Created
October 26, 2020 13:27
-
-
Save sXakil/1f75a0e2f612edb923fa2bea474797cd to your computer and use it in GitHub Desktop.
A* Implementation (Maze Solver)
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
from heapq import heappush, heappop | |
class PriorityQueue: | |
def __init__(self, iterable=[]): | |
self.heap = [] | |
for value in iterable: | |
heappush(self.heap, (0, value)) | |
def add(self, value, priority=0): | |
heappush(self.heap, (priority, value)) | |
def pop(self): | |
priority, value = heappop(self.heap) | |
return value | |
def notEmpty(self): | |
return bool(self.heap) | |
def aStarSearch(start, goal_function, successor_function, heuristic ): | |
visited = set() | |
came_from = dict() | |
distance = {start: 0} | |
partition = PriorityQueue() | |
partition.add(start) | |
while partition.notEmpty(): | |
node = partition.pop() | |
if node in visited: | |
continue | |
if goal_function(node): | |
end = node | |
reverse_path = [end] | |
while end != start: | |
end = came_from[end] | |
reverse_path.append(end) | |
return list(reversed(reverse_path)) | |
visited.add(node) | |
for successor in successor_function(node): | |
partition.add( successor, priority = distance[node] + 1 + heuristic(successor) ) | |
if (successor not in distance or distance[node] + 1 < distance[successor]): | |
distance[successor] = distance[node] + 1 | |
came_from[successor] = node | |
return None | |
def getGoal(grid): | |
M = len(grid) | |
N = len(grid[0]) | |
def didReachCorner(cell): | |
return cell == (M-1, N-1) | |
return didReachCorner | |
def getSuccessor(grid): | |
def getClearAdjacentCells(cell): | |
i, j = cell | |
return ( | |
(i + a, j + b) | |
for a in (-1, 0, 1) | |
for b in (-1, 0, 1) | |
if a != 0 or b != 0 | |
if 0 <= i + a < len(grid) | |
if 0 <= j + b < len(grid[0]) | |
if grid[i + a][j + b] == 0 | |
) | |
return getClearAdjacentCells | |
def getHeuristic(grid): | |
M, N = len(grid), len(grid[0]) | |
(a, b) = goal_cell = (M - 1, N - 1) | |
def getClearPathDistance(cell): | |
(i, j) = cell | |
return max(abs(a - i), abs(b - j)) | |
return getClearPathDistance | |
def shortestPathMap(grid): | |
shortest_path = aStarSearch( | |
(0, 0), | |
getGoal(grid), | |
getSuccessor(grid), | |
getHeuristic(grid) | |
) | |
if shortest_path is None or grid[0][0] == 1: | |
print('No solution') | |
else: | |
print("START => ", end="") | |
for (x, y) in shortest_path: | |
print((x,y), end=" => ") | |
grid[x][y] = '\u26ab' | |
print("GOAL\n") | |
for row in grid: | |
for cell in row: | |
print(f"{cell} ", end = " ") | |
print("\n") | |
maze = [ | |
[0,0,0,1,0,0,1,0], | |
[0,0,0,1,0,0,0,0], | |
[1,1,1,0,0,1,1,1], | |
[0,1,1,1,0,0,0,0], | |
[0,0,0,0,0,1,1,1], | |
[1,0,1,0,0,1,0,0], | |
[1,1,0,0,1,0,0,0], | |
[0,0,0,0,0,0,0,0] | |
] | |
shortestPathMap(maze) |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment