// Copyright (c) ppy Pty Ltd . Licensed under the MIT Licence. // See the LICENCE file in the repository root for full licence text. #nullable disable using System; using System.Collections.Generic; using System.Linq; using osu.Game.Beatmaps; using osu.Game.Rulesets.Difficulty; using osu.Game.Rulesets.Difficulty.Preprocessing; using osu.Game.Rulesets.Difficulty.Skills; using osu.Game.Rulesets.Mods; using osu.Game.Rulesets.Scoring; using osu.Game.Rulesets.Taiko.Difficulty.Preprocessing; using osu.Game.Rulesets.Taiko.Difficulty.Skills; using osu.Game.Rulesets.Taiko.Mods; using osu.Game.Rulesets.Taiko.Objects; using osu.Game.Rulesets.Taiko.Scoring; namespace osu.Game.Rulesets.Taiko.Difficulty { public class TaikoDifficultyCalculator : DifficultyCalculator { private const double rhythm_skill_multiplier = 0.014; private const double colour_skill_multiplier = 0.01; private const double stamina_skill_multiplier = 0.021; public TaikoDifficultyCalculator(IRulesetInfo ruleset, IWorkingBeatmap beatmap) : base(ruleset, beatmap) { } protected override Skill[] CreateSkills(IBeatmap beatmap, Mod[] mods, double clockRate) => new Skill[] { new Colour(mods), new Rhythm(mods), new Stamina(mods) }; protected override Mod[] DifficultyAdjustmentMods => new Mod[] { new TaikoModDoubleTime(), new TaikoModHalfTime(), new TaikoModEasy(), new TaikoModHardRock(), }; protected override IEnumerable CreateDifficultyHitObjects(IBeatmap beatmap, double clockRate) { List taikoDifficultyHitObjects = new List(); for (int i = 2; i < beatmap.HitObjects.Count; i++) { taikoDifficultyHitObjects.Add( new TaikoDifficultyHitObject( beatmap.HitObjects[i], beatmap.HitObjects[i - 1], beatmap.HitObjects[i - 2], clockRate, taikoDifficultyHitObjects, taikoDifficultyHitObjects.Count ) ); } return taikoDifficultyHitObjects; } protected override DifficultyAttributes CreateDifficultyAttributes(IBeatmap beatmap, Mod[] mods, Skill[] skills, double clockRate) { if (beatmap.HitObjects.Count == 0) return new TaikoDifficultyAttributes { Mods = mods }; var colour = (Colour)skills[0]; var rhythm = (Rhythm)skills[1]; var stamina = (Stamina)skills[2]; double colourRating = colour.DifficultyValue() * colour_skill_multiplier; double rhythmRating = rhythm.DifficultyValue() * rhythm_skill_multiplier; double staminaRating = stamina.DifficultyValue() * stamina_skill_multiplier; double staminaPenalty = simpleColourPenalty(staminaRating, colourRating); staminaRating *= staminaPenalty; //TODO : This is a temporary fix for the stamina rating of converts, due to their low colour variance. if (beatmap.BeatmapInfo.Ruleset.OnlineID == 0 && colourRating < 0.05) { staminaPenalty *= 0.25; } double combinedRating = locallyCombinedDifficulty(colour, rhythm, stamina, staminaPenalty); double separatedRating = norm(1.5, colourRating, rhythmRating, staminaRating); double starRating = 1.4 * separatedRating + 0.5 * combinedRating; starRating = rescale(starRating); HitWindows hitWindows = new TaikoHitWindows(); hitWindows.SetDifficulty(beatmap.Difficulty.OverallDifficulty); return new TaikoDifficultyAttributes { StarRating = starRating, Mods = mods, StaminaDifficulty = staminaRating, RhythmDifficulty = rhythmRating, ColourDifficulty = colourRating, GreatHitWindow = hitWindows.WindowFor(HitResult.Great) / clockRate, MaxCombo = beatmap.HitObjects.Count(h => h is Hit), }; } /// /// Calculates the penalty for the stamina skill for maps with low colour difficulty. /// /// /// Some maps (especially converts) can be easy to read despite a high note density. /// This penalty aims to reduce the star rating of such maps by factoring in colour difficulty to the stamina skill. /// private double simpleColourPenalty(double staminaDifficulty, double colorDifficulty) { if (colorDifficulty <= 0) return 0.79 - 0.25; return 0.79 - Math.Atan(staminaDifficulty / colorDifficulty - 12) / Math.PI / 2; } /// /// Returns the p-norm of an n-dimensional vector. /// /// The value of p to calculate the norm for. /// The coefficients of the vector. private double norm(double p, params double[] values) => Math.Pow(values.Sum(x => Math.Pow(x, p)), 1 / p); /// /// Returns the partial star rating of the beatmap, calculated using peak strains from all sections of the map. /// /// /// For each section, the peak strains of all separate skills are combined into a single peak strain for the section. /// The resulting partial rating of the beatmap is a weighted sum of the combined peaks (higher peaks are weighted more). /// private double locallyCombinedDifficulty(Colour colour, Rhythm rhythm, Stamina stamina, double staminaPenalty) { List peaks = new List(); var colourPeaks = colour.GetCurrentStrainPeaks().ToList(); var rhythmPeaks = rhythm.GetCurrentStrainPeaks().ToList(); var staminaPeaks = stamina.GetCurrentStrainPeaks().ToList(); for (int i = 0; i < colourPeaks.Count; i++) { double colourPeak = colourPeaks[i] * colour_skill_multiplier; double rhythmPeak = rhythmPeaks[i] * rhythm_skill_multiplier; double staminaPeak = staminaPeaks[i] * stamina_skill_multiplier * staminaPenalty; double peak = norm(2, colourPeak, rhythmPeak, staminaPeak); // Sections with 0 strain are excluded to avoid worst-case time complexity of the following sort (e.g. /b/2351871). // These sections will not contribute to the difficulty. if (peak > 0) peaks.Add(peak); } double difficulty = 0; double weight = 1; foreach (double strain in peaks.OrderByDescending(d => d)) { difficulty += strain * weight; weight *= 0.9; } return difficulty; } /// /// Applies a final re-scaling of the star rating to bring maps with recorded full combos below 9.5 stars. /// /// The raw star rating value before re-scaling. private double rescale(double sr) { if (sr < 0) return sr; return 10.43 * Math.Log(sr / 8 + 1); } } }