Package com.singularsys.extensions.polynomials

Class Polynomial

java.lang.Object

com.singularsys.extensions.polynomials.AbstractPNode

com.singularsys.extensions.polynomials.Polynomial

All Implemented Interfaces:

PNodeI, java.io.Serializable, java.lang.Comparable<PNodeI>

public class Polynomial
extends AbstractPNode

Represents a polynomial. i.e. a sum of terms which are typically Monomials, but can be any AbstractPNode. The order of the terms is specified by the total ordering.

Author:

Rich Morris Created on 14-Dec-2004

See Also:

Serialized Form

Field Summary

Fields inherited from class com.singularsys.extensions.polynomials.AbstractPNode

pc

Method Summary

Modifier and Type	Method	Description
PNodeI	add(PNodeI node)	Adds a node to this one.
PNodeI	add(Polynomial p)
int	compareTo(PNodeI node)	Compares this expression to argument.
int	compareTo(Polynomial p)
void	convertToPolyArray(java.lang.String var, java.util.Map<java.lang.Integer,PNodeI> polyArray)	Internal method for extracting coefficients
PNodeI	div(PNodeI node)	Divides this by the argument.
boolean	equalsPNode(PNodeI node)	True is nodes represent the same parse trees
PNodeI	expand()	complete expansion. (1+x)^2 --> 1+2*x+x^2
int	getNTerms()	The number of terms which make up the polynomial.
PNodeI	getTerm(int i)	Get the n-th term
int	hashCode()
PNodeI	mul(PNodeI node)	Multiplies this by the argument.
PNodeI	negate()	negates node i.e.
PNodeI	sub(PNodeI node)	Subtracts the argument from this.
PNodeI	sub(Polynomial p)
Node	toCompactNode()	A more efficient representation.
Node	toNode()	Converts the node to standard Jep format.
java.lang.String	toString()	Produces a string representation of the argument.
static PNodeI	valueOf(PolynomialCreator pc, PNodeI[] terms)

Methods inherited from class com.singularsys.extensions.polynomials.AbstractPNode

equals, invert, isOne, isZero, pow

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Method Detail

valueOf

public static PNodeI valueOf(PolynomialCreator pc,
                             PNodeI[] terms)
                      throws ParseException

Throws:

ParseException

add

public PNodeI add(PNodeI node)
           throws ParseException

Description copied from interface: PNodeI

Adds a node to this one.

Specified by:

add in interface PNodeI

Overrides:

add in class AbstractPNode

Throws:

ParseException

sub

public PNodeI sub(PNodeI node)
           throws ParseException

Description copied from interface: PNodeI

Subtracts the argument from this.

Specified by:

sub in interface PNodeI

Overrides:

sub in class AbstractPNode

Throws:

ParseException

add

public PNodeI add(Polynomial p)
           throws ParseException

Throws:

ParseException

sub

public PNodeI sub(Polynomial p)
           throws ParseException

Throws:

ParseException

negate

public PNodeI negate()
              throws ParseException

Description copied from interface: PNodeI

negates node i.e. -x

Throws:

ParseException

mul

public PNodeI mul(PNodeI node)
           throws ParseException

Description copied from interface: PNodeI

Multiplies this by the argument.

Specified by:

mul in interface PNodeI

Overrides:

mul in class AbstractPNode

Throws:

ParseException

div

public PNodeI div(PNodeI node)
           throws ParseException

Description copied from interface: PNodeI

Divides this by the argument.

Specified by:

div in interface PNodeI

Overrides:

div in class AbstractPNode

Throws:

ParseException

equalsPNode

public boolean equalsPNode(PNodeI node)

Description copied from interface: PNodeI

True is nodes represent the same parse trees

Specified by:

equalsPNode in interface PNodeI

Overrides:

equalsPNode in class AbstractPNode

compareTo

public int compareTo(PNodeI node)

Description copied from interface: PNodeI

Compares this expression to argument. Uses a total ordering of expressions. Returns positive if this node comes after the argument.

Specified by:

compareTo in interface java.lang.Comparable<PNodeI>

Specified by:

compareTo in interface PNodeI

Overrides:

compareTo in class AbstractPNode

compareTo

public int compareTo(Polynomial p)

hashCode

public int hashCode()

Overrides:

hashCode in class java.lang.Object

toString

public java.lang.String toString()

Description copied from interface: PNodeI

Produces a string representation of the argument.

Specified by:

toString in interface PNodeI

Overrides:

toString in class java.lang.Object

toNode

public Node toNode()
            throws ParseException

Description copied from interface: PNodeI

Converts the node to standard Jep format.

Throws:

ParseException

toCompactNode

public Node toCompactNode()
                   throws ParseException

A more efficient representation. Uses the

Returns:

Throws:

ParseException

expand

public PNodeI expand()
              throws ParseException

Description copied from interface: PNodeI

complete expansion. (1+x)^2 --> 1+2*x+x^2

Throws:

ParseException

getNTerms

public int getNTerms()

The number of terms which make up the polynomial.

Returns:

the number of terms

getTerm

public PNodeI getTerm(int i)

Get the n-th term

Parameters:

i - index of terms

Returns:

PNodeI for that term.

convertToPolyArray

public void convertToPolyArray(java.lang.String var,
                               java.util.Map<java.lang.Integer,PNodeI> polyArray)
                        throws ParseException

Description copied from interface: PNodeI

Internal method for extracting coefficients

Parameters:

var - variable name

polyArray - results added to this map

Throws:

ParseException