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Increase readability

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nathen 2024-01-14 20:20:28 -05:00
parent aa8b9cd914
commit ad818a492c
1 changed files with 40 additions and 37 deletions
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77
osu.Game.Rulesets.Mania/Difficulty/ManiaPerformanceCalculator.cs
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@ -20,6 +20,10 @@ namespace osu.Game.Rulesets.Mania.Difficulty
private const double tail_multiplier = 1.5; // Lazer LN tails have 1.5x the hit window of a Note or an LN head.
private const double tail_deviation_multiplier = 1.8; // Empirical testing shows that players get ~1.8x the deviation on tails.
// Multipliers for legacy LN hit windows. These are made slightly more lenient for some reason.
private const double legacy_max_multiplier = 1.2;
private const double legacy_300_multiplier = 1.1;
private int countPerfect;
private int countGreat;
private int countGood;
@ -93,10 +97,10 @@ namespace osu.Game.Rulesets.Mania.Difficulty
// We increased the deviation of tails for estimation accuracy, but for difficulty scaling we actually
// only care about the deviation on notes and heads, as that's the "accuracy skill" of the player.
// Increasing the tail multiplier will decrease this value.
double noteHeadUr = estimatedUr.Value / Math.Sqrt(noteHeadPortion + tailPortion * Math.Pow(tail_deviation_multiplier, 2));
// Increasing the tail multiplier will decrease this value, buffing plays with more LNs.
double noteUnstableRate = estimatedUr.Value / Math.Sqrt(noteHeadPortion + tailPortion * Math.Pow(tail_deviation_multiplier, 2));
difficultyValue *= Math.Max(1 - Math.Pow(noteHeadUr / 500, 1.9), 0);
difficultyValue *= Math.Max(1 - Math.Pow(noteUnstableRate / 500, 1.9), 0);
return difficultyValue;
}
@ -108,7 +112,7 @@ namespace osu.Game.Rulesets.Mania.Difficulty
/// Returns the estimated unstable rate of the score, assuming the average hit location is in the center of the hit window.
/// <exception cref="MathNet.Numerics.Optimization.MaximumIterationsException">
/// Thrown when the optimization algorithm fails to converge.
/// This happens only on extreme cases. We tested up to 100 Million misses, the algorithm converges with default settings.
/// This will never happen in any sane (humanly achievable) case. When tested up to 100 Million misses, the algorithm converges with default settings.
/// </exception>
/// <returns>
/// Returns Estimated UR, or null if the score is a miss-only score.
@ -119,10 +123,6 @@ namespace osu.Game.Rulesets.Mania.Difficulty
if (totalSuccessfulJudgements == 0 || noteCount + holdNoteCount == 0)
return null;
// Lazer LN heads are the same as Notes, so return NoteCount + HoldNoteCount for lazer scores.
double logNoteCount = Math.Log(isLegacyScore ? noteCount : noteCount + holdNoteCount);
double logHoldCount = Math.Log(holdNoteCount);
double noteHeadPortion = (double)(noteCount + holdNoteCount) / (noteCount + holdNoteCount * 2);
double tailPortion = (double)holdNoteCount / (noteCount + holdNoteCount * 2);
@ -135,11 +135,11 @@ namespace osu.Game.Rulesets.Mania.Difficulty
double dNote = d / Math.Sqrt(noteHeadPortion + tailPortion * Math.Pow(tail_deviation_multiplier, 2));
double dTail = dNote * tail_deviation_multiplier;
JudgementProbs pNotes = logPNote(dNote);
JudgementProbs pNotes = logJudgementProbsNote(dNote);
// Since lazer tails have the same hit behaviour as Notes, return pNote instead of pHold for them.
JudgementProbs pHolds = isLegacyScore ? legacyLogPHold(dNote, dTail) : logPNote(dTail, tail_multiplier);
JudgementProbs pHolds = isLegacyScore ? logJudgementProbsLegacyHold(dNote, dTail) : logJudgementProbsNote(dTail, tail_multiplier);
return -totalProb(pNotes, pHolds, logNoteCount, logHoldCount);
return -calculateLikelihoodOfDeviation(pNotes, pHolds, noteCount, holdNoteCount);
}
// Finding the minimum of the function returns the most likely deviation for the hit results. UR is deviation * 10.
@ -218,16 +218,16 @@ namespace osu.Game.Rulesets.Mania.Difficulty
// Log Judgement Probabilities of a Note given a deviation.
// The multiplier is for lazer LN tails, which are 1.5x as lenient.
private JudgementProbs logPNote(double d, double multiplier = 1)
private JudgementProbs logJudgementProbsNote(double d, double multiplier = 1)
{
JudgementProbs probabilities = new JudgementProbs
{
PMax = logDiff(0, logPcNote(hitWindows[0] * multiplier, d)),
P300 = logDiff(logPcNote(hitWindows[0] * multiplier, d), logPcNote(hitWindows[1] * multiplier, d)),
P200 = logDiff(logPcNote(hitWindows[1] * multiplier, d), logPcNote(hitWindows[2] * multiplier, d)),
P100 = logDiff(logPcNote(hitWindows[2] * multiplier, d), logPcNote(hitWindows[3] * multiplier, d)),
P50 = logDiff(logPcNote(hitWindows[3] * multiplier, d), logPcNote(hitWindows[4] * multiplier, d)),
P0 = logPcNote(hitWindows[4] * multiplier, d)
PMax = logDiff(0, logCompProbHitNote(hitWindows[0] * multiplier, d)),
P300 = logDiff(logCompProbHitNote(hitWindows[0] * multiplier, d), logCompProbHitNote(hitWindows[1] * multiplier, d)),
P200 = logDiff(logCompProbHitNote(hitWindows[1] * multiplier, d), logCompProbHitNote(hitWindows[2] * multiplier, d)),
P100 = logDiff(logCompProbHitNote(hitWindows[2] * multiplier, d), logCompProbHitNote(hitWindows[3] * multiplier, d)),
P50 = logDiff(logCompProbHitNote(hitWindows[3] * multiplier, d), logCompProbHitNote(hitWindows[4] * multiplier, d)),
P0 = logCompProbHitNote(hitWindows[4] * multiplier, d)
};
return probabilities;
@ -235,33 +235,36 @@ namespace osu.Game.Rulesets.Mania.Difficulty
// Log Judgement Probabilities of a Legacy Hold given a deviation.
// This is only used for Legacy Holds, which has a different hit behaviour from Notes and lazer LNs.
private JudgementProbs legacyLogPHold(double dHead, double dTail)
private JudgementProbs logJudgementProbsLegacyHold(double dHead, double dTail)
{
JudgementProbs probabilities = new JudgementProbs
{
PMax = logDiff(0, logPcHold(hitWindows[0] * 1.2, dHead, dTail)),
P300 = logDiff(logPcHold(hitWindows[0] * 1.2, dHead, dTail), logPcHold(hitWindows[1] * 1.1, dHead, dTail)),
P200 = logDiff(logPcHold(hitWindows[1] * 1.1, dHead, dTail), logPcHold(hitWindows[2], dHead, dTail)),
P100 = logDiff(logPcHold(hitWindows[2], dHead, dTail), logPcHold(hitWindows[3], dHead, dTail)),
P50 = logDiff(logPcHold(hitWindows[3], dHead, dTail), logPcHold(hitWindows[4], dHead, dTail)),
P0 = logPcHold(hitWindows[4], dHead, dTail)
PMax = logDiff(0, logCompProbHitLegacyHold(hitWindows[0] * legacy_max_multiplier, dHead, dTail)),
P300 = logDiff(logCompProbHitLegacyHold(hitWindows[0] * legacy_max_multiplier, dHead, dTail), logCompProbHitLegacyHold(hitWindows[1] * legacy_300_multiplier, dHead, dTail)),
P200 = logDiff(logCompProbHitLegacyHold(hitWindows[1] * legacy_300_multiplier, dHead, dTail), logCompProbHitLegacyHold(hitWindows[2], dHead, dTail)),
P100 = logDiff(logCompProbHitLegacyHold(hitWindows[2], dHead, dTail), logCompProbHitLegacyHold(hitWindows[3], dHead, dTail)),
P50 = logDiff(logCompProbHitLegacyHold(hitWindows[3], dHead, dTail), logCompProbHitLegacyHold(hitWindows[4], dHead, dTail)),
P0 = logCompProbHitLegacyHold(hitWindows[4], dHead, dTail)
};
return probabilities;
}
/// <summary>
/// Combines pNotes and pHolds/pTails into a single probability value for each judgement, and compares them to the judgements of the play.
/// Combines the probability of getting each judgement on both note types into a single probability value for each judgement,
/// and compares them to the judgements of the play using a binomial likelihood formula.
/// </summary>
private double totalProb(JudgementProbs firstProbs, JudgementProbs secondProbs, double firstObjectCount, double secondObjectCount)
private double calculateLikelihoodOfDeviation(JudgementProbs noteProbabilities, JudgementProbs lnProbabilities, double noteCount, double lnCount)
{
// firstObjectCount can be either Notes, or Notes + Holds, as stable LN heads don't behave like Notes but lazer LN heads do.
double pMax = logSum(firstProbs.PMax + firstObjectCount, secondProbs.PMax + secondObjectCount) - Math.Log(totalJudgements);
double p300 = logSum(firstProbs.P300 + firstObjectCount, secondProbs.P300 + secondObjectCount) - Math.Log(totalJudgements);
double p200 = logSum(firstProbs.P200 + firstObjectCount, secondProbs.P200 + secondObjectCount) - Math.Log(totalJudgements);
double p100 = logSum(firstProbs.P100 + firstObjectCount, secondProbs.P100 + secondObjectCount) - Math.Log(totalJudgements);
double p50 = logSum(firstProbs.P50 + firstObjectCount, secondProbs.P50 + secondObjectCount) - Math.Log(totalJudgements);
double p0 = logSum(firstProbs.P0 + firstObjectCount, secondProbs.P0 + secondObjectCount) - Math.Log(totalJudgements);
// Lazer mechanics treat the heads of LNs like notes.
double noteProbCount = isLegacyScore ? noteCount : noteCount + lnCount;
double pMax = logSum(noteProbabilities.PMax + Math.Log(noteProbCount), lnProbabilities.PMax + Math.Log(lnCount)) - Math.Log(totalJudgements);
double p300 = logSum(noteProbabilities.P300 + Math.Log(noteProbCount), lnProbabilities.P300 + Math.Log(lnCount)) - Math.Log(totalJudgements);
double p200 = logSum(noteProbabilities.P200 + Math.Log(noteProbCount), lnProbabilities.P200 + Math.Log(lnCount)) - Math.Log(totalJudgements);
double p100 = logSum(noteProbabilities.P100 + Math.Log(noteProbCount), lnProbabilities.P100 + Math.Log(lnCount)) - Math.Log(totalJudgements);
double p50 = logSum(noteProbabilities.P50 + Math.Log(noteProbCount), lnProbabilities.P50 + Math.Log(lnCount)) - Math.Log(totalJudgements);
double p0 = logSum(noteProbabilities.P0 + Math.Log(noteProbCount), lnProbabilities.P0 + Math.Log(lnCount)) - Math.Log(totalJudgements);
double totalProb = Math.Exp(
(countPerfect * pMax
@ -281,7 +284,7 @@ namespace osu.Game.Rulesets.Mania.Difficulty
/// <returns>
/// A value from 0 (log of 1, 0% chance) to negative infinity (log of 0, 100% chance).
/// </returns>
private double logPcNote(double window, double deviation) => logErfc(window / (deviation * Math.Sqrt(2)));
private double logCompProbHitNote(double window, double deviation) => logErfc(window / (deviation * Math.Sqrt(2)));
/// <summary>
/// The log complementary probability of getting a certain judgement with a certain deviation.
@ -290,7 +293,7 @@ namespace osu.Game.Rulesets.Mania.Difficulty
/// <returns>
/// A value from 0 (log of 1, 0% chance) to negative infinity (log of 0, 100% chance).
/// </returns>
private double logPcHold(double window, double headDeviation, double tailDeviation)
private double logCompProbHitLegacyHold(double window, double headDeviation, double tailDeviation)
{
double root2 = Math.Sqrt(2);
@ -329,7 +332,7 @@ namespace osu.Game.Rulesets.Mania.Difficulty
{
double maxVal = Math.Max(firstLog, secondLog);
// Avoid negative infinity - negative infinity (NaN) by checking if the higher value is negative infinity. See comment in logSum.
// Avoid negative infinity - negative infinity (NaN) by checking if the higher value is negative infinity.
if (double.IsNegativeInfinity(maxVal))
{
return maxVal;