m-vz/modular-vr
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

phase 2

Browse Source
This commit is contained in:
milan
2022-12-15 23:29:02 +01:00
parent 95220bec08
commit 4f57b57a00
24 changed files with 1695 additions and 81 deletions
Download Patch File Download Diff File Expand all files Collapse all files

37
Assets/Engine/Runtime/Utilities/Probability.cs
View File

@@ -1,6 +1,7 @@
using System;
using System.Linq;
using MathNet.Numerics.Distributions;
using UnityEngine;
using Random = System.Random;
namespace EscapeRoomEngine.Engine.Runtime.Utilities
@@ -8,19 +9,21 @@ namespace EscapeRoomEngine.Engine.Runtime.Utilities
[Serializable]
public struct NormalDistribution
{
public double mean, σ;
public float μ, σ;
public static NormalDistribution Standard => new NormalDistribution { mean = 0, σ = 1 };
public static NormalDistribution Standard => new NormalDistribution { μ = 0, σ = 1 };
public NormalDistribution(double[] samples) : this()
public NormalDistribution(float[] samples) : this()
{
mean = Probability.Mean(samples);
σ = Probability.StandardDeviation(samples, mean);
μ = Probability.Mean(samples);
σ = Probability.StandardDeviation(samples, μ);
}
public double Sample() => σ * Probability.Normal() + mean;
public float Sample() => σ * Probability.Normal() + μ;
public double Cumulative(double x) => new Normal(mean, σ).CumulativeDistribution(x);
public float Cumulative(float x) => (float)new Normal(μ, σ).CumulativeDistribution(x);
public float InverseCumulative(float x) => (float)new Normal(μ, σ).InverseCumulativeDistribution(x);
}
public static class Probability
@@ -32,22 +35,22 @@ namespace EscapeRoomEngine.Engine.Runtime.Utilities
/// For simplicity, the result is clamped between -3 and 3. This is accurate for 99.7% of all samples, by the three-σ rule.
/// </summary>
/// <remarks>The calculation of the random variable is done by a Box-Muller transform.</remarks>
public static double Normal()
public static float Normal()
{
double u1, u2, square;
float u1, u2, square;
// get two random points inside the unit circle
do
{
u1 = 2 * _random.NextDouble() - 1;
u2 = 2 * _random.NextDouble() - 1;
u1 = 2 * (float)_random.NextDouble() - 1;
u2 = 2 * (float)_random.NextDouble() - 1;
square = u1 * u1 + u2 * u2;
} while (square >= 1f);
return u1 * Math.Sqrt(-2 * Math.Log(square) / square);
return u1 * Mathf.Sqrt(-2 * Mathf.Log(square) / square);
}
public static double Mean(double[] samples)
public static float Mean(float[] samples)
{
if (samples.Length == 0)
{
@@ -57,10 +60,10 @@ namespace EscapeRoomEngine.Engine.Runtime.Utilities
return samples.Sum() / samples.Length;
}
public static double StandardDeviation(double[] samples) => StandardDeviation(samples, Mean(samples));
public static double StandardDeviation(double[] samples, double mean)
public static float StandardDeviation(float[] samples) => StandardDeviation(samples, Mean(samples));
public static float StandardDeviation(float[] samples, float mean)
{
var deviations = new double[samples.Length];
var deviations = new float[samples.Length];
for (var i = 0; i < samples.Length; i++)
{
@@ -68,7 +71,7 @@ namespace EscapeRoomEngine.Engine.Runtime.Utilities
deviations[i] = d * d;
}
return Math.Sqrt(Mean(deviations));
return Mathf.Sqrt(Mean(deviations));
}
}
}