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f722f94f26
* Simplify osu! high-bpm acute angle jumps bonus * Add aim wiggle bonus * Add hitwindow-based aim velocity decrease * Revert "Add hitwindow-based aim velocity decrease" This reverts commit bcebe9662cfcb7a72805e48712525ef54ec9820e. * Move wiggle multiplier to a const, slightly decrease acute bonus multiplier * Make sure the previous object in the wiggle bonus is also part of the wiggle * Scale the wiggle bonus multiplayer down * Increase the acute angle jump bonus multiplier * Make wiggle bonus only apply on >150 bpm streams, make repetitive angle penalty * Reduce wiggle bonus multiplier to not break velocity>difficulty relation * Adjust wiggle falloff function to fix stability issues * Adjust wiggle consts * Update tests
84 lines
4.0 KiB
C#
84 lines
4.0 KiB
C#
// Copyright (c) ppy Pty Ltd <contact@ppy.sh>. Licensed under the MIT Licence.
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// See the LICENCE file in the repository root for full licence text.
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using System;
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using System.Linq;
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namespace osu.Game.Rulesets.Difficulty.Utils
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{
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public static class DifficultyCalculationUtils
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{
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/// <summary>
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/// Converts BPM value into milliseconds
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/// </summary>
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/// <param name="bpm">Beats per minute</param>
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/// <param name="delimiter">Which rhythm delimiter to use, default is 1/4</param>
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/// <returns>BPM conveted to milliseconds</returns>
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public static double BPMToMilliseconds(double bpm, int delimiter = 4)
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{
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return 60000.0 / delimiter / bpm;
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}
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/// <summary>
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/// Converts milliseconds value into a BPM value
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/// </summary>
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/// <param name="ms">Milliseconds</param>
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/// <param name="delimiter">Which rhythm delimiter to use, default is 1/4</param>
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/// <returns>Milliseconds conveted to beats per minute</returns>
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public static double MillisecondsToBPM(double ms, int delimiter = 4)
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{
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return 60000.0 / (ms * delimiter);
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}
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/// <summary>
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/// Calculates a S-shaped logistic function (https://en.wikipedia.org/wiki/Logistic_function)
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/// </summary>
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/// <param name="x">Value to calculate the function for</param>
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/// <param name="maxValue">Maximum value returnable by the function</param>
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/// <param name="multiplier">Growth rate of the function</param>
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/// <param name="midpointOffset">How much the function midpoint is offset from zero <paramref name="x"/></param>
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/// <returns>The output of logistic function of <paramref name="x"/></returns>
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public static double Logistic(double x, double midpointOffset, double multiplier, double maxValue = 1) => maxValue / (1 + Math.Exp(multiplier * (midpointOffset - x)));
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/// <summary>
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/// Calculates a S-shaped logistic function (https://en.wikipedia.org/wiki/Logistic_function)
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/// </summary>
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/// <param name="maxValue">Maximum value returnable by the function</param>
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/// <param name="exponent">Exponent</param>
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/// <returns>The output of logistic function</returns>
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public static double Logistic(double exponent, double maxValue = 1) => maxValue / (1 + Math.Exp(exponent));
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/// <summary>
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/// Returns the <i>p</i>-norm of an <i>n</i>-dimensional vector (https://en.wikipedia.org/wiki/Norm_(mathematics))
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/// </summary>
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/// <param name="p">The value of <i>p</i> to calculate the norm for.</param>
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/// <param name="values">The coefficients of the vector.</param>
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/// <returns>The <i>p</i>-norm of the vector.</returns>
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public static double Norm(double p, params double[] values) => Math.Pow(values.Sum(x => Math.Pow(x, p)), 1 / p);
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/// <summary>
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/// Smootherstep function (https://en.wikipedia.org/wiki/Smoothstep#Variations)
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/// </summary>
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/// <param name="x">Value to calculate the function for</param>
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/// <param name="start">Value at which function returns 0</param>
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/// <param name="end">Value at which function returns 1</param>
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public static double Smootherstep(double x, double start, double end)
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{
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x = Math.Clamp((x - start) / (end - start), 0.0, 1.0);
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return x * x * x * (x * (6.0 * x - 15.0) + 10.0);
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}
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/// <summary>
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/// Reverse linear interpolation function (https://en.wikipedia.org/wiki/Linear_interpolation)
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/// </summary>
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/// <param name="x">Value to calculate the function for</param>
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/// <param name="start">Value at which function returns 0</param>
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/// <param name="end">Value at which function returns 1</param>
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public static double ReverseLerp(double x, double start, double end)
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{
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return Math.Clamp((x - start) / (end - start), 0.0, 1.0);
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}
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}
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}
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