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  • Add score multiplier calculator API (#37822)
    - Part of https://github.com/ppy/osu/issues/37818
    - Continued from
    https://github.com/ppy/osu/pull/37355#issuecomment-4449248107
    
    ## Overview
    
    This PR introduces an alternative API, `ScoreMultiplierCalculator`, to
    be used going forward for calculating mod multipliers.
    
    The reason for introducing this new API is that it has been requested
    that:
    - For any two given mods, it should be possible to have the combined mod
    multipliers of them in combination be *different* than the product of
    the individual mods' multipliers in isolation, i.e. $mult( \\{ A, B \\}
    ) \neq mult( \\{ A \\} ) \cdot mult( \\{ B \\} )$.
    - For an individual mod, it should be possible to have the mod
    multipliers depend on a quantity that is *not* the presence of another
    mod or the direct value of a setting on the mod.
    
    This capability is being demonstrated in this PR via the
    `osu.Game.Tests.Rulesets.Scoring.ScoreMultiplierCalculatorTest` test
    fixture.
    
    ## Parity with `Mod.ScoreMultiplier`
    
    This PR contains a `ScoreMultiplierCalculator` implementation for each
    of the built-in four rulesets.
    
    The abstract `osu.Game.Tests.Rulesets.RulesetScoreMultiplierTest` and
    its four derived ruleset-specific test fixtures were written to ensure
    that the new implementations do not diverge from the current state of
    affairs.
    
    `Mod.ScoreMultiplier` is not removed in this diff to keep size low. It
    will be removed as a follow-up.
    
    ## Performance
    
    This PR contains a benchmark comparing the current implementation via
    `Mod.ScoreMultiplier` and the new `ScoreMultiplierCalculator` API.
    Results below.
    
    <details>
    
    | Method | Times | Mods | Mean | Error | StdDev | Gen0 | Allocated |
    |---------------------- |------ |---------------------
    |--------------:|------------:|------------:|--------:|----------:|
    | ViaModScoreMultiplier | 1 | mods (...)tings [27] | 121.171 ns | 1.5284
    ns | 1.4297 ns | 0.0782 | 656 B |
    | ViaCalculator | 1 | mods (...)tings [27] | 248.509 ns | 1.9313 ns |
    1.6127 ns | 0.1364 | 1144 B |
    | ViaModScoreMultiplier | 1 | multiple mods | 128.357 ns | 0.4282 ns |
    0.4006 ns | 0.0782 | 656 B |
    | ViaCalculator | 1 | multiple mods | 252.953 ns | 1.2860 ns | 1.2029 ns
    | 0.1364 | 1144 B |
    | ViaModScoreMultiplier | 1 | no mods | 3.007 ns | 0.0345 ns | 0.0288 ns
    | - | - |
    | ViaCalculator | 1 | no mods | 14.802 ns | 0.0616 ns | 0.0576 ns |
    0.0134 | 112 B |
    | ViaModScoreMultiplier | 1 | single mod | 40.271 ns | 0.1238 ns |
    0.1098 ns | 0.0258 | 216 B |
    | ViaCalculator | 1 | single mod | 113.033 ns | 0.3140 ns | 0.2937 ns |
    0.0842 | 704 B |
    | ViaModScoreMultiplier | 1 | single mod 2 | 3.653 ns | 0.0384 ns |
    0.0359 ns | 0.0038 | 32 B |
    | ViaCalculator | 1 | single mod 2 | 78.172 ns | 0.0680 ns | 0.0603 ns |
    0.0621 | 520 B |
    | ViaModScoreMultiplier | 10 | mods (...)tings [27] | 1,169.609 ns |
    4.3058 ns | 4.0276 ns | 0.7839 | 6560 B |
    | ViaCalculator | 10 | mods (...)tings [27] | 2,575.264 ns | 21.2705 ns
    | 19.8964 ns | 1.3657 | 11440 B |
    | ViaModScoreMultiplier | 10 | multiple mods | 1,171.775 ns | 6.2332 ns
    | 5.2050 ns | 0.7839 | 6560 B |
    | ViaCalculator | 10 | multiple mods | 2,579.593 ns | 22.1010 ns |
    20.6733 ns | 1.3657 | 11440 B |
    | ViaModScoreMultiplier | 10 | no mods | 35.943 ns | 0.1665 ns | 0.1476
    ns | - | - |
    | ViaCalculator | 10 | no mods | 154.980 ns | 0.2381 ns | 0.1988 ns |
    0.1338 | 1120 B |
    | ViaModScoreMultiplier | 10 | single mod | 404.185 ns | 1.3190 ns |
    1.2338 ns | 0.2580 | 2160 B |
    | ViaCalculator | 10 | single mod | 1,167.279 ns | 6.1641 ns | 5.7659 ns
    | 0.8411 | 7040 B |
    | ViaModScoreMultiplier | 10 | single mod 2 | 42.128 ns | 0.2878 ns |
    0.2692 ns | 0.0382 | 320 B |
    | ViaCalculator | 10 | single mod 2 | 775.435 ns | 2.3318 ns | 2.1811 ns
    | 0.6208 | 5200 B |
    | ViaModScoreMultiplier | 100 | mods (...)tings [27] | 11,623.346 ns |
    51.7174 ns | 43.1863 ns | 7.8430 | 65600 B |
    | ViaCalculator | 100 | mods (...)tings [27] | 25,252.987 ns | 44.4352
    ns | 39.3906 ns | 13.6719 | 114400 B |
    | ViaModScoreMultiplier | 100 | multiple mods | 11,928.536 ns | 35.2079
    ns | 32.9334 ns | 7.8430 | 65600 B |
    | ViaCalculator | 100 | multiple mods | 25,399.378 ns | 152.4597 ns |
    127.3108 ns | 13.6719 | 114400 B |
    | ViaModScoreMultiplier | 100 | no mods | 328.158 ns | 0.5827 ns |
    0.5165 ns | - | - |
    | ViaCalculator | 100 | no mods | 1,517.485 ns | 10.2304 ns | 9.5695 ns
    | 1.3390 | 11200 B |
    | ViaModScoreMultiplier | 100 | single mod | 3,986.251 ns | 24.2523 ns |
    21.4991 ns | 2.5787 | 21600 B |
    | ViaCalculator | 100 | single mod | 11,479.514 ns | 23.3738 ns |
    20.7203 ns | 8.4076 | 70400 B |
    | ViaModScoreMultiplier | 100 | single mod 2 | 385.679 ns | 3.5190 ns |
    3.2917 ns | 0.3824 | 3200 B |
    | ViaCalculator | 100 | single mod 2 | 7,658.646 ns | 21.8274 ns |
    19.3494 ns | 6.2103 | 52000 B |
    
    </details>
    
    While the calculator is obviously slower, in my view it is not
    egregiously so. The main overheads both time- and memory-wise are
    collection allocations for the dictionary and the set which I consider
    to be directly caused by the requested additional complexity and as such
    I don't really consider them eliminable.
    
    I have tried and applied some micro-optimisations
    (e2469ce338,
    cb33abec17), albeit with negligible
    effect. I have also tried to key the mods by `Acronym` instead of by
    `Type` and the difference was basically nil.
    
    <details>
    <summary>patch for keying by acronym</summary>
    
    ```diff
    diff --git a/osu.Game/Rulesets/Scoring/ScoreMultiplierCalculator.cs b/osu.Game/Rulesets/Scoring/ScoreMultiplierCalculator.cs
    index 772f9d178b..7f5907cbda 100644
    --- a/osu.Game/Rulesets/Scoring/ScoreMultiplierCalculator.cs
    +++ b/osu.Game/Rulesets/Scoring/ScoreMultiplierCalculator.cs
    @@ -13,26 +13,26 @@ namespace osu.Game.Rulesets.Scoring
         /// </summary>
         public class ScoreMultiplierCalculator
         {
    -        private static readonly List<(Type[] mods, Func<Mod[], double> multiplier)> combination_multipliers = [];
    -        private static readonly Dictionary<Type, Func<Mod, ScoreMultiplierCalculator, double>> single_multipliers_with_context = [];
    -        private static readonly Dictionary<Type, Func<Mod, double>> single_multipliers = [];
    +        private static readonly List<(string[] modAcronyms, Func<Mod[], double> multiplier)> combination_multipliers = [];
    +        private static readonly Dictionary<string, Func<Mod, ScoreMultiplierCalculator, double>> single_multipliers_with_context = [];
    +        private static readonly Dictionary<string, Func<Mod, double>> single_multipliers = [];
     
             /// <summary>
             /// Defines a flat, setting-independent score multiplier for the given <typeparamref name="TMod"/>.
             /// </summary>
             public static void Single<TMod>(double hasMultiplier)
    -            where TMod : Mod
    +            where TMod : Mod, new()
             {
    -            single_multipliers[typeof(TMod)] = _ => hasMultiplier;
    +            single_multipliers[new TMod().Acronym] = _ => hasMultiplier;
             }
     
             /// <summary>
             /// Defines a setting-dependent score multiplier for the given <typeparamref name="TMod"/>.
             /// </summary>
             public static void Single<TMod>(Func<TMod, double> hasMultiplier)
    -            where TMod : Mod
    +            where TMod : Mod, new()
             {
    -            single_multipliers[typeof(TMod)] = mod => hasMultiplier.Invoke((TMod)mod);
    +            single_multipliers[new TMod().Acronym] = mod => hasMultiplier.Invoke((TMod)mod);
             }
     
             /// <summary>
    @@ -40,20 +40,20 @@ public static void Single<TMod>(Func<TMod, double> hasMultiplier)
             /// The multiplier calculation is given additional context to calculate the multiplier via the <typeparamref name="TContext"/> type instance.
             /// </summary>
             public static void Single<TMod, TContext>(Func<TMod, TContext, double> hasMultiplier)
    -            where TMod : Mod
    +            where TMod : Mod, new()
                 where TContext : ScoreMultiplierCalculator
             {
    -            single_multipliers_with_context[typeof(TMod)] = (mod, context) => hasMultiplier.Invoke((TMod)mod, (TContext)context);
    +            single_multipliers_with_context[new TMod().Acronym] = (mod, context) => hasMultiplier.Invoke((TMod)mod, (TContext)context);
             }
     
             /// <summary>
             /// Defines a score multiplier specific to when both <typeparamref name="T1"/> and <typeparamref name="T2"/> mods are present.
             /// </summary>
             public static void Combination<T1, T2>(Func<T1, T2, double> hasMultiplier)
    -            where T1 : Mod
    -            where T2 : Mod
    +            where T1 : Mod, new()
    +            where T2 : Mod, new()
             {
    -            combination_multipliers.Add(([typeof(T1), typeof(T2)], mods => hasMultiplier((T1)mods[0], (T2)mods[1])));
    +            combination_multipliers.Add(([new T1().Acronym, new T2().Acronym], mods => hasMultiplier((T1)mods[0], (T2)mods[1])));
             }
     
             /// <summary>
    @@ -61,7 +61,7 @@ public static void Combination<T1, T2>(Func<T1, T2, double> hasMultiplier)
             /// </summary>
             public double CalculateFor(IEnumerable<Mod> mods)
             {
    -            var allModsByType = mods.ToDictionary(m => m.GetType());
    +            var allModsByType = mods.ToDictionary(m => m.Acronym);
     
                 if (allModsByType.Count == 0)
                     return 1;
    @@ -83,7 +83,7 @@ public double CalculateFor(IEnumerable<Mod> mods)
                     }
                 }
     
    -            foreach (var modType in remainingModTypes)
    +            foreach (string modType in remainingModTypes)
                 {
                     if (single_multipliers.TryGetValue(modType, out var multiplier))
                         result *= multiplier(allModsByType[modType]);
    
    ```
    
    </details>
    
    One particular parallel thread that may warrant follow-up is that
    `Mod.UsesDefaultConfiguration` is disproportionately expensive due to
    calling into regexes via Humanizer internals.
    
    <img width="1517" height="517" alt="Screenshot_2026-05-19_at_10 58 30"
    src="https://github.com/user-attachments/assets/68309a8c-74e7-4f96-8ef9-62868eeca337"
    />