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probability utilities

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This commit is contained in:
milan
2022-12-15 10:49:46 +01:00
parent 12b0acbcbe
commit 95220bec08
36 changed files with 54415 additions and 7 deletions
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54
App.config Normal file
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3
Assets/Engine/Runtime/Engine.asmdef
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3
Assets/Engine/Runtime/Measurements/PuzzleStorage.cs
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using System;
using EscapeRoomEngine.Engine.Runtime.Modules;
using EscapeRoomEngine.Engine.Runtime.Modules;
using Realms;
using UnityEngine;
using Logger = EscapeRoomEngine.Engine.Runtime.Utilities.Logger;

1
Assets/Engine/Runtime/Modules/PuzzleState.cs
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using System;
using EscapeRoomEngine.Engine.Runtime.Measurements;
using EscapeRoomEngine.Engine.Runtime.Utilities;
using NaughtyAttributes;
using UnityEngine;

3
Assets/Engine/Runtime/UI/GameControl.cs
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using System;
using EscapeRoomEngine.Engine.Runtime.Measurements;
using EscapeRoomEngine.Engine.Runtime.Measurements;
using EscapeRoomEngine.Engine.Runtime.Utilities;
using NaughtyAttributes;
using UnityEngine;

74
Assets/Engine/Runtime/Utilities/Probability.cs Normal file
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using System;
using System.Linq;
using MathNet.Numerics.Distributions;
using Random = System.Random;
namespace EscapeRoomEngine.Engine.Runtime.Utilities
{
[Serializable]
public struct NormalDistribution
{
public double mean, σ;
public static NormalDistribution Standard => new NormalDistribution { mean = 0, σ = 1 };
public NormalDistribution(double[] samples) : this()
{
mean = Probability.Mean(samples);
σ = Probability.StandardDeviation(samples, mean);
}
public double Sample() => σ * Probability.Normal() + mean;
public double Cumulative(double x) => new Normal(mean, σ).CumulativeDistribution(x);
}
public static class Probability
{
private static readonly Random _random = new();
/// <summary>
/// Sample a random variable from the standard normal distribution.
/// 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()
{
double u1, u2, square;
// get two random points inside the unit circle
do
{
u1 = 2 * _random.NextDouble() - 1;
u2 = 2 * _random.NextDouble() - 1;
square = u1 * u1 + u2 * u2;
} while (square >= 1f);
return u1 * Math.Sqrt(-2 * Math.Log(square) / square);
}
public static double Mean(double[] samples)
{
if (samples.Length == 0)
{
return 0;
}
return samples.Sum() / samples.Length;
}
public static double StandardDeviation(double[] samples) => StandardDeviation(samples, Mean(samples));
public static double StandardDeviation(double[] samples, double mean)
{
var deviations = new double[samples.Length];
for (var i = 0; i < samples.Length; i++)
{
var d = samples[i] - mean;
deviations[i] = d * d;
}
return Math.Sqrt(Mean(deviations));
}
}
}

3
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1
Assets/Engine/Runtime/Utilities/Utilities.cs
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using System;
using System.Collections.Generic;
using System.Linq;
using UnityEngine;
using Random = UnityEngine.Random;

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MIT License
Copyright (c) 2018 Patrick McCarthy
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

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Assets/Test Assets/ProbabilityTest.cs Normal file
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using EscapeRoomEngine.Engine.Runtime.Utilities;
using JetBrains.Annotations;
using MathNet.Numerics.Distributions;
using NaughtyAttributes;
using UnityEngine;
namespace Test_Assets
{
public class ProbabilityTest : MonoBehaviour
{
public NormalDistribution distribution = NormalDistribution.Standard;
public int steps = 24;
public int n = 1000000;
public double sample;
[Button]
[UsedImplicitly]
public void ShowDistribution()
{
var samples = Samples();
var step = 6f / steps;
for (var i = -3f; i < 3f; i += step)
{
var count = 0;
for (var j = 0; j < n; j++)
{
var sample = samples[j];
if (sample >= i && sample < i + step)
{
count++;
}
}
var row = "";
for (var j = 0; j < 1000f*count/n; j++)
{
row += "*";
}
Debug.Log(row);
}
}
[Button]
[UsedImplicitly]
public void CalculateMean()
{
Debug.Log(Probability.Mean(Samples()));
}
[Button]
[UsedImplicitly]
public void CalculateStandardDeviation()
{
Debug.Log(Probability.StandardDeviation(Samples()));
}
[Button]
[UsedImplicitly]
public void SamplePercentile()
{
Debug.Log(distribution.Cumulative(sample));
}
private double[] Samples()
{
var samples = new double[n];
for (var i = 0; i < n; i++)
{
samples[i] = distribution.Sample();
}
return samples;
}
}
}

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