protected GaussianWeightedSumFactor CreatePlayerToTeamSumFactor(
IList <KeyedVariable <TPlayer, GaussianDistribution> > teamMembers, Variable <GaussianDistribution> sumVariable)
{
return(new GaussianWeightedSumFactor(sumVariable, teamMembers.ToArray(),
teamMembers.Select(v => PartialPlay.GetPartialPlayPercentage(v.Key)).
ToArray()));
}
private static Matrix CreatePlayerTeamAssignmentMatrix <TPlayer>(
IList <IDictionary <TPlayer, Rating> > teamAssignmentsList, int totalPlayers)
{
// The team assignment matrix is often referred to as the "A" matrix. It's a matrix whose rows represent the players
// and the columns represent teams. At Matrix[row, column] represents that player[row] is on team[col]
// Positive values represent an assignment and a negative value means that we subtract the value of the next
// team since we're dealing with pairs. This means that this matrix always has teams - 1 columns.
// The only other tricky thing is that values represent the play percentage.
// For example, consider a 3 team game where team1 is just player1, team 2 is player 2 and player 3, and
// team3 is just player 4. Furthermore, player 2 and player 3 on team 2 played 25% and 75% of the time
// (e.g. partial play), the A matrix would be:
// A = this 4x2 matrix:
// | 1.00 0.00 |
// | -0.25 0.25 |
// | -0.75 0.75 |
// | 0.00 -1.00 |
var playerAssignments = new List <IEnumerable <double> >();
int totalPreviousPlayers = 0;
for (int i = 0; i < teamAssignmentsList.Count - 1; i++)
{
IDictionary <TPlayer, Rating> currentTeam = teamAssignmentsList[i];
// Need to add in 0's for all the previous players, since they're not
// on this team
var currentRowValues = new List <double>(new double[totalPreviousPlayers]);
playerAssignments.Add(currentRowValues);
foreach (var currentRating in currentTeam)
{
currentRowValues.Add(PartialPlay.GetPartialPlayPercentage(currentRating.Key));
// indicates the player is on the team
totalPreviousPlayers++;
}
IDictionary <TPlayer, Rating> nextTeam = teamAssignmentsList[i + 1];
foreach (var nextTeamPlayerPair in nextTeam)
{
// Add a -1 * playing time to represent the difference
currentRowValues.Add(-1 * PartialPlay.GetPartialPlayPercentage(nextTeamPlayerPair.Key));
}
}
var playerTeamAssignmentsMatrix = new Matrix(totalPlayers, teamAssignmentsList.Count - 1, playerAssignments);
return(playerTeamAssignmentsMatrix);
}