如何使用alphabeta修剪连接四个游戏

时间:2014-12-01 01:04:18

标签: java minimax alpha-beta-pruning

有人可以帮助我了解如何使用alpha-beta修剪算法吗?我制作的游戏类似于连接四个游戏。唯一的区别是没有对角线胜利,并且玩家可以在任何给定时间标记一个正方形(当然,除非它已被占用)。我想我理解如何编写算法代码,我只是觉得我错了。我一直在做的是有一个看起来像这样的for循环

for(i=0; i<size; i++)
    for(j=0; j<size; j++)
        val = alphabeta();
            if(val > max)
                max = val;
                move = set(i,j);
setBoard(move); //sets the to the returned value from alphabeta()

我遇到的问题是第一次运行alphabeta会返回最大值,因此下一个值都不会更大,并且电路板只会设置在电路板[0] [0]上。有谁知道我做错了什么?

public int alphabeta(Placement place, int depth, int alpha, int beta, boolean maxPlayer)
{

    Placement p = null;
    if(depth==0 || board.isWinner())
    {
        return evaluate(place, maxPlayer);
    }
    if(maxPlayer)
    {
        int i=0, j=0;
        for(i=0; i<board.size; i++)
        {
            for(j=0; j<board.size; j++)
            {
                if(board.validMove(i,j)&&(board.canGetFour(i,j, opponent)&&board.canGetFour(i,j,player)))
                {
                    board.board[i][j] = opponent;
                    p = new Placement(i, j);
                    alpha = Math.max(alpha, alphabeta(p, depth-1, alpha, beta, false));
                    board.board[i][j] = 0;
                }

                if(beta<=alpha)
                    break;
            }
            if(beta<=alpha)
                break;
        }
        return alpha;
    }
    else
    {
        int i=0, j=0;
        for(i=0; i<board.size; i++)
        {
            for(j=0; j<board.size; j++)
            {
                if(board.validMove(i,j)&&(board.canGetFour(i,j,opponent)&&board.canGetFour(i,j,player)))
                {
                    board.board[i][j] = player;
                    p = new Placement(i, j);
                    beta = Math.min(beta, alphabeta(p, depth-1, alpha, beta, true));
                    System.out.println(board);
                    board.board[i][j] = 0;
                }
                if(beta<=alpha)
                    break;
            }
            if(beta<=alpha)
                break;
        }
        return beta;
    }
}

这是移动的功能

public void makeMove()
{
    int max = -1;
    Placement p = null;
    int val = -1;
    for(int i=0; i<size; i++)
        for(int j=0; j<size; j++)
        {   
            if(board.validMove(i, j))
            {
                if(board.canGetFour(i, j, opponent)||(board.canGetFour(i,j,player)&&board.canGetFour(i,j,opponent)))
                {
                    board.board[i][j] = player;
                    val = alphabeta(new Placement(i,j), 5, -5000, 5000, true);
                    board.board[i][j] = 0;
                    if(val > max)
                    {
                        max = val;
                        p = new Placement(i, j);
                    }
                }
            }
        }
    board.board[p.row][p.col] = player;
    board.moves++;
}

所以,这是我的更新代码,仍无效

public Placement alphabeta(Placement p)
{
    int v = max(p,6,-500000, 500000);
    return successors(v);
}
public int max(Placement p, int depth, int alpha, int beta)
{
    if(depth == 0 || board.isWinner())
    {
        return evaluateMax(p,player);
    }
    int v = -500000;
    for(int i=0; i<successors.size(); i++)
    {
        Placement place = new Placement(successors.get(i));
        board.board[place.row][place.col] = player;
        v = Math.max(v, min(place, depth-1, alpha,beta));
        board.board[place.row][place.col] = 0;
        if(v>= beta)
            return v;
        alpha = Math.max(alpha, v);
    }
    return v;
}
public int min(Placement p, int depth, int alpha, int beta)
{
    if(depth == 0||board.isWinner())
    {
        return evaluateMax(p,opponent);
    }
    int v = 500000;
    for(int i=0; i<successors.size(); i++)
    {
        Placement place = new Placement(successors.get(i));
        board.board[place.row][place.col] = opponent;
        v = Math.min(v, max(place,depth-1, alpha,beta));
        board.board[place.row][place.col] = 0;
        if(v<= alpha)
            return v;
        beta = Math.min(alpha, v);
    }
    return v;
}
public void makeMove()
{
    Placement p = null;
    for(int i=0; i<successors.size(); i++)
    {
        Placement temp = successors.get(i);
        //board.board[temp.row][temp.col] = player;
        p = alphabeta(temp);
        //board.board[temp.row][temp.col] = 0;
    }
    System.out.println("My move is "+p.row + p.col);
    board.board[p.row][p.col] = player;
    successors.remove(p);
}

我稍微改变了算法,所以我可以清楚地看到min和max发生了什么,但是,它仍然无法正常播放

1 个答案:

答案 0 :(得分:0)

好的,花了一些时间,但我想我有。

在你的评估函数中,你应该返回状态对于实际玩家的好坏程度。如果&#34; otherPlayer&#34;的展示位置是canGetFour,则表示状态不佳(状态最差)。所以你返回一个小数字。但是,如果展示位置是&#34; actualPlayer&#34;的canGetFour你返回一个很大的数字(这是一个很好的状态)。

然后在你的makeMove中,你只是检查状态是否是最好的状态。注意,为此使用2d数组只是存储&#34;子节点的最低效方式&#34;。有一个placement.getPossibleMoves()会返回一个包含所有空方块(真实和临时)的数组,然后迭代它。否则,您的算法将按照电路板大小的顺序成为指数时间。

private Placement bestNext;
private List<Placement> tempMoves = new ArrayList<>();
private int alpha;
private int beta;

public int alphabeta(Placement place, int depth, boolean maxPlayer)
{
    Placement p = null;
    if(depth == maxDepth){/* (unnasigned squares in actual board) */
       return evaluate(place, maxPlayer)
    }
    int i=0, j=0;
    for(i=0; i<board.size; i++)
    {
        for(j=0; j<board.size; j++)
        {
            if(board.validMove(i,j)){
                p = new Placement(i, j);
                tempMoves.add(placement);
                int tmp = Math.max(alpha, alphabeta(p, depth += 1, actualPlayer.getOpponent()));
                if(maxPlayer){
                  alpha = tmp
                }
                else{
                  beta = tmp
                }
                tempMoves.remove(placement);
            }

            if(beta<=alpha)
                break;
        }
        if(beta<=alpha)
            break;
    }
    return maxPlayer ? alpha : beta;
}
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