JSci.maths.polynomials
Class ComplexPolynomial

java.lang.Object
  JSci.maths.polynomials.ComplexPolynomial

All Implemented Interfaces:

AbelianGroup.Member, Member, Polynomial, Ring.Member, java.io.Serializable

public class ComplexPolynomial

extends java.lang.Object

implements Polynomial

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

See Also:

RealPolynomial, Serialized Form

Constructor Summary

ComplexPolynomial(Complex[] coeff)
Creates a new instance of ComplexPolynomial

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

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member g) The group composition law.
int	degree() The degree.
ComplexPolynomial	divide(Complex a) Returns the division of this polynomial by a scalar.
ComplexPolynomial	divide(double a) Returns the division of this polynomial by a scalar.
Polynomial	divide(Field.Member f) Returns the division of this polynomial by a scalar.
boolean	equals(java.lang.Object o)
Field.Member	getCoefficient(int n) Get the coefficient of degree k, i.e.
Complex	getCoefficientAsComplex(int n)
Field.Member[]	getCoefficients() Get the coefficients as an array
Complex[]	getCoefficientsAsComplexes() Return the coefficients as an array of complex numbers.
int	hashCode()
boolean	isOne()
boolean	isZero()
Complex	map(Complex z) Evaluates this polynomial.
Complex	map(double x, double y) Evaluates this polynomial.
ComplexPolynomial	multiply(Complex a) Returns the multiplication of this polynomial by a scalar.
ComplexPolynomial	multiply(double a) Returns the multiplication of this polynomial by a scalar.
Polynomial	multiply(Field.Member f) Returns the multiplication of this polynomial by a scalar.
Ring.Member	multiply(Ring.Member r) The multiplication law.
AbelianGroup.Member	negate() Returns the inverse member.
AbelianGroup.Member	subtract(AbelianGroup.Member g) The group composition law with inverse.
java.lang.String	toString()

Methods inherited from class java.lang.Object

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

Constructor Detail

ComplexPolynomial

public ComplexPolynomial(Complex[] coeff)

Creates a new instance of ComplexPolynomial

ComplexPolynomial

public ComplexPolynomial(Field.Member[] f)

Creates a new ComplexPolynomial object.

Parameters:

f -

Method Detail

getCoefficient

public Field.Member getCoefficient(int n)

Description copied from interface: Polynomial

Get the coefficient of degree k, i.e. a_k if P(x) := sum_{k=0}^n a_k x^k

Specified by:

getCoefficient in interface Polynomial

Parameters:

n -

Returns:

coefficient as described above

getCoefficientAsComplex

public Complex getCoefficientAsComplex(int n)

Parameters:

n -

getCoefficients

public Field.Member[] getCoefficients()

Description copied from interface: Polynomial

Get the coefficients as an array

Specified by:

getCoefficients in interface Polynomial

Returns:

the coefficients as an array

getCoefficientsAsComplexes

public Complex[] getCoefficientsAsComplexes()

Return the coefficients as an array of complex numbers.

map

public Complex map(Complex z)

Evaluates this polynomial.

map

public Complex map(double x,
                   double y)

Evaluates this polynomial.

degree

public int degree()

Description copied from interface: Polynomial

The degree.

Specified by:

degree in interface Polynomial

Returns:

the degree

isZero

public boolean isZero()

Returns:

true if this is equal to zero.

isOne

public boolean isOne()

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

Parameters:

g - a group member

divide

public Polynomial divide(Field.Member f)

Returns the division of this polynomial by a scalar.

Specified by:

divide in interface Polynomial

Parameters:

f - divisor

Returns:

new Polynomial with coefficients /= a

divide

public ComplexPolynomial divide(Complex a)

Returns the division of this polynomial by a scalar.

Parameters:

a -

divide

public ComplexPolynomial divide(double a)

Returns the division of this polynomial by a scalar.

Parameters:

a -

equals

public boolean equals(java.lang.Object o)

Parameters:

o -

hashCode

public int hashCode()

multiply

public Polynomial multiply(Field.Member f)

Returns the multiplication of this polynomial by a scalar.

Specified by:

multiply in interface Polynomial

Parameters:

f -

Returns:

new Polynomial with coefficients *= a

multiply

public ComplexPolynomial multiply(double a)

Returns the multiplication of this polynomial by a scalar.

Parameters:

a -

multiply

public ComplexPolynomial multiply(Complex a)

Returns the multiplication of this polynomial by a scalar.

Parameters:

a -

multiply

public Ring.Member multiply(Ring.Member r)

The multiplication law.

Specified by:

multiply in interface Ring.Member

Parameters:

r - a ring member

negate

public AbelianGroup.Member negate()

Returns the inverse member.

Specified by:

negate in interface AbelianGroup.Member

subtract

public AbelianGroup.Member subtract(AbelianGroup.Member g)

The group composition law with inverse.

Specified by:

subtract in interface AbelianGroup.Member

Parameters:

g - a group member

toString

public java.lang.String toString()