org.jscience.mathematics.analysis.polynomials
Class ExactComplexPolynomial

java.lang.Object
  org.jscience.mathematics.analysis.ExactComplexFunction
      org.jscience.mathematics.analysis.polynomials.ExactComplexPolynomial

All Implemented Interfaces:

java.io.Serializable, java.lang.Cloneable, Field.Member, Ring.Member, AbelianGroup.Member, AbstractMapping, C1Function, NumberMapping, Polynomial, Member

public class ExactComplexPolynomial
extends ExactComplexFunction
implements Polynomial, java.io.Serializable, java.lang.Cloneable

A Polynomial over the ExactComplex field. For a description of the methods

See Also:

ExactRealPolynomial, Serialized Form

Constructor Summary

ExactComplexPolynomial(ExactComplex[] coeff)
Creates a new instance of ExactComplexPolynomial, polynom is always simplified discarding every trailing zeros and array copied (but not contents of elements).

ExactComplexPolynomial(ExactComplexPolynomial polynomial)
Creates a new instance of ExactComplexPolynomial, polynom is always simplified discarding every trailing zeros.

ExactComplexPolynomial(Field.Member[] f)
Creates a new ExactComplexPolynomial object.

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member g) The group composition law.
java.lang.Object	clone() DOCUMENT ME!
int	degree() DOCUMENT ME!
ExactComplexFunction	differentiate() Differentiate the complex polynomial.
boolean	equals(java.lang.Object o) DOCUMENT ME!
Field.Member	getCoefficient(int n) DOCUMENT ME!
ExactComplex	getCoefficientAsExactComplex(int n) DOCUMENT ME!
Field.Member[]	getCoefficients() Get the coefficients as an array
ExactComplex[]	getCoefficientsAsExactComplexes() Return the coefficients as an array of ExactComplex numbers.
java.lang.Object	getSet() DOCUMENT ME!
int	hashCode()
ExactComplexPolynomial	integrate() "inverse" operation for differentiate, zero degree constant set to zero
boolean	isOne() DOCUMENT ME!
boolean	isZero() DOCUMENT ME!
ExactComplex	map(double x, double y) Evaluates this polynomial.
ExactComplex	map(ExactComplex z) Evaluates this polynomial.
Ring.Member	multiply(Ring.Member r) The multiplication law.
AbelianGroup.Member	negate() Returns the inverse member.
ExactComplexPolynomial	scalarDivide(ExactComplex a) Returns the division of this polynomial by a scalar.
ExactComplexPolynomial	scalarDivide(ExactReal a) Returns the division of this polynomial by a scalar.
Polynomial	scalarDivide(Field.Member f) Returns the division of this polynomial by a scalar.
ExactComplexPolynomial	scalarMultiply(ExactComplex a) Returns the multiplication of this polynomial by a scalar.
ExactComplexPolynomial	scalarMultiply(ExactReal a) Returns the multiplication of this polynomial by a scalar.
Polynomial	scalarMultiply(Field.Member f) Returns the multiplication of this polynomial by a scalar.
void	setCoefficient(int n, Field.Member c) DOCUMENT ME!
void	setCoefficientAsExactComplex(int n, ExactComplex c) DOCUMENT ME!
AbelianGroup.Member	subtract(AbelianGroup.Member g) The group composition law with inverse.
java.lang.String	toString()
java.lang.String	toString(java.lang.String unknown) String representation P(x) = a_k x^k +...

Methods inherited from class org.jscience.mathematics.analysis.ExactComplexFunction

add, compose, divide, divide, getIntervalsList, inverse, map, multiply, setIntervalsList, subtract, taylorExpand

Methods inherited from class java.lang.Object

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

Constructor Detail

ExactComplexPolynomial

public ExactComplexPolynomial(ExactComplex[] coeff)

Creates a new instance of ExactComplexPolynomial, polynom is always simplified discarding every trailing zeros and array copied (but not contents of elements).

Parameters:

coeff - DOCUMENT ME!

Throws:

java.lang.NullPointerException - DOCUMENT ME!

ExactComplexPolynomial

public ExactComplexPolynomial(ExactComplexPolynomial polynomial)

Creates a new instance of ExactComplexPolynomial, polynom is always simplified discarding every trailing zeros.

Parameters:

polynomial - DOCUMENT ME!

ExactComplexPolynomial

public ExactComplexPolynomial(Field.Member[] f)

Creates a new ExactComplexPolynomial object.

Parameters:

f -

Method Detail

getCoefficient

public Field.Member getCoefficient(int n)

DOCUMENT ME!

Specified by:

getCoefficient in interface Polynomial

Parameters:

n -

Returns:

DOCUMENT ME!

getCoefficientAsExactComplex

public ExactComplex getCoefficientAsExactComplex(int n)

DOCUMENT ME!

Parameters:

n -

Returns:

DOCUMENT ME!

getCoefficients

public Field.Member[] getCoefficients()

Description copied from interface: Polynomial

Get the coefficients as an array

Specified by:

getCoefficients in interface Polynomial

Returns:

DOCUMENT ME!

getCoefficientsAsExactComplexes

public ExactComplex[] getCoefficientsAsExactComplexes()

Return the coefficients as an array of ExactComplex numbers.

Returns:

DOCUMENT ME!

setCoefficient

public void setCoefficient(int n,
                           Field.Member c)

DOCUMENT ME!

Parameters:

n -

c - DOCUMENT ME!

setCoefficientAsExactComplex

public void setCoefficientAsExactComplex(int n,
                                         ExactComplex c)

DOCUMENT ME!

Parameters:

n -

c - DOCUMENT ME!

map

public ExactComplex map(ExactComplex z)

Evaluates this polynomial.

Specified by:

map in class ExactComplexFunction

Parameters:

z - DOCUMENT ME!

Returns:

DOCUMENT ME!

map

public ExactComplex map(double x,
                        double y)

Evaluates this polynomial.

Parameters:

x - DOCUMENT ME!

y - DOCUMENT ME!

Returns:

DOCUMENT ME!

degree

public int degree()

DOCUMENT ME!

Specified by:

degree in interface Polynomial

Returns:

the degree

getSet

public java.lang.Object getSet()

DOCUMENT ME!

Returns:

DOCUMENT ME!

isZero

public boolean isZero()

DOCUMENT ME!

Returns:

true if this is equal to zero.

isOne

public boolean isOne()

DOCUMENT ME!

Returns:

true if this is equal to one.

add

public AbelianGroup.Member add(AbelianGroup.Member g)

The group composition law.

Specified by:

add in interface AbelianGroup.Member

Overrides:

add in class ExactComplexFunction

Parameters:

g - a group member

Returns:

DOCUMENT ME!

differentiate

public ExactComplexFunction differentiate()

Differentiate the complex polynomial. Only useful iff the polynomial is built over a banach space and an appropriate multiplication law is provided.

Specified by:

differentiate in interface C1Function

Specified by:

differentiate in class ExactComplexFunction

Returns:

a new polynomial with degree = max(this.degree-1 , 0)

scalarDivide

public Polynomial scalarDivide(Field.Member f)

Returns the division of this polynomial by a scalar.

Specified by:

scalarDivide in interface Polynomial

Parameters:

f -

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

scalarDivide

public ExactComplexPolynomial scalarDivide(ExactComplex a)

Returns the division of this polynomial by a scalar.

Parameters:

a -

Returns:

DOCUMENT ME!

scalarDivide

public ExactComplexPolynomial scalarDivide(ExactReal a)

Returns the division of this polynomial by a scalar.

Parameters:

a -

Returns:

DOCUMENT ME!

equals

public boolean equals(java.lang.Object o)

DOCUMENT ME!

Overrides:

equals in class java.lang.Object

Parameters:

o -

Returns:

DOCUMENT ME!

hashCode

public int hashCode()

Overrides:

hashCode in class java.lang.Object

Returns:

DOCUMENT ME!

integrate

public ExactComplexPolynomial integrate()

"inverse" operation for differentiate, zero degree constant set to zero

Returns:

the integrated polynomial

scalarMultiply

public Polynomial scalarMultiply(Field.Member f)

Returns the multiplication of this polynomial by a scalar.

Specified by:

scalarMultiply in interface Polynomial

Parameters:

f -

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

scalarMultiply

public ExactComplexPolynomial scalarMultiply(ExactReal a)

Returns the multiplication of this polynomial by a scalar.

Parameters:

a -

Returns:

DOCUMENT ME!

scalarMultiply

public ExactComplexPolynomial scalarMultiply(ExactComplex a)

Returns the multiplication of this polynomial by a scalar.

Parameters:

a -

Returns:

DOCUMENT ME!

multiply

public Ring.Member multiply(Ring.Member r)

The multiplication law.

Specified by:

multiply in interface Ring.Member

Overrides:

multiply in class ExactComplexFunction

Parameters:

r - a ring member

Returns:

DOCUMENT ME!

negate

public AbelianGroup.Member negate()

Returns the inverse member.

Specified by:

negate in interface AbelianGroup.Member

Overrides:

negate in class ExactComplexFunction

Returns:

DOCUMENT ME!

subtract

public AbelianGroup.Member subtract(AbelianGroup.Member g)

The group composition law with inverse.

Specified by:

subtract in interface AbelianGroup.Member

Overrides:

subtract in class ExactComplexFunction

Parameters:

g - a group member

Returns:

DOCUMENT ME!

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object

Returns:

DOCUMENT ME!

toString

public java.lang.String toString(java.lang.String unknown)

String representation P(x) = a_k x^k +...

Parameters:

unknown - The name of the unkwown

Returns:

String

clone

public java.lang.Object clone()

DOCUMENT ME!

Overrides:

clone in class java.lang.Object

Returns:

DOCUMENT ME!