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game.py
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| 1 |
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import numpy as np
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| 2 |
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| 3 |
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WIN_PATTERNS = [
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(0, 1, 2),
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(3, 4, 5),
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(6, 7, 8),
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(0, 3, 6),
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(1, 4, 7),
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(2, 5, 8),
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(0, 4, 8),
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(2, 4, 6),
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]
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class UltimateTicTacToe:
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"""
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+
A very, very simple game of ConnectX in which we have:
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rows: 1
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columns: 4
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winNumber: 2
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"""
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def __init__(self):
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self.cells = 81
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self.board_width = 9
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self.state_planes = 9
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| 26 |
+
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| 27 |
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def get_init_board(self):
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b = np.zeros((self.cells,), dtype=int)
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return (b, None)
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+
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| 31 |
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def get_board_size(self):
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return (self.state_planes, self.board_width, self.board_width)
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def get_action_size(self):
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return self.cells
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def get_next_state(self, board, player, action, verify_move=False):
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| 38 |
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if verify_move:
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if self.get_valid_moves(board)[action] == 0:
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return False
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| 41 |
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new_board_data = np.copy(board[0])
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| 42 |
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new_board_data[action] = player
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| 43 |
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| 44 |
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next_board = ((action // 9) % 3) * 3 + (action % 3)
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| 45 |
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next_board = next_board if not self.is_board_full(new_board_data, next_board) else None
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| 46 |
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# Return the new game, but
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# change the perspective of the game with negative
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| 49 |
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return ((new_board_data, next_board), -player)
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| 50 |
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| 51 |
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def is_board_full(self, board_data, next_board):
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return self._is_small_board_win(board_data, next_board, 1) or self._is_small_board_win(board_data, next_board, -1) or self._is_board_full(board_data, next_board)
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| 53 |
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| 54 |
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def _small_board_cells(self, inner_board_idx):
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row_block = inner_board_idx // 3
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| 56 |
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col_block = inner_board_idx % 3
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| 57 |
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| 58 |
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base = row_block * 27 + col_block * 3
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| 59 |
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return [
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base, base + 1, base + 2,
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| 62 |
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base + 9, base + 10, base + 11,
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| 63 |
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base + 18, base + 19, base + 20
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| 64 |
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]
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| 65 |
+
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| 66 |
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def _is_board_full(self, board_data, next_board):
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| 67 |
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# Check if it is literally full
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| 68 |
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cells = self._small_board_cells(next_board)
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| 69 |
+
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| 70 |
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for a in cells:
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| 71 |
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if board_data[a] == 0:
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return False
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| 73 |
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return True
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| 74 |
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| 75 |
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def _is_playable_small_board(self, board_data, inner_board_idx):
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return not self.is_board_full(board_data, inner_board_idx)
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| 77 |
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| 78 |
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def has_legal_moves(self, board):
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valid_moves = self.get_valid_moves(board)
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| 80 |
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for i in valid_moves:
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| 81 |
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if i == 1:
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return True
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| 83 |
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return False
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| 85 |
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def get_valid_moves(self, board):
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| 86 |
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# All moves are invalid by default
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| 87 |
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board_data, active_board = board
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| 88 |
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valid_moves = [0] * self.get_action_size()
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| 89 |
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| 90 |
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if active_board is not None and not self._is_playable_small_board(board_data, active_board):
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| 91 |
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active_board = None
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| 92 |
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| 93 |
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if active_board is None:
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| 94 |
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playable_boards = [
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| 95 |
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inner_board_idx
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| 96 |
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for inner_board_idx in range(9)
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| 97 |
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if self._is_playable_small_board(board_data, inner_board_idx)
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| 98 |
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]
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| 99 |
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for inner_board_idx in playable_boards:
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| 100 |
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for index in self._small_board_cells(inner_board_idx):
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| 101 |
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if board_data[index] == 0:
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| 102 |
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valid_moves[index] = 1
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| 103 |
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else:
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| 104 |
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for index in self._small_board_cells(active_board):
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| 105 |
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if board_data[index] == 0:
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valid_moves[index] = 1
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| 108 |
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return valid_moves
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| 110 |
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def _is_small_board_win(self, board_data, inner_board_idx, player):
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| 111 |
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cells = self._small_board_cells(inner_board_idx)
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| 112 |
+
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| 113 |
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for a, b, c in WIN_PATTERNS:
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| 114 |
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if board_data[cells[a]] == board_data[cells[b]] == board_data[cells[c]] == player:
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| 115 |
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return True
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| 116 |
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| 117 |
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return False
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| 118 |
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| 119 |
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def is_win(self, board, player):
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| 120 |
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board_data, _ = board
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| 121 |
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won = [self._is_small_board_win(board_data, i, player) for i in range(9)]
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| 122 |
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| 123 |
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# Check if any winning combination is all 1s
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| 124 |
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for a, b, c in WIN_PATTERNS:
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if won[a] and won[b] and won[c]:
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| 126 |
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return True
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| 127 |
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| 128 |
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return False
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| 129 |
+
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| 130 |
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def get_reward_for_player(self, board, player):
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| 131 |
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# return None if not ended, 1 if player 1 wins, -1 if player 1 lost
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| 132 |
+
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| 133 |
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if self.is_win(board, player):
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| 134 |
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return 1
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| 135 |
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if self.is_win(board, -player):
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| 136 |
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return -1
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| 137 |
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if self.has_legal_moves(board):
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| 138 |
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return None
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| 139 |
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| 140 |
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return 0
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| 141 |
+
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| 142 |
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def get_canonical_board_data(self, board_data, player):
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| 143 |
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return player * board_data
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| 144 |
+
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| 145 |
+
def _small_board_mask(self, inner_board_idx):
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| 146 |
+
mask = np.zeros((self.board_width, self.board_width), dtype=np.float32)
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| 147 |
+
for index in self._small_board_cells(inner_board_idx):
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| 148 |
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row = index // self.board_width
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| 149 |
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col = index % self.board_width
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| 150 |
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mask[row, col] = 1.0
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| 151 |
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return mask
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| 152 |
+
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| 153 |
+
def encode_state(self, board):
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| 154 |
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board_data, active_board = board
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| 155 |
+
board_grid = board_data.reshape(self.board_width, self.board_width)
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| 156 |
+
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| 157 |
+
current_stones = (board_grid == 1).astype(np.float32)
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| 158 |
+
opponent_stones = (board_grid == -1).astype(np.float32)
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| 159 |
+
empty_cells = (board_grid == 0).astype(np.float32)
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| 160 |
+
legal_moves = np.array(self.get_valid_moves(board), dtype=np.float32).reshape(self.board_width, self.board_width)
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| 161 |
+
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| 162 |
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active_board_mask = np.zeros((self.board_width, self.board_width), dtype=np.float32)
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| 163 |
+
if active_board is not None and self._is_playable_small_board(board_data, active_board):
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| 164 |
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active_board_mask = self._small_board_mask(active_board)
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| 165 |
+
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| 166 |
+
current_won_boards = np.zeros((self.board_width, self.board_width), dtype=np.float32)
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| 167 |
+
opponent_won_boards = np.zeros((self.board_width, self.board_width), dtype=np.float32)
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| 168 |
+
playable_boards = np.zeros((self.board_width, self.board_width), dtype=np.float32)
|
| 169 |
+
|
| 170 |
+
for inner_board_idx in range(9):
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| 171 |
+
board_mask = self._small_board_mask(inner_board_idx)
|
| 172 |
+
if self._is_small_board_win(board_data, inner_board_idx, 1):
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| 173 |
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current_won_boards += board_mask
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| 174 |
+
elif self._is_small_board_win(board_data, inner_board_idx, -1):
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| 175 |
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opponent_won_boards += board_mask
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| 176 |
+
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| 177 |
+
if self._is_playable_small_board(board_data, inner_board_idx):
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| 178 |
+
playable_boards += board_mask
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| 179 |
+
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| 180 |
+
move_count = np.count_nonzero(board_data) / self.cells
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| 181 |
+
move_count_plane = np.full((self.board_width, self.board_width), move_count, dtype=np.float32)
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| 182 |
+
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| 183 |
+
return np.stack(
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| 184 |
+
(
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| 185 |
+
current_stones,
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| 186 |
+
opponent_stones,
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| 187 |
+
empty_cells,
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| 188 |
+
legal_moves,
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| 189 |
+
active_board_mask,
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| 190 |
+
current_won_boards,
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| 191 |
+
opponent_won_boards,
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| 192 |
+
playable_boards,
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| 193 |
+
move_count_plane,
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| 194 |
+
),
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| 195 |
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axis=0,
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| 196 |
+
)
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