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
147
148
149
150
151
152
153
154
155
156
157
158
159
|
/*****************************************************************************
** FILE IDENTIFICATION
**
** Name: transformmatrix.cpp
** Function: Transform Matrix routine for graphic library
** Programmer: Kevin Rosenberg
** Date Started: 1-22-85
**
** This is part of the CTSim program
** Copyright (c) 1983-2001 Kevin Rosenberg
**
** $Id: transformmatrix.cpp 7061 2003-09-07 06:34:45Z kevin $
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License (version 2) as
** published by the Free Software Foundation.
**
** This program 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 this program; if not, write to the Free Software
** Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
******************************************************************************/
#include <iostream>
#include "ctsupport.h"
#include "transformmatrix.h"
TransformationMatrix2D::TransformationMatrix2D (double m[3][3])
{
mtx[0][0] = m[0][0]; mtx[0][1] = m[0][1]; mtx[0][2] = m[0][2];
mtx[1][0] = m[1][0]; mtx[1][1] = m[1][1]; mtx[1][2] = m[1][2];
mtx[2][0] = m[2][0]; mtx[2][1] = m[2][1]; mtx[2][2] = m[2][2];
}
void
TransformationMatrix2D::setTranslate (double x, double y)
{
setIdentity();
mtx[2][0] = x;
mtx[2][1] = y;
}
void
TransformationMatrix2D::setScale (double sx, double sy)
{
setIdentity();
mtx[0][0] = sx;
mtx[1][1] = sy;
}
void
TransformationMatrix2D::setShear (double shrx, double shry)
{
setIdentity();
mtx[1][0] = shrx;
mtx[0][1] = shry;
}
void
TransformationMatrix2D::setRotate (double theta)
{
double s = sin (theta);
double c = cos (theta);
setIdentity();
mtx[0][0] = c; mtx[0][1] = s;
mtx[1][0] = -s; mtx[1][1] = c;
}
void
TransformationMatrix2D::setIdentity ()
{
mtx[0][0] = 1.; mtx[0][1] = 0.; mtx[0][2] = 0.;
mtx[1][0] = 0.; mtx[1][1] = 1.; mtx[1][2] = 0.;
mtx[2][0] = 0.; mtx[2][1] = 0.; mtx[2][2] = 1.;
}
const TransformationMatrix2D
TransformationMatrix2D::invert () const
{
double b[3][3];
double determ = determinant ();
if (fabs(determ) < 1E-6) {
sys_error (ERR_WARNING, "Determinant = %g [TransformationMatrix2D::invert]", determ);
print (std::cout);
std::cout << std::endl;
}
b[0][0] = (mtx[1][1] * mtx[2][2] - mtx[2][1] * mtx[1][2]) / determ;
b[1][0] = -(mtx[1][0] * mtx[2][2] - mtx[2][0] * mtx[1][2]) / determ;
b[2][0] = (mtx[1][0] * mtx[2][1] - mtx[2][0] * mtx[1][1]) / determ;
b[0][1] = -(mtx[0][1] * mtx[2][2] - mtx[2][1] * mtx[0][2]) / determ;
b[1][1] = (mtx[0][0] * mtx[2][2] - mtx[2][0] * mtx[0][2]) / determ;
b[2][1] = -(mtx[0][0] * mtx[2][1] - mtx[2][0] * mtx[0][1]) / determ;
b[0][2] = (mtx[0][1] * mtx[1][2] - mtx[1][1] * mtx[0][2]) / determ;
b[1][2] = -(mtx[0][0] * mtx[1][2] - mtx[1][0] * mtx[0][2]) / determ;
b[2][2] = (mtx[0][0] * mtx[1][1] - mtx[1][0] * mtx[0][1]) / determ;
return TransformationMatrix2D (b);
}
double
TransformationMatrix2D::determinant () const
{
return
(mtx[0][0] * mtx[1][1] * mtx[2][2] - mtx[0][0] * mtx[2][1] * mtx[1][2] -
mtx[0][1] * mtx[1][0] * mtx[2][2] + mtx[0][1] * mtx[2][0] * mtx[1][2] +
mtx[0][2] * mtx[1][0] * mtx[2][1] - mtx[0][2] * mtx[2][0] * mtx[1][1]);
}
void
TransformationMatrix2D::transformPoint (double* pX, double *pY) const
{
double x = *pX * mtx[0][0] + *pY * mtx[1][0] + mtx[2][0];
double y = *pX * mtx[0][1] + *pY * mtx[1][1] + mtx[2][1];
*pX = x;
*pY = y;
}
void
TransformationMatrix2D::print (std::ostream& ostr) const
{
std::cout << mtx[0][0] << " " << mtx[0][1] << " " << mtx[0][2] << std::endl;
std::cout << mtx[1][0] << " " << mtx[1][1] << " " << mtx[1][2] << std::endl;
std::cout << mtx[2][0] << " " << mtx[2][1] << " " << mtx[2][2] << std::endl;
}
// Friend of TransformMatrix2D
const TransformationMatrix2D operator* (const TransformationMatrix2D& a, const TransformationMatrix2D& b)
{
double c[3][3];
for (int row = 0; row < 3; row++)
for (int col = 0; col < 3; col++) {
c[row][col] = 0.;
for (int calc = 0; calc < 3; calc++)
c[row][col] += a.mtx[row][calc] * b.mtx[calc][col];
}
return TransformationMatrix2D (c);
}
|
