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networkx / classes / graphviews.py
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#    Copyright (C) 2004-2018 by
#    Aric Hagberg <hagberg@lanl.gov>
#    Dan Schult <dschult@colgate.edu>
#    Pieter Swart <swart@lanl.gov>
#    All rights reserved.
#    BSD license.
#
# Author:  Aric Hagberg (hagberg@lanl.gov),
#          Pieter Swart (swart@lanl.gov),
#          Dan Schult(dschult@colgate.edu)
"""View of Graphs as SubGraph, Reverse, Directed, Undirected.

In some algorithms it is convenient to temporarily morph
a graph to exclude some nodes or edges. It should be better
to do that via a view than to remove and then re-add.

In other algorithms it is convenient to temporarily morph
a graph to reverse directed edges, or treat a directed graph
as undirected, etc. This module provides those graph views.

The resulting views are essentially read-only graphs that
report data from the orginal graph object. We provide three
attributes related to the underlying graph object.

    G._graph : the parent graph used for looking up graph data.
    G.root_graph : the root graph of the potential chain of views.
        For example, if you have a subgraph of a reversed view of
        an edge_subgraph of a graph, this points to original graph.
    G.fresh_copy() : a method to return a null copy of the graph
        represented by the view. This is useful if you want to
        create a graph with the same data structure (directed/multi)
        as the current view. This is similar to G.root_graph.__class__()
        but reflects the fact that (Un)DirectedView could make the
        type of data structure different from the root_graph.

Note: Since graphviews look like graphs, one can end up with
view-of-view-of-view chains. Be careful with chains because
they become very slow with about 15 nested views.
For the common simple case of node induced subgraphs created
from the graph class, we short-cut the chain by returning a
subgraph of the original graph directly rather than a subgraph
of a subgraph. We are careful not to disrupt any edge filter in
the middle subgraph. In general, determining how to short-cut
the chain is tricky and much harder with restricted_views than
with induced subgraphs.
Often it is easiest to use `.copy()` to avoid chains.
"""
from collections import Mapping

from networkx.classes import Graph, DiGraph, MultiGraph, MultiDiGraph
from networkx.classes.coreviews import ReadOnlyGraph, \
    AtlasView, AdjacencyView, MultiAdjacencyView, \
    FilterAtlas, FilterAdjacency, FilterMultiAdjacency, \
    UnionAdjacency, UnionMultiAdjacency
from networkx.classes.filters import no_filter, show_nodes, show_edges
from networkx.exception import NetworkXError, NetworkXNotImplemented
from networkx.utils import not_implemented_for


__all__ = ['SubGraph', 'SubDiGraph', 'SubMultiGraph', 'SubMultiDiGraph',
           'ReverseView', 'MultiReverseView',
           'DiGraphView', 'MultiDiGraphView',
           'GraphView', 'MultiGraphView',
           ]


class SubGraph(ReadOnlyGraph, Graph):
    def __init__(self, graph, filter_node=no_filter, filter_edge=no_filter):
        self._graph = graph
        self.root_graph = graph.root_graph
        self._NODE_OK = filter_node
        self._EDGE_OK = filter_edge

        # Set graph interface
        self.graph = graph.graph
        self._node = FilterAtlas(graph._node, filter_node)
        self._adj = FilterAdjacency(graph._adj, filter_node, filter_edge)


class SubDiGraph(ReadOnlyGraph, DiGraph):
    def __init__(self, graph, filter_node=no_filter, filter_edge=no_filter):
        self._graph = graph
        self.root_graph = graph
        while hasattr(self.root_graph, '_graph'):
            self.root_graph = self.root_graph._graph
        self._NODE_OK = filter_node
        self._EDGE_OK = filter_edge

        # Set graph interface
        self.graph = graph.graph
        self._node = FilterAtlas(graph._node, filter_node)
        self._adj = FilterAdjacency(graph._adj, filter_node, filter_edge)
        self._pred = FilterAdjacency(graph._pred, filter_node,
                                     lambda u, v: filter_edge(v, u))
        self._succ = self._adj


class SubMultiGraph(ReadOnlyGraph, MultiGraph):
    def __init__(self, graph, filter_node=no_filter, filter_edge=no_filter):
        self._graph = graph
        self.root_graph = graph
        while hasattr(self.root_graph, '_graph'):
            self.root_graph = self.root_graph._graph
        self._NODE_OK = filter_node
        self._EDGE_OK = filter_edge

        # Set graph interface
        self.graph = graph.graph
        self._node = FilterAtlas(graph._node, filter_node)
        self._adj = FilterMultiAdjacency(graph._adj, filter_node, filter_edge)


class SubMultiDiGraph(ReadOnlyGraph, MultiDiGraph):
    def __init__(self, graph, filter_node=no_filter, filter_edge=no_filter):
        self._graph = graph
        self.root_graph = graph
        while hasattr(self.root_graph, '_graph'):
            self.root_graph = self.root_graph._graph
        self._NODE_OK = filter_node
        self._EDGE_OK = filter_edge

        # Set graph interface
        self.graph = graph.graph
        self._node = FilterAtlas(graph._node, filter_node)
        FMA = FilterMultiAdjacency
        self._adj = FMA(graph._adj, filter_node, filter_edge)
        self._pred = FMA(graph._pred, filter_node,
                         lambda u, v, k: filter_edge(v, u, k))
        self._succ = self._adj


class ReverseView(ReadOnlyGraph, DiGraph):
    def __init__(self, graph):
        if not graph.is_directed():
            msg = "not implemented for undirected type"
            raise NetworkXNotImplemented(msg)

        self._graph = graph
        self.root_graph = graph
        while hasattr(self.root_graph, '_graph'):
            self.root_graph = self.root_graph._graph
        # Set graph interface
        self.graph = graph.graph
        self._node = graph._node
        self._adj = graph._pred
        self._pred = graph._succ
        self._succ = self._adj


class MultiReverseView(ReadOnlyGraph, MultiDiGraph):
    def __init__(self, graph):
        if not graph.is_directed():
            msg = "not implemented for undirected type"
            raise NetworkXNotImplemented(msg)

        self._graph = graph
        self.root_graph = graph
        while hasattr(self.root_graph, '_graph'):
            self.root_graph = self.root_graph._graph
        # Set graph interface
        self.graph = graph.graph
        self._node = graph._node
        self._adj = graph._pred
        self._pred = graph._succ
        self._succ = self._adj


class DiGraphView(ReadOnlyGraph, DiGraph):
    def __init__(self, graph):
        if graph.is_multigraph():
            msg = 'Wrong View class. Use MultiDiGraphView.'
            raise NetworkXError(msg)
        self._graph = graph
        self.root_graph = graph
        while hasattr(self.root_graph, '_graph'):
            self.root_graph = self.root_graph._graph
        self.graph = graph.graph
        self._node = graph._node
        if graph.is_directed():
            self._pred = graph._pred
            self._succ = graph._succ
        else:
            self._pred = graph._adj
            self._succ = graph._adj
        self._adj = self._succ


class MultiDiGraphView(ReadOnlyGraph, MultiDiGraph):
    def __init__(self, graph):
        if not graph.is_multigraph():
            msg = 'Wrong View class. Use DiGraphView.'
            raise NetworkXError(msg)
        self._graph = graph
        self.root_graph = graph
        while hasattr(self.root_graph, '_graph'):
            self.root_graph = self.root_graph._graph
        self.graph = graph.graph
        self._node = graph._node
        if graph.is_directed():
            self._pred = graph._pred
            self._succ = graph._succ
        else:
            self._pred = graph._adj
            self._succ = graph._adj
        self._adj = self._succ


class GraphView(ReadOnlyGraph, Graph):
    UnionAdj = UnionAdjacency

    def __init__(self, graph):
        if graph.is_multigraph():
            msg = 'Wrong View class. Use MultiGraphView.'
            raise NetworkXError(msg)
        self._graph = graph
        self.root_graph = graph
        while hasattr(self.root_graph, '_graph'):
            self.root_graph = self.root_graph._graph
        self.graph = graph.graph
        self._node = graph._node
        if graph.is_directed():
            self._adj = self.UnionAdj(graph._succ, graph._pred)
        else:
            self._adj = graph._adj


class MultiGraphView(ReadOnlyGraph, MultiGraph):
    UnionAdj = UnionMultiAdjacency

    def __init__(self, graph):
        if not graph.is_multigraph():
            msg = 'Wrong View class. Use GraphView.'
            raise NetworkXError(msg)
        self._graph = graph
        self.root_graph = graph
        while hasattr(self.root_graph, '_graph'):
            self.root_graph = self.root_graph._graph
        self.graph = graph.graph
        self._node = graph._node
        if graph.is_directed():
            self._adj = self.UnionAdj(graph._succ, graph._pred)
        else:
            self._adj = graph._adj