// Copyright (c) ppy Pty Ltd . Licensed under the MIT Licence. // See the LICENCE file in the repository root for full licence text. using System; using osu.Game.Rulesets.Difficulty.Preprocessing; using osu.Game.Rulesets.Osu.Difficulty.Preprocessing; using osu.Game.Rulesets.Osu.Objects; namespace osu.Game.Rulesets.Osu.Difficulty.Evaluators { public static class AimEvaluator { private const double wide_angle_multiplier = 1.5; private const double acute_angle_multiplier = 2.0; private const double slider_multiplier = 1.5; private const double velocity_change_multiplier = 0.75; /// /// Evaluates the difficulty of aiming the current object, based on: /// /// cursor velocity to the current object, /// angle difficulty, /// sharp velocity increases, /// and slider difficulty. /// /// public static double EvaluateDifficultyOf(DifficultyHitObject current, bool withSliders) { if (current.BaseObject is Spinner || current.Index <= 1 || current.Previous(0).BaseObject is Spinner) return 0; var osuCurrObj = (OsuDifficultyHitObject)current; var osuLastObj = (OsuDifficultyHitObject)current.Previous(0); var osuLastLastObj = (OsuDifficultyHitObject)current.Previous(1); // Calculate the velocity to the current hitobject, which starts with a base distance / time assuming the last object is a hitcircle. double currVelocity = osuCurrObj.LazyJumpDistance / osuCurrObj.StrainTime; // But if the last object is a slider, then we extend the travel velocity through the slider into the current object. if (osuLastObj.BaseObject is Slider && withSliders) { double travelVelocity = osuLastObj.TravelDistance / osuLastObj.TravelTime; // calculate the slider velocity from slider head to slider end. double movementVelocity = osuCurrObj.MinimumJumpDistance / osuCurrObj.MinimumJumpTime; // calculate the movement velocity from slider end to current object currVelocity = Math.Max(currVelocity, movementVelocity + travelVelocity); // take the larger total combined velocity. } // As above, do the same for the previous hitobject. double prevVelocity = osuLastObj.LazyJumpDistance / osuLastObj.StrainTime; if (osuLastLastObj.BaseObject is Slider && withSliders) { double travelVelocity = osuLastLastObj.TravelDistance / osuLastLastObj.TravelTime; double movementVelocity = osuLastObj.MinimumJumpDistance / osuLastObj.MinimumJumpTime; prevVelocity = Math.Max(prevVelocity, movementVelocity + travelVelocity); } double wideAngleBonus = 0; double acuteAngleBonus = 0; double sliderBonus = 0; double velocityChangeBonus = 0; double aimStrain = currVelocity; // Start strain with regular velocity. if (Math.Max(osuCurrObj.StrainTime, osuLastObj.StrainTime) < 1.25 * Math.Min(osuCurrObj.StrainTime, osuLastObj.StrainTime)) // If rhythms are the same. { if (osuCurrObj.Angle != null && osuLastObj.Angle != null && osuLastLastObj.Angle != null) { double currAngle = osuCurrObj.Angle.Value; double lastAngle = osuLastObj.Angle.Value; double lastLastAngle = osuLastLastObj.Angle.Value; // Rewarding angles, take the smaller velocity as base. double angleBonus = Math.Min(currVelocity, prevVelocity); wideAngleBonus = calcWideAngleBonus(currAngle); acuteAngleBonus = calcAcuteAngleBonus(currAngle); if (osuCurrObj.StrainTime > 100) // Only buff deltaTime exceeding 300 bpm 1/2. acuteAngleBonus = 0; else { acuteAngleBonus *= calcAcuteAngleBonus(lastAngle) // Multiply by previous angle, we don't want to buff unless this is a wiggle type pattern. * Math.Min(angleBonus, 125 / osuCurrObj.StrainTime) // The maximum velocity we buff is equal to 125 / strainTime * Math.Pow(Math.Sin(Math.PI / 2 * Math.Min(1, (100 - osuCurrObj.StrainTime) / 25)), 2) // scale buff from 150 bpm 1/4 to 200 bpm 1/4 * Math.Pow(Math.Sin(Math.PI / 2 * (Math.Clamp(osuCurrObj.LazyJumpDistance, 50, 100) - 50) / 50), 2); // Buff distance exceeding 50 (radius) up to 100 (diameter). } // Penalize wide angles if they're repeated, reducing the penalty as the lastAngle gets more acute. wideAngleBonus *= angleBonus * (1 - Math.Min(wideAngleBonus, Math.Pow(calcWideAngleBonus(lastAngle), 3))); // Penalize acute angles if they're repeated, reducing the penalty as the lastLastAngle gets more obtuse. acuteAngleBonus *= 0.5 + 0.5 * (1 - Math.Min(acuteAngleBonus, Math.Pow(calcAcuteAngleBonus(lastLastAngle), 3))); } } if (Math.Max(prevVelocity, currVelocity) != 0) { // We want to use the average velocity over the whole object when awarding differences, not the individual jump and slider path velocities. prevVelocity = (osuLastObj.LazyJumpDistance + osuLastLastObj.TravelDistance) / osuLastObj.StrainTime; currVelocity = (osuCurrObj.LazyJumpDistance + osuLastObj.TravelDistance) / osuCurrObj.StrainTime; // Scale with ratio of difference compared to 0.5 * max dist. double distRatio = Math.Pow(Math.Sin(Math.PI / 2 * Math.Abs(prevVelocity - currVelocity) / Math.Max(prevVelocity, currVelocity)), 2); // Reward for % distance up to 125 / strainTime for overlaps where velocity is still changing. double overlapVelocityBuff = Math.Min(125 / Math.Min(osuCurrObj.StrainTime, osuLastObj.StrainTime), Math.Abs(prevVelocity - currVelocity)); // Reward for % distance slowed down compared to previous, paying attention to not award overlap double nonOverlapVelocityBuff = Math.Abs(prevVelocity - currVelocity) // do not award overlap * Math.Pow(Math.Sin(Math.PI / 2 * Math.Min(1, Math.Min(osuCurrObj.LazyJumpDistance, osuLastObj.LazyJumpDistance) / 100)), 2); // Choose the largest bonus, multiplied by ratio. velocityChangeBonus = Math.Max(overlapVelocityBuff, nonOverlapVelocityBuff) * distRatio; // Penalize for rhythm changes. velocityChangeBonus *= Math.Pow(Math.Min(osuCurrObj.StrainTime, osuLastObj.StrainTime) / Math.Max(osuCurrObj.StrainTime, osuLastObj.StrainTime), 2); } if (osuLastObj.TravelTime != 0) { // Reward sliders based on velocity. sliderBonus = osuLastObj.TravelDistance / osuLastObj.TravelTime; } // Add in acute angle bonus or wide angle bonus + velocity change bonus, whichever is larger. aimStrain += Math.Max(acuteAngleBonus * acute_angle_multiplier, wideAngleBonus * wide_angle_multiplier + velocityChangeBonus * velocity_change_multiplier); // Add in additional slider velocity bonus. if (withSliders) aimStrain += sliderBonus * slider_multiplier; return aimStrain; } private static double calcWideAngleBonus(double angle) => Math.Pow(Math.Sin(3.0 / 4 * (Math.Min(5.0 / 6 * Math.PI, Math.Max(Math.PI / 6, angle)) - Math.PI / 6)), 2); private static double calcAcuteAngleBonus(double angle) => 1 - calcWideAngleBonus(angle); } }