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    • Mars.Common
      • GeoHash
      • GeoHashDecoder
      • GeohashDecodeResult
      • GeoHashEncoder
      • GeoHashPrecision
      • Hyperrectangle
      • InputHashHelper
      • PositionHelper
    • Mars.Common.Collections
      • BinaryArrayHeap<T>
      • DoubleBits
      • FibonacciHeap<T, TKey>
      • FibonacciHeapDoubleKey<T>
      • FibonacciHeapNode<T, TKey>
      • FibonacciHeapNodeDoubleKey<T>
      • HeapNode
      • IntervalSize
      • K2DTree<T>
      • K2dTreeNode<T>
      • KdTree
      • KdTree<T>
      • KdTreeBase<TNode>
      • KdTreeNode
      • KdTreeNode<T>
      • KdTreeNodeBase<TNode>
      • KdTreeNodeCollection<TNode>
      • KdTreeNodeList<T>
      • Key
      • Node<T>
      • NodeBase<T>
      • NodeDataContainer<T>
      • NodeDistance<TNode>
      • QuadTree<T>
      • Root<T>
      • TreeDataContainer<T>
    • Mars.Common.Collections.CritBit
      • ICritBitTree<TValue>
    • Mars.Common.Collections.Graph
      • EdgeData
      • GraphData
      • GraphSerializer
      • ISpatialGraph
      • KeyContainer
      • NodeData
      • SpatialGraph
      • SpatialGraphHelper
    • Mars.Common.Collections.Graph.Algorithms
      • AStar
      • CompressedPathDatabase
      • ContractionSearch
      • DepthLimitedTraversal
    • Mars.Common.Collections.Graph.Helper
      • INodeFinder
      • KdTreeNodeFinder
      • RunLengthEncoder
    • Mars.Common.Collections.KNNGraph
      • DefaultRandomGenerator
      • DistanceUtils
      • EventSources
      • EventSources.GraphBuildEventSource
      • EventSources.GraphSearchEventSource
      • IProgressReporter
      • IProvideRandomValues
      • KnnGraph<TItem, TDistance>
      • KnnGraph<TItem, TDistance>.KnnSearchResult
      • KnnGraph<TItem, TDistance>.Parameters
      • Node
      • ReverseComparer<T>
      • ReverseComparerExtensions
      • SelectionKind
      • TravelingCosts<TItem, TDistance>
    • Mars.Common.Compat
      • FormatDecoderAttribute
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      • NegativeIntegerAttribute
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      • NonpositiveIntegerAttribute
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    • Mars.Common.Data
      • DomainDataImporter
    • Mars.Common.Data.Providers
      • AscDataProvider
      • GeoJsonFeatureCollectionConverter
      • GeoJsonFeatureConverter
      • GeometryDataProvider
      • GraphMlProvider
      • HttpDataProvider
      • IDataProvider<TInput>
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      • XmlFileDataProvider
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    • Mars.Common.Exceptions
      • DimensionMismatchException
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    • Mars.Common.IO
      • ExtensionMethods
      • FileClientUtils
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      • ObjectSerialize
      • Serializer
      • SerializerCompression
      • SparseFormat
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      • SparseWriter
    • Mars.Common.IO.Attributes
      • SerializationBinderAttribute
      • SurrogateSelectorAttribute
    • Mars.Common.IO.Console
      • ChildProgressBar
      • IProgressBar
      • ProgressBar
      • ProgressBarBase
      • ProgressBarHeight
      • ProgressBarOptions
      • ProgressBarSimple
    • Mars.Common.IO.Csv
      • CsvAnalyzer
      • CsvReader
      • CsvReader.RecordEnumerator
      • CsvWriter
      • MissingFieldAction
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      • ValueTrimmingOptions
    • Mars.Common.IO.Events
      • ParseErrorEventArgs
    • Mars.Common.IO.Exceptions
      • MalformedCsvException
      • MissingFieldCsvException
    • Mars.Common.IO.Mapped
      • Context
      • DefaultArrayFactory
      • Extensions
      • IArrayFactory
      • ISerializableToStream
      • MappedAccessor<T>
      • MemoryMap
      • MemoryMap.CreateAccessorFunc<T>
      • MemoryMap.ReadFromDelegate<T>
      • MemoryMap.WriteToDelegate<T>
      • MemoryMapDelegates
      • MemoryMapDelegates.CreateAccessorFunc<T>
      • MemoryMapStream
    • Mars.Common.IO.Mapped.Accessors
      • MappedAccessorByte
      • MappedAccessorDouble
      • MappedAccessorInt16
      • MappedAccessorInt32
      • MappedAccessorInt64
      • MappedAccessorSingle
      • MappedAccessorUInt16
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      • MappedAccessorUInt64
      • MappedAccessorVariable<T>
    • Mars.Common.IO.Mapped.Arrays
      • Array<T>
      • ArrayBase<T>
      • ArrayProfile
      • MappedArray<TMapped, T>
      • MappedArray<TMapped, T>.MapFrom
      • MappedArray<TMapped, T>.MapTo
      • MemoryArray<T>
      • VariableArray<T>
    • Mars.Common.IO.Mapped.Collections
      • MemoryBackedDictionary<TKey, TValue>
      • MemoryBackedList<T>
    • Mars.Common.IO.Mapped.Indexes
      • Index<T>
    • Mars.Common.IO.Mapped.Streams
      • CappedStream
    • Mars.Common.Socket
      • ByteOrder
      • CloseEventArgs
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      • CompressionMethod
      • ErrorEventArgs
      • Ext
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      • WebSocketException
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    • Mars.Common.Socket.Server
      • IWebSocketSession
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    • Mars.Numerics
      • Classes
      • Combinatorics
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      • MatrixOrder
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    • Mars.Numerics.Comparers
      • ArrayComparer<T>
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    • Mars.Numerics.Distances
      • Angular
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    • Mars.Numerics.Distances.Base
      • IDistance<T>
      • IDistance<TFirst, TSecond>
      • IMetric<T>
      • ISimilarity<T, TU>
      • ISimilarity<T>
    • Mars.Numerics.Exceptions
      • DimensionMismatchException
      • NonPositiveDefiniteMatrixException
      • SingularMatrixException
    • Mars.Numerics.Formats
      • DefaultMatrixFormatProvider
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      • MatrixFormatProviderBase
      • MatrixFormatter
      • OctaveMatrixFormatProvider
    • Mars.Numerics.Ranges
      • ByteRange
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      • FloatRange
      • IntRange
      • IRange<T>
    • Mars.Numerics.Statistics
      • ConstValueDistribution<T>
      • Distribution<T>
      • FastGaussianDistributionD
      • FastGaussianDistributionF
      • IDistribution
      • UniformDiscreteDistribution
      • UniformDistributionD
      • UniformDistributionF
    • Mars.Numerics.Statistics.Base
      • BinarySearch
      • DistributionBase
      • ISampleableDistribution<TObservations>
      • IUnivariateDistribution
      • IUnivariateDistribution<TObservation>
      • UnivariateDiscreteDistribution

    Class FastGaussianDistributionD

    Creates random values using an approximate Gaussian distribution (double-precision).
    Inheritance
    System.Object
    Distribution<System.Double>
    FastGaussianDistributionD
    Namespace: Mars.Numerics.Statistics
    Assembly: Mars.Numerics.dll
    Syntax
    public class FastGaussianDistributionD : Distribution<double>
    Remarks

    Gaussian distribution is also known as Normal distribution.

    The random values generated by this class follow only an approximate Gaussian distribution. The distribution curve can be imagined as a typical Gaussian bell curve within +/- 3 standard deviations. All random values lie in the interval [ExpectedValue - 3 * StandardDeviation, ExpectedValue + 3 * StandardDeviation]. No random values outside the +/- 3 standard deviation interval are returned.

    This approximation is faster and makes the random values more controllable for game applications. For example, if in a game tree heights are determined using a real Gaussian distribution with an expected value of 10m and a standard deviation of 1m, then most trees will have a height near 10m. But it would also be possible - unlikely but possible - that a tree with height 30m is generated. This would look very odd. Therefore, it is desirable that the created random values do not exceed 3 standard deviations.

    Constructors

    FastGaussianDistributionD()

    Initializes a new instance of the FastGaussianDistributionD class.
    Declaration
    public FastGaussianDistributionD()

    FastGaussianDistributionD(Double, Double)

    Initializes a new instance of the FastGaussianDistributionF class.
    Declaration
    public FastGaussianDistributionD(double expectedValue, double standardDeviation)
    Parameters
    Type Name Description
    System.Double expectedValue The expected value.
    System.Double standardDeviation The standard deviation.

    Properties

    ExpectedValue

    Gets or sets the expected value.
    Declaration
    public double ExpectedValue { get; set; }
    Property Value
    Type Description
    System.Double The expected value. The default is 0.

    StandardDeviation

    Gets or sets the standard deviation.
    Declaration
    public double StandardDeviation { get; set; }
    Property Value
    Type Description
    System.Double The standard deviation. The default is 1.

    Methods

    Next(FastRandom)

    Declaration
    public override double Next(FastRandom random)
    Parameters
    Type Name Description
    Mars.Common.Core.Random.FastRandom random
    Returns
    Type Description
    System.Double
    Overrides
    Mars.Numerics.Statistics.Distribution<System.Double>.Next(Mars.Common.Core.Random.FastRandom)

    Next(FastRandom, Double, Double)

    Declaration
    public double Next(FastRandom random, double expectedValue, double standardDeviation)
    Parameters
    Type Name Description
    Mars.Common.Core.Random.FastRandom random
    System.Double expectedValue
    System.Double standardDeviation
    Returns
    Type Description
    System.Double

    Extension Methods

    DomainDataImporter.Import(Object, InputConfiguration)
    ObjectSerialize.Serialize(Object)
    Serializer.Save<T>(T, Stream, SerializerCompression)
    Serializer.Save<T>(T, BinaryFormatter, Stream, SerializerCompression)
    Serializer.Save<T>(T, String)
    Serializer.Save<T>(T, String, SerializerCompression)
    Serializer.Save<T>(T, out Byte[], SerializerCompression)
    Matrix.Replace<T>(T, Object, Object)
    Matrix.IsEqual(Object, Object, Decimal, Decimal)
    Matrix.Concatenate<T>(T, T[])
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