hermite.h File Reference

Hermite interpolation. More...

#include "../polynomial/evaluate.h"
#include "../../ads/array/Array.h"
#include <functional>
#include "hermite.ipp"

Classes
class	Hermite< T >
	Class for Hermite interpolation with a number of patches. More...
class	HermiteFunctionDerivative< T >
	Class for Hermite interpolation with a number of patches. More...
Functions
template<typename T >
T	hermiteInterpolate (T t, T value0, T value1, T derivative0, T derivative1)
	Hermite interpolation.
template<typename T >
void	computeHermitePolynomialCoefficients (T value0, T value1, T derivative0, T derivative1, T *coefficients)
	Compute the polynomial coefficients for Hermite interpolation.

Detailed Description

Hermite interpolation.

template<typename T >

void computeHermitePolynomialCoefficients	(	T	value0,
		T	value1,
		T	derivative0,
		T	derivative1,
		T *	coefficients
	)			`[inline]`

Compute the polynomial coefficients for Hermite interpolation.

Parameters:

	value0	f(0)
	value1	f(1)
	derivative0	f'(0)
	derivative1	f'(1)
	coefficients	The coefficients of the cubic polynomial for performing Hermite interpolation of f(x).

The coefficients c of the polynomial are

$c[0] + c[1] x + c[2] x^2 + c[3] x^3.$