public static double VWithinMargin(double teamPerformanceDifference, double drawMargin)
{
double teamPerformanceDifferenceAbsoluteValue = Math.Abs(teamPerformanceDifference);
double denominator =
GaussianDistribution.CumulativeTo(drawMargin - teamPerformanceDifferenceAbsoluteValue) -
GaussianDistribution.CumulativeTo(-drawMargin - teamPerformanceDifferenceAbsoluteValue);
if (denominator < 2.222758749e-162)
{
if (teamPerformanceDifference < 0.0)
{
return(-teamPerformanceDifference - drawMargin);
}
return(-teamPerformanceDifference + drawMargin);
}
double numerator = GaussianDistribution.At(-drawMargin - teamPerformanceDifferenceAbsoluteValue) -
GaussianDistribution.At(drawMargin - teamPerformanceDifferenceAbsoluteValue);
if (teamPerformanceDifference < 0.0)
{
return(-numerator / denominator);
}
return(numerator / denominator);
}
public static double VExceedsMargin(double teamPerformanceDifference, double drawMargin)
{
double denominator = GaussianDistribution.CumulativeTo(teamPerformanceDifference - drawMargin);
if (denominator < 2.222758749e-162)
{
return(-teamPerformanceDifference + drawMargin);
}
return(GaussianDistribution.At(teamPerformanceDifference - drawMargin) / denominator);
}
public static double WWithinMargin(double teamPerformanceDifference, double drawMargin)
{
double teamPerformanceDifferenceAbsoluteValue = Math.Abs(teamPerformanceDifference);
double denominator = GaussianDistribution.CumulativeTo(drawMargin - teamPerformanceDifferenceAbsoluteValue) -
GaussianDistribution.CumulativeTo(-drawMargin - teamPerformanceDifferenceAbsoluteValue);
if (denominator < 2.222758749e-162)
{
return(1.0);
}
double vt = VWithinMargin(teamPerformanceDifferenceAbsoluteValue, drawMargin);
return(vt * vt + ((drawMargin - teamPerformanceDifferenceAbsoluteValue) *
GaussianDistribution.At(drawMargin - teamPerformanceDifferenceAbsoluteValue) -
(-drawMargin - teamPerformanceDifferenceAbsoluteValue) *
GaussianDistribution.At(-drawMargin - teamPerformanceDifferenceAbsoluteValue)) / denominator);
}
public static double WExceedsMargin(double teamPerformanceDifference, double drawMargin)
{
double denominator = GaussianDistribution.CumulativeTo(teamPerformanceDifference - drawMargin);
if (denominator < 2.222758749e-162)
{
if (teamPerformanceDifference < 0.0)
{
return(1.0);
}
return(0.0);
}
double vWin = VExceedsMargin(teamPerformanceDifference, drawMargin);
return(vWin * (vWin + teamPerformanceDifference - drawMargin));
}
/// <summary>
/// Get the player win probability based on the player's ratings.
/// </summary>
/// <param name="gameInfo">The game info we are calculating for.</param>
/// <param name="playerRating">This player's rating.</param>
/// <param name="opponentRating">The opponent's rating.</param>
/// <returns>The chance that this player wins the match.</returns>
protected override double GetPlayerWinProbability(GameInfo gameInfo, double playerRating, double opponentRating)
{
double ratingDifference = playerRating - opponentRating;
return(GaussianDistribution.CumulativeTo(ratingDifference / (Sqrt2 * gameInfo.Beta)));
}
