[2650] | 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, pi |
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| 5 | |
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| 6 | |
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| 7 | from quantity import * |
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| 8 | from config import epsilon |
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| 9 | from Numeric import allclose, array, ones, Float |
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| 10 | |
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[2924] | 11 | from fit_interpolate.fit import fit_to_mesh |
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| 12 | #from pyvolution.least_squares import fit_to_mesh |
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[2754] | 13 | from domain import Domain |
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| 14 | from geospatial_data.geospatial_data import Geospatial_data |
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| 15 | from coordinate_transforms.geo_reference import Geo_reference |
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[2650] | 16 | |
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[2924] | 17 | #Aux for fit_interpolate.fit example |
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[2650] | 18 | def linear_function(point): |
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| 19 | point = array(point) |
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| 20 | return point[:,0]+point[:,1] |
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| 21 | |
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| 22 | |
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| 23 | class Test_Quantity(unittest.TestCase): |
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| 24 | def setUp(self): |
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| 25 | from domain import Domain |
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| 26 | |
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| 27 | a = [0.0, 0.0] |
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| 28 | b = [0.0, 2.0] |
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| 29 | c = [2.0, 0.0] |
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| 30 | d = [0.0, 4.0] |
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| 31 | e = [2.0, 2.0] |
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| 32 | f = [4.0, 0.0] |
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| 33 | |
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| 34 | points = [a, b, c, d, e, f] |
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| 35 | |
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| 36 | #bac, bce, ecf, dbe |
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| 37 | elements = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4] ] |
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| 38 | |
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| 39 | self.mesh1 = Domain(points[:3], [elements[0]]) |
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| 40 | self.mesh1.check_integrity() |
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| 41 | |
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| 42 | self.mesh4 = Domain(points, elements) |
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| 43 | self.mesh4.check_integrity() |
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| 44 | |
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| 45 | def tearDown(self): |
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| 46 | pass |
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| 47 | #print " Tearing down" |
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| 48 | |
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| 49 | |
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| 50 | def test_creation(self): |
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| 51 | |
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| 52 | quantity = Quantity(self.mesh1, [[1,2,3]]) |
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| 53 | assert allclose(quantity.vertex_values, [[1.,2.,3.]]) |
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| 54 | |
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| 55 | try: |
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| 56 | quantity = Quantity() |
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| 57 | except: |
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| 58 | pass |
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| 59 | else: |
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| 60 | raise 'Should have raised empty quantity exception' |
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| 61 | |
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| 62 | |
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| 63 | try: |
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| 64 | quantity = Quantity([1,2,3]) |
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| 65 | except AssertionError: |
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| 66 | pass |
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| 67 | except: |
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| 68 | raise 'Should have raised "mising mesh object" error' |
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| 69 | |
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| 70 | |
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| 71 | def test_creation_zeros(self): |
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| 72 | |
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| 73 | quantity = Quantity(self.mesh1) |
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| 74 | assert allclose(quantity.vertex_values, [[0.,0.,0.]]) |
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| 75 | |
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| 76 | |
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| 77 | quantity = Quantity(self.mesh4) |
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| 78 | assert allclose(quantity.vertex_values, [[0.,0.,0.], [0.,0.,0.], |
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| 79 | [0.,0.,0.], [0.,0.,0.]]) |
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| 80 | |
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| 81 | |
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| 82 | def test_interpolation(self): |
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| 83 | quantity = Quantity(self.mesh1, [[1,2,3]]) |
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| 84 | assert allclose(quantity.centroid_values, [2.0]) #Centroid |
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| 85 | |
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| 86 | assert allclose(quantity.edge_values, [[2.5, 2.0, 1.5]]) |
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| 87 | |
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| 88 | |
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| 89 | def test_interpolation2(self): |
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| 90 | quantity = Conserved_quantity(self.mesh4, |
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| 91 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 92 | assert allclose(quantity.centroid_values, [2., 5., 3., 0.]) #Centroid |
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| 93 | |
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| 94 | |
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| 95 | quantity.extrapolate_second_order() |
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| 96 | |
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| 97 | #print quantity.vertex_values |
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| 98 | #assert allclose(quantity.vertex_values, [[2., 2., 2.], |
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| 99 | # [3.+2./3, 6.+2./3, 4.+2./3], |
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| 100 | # [7.5, 0.5, 1.], |
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| 101 | # [-5, -2.5, 7.5]]) |
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| 102 | |
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| 103 | assert allclose(quantity.vertex_values[1,:],[3.+2./3, 6.+2./3, 4.+2./3]) |
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| 104 | #FIXME: Work out the others |
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| 105 | |
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| 106 | |
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| 107 | #print quantity.edge_values |
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| 108 | assert allclose(quantity.edge_values, [[2.5, 2.0, 1.5], |
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| 109 | [5., 5., 5.], |
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| 110 | [4.5, 4.5, 0.], |
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| 111 | [3.0, -1.5, -1.5]]) |
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| 112 | |
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| 113 | def test_boundary_allocation(self): |
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| 114 | quantity = Conserved_quantity(self.mesh4, |
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| 115 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 116 | |
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| 117 | assert quantity.boundary_values.shape[0] == len(self.mesh4.boundary) |
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| 118 | |
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| 119 | |
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| 120 | def test_set_values(self): |
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| 121 | quantity = Quantity(self.mesh4) |
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| 122 | |
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| 123 | |
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| 124 | quantity.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]], |
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| 125 | location = 'vertices') |
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| 126 | assert allclose(quantity.vertex_values, |
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| 127 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 128 | assert allclose(quantity.centroid_values, [2., 5., 3., 0.]) #Centroid |
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| 129 | assert allclose(quantity.edge_values, [[2.5, 2.0, 1.5], |
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| 130 | [5., 5., 5.], |
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| 131 | [4.5, 4.5, 0.], |
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| 132 | [3.0, -1.5, -1.5]]) |
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| 133 | |
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| 134 | |
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| 135 | #Test default |
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| 136 | quantity.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 137 | assert allclose(quantity.vertex_values, |
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| 138 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 139 | assert allclose(quantity.centroid_values, [2., 5., 3., 0.]) #Centroid |
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| 140 | assert allclose(quantity.edge_values, [[2.5, 2.0, 1.5], |
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| 141 | [5., 5., 5.], |
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| 142 | [4.5, 4.5, 0.], |
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| 143 | [3.0, -1.5, -1.5]]) |
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| 144 | |
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| 145 | #Test centroids |
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| 146 | quantity.set_values([1,2,3,4], location = 'centroids') |
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| 147 | assert allclose(quantity.centroid_values, [1., 2., 3., 4.]) #Centroid |
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| 148 | |
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| 149 | #Test edges |
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| 150 | quantity.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]], |
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| 151 | location = 'edges') |
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| 152 | assert allclose(quantity.edge_values, |
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| 153 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 154 | |
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| 155 | #Test exceptions |
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| 156 | try: |
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| 157 | quantity.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]], |
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| 158 | location = 'bas kamel tuba') |
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| 159 | except: |
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| 160 | pass |
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| 161 | |
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| 162 | |
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| 163 | try: |
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| 164 | quantity.set_values([[1,2,3], [0,0,9]]) |
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| 165 | except AssertionError: |
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| 166 | pass |
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| 167 | except: |
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| 168 | raise 'should have raised Assertionerror' |
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| 169 | |
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| 170 | |
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| 171 | |
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| 172 | def test_set_values_const(self): |
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| 173 | quantity = Quantity(self.mesh4) |
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| 174 | |
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| 175 | quantity.set_values(1.0, location = 'vertices') |
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| 176 | assert allclose(quantity.vertex_values, |
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| 177 | [[1,1,1], [1,1,1], [1,1,1], [1, 1, 1]]) |
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| 178 | |
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| 179 | assert allclose(quantity.centroid_values, [1, 1, 1, 1]) #Centroid |
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| 180 | assert allclose(quantity.edge_values, [[1, 1, 1], |
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| 181 | [1, 1, 1], |
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| 182 | [1, 1, 1], |
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| 183 | [1, 1, 1]]) |
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| 184 | |
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| 185 | |
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| 186 | quantity.set_values(2.0, location = 'centroids') |
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| 187 | assert allclose(quantity.centroid_values, [2, 2, 2, 2]) |
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| 188 | |
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| 189 | quantity.set_values(3.0, location = 'edges') |
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| 190 | assert allclose(quantity.edge_values, [[3, 3, 3], |
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| 191 | [3, 3, 3], |
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| 192 | [3, 3, 3], |
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| 193 | [3, 3, 3]]) |
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| 194 | |
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| 195 | |
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| 196 | def test_set_values_func(self): |
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| 197 | quantity = Quantity(self.mesh4) |
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| 198 | |
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| 199 | def f(x, y): |
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| 200 | return x+y |
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| 201 | |
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| 202 | quantity.set_values(f, location = 'vertices') |
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| 203 | #print "quantity.vertex_values",quantity.vertex_values |
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| 204 | assert allclose(quantity.vertex_values, |
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| 205 | [[2,0,2], [2,2,4], [4,2,4], [4,2,4]]) |
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| 206 | assert allclose(quantity.centroid_values, |
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| 207 | [4.0/3, 8.0/3, 10.0/3, 10.0/3]) |
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| 208 | assert allclose(quantity.edge_values, |
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| 209 | [[1,2,1], [3,3,2], [3,4,3], [3,4,3]]) |
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| 210 | |
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| 211 | |
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| 212 | quantity.set_values(f, location = 'centroids') |
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| 213 | assert allclose(quantity.centroid_values, |
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| 214 | [4.0/3, 8.0/3, 10.0/3, 10.0/3]) |
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| 215 | |
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| 216 | |
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| 217 | def test_integral(self): |
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| 218 | quantity = Quantity(self.mesh4) |
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| 219 | |
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| 220 | #Try constants first |
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| 221 | const = 5 |
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| 222 | quantity.set_values(const, location = 'vertices') |
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| 223 | #print 'Q', quantity.get_integral() |
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| 224 | |
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| 225 | assert allclose(quantity.get_integral(), self.mesh4.get_area() * const) |
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| 226 | |
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| 227 | #Try with a linear function |
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| 228 | def f(x, y): |
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| 229 | return x+y |
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| 230 | |
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| 231 | quantity.set_values(f, location = 'vertices') |
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| 232 | |
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| 233 | |
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| 234 | ref_integral = (4.0/3 + 8.0/3 + 10.0/3 + 10.0/3) * 2 |
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| 235 | |
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| 236 | assert allclose (quantity.get_integral(), ref_integral) |
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| 237 | |
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| 238 | |
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| 239 | |
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| 240 | def test_set_vertex_values(self): |
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| 241 | quantity = Quantity(self.mesh4) |
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| 242 | quantity.set_vertex_values([0,1,2,3,4,5]) |
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| 243 | |
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| 244 | assert allclose(quantity.vertex_values, |
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| 245 | [[1,0,2], [1,2,4], [4,2,5], [3,1,4]]) |
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| 246 | assert allclose(quantity.centroid_values, |
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| 247 | [1., 7./3, 11./3, 8./3]) #Centroid |
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| 248 | assert allclose(quantity.edge_values, [[1., 1.5, 0.5], |
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| 249 | [3., 2.5, 1.5], |
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| 250 | [3.5, 4.5, 3.], |
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| 251 | [2.5, 3.5, 2]]) |
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| 252 | |
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| 253 | |
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| 254 | def test_set_vertex_values_subset(self): |
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| 255 | quantity = Quantity(self.mesh4) |
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| 256 | quantity.set_vertex_values([0,1,2,3,4,5]) |
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| 257 | quantity.set_vertex_values([0,20,30,50], indices = [0,2,3,5]) |
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| 258 | |
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| 259 | assert allclose(quantity.vertex_values, |
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| 260 | [[1,0,20], [1,20,4], [4,20,50], [30,1,4]]) |
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| 261 | |
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| 262 | |
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| 263 | def test_set_vertex_values_using_general_interface(self): |
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| 264 | quantity = Quantity(self.mesh4) |
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| 265 | |
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| 266 | |
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| 267 | quantity.set_values([0,1,2,3,4,5]) |
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| 268 | |
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| 269 | |
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| 270 | assert allclose(quantity.vertex_values, |
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| 271 | [[1,0,2], [1,2,4], [4,2,5], [3,1,4]]) |
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| 272 | |
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| 273 | #Centroid |
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| 274 | assert allclose(quantity.centroid_values, [1., 7./3, 11./3, 8./3]) |
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| 275 | |
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| 276 | assert allclose(quantity.edge_values, [[1., 1.5, 0.5], |
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| 277 | [3., 2.5, 1.5], |
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| 278 | [3.5, 4.5, 3.], |
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| 279 | [2.5, 3.5, 2]]) |
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| 280 | |
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| 281 | |
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| 282 | |
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| 283 | |
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| 284 | |
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[2924] | 285 | def test_set_values_using_fit(self): |
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[2650] | 286 | |
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| 287 | |
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| 288 | quantity = Quantity(self.mesh4) |
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| 289 | |
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| 290 | #Get (enough) datapoints |
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| 291 | data_points = [[ 0.66666667, 0.66666667], |
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| 292 | [ 1.33333333, 1.33333333], |
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| 293 | [ 2.66666667, 0.66666667], |
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| 294 | [ 0.66666667, 2.66666667], |
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| 295 | [ 0.0, 1.0], |
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| 296 | [ 0.0, 3.0], |
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| 297 | [ 1.0, 0.0], |
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| 298 | [ 1.0, 1.0], |
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| 299 | [ 1.0, 2.0], |
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| 300 | [ 1.0, 3.0], |
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| 301 | [ 2.0, 1.0], |
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| 302 | [ 3.0, 0.0], |
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| 303 | [ 3.0, 1.0]] |
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| 304 | |
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| 305 | z = linear_function(data_points) |
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| 306 | |
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[2924] | 307 | #Use built-in fit_interpolate.fit |
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[2650] | 308 | quantity.set_values( Geospatial_data(data_points, z), alpha = 0 ) |
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| 309 | #quantity.set_values(points = data_points, values = z, alpha = 0) |
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| 310 | |
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| 311 | |
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| 312 | answer = linear_function(quantity.domain.get_vertex_coordinates(obj = True)) |
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| 313 | #print quantity.vertex_values, answer |
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| 314 | assert allclose(quantity.vertex_values.flat, answer) |
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| 315 | |
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| 316 | |
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| 317 | #Now try by setting the same values directly |
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| 318 | vertex_attributes = fit_to_mesh(quantity.domain.coordinates, |
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| 319 | quantity.domain.triangles, |
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| 320 | data_points, |
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| 321 | z, |
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| 322 | alpha = 0, |
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| 323 | verbose=False) |
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| 324 | |
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| 325 | #print vertex_attributes |
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| 326 | quantity.set_values(vertex_attributes) |
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| 327 | assert allclose(quantity.vertex_values.flat, answer) |
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| 328 | |
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| 329 | |
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| 330 | |
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| 331 | |
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| 332 | |
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[2924] | 333 | def test_test_set_values_using_fit_w_geo(self): |
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[2650] | 334 | |
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| 335 | |
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| 336 | #Mesh |
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| 337 | vertex_coordinates = [[0.76, 0.76], |
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| 338 | [0.76, 5.76], |
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| 339 | [5.76, 0.76]] |
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| 340 | triangles = [[0,2,1]] |
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| 341 | |
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| 342 | mesh_georef = Geo_reference(56,-0.76,-0.76) |
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| 343 | mesh1 = Domain(vertex_coordinates, triangles, |
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| 344 | geo_reference = mesh_georef) |
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| 345 | mesh1.check_integrity() |
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| 346 | |
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| 347 | #Quantity |
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| 348 | quantity = Quantity(mesh1) |
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| 349 | |
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| 350 | #Data |
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| 351 | data_points = [[ 201.0, 401.0], |
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| 352 | [ 201.0, 403.0], |
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| 353 | [ 203.0, 401.0]] |
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| 354 | |
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| 355 | z = [2, 4, 4] |
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| 356 | |
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| 357 | data_georef = Geo_reference(56,-200,-400) |
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| 358 | |
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| 359 | |
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| 360 | #Reference |
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| 361 | ref = fit_to_mesh(vertex_coordinates, triangles, data_points, z, |
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| 362 | data_origin = data_georef.get_origin(), |
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| 363 | mesh_origin = mesh_georef.get_origin(), |
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| 364 | alpha = 0) |
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| 365 | |
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| 366 | assert allclose( ref, [0,5,5] ) |
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| 367 | |
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| 368 | |
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| 369 | #Test set_values |
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| 370 | |
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| 371 | quantity.set_values( Geospatial_data(data_points, z, data_georef), alpha = 0 ) |
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| 372 | |
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| 373 | #quantity.set_values(points = data_points, |
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| 374 | # values = z, |
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| 375 | # data_georef = data_georef, |
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| 376 | # alpha = 0) |
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| 377 | |
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| 378 | |
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| 379 | #quantity.set_values(points = data_points, |
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| 380 | # values = z, |
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| 381 | # data_georef = data_georef, |
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| 382 | # alpha = 0) |
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| 383 | assert allclose(quantity.vertex_values.flat, ref) |
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| 384 | |
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| 385 | |
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| 386 | |
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| 387 | #Test set_values using geospatial data object |
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| 388 | quantity.vertex_values[:] = 0.0 |
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| 389 | |
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| 390 | geo = Geospatial_data(data_points, z, data_georef) |
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| 391 | |
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| 392 | |
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| 393 | quantity.set_values(geospatial_data = geo, alpha = 0) |
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| 394 | assert allclose(quantity.vertex_values.flat, ref) |
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| 395 | |
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| 396 | |
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| 397 | |
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| 398 | def test_set_values_from_file1(self): |
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| 399 | quantity = Quantity(self.mesh4) |
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| 400 | |
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| 401 | #Get (enough) datapoints |
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| 402 | data_points = [[ 0.66666667, 0.66666667], |
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| 403 | [ 1.33333333, 1.33333333], |
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| 404 | [ 2.66666667, 0.66666667], |
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| 405 | [ 0.66666667, 2.66666667], |
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| 406 | [ 0.0, 1.0], |
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| 407 | [ 0.0, 3.0], |
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| 408 | [ 1.0, 0.0], |
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| 409 | [ 1.0, 1.0], |
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| 410 | [ 1.0, 2.0], |
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| 411 | [ 1.0, 3.0], |
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| 412 | [ 2.0, 1.0], |
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| 413 | [ 3.0, 0.0], |
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| 414 | [ 3.0, 1.0]] |
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| 415 | |
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| 416 | z = linear_function(data_points) |
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| 417 | |
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| 418 | |
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| 419 | #Create pts file |
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| 420 | from load_mesh.loadASCII import export_points_file |
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| 421 | ptsfile = 'testptsfile.pts' |
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| 422 | att = 'spam_and_eggs' |
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| 423 | points_dict = {'pointlist': data_points, |
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| 424 | 'attributelist': {att: z}} |
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| 425 | |
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| 426 | export_points_file(ptsfile, points_dict) |
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| 427 | |
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| 428 | #Check that values can be set from file |
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| 429 | quantity.set_values(filename = ptsfile, |
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| 430 | attribute_name = att, alpha = 0) |
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| 431 | answer = linear_function(quantity.domain.get_vertex_coordinates(obj = True)) |
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| 432 | |
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| 433 | #print quantity.vertex_values.flat |
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| 434 | #print answer |
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| 435 | |
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| 436 | |
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| 437 | assert allclose(quantity.vertex_values.flat, answer) |
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| 438 | |
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| 439 | |
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| 440 | #Check that values can be set from file using default attribute |
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| 441 | quantity.set_values(filename = ptsfile, alpha = 0) |
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| 442 | assert allclose(quantity.vertex_values.flat, answer) |
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| 443 | |
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| 444 | #Cleanup |
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| 445 | import os |
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| 446 | os.remove(ptsfile) |
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| 447 | |
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| 448 | |
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| 449 | def test_set_values_from_file_with_georef1(self): |
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| 450 | |
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| 451 | #Mesh in zone 56 (absolute coords) |
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| 452 | |
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| 453 | x0 = 314036.58727982 |
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| 454 | y0 = 6224951.2960092 |
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| 455 | |
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| 456 | a = [x0+0.0, y0+0.0] |
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| 457 | b = [x0+0.0, y0+2.0] |
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| 458 | c = [x0+2.0, y0+0.0] |
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| 459 | d = [x0+0.0, y0+4.0] |
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| 460 | e = [x0+2.0, y0+2.0] |
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| 461 | f = [x0+4.0, y0+0.0] |
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| 462 | |
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| 463 | points = [a, b, c, d, e, f] |
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| 464 | |
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| 465 | #bac, bce, ecf, dbe |
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| 466 | elements = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4] ] |
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| 467 | |
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| 468 | mesh4 = Domain(points, elements, |
---|
| 469 | geo_reference = Geo_reference(56, 0, 0)) |
---|
| 470 | mesh4.check_integrity() |
---|
| 471 | quantity = Quantity(mesh4) |
---|
| 472 | |
---|
| 473 | #Get (enough) datapoints (relative to georef) |
---|
| 474 | data_points = [[ 0.66666667, 0.66666667], |
---|
| 475 | [ 1.33333333, 1.33333333], |
---|
| 476 | [ 2.66666667, 0.66666667], |
---|
| 477 | [ 0.66666667, 2.66666667], |
---|
| 478 | [ 0.0, 1.0], |
---|
| 479 | [ 0.0, 3.0], |
---|
| 480 | [ 1.0, 0.0], |
---|
| 481 | [ 1.0, 1.0], |
---|
| 482 | [ 1.0, 2.0], |
---|
| 483 | [ 1.0, 3.0], |
---|
| 484 | [ 2.0, 1.0], |
---|
| 485 | [ 3.0, 0.0], |
---|
| 486 | [ 3.0, 1.0]] |
---|
| 487 | |
---|
| 488 | z = linear_function(data_points) |
---|
| 489 | |
---|
| 490 | |
---|
| 491 | #Create pts file |
---|
| 492 | from load_mesh.loadASCII import export_points_file |
---|
| 493 | |
---|
| 494 | ptsfile = 'testptsfile.pts' |
---|
| 495 | att = 'spam_and_eggs' |
---|
| 496 | |
---|
| 497 | points_dict = {'pointlist': data_points, |
---|
| 498 | 'attributelist': {att: z}, |
---|
| 499 | 'geo_reference': Geo_reference(zone = 56, |
---|
| 500 | xllcorner = x0, |
---|
| 501 | yllcorner = y0)} |
---|
| 502 | |
---|
| 503 | export_points_file(ptsfile, points_dict) |
---|
| 504 | |
---|
| 505 | |
---|
| 506 | #Check that values can be set from file |
---|
| 507 | quantity.set_values(filename = ptsfile, |
---|
| 508 | attribute_name = att, alpha = 0) |
---|
| 509 | answer = linear_function(quantity.domain.get_vertex_coordinates(obj = True) - [x0, y0]) |
---|
| 510 | |
---|
| 511 | assert allclose(quantity.vertex_values.flat, answer) |
---|
| 512 | |
---|
| 513 | |
---|
| 514 | #Check that values can be set from file using default attribute |
---|
| 515 | quantity.set_values(filename = ptsfile, alpha = 0) |
---|
| 516 | assert allclose(quantity.vertex_values.flat, answer) |
---|
| 517 | |
---|
| 518 | #Cleanup |
---|
| 519 | import os |
---|
| 520 | os.remove(ptsfile) |
---|
| 521 | |
---|
| 522 | |
---|
| 523 | def test_set_values_from_file_with_georef2(self): |
---|
| 524 | |
---|
| 525 | #Mesh in zone 56 (relative coords) |
---|
| 526 | |
---|
| 527 | x0 = 314036.58727982 |
---|
| 528 | y0 = 6224951.2960092 |
---|
| 529 | |
---|
| 530 | a = [0.0, 0.0] |
---|
| 531 | b = [0.0, 2.0] |
---|
| 532 | c = [2.0, 0.0] |
---|
| 533 | d = [0.0, 4.0] |
---|
| 534 | e = [2.0, 2.0] |
---|
| 535 | f = [4.0, 0.0] |
---|
| 536 | |
---|
| 537 | points = [a, b, c, d, e, f] |
---|
| 538 | |
---|
| 539 | #bac, bce, ecf, dbe |
---|
| 540 | elements = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4] ] |
---|
| 541 | |
---|
| 542 | mesh4 = Domain(points, elements, |
---|
| 543 | geo_reference = Geo_reference(56, x0, y0)) |
---|
| 544 | mesh4.check_integrity() |
---|
| 545 | quantity = Quantity(mesh4) |
---|
| 546 | |
---|
| 547 | #Get (enough) datapoints (relative to georef) |
---|
| 548 | data_points = [[ x0+0.66666667, y0+0.66666667], |
---|
| 549 | [ x0+1.33333333, y0+1.33333333], |
---|
| 550 | [ x0+2.66666667, y0+0.66666667], |
---|
| 551 | [ x0+0.66666667, y0+2.66666667], |
---|
| 552 | [ x0+0.0, y0+1.0], |
---|
| 553 | [ x0+0.0, y0+3.0], |
---|
| 554 | [ x0+1.0, y0+0.0], |
---|
| 555 | [ x0+1.0, y0+1.0], |
---|
| 556 | [ x0+1.0, y0+2.0], |
---|
| 557 | [ x0+1.0, y0+3.0], |
---|
| 558 | [ x0+2.0, y0+1.0], |
---|
| 559 | [ x0+3.0, y0+0.0], |
---|
| 560 | [ x0+3.0, y0+1.0]] |
---|
| 561 | |
---|
| 562 | z = linear_function(data_points) |
---|
| 563 | |
---|
| 564 | |
---|
| 565 | #Create pts file |
---|
| 566 | from load_mesh.loadASCII import export_points_file |
---|
| 567 | |
---|
| 568 | ptsfile = 'testptsfile.pts' |
---|
| 569 | att = 'spam_and_eggs' |
---|
| 570 | |
---|
| 571 | points_dict = {'pointlist': data_points, |
---|
| 572 | 'attributelist': {att: z}, |
---|
| 573 | 'geo_reference': Geo_reference(zone = 56, |
---|
| 574 | xllcorner = 0, |
---|
| 575 | yllcorner = 0)} |
---|
| 576 | |
---|
| 577 | export_points_file(ptsfile, points_dict) |
---|
| 578 | |
---|
| 579 | |
---|
| 580 | #Check that values can be set from file |
---|
| 581 | quantity.set_values(filename = ptsfile, |
---|
| 582 | attribute_name = att, alpha = 0) |
---|
| 583 | answer = linear_function(quantity.domain.get_vertex_coordinates(obj = True) + [x0, y0]) |
---|
| 584 | |
---|
| 585 | |
---|
| 586 | assert allclose(quantity.vertex_values.flat, answer) |
---|
| 587 | |
---|
| 588 | |
---|
| 589 | #Check that values can be set from file using default attribute |
---|
| 590 | quantity.set_values(filename = ptsfile, alpha = 0) |
---|
| 591 | assert allclose(quantity.vertex_values.flat, answer) |
---|
| 592 | |
---|
| 593 | #Cleanup |
---|
| 594 | import os |
---|
| 595 | os.remove(ptsfile) |
---|
| 596 | |
---|
| 597 | |
---|
| 598 | |
---|
| 599 | |
---|
| 600 | def test_set_values_from_quantity(self): |
---|
| 601 | |
---|
| 602 | quantity1 = Quantity(self.mesh4) |
---|
| 603 | quantity1.set_vertex_values([0,1,2,3,4,5]) |
---|
| 604 | |
---|
| 605 | assert allclose(quantity1.vertex_values, |
---|
| 606 | [[1,0,2], [1,2,4], [4,2,5], [3,1,4]]) |
---|
| 607 | |
---|
| 608 | |
---|
| 609 | quantity2 = Quantity(self.mesh4) |
---|
| 610 | quantity2.set_values(quantity = quantity1) |
---|
| 611 | assert allclose(quantity2.vertex_values, |
---|
| 612 | [[1,0,2], [1,2,4], [4,2,5], [3,1,4]]) |
---|
| 613 | |
---|
| 614 | quantity2.set_values(quantity = 2*quantity1) |
---|
| 615 | assert allclose(quantity2.vertex_values, |
---|
| 616 | [[2,0,4], [2,4,8], [8,4,10], [6,2,8]]) |
---|
| 617 | |
---|
| 618 | quantity2.set_values(quantity = 2*quantity1 + 3) |
---|
| 619 | assert allclose(quantity2.vertex_values, |
---|
| 620 | [[5,3,7], [5,7,11], [11,7,13], [9,5,11]]) |
---|
| 621 | |
---|
| 622 | |
---|
| 623 | #Check detection of quantity as first orgument |
---|
| 624 | quantity2.set_values(2*quantity1 + 3) |
---|
| 625 | assert allclose(quantity2.vertex_values, |
---|
| 626 | [[5,3,7], [5,7,11], [11,7,13], [9,5,11]]) |
---|
| 627 | |
---|
| 628 | |
---|
| 629 | |
---|
| 630 | |
---|
| 631 | |
---|
| 632 | def test_overloading(self): |
---|
| 633 | |
---|
| 634 | quantity1 = Quantity(self.mesh4) |
---|
| 635 | quantity1.set_vertex_values([0,1,2,3,4,5]) |
---|
| 636 | |
---|
| 637 | assert allclose(quantity1.vertex_values, |
---|
| 638 | [[1,0,2], [1,2,4], [4,2,5], [3,1,4]]) |
---|
| 639 | |
---|
| 640 | |
---|
| 641 | quantity2 = Quantity(self.mesh4) |
---|
| 642 | quantity2.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]], |
---|
| 643 | location = 'vertices') |
---|
| 644 | |
---|
| 645 | |
---|
| 646 | |
---|
| 647 | quantity3 = Quantity(self.mesh4) |
---|
| 648 | quantity3.set_values([[2,2,2], [7,8,9], [7,6,3], [3, 8, -8]], |
---|
| 649 | location = 'vertices') |
---|
| 650 | |
---|
| 651 | |
---|
| 652 | #Negation |
---|
| 653 | Q = -quantity1 |
---|
| 654 | assert allclose(Q.vertex_values, -quantity1.vertex_values) |
---|
| 655 | assert allclose(Q.centroid_values, -quantity1.centroid_values) |
---|
| 656 | assert allclose(Q.edge_values, -quantity1.edge_values) |
---|
| 657 | |
---|
| 658 | #Addition |
---|
| 659 | Q = quantity1 + 7 |
---|
| 660 | assert allclose(Q.vertex_values, quantity1.vertex_values + 7) |
---|
| 661 | assert allclose(Q.centroid_values, quantity1.centroid_values + 7) |
---|
| 662 | assert allclose(Q.edge_values, quantity1.edge_values + 7) |
---|
| 663 | |
---|
| 664 | Q = 7 + quantity1 |
---|
| 665 | assert allclose(Q.vertex_values, quantity1.vertex_values + 7) |
---|
| 666 | assert allclose(Q.centroid_values, quantity1.centroid_values + 7) |
---|
| 667 | assert allclose(Q.edge_values, quantity1.edge_values + 7) |
---|
| 668 | |
---|
| 669 | Q = quantity1 + quantity2 |
---|
| 670 | assert allclose(Q.vertex_values, |
---|
| 671 | quantity1.vertex_values + quantity2.vertex_values) |
---|
| 672 | assert allclose(Q.centroid_values, |
---|
| 673 | quantity1.centroid_values + quantity2.centroid_values) |
---|
| 674 | assert allclose(Q.edge_values, |
---|
| 675 | quantity1.edge_values + quantity2.edge_values) |
---|
| 676 | |
---|
| 677 | |
---|
| 678 | Q = quantity1 + quantity2 - 3 |
---|
| 679 | assert allclose(Q.vertex_values, |
---|
| 680 | quantity1.vertex_values + quantity2.vertex_values - 3) |
---|
| 681 | |
---|
| 682 | Q = quantity1 - quantity2 |
---|
| 683 | assert allclose(Q.vertex_values, |
---|
| 684 | quantity1.vertex_values - quantity2.vertex_values) |
---|
| 685 | |
---|
| 686 | #Scaling |
---|
| 687 | Q = quantity1*3 |
---|
| 688 | assert allclose(Q.vertex_values, quantity1.vertex_values*3) |
---|
| 689 | assert allclose(Q.centroid_values, quantity1.centroid_values*3) |
---|
| 690 | assert allclose(Q.edge_values, quantity1.edge_values*3) |
---|
| 691 | Q = 3*quantity1 |
---|
| 692 | assert allclose(Q.vertex_values, quantity1.vertex_values*3) |
---|
| 693 | |
---|
| 694 | #Multiplication |
---|
| 695 | Q = quantity1 * quantity2 |
---|
| 696 | #print Q.vertex_values |
---|
| 697 | #print Q.centroid_values |
---|
| 698 | #print quantity1.centroid_values |
---|
| 699 | #print quantity2.centroid_values |
---|
| 700 | |
---|
| 701 | assert allclose(Q.vertex_values, |
---|
| 702 | quantity1.vertex_values * quantity2.vertex_values) |
---|
| 703 | |
---|
| 704 | #Linear combinations |
---|
| 705 | Q = 4*quantity1 + 2 |
---|
| 706 | assert allclose(Q.vertex_values, |
---|
| 707 | 4*quantity1.vertex_values + 2) |
---|
| 708 | |
---|
| 709 | Q = quantity1*quantity2 + 2 |
---|
| 710 | assert allclose(Q.vertex_values, |
---|
| 711 | quantity1.vertex_values * quantity2.vertex_values + 2) |
---|
| 712 | |
---|
| 713 | Q = quantity1*quantity2 + quantity3 |
---|
| 714 | assert allclose(Q.vertex_values, |
---|
| 715 | quantity1.vertex_values * quantity2.vertex_values + |
---|
| 716 | quantity3.vertex_values) |
---|
| 717 | Q = quantity1*quantity2 + 3*quantity3 |
---|
| 718 | assert allclose(Q.vertex_values, |
---|
| 719 | quantity1.vertex_values * quantity2.vertex_values + |
---|
| 720 | 3*quantity3.vertex_values) |
---|
| 721 | Q = quantity1*quantity2 + 3*quantity3 + 5.0 |
---|
| 722 | assert allclose(Q.vertex_values, |
---|
| 723 | quantity1.vertex_values * quantity2.vertex_values + |
---|
| 724 | 3*quantity3.vertex_values + 5) |
---|
| 725 | |
---|
| 726 | Q = quantity1*quantity2 - quantity3 |
---|
| 727 | assert allclose(Q.vertex_values, |
---|
| 728 | quantity1.vertex_values * quantity2.vertex_values - |
---|
| 729 | quantity3.vertex_values) |
---|
| 730 | Q = 1.5*quantity1*quantity2 - 3*quantity3 + 5.0 |
---|
| 731 | assert allclose(Q.vertex_values, |
---|
| 732 | 1.5*quantity1.vertex_values * quantity2.vertex_values - |
---|
| 733 | 3*quantity3.vertex_values + 5) |
---|
| 734 | |
---|
| 735 | #Try combining quantities and arrays and scalars |
---|
| 736 | Q = 1.5*quantity1*quantity2.vertex_values -\ |
---|
| 737 | 3*quantity3.vertex_values + 5.0 |
---|
| 738 | assert allclose(Q.vertex_values, |
---|
| 739 | 1.5*quantity1.vertex_values * quantity2.vertex_values - |
---|
| 740 | 3*quantity3.vertex_values + 5) |
---|
| 741 | |
---|
| 742 | |
---|
| 743 | #Powers |
---|
| 744 | Q = quantity1**2 |
---|
| 745 | assert allclose(Q.vertex_values, quantity1.vertex_values**2) |
---|
| 746 | |
---|
| 747 | Q = quantity1**2 +quantity2**2 |
---|
| 748 | assert allclose(Q.vertex_values, |
---|
| 749 | quantity1.vertex_values**2 + \ |
---|
| 750 | quantity2.vertex_values**2) |
---|
| 751 | |
---|
| 752 | Q = (quantity1**2 +quantity2**2)**0.5 |
---|
| 753 | assert allclose(Q.vertex_values, |
---|
| 754 | (quantity1.vertex_values**2 + \ |
---|
| 755 | quantity2.vertex_values**2)**0.5) |
---|
| 756 | |
---|
| 757 | |
---|
| 758 | |
---|
| 759 | |
---|
| 760 | |
---|
| 761 | |
---|
| 762 | |
---|
| 763 | def test_gradient(self): |
---|
| 764 | quantity = Conserved_quantity(self.mesh4) |
---|
| 765 | |
---|
| 766 | #Set up for a gradient of (2,0) at mid triangle |
---|
| 767 | quantity.set_values([2.0, 4.0, 6.0, 2.0], |
---|
| 768 | location = 'centroids') |
---|
| 769 | |
---|
| 770 | |
---|
| 771 | #Gradients |
---|
| 772 | a, b = quantity.compute_gradients() |
---|
| 773 | |
---|
| 774 | #print self.mesh4.centroid_coordinates |
---|
| 775 | #print a, b |
---|
| 776 | |
---|
| 777 | #The central triangle (1) |
---|
| 778 | #(using standard gradient based on neigbours controid values) |
---|
| 779 | assert allclose(a[1], 2.0) |
---|
| 780 | assert allclose(b[1], 0.0) |
---|
| 781 | |
---|
| 782 | |
---|
| 783 | #Left triangle (0) using two point gradient |
---|
| 784 | #q0 = q1 + a*(x0-x1) + b*(y0-y1) <=> |
---|
| 785 | #2 = 4 + a*(-2/3) + b*(-2/3) |
---|
| 786 | assert allclose(a[0] + b[0], 3) |
---|
| 787 | #From orthogonality (a*(y0-y1) + b*(x0-x1) == 0) |
---|
| 788 | assert allclose(a[0] - b[0], 0) |
---|
| 789 | |
---|
| 790 | |
---|
| 791 | #Right triangle (2) using two point gradient |
---|
| 792 | #q2 = q1 + a*(x2-x1) + b*(y2-y1) <=> |
---|
| 793 | #6 = 4 + a*(4/3) + b*(-2/3) |
---|
| 794 | assert allclose(2*a[2] - b[2], 3) |
---|
| 795 | #From orthogonality (a*(y1-y2) + b*(x2-x1) == 0) |
---|
| 796 | assert allclose(a[2] + 2*b[2], 0) |
---|
| 797 | |
---|
| 798 | |
---|
| 799 | #Top triangle (3) using two point gradient |
---|
| 800 | #q3 = q1 + a*(x3-x1) + b*(y3-y1) <=> |
---|
| 801 | #2 = 4 + a*(-2/3) + b*(4/3) |
---|
| 802 | assert allclose(a[3] - 2*b[3], 3) |
---|
| 803 | #From orthogonality (a*(y1-y3) + b*(x3-x1) == 0) |
---|
| 804 | assert allclose(2*a[3] + b[3], 0) |
---|
| 805 | |
---|
| 806 | |
---|
| 807 | |
---|
| 808 | #print a, b |
---|
| 809 | quantity.extrapolate_second_order() |
---|
| 810 | |
---|
| 811 | #Apply q(x,y) = qc + a*(x-xc) + b*(y-yc) |
---|
| 812 | assert allclose(quantity.vertex_values[0,:], [3., 0., 3.]) |
---|
| 813 | assert allclose(quantity.vertex_values[1,:], [4./3, 16./3, 16./3]) |
---|
| 814 | |
---|
| 815 | |
---|
| 816 | #a = 1.2, b=-0.6 |
---|
| 817 | #q(4,0) = 6 + a*(4 - 8/3) + b*(-2/3) |
---|
| 818 | assert allclose(quantity.vertex_values[2,2], 8) |
---|
| 819 | |
---|
| 820 | |
---|
| 821 | def test_second_order_extrapolation2(self): |
---|
| 822 | quantity = Conserved_quantity(self.mesh4) |
---|
| 823 | |
---|
| 824 | #Set up for a gradient of (3,1), f(x) = 3x+y |
---|
| 825 | quantity.set_values([2.0+2.0/3, 4.0+4.0/3, 8.0+2.0/3, 2.0+8.0/3], |
---|
| 826 | location = 'centroids') |
---|
| 827 | |
---|
| 828 | #Gradients |
---|
| 829 | a, b = quantity.compute_gradients() |
---|
| 830 | |
---|
| 831 | #print a, b |
---|
| 832 | |
---|
| 833 | assert allclose(a[1], 3.0) |
---|
| 834 | assert allclose(b[1], 1.0) |
---|
| 835 | |
---|
| 836 | #Work out the others |
---|
| 837 | |
---|
| 838 | quantity.extrapolate_second_order() |
---|
| 839 | |
---|
| 840 | #print quantity.vertex_values |
---|
| 841 | assert allclose(quantity.vertex_values[1,0], 2.0) |
---|
| 842 | assert allclose(quantity.vertex_values[1,1], 6.0) |
---|
| 843 | assert allclose(quantity.vertex_values[1,2], 8.0) |
---|
| 844 | |
---|
| 845 | |
---|
| 846 | |
---|
| 847 | def test_first_order_extrapolator(self): |
---|
| 848 | quantity = Conserved_quantity(self.mesh4) |
---|
| 849 | |
---|
| 850 | #Test centroids |
---|
| 851 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
---|
| 852 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
---|
| 853 | |
---|
| 854 | #Extrapolate |
---|
| 855 | quantity.extrapolate_first_order() |
---|
| 856 | |
---|
| 857 | #Check vertices but not edge values |
---|
| 858 | assert allclose(quantity.vertex_values, |
---|
| 859 | [[1,1,1], [2,2,2], [3,3,3], [4, 4, 4]]) |
---|
| 860 | |
---|
| 861 | |
---|
| 862 | def test_second_order_extrapolator(self): |
---|
| 863 | quantity = Conserved_quantity(self.mesh4) |
---|
| 864 | |
---|
| 865 | #Set up for a gradient of (3,0) at mid triangle |
---|
| 866 | quantity.set_values([2.0, 4.0, 8.0, 2.0], |
---|
| 867 | location = 'centroids') |
---|
| 868 | |
---|
| 869 | |
---|
| 870 | |
---|
| 871 | quantity.extrapolate_second_order() |
---|
| 872 | quantity.limit() |
---|
| 873 | |
---|
| 874 | |
---|
| 875 | #Assert that central triangle is limited by neighbours |
---|
| 876 | assert quantity.vertex_values[1,0] >= quantity.vertex_values[0,0] |
---|
| 877 | assert quantity.vertex_values[1,0] >= quantity.vertex_values[3,1] |
---|
| 878 | |
---|
| 879 | assert quantity.vertex_values[1,1] <= quantity.vertex_values[2,1] |
---|
| 880 | assert quantity.vertex_values[1,1] >= quantity.vertex_values[0,2] |
---|
| 881 | |
---|
| 882 | assert quantity.vertex_values[1,2] <= quantity.vertex_values[2,0] |
---|
| 883 | assert quantity.vertex_values[1,2] >= quantity.vertex_values[3,1] |
---|
| 884 | |
---|
| 885 | |
---|
| 886 | #Assert that quantities are conserved |
---|
| 887 | from Numeric import sum |
---|
| 888 | for k in range(quantity.centroid_values.shape[0]): |
---|
| 889 | assert allclose (quantity.centroid_values[k], |
---|
| 890 | sum(quantity.vertex_values[k,:])/3) |
---|
| 891 | |
---|
| 892 | |
---|
| 893 | |
---|
| 894 | |
---|
| 895 | |
---|
| 896 | def test_limiter(self): |
---|
| 897 | quantity = Conserved_quantity(self.mesh4) |
---|
| 898 | |
---|
| 899 | #Create a deliberate overshoot (e.g. from gradient computation) |
---|
| 900 | quantity.set_values([[3,0,3], [2,2,6], [5,3,8], [8,3,5]]) |
---|
| 901 | |
---|
| 902 | |
---|
| 903 | #Limit |
---|
| 904 | quantity.limit() |
---|
| 905 | |
---|
| 906 | #Assert that central triangle is limited by neighbours |
---|
| 907 | assert quantity.vertex_values[1,0] >= quantity.vertex_values[0,0] |
---|
| 908 | assert quantity.vertex_values[1,0] <= quantity.vertex_values[3,1] |
---|
| 909 | |
---|
| 910 | assert quantity.vertex_values[1,1] <= quantity.vertex_values[2,1] |
---|
| 911 | assert quantity.vertex_values[1,1] >= quantity.vertex_values[0,2] |
---|
| 912 | |
---|
| 913 | assert quantity.vertex_values[1,2] <= quantity.vertex_values[2,0] |
---|
| 914 | assert quantity.vertex_values[1,2] <= quantity.vertex_values[3,1] |
---|
| 915 | |
---|
| 916 | |
---|
| 917 | |
---|
| 918 | #Assert that quantities are conserved |
---|
| 919 | from Numeric import sum |
---|
| 920 | for k in range(quantity.centroid_values.shape[0]): |
---|
| 921 | assert allclose (quantity.centroid_values[k], |
---|
| 922 | sum(quantity.vertex_values[k,:])/3) |
---|
| 923 | |
---|
| 924 | |
---|
| 925 | def test_limiter2(self): |
---|
| 926 | """Taken from test_shallow_water |
---|
| 927 | """ |
---|
| 928 | quantity = Conserved_quantity(self.mesh4) |
---|
| 929 | |
---|
| 930 | #Test centroids |
---|
| 931 | quantity.set_values([2.,4.,8.,2.], location = 'centroids') |
---|
| 932 | assert allclose(quantity.centroid_values, [2, 4, 8, 2]) #Centroid |
---|
| 933 | |
---|
| 934 | |
---|
| 935 | #Extrapolate |
---|
| 936 | quantity.extrapolate_second_order() |
---|
| 937 | |
---|
| 938 | assert allclose(quantity.vertex_values[1,:], [0.0, 6, 6]) |
---|
| 939 | |
---|
| 940 | #Limit |
---|
| 941 | quantity.limit() |
---|
| 942 | |
---|
| 943 | |
---|
| 944 | assert allclose(quantity.vertex_values[1,:], [2.2, 4.9, 4.9]) |
---|
| 945 | |
---|
| 946 | |
---|
| 947 | #Assert that quantities are conserved |
---|
| 948 | from Numeric import sum |
---|
| 949 | for k in range(quantity.centroid_values.shape[0]): |
---|
| 950 | assert allclose (quantity.centroid_values[k], |
---|
| 951 | sum(quantity.vertex_values[k,:])/3) |
---|
| 952 | |
---|
| 953 | |
---|
| 954 | |
---|
| 955 | |
---|
| 956 | |
---|
| 957 | def test_distribute_first_order(self): |
---|
| 958 | quantity = Conserved_quantity(self.mesh4) |
---|
| 959 | |
---|
| 960 | #Test centroids |
---|
| 961 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
---|
| 962 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
---|
| 963 | |
---|
| 964 | |
---|
| 965 | #Extrapolate |
---|
| 966 | quantity.extrapolate_first_order() |
---|
| 967 | |
---|
| 968 | #Interpolate |
---|
| 969 | quantity.interpolate_from_vertices_to_edges() |
---|
| 970 | |
---|
| 971 | assert allclose(quantity.vertex_values, |
---|
| 972 | [[1,1,1], [2,2,2], [3,3,3], [4, 4, 4]]) |
---|
| 973 | assert allclose(quantity.edge_values, [[1,1,1], [2,2,2], |
---|
| 974 | [3,3,3], [4, 4, 4]]) |
---|
| 975 | |
---|
| 976 | |
---|
| 977 | def test_distribute_second_order(self): |
---|
| 978 | quantity = Conserved_quantity(self.mesh4) |
---|
| 979 | |
---|
| 980 | #Test centroids |
---|
| 981 | quantity.set_values([2.,4.,8.,2.], location = 'centroids') |
---|
| 982 | assert allclose(quantity.centroid_values, [2, 4, 8, 2]) #Centroid |
---|
| 983 | |
---|
| 984 | |
---|
| 985 | #Extrapolate |
---|
| 986 | quantity.extrapolate_second_order() |
---|
| 987 | |
---|
| 988 | assert allclose(quantity.vertex_values[1,:], [0.0, 6, 6]) |
---|
| 989 | |
---|
| 990 | |
---|
| 991 | def test_update_explicit(self): |
---|
| 992 | quantity = Conserved_quantity(self.mesh4) |
---|
| 993 | |
---|
| 994 | #Test centroids |
---|
| 995 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
---|
| 996 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
---|
| 997 | |
---|
| 998 | #Set explicit_update |
---|
| 999 | quantity.explicit_update = array( [1.,1.,1.,1.] ) |
---|
| 1000 | |
---|
| 1001 | #Update with given timestep |
---|
| 1002 | quantity.update(0.1) |
---|
| 1003 | |
---|
| 1004 | x = array([1, 2, 3, 4]) + array( [.1,.1,.1,.1] ) |
---|
| 1005 | assert allclose( quantity.centroid_values, x) |
---|
| 1006 | |
---|
| 1007 | def test_update_semi_implicit(self): |
---|
| 1008 | quantity = Conserved_quantity(self.mesh4) |
---|
| 1009 | |
---|
| 1010 | #Test centroids |
---|
| 1011 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
---|
| 1012 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
---|
| 1013 | |
---|
| 1014 | #Set semi implicit update |
---|
| 1015 | quantity.semi_implicit_update = array([1.,1.,1.,1.]) |
---|
| 1016 | |
---|
| 1017 | #Update with given timestep |
---|
| 1018 | timestep = 0.1 |
---|
| 1019 | quantity.update(timestep) |
---|
| 1020 | |
---|
| 1021 | sem = array([1.,1.,1.,1.])/array([1, 2, 3, 4]) |
---|
| 1022 | denom = ones(4, Float)-timestep*sem |
---|
| 1023 | |
---|
| 1024 | x = array([1, 2, 3, 4])/denom |
---|
| 1025 | assert allclose( quantity.centroid_values, x) |
---|
| 1026 | |
---|
| 1027 | |
---|
| 1028 | def test_both_updates(self): |
---|
| 1029 | quantity = Conserved_quantity(self.mesh4) |
---|
| 1030 | |
---|
| 1031 | #Test centroids |
---|
| 1032 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
---|
| 1033 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
---|
| 1034 | |
---|
| 1035 | #Set explicit_update |
---|
| 1036 | quantity.explicit_update = array( [4.,3.,2.,1.] ) |
---|
| 1037 | |
---|
| 1038 | #Set semi implicit update |
---|
| 1039 | quantity.semi_implicit_update = array( [1.,1.,1.,1.] ) |
---|
| 1040 | |
---|
| 1041 | #Update with given timestep |
---|
| 1042 | timestep = 0.1 |
---|
| 1043 | quantity.update(0.1) |
---|
| 1044 | |
---|
| 1045 | sem = array([1.,1.,1.,1.])/array([1, 2, 3, 4]) |
---|
| 1046 | denom = ones(4, Float)-timestep*sem |
---|
| 1047 | |
---|
| 1048 | x = array([1., 2., 3., 4.]) |
---|
| 1049 | x /= denom |
---|
| 1050 | x += timestep*array( [4.0, 3.0, 2.0, 1.0] ) |
---|
| 1051 | |
---|
| 1052 | assert allclose( quantity.centroid_values, x) |
---|
| 1053 | |
---|
| 1054 | |
---|
| 1055 | |
---|
| 1056 | |
---|
| 1057 | #Test smoothing |
---|
| 1058 | def test_smoothing(self): |
---|
| 1059 | |
---|
| 1060 | from mesh_factory import rectangular |
---|
| 1061 | from shallow_water import Domain, Transmissive_boundary |
---|
| 1062 | from Numeric import zeros, Float |
---|
| 1063 | from utilities.numerical_tools import mean |
---|
| 1064 | |
---|
| 1065 | #Create basic mesh |
---|
| 1066 | points, vertices, boundary = rectangular(2, 2) |
---|
| 1067 | |
---|
| 1068 | #Create shallow water domain |
---|
| 1069 | domain = Domain(points, vertices, boundary) |
---|
| 1070 | domain.default_order=2 |
---|
| 1071 | domain.reduction = mean |
---|
| 1072 | |
---|
| 1073 | |
---|
| 1074 | #Set some field values |
---|
| 1075 | domain.set_quantity('elevation', lambda x,y: x) |
---|
| 1076 | domain.set_quantity('friction', 0.03) |
---|
| 1077 | |
---|
| 1078 | |
---|
| 1079 | ###################### |
---|
| 1080 | # Boundary conditions |
---|
| 1081 | B = Transmissive_boundary(domain) |
---|
| 1082 | domain.set_boundary( {'left': B, 'right': B, 'top': B, 'bottom': B}) |
---|
| 1083 | |
---|
| 1084 | |
---|
| 1085 | ###################### |
---|
| 1086 | #Initial condition - with jumps |
---|
| 1087 | |
---|
| 1088 | bed = domain.quantities['elevation'].vertex_values |
---|
| 1089 | stage = zeros(bed.shape, Float) |
---|
| 1090 | |
---|
| 1091 | h = 0.03 |
---|
| 1092 | for i in range(stage.shape[0]): |
---|
| 1093 | if i % 2 == 0: |
---|
| 1094 | stage[i,:] = bed[i,:] + h |
---|
| 1095 | else: |
---|
| 1096 | stage[i,:] = bed[i,:] |
---|
| 1097 | |
---|
| 1098 | domain.set_quantity('stage', stage) |
---|
| 1099 | |
---|
| 1100 | stage = domain.quantities['stage'] |
---|
| 1101 | |
---|
| 1102 | #Get smoothed stage |
---|
| 1103 | A, V = stage.get_vertex_values(xy=False, smooth=True) |
---|
| 1104 | Q = stage.vertex_values |
---|
| 1105 | |
---|
| 1106 | |
---|
| 1107 | assert A.shape[0] == 9 |
---|
| 1108 | assert V.shape[0] == 8 |
---|
| 1109 | assert V.shape[1] == 3 |
---|
| 1110 | |
---|
| 1111 | #First four points |
---|
| 1112 | assert allclose(A[0], (Q[0,2] + Q[1,1])/2) |
---|
| 1113 | assert allclose(A[1], (Q[1,0] + Q[3,1] + Q[2,2])/3) |
---|
| 1114 | assert allclose(A[2], Q[3,0]) |
---|
| 1115 | assert allclose(A[3], (Q[0,0] + Q[5,1] + Q[4,2])/3) |
---|
| 1116 | |
---|
| 1117 | #Center point |
---|
| 1118 | assert allclose(A[4], (Q[0,1] + Q[1,2] + Q[2,0] +\ |
---|
| 1119 | Q[5,0] + Q[6,2] + Q[7,1])/6) |
---|
| 1120 | |
---|
| 1121 | |
---|
| 1122 | #Check V |
---|
| 1123 | assert allclose(V[0,:], [3,4,0]) |
---|
| 1124 | assert allclose(V[1,:], [1,0,4]) |
---|
| 1125 | assert allclose(V[2,:], [4,5,1]) |
---|
| 1126 | assert allclose(V[3,:], [2,1,5]) |
---|
| 1127 | assert allclose(V[4,:], [6,7,3]) |
---|
| 1128 | assert allclose(V[5,:], [4,3,7]) |
---|
| 1129 | assert allclose(V[6,:], [7,8,4]) |
---|
| 1130 | assert allclose(V[7,:], [5,4,8]) |
---|
| 1131 | |
---|
| 1132 | #Get smoothed stage with XY |
---|
| 1133 | X, Y, A1, V1 = stage.get_vertex_values(xy=True, smooth=True) |
---|
| 1134 | |
---|
| 1135 | assert allclose(A, A1) |
---|
| 1136 | assert allclose(V, V1) |
---|
| 1137 | |
---|
| 1138 | #Check XY |
---|
| 1139 | assert allclose(X[4], 0.5) |
---|
| 1140 | assert allclose(Y[4], 0.5) |
---|
| 1141 | |
---|
| 1142 | assert allclose(X[7], 1.0) |
---|
| 1143 | assert allclose(Y[7], 0.5) |
---|
| 1144 | |
---|
| 1145 | |
---|
| 1146 | |
---|
| 1147 | |
---|
| 1148 | def test_vertex_values_no_smoothing(self): |
---|
| 1149 | |
---|
| 1150 | from mesh_factory import rectangular |
---|
| 1151 | from shallow_water import Domain, Transmissive_boundary |
---|
| 1152 | from Numeric import zeros, Float |
---|
| 1153 | from utilities.numerical_tools import mean |
---|
| 1154 | |
---|
| 1155 | |
---|
| 1156 | #Create basic mesh |
---|
| 1157 | points, vertices, boundary = rectangular(2, 2) |
---|
| 1158 | |
---|
| 1159 | #Create shallow water domain |
---|
| 1160 | domain = Domain(points, vertices, boundary) |
---|
| 1161 | domain.default_order=2 |
---|
| 1162 | domain.reduction = mean |
---|
| 1163 | |
---|
| 1164 | |
---|
| 1165 | #Set some field values |
---|
| 1166 | domain.set_quantity('elevation', lambda x,y: x) |
---|
| 1167 | domain.set_quantity('friction', 0.03) |
---|
| 1168 | |
---|
| 1169 | |
---|
| 1170 | ###################### |
---|
| 1171 | #Initial condition - with jumps |
---|
| 1172 | |
---|
| 1173 | bed = domain.quantities['elevation'].vertex_values |
---|
| 1174 | stage = zeros(bed.shape, Float) |
---|
| 1175 | |
---|
| 1176 | h = 0.03 |
---|
| 1177 | for i in range(stage.shape[0]): |
---|
| 1178 | if i % 2 == 0: |
---|
| 1179 | stage[i,:] = bed[i,:] + h |
---|
| 1180 | else: |
---|
| 1181 | stage[i,:] = bed[i,:] |
---|
| 1182 | |
---|
| 1183 | domain.set_quantity('stage', stage) |
---|
| 1184 | |
---|
| 1185 | #Get stage |
---|
| 1186 | stage = domain.quantities['stage'] |
---|
| 1187 | A, V = stage.get_vertex_values(xy=False, smooth=False) |
---|
| 1188 | Q = stage.vertex_values.flat |
---|
| 1189 | |
---|
| 1190 | for k in range(8): |
---|
| 1191 | assert allclose(A[k], Q[k]) |
---|
| 1192 | |
---|
| 1193 | |
---|
| 1194 | for k in range(8): |
---|
| 1195 | assert V[k, 0] == 3*k |
---|
| 1196 | assert V[k, 1] == 3*k+1 |
---|
| 1197 | assert V[k, 2] == 3*k+2 |
---|
| 1198 | |
---|
| 1199 | |
---|
| 1200 | |
---|
| 1201 | X, Y, A1, V1 = stage.get_vertex_values(xy=True, smooth=False) |
---|
| 1202 | |
---|
| 1203 | |
---|
| 1204 | assert allclose(A, A1) |
---|
| 1205 | assert allclose(V, V1) |
---|
| 1206 | |
---|
| 1207 | #Check XY |
---|
| 1208 | assert allclose(X[1], 0.5) |
---|
| 1209 | assert allclose(Y[1], 0.5) |
---|
| 1210 | assert allclose(X[4], 0.0) |
---|
| 1211 | assert allclose(Y[4], 0.0) |
---|
| 1212 | assert allclose(X[12], 1.0) |
---|
| 1213 | assert allclose(Y[12], 0.0) |
---|
| 1214 | |
---|
| 1215 | |
---|
| 1216 | |
---|
| 1217 | def set_array_values_by_index(self): |
---|
| 1218 | |
---|
| 1219 | from mesh_factory import rectangular |
---|
| 1220 | from shallow_water import Domain |
---|
| 1221 | from Numeric import zeros, Float |
---|
| 1222 | |
---|
| 1223 | #Create basic mesh |
---|
| 1224 | points, vertices, boundary = rectangular(1, 1) |
---|
| 1225 | |
---|
| 1226 | #Create shallow water domain |
---|
| 1227 | domain = Domain(points, vertices, boundary) |
---|
| 1228 | #print "domain.number_of_elements ",domain.number_of_elements |
---|
| 1229 | quantity = Quantity(domain,[[1,1,1],[2,2,2]]) |
---|
| 1230 | value = [7] |
---|
| 1231 | indices = [1] |
---|
| 1232 | quantity.set_array_values_by_index(value, |
---|
| 1233 | location = 'centroids', |
---|
| 1234 | indices = indices) |
---|
| 1235 | #print "quantity.centroid_values",quantity.centroid_values |
---|
| 1236 | |
---|
| 1237 | assert allclose(quantity.centroid_values, [1,7]) |
---|
| 1238 | |
---|
| 1239 | quantity.set_array_values([15,20,25], indices = indices) |
---|
| 1240 | assert allclose(quantity.centroid_values, [1,20]) |
---|
| 1241 | |
---|
| 1242 | quantity.set_array_values([15,20,25], indices = indices) |
---|
| 1243 | assert allclose(quantity.centroid_values, [1,20]) |
---|
| 1244 | |
---|
| 1245 | def test_setting_some_vertex_values(self): |
---|
| 1246 | """ |
---|
| 1247 | set values based on triangle lists. |
---|
| 1248 | """ |
---|
| 1249 | from mesh_factory import rectangular |
---|
| 1250 | from shallow_water import Domain |
---|
| 1251 | from Numeric import zeros, Float |
---|
| 1252 | |
---|
| 1253 | #Create basic mesh |
---|
| 1254 | points, vertices, boundary = rectangular(1, 3) |
---|
| 1255 | #print "vertices",vertices |
---|
| 1256 | #Create shallow water domain |
---|
| 1257 | domain = Domain(points, vertices, boundary) |
---|
| 1258 | #print "domain.number_of_elements ",domain.number_of_elements |
---|
| 1259 | quantity = Quantity(domain,[[1,1,1],[2,2,2],[3,3,3], |
---|
| 1260 | [4,4,4],[5,5,5],[6,6,6]]) |
---|
| 1261 | value = [7] |
---|
| 1262 | indices = [1] |
---|
| 1263 | quantity.set_values(value, |
---|
| 1264 | location = 'centroids', |
---|
| 1265 | indices = indices) |
---|
| 1266 | #print "quantity.centroid_values",quantity.centroid_values |
---|
| 1267 | assert allclose(quantity.centroid_values, [1,7,3,4,5,6]) |
---|
| 1268 | |
---|
| 1269 | value = [[15,20,25]] |
---|
| 1270 | quantity.set_values(value, indices = indices) |
---|
| 1271 | #print "1 quantity.vertex_values",quantity.vertex_values |
---|
| 1272 | assert allclose(quantity.vertex_values[1], value[0]) |
---|
| 1273 | |
---|
| 1274 | |
---|
| 1275 | #print "quantity",quantity.vertex_values |
---|
| 1276 | values = [10,100,50] |
---|
| 1277 | quantity.set_values(values, indices = [0,1,5], location = 'centroids') |
---|
| 1278 | #print "2 quantity.vertex_values",quantity.vertex_values |
---|
| 1279 | assert allclose(quantity.vertex_values[0], [10,10,10]) |
---|
| 1280 | assert allclose(quantity.vertex_values[5], [50,50,50]) |
---|
| 1281 | #quantity.interpolate() |
---|
| 1282 | #print "quantity.centroid_values",quantity.centroid_values |
---|
| 1283 | assert allclose(quantity.centroid_values, [10,100,3,4,5,50]) |
---|
| 1284 | |
---|
| 1285 | |
---|
| 1286 | quantity = Quantity(domain,[[1,1,1],[2,2,2],[3,3,3], |
---|
| 1287 | [4,4,4],[5,5,5],[6,6,6]]) |
---|
| 1288 | values = [10,100,50] |
---|
| 1289 | #this will be per unique vertex, indexing the vertices |
---|
| 1290 | #print "quantity.vertex_values",quantity.vertex_values |
---|
| 1291 | quantity.set_values(values, indices = [0,1,5]) |
---|
| 1292 | #print "quantity.vertex_values",quantity.vertex_values |
---|
| 1293 | assert allclose(quantity.vertex_values[0], [1,50,10]) |
---|
| 1294 | assert allclose(quantity.vertex_values[5], [6,6,6]) |
---|
| 1295 | assert allclose(quantity.vertex_values[1], [100,10,50]) |
---|
| 1296 | |
---|
| 1297 | quantity = Quantity(domain,[[1,1,1],[2,2,2],[3,3,3], |
---|
| 1298 | [4,4,4],[5,5,5],[6,6,6]]) |
---|
| 1299 | values = [[31,30,29],[400,400,400],[1000,999,998]] |
---|
| 1300 | quantity.set_values(values, indices = [3,3,5]) |
---|
| 1301 | quantity.interpolate() |
---|
| 1302 | assert allclose(quantity.centroid_values, [1,2,3,400,5,999]) |
---|
| 1303 | |
---|
| 1304 | values = [[1,1,1],[2,2,2],[3,3,3], |
---|
| 1305 | [4,4,4],[5,5,5],[6,6,6]] |
---|
| 1306 | quantity.set_values(values) |
---|
| 1307 | |
---|
| 1308 | # testing the standard set values by vertex |
---|
| 1309 | # indexed by vertex_id in general_mesh.coordinates |
---|
| 1310 | values = [0,1,2,3,4,5,6,7] |
---|
| 1311 | |
---|
| 1312 | quantity.set_values(values) |
---|
| 1313 | #print "1 quantity.vertex_values",quantity.vertex_values |
---|
| 1314 | assert allclose(quantity.vertex_values,[[ 4., 5., 0.], |
---|
| 1315 | [ 1., 0., 5.], |
---|
| 1316 | [ 5., 6., 1.], |
---|
| 1317 | [ 2., 1., 6.], |
---|
| 1318 | [ 6., 7., 2.], |
---|
| 1319 | [ 3., 2., 7.]]) |
---|
| 1320 | |
---|
| 1321 | def test_setting_unique_vertex_values(self): |
---|
| 1322 | """ |
---|
| 1323 | set values based on unique_vertex lists. |
---|
| 1324 | """ |
---|
| 1325 | from mesh_factory import rectangular |
---|
| 1326 | from shallow_water import Domain |
---|
| 1327 | from Numeric import zeros, Float |
---|
| 1328 | |
---|
| 1329 | #Create basic mesh |
---|
| 1330 | points, vertices, boundary = rectangular(1, 3) |
---|
| 1331 | #print "vertices",vertices |
---|
| 1332 | #Create shallow water domain |
---|
| 1333 | domain = Domain(points, vertices, boundary) |
---|
| 1334 | #print "domain.number_of_elements ",domain.number_of_elements |
---|
| 1335 | quantity = Quantity(domain,[[0,0,0],[1,1,1],[2,2,2],[3,3,3], |
---|
| 1336 | [4,4,4],[5,5,5]]) |
---|
| 1337 | value = 7 |
---|
| 1338 | indices = [1,5] |
---|
| 1339 | quantity.set_values(value, |
---|
| 1340 | location = 'unique vertices', |
---|
| 1341 | indices = indices) |
---|
| 1342 | #print "quantity.centroid_values",quantity.centroid_values |
---|
| 1343 | assert allclose(quantity.vertex_values[0], [0,7,0]) |
---|
| 1344 | assert allclose(quantity.vertex_values[1], [7,1,7]) |
---|
| 1345 | assert allclose(quantity.vertex_values[2], [7,2,7]) |
---|
| 1346 | |
---|
| 1347 | |
---|
| 1348 | def test_get_values(self): |
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| 1349 | """ |
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| 1350 | get values based on triangle lists. |
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| 1351 | """ |
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| 1352 | from mesh_factory import rectangular |
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| 1353 | from shallow_water import Domain |
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| 1354 | from Numeric import zeros, Float |
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| 1355 | |
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| 1356 | #Create basic mesh |
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| 1357 | points, vertices, boundary = rectangular(1, 3) |
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| 1358 | |
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| 1359 | #print "points",points |
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| 1360 | #print "vertices",vertices |
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| 1361 | #print "boundary",boundary |
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| 1362 | |
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| 1363 | #Create shallow water domain |
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| 1364 | domain = Domain(points, vertices, boundary) |
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| 1365 | #print "domain.number_of_elements ",domain.number_of_elements |
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| 1366 | quantity = Quantity(domain,[[0,0,0],[1,1,1],[2,2,2],[3,3,3], |
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| 1367 | [4,4,4],[5,5,5]]) |
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| 1368 | |
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| 1369 | #print "quantity.get_values(location = 'unique vertices')", \ |
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| 1370 | # quantity.get_values(location = 'unique vertices') |
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| 1371 | |
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| 1372 | #print "quantity.get_values(location = 'unique vertices')", \ |
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| 1373 | # quantity.get_values(indices=[0,1,2,3,4,5,6,7], \ |
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| 1374 | # location = 'unique vertices') |
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| 1375 | |
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| 1376 | answer = [0.5,2,4,5,0,1,3,4.5] |
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| 1377 | assert allclose(answer, |
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| 1378 | quantity.get_values(location = 'unique vertices')) |
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| 1379 | |
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| 1380 | indices = [0,5,3] |
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| 1381 | answer = [0.5,1,5] |
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| 1382 | assert allclose(answer, |
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| 1383 | quantity.get_values(indices=indices, \ |
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| 1384 | location = 'unique vertices')) |
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| 1385 | #print "quantity.centroid_values",quantity.centroid_values |
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| 1386 | #print "quantity.get_values(location = 'centroids') ",\ |
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| 1387 | # quantity.get_values(location = 'centroids') |
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| 1388 | |
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| 1389 | def test_getting_some_vertex_values(self): |
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| 1390 | """ |
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| 1391 | get values based on triangle lists. |
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| 1392 | """ |
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| 1393 | from mesh_factory import rectangular |
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| 1394 | from shallow_water import Domain |
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| 1395 | from Numeric import zeros, Float |
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| 1396 | |
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| 1397 | #Create basic mesh |
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| 1398 | points, vertices, boundary = rectangular(1, 3) |
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| 1399 | |
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| 1400 | #print "points",points |
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| 1401 | #print "vertices",vertices |
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| 1402 | #print "boundary",boundary |
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| 1403 | |
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| 1404 | #Create shallow water domain |
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| 1405 | domain = Domain(points, vertices, boundary) |
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| 1406 | #print "domain.number_of_elements ",domain.number_of_elements |
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| 1407 | quantity = Quantity(domain,[[1,1,1],[2,2,2],[3,3,3], |
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| 1408 | [4,4,4],[5,5,5],[6,6,6]]) |
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| 1409 | value = [7] |
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| 1410 | indices = [1] |
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| 1411 | quantity.set_values(value, |
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| 1412 | location = 'centroids', |
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| 1413 | indices = indices) |
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| 1414 | #print "quantity.centroid_values",quantity.centroid_values |
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| 1415 | #print "quantity.get_values(location = 'centroids') ",\ |
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| 1416 | # quantity.get_values(location = 'centroids') |
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| 1417 | assert allclose(quantity.centroid_values, |
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| 1418 | quantity.get_values(location = 'centroids')) |
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| 1419 | |
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| 1420 | |
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| 1421 | value = [[15,20,25]] |
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| 1422 | quantity.set_values(value, indices = indices) |
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| 1423 | #print "1 quantity.vertex_values",quantity.vertex_values |
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| 1424 | assert allclose(quantity.vertex_values, quantity.get_values()) |
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| 1425 | |
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| 1426 | assert allclose(quantity.edge_values, |
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| 1427 | quantity.get_values(location = 'edges')) |
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| 1428 | |
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| 1429 | # get a subset of elements |
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| 1430 | subset = quantity.get_values(location='centroids', indices=[0,5]) |
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| 1431 | answer = [quantity.centroid_values[0],quantity.centroid_values[5]] |
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| 1432 | assert allclose(subset, answer) |
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| 1433 | |
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| 1434 | |
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| 1435 | subset = quantity.get_values(location='edges', indices=[0,5]) |
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| 1436 | answer = [quantity.edge_values[0],quantity.edge_values[5]] |
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| 1437 | #print "subset",subset |
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| 1438 | #print "answer",answer |
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| 1439 | assert allclose(subset, answer) |
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| 1440 | |
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| 1441 | subset = quantity.get_values( indices=[1,5]) |
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| 1442 | answer = [quantity.vertex_values[1],quantity.vertex_values[5]] |
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| 1443 | #print "subset",subset |
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| 1444 | #print "answer",answer |
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| 1445 | assert allclose(subset, answer) |
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| 1446 | |
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| 1447 | |
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| 1448 | |
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| 1449 | |
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| 1450 | #------------------------------------------------------------- |
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| 1451 | if __name__ == "__main__": |
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| 1452 | suite = unittest.makeSuite(Test_Quantity, 'test') |
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| 1453 | #print "restricted test" |
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| 1454 | #suite = unittest.makeSuite(Test_Quantity,'test_set_values_func') |
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| 1455 | runner = unittest.TextTestRunner() |
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| 1456 | runner.run(suite) |
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