| 1 | #!/usr/bin/env python |
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| 2 | |
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| 3 | import unittest |
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| 4 | from math import sqrt |
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| 5 | |
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| 6 | |
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| 7 | from least_squares import * |
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| 8 | from Numeric import allclose, array, transpose |
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| 9 | |
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| 10 | def distance(x, y): |
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| 11 | return sqrt( sum( (array(x)-array(y))**2 )) |
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| 12 | |
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| 13 | def linear_function(point): |
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| 14 | point = array(point) |
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| 15 | return point[:,0]+point[:,1] |
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| 16 | |
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| 17 | |
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| 18 | class TestCase(unittest.TestCase): |
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| 19 | |
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| 20 | def setUp(self): |
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| 21 | pass |
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| 22 | |
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| 23 | def tearDown(self): |
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| 24 | pass |
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| 25 | |
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| 26 | |
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| 27 | def test_datapoint_at_centroid(self): |
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| 28 | a = [0.0, 0.0] |
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| 29 | b = [0.0, 2.0] |
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| 30 | c = [2.0,0.0] |
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| 31 | points = [a, b, c] |
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| 32 | vertices = [ [1,0,2] ] #bac |
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| 33 | |
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| 34 | data = [ [2.0/3, 2.0/3] ] #Use centroid as one data point |
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| 35 | |
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| 36 | interp = Interpolation(points, vertices, data) |
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| 37 | assert allclose(interp.get_A(), [[1./3, 1./3, 1./3]]) |
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| 38 | |
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| 39 | |
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| 40 | |
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| 41 | def test_datapoints_at_vertices(self): |
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| 42 | """Test that data points coinciding with vertices yield a diagonal matrix |
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| 43 | """ |
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| 44 | |
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| 45 | a = [0.0, 0.0] |
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| 46 | b = [0.0, 2.0] |
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| 47 | c = [2.0,0.0] |
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| 48 | points = [a, b, c] |
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| 49 | vertices = [ [1,0,2] ] #bac |
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| 50 | |
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| 51 | data = points #Use data at vertices |
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| 52 | |
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| 53 | interp = Interpolation(points, vertices, data) |
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| 54 | assert allclose(interp.get_A(), [[1., 0., 0.], |
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| 55 | [0., 1., 0.], |
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| 56 | [0., 0., 1.]]) |
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| 57 | |
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| 58 | |
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| 59 | |
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| 60 | def test_datapoints_on_edge_midpoints(self): |
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| 61 | """Try datapoints midway on edges - |
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| 62 | each point should affect two matrix entries equally |
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| 63 | """ |
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| 64 | |
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| 65 | a = [0.0, 0.0] |
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| 66 | b = [0.0, 2.0] |
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| 67 | c = [2.0,0.0] |
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| 68 | points = [a, b, c] |
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| 69 | vertices = [ [1,0,2] ] #bac |
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| 70 | |
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| 71 | data = [ [0., 1.], [1., 0.], [1., 1.] ] |
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| 72 | |
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| 73 | interp = Interpolation(points, vertices, data) |
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| 74 | |
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| 75 | assert allclose(interp.get_A(), [[0.5, 0.5, 0.0], #Affects vertex 1 and 0 |
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| 76 | [0.5, 0.0, 0.5], #Affects vertex 0 and 2 |
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| 77 | [0.0, 0.5, 0.5]]) #Affects vertex 1 and 2 |
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| 78 | |
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| 79 | |
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| 80 | def test_datapoints_on_edges(self): |
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| 81 | """Try datapoints on edges - |
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| 82 | each point should affect two matrix entries in proportion |
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| 83 | """ |
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| 84 | |
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| 85 | a = [0.0, 0.0] |
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| 86 | b = [0.0, 2.0] |
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| 87 | c = [2.0,0.0] |
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| 88 | points = [a, b, c] |
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| 89 | vertices = [ [1,0,2] ] #bac |
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| 90 | |
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| 91 | data = [ [0., 1.5], [1.5, 0.], [1.5, 0.5] ] |
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| 92 | |
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| 93 | interp = Interpolation(points, vertices, data) |
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| 94 | |
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| 95 | assert allclose(interp.get_A(), [[0.25, 0.75, 0.0], #Affects vertex 1 and 0 |
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| 96 | [0.25, 0.0, 0.75], #Affects vertex 0 and 2 |
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| 97 | [0.0, 0.25, 0.75]]) #Affects vertex 1 and 2 |
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| 98 | |
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| 99 | def test_arbitrary_datapoints(self): |
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| 100 | """Try arbitrary datapoints |
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| 101 | """ |
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| 102 | |
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| 103 | from Numeric import sum |
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| 104 | |
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| 105 | a = [0.0, 0.0] |
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| 106 | b = [0.0, 2.0] |
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| 107 | c = [2.0,0.0] |
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| 108 | points = [a, b, c] |
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| 109 | vertices = [ [1,0,2] ] #bac |
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| 110 | |
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| 111 | data = [ [0.2, 1.5], [0.123, 1.768], [1.43, 0.44] ] |
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| 112 | |
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| 113 | interp = Interpolation(points, vertices, data) |
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| 114 | |
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| 115 | assert allclose(sum(interp.get_A(), axis=1), 1.0) |
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| 116 | |
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| 117 | |
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| 118 | # this causes a memory error in scipy.sparce |
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| 119 | def test_more_triangles(self): |
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| 120 | |
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| 121 | a = [-1.0, 0.0] |
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| 122 | b = [3.0, 4.0] |
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| 123 | c = [4.0,1.0] |
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| 124 | d = [-3.0, 2.0] #3 |
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| 125 | e = [-1.0,-2.0] |
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| 126 | f = [1.0, -2.0] #5 |
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| 127 | |
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| 128 | points = [a, b, c, d,e,f] |
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| 129 | triangles = [[0,1,3],[1,0,2],[0,4,5], [0,5,2]] #abd bac aef afc |
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| 130 | |
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| 131 | #Data points |
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| 132 | data_points = [ [-3., 2.0], [-2, 1], [0.0, 1], [0, 3], [2, 3], [-1.0/3,-4./3] ] |
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| 133 | interp = Interpolation(points, triangles, data_points) |
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| 134 | |
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| 135 | answer = [[0.0, 0.0, 0.0, 1.0, 0.0, 0.0], #Affects point d |
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| 136 | [0.5, 0.0, 0.0, 0.5, 0.0, 0.0], #Affects points a and d |
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| 137 | [0.75, 0.25, 0.0, 0.0, 0.0, 0.0], #Affects points a and b |
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| 138 | [0.0, 0.5, 0.0, 0.5, 0.0, 0.0], #Affects points a and d |
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| 139 | [0.25, 0.75, 0.0, 0.0, 0.0, 0.0], #Affects points a and b |
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| 140 | [1./3, 0.0, 0.0, 0.0, 1./3, 1./3]] #Affects points a,e and f |
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| 141 | |
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| 142 | assert allclose(interp.get_A(), answer) |
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| 143 | |
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| 144 | |
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| 145 | |
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| 146 | |
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| 147 | def test_smooth_attributes_to_mesh(self): |
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| 148 | a = [0.0, 0.0] |
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| 149 | b = [0.0, 5.0] |
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| 150 | c = [5.0, 0.0] |
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| 151 | points = [a, b, c] |
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| 152 | triangles = [ [1,0,2] ] #bac |
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| 153 | |
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| 154 | d1 = [1.0, 1.0] |
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| 155 | d2 = [1.0, 3.0] |
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| 156 | d3 = [3.0,1.0] |
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| 157 | z1 = 2 |
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| 158 | z2 = 4 |
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| 159 | z3 = 4 |
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| 160 | data_coords = [d1, d2, d3] |
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| 161 | |
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| 162 | interp = Interpolation(points, triangles, data_coords, alpha=5.0e-20) |
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| 163 | z = [z1, z2, z3] |
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| 164 | f = interp.fit(z) |
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| 165 | answer = [0, 5., 5.] |
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| 166 | |
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| 167 | #print "f\n",f |
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| 168 | #print "answer\n",answer |
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| 169 | |
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| 170 | assert allclose(f, answer,atol=1e-7) |
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| 171 | |
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| 172 | |
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| 173 | def test_smooth_att_to_meshII(self): |
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| 174 | |
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| 175 | a = [0.0, 0.0] |
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| 176 | b = [0.0, 5.0] |
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| 177 | c = [5.0, 0.0] |
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| 178 | points = [a, b, c] |
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| 179 | triangles = [ [1,0,2] ] #bac |
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| 180 | |
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| 181 | d1 = [1.0, 1.0] |
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| 182 | d2 = [1.0, 2.0] |
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| 183 | d3 = [3.0,1.0] |
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| 184 | data_coords = [d1, d2, d3] |
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| 185 | z = linear_function(data_coords) |
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| 186 | interp = Interpolation(points, triangles, data_coords, alpha=0.0) |
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| 187 | f = interp.fit(z) |
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| 188 | answer = linear_function(points) |
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| 189 | |
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| 190 | assert allclose(f, answer) |
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| 191 | |
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| 192 | def test_smooth_attributes_to_meshIII(self): |
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| 193 | |
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| 194 | a = [-1.0, 0.0] |
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| 195 | b = [3.0, 4.0] |
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| 196 | c = [4.0,1.0] |
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| 197 | d = [-3.0, 2.0] #3 |
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| 198 | e = [-1.0,-2.0] |
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| 199 | f = [1.0, -2.0] #5 |
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| 200 | |
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| 201 | vertices = [a, b, c, d,e,f] |
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| 202 | triangles = [[0,1,3],[1,0,2],[0,4,5], [0,5,2]] #abd bac aef afc |
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| 203 | |
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| 204 | point_coords = [[-2.0, 2.0], |
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| 205 | [-1.0, 1.0], |
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| 206 | [0.0,2.0], |
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| 207 | [1.0, 1.0], |
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| 208 | [2.0, 1.0], |
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| 209 | [0.0,0.0], |
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| 210 | [1.0, 0.0], |
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| 211 | [0.0, -1.0], |
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| 212 | [-0.2,-0.5], |
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| 213 | [-0.9, -1.5], |
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| 214 | [0.5, -1.9], |
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| 215 | [3.0,1.0]] |
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| 216 | |
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| 217 | z = linear_function(point_coords) |
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| 218 | interp = Interpolation(vertices, triangles, point_coords, alpha=0.0) |
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| 219 | |
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| 220 | #print 'z',z |
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| 221 | f = interp.fit(z) |
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| 222 | answer = linear_function(vertices) |
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| 223 | #print "f\n",f |
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| 224 | #print "answer\n",answer |
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| 225 | assert allclose(f, answer) |
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| 226 | |
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| 227 | |
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| 228 | def test_smooth_attributes_to_meshIV(self): |
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| 229 | """ Testing 2 attributes smoothed to the mesh |
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| 230 | """ |
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| 231 | |
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| 232 | a = [0.0, 0.0] |
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| 233 | b = [0.0, 5.0] |
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| 234 | c = [5.0, 0.0] |
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| 235 | points = [a, b, c] |
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| 236 | triangles = [ [1,0,2] ] #bac |
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| 237 | |
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| 238 | d1 = [1.0, 1.0] |
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| 239 | d2 = [1.0, 3.0] |
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| 240 | d3 = [3.0,1.0] |
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| 241 | z1 = [2,4] |
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| 242 | z2 = [4,8] |
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| 243 | z3 = [4,8] |
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| 244 | data_coords = [ d1, d2, d3] |
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| 245 | |
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| 246 | interp = Interpolation(points, triangles, data_coords, alpha=0.0) |
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| 247 | z = [z1, z2, z3] |
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| 248 | f = interp.fit_points(z) |
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| 249 | answer = [[0,0], [5., 10.], [5., 10.]] |
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| 250 | assert allclose(f, answer) |
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| 251 | |
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| 252 | def test_interpolate_attributes_to_points(self): |
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| 253 | v0 = [0.0, 0.0] |
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| 254 | v1 = [0.0, 5.0] |
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| 255 | v2 = [5.0, 0.0] |
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| 256 | |
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| 257 | vertices = [v0, v1, v2] |
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| 258 | triangles = [ [1,0,2] ] #bac |
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| 259 | |
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| 260 | d0 = [1.0, 1.0] |
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| 261 | d1 = [1.0, 2.0] |
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| 262 | d2 = [3.0,1.0] |
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| 263 | point_coords = [ d0, d1, d2] |
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| 264 | |
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| 265 | interp = Interpolation(vertices, triangles, point_coords) |
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| 266 | f = linear_function(vertices) |
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| 267 | z = interp.interpolate(f) |
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| 268 | answer = linear_function(point_coords) |
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| 269 | |
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| 270 | |
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| 271 | assert allclose(z, answer) |
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| 272 | |
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| 273 | |
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| 274 | def test_interpolate_attributes_to_pointsII(self): |
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| 275 | a = [-1.0, 0.0] |
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| 276 | b = [3.0, 4.0] |
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| 277 | c = [4.0,1.0] |
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| 278 | d = [-3.0, 2.0] #3 |
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| 279 | e = [-1.0,-2.0] |
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| 280 | f = [1.0, -2.0] #5 |
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| 281 | |
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| 282 | vertices = [a, b, c, d,e,f] |
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| 283 | triangles = [[0,1,3],[1,0,2],[0,4,5], [0,5,2]] #abd bac aef afc |
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| 284 | |
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| 285 | |
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| 286 | point_coords = [[-2.0, 2.0], |
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| 287 | [-1.0, 1.0], |
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| 288 | [0.0,2.0], |
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| 289 | [1.0, 1.0], |
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| 290 | [2.0, 1.0], |
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| 291 | [0.0,0.0], |
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| 292 | [1.0, 0.0], |
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| 293 | [0.0, -1.0], |
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| 294 | [-0.2,-0.5], |
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| 295 | [-0.9, -1.5], |
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| 296 | [0.5, -1.9], |
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| 297 | [3.0,1.0]] |
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| 298 | |
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| 299 | interp = Interpolation(vertices, triangles, point_coords) |
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| 300 | f = linear_function(vertices) |
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| 301 | z = interp.interpolate(f) |
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| 302 | answer = linear_function(point_coords) |
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| 303 | #print "z",z |
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| 304 | #print "answer",answer |
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| 305 | assert allclose(z, answer) |
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| 306 | |
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| 307 | def test_interpolate_attributes_to_pointsIII(self): |
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| 308 | v0 = [0.0, 0.0] |
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| 309 | v1 = [0.0, 5.0] |
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| 310 | v2 = [5.0, 0.0] |
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| 311 | |
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| 312 | vertices = [v0, v1, v2] |
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| 313 | triangles = [ [1,0,2] ] #bac |
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| 314 | |
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| 315 | d0 = [1.0, 1.0] |
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| 316 | d1 = [1.0, 2.0] |
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| 317 | d2 = [3.0,1.0] |
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| 318 | point_coords = [ d0, d1, d2] |
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| 319 | |
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| 320 | interp = Interpolation(vertices, triangles, point_coords) |
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| 321 | f = [ [0., 0.], [5., 10.], [5., 10.]] #linear_function(vertices) |
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| 322 | #print "f",f |
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| 323 | |
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| 324 | z = interp.interpolate(f) |
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| 325 | answer = [ [2., 4.], [3., 6.], [4., 8.]] |
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| 326 | |
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| 327 | #print "***********" |
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| 328 | #print "z",z |
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| 329 | #print "answer",answer |
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| 330 | #print "***********" |
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| 331 | |
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| 332 | assert allclose(z, answer) |
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| 333 | |
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| 334 | def test_interpolate_attributes_to_pointsIV(self): |
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| 335 | a = [-1.0, 0.0] |
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| 336 | b = [3.0, 4.0] |
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| 337 | c = [4.0,1.0] |
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| 338 | d = [-3.0, 2.0] #3 |
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| 339 | e = [-1.0,-2.0] |
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| 340 | f = [1.0, -2.0] #5 |
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| 341 | |
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| 342 | vertices = [a, b, c, d,e,f] |
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| 343 | triangles = [[0,1,3],[1,0,2],[0,4,5], [0,5,2]] #abd bac aef afc |
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| 344 | |
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| 345 | |
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| 346 | point_coords = [[-2.0, 2.0], |
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| 347 | [-1.0, 1.0], |
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| 348 | [0.0,2.0], |
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| 349 | [1.0, 1.0], |
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| 350 | [2.0, 1.0], |
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| 351 | [0.0,0.0], |
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| 352 | [1.0, 0.0], |
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| 353 | [0.0, -1.0], |
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| 354 | [-0.2,-0.5], |
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| 355 | [-0.9, -1.5], |
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| 356 | [0.5, -1.9], |
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| 357 | [3.0,1.0]] |
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| 358 | |
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| 359 | interp = Interpolation(vertices, triangles, point_coords) |
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| 360 | f = array([linear_function(vertices),2*linear_function(vertices) ]) |
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| 361 | f = transpose(f) |
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| 362 | #print "f",f |
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| 363 | z = interp.interpolate(f) |
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| 364 | answer = [linear_function(point_coords), |
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| 365 | |
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| 366 | 2*linear_function(point_coords) ] |
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| 367 | answer = transpose(answer) |
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| 368 | #print "z",z |
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| 369 | #print "answer",answer |
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| 370 | assert allclose(z, answer) |
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| 371 | |
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| 372 | def test_smooth_attributes_to_mesh_function(self): |
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| 373 | """ Testing 2 attributes smoothed to the mesh |
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| 374 | """ |
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| 375 | """Test multiple attributes |
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| 376 | """ |
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| 377 | |
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| 378 | a = [0.0, 0.0] |
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| 379 | b = [0.0, 5.0] |
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| 380 | c = [5.0, 0.0] |
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| 381 | points = [a, b, c] |
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| 382 | triangles = [ [1,0,2] ] #bac |
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| 383 | |
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| 384 | d1 = [1.0, 1.0] |
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| 385 | d2 = [1.0, 3.0] |
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| 386 | d3 = [3.0,1.0] |
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| 387 | z1 = [2,4] |
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| 388 | z2 = [4,8] |
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| 389 | z3 = [4,8] |
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| 390 | data_coords = [ d1, d2, d3] |
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| 391 | z = [z1, z2, z3] |
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| 392 | |
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| 393 | f = fit_to_mesh(points, triangles, data_coords, z, alpha=0.0) |
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| 394 | answer = [[0, 0], [5., 10.], [5., 10.]] |
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| 395 | |
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| 396 | assert allclose(f, answer) |
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| 397 | |
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| 398 | |
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| 399 | |
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| 400 | #Tests of smoothing matrix |
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| 401 | def test_smoothing_matrix_one_triangle(self): |
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| 402 | from Numeric import dot |
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| 403 | a = [0.0, 0.0] |
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| 404 | b = [0.0, 2.0] |
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| 405 | c = [2.0,0.0] |
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| 406 | points = [a, b, c] |
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| 407 | |
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| 408 | vertices = [ [1,0,2] ] #bac |
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| 409 | |
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| 410 | interp = Interpolation(points, vertices) |
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| 411 | |
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| 412 | assert allclose(interp.get_D(), [[1, -0.5, -0.5], |
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| 413 | [-0.5, 0.5, 0], |
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| 414 | [-0.5, 0, 0.5]]) |
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| 415 | |
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| 416 | #Define f(x,y) = x |
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| 417 | f = array([0,0,2]) #Value at global vertex 2 |
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| 418 | |
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| 419 | #Check that int (df/dx)**2 + (df/dy)**2 dx dy = |
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| 420 | # int 1 dx dy = area = 2 |
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| 421 | assert dot(dot(f, interp.get_D()), f) == 2 |
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| 422 | |
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| 423 | #Define f(x,y) = y |
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| 424 | f = array([0,2,0]) #Value at global vertex 1 |
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| 425 | |
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| 426 | #Check that int (df/dx)**2 + (df/dy)**2 dx dy = |
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| 427 | # int 1 dx dy = area = 2 |
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| 428 | assert dot(dot(f, interp.get_D()), f) == 2 |
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| 429 | |
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| 430 | #Define f(x,y) = x+y |
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| 431 | f = array([0,2,2]) #Values at global vertex 1 and 2 |
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| 432 | |
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| 433 | #Check that int (df/dx)**2 + (df/dy)**2 dx dy = |
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| 434 | # int 2 dx dy = 2*area = 4 |
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| 435 | assert dot(dot(f, interp.get_D()), f) == 4 |
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| 436 | |
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| 437 | |
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| 438 | |
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| 439 | def test_smoothing_matrix_more_triangles(self): |
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| 440 | from Numeric import dot |
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| 441 | |
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| 442 | a = [0.0, 0.0] |
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| 443 | b = [0.0, 2.0] |
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| 444 | c = [2.0,0.0] |
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| 445 | d = [0.0, 4.0] |
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| 446 | e = [2.0, 2.0] |
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| 447 | f = [4.0,0.0] |
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| 448 | |
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| 449 | points = [a, b, c, d, e, f] |
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| 450 | #bac, bce, ecf, dbe, daf, dae |
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| 451 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 452 | |
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| 453 | interp = Interpolation(points, vertices) |
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| 454 | |
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| 455 | |
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| 456 | #assert allclose(interp.get_D(), [[1, -0.5, -0.5], |
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| 457 | # [-0.5, 0.5, 0], |
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| 458 | # [-0.5, 0, 0.5]]) |
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| 459 | |
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| 460 | #Define f(x,y) = x |
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| 461 | f = array([0,0,2,0,2,4]) #f evaluated at points a-f |
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| 462 | |
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| 463 | #Check that int (df/dx)**2 + (df/dy)**2 dx dy = |
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| 464 | # int 1 dx dy = total area = 8 |
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| 465 | assert dot(dot(f, interp.get_D()), f) == 8 |
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| 466 | |
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| 467 | #Define f(x,y) = y |
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| 468 | f = array([0,2,0,4,2,0]) #f evaluated at points a-f |
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| 469 | |
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| 470 | #Check that int (df/dx)**2 + (df/dy)**2 dx dy = |
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| 471 | # int 1 dx dy = area = 8 |
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| 472 | assert dot(dot(f, interp.get_D()), f) == 8 |
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| 473 | |
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| 474 | #Define f(x,y) = x+y |
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| 475 | f = array([0,2,2,4,4,4]) #f evaluated at points a-f |
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| 476 | |
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| 477 | #Check that int (df/dx)**2 + (df/dy)**2 dx dy = |
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| 478 | # int 2 dx dy = 2*area = 16 |
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| 479 | assert dot(dot(f, interp.get_D()), f) == 16 |
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| 480 | |
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| 481 | |
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| 482 | def test_fit_and_interpolation(self): |
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| 483 | from mesh import Mesh |
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| 484 | |
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| 485 | a = [0.0, 0.0] |
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| 486 | b = [0.0, 2.0] |
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| 487 | c = [2.0, 0.0] |
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| 488 | d = [0.0, 4.0] |
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| 489 | e = [2.0, 2.0] |
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| 490 | f = [4.0, 0.0] |
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| 491 | |
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| 492 | points = [a, b, c, d, e, f] |
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| 493 | #bac, bce, ecf, dbe, daf, dae |
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| 494 | triangles = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 495 | |
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| 496 | #Get (enough) datapoints |
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| 497 | data_points = [[ 0.66666667, 0.66666667], |
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| 498 | [ 1.33333333, 1.33333333], |
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| 499 | [ 2.66666667, 0.66666667], |
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| 500 | [ 0.66666667, 2.66666667], |
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| 501 | [ 0.0, 1.0], |
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| 502 | [ 0.0, 3.0], |
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| 503 | [ 1.0, 0.0], |
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| 504 | [ 1.0, 1.0], |
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| 505 | [ 1.0, 2.0], |
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| 506 | [ 1.0, 3.0], |
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| 507 | [ 2.0, 1.0], |
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| 508 | [ 3.0, 0.0], |
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| 509 | [ 3.0, 1.0]] |
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| 510 | |
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| 511 | interp = Interpolation(points, triangles, data_points, alpha=0.0) |
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| 512 | |
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| 513 | z = linear_function(data_points) |
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| 514 | answer = linear_function(points) |
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| 515 | |
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| 516 | f = interp.fit(z) |
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| 517 | |
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| 518 | #print "f",f |
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| 519 | #print "answer",answer |
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| 520 | assert allclose(f, answer) |
|---|
| 521 | |
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| 522 | #Map back |
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| 523 | z1 = interp.interpolate(f) |
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| 524 | #print "z1\n", z1 |
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| 525 | #print "z\n",z |
|---|
| 526 | assert allclose(z, z1) |
|---|
| 527 | |
|---|
| 528 | |
|---|
| 529 | def test_smoothing_and_interpolation(self): |
|---|
| 530 | |
|---|
| 531 | a = [0.0, 0.0] |
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| 532 | b = [0.0, 2.0] |
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| 533 | c = [2.0, 0.0] |
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| 534 | d = [0.0, 4.0] |
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| 535 | e = [2.0, 2.0] |
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| 536 | f = [4.0, 0.0] |
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| 537 | |
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| 538 | points = [a, b, c, d, e, f] |
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| 539 | #bac, bce, ecf, dbe, daf, dae |
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| 540 | triangles = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
|---|
| 541 | |
|---|
| 542 | #Get (too few!) datapoints |
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| 543 | data_points = [[ 0.66666667, 0.66666667], |
|---|
| 544 | [ 1.33333333, 1.33333333], |
|---|
| 545 | [ 2.66666667, 0.66666667], |
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| 546 | [ 0.66666667, 2.66666667]] |
|---|
| 547 | |
|---|
| 548 | z = linear_function(data_points) |
|---|
| 549 | answer = linear_function(points) |
|---|
| 550 | |
|---|
| 551 | #Make interpolator with too few data points and no smoothing |
|---|
| 552 | interp = Interpolation(points, triangles, data_points, alpha=0.0) |
|---|
| 553 | #Must raise an exception |
|---|
| 554 | try: |
|---|
| 555 | f = interp.fit(z) |
|---|
| 556 | except: |
|---|
| 557 | pass |
|---|
| 558 | |
|---|
| 559 | #Now try with smoothing parameter |
|---|
| 560 | interp = Interpolation(points, triangles, data_points, alpha=1.0e-13) |
|---|
| 561 | |
|---|
| 562 | f = interp.fit(z) |
|---|
| 563 | #f will be different from answerr due to smoothing |
|---|
| 564 | assert allclose(f, answer,atol=5) |
|---|
| 565 | |
|---|
| 566 | #Map back |
|---|
| 567 | z1 = interp.interpolate(f) |
|---|
| 568 | assert allclose(z, z1) |
|---|
| 569 | |
|---|
| 570 | def test_fit_to_mesh_file(self): |
|---|
| 571 | from load_mesh.loadASCII import mesh_file_to_mesh_dictionary, \ |
|---|
| 572 | export_trianglulation_file |
|---|
| 573 | import tempfile |
|---|
| 574 | import os |
|---|
| 575 | |
|---|
| 576 | # create a .tsh file, no user outline |
|---|
| 577 | mesh_dic = {} |
|---|
| 578 | mesh_dic['generatedpointlist'] = [[0.0, 0.0], |
|---|
| 579 | [0.0, 5.0], |
|---|
| 580 | [5.0, 0.0]] |
|---|
| 581 | mesh_dic['generatedtrianglelist'] = [[0, 2, 1]] |
|---|
| 582 | mesh_dic['generatedsegmentlist'] = [[0, 1], [2, 0], [1, 2]] |
|---|
| 583 | mesh_dic['generatedtriangleattributelist'] = [['']] |
|---|
| 584 | mesh_dic['generatedpointattributelist'] = [[], [], []] |
|---|
| 585 | mesh_dic['generatedpointattributetitlelist'] = [] |
|---|
| 586 | mesh_dic['generatedtriangleneighborlist'] = [[-1, -1, -1]] |
|---|
| 587 | mesh_dic['generatedsegmentmarkerlist'] = ['external', |
|---|
| 588 | 'external', |
|---|
| 589 | 'external'] |
|---|
| 590 | mesh_file = tempfile.mktemp(".tsh") |
|---|
| 591 | export_trianglulation_file(mesh_file,mesh_dic) |
|---|
| 592 | |
|---|
| 593 | # create an .xya file |
|---|
| 594 | point_file = tempfile.mktemp(".xya") |
|---|
| 595 | fd = open(point_file,'w') |
|---|
| 596 | fd.write("elevation, stage \n 1.0, 1.0,2.,4 \n 1.0, 3.0,4,8 \n 3.0,1.0,4.,8 \n") |
|---|
| 597 | fd.close() |
|---|
| 598 | |
|---|
| 599 | mesh_output_file = "new_trianlge.tsh" |
|---|
| 600 | fit_to_mesh_file(mesh_file, |
|---|
| 601 | point_file, |
|---|
| 602 | mesh_output_file, |
|---|
| 603 | alpha = 0.0) |
|---|
| 604 | # load in the .tsh file we just wrote |
|---|
| 605 | mesh_dic = mesh_file_to_mesh_dictionary(mesh_output_file) |
|---|
| 606 | |
|---|
| 607 | assert allclose(mesh_dic['generatedpointattributelist'], |
|---|
| 608 | [[0.0, 0.0], |
|---|
| 609 | [5.0, 10.0], |
|---|
| 610 | [5.0,10.0]]) |
|---|
| 611 | |
|---|
| 612 | self.failUnless(mesh_dic['generatedpointattributetitlelist'] == |
|---|
| 613 | ['elevation','stage'], |
|---|
| 614 | 'test_fit_to_mesh_file failed') |
|---|
| 615 | |
|---|
| 616 | #clean up |
|---|
| 617 | os.remove(mesh_file) |
|---|
| 618 | os.remove(point_file) |
|---|
| 619 | |
|---|
| 620 | def test_fit_to_mesh_fileII(self): |
|---|
| 621 | from load_mesh.loadASCII import mesh_file_to_mesh_dictionary, \ |
|---|
| 622 | export_trianglulation_file |
|---|
| 623 | import tempfile |
|---|
| 624 | import os |
|---|
| 625 | |
|---|
| 626 | # create a .tsh file, no user outline |
|---|
| 627 | mesh_dic = {} |
|---|
| 628 | mesh_dic['generatedpointlist'] = [[0.0, 0.0], |
|---|
| 629 | [0.0, 5.0], |
|---|
| 630 | [5.0, 0.0]] |
|---|
| 631 | mesh_dic['generatedtrianglelist'] = [[0, 2, 1]] |
|---|
| 632 | mesh_dic['generatedsegmentlist'] = [[0, 1], [2, 0], [1, 2]] |
|---|
| 633 | mesh_dic['generatedtriangleattributelist'] = [['']] |
|---|
| 634 | mesh_dic['generatedpointattributelist'] = [[1,2], [1,2], [1,2]] |
|---|
| 635 | mesh_dic['generatedpointattributetitlelist'] = ['density', 'temp'] |
|---|
| 636 | mesh_dic['generatedtriangleneighborlist'] = [[-1, -1, -1]] |
|---|
| 637 | mesh_dic['generatedsegmentmarkerlist'] = ['external', |
|---|
| 638 | 'external', |
|---|
| 639 | 'external'] |
|---|
| 640 | mesh_file = tempfile.mktemp(".tsh") |
|---|
| 641 | export_trianglulation_file(mesh_file,mesh_dic) |
|---|
| 642 | |
|---|
| 643 | # create an .xya file |
|---|
| 644 | point_file = tempfile.mktemp(".xya") |
|---|
| 645 | fd = open(point_file,'w') |
|---|
| 646 | fd.write("elevation, stage \n 1.0, 1.0,2.,4 \n 1.0, 3.0,4,8 \n 3.0,1.0,4.,8 \n") |
|---|
| 647 | fd.close() |
|---|
| 648 | |
|---|
| 649 | mesh_output_file = "new_trianlge.tsh" |
|---|
| 650 | fit_to_mesh_file(mesh_file, |
|---|
| 651 | point_file, |
|---|
| 652 | mesh_output_file, |
|---|
| 653 | alpha = 0.0) |
|---|
| 654 | # load in the .tsh file we just wrote |
|---|
| 655 | mesh_dic = mesh_file_to_mesh_dictionary(mesh_output_file) |
|---|
| 656 | |
|---|
| 657 | assert allclose(mesh_dic['generatedpointattributelist'], |
|---|
| 658 | [[1.0, 2.0,0.0, 0.0], |
|---|
| 659 | [1.0, 2.0,5.0, 10.0], |
|---|
| 660 | [1.0, 2.0,5.0,10.0]]) |
|---|
| 661 | |
|---|
| 662 | self.failUnless(mesh_dic['generatedpointattributetitlelist'] == |
|---|
| 663 | ['density', 'temp','elevation','stage'], |
|---|
| 664 | 'test_fit_to_mesh_file failed') |
|---|
| 665 | |
|---|
| 666 | #clean up |
|---|
| 667 | os.remove(mesh_file) |
|---|
| 668 | os.remove(point_file) |
|---|
| 669 | |
|---|
| 670 | #------------------------------------------------------------- |
|---|
| 671 | if __name__ == "__main__": |
|---|
| 672 | suite = unittest.makeSuite(TestCase,'test') |
|---|
| 673 | runner = unittest.TextTestRunner() #(verbosity=2) |
|---|
| 674 | runner.run(suite) |
|---|
| 675 | |
|---|
| 676 | |
|---|
| 677 | |
|---|
| 678 | |
|---|
| 679 | |
|---|
| 680 | |
|---|
