Function
Class FourierPolynomial

java.lang.Object
  Function.Function
      Function.DirectProdFunction
          Function.FourierPolynomial

public class FourierPolynomial
extends DirectProdFunction

Describes a Fourier polynomial by a list of terms and their coefficients, i.e. for a Fourier polynomial:
p(x) = ∑c_α•Χ_α(x) it holds the mapping of α to its coefficient c_α.

Author:

Elizabeth Firman and Ariel Stolerman

Constructor Summary

FourierPolynomial(long[] G, java.lang.String id)
Default constructor.

Method Summary

void	addUpdateTerm(long[] alpha, double re, double im) adds the term to the polynomial if already exist, adds the coefficients
Complex	getCoeff(long[] alpha)
java.lang.String	getId()
Complex	getValue(long[] x) Returns the value of the function for the input element in G.
java.lang.String	toMatlabScript(java.lang.String scriptName) get the function as a Matlab script
java.lang.String	toString() get the string representation of the polynomial

Methods inherited from class Function.DirectProdFunction

calcEuclideanNorm, calcInfinityNorm, getG, setG

Methods inherited from class java.lang.Object

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

Constructor Detail

FourierPolynomial

public FourierPolynomial(long[] G,
                         java.lang.String id)
                  throws FunctionException

Default constructor.

Parameters:

id - unique identifier for the polynomial.

Throws:

FunctionException

Method Detail

getCoeff

public Complex getCoeff(long[] alpha)

Parameters:

alpha - the element (vector) for which the coefficient is fetched

Returns:

the coefficient or null if doesn't exist

getId

public java.lang.String getId()

Returns:

the id of the polynomial

toString

public java.lang.String toString()

get the string representation of the polynomial

Overrides:

toString in class java.lang.Object

toMatlabScript

public java.lang.String toMatlabScript(java.lang.String scriptName)

get the function as a Matlab script

addUpdateTerm

public void addUpdateTerm(long[] alpha,
                          double re,
                          double im)

adds the term to the polynomial if already exist, adds the coefficients

Parameters:

alpha - the element

re - real part

im - imaginary part

getValue

public Complex getValue(long[] x)

Description copied from class: DirectProdFunction

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

Specified by:

getValue in class DirectProdFunction

Parameters:

x: - input for the polynomial p

Returns:

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