jsci.maths.polynomials

Interface Polynomial

All Superinterfaces:

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

All Known Implementing Classes:

ComplexPolynomial, RealPolynomial

public interface Polynomial
extends Ring.Member

A Polynomial as a Ring.Member over a Field

Method Summary

Modifier and Type	Method and Description
int	degree() The degree.
Field.Member	getCoefficient(int k) Get the coefficient of degree k, i.e.
Field.Member[]	getCoefficients() Get the coefficients as an array
Polynomial	scalarDivide(Field.Member a) Return a new Polynomial with coefficients divided by a
Polynomial	scalarMultiply(Field.Member a) Return a new Polynomial with coefficients multiplied by a

Methods inherited from interface jsci.maths.fields.Ring.Member

multiply

Methods inherited from interface jsci.maths.groups.AbelianGroup.Member

add, negate, subtract

Methods inherited from interface jsci.maths.Member

getSet

Method Detail

getCoefficient

Field.Member getCoefficient(int k)

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

Parameters:

k - degree

Returns:

coefficient as described above

getCoefficients

Field.Member[] getCoefficients()

Get the coefficients as an array

Returns:

the coefficients as an array

degree

int degree()

The degree.

Returns:

the degree

scalarDivide

Polynomial scalarDivide(Field.Member a)

Return a new Polynomial with coefficients divided by a

Parameters:

a - divisor

Returns:

new Polynomial with coefficients /= a

scalarMultiply

Polynomial scalarMultiply(Field.Member a)

Return a new Polynomial with coefficients multiplied by a

Parameters:

a - factor

Returns:

new Polynomial with coefficients *= a