Polynomial Class Reference

Represents a polynomial of degree \(n\) in power form. More...

Inheritance diagram for Polynomial:

Collaboration diagram for Polynomial:

Public Member Functions
	Polynomial (double... coeff)
	Constructs a new polynomial with coefficients coeff. More...
int	getDegree ()
	Returns the degree of this polynomial. More...
double []	getCoefficients ()
	Returns an array containing the coefficients of the polynomial. More...
double	getCoefficient (int i)
	Returns the \(i\)th coefficient of the polynomial. More...
void	setCoefficients (double... coeff)
	Sets the array of coefficients of this polynomial to coeff. More...
double	evaluate (double x)
	Returns the value of the function evaluated at \(x\). More...
double	derivative (double x)
	Computes (or estimates) the first derivative of the function at point x. More...
double	derivative (double x, int n)
	Computes (or estimates) the \(n\)th derivative of the function at point x. More...
Polynomial	derivativePolynomial (int n)
	Returns a polynomial corresponding to the \(n\)th derivative of this polynomial. More...
double	integral (double a, double b)
	Computes (or estimates) the integral of the function over the interval \([a, b]\). More...
Polynomial	integralPolynomial (double c)
	Returns a polynomial representing the integral of this polynomial. More...
String	toString ()
Polynomial	clone ()

Detailed Description

Represents a polynomial of degree \(n\) in power form.

Such a polynomial is of the form

\[ p(x) = c_0 + c_1x + \cdots+ c_nx^n, \]

where \(c_0, …, c_n\) are the coefficients of the polynomial.

Constructor & Destructor Documentation

Polynomial()

Polynomial

(

double...

coeff

)

Constructs a new polynomial with coefficients coeff.

The value of coeff[i] in this array corresponds to \(c_i\).

Parameters

coeff

the coefficients of the polynomial.

Exceptions

NullPointerException	if coeff is null.
IllegalArgumentException	if the length of coeff is 0.

Member Function Documentation

derivative() [1/2]

double derivative

(

double

x

)

Computes (or estimates) the first derivative of the function at point x.

Parameters

x	the point to evaluate the derivative to.

Returns

the value of the derivative.

Implements MathFunctionWithFirstDerivative.

derivative() [2/2]

double derivative	(	double	x,
		int	n
	)

Computes (or estimates) the \(n\)th derivative of the function at point x.

For \(n=0\), this returns the result of umontreal.ssj.functions.MathFunction.evaluate(double).

Parameters

x	the point to evaluate the derivate to.
n	the order of the derivative.

Returns

the resulting derivative.

Exceptions

IllegalArgumentException

if n is negative or 0.

Implements MathFunctionWithDerivative.

derivativePolynomial()

Polynomial derivativePolynomial

(

int

n

)

Returns a polynomial corresponding to the \(n\)th derivative of this polynomial.

Parameters

n	the degree of the derivative.

Returns

the derivative.

evaluate()

double evaluate

(

double

x

)

Returns the value of the function evaluated at \(x\).

Parameters

x	value at which the function is evaluated

Returns

function evaluated at x

Implements MathFunction.

getCoefficient()

double getCoefficient

(

int

i

)

Returns the \(i\)th coefficient of the polynomial.

Returns

the array of coefficients.

getCoefficients()

double [] getCoefficients

(

)

Returns an array containing the coefficients of the polynomial.

Returns

the array of coefficients.

getDegree()

int getDegree

(

)

Returns the degree of this polynomial.

Returns

the degree of this polynomial.

integral()

double integral	(	double	a,
		double	b
	)

Computes (or estimates) the integral of the function over the interval \([a, b]\).

Parameters

a	the starting point of the interval.
b	the ending point of the interval.

Returns

the value of the integral.

Implements MathFunctionWithIntegral.

integralPolynomial()

Polynomial integralPolynomial

(

double

c

)

Returns a polynomial representing the integral of this polynomial.

This integral is of the form

\[ \int p(x)dx = c + c_0x + \frac{c_1 x^2}{2} + \cdots+ \frac{c_n x^{n+1}}{n+1}, \]

where \(c\) is a user-defined constant.

Parameters

c	the constant for the integral.

Returns

the polynomial representing the integral.

setCoefficients()

void setCoefficients

(

double...

coeff

)

Sets the array of coefficients of this polynomial to coeff.

Parameters

coeff

the new array of coefficients.

Exceptions

NullPointerException	if coeff is null.
IllegalArgumentException	if the length of coeff is 0.

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The documentation for this class was generated from the following file:

• Polynomial.java