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- """
- Text-based visual representations of graphs
- """
- import sys
- import warnings
- from collections import defaultdict
- import networkx as nx
- from networkx.utils import open_file
- __all__ = ["forest_str", "generate_network_text", "write_network_text"]
- class _AsciiBaseGlyphs:
- empty = "+"
- newtree_last = "+-- "
- newtree_mid = "+-- "
- endof_forest = " "
- within_forest = ": "
- within_tree = "| "
- class AsciiDirectedGlyphs(_AsciiBaseGlyphs):
- last = "L-> "
- mid = "|-> "
- backedge = "<-"
- class AsciiUndirectedGlyphs(_AsciiBaseGlyphs):
- last = "L-- "
- mid = "|-- "
- backedge = "-"
- class _UtfBaseGlyphs:
- # Notes on available box and arrow characters
- # https://en.wikipedia.org/wiki/Box-drawing_character
- # https://stackoverflow.com/questions/2701192/triangle-arrow
- empty = "╙"
- newtree_last = "╙── "
- newtree_mid = "╟── "
- endof_forest = " "
- within_forest = "╎ "
- within_tree = "│ "
- class UtfDirectedGlyphs(_UtfBaseGlyphs):
- last = "└─╼ "
- mid = "├─╼ "
- backedge = "╾"
- class UtfUndirectedGlyphs(_UtfBaseGlyphs):
- last = "└── "
- mid = "├── "
- backedge = "─"
- def generate_network_text(
- graph, with_labels=True, sources=None, max_depth=None, ascii_only=False
- ):
- """Generate lines in the "network text" format
- This works via a depth-first traversal of the graph and writing a line for
- each unique node encountered. Non-tree edges are written to the right of
- each node, and connection to a non-tree edge is indicated with an ellipsis.
- This representation works best when the input graph is a forest, but any
- graph can be represented.
- This notation is original to networkx, although it is simple enough that it
- may be known in existing literature. See #5602 for details. The procedure
- is summarized as follows:
- 1. Given a set of source nodes (which can be specified, or automatically
- discovered via finding the (strongly) connected components and choosing one
- node with minimum degree from each), we traverse the graph in depth first
- order.
- 2. Each reachable node will be printed exactly once on it's own line.
- 3. Edges are indicated in one of three ways:
- a. a parent "L-style" connection on the upper left. This corresponds to
- a traversal in the directed DFS tree.
- b. a backref "<-style" connection shown directly on the right. For
- directed graphs, these are drawn for any incoming edges to a node that
- is not a parent edge. For undirected graphs, these are drawn for only
- the non-parent edges that have already been represented (The edges that
- have not been represented will be handled in the recursive case).
- c. a child "L-style" connection on the lower right. Drawing of the
- children are handled recursively.
- 4. The children of each node (wrt the directed DFS tree) are drawn
- underneath and to the right of it. In the case that a child node has already
- been drawn the connection is replaced with an ellipsis ("...") to indicate
- that there is one or more connections represented elsewhere.
- 5. If a maximum depth is specified, an edge to nodes past this maximum
- depth will be represented by an ellipsis.
- Parameters
- ----------
- graph : nx.DiGraph | nx.Graph
- Graph to represent
- with_labels : bool | str
- If True will use the "label" attribute of a node to display if it
- exists otherwise it will use the node value itself. If given as a
- string, then that attribute name will be used instead of "label".
- Defaults to True.
- sources : List
- Specifies which nodes to start traversal from. Note: nodes that are not
- reachable from one of these sources may not be shown. If unspecified,
- the minimal set of nodes needed to reach all others will be used.
- max_depth : int | None
- The maximum depth to traverse before stopping. Defaults to None.
- ascii_only : Boolean
- If True only ASCII characters are used to construct the visualization
- Yields
- ------
- str : a line of generated text
- """
- is_directed = graph.is_directed()
- if is_directed:
- glyphs = AsciiDirectedGlyphs if ascii_only else UtfDirectedGlyphs
- succ = graph.succ
- pred = graph.pred
- else:
- glyphs = AsciiUndirectedGlyphs if ascii_only else UtfUndirectedGlyphs
- succ = graph.adj
- pred = graph.adj
- if isinstance(with_labels, str):
- label_attr = with_labels
- elif with_labels:
- label_attr = "label"
- else:
- label_attr = None
- if max_depth == 0:
- yield glyphs.empty + " ..."
- elif len(graph.nodes) == 0:
- yield glyphs.empty
- else:
- # If the nodes to traverse are unspecified, find the minimal set of
- # nodes that will reach the entire graph
- if sources is None:
- sources = _find_sources(graph)
- # Populate the stack with each:
- # 1. parent node in the DFS tree (or None for root nodes),
- # 2. the current node in the DFS tree
- # 2. a list of indentations indicating depth
- # 3. a flag indicating if the node is the final one to be written.
- # Reverse the stack so sources are popped in the correct order.
- last_idx = len(sources) - 1
- stack = [
- (None, node, [], (idx == last_idx)) for idx, node in enumerate(sources)
- ][::-1]
- num_skipped_children = defaultdict(lambda: 0)
- seen_nodes = set()
- while stack:
- parent, node, indents, this_islast = stack.pop()
- if node is not Ellipsis:
- skip = node in seen_nodes
- if skip:
- # Mark that we skipped a parent's child
- num_skipped_children[parent] += 1
- if this_islast:
- # If we reached the last child of a parent, and we skipped
- # any of that parents children, then we should emit an
- # ellipsis at the end after this.
- if num_skipped_children[parent] and parent is not None:
- # Append the ellipsis to be emitted last
- next_islast = True
- try_frame = (node, Ellipsis, indents, next_islast)
- stack.append(try_frame)
- # Redo this frame, but not as a last object
- next_islast = False
- try_frame = (parent, node, indents, next_islast)
- stack.append(try_frame)
- continue
- if skip:
- continue
- seen_nodes.add(node)
- if not indents:
- # Top level items (i.e. trees in the forest) get different
- # glyphs to indicate they are not actually connected
- if this_islast:
- this_prefix = indents + [glyphs.newtree_last]
- next_prefix = indents + [glyphs.endof_forest]
- else:
- this_prefix = indents + [glyphs.newtree_mid]
- next_prefix = indents + [glyphs.within_forest]
- else:
- # For individual tree edges distinguish between directed and
- # undirected cases
- if this_islast:
- this_prefix = indents + [glyphs.last]
- next_prefix = indents + [glyphs.endof_forest]
- else:
- this_prefix = indents + [glyphs.mid]
- next_prefix = indents + [glyphs.within_tree]
- if node is Ellipsis:
- label = " ..."
- suffix = ""
- children = []
- else:
- if label_attr is not None:
- label = str(graph.nodes[node].get(label_attr, node))
- else:
- label = str(node)
- # Determine:
- # (1) children to traverse into after showing this node.
- # (2) parents to immediately show to the right of this node.
- if is_directed:
- # In the directed case we must show every successor node
- # note: it may be skipped later, but we don't have that
- # information here.
- children = list(succ[node])
- # In the directed case we must show every predecessor
- # except for parent we directly traversed from.
- handled_parents = {parent}
- else:
- # Showing only the unseen children results in a more
- # concise representation for the undirected case.
- children = [
- child for child in succ[node] if child not in seen_nodes
- ]
- # In the undirected case, parents are also children, so we
- # only need to immediately show the ones we can no longer
- # traverse
- handled_parents = {*children, parent}
- if max_depth is not None and len(indents) == max_depth - 1:
- # Use ellipsis to indicate we have reached maximum depth
- if children:
- children = [Ellipsis]
- handled_parents = {parent}
- # The other parents are other predecessors of this node that
- # are not handled elsewhere.
- other_parents = [p for p in pred[node] if p not in handled_parents]
- if other_parents:
- if label_attr is not None:
- other_parents_labels = ", ".join(
- [
- str(graph.nodes[p].get(label_attr, p))
- for p in other_parents
- ]
- )
- else:
- other_parents_labels = ", ".join(
- [str(p) for p in other_parents]
- )
- suffix = " ".join(["", glyphs.backedge, other_parents_labels])
- else:
- suffix = ""
- # Emit the line for this node, this will be called for each node
- # exactly once.
- yield "".join(this_prefix + [label, suffix])
- # Push children on the stack in reverse order so they are popped in
- # the original order.
- for idx, child in enumerate(children[::-1]):
- next_islast = idx == 0
- try_frame = (node, child, next_prefix, next_islast)
- stack.append(try_frame)
- @open_file(1, "w")
- def write_network_text(
- graph,
- path=None,
- with_labels=True,
- sources=None,
- max_depth=None,
- ascii_only=False,
- end="\n",
- ):
- """Creates a nice text representation of a graph
- This works via a depth-first traversal of the graph and writing a line for
- each unique node encountered. Non-tree edges are written to the right of
- each node, and connection to a non-tree edge is indicated with an ellipsis.
- This representation works best when the input graph is a forest, but any
- graph can be represented.
- Parameters
- ----------
- graph : nx.DiGraph | nx.Graph
- Graph to represent
- path : string or file or callable or None
- Filename or file handle for data output.
- if a function, then it will be called for each generated line.
- if None, this will default to "sys.stdout.write"
- with_labels : bool | str
- If True will use the "label" attribute of a node to display if it
- exists otherwise it will use the node value itself. If given as a
- string, then that attribute name will be used instead of "label".
- Defaults to True.
- sources : List
- Specifies which nodes to start traversal from. Note: nodes that are not
- reachable from one of these sources may not be shown. If unspecified,
- the minimal set of nodes needed to reach all others will be used.
- max_depth : int | None
- The maximum depth to traverse before stopping. Defaults to None.
- ascii_only : Boolean
- If True only ASCII characters are used to construct the visualization
- end : string
- The line ending character
- Examples
- --------
- >>> graph = nx.balanced_tree(r=2, h=2, create_using=nx.DiGraph)
- >>> nx.write_network_text(graph)
- ╙── 0
- ├─╼ 1
- │ ├─╼ 3
- │ └─╼ 4
- └─╼ 2
- ├─╼ 5
- └─╼ 6
- >>> # A near tree with one non-tree edge
- >>> graph.add_edge(5, 1)
- >>> nx.write_network_text(graph)
- ╙── 0
- ├─╼ 1 ╾ 5
- │ ├─╼ 3
- │ └─╼ 4
- └─╼ 2
- ├─╼ 5
- │ └─╼ ...
- └─╼ 6
- >>> graph = nx.cycle_graph(5)
- >>> nx.write_network_text(graph)
- ╙── 0
- ├── 1
- │ └── 2
- │ └── 3
- │ └── 4 ─ 0
- └── ...
- >>> graph = nx.generators.barbell_graph(4, 2)
- >>> nx.write_network_text(graph)
- ╙── 4
- ├── 5
- │ └── 6
- │ ├── 7
- │ │ ├── 8 ─ 6
- │ │ │ └── 9 ─ 6, 7
- │ │ └── ...
- │ └── ...
- └── 3
- ├── 0
- │ ├── 1 ─ 3
- │ │ └── 2 ─ 0, 3
- │ └── ...
- └── ...
- >>> graph = nx.complete_graph(5, create_using=nx.Graph)
- >>> nx.write_network_text(graph)
- ╙── 0
- ├── 1
- │ ├── 2 ─ 0
- │ │ ├── 3 ─ 0, 1
- │ │ │ └── 4 ─ 0, 1, 2
- │ │ └── ...
- │ └── ...
- └── ...
- >>> graph = nx.complete_graph(3, create_using=nx.DiGraph)
- >>> nx.write_network_text(graph)
- ╙── 0 ╾ 1, 2
- ├─╼ 1 ╾ 2
- │ ├─╼ 2 ╾ 0
- │ │ └─╼ ...
- │ └─╼ ...
- └─╼ ...
- """
- if path is None:
- # The path is unspecified, write to stdout
- _write = sys.stdout.write
- elif hasattr(path, "write"):
- # The path is already an open file
- _write = path.write
- elif callable(path):
- # The path is a custom callable
- _write = path
- else:
- raise TypeError(type(path))
- for line in generate_network_text(
- graph,
- with_labels=with_labels,
- sources=sources,
- max_depth=max_depth,
- ascii_only=ascii_only,
- ):
- _write(line + end)
- def _find_sources(graph):
- """
- Determine a minimal set of nodes such that the entire graph is reachable
- """
- # For each connected part of the graph, choose at least
- # one node as a starting point, preferably without a parent
- if graph.is_directed():
- # Choose one node from each SCC with minimum in_degree
- sccs = list(nx.strongly_connected_components(graph))
- # condensing the SCCs forms a dag, the nodes in this graph with
- # 0 in-degree correspond to the SCCs from which the minimum set
- # of nodes from which all other nodes can be reached.
- scc_graph = nx.condensation(graph, sccs)
- supernode_to_nodes = {sn: [] for sn in scc_graph.nodes()}
- # Note: the order of mapping differs between pypy and cpython
- # so we have to loop over graph nodes for consistency
- mapping = scc_graph.graph["mapping"]
- for n in graph.nodes:
- sn = mapping[n]
- supernode_to_nodes[sn].append(n)
- sources = []
- for sn in scc_graph.nodes():
- if scc_graph.in_degree[sn] == 0:
- scc = supernode_to_nodes[sn]
- node = min(scc, key=lambda n: graph.in_degree[n])
- sources.append(node)
- else:
- # For undirected graph, the entire graph will be reachable as
- # long as we consider one node from every connected component
- sources = [
- min(cc, key=lambda n: graph.degree[n])
- for cc in nx.connected_components(graph)
- ]
- sources = sorted(sources, key=lambda n: graph.degree[n])
- return sources
- def forest_str(graph, with_labels=True, sources=None, write=None, ascii_only=False):
- """Creates a nice utf8 representation of a forest
- This function has been superseded by
- :func:`nx.readwrite.text.generate_network_text`, which should be used
- instead.
- Parameters
- ----------
- graph : nx.DiGraph | nx.Graph
- Graph to represent (must be a tree, forest, or the empty graph)
- with_labels : bool
- If True will use the "label" attribute of a node to display if it
- exists otherwise it will use the node value itself. Defaults to True.
- sources : List
- Mainly relevant for undirected forests, specifies which nodes to list
- first. If unspecified the root nodes of each tree will be used for
- directed forests; for undirected forests this defaults to the nodes
- with the smallest degree.
- write : callable
- Function to use to write to, if None new lines are appended to
- a list and returned. If set to the `print` function, lines will
- be written to stdout as they are generated. If specified,
- this function will return None. Defaults to None.
- ascii_only : Boolean
- If True only ASCII characters are used to construct the visualization
- Returns
- -------
- str | None :
- utf8 representation of the tree / forest
- Examples
- --------
- >>> graph = nx.balanced_tree(r=2, h=3, create_using=nx.DiGraph)
- >>> print(nx.forest_str(graph))
- ╙── 0
- ├─╼ 1
- │ ├─╼ 3
- │ │ ├─╼ 7
- │ │ └─╼ 8
- │ └─╼ 4
- │ ├─╼ 9
- │ └─╼ 10
- └─╼ 2
- ├─╼ 5
- │ ├─╼ 11
- │ └─╼ 12
- └─╼ 6
- ├─╼ 13
- └─╼ 14
- >>> graph = nx.balanced_tree(r=1, h=2, create_using=nx.Graph)
- >>> print(nx.forest_str(graph))
- ╙── 0
- └── 1
- └── 2
- >>> print(nx.forest_str(graph, ascii_only=True))
- +-- 0
- L-- 1
- L-- 2
- """
- msg = (
- "\nforest_str is deprecated as of version 3.1 and will be removed "
- "in version 3.3. Use generate_network_text or write_network_text "
- "instead.\n"
- )
- warnings.warn(msg, DeprecationWarning)
- if len(graph.nodes) > 0:
- if not nx.is_forest(graph):
- raise nx.NetworkXNotImplemented("input must be a forest or the empty graph")
- printbuf = []
- if write is None:
- _write = printbuf.append
- else:
- _write = write
- write_network_text(
- graph,
- _write,
- with_labels=with_labels,
- sources=sources,
- ascii_only=ascii_only,
- end="",
- )
- if write is None:
- # Only return a string if the custom write function was not specified
- return "\n".join(printbuf)
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