex
44
45/* Narrowest imaginary unit. This depends on the floating-point
46 evaluation method.
47 XXX This probably has to go into a gcc related file. */
48#define _Complex_I (__extension__ 1.0iF)
49
50/* Another more descriptive name is `I'.
51 XXX Once we have the imaginary support switch this to _Imaginary_I. */
52#undef I
53#define I _Complex_I
54
55#if defined __USE_ISOC11 && __GNUC_PREREQ (4, 7)
56/* Macros to expand into expression of specified complex type. */
57# define CMPLX(x, y) __builtin_complex ((double) (x), (double) (y))
58# define CMPLXF(x, y) __builtin_complex ((float) (x), (float) (y))
59# define CMPLXL(x, y) __builtin_complex ((long double) (x), (long double) (y))
60#endif
61
62#if __HAVE_FLOAT16 && __GLIBC_USE (IEC_60559_TYPES_EXT)
63# define CMPLXF16(x, y) __builtin_complex ((_Float16) (x), (_Float16) (y))
64#endif
65
66#if __HAVE_FLOAT32 && __GLIBC_USE (IEC_60559_TYPES_EXT)
67# define CMPLXF32(x, y) __builtin_complex ((_Float32) (x), (_Float32) (y))
68#endif
69
70#if __HAVE_FLOAT64 && __GLIBC_USE (IEC_60559_TYPES_EXT)
71# define CMPLXF64(x, y) __builtin_complex ((_Float64) (x), (_Float64) (y))
72#endif
73
74#if __HAVE_FLOAT128 && __GLIBC_USE (IEC_60559_TYPES_EXT)
75# define CMPLXF128(x, y) __builtin_complex ((_Float128) (x), (_Float128) (y))
76#endif
77
78#if __HAVE_FLOAT32X && __GLIBC_USE (IEC_60559_TYPES_EXT)
79# define CMPLXF32X(x, y) __builtin_complex ((_Float32x) (x), (_Float32x) (y))
80#endif
81
82#if __HAVE_FLOAT64X && __GLIBC_USE (IEC_60559_TYPES_EXT)
83# define CMPLXF64X(x, y) __builtin_complex ((_Float64x) (x), (_Float64x) (y))
84#endif
85
86#if __HAVE_FLOAT128X && __GLIBC_USE (IEC_60559_TYPES_EXT)
87# define CMPLXF128X(x, y) \
88 __builtin_complex ((_Float128x) (x), (_Float128x) (y))
89#endif
90
91/* The file <bits/cmathcalls.h> contains the prototypes for all the
92 actual math functions. These macros are used for those prototypes,
93 so we can easily declare each function as both `name' and `__name',
94 and can declare the float versions `namef' and `__namef'. */
95
96#define __MATHCALL(function, args) \
97 __MATHDECL (_Mdouble_complex_,function, args)
98#define __MATHDECL_IMPL(type, function, args) \
99 __MATHDECL_1(type, function, args); \
100 __MATHDECL_1(type, __CONCAT(__,function), args)
101#define __MATHDECL(type, function, args) \
102 __MATHDECL_IMPL(type, function, args)
103#define __MATHDECL_1_IMPL(type, function, args) \
104 extern type __MATH_PRECNAME(function) args __THROW
105#define __MATHDECL_1(type, function, args) \
106 __MATHDECL_1_IMPL(type, function, args)
107
108#define _Mdouble_ double
109#define __MATH_PRECNAME(name) name
110#include <bits/cmathcalls.h>
111#undef _Mdouble_
112#undef __MATH_PRECNAME
113
114/* Now the float versions. */
115#define _Mdouble_ float
116#define __MATH_PRECNAME(name) name##f
117#include <bits/cmathcalls.h>
118#undef _Mdouble_
119#undef __MATH_PRECNAME
120
121/* And the long double versions. It is non-critical to define them
122 here unconditionally since `long double' is required in ISO C99. */
123#if !(defined __NO_LONG_DOUBLE_MATH && defined _LIBC) \
124 || defined __LDBL_COMPAT
125# ifdef __LDBL_COMPAT
126# undef __MATHDECL_1
127# define __MATHDECL_1(type, function, args) \
128 extern type __REDIRECT_NTH(__MATH_PRECNAME(function), args, function)
129# elif __LDOUBLE_REDIRECTS_TO_FLOAT128_ABI == 1
130# undef __MATHDECL_1
131# undef __MATHDECL
132# define __REDIR_TO(function) \
133 __ ## function ## ieee128
134# define __MATHDECL_1(type, function, alias, args) \
135 extern type __REDIRECT_NTH(__MATH_PRECNAME(function), args, alias)
136#define __MATHDECL(type, function, args) \
137 __MATHDECL_1(type, function, __REDIR_TO(function), args); \
138 __MATHDECL_1(type, __CONCAT(__,function), __REDIR_TO(function), args)
139# endif
140
141# define _Mdouble_ long double
142# define __MATH_PRECNAME(name) name##l
143# include <bits/cmathcalls.h>
144# if defined __LDBL_COMPAT \
145 || __LDOUBLE_REDIRECTS_TO_FLOAT128_ABI == 1
146# undef __REDIR_TO
147# undef __MATHDECL_1
148# undef __MATHDECL
149#define __MATHDECL(type, function, args) \
150 __MATHDECL_IMPL(type, function, args)
151# define __MATHDECL_1(type, function, args) \
152 __MATHDECL_1_IMPL(type, function, args)
153# endif
154#endif
155#undef _Mdouble_
156#undef __MATH_PRECNAME
157
158#if (__HAVE_DISTINCT_FLOAT16 || (__HAVE_FLOAT16 && !defined _LIBC)) \
159 && __GLIBC_USE (IEC_60559_TYPES_EXT)
160# undef _Mdouble_complex_
161# define _Mdouble_complex_ __CFLOAT16
162# define _Mdouble_ _Float16
163# define __MATH_PRECNAME(name) name##f16
164# include <bits/cmathcalls.h>
165# undef _Mdouble_
166# undef __MATH_PRECNAME
167# undef _Mdouble_complex_
168#endif
169
170#if (__HAVE_DISTINCT_FLOAT32 || (__HAVE_FLOAT32 && !defined _LIBC)) \
171 && __GLIBC_USE (IEC_60559_TYPES_EXT)
172# undef _Mdouble_complex_
173# define _Mdouble_complex_ __CFLOAT32
174# define _Mdouble_ _Float32
175# define __MATH_PRECNAME(name) name##f32
176# include <bits/cmathcalls.h>
177# undef _Mdouble_
178# undef __MATH_PRECNAME
179# undef _Mdouble_complex_
180#endif
181
182#if (__HAVE_DISTINCT_FLOAT64 || (__HAVE_FLOAT64 && !defined _LIBC)) \
183 && __GLIBC_USE (IEC_60559_TYPES_EXT)
184# undef _Mdouble_complex_
185# define _Mdouble_complex_ __CFLOAT64
186# define _Mdouble_ _Float64
187# define __MATH_PRECNAME(name) name##f64
188# include <bits/cmathcalls.h>
189# undef _Mdouble_
190# undef __MATH_PRECNAME
191# undef _Mdouble_complex_
192#endif
193
194#if (__HAVE_DISTINCT_FLOAT128 || (__HAVE_FLOAT128 && !defined _LIBC)) \
195 && __GLIBC_USE (IEC_60559_TYPES_EXT)
196# undef _Mdouble_complex_
197# define _Mdouble_complex_ __CFLOAT128
198# define _Mdouble_ _Float128
199# define __MATH_PRECNAME(name) name##f128
200# include <bits/cmathcalls.h>
201# undef _Mdouble_
202# undef __MATH_PRECNAME
203# undef _Mdouble_complex_
204#endif
205
206#if (__HAVE_DISTINCT_FLOAT32X || (__HAVE_FLOAT32X && !defined _LIBC)) \
207 && __GLIBC_USE (IEC_60559_TYPES_EXT)
208# undef _Mdouble_complex_
209# define _Mdouble_complex_ __CFLOAT32X
210# define _Mdouble_ _Float32x
211# define __MATH_PRECNAME(name) name##f32x
212# include <bits/cmathcalls.h>
213# undef _Mdouble_
214# undef __MATH_PRECNAME
215# undef _Mdouble_complex_
216#endif
217
218#if (__HAVE_DISTINCT_FLOAT64X || (__HAVE_FLOAT64X && !defined _LIBC)) \
219 && __GLIBC_USE (IEC_60559_TYPES_EXT)
220# undef _Mdouble_complex_
221# define _Mdouble_complex_ __CFLOAT64X
222# define _Mdouble_ _Float64x
223# define __MATH_PRECNAME(name) name##f64x
224# include <bits/cmathcalls.h>
225# undef _Mdouble_
226# undef __MATH_PRECNAME
227# undef _Mdouble_complex_
228#endif
229
230#if (__HAVE_DISTINCT_FLOAT128X || (__HAVE_FLOAT128X && !defined _LIBC)) \
231 && __GLIBC_USE (IEC_60559_TYPES_EXT)
232# undef _Mdouble_complex_
233# define _Mdouble_complex_ __CFLOAT128X
234# define _Mdouble_ _Float128x
235# define __MATH_PRECNAME(name) name##f128x
236# include <bits/cmathcalls.h>
237# undef _Mdouble_
238# undef __MATH_PRECNAME
239# undef _Mdouble_complex_
240#endif
241
242#undef __MATHDECL_1_IMPL
243#undef __MATHDECL_1
244#undef __MATHDECL
245#undef __MATHCALL
246
247__END_DECLS
248
249#endif /* complex.h */
250

source code of glibc/math/complex.h