def test_jump_crowning(self):
b = Board()
b.set_board("...,...o,....x")
b.push(b.legal_moves()[0])
self.assertEqual("..X.......,,,,,,,,,", b.get_board())
self.assertEqual(Checker(WHITE, True), b.checker_at(2, 0))
b.pop()
self.assertEqual(",...o......,....x.....,,,,,,,", b.get_board())
self.assertEqual(Checker(WHITE, False), b.checker_at(4, 2))
def test_turns(self):
b = Board()
self.assertTrue(b.color)
b.legal_moves()
self.assertTrue(b.color)
b.legal_moves()[0]
self.assertTrue(b.color)
b.push(b.legal_moves()[0])
self.assertTrue(not b.color)
def test_turns2(self):
b = Board()
b.set_board(",...o.o,,...o,..x")
self.assertTrue(b.color)
b.legal_moves()
self.assertTrue(b.color)
b.legal_moves()[0]
self.assertTrue(b.color)
b.push(b.legal_moves()[0])
self.assertTrue(not b.color)
def _alpha_beta(board: Board, transpositions: Dict[int, int], color: bool,
depth: int, alpha: int, beta: int, opt: bool):
"""
Implementation of minimax with alpha-beta pruning follows the pseudo-code on Wikipedia:
https://en.wikipedia.org/wiki/Alpha%E2%80%93beta_pruning#Pseudocode
:param board:
:param depth: Maximum tree depth to search. Decreases with recursive calls.
:param alpha:
:param beta:
:param opt:
:return:
"""
if hash(board) in transpositions:
return transpositions[hash(board)]
# if reached max depth or there's no legal moves left, return board value
if depth == 0 or len(board.legal_moves()) <= 0:
return _board_value(board, color)
# if searching for optimal move when it's player's turn, look for MAX value
if opt == MAX:
value = -INF
for move in board.legal_moves():
board.push(move)
value = max(
value,
_alpha_beta(board, transpositions, color, depth - 1, alpha,
beta, MIN))
transpositions[hash(board)] = value
board.pop()
alpha = max(alpha, value)
if alpha >= beta:
break # beta-prune
return value
# else (it's other player's turn), look for MIN value (that'd be MAX from other player's perspective)
else: # opt == MIN
value = +INF
for move in board.legal_moves():
board.push(move)
value = min(
value,
_alpha_beta(board, transpositions, color, depth - 1, alpha,
beta, MAX))
transpositions[hash(board)] = value
board.pop()
beta = min(beta, value)
if alpha >= beta:
break # alpha-prune
return value
def test_push_jump_chain(self):
b = Board()
b.set_board(
",...,.o.o,.....,.o...o,.......,...o...o,....x....,.o.o,...")
b.push(b.legal_moves()[0])
self.assertEqual(",,,,,,,........x.,.o.o......,", b.get_board())
b.pop()
self.assertEqual(
",,.o.o......,,.o...o....,,...o...o..,....x.....,.o.o......,",
b.get_board())
pass
def test_border_twice(self):
b = Board()
b.set_board("...X")
cx = Checker(WHITE, True)
b.push([Move(cx, (3, 0), (5, 2))])
self.assertTrue(True, cx.crowned)
b.push([Move(cx, (5, 2), (7, 0))])
self.assertTrue(True, cx.crowned)
b.pop()
self.assertTrue(True, cx.crowned)
b.pop()
self.assertTrue(True, cx.crowned)
def test_push_jump_chain_end_on_jumped(self):
b = Board()
b.set_board(
",,,,,....x.x...,.x.x......,......x.x.,.x........,..O.......")
b.color = BLACK
print(b.legal_moves()[0])
b.push(b.legal_moves()[0])
self.assertEqual(",,,,,,...O......,,,", b.get_board())
b.pop()
self.assertEqual(
",,,,,....x.x...,.x.x......,......x.x.,.x........,..O.......",
b.get_board())
def test_push_chain_no_crowning(self):
b = Board()
b.set_board(",......o.o.,,....o.....,...x......")
b.push(b.legal_moves()[0])
self.assertIsNotNone(b.checker_at(9, 2))
self.assertFalse(b.checker_at(9, 2).crowned)
b.pop()
self.assertEqual(",......o.o.,,....o.....,...x......,,,,,",
b.get_board())
self.assertIsNone(b.checker_at(9, 2))
self.assertFalse(b.checker_at(3, 4).crowned)
pass
def test_promotion_pop(self):
b = Board()
b.set_board(",x")
b.push(b.legal_moves()[0])
chk = Checker(WHITE, True)
self.assertTrue(b.move_stack[-1][-1].is_promotion)
self.assertEqual(b.checker_at(1, 0), chk)
b.push([Move(chk, (1, 0), (5, 4))])
self.assertEqual(b.checker_at(5, 4), chk)
b.pop()
self.assertEqual(b.checker_at(1, 0), Checker(WHITE, True))
b.pop()
self.assertEqual(b.checker_at(0, 1), Checker(WHITE, False))
def test_push_chain_crowning(self):
# crowning can only happen if chain ended at the proper place (crowning can't happen in the middle of the chain)
b = Board()
b.set_board(",......o...,,....o.....,...x......")
b.push(b.legal_moves()[0])
self.assertIsNotNone(b.checker_at(7, 0))
self.assertTrue(b.checker_at(7, 0).crowned)
b.pop()
self.assertEqual(",......o...,,....o.....,...x......,,,,,",
b.get_board())
self.assertIsNone(b.checker_at(7, 0))
self.assertFalse(b.checker_at(3, 4).crowned)
pass
def test_push_simple(self):
b = Board()
b.set_board(",,,,,,.x........,,,")
b.push(b.legal_moves()[0])
self.assertEqual(",,,,,x.........,,,,", b.get_board())
b.pop()
self.assertEqual(",,,,,,.x........,,,", b.get_board())
b = Board()
b.set_board(",,....o.....,,,,,,,")
b.color = checkers.BLACK
b.push(b.legal_moves()[0])
self.assertEqual(",,,...o......,,,,,,", b.get_board())
b.pop()
self.assertEqual(",,....o.....,,,,,,,", b.get_board())
pass
def test_push_crowning(self):
b = Board()
b.set_board(",.x")
b.push(b.legal_moves()[1])
self.assertEqual("..X.......,,,,,,,,,", b.get_board())
self.assertTrue(b.checker_at(2, 0).crowned)
b = Board()
b.set_board(",,,,,,,,....o,")
b.color = False
b.push(b.legal_moves()[0])
self.assertEqual(",,,,,,,,,...O......", b.get_board())
self.assertTrue(b.checker_at(3, 9).crowned)
b.pop()
self.assertEqual(",,,,,,,,....o.....,", b.get_board())
self.assertFalse(b.checker_at(4, 8).crowned)
pass
def get_state(move: Move, board: Board):
board.push(move)
n_our_un_crwn_pices = board.get_board().count(our_pics)
n_their_un_crwn_pices = board.get_board().count(their_pics)
n_our_king = board.get_board().count(our_kings)
n_their_king = board.get_board().count(their_kings)
n_pcs_on_edge = get_pics_on_edge(our_pics, our_kings, board)
own_center_of_mass = 0
their_center_of_mass = 0
board.pop()
return State(n_our_un_crwn_pices,
n_their_un_crwn_pices,
n_our_king,
n_their_king,
n_pcs_on_edge,
own_center_of_mass,
their_center_of_mass)
def test_push_jump(self):
b = Board()
b.set_board(",,....o,...x")
b.push(b.legal_moves()[0])
self.assertIsNone(b.checker_at(4, 2))
self.assertEqual(",.....x....,,,,,,,,", b.get_board())
b.pop()
self.assertIsNotNone(b.checker_at(4, 2))
self.assertEqual(",,....o.....,...x......,,,,,,", b.get_board())
b = Board()
b.set_board(",,,,......x...,.....o....,,,,")
b.color = checkers.BLACK
b.push(b.legal_moves()[0])
self.assertIsNone(b.checker_at(6, 4))
self.assertEqual(",,,.......o..,,,,,,", b.get_board())
b.pop()
self.assertIsNotNone(b.checker_at(6, 4))
self.assertEqual(",,,,......x...,.....o....,,,,", b.get_board())
pass
def alpha_beta_search(board: Board, max_depth: int) -> Move:
"""
Returns best Move for given Board, found by performing minimax algorithm with alpha-beta pruning.
:param board: Board to start search from
:param max_depth: Maximum tree depth to search
:return: best found Move
"""
# By international checker rules and for given board_value function, board_value has a range of [-20, 20]
best_move, best_value = None, -INF
# Perform MAX step explicitly, storing best move and it's value
player_color = True
for move in board.legal_moves():
board.push(move)
value = _alpha_beta(board, {}, player_color, max_depth, -INF, +INF,
MAX)
board.pop()
if value > best_value:
best_move = move
return best_move
if new_state.to_string() not in T:
optimal_future_value = 0
else:
key_of_max = max(T[new_state.to_string()].keys(), key=(lambda k: T[new_state.to_string()][k]))
optimal_future_value = T[new_state.to_string()][key_of_max]
# Now we update transition table:
# new_value <- (1-_alpha)old_value + _alpha*(reward_for_transition + _delta*(max (all_new_potential_transitions - current_transition)))
if current_state not in T:
T[current_state.to_string()] = {}
T[current_state.to_string()][new_state.to_string()] = old_transition_value + _alpha*value_of_transition + _delta*optimal_future_value
# Make move
move = action_by_transition[chosen_transition_key]
board.push(move)
print("Q-learn made a move:\n")
print(board)
print("----- ----- -----")
# AlphaBeta makes move
# !! important: work with this copy of a board to prevent
# accidental changes to actual game state.
board_copy = copy.deepcopy(board)
best_move = alpha_beta_search(board_copy, 4)
if best_move is not None:
board.push(best_move)
else: