comment pass

This commit is contained in:
2022-12-29 16:16:49 +01:00
parent 643e03192a
commit ff01a700bd
75 changed files with 634 additions and 65 deletions

View File

@@ -6,12 +6,25 @@ using Random = System.Random;
namespace EscapeRoomEngine.Engine.Runtime.Utilities
{
/// <summary>
/// The representation of a normal distribution with a certain mean μ and standard deviation σ.
/// </summary>
[Serializable]
public struct NormalDistribution
{
public float μ, σ;
/// <summary>
/// The mean of this distribution.
/// </summary>
public float μ;
/// <summary>
/// The standard deviation of this distribution.
/// </summary>
public float σ;
public static NormalDistribution Standard => new NormalDistribution { μ = 0, σ = 1 };
/// <summary>
/// Generate a standard normal distribution.
/// </summary>
public static NormalDistribution Standard => new() { μ = 0, σ = 1 };
public NormalDistribution(float[] samples) : this()
{
@@ -19,13 +32,25 @@ namespace EscapeRoomEngine.Engine.Runtime.Utilities
σ = Probability.StandardDeviation(samples, μ);
}
/// <summary>
/// Sample a random value from this distribution.
/// </summary>
public float Sample() => σ * Probability.Normal() + μ;
/// <summary>
/// Sample the CDF of this distribution.
/// </summary>
public float Cumulative(float x) => (float)new Normal(μ, σ).CumulativeDistribution(x);
/// <summary>
/// Sample the inverse CDF of this distribution.
/// </summary>
public float InverseCumulative(float x) => (float)new Normal(μ, σ).InverseCumulativeDistribution(x);
}
/// <summary>
/// This class is used for probability calculations.
/// </summary>
public static class Probability
{
private static readonly Random _random = new();
@@ -50,6 +75,9 @@ namespace EscapeRoomEngine.Engine.Runtime.Utilities
return u1 * Mathf.Sqrt(-2 * Mathf.Log(square) / square);
}
/// <summary>
/// Calculate the mean of a list of samples.
/// </summary>
public static float Mean(float[] samples)
{
if (samples.Length == 0)
@@ -60,7 +88,13 @@ namespace EscapeRoomEngine.Engine.Runtime.Utilities
return samples.Sum() / samples.Length;
}
/// <summary>
/// Calculate the standard deviation of a list of samples.
/// </summary>
public static float StandardDeviation(float[] samples) => StandardDeviation(samples, Mean(samples));
/// <summary>
/// Calculate the standard deviation of a list of samples without recalculating the mean.
/// </summary>
public static float StandardDeviation(float[] samples, float mean)
{
var deviations = new float[samples.Length];