{ App to prove you can't win at Tic-Tac-Toe } program ttt; {$I timeutil.pas} {$I dos_gt.pas } const scoreWin = 6; scoreTie = 5; scoreLose = 4; scoreMax = 9; scoreMin = 2; scoreInvalid = 0; pieceBlank = 0; pieceX = 1; pieceO = 2; iterations = 1; type boardType = array[ 0..8 ] of integer; CommandString = string[127]; var evaluated: integer; board: boardType; timeStart, timeEnd: timetype; procedure dumpBoard; var i : integer; begin Write( '{' ); for i := 0 to 8 do Write( board[i] ); Write( '}' ); end; function lookForWinner : integer; var t, p : integer; begin {dumpBoard;} p := pieceBlank; t := board[ 0 ]; if pieceBlank <> t then begin if ( ( ( t = board[1] ) and ( t = board[2] ) ) or ( ( t = board[3] ) and ( t = board[6] ) ) ) then p := t; end; if pieceBlank = p then begin t := board[1]; if ( t = board[4] ) and ( t = board[7] ) then p := t else begin t := board[2]; if ( t = board[5] ) and ( t = board[8] ) then p := t else begin t := board[3]; if ( t = board[4] ) and ( t = board[5] ) then p := t else begin t := board[6]; if ( t = board[7] ) and ( t = board[8] ) then p := t else begin t := board[4]; if ( ( ( t = board[0] ) and ( t = board[8] ) ) or ( ( t = board[2] ) and ( t = board[6] ) ) ) then p := t end; end; end; end; end; lookForWinner := p; end; function winner2( move: integer ) : integer; var x : integer; begin case move of 0: begin x := board[ 0 ]; if not ( ( ( x = board[1] ) and ( x = board[2] ) ) or ( ( x = board[3] ) and ( x = board[6] ) ) or ( ( x = board[4] ) and ( x = board[8] ) ) ) then x := PieceBlank; end; 1: begin x := board[ 1 ]; if not ( ( ( x = board[0] ) and ( x = board[2] ) ) or ( ( x = board[4] ) and ( x = board[7] ) ) ) then x := PieceBlank; end; 2: begin x := board[ 2 ]; if not ( ( ( x = board[0] ) and ( x = board[1] ) ) or ( ( x = board[5] ) and ( x = board[8] ) ) or ( ( x = board[4] ) and ( x = board[6] ) ) ) then x := PieceBlank; end; 3: begin x := board[ 3 ]; if not ( ( ( x = board[4] ) and ( x = board[5] ) ) or ( ( x = board[0] ) and ( x = board[6] ) ) ) then x := PieceBlank; end; 4: begin x := board[ 4 ]; if not ( ( ( x = board[0] ) and ( x = board[8] ) ) or ( ( x = board[2] ) and ( x = board[6] ) ) or ( ( x = board[1] ) and ( x = board[7] ) ) or ( ( x = board[3] ) and ( x = board[5] ) ) ) then x := PieceBlank; end; 5: begin x := board[ 5 ]; if not ( ( ( x = board[3] ) and ( x = board[4] ) ) or ( ( x = board[2] ) and ( x = board[8] ) ) ) then x := PieceBlank; end; 6: begin x := board[ 6 ]; if not ( ( ( x = board[7] ) and ( x = board[8] ) ) or ( ( x = board[0] ) and ( x = board[3] ) ) or ( ( x = board[4] ) and ( x = board[2] ) ) ) then x := PieceBlank; end; 7: begin x := board[ 7 ]; if not ( ( ( x = board[6] ) and ( x = board[8] ) ) or ( ( x = board[1] ) and ( x = board[4] ) ) ) then x := PieceBlank; end; 8: begin x := board[ 8 ]; if not ( ( ( x = board[6] ) and ( x = board[7] ) ) or ( ( x = board[2] ) and ( x = board[5] ) ) or ( ( x = board[0] ) and ( x = board[4] ) ) ) then x := PieceBlank; end; end; winner2 := x; end; function minmax( alpha: integer; beta: integer; depth: integer; move: integer ): integer; var p, value, pieceMove, score : integer; begin evaluated := evaluated + 1; value := scoreInvalid; if depth >= 4 then begin { p := lookForWinner; } { this is much slower } p := winner2( move ); if p <> pieceBlank then begin if p = pieceX then value := scoreWin else value := scoreLose end else if depth = 8 then value := scoreTie; end; if value = scoreInvalid then begin if Odd( depth ) then begin value := scoreMin; pieceMove := pieceX; end else begin value := scoreMax; pieceMove := pieceO; end; p := 0; repeat if board[ p ] = pieceBlank then begin board[ p ] := pieceMove; score := minmax( alpha, beta, depth + 1, p ); board[ p ] := pieceBlank; if Odd( depth ) then begin if ( score > value ) then begin value := score; if ( value = scoreWin ) or ( value >= beta ) then p := 10 else if ( value > alpha ) then alpha := value; end; end else begin if ( score < value ) then begin value := score; if ( value = scoreLose ) or ( value <= alpha ) then p := 10 else if ( value < beta ) then beta := value; end; end; end; p := p + 1; until p > 8; end; minmax := value; end; procedure runit( move : integer ); var score: integer; begin board[move] := pieceX; score := minmax( scoreMin, scoreMax, 0, move ); board[move] := pieceBlank; end; function Trim( intext : CommandString ): CommandString; var FirstPos, LastPos: integer; begin FirstPos := 1; while ( FirstPos <= Length( intext ) ) and ( intext[FirstPos] = #32 ) do FirstPos := FirstPos + 1; LastPos := Length( intext ); while ( LastPos >= 1 ) and ( intext[LastPos] = #32 ) do LastPos := LastPos - 1; Trim := Copy( intext, FirstPos, LastPos - FirstPos + 1 ); end; var i, loops, errpos: integer; strArg : CommandString; cmdTail : CommandString absolute Cseg : $80; begin loops := Iterations; if 0 <> Length( ParamStr( 1 ) ) then Val( ParamStr( 1 ), loops, errpos ); for i := 0 to 8 do board[i] := pieceBlank; WriteLn( 'begin' ); get_time( timeStart ); for i := 1 to loops do begin evaluated := 0; { once per loop to prevent overflow } runit( 0 ); runit( 1 ); runit( 4 ); end; get_time( timeEnd ); print_elapsed_time( timeStart, timeEnd ); WriteLn( 'moves evaluated: ', evaluated ); WriteLn( 'iterations: ', loops ); end.