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.
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, see
18 <http://www.gnu.org/licenses/>. */
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
24 This file provides prototype declarations for the math functions.
25 Most functions are declared using the macro:
27 __MATHCALL (NAME, (ARGS...));
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'.
35 Functions returning other types like `int' are declared using the macro:
37 __MATHDECL (TYPE, NAME, (ARGS...));
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. */
44 #error "Never use <bits/cmathcalls.h> directly; include <complex.h> instead."
47 #define _Mdouble_complex_ _Mdouble_ _Complex
50 /* Trigonometric functions. */
52 /* Arc cosine of Z. */
53 __MATHCALL (cacos, (_Mdouble_complex_ __z));
54 libm_hidden_proto(cacos)
56 __MATHCALL (casin, (_Mdouble_complex_ __z));
57 libm_hidden_proto(casin)
58 /* Arc tangent of Z. */
59 __MATHCALL (catan, (_Mdouble_complex_ __z));
60 libm_hidden_proto(catan)
63 __MATHCALL (ccos, (_Mdouble_complex_ __z));
64 libm_hidden_proto(ccos)
66 __MATHCALL (csin, (_Mdouble_complex_ __z));
67 libm_hidden_proto(csin)
69 __MATHCALL (ctan, (_Mdouble_complex_ __z));
70 libm_hidden_proto(ctan)
73 /* Hyperbolic functions. */
75 /* Hyperbolic arc cosine of Z. */
76 __MATHCALL (cacosh, (_Mdouble_complex_ __z));
77 libm_hidden_proto(cacosh)
78 /* Hyperbolic arc sine of Z. */
79 __MATHCALL (casinh, (_Mdouble_complex_ __z));
80 libm_hidden_proto(casinh)
81 /* Hyperbolic arc tangent of Z. */
82 __MATHCALL (catanh, (_Mdouble_complex_ __z));
83 libm_hidden_proto(catanh)
85 /* Hyperbolic cosine of Z. */
86 __MATHCALL (ccosh, (_Mdouble_complex_ __z));
87 libm_hidden_proto(ccosh)
88 /* Hyperbolic sine of Z. */
89 __MATHCALL (csinh, (_Mdouble_complex_ __z));
90 libm_hidden_proto(ccosh)
91 /* Hyperbolic tangent of Z. */
92 __MATHCALL (ctanh, (_Mdouble_complex_ __z));
93 libm_hidden_proto(ctanh)
96 /* Exponential and logarithmic functions. */
98 /* Exponential function of Z. */
99 __MATHCALL (cexp, (_Mdouble_complex_ __z));
100 libm_hidden_proto(cexp)
102 /* Natural logarithm of Z. */
103 __MATHCALL (clog, (_Mdouble_complex_ __z));
104 libm_hidden_proto(clog)
107 /* The base 10 logarithm is not defined by the standard but to implement
108 the standard C++ library it is handy. */
109 __MATHCALL (clog10, (_Mdouble_complex_ __z));
110 libm_hidden_proto(clog10)
113 /* Power functions. */
115 /* Return X to the Y power. */
116 __MATHCALL (cpow, (_Mdouble_complex_ __x, _Mdouble_complex_ __y));
117 libm_hidden_proto(cpow)
119 /* Return the square root of Z. */
120 __MATHCALL (csqrt, (_Mdouble_complex_ __z));
121 libm_hidden_proto(csqrt)
124 /* Absolute value, conjugates, and projection. */
126 /* Absolute value of Z. */
127 __MATHDECL (_Mdouble_,cabs, (_Mdouble_complex_ __z));
128 libm_hidden_proto(cabs)
130 /* Argument value of Z. */
131 __MATHDECL (_Mdouble_,carg, (_Mdouble_complex_ __z));
132 libm_hidden_proto(carg)
134 /* Complex conjugate of Z. */
135 __MATHCALL (conj, (_Mdouble_complex_ __z));
136 libm_hidden_proto(conj)
138 /* Projection of Z onto the Riemann sphere. */
139 __MATHCALL (cproj, (_Mdouble_complex_ __z));
140 libm_hidden_proto(cproj)
143 /* Decomposing complex values. */
145 /* Imaginary part of Z. */
146 __MATHDECL (_Mdouble_,cimag, (_Mdouble_complex_ __z));
147 libm_hidden_proto(cimag)
149 /* Real part of Z. */
150 __MATHDECL (_Mdouble_,creal, (_Mdouble_complex_ __z));
151 libm_hidden_proto(creal)
154 /* Now some optimized versions. GCC has handy notations for these
155 functions. Recent GCC handles these as builtin functions so does
157 #if defined __GNUC__ && !__GNUC_PREREQ (2, 97) && defined __OPTIMIZE__
159 /* Imaginary part of Z. */
160 __extern_inline _Mdouble_
161 __MATH_PRECNAME(cimag) (_Mdouble_complex_ __z) __THROW
166 /* Real part of Z. */
167 __extern_inline _Mdouble_
168 __MATH_PRECNAME(creal) (_Mdouble_complex_ __z) __THROW
173 /* Complex conjugate of Z. */
174 __extern_inline _Mdouble_complex_
175 __MATH_PRECNAME(conj) (_Mdouble_complex_ __z) __THROW
177 return __extension__ ~__z;