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108 lines
3.8 KiB
Rust
108 lines
3.8 KiB
Rust
use crate::graph::{DirectedGraph, GraphSuccessors, WithNumEdges, WithNumNodes, WithSuccessors};
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use rustc_index::{Idx, IndexVec};
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#[cfg(test)]
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mod tests;
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pub struct VecGraph<N: Idx> {
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/// Maps from a given node to an index where the set of successors
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/// for that node starts. The index indexes into the `edges`
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/// vector. To find the range for a given node, we look up the
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/// start for that node and then the start for the next node
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/// (i.e., with an index 1 higher) and get the range between the
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/// two. This vector always has an extra entry so that this works
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/// even for the max element.
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node_starts: IndexVec<N, usize>,
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edge_targets: Vec<N>,
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}
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impl<N: Idx + Ord> VecGraph<N> {
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pub fn new(num_nodes: usize, mut edge_pairs: Vec<(N, N)>) -> Self {
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// Sort the edges by the source -- this is important.
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edge_pairs.sort();
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let num_edges = edge_pairs.len();
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// Store the *target* of each edge into `edge_targets`.
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let edge_targets: Vec<N> = edge_pairs.iter().map(|&(_, target)| target).collect();
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// Create the *edge starts* array. We are iterating over the
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// (sorted) edge pairs. We maintain the invariant that the
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// length of the `node_starts` array is enough to store the
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// current source node -- so when we see that the source node
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// for an edge is greater than the current length, we grow the
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// edge-starts array by just enough.
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let mut node_starts = IndexVec::with_capacity(num_edges);
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for (index, &(source, _)) in edge_pairs.iter().enumerate() {
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// If we have a list like `[(0, x), (2, y)]`:
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//
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// - Start out with `node_starts` of `[]`
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// - Iterate to `(0, x)` at index 0:
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// - Push one entry because `node_starts.len()` (0) is <= the source (0)
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// - Leaving us with `node_starts` of `[0]`
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// - Iterate to `(2, y)` at index 1:
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// - Push one entry because `node_starts.len()` (1) is <= the source (2)
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// - Push one entry because `node_starts.len()` (2) is <= the source (2)
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// - Leaving us with `node_starts` of `[0, 1, 1]`
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// - Loop terminates
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while node_starts.len() <= source.index() {
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node_starts.push(index);
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}
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}
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// Pad out the `node_starts` array so that it has `num_nodes +
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// 1` entries. Continuing our example above, if `num_nodes` is
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// be `3`, we would push one more index: `[0, 1, 1, 2]`.
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//
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// Interpretation of that vector:
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//
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// [0, 1, 1, 2]
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// ---- range for N=2
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// ---- range for N=1
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// ---- range for N=0
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while node_starts.len() <= num_nodes {
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node_starts.push(edge_targets.len());
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}
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assert_eq!(node_starts.len(), num_nodes + 1);
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Self { node_starts, edge_targets }
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}
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/// Gets the successors for `source` as a slice.
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pub fn successors(&self, source: N) -> &[N] {
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let start_index = self.node_starts[source];
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let end_index = self.node_starts[source.plus(1)];
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&self.edge_targets[start_index..end_index]
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}
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}
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impl<N: Idx> DirectedGraph for VecGraph<N> {
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type Node = N;
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}
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impl<N: Idx> WithNumNodes for VecGraph<N> {
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fn num_nodes(&self) -> usize {
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self.node_starts.len() - 1
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}
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}
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impl<N: Idx> WithNumEdges for VecGraph<N> {
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fn num_edges(&self) -> usize {
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self.edge_targets.len()
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}
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}
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impl<'graph, N: Idx> GraphSuccessors<'graph> for VecGraph<N> {
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type Item = N;
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type Iter = std::iter::Cloned<std::slice::Iter<'graph, N>>;
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}
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impl<N: Idx + Ord> WithSuccessors for VecGraph<N> {
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fn successors(&self, node: N) -> <Self as GraphSuccessors<'_>>::Iter {
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self.successors(node).iter().cloned()
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}
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}
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