X-Git-Url: https://git.sesse.net/?a=blobdiff_plain;f=roster%2Ftwofields_sat.py;fp=roster%2Ftwofields_sat.py;h=e95a8ba080952f876bb6acafd5d256027b161dd5;hb=b2f520916cf152c9d2c868f9181369127b485a12;hp=0000000000000000000000000000000000000000;hpb=74ac454c782401f07e3c26353073a4645c8b825a;p=ultimatescore diff --git a/roster/twofields_sat.py b/roster/twofields_sat.py new file mode 100644 index 0000000..e95a8ba --- /dev/null +++ b/roster/twofields_sat.py @@ -0,0 +1,275 @@ +from __future__ import print_function +import sys +import time +from ortools.sat.python import cp_model + + + +num_groups = 2 # NOTE: 2 is hard-coded in some places. +num_teams_per_group = 6 +num_teams = num_teams_per_group * num_groups +num_rounds = (num_teams_per_group * (num_teams_per_group - 1)) // 2 +num_matches = num_rounds * num_groups + +class SolutionPrinterWithObjective(cp_model.CpSolverSolutionCallback): + def __init__(self, home_teams, away_teams, matchnums, objective): + cp_model.CpSolverSolutionCallback.__init__(self) + self.__solution_count = 0 + self.__start_time = time.time() + self.__home_teams = home_teams + self.__away_teams = away_teams + self.__matchnums = matchnums + self.__objective = objective + + def OnSolutionCallback(self): + current_time = time.time() + self.__solution_count += 1 + print('Solution %i, time = %f s, objective = %d' % + (self.__solution_count, current_time - self.__start_time, self.Value(self.__objective))) + num_times_on_stream = [0 for team_idx in range(num_teams)] + num_times_tired = [0 for team_idx in range(num_teams)] + recently_played_0 = [False for team_idx in range(num_teams)] + recently_played_1 = [False for team_idx in range(num_teams)] + recently_played_2 = [False for team_idx in range(num_teams)] + recently_played_3 = [False for team_idx in range(num_teams)] + for i in range(num_matches // num_groups): + recently_played_4 = [False for team_idx in range(num_teams)] + print("%2d. " % (i), end='') + for g in range(num_groups): + j = i * num_groups + g + home_team = self.Value(self.__home_teams[j]) + away_team = self.Value(self.__away_teams[j]) + matchnum = self.Value(self.__matchnums[j]) + + if g == 0: + num_times_on_stream[home_team] = num_times_on_stream[home_team] + 1 + num_times_on_stream[away_team] = num_times_on_stream[away_team] + 1 + + tiredness = 0 + if recently_played_2[home_team]: + tiredness = tiredness + 1 + num_times_tired[home_team] = num_times_tired[home_team] + 1 + if recently_played_0[home_team]: + tiredness = tiredness + 100 + if recently_played_2[away_team]: + tiredness = tiredness + 1 + num_times_tired[away_team] = num_times_tired[away_team] + 1 + if recently_played_0[away_team]: + tiredness = tiredness + 100 + recently_played_4[home_team] = True + recently_played_4[away_team] = True + + print("%s vs. %s (matchnum %2d, excitedness %d*%2d, tiredness %3d) " % (team_name(home_team), team_name(away_team), matchnum, excitedness[matchnum], excitedness_weight(j), tiredness), end='') + print() + recently_played_0 = recently_played_1 + recently_played_1 = recently_played_2 + recently_played_2 = recently_played_3 + recently_played_3 = recently_played_4 + print() + print("Number of times on stream: ", end='') + print(", ".join(["%s %d" % (team_name(team_idx), num_times_on_stream[team_idx]) for team_idx in range(num_teams)])) + print("Number of times tired: ", end='') + print(", ".join(["%s %d" % (team_name(team_idx), num_times_tired[team_idx]) for team_idx in range(num_teams)])) + print("Stream opponents for non-top-teams:") + for team_idx in (2, 3, 4, 5, 8, 9, 10, 11): + opp = [] + for i in range(num_matches // num_groups): + home_team = self.Value(self.__home_teams[i * 2]) + away_team = self.Value(self.__away_teams[i * 2]) + mark = "" + if abs(home_team - away_team) == 1: + mark = "*" + if team_idx == home_team: + opp.append(team_name(away_team) + mark) + if team_idx == away_team: + opp.append(team_name(home_team) + mark) + print(" %s: %s" % (team_name(team_idx), ", ".join(sorted(opp)))) + + +def excitedness_weight(match_idx): + field = match_idx % num_groups + match_order = match_idx // num_groups + if field == 0: + return match_order + 5 + else: + return match_order + +def team_name(team_idx): + if team_idx < num_teams_per_group: + return "A%d" % (team_idx) + else: + return "B%d" % (team_idx - num_teams_per_group) + +model = cp_model.CpModel() + +# Create match variables. +matchnums = [] +for match_idx in range(num_matches): + matchnums.append(model.NewIntVar(0, num_matches - 1, "matchnum(%i)" % (match_idx))) +model.AddAllDifferent(matchnums) + +# Create list of matches. +match_idx = 0 +excitedness = [] +home_teams_for_match_num = [] +away_teams_for_match_num = [] +for group in range(num_groups): + for team_idx_1 in range(num_teams_per_group): + for team_idx_2 in range(num_teams_per_group): + if team_idx_2 > team_idx_1: + real_team_idx_1 = team_idx_1 + num_teams_per_group * group + real_team_idx_2 = team_idx_2 + num_teams_per_group * group + home_teams_for_match_num.append(real_team_idx_1) + away_teams_for_match_num.append(real_team_idx_2) + if team_idx_2 - team_idx_1 == 1: + excitedness.append(5) + elif team_idx_2 - team_idx_1 == 2: + excitedness.append(2) + else: + excitedness.append(0) + print("matchnum %2d: %2d vs. %2d, excited: %d" % (match_idx, real_team_idx_1, real_team_idx_2, excitedness[match_idx])) + match_idx = match_idx + 1 + +# Create match variables. +home_teams = [] +away_teams = [] +for match_idx in range(num_matches): + home_teams.append(model.NewIntVar(0, num_teams - 1, "home_team_match%i" % (match_idx))) + away_teams.append(model.NewIntVar(0, num_teams - 1, "away_team_match%i" % (match_idx))) +matches_flat = home_teams + away_teams + +for match_idx in range(num_matches): + model.AddElement(matchnums[match_idx], home_teams_for_match_num, home_teams[match_idx]) + model.AddElement(matchnums[match_idx], away_teams_for_match_num, away_teams[match_idx]) + +# Boolean variables +home_team_in_match_x_is_y = [[ + model.NewBoolVar('home_team_in_match_%d_is_%d' % (match_idx, team_idx)) for team_idx in range(num_teams) +] for match_idx in range(num_matches)] + +away_team_in_match_x_is_y = [[ + model.NewBoolVar('away_team_in_match_%d_is_%d' % (match_idx, team_idx)) for team_idx in range(num_teams) +] for match_idx in range(num_matches)] + +match_x_has_num_y = [[ + model.NewBoolVar('match_%d_has_number_%d' % (a, b)) for a in range(num_matches) +] for b in range(num_matches)] + +for match_idx in range(num_matches): + model.AddMapDomain(matchnums[match_idx], match_x_has_num_y[match_idx]) + model.AddMapDomain(home_teams[match_idx], home_team_in_match_x_is_y[match_idx]) + model.AddMapDomain(away_teams[match_idx], away_team_in_match_x_is_y[match_idx]) + +# Fields always play opposing groups (FIXME?) +for round_idx in range(num_rounds): + field_0_is_group_0 = model.NewBoolVar('field_0_round_%d_is_group_0' % (round_idx)) + model.AddMaxEquality(field_0_is_group_0, [match_x_has_num_y[round_idx * 2 + 0][match_idx] for match_idx in range(num_rounds)]) + field_1_is_group_0 = model.NewBoolVar('field_1_round_%d_is_group_0' % (round_idx)) + model.AddMaxEquality(field_1_is_group_0, [match_x_has_num_y[round_idx * 2 + 1][match_idx] for match_idx in range(num_rounds)]) + model.AddBoolXOr([field_0_is_group_0, field_1_is_group_0]) + +# A team can never play on the same field at the same time +#for team_idx in range(num_teams): +# for round_idx in range(num_rounds): +# plays_on_field_0 = model.NewBoolVar('plays_on_field0_t%d_r%d' % (team_idx, round_idx)) +# model.AddMaxEquality(plays_on_field_0, [ +# home_team_in_match_x_is_y[round_idx * 2 + 0][team_idx], +# away_team_in_match_x_is_y[round_idx * 2 + 0][team_idx]]) +# plays_on_field_1 = model.NewBoolVar('plays_on_field1_t%d_r%d' % (team_idx, round_idx)) +# model.AddMaxEquality(plays_on_field_1, [ +# home_team_in_match_x_is_y[round_idx * 2 + 1][team_idx], +# away_team_in_match_x_is_y[round_idx * 2 + 1][team_idx]]) +# model.AddBoolOr([plays_on_field_0.Not(), plays_on_field_1.Not()]) + +plays_in_round = {} +for team_idx in range(num_teams): + plays_in_round[team_idx] = {} + for round_idx in range(num_rounds): + plays_in_round[team_idx][round_idx] = model.NewBoolVar('plays_in_round_t%d_r%d' % (team_idx, round_idx)) + model.AddMaxEquality(plays_in_round[team_idx][round_idx], [ + home_team_in_match_x_is_y[round_idx * 2 + 0][team_idx], + home_team_in_match_x_is_y[round_idx * 2 + 1][team_idx], + away_team_in_match_x_is_y[round_idx * 2 + 0][team_idx], + away_team_in_match_x_is_y[round_idx * 2 + 1][team_idx]]) + +# A team can never play two matches in a row +for round_idx in range(num_rounds - 1): + for team_idx in range(num_teams): + model.AddBoolOr([plays_in_round[team_idx][round_idx].Not(), plays_in_round[team_idx][round_idx + 1].Not()]) + +# Also, double-tired is not cool +#for round_idx in range(num_rounds - 4): +# for team_idx in range(num_teams): +# model.AddBoolOr([plays_in_round[team_idx][round_idx].Not(), plays_in_round[team_idx][round_idx + 2].Not(), plays_in_round[team_idx][round_idx + 4].Not()]) +# +# More waiting time is good +#tired_matches = [] +#for round_idx in range(num_rounds - 2): +# for team_idx in range(num_teams): +# tired = model.NewBoolVar('team_%d_is_tired_in_round_%d' % (team_idx, round_idx)) +# model.AddMinEquality(tired, [plays_in_round[team_idx][round_idx], plays_in_round[team_idx][round_idx + 2]]) +# tired_matches.append(tired) +#sum_tiredness = sum(tired_matches) + +# Each team gets play-rest-play exactly once, for fairness +for team_idx in range(num_teams): + tired_matches = [] + for round_idx in range(num_rounds - 2): + tired = model.NewBoolVar('team_%d_is_tired_in_round_%d' % (team_idx, round_idx)) + model.AddMinEquality(tired, [plays_in_round[team_idx][round_idx], plays_in_round[team_idx][round_idx + 2]]) + tired_matches.append(tired) + model.Add(sum(tired_matches) <= 1) +sum_tiredness = 0 + +# TFK can not play the first two matches +model.AddBoolAnd([plays_in_round[0][0].Not(), plays_in_round[0][1].Not()]) + +# Group finals come last, and on the stream field. +model.AddBoolOr([match_x_has_num_y[num_matches - 2][0], match_x_has_num_y[num_matches - 2][num_rounds]]) +model.AddBoolOr([match_x_has_num_y[num_matches - 4][0], match_x_has_num_y[num_matches - 4][num_rounds]]) + +# Count how many times each team has been on stream. +stream_penalties = [] +for team_idx in range(num_teams): + playing_on_stream = [] + for round_idx in range(num_rounds): + s = model.NewBoolVar('team_%d_plays_on_stream_in_round_%d' % (team_idx, round_idx)) + model.AddMaxEquality(s, [ + home_team_in_match_x_is_y[round_idx * 2 + 0][team_idx], + away_team_in_match_x_is_y[round_idx * 2 + 0][team_idx]]) + playing_on_stream.append(s) + times_on_stream_this_team = sum(playing_on_stream) + model.Add(times_on_stream_this_team >= 1) + + times_stream_var = model.NewIntVar(0, num_teams_per_group, "team_%d_stream_count" % (team_idx)) + model.Add(times_stream_var == times_on_stream_this_team) + #model.Add(times_on_stream_this_team <= 4) + + is_n_times_on_stream = [ + model.NewBoolVar('team_%d_is_%d_times_on_stream' % (team_idx, i)) for i in range(num_teams_per_group) + ] + model.AddMapDomain(times_stream_var, is_n_times_on_stream) + stream_penalties.append(is_n_times_on_stream[1] * -50) + stream_penalties.append(is_n_times_on_stream[4] * -10) + stream_penalties.append(is_n_times_on_stream[5] * -50) + +# Make sure each team has at least one exciting match on stream. +#for team_idx in range(team_idx): +# stream_matches_for_this_team = [] +# for round_idx in range(num_rounds): +# stream_matches_for_this_team.append(home_team_in_match_x_is_y[round_idx * 2 + 0][team_idx] * excitedness_weight(round_idx * 2 + 0)) +# stream_matches_for_this_team.append(away_team_in_match_x_is_y[round_idx * 2 + 0][team_idx] * excitedness_weight(round_idx * 2 + 0)) + +# Put the more exciting games later, and on stream fields +excitement = [] +for round_idx in range(num_rounds): + for match_idx in range(match_idx): + excitement.append(match_x_has_num_y[round_idx * 2 + 0][match_idx] * excitedness[match_idx] * excitedness_weight(round_idx * 2 + 0)) + excitement.append(match_x_has_num_y[round_idx * 2 + 1][match_idx] * excitedness[match_idx] * excitedness_weight(round_idx * 2 + 1)) +sum_excitement = sum(excitement) +objective = sum_excitement - 30 * sum_tiredness + 3 * sum(stream_penalties) +model.Maximize(objective) + +solver = cp_model.CpSolver() +solution_printer = SolutionPrinterWithObjective(home_teams, away_teams, matchnums, objective) +status = solver.SolveWithSolutionCallback(model, solution_printer)