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maze.py
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maze.py
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"""
For function output_image to work and export the solution in a maze drawing in .png
you should install pillow first in your environment.
pip install pillow
or
pip install -r requirements.txt
It will output a .png image with the solution path in the Maze (yellow color).
If show_explored=True is given as argument into algorithm function,
it will show other paths followed( RED color) before finding the solution path
Usage: python maze.py maze.txt
"""
import os, sys
class Maze():
"""
A Maze representation, reads a maze scheme from .txt file and creates Maze object
source: https://cs50.harvard.edu/ai/2020/
"""
def __init__(self, filename):
this_dir = os.path.dirname(os.path.abspath(__file__))
my_data_path = os.path.join(this_dir, filename)
# Read file and set height and width of maze
with open(my_data_path) as f:
contents = f.read()
# Validate start and goal
if contents.count("A") != 1:
raise Exception("maze must have exactly one start point")
if contents.count("B") != 1:
raise Exception("maze must have exactly one goal")
# Determine height and width of maze
contents = contents.splitlines()
self.height = len(contents)
self.width = max(len(line) for line in contents)
# Keep track of walls
self.walls = []
for i in range(self.height):
row = []
for j in range(self.width):
try:
if contents[i][j] == "A":
self.start = (i, j)
row.append(False)
elif contents[i][j] == "B":
self.goal = (i, j)
row.append(False)
elif contents[i][j] == " ":
row.append(False)
else:
row.append(True)
except IndexError:
row.append(False)
self.walls.append(row)
self.solution = None
def print(self):
solution = self.solution[1] if self.solution is not None else None
print()
for i, row in enumerate(self.walls):
for j, col in enumerate(row):
if col:
print("█", end="")
elif (i, j) == self.start:
print("A", end="")
elif (i, j) == self.goal:
print("B", end="")
elif solution is not None and (i, j) in solution:
print("*", end="")
else:
print(" ", end="")
print()
print()
def neighbors_bb(self, action, state): #add action for BB path_cost arguments to work although not required for the maze
row, col = state
candidates = [
("up", (row - 1, col)),
("down", (row + 1, col)),
("left", (row, col - 1)),
("right", (row, col + 1))
]
result = []
for action, (r, c) in candidates:
if 0 <= r < self.height and 0 <= c < self.width and not self.walls[r][c]:
result.append((action, (r, c)))
return result
def neighbors(self, state):
row, col = state
candidates = [
("up", (row - 1, col)),
("down", (row + 1, col)),
("left", (row, col - 1)),
("right", (row, col + 1))
]
result = []
for action, (r, c) in candidates:
if 0 <= r < self.height and 0 <= c < self.width and not self.walls[r][c]:
result.append((action, (r, c)))
return result
def manhattan_distance(self, a, b):
distance = abs(a[0]-b[0]) + abs(a[1] - b[1])
print("MAnhatan distance: {}".format(distance))
return distance
def path_cost(self, a, b):
"""
the cost of moving to a new tile is always 1
this function is used in case a path cost is required as input for an algorithm (ex. Branch and Bound)
"""
return 1
def output_image(self, filename, show_solution=True, show_explored=False):
from PIL import Image, ImageDraw
cell_size = 50
cell_border = 2
# Create a blank canvas
img = Image.new(
"RGBA",
(self.width * cell_size, self.height * cell_size),
"black"
)
draw = ImageDraw.Draw(img)
solution = self.solution[1] if self.solution is not None else None
for i, row in enumerate(self.walls):
for j, col in enumerate(row):
# Walls
if col:
fill = (40, 40, 40)
# Start
elif (i, j) == self.start:
fill = (255, 0, 0)
# Goal
elif (i, j) == self.goal:
fill = (0, 171, 28)
# Solution
elif solution is not None and show_solution and (i, j) in solution:
fill = (220, 235, 113)
# Explored
elif solution is not None and show_explored and (i, j) in self.explored:
fill = (212, 97, 85)
# Empty cell
else:
fill = (237, 240, 252)
# Draw cell
draw.rectangle(
([(j * cell_size + cell_border, i * cell_size + cell_border),
((j + 1) * cell_size - cell_border, (i + 1) * cell_size - cell_border)]),
fill=fill
)
img.save(filename)
if len(sys.argv) != 2:
sys.exit("Usage: python maze.py maze.txt")
m = Maze(sys.argv[1])
print("Maze:")
m.print()
print("Solving...")
##Comment out or uncomment ''' to try the algorithms below:
#example of uninformed search
from libsearch import breadth_first_search
## using breadth_first_search and return number of explored states(num_explored) and closed frontier(explored) along with solution
m.solution, m.num_explored, m.explored = breadth_first_search(actions=m.neighbors, start=m.start, goal=m.goal, count_states=True, show_explored=True)
print(50*"*")
print("Solution variable: {}".format(m.solution))
print("Graphic Solution (Breadth first Search):")
m.print()
m.output_image("blind_breadth_fs.png", show_explored=True)
#example for informed search
'''
from libsearch import a_star, best_first_search
## using a_star and return number of explored states(num_explored) and closed frontier(explored) along with solution
m.solution, m.num_explored, m.explored = a_star(actions=m.neighbors, start=m.start, goal=m.goal, heuristic=m.manhattan_distance, count_states=True, show_explored=True)
print(50*"*")
print("Solution variable: {}".format(m.solution))
print("States Explored:", m.num_explored)
print("Graphic Solution (A Star):")
m.print()
m.output_image("informed_a_star.png", show_explored=True)
'''
'''
## using best_first_search and return number of explored states(num_explored) and closed frontier(explored) along with solution
m.solution, m.num_explored, m.explored = best_first_search(actions=m.neighbors, start=m.start, goal=m.goal, heuristic=m.manhattan_distance, count_states=True, show_explored=True)
print(50*"*")
print("Solution variable: {}".format(m.solution))
print("States Explored:", m.num_explored)
print("Graphic Solution (Best First Search):")
m.print()
m.output_image("informed_best_fs.png", show_explored=True)
'''