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)
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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)
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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)
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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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原文链接:https://blog.csdn.net/qq_44103902/article/details/113667106