1 /* Prototype declarations for complex math functions;
2 helper file for <complex.h>.
3 Copyright (C) 1997, 1998, 2001, 2007 Free Software Foundation, Inc.
4 This file is part of the GNU C Library.
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.
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.
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
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
25 This file provides prototype declarations for the math functions.
26 Most functions are declared using the macro:
28 __MATHCALL (NAME, (ARGS...));
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'.
36 Functions returning other types like `int' are declared using the macro:
38 __MATHDECL (TYPE, NAME, (ARGS...));
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. */
45 #error "Never use <bits/cmathcalls.h> directly; include <complex.h> instead."
48 #define _Mdouble_complex_ _Mdouble_ _Complex
51 /* Trigonometric functions. */
53 /* Arc cosine of Z. */
54 __MATHCALL (cacos
, (_Mdouble_complex_ __z
));
56 __MATHCALL (casin
, (_Mdouble_complex_ __z
));
57 /* Arc tangent of Z. */
58 __MATHCALL (catan
, (_Mdouble_complex_ __z
));
61 __MATHCALL (ccos
, (_Mdouble_complex_ __z
));
63 __MATHCALL (csin
, (_Mdouble_complex_ __z
));
65 __MATHCALL (ctan
, (_Mdouble_complex_ __z
));
68 /* Hyperbolic functions. */
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
));
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
));
85 /* Exponential and logarithmic functions. */
87 /* Exponential function of Z. */
88 __MATHCALL (cexp
, (_Mdouble_complex_ __z
));
90 /* Natural logarithm of Z. */
91 __MATHCALL (clog
, (_Mdouble_complex_ __z
));
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
));
99 /* Power functions. */
101 /* Return X to the Y power. */
102 __MATHCALL (cpow
, (_Mdouble_complex_ __x
, _Mdouble_complex_ __y
));
104 /* Return the square root of Z. */
105 __MATHCALL (csqrt
, (_Mdouble_complex_ __z
));
108 /* Absolute value, conjugates, and projection. */
110 /* Absolute value of Z. */
111 __MATHDECL (_Mdouble_
,cabs
, (_Mdouble_complex_ __z
));
113 /* Argument value of Z. */
114 __MATHDECL (_Mdouble_
,carg
, (_Mdouble_complex_ __z
));
116 /* Complex conjugate of Z. */
117 __MATHCALL (conj
, (_Mdouble_complex_ __z
));
119 /* Projection of Z onto the Riemann sphere. */
120 __MATHCALL (cproj
, (_Mdouble_complex_ __z
));
123 /* Decomposing complex values. */
125 /* Imaginary part of Z. */
126 __MATHDECL (_Mdouble_
,cimag
, (_Mdouble_complex_ __z
));
128 /* Real part of Z. */
129 __MATHDECL (_Mdouble_
,creal
, (_Mdouble_complex_ __z
));
132 /* Now some optimized versions. GCC has handy notations for these
133 functions. Recent GCC handles these as builtin functions so does
135 #if defined __GNUC__ && !__GNUC_PREREQ (2, 97) && defined __OPTIMIZE__ \
136 && defined __extern_inline
138 /* Imaginary part of Z. */
139 __extern_inline _Mdouble_
140 __MATH_PRECNAME(cimag
) (_Mdouble_complex_ __z
) __THROW
145 /* Real part of Z. */
146 __extern_inline _Mdouble_
147 __MATH_PRECNAME(creal
) (_Mdouble_complex_ __z
) __THROW
152 /* Complex conjugate of Z. */
153 __extern_inline _Mdouble_complex_
154 __MATH_PRECNAME(conj
) (_Mdouble_complex_ __z
) __THROW
156 return __extension__
~__z
;