Function
Class FiniteAbelianFunction

java.lang.Object
  Function.Function
      Function.FiniteAbelianFunction

public abstract class FiniteAbelianFunction
extends Function

An abstract extension to class Function, for describing functions over a finite Abelian group G → C.

Author:

Elizabeth Firman and Ariel Stolerman

Constructor Summary

FiniteAbelianFunction(long[][] G)
Constructs a Function object over G -> C for the given parameter G.

Method Summary

double	calcEuclideanNorm() Returns the Euclidean norm of this function over G.
double	calcInfinityNorm() Returns the infinity norm of this function over G.
long[][]	getG() Returns the vector of values describing G, the domain of the function.
abstract Complex	getValue(long elem) Returns the value of the function for the input element in G.
void	setG(long[][] G) Sets G to a new value.

Methods inherited from class java.lang.Object

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

Constructor Detail

FiniteAbelianFunction

public FiniteAbelianFunction(long[][] G)
                      throws FunctionException

Constructs a Function object over G -> C for the given parameter G.

Parameters:

G - A vector of values describing G, i.e. a finite Abelian group described by (gj,Nj) j=1,...,k, the domain of the function. In each G[i], the first coordinate is the generator and the second coordinate is its order.

Throws:

FunctionException - If one of the given G-values is less than or equals to 0 or one of the generators is not in range.

Method Detail

getValue

public abstract Complex getValue(long elem)

Returns the value of the function for the input element in G.

Parameters:

elem - The element whose this function's value is calculated.

Returns:

The value of the function for the input element in G.

calcInfinityNorm

public double calcInfinityNorm()

Returns the infinity norm of this function over G.

Specified by:

calcInfinityNorm in class Function

Returns:

The infinity norm of this function over G.

calcEuclideanNorm

public double calcEuclideanNorm()

Returns the Euclidean norm of this function over G.

Specified by:

calcEuclideanNorm in class Function

Returns:

The infinity norm of this function over G.

getG

public long[][] getG()

Returns the vector of values describing G, the domain of the function.

Returns:

The vector of values describing G, the domain of the function.

setG

public void setG(long[][] G)
          throws FunctionException

Sets G to a new value.

Parameters:

G - The vector of values describing G, the domain of the function

Throws:

FunctionException - If the one of the given values is less than or equals to 0.