1/* Prototype declarations for complex math functions;
2   helper file for <complex.h>.
3   Copyright (C) 1997, 1998, 2001 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, write to the Free
18   Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
19   02111-1307 USA.  */
20
21/* NOTE: Because of the special way this file is used by <complex.h>, this
22   file must NOT be protected from multiple inclusion as header files
23   usually are.
24
25   This file provides prototype declarations for the math functions.
26   Most functions are declared using the macro:
27
28   __MATHCALL (NAME, (ARGS...));
29
30   This means there is a function `NAME' returning `double' and a function
31   `NAMEf' returning `float'.  Each place `_Mdouble_' appears in the
32   prototype, that is actually `double' in the prototype for `NAME' and
33   `float' in the prototype for `NAMEf'.  Reentrant variant functions are
34   called `NAME_r' and `NAMEf_r'.
35
36   Functions returning other types like `int' are declared using the macro:
37
38   __MATHDECL (TYPE, NAME, (ARGS...));
39
40   This is just like __MATHCALL but for a function returning `TYPE'
41   instead of `_Mdouble_'.  In all of these cases, there is still
42   both a `NAME' and a `NAMEf' that takes `float' arguments.  */
43
44#ifndef _COMPLEX_H
45#error "Never use <bits/cmathcalls.h> directly; include <complex.h> instead."
46#endif
47
48#define _Mdouble_complex_ _Mdouble_ _Complex
49
50
51/* Trigonometric functions.  */
52
53/* Arc cosine of Z.  */
54__MATHCALL (cacos, (_Mdouble_complex_ __z));
55/* Arc sine of Z.  */
56__MATHCALL (casin, (_Mdouble_complex_ __z));
57/* Arc tangent of Z.  */
58__MATHCALL (catan, (_Mdouble_complex_ __z));
59
60/* Cosine of Z.  */
61__MATHCALL (ccos, (_Mdouble_complex_ __z));
62/* Sine of Z.  */
63__MATHCALL (csin, (_Mdouble_complex_ __z));
64/* Tangent of Z.  */
65__MATHCALL (ctan, (_Mdouble_complex_ __z));
66
67
68/* Hyperbolic functions.  */
69
70/* Hyperbolic arc cosine of Z.  */
71__MATHCALL (cacosh, (_Mdouble_complex_ __z));
72/* Hyperbolic arc sine of Z.  */
73__MATHCALL (casinh, (_Mdouble_complex_ __z));
74/* Hyperbolic arc tangent of Z.  */
75__MATHCALL (catanh, (_Mdouble_complex_ __z));
76
77/* Hyperbolic cosine of Z.  */
78__MATHCALL (ccosh, (_Mdouble_complex_ __z));
79/* Hyperbolic sine of Z.  */
80__MATHCALL (csinh, (_Mdouble_complex_ __z));
81/* Hyperbolic tangent of Z.  */
82__MATHCALL (ctanh, (_Mdouble_complex_ __z));
83
84
85/* Exponential and logarithmic functions.  */
86
87/* Exponential function of Z.  */
88__MATHCALL (cexp, (_Mdouble_complex_ __z));
89
90/* Natural logarithm of Z.  */
91__MATHCALL (clog, (_Mdouble_complex_ __z));
92
93#ifdef __USE_GNU
94/* The base 10 logarithm is not defined by the standard but to implement
95   the standard C++ library it is handy.  */
96__MATHCALL (clog10, (_Mdouble_complex_ __z));
97#endif
98
99/* Power functions.  */
100
101/* Return X to the Y power.  */
102__MATHCALL (cpow, (_Mdouble_complex_ __x, _Mdouble_complex_ __y));
103
104/* Return the square root of Z.  */
105__MATHCALL (csqrt, (_Mdouble_complex_ __z));
106
107
108/* Absolute value, conjugates, and projection.  */
109
110/* Absolute value of Z.  */
111__MATHDECL (_Mdouble_,cabs, (_Mdouble_complex_ __z));
112
113/* Argument value of Z.  */
114__MATHDECL (_Mdouble_,carg, (_Mdouble_complex_ __z));
115
116/* Complex conjugate of Z.  */
117__MATHCALL (conj, (_Mdouble_complex_ __z));
118
119/* Projection of Z onto the Riemann sphere.  */
120__MATHCALL (cproj, (_Mdouble_complex_ __z));
121
122
123/* Decomposing complex values.  */
124
125/* Imaginary part of Z.  */
126__MATHDECL (_Mdouble_,cimag, (_Mdouble_complex_ __z));
127
128/* Real part of Z.  */
129__MATHDECL (_Mdouble_,creal, (_Mdouble_complex_ __z));
130
131
132/* Now some optimized versions.  GCC has handy notations for these
133   functions.  Recent GCC handles these as builtin functions so does
134   not need inlines.  */
135#if defined __GNUC__ && !__GNUC_PREREQ (2, 97) && defined __OPTIMIZE__
136
137/* Imaginary part of Z.  */
138extern __inline _Mdouble_
139__MATH_PRECNAME(cimag) (_Mdouble_complex_ __z) __THROW
140{
141  return __imag__ __z;
142}
143
144/* Real part of Z.  */
145extern __inline _Mdouble_
146__MATH_PRECNAME(creal) (_Mdouble_complex_ __z) __THROW
147{
148  return __real__ __z;
149}
150
151/* Complex conjugate of Z.  */
152extern __inline _Mdouble_complex_
153__MATH_PRECNAME(conj) (_Mdouble_complex_ __z) __THROW
154{
155  return __extension__ ~__z;
156}
157
158#endif
159