git.sesse.net Git - ultimatescore/blob - roster/twofields_sat.py

   1 from __future__ import print_function
   2 import sys
   3 import time
   4 from ortools.sat.python import cp_model
   5
   6
   7
   8 num_groups = 2  # NOTE: 2 is hard-coded in some places.
   9 num_teams_per_group = 6
  10 num_teams = num_teams_per_group * num_groups
  11 num_rounds = (num_teams_per_group * (num_teams_per_group - 1)) // 2
  12 num_matches = num_rounds * num_groups
  13
  14 class SolutionPrinterWithObjective(cp_model.CpSolverSolutionCallback):
  15   def __init__(self, home_teams, away_teams, matchnums, objective):
  16     cp_model.CpSolverSolutionCallback.__init__(self)
  17     self.__solution_count = 0
  18     self.__start_time = time.time()
  19     self.__home_teams = home_teams
  20     self.__away_teams = away_teams
  21     self.__matchnums = matchnums
  22     self.__objective = objective
  23
  24   def OnSolutionCallback(self):
  25     current_time = time.time()
  26     self.__solution_count += 1
  27     print('Solution %i, time = %f s, objective = %d' %
  28           (self.__solution_count, current_time - self.__start_time, self.Value(self.__objective)))
  29     num_times_on_stream = [0 for team_idx in range(num_teams)]
  30     num_times_tired = [0 for team_idx in range(num_teams)]
  31     recently_played_0 = [False for team_idx in range(num_teams)]
  32     recently_played_1 = [False for team_idx in range(num_teams)]
  33     recently_played_2 = [False for team_idx in range(num_teams)]
  34     recently_played_3 = [False for team_idx in range(num_teams)]
  35     for i in range(num_matches // num_groups):
  36       recently_played_4 = [False for team_idx in range(num_teams)]
  37       print("%2d. " % (i), end='')
  38       for g in range(num_groups):
  39         j = i * num_groups + g
  40         home_team = self.Value(self.__home_teams[j])
  41         away_team = self.Value(self.__away_teams[j])
  42         matchnum = self.Value(self.__matchnums[j])
  43
  44         if g == 0:
  45           num_times_on_stream[home_team] = num_times_on_stream[home_team] + 1
  46           num_times_on_stream[away_team] = num_times_on_stream[away_team] + 1
  47
  48         tiredness = 0
  49         if recently_played_2[home_team]:
  50           tiredness = tiredness + 1
  51           num_times_tired[home_team] = num_times_tired[home_team] + 1
  52           if recently_played_0[home_team]:
  53             tiredness = tiredness + 100
  54         if recently_played_2[away_team]:
  55           tiredness = tiredness + 1
  56           num_times_tired[away_team] = num_times_tired[away_team] + 1
  57           if recently_played_0[away_team]:
  58             tiredness = tiredness + 100
  59         recently_played_4[home_team] = True
  60         recently_played_4[away_team] = True
  61
  62         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='')
  63       print()
  64       recently_played_0 = recently_played_1
  65       recently_played_1 = recently_played_2
  66       recently_played_2 = recently_played_3
  67       recently_played_3 = recently_played_4
  68     print()
  69     print("Number of times on stream: ", end='')
  70     print(", ".join(["%s %d" % (team_name(team_idx), num_times_on_stream[team_idx]) for team_idx in range(num_teams)]))
  71     print("Number of times tired: ", end='')
  72     print(", ".join(["%s %d" % (team_name(team_idx), num_times_tired[team_idx]) for team_idx in range(num_teams)]))
  73     print("Stream opponents for non-top-teams:")
  74     for team_idx in (2, 3, 4, 5, 8, 9, 10, 11):
  75       opp = []
  76       for i in range(num_matches // num_groups):
  77         home_team = self.Value(self.__home_teams[i * 2])
  78         away_team = self.Value(self.__away_teams[i * 2])
  79         mark = ""
  80         if abs(home_team - away_team) == 1:
  81           mark = "*"
  82         if team_idx == home_team:
  83           opp.append(team_name(away_team) + mark)
  84         if team_idx == away_team:
  85           opp.append(team_name(home_team) + mark)
  86       print("  %s: %s" % (team_name(team_idx), ", ".join(sorted(opp))))
  87
  88
  89 def excitedness_weight(match_idx):
  90   field = match_idx % num_groups
  91   match_order = match_idx // num_groups
  92   if field == 0:
  93     return match_order + 5
  94   else:
  95     return match_order
  96
  97 def team_name(team_idx):
  98   if team_idx < num_teams_per_group:
  99     return "A%d" % (team_idx)
 100   else:
 101     return "B%d" % (team_idx - num_teams_per_group)
 102
 103 model = cp_model.CpModel()
 104
 105 # Create match variables.
 106 matchnums = []
 107 for match_idx in range(num_matches):
 108   matchnums.append(model.NewIntVar(0, num_matches - 1, "matchnum(%i)" % (match_idx)))
 109 model.AddAllDifferent(matchnums)
 110
 111 # Create list of matches.
 112 match_idx = 0
 113 excitedness = []
 114 home_teams_for_match_num = []
 115 away_teams_for_match_num = []
 116 for group in range(num_groups):
 117   for team_idx_1 in range(num_teams_per_group):
 118     for team_idx_2 in range(num_teams_per_group):
 119       if team_idx_2 > team_idx_1:
 120         real_team_idx_1 = team_idx_1 + num_teams_per_group * group
 121         real_team_idx_2 = team_idx_2 + num_teams_per_group * group
 122         home_teams_for_match_num.append(real_team_idx_1)
 123         away_teams_for_match_num.append(real_team_idx_2)
 124         if team_idx_2 - team_idx_1 == 1:
 125           excitedness.append(5)
 126         elif team_idx_2 - team_idx_1 == 2:
 127           excitedness.append(2)
 128         else:
 129           excitedness.append(0)
 130         print("matchnum %2d: %2d vs. %2d, excited: %d" % (match_idx, real_team_idx_1, real_team_idx_2, excitedness[match_idx]))
 131         match_idx = match_idx + 1
 132
 133 # Create match variables.
 134 home_teams = []
 135 away_teams = []
 136 for match_idx in range(num_matches):
 137   home_teams.append(model.NewIntVar(0, num_teams - 1, "home_team_match%i" % (match_idx)))
 138   away_teams.append(model.NewIntVar(0, num_teams - 1, "away_team_match%i" % (match_idx)))
 139 matches_flat = home_teams + away_teams
 140
 141 for match_idx in range(num_matches):
 142   model.AddElement(matchnums[match_idx], home_teams_for_match_num, home_teams[match_idx])
 143   model.AddElement(matchnums[match_idx], away_teams_for_match_num, away_teams[match_idx])
 144
 145 # Boolean variables
 146 home_team_in_match_x_is_y = [[
 147       model.NewBoolVar('home_team_in_match_%d_is_%d' % (match_idx, team_idx)) for team_idx in range(num_teams)
 148 ] for match_idx in range(num_matches)]
 149
 150 away_team_in_match_x_is_y = [[
 151       model.NewBoolVar('away_team_in_match_%d_is_%d' % (match_idx, team_idx)) for team_idx in range(num_teams)
 152 ] for match_idx in range(num_matches)]
 153
 154 match_x_has_num_y = [[
 155       model.NewBoolVar('match_%d_has_number_%d' % (a, b)) for a in range(num_matches)
 156 ] for b in range(num_matches)]
 157
 158 for match_idx in range(num_matches):
 159   model.AddMapDomain(matchnums[match_idx], match_x_has_num_y[match_idx])
 160   model.AddMapDomain(home_teams[match_idx], home_team_in_match_x_is_y[match_idx])
 161   model.AddMapDomain(away_teams[match_idx], away_team_in_match_x_is_y[match_idx])
 162
 163 # Fields always play opposing groups (FIXME?)
 164 for round_idx in range(num_rounds):
 165   field_0_is_group_0 = model.NewBoolVar('field_0_round_%d_is_group_0' % (round_idx))
 166   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)])
 167   field_1_is_group_0 = model.NewBoolVar('field_1_round_%d_is_group_0' % (round_idx))
 168   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)])
 169   model.AddBoolXOr([field_0_is_group_0, field_1_is_group_0])
 170
 171 # A team can never play on the same field at the same time
 172 #for team_idx in range(num_teams):
 173 #  for round_idx in range(num_rounds):
 174 #    plays_on_field_0 = model.NewBoolVar('plays_on_field0_t%d_r%d' % (team_idx, round_idx))
 175 #    model.AddMaxEquality(plays_on_field_0, [
 176 #        home_team_in_match_x_is_y[round_idx * 2 + 0][team_idx],
 177 #        away_team_in_match_x_is_y[round_idx * 2 + 0][team_idx]])
 178 #    plays_on_field_1 = model.NewBoolVar('plays_on_field1_t%d_r%d' % (team_idx, round_idx))
 179 #    model.AddMaxEquality(plays_on_field_1, [
 180 #        home_team_in_match_x_is_y[round_idx * 2 + 1][team_idx],
 181 #        away_team_in_match_x_is_y[round_idx * 2 + 1][team_idx]])
 182 #    model.AddBoolOr([plays_on_field_0.Not(), plays_on_field_1.Not()])
 183
 184 plays_in_round = {}
 185 for team_idx in range(num_teams):
 186   plays_in_round[team_idx] = {}
 187   for round_idx in range(num_rounds):
 188     plays_in_round[team_idx][round_idx] = model.NewBoolVar('plays_in_round_t%d_r%d' % (team_idx, round_idx))
 189     model.AddMaxEquality(plays_in_round[team_idx][round_idx], [
 190         home_team_in_match_x_is_y[round_idx * 2 + 0][team_idx],
 191         home_team_in_match_x_is_y[round_idx * 2 + 1][team_idx],
 192         away_team_in_match_x_is_y[round_idx * 2 + 0][team_idx],
 193         away_team_in_match_x_is_y[round_idx * 2 + 1][team_idx]])
 194
 195 # A team can never play two matches in a row
 196 for round_idx in range(num_rounds - 1):
 197   for team_idx in range(num_teams):
 198     model.AddBoolOr([plays_in_round[team_idx][round_idx].Not(), plays_in_round[team_idx][round_idx + 1].Not()])
 199
 200 # Also, double-tired is not cool
 201 #for round_idx in range(num_rounds - 4):
 202 #  for team_idx in range(num_teams):
 203 #    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()])
 204 #
 205 # More waiting time is good
 206 #tired_matches = []
 207 #for round_idx in range(num_rounds - 2):
 208 #  for team_idx in range(num_teams):
 209 #    tired = model.NewBoolVar('team_%d_is_tired_in_round_%d' % (team_idx, round_idx))
 210 #    model.AddMinEquality(tired, [plays_in_round[team_idx][round_idx], plays_in_round[team_idx][round_idx + 2]])
 211 #    tired_matches.append(tired)
 212 #sum_tiredness = sum(tired_matches)
 213
 214 # Each team gets play-rest-play exactly once, for fairness
 215 for team_idx in range(num_teams):
 216   tired_matches = []
 217   for round_idx in range(num_rounds - 2):
 218     tired = model.NewBoolVar('team_%d_is_tired_in_round_%d' % (team_idx, round_idx))
 219     model.AddMinEquality(tired, [plays_in_round[team_idx][round_idx], plays_in_round[team_idx][round_idx + 2]])
 220     tired_matches.append(tired)
 221   model.Add(sum(tired_matches) <= 1)
 222 sum_tiredness = 0
 223
 224 # TFK can not play the first two matches
 225 model.AddBoolAnd([plays_in_round[0][0].Not(), plays_in_round[0][1].Not()])
 226
 227 # Group finals come last, and on the stream field.
 228 model.AddBoolOr([match_x_has_num_y[num_matches - 2][0], match_x_has_num_y[num_matches - 2][num_rounds]])
 229 model.AddBoolOr([match_x_has_num_y[num_matches - 4][0], match_x_has_num_y[num_matches - 4][num_rounds]])
 230
 231 # Count how many times each team has been on stream.
 232 stream_penalties = []
 233 for team_idx in range(num_teams):
 234   playing_on_stream = []
 235   for round_idx in range(num_rounds):
 236     s = model.NewBoolVar('team_%d_plays_on_stream_in_round_%d' % (team_idx, round_idx))
 237     model.AddMaxEquality(s, [
 238         home_team_in_match_x_is_y[round_idx * 2 + 0][team_idx],
 239         away_team_in_match_x_is_y[round_idx * 2 + 0][team_idx]])
 240     playing_on_stream.append(s)
 241   times_on_stream_this_team = sum(playing_on_stream)
 242   model.Add(times_on_stream_this_team >= 1)
 243
 244   times_stream_var = model.NewIntVar(0, num_teams_per_group, "team_%d_stream_count" % (team_idx))
 245   model.Add(times_stream_var == times_on_stream_this_team)
 246   #model.Add(times_on_stream_this_team <= 4)
 247
 248   is_n_times_on_stream = [
 249     model.NewBoolVar('team_%d_is_%d_times_on_stream' % (team_idx, i)) for i in range(num_teams_per_group)
 250   ]
 251   model.AddMapDomain(times_stream_var, is_n_times_on_stream)
 252   stream_penalties.append(is_n_times_on_stream[1] * -50)
 253   stream_penalties.append(is_n_times_on_stream[4] * -10)
 254   stream_penalties.append(is_n_times_on_stream[5] * -50)
 255
 256 # Make sure each team has at least one exciting match on stream.
 257 #for team_idx in range(team_idx):
 258 #  stream_matches_for_this_team = []
 259 #  for round_idx in range(num_rounds):
 260 #    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))
 261 #    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))
 262
 263 # Put the more exciting games later, and on stream fields
 264 excitement = []
 265 for round_idx in range(num_rounds):
 266   for match_idx in range(match_idx):
 267     excitement.append(match_x_has_num_y[round_idx * 2 + 0][match_idx] * excitedness[match_idx] * excitedness_weight(round_idx * 2 + 0))
 268     excitement.append(match_x_has_num_y[round_idx * 2 + 1][match_idx] * excitedness[match_idx] * excitedness_weight(round_idx * 2 + 1))
 269 sum_excitement = sum(excitement)
 270 objective = sum_excitement - 30 * sum_tiredness + 3 * sum(stream_penalties)
 271 model.Maximize(objective)
 272
 273 solver = cp_model.CpSolver()
 274 solution_printer = SolutionPrinterWithObjective(home_teams, away_teams, matchnums, objective)
 275 status = solver.SolveWithSolutionCallback(model, solution_printer)