org.lsmp.djep.groupJep.values
Class Polynomial

java.lang.Object
  java.lang.Number
      org.lsmp.djep.groupJep.values.Polynomial

All Implemented Interfaces:

java.io.Serializable

Direct Known Subclasses:

FreeGroupElement

public class Polynomial
extends java.lang.Number

The ring of polynomials over a ring R.

Author:

Rich Morris Created on 09-Mar-2004

See Also:

Serialized Form

Constructor Summary

Polynomial(RingI baseRing, java.lang.String symbol, java.lang.Number[] coeffs)
Construct a polynomial over a ring.

Method Summary

Polynomial	add(Polynomial poly)
Complex	calculateComplexValue(Complex rootVal) returns the complex value of this polynomial.
java.lang.Number	calculateValue(java.lang.Number rootVal)
Polynomial	div(Polynomial poly)
double	doubleValue() value of constant coeff.
boolean	equals(Polynomial n)
float	floatValue() value of constant coeff.
RingI	getBaseRing()
java.lang.Number	getCoeff(int i)
java.lang.Number[]	getCoeffs() Returns the coefficients of polynomial.
int	getDegree()
java.lang.String	getSymbol()
int	intValue() value of constant coeff.
boolean	isConstantPoly() Is this a constant polynomial?
long	longValue() value of constant coeff.
Polynomial	mul(Polynomial poly)
Polynomial	pow(int exp)
protected void	setCoeffs(java.lang.Number[] coeffs) Sub classes can change the coefficients.
Polynomial	sub(Polynomial poly)
java.lang.String	toString()
protected Polynomial	valueOf(java.lang.Number[] lcoeffs) Factory method to create a polynomial with the given coefficients.

Methods inherited from class java.lang.Number

byteValue, shortValue

Methods inherited from class java.lang.Object

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

Constructor Detail

Polynomial

public Polynomial(RingI baseRing,
                  java.lang.String symbol,
                  java.lang.Number[] coeffs)

Construct a polynomial over a ring. In general the valueOf method should be used to construct a new polynomial.

Parameters:

baseRing - the underlying ring of the polynomial.

symbol - the symbol used to display the polynomial

coeffs - an array of coeficients in the base ring coeff[0] is constant, coeff[1] is coefficient of t etc.

Method Detail

setCoeffs

protected void setCoeffs(java.lang.Number[] coeffs)

Sub classes can change the coefficients. Other methods should treat polynomials as imutable.

valueOf

protected Polynomial valueOf(java.lang.Number[] lcoeffs)

Factory method to create a polynomial with the given coefficients. Sub classes should overwrite this method to costruct objects of the correct type.

add

public Polynomial add(Polynomial poly)

sub

public Polynomial sub(Polynomial poly)

mul

public Polynomial mul(Polynomial poly)

div

public Polynomial div(Polynomial poly)

pow

public Polynomial pow(int exp)

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object

getDegree

public int getDegree()

getSymbol

public java.lang.String getSymbol()

getCoeffs

public java.lang.Number[] getCoeffs()

Returns the coefficients of polynomial. TODO use defensive copying

Returns:

the array of coefficients, constant coefficient is element 0.

getCoeff

public java.lang.Number getCoeff(int i)

getBaseRing

public RingI getBaseRing()

intValue

public int intValue()

value of constant coeff.

Specified by:

intValue in class java.lang.Number

longValue

public long longValue()

value of constant coeff.

Specified by:

longValue in class java.lang.Number

floatValue

public float floatValue()

value of constant coeff.

Specified by:

floatValue in class java.lang.Number

doubleValue

public double doubleValue()

value of constant coeff.

Specified by:

doubleValue in class java.lang.Number

isConstantPoly

public boolean isConstantPoly()

Is this a constant polynomial?

equals

public boolean equals(Polynomial n)

calculateComplexValue

public Complex calculateComplexValue(Complex rootVal)

returns the complex value of this polynomial. Where the value of the symbol is replaced by rootVal.

calculateValue

public java.lang.Number calculateValue(java.lang.Number rootVal)