| //! A graph module for use in dataflow, region resolution, and elsewhere. |
| //! |
| //! # Interface details |
| //! |
| //! You customize the graph by specifying a "node data" type `N` and an |
| //! "edge data" type `E`. You can then later gain access (mutable or |
| //! immutable) to these "user-data" bits. Currently, you can only add |
| //! nodes or edges to the graph. You cannot remove or modify them once |
| //! added. This could be changed if we have a need. |
| //! |
| //! # Implementation details |
| //! |
| //! The main tricky thing about this code is the way that edges are |
| //! stored. The edges are stored in a central array, but they are also |
| //! threaded onto two linked lists for each node, one for incoming edges |
| //! and one for outgoing edges. Note that every edge is a member of some |
| //! incoming list and some outgoing list. Basically you can load the |
| //! first index of the linked list from the node data structures (the |
| //! field `first_edge`) and then, for each edge, load the next index from |
| //! the field `next_edge`). Each of those fields is an array that should |
| //! be indexed by the direction (see the type `Direction`). |
| |
| use crate::snapshot_vec::{SnapshotVec, SnapshotVecDelegate}; |
| use rustc_index::bit_set::BitSet; |
| use std::fmt::Debug; |
| |
| #[cfg(test)] |
| mod tests; |
| |
| pub struct Graph<N, E> { |
| nodes: SnapshotVec<Node<N>>, |
| edges: SnapshotVec<Edge<E>>, |
| } |
| |
| pub struct Node<N> { |
| first_edge: [EdgeIndex; 2], // see module comment |
| pub data: N, |
| } |
| |
| #[derive(Debug)] |
| pub struct Edge<E> { |
| next_edge: [EdgeIndex; 2], // see module comment |
| source: NodeIndex, |
| target: NodeIndex, |
| pub data: E, |
| } |
| |
| impl<N> SnapshotVecDelegate for Node<N> { |
| type Value = Node<N>; |
| type Undo = (); |
| |
| fn reverse(_: &mut Vec<Node<N>>, _: ()) {} |
| } |
| |
| impl<N> SnapshotVecDelegate for Edge<N> { |
| type Value = Edge<N>; |
| type Undo = (); |
| |
| fn reverse(_: &mut Vec<Edge<N>>, _: ()) {} |
| } |
| |
| #[derive(Copy, Clone, PartialEq, Debug)] |
| pub struct NodeIndex(pub usize); |
| |
| #[derive(Copy, Clone, PartialEq, Debug)] |
| pub struct EdgeIndex(pub usize); |
| |
| pub const INVALID_EDGE_INDEX: EdgeIndex = EdgeIndex(usize::MAX); |
| |
| // Use a private field here to guarantee no more instances are created: |
| #[derive(Copy, Clone, Debug, PartialEq)] |
| pub struct Direction { |
| repr: usize, |
| } |
| |
| pub const OUTGOING: Direction = Direction { repr: 0 }; |
| |
| pub const INCOMING: Direction = Direction { repr: 1 }; |
| |
| impl NodeIndex { |
| /// Returns unique ID (unique with respect to the graph holding associated node). |
| pub fn node_id(self) -> usize { |
| self.0 |
| } |
| } |
| |
| impl<N: Debug, E: Debug> Graph<N, E> { |
| pub fn new() -> Graph<N, E> { |
| Graph { nodes: SnapshotVec::new(), edges: SnapshotVec::new() } |
| } |
| |
| pub fn with_capacity(nodes: usize, edges: usize) -> Graph<N, E> { |
| Graph { nodes: SnapshotVec::with_capacity(nodes), edges: SnapshotVec::with_capacity(edges) } |
| } |
| |
| // # Simple accessors |
| |
| #[inline] |
| pub fn all_nodes(&self) -> &[Node<N>] { |
| &self.nodes |
| } |
| |
| #[inline] |
| pub fn len_nodes(&self) -> usize { |
| self.nodes.len() |
| } |
| |
| #[inline] |
| pub fn all_edges(&self) -> &[Edge<E>] { |
| &self.edges |
| } |
| |
| #[inline] |
| pub fn len_edges(&self) -> usize { |
| self.edges.len() |
| } |
| |
| // # Node construction |
| |
| pub fn next_node_index(&self) -> NodeIndex { |
| NodeIndex(self.nodes.len()) |
| } |
| |
| pub fn add_node(&mut self, data: N) -> NodeIndex { |
| let idx = self.next_node_index(); |
| self.nodes.push(Node { first_edge: [INVALID_EDGE_INDEX, INVALID_EDGE_INDEX], data }); |
| idx |
| } |
| |
| pub fn mut_node_data(&mut self, idx: NodeIndex) -> &mut N { |
| &mut self.nodes[idx.0].data |
| } |
| |
| pub fn node_data(&self, idx: NodeIndex) -> &N { |
| &self.nodes[idx.0].data |
| } |
| |
| pub fn node(&self, idx: NodeIndex) -> &Node<N> { |
| &self.nodes[idx.0] |
| } |
| |
| // # Edge construction and queries |
| |
| pub fn next_edge_index(&self) -> EdgeIndex { |
| EdgeIndex(self.edges.len()) |
| } |
| |
| pub fn add_edge(&mut self, source: NodeIndex, target: NodeIndex, data: E) -> EdgeIndex { |
| debug!("graph: add_edge({:?}, {:?}, {:?})", source, target, data); |
| |
| let idx = self.next_edge_index(); |
| |
| // read current first of the list of edges from each node |
| let source_first = self.nodes[source.0].first_edge[OUTGOING.repr]; |
| let target_first = self.nodes[target.0].first_edge[INCOMING.repr]; |
| |
| // create the new edge, with the previous firsts from each node |
| // as the next pointers |
| self.edges.push(Edge { next_edge: [source_first, target_first], source, target, data }); |
| |
| // adjust the firsts for each node target be the next object. |
| self.nodes[source.0].first_edge[OUTGOING.repr] = idx; |
| self.nodes[target.0].first_edge[INCOMING.repr] = idx; |
| |
| idx |
| } |
| |
| pub fn edge(&self, idx: EdgeIndex) -> &Edge<E> { |
| &self.edges[idx.0] |
| } |
| |
| // # Iterating over nodes, edges |
| |
| pub fn enumerated_nodes(&self) -> impl Iterator<Item = (NodeIndex, &Node<N>)> { |
| self.nodes.iter().enumerate().map(|(idx, n)| (NodeIndex(idx), n)) |
| } |
| |
| pub fn enumerated_edges(&self) -> impl Iterator<Item = (EdgeIndex, &Edge<E>)> { |
| self.edges.iter().enumerate().map(|(idx, e)| (EdgeIndex(idx), e)) |
| } |
| |
| pub fn each_node<'a>(&'a self, mut f: impl FnMut(NodeIndex, &'a Node<N>) -> bool) -> bool { |
| //! Iterates over all edges defined in the graph. |
| self.enumerated_nodes().all(|(node_idx, node)| f(node_idx, node)) |
| } |
| |
| pub fn each_edge<'a>(&'a self, mut f: impl FnMut(EdgeIndex, &'a Edge<E>) -> bool) -> bool { |
| //! Iterates over all edges defined in the graph |
| self.enumerated_edges().all(|(edge_idx, edge)| f(edge_idx, edge)) |
| } |
| |
| pub fn outgoing_edges(&self, source: NodeIndex) -> AdjacentEdges<'_, N, E> { |
| self.adjacent_edges(source, OUTGOING) |
| } |
| |
| pub fn incoming_edges(&self, source: NodeIndex) -> AdjacentEdges<'_, N, E> { |
| self.adjacent_edges(source, INCOMING) |
| } |
| |
| pub fn adjacent_edges( |
| &self, |
| source: NodeIndex, |
| direction: Direction, |
| ) -> AdjacentEdges<'_, N, E> { |
| let first_edge = self.node(source).first_edge[direction.repr]; |
| AdjacentEdges { graph: self, direction, next: first_edge } |
| } |
| |
| pub fn successor_nodes(&self, source: NodeIndex) -> impl Iterator<Item = NodeIndex> + '_ { |
| self.outgoing_edges(source).targets() |
| } |
| |
| pub fn predecessor_nodes(&self, target: NodeIndex) -> impl Iterator<Item = NodeIndex> + '_ { |
| self.incoming_edges(target).sources() |
| } |
| |
| pub fn depth_traverse( |
| &self, |
| start: NodeIndex, |
| direction: Direction, |
| ) -> DepthFirstTraversal<'_, N, E> { |
| DepthFirstTraversal::with_start_node(self, start, direction) |
| } |
| |
| pub fn nodes_in_postorder( |
| &self, |
| direction: Direction, |
| entry_node: NodeIndex, |
| ) -> Vec<NodeIndex> { |
| let mut visited = BitSet::new_empty(self.len_nodes()); |
| let mut stack = vec![]; |
| let mut result = Vec::with_capacity(self.len_nodes()); |
| let mut push_node = |stack: &mut Vec<_>, node: NodeIndex| { |
| if visited.insert(node.0) { |
| stack.push((node, self.adjacent_edges(node, direction))); |
| } |
| }; |
| |
| for node in |
| Some(entry_node).into_iter().chain(self.enumerated_nodes().map(|(node, _)| node)) |
| { |
| push_node(&mut stack, node); |
| while let Some((node, mut iter)) = stack.pop() { |
| if let Some((_, child)) = iter.next() { |
| let target = child.source_or_target(direction); |
| // the current node needs more processing, so |
| // add it back to the stack |
| stack.push((node, iter)); |
| // and then push the new node |
| push_node(&mut stack, target); |
| } else { |
| result.push(node); |
| } |
| } |
| } |
| |
| assert_eq!(result.len(), self.len_nodes()); |
| result |
| } |
| } |
| |
| // # Iterators |
| |
| pub struct AdjacentEdges<'g, N, E> { |
| graph: &'g Graph<N, E>, |
| direction: Direction, |
| next: EdgeIndex, |
| } |
| |
| impl<'g, N: Debug, E: Debug> AdjacentEdges<'g, N, E> { |
| fn targets(self) -> impl Iterator<Item = NodeIndex> + 'g { |
| self.map(|(_, edge)| edge.target) |
| } |
| |
| fn sources(self) -> impl Iterator<Item = NodeIndex> + 'g { |
| self.map(|(_, edge)| edge.source) |
| } |
| } |
| |
| impl<'g, N: Debug, E: Debug> Iterator for AdjacentEdges<'g, N, E> { |
| type Item = (EdgeIndex, &'g Edge<E>); |
| |
| fn next(&mut self) -> Option<(EdgeIndex, &'g Edge<E>)> { |
| let edge_index = self.next; |
| if edge_index == INVALID_EDGE_INDEX { |
| return None; |
| } |
| |
| let edge = self.graph.edge(edge_index); |
| self.next = edge.next_edge[self.direction.repr]; |
| Some((edge_index, edge)) |
| } |
| |
| fn size_hint(&self) -> (usize, Option<usize>) { |
| // At most, all the edges in the graph. |
| (0, Some(self.graph.len_edges())) |
| } |
| } |
| |
| pub struct DepthFirstTraversal<'g, N, E> { |
| graph: &'g Graph<N, E>, |
| stack: Vec<NodeIndex>, |
| visited: BitSet<usize>, |
| direction: Direction, |
| } |
| |
| impl<'g, N: Debug, E: Debug> DepthFirstTraversal<'g, N, E> { |
| pub fn with_start_node( |
| graph: &'g Graph<N, E>, |
| start_node: NodeIndex, |
| direction: Direction, |
| ) -> Self { |
| let mut visited = BitSet::new_empty(graph.len_nodes()); |
| visited.insert(start_node.node_id()); |
| DepthFirstTraversal { graph, stack: vec![start_node], visited, direction } |
| } |
| |
| fn visit(&mut self, node: NodeIndex) { |
| if self.visited.insert(node.node_id()) { |
| self.stack.push(node); |
| } |
| } |
| } |
| |
| impl<'g, N: Debug, E: Debug> Iterator for DepthFirstTraversal<'g, N, E> { |
| type Item = NodeIndex; |
| |
| fn next(&mut self) -> Option<NodeIndex> { |
| let next = self.stack.pop(); |
| if let Some(idx) = next { |
| for (_, edge) in self.graph.adjacent_edges(idx, self.direction) { |
| let target = edge.source_or_target(self.direction); |
| self.visit(target); |
| } |
| } |
| next |
| } |
| |
| fn size_hint(&self) -> (usize, Option<usize>) { |
| // We will visit every node in the graph exactly once. |
| let remaining = self.graph.len_nodes() - self.visited.count(); |
| (remaining, Some(remaining)) |
| } |
| } |
| |
| impl<'g, N: Debug, E: Debug> ExactSizeIterator for DepthFirstTraversal<'g, N, E> {} |
| |
| impl<E> Edge<E> { |
| pub fn source(&self) -> NodeIndex { |
| self.source |
| } |
| |
| pub fn target(&self) -> NodeIndex { |
| self.target |
| } |
| |
| pub fn source_or_target(&self, direction: Direction) -> NodeIndex { |
| if direction == OUTGOING { self.target } else { self.source } |
| } |
| } |