use std::borrow::Borrow;
use std::collections::{BTreeMap, BTreeSet, VecDeque};
use std::fmt;
pub struct Graph<N: Clone, E: Clone> {
nodes: im_rc::OrdMap<N, im_rc::OrdMap<N, E>>,
}
impl<N: Eq + Ord + Clone, E: Default + Clone> Graph<N, E> {
pub fn new() -> Graph<N, E> {
Graph {
nodes: im_rc::OrdMap::new(),
}
}
pub fn add(&mut self, node: N) {
self.nodes.entry(node).or_insert_with(im_rc::OrdMap::new);
}
pub fn link(&mut self, node: N, child: N) -> &mut E {
self.nodes
.entry(node)
.or_insert_with(im_rc::OrdMap::new)
.entry(child)
.or_default()
}
pub fn reversed(&self) -> Graph<N, E> {
let mut ret = Graph::new();
for n in self.iter() {
ret.add(n.clone());
for (m, e) in self.edges(n) {
*ret.link(m.clone(), n.clone()) = e.clone();
}
}
ret
}
pub fn contains<Q: ?Sized>(&self, k: &Q) -> bool
where
N: Borrow<Q>,
Q: Ord + Eq,
{
self.nodes.contains_key(k)
}
pub fn edge(&self, from: &N, to: &N) -> Option<&E> {
self.nodes.get(from)?.get(to)
}
pub fn edges(&self, from: &N) -> impl Iterator<Item = (&N, &E)> {
self.nodes.get(from).into_iter().flat_map(|x| x.iter())
}
pub fn sort(&self) -> Vec<N> {
let mut ret = Vec::new();
let mut marks = BTreeSet::new();
for node in self.nodes.keys() {
self.sort_inner_visit(node, &mut ret, &mut marks);
}
ret
}
fn sort_inner_visit(&self, node: &N, dst: &mut Vec<N>, marks: &mut BTreeSet<N>) {
if !marks.insert(node.clone()) {
return;
}
for child in self.nodes[node].keys() {
self.sort_inner_visit(child, dst, marks);
}
dst.push(node.clone());
}
pub fn iter(&self) -> impl Iterator<Item = &N> {
self.nodes.keys()
}
pub fn len(&self) -> usize {
self.nodes.len()
}
pub fn is_path_from_to<'a>(&'a self, from: &'a N, to: &'a N) -> bool {
let mut stack = vec![from];
let mut seen = BTreeSet::new();
seen.insert(from);
while let Some(iter) = stack.pop().and_then(|p| self.nodes.get(p)) {
for p in iter.keys() {
if p == to {
return true;
}
if seen.insert(p) {
stack.push(p);
}
}
}
false
}
pub fn path_to_bottom<'a>(&'a self, pkg: &'a N) -> Vec<(&'a N, Option<&'a E>)> {
self.path_to(pkg, |s, p| s.edges(p))
}
pub fn path_to_top<'a>(&'a self, pkg: &'a N) -> Vec<(&'a N, Option<&'a E>)> {
self.path_to(pkg, |s, pk| {
s.nodes
.iter()
.filter_map(|(p, adjacent)| adjacent.get(pk).map(|e| (p, e)))
})
}
}
impl<'s, N: Eq + Ord + Clone + 's, E: Default + Clone + 's> Graph<N, E> {
fn path_to<'a, F, I>(&'s self, pkg: &'a N, fn_edge: F) -> Vec<(&'a N, Option<&'a E>)>
where
I: Iterator<Item = (&'a N, &'a E)>,
F: Fn(&'s Self, &'a N) -> I,
'a: 's,
{
let mut back_link = BTreeMap::new();
let mut queue = VecDeque::from([pkg]);
let mut last = pkg;
while let Some(p) = queue.pop_front() {
last = p;
let mut out_edges = true;
for (child, edge) in fn_edge(&self, p) {
out_edges = false;
back_link.entry(child).or_insert_with(|| {
queue.push_back(child);
(p, edge)
});
}
if out_edges {
break;
}
}
let mut result = Vec::new();
let mut next = last;
while let Some((p, e)) = back_link.remove(&next) {
result.push((next, Some(e)));
next = p;
}
if result.iter().all(|(n, _)| n != &next) {
result.push((next, None));
}
result.reverse();
#[cfg(debug_assertions)]
{
for x in result.windows(2) {
let [(n2, _), (n1, Some(e12))] = x else {
unreachable!()
};
assert!(std::ptr::eq(
self.edge(n1, n2).or(self.edge(n2, n1)).unwrap(),
*e12
));
}
let last = result.last().unwrap().0;
let set: Vec<_> = result.iter().map(|(k, _)| k).collect();
if !fn_edge(&self, last)
.filter(|(e, _)| !set.contains(&e))
.next()
.is_none()
{
self.print_for_test();
unreachable!("The last element in the path should not have outgoing edges");
}
}
result
}
}
#[test]
fn path_to_case() {
let mut new = Graph::new();
new.link(0, 3);
new.link(1, 0);
new.link(2, 0);
new.link(2, 1);
assert_eq!(
new.path_to_bottom(&2),
vec![(&2, None), (&0, Some(&())), (&3, Some(&()))]
);
}
#[test]
fn path_to_self() {
let mut new: Graph<i32, ()> = Graph::new();
new.link(0, 0);
assert_eq!(new.path_to_bottom(&0), vec![(&0, Some(&()))]);
}
#[test]
fn reverse() {
let mut new: Graph<i32, ()> = Graph::new();
new.link(0, 1);
new.link(0, 2);
let mut expected: Graph<i32, ()> = Graph::new();
expected.add(0);
expected.link(1, 0);
expected.link(2, 0);
assert_eq!(new.reversed(), expected);
}
impl<N: Eq + Ord + Clone, E: Default + Clone> Default for Graph<N, E> {
fn default() -> Graph<N, E> {
Graph::new()
}
}
impl<N: fmt::Display + Eq + Ord + Clone, E: Clone> fmt::Debug for Graph<N, E> {
fn fmt(&self, fmt: &mut fmt::Formatter<'_>) -> fmt::Result {
writeln!(fmt, "Graph {{")?;
for (n, e) in &self.nodes {
writeln!(fmt, " - {}", n)?;
for n in e.keys() {
writeln!(fmt, " - {}", n)?;
}
}
write!(fmt, "}}")?;
Ok(())
}
}
impl<N: Eq + Ord + Clone, E: Clone> Graph<N, E> {
#[cfg(debug_assertions)]
#[allow(clippy::print_stderr)]
fn print_for_test(&self) {
let names = self
.nodes
.keys()
.chain(self.nodes.values().flat_map(|vs| vs.keys()))
.collect::<BTreeSet<_>>()
.into_iter()
.collect::<Vec<_>>();
let mut new = Graph::new();
for n1 in self.nodes.keys() {
let name1 = names.binary_search(&n1).unwrap();
new.add(name1);
for n2 in self.nodes[n1].keys() {
let name2 = names.binary_search(&n2).unwrap();
*new.link(name1, name2) = ();
}
}
eprintln!("Graph for tests = {new:#?}");
}
}
impl<N: Eq + Ord + Clone, E: Eq + Clone> PartialEq for Graph<N, E> {
fn eq(&self, other: &Graph<N, E>) -> bool {
self.nodes.eq(&other.nodes)
}
}
impl<N: Eq + Ord + Clone, E: Eq + Clone> Eq for Graph<N, E> {}
impl<N: Eq + Ord + Clone, E: Clone> Clone for Graph<N, E> {
fn clone(&self) -> Graph<N, E> {
Graph {
nodes: self.nodes.clone(),
}
}
}