Class Polynomial

Defined in: Polynomial.js.

Class Summary
Constructor Attributes	Constructor Name and Description
	Polynomial(terms) Constructs a polynomial, simply a set of terms

Field Summary
Field Attributes	Field Name and Description
<static> <constant>	Polynomial.serializeName A static constant to help with de/serialization

Method Summary
Method Attributes	Method Name and Description
{Polynomial}	add(summand) Adds one of several object to a polynomial
	degree() Provides the Polynomials degree
{double}	degreeCoeff(n) Returns the coefficient of the polynomial of the first term of degree n
{Polynomial}	divide(denominator) Division of a Polynomial by a number or term.
{Polynomial}	exponentiate(exponent) Produce powers of polynomials, only works with integers currently
<static>	Polynomial.fromWebWorker(that) Finish reconstituting a Polynomial after passing to a web worker
{Polynomial}	LagrangeInterpolation(points) Generates a polynomial given an array of points using the Lagrange Interpolation Method
{Polynomial}	leastSquare(points, bases) Generate a function of least squares for given data points and given basis functions
{Polynomial}	multiply(multiplicand) Multiply a polynomial by something
{Polynomial[]}	orthogonalPolynomials(points, power) Generate orthogonal polynomials to assist least square methods
{double \| object}	resolve(value) Evaluates the polynomial for value value
{String[]}	serialize() Generates an array of serialized terms
	simplify() Due to the implmentation of some of the mathematical operations they generate unsimplified polynomials.
	sort() Due to the implmentation of the mathematical operations terms are not in any sorted order.
{Polynomial}	subtract(subtrahend) Subtract one of several object to a polynomial
{string}	toString() Generates a string representation of the Polynomial
{Object}	toWebWorker() Custom JSON representation to handle passing to web workers

Class Detail

Polynomial(terms)

Constructs a polynomial, simply a set of terms

Parameters:
{Term[]} terms: An array of Term objects

Field Detail

<static> <constant> Polynomial.serializeName

A static constant to help with de/serialization

Method Detail

{Polynomial} add(summand)

Adds one of several object to a polynomial

Parameters:
{Term|Polynomial|number} summand: A Term, or Polynomial, or number to be added

Returns:: {Polynomial} The sum

degree()

Provides the Polynomials degree

{double} degreeCoeff(n)

Returns the coefficient of the polynomial of the first term of degree n

Parameters:
{integer} n

Returns:: {double}

{Polynomial} divide(denominator)

Division of a Polynomial by a number or term. Division by a polynomial is a much more complicated case and so is not handled here because it isn't needed in this program.

Parameters:
{Term|number} denominator: The denominator

Returns:: {Polynomial} The quotient

{Polynomial} exponentiate(exponent)

Produce powers of polynomials, only works with integers currently

Parameters:
{Integer} exponent: the power to be raised by

Returns:: {Polynomial} The resulting polynomial

<static> Polynomial.fromWebWorker(that)

Finish reconstituting a Polynomial after passing to a web worker

Parameters:
{Object} that: A polynomial stripped of methods

{Polynomial} LagrangeInterpolation(points)

Generates a polynomial given an array of points using the Lagrange Interpolation Method

Parameters:
{Point[]} points: The points to be interpolated

Returns:: {Polynomial} The function interpolating the points.

{Polynomial} leastSquare(points, bases)

Generate a function of least squares for given data points and given basis functions

Parameters:
{Point[]} points: A sorted array of points
{Polynomial[]} bases: The basis functions

Returns:: {Polynomial} The method of least square distance from all of the points

{Polynomial} multiply(multiplicand)

Multiply a polynomial by something

Parameters:
{Polynomial|Term|number} multiplicand: The item to be multiplied by

Returns:: {Polynomial} The product

{Polynomial[]} orthogonalPolynomials(points, power)

Generate orthogonal polynomials to assist least square methods

Parameters:
{Number[]} points: The x values of data to be interpolated
{Integer} power: The highest power of orthogonal polynomial desired

Returns:: {Polynomial[]} The orthogonal functions

{double | object} resolve(value)

Evaluates the polynomial for value value

Parameters:
{double | object} value: The value to be applied to the function/polynomial

Returns:: {double | object} the result

{String[]} serialize()

Generates an array of serialized terms

Returns:: {String[]} The array of serialized terms

simplify()

Due to the implmentation of some of the mathematical operations they generate unsimplified polynomials. This corrects that.

sort()

Due to the implmentation of the mathematical operations terms are not in any sorted order. This sorts them.

{Polynomial} subtract(subtrahend)

Subtract one of several object to a polynomial

Parameters:
{Term|Polynomial|number} subtrahend: A Term, or Polynomial, or number to be added

Returns:: {Polynomial} The difference

{string} toString()

Generates a string representation of the Polynomial

Returns:: {string} The string representation

{Object} toWebWorker()

Custom JSON representation to handle passing to web workers

Returns:: {Object} For JSON.stringify

Classes

Methods

Fields

Class Polynomial