feat: a_star implementation

algorithms/a_star.py

@@ -1,5 +1,6 @@
 from __future__ import annotations
 
+import heapq
 from dataclasses import dataclass, field
 from typing import Tuple, Optional, List
 
@@ -33,7 +34,7 @@ class State:
 class Node:
     state: State
     parent: Optional[Node]
-    action: str
+    action: Optional[str]
     cost: int = field(init=False)
     depth: int = field(init=False)
 
@@ -48,8 +49,8 @@ class Node:
         return hash(self.state)
 
 
-def expand(node: Node) -> List[Node]:
-    return [child_node(node=node, action=action) for action in actions(node.state)]
+def expand(node: Node, grid: List[List[str]]) -> List[Node]:
+    return [child_node(node=node, action=action) for action in actions(node.state, grid)]
 
 
 def child_node(node: Node, action: str) -> Node:
@@ -147,5 +148,37 @@ def f(current_node: Node, goal: Tuple[int, int]) -> int:
     return current_node.cost + h(state=current_node.state, goal=goal)
 
 
+def get_path_from_start(node: Node) -> List[str]:
+    path = [node]
+
+    while node.parent is not None:
+        node = node.parent
+        path.append(node.action)
+
+    path.reverse()
+    return path
+
+
 def a_star(state: State, grid: List[List[str]], goals: List[Tuple[int, int]]) -> List[str]:
+    node = Node(state=state, parent=None, action=None)
+
+    frontier = list()
+    heapq.heappush(frontier, (f(node, goals[0]), node))
+    explored = set()
+
+    while frontier:
+        r, node = heapq.heappop(frontier)
+
+        if goal_test(node.state, goals):
+            return get_path_from_start(node)
+
+        explored.add(node.state)
+
+        for child in expand(node, grid):
+            p = f(child, goals[0])
+            if child.state not in explored and (p, child) not in frontier:
+                heapq.heappush(frontier, (p, child))
+            elif (r, child) in frontier and r > p:
+                heapq.heappush(frontier, (p, child))
+
     return []