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

Class MaximumDistanceFunction

java.lang.Object

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

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

All Implemented Interfaces:

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

@Alias(value={"maximum","max","chebyshev","de.lmu.ifi.dbs.elki.distance.distancefunction.MaximumDistanceFunction"})
public class MaximumDistanceFunction
extends LPNormDistanceFunction

Maximum distance for NumberVectors.

The maximum distance is defined as: \[ \text{Maximum}(\vec{x},\vec{y}) := \max_i |x_i-y_i| \] and can be seen as limiting case of the LPNormDistanceFunction for \( p \rightarrow \infty \).

Since:

0.3

Author:

Erich Schubert

Nested Class Summary

Nested Classes

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

Field Summary

Fields

Modifier and Type	Field and Description
static MaximumDistanceFunction	STATIC Static instance.

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

invp, p

Constructor Summary

Constructors

Constructor and Description
MaximumDistanceFunction() Deprecated. Use static instance!

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()
boolean	isMetric() Is this distance function metric (satisfy the triangle inequality)
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)
private double	preDistanceMBR(SpatialComparable mbr1, SpatialComparable mbr2, int start, int end)
private double	preDistanceVM(NumberVector v, SpatialComparable mbr, int start, int end)
private double	preNorm(NumberVector v, int start, int end)
private double	preNormMBR(SpatialComparable mbr, int start, int end)
java.lang.String	toString()

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

getInputTypeRestriction, getP

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

STATIC

public static final MaximumDistanceFunction STATIC

Static instance.

Constructor Detail

MaximumDistanceFunction

@Deprecated
public MaximumDistanceFunction()

Deprecated. Use static instance!

Constructor - use STATIC instead.

Method Detail

preDistance

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

preDistanceVM

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

preDistanceMBR

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

preNorm

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

preNormMBR

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

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

isMetric

public boolean isMetric()

Description copied from interface: DistanceFunction

Is this distance function metric (satisfy the triangle inequality)

Specified by:

isMetric in interface DistanceFunction<NumberVector>

Overrides:

isMetric in class LPNormDistanceFunction

Returns:

true when metric.

toString

public java.lang.String toString()

Overrides:

toString in class LPNormDistanceFunction

equals

public boolean equals(java.lang.Object obj)

Overrides:

equals in class LPNormDistanceFunction

hashCode

public int hashCode()

Overrides:

hashCode in class LPNormDistanceFunction