def reasoning_discards(hand, invisible_player_perspective, tile, win):
hand_temp = hand - TileSet([tile])
reasoning = HeuristicPatternMatchWaiting(win)
waiting_step, useful_tiles = reasoning.waiting_and_useful_tiles(hand_temp)
useful_tiles_count = sum(
len(set(tile_to_tenhou_range(tile)) & invisible_player_perspective)
for tile in useful_tiles)
return ReasoningItem(tile, waiting_step, useful_tiles, useful_tiles_count)
def before_waiting_step(self, hand: TileSet, ignore_4counts=True) -> int:
if self.win_pattern.match(hand):
return -1
for need_tiles in count(1):
for tiles in product(TileDistribution.ALL_TILES, repeat=need_tiles):
added_hand = hand + TileSet(tiles)
if (ignore_4counts and all(v <= 4 for v in added_hand.values())) and self.win_pattern.match(added_hand):
return need_tiles - 1
def before_waiting_step(self, hand: TileSet, ignore_4counts=True):
self.max_used_tiles = sum(hand.values())
borrows = self.init_search_by_hand(hand)
result_iter = self._win_selections_in_tiles(hand, ignore_4counts, self.win_pattern, borrowed_limit(hand),
borrows, 0, 1)
return min(v for v, _, _ in result_iter) - 1
def batch_waiting_and_useful_tiles(self, hand, ignore_4counts=True):
waiting_step = self.before_waiting_step(hand)
result_iter = self.count_hand_borrow_combinition_iter(hand, ignore_4counts, waiting_step)
all_hand_cnt = defaultdict(set)
for _, sub_win, borrows in result_iter:
hand_win = reduce(operator.add, sub_win, TileSet())
can_drops = hand - hand_win
for can_pick_tile in can_drops:
all_hand_cnt[can_pick_tile].update(borrows)
for tile, hand_useful in all_hand_cnt.items():
yield tile, waiting_step, hand_useful
def _win_selections_in_tiles(self, hand: TileSet, max_used_tiles_count, ignore_4counts, current_state: WinPattern,
borrow_limits: TileSet, searching_start: List[Tile]):
if sum((-hand).values()) > max_used_tiles_count:
return
if ignore_4counts and not all(cnt >= borrow_limits[tile] for tile, cnt in hand.items()):
return
if current_state.has_win():
yield [], TileSet(-hand)
if current_state.need_count() > sum((+hand).values()) + max_used_tiles_count:
return
hand = hand.copy()
for tile in searching_start.copy():
for unit, state in current_state.next_states(tile):
hand_temp = hand.copy()
hand_temp.subtract(unit)
yield from (([unit] + tail, remains) for tail, remains in
self._win_selections_in_tiles(hand_temp, max_used_tiles_count, ignore_4counts, state,
borrow_limits, searching_start.copy()))
if hand[tile] >= 0:
del hand[tile]
searching_start.remove(tile)
def _win_selections_in_tiles(self, hand: TileSet, ignore_4counts, current_state: WinPattern,
borrow_limits: TileSet, searching_group: List[List[Tile]], borrowed_stage,
waiting_step_pruning):
# if borrowed_tile_count(hand) > self.max_used_tiles:
# return
if ignore_4counts and not all(cnt >= borrow_limits[tile] for tile, cnt in hand.items()):
return
if current_state.has_win():
borrowed = TileSet(-hand)
borrowed_count = sum(borrowed.values())
self.max_used_tiles = borrowed_count - waiting_step_pruning
logging.debug("found borrowing %s", borrowed)
yield borrowed_count, [], borrowed
return
# if current_state.need_count() > sum((+hand).values()) + self.max_used_tiles:
# return
hand = hand.copy()
basic_hand_borrowed = borrowed_tile_count(hand)
for can_borrowed in range(borrowed_stage, current_state.max_unit_length() + 1):
min_used_tiles = current_state.need_units() * can_borrowed
searching_round_old = searching_group[can_borrowed]
searching_round = searching_round_old.copy()
temp_searching_group = searching_group.copy()
temp_searching_group[can_borrowed] = searching_round
hand_round = hand
for tile in searching_round.copy():
for unit, state in current_state.next_states(tile):
if basic_hand_borrowed + min_used_tiles <= self.max_used_tiles:
logging.debug("test %s in %s at borrow stage %d", unit, hand, can_borrowed)
hand_temp = hand_round.copy()
hand_temp.subtract(unit)
borrowed_new = borrowed_tile_count(hand_temp)
if borrowed_new - basic_hand_borrowed == can_borrowed:
logging.debug("search %s in %s borrowed %s", unit, hand, TileSet(-hand))
yield from ((cnt, [unit] + patterns, borrowed) for cnt, patterns, borrowed in
self._win_selections_in_tiles(hand_temp, ignore_4counts, state,
borrow_limits,
temp_searching_group, can_borrowed,
waiting_step_pruning))
else:
logging.debug("%s plan to borrowing out of range %d",
hand,
self.max_used_tiles - basic_hand_borrowed)
return
searching_round.remove(tile)
def reasoning_discards(hand, invisible_player_perspective, tile, win):
hand_temp = hand - TileSet([tile])
reasoning = HeuristicPatternMatchWaiting(win)
waiting_step, useful_tiles = reasoning.waiting_and_useful_tiles(hand_temp)
return convert_to_reasoning(invisible_player_perspective, tile, useful_tiles, waiting_step)
def discard_reasoning(discard_event, hand_state, invisible_tiles_state, player, player_meld_state):
invisible_player_perspective = invisible_tiles_state.value - set(hand_state.value)
meld_count = sum(1 for meld in player_meld_state.value if not isinstance(meld, Kita))
hand = TileSet(tile_from_tenhou(index) for index in hand_state.value)
logger.info("reasoning {}", hand)
win_types = [NormalTypeWin(melds=4 - meld_count)]
reasoning_names = ["normal_reasonings", "seven_pair_reasonings"]
if meld_count == 0:
win_types.append(UniquePairs())
win_reasonings = all_win_type_reasoning(hand, invisible_player_perspective, win_types)
merged_win_reasonings = [
reasoning_merge(list(reasoning_same_discard), invisible_player_perspective)
for reasoning_same_discard in zip(*win_reasonings)
]
merged_win_reasonings.sort(key=reasoning_key)
_, expected_reasonings = next(groupby(merged_win_reasonings, key=reasoning_key))
expected_reasonings = list(expected_reasonings)
your_choice_tile = tile_from_tenhou(player.discard_tile_index(discard_event))
your_choice_reasoning = reasoning_merge(
[reasoning_discards(hand, invisible_player_perspective, your_choice_tile, win)
for win in win_types
], invisible_player_perspective
)
# find_in_list(merged_win_reasonings,
# key=lambda x: x.discard_tile == your_choice_tile)
for win_reasoning in win_reasonings:
win_reasoning.sort(key=reasoning_key)
# TODO add wrong rate for reason display.
expect_shanten, expect_counts = reasoning_key(expected_reasonings[0])
your_shanten, your_counts = reasoning_key(your_choice_reasoning)
expect_counts = -expect_counts
your_counts = -your_counts
shanten_sequence_count = len(invisible_player_perspective) ** (your_shanten - expect_shanten)
base = expect_counts * shanten_sequence_count
# print("base=", base, "expect_counts=", expect_counts, "your_counts=", your_counts)
correct_rate = your_counts / base
wrong_rate = 1 - correct_rate
# print("correct=", correct_rate, "wrong=", wrong_rate)
your_choice_reasoning.norm()
for item in expected_reasonings:
item.norm()
for item in merged_win_reasonings:
item.norm()
hand_str = join_tiles(to_plain_tile(x) for x in hand.tiles())
meld_strs = [
join_tiles(to_plain_tile(tile_from_tenhou(x))
for x in list(meld.self_tiles) + list(meld.borrowed_tiles))
for meld in player_meld_state.value
]
round_reasoning = RoundReasoning(
hand_str, meld_strs,
your_choice_reasoning, expected_reasonings, merged_win_reasonings,
wrong_rate, False
)
logger.info("reasoned {}", hand)
for name, win_reason in zip(reasoning_names, win_reasonings):
for item in win_reason:
item.norm()
setattr(round_reasoning, name, win_reason)
return round_reasoning
def test_useful_tiles(hand, useful):
assert TileSet(BruteForceWaiting(NormalTypeWin()).useful_tiles(tile_set_from_string(hand))) \
== tile_set_from_string(useful)
def main():
input_hand = tile_set_from_string(input('Input hand:'))
while len(input_hand) != 14:
print("Input hand should be 14 tiles, e.g. 123m067p9s1234567z. " +
"You have input %s legal tiles" % len(input_hand))
input_hand = tile_set_from_string(input('Input hand:'))
remain_tiles = TileSet(TileDistribution.ALL_TILES * 4) - input_hand
remain_tile_distribution = StaticWall(remain_tiles)
possible_discard = {tile: input_hand - TileSet([tile]) for tile in input_hand}
remain_draw_count = int(input('Remain times for drawing tiles:'))
win_counter = Counter()
condition_win_counter = defaultdict(Counter)
try_count = input('Experiment times (default 1000):')
try_count = 1000 if try_count.strip() == '' else int(try_count)
normal_win = NormalTypeWin()
seven_pair = UniquePairs()
win_patterns = [normal_win, seven_pair]
avg_win_counter = Counter()
total_win_count = 0
elapsed_time = 0
start = perf_counter()
task_start_time = start
for i in range(try_count):
sample_wall = TileSet(remain_tile_distribution.sample(remain_draw_count))
possible_win_set = set()
for tile, hand in possible_discard.items():
total_hand = hand + sample_wall
for win_pattern in win_patterns:
if win_pattern.match(total_hand):
win_counter.update([tile])
total_win_count += 1
possible_win_set.add(tile)
break
for tile in possible_win_set:
avg_win_counter[tile] += 1 / len(possible_win_set)
for no_win_tile in set(possible_discard.keys()) - possible_win_set:
for tile in possible_win_set:
condition_win_counter[no_win_tile][tile] += 1 / len(possible_win_set)
interval = perf_counter() - start
if interval > 1:
start = perf_counter()
elapsed_time = start - task_start_time
done = i + 1
eta = elapsed_time / done * try_count - elapsed_time
print("Experiments %d/%d with %.1fs, ETA %.1fs" % (done, try_count, elapsed_time, eta))
solution_count = len(possible_discard)
print("Done in %.1fs!" % (perf_counter() - task_start_time))
solution_tiles = list(possible_discard.keys())
min_rate = 1 / try_count
condition_matrix = np.full((solution_count, solution_count), min_rate, dtype=np.double)
for condition_index, condition_tile in enumerate(solution_tiles):
self_transfer_rate = avg_win_counter[condition_tile] / total_win_count
# self_transfer_rate = 0
for transfer_index, transfer_tile in enumerate(solution_tiles):
transfer_count = condition_win_counter[condition_tile][transfer_tile]
condition_count = win_counter[transfer_tile]
if transfer_count > 0 and condition_count > 0:
condition_matrix[transfer_index][condition_index] = transfer_count
condition_matrix[:, condition_index] *= ((1 - self_transfer_rate) / sum(condition_matrix[:, condition_index]))
condition_matrix[condition_index][condition_index] = self_transfer_rate
# FIXME: add regularization of Markov possibilities matrix (column sum equals 1).
# FIXME: define proper self retain possibilities.
condition_matrix = np.matrix(condition_matrix)
unbiased_distribution = np.full((solution_count,), 1 / solution_count)
rough_pick = condition_matrix * (unbiased_distribution.reshape(1, -1).transpose())
rough_pick = np.array(rough_pick).reshape(-1)
eigenvalues, eigenvectors = LA.eig(condition_matrix)
nearest_one_index = abs(eigenvalues - 1).argmin()
infinite_pick = eigenvectors[:, nearest_one_index]
infinite_pick = np.array(infinite_pick).reshape(-1)
infinite_pick /= sum(infinite_pick)
pick_rank_map = {tile: (rough, infinite) for tile, rough, infinite in
zip(solution_tiles, rough_pick, infinite_pick)}
# results = sorted(win_counter.items(), key=lambda tup: tup[1], reverse=True)
results = sorted(pick_rank_map.items(), key=lambda tup: tup[1][1], reverse=True)
print("for input hand <%s>, remain %d draws:" % (input_hand, remain_draw_count))
for tile, (rough, infinite) in results:
# rough, infinite = pick_rank_map[tile]
win_count = win_counter[tile]
print("discard %s: %.2f%% win rate (%d/%d), %.2f%% rough pick rate, %.2f%% accurate pick rate" %
(tile,
win_count * 100 / try_count,
win_count, try_count
, rough * 100, infinite * 100))
os.system('pause')
def tile_set_from_tenhou(tenhou_ints: Iterable[int]):
return TileSet(tile_from_tenhou(x) for x in tenhou_ints)
def test_pattern_useful_tiles(hand, useful):
assert TileSet(PatternMatchWaiting(NormalTypeWin()).useful_tiles(tile_set_from_string(hand))) \
== tile_set_from_string(useful)
def useful_tiles(self, hand: TileSet, ignore_4counts=True):
self_waiting = self.before_waiting_step(hand)
return set(tile for tile in TileDistribution.ALL_TILES if
(ignore_4counts and hand[tile] < 4) and
self.before_waiting_step(hand + TileSet([tile])) < self_waiting)
def need_to_borrow(hand: TileSet, unit: TileSet):
hand = hand.copy()
hand.subtract(unit)
return borrowed_tile_count(hand)
def test_batch_convert(hand_rec):
hand, record_map = hand_rec
for tile, step, useful in HeuristicPatternMatchWaiting(NormalTypeWin()).batch_waiting_and_useful_tiles(hand):
assert record_map[tile] == TileSet(useful)