本文介绍了如何利用广度优先搜索算法解决连连看游戏中的匹配消除问题，通过改进搜索策略，实现高效的游戏逻辑判断。
图算法相关文章是上个月写的，但是现在回过头看，确感觉有点生疏了。作为一名程序员，可能一辈子用别人封装好的算法模块，就足够了。工作中运用不到，虽然一时学习了，但久了就生疏了。所以，今天想在博客，与大家探讨下，我的目标不是要生硬的学习的什么牛逼算法，希望能够简单的展示、学习好玩的创意。
一、广度优先搜索的应用
1、连连看小游戏
玩过连连看游戏的都知道，都知道连连看的游戏规则，点击两个相同的图案，如果两个图形间存在一条路径，这条路径的拐弯少于3个，那么这两个图形可以消掉。这里我们可以通过广度优先搜索，来判断是否可以消掉。
| 图1 | ||||||
| 图2 | 图2 | 图2 | 图2 | 图2 | ||
| 图1 | 图2 | |||||
| 图2 |
如果情况如上图所示，两个图1可以相消
1.1、运用广度优先搜索来判断是否应该两个图形应该消掉？
广度优先搜索，可以获取两点的最短距离（最少边数），这里我们要取得最少拐弯数，所以我们可以对广度优先搜素算法，做一些改进。
首先我们回顾下广度优先搜索：
1、初始化，将所有点的距离设置为正无穷，父亲null
2、从出发点s出发，设置s的距离为0，父亲为NULL
3、将s插入最小堆que（距离最小的在最前面）
4、取que中距离最小的顶点v
5、搜索v相邻的顶点e，如果顶点e的距离 > d(v) + 1,那么顶点s到e的距离为d(v)+1，e的父亲为v，将e插入que
连连看相关修改
5、搜索v的相邻顶点e，如果顶点e的拐弯数 > guaiwan(v,e),那么顶点s到e的拐弯数为guaiwan(v,e),e的父亲为的v或者v的父亲，将e插入que
1.2 游戏代码（用cocos2d实现的游戏，算法部分比较乱，大家见谅）
'''
Created on 2013-1-7
@author: wolf
'''
#!/usr/bin/python
# -*- coding: utf-8 -*-
#coding=utf-8
#this linkgame body
import cocos
from cocos.director import director
import pyglet
from pyglet.gl import *
#backgroud x = 601 y = 801
class BackGroudLayer(cocos.layer.Layer):
def __init__(self):
super(BackGroudLayer,self).__init__()
self.img = pyglet.resource.image('background.png')
def draw(self):
#the back is black
glClearColor(1,1,1,0)
glColor3f(1.0,1, 1);
glPushMatrix()
self.transform()
self.img.blit(0,0)
glPopMatrix()
#X
COLUMNS=15
#Y
ROWS=28
#square size
SQUARE_SIZE = 29
'''
draw thr grid
'''
class gridLayer(cocos.layer.Layer):
def __init__(self):
super(gridLayer,self).__init__()
width, height = director.get_window_size()
self.xOffset = width/2.0 - COLUMNS * SQUARE_SIZE / 2.0
self.yOffset = 0
self.position = (self.xOffset, self.yOffset )
clayer = cocos.layer.ColorLayer( 112,66,20,50, width = COLUMNS * SQUARE_SIZE, height=ROWS * SQUARE_SIZE )
self.add( clayer, z= 0)
def draw(self):
super( gridLayer, self).draw()
glLineWidth (GLfloat(1.0));
glColor3f(0.5,0.5,1 );
x_s = self.xOffset
y_s = 0
width = COLUMNS * SQUARE_SIZE
height=ROWS * SQUARE_SIZE
for i in range(COLUMNS+1):
glBegin(GL_LINE_LOOP);
glVertex2f(x_s,height)
glVertex2f(x_s,0)
glEnd()
x_s = x_s + SQUARE_SIZE
for i in range(ROWS + 1):
glBegin(GL_LINE_LOOP);
glVertex2f(self.xOffset+width ,y_s)
glVertex2f(self.xOffset,y_s)
y_s = y_s + SQUARE_SIZE
glEnd()
return
class lattice:
pX = None
pY = None
parent = None
scores = 100
def __init__(self,gId,i,j,sp):
self.gId = gId
self.pX = i
self.pY = j
self.sp = sp
def printss(self):
print '%s\t%s\t%s' % (self.pX,self.pY,self.gId)
def latCmp(lat1,lat2):
return lat1.scores < lat2.scores
class gameLayer(cocos.layer.Layer):
is_event_handler = True
def __init__(self):
super(gameLayer,self).__init__()
self.borad = []
for i in range(COLUMNS):
t = []
for j in range(ROWS):
t.append(lattice(None,i,j,None))
self.borad.append(t)
self.times = 0
self.sp_name = ["block_blue.png","block_cyan.png","block_magenta.png"]
width, height = director.get_window_size()
self.xOffset = width/2.0 - COLUMNS * SQUARE_SIZE / 2.0
self.yOffset = 0
self.last_press = [None,None]
self.now_press = [None,None]
def on_mouse_press(self, x, y, buttons, modifiers):
px,py = director.get_virtual_coordinates (x, y)
num = self.times % 3
self.times = self.times + 1
x_n =(int) (px - self.xOffset) / SQUARE_SIZE
y_n =(int) (py - self.yOffset ) / SQUARE_SIZE
if x_n < 0 or x_n >= COLUMNS:
return
if y_n < 0 or y_n >= ROWS:
return
if self.borad[x_n][y_n].sp != None:
self.BSF_DISK(x_n,y_n)
return
newPng = cocos.sprite.Sprite(self.sp_name[num])
newPng.position = self.xOffset + (x_n+0.5)*SQUARE_SIZE ,self.yOffset + (y_n+0.5) * SQUARE_SIZE
self.borad[x_n][y_n].sp = newPng
self.borad[x_n][y_n].gId = num
self.add(newPng,z=0)
def draw1(self,x_n,y_n,num = 0):
newPng = cocos.sprite.Sprite(self.sp_name[num])
newPng.position = self.xOffset + (x_n+0.5)*SQUARE_SIZE ,self.yOffset + (y_n+0.5) * SQUARE_SIZE
self.add(newPng,z=0)
def BSF_DISK(self,x,y):
if self.last_press[0] != None:
self.now_press[0] = x
self.now_press[1] = y
else:
self.last_press[0] = x
self.last_press[1] = y
if self.last_press[0] != None and self.now_press[0] != None:
now = self.borad[self.now_press[0]][self.now_press[1]]
last = self.borad[self.last_press[0]][self.last_press[1]]
print now.printss()
print last.printss()
self.BFS_Lat(last,now)
self.last_press = [None,None]
self.now_press = [None,None]
return
def BFS_Lat(self,lat1,lat2):
if lat1.pX == lat2.pX and lat1.pY == lat2.pY or lat1.gId != lat2.gId :
return -1
for item1 in self.borad:
for item2 in item1:
item2.parent = None
item2.scores = 100
que = [lat1]
lat1.parent = lat1
lat1.scores = 0
#print "BFS_Lat***********************************1"
while len(que):
que.sort(latCmp)
item = que[0]
if item.scores > 2:
break
que = que[1:]
#print "BFS_Lat***********************************2"
for x,y in [(item.pX,item.pY+1),(item.pX,item.pY-1),
(item.pX+1,item.pY),(item.pX-1,item.pY)]:
if x >= COLUMNS or x < 0 or y >= ROWS or y < 0:
continue
newLat = self.borad[x][y]
if newLat.parent == item.parent:
continue
if newLat.gId != None and (newLat.pX == lat2.pX and newLat.pY == lat2.pY) != True:
continue
newLat.printss()
#print "BFS_Lat***********************************3"
if item.parent.pX == newLat.pX and newLat.pX == item.pX:
#print "BFS_Lat BFS***************************2"
self.BFS(que,newLat,"x",item.scores,item.parent,lat2)
elif item.parent.pY == newLat.pY and newLat.pY == item.pY:
#print "BFS_Lat BFS***************************3"
self.BFS(que,newLat,"y",item.scores,item.parent,lat2)
else:
if newLat.scores == None or newLat.scores > item.scores + 1:
newLat.scores = item.scores + 1
newLat.parent = item
que.append(newLat)
#self.draw1(x,y,num=1)
#print "BFS_Lat***********************************4"
if self.borad[lat2.pX][lat2.pY].scores < 3:
break
#print "BFS_Lat***********************************5"
#break
if self.borad[lat2.pX][lat2.pY].scores < 3:
break
if self.borad[lat2.pX][lat2.pY].scores < 3:
#print "BFS_Lat***********************************6"
self.borad[lat2.pX][lat2.pY].gId = None
self.borad[lat1.pX][lat1.pY].gId = None
self.remove(lat1.sp)
self.remove(lat2.sp)
lat1.sp = None
lat2.sp = None
#print "BFS_Lat***********************************7"
return
def BFS(self,que,lat,direction,socres,p,lat2):
if direction == "x":
if lat.pY < p.pY:
y = lat.pY
while y >= 0:
if self.borad[p.pX][y].gId != None and (p.pX == lat2.pX and y == lat2.pY) != True:
y = y - 1
return
if self.borad[p.pX][y].scores == None or self.borad[p.pX][y].scores > socres:
self.borad[p.pX][y].scores = socres
self.borad[p.pX][y].parent = p
que.append(self.borad[p.pX][y])
#self.draw1(p.pX,y)
y = y - 1
else:
y = lat.pY
while y < ROWS:
if self.borad[p.pX][y].gId != None and (p.pX == lat2.pX and y == lat2.pY) != True:
y = y + 1
return
if self.borad[p.pX][y].scores == None or self.borad[p.pX][y].scores > socres:
self.borad[p.pX][y].scores = socres
self.borad[p.pX][y].parent = p
que.append(self.borad[p.pX][y])
#self.draw1(p.pX,y)
y = y + 1
elif direction == "y":
if lat.pX < p.pX:
x = lat.pX
while x >= 0:
if self.borad[x][p.pY].gId != None and (x == lat2.pX and p.pY == lat2.pY) != True:
x = x - 1
return
if self.borad[x][p.pY].scores == None or self.borad[x][p.pY].scores > socres:
self.borad[x][p.pY].scores = socres
self.borad[x][p.pY].parent = p
que.append(self.borad[x][p.pY])
#self.draw1(x, p.pY)
x = x - 1
else:
x = lat.pX
while x < COLUMNS:
if self.borad[x][p.pY].gId != None and (x == lat2.pX and p.pY == lat2.pY) != True:
x = x + 1
return
if self.borad[x][p.pY].scores == None or self.borad[x][p.pY].scores > socres:
self.borad[x][p.pY].scores = socres
self.borad[x][p.pY].parent = p
que.append(self.borad[x][p.pY])
#self.draw1(x, p.pY)
x = x + 1
def main():
from cocos.director import director
#the init height is the size of BackGroudLayer
director.init(resizable=True, width=600, height=720)
scene = cocos.scene.Scene(BackGroudLayer())
scene.add(gridLayer(),z=1)
scene.add(gameLayer(),z= 2)
director.run(scene)
if __name__ == "__main__":
main()
扫一扫
被折叠的 条评论
为什么被折叠?
到【灌水乐园】发言
