public static double GetDrawMarginFromDrawProbability(double drawProbability, double beta)
{
return(GaussianDistribution.InverseCumulativeTo(0.5 * (drawProbability + 1), 0, 1) * Sqrt2 * beta);
}
/// <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)));
}
/// <summary>
/// Get the absolute difference between two distributions.
/// </summary>
/// <param name="left">The left operand.</param>
/// <param name="right">The right operand.</param>
/// <returns></returns>
public static double AbsoluteDifference(GaussianDistribution left, GaussianDistribution right)
{
return(Math.Max(Math.Abs(left.PrecisionMean - right.PrecisionMean), Math.Sqrt(Math.Abs(left.Precision - right.Precision))));
}