""" HEXAPAWN A machine learning game, an interpretation of HEXAPAWN game as presented in Martin Gardner's "The Unexpected Hanging and Other Mathematical Diversions", Chapter Eight: A Matchbox Game-Learning Machine. Original version for H-P timeshare system by R.A. Kaapke 5/5/76 Instructions by Jeff Dalton Conversion to MITS BASIC by Steve North Port to Python by Dave LeCompte """ import collections import random PAGE_WIDTH = 64 HUMAN_PIECE = 1 EMPTY_SPACE = 0 COMPUTER_PIECE = -1 ComputerMove = collections.namedtuple('ComputerMove', ['x', 'y', 'm1', 'm2']) def print_centered(msg): spaces = " " * ((PAGE_WIDTH - len(msg)) // 2) print(spaces + msg) def print_header(title): print_centered(title) print_centered("CREATIVE COMPUTING MORRISTOWN, NEW JERSEY") print() print() print() def print_instructions(): print(""" THIS PROGRAM PLAYS THE GAME OF HEXAPAWN. HEXAPAWN IS PLAYED WITH CHESS PAWNS ON A 3 BY 3 BOARD. THE PAWNS ARE MOVED AS IN CHESS - ONE SPACE FORWARD TO AN EMPTY SPACE OR ONE SPACE FORWARD AND DIAGONALLY TO CAPTURE AN OPPOSING MAN. ON THE BOARD, YOUR PAWNS ARE 'O', THE COMPUTER'S PAWNS ARE 'X', AND EMPTY SQUARES ARE '.'. TO ENTER A MOVE, TYPE THE NUMBER OF THE SQUARE YOU ARE MOVING FROM, FOLLOWED BY THE NUMBER OF THE SQUARE YOU WILL MOVE TO. THE NUMBERS MUST BE SEPERATED BY A COMMA. THE COMPUTER STARTS A SERIES OF GAMES KNOWING ONLY WHEN THE GAME IS WON (A DRAW IS IMPOSSIBLE) AND HOW TO MOVE. IT HAS NO STRATEGY AT FIRST AND JUST MOVES RANDOMLY. HOWEVER, IT LEARNS FROM EACH GAME. THUS, WINNING BECOMES MORE AND MORE DIFFICULT. ALSO, TO HELP OFFSET YOUR INITIAL ADVANTAGE, YOU WILL NOT BE TOLD HOW TO WIN THE GAME BUT MUST LEARN THIS BY PLAYING. THE NUMBERING OF THE BOARD IS AS FOLLOWS: 123 456 789 FOR EXAMPLE, TO MOVE YOUR RIGHTMOST PAWN FORWARD, YOU WOULD TYPE 9,6 IN RESPONSE TO THE QUESTION 'YOUR MOVE ?'. SINCE I'M A GOOD SPORT, YOU'LL ALWAYS GO FIRST. """) def prompt_yes_no(msg): while True: print(msg) response = input().upper() if response[0] == "Y": return True elif response[0] == "N": return False def reverse_board_position(x): assert(x >= 1 and x < 10) score = {1: 3, 2: 2, 3: 1, 4: 6, 5: 5, 6: 4, 7: 9, 8: 8, 9: 7} return score[x] def get_b(x, y): data = [[-1, -1, -1, 1, 0, 0, 0, 1, 1], [-1, -1, -1, 0, 1, 0, 1, 0, 1], [-1, 0, -1, -1, 1, 0, 0, 0, 1], [ 0, -1, -1, 1, -1, 0, 0, 0, 1], [-1, 0, -1, 1, 1, 0, 0, 1, 0], [-1, -1, 0, 1, 0, 1, 0, 0, 1], [ 0, -1, -1, 0, -1, 1, 1, 0, 0], [ 0, -1, -1, -1, 1, 1, 1, 0, 0], [-1, 0, -1, -1, 0, 1, 0, 1, 0], [ 0, -1, -1, 0, 1, 0, 0, 0, 1], [ 0, -1, -1, 0, 1, 0, 1, 0, 0], [-1, 0, -1, 1, 0, 0, 0, 0, 1], [ 0, 0, -1, -1, -1, 1, 0, 0, 0], [-1, 0, 0, 1, 1, 1, 0, 0, 0], [ 0, -1, 0, -1, 1, 1, 0, 0, 0], [-1, 0, 0, -1, -1, 1, 0, 0, 0], [ 0, 0, -1, -1, 1, 0, 0, 0, 0], [ 0, -1, 0, 1, -1, 0, 0, 0, 0], [-1, 0, 0, -1, 1, 0, 0, 0, 0]] assert(x >= 1 and x < 20) assert(y >= 1 and y < 10) return data[x-1][y-1] m_data = [[24, 25, 36, 0], [14, 15, 36, 0], [15, 35, 36, 47], [36, 58, 59, 0], [15, 35, 36, 0], [24, 25, 26, 0], [26, 57, 58, 0], [26, 35, 0, 0], [47, 48, 0, 0], [35, 36, 0, 0], [35, 36, 0, 0], [36, 0, 0, 0], [47, 58, 0, 0], [15, 0, 0, 0], [26, 47, 0, 0], [47, 58, 0, 0], [35, 36, 47, 0], [28, 58, 0, 0], [15, 47, 0, 0]] def get_m(x, y): assert(x >= 1 and x < 20) assert(y >= 1 and y < 5) return m_data[x-1][y-1] def set_m(x, y, value): m_data[x-1][y-1] = value def init_board(): return ([COMPUTER_PIECE] * 3 + [EMPTY_SPACE] * 3 + [HUMAN_PIECE] * 3) def print_board(board): piece_dict = {COMPUTER_PIECE: 'X', EMPTY_SPACE: '.', HUMAN_PIECE: 'O'} space = " "*10 print() for i in range(3): line = "" for j in range(3): line += space space_number = i * 3 + j space_contents = board[space_number] line += piece_dict[space_contents] print(line) print() def get_coordinates(): while True: try: print ("YOUR MOVE?") response = input() m1, m2 = [int(c) for c in response.split(',')] return m1, m2 except ValueError as ve: print_illegal() def print_illegal(): print("ILLEGAL MOVE.") def board_contents(board, space_number): return board[space_number - 1] def set_board(board, space_number, new_value): board[space_number - 1] = new_value def is_legal_move(board, m1, m2): if board_contents(board, m1) != HUMAN_PIECE: # Start space doesn't contain player's piece return False if board_contents(board, m2) == HUMAN_PIECE: # Destination space contains player's piece (can't capture your own piece) return False # line 160 is_capture = (m2-m1 != -3) if is_capture and board_contents(board, m2) != COMPUTER_PIECE: # Destination does not contain computer piece return False # line 170 if m2 > m1: # can't move backwards return False # line 180 if (not is_capture) and board_contents(board, m2) != EMPTY_SPACE: # Destination is not open return False # line 185 if m2-m1 < -4: # too far return False # line 186 if m1 == 7 and m2 == 3: # can't jump corner to corner (wrapping around the board) return False return True def player_piece_on_back_row(board): for space in range(1,4): if board_contents(board, space) == HUMAN_PIECE: return True return False def computer_piece_on_front_row(board): for space in range(7, 10): if board_contents(board, space) == COMPUTER_PIECE: return True return False def all_human_pieces_captured(board): return len(list(get_human_spaces(board))) == 0 def all_computer_pieces_captured(board): return len(list(get_computer_spaces(board))) == 0 def human_win(last_computer_move): print("YOU WIN") set_m(last_computer_move.x, last_computer_move.y, 0) global l l += 1 def computer_win(has_moves): if has_moves: msg = "YOU CAN'T MOVE, SO " else: msg = "" msg += "I WIN" print(msg) global w w += 1 def show_scores(): print(f"I HAVE WON {w} AND YOU {l} OUT OF {w+l} GAMES.") print() def human_has_move(board): # line 690 for i in get_human_spaces(board): if board_contents(board, i-3) == EMPTY_SPACE: # can move piece forward return True elif reverse_board_position(i) == i: # line 780 # can capture from center if ((board_contents(board, i-2) == COMPUTER_PIECE) or (board_contents(board, i-4) == COMPUTER_PIECE)): return True else: continue elif i < 7: # Line 760 assert((i == 4) or (i == 6)) # can capture computer piece at 2 if board_contents(board, 2) == COMPUTER_PIECE: return True else: continue elif board_contents(board, 5) == COMPUTER_PIECE: assert((i == 7) or (i == 9)) # can capture computer piece at 5 return True else: continue return False def get_board_spaces(): yield from range(1, 10) def get_board_spaces_with(board, val): for i in get_board_spaces(): if board_contents(board, i) == val: yield i def get_human_spaces(board): yield from get_board_spaces_with(board, HUMAN_PIECE) def get_empty_spaces(board): yield from get_board_spaces_with(board, EMPTY_SPACE) def get_computer_spaces(board): yield from get_board_spaces_with(board, COMPUTER_PIECE) def has_computer_move(board): for i in get_computer_spaces(board): found_move = False if board_contents(board, i+3) == EMPTY_SPACE: # can move forward (down) return True # line 260 if reverse_board_position(i) == i: # i is in the middle column if ((board_contents(board, i + 2) == HUMAN_PIECE) or (board_contents(board, i + 4) == HUMAN_PIECE)): return True else: # line 270 if i > 3: # beyond the first row if board_contents(board, 8) == HUMAN_PIECE: # can capture on 8 return True else: continue else: # line 280 if board_contents(board, 5) == HUMAN_PIECE: # can capture on 5 return True else: continue return False def get_flipped_table(b_line): # TODO remove table altogether t = {} # line 360 for row in range(1, 4): for column in range(1, 4): # line 380 flipped_column = 4 - column # fill out t to represent the data from b flipped left to right space = (row-1) * 3 + column flipped_space = (row - 1) * 3 + flipped_column t[space] = get_b(b_line, flipped_space) return t def board_matches_b(b_line, board): for s in get_board_spaces(): if get_b(b_line, s) != board_contents(board, s): return False return True def board_matches_flipped_b(b_line, board): flipped_table = get_flipped_table(b_line) for s in get_board_spaces(): if flipped_table[s] != board_contents(board, s): return False return True def does_b_line_match(b_line, board): if board_matches_b(b_line, board): return True, False elif board_matches_flipped_b(b_line, board): return True, True else: return False, None def has_any_m_table(x): for i in range(1,5): if get_m(x, i) != 0: return True return False def pick_from_m_table(x): valid_y_list = [y for y in range(1,5) if get_m(x, y) != 0] assert(len(valid_y_list) > 0) return random.choice(valid_y_list) def get_move_for_b_line(b_line, reverse_board): # line 540 x = b_line if not has_any_m_table(x): return None # line 600 y = pick_from_m_table(x) # line 610 mxy = get_m(x, y) m1 = mxy // 10 m2 = mxy % 10 if reverse_board: m1 = reverse_board_position(m1) m2 = reverse_board_position(m2) return ComputerMove(x, y, m1, m2) def find_b_line_that_matches_board(board): for b_line in range(1,20): matches, reverse_board = does_b_line_match(b_line, board) if matches: return b_line, reverse_board # THE TERMINATION OF THIS LOOP IS IMPOSSIBLE print("ILLEGAL BOARD PATTERN.") assert(False) def pick_computer_move(board): if not has_computer_move(board): # Line 340 return None # line 350 b_line, reverse_board = find_b_line_that_matches_board(board) m = get_move_for_b_line(b_line, reverse_board) if m == None: print("I RESIGN") return None return m def play_game(): last_computer_move = None board = init_board() while True: print_board(board) has_legal_move = False while not has_legal_move: m1, m2 = get_coordinates() if not is_legal_move(board, m1, m2): print_illegal() else: # otherwise, acceptable move has_legal_move = True set_board(board, m1, 0) set_board(board, m2, 1) # line 205 print_board(board) if (player_piece_on_back_row(board) or all_computer_pieces_captured(board)): human_win(last_computer_move) return # line 230 computer_move = pick_computer_move(board) if computer_move is None: human_win(last_computer_move) return last_computer_move = computer_move m1, m2 = last_computer_move.m1, last_computer_move.m2 print(f"I MOVE FROM {m1} TO {m2}") set_board(board, m1, 0) set_board(board, m2, -1) # line 640 print_board(board) if (computer_piece_on_front_row(board) or all_human_pieces_captured(board)): computer_win(True) return elif not human_has_move(board): computer_win(False) return def main(): print_header("HEXAPAWN") if prompt_yes_no("INSTRUCTIONS (Y-N)?"): print_instructions() global w, l w = 0 l = 0 while True: play_game() show_scores() if __name__ == "__main__": main() """ 230 FOR I=1 TO 9 240 IF S(I)<>-1 THEN 330 250 IF S(I+3)=0 THEN 350 260 IF FNR(I)=I THEN 320 270 IF I>3 THEN 300 280 IF S(5)=1 THEN 350 290 GOTO 330 300 IF S(8)=1 THEN 350 310 GOTO 330 320 IF S(I+2)=1 OR S(I+4)=1 THEN 350 330 NEXT I 340 GOTO 820 350 FOR I=1 TO 19 360 FOR J=1 TO 3 370 FOR K=3 TO 1 STEP -1 380 T((J-1)*3+K)=B(I,(J-1)*3+4-K) 390 NEXT K 400 NEXT J 410 FOR J=1 TO 9 420 IF S(J)<>B(I,J) THEN 460 430 NEXT J 440 R=0 450 GOTO 540 460 FOR J=1 TO 9 470 IF S(J)<>T(J) THEN 510 480 NEXT J 490 R=1 500 GOTO 540 510 NEXT I 511 REMEMBER THE TERMINATION OF THIS LOOP IS IMPOSSIBLE 512 PRINT "ILLEGAL BOARD PATTERN." 530 STOP 540 X=I 550 FOR I=1 TO 4 560 IF M(X,I)<>0 THEN 600 570 NEXT I 580 PRINT "I RESIGN." 590 GOTO 820 600 Y=INT(RND(1)*4+1) 601 IF M(X,Y)=0 THEN 600 610 IF R<>0 THEN 630 620 PRINT "I MOVE FROM ";STR$(INT(M(X,Y)/10));" TO ";STR$(FNM(M(X,Y))) 622 S(INT(M(X,Y)/10))=0 623 S(FNM(M(X,Y)))=-1 624 GOTO 640 630 PRINT "I MOVE FROM ";STR$(FNR(INT(M(X,Y)/10)));" TO "; 631 PRINT STR$(FNR(FNM(M(X,Y)))) 632 S(FNR(INT(M(X,Y)/10)))=0 633 S(FNR(FNM(M(X,Y))))=-1 640 GOSUB 1000 641 IF S(7)=-1 OR S(8)=-1 OR S(9)=-1 THEN 870 650 FOR I=1 TO 9 660 IF S(I)=1 THEN 690 670 NEXT I 680 GOTO 870 690 FOR I=1 TO 9 700 IF S(I)<>1 THEN 790 710 IF S(I-3)=0 THEN 120 720 IF FNR(I)=I THEN 780 730 IF I<7 THEN 760 740 IF S(5)=-1 THEN 120 750 GOTO 790 760 IF S(2)=-1 THEN 120 770 GOTO 790 780 IF S(I-2)=-1 OR S(I-4)=-1 THEN 120 790 NEXT I 800 PRINT "YOU CAN'T MOVE, SO "; 810 GOTO 870 820 PRINT "YOU WIN." 830 M(X,Y)=0 840 L=L+1 850 PRINT "I HAVE WON";W;"AND YOU";L;"OUT OF";L+W;"GAMES." 851 PRINT 860 GOTO 100 870 PRINT "I WIN." 880 W=W+1 890 GOTO 850 """