Package jscl.math.polynomial

Class Polynomial

java.lang.Object

jscl.math.polynomial.Polynomial

All Implemented Interfaces:

java.lang.Comparable, jscl.editor.rendering.MathObject, Arithmetic

Direct Known Subclasses:

UnivariatePolynomial

public abstract class Polynomial
extends java.lang.Object
implements Arithmetic, java.lang.Comparable, jscl.editor.rendering.MathObject

Method Summary

Modifier and Type	Method	Description
Polynomial	abs()
Arithmetic	add(Arithmetic arithmetic)
Polynomial	add(Polynomial polynomial)
protected Generic	coefficient(Generic generic)
Generic	coefficient(Monomial monomial)
int	compareTo(java.lang.Object o)
int	compareTo(Polynomial polynomial)
Polynomial	copy()
abstract int	degree()
Arithmetic	divide(Arithmetic arithmetic)
abstract Polynomial	divide(Generic generic)
abstract Polynomial	divide(Monomial monomial)
Polynomial	divide(Polynomial polynomial)
Polynomial[]	divideAndRemainder(Polynomial polynomial)
Generic[]	elements()
boolean	equals(java.lang.Object obj)
static Polynomial	factory(Variable variable)
static Polynomial	factory(Variable[] variable)
static Polynomial	factory(Variable[] unknown, Ordering ordering)
static Polynomial	factory(Variable[] unknown, Ordering ordering, int modulo)
static Polynomial	factory(Variable[] unknown, Ordering ordering, int modulo, int flags)
abstract Polynomial	freeze()
Generic	gcd()
abstract Polynomial	gcd(Polynomial polynomial)
Polynomial[]	gcdAndNormalize()
Generic	genericValue()
Term	head()
int	index()
java.util.Iterator	iterator()
java.util.Iterator	iterator(boolean direction)
abstract java.util.Iterator	iterator(boolean direction, Monomial current)
java.util.Iterator	iterator(Monomial current)
protected Monomial	monomial(Literal literal)
Monomial	monomialGcd()
boolean	multiple(Polynomial polynomial)
Arithmetic	multiply(Arithmetic arithmetic)
abstract Polynomial	multiply(Generic generic)
abstract Polynomial	multiply(Monomial monomial)
Polynomial	multiply(Polynomial polynomial)
Polynomial	multiplyAndSubtract(Generic generic, Polynomial polynomial)
Polynomial	multiplyAndSubtract(Monomial monomial, Generic generic, Polynomial polynomial)
Polynomial	negate()
Polynomial	normalize()
Ordering	ordering()
Polynomial	pow(int exponent)
Polynomial	reduce(java.util.Collection ideal, boolean tail)
Polynomial	reduce(Generic generic, Monomial monomial, Polynomial polynomial)
Polynomial	reduce(Generic generic, Polynomial polynomial)
Polynomial	remainder(Polynomial polynomial)
Polynomial	remainderUpToCoefficient(Polynomial polynomial)
Polynomial	scm(Polynomial polynomial)
void	setIndex(int n)
void	setSugar(int n)
int	signum()
abstract int	size()
Arithmetic	subtract(Arithmetic arithmetic)
abstract Polynomial	subtract(Polynomial polynomial)
int	sugar()
Term	tail()
java.lang.String	toMathML()
java.lang.String	toString()
abstract Polynomial	valueof(Generic generic)
abstract Polynomial	valueof(Monomial monomial)
abstract Polynomial	valueof(Polynomial polynomial)

Methods inherited from class java.lang.Object

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

Method Detail

size

public abstract int size()

ordering

public Ordering ordering()

iterator

public final java.util.Iterator iterator()

iterator

public final java.util.Iterator iterator(boolean direction)

iterator

public final java.util.Iterator iterator(Monomial current)

iterator

public abstract java.util.Iterator iterator(boolean direction,
                                            Monomial current)

add

public Polynomial add(Polynomial polynomial)

subtract

public abstract Polynomial subtract(Polynomial polynomial)

multiplyAndSubtract

public Polynomial multiplyAndSubtract(Generic generic,
                                      Polynomial polynomial)

multiplyAndSubtract

public Polynomial multiplyAndSubtract(Monomial monomial,
                                      Generic generic,
                                      Polynomial polynomial)

multiply

public Polynomial multiply(Polynomial polynomial)

multiply

public abstract Polynomial multiply(Generic generic)

multiply

public abstract Polynomial multiply(Monomial monomial)

multiple

public boolean multiple(Polynomial polynomial)
                 throws java.lang.ArithmeticException

Throws:

java.lang.ArithmeticException

divide

public Polynomial divide(Polynomial polynomial)
                  throws java.lang.ArithmeticException

Throws:

java.lang.ArithmeticException

divide

public abstract Polynomial divide(Generic generic)
                           throws java.lang.ArithmeticException

Throws:

java.lang.ArithmeticException

divide

public abstract Polynomial divide(Monomial monomial)
                           throws java.lang.ArithmeticException

Throws:

java.lang.ArithmeticException

add

public Arithmetic add(Arithmetic arithmetic)

Specified by:

add in interface Arithmetic

subtract

public Arithmetic subtract(Arithmetic arithmetic)

Specified by:

subtract in interface Arithmetic

multiply

public Arithmetic multiply(Arithmetic arithmetic)

Specified by:

multiply in interface Arithmetic

divide

public Arithmetic divide(Arithmetic arithmetic)
                  throws java.lang.ArithmeticException

Specified by:

divide in interface Arithmetic

Throws:

java.lang.ArithmeticException

divideAndRemainder

public Polynomial[] divideAndRemainder(Polynomial polynomial)
                                throws java.lang.ArithmeticException

Throws:

java.lang.ArithmeticException

remainder

public Polynomial remainder(Polynomial polynomial)
                     throws java.lang.ArithmeticException

Throws:

java.lang.ArithmeticException

remainderUpToCoefficient

public Polynomial remainderUpToCoefficient(Polynomial polynomial)
                                    throws java.lang.ArithmeticException

Throws:

java.lang.ArithmeticException

gcd

public abstract Polynomial gcd(Polynomial polynomial)

scm

public Polynomial scm(Polynomial polynomial)

gcd

public Generic gcd()

gcdAndNormalize

public final Polynomial[] gcdAndNormalize()

normalize

public final Polynomial normalize()

monomialGcd

public Monomial monomialGcd()

pow

public Polynomial pow(int exponent)

abs

public Polynomial abs()

negate

public Polynomial negate()

signum

public final int signum()

degree

public abstract int degree()

valueof

public abstract Polynomial valueof(Polynomial polynomial)

valueof

public abstract Polynomial valueof(Generic generic)

valueof

public abstract Polynomial valueof(Monomial monomial)

copy

public final Polynomial copy()

freeze

public abstract Polynomial freeze()

head

public Term head()

tail

public Term tail()

coefficient

public Generic coefficient(Monomial monomial)

monomial

protected Monomial monomial(Literal literal)

coefficient

protected Generic coefficient(Generic generic)

reduce

public Polynomial reduce(java.util.Collection ideal,
                         boolean tail)

reduce

public Polynomial reduce(Generic generic,
                         Monomial monomial,
                         Polynomial polynomial)

reduce

public Polynomial reduce(Generic generic,
                         Polynomial polynomial)

sugar

public int sugar()

index

public int index()

setSugar

public void setSugar(int n)

setIndex

public void setIndex(int n)

genericValue

public Generic genericValue()

elements

public Generic[] elements()

factory

public static Polynomial factory(Variable variable)

factory

public static Polynomial factory(Variable[] variable)

factory

public static Polynomial factory(Variable[] unknown,
                                 Ordering ordering)

factory

public static Polynomial factory(Variable[] unknown,
                                 Ordering ordering,
                                 int modulo)

factory

public static Polynomial factory(Variable[] unknown,
                                 Ordering ordering,
                                 int modulo,
                                 int flags)

compareTo

public int compareTo(Polynomial polynomial)

compareTo

public int compareTo(java.lang.Object o)

Specified by:

compareTo in interface java.lang.Comparable

equals

public boolean equals(java.lang.Object obj)

Overrides:

equals in class java.lang.Object

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object

toMathML

public java.lang.String toMathML()

Specified by:

toMathML in interface jscl.editor.rendering.MathObject