1 | #!/usr/bin/env python |
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2 | |
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3 | |
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4 | import unittest |
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5 | from math import sqrt, pi |
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6 | |
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7 | |
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8 | from anuga.config import epsilon |
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9 | from general_mesh import General_mesh |
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10 | from anuga.coordinate_transforms.geo_reference import Geo_reference |
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11 | |
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12 | import numpy as num |
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13 | |
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14 | |
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15 | class Test_General_Mesh(unittest.TestCase): |
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16 | def setUp(self): |
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17 | pass |
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18 | |
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19 | def tearDown(self): |
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20 | pass |
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21 | |
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22 | |
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23 | def test_get_vertex_coordinates(self): |
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24 | from mesh_factory import rectangular |
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25 | |
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26 | #Create basic mesh |
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27 | nodes, triangles, _ = rectangular(1, 3) |
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28 | domain = General_mesh(nodes, triangles) |
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29 | |
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30 | |
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31 | assert num.allclose(domain.get_nodes(), nodes) |
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32 | |
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33 | |
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34 | M = domain.number_of_triangles |
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35 | |
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36 | V = domain.get_vertex_coordinates() |
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37 | assert V.shape[0] == 3*M |
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38 | |
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39 | for i in range(M): |
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40 | for j in range(3): |
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41 | k = triangles[i,j] #Index of vertex j in triangle i |
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42 | assert num.allclose(V[3*i+j,:], nodes[k]) |
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43 | |
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44 | def test_get_vertex_coordinates_with_geo_ref(self): |
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45 | x0 = 314036.58727982 |
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46 | y0 = 6224951.2960092 |
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47 | geo = Geo_reference(56, x0, y0) |
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48 | |
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49 | a = [0.0, 0.0] |
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50 | b = [0.0, 2.0] |
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51 | c = [2.0, 0.0] |
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52 | d = [0.0, 4.0] |
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53 | e = [2.0, 2.0] |
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54 | f = [4.0, 0.0] |
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55 | nodes = num.array([a, b, c, d, e, f]) |
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56 | |
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57 | nodes_absolute = geo.get_absolute(nodes) |
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58 | |
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59 | # bac, bce, ecf, dbe |
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60 | triangles = num.array([[1,0,2], [1,2,4], [4,2,5], [3,1,4]], num.int) |
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61 | |
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62 | domain = General_mesh(nodes, triangles, geo_reference=geo) |
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63 | |
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64 | verts = domain.get_vertex_coordinates(triangle_id=0) # bac |
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65 | msg = ("num.array([b,a,c])=\n%s\nshould be close to 'verts'=\n%s" |
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66 | % (str(num.array([b,a,c])), str(verts))) |
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67 | self.failUnless(num.allclose(num.array([b,a,c]), verts), msg) |
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68 | |
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69 | verts = domain.get_vertex_coordinates(triangle_id=0) |
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70 | msg = ("num.array([b,a,c])=\n%s\nshould be close to 'verts'=\n%s" |
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71 | % (str(num.array([b,a,c])), str(verts))) |
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72 | self.assert_(num.allclose(num.array([b,a,c]), verts), msg) |
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73 | |
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74 | verts = domain.get_vertex_coordinates(triangle_id=0, absolute=True) |
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75 | msg = ("num.array([...])=\n%s\nshould be close to 'verts'=\n%s" |
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76 | % (str(num.array([nodes_absolute[1], |
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77 | nodes_absolute[0], |
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78 | nodes_absolute[2]])), |
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79 | str(verts))) |
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80 | self.assert_(num.allclose(num.array([nodes_absolute[1], |
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81 | nodes_absolute[0], |
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82 | nodes_absolute[2]]), |
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83 | verts), msg) |
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84 | |
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85 | verts = domain.get_vertex_coordinates(triangle_id=0, |
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86 | absolute=True) |
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87 | msg = ("num.array([...])=\n%s\nshould be close to 'verts'=\n%s" |
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88 | % (str(num.array([nodes_absolute[1], |
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89 | nodes_absolute[0], |
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90 | nodes_absolute[2]])), |
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91 | str(verts))) |
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92 | self.assert_(num.allclose(num.array([nodes_absolute[1], |
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93 | nodes_absolute[0], |
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94 | nodes_absolute[2]]), |
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95 | verts), msg) |
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96 | |
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97 | def test_get_vertex_coordinates_triangle_id(self): |
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98 | """test_get_vertex_coordinates_triangle_id |
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99 | Test that vertices for one triangle can be returned. |
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100 | """ |
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101 | from mesh_factory import rectangular |
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102 | |
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103 | #Create basic mesh |
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104 | nodes, triangles, _ = rectangular(1, 3) |
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105 | domain = General_mesh(nodes, triangles) |
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106 | |
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107 | |
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108 | assert num.allclose(domain.get_nodes(), nodes) |
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109 | |
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110 | |
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111 | M = domain.number_of_triangles |
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112 | |
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113 | for i in range(M): |
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114 | V = domain.get_vertex_coordinates(triangle_id=i) |
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115 | assert V.shape[0] == 3 |
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116 | |
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117 | for j in range(3): |
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118 | k = triangles[i,j] #Index of vertex j in triangle i |
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119 | assert num.allclose(V[j,:], nodes[k]) |
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120 | |
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121 | |
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122 | def test_get_edge_midpoint_coordinates(self): |
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123 | from mesh_factory import rectangular |
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124 | |
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125 | #Create basic mesh |
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126 | nodes, triangles, _ = rectangular(1, 3) |
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127 | domain = General_mesh(nodes, triangles) |
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128 | |
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129 | |
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130 | assert num.allclose(domain.get_nodes(), nodes) |
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131 | |
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132 | |
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133 | M = domain.number_of_triangles |
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134 | |
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135 | E = domain.get_edge_midpoint_coordinates() |
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136 | assert E.shape[0] == 3*M |
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137 | |
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138 | for i in range(M): |
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139 | k0 = triangles[i,0] #Index of vertex 0 in triangle i |
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140 | k1 = triangles[i,1] #Index of vertex 1 in triangle i |
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141 | k2 = triangles[i,2] #Index of vertex 2 in triangle i |
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142 | |
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143 | assert num.allclose(E[3*i+0,:], 0.5*(nodes[k1]+nodes[k2]) ) |
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144 | assert num.allclose(E[3*i+1,:], 0.5*(nodes[k0]+nodes[k2]) ) |
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145 | assert num.allclose(E[3*i+2,:], 0.5*(nodes[k1]+nodes[k0]) ) |
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146 | |
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147 | def test_get_edge_midpoint_coordinates_with_geo_ref(self): |
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148 | x0 = 314036.58727982 |
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149 | y0 = 6224951.2960092 |
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150 | geo = Geo_reference(56, x0, y0) |
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151 | |
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152 | a = num.array([0.0, 0.0]) |
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153 | b = num.array([0.0, 2.0]) |
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154 | c = num.array([2.0, 0.0]) |
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155 | d = num.array([0.0, 4.0]) |
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156 | e = num.array([2.0, 2.0]) |
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157 | f = num.array([4.0, 0.0]) |
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158 | nodes = num.array([a, b, c, d, e, f]) |
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159 | |
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160 | nodes_absolute = geo.get_absolute(nodes) |
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161 | |
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162 | # bac, bce, ecf, dbe |
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163 | triangles = num.array([[1,0,2], [1,2,4], [4,2,5], [3,1,4]], num.int) |
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164 | |
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165 | domain = General_mesh(nodes, triangles, geo_reference=geo) |
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166 | |
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167 | verts = domain.get_edge_midpoint_coordinates(triangle_id=0) # bac |
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168 | msg = ("num.array(1/2[a+c,b+c,a+b])=\n%s\nshould be close to 'verts'=\n%s" |
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169 | % (str(num.array([0.5*(a+c),0.5*(b+c),0.5*(a+b)])), str(verts))) |
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170 | self.failUnless(num.allclose(num.array([0.5*(a+c),0.5*(b+c),0.5*(a+b)]), verts), msg) |
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171 | |
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172 | |
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173 | verts = domain.get_edge_midpoint_coordinates(triangle_id=0, absolute=True) |
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174 | msg = ("num.array([...])=\n%s\nshould be close to 'verts'=\n%s" |
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175 | % (str(0.5*num.array([nodes_absolute[0]+nodes_absolute[2], |
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176 | nodes_absolute[1]+nodes_absolute[2], |
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177 | nodes_absolute[1]+nodes_absolute[0]])), |
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178 | str(verts))) |
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179 | self.assert_(num.allclose(0.5*num.array([nodes_absolute[0]+nodes_absolute[2], |
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180 | nodes_absolute[1]+nodes_absolute[2], |
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181 | nodes_absolute[1]+nodes_absolute[0]]), |
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182 | verts), msg) |
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183 | |
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184 | def test_get_edge_midpoint_coordinates_triangle_id(self): |
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185 | """test_get_vertex_coordinates_triangle_id |
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186 | Test that vertices for one triangle can be returned. |
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187 | """ |
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188 | from mesh_factory import rectangular |
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189 | |
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190 | #Create basic mesh |
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191 | nodes, triangles, _ = rectangular(1, 3) |
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192 | domain = General_mesh(nodes, triangles) |
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193 | |
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194 | |
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195 | assert num.allclose(domain.get_nodes(), nodes) |
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196 | |
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197 | |
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198 | M = domain.number_of_triangles |
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199 | |
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200 | for i in range(M): |
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201 | E = domain.get_edge_midpoint_coordinates(triangle_id=i) |
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202 | assert E.shape[0] == 3 |
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203 | |
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204 | |
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205 | k0 = triangles[i,0] #Index of vertex 0 in triangle i |
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206 | k1 = triangles[i,1] #Index of vertex 0 in triangle i |
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207 | k2 = triangles[i,2] #Index of vertex 0 in triangle i |
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208 | |
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209 | assert num.allclose(E[0,:], 0.5*(nodes[k1]+nodes[k2])) |
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210 | assert num.allclose(E[1,:], 0.5*(nodes[k0]+nodes[k2])) |
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211 | assert num.allclose(E[2,:], 0.5*(nodes[k1]+nodes[k0])) |
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212 | |
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213 | E0 = domain.get_edge_midpoint_coordinate(i, 0 ) |
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214 | E1 = domain.get_edge_midpoint_coordinate(i, 1 ) |
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215 | E2 = domain.get_edge_midpoint_coordinate(i, 2 ) |
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216 | |
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217 | assert num.allclose(E0, 0.5*(nodes[k1]+nodes[k2])) |
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218 | assert num.allclose(E1, 0.5*(nodes[k0]+nodes[k2])) |
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219 | assert num.allclose(E2, 0.5*(nodes[k1]+nodes[k0])) |
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220 | |
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221 | |
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222 | |
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223 | |
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224 | |
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225 | |
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226 | def test_get_vertex_values(self): |
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227 | """Get connectivity based on triangle lists. |
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228 | """ |
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229 | from mesh_factory import rectangular |
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230 | |
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231 | #Create basic mesh |
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232 | nodes, triangles, _ = rectangular(1, 3) |
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233 | domain = General_mesh(nodes, triangles) |
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234 | |
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235 | msg = ("domain.get_triangles()=\n%s\nshould be the same as " |
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236 | "'triangles'=\n%s" |
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237 | % (str(domain.get_triangles()), str(triangles))) |
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238 | assert num.allclose(domain.get_triangles(), triangles), msg |
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239 | msg = ("domain.get_triangles([0,4])=\n%s\nshould be the same as " |
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240 | "'[triangles[0], triangles[4]]' which is\n%s" |
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241 | % (str(domain.get_triangles([0,4])), |
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242 | str([triangles[0], triangles[4]]))) |
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243 | assert num.allclose(domain.get_triangles([0,4]), |
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244 | [triangles[0], triangles[4]]), msg |
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245 | |
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246 | |
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247 | def test_vertex_value_indices(self): |
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248 | """Check that structures are correct. |
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249 | """ |
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250 | from mesh_factory import rectangular |
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251 | |
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252 | a = [0.0, 0.0] |
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253 | b = [0.0, 2.0] |
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254 | c = [2.0, 0.0] |
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255 | d = [0.0, 4.0] |
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256 | e = [2.0, 2.0] |
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257 | f = [4.0, 0.0] |
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258 | |
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259 | nodes = num.array([a, b, c, d, e, f]) |
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260 | #bac, bce, ecf, dbe, daf, dae |
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261 | triangles = num.array([[1,0,2], [1,2,4], [4,2,5], [3,1,4]]) |
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262 | |
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263 | domain1 = General_mesh(nodes, triangles) |
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264 | |
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265 | #Create larger mesh |
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266 | nodes, triangles, _ = rectangular(3, 6) |
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267 | domain2 = General_mesh(nodes, triangles) |
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268 | |
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269 | # Test both meshes |
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270 | for domain in [domain1, domain2]: |
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271 | assert sum(domain.number_of_triangles_per_node) ==\ |
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272 | len(domain.vertex_value_indices) |
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273 | |
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274 | # Check number of triangles per node |
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275 | count = [0]*domain.number_of_nodes |
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276 | for triangle in domain.triangles: |
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277 | for i in triangle: |
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278 | count[i] += 1 |
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279 | |
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280 | #print count |
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281 | # |
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282 | assert num.allclose(count, domain.number_of_triangles_per_node) |
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283 | |
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284 | # Check indices |
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285 | current_node = 0 |
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286 | k = 0 # Track triangles touching on node |
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287 | for index in domain.vertex_value_indices: |
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288 | k += 1 |
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289 | |
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290 | triangle = index / 3 |
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291 | vertex = index % 3 |
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292 | |
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293 | assert domain.triangles[triangle, vertex] == current_node |
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294 | |
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295 | if domain.number_of_triangles_per_node[current_node] == k: |
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296 | # Move on to next node |
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297 | k = 0 |
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298 | current_node += 1 |
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299 | |
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300 | |
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301 | def test_get_triangles_and_vertices_per_node(self): |
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302 | """test_get_triangles_and_vertices_per_node - |
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303 | |
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304 | Test that tuples of triangle, vertex can be extracted |
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305 | from inverted triangles structure |
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306 | |
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307 | """ |
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308 | |
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309 | a = [0.0, 0.0] |
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310 | b = [0.0, 2.0] |
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311 | c = [2.0, 0.0] |
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312 | d = [0.0, 4.0] |
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313 | e = [2.0, 2.0] |
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314 | f = [4.0, 0.0] |
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315 | |
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316 | nodes = num.array([a, b, c, d, e, f]) |
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317 | #bac, bce, ecf, dbe, daf, dae |
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318 | triangles = num.array([[1,0,2], [1,2,4], [4,2,5], [3,1,4]]) |
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319 | |
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320 | domain = General_mesh(nodes, triangles) |
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321 | |
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322 | # One node |
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323 | L = domain.get_triangles_and_vertices_per_node(node=2) |
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324 | assert num.allclose(L[0], [0, 2]) |
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325 | assert num.allclose(L[1], [1, 1]) |
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326 | assert num.allclose(L[2], [2, 1]) |
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327 | |
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328 | # All nodes |
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329 | ALL = domain.get_triangles_and_vertices_per_node() |
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330 | assert len(ALL) == 6 |
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331 | for i, Lref in enumerate(ALL): |
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332 | L = domain.get_triangles_and_vertices_per_node(node=i) |
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333 | assert num.allclose(L, Lref) |
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334 | |
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335 | |
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336 | |
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337 | |
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338 | |
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339 | |
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340 | |
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341 | def test_areas(self): |
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342 | from mesh_factory import rectangular |
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343 | from shallow_water import Domain |
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344 | |
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345 | #Create basic mesh |
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346 | points, vertices, boundary = rectangular(1, 3) |
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347 | domain = General_mesh(points, vertices) |
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348 | |
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349 | assert domain.get_area() == 1.0 |
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350 | |
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351 | |
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352 | def test_get_unique_vertex_values(self): |
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353 | """ |
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354 | get unique_vertex based on triangle lists. |
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355 | """ |
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356 | from mesh_factory import rectangular |
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357 | from shallow_water import Domain |
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358 | |
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359 | #Create basic mesh |
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360 | points, vertices, boundary = rectangular(1, 3) |
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361 | domain = General_mesh(points, vertices) |
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362 | |
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363 | assert domain.get_unique_vertices() == [0,1,2,3,4,5,6,7] |
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364 | unique_vertices = domain.get_unique_vertices([0,1,4]) |
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365 | unique_vertices.sort() |
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366 | assert unique_vertices == [0,1,2,4,5,6,7] |
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367 | |
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368 | unique_vertices = domain.get_unique_vertices([0,4]) |
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369 | unique_vertices.sort() |
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370 | assert unique_vertices == [0,2,4,5,6,7] |
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371 | |
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372 | def test_get_node(self): |
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373 | """test_get_triangles_and_vertices_per_node - |
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374 | |
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375 | Test that tuples of triangle, vertex can be extracted |
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376 | from inverted triangles structure |
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377 | |
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378 | """ |
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379 | |
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380 | x0 = 314036.58727982 |
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381 | y0 = 6224951.2960092 |
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382 | geo = Geo_reference(56, x0, y0) |
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383 | |
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384 | a = [0.0, 0.0] |
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385 | b = [0.0, 2.0] |
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386 | c = [2.0, 0.0] |
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387 | d = [0.0, 4.0] |
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388 | e = [2.0, 2.0] |
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389 | f = [4.0, 0.0] |
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390 | |
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391 | nodes = num.array([a, b, c, d, e, f]) |
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392 | |
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393 | nodes_absolute = geo.get_absolute(nodes) |
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394 | |
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395 | # bac, bce, ecf, dbe |
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396 | triangles = num.array([[1,0,2], [1,2,4], [4,2,5], [3,1,4]]) |
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397 | |
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398 | domain = General_mesh(nodes, triangles, geo_reference = geo) |
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399 | node = domain.get_node(2) |
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400 | msg = ('\nc=%s\nnode=%s' % (str(c), str(node))) |
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401 | self.failUnless(num.alltrue(c == node), msg) |
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402 | |
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403 | # repeat get_node(), see if result same |
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404 | node = domain.get_node(2) |
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405 | msg = ('\nc=%s\nnode=%s' % (str(c), str(node))) |
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406 | self.failUnless(num.alltrue(c == node), msg) |
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407 | |
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408 | node = domain.get_node(2, absolute=True) |
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409 | msg = ('\nnodes_absolute[2]=%s\nnode=%s' |
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410 | % (str(nodes_absolute[2]), str(node))) |
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411 | self.failUnless(num.alltrue(nodes_absolute[2] == node), msg) |
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412 | |
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413 | # repeat get_node(2, absolute=True), see if result same |
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414 | node = domain.get_node(2, absolute=True) |
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415 | msg = ('\nnodes_absolute[2]=%s\nnode=%s' |
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416 | % (str(nodes_absolute[2]), str(node))) |
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417 | self.failUnless(num.alltrue(nodes_absolute[2] == node), msg) |
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418 | |
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419 | |
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420 | def test_assert_index_in_nodes(self): |
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421 | """test_assert_index_in_nodes - |
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422 | |
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423 | Test that node indices in triangles are within nodes array. |
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424 | |
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425 | """ |
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426 | |
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427 | x0 = 314036.58727982 |
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428 | y0 = 6224951.2960092 |
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429 | geo = Geo_reference(56, x0, y0) |
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430 | |
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431 | a = [0.0, 0.0] |
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432 | b = [0.0, 2.0] |
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433 | c = [2.0, 0.0] |
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434 | d = [0.0, 4.0] |
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435 | e = [2.0, 2.0] |
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436 | f = [4.0, 0.0] |
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437 | |
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438 | nodes = num.array([a, b, c, d, e, f]) |
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439 | |
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440 | nodes_absolute = geo.get_absolute(nodes) |
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441 | |
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442 | # max index is 5, use 5, expect success |
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443 | triangles = num.array([[1,5,2], [1,2,4], [4,2,5], [3,1,4]]) |
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444 | General_mesh(nodes, triangles, geo_reference=geo) |
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445 | |
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446 | # max index is 5, use 6, expect assert failure |
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447 | triangles = num.array([[1,6,2], [1,2,4], [4,2,5], [3,1,4]]) |
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448 | self.failUnlessRaises(AssertionError, General_mesh, |
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449 | nodes, triangles, geo_reference=geo) |
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450 | |
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451 | # max index is 5, use 10, expect assert failure |
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452 | triangles = num.array([[1,10,2], [1,2,4], [4,2,5], [3,1,4]]) |
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453 | self.failUnlessRaises(AssertionError, General_mesh, |
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454 | nodes, triangles, geo_reference=geo) |
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455 | |
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456 | ################################################################################ |
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457 | |
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458 | if __name__ == "__main__": |
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459 | #suite = unittest.makeSuite(Test_General_Mesh, 'test') |
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460 | suite = unittest.makeSuite(Test_General_Mesh, 'test_get_edge_midpoint_coordinates') |
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461 | runner = unittest.TextTestRunner() |
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462 | runner.run(suite) |
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463 | |
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