de.lmu.ifi.dbs.elki.distance.distancefunction.minkowski

Class LPIntegerNormDistanceFunction

java.lang.Object

de.lmu.ifi.dbs.elki.distance.distancefunction.minkowski.LPNormDistanceFunction

de.lmu.ifi.dbs.elki.distance.distancefunction.minkowski.LPIntegerNormDistanceFunction

All Implemented Interfaces:

DistanceFunction<NumberVector>, Norm<NumberVector>, NumberVectorDistanceFunction<NumberVector>, PrimitiveDistanceFunction<NumberVector>, SpatialPrimitiveDistanceFunction<NumberVector>

Direct Known Subclasses:

EuclideanDistanceFunction, ManhattanDistanceFunction

public class LPIntegerNormDistanceFunction
extends LPNormDistanceFunction

L_p-Norm for NumberVectors, optimized version for integer values of p. This will likely not have huge impact, but may vary from CPU and virtual machine version.

When using the parameterization API, LPNormDistanceFunction will automatically use this class for integer values.

The L_p distance is defined as: \[ L_p(\vec{x},\vec{y}) := \left(\sum_i (x_i-y_i)\right)^{1/p} \]

Since:

0.6.0

Author:

Erich Schubert

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	LPIntegerNormDistanceFunction.Parameterizer Parameterization class.

Field Summary

Fields

Modifier and Type	Field and Description
(package private) int	intp Integer value of p.

Fields inherited from class de.lmu.ifi.dbs.elki.distance.distancefunction.minkowski.LPNormDistanceFunction

invp, p

Constructor Summary

Constructors

Constructor and Description
LPIntegerNormDistanceFunction(int p) Constructor, internal version.

Method Summary

Modifier and Type	Method and Description
double	distance(NumberVector v1, NumberVector v2) Computes the distance between two given DatabaseObjects according to this distance function.
boolean	equals(java.lang.Object obj)
int	hashCode()
double	minDist(SpatialComparable mbr1, SpatialComparable mbr2) Computes the distance between the two given MBRs according to this distance function.
double	norm(NumberVector v) Compute the norm of object obj.
private double	preDistance(NumberVector v1, NumberVector v2, int start, int end) Compute unscaled distance in a range of dimensions.
private double	preDistanceMBR(SpatialComparable mbr1, SpatialComparable mbr2, int start, int end) Compute unscaled distance in a range of dimensions.
private double	preDistanceVM(NumberVector v, SpatialComparable mbr, int start, int end) Compute unscaled distance in a range of dimensions.
private double	preNorm(NumberVector v, int start, int end) Compute unscaled norm in a range of dimensions.
private double	preNormMBR(SpatialComparable mbr, int start, int end) Compute unscaled norm in a range of dimensions.

Methods inherited from class de.lmu.ifi.dbs.elki.distance.distancefunction.minkowski.LPNormDistanceFunction

getInputTypeRestriction, getP, isMetric, toString

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Methods inherited from interface de.lmu.ifi.dbs.elki.distance.distancefunction.SpatialPrimitiveDistanceFunction

instantiate

Methods inherited from interface de.lmu.ifi.dbs.elki.distance.distancefunction.DistanceFunction

isSquared, isSymmetric

Field Detail

intp

int intp

Integer value of p.

Constructor Detail

LPIntegerNormDistanceFunction

public LPIntegerNormDistanceFunction(int p)

Constructor, internal version.

Parameters:

p - Parameter p

Method Detail

preDistance

private double preDistance(NumberVector v1,
                           NumberVector v2,
                           int start,
                           int end)

Compute unscaled distance in a range of dimensions.

Parameters:

v1 - First object

v2 - Second object

start - First dimension

end - Exclusive last dimension

Returns:

Aggregated values.

preDistanceVM

private double preDistanceVM(NumberVector v,
                             SpatialComparable mbr,
                             int start,
                             int end)

Compute unscaled distance in a range of dimensions.

Parameters:

v - First vector

mbr - Second MBR

start - First dimension

end - Exclusive last dimension

Returns:

Aggregated values.

preDistanceMBR

private double preDistanceMBR(SpatialComparable mbr1,
                              SpatialComparable mbr2,
                              int start,
                              int end)

Compute unscaled distance in a range of dimensions.

Parameters:

mbr1 - First MBR

mbr2 - Second MBR

start - First dimension

end - Exclusive last dimension

Returns:

Aggregated values.

preNorm

private double preNorm(NumberVector v,
                       int start,
                       int end)

Compute unscaled norm in a range of dimensions.

Parameters:

v - Data object

start - First dimension

end - Exclusive last dimension

Returns:

Aggregated values.

preNormMBR

private double preNormMBR(SpatialComparable mbr,
                          int start,
                          int end)

Compute unscaled norm in a range of dimensions.

Parameters:

mbr - Data object

start - First dimension

end - Exclusive last dimension

Returns:

Aggregated values.

distance

public double distance(NumberVector v1,
                       NumberVector v2)

Description copied from interface: PrimitiveDistanceFunction

Computes the distance between two given DatabaseObjects according to this distance function.

Specified by:

distance in interface NumberVectorDistanceFunction<NumberVector>

Specified by:

distance in interface PrimitiveDistanceFunction<NumberVector>

Overrides:

distance in class LPNormDistanceFunction

Parameters:

v1 - first DatabaseObject

v2 - second DatabaseObject

Returns:

the distance between two given DatabaseObjects according to this distance function

norm

public double norm(NumberVector v)

Description copied from interface: Norm

Compute the norm of object obj.

Specified by:

norm in interface Norm<NumberVector>

Overrides:

norm in class LPNormDistanceFunction

Parameters:

v - Object

Returns:

Norm

minDist

public double minDist(SpatialComparable mbr1,
                      SpatialComparable mbr2)

Description copied from interface: SpatialPrimitiveDistanceFunction

Computes the distance between the two given MBRs according to this distance function.

Specified by:

minDist in interface SpatialPrimitiveDistanceFunction<NumberVector>

Overrides:

minDist in class LPNormDistanceFunction

Parameters:

mbr1 - the first MBR object

mbr2 - the second MBR object

Returns:

the distance between the two given MBRs according to this distance function

equals

public boolean equals(java.lang.Object obj)

Overrides:

equals in class LPNormDistanceFunction

hashCode

public int hashCode()

Overrides:

hashCode in class LPNormDistanceFunction