目录

生命游戏

主要代码

1.头文件

 2.移动光标

3.显示结果

4.运算部分

5.int main

修改

 bug1

 bug2

 bug3

 bug4

完整代码


生命游戏

由剑桥大学约翰·何顿·康威设计的计算机程序。美国趣味数学大师马丁·加德纳(Martin Gardner,1914-2010)通过《科学美国人》杂志,将康威的生命游戏介绍给学术界之外的广大渎者,一时吸引了各行各业一大批人的兴趣,这时细胞自动机课题才吸引了科学家的注意。

游戏概述
用一个二维表格表示“生存空间”,空间的每个方格中都可放置一个生命细胞,每个生命细胞只有两种状态:“生”或“死”。用绿色方格表示该细胞为“生”,空格(白色)表示该细胞为“死”。或者说方格网中绿色部分表示某个时候某种“生命”的分布图。生命游戏想要模拟的是:随着时间的流逝,这个分布图将如何一代一代地变化。死亡太沉重,我想称它为“湮灭”状态。

生存定律
生存空间的每个方格都存在一个细胞,它的周边紧邻的8个方格上的称为邻居细胞。
(1)当前细胞为湮灭状态时,当周围有3个存活细胞时,则迭代后该细胞变成存活状态(模拟繁殖)。
(2)当前细胞为存活状态时,当周围的邻居细胞少于2个存活时,该细胞变成湮灭状态(数量稀少)。
(3)当前细胞为存活状态时,当周围有3个以上的存活细胞时,该细胞变成湮灭状态(数量过多)。
(4)当前细胞为存活状态时,当周围有2个或3个存活细胞时,该细胞保持原样。

简单来说,活细胞Cell看作是‘1’,死Cell看作‘0’,8个邻居的累加和Sum决定了下一轮的状态:

“繁殖”:死Cell=0,若Sum=3,则Cell=1。
“稀少”:活Cell=1,若Sum<2,则Cell=0。
“过多”:活Cell=1,若Sum>3,则Cell=0。
“正常”:活Cell=1,若Sum=2或3,则Cell=1。

生存空间中生命的繁殖和湮灭,如下图所示:

图形结构
在游戏进行中,杂乱无序的细胞会逐渐演化出各种精致、有形的图形结构;这些结构往往有很好的对称性,而且每一代都在变化形状。一些形状一经锁定就不会逐代变化。有时,一些已经成形的结构会因为一些无序细胞的“入侵”而被破坏。但是形状和秩序经常能从杂乱中产生出来。

通常会有以下四种状态:

不动点(fixed points):变化终结于恒定图像
交替态(alternation):图像出现周期性变化
随机态(randomness):图像变化近乎随机
复杂态(complexity):图像存在某种复杂规律

(以上为参考资料)


版权声明:本文为CSDN博主「Hann Yang」的原创文章,遵循CC 4.0 BY-SA版权协议,转载请附上原文出处链接及本声明。
原文链接:https://blog.csdn.net/boysoft2002/article/details/126131069

接下来,我们就用C++来尝试一下吧。 

主要代码

1.头文件

#include<iostream>
#include<conio.h>
#include<windows.h> 
#include<stdlib.h>
#include<time.h>  
using namespace std;
#define GEN 99999
#define N 39
int a[N][N][GEN];
int nock;

GEN是代数,N是地图大小,都可以修改。 

 2.移动光标

void gotoxy(int x, int y){
	HANDLE handle = GetStdHandle(STD_OUTPUT_HANDLE);
	COORD pos;
	pos.X = x;
	pos.Y = y;
	SetConsoleCursorPosition(handle, pos);
}

3.显示结果

void show(int g){
	gotoxy(0, 0);//移动到首格
	int i, j,kk;
	cout << "第" << g<< "代" << endl << "--------------------------------------------------------------------------------" << endl;
	for (i = 0;i < N;i++){//打印的行数
		for (j = 0;j < N;j++){//打印的列数
			if (a[i][j][g] ==1){//存活的细胞
			    cout  <<"■";
                kk++;
		    }else{
		        if (a[i][j][g] ==0){//死亡的细胞
				    cout  <<" ";
		   	    }
		    }
		}
        cout<<endl;
	}
		cout<< "--------------------------------------------------------------------------------" << endl<<"细胞数量:"<<kk<<"个"<<endl;
    kk=0;
}

4.运算部分

void update(int k)
{
	int i,j, count = 0;
		for (i = 0;i < N;i++)
			for (j = 0;j < N;j++)
			{
				count = 0;
				if (i == 0 && j == 0)
				{
					if (a[i][j + 1][k] == 1)
						count++;
					else if (a[i + 1][j][k] == 1)
						count++;
					else if (a[i + 1][j + 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					else if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					else if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (i == 0 && j != 0 && j != N - 1)
				{
					if (a[i][j - 1][k] == 1)
						count++;
					if (a[i][j + 1][k] == 1)
						count++;
					if (a[i + 1][j - 1][k] == 1)
						count++;
					if (a[i + 1][j][k] == 1)
						count++;
					if (a[i + 1][j + 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (i == 0 && j == N - 1)
				{
					if (a[i][j - 1][k] == 1)
						count++;
					if (a[i + 1][j - 1][k] == 1)
						count++;
					if (a[i + 1][j][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (i != 0 && i != N - 1 && j == 0)
				{
					count = 0;
					if (a[i - 1][j][k] == 1)
						count++;
					if (a[i - 1][j + 1][k] == 1)
						count++;
					if (a[i][j + 1][k] == 1)
						count++;
					if (a[i + 1][j][k] == 1)
						count++;
					if (a[i + 1][j + 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (i == N - 1 && j == 0)
				{
					count = 0;
					if (a[i - 1][j][k] == 1)
						count++;
					if (a[i - 1][j + 1][k] == 1)
						count++;
					if (a[i][j + 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (i == N - 1 && j != 0 && j != N - 1)
				{
					count = 0;
					if (a[i - 1][j - 1][k] == 1)
						count++;
					if (a[i - 1][j][k] == 1)
						count++;
					if (a[i - 1][j + 1][k] == 1)
						count++;
					if (a[i][j - 1][k] == 1)
						count++;
					if (a[i][j + 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (j == N - 1 && i != 0 && i != N - 1)
				{
					count = 0;
					if (a[i - 1][j - 1][k] == 1)
						count++;
					if (a[i - 1][j][k] == 1)
						count++;
					if (a[i][j - 1][k] == 1)
						count++;
					if (a[i + 1][j - 1][k] == 1)
						count++;
					if (a[i + 1][j][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (i == N - 1 && j == N - 1)
				{
					count = 0;
					if (a[i - 1][j - 1][k] == 1)
						count++;
					if (a[i - 1][j][k] == 1)
						count++;
					if (a[i][j - 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				else if (i != 0 && j != 0 && i != N - 1 && j != N - 1)
				{
					count = 0;
					if (a[i - 1][j - 1][k] == 1)
						count++;
					if (a[i - 1][j][k] == 1)
						count++;
					if (a[i - 1][j + 1][k] == 1)
						count++;
					if (a[i][j - 1][k] == 1)
						count++;
					if (a[i][j + 1][k] == 1)
						count++;
					if (a[i + 1][j - 1][k] == 1)
						count++;
					if (a[i + 1][j][k] == 1)
						count++;
					if (a[i + 1][j + 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
			}
}

5.int main

int main(){
	system("color F0");//黑框子太难看了,换个颜色
	int i, j, k, count;
	srand(time(NULL));
	for (i = 0;i <  N ;i++)
		for (j = 0 ;j <  N ;j++)
			a[i][j][0] = rand() %2;
	for (i = 0;i < GEN;i++)
	{
		show(i);
        update(i);
		Sleep(200);//停顿200毫秒
	}
	return 0;
}

修改

bug1

然而,我编完后看了下结果,不禁怀疑我自己编出来个什么玩意儿,至少应该最大化然后居中一下(才能符合强迫症的美感)才能显示完整。

void full(){   //最大化居中
    HWND hwnd = GetForegroundWindow();
    int cx = GetSystemMetrics(SM_CXSCREEN); 
    int cy = GetSystemMetrics(SM_CYSCREEN); 
    LONG l_WinStyle = GetWindowLong(hwnd,GWL_STYLE);
    SetWindowLong(hwnd,GWL_STYLE,(l_WinStyle | WS_POPUP | WS_MAXIMIZE) & ~WS_CAPTION & ~WS_THICKFRAME & ~WS_BORDER);
    SetWindowPos(hwnd, HWND_TOP,300,0, cx, cy, 0);
}

 bug2

OK,这个问题解决了,只不过这个光标看起来也太难受了吧!于是我就解决(显摆)了下。

 

void hide(){//隐藏光标
	HANDLE han = GetStdHandle(-11);
    CONSOLE_CURSOR_INFO cursor;
    cursor.bVisible = 0;
    cursor.dwSize = 1;
    SetConsoleCursorInfo(han,&cursor);
}

 bug3

还有一个最重要的问题,这……输出地也太卡了吧!必须得改!

void show(int g){
	gotoxy(0, 0);
	int i, j,kk[GEN],nn,ii,jj,num;
	cout << "第" << g<< "代" << endl << "--------------------------------------------------------------------------------" << endl;
	for (i = 0;i < N;i++){
		for (j = 0;j < N;j++){
			if (a[i][j][g] ==1==true&&a[i][j][g-1] ==0==true){
			   	ii=i*2;
			   	jj=j+2;
			   	gotoxy(ii,jj);
			    cout  <<"■";
		    }
		    if (a[i][j][g-1] == 1==true&&a[i][j][g] == 0==true){
			    ii=i*2;
			    jj=j+2;
			    gotoxy(ii,jj);
				cout  <<" ";
		   	}
		    if (a[i][j][g] ==1){
			    kk[g]++;
		    }
		}
	}
	if(kk[g]!=kk[g-1]){
		gotoxy(0,N+2);
		cout<< "--------------------------------------------------------------------------------" << endl<<"细胞数量:"<<kk[g]<<"个"<<endl;
	}
}

这样写省下了很多不必要的时间,测试一下,前20代还是有点慢,但后面简直快得飞起,于是我也改了下int main:

int main(){
	system("color F0");
	full();
	hide();
	int i, j, k, count;
	srand(time(NULL));
	for (i = 0;i <  N ;i++)
		for (j = 0 ;j <  N ;j++)
			a[i][j][0] = rand() %2;
	for (i = 0;i < GEN;i++)
	{
		show(i);
		update(i);
		if(i>20){
			Sleep(50);
		}//大于20代就等待50微秒
	}
	return 0;
}

bug4

最后一个问题,总是会陷入死循环,于是我做了一个检测到循环就暂停的装置。

void show(int g){
	gotoxy(0, 0);
	int i, j,kk[GEN],nn,ii,jj,num;
	cout << "第" << g<< "代" << endl << "--------------------------------------------------------------------------------" << endl;
	for (i = 0;i < N;i++){
		for (j = 0;j < N;j++){
			if (a[i][j][g] ==1==true&&a[i][j][g-1] ==0==true){
			   	ii=i*2;
			   	jj=j+2;
			   	gotoxy(ii,jj);
			    cout  <<"■";
		    }
		    if (a[i][j][g-1] == 1==true&&a[i][j][g] == 0==true){
			    ii=i*2;
			    jj=j+2;
			    gotoxy(ii,jj);
				cout  <<" ";
		   	}
		    if(a[i][j][g]==1==true&&a[i][j][g-16]==1==true){
		    	num++;
			}
		    if (a[i][j][g] ==1){
			    kk[g]++;
		    }
		}
	}
	if(kk[g]!=kk[g-1]){
		gotoxy(0,N+2);
		cout<< "--------------------------------------------------------------------------------" << endl<<"细胞数量:"<<kk[g]<<"个"<<endl;
	}else{
		if(num==kk[g]){
			nock=5;
		}
	}
}
int main(){
	system("color F0");
	full();
	hide();
	int i, j, k, count;
	srand(time(NULL));
	for (i = 0;i <  N ;i++)
		for (j = 0 ;j <  N ;j++)
			a[i][j][0] = rand() %2;
	for (i = 0;i < GEN;i++)
	{
		show(i);
		if(nock==5){
			gotoxy(0,N+3);
			cout<<"陷入循环!"; 
			while(1){
				Sleep(10);
			}
		}
		update(i);
		if(i>20){
			Sleep(50);
		}
	}
	return 0;
}

完整代码

#include<iostream>
#include<conio.h>
#include<windows.h> 
#include<stdlib.h>
#include<time.h>  
using namespace std;
#define GEN 99999
#define N 39
int a[N][N][GEN];
int nock;
void hide(){
	HANDLE han = GetStdHandle(-11);
    CONSOLE_CURSOR_INFO cursor;
    cursor.bVisible = 0;
    cursor.dwSize = 1;
    SetConsoleCursorInfo(han,&cursor);
}
void full(){   
    HWND hwnd = GetForegroundWindow();
    int cx = GetSystemMetrics(SM_CXSCREEN); 
    int cy = GetSystemMetrics(SM_CYSCREEN); 
    LONG l_WinStyle = GetWindowLong(hwnd,GWL_STYLE);
    SetWindowLong(hwnd,GWL_STYLE,(l_WinStyle | WS_POPUP | WS_MAXIMIZE) & ~WS_CAPTION & ~WS_THICKFRAME & ~WS_BORDER);
    SetWindowPos(hwnd, HWND_TOP,300,0, cx, cy, 0);
}
void gotoxy(int x, int y){
	HANDLE handle = GetStdHandle(STD_OUTPUT_HANDLE);
	COORD pos;
	pos.X = x;
	pos.Y = y;
	SetConsoleCursorPosition(handle, pos);
}
void show(int g){
	gotoxy(0, 0);
	int i, j,kk[GEN],nn,ii,jj,num;
	cout << "第" << g<< "代" << endl << "--------------------------------------------------------------------------------" << endl;
	for (i = 0;i < N;i++){
		for (j = 0;j < N;j++){
			if (a[i][j][g] ==1==true&&a[i][j][g-1] ==0==true){
			   	ii=i*2;
			   	jj=j+2;
			   	gotoxy(ii,jj);
			    cout  <<"■";
		    }
		    if (a[i][j][g-1] == 1==true&&a[i][j][g] == 0==true){
			    ii=i*2;
			    jj=j+2;
			    gotoxy(ii,jj);
				cout  <<" ";
		   	}
		    if(a[i][j][g]==1==true&&a[i][j][g-16]==1==true){
		    	num++;
			}
		    if (a[i][j][g] ==1){
			    kk[g]++;
		    }
		}
	}
	if(kk[g]!=kk[g-1]){
		gotoxy(0,N+2);
		cout<< "--------------------------------------------------------------------------------" << endl<<"细胞数量:"<<kk[g]<<"个"<<endl;
	}else{
		if(num==kk[g]){
			nock=5;
		}
	}
}
void update(int k)
{
	int i,j, count = 0;
		for (i = 0;i < N;i++)
			for (j = 0;j < N;j++)
			{
				count = 0;
				if (i == 0 && j == 0)
				{
					if (a[i][j + 1][k] == 1)
						count++;
					else if (a[i + 1][j][k] == 1)
						count++;
					else if (a[i + 1][j + 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					else if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					else if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (i == 0 && j != 0 && j != N - 1)
				{
					if (a[i][j - 1][k] == 1)
						count++;
					if (a[i][j + 1][k] == 1)
						count++;
					if (a[i + 1][j - 1][k] == 1)
						count++;
					if (a[i + 1][j][k] == 1)
						count++;
					if (a[i + 1][j + 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (i == 0 && j == N - 1)
				{
					if (a[i][j - 1][k] == 1)
						count++;
					if (a[i + 1][j - 1][k] == 1)
						count++;
					if (a[i + 1][j][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (i != 0 && i != N - 1 && j == 0)
				{
					count = 0;
					if (a[i - 1][j][k] == 1)
						count++;
					if (a[i - 1][j + 1][k] == 1)
						count++;
					if (a[i][j + 1][k] == 1)
						count++;
					if (a[i + 1][j][k] == 1)
						count++;
					if (a[i + 1][j + 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (i == N - 1 && j == 0)
				{
					count = 0;
					if (a[i - 1][j][k] == 1)
						count++;
					if (a[i - 1][j + 1][k] == 1)
						count++;
					if (a[i][j + 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (i == N - 1 && j != 0 && j != N - 1)
				{
					count = 0;
					if (a[i - 1][j - 1][k] == 1)
						count++;
					if (a[i - 1][j][k] == 1)
						count++;
					if (a[i - 1][j + 1][k] == 1)
						count++;
					if (a[i][j - 1][k] == 1)
						count++;
					if (a[i][j + 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (j == N - 1 && i != 0 && i != N - 1)
				{
					count = 0;
					if (a[i - 1][j - 1][k] == 1)
						count++;
					if (a[i - 1][j][k] == 1)
						count++;
					if (a[i][j - 1][k] == 1)
						count++;
					if (a[i + 1][j - 1][k] == 1)
						count++;
					if (a[i + 1][j][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				if (i == N - 1 && j == N - 1)
				{
					count = 0;
					if (a[i - 1][j - 1][k] == 1)
						count++;
					if (a[i - 1][j][k] == 1)
						count++;
					if (a[i][j - 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
				else if (i != 0 && j != 0 && i != N - 1 && j != N - 1)
				{
					count = 0;
					if (a[i - 1][j - 1][k] == 1)
						count++;
					if (a[i - 1][j][k] == 1)
						count++;
					if (a[i - 1][j + 1][k] == 1)
						count++;
					if (a[i][j - 1][k] == 1)
						count++;
					if (a[i][j + 1][k] == 1)
						count++;
					if (a[i + 1][j - 1][k] == 1)
						count++;
					if (a[i + 1][j][k] == 1)
						count++;
					if (a[i + 1][j + 1][k] == 1)
						count++;
					if (count <= 1 || count >= 4)
						a[i][j][k + 1] = 0;
					if (count == 2)
						a[i][j][k + 1] = a[i][j][k];
					if (count == 3)
						a[i][j][k + 1] = 1;
				}
			}
}
int main(){
	system("color F0");
	full();
	hide();
	int i, j, k, count;
	srand(time(NULL));
	for (i = 0;i <  N ;i++)
		for (j = 0 ;j <  N ;j++)
			a[i][j][0] = rand() %2;
	for (i = 0;i < GEN;i++)
	{
		show(i);
		if(nock==5){
			gotoxy(0,N+3);
			cout<<"陷入循环!"; 
			while(1){
				Sleep(10);
			}
		}
		update(i);
		if(i>20){
			Sleep(50);
		}
	}
	return 0;
}

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