1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
|
/*
* Complex.h -- ePiX::Complex number class
*
* This file is part of ePiX, a C++ library for creating high-quality
* figures in LaTeX
*
* Version 1.2.18
* Last Change: September 17, 2017
*
*
* Copyright (C) 2007, 2008, 2017
* Andrew D. Hwang <ahwang -at- holycross -dot- edu>
* Department of Mathematics and Computer Science
* College of the Holy Cross
* Worcester, MA, 01610-2395, USA
*
*
* ePiX is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* ePiX is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
* or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
* License for more details.
*
* You should have received a copy of the GNU General Public License
* along with ePiX; if not, write to the Free Software Foundation, Inc.,
* 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
#ifndef EPIX_COMPLEX
#define EPIX_COMPLEX
namespace ePiX {
class Complex {
public:
Complex(double real=0, double imag=0);
Complex& operator += (const Complex& arg);
Complex& operator -= (const Complex& arg);
Complex& operator *= (const Complex& arg);
Complex& operator /= (const Complex& arg);
Complex& conj();
const bool operator == (const Complex& arg) const;
const bool operator != (const Complex& arg) const;
double re() const;
double im() const;
double Arg(int branch = 0) const; // Arg(0, 0) = 0;
double norm() const;
private:
double m_real;
double m_imag;
}; // end of class Complex
const Complex operator+ (Complex arg1, const Complex& arg2);
const Complex operator- (Complex arg1, const Complex& arg2);
const Complex operator- (Complex arg);
const Complex operator* (Complex arg1, const Complex& arg2);
const Complex operator/ (Complex arg1, const Complex& arg2);
double Arg(const Complex& arg, int branch = 0);
double norm(const Complex& arg);
Complex expC(const Complex&);
Complex logC(const Complex&, int branch=0);
Complex sqrtC(const Complex&, int branch=0);
Complex rootC(const Complex&, int order, int branch=0);
Complex powC(const Complex&, int);
Complex SinC(const Complex&);
Complex CosC(const Complex&);
Complex TanC(const Complex&);
Complex CotC(const Complex&);
Complex SecC(const Complex&);
Complex CscC(const Complex&);
Complex SinhC(const Complex&);
Complex CoshC(const Complex&);
Complex TanhC(const Complex&);
Complex CothC(const Complex&);
Complex SechC(const Complex&);
Complex CschC(const Complex&);
} // end of namespace
#endif /* EPIX_COMPLEX */
|
