Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/generators/tests/test_joint_degree_seq.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 time |
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2 from networkx.algorithms.assortativity import degree_mixing_dict |
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3 from networkx.generators import powerlaw_cluster_graph, gnm_random_graph |
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4 from networkx.generators.joint_degree_seq import ( |
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5 is_valid_joint_degree, |
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6 joint_degree_graph, |
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7 directed_joint_degree_graph, |
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8 is_valid_directed_joint_degree, |
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9 ) |
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10 |
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11 |
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12 def test_is_valid_joint_degree(): |
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13 """ Tests for conditions that invalidate a joint degree dict """ |
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14 |
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15 # valid joint degree that satisfies all five conditions |
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16 joint_degrees = { |
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17 1: {4: 1}, |
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18 2: {2: 2, 3: 2, 4: 2}, |
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19 3: {2: 2, 4: 1}, |
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20 4: {1: 1, 2: 2, 3: 1}, |
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21 } |
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22 assert is_valid_joint_degree(joint_degrees) |
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23 |
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24 # test condition 1 |
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25 # joint_degrees_1[1][4] not integer |
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26 joint_degrees_1 = { |
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27 1: {4: 1.5}, |
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28 2: {2: 2, 3: 2, 4: 2}, |
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29 3: {2: 2, 4: 1}, |
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30 4: {1: 1.5, 2: 2, 3: 1}, |
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31 } |
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32 assert not is_valid_joint_degree(joint_degrees_1) |
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33 |
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34 # test condition 2 |
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35 # degree_count[2] = sum(joint_degrees_2[2][j)/2, is not an int |
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36 # degree_count[4] = sum(joint_degrees_2[4][j)/4, is not an int |
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37 joint_degrees_2 = { |
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38 1: {4: 1}, |
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39 2: {2: 2, 3: 2, 4: 3}, |
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40 3: {2: 2, 4: 1}, |
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41 4: {1: 1, 2: 3, 3: 1}, |
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42 } |
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43 assert not is_valid_joint_degree(joint_degrees_2) |
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44 |
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45 # test conditions 3 and 4 |
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46 # joint_degrees_3[1][4]>degree_count[1]*degree_count[4] |
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47 joint_degrees_3 = { |
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48 1: {4: 2}, |
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49 2: {2: 2, 3: 2, 4: 2}, |
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50 3: {2: 2, 4: 1}, |
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51 4: {1: 2, 2: 2, 3: 1}, |
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52 } |
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53 assert not is_valid_joint_degree(joint_degrees_3) |
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54 |
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55 # test condition 5 |
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56 # joint_degrees_5[1][1] not even |
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57 joint_degrees_5 = {1: {1: 9}} |
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58 assert not is_valid_joint_degree(joint_degrees_5) |
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59 |
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60 |
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61 def test_joint_degree_graph(ntimes=10): |
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62 for _ in range(ntimes): |
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63 seed = int(time.time()) |
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64 |
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65 n, m, p = 20, 10, 1 |
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66 # generate random graph with model powerlaw_cluster and calculate |
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67 # its joint degree |
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68 g = powerlaw_cluster_graph(n, m, p, seed=seed) |
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69 joint_degrees_g = degree_mixing_dict(g, normalized=False) |
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70 |
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71 # generate simple undirected graph with given joint degree |
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72 # joint_degrees_g |
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73 G = joint_degree_graph(joint_degrees_g) |
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74 joint_degrees_G = degree_mixing_dict(G, normalized=False) |
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75 |
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76 # assert that the given joint degree is equal to the generated |
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77 # graph's joint degree |
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78 assert joint_degrees_g == joint_degrees_G |
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79 |
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80 |
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81 def test_is_valid_directed_joint_degree(): |
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82 |
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83 in_degrees = [0, 1, 1, 2] |
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84 out_degrees = [1, 1, 1, 1] |
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85 nkk = {1: {1: 2, 2: 2}} |
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86 assert is_valid_directed_joint_degree(in_degrees, out_degrees, nkk) |
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87 |
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88 # not realizable, values are not integers. |
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89 nkk = {1: {1: 1.5, 2: 2.5}} |
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90 assert not is_valid_directed_joint_degree(in_degrees, out_degrees, nkk) |
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91 |
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92 # not realizable, number of edges between 1-2 are insufficient. |
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93 nkk = {1: {1: 2, 2: 1}} |
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94 assert not is_valid_directed_joint_degree(in_degrees, out_degrees, nkk) |
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95 |
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96 # not realizable, in/out degree sequences have different number of nodes. |
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97 out_degrees = [1, 1, 1] |
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98 nkk = {1: {1: 2, 2: 2}} |
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99 assert not is_valid_directed_joint_degree(in_degrees, out_degrees, nkk) |
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100 |
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101 # not realizable, degree seqeunces have fewer than required nodes. |
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102 in_degrees = [0, 1, 2] |
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103 assert not is_valid_directed_joint_degree(in_degrees, out_degrees, nkk) |
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104 |
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105 |
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106 def test_directed_joint_degree_graph(n=15, m=100, ntimes=1000): |
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107 for _ in range(ntimes): |
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108 |
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109 # generate gnm random graph and calculate its joint degree. |
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110 g = gnm_random_graph(n, m, None, directed=True) |
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111 |
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112 # in-degree seqeunce of g as a list of integers. |
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113 in_degrees = list(dict(g.in_degree()).values()) |
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114 # out-degree sequence of g as a list of integers. |
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115 out_degrees = list(dict(g.out_degree()).values()) |
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116 nkk = degree_mixing_dict(g) |
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117 |
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118 # generate simple directed graph with given degree sequence and joint |
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119 # degree matrix. |
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120 G = directed_joint_degree_graph(in_degrees, out_degrees, nkk) |
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121 |
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122 # assert degree sequence correctness. |
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123 assert in_degrees == list(dict(G.in_degree()).values()) |
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124 assert out_degrees == list(dict(G.out_degree()).values()) |
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125 # assert joint degree matrix correctness. |
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126 assert nkk == degree_mixing_dict(G) |