Class SquareEuclidean

Square-Euclidean distance and similarity. Please note that this distance is not a metric as it doesn't obey the triangle inequality.
Inheritance
System.Object
SquareEuclidean
Implements
IDistance<System.Double[]>
IDistance<System.Double[], System.Double[]>
ISimilarity<System.Double[]>
ISimilarity<System.Double[], System.Double[]>
IDistance<System.Double>
IDistance<System.Double, System.Double>
ISimilarity<System.Double>
ISimilarity<System.Double, System.Double>
IDistance<Sparse<System.Double>>
IDistance<Sparse<System.Double>, Sparse<System.Double>>
ISimilarity<Sparse<System.Double>>
ISimilarity<Sparse<System.Double>, Sparse<System.Double>>
System.ICloneable
Inherited Members
System.Object.Equals(System.Object)
System.Object.Equals(System.Object, System.Object)
System.Object.GetHashCode()
System.Object.GetType()
System.Object.MemberwiseClone()
System.Object.ReferenceEquals(System.Object, System.Object)
System.Object.ToString()
Namespace: Mars.Numerics.Distances
Assembly: Mars.Numerics.dll
Syntax
[Serializable]
public class SquareEuclidean : IDistance<double[]>, IDistance<double[], double[]>, ISimilarity<double[]>, ISimilarity<double[], double[]>, IDistance<double>, IDistance<double, double>, ISimilarity<double>, ISimilarity<double, double>, IDistance<Sparse<double>>, IDistance<Sparse<double>, Sparse<double>>, ISimilarity<Sparse<double>>, ISimilarity<Sparse<double>, Sparse<double>>, ICloneable

Methods

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Clone()

Creates a new object that is a copy of the current instance.
Declaration
public object Clone()
Returns
Type Description
System.Object A new object that is a copy of this instance.
See Also
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Distance(Sparse<Double>, Sparse<Double>)

Computes the distance d(x,y) between points x and y.
Declaration
public double Distance(Sparse<double> x, Sparse<double> y)
Parameters
Type Name Description
Sparse<System.Double> x The first point x.
Sparse<System.Double> y The second point y.
Returns
Type Description
System.Double A double-precision value representing the distance d(x,y) between x and y according to the distance function implemented by this class.
See Also
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Distance(Double, Double, Double, Double)

Gets the Square Euclidean distance between two points.
Declaration
public double Distance(double x1, double y1, double x2, double y2)
Parameters
Type Name Description
System.Double x1 The first coordinate of first point in space.
System.Double y1 The second coordinate of first point in space.
System.Double x2 The first coordinate of second point in space.
System.Double y2 The second coordinate of second point in space.
Returns
Type Description
System.Double The Square Euclidean distance between x and y.
See Also
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Distance(Double, Double)

Computes the distance d(x,y) between points x and y.
Declaration
public double Distance(double x, double y)
Parameters
Type Name Description
System.Double x The first point x.
System.Double y The second point y.
Returns
Type Description
System.Double A double-precision value representing the distance d(x,y) between x and y according to the distance function implemented by this class.
See Also
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Distance(Double[], Double[])

Computes the distance d(x,y) between points x and y.
Declaration
public double Distance(double[] x, double[] y)
Parameters
Type Name Description
System.Double[] x The first point x.
System.Double[] y The second point y.
Returns
Type Description
System.Double A double-precision value representing the distance d(x,y) between x and y according to the distance function implemented by this class.
See Also
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Similarity(Sparse<Double>, Sparse<Double>)

Gets a similarity measure between two points.
Declaration
public double Similarity(Sparse<double> x, Sparse<double> y)
Parameters
Type Name Description
Sparse<System.Double> x The first point to be compared.
Sparse<System.Double> y The second point to be compared.
Returns
Type Description
System.Double A similarity measure between x and y.
See Also
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Similarity(Double, Double)

Gets a similarity measure between two points.
Declaration
public double Similarity(double x, double y)
Parameters
Type Name Description
System.Double x The first point to be compared.
System.Double y The second point to be compared.
Returns
Type Description
System.Double A similarity measure between x and y.
See Also
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Similarity(Double[], Double[])

Gets a similarity measure between two points.
Declaration
public double Similarity(double[] x, double[] y)
Parameters
Type Name Description
System.Double[] x The first point to be compared.
System.Double[] y The second point to be compared.
Returns
Type Description
System.Double A similarity measure between x and y.
See Also
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Sparse(Sparse<Double>, Sparse<Double>)

Computes the distance d(x,y) between points x and y.
Declaration
public static double Sparse(Sparse<double> x, Sparse<double> y)
Parameters
Type Name Description
Sparse<System.Double> x The first point x.
Sparse<System.Double> y The second point y.
Returns
Type Description
System.Double A double-precision value representing the distance d(x,y) between x and y according to the distance function implemented by this class.
See Also

Implements

System.ICloneable

Extension Methods

See Also