Implemented Nominal Turn Counting

- This ensures that every player gets atleast T|T-1 turns per round.
- Comments out drawone stuff for simplicity for now
- Does not consider double cards either

awards.mzn

@@ -17,7 +17,7 @@ constraint forall(a in Artists) ( sum(col(awards_per_round_per_artist,a)) = 1 );
 
 % awards can only be given if an artist's card was played that turn
 constraint forall(r in Rounds, a in Artists) (
-  awards_per_round_per_artist[r,a] -> cards_per_artist_per_round[r,a] > 0
+  awards_per_round_per_artist[r,a] -> CardsForArtist[r,a] > 0
 );
 
 % Set award_bonus_per_round_per_artist = array[5] with bonus that can be added to ranking scores

dealing.mzn

@@ -0,0 +1,27 @@
+% This file deals with dealing of new cards every Round
+
+% Usable variable from here is CardsDealtPerRound[Rounds]
+array[Rounds] of var int: CardsDealtPerRound;
+
+constraint CardsDealtPerRound[Round1] = 13;
+constraint CardsDealtPerRound[Round2] = 
+  if card(Players) < 4 then 
+    6 
+  else if card(Players) = 4 then 
+    4
+  else 
+    2
+  endif
+endif;
+
+constraint CardsDealtPerRound[Round3] = 
+  if card(Players) < 4 then 
+    6 
+  else if card(Players) = 4 then 
+    4
+  else 
+    2
+  endif
+endif;
+
+constraint CardsDealtPerRound[Round4] = if card(Players) = 2 then 3 else 0 endif;

double.mzn

@@ -0,0 +1,34 @@
+% DOUBLE CARDS
+% - Double cards are counted as VISIBLE
+% - Double cards CANNOT breach the 6 LIMIT
+% Total number of DOUBLE CARDS for each artist = 1
+% FOR EVERY ROUND+ARTIST combination, only 1 player should have played a double card
+% TODO: Check if this is still correct after a second round
+
+% Whether you played a double this round
+array[Rounds,Players,Artists] of var bool: double_played;
+
+
+constraint forall(a in Artists) (
+  sum(p in Players, r in Rounds) (double_played[r,p,a])  = 1
+);
+
+% What is the extra cards you can possibly play
+array[Rounds,Players,Artists] of var bool: bonus_due_to_double_cards;
+
+constraint forall(a in Artists, r in Rounds, p in Players) (
+  % If this player played more than 2 cards of this artist
+  if visible_count_per_round_per_artist_per_player[r,p,a] >=2
+  % And this artist is the winning artist this round
+     /\ row(sorted_artists_per_round,r)[1] = a
+  % And you closed this round
+     /\ visible_count_per_round_per_artist_per_player[r,p,a] = max_visible_cards
+  % and they are claiming their double now
+     /\ double_played[r,p,a] then
+    bonus_due_to_double_cards[r,p,a] = true
+  else
+    bonus_due_to_double_cards[r,p,a] = false
+  endif
+);
+
+% array[Rounds,Players] of var int: negs_due_to_double_cards;

enumtest.mzn

@@ -0,0 +1,14 @@
+include "globals.mzn";
+% Since the documentation is unclear, wrote this test to figure
+% out whether enums wrap around or not.
+enum Letters;
+Letters= {A,B,C};
+
+var Letters: x;
+var Letters: y;
+var Letters: z;
+
+constraint x = enum_next(Letters, y);
+constraint y = B;
+% This is unsatisfiable, because nothing comes after x=C
+constraint z = enum_next(Letters, x);

gameplay.mzn

@@ -5,6 +5,12 @@ include "ranking.mzn";
 include "scoring.mzn";
 include "sanity.mzn";
 include "artists.mzn";
+include "dealing.mzn";
+% Ignoring these for now
+% include "double.mzn";
+% include "drawone.mzn";
+% include "hidden.mzn";
+% include "simultaneous.mzn";
 
 /*
  This file includes the core gameplay rules
@@ -14,65 +20,103 @@ include "artists.mzn";
 
 % Calculate total cards of an artist played per round
 constraint forall (a in Artists, r in Rounds) (
-  cards_per_artist_per_round[r, a] = sum(p in Players) (visible_count_per_round_per_artist_per_player[r,p,a])
+  CardsForArtist[r, a] = sum(p in Players) (visible_count_per_round_per_artist_per_player[r,p,a])
 );
 
 % Max number of visible cards can be 6 for any artist per player
-var 5..6: max_visible_cards;
+var 5..6: MaxVisibleCards;
-constraint max_visible_cards = if card(Players)>2 then 6 else 5 endif;
+constraint MaxVisibleCards = if card(Players)>2 then 6 else 5 endif;
 
-% Maximum max_visible_cards of the artist with maximum cards
+% Maximum MaxVisibleCards of the artist with maximum cards
-constraint forall(r in Rounds) (max(row(cards_per_artist_per_round,r)) = max_visible_cards);
+constraint forall(r in Rounds) (max(row(CardsForArtist,r)) = MaxVisibleCards);
 
 % second highest value should not be the max
-constraint forall(r in Rounds) (sort(row(cards_per_artist_per_round, r))[4] != max_visible_cards);
+constraint forall(r in Rounds) (sort(row(CardsForArtist, r))[4] != MaxVisibleCards);
 
-% DOUBLE CARDS
+% Temporary variable to see how many cards you've played TOTAL per round
-% - Double cards are counted as VISIBLE
+array[Rounds,Players] of var int: TotalCardsPlayed;
-% - Double cards CANNOT breach the 6 LIMIT
+constraint forall(r in Rounds, p in Players) (
-% Total number of DOUBLE CARDS for each artist = 1
+% TODO: Change this to played cards from VISIBLE (hidden)
-% FOR EVERY ROUND+ARTIST combination, only 1 player should have played a double card
+  TotalCardsPlayed[r,p] = sum(a in Artists) (visible_count_per_round_per_artist_per_player[r,p,a])
-% TODO: Check if this is still correct after a second round
-constraint forall(a in Artists) (
-  sum(p in Players, r in Rounds) (double_played[r,p,a])  = 1
 );
 
-array[Rounds,Players] of var int: max_cards_per_round_per_player;
-
-% What is the extra cards you can possibly play
-array[Rounds,Players,Artists] of var bool: bonus_due_to_double_cards;
-
-constraint forall(a in Artists, r in Rounds, p in Players) (
-  % If this player played more than 2 cards of this artist
-  if visible_count_per_round_per_artist_per_player[r,p,a] >=2
-  % And this artist is the winning artist this round
-     /\ row(sorted_artists_per_round,r)[1] = a
-  % And you closed this round
-     /\ visible_count_per_round_per_artist_per_player[r,p,a] = max_visible_cards
-  % and they are claiming their double now
-     /\ double_played[r,p,a] then
-    bonus_due_to_double_cards[r,p,a] = true
-  else
-    bonus_due_to_double_cards[r,p,a] = false
-  endif
-);
-
-% array[Rounds,Players] of var int: negs_due_to_double_cards;
-
-% constraint forall(r in Rounds, p in Players) (
-  
-% );
-
 % Calculate maximum cards any player can play in first round
-% constraint forall(p in Players) (
+array[Rounds,Players] of var int: StartingCardsInHand;
-%   CardsInHand[Round1,p] = 13
+% Round 1 Starting Hand is 13 cards
-% );
+constraint forall(p in Players) (StartingCardsInHand[Round1,p] = CardsDealtPerRound[Round1]);
-
+constraint forall(p in Players) ( 
-% TODO: This is actual not VISIBLE, but TOTAL cards LIMIT
+  StartingCardsInHand[Round2,p] = StartingCardsInHand[Round1,p] - TotalCardsPlayed[Round1,p]  + CardsDealtPerRound[Round2]
-% TODO: This does not consider any of the symbols
+);
-% IMPLIED RULE: You can max play 13 cards in Round 1
+constraint forall(p in Players) ( 
-constraint forall(p in Players) (
+  StartingCardsInHand[Round3,p] = StartingCardsInHand[Round2,p] - TotalCardsPlayed[Round2,p]  + CardsDealtPerRound[Round3]
-  sum(a in Artists) (
+);
-    visible_count_per_round_per_artist_per_player[Round1,p,a]
+constraint forall(p in Players) ( 
-  ) <= max_cards_per_round_per_player[Round1,p]
+  StartingCardsInHand[Round4,p] = StartingCardsInHand[Round3,p] - TotalCardsPlayed[Round3,p]  + CardsDealtPerRound[Round4]
+);
+
+% TURN ORDER STUFF
+constraint forall(r in Rounds) (
+  NominalTurnCount[r] = TotalCardsPlayed[r, last_player[r]]
+);
+
+%All players who played nominal turns
+var set of Players: Pn1;
+var set of Players: Pn2;
+var set of Players: Pn3;
+var set of Players: Pn4;
+%All players who played sub-nominal turns
+var set of Players: Px1;
+var set of Players: Px2;
+var set of Players: Px3;
+var set of Players: Px4;
+
+set of int: emptySet = 1..0;
+
+constraint Pn1 = if (first_player[Round1] < last_player[Round1]) then
+     first_player[Round1]..last_player[Round1]
+   else    
+     set_diff(Players,first_player[Round1]..last_player[Round1])
+   endif;
+
+
+constraint Pn2 = if (first_player[Round2] < last_player[Round2]) then
+     first_player[Round2]..last_player[Round2]
+   else    
+     set_diff(Players,first_player[Round2]..last_player[Round2])
+   endif;
+
+
+constraint Pn3 = if (first_player[Round3] < last_player[Round3]) then
+     first_player[Round3]..last_player[Round3]
+   else    
+     set_diff(Players,first_player[Round3]..last_player[Round3])
+   endif;
+
+
+constraint Pn4 = if (first_player[Round4] < last_player[Round4]) then
+     first_player[Round4]..last_player[Round4]
+   else    
+     set_diff(Players,first_player[Round4]..last_player[Round4])
+   endif;
+   
+constraint Px1 = set_diff(Players,Pn1);
+constraint Px2 = set_diff(Players,Pn2);
+constraint Px3 = set_diff(Players,Pn3);
+constraint Px4 = set_diff(Players,Pn4);
+
+constraint forall(p in Players) (p in Pn1 -> TotalCardsPlayed[Round1, p] = NominalTurnCount[Round1]);
+constraint forall(p in Players) (p in Pn2 -> TotalCardsPlayed[Round2, p] = NominalTurnCount[Round2]);
+constraint forall(p in Players) (p in Pn3 -> TotalCardsPlayed[Round3, p] = NominalTurnCount[Round3]);
+constraint forall(p in Players) (p in Pn3 -> TotalCardsPlayed[Round4, p] = NominalTurnCount[Round4]);
+
+constraint forall(p in Players) (p in Px1 -> TotalCardsPlayed[Round1, p] = NominalTurnCount[Round1] - 1);
+constraint forall(p in Players) (p in Px2 -> TotalCardsPlayed[Round2, p] = NominalTurnCount[Round2] - 1);
+constraint forall(p in Players) (p in Px3 -> TotalCardsPlayed[Round3, p] = NominalTurnCount[Round3] - 1);
+constraint forall(p in Players) (p in Px3 -> TotalCardsPlayed[Round4, p] = NominalTurnCount[Round4] - 1);
+
+% Total Playable Cards for any round are set equal to the Starting Hand
+% TODO: Move this to `drawone`
+array[Rounds,Players] of var int: PlayableCards;
+constraint forall(p in Players, r in Rounds) (
+  PlayableCards[r,p] = StartingCardsInHand[r,p]
 );

modernart.mzn

@@ -3,9 +3,9 @@ enum Players;
 enum Artists;
 enum Rounds;
 
-Players = {Nemo,Jana};
+Players = {Nemo,Jana, Adam};
 Artists = {Krypto,KarlGitter,ChristinP,Yoko,LiteMetal};
-Rounds = {Round1};
+Rounds = {Round1, Round2, Round3, Round4};
 
 % Number of cards per round per player per artist
 array[Rounds,Players,Artists] of var int: visible_count_per_round_per_artist_per_player;
@@ -19,20 +19,16 @@ array[Rounds] of var Players: last_player;
 % Total points that an artist has in a given round
 array[Rounds,Artists] of var int: total_score_per_round_per_artist;
 
-% Whether you played a double this round
-array[Rounds,Players,Artists] of var bool: double_played;
-
 % Score a player gets in each given round
-array[Rounds,Players] of var int: score_per_round_per_player;
+array[Rounds,Players] of var int: RoundScore;
 
 % Final score of a player
-array[Players] of var int: score_per_player;
+array[Players] of var int: Score;
 
 % Total number of a cards of an artist that were PLAYED this round
-array[Rounds, Artists] of var int: cards_per_artist_per_round;
+array[Rounds, Artists] of var int: CardsForArtist;
 
-% Dumb constraints to help maximize score
+% Number of Turns played by the closing player this round
-constraint score_per_round_per_player[Round1,Nemo] > score_per_round_per_player[Round1,Jana];
+array[Rounds] of var int: NominalTurnCount;
-% constraint score_per_round_per_player[Round1,Jana] > 10;
+
-% constraint score_per_round_per_player[Round1,Adam] > 5;
+solve maximize Score[Nemo];
-solve maximize sum(p in Players)(score_per_player[p]);

ranking.mzn

@@ -5,7 +5,7 @@ array[Rounds,Artists] of var int: ranking_score_per_artist_per_round;
 array[Rounds,1..card(Artists)] of var Artists: sorted_artists_per_round;
 
 % Decide the top artists by picking the cards per artist for that round, and sorting them
-constraint forall(r in Rounds)(row(sorted_artists_per_round,r)= reverse(arg_sort(row(cards_per_artist_per_round, r))));
+constraint forall(r in Rounds)(row(sorted_artists_per_round,r)= reverse(arg_sort(row(CardsForArtist, r))));
 
 % Top three artists get ranking score in each round as 3,2,1 others get 0
 constraint forall(r in Rounds) (ranking_score_per_artist_per_round[r, row(sorted_artists_per_round,r)[1]] = 3);

sanity.mzn

@@ -1,6 +1,6 @@
 % Sanity check
 constraint forall (a in Artists, r in Rounds) (
-  cards_per_artist_per_round[r,a]>=0
+  CardsForArtist[r,a]>=0
 );
 % So they don't go negative
 constraint forall (a in Artists, r in Rounds, p in Players) (
@@ -12,10 +12,20 @@ constraint forall (a in Artists, r in Rounds) (
   ranking_score_per_artist_per_round[r,a] >=0
 );
 
+% No game can have less than 1 Nominal Turn (Number of turns played by the Closing Player)
+constraint forall(r in Rounds) (NominalTurnCount[r] >=1);
+
+constraint forall(r in Rounds, p in Players) (
+  StartingCardsInHand[r,p] >=0
+);
+
 % Round 1 Player 1
 constraint first_player[Round1] = Nemo;
 
 % Visible Cards per round per player for every artist > 0
 constraint forall(a in Artists) (
   sum(p in Players, r in Rounds) (visible_count_per_round_per_artist_per_player[r,p,a])>=0
-);
+);
+
+% This is a  2-5 player game
+constraint 2<= assert(card(Players)) <=5

scoring.mzn

@@ -8,14 +8,12 @@ constraint forall(r in Rounds, a in Artists) (
 
 % 1. Per Round
 constraint forall(r in Rounds, p in Players) (
-  score_per_round_per_player[r,p] = 
+  RoundScore[r,p] = sum(a in Artists) (
-  
-  sum(a in Artists) (
     visible_count_per_round_per_artist_per_player[r,p,a] * ranking_score_per_artist_per_round[r,a]
   )
 );
 
 % 2. For the whole game
 constraint forall(p in Players) (
-  score_per_player[p] = sum(r in Rounds) (score_per_round_per_player[r,p])
+  Score[p] = sum(r in Rounds) (RoundScore[r,p])
 );