]> git.sesse.net Git - ultimatescore/blobdiff - roster/twofields_sat.py
Check in some scripts based on OR-tools to try to generate good group schedules.
[ultimatescore] / roster / twofields_sat.py
diff --git a/roster/twofields_sat.py b/roster/twofields_sat.py
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+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)