From Gossip@caterpillar

Algorithm Gossip: 生命遊戲

 說明

生命遊戲(game of life)為1970年由英國數學家J. H. Conway所提出,某一細胞的鄰居包括上、下、左、右、左上、左下、右上與右下相鄰之細胞,遊戲規則如下:
  1. 孤單死亡:如果細胞的鄰居小於一個,則該細胞在下一次狀態將死亡。
  2. 擁擠死亡:如果細胞的鄰居在四個以上,則該細胞在下一次狀態將死亡。
  3. 穩定:如果細胞的鄰居為二個或三個,則下一次狀態為穩定存活。
  4. 復活:如果某位置原無細胞存活,而該位置的鄰居為三個,則該位置將復活一細胞。

解法

生命遊戲的規則可簡化為以下,並使用CASE比對即可使用程式實作:
  1. 鄰居個數為0、1、4、5、6、7、8時,則該細胞下次狀態為死亡。
  2. 鄰居個數為2時,則該細胞下次狀態為復活。
  3. 鄰居個數為3時,則該細胞下次狀態為穩定。

實作

#include <stdio.h> 
#include <stdlib.h>
#include <ctype.h>

#define MAXROW 10
#define MAXCOL 25
#define DEAD 0
#define ALIVE 1
int map[MAXROW][MAXCOL], newmap[MAXROW][MAXCOL];

void init();
int neighbors(int, int);
void outputMap();
void copyMap();

int main() {
int row, col;
char ans;

init();

while(1) {
outputMap();
for(row = 0; row < MAXROW; row++) {
for(col = 0; col < MAXCOL; col++) {
switch (neighbors(row, col)) {
case 0:
case 1:
case 4:
case 5:
case 6:
case 7:
case 8:
newmap[row][col] = DEAD;
break;
case 2:
newmap[row][col] = map[row][col];
break;
case 3:
newmap[row][col] = ALIVE;
break;
}
}
}

copyMap();

printf("\nContinue next Generation ? ");
getchar();
ans = toupper(getchar());

if(ans != 'Y')
break;
}

return 0;
}

void init() {
int row, col;

for(row = 0; row < MAXROW; row++)
for(col = 0; col < MAXCOL; col++)
map[row][col] = DEAD;

puts("Game of life Program");
puts("Enter x, y where x, y is living cell");
printf("0 <= x <= %d, 0 <= y <= %d\n",
MAXROW-1, MAXCOL-1);
puts("Terminate with x, y = -1, -1");

while(1) {
scanf("%d %d", &row, &col);
if(0 <= row && row < MAXROW &&
0 <= col && col < MAXCOL)
map[row][col] = ALIVE;
else if(row == -1 || col == -1)
break;
else
printf("(x, y) exceeds map ranage!");
}
}

int neighbors(int row, int col) {
int count = 0, c, r;

for(r = row-1; r <= row+1; r++)
for(c = col-1; c <= col+1; c++) {
if(r < 0 || r >= MAXROW || c < 0 || c >= MAXCOL)
continue;
if(map[r][c] == ALIVE)
count++;
}

if(map[row][col] == ALIVE)
count--;

return count;
}

void outputMap() {
int row, col;

printf("\n\n%20cGame of life cell status\n");
for(row = 0; row < MAXROW; row++) {
printf("\n%20c", ' ');
for(col = 0; col < MAXCOL; col++)
if(map[row][col] == ALIVE)
putchar('#');
else
putchar('-');
}
}

void copyMap() {
int row, col;

for(row = 0; row < MAXROW; row++)
for(col = 0; col < MAXCOL; col++)
map[row][col] = newmap[row][col];
}

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class LifeGame {
private boolean[][] map;
private boolean[][] newmap;

public LifeGame(int maxRow, int maxColumn) {
map = new boolean[maxRow][maxColumn];
newmap = new boolean[maxRow][maxColumn];
}

public void setCell(int x, int y) {
map[x][y] = true;
}

public void next() {
for(int row = 0; row < map.length; row++) {
for(int col = 0; col < map[0].length; col++) {
switch (neighbors(row, col)) {
case 0:
case 1:
case 4:
case 5:
case 6:
case 7:
case 8:
newmap[row][col] = false;
break;
case 2:
newmap[row][col] = map[row][col];
break;
case 3:
newmap[row][col] = true;
break;
}
}
}

copyMap();
}

public void outputMap() throws IOException {
System.out.println("\n\nGame of life cell status");
for(int row = 0; row < map.length; row++) {
System.out.print("\n ");
for(int col = 0; col < map[0].length; col++)
if(map[row][col] == true)
System.out.print('#');
else
System.out.print('-');
}
}

private void copyMap() {
for(int row = 0; row < map.length; row++)
for(int col = 0; col < map[0].length; col++)
map[row][col] = newmap[row][col];
}

private int neighbors(int row, int col) {
int count = 0;

for(int r = row-1; r <= row+1; r++)
for(int c = col-1; c <= col+1; c++) {
if(r < 0 || r >= map.length ||
c < 0 || c >= map[0].length)
continue;
if(map[r][c] == true)
count++;
}

if(map[row][col] == true)
count--;

return count;
}

public static void main(String[] args)
throws NumberFormatException, IOException {
BufferedReader bufReader =
new BufferedReader(
new InputStreamReader(System.in));

LifeGame game = new LifeGame(10, 25);

System.out.println("Game of life Program");
System.out.println(
"Enter x, y where x, y is living cell");
System.out.println("0 <= x < 10, 0 <= y < 25");
System.out.println("Terminate with x, y = -1, -1");

while(true) {
String[] strs = bufReader.readLine().split(" ");
int row = Integer.parseInt(strs[0]);
int col = Integer.parseInt(strs[1]);

if(0 <= row && row < 10 && 0 <= col && row < 25)
game.setCell(row, col);
else if(row == -1 || col == -1) {
break;
}
else {
System.out.print(
"(x, y) exceeds map ranage!");
}
}

while(true) {
game.outputMap();
game.next();

System.out.print(
"\nContinue next Generation ? ");

String ans = bufReader.readLine().toUpperCase();

if(!ans.equals("Y"))
break;
}
}
}