Hi all,

I am working on a project, and there is a pretty critical component of it which does some path finding through a graph. It's implemented recursively and works ok, but I want it to be better (and faster before I hit a limit). What I would really like to do is implement this recursive function as an iterator instead, but I am not feeling clever enough to do this...

I added a recursion counter recently, and this is pretty slow to go through before it hits the limit.

This might be really horrible code, but if anyone could give me any pointers to refactor this, that would be amazing. I realise that this is a brute force approach, which will only really work for small(ish) graphs (perhaps < ~50 nodes).

```
use anyhow::Result;
use petgraph::{
graph::{Graph, IndexType, NodeIndex},
visit::{EdgeRef, IntoNodeIdentifiers, IntoNodeReferences, NodeIndexable, NodeRef},
Directed,
Direction::Outgoing,
};
use std::collections::HashMap;
const MAX_RECURSION_DEPTH: usize = 1000;
fn recursive_path_finder_incl_coverage<T, U, Ix: IndexType>(
graph: &Graph<T, U, Directed, Ix>, // my graph structure
start_node: NodeIndex<Ix>, // node index of the starting node
end_node: NodeIndex<Ix>, // node index of the end node
visited: &mut HashMap<NodeIndex<Ix>, usize>, // keep track of nodes we have visited
rel_coverage_map: &HashMap<NodeIndex<Ix>, usize>, // a hashmap of the nodes and their coverage, which determines how many times a node should be visited when computing a path.
depth: usize,
)
// sorry about the horrible return type.
-> Option<Result<Vec<Vec<NodeIndex<Ix>>>>> {
// return None if we hit the max recursion depth
if depth > MAX_RECURSION_DEPTH {
return None;
}
// if the start node is the same as the end
// the path is just to the end node
if start_node == end_node {
Some(Ok(vec![vec![end_node]]))
} else {
let mut paths = Vec::new();
for edge in graph.edges_directed(start_node, Outgoing) {
let next_node = edge.target();
let test = *rel_coverage_map.get(&next_node).unwrap();
if !visited.contains_key(&next_node) || *visited.get(&next_node).unwrap() != test {
*visited.entry(next_node).or_insert(0) += 1;
let descendant_paths = match recursive_path_finder_incl_coverage(
graph,
next_node,
end_node,
visited,
rel_coverage_map,
depth + 1,
) {
// can I get rid of this unwrap? is it safe?
Some(p) => p.unwrap(),
None => return None,
};
visited.remove(&next_node);
paths.extend(
descendant_paths
.into_iter()
.map(|path| {
let mut new_path = vec![start_node];
new_path.extend(path);
new_path
})
.collect::<Vec<_>>(),
)
}
}
Some(Ok(paths))
}
}
```

Many thanks,

M