ChebyshevFunction Class Reference

Chebyshev polynomial representation of a(t). More...

#include <scalarFunction.h>

Inheritance diagram for ChebyshevFunction:

Public Member Functions
	ChebyshevFunction (const ConfigOptions &options)
virtual double	a (double t) const
	Compute the value of the function at time t.
virtual double	dadt (double t) const
	Compute the time derivative of the function at time t.
virtual void	setCoefficients (int n, const double *coeffs)
	The first two elements are the time interval \( (t_0, t_1) \) used to map the time onto the interval (-1, 1).
Public Member Functions inherited from ScalarFunction
	ScalarFunction ()
virtual	~ScalarFunction ()
virtual void	setCoefficients (int n, const double *coeffs)
	Set the parameters associated with this function.
virtual double	a (double t) const =0
	Compute the value of the function at time t.
virtual double	dadt (double t) const =0
	Compute the time derivative of the function at time t.

Private Attributes
double	T0
double	T1
dvec	coeffs

Detailed Description

Chebyshev polynomial representation of a(t).

\[ a(t) = \sum_{n=0}^N a_n T_n(x) \]

where \( T_n(x) \) are Chebyshev polynomials of the first kind and \( x = 2 * (t-t_o)/(t_1-t_0) - 1 \) maps t onto the interval [-1,1].

Constructor & Destructor Documentation

ChebyshevFunction()

ChebyshevFunction::ChebyshevFunction ( const ConfigOptions &  options )

explicit

Member Function Documentation

a()

double ChebyshevFunction::a ( double  t ) const

virtual

Compute the value of the function at time t.

Implements ScalarFunction.

dadt()

double ChebyshevFunction::dadt ( double  t ) const

virtual

Compute the time derivative of the function at time t.

Implements ScalarFunction.

setCoefficients()

void ChebyshevFunction::setCoefficients ( int  n, const double *  coeffs  )

virtual

The first two elements are the time interval \( (t_0, t_1) \) used to map the time onto the interval (-1, 1).

The remaining elements are the coefficients used to multiply the Chebyshev polynomials.

Reimplemented from ScalarFunction.

Member Data Documentation

T0

double ChebyshevFunction::T0

private

T1

double ChebyshevFunction::T1

private

coeffs

dvec ChebyshevFunction::coeffs

private

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

• src/scalarFunction.h
• src/scalarFunction.cpp