fr.cnes.sirius.patrius.math.analysis.polynomials

Class TrigonometricPolynomialPrimitive

java.lang.Object

fr.cnes.sirius.patrius.math.analysis.polynomials.TrigonometricPolynomialPrimitive

All Implemented Interfaces:

UnivariateDifferentiableFunction, UnivariateFunction, Serializable

public final class TrigonometricPolynomialPrimitive
extends Object
implements UnivariateDifferentiableFunction, Serializable

This class represents a trigonometric polynomial primitive. Such a function is defined as being the sum of a {link TrigonometricPolynomialFunction} and a PolynomialFunction : P(x) = a0 + a1 x + sum( bk cos(kt) + ck sin(kt) )

Since:

1.1

Version:

$Id: TrigonometricPolynomialPrimitive.java 17603 2017-05-18 08:28:32Z bignon $

Author:

Rami Houdroge

See Also:

Serialized Form

Concurrency :

immutable

Constructor Summary

Constructors

Constructor and Description
TrigonometricPolynomialPrimitive(PolynomialFunction linearPolynomial, TrigonometricPolynomialFunction trigonometricPolynomial) Constructor for the TrigonometricPolynomialPrimitive class

Method Summary

Methods

Modifier and Type	Method and Description
TrigonometricPolynomialPrimitive	add(PolynomialFunction poly) Add a PolynomialFunction
TrigonometricPolynomialPrimitive	add(TrigonometricPolynomialFunction poly) Add a TrigonometricPolynomialFunction
TrigonometricPolynomialPrimitive	add(TrigonometricPolynomialPrimitive poly) Add two TrigonometricPolynomialPrimitive
UnivariateFunction	derivative() Get first order derivative
UnivariateFunction	derivative(int n) Get nth order derivative
protected static double	evaluate(TrigonometricPolynomialPrimitive polynomial, double x) Static evaluation method
PolynomialFunction	getLinearPolynomial() Get the Linear Polynomial Part
TrigonometricPolynomialFunction	getTrigonometricPolynomial() Get the Trigonometric Polynomial Part
TrigonometricPolynomialPrimitive	negate() Get opposite of current polynomial
TrigonometricPolynomialPrimitive	polynomialDerivative() Get first order derivative
TrigonometricPolynomialPrimitive	polynomialDerivative(int n) Get nth order derivative
protected static TrigonometricPolynomialPrimitive	polynomialDerivative(TrigonometricPolynomialPrimitive poly) Get first order derivative
TrigonometricPolynomialPrimitive	scalarAdd(double scalar) Add a scalar to a TrigonometricPolynomialPrimitive
TrigonometricPolynomialPrimitive	scalarDivide(double scalar) Divide by a scalar
TrigonometricPolynomialPrimitive	scalarMultiply(double scalar) Multiply TrigonometricPolynomialPrimitive by a scalar
TrigonometricPolynomialPrimitive	scalarSubtract(double scalar) Subtract a scalar
TrigonometricPolynomialPrimitive	subtract(PolynomialFunction poly) Subtract a PolynomialFunction
TrigonometricPolynomialPrimitive	subtract(TrigonometricPolynomialFunction poly) Subtract a TrigonometricPolynomialFunction
TrigonometricPolynomialPrimitive	subtract(TrigonometricPolynomialPrimitive poly) Subtract two TrigonometricPolynomialPrimitive
String	toString() Get String representation of polynomial
DerivativeStructure	value(DerivativeStructure t) Simple mathematical function.
double	value(double x) Get value at given abscissa
double	value(int n, double x) Get value of derivative

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

TrigonometricPolynomialPrimitive

public TrigonometricPolynomialPrimitive(PolynomialFunction linearPolynomial,
                                TrigonometricPolynomialFunction trigonometricPolynomial)

Constructor for the TrigonometricPolynomialPrimitive class

Parameters:

linearPolynomial - linear part

trigonometricPolynomial - trigonometric part

Method Detail

add

public TrigonometricPolynomialPrimitive add(TrigonometricPolynomialPrimitive poly)

Add two TrigonometricPolynomialPrimitive

Parameters:

poly - to add

Returns:

resulting TrigonometricPolynomialPrimitive

add

public TrigonometricPolynomialPrimitive add(PolynomialFunction poly)

Add a PolynomialFunction

Parameters:

poly - to add

Returns:

resulting TrigonometricPolynomialPrimitive

add

public TrigonometricPolynomialPrimitive add(TrigonometricPolynomialFunction poly)

Add a TrigonometricPolynomialFunction

Parameters:

poly - to add

Returns:

resulting TrigonometricPolynomialPrimitive

derivative

public UnivariateFunction derivative()

Get first order derivative

Returns:

derivative as a UnivariateFunction

derivative

public UnivariateFunction derivative(int n)

Get n^th order derivative

Parameters:

n - order of derivative

Returns:

derivative as a UnivariateFunction

evaluate

protected static double evaluate(TrigonometricPolynomialPrimitive polynomial,
              double x)

Static evaluation method

Parameters:

polynomial - to evaluate

x - abscissa

Returns:

value of polynomial at abscissa

getLinearPolynomial

public PolynomialFunction getLinearPolynomial()

Get the Linear Polynomial Part

Returns:

the polynomial as a PolynomialFunction

getTrigonometricPolynomial

public TrigonometricPolynomialFunction getTrigonometricPolynomial()

Get the Trigonometric Polynomial Part

Returns:

the polynomial as a TrigonometricPolynomialFunction

negate

public TrigonometricPolynomialPrimitive negate()

Get opposite of current polynomial

Returns:

opposite

polynomialDerivative

public TrigonometricPolynomialPrimitive polynomialDerivative()

Get first order derivative

Returns:

derivative as an TrigonometricPolynomialPrimitive

polynomialDerivative

protected static TrigonometricPolynomialPrimitive polynomialDerivative(TrigonometricPolynomialPrimitive poly)

Get first order derivative

Parameters:

poly - polynomial to differentiate

Returns:

first order polynomial derivative as a TrigonometricPolynomialFunction

polynomialDerivative

public TrigonometricPolynomialPrimitive polynomialDerivative(int n)

Get n^th order derivative

Parameters:

n - order of derivative (n > 0)

Returns:

n^th order polynomial derivative as a TrigonometricPolynomialFunction

scalarAdd

public TrigonometricPolynomialPrimitive scalarAdd(double scalar)

Add a scalar to a TrigonometricPolynomialPrimitive

Parameters:

scalar - for addition

Returns:

resulting TrigonometricPolynomialPrimitive

scalarDivide

public TrigonometricPolynomialPrimitive scalarDivide(double scalar)

Divide by a scalar

Parameters:

scalar - to divide polynomial by

Returns:

polynomial divide by scalar

scalarMultiply

public TrigonometricPolynomialPrimitive scalarMultiply(double scalar)

Multiply TrigonometricPolynomialPrimitive by a scalar

Parameters:

scalar - for multiplication

Returns:

resulting TrigonometricPolynomialPrimitive

scalarSubtract

public TrigonometricPolynomialPrimitive scalarSubtract(double scalar)

Subtract a scalar

Parameters:

scalar - to subtract

Returns:

new TrigonometricPolynomialFunction

subtract

public TrigonometricPolynomialPrimitive subtract(TrigonometricPolynomialPrimitive poly)

Subtract two TrigonometricPolynomialPrimitive

Parameters:

poly - to Subtract

Returns:

resulting TrigonometricPolynomialPrimitive

subtract

public TrigonometricPolynomialPrimitive subtract(PolynomialFunction poly)

Subtract a PolynomialFunction

Parameters:

poly - to Subtract

Returns:

resulting TrigonometricPolynomialPrimitive

subtract

public TrigonometricPolynomialPrimitive subtract(TrigonometricPolynomialFunction poly)

Subtract a TrigonometricPolynomialFunction

Parameters:

poly - to Subtract

Returns:

resulting TrigonometricPolynomialPrimitive

toString

public String toString()

Get String representation of polynomial

Overrides:

toString in class Object

Returns:

string

value

public double value(double x)

Get value at given abscissa

Specified by:

value in interface UnivariateFunction

Parameters:

x - abscissa

Returns:

value a given abscissa

value

public double value(int n,
           double x)

Get value of derivative

Parameters:

n - order of derivative

x - abscissa

Returns:

value of derivative at abscissa

value

public DerivativeStructure value(DerivativeStructure t)

Simple mathematical function.

UnivariateDifferentiableFunction classes compute both the value and the first derivative of the function.

Specified by:

value in interface UnivariateDifferentiableFunction

Parameters:

t - function input value

Returns:

function result