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	Fixing failing tests and misc cleanup
This commit is contained in:
		@@ -1,5 +1,7 @@
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<?php namespace Moserware\Skills\Elo;
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use Exception;
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use Moserware\Skills\GameInfo;
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use Moserware\Skills\PairwiseComparison;
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use Moserware\Skills\RankSorter;
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use Moserware\Skills\SkillCalculator;
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@@ -18,7 +20,7 @@ abstract class TwoPlayerEloCalculator extends SkillCalculator
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        $this->_kFactor = $kFactor;
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    }
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    public function calculateNewRatings($gameInfo,
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    public function calculateNewRatings(GameInfo $gameInfo,
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                                        array $teamsOfPlayerToRatings,
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                                        array $teamRanks)
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    {   
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@@ -71,9 +73,9 @@ abstract class TwoPlayerEloCalculator extends SkillCalculator
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    public abstract function getPlayerWinProbability($gameInfo, $playerRating, $opponentRating);
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    public function calculateMatchQuality($gameInfo, array $teamsOfPlayerToRatings)
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    public function calculateMatchQuality(GameInfo $gameInfo, array &$teamsOfPlayerToRatings)
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    {
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        validateTeamCountAndPlayersCountPerTeam($teamsOfPlayerToRatings);
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        $this->validateTeamCountAndPlayersCountPerTeam($teamsOfPlayerToRatings);
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        $team1 = $teamsOfPlayerToRatings[0];
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        $team2 = $teamsOfPlayerToRatings[1];
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@@ -88,7 +90,7 @@ abstract class TwoPlayerEloCalculator extends SkillCalculator
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        // The TrueSkill paper mentions that they used s1 - s2 (rating difference) to
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        // determine match quality. I convert that to a percentage as a delta from 50%
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        // using the cumulative density function of the specific curve being used
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        $deltaFrom50Percent = abs(getPlayerWinProbability($gameInfo, $player1Rating, $player2Rating) - 0.5);
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        $deltaFrom50Percent = abs($this->getPlayerWinProbability($gameInfo, $player1Rating, $player2Rating) - 0.5);
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        return (0.5 - $deltaFrom50Percent) / 0.5;
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    }
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}
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@@ -6,7 +6,7 @@
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 * @author     Jeff Moser <jeff@moserware.com>
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 * @copyright  2010 Jeff Moser 
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 */
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class BasicMatch {
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class BasicMath {
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    /**
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     * Squares the input (x^2 = x * x)
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@@ -21,7 +21,7 @@ class GaussianDistribution
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    {
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        $this->_mean = $mean;
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        $this->_standardDeviation = $standardDeviation;
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        $this->_variance = BasicMatch::square($standardDeviation);
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        $this->_variance = BasicMath::square($standardDeviation);
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        if ($this->_variance != 0) {
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            $this->_precision = 1.0 / $this->_variance;
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@@ -128,7 +128,7 @@ class GaussianDistribution
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        $meanDifference = $left->_mean - $right->_mean;
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        $logSqrt2Pi = log(sqrt(2 * M_PI));
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        return -$logSqrt2Pi - (log($varianceSum) / 2.0) - (BasicMatch::square($meanDifference) / (2.0 * $varianceSum));
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        return -$logSqrt2Pi - (log($varianceSum) / 2.0) - (BasicMath::square($meanDifference) / (2.0 * $varianceSum));
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    }
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    public static function divide(GaussianDistribution $numerator, GaussianDistribution $denominator)
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@@ -149,7 +149,7 @@ class GaussianDistribution
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        $logSqrt2Pi = log(sqrt(2 * M_PI));
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        return log($denominator->_variance) + $logSqrt2Pi - log($varianceDifference) / 2.0 +
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        BasicMatch::square($meanDifference) / (2 * $varianceDifference);
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        BasicMath::square($meanDifference) / (2 * $varianceDifference);
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    }
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    public static function at($x, $mean = 0.0, $standardDeviation = 1.0)
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@@ -160,7 +160,7 @@ class GaussianDistribution
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        //        stdDev * sqrt(2*pi)
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        $multiplier = 1.0 / ($standardDeviation * sqrt(2 * M_PI));
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        $expPart = exp((-1.0 * BasicMatch::square($x - $mean)) / (2 * BasicMatch::square($standardDeviation)));
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        $expPart = exp((-1.0 * BasicMath::square($x - $mean)) / (2 * BasicMath::square($standardDeviation)));
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        $result = $multiplier * $expPart;
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        return $result;
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    }
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@@ -241,7 +241,7 @@ class GaussianDistribution
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        for ($j = 0; $j < 2; $j++) {
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            $err = GaussianDistribution::errorFunctionCumulativeTo($x) - $pp;
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            $x += $err / (1.12837916709551257 * exp(-BasicMatch::square($x)) - $x * $err); // Halley
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            $x += $err / (1.12837916709551257 * exp(-BasicMath::square($x)) - $x * $err); // Halley
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        }
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        return ($p < 1.0) ? $x : -$x;
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@@ -36,4 +36,4 @@ class RatingContainer
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    {
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        return $this->_playerToRating->count();
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    }
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}
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}
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@@ -26,7 +26,7 @@ abstract class SkillCalculator
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     *
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     * @return All the players and their new ratings.
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     */
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    public abstract function calculateNewRatings(GameInfo &$gameInfo,
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    public abstract function calculateNewRatings(GameInfo $gameInfo,
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                                                 array $teamsOfPlayerToRatings,
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                                                 array $teamRanks);
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@@ -37,7 +37,7 @@ abstract class SkillCalculator
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     * @param array $teamsOfPlayerToRatings A mapping of team players and their ratings.
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     * @return The quality of the match between the teams as a percentage (0% = bad, 100% = well matched).
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     */
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    public abstract function calculateMatchQuality(GameInfo &$gameInfo,
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    public abstract function calculateMatchQuality(GameInfo $gameInfo,
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                                                   array &$teamsOfPlayerToRatings);
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    public function isSupported($option)
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@@ -58,7 +58,7 @@ abstract class SkillCalculator
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        $countOfTeams = 0;
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        foreach ($teams as $currentTeam) {
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            if (!$playersPerTeam->isInRange($currentTeam->count())) {
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            if (!$playersPerTeam->isInRange(count($currentTeam))) {
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                throw new Exception("Player count is not in range");
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            }
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            $countOfTeams++;
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@@ -4,7 +4,7 @@ use Moserware\Skills\GameInfo;
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use Moserware\Skills\Guard;
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use Moserware\Skills\ISupportPartialPlay;
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use Moserware\Skills\ISupportPartialUpdate;
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use Moserware\Skills\Numerics\BasicMatch;
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use Moserware\Skills\Numerics\BasicMath;
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use Moserware\Skills\Numerics\DiagonalMatrix;
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use Moserware\Skills\Numerics\Matrix;
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use Moserware\Skills\Numerics\Vector;
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@@ -25,7 +25,7 @@ class FactorGraphTrueSkillCalculator extends SkillCalculator
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        parent::__construct(SkillCalculatorSupportedOptions::PARTIAL_PLAY | SkillCalculatorSupportedOptions::PARTIAL_UPDATE, TeamsRange::atLeast(2), PlayersRange::atLeast(1));
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    }
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    public function calculateNewRatings(GameInfo &$gameInfo,
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    public function calculateNewRatings(GameInfo $gameInfo,
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                                        array $teams,
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                                        array $teamRanks)
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    {
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@@ -43,7 +43,7 @@ class FactorGraphTrueSkillCalculator extends SkillCalculator
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        return $factorGraph->getUpdatedRatings();
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    }
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    public function calculateMatchQuality(GameInfo &$gameInfo,
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    public function calculateMatchQuality(GameInfo $gameInfo,
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                                          array &$teams)
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    {
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        // We need to create the A matrix which is the player team assigments.
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@@ -55,7 +55,7 @@ class FactorGraphTrueSkillCalculator extends SkillCalculator
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        $playerTeamAssignmentsMatrix = $this->createPlayerTeamAssignmentMatrix($teamAssignmentsList, $meanVector->getRowCount());
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        $playerTeamAssignmentsMatrixTranspose = $playerTeamAssignmentsMatrix->getTranspose();
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        $betaSquared = BasicMatch::square($gameInfo->getBeta());
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        $betaSquared = BasicMath::square($gameInfo->getBeta());
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        $start = Matrix::multiply($meanVectorTranspose, $playerTeamAssignmentsMatrix);
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@@ -103,7 +103,7 @@ class FactorGraphTrueSkillCalculator extends SkillCalculator
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        return new DiagonalMatrix(
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            self::getPlayerRatingValues($teamAssignmentsList,
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                function ($rating) {
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                    return BasicMatch::square($rating->getStandardDeviation());
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                    return BasicMath::square($rating->getStandardDeviation());
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                }));
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    }
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@@ -3,7 +3,7 @@
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use Moserware\Skills\Guard;
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use Moserware\Skills\FactorGraphs\Message;
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use Moserware\Skills\FactorGraphs\Variable;
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use Moserware\Skills\Numerics\BasicMatch;
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use Moserware\Skills\Numerics\BasicMath;
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use Moserware\Skills\Numerics\GaussianDistribution;
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/**
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@@ -34,7 +34,7 @@ class GaussianWeightedSumFactor extends GaussianFactor
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        for ($i = 0; $i < $variableWeightsLength; $i++) {
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            $weight = &$variableWeights[$i];
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            $this->_weights[0][$i] = $weight;
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            $this->_weightsSquared[0][$i] = BasicMatch::square($weight);
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            $this->_weightsSquared[0][$i] = BasicMath::square($weight);
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        }
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        $variablesToSumLength = count($variablesToSum);
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@@ -94,7 +94,7 @@ class GaussianWeightedSumFactor extends GaussianFactor
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                $finalWeight = 0;
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            }
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            $currentWeights[$currentDestinationWeightIndex] = $finalWeight;
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            $currentWeightsSquared[$currentDestinationWeightIndex] = BasicMatch::square($finalWeight);
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            $currentWeightsSquared[$currentDestinationWeightIndex] = BasicMath::square($finalWeight);
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            $variableIndices[count($variableWeights)] = 0;
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            $this->_variableIndexOrdersForWeights[] = $variableIndices;
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@@ -1,6 +1,6 @@
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<?php namespace Moserware\Skills\TrueSkill\Layers;
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use Moserware\Skills\Numerics\BasicMatch;
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use Moserware\Skills\Numerics\BasicMath;
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use Moserware\Skills\Rating;
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use Moserware\Skills\FactorGraphs\ScheduleStep;
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use Moserware\Skills\FactorGraphs\Variable;
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@@ -57,8 +57,8 @@ class PlayerPriorValuesToSkillsLayer extends TrueSkillFactorGraphLayer
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    {
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        return new GaussianPriorFactor(
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            $priorRating->getMean(),
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            BasicMatch::square($priorRating->getStandardDeviation()) +
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            BasicMatch::square($this->getParentFactorGraph()->getGameInfo()->getDynamicsFactor()),
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            BasicMath::square($priorRating->getStandardDeviation()) +
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            BasicMath::square($this->getParentFactorGraph()->getGameInfo()->getDynamicsFactor()),
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            $skillsVariable
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        );
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    }
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@@ -2,7 +2,7 @@
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use Moserware\Skills\FactorGraphs\ScheduleStep;
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use Moserware\Skills\FactorGraphs\KeyedVariable;
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use Moserware\Skills\Numerics\BasicMatch;
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use Moserware\Skills\Numerics\BasicMath;
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use Moserware\Skills\TrueSkill\TrueSkillFactorGraph;
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use Moserware\Skills\TrueSkill\Factors\GaussianLikelihoodFactor;
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@@ -37,7 +37,7 @@ class PlayerSkillsToPerformancesLayer extends TrueSkillFactorGraphLayer
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    private function createLikelihood(KeyedVariable &$playerSkill, KeyedVariable &$playerPerformance)
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    {
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        return new GaussianLikelihoodFactor(
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            BasicMatch::square($this->getParentFactorGraph()->getGameInfo()->getBeta()),
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            BasicMath::square($this->getParentFactorGraph()->getGameInfo()->getBeta()),
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            $playerPerformance,
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            $playerSkill
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        );
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@@ -2,7 +2,7 @@
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use Moserware\Skills\GameInfo;
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use Moserware\Skills\Guard;
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use Moserware\Skills\Numerics\BasicMatch;
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use Moserware\Skills\Numerics\BasicMath;
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use Moserware\Skills\PairwiseComparison;
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use Moserware\Skills\RankSorter;
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use Moserware\Skills\Rating;
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@@ -26,7 +26,7 @@ class TwoPlayerTrueSkillCalculator extends SkillCalculator
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        parent::__construct(SkillCalculatorSupportedOptions::NONE, TeamsRange::exactly(2), PlayersRange::exactly(1));
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    }
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    public function calculateNewRatings(GameInfo &$gameInfo,
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    public function calculateNewRatings(GameInfo $gameInfo,
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                                        array $teams,
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                                        array $teamRanks)
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    {
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@@ -74,11 +74,11 @@ class TwoPlayerTrueSkillCalculator extends SkillCalculator
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        );
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        $c = sqrt(
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            BasicMatch::square($selfRating->getStandardDeviation())
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            BasicMath::square($selfRating->getStandardDeviation())
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            +
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            BasicMatch::square($opponentRating->getStandardDeviation())
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            BasicMath::square($opponentRating->getStandardDeviation())
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            +
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            2 * BasicMatch::square($gameInfo->getBeta())
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            2 * BasicMath::square($gameInfo->getBeta())
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        );
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        $winningMean = $selfRating->getMean();
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@@ -112,10 +112,10 @@ class TwoPlayerTrueSkillCalculator extends SkillCalculator
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            $rankMultiplier = 1;
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        }
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        $meanMultiplier = (BasicMatch::square($selfRating->getStandardDeviation()) + BasicMatch::square($gameInfo->getDynamicsFactor()))/$c;
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        $meanMultiplier = (BasicMath::square($selfRating->getStandardDeviation()) + BasicMath::square($gameInfo->getDynamicsFactor()))/$c;
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        $varianceWithDynamics = BasicMatch::square($selfRating->getStandardDeviation()) + BasicMatch::square($gameInfo->getDynamicsFactor());
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        $stdDevMultiplier = $varianceWithDynamics/BasicMatch::square($c);
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        $varianceWithDynamics = BasicMath::square($selfRating->getStandardDeviation()) + BasicMath::square($gameInfo->getDynamicsFactor());
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        $stdDevMultiplier = $varianceWithDynamics/BasicMath::square($c);
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        $newMean = $selfRating->getMean() + ($rankMultiplier*$meanMultiplier*$v);
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        $newStdDev = sqrt($varianceWithDynamics*(1 - $w*$stdDevMultiplier));
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@@ -126,7 +126,7 @@ class TwoPlayerTrueSkillCalculator extends SkillCalculator
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    /**
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     * {@inheritdoc }
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     */
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		||||
    public function calculateMatchQuality(GameInfo &$gameInfo, array &$teams)
 | 
			
		||||
    public function calculateMatchQuality(GameInfo $gameInfo, array &$teams)
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		||||
    {
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        Guard::argumentNotNull($gameInfo, "gameInfo");
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        $this->validateTeamCountAndPlayersCountPerTeam($teams);
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@@ -141,9 +141,9 @@ class TwoPlayerTrueSkillCalculator extends SkillCalculator
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        $player2Rating = $team2Ratings[0];
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        // We just use equation 4.1 found on page 8 of the TrueSkill 2006 paper:
 | 
			
		||||
        $betaSquared = BasicMatch::square($gameInfo->getBeta());
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		||||
        $player1SigmaSquared = BasicMatch::square($player1Rating->getStandardDeviation());
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		||||
        $player2SigmaSquared = BasicMatch::square($player2Rating->getStandardDeviation());
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		||||
        $betaSquared = BasicMath::square($gameInfo->getBeta());
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		||||
        $player1SigmaSquared = BasicMath::square($player1Rating->getStandardDeviation());
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        $player2SigmaSquared = BasicMath::square($player2Rating->getStandardDeviation());
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		||||
 | 
			
		||||
        // This is the square root part of the equation:
 | 
			
		||||
        $sqrtPart =
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@@ -155,7 +155,7 @@ class TwoPlayerTrueSkillCalculator extends SkillCalculator
 | 
			
		||||
        // This is the exponent part of the equation:
 | 
			
		||||
        $expPart =
 | 
			
		||||
            exp(
 | 
			
		||||
                (-1*BasicMatch::square($player1Rating->getMean() - $player2Rating->getMean()))
 | 
			
		||||
                (-1*BasicMath::square($player1Rating->getMean() - $player2Rating->getMean()))
 | 
			
		||||
                /
 | 
			
		||||
                (2*(2*$betaSquared + $player1SigmaSquared + $player2SigmaSquared)));
 | 
			
		||||
 | 
			
		||||
 
 | 
			
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@@ -2,7 +2,7 @@
 | 
			
		||||
 | 
			
		||||
use Moserware\Skills\GameInfo;
 | 
			
		||||
use Moserware\Skills\Guard;
 | 
			
		||||
use Moserware\Skills\Numerics\BasicMatch;
 | 
			
		||||
use Moserware\Skills\Numerics\BasicMath;
 | 
			
		||||
use Moserware\Skills\PairwiseComparison;
 | 
			
		||||
use Moserware\Skills\RankSorter;
 | 
			
		||||
use Moserware\Skills\Rating;
 | 
			
		||||
@@ -27,9 +27,7 @@ class TwoTeamTrueSkillCalculator extends SkillCalculator
 | 
			
		||||
        parent::__construct(SkillCalculatorSupportedOptions::NONE, TeamsRange::exactly(2), PlayersRange::atLeast(1));
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    public function calculateNewRatings(GameInfo &$gameInfo,
 | 
			
		||||
                                        array $teams,
 | 
			
		||||
                                        array $teamRanks)
 | 
			
		||||
    public function calculateNewRatings(GameInfo $gameInfo, array $teams, array $teamRanks)
 | 
			
		||||
    {
 | 
			
		||||
        Guard::argumentNotNull($gameInfo, "gameInfo");
 | 
			
		||||
        $this->validateTeamCountAndPlayersCountPerTeam($teams);
 | 
			
		||||
@@ -69,8 +67,8 @@ class TwoTeamTrueSkillCalculator extends SkillCalculator
 | 
			
		||||
            $gameInfo->getBeta()
 | 
			
		||||
        );
 | 
			
		||||
 | 
			
		||||
        $betaSquared = BasicMatch::square($gameInfo->getBeta());
 | 
			
		||||
        $tauSquared = BasicMatch::square($gameInfo->getDynamicsFactor());
 | 
			
		||||
        $betaSquared = BasicMath::square($gameInfo->getBeta());
 | 
			
		||||
        $tauSquared = BasicMath::square($gameInfo->getDynamicsFactor());
 | 
			
		||||
 | 
			
		||||
        $totalPlayers = $selfTeam->count() + $otherTeam->count();
 | 
			
		||||
 | 
			
		||||
@@ -78,17 +76,17 @@ class TwoTeamTrueSkillCalculator extends SkillCalculator
 | 
			
		||||
            return $currentRating->getMean();
 | 
			
		||||
        };
 | 
			
		||||
 | 
			
		||||
        $selfMeanSum = BasicMatch::sum($selfTeam->getAllRatings(), $meanGetter);
 | 
			
		||||
        $otherTeamMeanSum = BasicMatch::sum($otherTeam->getAllRatings(), $meanGetter);
 | 
			
		||||
        $selfMeanSum = BasicMath::sum($selfTeam->getAllRatings(), $meanGetter);
 | 
			
		||||
        $otherTeamMeanSum = BasicMath::sum($otherTeam->getAllRatings(), $meanGetter);
 | 
			
		||||
 | 
			
		||||
        $varianceGetter = function ($currentRating) {
 | 
			
		||||
            return BasicMatch::square($currentRating->getStandardDeviation());
 | 
			
		||||
            return BasicMath::square($currentRating->getStandardDeviation());
 | 
			
		||||
        };
 | 
			
		||||
 | 
			
		||||
        $c = sqrt(
 | 
			
		||||
            BasicMatch::sum($selfTeam->getAllRatings(), $varianceGetter)
 | 
			
		||||
            BasicMath::sum($selfTeam->getAllRatings(), $varianceGetter)
 | 
			
		||||
            +
 | 
			
		||||
            BasicMatch::sum($otherTeam->getAllRatings(), $varianceGetter)
 | 
			
		||||
            BasicMath::sum($otherTeam->getAllRatings(), $varianceGetter)
 | 
			
		||||
            +
 | 
			
		||||
            $totalPlayers * $betaSquared
 | 
			
		||||
        );
 | 
			
		||||
@@ -126,24 +124,24 @@ class TwoTeamTrueSkillCalculator extends SkillCalculator
 | 
			
		||||
            $localSelfTeamCurrentPlayer = &$selfTeamCurrentPlayer;
 | 
			
		||||
            $previousPlayerRating = $selfTeam->getRating($localSelfTeamCurrentPlayer);
 | 
			
		||||
 | 
			
		||||
            $meanMultiplier = (BasicMatch::square($previousPlayerRating->getStandardDeviation()) + $tauSquared) / $c;
 | 
			
		||||
            $stdDevMultiplier = (BasicMatch::square($previousPlayerRating->getStandardDeviation()) + $tauSquared) / BasicMatch::square($c);
 | 
			
		||||
            $meanMultiplier = (BasicMath::square($previousPlayerRating->getStandardDeviation()) + $tauSquared) / $c;
 | 
			
		||||
            $stdDevMultiplier = (BasicMath::square($previousPlayerRating->getStandardDeviation()) + $tauSquared) / BasicMath::square($c);
 | 
			
		||||
 | 
			
		||||
            $playerMeanDelta = ($rankMultiplier * $meanMultiplier * $v);
 | 
			
		||||
            $newMean = $previousPlayerRating->getMean() + $playerMeanDelta;
 | 
			
		||||
 | 
			
		||||
            $newStdDev =
 | 
			
		||||
                sqrt((BasicMatch::square($previousPlayerRating->getStandardDeviation()) + $tauSquared) * (1 - $w * $stdDevMultiplier));
 | 
			
		||||
            $newStdDev = sqrt(
 | 
			
		||||
                (BasicMath::square($previousPlayerRating->getStandardDeviation()) + $tauSquared) * (1 - $w * $stdDevMultiplier)
 | 
			
		||||
            );
 | 
			
		||||
 | 
			
		||||
            $newPlayerRatings->setRating($localSelfTeamCurrentPlayer, new Rating($newMean, $newStdDev));
 | 
			
		||||
        }
 | 
			
		||||
    }
 | 
			
		||||
 | 
			
		||||
    /**
 | 
			
		||||
     * {@inheritdoc }
 | 
			
		||||
     * {@inheritdoc}
 | 
			
		||||
     */
 | 
			
		||||
    public function calculateMatchQuality(GameInfo &$gameInfo,
 | 
			
		||||
                                          array &$teams)
 | 
			
		||||
    public function calculateMatchQuality(GameInfo $gameInfo, array &$teams)
 | 
			
		||||
    {
 | 
			
		||||
        Guard::argumentNotNull($gameInfo, "gameInfo");
 | 
			
		||||
        $this->validateTeamCountAndPlayersCountPerTeam($teams);
 | 
			
		||||
@@ -157,21 +155,21 @@ class TwoTeamTrueSkillCalculator extends SkillCalculator
 | 
			
		||||
 | 
			
		||||
        $totalPlayers = $team1Count + $team2Count;
 | 
			
		||||
 | 
			
		||||
        $betaSquared = BasicMatch::square($gameInfo->getBeta());
 | 
			
		||||
        $betaSquared = BasicMath::square($gameInfo->getBeta());
 | 
			
		||||
 | 
			
		||||
        $meanGetter = function ($currentRating) {
 | 
			
		||||
            return $currentRating->getMean();
 | 
			
		||||
        };
 | 
			
		||||
 | 
			
		||||
        $varianceGetter = function ($currentRating) {
 | 
			
		||||
            return BasicMatch::square($currentRating->getStandardDeviation());
 | 
			
		||||
            return BasicMath::square($currentRating->getStandardDeviation());
 | 
			
		||||
        };
 | 
			
		||||
 | 
			
		||||
        $team1MeanSum = BasicMatch::sum($team1Ratings, $meanGetter);
 | 
			
		||||
        $team1StdDevSquared = BasicMatch::sum($team1Ratings, $varianceGetter);
 | 
			
		||||
        $team1MeanSum = BasicMath::sum($team1Ratings, $meanGetter);
 | 
			
		||||
        $team1StdDevSquared = BasicMath::sum($team1Ratings, $varianceGetter);
 | 
			
		||||
 | 
			
		||||
        $team2MeanSum = BasicMatch::sum($team2Ratings, $meanGetter);
 | 
			
		||||
        $team2SigmaSquared = BasicMatch::sum($team2Ratings, $varianceGetter);
 | 
			
		||||
        $team2MeanSum = BasicMath::sum($team2Ratings, $meanGetter);
 | 
			
		||||
        $team2SigmaSquared = BasicMath::sum($team2Ratings, $varianceGetter);
 | 
			
		||||
 | 
			
		||||
        // This comes from equation 4.1 in the TrueSkill paper on page 8
 | 
			
		||||
        // The equation was broken up into the part under the square root sign and
 | 
			
		||||
@@ -184,7 +182,7 @@ class TwoTeamTrueSkillCalculator extends SkillCalculator
 | 
			
		||||
        );
 | 
			
		||||
 | 
			
		||||
        $expPart = exp(
 | 
			
		||||
            (-1 * BasicMatch::square($team1MeanSum - $team2MeanSum))
 | 
			
		||||
            (-1 * BasicMath::square($team1MeanSum - $team2MeanSum))
 | 
			
		||||
            /
 | 
			
		||||
            (2 * ($totalPlayers * $betaSquared + $team1StdDevSquared + $team2SigmaSquared))
 | 
			
		||||
        );
 | 
			
		||||
 
 | 
			
		||||
		Reference in New Issue
	
	Block a user