Created
January 5, 2012 14:38
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Minimax Algorithm - Direct Recursion
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# (The MIT License) | |
# | |
# Copyright (c) 2011 Ledsworth Consulting LLC | |
# | |
# Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated | |
# documentation files (the "Software"), to deal in the Software without restriction, including without limitation the | |
# rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit | |
# persons to whom the Software is furnished to do so, subject to the following conditions: | |
# | |
# The above copyright notice and this permission notice shall be included in all copies or substantial portions of the | |
# Software. | |
# | |
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE | |
# WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR | |
# COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR | |
# OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. | |
# | |
# Call to algorithm (computer plays 'O', state array holds the current game board) | |
state[best_move] = 'O' | |
# Minmax Algorithm | |
def best_move(max_player=true, ply=0, alpha=-99999, beta=99999) | |
# Terminal conditions | |
if is_won? | |
reset_winner_state # Undo winner state | |
return (max_player ? (-9999+ply) : ( 9999-ply)) | |
end | |
return 0 if full_board? | |
if ply >= 3 | |
return score | |
end | |
best_move = 0 | |
value = (max_player ? -99999 : 99999) | |
legal_moves.each do |sqr| | |
state[sqr] = (max_player ? 'O' : 'X') | |
response = best_move(!max_player,ply+1,alpha,beta) | |
state[sqr] = ' ' # Undo move | |
if max_player && response > value | |
value = alpha = response | |
best_move = sqr | |
end | |
if !max_player && response < value | |
value = beta = response | |
end | |
# Alpha-beta cut-off | |
if beta <= alpha | |
break | |
end | |
end | |
return (ply==0 ? best_move : value) | |
end |
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