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...

#include <Function.h>

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

List of all members.

Public Member Functions
	Polynomial (const Vector_< T > &coefficients)
	Create a Function_::Polynomial object.
T	calcValue (const Vector &x) const
	Calculate the value of this function at a particular point.
T	calcDerivative (const Array_< int > &derivComponents, const Vector &x) const
	Calculate a partial derivative of this function at a particular point.
virtual int	getArgumentSize () const
	Get the number of components expected in the input vector.
int	getMaxDerivativeOrder () const
	Get the maximum derivative order this Function_ object can calculate.
T	calcDerivative (const std::vector< int > &derivComponents, const Vector &x) const
	This provides compatibility with std::vector without requiring any copying.

---

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 [inline, virtual]

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 [inline, virtual]

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 >.

template<class T >

virtual int SimTK::Function_< T >::Polynomial::getArgumentSize

(

)

const [inline, virtual]

Get the number of components expected in the input vector.

Implements SimTK::Function_< T >.

template<class T >

int SimTK::Function_< T >::Polynomial::getMaxDerivativeOrder

(

)

const [inline, virtual]

Get the maximum derivative order this Function_ object can calculate.

Implements SimTK::Function_< T >.

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.

Reimplemented from SimTK::Function_< T >.

---

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

• Function.h