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/*
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* $Id: alpha_beta.c,v 1.5 2008-05-08 21:04:08 mbroeker Exp $
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* $Source: /development/c/demos/alpha_beta.c,v $
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*/
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/* TIC TAC TOE With Alpha Beta Search */
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#include <stdio.h>
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#include <stdlib.h>
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#include <limits.h>
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#define BOARD_SIZE 9
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#define EMPTY 32
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struct Move {
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int target;
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int value;
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};
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typedef struct Move Move;
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struct Node {
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Move *data;
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struct Node *prev;
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};
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typedef struct Node Node;
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Move *bestMove;
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Node *stack_end;
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char board[BOARD_SIZE] = {
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EMPTY, EMPTY, EMPTY,
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EMPTY, EMPTY, EMPTY,
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EMPTY, EMPTY, EMPTY,
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};
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int desired_depth = -1;
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int estimateFunction ();
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int max_alpha_beta (int, int, int);
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int min_alpha_beta (int, int, int);
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void print (void);
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/**
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* push: push a move onto the stack
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*/
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void push (Move * move)
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{
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Node *actual;
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if ((actual = malloc (sizeof (Node) + 1)) == NULL) {
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perror ("MALLOC");
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exit (EXIT_FAILURE);
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}
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actual->data = move;
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actual->prev = stack_end;
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stack_end = actual;
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}
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/**
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* undo: revert the last move on the stack
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*/
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void undo ()
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{
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Node *actual;
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if (stack_end == NULL) {
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printf ("Stack underrun\n");
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return;
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}
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board[stack_end->data->target] = EMPTY;
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actual = stack_end->prev;
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free (stack_end);
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stack_end = actual;
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}
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/**
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* validMove returns true(1) when the inspected field is EMPTY
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*/
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int validMove (int t)
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{
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if (board[t] == EMPTY)
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return 1;
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return 0;
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}
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/**
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* Returns a Score of +-50 for 3 in a Row
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*/
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int estimateFunction ()
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{
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if (board[0] == 'X' && board[1] == 'X' && board[2] == 'X')
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return -50;
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if (board[0] == 'O' && board[1] == 'O' && board[2] == 'O')
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return 50;
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if (board[3] == 'X' && board[4] == 'X' && board[5] == 'X')
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return -50;
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if (board[3] == 'O' && board[4] == 'O' && board[5] == 'O')
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return 50;
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if (board[6] == 'X' && board[7] == 'X' && board[8] == 'X')
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return -50;
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if (board[6] == 'O' && board[7] == 'O' && board[8] == 'O')
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return 50;
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if (board[0] == 'X' && board[3] == 'X' && board[6] == 'X')
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return -50;
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if (board[0] == 'O' && board[3] == 'O' && board[6] == 'O')
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return 50;
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if (board[1] == 'X' && board[4] == 'X' && board[7] == 'X')
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return -50;
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if (board[1] == 'O' && board[4] == 'O' && board[7] == 'O')
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return 50;
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if (board[2] == 'X' && board[5] == 'X' && board[8] == 'X')
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return -50;
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if (board[2] == 'O' && board[5] == 'O' && board[8] == 'O')
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return 50;
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if (board[0] == 'X' && board[4] == 'X' && board[8] == 'X')
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return -50;
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if (board[0] == 'O' && board[4] == 'O' && board[8] == 'O')
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return 50;
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if (board[2] == 'X' && board[4] == 'X' && board[6] == 'X')
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return -50;
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if (board[2] == 'O' && board[4] == 'O' && board[6] == 'O')
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return 50;
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return 0;
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}
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/**
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* this function visualizes the board
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*/
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void print ()
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{
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int i;
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printf (" 1 2 3 \n +---+---+---+\n");
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for (i = 0; i < 3; i++) {
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printf (" %d | ", i + 1);
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printf ("%c", board[3 * i]);
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printf (" | ");
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printf ("%c", board[3 * i + 1]);
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printf (" | ");
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printf ("%c", board[3 * i + 2]);
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printf (" | \n");
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if (i != 2) {
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printf (" +---+---+---+\n");
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} else {
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printf (" +---+---+---+\n");
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}
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}
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if (stack_end->data != NULL)
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printf ("Score: %3d\n", stack_end->data->value);
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}
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/**
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* simulates and returns the next possible move for a Player or null, when no more moves are possible.
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*/
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Move *simulate (int t, int player)
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{
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Move *move;
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while (t < BOARD_SIZE) {
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if (!validMove (t)) {
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t++;
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continue;
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}
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if ((move = malloc (sizeof (Move) + 1)) == NULL) {
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perror ("MALLOC");
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exit (EXIT_FAILURE);
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}
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if (player == 0)
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board[t] = 'O';
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else
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board[t] = 'X';
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move->target = t;
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move->value = estimateFunction ();
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push (move);
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return move;
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}
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return NULL;
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}
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/**
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* AlphaBeta-Algorithm: the Maximizer
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*/
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int max_alpha_beta (int depth, int alpha, int beta)
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{
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int moveValue;
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int t;
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Move *move;
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if (desired_depth == -1)
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desired_depth = depth;
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t = 0;
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while ((move = simulate (t, 0)) != NULL) {
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/*
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* particular move from black
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*/
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t = move->target;
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if (depth == 0 || (estimateFunction () * estimateFunction ()) == 2500)
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moveValue = move->value;
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else /* best next move */
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moveValue = min_alpha_beta (depth - 1, alpha, beta);
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print ();
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undo ();
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t++;
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if (moveValue >= beta)
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return beta;
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if (moveValue > alpha) {
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alpha = moveValue;
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if (depth == desired_depth)
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bestMove = move;
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}
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}
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return alpha;
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}
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/**
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* AlphaBeta-Algorithm: the Minimizer
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*/
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int min_alpha_beta (int depth, int alpha, int beta)
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{
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int moveValue;
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int t;
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Move *move;
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t = 0;
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while ((move = simulate (t, 1)) != NULL) {
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/*
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* particular move from white
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*/
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t = move->target;
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if (depth == 0 || (estimateFunction () * estimateFunction ()) == 2500)
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moveValue = move->value;
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else /* best next move */
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moveValue = max_alpha_beta (depth - 1, alpha, beta);
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undo ();
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t++;
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if (moveValue <= alpha)
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return alpha;
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if (moveValue < beta)
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beta = moveValue;
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}
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return beta;
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}
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/**
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* returns true when no more fields are empty
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*/
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int game_over ()
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{
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int i;
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for (i = 0; i < BOARD_SIZE; i++) {
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if (board[i] == EMPTY)
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return 0;
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}
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return 1;
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}
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int main (int argc, char **argv)
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{
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Node *actual;
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int i, t, value;
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int depth;
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if (argc == 2)
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depth = atoi (argv[1]);
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else
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depth = 1;
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if ((actual = malloc (sizeof (Node) + 1)) == NULL) {
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perror ("MALLOC");
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return EXIT_FAILURE;
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}
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actual->data = NULL;
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actual->prev = NULL;
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stack_end = actual;
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printf ("\tTic Tac Toe\n");
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for (i = 0; i < 5; i++) {
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printf ("Enter a number: ");
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while (scanf ("%d", &t) < 1) {
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printf ("Enter a number: ");
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t = getchar ();
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}
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if (!validMove (--t)) {
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i--;
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continue;
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}
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board[t] = 'X';
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bestMove = NULL;
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value = max_alpha_beta (depth, SHRT_MIN, SHRT_MAX);
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if (bestMove == NULL) {
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break;
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}
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board[bestMove->target] = 'O';
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print ();
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if ((estimateFunction () * estimateFunction ()) == 2500) {
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return EXIT_SUCCESS;
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}
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if (game_over ())
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break;
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}
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print ();
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return EXIT_SUCCESS;
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}
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