-
Notifications
You must be signed in to change notification settings - Fork 8
/
Copy pathc8_complex_lib.cpp
146 lines (123 loc) · 3.9 KB
/
c8_complex_lib.cpp
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
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
# include <cstdlib>
# include <iostream>
# include <cmath>
using namespace std;
# include "c8_complex_lib.hpp"
/********************************************************
* c = c / c -- c8_complex division *
* *
* Parameters *
* oper1, oper2 -- two operands of the divide *
* *
* Returns *
* result of the divide *
********************************************************/
c8_complex operator / ( const c8_complex &oper1, const c8_complex &oper2 )
{
// Denominator of the result
double den = fabs(oper2.real()) + fabs(oper2.imaginary());
// Real part of the oper1 factor
double oper1_real_den = oper1.real() / den;
// Imaginary part of the oper1 factor
double oper1_imag_den = oper1.imaginary() / den;
// Real part of the oper2 factor
double oper2_real_den = oper2.real() / den;
// Imaginary part of the oper2 factor
double oper2_imag_den = oper2.imaginary() / den;
// Normalization factor
double normalization = oper2_real_den * oper2_real_den +
oper2_imag_den * oper2_imag_den;
return c8_complex((oper1_real_den * oper2_real_den +
oper1_imag_den * oper2_imag_den) / normalization,
(oper1_imag_den * oper2_real_den -
oper1_real_den * oper2_imag_den) / normalization);
}
/********************************************************
* c /= c -- c8_complex divide by *
* *
* Parameters *
* oper2 -- operator to divide by *
* *
* Returns *
* Reference to the result of the divide *
********************************************************/
c8_complex& c8_complex::operator /= (const c8_complex& oper2)
{
// Denominator of the result
double den = fabs(oper2.real()) + fabs(oper2.imaginary());
// Denominator -- operator 1 real part
double oper1_real_den = real_part / den;
// Denominator -- operator 1 imaginary part
double oper1_imag_den = imaginary_part / den;
// Denominator -- operator 2 real part
double oper2_real_den = oper2.real() / den;
// Denominator -- operator 2 imaginary part
double oper2_imag_den = oper2.imaginary() / den;
// Normalization factor
double normalization = oper2_real_den * oper2_real_den +
oper2_imag_den * oper2_imag_den;
real_part = (oper1_real_den * oper2_real_den +
oper1_imag_den * oper2_imag_den) / normalization;
imaginary_part = (oper1_imag_den * oper2_real_den -
oper1_real_den * oper2_imag_den) / normalization;
return (*this);
}
/********************************************************
* istream >> c8_complex -- read a c8_complex *
* *
* Parameters *
* in_file -- file to read *
* number -- place to put the number *
* *
* Returns *
* reference to the input file *
********************************************************/
istream &operator >> ( istream &in_file, c8_complex &number )
{
double real, imaginary; // Real and imaginary part.
char ch; // Random character used to verify input
number.set ( 0.0, 0.0 ); // Initialize the number (just in case)
//
// ERROR: NO MATCHING FUNCTION FOR CALL TO IPFX...
//
// in_file.ipfx(1); // Tell the i/o system we are reading formatted
in_file >> ws; // Skip whitespace
if (in_file.bad())
{
return (in_file);
}
in_file >> ch; // Get character after whitespace
if (ch != '(')
{
// in_file.setf ( ios::failbit ); // We have an error
return (in_file);
}
in_file >> real;
if (in_file.bad())
{
return (in_file);
}
in_file >> ws >> ch; // Get first character after number
if (in_file.bad())
{
return (in_file);
}
if (ch != ',')
{
// in_file.setf(ios::failbit);
return (in_file);
}
in_file >> imaginary;
in_file >> ws >> ch;
if (in_file.bad())
{
return (in_file);
}
if (ch != ')')
{
// in_file.setf(ios::failbit);
return (in_file);
}
number.set(real, imaginary);
return (in_file);
}