C-XSC - A C++ Class Library for Extended Scientific Computing  2.5.4
l_cimath.hpp
1 /*
2 ** CXSC is a C++ library for eXtended Scientific Computing (V 2.5.4)
3 **
4 ** Copyright (C) 1990-2000 Institut fuer Angewandte Mathematik,
5 ** Universitaet Karlsruhe, Germany
6 ** (C) 2000-2014 Wiss. Rechnen/Softwaretechnologie
7 ** Universitaet Wuppertal, Germany
8 **
9 ** This library is free software; you can redistribute it and/or
10 ** modify it under the terms of the GNU Library General Public
11 ** License as published by the Free Software Foundation; either
12 ** version 2 of the License, or (at your option) any later version.
13 **
14 ** This library is distributed in the hope that it will be useful,
15 ** but WITHOUT ANY WARRANTY; without even the implied warranty of
16 ** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
17 ** Library General Public License for more details.
18 **
19 ** You should have received a copy of the GNU Library General Public
20 ** License along with this library; if not, write to the Free
21 ** Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
22 */
23 
24 /* CVS $Id: l_cimath.hpp,v 1.18 2014/01/30 17:23:46 cxsc Exp $ */
25 
26 /*
27 **
28 ** File: l_cimath.hpp, 2007/03/04
29 **
30 ** Complex l_interval Standard functions LibrarY, Version 1.0
31 **
32 ** Copyright (C) Markus Neher, markus.neher@math.uni-karlsruhe.de
33 ** Ingo Eble, ingoeble@web.de
34 ** Frithjof Blomquist, Blomquist@math.uni-wuppertal.de
35 */
36 
37 
38 #ifndef _CXSC_L_CIMATH_HPP_INCLUDED
39 #define _CXSC_L_CIMATH_HPP_INCLUDED
40 
41 #include "l_cinterval.hpp"
42 #include <list>
43 #include <string>
44 
45 namespace cxsc{
46 
48  l_cinterval exp(const l_cinterval&) noexcept;
50  l_cinterval exp2(const l_cinterval&) noexcept;
52  l_cinterval exp10(const l_cinterval&) noexcept;
54  l_cinterval expm1(const l_cinterval&) noexcept;
56  l_cinterval cos(const l_cinterval&) noexcept;
58  l_cinterval sin(const l_cinterval&) noexcept;
60  l_cinterval cosh(const l_cinterval&) noexcept;
62  l_cinterval sinh(const l_cinterval&) noexcept;
63 
65  l_cinterval sqr(const l_cinterval&) noexcept;
66 
68  l_cinterval tan(const l_cinterval&) noexcept;
70  l_cinterval cot(const l_cinterval&) noexcept;
72  l_cinterval tanh(const l_cinterval&) noexcept;
74  l_cinterval coth(const l_cinterval&) noexcept;
75 
76  // l_interval Atan(const l_interval& y, const l_interval& x) noexcept;
77 
79  l_interval arg(const l_cinterval&) noexcept;
80  l_interval arg_inclmon(const l_cinterval&) noexcept;
82  l_interval Arg(const l_cinterval&) noexcept;
83 
85  l_cinterval Ln(const l_cinterval&) noexcept;
87  l_cinterval ln(const l_cinterval&) noexcept;
89  l_cinterval lnp1(const l_cinterval&) noexcept;
91  l_cinterval log2(const l_cinterval&) noexcept;
93  l_cinterval log10(const l_cinterval&) noexcept;
94 
96  l_cinterval sqrt(const l_cinterval&) noexcept;
98  l_cinterval sqrtp1m1(const l_cinterval&) noexcept;
100  l_cinterval sqrt1px2(const l_cinterval&) noexcept;
102  l_cinterval sqrtx2m1(const l_cinterval&) noexcept;
104  l_cinterval sqrt1mx2(const l_cinterval&) noexcept;
106  std::list<l_cinterval>sqrt_all(const l_cinterval&);
108  l_cinterval sqrt(const l_cinterval&, int) noexcept;
110  std::list<l_cinterval>sqrt_all(const l_cinterval&, int);
112  l_cinterval power_fast(const l_cinterval&, int) noexcept;
114  l_cinterval power(const l_cinterval&,int) noexcept;
116  l_cinterval pow(const l_cinterval&, const l_interval&) noexcept;
118  l_cinterval pow(const l_cinterval&, const l_cinterval&) noexcept;
120  std::list<l_cinterval>pow_all(const l_cinterval&,
121  const l_interval&) noexcept;
123  l_cinterval asin(const l_cinterval&) noexcept;
125  l_cinterval acos(const l_cinterval&) noexcept;
127  l_cinterval asinh(const l_cinterval&) noexcept;
129  l_cinterval acosh(const l_cinterval&) noexcept;
130 
132  l_cinterval atan(const l_cinterval&) noexcept;
134  l_cinterval acot(const l_cinterval&) noexcept;
136  l_cinterval atanh(const l_cinterval&) noexcept;
138  l_cinterval acoth(const l_cinterval&) noexcept;
139 
140 } // namespace cxsc
141 
142 #endif // _CXSC_L_CIMATH_HPP_INCLUDED
143 
144 /*
145 
146  End of File: l_cimath.hpp
147 
148 */
The namespace cxsc, providing all functionality of the class library C-XSC.
Definition: cdot.cpp:29
cinterval sqrtp1m1(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:1054
cinterval exp2(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:167
cinterval sqrt1mx2(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:1140
cinterval asinh(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:2718
cinterval coth(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:578
cinterval log2(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:898
cinterval power(const cinterval &z, int n) noexcept
Calculates .
Definition: cimath.cpp:1941
cinterval log10(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:903
cinterval Ln(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:829
cinterval ln(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:851
cinterval pow(const cinterval &z, const interval &p) noexcept
Calculates .
Definition: cimath.cpp:2074
cinterval sinh(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:231
cinterval asin(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:2311
cinterval tan(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:393
cinterval exp10(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:172
interval arg(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:741
std::list< cinterval > sqrt_all(const cinterval &z)
Calculates and returns all possible solutions.
Definition: cimath.cpp:1176
cinterval acos(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:2553
cinterval sqrtx2m1(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:1109
cinterval acosh(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:2732
cinterval cosh(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:223
cinterval cos(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:207
cinterval sqrt1px2(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:1071
cinterval exp(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:159
cinterval tanh(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:565
std::list< cinterval > pow_all(const cinterval &z, const interval &p) noexcept
Calculates and returns all possible solutions.
Definition: cimath.cpp:2107
cinterval expm1(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:177
cinterval cot(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:538
cinterval sqrt(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:1007
cinterval power_fast(const cinterval &z, int n) noexcept
Calculates .
Definition: cimath.cpp:1520
cinterval acot(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:3130
cinterval sqr(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:3342
cinterval lnp1(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:867
cinterval atan(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:2938
cinterval atanh(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:3317
interval Arg(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:654
cinterval acoth(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:3330
cinterval sin(const cinterval &z) noexcept
Calculates .
Definition: cimath.cpp:215