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Reformat everything to be simpler
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@ -12,7 +12,6 @@ using osu.Game.Rulesets.Scoring;
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using osu.Game.Rulesets.Taiko.Objects;
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using osu.Game.Scoring;
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using MathNet.Numerics;
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using MathNet.Numerics.RootFinding;
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using osu.Framework.Audio.Track;
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using osu.Framework.Extensions.IEnumerableExtensions;
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@ -24,7 +23,7 @@ namespace osu.Game.Rulesets.Taiko.Difficulty
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private int countOk;
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private int countMeh;
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private int countMiss;
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private double? estimatedDeviation;
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private double? estimatedUr;
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private double effectiveMissCount;
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@ -41,7 +40,7 @@ namespace osu.Game.Rulesets.Taiko.Difficulty
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countOk = score.Statistics.GetValueOrDefault(HitResult.Ok);
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countMeh = score.Statistics.GetValueOrDefault(HitResult.Meh);
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countMiss = score.Statistics.GetValueOrDefault(HitResult.Miss);
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estimatedDeviation = computeEstimatedDeviation(score, taikoAttributes);
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estimatedUr = computeEstimatedUr(score, taikoAttributes);
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// The effectiveMissCount is calculated by gaining a ratio for totalSuccessfulHits and increasing the miss penalty for shorter object counts lower than 1000.
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if (totalSuccessfulHits > 0)
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@ -71,7 +70,7 @@ namespace osu.Game.Rulesets.Taiko.Difficulty
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Difficulty = difficultyValue,
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Accuracy = accuracyValue,
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EffectiveMissCount = effectiveMissCount,
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EstimatedUr = estimatedDeviation * 10,
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EstimatedUr = estimatedUr,
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Total = totalValue
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};
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}
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@ -97,18 +96,18 @@ namespace osu.Game.Rulesets.Taiko.Difficulty
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if (score.Mods.Any(m => m is ModFlashlight<TaikoHitObject>))
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difficultyValue *= 1.050 * lengthBonus;
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if (estimatedDeviation == null)
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if (estimatedUr == null)
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return 0;
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return difficultyValue * Math.Pow(SpecialFunctions.Erf(40 / (Math.Sqrt(2) * estimatedDeviation.Value)), 2.0);
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return difficultyValue * Math.Pow(SpecialFunctions.Erf(400 / (Math.Sqrt(2) * estimatedUr.Value)), 2.0);
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}
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private double computeAccuracyValue(ScoreInfo score, TaikoDifficultyAttributes attributes, bool isConvert)
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{
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if (attributes.GreatHitWindow <= 0 || estimatedDeviation == null)
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if (attributes.GreatHitWindow <= 0 || estimatedUr == null)
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return 0;
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double accuracyValue = Math.Pow(7.5 / estimatedDeviation.Value, 1.1) * Math.Pow(attributes.StarRating / 2.7, 0.8) * 100.0;
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double accuracyValue = Math.Pow(75 / estimatedUr.Value, 1.1) * Math.Pow(attributes.StarRating / 2.7, 0.8) * 100.0;
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double lengthBonus = Math.Min(1.15, Math.Pow(totalHits / 1500.0, 0.3));
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@ -124,7 +123,7 @@ namespace osu.Game.Rulesets.Taiko.Difficulty
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/// assuming the player's mean hit error is 0. The estimation is consistent in that two SS scores on the same map with the same settings
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/// will always return the same deviation. See: https://www.desmos.com/calculator/qlr946netu
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/// </summary>
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private double? computeEstimatedDeviation(ScoreInfo score, TaikoDifficultyAttributes attributes)
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private double? computeEstimatedUr(ScoreInfo score, TaikoDifficultyAttributes attributes)
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{
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if (totalSuccessfulHits == 0 || attributes.GreatHitWindow == 0)
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return null;
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@ -135,52 +134,55 @@ namespace osu.Game.Rulesets.Taiko.Difficulty
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double clockRate = track.Rate;
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double overallDifficulty = (50 - attributes.GreatHitWindow * clockRate) / 3;
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double goodHitWindow;
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if (overallDifficulty <= 5)
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goodHitWindow = (120 - 8 * overallDifficulty) / clockRate;
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else
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goodHitWindow = (80 - 6 * (overallDifficulty - 5)) / clockRate;
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double h300 = attributes.GreatHitWindow;
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double h100 = overallDifficulty <= 5 ? (120 - 8 * overallDifficulty) / clockRate : (80 - 6 * (overallDifficulty - 5)) / clockRate;
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double root2 = Math.Sqrt(2);
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// Log of the most likely deviation resulting in the score's hit judgements, differentiated such that 1 over the most likely deviation returns 0.
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double logLikelihoodGradient(double d)
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// Returns the likelihood of a deviation resulting in the score's hit judgements. The peak of the curve is the most likely deviation.
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double likelihoodGradient(double d)
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{
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if (d <= 0)
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return 1;
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return 0;
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double p300 = SpecialFunctions.Erf(attributes.GreatHitWindow / root2 * d);
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double lnP300 = lnErfcApprox(attributes.GreatHitWindow / root2 * d);
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double lnP100 = lnErfcApprox(goodHitWindow / root2 * d);
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double p300 = logDiff(0, logPcHit(h300, d));
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double p100 = logDiff(logPcHit(h300, d), logPcHit(h100, d));
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double p0 = logPcHit(h100, d);
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double t1 = countGreat * (Math.Exp(Math.Log(attributes.GreatHitWindow) + -Math.Pow(attributes.GreatHitWindow / root2 * d, 2)) / p300);
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double gradient = Math.Exp(
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(countGreat * p300
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+ (countOk + 0.5) * p100
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+ countMiss * p0) / totalHits
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);
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double t2A = Math.Exp(Math.Log(goodHitWindow) + -Math.Pow(goodHitWindow / root2 * d, 2) - logDiff(lnP300, lnP100));
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double t2B = Math.Exp(Math.Log(attributes.GreatHitWindow) + -Math.Pow(attributes.GreatHitWindow / root2 * d, 2) - logDiff(lnP300, lnP100));
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double t2 = (countOk + 1) * (t2A - t2B);
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double t3 = countMiss * Math.Exp(Math.Log(goodHitWindow) + -Math.Pow(goodHitWindow / root2 * d, 2) - lnP100);
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return t1 + t2 - t3;
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return -gradient;
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}
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double root = Brent.FindRootExpand(logLikelihoodGradient, 0.02, 0.3);
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double deviation = FindMinimum.OfScalarFunction(likelihoodGradient, 30);
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return 1 / root;
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return deviation * 10;
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}
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private int totalHits => countGreat + countOk + countMeh + countMiss;
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private int totalSuccessfulHits => countGreat + countOk + countMeh;
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private double lnErfcApprox(double x)
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private double logPcHit(double x, double deviation) => logErfcApprox(x / (deviation * Math.Sqrt(2)));
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// There is a numerical approximation to increase how far you can calculate Erfc(x).
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private double logErfcApprox(double x) => x <= 5 ? Math.Log(SpecialFunctions.Erfc(x)) : -Math.Pow(x, 2) - Math.Log(x) - Math.Log(Math.Sqrt(Math.PI));
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// Log rules make subtraction of the non-log value non-trivial, this method simply subtracts the base value of 2 logs.
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private double logDiff(double firstLog, double secondLog)
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{
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if (x <= 5)
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return Math.Log(SpecialFunctions.Erfc(x));
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double maxVal = Math.Max(firstLog, secondLog);
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return -Math.Pow(x, 2) - Math.Log(x) - Math.Log(Math.Sqrt(Math.PI));
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// Avoid negative infinity - negative infinity (NaN) by checking if the higher value is negative infinity.
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// Shouldn't ever happen, but good for redundancy purposes.
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if (double.IsNegativeInfinity(maxVal))
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{
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return maxVal;
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}
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return firstLog + SpecialFunctions.Log1p(-Math.Exp(-(firstLog - secondLog)));
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}
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private double logDiff(double l1, double l2) => l1 + SpecialFunctions.Log1p(-Math.Exp(-(l1 - l2)));
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}
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}
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