/*++ Module Name: ttt.c Abstract: tic tac toe program to illustrate simple minimax searching Author: Scott Gasch (SGasch) 18 Mar 2004 Revision History: ver0 : random play ver1 : simple search ver2 : alpha beta search ver3 : added eval and depth on ab search, more efficient gaveover ver4 : variable sized board ver5 : bugfixes, added singular extension to search --*/ #include #include #include #include #include "ttt.h" SQUARE g_sComputerPlays = O_MARK; // what side comp plays unsigned int g_uPly = 0; MOVE g_mvBest = { 0 }; unsigned int g_uNodes = 0; unsigned int g_uExtensions = 0; COORD g_uBoardSize = 3; //+---------------------------------------------------------------------------- // // Function: SquareContentsToChar // // Synopsis: Helper function for DrawBoard // // Arguments: IN SQUARE s - a square to return a char to represent // // Returns: char - character representing square // //+---------------------------------------------------------------------------- char SquareContentsToChar(IN SQUARE s) { static char c; switch(s) { case X_MARK: c = 'X'; break; case O_MARK: c = 'O'; break; case EMPTY: c = '_'; break; default: ASSERT(FALSE); c = '?'; break; } return(c); } //+---------------------------------------------------------------------------- // // Function: DrawBoard // // Synopsis: Draw the board // // Arguments: IN POSITION *p - pointer to a position whose board to draw // // Returns: void // //+---------------------------------------------------------------------------- void DrawBoard(IN POSITION *p) { COORD x, y; for (y = 0; y < g_uBoardSize; y++) { for (x = 0; x < g_uBoardSize; x++) { printf("%c ", SquareContentsToChar(p->sBoard[y][x])); } #ifdef DEBUG printf(" = %d\n", p->iVSums[y]); #else printf("\n"); #endif } #ifdef DEBUG for (x = 0; x < g_uBoardSize; x++) { printf("| "); } printf("\n"); for (x = 0; x < g_uBoardSize; x++) { printf("%d ", p->iHSums[x]); } printf("\t%d %d\n", p->iDSums[0], p->iDSums[1]); printf("\n"); #endif ASSERT(X_OR_O(p->sWhoseTurn)); printf("\n%c to move.\n", SquareContentsToChar(p->sWhoseTurn)); } //+---------------------------------------------------------------------------- // // Function: ClearBoard // // Synopsis: Clear the board // // Arguments: IN OUT POSITION *p - pointer to position whose board to clear // // Returns: void // //+---------------------------------------------------------------------------- void ClearBoard(IN OUT POSITION *p) { COORD h; for (h = 0; h < g_uBoardSize; h++) { memset(p->sBoard[h], 0, sizeof(int) * g_uBoardSize); } memset(p->iHSums, 0, sizeof(int) * g_uBoardSize); memset(p->iVSums, 0, sizeof(int) * g_uBoardSize); p->iDSums[0] = p->iDSums[1] = 0; p->sWhoseTurn = X_MARK; // x's go first p->uNumEmpty = (g_uBoardSize * g_uBoardSize); } //+---------------------------------------------------------------------------- // // Function: IsLegalMove // // Synopsis: Determine if a given move is legal on a given board // // Arguments: IN POSITION *p - the board to play the move on // IN MOVE *m - the move in question // // Returns: BOOL - TRUE if it's legal, FALSE otherwise // //+---------------------------------------------------------------------------- BOOL IsLegalMove(IN POSITION *p, IN MOVE *m) { if ((m->cVpos < g_uBoardSize) && (m->cHpos < g_uBoardSize)) { if (IS_SQUARE_EMPTY(p->sBoard[m->cVpos][m->cHpos])) { return(TRUE); } } return(FALSE); } //+---------------------------------------------------------------------------- // // Function: GetHumanMove // // Synopsis: Ask the human for a move // // Arguments: IN POSITION *p - the current board // OUT MOVE *m - the move the human made; this struct is populated // as a side-effect of this function. // // Returns: void* (populates the move struct) // //+---------------------------------------------------------------------------- void GetHumanMove(IN POSITION *p, OUT MOVE *m) { unsigned int x; do { printf("Enter your move number: "); scanf("%u", &x); m->cHpos = NUM_TO_HPOS(x); m->cVpos = NUM_TO_VPOS(x); m->sMark = OPPOSITE_MARK(g_sComputerPlays); } while(FALSE == IsLegalMove(p, m)); } //+---------------------------------------------------------------------------- // // Function: GameOver // // Synopsis: Is the game over? // // Arguments: IN POSITION *p - the board // OUT SQUARE *psWhoWon - who won the game (if it's over) // // Returns: TRUE if the game is over. Also sets psWhoWon telling // which side one if the game is over. This also serves // as a very simple evaluation routine for the search. // // FALSE if the game is not over. // //+---------------------------------------------------------------------------- BOOL GameOver(IN POSITION *p, OUT SQUARE *psWhoWon) { int iSum; COORD x; unsigned int uFull = (g_uBoardSize * g_uBoardSize) - p->uNumEmpty; // // The game can't be over if less than g_uBoardSize * 2 - 1 marks on it // if (uFull < (g_uBoardSize * 2 - 1)) { *psWhoWon = EMPTY; return(FALSE); } for (x = 0; x < g_uBoardSize; x++) { iSum = p->iHSums[x]; if (abs(iSum) == g_uBoardSize) goto winner; iSum = p->iVSums[x]; if (abs(iSum) == g_uBoardSize) goto winner; } iSum = p->iDSums[0]; if (abs(iSum) == g_uBoardSize) goto winner; iSum = p->iDSums[1]; if (abs(iSum) == g_uBoardSize) goto winner; // // No one won yet, either game ongoing or draw. // *psWhoWon = EMPTY; if (p->uNumEmpty == 0) { return(TRUE); } else { return(FALSE); } winner: // // Some side won // *psWhoWon = (iSum / (int)g_uBoardSize); ASSERT(X_OR_O(*psWhoWon)); return(TRUE); } //+---------------------------------------------------------------------------- // // Function: MakeMove // // Synopsis: Make a move on a board // // Arguments: IN OUT POSITION *p - the board // IN MOVE *m - the move // // Returns: void // //+---------------------------------------------------------------------------- void MakeMove(IN OUT POSITION *p, IN MOVE *m) { if (TRUE == IsLegalMove(p, m)) { // // Make the new make on the board // ASSERT(p->sBoard[m->cVpos][m->cHpos] == EMPTY); p->sBoard[m->cVpos][m->cHpos] = m->sMark; // // One less empty square // p->uNumEmpty--; ASSERT(p->uNumEmpty < (g_uBoardSize * g_uBoardSize)); // // Update sums as appropriate // p->iHSums[m->cHpos] += m->sMark; ASSERT(VALID_SUM(p->iHSums[m->cHpos])); p->iVSums[m->cVpos] += m->sMark; ASSERT(VALID_SUM(p->iVSums[m->cVpos])); if (ON_DIAGONAL_1(m->cHpos, m->cVpos)) { p->iDSums[0] += m->sMark; ASSERT(VALID_SUM(p->iDSums[0])); } if (ON_DIAGONAL_2(m->cHpos, m->cVpos)) { p->iDSums[1] += m->sMark; ASSERT(VALID_SUM(p->iDSums[1])); } // // Other guy's turn // p->sWhoseTurn = OPPOSITE_MARK(p->sWhoseTurn); ASSERT(X_OR_O(p->sWhoseTurn)); // // One ply deeper // g_uPly++; ASSERT(g_uPly > 0); } } //+---------------------------------------------------------------------------- // // Function: UnmakeMove // // Synopsis: The opposite of MakeMove // // Arguments: IN OUT POSITION *p - the board // IN MOVE *m - the move to undo // // Returns: void // //+---------------------------------------------------------------------------- void UnmakeMove(IN OUT POSITION *p, IN MOVE *m) { if (p->sBoard[m->cVpos][m->cHpos] == m->sMark) { p->sBoard[m->cVpos][m->cHpos] = EMPTY; // // One more empty square // p->uNumEmpty++; ASSERT(p->uNumEmpty > 0); ASSERT(p->uNumEmpty <= (g_uBoardSize * g_uBoardSize)); // // Update sums as appropriate // p->iHSums[m->cHpos] -= m->sMark; ASSERT(VALID_SUM(p->iHSums[m->cHpos])); p->iVSums[m->cVpos] -= m->sMark; ASSERT(VALID_SUM(p->iVSums[m->cVpos])); if (ON_DIAGONAL_1(m->cHpos, m->cVpos)) { p->iDSums[0] -= m->sMark; ASSERT(VALID_SUM(p->iDSums[0])); } if (ON_DIAGONAL_2(m->cHpos, m->cVpos)) { p->iDSums[1] -= m->sMark; ASSERT(VALID_SUM(p->iDSums[1])); } // // Other guy's turn // p->sWhoseTurn = OPPOSITE_MARK(p->sWhoseTurn); ASSERT(X_OR_O(p->sWhoseTurn)); // // One ply deeper // ASSERT(g_uPly > 0); g_uPly--; } } //+---------------------------------------------------------------------------- // // Function: IsMoveSingular // // Synopsis: Determine if a move is singular (i.e. only good move) or not // // Arguments: IN POSITION *p - the board // IN MOVE *m - the move to undo // // Returns: BOOL : TRUE if *m is singular // //+---------------------------------------------------------------------------- BOOL IsMoveSingular(IN POSITION *p, IN MOVE *m) { if ((abs(p->iVSums[m->cVpos]) >= (g_uBoardSize - 2)) || (abs(p->iHSums[m->cHpos]) >= (g_uBoardSize - 2))) { return(TRUE); } if ((m->cHpos == m->cVpos) && (abs(p->iDSums[0]) == (g_uBoardSize - 1))) { return(TRUE); } if ((m->cVpos == ((g_uBoardSize - m->cHpos) - 1)) && (abs(p->iDSums[1] == (g_uBoardSize - 1)))) { return(TRUE); } return(FALSE); } BOOL IsMoveWorthSearching(POSITION *p, MOVE *m) { signed int h; signed int v; unsigned int uSum = 0; for (h = m->cHpos - 1; h < (signed int)m->cHpos + 2; h++) { for (v = m->cVpos - 1; v < (signed int)m->cVpos + 2; v++) { if (GOOD_COORD((COORD)v) && GOOD_COORD((COORD)h)) { uSum += abs(p->sBoard[v][h]); } } } if (uSum == 0) { return(FALSE); } return(TRUE); } int Eval(POSITION *p) { int iSum = p->iDSums[0]; COORD x; for (x = 0; x < g_uBoardSize; x++) { iSum += p->iHSums[x]; iSum += p->iVSums[x]; } iSum += p->iDSums[1]; return(iSum * p->sWhoseTurn); } //+---------------------------------------------------------------------------- // // Function: AlphaBeta // // Synopsis: An AlphaBeta Search // // Arguments: IN OUT POSITION *p - the board // IN int iAlpha - the lower bound of the score window // IN int iBeta - the upper bound of the score window // IN int uDepth - search depth horizon // // Returns: int // //+---------------------------------------------------------------------------- int AlphaBeta(IN POSITION *p, IN int iAlpha, IN int iBeta, IN unsigned int uDepth) { SQUARE sWhoWon; COORD s; MOVE mv; int iScore; int iBestScore = -INFINITY - 2; BOOL fMoveIsSingular; unsigned int uNextDepth; unsigned int uMoveNum = 1; g_uNodes++; // // Evaluate this position // if (TRUE == GameOver(p, &sWhoWon)) { if (sWhoWon == p->sWhoseTurn) { return(+INFINITY - g_uPly); } else if (sWhoWon == (p->sWhoseTurn * -1)) { return(-INFINITY + g_uPly); } return(DRAWSCORE); } else if (uDepth == 0) { return(Eval(p)); } // // No one won, game is still going. Evaluate some moves from here. // ASSERT(p->uNumEmpty > 0); for (s = 0; s < (g_uBoardSize * g_uBoardSize); s++) { mv.cHpos = NUM_TO_HPOS(s); mv.cVpos = NUM_TO_VPOS(s); mv.sMark = p->sWhoseTurn; if (IsLegalMove(p, &mv)) { // // Determine if move is singular // fMoveIsSingular = IsMoveSingular(p, &mv); if ((FALSE == fMoveIsSingular) && (uMoveNum > 1)) { // // Determine if we should bother with this subtree... // if (FALSE == IsMoveWorthSearching(p, &mv)) { continue; } } // // Do it // MakeMove(p, &mv); uMoveNum++; uNextDepth = uDepth - 1; if (TRUE == fMoveIsSingular) { uNextDepth = uDepth; g_uExtensions++; } iScore = -1 * AlphaBeta(p, -iBeta, -iAlpha, uNextDepth); ASSERT(-INFINITY <= iScore); ASSERT(iScore <= +INFINITY); UnmakeMove(p, &mv); // // Fail high // if (iScore >= iBeta) { return(iScore); } if (iScore > iBestScore) { iBestScore = iScore; if (iScore > iAlpha) { // // PV node // iAlpha = iScore; // // If this is the ply 0 move, remember it. // if (g_uPly == 0) { g_mvBest = mv; } } } } } return(iBestScore); } //+---------------------------------------------------------------------------- // // Function: SearchForComputerMove // // Synopsis: Use our sophisticated search algorithm to find a computer // move // // Arguments: IN POSITION *p - the current board // OUT MOVE *m - the move the computer chooses; this move struct // is populated as a side-effect of this function. // // Returns: void* (populates move struct) // //+---------------------------------------------------------------------------- void SearchForComputerMove(IN POSITION *p, OUT MOVE *m) { #if defined(PLAY_RANDOMLY) unsigned int x; do { x = rand() % (g_uBoardSize * g_uBoardSize); m->cHpos = NUM_TO_HPOS(x); m->cVpos = NUM_TO_VPOS(x); m->sMark = g_sComputerPlays; } while(FALSE == IsLegalMove(p, m)); #elif defined(ALPHA_BETA_SEARCH) double dTime; g_uPly = g_uNodes = g_uExtensions = 0; AlphaBeta(p, -INFINITY-1, +INFINITY+1, 3); *m = g_mvBest; printf("Searched %u node(s), %u extension(s)\n", g_uNodes, g_uExtensions); #else #error "No Search Strategy Defined" #endif } //+---------------------------------------------------------------------------- // // Function: main // // Synopsis: The program entry point and main game loop. // // Arguments: void // // Returns: int // //+---------------------------------------------------------------------------- int main(void) { POSITION p; MOVE mv; SQUARE sResult; unsigned int u; // // Randomize: the random numbers returned by rand() will be based on // the system clock when the program starts up. // srand(time(0)); // // Make the board // do { printf("How big do you want the board (2..20)? "); scanf("%u", &g_uBoardSize); } while((g_uBoardSize < 2) || (g_uBoardSize > 20)); // // Allocate space for 2d int array ptr // p.sBoard = (SQUARE **)malloc(g_uBoardSize * sizeof(SQUARE *)); if (NULL == p.sBoard) { fprintf(stderr, "Out of memory\n"); exit(1); } // // Allocate each row of the array // for (u = 0; u < g_uBoardSize; u++) { p.sBoard[u] = (SQUARE *) malloc(g_uBoardSize * sizeof(SQUARE)); if (NULL == p.sBoard[u]) { fprintf(stderr, "Out of memory!\n"); exit(1); } } // // Allocate space for sums // p.iHSums = (int *)malloc(g_uBoardSize * sizeof(int)); p.iVSums = (int *)malloc(g_uBoardSize * sizeof(int)); if ((NULL == p.iHSums) || (NULL == p.iVSums)) { fprintf(stderr, "Out of memory!\n"); exit(1); } // // Setup the board and draw it once. // ClearBoard(&p); DrawBoard(&p); // // Main game loop // do { // // See whose turn it is -- the human's or the computers -- and // get a move from whoever's turn it is. // if (p.sWhoseTurn == g_sComputerPlays) { SearchForComputerMove(&p, &mv); } else { //SearchForComputerMove(&p, &mv); GetHumanMove(&p, &mv); } // // Make the move on the board and draw the board again. // MakeMove(&p, &mv); DrawBoard(&p); } while(FALSE == GameOver(&p, &sResult)); // // If we get here the game is over... see what happened. // switch(sResult) { case X_MARK: printf("\nX's win.\n"); break; case O_MARK: printf("\nO's win.\n"); break; default: printf("Tie (what a surprise)\n"); break; } // // TODO: cleanup heap // exit(0); }