Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/traversal/edgebfs.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 """ |
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2 ============================= |
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3 Breadth First Search on Edges |
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4 ============================= |
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5 |
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6 Algorithms for a breadth-first traversal of edges in a graph. |
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7 |
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8 """ |
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9 from collections import deque |
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10 import networkx as nx |
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11 |
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12 FORWARD = "forward" |
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13 REVERSE = "reverse" |
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14 |
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15 __all__ = ["edge_bfs"] |
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16 |
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17 |
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18 def edge_bfs(G, source=None, orientation=None): |
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19 """A directed, breadth-first-search of edges in `G`, beginning at `source`. |
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20 |
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21 Yield the edges of G in a breadth-first-search order continuing until |
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22 all edges are generated. |
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23 |
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24 Parameters |
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25 ---------- |
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26 G : graph |
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27 A directed/undirected graph/multigraph. |
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28 |
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29 source : node, list of nodes |
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30 The node from which the traversal begins. If None, then a source |
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31 is chosen arbitrarily and repeatedly until all edges from each node in |
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32 the graph are searched. |
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33 |
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34 orientation : None | 'original' | 'reverse' | 'ignore' (default: None) |
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35 For directed graphs and directed multigraphs, edge traversals need not |
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36 respect the original orientation of the edges. |
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37 When set to 'reverse' every edge is traversed in the reverse direction. |
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38 When set to 'ignore', every edge is treated as undirected. |
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39 When set to 'original', every edge is treated as directed. |
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40 In all three cases, the yielded edge tuples add a last entry to |
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41 indicate the direction in which that edge was traversed. |
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42 If orientation is None, the yielded edge has no direction indicated. |
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43 The direction is respected, but not reported. |
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44 |
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45 Yields |
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46 ------ |
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47 edge : directed edge |
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48 A directed edge indicating the path taken by the breadth-first-search. |
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49 For graphs, `edge` is of the form `(u, v)` where `u` and `v` |
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50 are the tail and head of the edge as determined by the traversal. |
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51 For multigraphs, `edge` is of the form `(u, v, key)`, where `key` is |
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52 the key of the edge. When the graph is directed, then `u` and `v` |
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53 are always in the order of the actual directed edge. |
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54 If orientation is not None then the edge tuple is extended to include |
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55 the direction of traversal ('forward' or 'reverse') on that edge. |
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56 |
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57 Examples |
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58 -------- |
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59 >>> nodes = [0, 1, 2, 3] |
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60 >>> edges = [(0, 1), (1, 0), (1, 0), (2, 0), (2, 1), (3, 1)] |
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61 |
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62 >>> list(nx.edge_bfs(nx.Graph(edges), nodes)) |
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63 [(0, 1), (0, 2), (1, 2), (1, 3)] |
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64 |
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65 >>> list(nx.edge_bfs(nx.DiGraph(edges), nodes)) |
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66 [(0, 1), (1, 0), (2, 0), (2, 1), (3, 1)] |
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67 |
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68 >>> list(nx.edge_bfs(nx.MultiGraph(edges), nodes)) |
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69 [(0, 1, 0), (0, 1, 1), (0, 1, 2), (0, 2, 0), (1, 2, 0), (1, 3, 0)] |
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70 |
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71 >>> list(nx.edge_bfs(nx.MultiDiGraph(edges), nodes)) |
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72 [(0, 1, 0), (1, 0, 0), (1, 0, 1), (2, 0, 0), (2, 1, 0), (3, 1, 0)] |
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73 |
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74 >>> list(nx.edge_bfs(nx.DiGraph(edges), nodes, orientation="ignore")) |
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75 [(0, 1, 'forward'), (1, 0, 'reverse'), (2, 0, 'reverse'), (2, 1, 'reverse'), (3, 1, 'reverse')] |
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76 |
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77 >>> list(nx.edge_bfs(nx.MultiDiGraph(edges), nodes, orientation="ignore")) |
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78 [(0, 1, 0, 'forward'), (1, 0, 0, 'reverse'), (1, 0, 1, 'reverse'), (2, 0, 0, 'reverse'), (2, 1, 0, 'reverse'), (3, 1, 0, 'reverse')] |
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79 |
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80 Notes |
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81 ----- |
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82 The goal of this function is to visit edges. It differs from the more |
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83 familiar breadth-first-search of nodes, as provided by |
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84 :func:`networkx.algorithms.traversal.breadth_first_search.bfs_edges`, in |
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85 that it does not stop once every node has been visited. In a directed graph |
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86 with edges [(0, 1), (1, 2), (2, 1)], the edge (2, 1) would not be visited |
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87 if not for the functionality provided by this function. |
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88 |
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89 The naming of this function is very similar to bfs_edges. The difference |
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90 is that 'edge_bfs' yields edges even if they extend back to an already |
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91 explored node while 'bfs_edges' yields the edges of the tree that results |
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92 from a breadth-first-search (BFS) so no edges are reported if they extend |
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93 to already explored nodes. That means 'edge_bfs' reports all edges while |
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94 'bfs_edges' only report those traversed by a node-based BFS. Yet another |
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95 description is that 'bfs_edges' reports the edges traversed during BFS |
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96 while 'edge_bfs' reports all edges in the order they are explored. |
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97 |
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98 See Also |
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99 -------- |
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100 bfs_edges |
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101 bfs_tree |
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102 edge_dfs |
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103 |
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104 """ |
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105 nodes = list(G.nbunch_iter(source)) |
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106 if not nodes: |
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107 return |
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108 |
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109 directed = G.is_directed() |
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110 kwds = {"data": False} |
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111 if G.is_multigraph() is True: |
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112 kwds["keys"] = True |
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113 |
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114 # set up edge lookup |
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115 if orientation is None: |
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116 |
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117 def edges_from(node): |
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118 return iter(G.edges(node, **kwds)) |
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119 |
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120 elif not directed or orientation == "original": |
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121 |
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122 def edges_from(node): |
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123 for e in G.edges(node, **kwds): |
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124 yield e + (FORWARD,) |
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125 |
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126 elif orientation == "reverse": |
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127 |
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128 def edges_from(node): |
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129 for e in G.in_edges(node, **kwds): |
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130 yield e + (REVERSE,) |
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131 |
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132 elif orientation == "ignore": |
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133 |
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134 def edges_from(node): |
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135 for e in G.edges(node, **kwds): |
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136 yield e + (FORWARD,) |
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137 for e in G.in_edges(node, **kwds): |
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138 yield e + (REVERSE,) |
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139 |
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140 else: |
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141 raise nx.NetworkXError("invalid orientation argument.") |
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142 |
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143 if directed: |
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144 neighbors = G.successors |
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145 |
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146 def edge_id(edge): |
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147 # remove direction indicator |
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148 return edge[:-1] if orientation is not None else edge |
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149 |
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150 else: |
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151 neighbors = G.neighbors |
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152 |
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153 def edge_id(edge): |
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154 return (frozenset(edge[:2]),) + edge[2:] |
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155 |
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156 check_reverse = directed and orientation in ("reverse", "ignore") |
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157 |
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158 # start BFS |
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159 visited_nodes = {n for n in nodes} |
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160 visited_edges = set() |
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161 queue = deque([(n, edges_from(n)) for n in nodes]) |
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162 while queue: |
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163 parent, children_edges = queue.popleft() |
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164 for edge in children_edges: |
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165 if check_reverse and edge[-1] == REVERSE: |
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166 child = edge[0] |
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167 else: |
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168 child = edge[1] |
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169 if child not in visited_nodes: |
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170 visited_nodes.add(child) |
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171 queue.append((child, edges_from(child))) |
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172 edgeid = edge_id(edge) |
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173 if edgeid not in visited_edges: |
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174 visited_edges.add(edgeid) |
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175 yield edge |