org.spaceroots.mantissa.algebra
Class CoefficientsGenerator

java.lang.Object
  org.spaceroots.mantissa.algebra.CoefficientsGenerator

public abstract class CoefficientsGenerator

extends Object

Constructor Summary

protected

CoefficientsGenerator(RationalNumber a00, RationalNumber a01, RationalNumber a11) Build a generator with coefficients for two polynomials.

Method Summary

RationalNumber[]	getCoefficients(int degree) Get the coefficients array for a given degree.
protected abstract void	setRecurrenceCoefficients(int k) Set the recurrence coefficients.
protected void	setRecurrenceCoefficients(RationalNumber b2k, RationalNumber b3k, RationalNumber b4k) Set the recurrence coefficients.

Methods inherited from class java.lang.Object

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

Constructor Detail

CoefficientsGenerator

protected CoefficientsGenerator(RationalNumber a00,
                                RationalNumber a01,
                                RationalNumber a11)

Build a generator with coefficients for two polynomials.

The first polynomial must be a degree 0 polynomial P₀(X)=a_0,0 and the second polynomial must be a degree 1 polynomial P₁(X)=a_0,1 +a_1,1X

Parameters:

a00 - constant term for the degree 0 polynomial

a01 - constant term for the degree 1 polynomial

a11 - X term for the degree 1 polynomial

Method Detail

setRecurrenceCoefficients

protected void setRecurrenceCoefficients(RationalNumber b2k,
                                         RationalNumber b3k,
                                         RationalNumber b4k)

Set the recurrence coefficients.

Parameters:

b2k - b_2,k coefficient (b_2,k = a_2,k / a_1,k)

b3k - b_3,k coefficient (b_3,k = a_3,k / a_1,k)

b4k - b_4,k coefficient (b_4,k = a_4,k / a_1,k)

setRecurrenceCoefficients

protected abstract void setRecurrenceCoefficients(int k)

Set the recurrence coefficients. The recurrence relation is

a1,k Ok+1(X) =(a2,k + a3,k X) Ok(X) - a4,k Ok-1(X)

the method must call setRecurrenceCoefficients(RationalNumber, RationalNumber, RationalNumber) to provide the coefficients

Parameters:

k - index of the current step

getCoefficients

public RationalNumber[] getCoefficients(int degree)

Get the coefficients array for a given degree.

Parameters:

degree - degree of the polynomial

Returns:

coefficients array