net.sf.oriented.omi

Class Alternating

java.lang.Object

net.sf.oriented.omi.Alternating

All Implemented Interfaces:

Chirotope, FullChirotope

public class Alternating
extends Object
implements FullChirotope

Implements an alternating function over a non-alternating one.

Author:

jeremy

Constructor Summary

Constructors

Constructor and Description
Alternating(Chirotope base) We pass in a map that is not necessarily alternating, and we get back one that is.

Method Summary

Methods

Modifier and Type	Method and Description
int	chi(int... x) The alternating map.
int	n() The number of elements on which this Chirotope is defined
int	rank() Must be a positive integer, which is constant for each object implementing this interface.
static int	sign(int... x) What is the sign of the permutation that sorts the values in x.

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Alternating

public Alternating(Chirotope base)

We pass in a map that is not necessarily alternating, and we get back one that is.

Parameters:

base -

Method Detail

chi

public int chi(int... x)

Description copied from interface: FullChirotope

The alternating map. This is only called when it has Chirotope.rank() arguments. They do not have to be monotonic increasing.

Specified by:

chi in interface Chirotope

Specified by:

chi in interface FullChirotope

Parameters:

x - an array of Chirotope.rank() values between 0 and Chirotope.n() - 1.

Returns:

-1, 0 or 1

See Also:

which is not as restricted.

rank

public int rank()

Description copied from interface: Chirotope

Must be a positive integer, which is constant for each object implementing this interface.

Specified by:

rank in interface Chirotope

Returns:

The rank associated with this chirotope.

n

public int n()

Description copied from interface: Chirotope

The number of elements on which this Chirotope is defined

Specified by:

n in interface Chirotope

Returns:

The number of elements on which this Chirotope is defined

sign

public static int sign(int... x)

What is the sign of the permutation that sorts the values in x.

Parameters:

x - A list of non-negative integers

Returns:

0 If the x are not all distinct, otherwise the sign of the permutation.