Source Code for Module test_suite.unit_tests._lib._linear_algebra.test_matrix_exponential

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 2  #                                                                             # 
 3  # Copyright (C) 2009-2013 Edward d'Auvergne                                   # 
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 5  # This file is part of the program relax (http://www.nmr-relax.com).          # 
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21   
22  # Python module imports. 
23  from numpy import array, complex64, float64, zeros 
24  from unittest import TestCase 
25   
26  # relax module imports. 
27  from lib.linear_algebra.matrix_exponential import matrix_exponential 
28   
29   
30 -class Test_matrix_exponential(TestCase): 
31      """Unit tests for the lib.linear_algebra.matrix_exponential relax module.""" 
32   
33   
34 -    def test_matrix_exponential(self): 
35          """Test the matrix exponential function matrix_exponential() with real matrices.""" 
36   
37          # The 3D, rank-2 matrices. 
38          R1 = array([[1, 4, 5], 
39                      [-4, 2, 6], 
40                      [-5, -6, 3]], float64) 
41          R2 = array([[0, 1, 0], 
42                      [0, 0, 0], 
43                      [0, 0, 0]], float64) 
44   
45          # The real matrix exponentials. 
46          eR1 = array([[-1.242955024379687, -3.178944439554645,  6.804083368075889], 
47                       [-6.545353831891249, -2.604941866769356,  1.228233941393001], 
48                       [ 0.975355249080821, -7.711099455690256, -3.318642157729292]], float64) 
49          eR2 = array([[ 1.,  0.,  0.], 
50                       [ 0.,  1.,  0.], 
51                       [ 0.,  0.,  1.]], float64) 
52   
53          # The maths. 
54          eR1_test = matrix_exponential(R1) 
55          eR2_test = matrix_exponential(R2) 
56   
57          # Printouts. 
58          print("Real matrix:\n%s" % eR1) 
59          print("Calculated matrix:\n%s" % eR1_test) 
60   
61          # Checks. 
62          for i in range(3): 
63              for j in range(3): 
64                  self.assertAlmostEqual(eR1_test[i, j], eR1[i, j]) 
65                  self.assertAlmostEqual(eR2_test[i, j], eR2[i, j]) 
66   
67   
68 -    def test_matrix_exponential2(self): 
69          """Test the matrix exponential function matrix_exponential() with complex matrices.""" 
70   
71          # The 3D, rank-2 matrix. 
72          R1 = array([[-0.024156250059605+0.j, 0.021093750372529+0.j], 
73                      [ 0.021093750372529+0.j, -0.024156250059605-0.587233662605286j]], complex64) 
74   
75          # The real matrix exponentials. 
76          eR1 = array([[ 0.976344227790833 -4.17836126871407e-05j,  0.0194285903126001 -0.00587434694170952j], 
77                       [ 0.0194285865873098 -0.00587435066699982j,  0.812806785106659  -0.540918707847595j]], complex64) 
78   
79          # The maths. 
80          eR1_test = matrix_exponential(R1) 
81   
82          # Printouts. 
83          print("Real matrix:\n[%20.15g %20.15gj, %20.15g %20.15gj],\n[%20.15g %20.15gj, %20.15g %20.15gj]\n" % (eR1[0, 0].real, eR1[0, 0].imag, eR1[0, 1].real, eR1[0, 1].imag, eR1[1, 0].real, eR1[1, 0].imag, eR1[1, 1].real, eR1[1, 1].imag)) 
84          print("Calculated matrix:\n[%20.15g %20.15gj, %20.15g %20.15gj],\n[%20.15g %20.15gj, %20.15g %20.15gj]\n" % (eR1_test[0, 0].real, eR1_test[0, 0].imag, eR1_test[0, 1].real, eR1_test[0, 1].imag, eR1_test[1, 0].real, eR1_test[1, 0].imag, eR1_test[1, 1].real, eR1_test[1, 1].imag)) 
85   
86          # Checks. 
87          for i in range(2): 
88              for j in range(2): 
89                  self.assertAlmostEqual(eR1_test[i, j].real, eR1[i, j].real, 5) 
90                  self.assertAlmostEqual(eR1_test[i, j].imag, eR1[i, j].imag, 5) 
91