Simbody  3.7
SimTK::Function_< T >::Polynomial Class Reference

This is a Function_ subclass whose output value is a polynomial of its argument: f(x) = ax^n+bx^(n-1)+...+c. More...

Inheritance diagram for SimTK::Function_< T >::Polynomial:

## Public Member Functions

Polynomial (const Vector_< T > &coefficients)
Create a Function_::Polynomial object. More...

calcValue (const Vector &x) const override
Calculate the value of this function at a particular point. More...

calcDerivative (const Array_< int > &derivComponents, const Vector &x) const override
Calculate a partial derivative of this function at a particular point. More...

int getArgumentSize () const override
Get the number of components expected in the input vector. More...

int getMaxDerivativeOrder () const override
Get the maximum derivative order this Function_ object can calculate. More...

Polynomialclone () const override
Create a new heap-allocated copy of this concrete Function. More...

calcDerivative (const std::vector< int > &derivComponents, const Vector &x) const
This provides compatibility with std::vector without requiring any copying. More...

Public Member Functions inherited from SimTK::Function_< T >
virtual ~Function_ ()

calcDerivative (const std::vector< int > &derivComponents, const Vector &x) const
This provides compatibility with std::vector without requiring any copying. More...

## Detailed Description

### template<class T> class SimTK::Function_< T >::Polynomial

This is a Function_ subclass whose output value is a polynomial of its argument: f(x) = ax^n+bx^(n-1)+...+c.

## ◆ Polynomial()

template<class T>
 SimTK::Function_< T >::Polynomial::Polynomial ( const Vector_< T > & coefficients )
inline

Create a Function_::Polynomial object.

Parameters
 coefficients the polynomial coefficients in order of decreasing powers

## ◆ calcValue()

template<class T>
 T SimTK::Function_< T >::Polynomial::calcValue ( const Vector & x ) const
inlineoverridevirtual

Calculate the value of this function at a particular point.

Parameters
 x the Vector of input arguments. Its size must equal the value returned by getArgumentSize().

Implements SimTK::Function_< T >.

## ◆ calcDerivative() [1/2]

template<class T>
 T SimTK::Function_< T >::Polynomial::calcDerivative ( const Array_< int > & derivComponents, const Vector & x ) const
inlineoverridevirtual

Calculate a partial derivative of this function at a particular point.

Which derivative to take is specified by listing the input components with which to take it. For example, if derivComponents=={0}, that indicates a first derivative with respective to component 0. If derivComponents=={0, 0, 0}, that indicates a third derivative with respective to component 0. If derivComponents=={4, 7}, that indicates a partial second derivative with respect to components 4 and 7.

Parameters
 derivComponents The input components with respect to which the derivative should be taken. Its size must be less than or equal to the value returned by getMaxDerivativeOrder(). x The Vector of input arguments. Its size must equal the value returned by getArgumentSize().
Returns
The value of the selected derivative, which is of type T.

Implements SimTK::Function_< T >.

## ◆ getArgumentSize()

template<class T>
 int SimTK::Function_< T >::Polynomial::getArgumentSize ( ) const
inlineoverridevirtual

Get the number of components expected in the input vector.

Implements SimTK::Function_< T >.

## ◆ getMaxDerivativeOrder()

template<class T>
 int SimTK::Function_< T >::Polynomial::getMaxDerivativeOrder ( ) const
inlineoverridevirtual

Get the maximum derivative order this Function_ object can calculate.

Implements SimTK::Function_< T >.

## ◆ clone()

template<class T>
 Polynomial* SimTK::Function_< T >::Polynomial::clone ( ) const
inlineoverridevirtual

Create a new heap-allocated copy of this concrete Function.

For backwards compatibility this is not pure virtual; it has a default implementation that throws an exception if called. However, it should always be implemented.

Reimplemented from SimTK::Function_< T >.

## ◆ calcDerivative() [2/2]

template<class T>
 T SimTK::Function_< T >::Polynomial::calcDerivative ( const std::vector< int > & derivComponents, const Vector & x ) const
inline

This provides compatibility with std::vector without requiring any copying.

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