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
45namespace 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