Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/linalg/tests/test_modularity.py @ 0:4f3585e2f14b draft default tip
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author | shellac |
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date | Mon, 22 Mar 2021 18:12:50 +0000 |
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1 import pytest |
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2 |
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3 np = pytest.importorskip("numpy") |
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4 npt = pytest.importorskip("numpy.testing") |
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5 scipy = pytest.importorskip("scipy") |
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6 |
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7 import networkx as nx |
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8 from networkx.generators.degree_seq import havel_hakimi_graph |
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9 |
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10 |
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11 class TestModularity: |
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12 @classmethod |
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13 def setup_class(cls): |
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14 deg = [3, 2, 2, 1, 0] |
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15 cls.G = havel_hakimi_graph(deg) |
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16 # Graph used as an example in Sec. 4.1 of Langville and Meyer, |
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17 # "Google's PageRank and Beyond". (Used for test_directed_laplacian) |
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18 cls.DG = nx.DiGraph() |
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19 cls.DG.add_edges_from( |
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20 ( |
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21 (1, 2), |
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22 (1, 3), |
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23 (3, 1), |
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24 (3, 2), |
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25 (3, 5), |
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26 (4, 5), |
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27 (4, 6), |
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28 (5, 4), |
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29 (5, 6), |
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30 (6, 4), |
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31 ) |
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32 ) |
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33 |
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34 def test_modularity(self): |
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35 "Modularity matrix" |
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36 # fmt: off |
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37 B = np.array([[-1.125, 0.25, 0.25, 0.625, 0.], |
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38 [0.25, -0.5, 0.5, -0.25, 0.], |
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39 [0.25, 0.5, -0.5, -0.25, 0.], |
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40 [0.625, -0.25, -0.25, -0.125, 0.], |
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41 [0., 0., 0., 0., 0.]]) |
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42 # fmt: on |
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43 |
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44 permutation = [4, 0, 1, 2, 3] |
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45 npt.assert_equal(nx.modularity_matrix(self.G), B) |
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46 npt.assert_equal( |
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47 nx.modularity_matrix(self.G, nodelist=permutation), |
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48 B[np.ix_(permutation, permutation)], |
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49 ) |
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50 |
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51 def test_modularity_weight(self): |
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52 "Modularity matrix with weights" |
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53 # fmt: off |
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54 B = np.array([[-1.125, 0.25, 0.25, 0.625, 0.], |
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55 [0.25, -0.5, 0.5, -0.25, 0.], |
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56 [0.25, 0.5, -0.5, -0.25, 0.], |
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57 [0.625, -0.25, -0.25, -0.125, 0.], |
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58 [0., 0., 0., 0., 0.]]) |
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59 # fmt: on |
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60 |
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61 G_weighted = self.G.copy() |
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62 for n1, n2 in G_weighted.edges(): |
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63 G_weighted.edges[n1, n2]["weight"] = 0.5 |
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64 # The following test would fail in networkx 1.1 |
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65 npt.assert_equal(nx.modularity_matrix(G_weighted), B) |
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66 # The following test that the modularity matrix get rescaled accordingly |
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67 npt.assert_equal(nx.modularity_matrix(G_weighted, weight="weight"), 0.5 * B) |
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68 |
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69 def test_directed_modularity(self): |
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70 "Directed Modularity matrix" |
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71 # fmt: off |
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72 B = np.array([[-0.2, 0.6, 0.8, -0.4, -0.4, -0.4], |
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73 [0., 0., 0., 0., 0., 0.], |
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74 [0.7, 0.4, -0.3, -0.6, 0.4, -0.6], |
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75 [-0.2, -0.4, -0.2, -0.4, 0.6, 0.6], |
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76 [-0.2, -0.4, -0.2, 0.6, -0.4, 0.6], |
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77 [-0.1, -0.2, -0.1, 0.8, -0.2, -0.2]]) |
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78 # fmt: on |
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79 node_permutation = [5, 1, 2, 3, 4, 6] |
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80 idx_permutation = [4, 0, 1, 2, 3, 5] |
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81 mm = nx.directed_modularity_matrix(self.DG, nodelist=sorted(self.DG)) |
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82 npt.assert_equal(mm, B) |
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83 npt.assert_equal( |
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84 nx.directed_modularity_matrix(self.DG, nodelist=node_permutation), |
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85 B[np.ix_(idx_permutation, idx_permutation)], |
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86 ) |