| 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 |
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| 10 | |
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| 11 | |
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| 12 | class TestCase(unittest.TestCase): |
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| 13 | def setUp(self): |
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| 14 | from domain import Domain |
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| 15 | |
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| 16 | a = [0.0, 0.0] |
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| 17 | b = [0.0, 2.0] |
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| 18 | c = [2.0,0.0] |
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| 19 | d = [0.0, 4.0] |
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| 20 | e = [2.0, 2.0] |
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| 21 | f = [4.0,0.0] |
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| 22 | |
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| 23 | points = [a, b, c, d, e, f] |
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| 24 | |
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| 25 | #bac, bce, ecf, dbe |
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| 26 | elements = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4] ] |
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| 27 | |
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| 28 | self.mesh1 = Domain(points, [elements[0]]) |
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| 29 | self.mesh1.check_integrity() |
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| 30 | |
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| 31 | self.mesh4 = Domain(points, elements) |
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| 32 | self.mesh4.check_integrity() |
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| 33 | |
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| 34 | def tearDown(self): |
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| 35 | pass |
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| 36 | #print " Tearing down" |
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| 37 | |
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| 38 | |
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| 39 | def test_creation(self): |
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| 40 | |
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| 41 | quantity = Quantity(self.mesh1, [[1,2,3]]) |
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| 42 | assert allclose(quantity.vertex_values, [[1.,2.,3.]]) |
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| 43 | |
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| 44 | try: |
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| 45 | quantity = Quantity() |
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| 46 | except: |
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| 47 | pass |
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| 48 | else: |
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| 49 | raise 'Should have raised empty quantity exception' |
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| 50 | |
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| 51 | |
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| 52 | try: |
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| 53 | quantity = Quantity([1,2,3]) |
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| 54 | except AssertionError: |
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| 55 | pass |
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| 56 | except: |
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| 57 | raise 'Should have raised "mising mesh object" error' |
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| 58 | |
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| 59 | |
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| 60 | def test_creation_zeros(self): |
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| 61 | |
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| 62 | quantity = Quantity(self.mesh1) |
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| 63 | assert allclose(quantity.vertex_values, [[0.,0.,0.]]) |
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| 64 | |
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| 65 | |
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| 66 | quantity = Quantity(self.mesh4) |
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| 67 | assert allclose(quantity.vertex_values, [[0.,0.,0.], [0.,0.,0.], |
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| 68 | [0.,0.,0.], [0.,0.,0.]]) |
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| 69 | |
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| 70 | |
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| 71 | def test_interpolation(self): |
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| 72 | quantity = Quantity(self.mesh1, [[1,2,3]]) |
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| 73 | assert allclose(quantity.centroid_values, [2.0]) #Centroid |
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| 74 | |
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| 75 | assert allclose(quantity.edge_values, [[2.5, 2.0, 1.5]]) |
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| 76 | |
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| 77 | |
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| 78 | def test_interpolation2(self): |
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| 79 | quantity = Quantity(self.mesh4, |
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| 80 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 81 | assert allclose(quantity.centroid_values, [2., 5., 3., 0.]) #Centroid |
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| 82 | |
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| 83 | assert allclose(quantity.edge_values, [[2.5, 2.0, 1.5], |
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| 84 | [5., 5., 5.], |
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| 85 | [4.5, 4.5, 0.], |
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| 86 | [3.0, -1.5, -1.5]]) |
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| 87 | |
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| 88 | def test_boundary_allocation(self): |
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| 89 | quantity = Conserved_quantity(self.mesh4, |
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| 90 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 91 | |
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| 92 | assert quantity.boundary_values.shape[0] == len(self.mesh4.boundary) |
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| 93 | |
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| 94 | |
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| 95 | def test_set_values(self): |
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| 96 | quantity = Quantity(self.mesh4) |
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| 97 | |
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| 98 | |
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| 99 | quantity.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]], |
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| 100 | location = 'vertices') |
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| 101 | assert allclose(quantity.vertex_values, |
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| 102 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 103 | assert allclose(quantity.centroid_values, [2., 5., 3., 0.]) #Centroid |
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| 104 | assert allclose(quantity.edge_values, [[2.5, 2.0, 1.5], |
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| 105 | [5., 5., 5.], |
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| 106 | [4.5, 4.5, 0.], |
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| 107 | [3.0, -1.5, -1.5]]) |
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| 108 | |
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| 109 | |
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| 110 | #Test default |
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| 111 | quantity.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 112 | assert allclose(quantity.vertex_values, |
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| 113 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 114 | assert allclose(quantity.centroid_values, [2., 5., 3., 0.]) #Centroid |
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| 115 | assert allclose(quantity.edge_values, [[2.5, 2.0, 1.5], |
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| 116 | [5., 5., 5.], |
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| 117 | [4.5, 4.5, 0.], |
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| 118 | [3.0, -1.5, -1.5]]) |
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| 119 | |
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| 120 | #Test centroids |
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| 121 | quantity.set_values([1,2,3,4], location = 'centroids') |
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| 122 | assert allclose(quantity.centroid_values, [1., 2., 3., 4.]) #Centroid |
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| 123 | |
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| 124 | #Test edges |
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| 125 | quantity.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]], |
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| 126 | location = 'edges') |
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| 127 | assert allclose(quantity.edge_values, |
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| 128 | [[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]]) |
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| 129 | |
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| 130 | #Test exceptions |
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| 131 | try: |
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| 132 | quantity.set_values([[1,2,3], [5,5,5], [0,0,9], [-6, 3, 3]], |
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| 133 | location = 'bas kamel tuba') |
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| 134 | except: |
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| 135 | pass |
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| 136 | |
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| 137 | |
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| 138 | try: |
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| 139 | quantity.set_values([[1,2,3], [0,0,9]]) |
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| 140 | except AssertionError: |
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| 141 | pass |
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| 142 | except: |
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| 143 | raise 'should have raised Assertionerror' |
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| 144 | |
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| 145 | |
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| 146 | |
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| 147 | def test_set_values_const(self): |
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| 148 | quantity = Quantity(self.mesh4) |
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| 149 | |
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| 150 | quantity.set_values(1.0, location = 'vertices') |
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| 151 | assert allclose(quantity.vertex_values, |
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| 152 | [[1,1,1], [1,1,1], [1,1,1], [1, 1, 1]]) |
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| 153 | assert allclose(quantity.centroid_values, [1, 1, 1, 1]) #Centroid |
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| 154 | assert allclose(quantity.edge_values, [[1, 1, 1], |
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| 155 | [1, 1, 1], |
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| 156 | [1, 1, 1], |
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| 157 | [1, 1, 1]]) |
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| 158 | |
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| 159 | |
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| 160 | quantity.set_values(2.0, location = 'centroids') |
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| 161 | assert allclose(quantity.centroid_values, [2, 2, 2, 2]) |
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| 162 | |
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| 163 | quantity.set_values(3.0, location = 'edges') |
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| 164 | assert allclose(quantity.edge_values, [[3, 3, 3], |
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| 165 | [3, 3, 3], |
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| 166 | [3, 3, 3], |
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| 167 | [3, 3, 3]]) |
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| 168 | |
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| 169 | |
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| 170 | def test_set_values_func(self): |
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| 171 | quantity = Quantity(self.mesh4) |
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| 172 | |
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| 173 | def f(x, y): |
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| 174 | return x+y |
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| 175 | |
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| 176 | quantity.set_values(f, location = 'vertices') |
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| 177 | assert allclose(quantity.vertex_values, |
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| 178 | [[2,0,2], [2,2,4], [4,2,4], [4,2,4]]) |
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| 179 | assert allclose(quantity.centroid_values, |
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| 180 | [4.0/3, 8.0/3, 10.0/3, 10.0/3]) |
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| 181 | assert allclose(quantity.edge_values, |
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| 182 | [[1,2,1], [3,3,2], [3,4,3], [3,4,3]]) |
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| 183 | |
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| 184 | |
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| 185 | quantity.set_values(f, location = 'centroids') |
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| 186 | assert allclose(quantity.centroid_values, |
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| 187 | [4.0/3, 8.0/3, 10.0/3, 10.0/3]) |
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| 188 | |
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| 189 | |
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| 190 | def test_gradient(self): |
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| 191 | quantity = Conserved_quantity(self.mesh4) |
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| 192 | |
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| 193 | #Set up for a gradient of (3,0) at mid triangle |
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| 194 | quantity.set_values([2.0, 4.0, 8.0, 2.0], |
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| 195 | location = 'centroids') |
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| 196 | |
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| 197 | #Gradients |
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| 198 | a, b = quantity.compute_gradients() |
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| 199 | |
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| 200 | |
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| 201 | #gradient bewteen t0 and t1 is undefined as det==0 |
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| 202 | assert a[0] == 0.0 |
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| 203 | assert b[0] == 0.0 |
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| 204 | #The others are OK |
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| 205 | for i in range(1,4): |
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| 206 | assert a[i] == 3.0 |
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| 207 | assert b[i] == 0.0 |
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| 208 | |
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| 209 | |
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| 210 | quantity.extrapolate_second_order() |
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| 211 | |
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| 212 | assert allclose(quantity.vertex_values, [[2., 2., 2.], |
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| 213 | [0., 6., 6.], |
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| 214 | [6., 6., 12.], |
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| 215 | [0., 0., 6.]]) |
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| 216 | |
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| 217 | |
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| 218 | |
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| 219 | def test_second_order_extrapolation2(self): |
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| 220 | quantity = Conserved_quantity(self.mesh4) |
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| 221 | |
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| 222 | #Set up for a gradient of (3,1), f(x) = 3x+y |
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| 223 | quantity.set_values([2.0+2.0/3, 4.0+4.0/3, 8.0+2.0/3, 2.0+8.0/3], |
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| 224 | location = 'centroids') |
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| 225 | |
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| 226 | #Gradients |
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| 227 | a, b = quantity.compute_gradients() |
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| 228 | |
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| 229 | #gradient bewteen t0 and t1 is undefined as det==0 |
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| 230 | assert a[0] == 0.0 |
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| 231 | assert b[0] == 0.0 |
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| 232 | #The others are OK |
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| 233 | for i in range(1,4): |
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| 234 | assert allclose(a[i], 3.0) |
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| 235 | assert allclose(b[i], 1.0) |
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| 236 | |
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| 237 | |
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| 238 | quantity.extrapolate_second_order() |
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| 239 | |
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| 240 | assert allclose(quantity.vertex_values[1,0], 2.0) |
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| 241 | assert allclose(quantity.vertex_values[1,1], 6.0) |
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| 242 | assert allclose(quantity.vertex_values[1,2], 8.0) |
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| 243 | |
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| 244 | |
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| 245 | |
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| 246 | # def test_limiter(self): |
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| 247 | |
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| 248 | # initialise_consecutive_datastructure(points=6+4, elements=4) |
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| 249 | |
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| 250 | # a = Point (0.0, 0.0) |
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| 251 | # b = Point (0.0, 2.0) |
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| 252 | # c = Point (2.0, 0.0) |
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| 253 | # d = Point (0.0, 4.0) |
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| 254 | # e = Point (2.0, 2.0) |
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| 255 | # f = Point (4.0, 0.0) |
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| 256 | |
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| 257 | # #Set up for a gradient of (3,1), f(x) = 3x+y |
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| 258 | # v1 = Volume(b,a,c,array([0.0,0,0])) |
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| 259 | # v2 = Volume(b,c,e,array([1.0,0,0])) |
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| 260 | # v3 = Volume(e,c,f,array([10.0,0,0])) |
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| 261 | # v4 = Volume(d,b,e,array([0.0,0,0])) |
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| 262 | |
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| 263 | # #Setup neighbour structure |
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| 264 | # domain = Domain([v1,v2,v3,v4]) |
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| 265 | # domain.precompute() |
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| 266 | |
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| 267 | # #Lets's check first order first, hey |
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| 268 | # domain.order = 1 |
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| 269 | # domain.limiter = None |
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| 270 | # distribute_to_vertices_and_edges(domain) |
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| 271 | # assert allclose(v2.conserved_quantities_vertex0, |
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| 272 | # v2.conserved_quantities_centroid) |
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| 273 | # assert allclose(v2.conserved_quantities_vertex1, |
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| 274 | # v2.conserved_quantities_centroid) |
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| 275 | # assert allclose(v2.conserved_quantities_vertex2, |
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| 276 | # v2.conserved_quantities_centroid) |
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| 277 | |
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| 278 | |
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| 279 | # #Gradient of fitted pwl surface |
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| 280 | # a, b = compute_gradient(v2.id) |
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| 281 | |
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| 282 | |
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| 283 | # assert abs(a[0] - 5.0) < epsilon |
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| 284 | # assert abs(b[0]) < epsilon |
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| 285 | # #assert qminr[0] == 0.0 |
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| 286 | # #assert qmaxr[0] == 10.0 |
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| 287 | |
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| 288 | # #And now for the second order stuff |
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| 289 | # # - the full second order extrapolation |
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| 290 | # domain.order = 2 |
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| 291 | # distribute_to_vertices_and_edges(domain) |
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| 292 | |
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| 293 | |
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| 294 | # qmin = qmax = v2.conserved_quantities_centroid |
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| 295 | |
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| 296 | # qmin = minimum(qmin, v1.conserved_quantities_centroid) |
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| 297 | # qmax = maximum(qmax, v1.conserved_quantities_centroid) |
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| 298 | |
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| 299 | # qmin = minimum(qmin, v3.conserved_quantities_centroid) |
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| 300 | # qmax = maximum(qmax, v3.conserved_quantities_centroid) |
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| 301 | |
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| 302 | # qmin = minimum(qmin, v4.conserved_quantities_centroid) |
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| 303 | # qmax = maximum(qmax, v4.conserved_quantities_centroid) |
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| 304 | # #assert qminr == qmin |
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| 305 | # #assert qmaxr == qmax |
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| 306 | |
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| 307 | # assert v2.conserved_quantities_vertex0 <= qmax |
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| 308 | # assert v2.conserved_quantities_vertex0 >= qmin |
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| 309 | # assert v2.conserved_quantities_vertex1 <= qmax |
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| 310 | # assert v2.conserved_quantities_vertex1 >= qmin |
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| 311 | # assert v2.conserved_quantities_vertex2 <= qmax |
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| 312 | # assert v2.conserved_quantities_vertex2 >= qmin |
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| 313 | |
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| 314 | |
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| 315 | # #Check that volume has been preserved |
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| 316 | |
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| 317 | # q = v2.conserved_quantities_centroid[0] |
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| 318 | # w = (v2.conserved_quantities_vertex0[0] + |
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| 319 | # v2.conserved_quantities_vertex1[0] + |
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| 320 | # v2.conserved_quantities_vertex2[0])/3 |
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| 321 | |
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| 322 | # assert allclose(q, w) |
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| 323 | |
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| 324 | |
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| 325 | |
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| 326 | |
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| 327 | |
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| 328 | def test_first_order_extrapolator(self): |
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| 329 | quantity = Conserved_quantity(self.mesh4) |
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| 330 | |
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| 331 | #Test centroids |
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| 332 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
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| 333 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
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| 334 | |
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| 335 | #Extrapolate |
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| 336 | quantity.extrapolate_first_order() |
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| 337 | |
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| 338 | #Check vertices but not edge values |
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| 339 | assert allclose(quantity.vertex_values, |
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| 340 | [[1,1,1], [2,2,2], [3,3,3], [4, 4, 4]]) |
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| 341 | |
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| 342 | |
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| 343 | def test_second_order_extrapolator(self): |
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| 344 | quantity = Conserved_quantity(self.mesh4) |
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| 345 | |
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| 346 | #Set up for a gradient of (3,0) at mid triangle |
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| 347 | quantity.set_values([2.0, 4.0, 8.0, 2.0], |
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| 348 | location = 'centroids') |
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| 349 | |
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| 350 | |
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| 351 | |
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| 352 | quantity.extrapolate_second_order() |
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| 353 | quantity.limit() |
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| 354 | |
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| 355 | |
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| 356 | #Assert that central triangle is limited by neighbours |
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| 357 | assert quantity.vertex_values[1,0] >= quantity.vertex_values[0,0] |
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| 358 | assert quantity.vertex_values[1,0] >= quantity.vertex_values[3,1] |
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| 359 | |
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| 360 | assert quantity.vertex_values[1,1] <= quantity.vertex_values[2,1] |
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| 361 | assert quantity.vertex_values[1,1] >= quantity.vertex_values[0,2] |
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| 362 | |
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| 363 | assert quantity.vertex_values[1,2] <= quantity.vertex_values[2,0] |
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| 364 | assert quantity.vertex_values[1,2] >= quantity.vertex_values[3,1] |
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| 365 | |
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| 366 | |
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| 367 | #Assert that quantities are conserved |
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| 368 | from Numeric import sum |
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| 369 | for k in range(quantity.centroid_values.shape[0]): |
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| 370 | assert allclose (quantity.centroid_values[k], |
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| 371 | sum(quantity.vertex_values[k,:])/3) |
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| 372 | |
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| 373 | |
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| 374 | |
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| 375 | |
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| 376 | |
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| 377 | def test_limiter(self): |
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| 378 | quantity = Conserved_quantity(self.mesh4) |
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| 379 | |
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| 380 | #Create a deliberate overshoot (e.g. from gradient computation) |
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| 381 | quantity.set_values([[3,0,3], [2,2,6], [5,3,8], [8,3,5]]) |
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| 382 | |
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| 383 | |
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| 384 | #Limit |
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| 385 | quantity.limit() |
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| 386 | |
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| 387 | #Assert that central triangle is limited by neighbours |
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| 388 | assert quantity.vertex_values[1,0] >= quantity.vertex_values[0,0] |
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| 389 | assert quantity.vertex_values[1,0] <= quantity.vertex_values[3,1] |
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| 390 | |
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| 391 | assert quantity.vertex_values[1,1] <= quantity.vertex_values[2,1] |
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| 392 | assert quantity.vertex_values[1,1] >= quantity.vertex_values[0,2] |
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| 393 | |
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| 394 | assert quantity.vertex_values[1,2] <= quantity.vertex_values[2,0] |
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| 395 | assert quantity.vertex_values[1,2] <= quantity.vertex_values[3,1] |
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| 396 | |
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| 397 | |
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| 398 | |
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| 399 | #Assert that quantities are conserved |
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| 400 | from Numeric import sum |
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| 401 | for k in range(quantity.centroid_values.shape[0]): |
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| 402 | assert allclose (quantity.centroid_values[k], |
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| 403 | sum(quantity.vertex_values[k,:])/3) |
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| 404 | |
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| 405 | |
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| 406 | |
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| 407 | def test_distribute_first_order(self): |
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| 408 | quantity = Conserved_quantity(self.mesh4) |
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| 409 | |
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| 410 | #Test centroids |
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| 411 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
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| 412 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
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| 413 | |
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| 414 | |
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| 415 | #Extrapolate |
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| 416 | quantity.extrapolate_first_order() |
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| 417 | |
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| 418 | #Interpolate |
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| 419 | quantity.interpolate_from_vertices_to_edges() |
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| 420 | |
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| 421 | assert allclose(quantity.vertex_values, |
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| 422 | [[1,1,1], [2,2,2], [3,3,3], [4, 4, 4]]) |
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| 423 | assert allclose(quantity.edge_values, [[1,1,1], [2,2,2], |
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| 424 | [3,3,3], [4, 4, 4]]) |
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| 425 | |
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| 426 | |
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| 427 | |
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| 428 | def test_update_explicit(self): |
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| 429 | quantity = Conserved_quantity(self.mesh4) |
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| 430 | |
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| 431 | #Test centroids |
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| 432 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
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| 433 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
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| 434 | |
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| 435 | #Set explicit_update |
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| 436 | quantity.explicit_update = array( [1.,1.,1.,1.] ) |
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| 437 | |
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| 438 | #Update with given timestep |
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| 439 | quantity.update(0.1) |
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| 440 | |
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| 441 | x = array([1, 2, 3, 4]) + array( [.1,.1,.1,.1] ) |
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| 442 | assert allclose( quantity.centroid_values, x) |
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| 443 | |
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| 444 | def test_update_semi_implicit(self): |
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| 445 | quantity = Conserved_quantity(self.mesh4) |
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| 446 | |
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| 447 | #Test centroids |
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| 448 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
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| 449 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
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| 450 | |
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| 451 | #Set semi implicit update |
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| 452 | quantity.semi_implicit_update = array( [1.,1.,1.,1.] ) |
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| 453 | |
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| 454 | #Update with given timestep |
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| 455 | quantity.update(0.1) |
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| 456 | |
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| 457 | x = array([1, 2, 3, 4])/array( [.9,.9,.9,.9] ) |
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| 458 | assert allclose( quantity.centroid_values, x) |
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| 459 | |
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| 460 | def test_both_updates(self): |
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| 461 | quantity = Conserved_quantity(self.mesh4) |
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| 462 | |
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| 463 | #Test centroids |
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| 464 | quantity.set_values([1.,2.,3.,4.], location = 'centroids') |
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| 465 | assert allclose(quantity.centroid_values, [1, 2, 3, 4]) #Centroid |
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| 466 | |
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| 467 | #Set explicit_update |
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| 468 | quantity.explicit_update = array( [4.,3.,2.,1.] ) |
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| 469 | |
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| 470 | #Set semi implicit update |
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| 471 | quantity.semi_implicit_update = array( [1.,1.,1.,1.] ) |
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| 472 | |
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| 473 | #Update with given timestep |
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| 474 | quantity.update(0.1) |
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| 475 | |
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| 476 | x = array([1, 2, 3, 4]) + array( [.4,.3,.2,.1] ) |
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| 477 | x /= array( [.9,.9,.9,.9] ) |
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| 478 | assert allclose( quantity.centroid_values, x) |
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| 479 | |
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| 480 | |
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| 481 | |
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| 482 | #------------------------------------------------------------- |
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| 483 | if __name__ == "__main__": |
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| 484 | suite = unittest.makeSuite(TestCase,'test') |
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| 485 | runner = unittest.TextTestRunner() |
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| 486 | runner.run(suite) |
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| 487 | |
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| 488 | |
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