TrigonometricPolynomialPrimitive (patrius 4.3 API)

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

All Methods Static Methods Instance Methods Concrete 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 n^th 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 n^th 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

Class TrigonometricPolynomialPrimitive

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

TrigonometricPolynomialPrimitive

Method Detail

add

add

add

derivative

derivative

evaluate

getLinearPolynomial

getTrigonometricPolynomial

negate

polynomialDerivative

polynomialDerivative

polynomialDerivative

scalarAdd

scalarDivide

scalarMultiply

scalarSubtract

subtract

subtract

subtract

toString

value

value

value