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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
    • FormatEncoderAttribute
    • FormatHandlerAttribute
    • IntegerAttribute
    • NegativeIntegerAttribute
    • NonnegativeIntegerAttribute
    • NonpositiveIntegerAttribute
    • PositiveIntegerAttribute
  • Mars.Common.Data
    • DomainDataImporter
  • Mars.Common.Data.Providers
    • AscDataProvider
    • GeoJsonFeatureCollectionConverter
    • GeoJsonFeatureConverter
    • GeoJsonHelper
    • GeometryDataProvider
    • GraphMlProvider
    • HttpDataProvider
    • IDataProvider<TInput>
    • JsonFileDataProvider
    • JsonTextDataProvider
    • XmlFileDataProvider
    • XmlTextDataProvider
  • Mars.Common.Exceptions
    • DimensionMismatchException
    • ParseException
  • Mars.Common.IO
    • ExtensionMethods
    • FileClientUtils
    • FileKeys
    • HttpClientUtils
    • ObjectSerialize
    • Serializer
    • SerializerCompression
    • SparseFormat
    • SparseReader
    • 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
    • ParseErrorAction
    • 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
    • MappedAccessorUInt32
    • 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
    • CloseStatusCode
    • CompressionMethod
    • ErrorEventArgs
    • Ext
    • MessageEventArgs
    • WebSocket
    • WebSocketException
    • WebSocketState
  • Mars.Common.Socket.Server
    • IWebSocketSession
    • WebHeaderCollection
    • WebSocketBehavior
    • WebSocketContext
    • WebSocketServer
    • WebSocketServiceHost
    • WebSocketServiceManager
    • WebSocketSessionManager
  • Mars.Numerics
    • Classes
    • Combinatorics
    • Constants
    • Distance
    • Elementwise
    • Jagged
    • MathematicsException
    • MathHelper
    • Matrix
    • MatrixOrder
    • MatrixType
    • Norm
    • Sort
    • Sorting
    • Sparse
    • Sparse<T>
    • Tools
    • Vector
    • VectorHelper
    • VectorType
  • Mars.Numerics.Comparers
    • ArrayComparer<T>
    • ComparerDirection
    • CustomComparer<T>
    • ElementComparer
    • ElementComparer<T>
    • GeneralComparer
    • StableComparer<T>
  • Mars.Numerics.Distances
    • Angular
    • Chebyshev
    • Cosine
    • Dirac<T>
    • Euclidean
    • Hamming
    • Hamming<T>
    • Haversine
    • Jaccard
    • Jaccard<T>
    • Kulczynski
    • Levenshtein
    • Levenshtein<T>
    • Manhattan
    • Matching
    • Minkowski
    • SquareEuclidean
    • Vincenty
    • Vincenty.Ellipsoid
  • 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
    • IMatrixFormatProvider
    • MatrixFormatProviderBase
    • MatrixFormatter
    • OctaveMatrixFormatProvider
  • Mars.Numerics.Ranges
    • ByteRange
    • DoubleRange
    • 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

Interface IDistance<T>

Common interface for distance functions (not necessarily metrics).
Inherited Members
IDistance<T, T>.Distance(T, T)
Namespace: Mars.Numerics.Distances.Base
Assembly: Mars.Numerics.dll
Syntax
public interface IDistance<in T> : IDistance<T, T>
Type Parameters
Name Description
T The type of the elements to be compared.
Remarks

The framework distinguishes between metrics and distances by using different types for them. This makes it possible to let the compiler figure out logic problems such as the specification of a non-metric for a method that requires a proper metric (i.e. that respects the triangle inequality).

The objective of this technique is to make it harder to make some mistakes. However, it is generally possible to bypass this mechanism by using named constructors available at each of the classes, such as Minkowski's method, to create distances implementing the IMetric<T> interface that are not really metrics. Use at your own risk.

Extension Methods

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

See Also

IDistance<T>
IDistance<TFirst, TSecond>
IMetric<T>
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