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A tic-tac-toe enumerator in Prolog
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/** | |
* Usage: | |
* | |
* play(A, "X", "O"). % Gets boards where X wins and O loses | |
* play(A, "O", "X"). % Gets boards where O wins and X loses | |
* play([[_,_,_], [_,"X",_], [_,_,_]], "X", "O") % Finds winning boards for X with that starting condition | |
* play([[_,_,_], [_,"X",_], [_,_,_]], "O", "X") % Finds winning boards for O with that starting condition | |
* ... | |
*/ | |
winning_line([A, B, C], PLAYER) :- | |
A = B, | |
A = C, | |
A = PLAYER. | |
winning_row([[A, B, C], [D, E, F], [G, H, I]], PLAYER) :- | |
winning_line([A, B, C], PLAYER); | |
winning_line([D, E, F], PLAYER); | |
winning_line([G, H, I], PLAYER). | |
winning_col([[A, B, C], [D, E, F], [G, H, I]], PLAYER) :- | |
winning_line([A, D, G], PLAYER); | |
winning_line([B, E, H], PLAYER); | |
winning_line([C, F, I], PLAYER). | |
winning_dia([[A, _, C], [_, E, _], [G, _, I]], PLAYER) :- | |
winning_line([A, E, I], PLAYER); | |
winning_line([C, E, G], PLAYER). | |
winning_board(BOARD, PLAYER) :- | |
winning_row(BOARD, PLAYER); | |
winning_col(BOARD, PLAYER); | |
winning_dia(BOARD, PLAYER). | |
count_cell(CELL, X, O) :- | |
CELL = "X", | |
X = 1, O = 0; | |
CELL = "O", | |
X = 0, O = 1; | |
CELL = " ", | |
X = 0, O = 0. | |
count_line([A, B, C], X, O) :- | |
count_cell(A, X1, O1), | |
count_cell(B, X2, O2), | |
count_cell(C, X3, O3), | |
X is X1 + X2 + X3, | |
O is O1 + O2 + O3. | |
count_board([A, B, C], X, O) :- | |
count_line(A, X1, O1), | |
count_line(B, X2, O2), | |
count_line(C, X3, O3), | |
X is X1 + X2 + X3, | |
O is O1 + O2 + O3. | |
valid_board(BOARD) :- | |
count_board(BOARD, X, O), | |
O = X; | |
count_board(BOARD, X, O), | |
O = X + 1. | |
play(BOARD, WIN, LOSE) :- | |
valid_board(BOARD), | |
winning_board(BOARD, WIN), | |
\+ winning_board(BOARD, LOSE). |
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