def hmin_alpha_beta(state, player, pits, initial_max, alpha, beta, d):
global count
count = count + 1
if d == 0: # Reached depth threshold, evaluate heuristic
return evaluate(state, pits, initial_max)
if terminal_test(state, pits):
return utility(state, pits, initial_max)
u = math.inf # max possible utility
actions = available_actions(state, player, pits)
for a in actions: # Check each possible action for minimmum utility
player_copy = player
state_copy = [row[:] for row in state]
result_player, result_state = action(player_copy, a, state_copy, pits)
if result_player == player: # Run min_value if next player is MIN
u = min([
u,
hmin_alpha_beta(result_state, result_player, pits, initial_max,
alpha, beta, d - 1)
])
if u <= alpha:
return u
beta = min(beta, u)
else: # Run max_value if next player is MAX
u = min([
u,
hmax_alpha_beta(result_state, result_player, pits, initial_max,
alpha, beta, d - 1)
])
return u
def halpha_beta(state, player, pits, d):
global count
actions = available_actions(state, player, pits)
max_action = 0
initial_max = player # Define initial MAX player for purpose of defining utility
u = -math.inf
alpha = -math.inf
beta = math.inf
for a in actions:
player_copy = player
state_copy = [row[:] for row in state]
result_player, result_state = action(
player_copy, a, state_copy,
pits) # Check resulting state of each action
if result_player == player: # Run max_value if next player is MAX
u_a = hmax_alpha_beta(result_state, result_player, pits,
initial_max, alpha, beta, d)
if u < u_a:
u = u_a
max_action = a
alpha = max(u_a, alpha)
else: # Run min_value if next player is MIN
u_a = hmin_alpha_beta(
result_state, result_player, pits, initial_max, alpha, beta, d
) # Get the utility of the resulting state assuming player is minimum
if u < u_a:
u = u_a
max_action = a
alpha = max(u_a, alpha)
count_final = count
count = 0
return max_action, count_final
def hmaxvalue(state, player, pits, p_o, d):
global count
count = count + 1
v = -(math.inf)
player_initial = player
if d == 0: # Reached depth threshold, evaluate heuristic
return evaluate(state, pits, p_o)
if not terminal_test(state, pits):
actions = available_actions(state, player, pits)
for move in actions:
new_state = [row[:] for row in state]
player, new_state_1 = action(
player_initial, move, new_state,
pits) # Check resulting state of each action
if player == player_initial: # If same player, perform hmaxvalue again
v = max(v, hmaxvalue(new_state_1, player, pits, p_o, d - 1))
else: # If player changes, perform hminvalue
v = max(v, hminvalue(new_state_1, player, pits, p_o, d - 1))
else: # Terminal case reached, return utility
return utility(state, pits, p_o)
return v
def max_alpha_beta(state, player, pits, initial_max, alpha, beta):
global count
count = count + 1
if terminal_test(state, pits):
return utility(state, pits, initial_max)
u = -math.inf # min possible utility
actions = available_actions(state, player, pits)
for a in actions: # Check each possible action for maximum utility
player_copy = player
state_copy = [row[:] for row in state]
result_player, result_state = action(player_copy, a, state_copy, pits)
if result_player == player: # Run max_value if next player is MAX
u = max([
u,
max_alpha_beta(result_state, result_player, pits, initial_max,
alpha, beta)
])
if u >= beta:
return u
alpha = max(alpha, u)
else: # Run min_value if next player is MIN
u = max([
u,
min_alpha_beta(result_state, result_player, pits, initial_max,
alpha, beta)
])
return u
def min_value(state, player, pits, initial_max):
global count
count = count + 1
if terminal_test(state, pits):
return utility(state, pits, initial_max)
u = math.inf # Set maximum possible utility
actions = available_actions(state, player, pits)
for a in actions: # Check each possible action for minimmum utility
player_copy = player
state_copy = [row[:] for row in state]
result_player, result_state = action(player_copy, a, state_copy, pits)
if result_player == player: # Run min_value if next player is MIN
u = min(
[u,
min_value(result_state, result_player, pits, initial_max)])
else: # Run max_value if next player is MAX
u = min(
[u,
max_value(result_state, result_player, pits, initial_max)])
return u
def play_mancala(player, pits, board, f):
print_board(board, pits)
print("Player ", player, " turn")
possible_moves = available_actions(board, player, pits)
print("You can play the following moves", *possible_moves, sep=', ')
if not terminal_test(board, pits):
if board[player][0] == 'hu': # Human player
while True:
move = input("Please enter your move\n")
if int(move) in possible_moves:
break
else:
print("Invalid move, you can play the following moves",
*possible_moves,
sep=',')
continue
elif board[player][0] == 'ra': # Random player
move = random.choice(possible_moves)
elif board[player][0] == 'mi': # Minimax player
if len(possible_moves) == 1:
move = possible_moves[0]
count = 0
else:
move, count = minimax(board, player, pits)
f.write("Number of states searched is " + str(count) + "\n")
elif board[player][0] == 'ab': # Alpha Beta Pruning player
if len(possible_moves) == 1:
move = possible_moves[0]
count = 0
else:
move, count = alpha_beta(board, player, pits)
f.write("Number of states searched is " + str(count) + "\n")
elif board[player][0] == 'hm': # Heuristic Minimax player
if len(possible_moves) == 1:
move = possible_moves[0]
count = 0
else:
move, count = hminimax_decision(board, player, possible_moves,
pits, 10)
f.write("Number of states searched is " + str(count) + "\n")
elif board[player][0] == 'ha': # Heuristic Alpha Beta Pruning player
if len(possible_moves) == 1:
move = possible_moves[0]
count = 0
else:
move, count = halpha_beta(board, player, pits, 10)
f.write("Number of states searched is " + str(count) + "\n")
print("Player", player, " plays ->", int(move))
f.write("Player " + str(player) + " plays -> " + str(move) + "\n\n")
move = int(move)
player, state = action(player, move, board, pits)
board = state
play_mancala(player, pits, board, f) # Play next move
else: # Terminal case reached
p0, p1 = calculate_score(board, pits)
if p0 > p1:
print("p0 wins with score", p0, " - ", p1)
f.write("player 0 wins with score " + str(p0) + " - " + str(p1) +
"\n\n")
elif p0 < p1:
print("p1 wins with score", p1, " - ", p0)
f.write("player 1 wins with score " + str(p1) + " - " + str(p0) +
"\n\n")
else:
print("scores tied", p0, " - ", p1)
f.write("Scores tied " + str(p1) + " - " + str(p0) + "\n\n")