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+#![warn(missing_docs)]
+//! This crate implements a trait API for graphs that the crate "rep"
+//! needs.
+//!
+//! Also a default implementation for the trait is provided, so that
+//! by default no external crates are needed, whereas it is easy to
+//! use external crates, if so derired.
+
+use std::hash::Hash;
+
+pub mod error;
+
+pub mod adset;
+
+pub use adset::ASGraph;
+
+pub mod adlist;
+
+pub use adlist::ALGraph;
+
+pub mod labelled;
+
+pub use labelled::DLGraph;
+
+use error::Error;
+
+/// The expected behaviour of an immutable graph.
+pub trait Graph: Default {
+ /// A type that iterates through the node indices.
+ type Iter<'a>: Iterator<Item = usize> + 'a
+ where
+ Self: 'a;
+
+ /// Return true if and only if the graph has no nodes.
+ fn is_empty(&self) -> bool;
+
+ /// Return the length of nodes in the graph.
+ fn nodes_len(&self) -> usize;
+
+ #[inline]
+ /// Return the length of edges in the graph.
+ ///
+ /// This is optional. Implementations need not support this.
+ fn edges_len(&self) -> Option<usize> {
+ None
+ }
+
+ #[inline]
+ /// Return an iterator of nodes represented as unsigned integers.
+ ///
+ /// If a custom application needs to have labels on nodes, just
+ /// associate the label to the node internally, and define an
+ /// extension trait that allows querying those additional labels.
+ ///
+ /// This design choice is based on the idea that this library
+ /// should be minimal and only provide the core of a graph. As a
+ /// label is not really core, it is not included here.
+ fn nodes(&self) -> Box<dyn Iterator<Item = usize> + '_> {
+ Box::new(0..self.nodes_len())
+ }
+
+ /// Return an iterator of edges going out of a node.
+ ///
+ /// Return an error if the node is not known to the graph.
+ fn children_of(&self, node_id: usize) -> Result<Self::Iter<'_>, Error>;
+
+ #[inline]
+ /// Return an iterator of edges represented as pairs (FROM, TO).
+ ///
+ /// The default implementation iterates through the nodes and then
+ /// iterates through their children. If the implementation has a
+ /// more efficient method, overwrite this method.
+ fn edges(&self) -> Box<dyn Iterator<Item = (usize, usize)> + '_> {
+ Box::new(self.nodes().flat_map(|node| {
+ self.children_of(node)
+ // If this node is invalid, this means the
+ // implementation of `nodes` is wrong, so it is
+ // appropriate to panic here.
+ .unwrap()
+ .map(move |child| (node, child))
+ }))
+ }
+
+ #[inline]
+ /// Return true if and only if the node is in the graph.
+ fn has_node(&self, node_id: usize) -> bool {
+ (0..self.nodes_len()).contains(&node_id)
+ }
+
+ /// Return the number of "children" of a node, or an error if the
+ /// node is not a member of the graph.
+ fn degree(&self, node_id: usize) -> Result<usize, Error>;
+
+ /// Return a boolean indicating if the node has no children, or an
+ /// error if the node is not a member of the graph.
+ fn is_empty_node(&self, node_id: usize) -> Result<bool, Error>;
+
+ /// Return true if and only if there is an edge from the source to
+ /// the target.
+ ///
+ /// Return an error if either the source or the target is an
+ /// invalid node.
+ fn has_edge(&self, source: usize, target: usize) -> Result<bool, Error>;
+}
+
+/// A graph that can be extended, but not mutated, in the sense that
+/// existing nodes and edges will not be modified nor removed, but new
+/// nodes can be added. The index of the new node will be returned.
+///
+/// Implementations can choose to keep a set of sets of edges, so that
+/// new nodes will not have duplicate edge sets. In this case, the
+/// returned new node index is not necessarily equal to
+/// self.nodes_len() - 1, and hence the return type is designed in
+/// this way.
+pub trait ExtGraph: Graph {
+ /// Add a new node with `edges`.
+ ///
+ /// If an edge from `edges` points to a non-existent node, return
+ /// an error.
+ fn extend(&mut self, edges: impl IntoIterator<Item = usize>) -> Result<usize, Error>;
+}
+
+/// The type of labels should be comparable and hashable.
+pub trait GraphLabel: Hash + Eq + PartialEq + Clone + Copy + Ord + PartialOrd {}
+
+impl<T: Hash + Eq + PartialEq + Clone + Copy + Ord + PartialOrd> GraphLabel for T {}
+
+/// A labelled graph is just a graph with labels associated to
+/// vertices and / or edges.
+///
+/// This trait defines what the package needs out of a labelled graph.
+///
+/// Any implementation should be able to handle a set of types for
+/// labels, so this trait is generic over the label type.
+pub trait LabelGraph<T: GraphLabel>: Graph {
+ /// A type that iterates through the node indices.
+ type Iter<'a>: Iterator<Item = usize> + 'a
+ where
+ Self: 'a;
+
+ /// A type that iterates through labels.
+ type LabelIter<'a>: Iterator<Item = (&'a T, <Self as LabelGraph<T>>::Iter<'a>)> + 'a
+ where
+ Self: 'a,
+ T: 'a;
+
+ #[inline]
+ /// Return the label of a vertex or an error if the node is
+ /// invalid.
+ ///
+ /// The default implementation always returns None for a valid
+ /// node.
+ fn vertex_label(&self, node_id: usize) -> Result<Option<T>, Error> {
+ if self.has_node(node_id) {
+ Ok(None)
+ } else {
+ Err(Error::IndexOutOfBounds(node_id, self.nodes_len()))
+ }
+ }
+
+ #[inline]
+ /// Return the label of an edge or an error if some node is
+ /// invalid.
+ ///
+ /// The default implementation always returns an empty vector for
+ /// valid nodes.
+ fn edge_label(&self, source: usize, target: usize) -> Result<Vec<T>, Error> {
+ self.has_edge(source, target).map(|_| Vec::new())
+ }
+
+ /// Return an iterator of edges out of a node, whose associated
+ /// label is as given.
+ ///
+ /// The efficiency of this method matters in implementations.
+ fn find_children_with_label(
+ &self,
+ node_id: usize,
+ label: &T,
+ ) -> Result<<Self as LabelGraph<T>>::Iter<'_>, Error>;
+
+ /// Return an iterator of labels of edges out of a node.
+ ///
+ /// The efficiency of this method matters in implementations.
+ fn labels_of(&self, node_id: usize) -> Result<Self::LabelIter<'_>, Error>;
+}
+
+/// A labelled graph that can be extended, but not mutated, in the
+/// sense that existing nodes and edges will not be modified nor
+/// removed, but new nodes can be added. The index of the new node
+/// will be returned.
+///
+/// Implementations can choose to keep a set of sets of edges, so that
+/// new nodes will not have duplicate edge sets. In this case, the
+/// returned new node index is not necessarily equal to
+/// self.nodes_len() - 1, and hence the return type is designed in
+/// this way.
+pub trait LabelExtGraph<T: GraphLabel>: LabelGraph<T> {
+ /// Add a new node with `edges`.
+ ///
+ /// If an edge from `edges` points to a non-existent node, return
+ /// an error.
+ fn extend(&mut self, edges: impl IntoIterator<Item = (T, usize)>) -> Result<usize, Error>;
+}