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Approximate miss error using the rayleigh distribution

This commit is contained in:
nathen 2024-01-23 20:40:32 -05:00
parent 6d863e5a46
commit 49ddc4526f
3 changed files with 27 additions and 34 deletions

View File

@ -333,7 +333,7 @@ namespace osu.Game.Rulesets.Osu
new StatisticItem("Aim Statistics", () => new SimpleStatisticTable(2, new SimpleStatisticItem[]
{
new AverageAimError(timedHitEvents),
new AimError(timedHitEvents)
new AimError(timedHitEvents, playableBeatmap)
}), true),
};
}

View File

@ -4,6 +4,8 @@
using System;
using System.Collections.Generic;
using System.Linq;
using osu.Game.Beatmaps;
using osu.Game.Rulesets.Objects.Legacy;
using osu.Game.Rulesets.Osu.Objects;
using osu.Game.Rulesets.Scoring;
using osu.Game.Screens.Ranking.Statistics;
@ -21,47 +23,38 @@ namespace osu.Game.Rulesets.Osu.Statistics
/// <summary>
/// Creates and computes an <see cref="AimError"/> statistic.
/// </summary>
public AimError(IEnumerable<HitEvent> hitEvents)
public AimError(IEnumerable<HitEvent> hitEvents, IBeatmap playableBeatmap)
: base("Aim Error")
{
Value = calculateAimError(hitEvents);
Value = calculateAimError(hitEvents, playableBeatmap);
}
private double? calculateAimError(IEnumerable<HitEvent> hitEvents)
private double? calculateAimError(IEnumerable<HitEvent> hitEvents, IBeatmap playableBeatmap)
{
IEnumerable<HitEvent> rawHitPositions = hitEvents.Where(affectsAimError);
IEnumerable<HitEvent> hitCircleEvents = hitEvents.Where(e => e.HitObject is HitCircle && !(e.HitObject is SliderTailCircle));
if (!rawHitPositions.Any())
double nonMissCount = hitCircleEvents.Count(e => e.Result.IsHit());
double missCount = hitCircleEvents.Count() - nonMissCount;
if (nonMissCount == 0)
return null;
foreach (var e in hitEvents.Where(e => e.HitObject is HitCircle && !(e.HitObject is SliderTailCircle)))
foreach (var e in hitCircleEvents)
{
if (e.LastHitObject == null || e.Position == null)
if (e.Position == null)
continue;
addAngleAdjustedPoint(((OsuHitObject)e.LastHitObject).StackedEndPosition, ((OsuHitObject)e.HitObject).StackedEndPosition, e.Position.Value);
hitPoints.Add((e.Position - ((OsuHitObject)e.HitObject).StackedEndPosition).Value);
}
Vector2 averagePosition = new Vector2(hitPoints.Sum(x => x[0]), hitPoints.Sum(x => x[1])) / hitEvents.Where(affectsAimError).Count();
double radius = OsuHitObject.OBJECT_RADIUS * LegacyRulesetExtensions.CalculateScaleFromCircleSize(playableBeatmap.Difficulty.CircleSize, true);
return Math.Sqrt(hitPoints.Average(x => (x - averagePosition).LengthSquared)) * 10;
// We don't get data for miss locations, so we estimate the total variance using the Rayleigh distribution.
double variance = (missCount * Math.Pow(radius, 2) + hitPoints.Aggregate(0.0, (current, point) => current + point.LengthSquared)) / (2 * nonMissCount);
return Math.Sqrt(variance) * 10;
}
private void addAngleAdjustedPoint(Vector2 start, Vector2 end, Vector2 hitPoint)
{
double angle1 = Math.Atan2(end.Y - hitPoint.Y, hitPoint.X - end.X); // Angle between the end point and the hit point.
double angle2 = Math.Atan2(end.Y - start.Y, start.X - end.X); // Angle between the end point and the start point.
double finalAngle = angle2 - angle1; // Angle between start, end, and hit points.
double distanceFromCenter = (hitPoint - end).Length;
Vector2 angleAdjustedPoint = new Vector2((float)(Math.Sin(finalAngle) * distanceFromCenter), (float)(Math.Cos(finalAngle) * distanceFromCenter));
hitPoints.Add(angleAdjustedPoint);
}
private bool affectsAimError(HitEvent hitEvent) => hitEvent.HitObject is HitCircle && !(hitEvent.HitObject is SliderTailCircle) && hitEvent.Result.IsHit();
protected override string DisplayValue(double? value) => value == null ? "(not available)" : value.Value.ToString(@"N2");
}
}

View File

@ -23,19 +23,21 @@ namespace osu.Game.Rulesets.Osu.Statistics
/// </summary>
/// <param name="hitEvents">Sequence of <see cref="HitEvent"/>s to calculate the unstable rate based on.</param>
public AverageAimError(IEnumerable<HitEvent> hitEvents)
: base("Average Hit Error")
: base("Average Aim Error")
{
Value = calculateAverageAimError(hitEvents);
}
private double? calculateAverageAimError(IEnumerable<HitEvent> hitEvents)
{
IEnumerable<HitEvent> rawHitPositions = hitEvents.Where(affectsAimError);
IEnumerable<HitEvent> hitCircleEvents = hitEvents.Where(e => e.HitObject is HitCircle && !(e.HitObject is SliderTailCircle) && e.Result.IsHit());
if (!rawHitPositions.Any())
double nonMissCount = hitCircleEvents.Count(e => e.Result.IsHit());
if (nonMissCount == 0)
return null;
foreach (var e in rawHitPositions)
foreach (var e in hitCircleEvents)
{
if (e.LastHitObject == null || e.Position == null)
continue;
@ -43,7 +45,7 @@ namespace osu.Game.Rulesets.Osu.Statistics
addAngleAdjustedPoint(((OsuHitObject)e.LastHitObject).StackedEndPosition, ((OsuHitObject)e.HitObject).StackedEndPosition, e.Position.Value);
}
Vector2 averagePosition = new Vector2(hitPoints.Sum(x => x[0]), hitPoints.Sum(x => x[1])) / rawHitPositions.Count();
Vector2 averagePosition = new Vector2(hitPoints.Sum(x => x[0]), hitPoints.Sum(x => x[1])) / (float)nonMissCount;
return averagePosition.Length;
}
@ -61,8 +63,6 @@ namespace osu.Game.Rulesets.Osu.Statistics
hitPoints.Add(angleAdjustedPoint);
}
private bool affectsAimError(HitEvent hitEvent) => hitEvent.HitObject is HitCircle && !(hitEvent.HitObject is SliderTailCircle) && hitEvent.Result.IsHit();
protected override string DisplayValue(double? value) => value == null ? "(not available)" : $"{Math.Abs(value.Value):N2} osu!px from center";
protected override string DisplayValue(double? value) => value == null ? "(not available)" : $"{Math.Abs(value.Value):N2} osu! pixels from center";
}
}