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

#include <Function.h>

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

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

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

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

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

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

T	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_ ()

T	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.

Constructor & Destructor Documentation

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

Member Function Documentation

template<class T>

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

inlinevirtual

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 >.

template<class T>

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

inlinevirtual

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().