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1/* Prototype declarations for complex math functions;
2 helper file for <complex.h>.
3 Copyright (C) 1997-2017 Free Software Foundation, Inc.
4 This file is part of the GNU C Library.
5
6 The GNU C Library is free software; you can redistribute it and/or
7 modify it under the terms of the GNU Lesser General Public
8 License as published by the Free Software Foundation; either
9 version 2.1 of the License, or (at your option) any later version.
10
11 The GNU C Library is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 Lesser General Public License for more details.
15
16 You should have received a copy of the GNU Lesser General Public
17 License along with the GNU C Library; if not, see
18 <http://www.gnu.org/licenses/>. */
19
20/* NOTE: Because of the special way this file is used by <complex.h>, this
21 file must NOT be protected from multiple inclusion as header files
22 usually are.
23
24 This file provides prototype declarations for the math functions.
25 Most functions are declared using the macro:
26
27 __MATHCALL (NAME, (ARGS...));
28
29 This means there is a function `NAME' returning `double' and a function
30 `NAMEf' returning `float'. Each place `_Mdouble_' appears in the
31 prototype, that is actually `double' in the prototype for `NAME' and
32 `float' in the prototype for `NAMEf'. Reentrant variant functions are
33 called `NAME_r' and `NAMEf_r'.
34
35 Functions returning other types like `int' are declared using the macro:
36
37 __MATHDECL (TYPE, NAME, (ARGS...));
38
39 This is just like __MATHCALL but for a function returning `TYPE'
40 instead of `_Mdouble_'. In all of these cases, there is still
41 both a `NAME' and a `NAMEf' that takes `float' arguments. */
42
43#ifndef _COMPLEX_H
44#error "Never use <bits/cmathcalls.h> directly; include <complex.h> instead."
45#endif
46
47#ifndef _Mdouble_complex_
48# define _Mdouble_complex_ _Mdouble_ _Complex
49#endif
50
51
52/* Trigonometric functions. */
53
54/* Arc cosine of Z. */
55__MATHCALL (cacos, (_Mdouble_complex_ __z));
56/* Arc sine of Z. */
57__MATHCALL (casin, (_Mdouble_complex_ __z));
58/* Arc tangent of Z. */
59__MATHCALL (catan, (_Mdouble_complex_ __z));
60
61/* Cosine of Z. */
62__MATHCALL (ccos, (_Mdouble_complex_ __z));
63/* Sine of Z. */
64__MATHCALL (csin, (_Mdouble_complex_ __z));
65/* Tangent of Z. */
66__MATHCALL (ctan, (_Mdouble_complex_ __z));
67
68
69/* Hyperbolic functions. */
70
71/* Hyperbolic arc cosine of Z. */
72__MATHCALL (cacosh, (_Mdouble_complex_ __z));
73/* Hyperbolic arc sine of Z. */
74__MATHCALL (casinh, (_Mdouble_complex_ __z));
75/* Hyperbolic arc tangent of Z. */
76__MATHCALL (catanh, (_Mdouble_complex_ __z));
77
78/* Hyperbolic cosine of Z. */
79__MATHCALL (ccosh, (_Mdouble_complex_ __z));
80/* Hyperbolic sine of Z. */
81__MATHCALL (csinh, (_Mdouble_complex_ __z));
82/* Hyperbolic tangent of Z. */
83__MATHCALL (ctanh, (_Mdouble_complex_ __z));
84
85
86/* Exponential and logarithmic functions. */
87
88/* Exponential function of Z. */
89__MATHCALL (cexp, (_Mdouble_complex_ __z));
90
91/* Natural logarithm of Z. */
92__MATHCALL (clog, (_Mdouble_complex_ __z));
93
94#ifdef __USE_GNU
95/* The base 10 logarithm is not defined by the standard but to implement
96 the standard C++ library it is handy. */
97__MATHCALL (clog10, (_Mdouble_complex_ __z));
98#endif
99
100/* Power functions. */
101
102/* Return X to the Y power. */
103__MATHCALL (cpow, (_Mdouble_complex_ __x, _Mdouble_complex_ __y));
104
105/* Return the square root of Z. */
106__MATHCALL (csqrt, (_Mdouble_complex_ __z));
107
108
109/* Absolute value, conjugates, and projection. */
110
111/* Absolute value of Z. */
112__MATHDECL (_Mdouble_,cabs, (_Mdouble_complex_ __z));
113
114/* Argument value of Z. */
115__MATHDECL (_Mdouble_,carg, (_Mdouble_complex_ __z));
116
117/* Complex conjugate of Z. */
118__MATHCALL (conj, (_Mdouble_complex_ __z));
119
120/* Projection of Z onto the Riemann sphere. */
121__MATHCALL (cproj, (_Mdouble_complex_ __z));
122
123
124/* Decomposing complex values. */
125
126/* Imaginary part of Z. */
127__MATHDECL (_Mdouble_,cimag, (_Mdouble_complex_ __z));
128
129/* Real part of Z. */
130__MATHDECL (_Mdouble_,creal, (_Mdouble_complex_ __z));
131
132
133/* Now some optimized versions. GCC has handy notations for these
134 functions. Recent GCC handles these as builtin functions so does
135 not need inlines. */
136#if defined __GNUC__ && !__GNUC_PREREQ (2, 97) && defined __OPTIMIZE__ \
137 && defined __extern_inline
138
139/* Imaginary part of Z. */
140__extern_inline _Mdouble_
141__MATH_PRECNAME(cimag) (_Mdouble_complex_ __z) __THROW
142{
143 return __imag__ __z;
144}
145
146/* Real part of Z. */
147__extern_inline _Mdouble_
148__MATH_PRECNAME(creal) (_Mdouble_complex_ __z) __THROW
149{
150 return __real__ __z;
151}
152
153/* Complex conjugate of Z. */
154__extern_inline _Mdouble_complex_
155__MATH_PRECNAME(conj) (_Mdouble_complex_ __z) __THROW
156{
157 return __extension__ ~__z;
158}
159
160#endif
161

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