Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/generators/tests/test_lattice.py @ 0:4f3585e2f14b draft default tip
"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
author | shellac |
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date | Mon, 22 Mar 2021 18:12:50 +0000 |
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1 """Unit tests for the :mod:`networkx.generators.lattice` module.""" |
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2 |
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3 import pytest |
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4 |
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5 import networkx as nx |
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6 from networkx.testing import assert_edges_equal |
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7 from itertools import product |
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8 |
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9 |
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10 class TestGrid2DGraph: |
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11 """Unit tests for :func:`networkx.generators.lattice.grid_2d_graph`""" |
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12 |
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13 def test_number_of_vertices(self): |
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14 m, n = 5, 6 |
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15 G = nx.grid_2d_graph(m, n) |
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16 assert len(G) == m * n |
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17 |
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18 def test_degree_distribution(self): |
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19 m, n = 5, 6 |
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20 G = nx.grid_2d_graph(m, n) |
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21 expected_histogram = [0, 0, 4, 2 * (m + n) - 8, (m - 2) * (n - 2)] |
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22 assert nx.degree_histogram(G) == expected_histogram |
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23 |
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24 def test_directed(self): |
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25 m, n = 5, 6 |
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26 G = nx.grid_2d_graph(m, n) |
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27 H = nx.grid_2d_graph(m, n, create_using=nx.DiGraph()) |
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28 assert H.succ == G.adj |
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29 assert H.pred == G.adj |
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30 |
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31 def test_multigraph(self): |
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32 m, n = 5, 6 |
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33 G = nx.grid_2d_graph(m, n) |
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34 H = nx.grid_2d_graph(m, n, create_using=nx.MultiGraph()) |
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35 assert list(H.edges()) == list(G.edges()) |
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36 |
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37 def test_periodic(self): |
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38 G = nx.grid_2d_graph(0, 0, periodic=True) |
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39 assert dict(G.degree()) == {} |
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40 |
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41 for m, n, H in [ |
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42 (2, 2, nx.cycle_graph(4)), |
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43 (1, 7, nx.cycle_graph(7)), |
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44 (7, 1, nx.cycle_graph(7)), |
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45 (2, 5, nx.circular_ladder_graph(5)), |
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46 (5, 2, nx.circular_ladder_graph(5)), |
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47 (2, 4, nx.cubical_graph()), |
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48 (4, 2, nx.cubical_graph()), |
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49 ]: |
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50 G = nx.grid_2d_graph(m, n, periodic=True) |
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51 assert nx.could_be_isomorphic(G, H) |
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52 |
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53 def test_periodic_iterable(self): |
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54 m, n = 3, 7 |
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55 for a, b in product([0, 1], [0, 1]): |
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56 G = nx.grid_2d_graph(m, n, periodic=(a, b)) |
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57 assert G.number_of_nodes() == m * n |
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58 assert G.number_of_edges() == (m + a - 1) * n + (n + b - 1) * m |
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59 |
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60 def test_periodic_directed(self): |
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61 G = nx.grid_2d_graph(4, 2, periodic=True) |
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62 H = nx.grid_2d_graph(4, 2, periodic=True, create_using=nx.DiGraph()) |
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63 assert H.succ == G.adj |
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64 assert H.pred == G.adj |
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65 |
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66 def test_periodic_multigraph(self): |
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67 G = nx.grid_2d_graph(4, 2, periodic=True) |
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68 H = nx.grid_2d_graph(4, 2, periodic=True, create_using=nx.MultiGraph()) |
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69 assert list(G.edges()) == list(H.edges()) |
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70 |
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71 def test_node_input(self): |
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72 G = nx.grid_2d_graph(4, 2, periodic=True) |
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73 H = nx.grid_2d_graph(range(4), range(2), periodic=True) |
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74 assert nx.is_isomorphic(H, G) |
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75 H = nx.grid_2d_graph("abcd", "ef", periodic=True) |
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76 assert nx.is_isomorphic(H, G) |
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77 G = nx.grid_2d_graph(5, 6) |
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78 H = nx.grid_2d_graph(range(5), range(6)) |
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79 assert_edges_equal(H, G) |
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80 |
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81 |
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82 class TestGridGraph: |
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83 """Unit tests for :func:`networkx.generators.lattice.grid_graph`""" |
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84 |
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85 def test_grid_graph(self): |
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86 """grid_graph([n,m]) is a connected simple graph with the |
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87 following properties: |
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88 number_of_nodes = n*m |
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89 degree_histogram = [0,0,4,2*(n+m)-8,(n-2)*(m-2)] |
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90 """ |
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91 for n, m in [(3, 5), (5, 3), (4, 5), (5, 4)]: |
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92 dim = [n, m] |
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93 g = nx.grid_graph(dim) |
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94 assert len(g) == n * m |
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95 assert nx.degree_histogram(g) == [ |
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96 0, |
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97 0, |
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98 4, |
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99 2 * (n + m) - 8, |
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100 (n - 2) * (m - 2), |
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101 ] |
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102 |
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103 for n, m in [(1, 5), (5, 1)]: |
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104 dim = [n, m] |
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105 g = nx.grid_graph(dim) |
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106 assert len(g) == n * m |
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107 assert nx.is_isomorphic(g, nx.path_graph(5)) |
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108 |
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109 # mg = nx.grid_graph([n,m], create_using=MultiGraph()) |
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110 # assert_equal(mg.edges(), g.edges()) |
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111 |
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112 def test_node_input(self): |
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113 G = nx.grid_graph([range(7, 9), range(3, 6)]) |
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114 assert len(G) == 2 * 3 |
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115 assert nx.is_isomorphic(G, nx.grid_graph([2, 3])) |
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116 |
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117 def test_periodic_iterable(self): |
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118 m, n, k = 3, 7, 5 |
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119 for a, b, c in product([0, 1], [0, 1], [0, 1]): |
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120 G = nx.grid_graph([m, n, k], periodic=(a, b, c)) |
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121 num_e = (m + a - 1) * n * k + (n + b - 1) * m * k + (k + c - 1) * m * n |
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122 assert G.number_of_nodes() == m * n * k |
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123 assert G.number_of_edges() == num_e |
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124 |
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125 |
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126 class TestHypercubeGraph: |
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127 """Unit tests for :func:`networkx.generators.lattice.hypercube_graph`""" |
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128 |
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129 def test_special_cases(self): |
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130 for n, H in [ |
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131 (0, nx.null_graph()), |
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132 (1, nx.path_graph(2)), |
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133 (2, nx.cycle_graph(4)), |
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134 (3, nx.cubical_graph()), |
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135 ]: |
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136 G = nx.hypercube_graph(n) |
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137 assert nx.could_be_isomorphic(G, H) |
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138 |
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139 def test_degree_distribution(self): |
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140 for n in range(1, 10): |
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141 G = nx.hypercube_graph(n) |
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142 expected_histogram = [0] * n + [2 ** n] |
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143 assert nx.degree_histogram(G) == expected_histogram |
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144 |
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145 |
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146 class TestTriangularLatticeGraph: |
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147 "Tests for :func:`networkx.generators.lattice.triangular_lattice_graph`" |
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148 |
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149 def test_lattice_points(self): |
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150 """Tests that the graph is really a triangular lattice.""" |
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151 for m, n in [(2, 3), (2, 2), (2, 1), (3, 3), (3, 2), (3, 4)]: |
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152 G = nx.triangular_lattice_graph(m, n) |
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153 N = (n + 1) // 2 |
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154 assert len(G) == (m + 1) * (1 + N) - (n % 2) * ((m + 1) // 2) |
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155 for (i, j) in G.nodes(): |
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156 nbrs = G[(i, j)] |
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157 if i < N: |
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158 assert (i + 1, j) in nbrs |
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159 if j < m: |
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160 assert (i, j + 1) in nbrs |
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161 if j < m and (i > 0 or j % 2) and (i < N or (j + 1) % 2): |
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162 assert (i + 1, j + 1) in nbrs or (i - 1, j + 1) in nbrs |
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163 |
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164 def test_directed(self): |
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165 """Tests for creating a directed triangular lattice.""" |
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166 G = nx.triangular_lattice_graph(3, 4, create_using=nx.Graph()) |
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167 H = nx.triangular_lattice_graph(3, 4, create_using=nx.DiGraph()) |
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168 assert H.is_directed() |
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169 for u, v in H.edges(): |
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170 assert v[1] >= u[1] |
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171 if v[1] == u[1]: |
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172 assert v[0] > u[0] |
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173 |
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174 def test_multigraph(self): |
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175 """Tests for creating a triangular lattice multigraph.""" |
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176 G = nx.triangular_lattice_graph(3, 4, create_using=nx.Graph()) |
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177 H = nx.triangular_lattice_graph(3, 4, create_using=nx.MultiGraph()) |
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178 assert list(H.edges()) == list(G.edges()) |
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179 |
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180 def test_periodic(self): |
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181 G = nx.triangular_lattice_graph(4, 6, periodic=True) |
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182 assert len(G) == 12 |
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183 assert G.size() == 36 |
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184 # all degrees are 6 |
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185 assert len([n for n, d in G.degree() if d != 6]) == 0 |
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186 G = nx.triangular_lattice_graph(5, 7, periodic=True) |
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187 TLG = nx.triangular_lattice_graph |
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188 pytest.raises(nx.NetworkXError, TLG, 2, 4, periodic=True) |
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189 pytest.raises(nx.NetworkXError, TLG, 4, 4, periodic=True) |
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190 pytest.raises(nx.NetworkXError, TLG, 2, 6, periodic=True) |
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191 |
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192 |
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193 class TestHexagonalLatticeGraph: |
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194 "Tests for :func:`networkx.generators.lattice.hexagonal_lattice_graph`" |
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195 |
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196 def test_lattice_points(self): |
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197 """Tests that the graph is really a hexagonal lattice.""" |
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198 for m, n in [(4, 5), (4, 4), (4, 3), (3, 2), (3, 3), (3, 5)]: |
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199 G = nx.hexagonal_lattice_graph(m, n) |
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200 assert len(G) == 2 * (m + 1) * (n + 1) - 2 |
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201 C_6 = nx.cycle_graph(6) |
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202 hexagons = [ |
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203 [(0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2)], |
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204 [(0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4)], |
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205 [(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3)], |
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206 [(2, 0), (2, 1), (2, 2), (3, 0), (3, 1), (3, 2)], |
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207 [(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3, 4)], |
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208 ] |
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209 for hexagon in hexagons: |
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210 assert nx.is_isomorphic(G.subgraph(hexagon), C_6) |
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211 |
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212 def test_directed(self): |
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213 """Tests for creating a directed hexagonal lattice.""" |
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214 G = nx.hexagonal_lattice_graph(3, 5, create_using=nx.Graph()) |
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215 H = nx.hexagonal_lattice_graph(3, 5, create_using=nx.DiGraph()) |
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216 assert H.is_directed() |
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217 pos = nx.get_node_attributes(H, "pos") |
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218 for u, v in H.edges(): |
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219 assert pos[v][1] >= pos[u][1] |
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220 if pos[v][1] == pos[u][1]: |
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221 assert pos[v][0] > pos[u][0] |
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222 |
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223 def test_multigraph(self): |
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224 """Tests for creating a hexagonal lattice multigraph.""" |
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225 G = nx.hexagonal_lattice_graph(3, 5, create_using=nx.Graph()) |
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226 H = nx.hexagonal_lattice_graph(3, 5, create_using=nx.MultiGraph()) |
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227 assert list(H.edges()) == list(G.edges()) |
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228 |
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229 def test_periodic(self): |
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230 G = nx.hexagonal_lattice_graph(4, 6, periodic=True) |
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231 assert len(G) == 48 |
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232 assert G.size() == 72 |
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233 # all degrees are 3 |
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234 assert len([n for n, d in G.degree() if d != 3]) == 0 |
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235 G = nx.hexagonal_lattice_graph(5, 8, periodic=True) |
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236 HLG = nx.hexagonal_lattice_graph |
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237 pytest.raises(nx.NetworkXError, HLG, 2, 7, periodic=True) |
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238 pytest.raises(nx.NetworkXError, HLG, 1, 4, periodic=True) |
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239 pytest.raises(nx.NetworkXError, HLG, 2, 1, periodic=True) |