| 1 | #!/usr/bin/env python |
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| 2 | |
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| 3 | #TEST |
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| 4 | import sys |
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| 5 | import unittest |
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| 6 | from math import sqrt |
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| 7 | import tempfile |
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| 8 | import os |
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| 9 | from Numeric import zeros, take, compress, Float, Int, dot, concatenate, \ |
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| 10 | ArrayType, allclose, array |
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| 11 | |
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| 12 | from fit import * |
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| 13 | from anuga.abstract_2d_finite_volumes.neighbour_mesh import Mesh |
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| 14 | from anuga.utilities.sparse import Sparse, Sparse_CSR |
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| 15 | from anuga.coordinate_transforms.geo_reference import Geo_reference |
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| 16 | from anuga.utilities.numerical_tools import ensure_numeric |
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| 17 | from anuga.geospatial_data.geospatial_data import Geospatial_data |
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| 18 | |
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| 19 | def distance(x, y): |
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| 20 | return sqrt( sum( (array(x)-array(y))**2 )) |
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| 21 | |
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| 22 | def linear_function(point): |
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| 23 | point = array(point) |
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| 24 | return point[:,0]+point[:,1] |
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| 25 | |
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| 26 | |
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| 27 | class Test_Fit(unittest.TestCase): |
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| 28 | |
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| 29 | def setUp(self): |
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| 30 | pass |
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| 31 | |
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| 32 | def tearDown(self): |
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| 33 | pass |
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| 34 | |
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| 35 | |
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| 36 | def test_smooth_attributes_to_mesh(self): |
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| 37 | a = [0.0, 0.0] |
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| 38 | b = [0.0, 5.0] |
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| 39 | c = [5.0, 0.0] |
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| 40 | points = [a, b, c] |
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| 41 | triangles = [ [1,0,2] ] #bac |
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| 42 | |
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| 43 | d1 = [1.0, 1.0] |
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| 44 | d2 = [1.0, 3.0] |
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| 45 | d3 = [3.0,1.0] |
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| 46 | z1 = 2 |
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| 47 | z2 = 4 |
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| 48 | z3 = 4 |
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| 49 | data_coords = [d1, d2, d3] |
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| 50 | |
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| 51 | z = [z1, z2, z3] |
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| 52 | fit = Fit(points, triangles, alpha=0) |
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| 53 | #print "interp.get_A()", interp.get_A() |
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| 54 | fit._build_matrix_AtA_Atz(ensure_numeric(data_coords), |
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| 55 | ensure_numeric(z)) |
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| 56 | #print "Atz - from fit", fit.Atz |
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| 57 | #print "AtA - from fit", fit.AtA.todense() |
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| 58 | #print "z",z |
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| 59 | |
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| 60 | assert allclose(fit.Atz, [2.8, 3.6, 3.6], atol=1e-7) |
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| 61 | |
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| 62 | f = fit.fit() |
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| 63 | |
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| 64 | answer = [0, 5., 5.] |
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| 65 | |
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| 66 | #print "f\n",f |
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| 67 | #print "answer\n",answer |
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| 68 | |
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| 69 | assert allclose(f, answer, atol=1e-7) |
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| 70 | |
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| 71 | def test_smooth_att_to_meshII(self): |
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| 72 | |
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| 73 | a = [0.0, 0.0] |
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| 74 | b = [0.0, 5.0] |
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| 75 | c = [5.0, 0.0] |
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| 76 | points = [a, b, c] |
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| 77 | triangles = [ [1,0,2] ] #bac |
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| 78 | |
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| 79 | d1 = [1.0, 1.0] |
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| 80 | d2 = [1.0, 2.0] |
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| 81 | d3 = [3.0,1.0] |
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| 82 | data_coords = [d1, d2, d3] |
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| 83 | z = linear_function(data_coords) |
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| 84 | #print "z",z |
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| 85 | |
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| 86 | interp = Fit(points, triangles, alpha=0.0) |
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| 87 | f = interp.fit(data_coords, z) |
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| 88 | answer = linear_function(points) |
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| 89 | #print "f\n",f |
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| 90 | #print "answer\n",answer |
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| 91 | |
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| 92 | assert allclose(f, answer) |
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| 93 | |
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| 94 | def test_smooth_attributes_to_meshIII(self): |
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| 95 | |
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| 96 | a = [-1.0, 0.0] |
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| 97 | b = [3.0, 4.0] |
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| 98 | c = [4.0,1.0] |
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| 99 | d = [-3.0, 2.0] #3 |
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| 100 | e = [-1.0,-2.0] |
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| 101 | f = [1.0, -2.0] #5 |
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| 102 | |
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| 103 | vertices = [a, b, c, d,e,f] |
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| 104 | triangles = [[0,1,3], [1,0,2], [0,4,5], [0,5,2]] #abd bac aef afc |
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| 105 | |
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| 106 | point_coords = [[-2.0, 2.0], |
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| 107 | [-1.0, 1.0], |
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| 108 | [0.0,2.0], |
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| 109 | [1.0, 1.0], |
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| 110 | [2.0, 1.0], |
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| 111 | [0.0,0.0], |
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| 112 | [1.0, 0.0], |
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| 113 | [0.0, -1.0], |
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| 114 | [-0.2,-0.5], |
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| 115 | [-0.9, -1.5], |
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| 116 | [0.5, -1.9], |
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| 117 | [3.0,1.0]] |
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| 118 | |
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| 119 | z = linear_function(point_coords) |
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| 120 | interp = Fit(vertices, triangles, |
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| 121 | alpha=0.0) |
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| 122 | |
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| 123 | #print 'z',z |
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| 124 | f = interp.fit(point_coords,z) |
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| 125 | answer = linear_function(vertices) |
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| 126 | #print "f\n",f |
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| 127 | #print "answer\n",answer |
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| 128 | assert allclose(f, answer) |
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| 129 | |
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| 130 | |
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| 131 | def test_smooth_attributes_to_meshIV(self): |
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| 132 | """ Testing 2 attributes smoothed to the mesh |
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| 133 | """ |
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| 134 | |
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| 135 | a = [0.0, 0.0] |
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| 136 | b = [0.0, 5.0] |
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| 137 | c = [5.0, 0.0] |
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| 138 | points = [a, b, c] |
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| 139 | triangles = [ [1,0,2] ] #bac |
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| 140 | |
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| 141 | d1 = [1.0, 1.0] |
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| 142 | d2 = [1.0, 3.0] |
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| 143 | d3 = [3.0, 1.0] |
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| 144 | z1 = [2, 4] |
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| 145 | z2 = [4, 8] |
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| 146 | z3 = [4, 8] |
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| 147 | data_coords = [d1, d2, d3] |
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| 148 | |
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| 149 | z = [z1, z2, z3] |
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| 150 | fit = Fit(points, triangles, alpha=0) |
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| 151 | |
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| 152 | f = fit.fit(data_coords,z) |
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| 153 | answer = [[0,0], [5., 10.], [5., 10.]] |
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| 154 | assert allclose(f, answer) |
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| 155 | |
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| 156 | def test_smooth_attributes_to_mesh_build_fit_subset(self): |
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| 157 | |
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| 158 | a = [-1.0, 0.0] |
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| 159 | b = [3.0, 4.0] |
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| 160 | c = [4.0,1.0] |
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| 161 | d = [-3.0, 2.0] #3 |
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| 162 | e = [-1.0,-2.0] |
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| 163 | f = [1.0, -2.0] #5 |
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| 164 | |
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| 165 | vertices = [a, b, c, d,e,f] |
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| 166 | triangles = [[0,1,3], [1,0,2], [0,4,5], [0,5,2]] #abd bac aef afc |
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| 167 | |
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| 168 | interp = Fit(vertices, triangles, |
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| 169 | alpha=0.0) |
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| 170 | |
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| 171 | point_coords = [[-2.0, 2.0], |
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| 172 | [-1.0, 1.0], |
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| 173 | [0.0,2.0], |
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| 174 | [1.0, 1.0], |
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| 175 | ] |
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| 176 | |
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| 177 | z = linear_function(point_coords) |
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| 178 | |
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| 179 | f = interp.build_fit_subset(point_coords,z) |
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| 180 | |
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| 181 | point_coords = [ |
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| 182 | [2.0, 1.0], |
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| 183 | [0.0,0.0], |
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| 184 | [1.0, 0.0], |
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| 185 | [0.0, -1.0], |
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| 186 | [-0.2,-0.5], |
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| 187 | [-0.9, -1.5], |
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| 188 | [0.5, -1.9], |
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| 189 | [3.0,1.0]] |
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| 190 | |
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| 191 | z = linear_function(point_coords) |
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| 192 | |
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| 193 | f = interp.build_fit_subset(point_coords,z) |
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| 194 | |
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| 195 | #print 'z',z |
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| 196 | f = interp.fit() |
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| 197 | answer = linear_function(vertices) |
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| 198 | #print "f\n",f |
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| 199 | #print "answer\n",answer |
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| 200 | assert allclose(f, answer) |
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| 201 | |
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| 202 | # test fit 2 mesh as well. |
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| 203 | def test_fit_file_blocking(self): |
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| 204 | |
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| 205 | a = [-1.0, 0.0] |
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| 206 | b = [3.0, 4.0] |
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| 207 | c = [4.0,1.0] |
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| 208 | d = [-3.0, 2.0] #3 |
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| 209 | e = [-1.0,-2.0] |
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| 210 | f = [1.0, -2.0] #5 |
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| 211 | |
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| 212 | vertices = [a, b, c, d,e,f] |
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| 213 | triangles = [[0,1,3], [1,0,2], [0,4,5], [0,5,2]] #abd bac aef afc |
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| 214 | |
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| 215 | interp = Fit(vertices, triangles, |
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| 216 | alpha=0.0) |
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| 217 | |
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| 218 | |
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| 219 | fileName = tempfile.mktemp(".ddd") |
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| 220 | file = open(fileName,"w") |
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| 221 | file.write(" x,y, elevation \n\ |
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| 222 | -2.0, 2.0, 0.\n\ |
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| 223 | -1.0, 1.0, 0.\n\ |
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| 224 | 0.0, 2.0 , 2.\n\ |
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| 225 | 1.0, 1.0 , 2.\n\ |
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| 226 | 2.0, 1.0 ,3. \n\ |
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| 227 | 0.0, 0.0 , 0.\n\ |
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| 228 | 1.0, 0.0 , 1.\n\ |
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| 229 | 0.0, -1.0, -1.\n\ |
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| 230 | -0.2, -0.5, -0.7\n\ |
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| 231 | -0.9, -1.5, -2.4\n\ |
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| 232 | 0.5, -1.9, -1.4\n\ |
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| 233 | 3.0, 1.0 , 4.\n") |
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| 234 | file.close() |
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| 235 | |
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| 236 | f = interp.fit(fileName, max_read_lines=2) |
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| 237 | answer = linear_function(vertices) |
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| 238 | #print "f\n",f |
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| 239 | #print "answer\n",answer |
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| 240 | assert allclose(f, answer) |
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| 241 | os.remove(fileName) |
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| 242 | |
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| 243 | def test_fit_to_mesh(self): |
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| 244 | |
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| 245 | a = [-1.0, 0.0] |
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| 246 | b = [3.0, 4.0] |
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| 247 | c = [4.0,1.0] |
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| 248 | d = [-3.0, 2.0] #3 |
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| 249 | e = [-1.0,-2.0] |
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| 250 | f = [1.0, -2.0] #5 |
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| 251 | |
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| 252 | vertices = [a, b, c, d,e,f] |
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| 253 | triangles = [[0,1,3], [1,0,2], [0,4,5], [0,5,2]] #abd bac aef afc |
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| 254 | |
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| 255 | |
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| 256 | fileName = tempfile.mktemp(".ddd") |
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| 257 | file = open(fileName,"w") |
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| 258 | file.write(" x,y, elevation \n\ |
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| 259 | -2.0, 2.0, 0.\n\ |
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| 260 | -1.0, 1.0, 0.\n\ |
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| 261 | 0.0, 2.0 , 2.\n\ |
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| 262 | 1.0, 1.0 , 2.\n\ |
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| 263 | 2.0, 1.0 ,3. \n\ |
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| 264 | 0.0, 0.0 , 0.\n\ |
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| 265 | 1.0, 0.0 , 1.\n\ |
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| 266 | 0.0, -1.0, -1.\n\ |
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| 267 | -0.2, -0.5, -0.7\n\ |
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| 268 | -0.9, -1.5, -2.4\n\ |
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| 269 | 0.5, -1.9, -1.4\n\ |
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| 270 | 3.0, 1.0 , 4.\n") |
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| 271 | file.close() |
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| 272 | |
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| 273 | f = fit_to_mesh(vertices, triangles,fileName, |
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| 274 | alpha=0.0, max_read_lines=2) |
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| 275 | #use_cache=True, verbose=True) |
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| 276 | answer = linear_function(vertices) |
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| 277 | #print "f\n",f |
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| 278 | #print "answer\n",answer |
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| 279 | assert allclose(f, answer) |
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| 280 | |
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| 281 | os.remove(fileName) |
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| 282 | |
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| 283 | def test_fit_to_mesh_pts(self): |
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| 284 | a = [-1.0, 0.0] |
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| 285 | b = [3.0, 4.0] |
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| 286 | c = [4.0,1.0] |
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| 287 | d = [-3.0, 2.0] #3 |
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| 288 | e = [-1.0,-2.0] |
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| 289 | f = [1.0, -2.0] #5 |
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| 290 | |
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| 291 | vertices = [a, b, c, d,e,f] |
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| 292 | triangles = [[0,1,3], [1,0,2], [0,4,5], [0,5,2]] #abd bac aef afc |
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| 293 | |
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| 294 | |
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| 295 | fileName = tempfile.mktemp(".xya") |
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| 296 | file = open(fileName,"w") |
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| 297 | file.write(" elevation \n\ |
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| 298 | -2.0, 2.0, 0.\n\ |
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| 299 | -1.0, 1.0, 0.\n\ |
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| 300 | 0.0, 2.0 , 2.\n\ |
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| 301 | 1.0, 1.0 , 2.\n\ |
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| 302 | 2.0, 1.0 ,3. \n\ |
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| 303 | 0.0, 0.0 , 0.\n\ |
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| 304 | 1.0, 0.0 , 1.\n\ |
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| 305 | 0.0, -1.0, -1.\n\ |
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| 306 | -0.2, -0.5, -0.7\n\ |
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| 307 | -0.9, -1.5, -2.4\n\ |
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| 308 | 0.5, -1.9, -1.4\n\ |
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| 309 | 3.0, 1.0 , 4.\n") |
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| 310 | file.close() |
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| 311 | |
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| 312 | geo = Geospatial_data(fileName) |
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| 313 | fileName_pts = tempfile.mktemp(".pts") |
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| 314 | geo.export_points_file(fileName_pts) |
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| 315 | f = fit_to_mesh(vertices, triangles,fileName_pts, |
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| 316 | alpha=0.0, max_read_lines=2) |
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| 317 | #use_cache=True, verbose=True) |
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| 318 | answer = linear_function(vertices) |
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| 319 | #print "f\n",f |
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| 320 | #print "answer\n",answer |
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| 321 | assert allclose(f, answer) |
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| 322 | os.remove(fileName) |
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| 323 | os.remove(fileName_pts) |
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| 324 | |
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| 325 | def test_fit_to_mesh(self): |
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| 326 | |
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| 327 | a = [-1.0, 0.0] |
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| 328 | b = [3.0, 4.0] |
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| 329 | c = [4.0,1.0] |
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| 330 | d = [-3.0, 2.0] #3 |
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| 331 | e = [-1.0,-2.0] |
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| 332 | f = [1.0, -2.0] #5 |
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| 333 | |
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| 334 | vertices = [a, b, c, d,e,f] |
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| 335 | triangles = [[0,1,3], [1,0,2], [0,4,5], [0,5,2]] #abd bac aef afc |
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| 336 | |
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| 337 | |
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| 338 | fileName = tempfile.mktemp(".ddd") |
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| 339 | file = open(fileName,"w") |
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| 340 | file.write(" x,y, elevation \n\ |
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| 341 | -2.0, 2.0, 0.\n\ |
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| 342 | -1.0, 1.0, 0.\n\ |
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| 343 | 0.0, 2.0 , 2.\n\ |
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| 344 | 1.0, 1.0 , 2.\n\ |
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| 345 | 2.0, 1.0 ,3. \n\ |
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| 346 | 0.0, 0.0 , 0.\n\ |
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| 347 | 1.0, 0.0 , 1.\n\ |
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| 348 | 0.0, -1.0, -1.\n\ |
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| 349 | -0.2, -0.5, -0.7\n\ |
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| 350 | -0.9, -1.5, -2.4\n\ |
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| 351 | 0.5, -1.9, -1.4\n\ |
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| 352 | 3.0, 1.0 , 4.\n") |
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| 353 | file.close() |
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| 354 | |
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| 355 | f = fit_to_mesh(vertices, triangles,fileName, |
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| 356 | alpha=0.0, max_read_lines=2) |
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| 357 | #use_cache=True, verbose=True) |
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| 358 | answer = linear_function(vertices) |
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| 359 | #print "f\n",f |
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| 360 | #print "answer\n",answer |
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| 361 | assert allclose(f, answer) |
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| 362 | |
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| 363 | os.remove(fileName) |
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| 364 | |
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| 365 | def test_fit_to_mesh_2_atts(self): |
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| 366 | |
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| 367 | a = [-1.0, 0.0] |
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| 368 | b = [3.0, 4.0] |
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| 369 | c = [4.0,1.0] |
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| 370 | d = [-3.0, 2.0] #3 |
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| 371 | e = [-1.0,-2.0] |
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| 372 | f = [1.0, -2.0] #5 |
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| 373 | |
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| 374 | vertices = [a, b, c, d,e,f] |
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| 375 | triangles = [[0,1,3], [1,0,2], [0,4,5], [0,5,2]] #abd bac aef afc |
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| 376 | |
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| 377 | |
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| 378 | fileName = tempfile.mktemp(".ddd") |
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| 379 | file = open(fileName,"w") |
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| 380 | # the 2nd att name is wacky so it's the first key off a hash table |
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| 381 | file.write(" x,y, elevation, afriqction \n\ |
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| 382 | -2.0, 2.0, 0., 0.\n\ |
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| 383 | -1.0, 1.0, 0., 0.\n\ |
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| 384 | 0.0, 2.0 , 2., 20.\n\ |
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| 385 | 1.0, 1.0 , 2., 20.\n\ |
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| 386 | 2.0, 1.0 ,3., 30. \n\ |
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| 387 | 0.0, 0.0 , 0., 0.\n\ |
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| 388 | 1.0, 0.0 , 1., 10.\n\ |
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| 389 | 0.0, -1.0, -1., -10.\n\ |
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| 390 | -0.2, -0.5, -0.7, -7.\n\ |
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| 391 | -0.9, -1.5, -2.4, -24. \n\ |
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| 392 | 0.5, -1.9, -1.4, -14. \n\ |
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| 393 | 3.0, 1.0 , 4., 40. \n") |
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| 394 | file.close() |
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| 395 | |
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| 396 | f = fit_to_mesh(vertices, triangles,fileName, |
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| 397 | alpha=0.0, |
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| 398 | attribute_name='elevation', max_read_lines=2) |
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| 399 | answer = linear_function(vertices) |
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| 400 | #print "f\n",f |
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| 401 | #print "answer\n",answer |
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| 402 | assert allclose(f, answer) |
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| 403 | os.remove(fileName) |
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| 404 | |
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| 405 | def test_fit_and_interpolation(self): |
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| 406 | |
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| 407 | a = [0.0, 0.0] |
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| 408 | b = [0.0, 2.0] |
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| 409 | c = [2.0, 0.0] |
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| 410 | d = [0.0, 4.0] |
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| 411 | e = [2.0, 2.0] |
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| 412 | f = [4.0, 0.0] |
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| 413 | |
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| 414 | points = [a, b, c, d, e, f] |
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| 415 | #bac, bce, ecf, dbe, daf, dae |
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| 416 | triangles = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 417 | |
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| 418 | #Get (enough) datapoints |
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| 419 | data_points = [[ 0.66666667, 0.66666667], |
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| 420 | [ 1.33333333, 1.33333333], |
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| 421 | [ 2.66666667, 0.66666667], |
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| 422 | [ 0.66666667, 2.66666667], |
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| 423 | [ 0.0, 1.0], |
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| 424 | [ 0.0, 3.0], |
|---|
| 425 | [ 1.0, 0.0], |
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| 426 | [ 1.0, 1.0], |
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| 427 | [ 1.0, 2.0], |
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| 428 | [ 1.0, 3.0], |
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| 429 | [ 2.0, 1.0], |
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| 430 | [ 3.0, 0.0], |
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| 431 | [ 3.0, 1.0]] |
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| 432 | |
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| 433 | z = linear_function(data_points) |
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| 434 | interp = Fit(points, triangles, |
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| 435 | alpha=0.0) |
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| 436 | |
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| 437 | answer = linear_function(points) |
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| 438 | |
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| 439 | f = interp.fit(data_points, z) |
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| 440 | |
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| 441 | #print "f",f |
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| 442 | #print "answer",answer |
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| 443 | assert allclose(f, answer) |
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| 444 | |
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| 445 | |
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| 446 | def test_smoothing_and_interpolation(self): |
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| 447 | |
|---|
| 448 | a = [0.0, 0.0] |
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| 449 | b = [0.0, 2.0] |
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| 450 | c = [2.0, 0.0] |
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| 451 | d = [0.0, 4.0] |
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| 452 | e = [2.0, 2.0] |
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| 453 | f = [4.0, 0.0] |
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| 454 | |
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| 455 | points = [a, b, c, d, e, f] |
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| 456 | #bac, bce, ecf, dbe, daf, dae |
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| 457 | triangles = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 458 | |
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| 459 | #Get (too few!) datapoints |
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| 460 | data_points = [[ 0.66666667, 0.66666667], |
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| 461 | [ 1.33333333, 1.33333333], |
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| 462 | [ 2.66666667, 0.66666667], |
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| 463 | [ 0.66666667, 2.66666667]] |
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| 464 | |
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| 465 | z = linear_function(data_points) |
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| 466 | answer = linear_function(points) |
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| 467 | |
|---|
| 468 | #Make interpolator with too few data points and no smoothing |
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| 469 | interp = Fit(points, triangles, alpha=0.0) |
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| 470 | #Must raise an exception |
|---|
| 471 | try: |
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| 472 | f = interp.fit(data_points,z) |
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| 473 | except ToFewPointsError: |
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| 474 | pass |
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| 475 | |
|---|
| 476 | #Now try with smoothing parameter |
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| 477 | interp = Fit(points, triangles, alpha=1.0e-13) |
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| 478 | |
|---|
| 479 | f = interp.fit(data_points,z) |
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| 480 | #f will be different from answer due to smoothing |
|---|
| 481 | assert allclose(f, answer,atol=5) |
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| 482 | |
|---|
| 483 | |
|---|
| 484 | #Tests of smoothing matrix |
|---|
| 485 | def test_smoothing_matrix_one_triangle(self): |
|---|
| 486 | from Numeric import dot |
|---|
| 487 | a = [0.0, 0.0] |
|---|
| 488 | b = [0.0, 2.0] |
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| 489 | c = [2.0,0.0] |
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| 490 | points = [a, b, c] |
|---|
| 491 | |
|---|
| 492 | vertices = [ [1,0,2] ] #bac |
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| 493 | |
|---|
| 494 | interp = Fit(points, vertices) |
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| 495 | |
|---|
| 496 | assert allclose(interp.get_D(), [[1, -0.5, -0.5], |
|---|
| 497 | [-0.5, 0.5, 0], |
|---|
| 498 | [-0.5, 0, 0.5]]) |
|---|
| 499 | |
|---|
| 500 | #Define f(x,y) = x |
|---|
| 501 | f = array([0,0,2]) #Value at global vertex 2 |
|---|
| 502 | |
|---|
| 503 | #Check that int (df/dx)**2 + (df/dy)**2 dx dy = |
|---|
| 504 | # int 1 dx dy = area = 2 |
|---|
| 505 | assert dot(dot(f, interp.get_D()), f) == 2 |
|---|
| 506 | |
|---|
| 507 | #Define f(x,y) = y |
|---|
| 508 | f = array([0,2,0]) #Value at global vertex 1 |
|---|
| 509 | |
|---|
| 510 | #Check that int (df/dx)**2 + (df/dy)**2 dx dy = |
|---|
| 511 | # int 1 dx dy = area = 2 |
|---|
| 512 | assert dot(dot(f, interp.get_D()), f) == 2 |
|---|
| 513 | |
|---|
| 514 | #Define f(x,y) = x+y |
|---|
| 515 | f = array([0,2,2]) #Values at global vertex 1 and 2 |
|---|
| 516 | |
|---|
| 517 | #Check that int (df/dx)**2 + (df/dy)**2 dx dy = |
|---|
| 518 | # int 2 dx dy = 2*area = 4 |
|---|
| 519 | assert dot(dot(f, interp.get_D()), f) == 4 |
|---|
| 520 | |
|---|
| 521 | |
|---|
| 522 | def test_smoothing_matrix_more_triangles(self): |
|---|
| 523 | from Numeric import dot |
|---|
| 524 | |
|---|
| 525 | a = [0.0, 0.0] |
|---|
| 526 | b = [0.0, 2.0] |
|---|
| 527 | c = [2.0,0.0] |
|---|
| 528 | d = [0.0, 4.0] |
|---|
| 529 | e = [2.0, 2.0] |
|---|
| 530 | f = [4.0,0.0] |
|---|
| 531 | |
|---|
| 532 | points = [a, b, c, d, e, f] |
|---|
| 533 | #bac, bce, ecf, dbe, daf, dae |
|---|
| 534 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
|---|
| 535 | |
|---|
| 536 | interp = Fit(points, vertices) |
|---|
| 537 | |
|---|
| 538 | |
|---|
| 539 | #assert allclose(interp.get_D(), [[1, -0.5, -0.5], |
|---|
| 540 | # [-0.5, 0.5, 0], |
|---|
| 541 | # [-0.5, 0, 0.5]]) |
|---|
| 542 | |
|---|
| 543 | #Define f(x,y) = x |
|---|
| 544 | f = array([0,0,2,0,2,4]) #f evaluated at points a-f |
|---|
| 545 | |
|---|
| 546 | #Check that int (df/dx)**2 + (df/dy)**2 dx dy = |
|---|
| 547 | # int 1 dx dy = total area = 8 |
|---|
| 548 | assert dot(dot(f, interp.get_D()), f) == 8 |
|---|
| 549 | |
|---|
| 550 | #Define f(x,y) = y |
|---|
| 551 | f = array([0,2,0,4,2,0]) #f evaluated at points a-f |
|---|
| 552 | |
|---|
| 553 | #Check that int (df/dx)**2 + (df/dy)**2 dx dy = |
|---|
| 554 | # int 1 dx dy = area = 8 |
|---|
| 555 | assert dot(dot(f, interp.get_D()), f) == 8 |
|---|
| 556 | |
|---|
| 557 | #Define f(x,y) = x+y |
|---|
| 558 | f = array([0,2,2,4,4,4]) #f evaluated at points a-f |
|---|
| 559 | |
|---|
| 560 | #Check that int (df/dx)**2 + (df/dy)**2 dx dy = |
|---|
| 561 | # int 2 dx dy = 2*area = 16 |
|---|
| 562 | assert dot(dot(f, interp.get_D()), f) == 16 |
|---|
| 563 | |
|---|
| 564 | |
|---|
| 565 | |
|---|
| 566 | def test_fit_and_interpolation_with_different_origins(self): |
|---|
| 567 | """Fit a surface to one set of points. Then interpolate that surface |
|---|
| 568 | using another set of points. |
|---|
| 569 | This test tests situtaion where points and mesh belong to a different |
|---|
| 570 | coordinate system as defined by origin. |
|---|
| 571 | """ |
|---|
| 572 | |
|---|
| 573 | #Setup mesh used to represent fitted function |
|---|
| 574 | a = [0.0, 0.0] |
|---|
| 575 | b = [0.0, 2.0] |
|---|
| 576 | c = [2.0, 0.0] |
|---|
| 577 | d = [0.0, 4.0] |
|---|
| 578 | e = [2.0, 2.0] |
|---|
| 579 | f = [4.0, 0.0] |
|---|
| 580 | |
|---|
| 581 | points = [a, b, c, d, e, f] |
|---|
| 582 | #bac, bce, ecf, dbe, daf, dae |
|---|
| 583 | triangles = [[1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
|---|
| 584 | |
|---|
| 585 | #Datapoints to fit from |
|---|
| 586 | data_points1 = [[ 0.66666667, 0.66666667], |
|---|
| 587 | [ 1.33333333, 1.33333333], |
|---|
| 588 | [ 2.66666667, 0.66666667], |
|---|
| 589 | [ 0.66666667, 2.66666667], |
|---|
| 590 | [ 0.0, 1.0], |
|---|
| 591 | [ 0.0, 3.0], |
|---|
| 592 | [ 1.0, 0.0], |
|---|
| 593 | [ 1.0, 1.0], |
|---|
| 594 | [ 1.0, 2.0], |
|---|
| 595 | [ 1.0, 3.0], |
|---|
| 596 | [ 2.0, 1.0], |
|---|
| 597 | [ 3.0, 0.0], |
|---|
| 598 | [ 3.0, 1.0]] |
|---|
| 599 | |
|---|
| 600 | |
|---|
| 601 | #First check that things are OK when using same origin |
|---|
| 602 | mesh_origin = (56, 290000, 618000) #zone, easting, northing |
|---|
| 603 | data_origin = (56, 290000, 618000) #zone, easting, northing |
|---|
| 604 | |
|---|
| 605 | |
|---|
| 606 | #Fit surface to mesh |
|---|
| 607 | interp = Fit(points, triangles, |
|---|
| 608 | alpha=0.0, |
|---|
| 609 | mesh_origin = mesh_origin) |
|---|
| 610 | |
|---|
| 611 | data_geo_spatial = Geospatial_data(data_points1, |
|---|
| 612 | geo_reference = Geo_reference(56, 290000, 618000)) |
|---|
| 613 | z = linear_function(data_points1) #Example z-values |
|---|
| 614 | f = interp.fit(data_geo_spatial, z) #Fitted values at vertices |
|---|
| 615 | |
|---|
| 616 | #Shift datapoints according to new origins |
|---|
| 617 | for k in range(len(data_points1)): |
|---|
| 618 | data_points1[k][0] += mesh_origin[1] - data_origin[1] |
|---|
| 619 | data_points1[k][1] += mesh_origin[2] - data_origin[2] |
|---|
| 620 | |
|---|
| 621 | |
|---|
| 622 | |
|---|
| 623 | #Fit surface to mesh |
|---|
| 624 | interp = Fit(points, triangles, |
|---|
| 625 | alpha=0.0) #, |
|---|
| 626 | # mesh_origin = mesh_origin) |
|---|
| 627 | |
|---|
| 628 | f1 = interp.fit(data_points1,z) #Fitted values at vertices (using same z as before) |
|---|
| 629 | |
|---|
| 630 | assert allclose(f,f1), 'Fit should have been unaltered' |
|---|
| 631 | |
|---|
| 632 | |
|---|
| 633 | def test_smooth_attributes_to_mesh_function(self): |
|---|
| 634 | """ Testing 2 attributes smoothed to the mesh |
|---|
| 635 | """ |
|---|
| 636 | |
|---|
| 637 | a = [0.0, 0.0] |
|---|
| 638 | b = [0.0, 5.0] |
|---|
| 639 | c = [5.0, 0.0] |
|---|
| 640 | points = [a, b, c] |
|---|
| 641 | triangles = [ [1,0,2] ] #bac |
|---|
| 642 | |
|---|
| 643 | d1 = [1.0, 1.0] |
|---|
| 644 | d2 = [1.0, 3.0] |
|---|
| 645 | d3 = [3.0, 1.0] |
|---|
| 646 | z1 = [2, 4] |
|---|
| 647 | z2 = [4, 8] |
|---|
| 648 | z3 = [4, 8] |
|---|
| 649 | data_coords = [d1, d2, d3] |
|---|
| 650 | z = [z1, z2, z3] |
|---|
| 651 | |
|---|
| 652 | f = fit_to_mesh(points, triangles, data_coords, z, alpha=0.0) |
|---|
| 653 | answer = [[0, 0], [5., 10.], [5., 10.]] |
|---|
| 654 | |
|---|
| 655 | assert allclose(f, answer) |
|---|
| 656 | |
|---|
| 657 | def test_fit_to_mesh_w_georef(self): |
|---|
| 658 | """Simple check that georef works at the fit_to_mesh level |
|---|
| 659 | """ |
|---|
| 660 | |
|---|
| 661 | from anuga.coordinate_transforms.geo_reference import Geo_reference |
|---|
| 662 | |
|---|
| 663 | #Mesh |
|---|
| 664 | vertex_coordinates = [[0.76, 0.76], |
|---|
| 665 | [0.76, 5.76], |
|---|
| 666 | [5.76, 0.76]] |
|---|
| 667 | triangles = [[0,2,1]] |
|---|
| 668 | |
|---|
| 669 | mesh_geo = Geo_reference(56,-0.76,-0.76) |
|---|
| 670 | #print "mesh_geo.get_absolute(vertex_coordinates)", \ |
|---|
| 671 | # mesh_geo.get_absolute(vertex_coordinates) |
|---|
| 672 | |
|---|
| 673 | #Data |
|---|
| 674 | data_points = [[ 201.0, 401.0], |
|---|
| 675 | [ 201.0, 403.0], |
|---|
| 676 | [ 203.0, 401.0]] |
|---|
| 677 | |
|---|
| 678 | z = [2, 4, 4] |
|---|
| 679 | |
|---|
| 680 | data_geo = Geo_reference(56,-200,-400) |
|---|
| 681 | |
|---|
| 682 | #print "data_geo.get_absolute(data_points)", \ |
|---|
| 683 | # data_geo.get_absolute(data_points) |
|---|
| 684 | |
|---|
| 685 | #Fit |
|---|
| 686 | zz = fit_to_mesh(vertex_coordinates, triangles, data_points, z, |
|---|
| 687 | data_origin = data_geo.get_origin(), |
|---|
| 688 | mesh_origin = mesh_geo.get_origin(), |
|---|
| 689 | alpha = 0) |
|---|
| 690 | assert allclose( zz, [0,5,5] ) |
|---|
| 691 | |
|---|
| 692 | |
|---|
| 693 | def Not_yet_test_smooth_att_to_mesh_with_excess_verts(self): |
|---|
| 694 | |
|---|
| 695 | a = [0.0, 0.0] |
|---|
| 696 | b = [0.0, 5.0] |
|---|
| 697 | c = [5.0, 0.0] |
|---|
| 698 | d = [1.0, 1.0] |
|---|
| 699 | e = [18.0, 1000.0] |
|---|
| 700 | |
|---|
| 701 | points = [a, b, c, d, e] |
|---|
| 702 | triangles = [ [1,0,2] ] #bac |
|---|
| 703 | |
|---|
| 704 | d1 = [1.0, 1.0] |
|---|
| 705 | d2 = [1.0, 2.0] |
|---|
| 706 | d3 = [3.0,1.0] |
|---|
| 707 | d4 = [2.0,3.0] |
|---|
| 708 | d5 = [2.0,2.0] |
|---|
| 709 | d6 = [1.0,3.0] |
|---|
| 710 | data_coords = [d1, d2, d3, d4, d5, d6] |
|---|
| 711 | z = linear_function(data_coords) |
|---|
| 712 | #print "z",z |
|---|
| 713 | |
|---|
| 714 | interp = Fit(points, triangles, alpha=0.0) |
|---|
| 715 | |
|---|
| 716 | try: |
|---|
| 717 | f = interp.fit(data_coords, z) |
|---|
| 718 | except VertsWithNoTrianglesError: |
|---|
| 719 | pass |
|---|
| 720 | else: |
|---|
| 721 | raise 'Verts with no triangles did not raise error!' |
|---|
| 722 | |
|---|
| 723 | #f = interp.fit(data_coords, z) |
|---|
| 724 | #answer = linear_function(points) |
|---|
| 725 | |
|---|
| 726 | # Removing the bad verts that we don't care about |
|---|
| 727 | #f = f[0:3] |
|---|
| 728 | #answer = answer[0:3] |
|---|
| 729 | #assert allclose(f, answer) |
|---|
| 730 | |
|---|
| 731 | #------------------------------------------------------------- |
|---|
| 732 | if __name__ == "__main__": |
|---|
| 733 | suite = unittest.makeSuite(Test_Fit,'test') |
|---|
| 734 | #suite = unittest.makeSuite(Test_Fit,'test_smooth_att_to_mesh_with_excess_verts') |
|---|
| 735 | #suite = unittest.makeSuite(Test_Fit,'test_smooth_attributes_to_mesh_one_point') |
|---|
| 736 | runner = unittest.TextTestRunner(verbosity=1) |
|---|
| 737 | runner.run(suite) |
|---|
| 738 | |
|---|
| 739 | |
|---|
| 740 | |
|---|
| 741 | |
|---|
| 742 | |
|---|
