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