private double computeFlashlightValue(ScoreInfo score, OsuDifficultyAttributes attributes)
{
if (!score.Mods.Any(h => h is OsuModFlashlight))
{
return(0.0);
}
double rawFlashlight = attributes.FlashlightDifficulty;
if (score.Mods.Any(m => m is OsuModTouchDevice))
{
rawFlashlight = Math.Pow(rawFlashlight, 0.8);
}
double flashlightValue = Math.Pow(rawFlashlight, 2.0) * 25.0;
// Penalize misses by assessing # of misses relative to the total # of objects. Default a 3% reduction for any # of misses.
if (effectiveMissCount > 0)
{
flashlightValue *= 0.97 * Math.Pow(1 - Math.Pow(effectiveMissCount / totalHits, 0.775), Math.Pow(effectiveMissCount, .875));
}
flashlightValue *= getComboScalingFactor(attributes);
// Account for shorter maps having a higher ratio of 0 combo/100 combo flashlight radius.
flashlightValue *= 0.7 + 0.1 * Math.Min(1.0, totalHits / 200.0) +
(totalHits > 200 ? 0.2 * Math.Min(1.0, (totalHits - 200) / 200.0) : 0.0);
// Scale the flashlight value with accuracy _slightly_.
flashlightValue *= 0.5 + accuracy / 2.0;
// It is important to also consider accuracy difficulty when doing that.
flashlightValue *= 0.98 + Math.Pow(attributes.OverallDifficulty, 2) / 2500;
return(flashlightValue);
}
private double computeAccuracyValue(ScoreInfo score, OsuDifficultyAttributes attributes)
{
if (score.Mods.Any(h => h is OsuModRelax))
{
return(0.0);
}
// This percentage only considers HitCircles of any value - in this part of the calculation we focus on hitting the timing hit window.
double betterAccuracyPercentage;
int amountHitObjectsWithAccuracy = attributes.HitCircleCount;
if (amountHitObjectsWithAccuracy > 0)
{
betterAccuracyPercentage = ((countGreat - (totalHits - amountHitObjectsWithAccuracy)) * 6 + countOk * 2 + countMeh) / (double)(amountHitObjectsWithAccuracy * 6);
}
else
{
betterAccuracyPercentage = 0;
}
// It is possible to reach a negative accuracy with this formula. Cap it at zero - zero points.
if (betterAccuracyPercentage < 0)
{
betterAccuracyPercentage = 0;
}
// Lots of arbitrary values from testing.
// Considering to use derivation from perfect accuracy in a probabilistic manner - assume normal distribution.
double accuracyValue = Math.Pow(1.52163, attributes.OverallDifficulty) * Math.Pow(betterAccuracyPercentage, 24) * 2.83;
// Bonus for many hitcircles - it's harder to keep good accuracy up for longer.
accuracyValue *= Math.Min(1.15, Math.Pow(amountHitObjectsWithAccuracy / 1000.0, 0.3));
// Increasing the accuracy value by object count for Blinds isn't ideal, so the minimum buff is given.
if (score.Mods.Any(m => m is OsuModBlinds))
{
accuracyValue *= 1.14;
}
else if (score.Mods.Any(m => m is OsuModHidden))
{
accuracyValue *= 1.08;
}
if (score.Mods.Any(m => m is OsuModFlashlight))
{
accuracyValue *= 1.02;
}
return(accuracyValue);
}
private double computeSpeedValue(ScoreInfo score, OsuDifficultyAttributes attributes)
{
double speedValue = Math.Pow(5.0 * Math.Max(1.0, attributes.SpeedDifficulty / 0.0675) - 4.0, 3.0) / 100000.0;
double lengthBonus = 0.95 + 0.4 * Math.Min(1.0, totalHits / 2000.0) +
(totalHits > 2000 ? Math.Log10(totalHits / 2000.0) * 0.5 : 0.0);
speedValue *= lengthBonus;
// Penalize misses by assessing # of misses relative to the total # of objects. Default a 3% reduction for any # of misses.
if (effectiveMissCount > 0)
{
speedValue *= 0.97 * Math.Pow(1 - Math.Pow(effectiveMissCount / totalHits, 0.775), Math.Pow(effectiveMissCount, .875));
}
speedValue *= getComboScalingFactor(attributes);
double approachRateFactor = 0.0;
if (attributes.ApproachRate > 10.33)
{
approachRateFactor = 0.3 * (attributes.ApproachRate - 10.33);
}
speedValue *= 1.0 + approachRateFactor * lengthBonus; // Buff for longer maps with high AR.
if (score.Mods.Any(m => m is OsuModBlinds))
{
// Increasing the speed value by object count for Blinds isn't ideal, so the minimum buff is given.
speedValue *= 1.12;
}
else if (score.Mods.Any(m => m is OsuModHidden))
{
// We want to give more reward for lower AR when it comes to aim and HD. This nerfs high AR and buffs lower AR.
speedValue *= 1.0 + 0.04 * (12.0 - attributes.ApproachRate);
}
// Scale the speed value with accuracy and OD.
speedValue *= (0.95 + Math.Pow(attributes.OverallDifficulty, 2) / 750) * Math.Pow(accuracy, (14.5 - Math.Max(attributes.OverallDifficulty, 8)) / 2);
// Scale the speed value with # of 50s to punish doubletapping.
speedValue *= Math.Pow(0.98, countMeh < totalHits / 500.0 ? 0 : countMeh - totalHits / 500.0);
return(speedValue);
}
private double calculateEffectiveMissCount(OsuDifficultyAttributes attributes)
{
// Guess the number of misses + slider breaks from combo
double comboBasedMissCount = 0.0;
if (attributes.SliderCount > 0)
{
double fullComboThreshold = attributes.MaxCombo - 0.1 * attributes.SliderCount;
if (scoreMaxCombo < fullComboThreshold)
{
comboBasedMissCount = fullComboThreshold / Math.Max(1.0, scoreMaxCombo);
}
}
// Clamp miss count since it's derived from combo and can be higher than total hits and that breaks some calculations
comboBasedMissCount = Math.Min(comboBasedMissCount, totalHits);
return(Math.Max(countMiss, comboBasedMissCount));
}
private double computeAimValue(ScoreInfo score, OsuDifficultyAttributes attributes)
{
double rawAim = attributes.AimDifficulty;
if (score.Mods.Any(m => m is OsuModTouchDevice))
{
rawAim = Math.Pow(rawAim, 0.8);
}
double aimValue = Math.Pow(5.0 * Math.Max(1.0, rawAim / 0.0675) - 4.0, 3.0) / 100000.0;
double lengthBonus = 0.95 + 0.4 * Math.Min(1.0, totalHits / 2000.0) +
(totalHits > 2000 ? Math.Log10(totalHits / 2000.0) * 0.5 : 0.0);
aimValue *= lengthBonus;
// Penalize misses by assessing # of misses relative to the total # of objects. Default a 3% reduction for any # of misses.
if (effectiveMissCount > 0)
{
aimValue *= 0.97 * Math.Pow(1 - Math.Pow(effectiveMissCount / totalHits, 0.775), effectiveMissCount);
}
aimValue *= getComboScalingFactor(attributes);
double approachRateFactor = 0.0;
if (attributes.ApproachRate > 10.33)
{
approachRateFactor = 0.3 * (attributes.ApproachRate - 10.33);
}
else if (attributes.ApproachRate < 8.0)
{
approachRateFactor = 0.1 * (8.0 - attributes.ApproachRate);
}
aimValue *= 1.0 + approachRateFactor * lengthBonus; // Buff for longer maps with high AR.
if (score.Mods.Any(m => m is OsuModBlinds))
{
aimValue *= 1.3 + (totalHits * (0.0016 / (1 + 2 * effectiveMissCount)) * Math.Pow(accuracy, 16)) * (1 - 0.003 * attributes.DrainRate * attributes.DrainRate);
}
else if (score.Mods.Any(h => h is OsuModHidden))
{
// We want to give more reward for lower AR when it comes to aim and HD. This nerfs high AR and buffs lower AR.
aimValue *= 1.0 + 0.04 * (12.0 - attributes.ApproachRate);
}
// We assume 15% of sliders in a map are difficult since there's no way to tell from the performance calculator.
double estimateDifficultSliders = attributes.SliderCount * 0.15;
if (attributes.SliderCount > 0)
{
double estimateSliderEndsDropped = Math.Clamp(Math.Min(countOk + countMeh + countMiss, attributes.MaxCombo - scoreMaxCombo), 0, estimateDifficultSliders);
double sliderNerfFactor = (1 - attributes.SliderFactor) * Math.Pow(1 - estimateSliderEndsDropped / estimateDifficultSliders, 3) + attributes.SliderFactor;
aimValue *= sliderNerfFactor;
}
aimValue *= accuracy;
// It is important to consider accuracy difficulty when scaling with accuracy.
aimValue *= 0.98 + Math.Pow(attributes.OverallDifficulty, 2) / 2500;
return(aimValue);
}
private double getComboScalingFactor(OsuDifficultyAttributes attributes) => attributes.MaxCombo <= 0 ? 1.0 : Math.Min(Math.Pow(scoreMaxCombo, 0.8) / Math.Pow(attributes.MaxCombo, 0.8), 1.0);
