Python实现随机生成迷宫并自动寻路

Python深搜版：

核心在于带随机的深搜（见代码第23到27行，其实也可以用22行代替这几行代码，你可以试着把第24行的数字4改大或者改小，即调整随机程度）

import os
import random
from queue import Queue
import numpy
import colorama
from colorama import Fore, Back, Style
import sys   

from bmpEditor import bmp

colorama.init()


# numpy.random.seed(1)
_xy = [0,2,0,-2,0]
size = 31
sys.setrecursionlimit(100000000)

road = set()
def dfs(curr_pos):
	road.add(curr_pos)
	# for i in numpy.random.permutation(4):
	p = [0,1,2,3]
	for i in range(4):
		l = random.randint(0,3)
		r = random.randint(0,3)
		p[l], p[r] = p[r], p[l]
	for i in p:
		next_pos = (curr_pos[0] + _xy[i], curr_pos[1] + _xy[i+1])
		if (0<=next_pos[0]<size and
			0<=next_pos[1]<size and
			next_pos not in road ):
			
			road.add(((curr_pos[0] + next_pos[0])/2, (curr_pos[1] + next_pos[1])/2))
			dfs(next_pos)

dfs((0,0))

q = Queue()
q.put((0,0))
ans_road = set()
def dfs_getans(curr_pos):
	# print(curr_pos)
	ans_road.add(curr_pos)
	if (size-1, size-1) in ans_road:
		return
	for i in range(4):
		next_pos = (curr_pos[0] + _xy[i]//2, curr_pos[1] + _xy[i+1]//2)
		if (0<=next_pos[0]<size and
			0<=next_pos[1]<size and
			next_pos in road and
			next_pos not in ans_road and
			(size-1, size-1) not in ans_road):
			
			dfs_getans(next_pos)
	if (size-1, size-1) not in ans_road:
		ans_road.remove(curr_pos)

dfs_getans((0,0))

for i in range(size):
	for j in range(size):
		print((Back.WHITE + ' ') if (i,j) in road else (Back.BLACK + ' '), end=' ')
	print()


wall_width = 2
cell_size = 6
image = bmp((size+3)*cell_size-wall_width, (size+3)*cell_size-wall_width, 0x000000)
for i in range(size+3):
	for j in range(size+3):
		if (i-1, j-1) in road:
			image.paint_rect(i*cell_size, j*cell_size, cell_size*2-wall_width, cell_size*2-wall_width, 0xffffff)

file_name = "%dmaze.bmp"%size
image.save_image(file_name)
os.system(file_name)

for p in ans_road:
	# image.paint_rect(p[0]+1, p[1]+1)
	image.paint_rect((
		p[0]+1)*cell_size + (cell_size - wall_width)//2,
		(p[1]+1)*cell_size + (cell_size - wall_width)//2,
		cell_size, cell_size,
		0xff0000
	)

file_name = "%dans.bmp"%size
image.save_image(file_name)
os.system(file_name)

效果

3131：

8181：

坐标系有翻转，控制台中的左上角对应图片中的左下角

其中bmpEditor不是官方库，代码地址（文件名为bmpEditor.py，和这以上代码放同一个路径下即可）

Python 广搜版

在队列的基础上把队列中的元素顺序打乱（第24行）

import os
import random
from queue import Queue
import numpy
import colorama
from colorama import Fore, Back, Style
import sys   
import random   

from bmpEditor import bmp
colorama.init()


numpy.random.seed(1)
_xy = [0,2,0,-2,0]
size = 59
sys.setrecursionlimit(size*size//4+size)

q = []
q.append((0,0))
road = set()
road.add((0,0))
while len(q) != 0:
	random.shuffle(q)
	curr_pos = q.pop()
	# print(curr_pos)
	for i in range(4):
		next_pos = (curr_pos[0] + _xy[i], curr_pos[1] + _xy[i+1])
		if (	0<=next_pos[0]<size and
				0<=next_pos[1]<size and
				next_pos not in road ):
			road.add( ((curr_pos[0] + next_pos[0])//2, (curr_pos[1] + next_pos[1])//2) )
			q.append(next_pos)
			road.add(next_pos)

ans_road = set()
def dfs_getans(curr_pos):
	ans_road.add(curr_pos)
	if (size-1, size-1) in ans_road:
		return
	for i in range(4):
		next_pos = (curr_pos[0] + _xy[i]//2, curr_pos[1] + _xy[i+1]//2)
		if (	0<=next_pos[0]<size and
				0<=next_pos[1]<size and
				next_pos in road and
				next_pos not in ans_road and
				(size-1, size-1) not in ans_road):
			dfs_getans(next_pos)
	if (size-1, size-1) not in ans_road:
		ans_road.remove(curr_pos)

dfs_getans((0,0))
print(len(ans_road))

for i in range(0, size):
	for j in range(0, size):
		print((Back.WHITE + ' ') if (i,j) in road else (Back.BLACK + ' '), end=' ')
	print()
wall_width = 1
cell_size = 5
image = bmp((size+3)*cell_size-wall_width, (size+3)*cell_size-wall_width, 0x000000)
for i in range(size+3):
	for j in range(size+3):
		if (i-1, j-1) in road:
			image.paint_rect(i*cell_size, j*cell_size, cell_size*2-wall_width, cell_size*2-wall_width, 0xffffff)

file_name = "%dmaze.bmp"%size
image.save_image(file_name)
os.system(file_name)

for p in ans_road:
	# image.paint_rect(p[0]+1, p[1]+1)
	image.paint_rect((
		p[0]+1)*cell_size + (cell_size - wall_width)//2,
		(p[1]+1)*cell_size + (cell_size - wall_width)//2,
		cell_size, cell_size,
		0xff0000
	)

file_name = "%dans.bmp"%size
image.save_image(file_name)
os.system(file_name)

效果：

相比深度优先的，这种迷宫会更加“直”一些

lua版：

大体上是深搜，加了一定的随机性使得搜索过程中有一定概率暂时放弃当前路径。见表stop_points，（第7行、第74行及其后面的repeat循环）

local _xy = {0,2,0,-2,0}
local size = 41
local base = size+1
local road = {}

stop_points = {}
function dfs(curr_x, curr_y)
	road[curr_x*base+curr_y] = true
	if math.random(1,10) <= 3 then
		stop_points[curr_x*base+curr_y] = true
		return
	end
	-- os.execute("cls")
	-- print_map()
	local permutation = {1,2,3,4}
	for i=1, 4 do
		local l = math.random(1,4)
		local r = math.random(1,4)
		permutation[l], permutation[r] = permutation[r], permutation[l]
	end

	for i=1, 4 do
		local next_x = curr_x+_xy[permutation[i]]
		local next_y = curr_y+_xy[permutation[i]+1]
		if  next_x>=1 and next_x<=size and
			next_y>=1 and next_y<=size and
			road[next_x*base+next_y] == nil then

			local mid_x = math.floor((curr_x+next_x)/2)
			local mid_y = math.floor((curr_y+next_y)/2)
			road[mid_x*base+mid_y] = true
			dfs(next_x, next_y)
		end
	end
end

local ans_geted = false
local parent = {}
function get_ans(curr_x, curr_y)
	-- print(curr_x, curr_y)
	for i=1, 4 do
		next_x =  (curr_x + math.floor(_xy[i])/2 )
		next_y =  (curr_y + math.floor(_xy[i+1])/2 )
		-- print(next_x, next_y)
		if  next_x >= 1 and next_x <= size and
			next_y >= 1 and next_y <= size and
			road[next_x*base+next_y] and
			parent[next_x*base+next_y]==nil
		then
			parent[next_x*base+next_y] = curr_x*base+curr_y
			get_ans(next_x, next_y)
		end
	end

end

local ans_road = {}
function print_map()
	for i=0, size+1 do
		local line = ""
		for j=0, size+1 do
			if ans_road [i*base+j] then
				line = line..".."
			elseif road[i*base+j]==true then
				line = line.."  "
			else
				line = line.."HH"
			end
		end
		print(line)
	end
end

stop_points[1*base+1] = true

-- create maze
repeat
	local has_point = false
	for v,_ in pairs(stop_points) do
		has_point = true
		stop_points[v] = nil
		dfs(math.floor(v/base), v%base)
		break
	end
	-- print(has_point)
until not has_point


get_ans(1,1)
parent[1*base+1] = nil
print("")
-- for k,v in pairs(parent) do
-- 	print(string.format("[%d,%d]->[%d,%d]", math.floor(k/base), k%base, math.floor(v/base), v%base))
-- end
print("")
local x = size
local y = size
repeat
	-- print(x,y)
	ans_road[x*base+y] = true
	local v = parent[x*base+y]
	x = math.floor(v/base)
	y = v%base
until --[[(x==1 and y== 1)]] not parent[x*base+y]
ans_road[1*base+1] = true

print_map()

效果：

4141：

8989

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