Added Graph::is_cyclicic_node algorithm

This commit is contained in:
Havvy 2016-11-02 02:38:36 -07:00
parent 7d91581cca
commit 9ddbb9133c
2 changed files with 82 additions and 15 deletions

View File

@ -231,14 +231,14 @@ impl<N: Debug, E: Debug> Graph<N, E> {
// # Iterating over nodes, edges
pub fn all_nodes_enumerated(&self) -> Nodes<N> {
Nodes {
pub fn enumerated_nodes(&self) -> EnumeratedNodes<N> {
EnumeratedNodes {
iter: self.nodes.iter().enumerate()
}
}
pub fn all_edges_enumerated(&self) -> Edges<E> {
Edges {
pub fn enumerated_edges(&self) -> EnumeratedEdges<E> {
EnumeratedEdges {
iter: self.edges.iter().enumerate()
}
}
@ -247,14 +247,14 @@ impl<N: Debug, E: Debug> Graph<N, E> {
where F: FnMut(NodeIndex, &'a Node<N>) -> bool
{
//! Iterates over all edges defined in the graph.
self.all_nodes_enumerated().all(|(node_idx, node)| f(node_idx, node))
self.enumerated_nodes().all(|(node_idx, node)| f(node_idx, node))
}
pub fn each_edge<'a, F>(&'a self, mut f: F) -> bool
where F: FnMut(EdgeIndex, &'a Edge<E>) -> bool
{
//! Iterates over all edges defined in the graph
self.all_edges_enumerated().all(|(edge_idx, edge)| f(edge_idx, edge))
self.enumerated_edges().all(|(edge_idx, edge)| f(edge_idx, edge))
}
pub fn outgoing_edges(&self, source: NodeIndex) -> AdjacentEdges<N, E> {
@ -295,7 +295,7 @@ impl<N: Debug, E: Debug> Graph<N, E> {
while changed {
changed = false;
iteration += 1;
for (edge_index, edge) in self.all_edges_enumerated() {
for (edge_index, edge) in self.enumerated_edges() {
changed |= op(iteration, edge_index, edge);
}
}
@ -307,17 +307,46 @@ impl<N: Debug, E: Debug> Graph<N, E> {
-> DepthFirstTraversal<'a, N, E> {
DepthFirstTraversal::with_start_node(self, start, direction)
}
/// Whether or not a node can be reached from itself.
pub fn is_node_cyclic(&self, starting_node_index: NodeIndex) -> bool {
// This is similar to depth traversal below, but we
// can't use that, because depth traversal doesn't show
// the starting node a second time.
let mut visited = BitVector::new(self.len_nodes());
let mut stack = vec![starting_node_index];
while let Some(current_node_index) = stack.pop() {
visited.insert(current_node_index.0);
// Directionality doesn't change the answer,
// so just use outgoing edges.
for (_, edge) in self.outgoing_edges(current_node_index) {
let target_node_index = edge.target();
if target_node_index == starting_node_index {
return true;
}
if !visited.contains(target_node_index.0) {
stack.push(target_node_index);
}
}
}
false
}
}
// # Iterators
pub struct Nodes<'g, N>
pub struct EnumeratedNodes<'g, N>
where N: 'g,
{
iter: ::std::iter::Enumerate<::std::slice::Iter<'g, Node<N>>>
}
impl<'g, N: Debug> Iterator for Nodes<'g, N> {
impl<'g, N: Debug> Iterator for EnumeratedNodes<'g, N> {
type Item = (NodeIndex, &'g Node<N>);
fn next(&mut self) -> Option<(NodeIndex, &'g Node<N>)> {
@ -325,13 +354,13 @@ impl<'g, N: Debug> Iterator for Nodes<'g, N> {
}
}
pub struct Edges<'g, E>
pub struct EnumeratedEdges<'g, E>
where E: 'g,
{
iter: ::std::iter::Enumerate<::std::slice::Iter<'g, Edge<E>>>
}
impl<'g, E: Debug> Iterator for Edges<'g, E> {
impl<'g, E: Debug> Iterator for EnumeratedEdges<'g, E> {
type Item = (EdgeIndex, &'g Edge<E>);
fn next(&mut self) -> Option<(EdgeIndex, &'g Edge<E>)> {

View File

@ -20,10 +20,13 @@ fn create_graph() -> TestGraph {
// Create a simple graph
//
// A -+> B --> C
// | | ^
// | v |
// F D --> E
// F
// |
// V
// A --> B --> C
// | ^
// v |
// D --> E
let a = graph.add_node("A");
let b = graph.add_node("B");
@ -42,6 +45,29 @@ fn create_graph() -> TestGraph {
return graph;
}
fn create_graph_with_cycle() -> TestGraph {
let mut graph = Graph::new();
// Create a graph with a cycle.
//
// A --> B <-- +
// | |
// v |
// C --> D
let a = graph.add_node("A");
let b = graph.add_node("B");
let c = graph.add_node("C");
let d = graph.add_node("D");
graph.add_edge(a, b, "AB");
graph.add_edge(b, c, "BC");
graph.add_edge(c, d, "CD");
graph.add_edge(d, b, "DB");
return graph;
}
#[test]
fn each_node() {
let graph = create_graph();
@ -139,3 +165,15 @@ fn each_adjacent_from_d() {
let graph = create_graph();
test_adjacent_edges(&graph, NodeIndex(3), "D", &[("BD", "B")], &[("DE", "E")]);
}
#[test]
fn is_node_cyclic_a() {
let graph = create_graph_with_cycle();
assert!(!graph.is_node_cyclic(NodeIndex(0)));
}
#[test]
fn is_node_cyclic_b() {
let graph = create_graph_with_cycle();
assert!(graph.is_node_cyclic(NodeIndex(1)));
}