| 1 | #!/usr/bin/env python |
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| 2 | |
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| 3 | import unittest |
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| 4 | from math import sqrt |
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| 5 | |
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| 6 | from domain import * |
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| 7 | from config import epsilon |
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| 8 | from Numeric import allclose, array, ones, Float |
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| 9 | |
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| 10 | |
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| 11 | def add_to_verts(tag, elements, domain): |
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| 12 | if tag == "mound": |
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| 13 | domain.test = "Mound" |
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| 14 | |
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| 15 | |
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| 16 | def set_bottom_friction(tag, elements, domain): |
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| 17 | if tag == "bottom": |
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| 18 | #print 'bottom - indices',elements |
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| 19 | domain.set_quantity('friction', 0.09, indices = elements) |
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| 20 | |
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| 21 | def set_top_friction(tag, elements, domain): |
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| 22 | if tag == "top": |
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| 23 | #print 'top - indices',elements |
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| 24 | domain.set_quantity('friction', 1., indices = elements) |
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| 25 | |
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| 26 | |
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| 27 | def set_all_friction(tag, elements, domain): |
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| 28 | if tag == "all": |
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| 29 | new_values = domain.get_quantity('friction', indices = elements) + 10.0 |
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| 30 | |
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| 31 | domain.set_quantity('friction', new_values, indices = elements) |
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| 32 | |
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| 33 | |
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| 34 | class Test_Domain(unittest.TestCase): |
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| 35 | def setUp(self): |
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| 36 | pass |
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| 37 | |
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| 38 | |
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| 39 | def tearDown(self): |
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| 40 | pass |
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| 41 | |
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| 42 | |
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| 43 | def test_simple(self): |
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| 44 | a = [0.0, 0.0] |
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| 45 | b = [0.0, 2.0] |
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| 46 | c = [2.0,0.0] |
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| 47 | d = [0.0, 4.0] |
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| 48 | e = [2.0, 2.0] |
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| 49 | f = [4.0,0.0] |
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| 50 | |
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| 51 | points = [a, b, c, d, e, f] |
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| 52 | #bac, bce, ecf, dbe, daf, dae |
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| 53 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 54 | |
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| 55 | conserved_quantities = ['stage', 'xmomentum', 'ymomentum'] |
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| 56 | other_quantities = ['elevation', 'friction'] |
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| 57 | |
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| 58 | domain = Domain(points, vertices, None, |
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| 59 | conserved_quantities, other_quantities) |
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| 60 | domain.check_integrity() |
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| 61 | |
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| 62 | for name in conserved_quantities + other_quantities: |
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| 63 | assert domain.quantities.has_key(name) |
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| 64 | |
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| 65 | |
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| 66 | assert domain.get_conserved_quantities(0, edge=1) == 0. |
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| 67 | |
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| 68 | |
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| 69 | def test_conserved_quantities(self): |
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| 70 | |
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| 71 | a = [0.0, 0.0] |
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| 72 | b = [0.0, 2.0] |
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| 73 | c = [2.0,0.0] |
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| 74 | d = [0.0, 4.0] |
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| 75 | e = [2.0, 2.0] |
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| 76 | f = [4.0,0.0] |
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| 77 | |
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| 78 | points = [a, b, c, d, e, f] |
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| 79 | #bac, bce, ecf, dbe, daf, dae |
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| 80 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 81 | |
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| 82 | domain = Domain(points, vertices, boundary=None, |
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| 83 | conserved_quantities =\ |
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| 84 | ['stage', 'xmomentum', 'ymomentum']) |
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| 85 | |
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| 86 | |
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| 87 | domain.set_quantity('stage', [[1,2,3], [5,5,5], |
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| 88 | [0,0,9], [-6, 3, 3]]) |
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| 89 | |
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| 90 | domain.set_quantity('xmomentum', [[1,2,3], [5,5,5], |
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| 91 | [0,0,9], [-6, 3, 3]]) |
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| 92 | |
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| 93 | domain.check_integrity() |
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| 94 | |
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| 95 | #Centroids |
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| 96 | q = domain.get_conserved_quantities(0) |
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| 97 | assert allclose(q, [2., 2., 0.]) |
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| 98 | |
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| 99 | q = domain.get_conserved_quantities(1) |
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| 100 | assert allclose(q, [5., 5., 0.]) |
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| 101 | |
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| 102 | q = domain.get_conserved_quantities(2) |
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| 103 | assert allclose(q, [3., 3., 0.]) |
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| 104 | |
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| 105 | q = domain.get_conserved_quantities(3) |
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| 106 | assert allclose(q, [0., 0., 0.]) |
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| 107 | |
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| 108 | |
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| 109 | #Edges |
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| 110 | q = domain.get_conserved_quantities(0, edge=0) |
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| 111 | assert allclose(q, [2.5, 2.5, 0.]) |
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| 112 | q = domain.get_conserved_quantities(0, edge=1) |
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| 113 | assert allclose(q, [2., 2., 0.]) |
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| 114 | q = domain.get_conserved_quantities(0, edge=2) |
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| 115 | assert allclose(q, [1.5, 1.5, 0.]) |
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| 116 | |
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| 117 | for i in range(3): |
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| 118 | q = domain.get_conserved_quantities(1, edge=i) |
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| 119 | assert allclose(q, [5, 5, 0.]) |
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| 120 | |
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| 121 | |
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| 122 | q = domain.get_conserved_quantities(2, edge=0) |
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| 123 | assert allclose(q, [4.5, 4.5, 0.]) |
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| 124 | q = domain.get_conserved_quantities(2, edge=1) |
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| 125 | assert allclose(q, [4.5, 4.5, 0.]) |
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| 126 | q = domain.get_conserved_quantities(2, edge=2) |
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| 127 | assert allclose(q, [0., 0., 0.]) |
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| 128 | |
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| 129 | |
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| 130 | q = domain.get_conserved_quantities(3, edge=0) |
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| 131 | assert allclose(q, [3., 3., 0.]) |
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| 132 | q = domain.get_conserved_quantities(3, edge=1) |
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| 133 | assert allclose(q, [-1.5, -1.5, 0.]) |
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| 134 | q = domain.get_conserved_quantities(3, edge=2) |
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| 135 | assert allclose(q, [-1.5, -1.5, 0.]) |
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| 136 | |
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| 137 | |
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| 138 | |
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| 139 | def test_create_quantity_from_expression(self): |
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| 140 | """Quantity created from other quantities using arbitrary expression |
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| 141 | |
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| 142 | """ |
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| 143 | |
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| 144 | |
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| 145 | a = [0.0, 0.0] |
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| 146 | b = [0.0, 2.0] |
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| 147 | c = [2.0,0.0] |
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| 148 | d = [0.0, 4.0] |
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| 149 | e = [2.0, 2.0] |
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| 150 | f = [4.0,0.0] |
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| 151 | |
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| 152 | points = [a, b, c, d, e, f] |
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| 153 | #bac, bce, ecf, dbe, daf, dae |
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| 154 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 155 | |
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| 156 | domain = Domain(points, vertices, boundary=None, |
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| 157 | conserved_quantities =\ |
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| 158 | ['stage', 'xmomentum', 'ymomentum'], |
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| 159 | other_quantities = ['elevation', 'friction']) |
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| 160 | |
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| 161 | |
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| 162 | domain.set_quantity('elevation', -1) |
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| 163 | |
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| 164 | |
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| 165 | domain.set_quantity('stage', [[1,2,3], [5,5,5], |
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| 166 | [0,0,9], [-6, 3, 3]]) |
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| 167 | |
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| 168 | domain.set_quantity('xmomentum', [[1,2,3], [5,5,5], |
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| 169 | [0,0,9], [-6, 3, 3]]) |
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| 170 | |
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| 171 | domain.set_quantity('ymomentum', [[3,3,3], [4,2,1], |
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| 172 | [2,4,-1], [1, 0, 1]]) |
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| 173 | |
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| 174 | domain.check_integrity() |
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| 175 | |
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| 176 | |
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| 177 | |
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| 178 | expression = 'stage - elevation' |
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| 179 | Q = domain.create_quantity_from_expression(expression) |
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| 180 | |
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| 181 | assert allclose(Q.vertex_values, [[2,3,4], [6,6,6], |
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| 182 | [1,1,10], [-5, 4, 4]]) |
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| 183 | |
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| 184 | expression = '(xmomentum*xmomentum + ymomentum*ymomentum)**0.5' |
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| 185 | Q = domain.create_quantity_from_expression(expression) |
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| 186 | |
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| 187 | X = domain.quantities['xmomentum'].vertex_values |
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| 188 | Y = domain.quantities['ymomentum'].vertex_values |
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| 189 | |
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| 190 | assert allclose(Q.vertex_values, (X**2 + Y**2)**0.5) |
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| 191 | |
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| 192 | |
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| 193 | |
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| 194 | |
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| 195 | |
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| 196 | def test_set_quantity_from_expression(self): |
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| 197 | """Quantity set using arbitrary expression |
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| 198 | |
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| 199 | """ |
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| 200 | |
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| 201 | |
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| 202 | a = [0.0, 0.0] |
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| 203 | b = [0.0, 2.0] |
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| 204 | c = [2.0,0.0] |
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| 205 | d = [0.0, 4.0] |
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| 206 | e = [2.0, 2.0] |
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| 207 | f = [4.0,0.0] |
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| 208 | |
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| 209 | points = [a, b, c, d, e, f] |
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| 210 | #bac, bce, ecf, dbe, daf, dae |
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| 211 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4]] |
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| 212 | |
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| 213 | domain = Domain(points, vertices, boundary=None, |
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| 214 | conserved_quantities =\ |
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| 215 | ['stage', 'xmomentum', 'ymomentum'], |
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| 216 | other_quantities = ['elevation', 'friction', 'depth']) |
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| 217 | |
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| 218 | |
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| 219 | domain.set_quantity('elevation', -1) |
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| 220 | |
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| 221 | |
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| 222 | domain.set_quantity('stage', [[1,2,3], [5,5,5], |
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| 223 | [0,0,9], [-6, 3, 3]]) |
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| 224 | |
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| 225 | domain.set_quantity('xmomentum', [[1,2,3], [5,5,5], |
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| 226 | [0,0,9], [-6, 3, 3]]) |
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| 227 | |
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| 228 | domain.set_quantity('ymomentum', [[3,3,3], [4,2,1], |
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| 229 | [2,4,-1], [1, 0, 1]]) |
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| 230 | |
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| 231 | |
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| 232 | |
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| 233 | |
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| 234 | domain.set_quantity('depth', expression = 'stage - elevation') |
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| 235 | |
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| 236 | domain.check_integrity() |
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| 237 | |
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| 238 | |
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| 239 | |
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| 240 | |
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| 241 | Q = domain.quantities['depth'] |
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| 242 | |
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| 243 | assert allclose(Q.vertex_values, [[2,3,4], [6,6,6], |
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| 244 | [1,1,10], [-5, 4, 4]]) |
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| 245 | |
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| 246 | |
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| 247 | |
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| 248 | |
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| 249 | |
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| 250 | |
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| 251 | |
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| 252 | |
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| 253 | |
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| 254 | def test_boundary_indices(self): |
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| 255 | |
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| 256 | from config import default_boundary_tag |
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| 257 | |
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| 258 | |
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| 259 | a = [0.0, 0.5] |
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| 260 | b = [0.0, 0.0] |
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| 261 | c = [0.5, 0.5] |
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| 262 | |
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| 263 | points = [a, b, c] |
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| 264 | vertices = [ [0,1,2] ] |
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| 265 | domain = Domain(points, vertices) |
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| 266 | |
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| 267 | domain.set_boundary( {default_boundary_tag: Dirichlet_boundary([5,2,1])} ) |
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| 268 | |
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| 269 | |
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| 270 | domain.check_integrity() |
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| 271 | |
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| 272 | assert allclose(domain.neighbours, [[-1,-2,-3]]) |
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| 273 | |
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| 274 | |
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| 275 | |
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| 276 | def test_boundary_conditions(self): |
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| 277 | |
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| 278 | a = [0.0, 0.0] |
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| 279 | b = [0.0, 2.0] |
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| 280 | c = [2.0,0.0] |
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| 281 | d = [0.0, 4.0] |
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| 282 | e = [2.0, 2.0] |
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| 283 | f = [4.0,0.0] |
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| 284 | |
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| 285 | points = [a, b, c, d, e, f] |
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| 286 | #bac, bce, ecf, dbe |
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| 287 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4] ] |
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| 288 | boundary = { (0, 0): 'First', |
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| 289 | (0, 2): 'First', |
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| 290 | (2, 0): 'Second', |
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| 291 | (2, 1): 'Second', |
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| 292 | (3, 1): 'Second', |
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| 293 | (3, 2): 'Second'} |
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| 294 | |
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| 295 | |
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| 296 | domain = Domain(points, vertices, boundary, |
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| 297 | conserved_quantities =\ |
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| 298 | ['stage', 'xmomentum', 'ymomentum']) |
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| 299 | domain.check_integrity() |
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| 300 | |
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| 301 | |
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| 302 | |
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| 303 | domain.set_quantity('stage', [[1,2,3], [5,5,5], |
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| 304 | [0,0,9], [-6, 3, 3]]) |
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| 305 | |
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| 306 | |
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| 307 | domain.set_boundary( {'First': Dirichlet_boundary([5,2,1]), |
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| 308 | 'Second': Transmissive_boundary(domain)} ) |
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| 309 | |
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| 310 | domain.update_boundary() |
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| 311 | |
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| 312 | assert domain.quantities['stage'].boundary_values[0] == 5. #Dirichlet |
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| 313 | assert domain.quantities['stage'].boundary_values[1] == 5. #Dirichlet |
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| 314 | assert domain.quantities['stage'].boundary_values[2] ==\ |
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| 315 | domain.get_conserved_quantities(2, edge=0)[0] #Transmissive (4.5) |
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| 316 | assert domain.quantities['stage'].boundary_values[3] ==\ |
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| 317 | domain.get_conserved_quantities(2, edge=1)[0] #Transmissive (4.5) |
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| 318 | assert domain.quantities['stage'].boundary_values[4] ==\ |
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| 319 | domain.get_conserved_quantities(3, edge=1)[0] #Transmissive (-1.5) |
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| 320 | assert domain.quantities['stage'].boundary_values[5] ==\ |
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| 321 | domain.get_conserved_quantities(3, edge=2)[0] #Transmissive (-1.5) |
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| 322 | |
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| 323 | #Check enumeration |
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| 324 | for k, ((vol_id, edge_id), _) in enumerate(domain.boundary_objects): |
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| 325 | assert domain.neighbours[vol_id, edge_id] == -k-1 |
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| 326 | |
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| 327 | |
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| 328 | |
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| 329 | |
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| 330 | def test_distribute_first_order(self): |
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| 331 | """Domain implements a default first order gradient limiter |
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| 332 | """ |
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| 333 | |
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| 334 | a = [0.0, 0.0] |
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| 335 | b = [0.0, 2.0] |
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| 336 | c = [2.0,0.0] |
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| 337 | d = [0.0, 4.0] |
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| 338 | e = [2.0, 2.0] |
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| 339 | f = [4.0,0.0] |
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| 340 | |
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| 341 | points = [a, b, c, d, e, f] |
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| 342 | #bac, bce, ecf, dbe |
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| 343 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4] ] |
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| 344 | boundary = { (0, 0): 'Third', |
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| 345 | (0, 2): 'First', |
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| 346 | (2, 0): 'Second', |
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| 347 | (2, 1): 'Second', |
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| 348 | (3, 1): 'Second', |
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| 349 | (3, 2): 'Third'} |
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| 350 | |
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| 351 | |
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| 352 | domain = Domain(points, vertices, boundary, |
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| 353 | conserved_quantities =\ |
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| 354 | ['stage', 'xmomentum', 'ymomentum']) |
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| 355 | domain.check_integrity() |
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| 356 | |
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| 357 | |
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| 358 | domain.set_quantity('stage', [[1,2,3], [5,5,5], |
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| 359 | [0,0,9], [-6, 3, 3]]) |
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| 360 | |
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| 361 | assert allclose( domain.quantities['stage'].centroid_values, |
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| 362 | [2,5,3,0] ) |
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| 363 | |
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| 364 | domain.set_quantity('xmomentum', [[1,1,1], [2,2,2], |
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| 365 | [3,3,3], [4, 4, 4]]) |
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| 366 | |
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| 367 | domain.set_quantity('ymomentum', [[10,10,10], [20,20,20], |
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| 368 | [30,30,30], [40, 40, 40]]) |
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| 369 | |
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| 370 | |
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| 371 | domain.distribute_to_vertices_and_edges() |
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| 372 | |
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| 373 | #First order extrapolation |
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| 374 | assert allclose( domain.quantities['stage'].vertex_values, |
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| 375 | [[ 2., 2., 2.], |
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| 376 | [ 5., 5., 5.], |
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| 377 | [ 3., 3., 3.], |
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| 378 | [ 0., 0., 0.]]) |
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| 379 | |
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| 380 | |
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| 381 | |
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| 382 | |
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| 383 | def test_update_conserved_quantities(self): |
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| 384 | a = [0.0, 0.0] |
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| 385 | b = [0.0, 2.0] |
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| 386 | c = [2.0,0.0] |
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| 387 | d = [0.0, 4.0] |
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| 388 | e = [2.0, 2.0] |
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| 389 | f = [4.0,0.0] |
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| 390 | |
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| 391 | points = [a, b, c, d, e, f] |
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| 392 | #bac, bce, ecf, dbe |
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| 393 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4] ] |
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| 394 | boundary = { (0, 0): 'Third', |
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| 395 | (0, 2): 'First', |
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| 396 | (2, 0): 'Second', |
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| 397 | (2, 1): 'Second', |
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| 398 | (3, 1): 'Second', |
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| 399 | (3, 2): 'Third'} |
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| 400 | |
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| 401 | |
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| 402 | domain = Domain(points, vertices, boundary, |
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| 403 | conserved_quantities =\ |
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| 404 | ['stage', 'xmomentum', 'ymomentum']) |
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| 405 | domain.check_integrity() |
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| 406 | |
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| 407 | |
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| 408 | domain.set_quantity('stage', [1,2,3,4], location='centroids') |
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| 409 | domain.set_quantity('xmomentum', [1,2,3,4], location='centroids') |
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| 410 | domain.set_quantity('ymomentum', [1,2,3,4], location='centroids') |
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| 411 | |
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| 412 | |
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| 413 | #Assign some values to update vectors |
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| 414 | #Set explicit_update |
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| 415 | |
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| 416 | for name in domain.conserved_quantities: |
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| 417 | domain.quantities[name].explicit_update = array([4.,3.,2.,1.]) |
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| 418 | domain.quantities[name].semi_implicit_update = array([1.,1.,1.,1.]) |
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| 419 | |
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| 420 | |
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| 421 | #Update with given timestep (assuming no other forcing terms) |
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| 422 | domain.timestep = 0.1 |
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| 423 | domain.update_conserved_quantities() |
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| 424 | |
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| 425 | sem = array([1.,1.,1.,1.])/array([1, 2, 3, 4]) |
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| 426 | denom = ones(4, Float)-domain.timestep*sem |
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| 427 | |
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| 428 | x = array([1, 2, 3, 4]) + array( [.4,.3,.2,.1] ) |
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| 429 | x /= denom |
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| 430 | |
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| 431 | for name in domain.conserved_quantities: |
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| 432 | assert allclose(domain.quantities[name].centroid_values, x) |
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| 433 | |
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| 434 | |
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| 435 | def test_set_region(self): |
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| 436 | """Set quantities for sub region |
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| 437 | """ |
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| 438 | |
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| 439 | a = [0.0, 0.0] |
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| 440 | b = [0.0, 2.0] |
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| 441 | c = [2.0,0.0] |
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| 442 | d = [0.0, 4.0] |
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| 443 | e = [2.0, 2.0] |
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| 444 | f = [4.0,0.0] |
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| 445 | |
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| 446 | points = [a, b, c, d, e, f] |
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| 447 | #bac, bce, ecf, dbe |
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| 448 | vertices = [ [1,0,2], [1,2,4], [4,2,5], [3,1,4] ] |
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| 449 | boundary = { (0, 0): 'Third', |
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| 450 | (0, 2): 'First', |
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| 451 | (2, 0): 'Second', |
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| 452 | (2, 1): 'Second', |
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| 453 | (3, 1): 'Second', |
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| 454 | (3, 2): 'Third'} |
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| 455 | |
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| 456 | domain = Domain(points, vertices, boundary, |
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| 457 | conserved_quantities =\ |
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| 458 | ['stage', 'xmomentum', 'ymomentum']) |
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| 459 | domain.check_integrity() |
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| 460 | |
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| 461 | domain.set_quantity('stage', [[1,2,3], [5,5,5], |
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| 462 | [0,0,9], [-6, 3, 3]]) |
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| 463 | |
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| 464 | assert allclose( domain.quantities['stage'].centroid_values, |
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| 465 | [2,5,3,0] ) |
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| 466 | |
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| 467 | domain.set_quantity('xmomentum', [[1,1,1], [2,2,2], |
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| 468 | [3,3,3], [4, 4, 4]]) |
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| 469 | |
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| 470 | domain.set_quantity('ymomentum', [[10,10,10], [20,20,20], |
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| 471 | [30,30,30], [40, 40, 40]]) |
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| 472 | |
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| 473 | |
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| 474 | domain.distribute_to_vertices_and_edges() |
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| 475 | |
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| 476 | #First order extrapolation |
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| 477 | assert allclose( domain.quantities['stage'].vertex_values, |
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| 478 | [[ 2., 2., 2.], |
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| 479 | [ 5., 5., 5.], |
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| 480 | [ 3., 3., 3.], |
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| 481 | [ 0., 0., 0.]]) |
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| 482 | |
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| 483 | domain.build_tagged_elements_dictionary({'mound':[0,1]}) |
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| 484 | domain.set_region([add_to_verts]) |
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| 485 | |
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| 486 | self.failUnless(domain.test == "Mound", |
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| 487 | 'set region failed') |
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| 488 | |
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| 489 | |
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| 490 | |
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| 491 | def test_region_tags(self): |
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| 492 | """ |
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| 493 | get values based on triangle lists. |
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| 494 | """ |
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| 495 | from mesh_factory import rectangular |
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| 496 | from shallow_water import Domain |
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| 497 | from Numeric import zeros, Float |
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| 498 | |
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| 499 | #Create basic mesh |
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| 500 | points, vertices, boundary = rectangular(1, 3) |
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| 501 | |
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| 502 | #Create shallow water domain |
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| 503 | domain = Domain(points, vertices, boundary) |
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| 504 | domain.build_tagged_elements_dictionary({'bottom':[0,1], |
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| 505 | 'top':[4,5], |
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| 506 | 'all':[0,1,2,3,4,5]}) |
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| 507 | |
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| 508 | |
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| 509 | #Set friction |
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| 510 | manning = 0.07 |
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| 511 | domain.set_quantity('friction', manning) |
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| 512 | |
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| 513 | domain.set_region([set_bottom_friction, set_top_friction]) |
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| 514 | #print domain.quantities['friction'].get_values() |
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| 515 | assert allclose(domain.quantities['friction'].get_values(),\ |
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| 516 | [[ 0.09, 0.09, 0.09], |
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| 517 | [ 0.09, 0.09, 0.09], |
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| 518 | [ 0.07, 0.07, 0.07], |
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| 519 | [ 0.07, 0.07, 0.07], |
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| 520 | [ 1.0, 1.0, 1.0], |
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| 521 | [ 1.0, 1.0, 1.0]]) |
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| 522 | |
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| 523 | domain.set_region([set_all_friction]) |
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| 524 | #print domain.quantities['friction'].get_values() |
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| 525 | assert allclose(domain.quantities['friction'].get_values(), |
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| 526 | [[ 10.09, 10.09, 10.09], |
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| 527 | [ 10.09, 10.09, 10.09], |
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| 528 | [ 10.07, 10.07, 10.07], |
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| 529 | [ 10.07, 10.07, 10.07], |
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| 530 | [ 11.0, 11.0, 11.0], |
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| 531 | [ 11.0, 11.0, 11.0]]) |
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| 532 | |
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| 533 | |
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| 534 | #------------------------------------------------------------- |
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| 535 | if __name__ == "__main__": |
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| 536 | suite = unittest.makeSuite(Test_Domain,'test') |
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| 537 | runner = unittest.TextTestRunner() |
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| 538 | runner.run(suite) |
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