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//! `GraphMap<N, E>` is an undirected graph where node values are mapping keys.
use std::hash::{Hash};
use std::collections::HashMap;
use std::iter::Map;
use std::collections::hash_map::{
Keys,
};
use std::collections::hash_map::Iter as HashmapIter;
use std::slice::{
Iter,
};
use std::fmt;
use std::ops::{Index, IndexMut};
/// `GraphMap<N, E>` is an undirected graph, with generic node values `N` and edge weights `E`.
///
/// It uses an combined adjacency list and sparse adjacency matrix representation, using **O(|V|
/// + |E|)** space, and allows testing for edge existance in constant time.
///
/// The node type `N` must implement `Copy` and will be used as node identifier, duplicated
/// into several places in the data structure.
/// It must be suitable as a hash table key (implementing `Eq + Hash`).
/// The node type must also implement `Ord` so that the implementation can
/// order the pair (`a`, `b`) for an edge connecting any two nodes `a` and `b`.
///
/// `GraphMap` does not allow parallel edges, but self loops are allowed.
#[derive(Clone)]
pub struct GraphMap<N, E> {
nodes: HashMap<N, Vec<N>>,
edges: HashMap<(N, N), E>,
}
impl<N: Eq + Hash + fmt::Debug, E: fmt::Debug> fmt::Debug for GraphMap<N, E> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
self.nodes.fmt(f)
}
}
#[inline]
fn edge_key<N: Copy + Ord>(a: N, b: N) -> (N, N) {
if a <= b { (a, b) } else { (b, a) }
}
#[inline]
fn copy<N: Copy>(n: &N) -> N { *n }
/// A trait group for `GraphMap`'s node identifier.
pub trait NodeTrait : Copy + Ord + Hash {}
impl<N> NodeTrait for N where N: Copy + Ord + Hash {}
impl<N, E> GraphMap<N, E>
where N: NodeTrait
{
/// Create a new `GraphMap`.
pub fn new() -> Self {
GraphMap {
nodes: HashMap::new(),
edges: HashMap::new(),
}
}
/// Create a new `GraphMap` with estimated capacity.
pub fn with_capacity(nodes: usize, edges: usize) -> Self {
GraphMap {
nodes: HashMap::with_capacity(nodes),
edges: HashMap::with_capacity(edges),
}
}
/// Return the number of nodes in the graph.
pub fn node_count(&self) -> usize {
self.nodes.len()
}
/// Return the number of edges in the graph.
pub fn edge_count(&self) -> usize {
self.edges.len()
}
/// Remove all nodes and edges
pub fn clear(&mut self) {
self.nodes.clear();
self.edges.clear();
}
/// Add node `n` to the graph.
pub fn add_node(&mut self, n: N) -> N {
self.nodes.entry(n).or_insert_with(|| Vec::new());
n
}
/// Return `true` if node `n` was removed.
pub fn remove_node(&mut self, n: N) -> bool {
let successors = match self.nodes.remove(&n) {
None => return false,
Some(sus) => sus,
};
for succ in successors.into_iter() {
// remove all successor links
self.remove_single_edge(&succ, &n);
// Remove all edge values
self.edges.remove(&edge_key(n, succ));
}
true
}
/// Return `true` if the node is contained in the graph.
pub fn contains_node(&self, n: N) -> bool {
self.nodes.contains_key(&n)
}
/// Add an edge connecting `a` and `b` to the graph.
///
/// Inserts nodes `a` and/or `b` if they aren't already part of the graph.
///
/// Return `true` if edge did not previously exist.
///
/// ## Example
/// ```
/// use petgraph::GraphMap;
///
/// let mut g = GraphMap::new();
/// g.add_edge(1, 2, -1);
/// assert_eq!(g.node_count(), 2);
/// assert_eq!(g.edge_count(), 1);
/// ```
pub fn add_edge(&mut self, a: N, b: N, edge: E) -> bool {
// Use Ord to order the edges
self.nodes.entry(a)
.or_insert_with(|| Vec::with_capacity(1))
.push(b);
self.nodes.entry(b)
.or_insert_with(|| Vec::with_capacity(1))
.push(a);
self.edges.insert(edge_key(a, b), edge).is_none()
}
/// Remove successor relation from a to b
///
/// Return `true` if it did exist.
fn remove_single_edge(&mut self, a: &N, b: &N) -> bool {
match self.nodes.get_mut(a) {
None => false,
Some(sus) => {
match sus.iter().position(|elt| elt == b) {
Some(index) => { sus.swap_remove(index); true }
None => false,
}
}
}
}
/// Remove edge from `a` to `b` from the graph and return the edge weight.
///
/// Return `None` if the edge didn't exist.
///
/// ## Example
///
/// ```
/// use petgraph::GraphMap;
///
/// let mut g = GraphMap::new();
/// g.add_node(1);
/// g.add_node(2);
/// g.add_edge(1, 2, -1);
///
/// let edge = g.remove_edge(2, 1);
/// assert_eq!(edge, Some(-1));
/// assert_eq!(g.edge_count(), 0);
/// ```
pub fn remove_edge(&mut self, a: N, b: N) -> Option<E> {
let exist1 = self.remove_single_edge(&a, &b);
let exist2 = self.remove_single_edge(&b, &a);
let weight = self.edges.remove(&edge_key(a, b));
debug_assert!(exist1 == exist2 && exist1 == weight.is_some());
weight
}
/// Return `true` if the edge connecting `a` with `b` is contained in the graph.
pub fn contains_edge(&self, a: N, b: N) -> bool {
self.edges.contains_key(&edge_key(a, b))
}
/// Return an iterator over the nodes of the graph.
///
/// Iterator element type is `N`.
pub fn nodes(&self) -> Nodes<N> {
Nodes{iter: self.nodes.keys().map(copy)}
}
/// Return an iterator over the nodes that are connected with `from` by edges.
///
/// If the node `from` does not exist in the graph, return an empty iterator.
///
/// Iterator element type is `N`.
pub fn neighbors(&self, from: N) -> Neighbors<N> {
Neighbors{iter:
match self.nodes.get(&from) {
Some(neigh) => neigh.iter(),
None => [].iter(),
}.map(copy)
}
}
/// Return an iterator over the nodes that are connected with `from` by edges,
/// paired with the edge weight.
///
/// If the node `from` does not exist in the graph, return an empty iterator.
///
/// Iterator element type is `(N, &E)`.
pub fn edges(&self, from: N) -> Edges<N, E> {
Edges {
from: from,
iter: self.neighbors(from),
edges: &self.edges,
}
}
/// Return a reference to the edge weight connecting `a` with `b`, or
/// `None` if the edge does not exist in the graph.
pub fn edge_weight(&self, a: N, b: N) -> Option<&E> {
self.edges.get(&edge_key(a, b))
}
/// Return a mutable reference to the edge weight connecting `a` with `b`, or
/// `None` if the edge does not exist in the graph.
pub fn edge_weight_mut(&mut self, a: N, b: N) -> Option<&mut E> {
self.edges.get_mut(&edge_key(a, b))
}
/// Return an iterator over all edges of the graph with their weight in arbitrary order.
///
/// Iterator element type is `((N, N), &E)`
pub fn all_edges(&self) -> AllEdges<N, E> {
AllEdges {
inner: self.edges.iter()
}
}
}
/// Utitily macro -- reinterpret passed in macro arguments as items
macro_rules! items {
($($item:item)*) => ($($item)*);
}
macro_rules! iterator_wrap {
($name: ident <$($typarm:tt),*> where { $($bounds: tt)* }
item: $item: ty,
iter: $iter: ty,
) => (
items! {
pub struct $name <$($typarm),*> where $($bounds)* {
iter: $iter,
}
impl<$($typarm),*> Iterator for $name <$($typarm),*>
{
type Item = $item;
#[inline]
fn next(&mut self) -> Option<Self::Item> {
self.iter.next()
}
#[inline]
fn size_hint(&self) -> (usize, Option<usize>) {
self.iter.size_hint()
}
}
impl<$($typarm),*> DoubleEndedIterator for $name <$($typarm),*>
where $iter: DoubleEndedIterator<Item=$item>,
{
#[inline]
fn next_back(&mut self) -> Option<Self::Item> {
self.iter.next_back()
}
}
impl<$($typarm),*> ExactSizeIterator for $name <$($typarm),*>
where $iter: ExactSizeIterator<Item=$item>,
{
}
}
);
}
iterator_wrap! {
Nodes <'a, N> where { N: 'a }
item: N,
iter: Map<Keys<'a, N, Vec<N>>, fn(&N) -> N>,
}
iterator_wrap! {
Neighbors <'a, N> where { N: 'a }
item: N,
iter: Map<Iter<'a, N>, fn(&N) -> N>,
}
pub struct Edges<'a, N, E: 'a> where N: 'a + NodeTrait {
/// **Deprecated: should be private**
pub from: N,
/// **Deprecated: should be private**
pub edges: &'a HashMap<(N, N), E>,
/// **Deprecated: should be private**
pub iter: Neighbors<'a, N>,
}
impl<'a, N, E> Iterator for Edges<'a, N, E>
where N: 'a + NodeTrait, E: 'a
{
type Item = (N, &'a E);
fn next(&mut self) -> Option<(N, &'a E)>
{
match self.iter.next() {
None => None,
Some(b) => {
let a = self.from;
match self.edges.get(&edge_key(a, b)) {
None => unreachable!(),
Some(edge) => {
Some((b, edge))
}
}
}
}
}
}
pub struct AllEdges<'a, N, E: 'a> where N: 'a + NodeTrait {
inner: HashmapIter<'a, (N, N), E>
}
impl<'a, N, E> Iterator for AllEdges<'a, N, E>
where N: 'a + NodeTrait, E: 'a
{
type Item = ((N, N), &'a E);
fn next(&mut self) -> Option<((N, N), &'a E)>
{
match self.inner.next() {
None => None,
Some((k, v)) => Some((*k, v))
}
}
}
/// Index `GraphMap` by node pairs to access edge weights.
impl<N, E> Index<(N, N)> for GraphMap<N, E>
where N: NodeTrait
{
type Output = E;
fn index(&self, index: (N, N)) -> &E
{
self.edge_weight(index.0, index.1).expect("GraphMap::index: no such edge")
}
}
/// Index `GraphMap` by node pairs to access edge weights.
impl<N, E> IndexMut<(N, N)> for GraphMap<N, E>
where N: NodeTrait
{
fn index_mut(&mut self, index: (N, N)) -> &mut E
{
self.edge_weight_mut(index.0, index.1).expect("GraphMap::index: no such edge")
}
}