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
|
/*=========================================================================
*
* Copyright Insight Software Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0.txt
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*=========================================================================*/
#include <fstream>
#include "itkSymmetricEigenSystem.h"
#include "itkStdStreamStateSave.h"
int itkSymmetricEigenSystemTest(int , char* [] )
{
// Save the format stream variables for std::cout
// They will be restored when coutState goes out of scope
// scope.
itk::StdStreamStateSave coutState(std::cout);
typedef itk::SymmetricEigenSystem< double, 2 > EigenSystemType;
EigenSystemType::Pointer eigen = EigenSystemType::New();
EigenSystemType::MatrixType mat;
mat.GetVnlMatrix().put(0, 0, 814.95741);
mat.GetVnlMatrix().put(0, 1, 38.40308);
mat.GetVnlMatrix().put(1, 0, 38.40308);
mat.GetVnlMatrix().put(1, 1, 817.64446);
EigenSystemType::EigenValueArrayType eigenValues;
eigenValues[0] = 854.7275;
eigenValues[1] = 777.8744;
EigenSystemType::EigenVectorArrayType eigenVectors;
eigenVectors[0][0] = 0.6946354;
eigenVectors[0][1] = 0.7193620;
eigenVectors[1][0] = 0.7193620;
eigenVectors[1][1] = -0.6946354;
double precision = 0.0000001;
eigen->SetMatrix(&mat);
eigen->Update();
std::cout << "Matrix: " << mat << std::endl;
double temp;
std::cout.setf(std::ios::scientific, std::ios::floatfield);
for ( unsigned int i = 0; i < 2; i++ )
{
temp = (*(eigen->GetEigenValues()))[i];
std::cout << "eigen value = " << temp << std::endl;
if ( itk::Math::abs(1 - itk::Math::abs(temp / eigenValues[i])) > precision )
{
std::cout << "wrong eigen value "
<< itk::Math::abs(1 - (temp / eigenValues[i]))
<< std::endl;
return EXIT_FAILURE;
}
}
for ( unsigned int i = 0; i < 2; i++ )
{
std::cout << "eigen vector = ";
double dotProduct = 0.0;
for ( unsigned int j = 0; j < 2; j++ )
{
temp = (*(eigen->GetEigenVectors()))[i][j];
std::cout << temp << " ";
dotProduct += temp * eigenVectors[i][j];
}
if ( itk::Math::abs(itk::Math::abs(dotProduct) - 1 ) > precision )
{
std::cout << "wrong eigen vector " << dotProduct << std::endl;
return EXIT_FAILURE;
}
std::cout << std::endl;
}
std::cout << "Test succeeded." << std::endl;
return EXIT_SUCCESS;
}
|
