├── .gitignore ├── Assets ├── Voxus.meta └── Voxus │ ├── Random.meta │ └── Random │ ├── AbstractRandom.cs │ ├── AbstractRandom.cs.meta │ ├── Examples.meta │ ├── Examples │ ├── Example1.cs │ ├── Example1.cs.meta │ ├── Example1.unity │ └── Example1.unity.meta │ ├── RandomExponential.cs │ ├── RandomExponential.cs.meta │ ├── RandomGaussian.cs │ ├── RandomGaussian.cs.meta │ ├── RandomGeneratorInterface.cs │ ├── RandomGeneratorInterface.cs.meta │ ├── RandomHelpers.cs │ ├── RandomHelpers.cs.meta │ ├── RandomLinear.cs │ └── RandomLinear.cs.meta ├── ProjectSettings ├── AudioManager.asset ├── ClusterInputManager.asset ├── DynamicsManager.asset ├── EditorBuildSettings.asset ├── EditorSettings.asset ├── GraphicsSettings.asset ├── InputManager.asset ├── NavMeshAreas.asset ├── NetworkManager.asset ├── Physics2DSettings.asset ├── ProjectSettings.asset ├── ProjectVersion.txt ├── QualitySettings.asset ├── TagManager.asset ├── TimeManager.asset └── UnityConnectSettings.asset └── README.md /.gitignore: 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| *.msp 98 | 99 | # Windows shortcuts 100 | *.lnk 101 | 102 | # End of https://www.gitignore.io/api/linux,macos,unity,windows 103 | -------------------------------------------------------------------------------- /Assets/Voxus.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: 01d7dbaa8a0e580498e1c36135d96bbf 3 | folderAsset: yes 4 | timeCreated: 1505028231 5 | licenseType: Free 6 | DefaultImporter: 7 | userData: 8 | assetBundleName: 9 | assetBundleVariant: 10 | -------------------------------------------------------------------------------- /Assets/Voxus/Random.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: f89decebbf952c841bdd657747413710 3 | folderAsset: yes 4 | timeCreated: 1505028235 5 | licenseType: Free 6 | DefaultImporter: 7 | userData: 8 | assetBundleName: 9 | assetBundleVariant: 10 | -------------------------------------------------------------------------------- /Assets/Voxus/Random/AbstractRandom.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | using UnityEngine.Assertions; 3 | 4 | namespace Voxus.Random 5 | { 6 | public abstract class AbstractRandom : RandomGeneratorInterface 7 | { 8 | /// 9 | /// The base random number generator 10 | /// 11 | protected System.Random random = new System.Random(); 12 | 13 | /// 14 | /// Set the base random number generator's seed value (0 - 1) 15 | /// 16 | /// The seed value (0 - 1) 17 | public void SetSeed(float seed) 18 | { 19 | Assert.IsTrue((seed >= 0) && (seed <= 1), "Seed must be between 0 and 1"); 20 | 21 | // -64 is a hack to account for floating-point inaccuracy 22 | var intSeed = Mathf.FloorToInt(seed * (System.Int32.MaxValue - 64)); 23 | 24 | random = new System.Random(intSeed); 25 | } 26 | 27 | /// 28 | /// Get a random number 29 | /// 30 | /// A random number 31 | public abstract float Get(); 32 | } 33 | } 34 | -------------------------------------------------------------------------------- /Assets/Voxus/Random/AbstractRandom.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: aa32fb0b7cfbcf643b09c44afbfea1b4 3 | timeCreated: 1505028328 4 | licenseType: Free 5 | MonoImporter: 6 | serializedVersion: 2 7 | defaultReferences: [] 8 | executionOrder: 0 9 | icon: {instanceID: 0} 10 | userData: 11 | assetBundleName: 12 | assetBundleVariant: 13 | -------------------------------------------------------------------------------- /Assets/Voxus/Random/Examples.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: fcf42cf9f939ce548a051e1bd36f9815 3 | folderAsset: yes 4 | timeCreated: 1505028747 5 | licenseType: Free 6 | DefaultImporter: 7 | userData: 8 | assetBundleName: 9 | assetBundleVariant: 10 | -------------------------------------------------------------------------------- /Assets/Voxus/Random/Examples/Example1.cs: -------------------------------------------------------------------------------- 1 | using System.Collections.Generic; 2 | using System.Linq; 3 | using UnityEngine; 4 | 5 | namespace Voxus.Random.Examples 6 | { 7 | public class Example1 : MonoBehaviour 8 | { 9 | [Header("Graph Settings")] 10 | [SerializeField, Range(0.01f, 1)] 11 | private float graphPrecision = 0.1f; 12 | [SerializeField, Range(1000, 500000)] 13 | private int graphIterations = 100000; 14 | 15 | [Header("Linear Distribution")] 16 | [SerializeField, Range(-10, 10)] 17 | private float linearMin = 0; 18 | [SerializeField, Range(-10, 10)] 19 | private float linearMax = 10; 20 | 21 | [Header("Exponential Distribution")] 22 | [SerializeField, Range(-10, 10)] 23 | private float exponentialMin = 0; 24 | [SerializeField, Range(0.01f, 10)] 25 | private float exponentialLambda = 0.5f; 26 | 27 | [Header("Gaussian Distribution")] 28 | [SerializeField, Range(0, 10)] 29 | private float gaussianSigma = 1; 30 | [SerializeField, Range(-10, 10)] 31 | private float gaussianMu = 0; 32 | 33 | private float lastGraphPrecision; 34 | private float lastGraphIterations; 35 | 36 | private float lastLinearMin; 37 | private float lastLinearMax; 38 | 39 | private float lastExponentialMin; 40 | private float lastExponentialLambda; 41 | 42 | private float lastGaussianSigma; 43 | private float lastGaussianMu; 44 | 45 | private LineRenderer linearRenderer; 46 | private LineRenderer exponentialRenderer; 47 | private LineRenderer gaussianRenderer; 48 | 49 | private void Start() 50 | { 51 | linearRenderer = CreateGraph("Linear", Color.red); 52 | exponentialRenderer = CreateGraph("Exponential", Color.green); 53 | gaussianRenderer = CreateGraph("Gaussian", Color.blue); 54 | } 55 | 56 | private LineRenderer CreateGraph(string name, Color color) 57 | { 58 | var container = new GameObject(name); 59 | var lineRenderer = container.AddComponent(); 60 | var material = new Material(Shader.Find("Transparent/Diffuse")); 61 | 62 | material.color = color; 63 | lineRenderer.widthMultiplier = 0.05f; 64 | lineRenderer.material = material; 65 | 66 | return lineRenderer; 67 | } 68 | 69 | private void Update() 70 | { 71 | var graphHasChanged = (lastGraphPrecision != graphPrecision) || (lastGraphIterations != graphIterations); 72 | var linearHasChanged = (lastLinearMin != linearMin) || (lastLinearMax != linearMax) || graphHasChanged; 73 | var exponentialHasChanged = (lastExponentialMin != exponentialMin) || (lastExponentialLambda != exponentialLambda) || graphHasChanged; 74 | var gaussianHasChanged = (lastGaussianSigma != gaussianSigma) || (lastGaussianMu != gaussianMu) || graphHasChanged; 75 | 76 | if (graphHasChanged) 77 | { 78 | lastGraphPrecision = graphPrecision; 79 | lastGraphIterations = graphIterations; 80 | } 81 | 82 | if (linearHasChanged) 83 | { 84 | DrawDistribution(new RandomLinear(linearMin, linearMax), linearRenderer); 85 | 86 | lastLinearMin = linearMin; 87 | lastLinearMax = linearMax; 88 | } 89 | 90 | if (exponentialHasChanged) 91 | { 92 | DrawDistribution(new RandomExponential(exponentialMin, exponentialLambda), exponentialRenderer); 93 | 94 | lastExponentialMin = exponentialMin; 95 | lastExponentialLambda = exponentialLambda; 96 | } 97 | 98 | if (gaussianHasChanged) 99 | { 100 | DrawDistribution(new RandomGaussian(gaussianSigma, gaussianMu), gaussianRenderer); 101 | 102 | lastGaussianSigma = gaussianSigma; 103 | lastGaussianMu = gaussianMu; 104 | } 105 | } 106 | 107 | private void DrawDistribution(RandomGeneratorInterface generator, LineRenderer lineRenderer) 108 | { 109 | var buckets = GetDistribution(generator); 110 | var positions = new List(); 111 | var numBuckets = buckets.Count; 112 | var minX = buckets.Keys.Min() + 1; 113 | var maxX = buckets.Keys.Max() - 1; 114 | var maxY = (float)buckets.Values.Max(); 115 | 116 | for (var i = minX; i < 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assetBundleName: 8 | assetBundleVariant: 9 | -------------------------------------------------------------------------------- /Assets/Voxus/Random/RandomExponential.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | 3 | namespace Voxus.Random 4 | { 5 | /// 6 | /// Get a random number with an exponential distribution 7 | /// 8 | public class RandomExponential : AbstractRandom 9 | { 10 | /// 11 | /// The minimum value 12 | /// 13 | private float min; 14 | 15 | /// 16 | /// The rate parameter (1 / expectation) 17 | /// 18 | private float lambda; 19 | 20 | /// 21 | /// Get a random number with an exponential distribution 22 | /// See https://en.wikipedia.org/wiki/Exponential_distribution 23 | /// 24 | /// The minimum value 25 | /// Rate paramter (1 / expectation) 26 | public RandomExponential(float min = 0, float lambda = 1) 27 | { 28 | this.min = min; 29 | this.lambda = lambda; 30 | } 31 | 32 | /// 33 | /// Get a random number with an exponential distribution 34 | /// 35 | /// A value between 0 and 1 to fit to the distribution 36 | /// A random number 37 | public override float Get() 38 | { 39 | return min + (Mathf.Log(1 - (float)random.NextDouble()) / -lambda); 40 | } 41 | } 42 | } 43 | -------------------------------------------------------------------------------- /Assets/Voxus/Random/RandomExponential.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: 784453ce3fcab194cbdbb193e8bbc870 3 | timeCreated: 1505028328 4 | licenseType: Free 5 | MonoImporter: 6 | serializedVersion: 2 7 | defaultReferences: [] 8 | executionOrder: 0 9 | icon: {instanceID: 0} 10 | userData: 11 | assetBundleName: 12 | assetBundleVariant: 13 | -------------------------------------------------------------------------------- /Assets/Voxus/Random/RandomGaussian.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | 3 | namespace Voxus.Random 4 | { 5 | /// 6 | /// Get a random number with a Gaussian distribution 7 | /// 8 | public class RandomGaussian : AbstractRandom 9 | { 10 | /// 11 | /// Standard deviation 12 | /// 13 | private float sigma; 14 | 15 | /// 16 | /// Mean (expectation) value 17 | /// 18 | private float mu; 19 | 20 | /// 21 | /// Generate random numbers with a Gaussian distribution 22 | /// See https://en.wikipedia.org/wiki/Normal_distribution 23 | /// 24 | /// The standard deviation 25 | /// The mean (expectation) value 26 | public RandomGaussian(float sigma = 1, float mu = 0) 27 | { 28 | this.sigma = sigma; 29 | this.mu = mu; 30 | } 31 | 32 | /// 33 | /// Get a random number with a Gaussian distribution 34 | /// 35 | /// A random number 36 | public override float Get() 37 | { 38 | float x1, x2, w, y1; //, y2; 39 | 40 | do 41 | { 42 | x1 = 2f * (float)random.NextDouble() - 1f; 43 | x2 = 2f * (float)random.NextDouble() - 1f; 44 | w = x1 * x1 + x2 * x2; 45 | } while (w >= 1f); 46 | 47 | w = Mathf.Sqrt((-2f * Mathf.Log(w)) / w); 48 | y1 = x1 * w; 49 | // y2 = x2 * w; 50 | 51 | return (y1 * sigma) + mu; 52 | } 53 | } 54 | } 55 | -------------------------------------------------------------------------------- /Assets/Voxus/Random/RandomGaussian.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: a19ae00483e4acf4fa271b0ce1b3f72c 3 | timeCreated: 1505028328 4 | licenseType: Free 5 | MonoImporter: 6 | serializedVersion: 2 7 | defaultReferences: [] 8 | executionOrder: 0 9 | icon: {instanceID: 0} 10 | userData: 11 | assetBundleName: 12 | assetBundleVariant: 13 | -------------------------------------------------------------------------------- /Assets/Voxus/Random/RandomGeneratorInterface.cs: -------------------------------------------------------------------------------- 1 | namespace Voxus.Random 2 | { 3 | /// 4 | /// Interface for random number generators 5 | /// 6 | interface RandomGeneratorInterface 7 | { 8 | /// 9 | /// Get a random number 10 | /// 11 | /// A random number 12 | float Get(); 13 | 14 | /// 15 | /// Set the base random number generator's seed value 16 | /// 17 | /// The seed value (0 - 1) 18 | void SetSeed(float seed); 19 | } 20 | } 21 | -------------------------------------------------------------------------------- /Assets/Voxus/Random/RandomGeneratorInterface.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | guid: 32fe28d2e9af1404599e4b18f8b78503 3 | timeCreated: 1505028328 4 | licenseType: Free 5 | MonoImporter: 6 | serializedVersion: 2 7 | defaultReferences: [] 8 | executionOrder: 0 9 | icon: {instanceID: 0} 10 | userData: 11 | assetBundleName: 12 | assetBundleVariant: 13 | -------------------------------------------------------------------------------- /Assets/Voxus/Random/RandomHelpers.cs: -------------------------------------------------------------------------------- 1 | using UnityEngine; 2 | 3 | namespace Voxus.Random 4 | { 5 | /// 6 | /// Random helpers 7 | /// 8 | public static class RandomHelpers 9 | { 10 | /// 11 | /// Return a number between min (inclusive) and max (exclusive) 12 | /// 13 | /// A random number between 0 and 1 (exclusive) 14 | /// The inclusive minimum of the range 15 | /// The exclusive maximum of the range 16 | /// A random number between min (inclusive) and max (exclusive) 17 | public static int Range(float random, int min, int max) 18 | { 19 | return (int)(random * (max - min)) + min; 20 | } 21 | 22 | /// 23 | /// Convert two linearly distributed numbers between 0 and 1 to a point on a unit sphere (radius = 1) 24 | /// 25 | /// Linearly distributed random number between 0 and 1 26 | /// Linearly distributed random number between 0 and 1 27 | /// A cartesian point on the unit sphere 28 | public static Vector3 OnUnitSphere(float random1, float random2) 29 | { 30 | var theta = random1 * 2 * Mathf.PI; 31 | var phi = Mathf.Acos((2 * random2) - 1); 32 | 33 | // Convert from spherical coordinates to Cartesian 34 | var sinPhi = Mathf.Sin(phi); 35 | 36 | var x = sinPhi * Mathf.Cos(theta); 37 | var y = sinPhi * Mathf.Sin(theta); 38 | var z = Mathf.Cos(phi); 39 | 40 | return new Vector3(x, y, z); 41 | } 42 | 43 | /// 44 | /// Get a random point on a unit sphere (radius = 1) 45 | /// 46 | /// Linearl random number generator 47 | /// A cartesian point on the unit sphere 48 | public static Vector3 OnUnitSphere(RandomLinear randomGenerator) 49 | { 50 | var random1 = randomGenerator.Get(); 51 | var random2 = randomGenerator.Get(); 52 | 53 | return OnUnitSphere(random1, random2); 54 | } 55 | } 56 | } 57 | -------------------------------------------------------------------------------- /Assets/Voxus/Random/RandomHelpers.cs.meta: -------------------------------------------------------------------------------- 1 | fileFormatVersion: 2 2 | 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-------------------------------------------------------------------------------- /ProjectSettings/TimeManager.asset: -------------------------------------------------------------------------------- 1 | %YAML 1.1 2 | %TAG !u! tag:unity3d.com,2011: 3 | --- !u!5 &1 4 | TimeManager: 5 | m_ObjectHideFlags: 0 6 | Fixed Timestep: 0.02 7 | Maximum Allowed Timestep: 0.33333334 8 | m_TimeScale: 1 9 | Maximum Particle Timestep: 0.03 10 | -------------------------------------------------------------------------------- /ProjectSettings/UnityConnectSettings.asset: -------------------------------------------------------------------------------- 1 | %YAML 1.1 2 | %TAG !u! tag:unity3d.com,2011: 3 | --- !u!310 &1 4 | UnityConnectSettings: 5 | m_ObjectHideFlags: 0 6 | m_Enabled: 0 7 | m_TestMode: 0 8 | m_TestEventUrl: 9 | m_TestConfigUrl: 10 | m_TestInitMode: 0 11 | CrashReportingSettings: 12 | m_EventUrl: https://perf-events.cloud.unity3d.com/api/events/crashes 13 | m_Enabled: 0 14 | m_CaptureEditorExceptions: 1 15 | UnityPurchasingSettings: 16 | m_Enabled: 0 17 | m_TestMode: 0 18 | UnityAnalyticsSettings: 19 | m_Enabled: 0 20 | m_InitializeOnStartup: 1 21 | m_TestMode: 0 22 | m_TestEventUrl: 23 | m_TestConfigUrl: 24 | UnityAdsSettings: 25 | m_Enabled: 0 26 | m_InitializeOnStartup: 1 27 | m_TestMode: 0 28 | m_EnabledPlatforms: 4294967295 29 | m_IosGameId: 30 | m_AndroidGameId: 31 | m_GameIds: {} 32 | m_GameId: 33 | PerformanceReportingSettings: 34 | m_Enabled: 0 35 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Random Distributions for Unity 2 | 3 | * [Overview](#overview) 4 | * [Usage](#usage) 5 | * [Seeding](#seeding) 6 | * [Helpers](#helpers) 7 | 8 | ![sample-distributions](https://user-images.githubusercontent.com/702158/30249771-e2517dda-963a-11e7-9723-60d7a0bdfc8b.png) 9 | 10 | ## Overview 11 | This asset is designed to make it easy to produce random numbers with a given distribution. 12 | It allows you to create independent, seedable generators. 13 | 14 | ## Usage 15 | 16 | The available classes are: 17 | 18 | 1. `RandomLinear(min, max)` - Use a linear distribution, i.e. all values are equally likely 19 | `min`: The minimum value 20 | `max`: The maximum value 21 | 22 | 2. `RandomExponential(min, lambda)` - Use an [exponential distribution](https://en.wikipedia.org/wiki/Exponential_distribution) - higher values are exponentially less likely 23 | `min`: The minimum value 24 | `lambda`: The rate parameter (1 / expectation) 25 | 26 | 3. `RandomGaussian(sigma, mu)` - Use a [Gaussian or Normal distribution](https://en.wikipedia.org/wiki/Normal_distribution) - values' probabability drops off with distance from the centre 27 | `sigma`: The standard deviation; a measure of the width of the peak 28 | `mu`: The mean (expectation) value; the centre of the peak 29 | 30 | ```c# 31 | using Voxus.Random; 32 | 33 | var myGenerator = new RandomLinear(0, 100); 34 | 35 | // Get a random float between 1 and 100 36 | var randomNumber = myGenerator.Get(); 37 | ``` 38 | 39 | ## Seeding 40 | All the supplied generators have a `SetSeed()` method that can be used to seed each generator independently. 41 | This is especially useful for something like procedural generation. 42 | 43 | ## Helpers 44 | There's also a `RandomHelpers` class which provides `Range()` to convert a `float` between 0 - 1 to an `int` in a range (for example, to get a random element from an array) and `OnUnitSphere()` to get a point on a unit sphere using `RandomLinear` (which allows seeding, unlike Unity's built-in method). 45 | 46 | ```c# 47 | using Voxus.Random; 48 | 49 | var myGenerator = new RandomLinear(0, 1); 50 | 51 | // Set a seed (optional) 52 | myGenerator.SetSeed(0.12345f); 53 | 54 | // Get a random element from an array 55 | var randomEntry = myArray[RandomHelpers.Range(myGenerator.Get(), 0, myArray.Length)]; 56 | 57 | // Get a random point on a unit sphere 58 | var randomPoint = Helpers.OnUnitSphere(myGenerator); 59 | ``` 60 | --------------------------------------------------------------------------------