feat/dfs (#110)

crates/map/src/finders/dfs.cairo

@@ -0,0 +1,184 @@
+//! Depth-First Search algorithm implementation for pathfinding.
+
+// Core imports
+use core::dict::{Felt252Dict, Felt252DictTrait};
+
+// Internal imports
+use origami_map::finders::finder::Finder;
+use origami_map::helpers::bitmap::Bitmap;
+use origami_map::helpers::seeder::Seeder;
+use origami_map::types::node::{Node, NodeTrait};
+use origami_map::types::direction::{Direction, DirectionTrait};
+
+/// DepthFirstSearch implementation for pathfinding
+#[generate_trait]
+pub impl DepthFirstSearch of DepthFirstSearchTrait {
+    /// Searches for a path from 'from' to 'to' on the given grid using DepthFirstSearch
+    ///
+    /// # Arguments
+    /// * `grid` - The grid represented as a felt252
+    /// * `width` - The width of the grid
+    /// * `height` - The height of the grid
+    /// * `from` - The starting position
+    /// * `to` - The target position
+    ///
+    /// # Returns
+    /// A Span<u8> representing the path from 'from' to 'to', or an empty span if no path exists
+    #[inline]
+    fn search(grid: felt252, width: u8, height: u8, from: u8, to: u8) -> Span<u8> {
+        // [Check] The start and target are walkable
+        if Bitmap::get(grid, from) == 0 || Bitmap::get(grid, to) == 0 {
+            return array![].span();
+        }
+
+        // [Effect] Initialize the start and target nodes
+        let start = NodeTrait::new(from, 0, 0, 0);
+        let target = NodeTrait::new(to, 0, 0, 0);
+
+        // [Effect] Initialize visited nodes and parents
+        let mut visited: Felt252Dict<bool> = Default::default();
+        let mut parents: Felt252Dict<u8> = Default::default();
+
+        // [Compute] Start the recursive DFS
+        let found = Self::iter(grid, width, height, start, target, ref visited, ref parents);
+
+        // Reconstruct and return the path if found
+        if found {
+            Finder::path_with_parents(ref parents, start, target)
+        } else {
+            array![].span()
+        }
+    }
+
+    /// Recursive helper function for DFS
+    #[inline]
+    fn iter(
+        grid: felt252,
+        width: u8,
+        height: u8,
+        current: Node,
+        target: Node,
+        ref visited: Felt252Dict<bool>,
+        ref parents: Felt252Dict<u8>
+    ) -> bool {
+        // [Check] If the current node has already been visited, return false
+        if visited.get(current.position.into()) {
+            return false;
+        }
+
+        // [Check] Mark current node as visited
+        visited.insert(current.position.into(), true);
+
+        // [Check] If we've reached the target, we're done
+        if current.position == target.position {
+            return true;
+        }
+
+        // [Compute] Evaluate the neighbors for all 4 directions
+        let seed = Seeder::shuffle(grid, current.position.into());
+        let mut directions = DirectionTrait::compute_shuffled_directions(seed);
+        let mut found = false;
+
+        loop {
+            if directions == 0 {
+                break;
+            }
+            let direction = DirectionTrait::pop_front(ref directions);
+            if Finder::check(grid, width, height, current.position, direction, ref visited) {
+                let neighbor_position = direction.next(current.position, width);
+                let neighbor = NodeTrait::new(neighbor_position, current.position, 0, 0);
+
+                // [Effect] Set parent for the neighbor
+                parents.insert(neighbor_position.into(), current.position);
+
+                // [Recurse] Continue DFS from the neighbor
+                found = Self::iter(grid, width, height, neighbor, target, ref visited, ref parents);
+
+                if found {
+                    break;
+                }
+            }
+        };
+
+        // [Check] Return whether we've found the target
+        found
+    }
+}
+
+#[cfg(test)]
+mod test {
+    use super::DepthFirstSearch;
+
+    #[test]
+    fn test_dfs_search_small() {
+        // x * *
+        // 1 0 *
+        // 0 1 s
+        let grid: felt252 = 0x1EB;
+        let width = 3;
+        let height = 3;
+        let from = 0;
+        let to = 8;
+        let path = DepthFirstSearch::search(grid, width, height, from, to);
+        assert_eq!(path, array![8, 7, 6, 3].span());
+    }
+
+    #[test]
+    fn test_dfs_search_impossible() {
+        // x 1 0
+        // 1 0 1
+        // 0 1 s
+        let grid: felt252 = 0x1AB;
+        let width = 3;
+        let height = 3;
+        let from = 0;
+        let to = 8;
+        let path = DepthFirstSearch::search(grid, width, height, from, to);
+        assert_eq!(path, array![].span());
+    }
+
+    #[test]
+    fn test_dfs_search_medium() {
+        //  * x 0 0
+        //  * 0 * *
+        //  * 1 * *
+        //  * * * s
+        let grid: felt252 = 0xCBFF;
+        let width = 4;
+        let height = 4;
+        let from = 0;
+        let to = 14;
+        let path = DepthFirstSearch::search(grid, width, height, from, to);
+        assert_eq!(path, array![14, 15, 11, 7, 3, 2, 1, 5, 9, 8, 4].span());
+    }
+
+    #[test]
+    fn test_dfs_single_cell_path() {
+        // Grid representation:
+        // x s
+        // 1 1
+        let grid: felt252 = 0xF;
+        let width = 2;
+        let height = 2;
+        let from = 3;
+        let to = 2;
+        let path = DepthFirstSearch::search(grid, width, height, from, to);
+        assert_eq!(path, array![2].span());
+    }
+
+    #[test]
+    fn test_dfs_maze() {
+        // Grid representation:
+        // x * 0 0 0
+        // 0 * * * 0
+        // 0 0 0 * 0
+        // 1 1 1 * s
+        let grid: felt252 = 0xC385F;
+        let width = 5;
+        let height = 4;
+        let from = 0;
+        let to = 19;
+        let path = DepthFirstSearch::search(grid, width, height, from, to);
+        assert_eq!(path, array![19, 18, 13, 12, 11, 6, 1].span());
+    }
+}

crates/map/src/lib.cairo

@@ -11,6 +11,7 @@ pub mod finders {
     pub mod astar;
     pub mod bfs;
     pub mod greedy;
+    pub mod dfs;
 }
 
 pub mod generators {