LagrangeInterpPolynomial Class Reference

Derived basis polynomial class for 1-D Lagrange interpolation polynomials. More...

Inheritance diagram for LagrangeInterpPolynomial:

List of all members.

Public Member Functions
	LagrangeInterpPolynomial ()
	default constructor
	LagrangeInterpPolynomial (const RealVector &interpolation_pts)
	standard constructor
	~LagrangeInterpPolynomial ()
	destructor
const Real &	get_value (const Real &x, unsigned short i)
	parameter x
const Real &	get_gradient (const Real &x, unsigned short i)
	given parameter x
void	interpolation_points (const RealVector &interpolation_pts)
	set interpolationPts
Private Member Functions
void	precompute_data ()
	precompute data that is reused repeatedly within Lagrange interpolation
Private Attributes
RealVector	interpolationPts
	evaluated at the j_th interpolation point produces Kronecker delta_ij
size_t	numInterpPts
	number of 1-D interpolation points
RealVector	lagDenominators
	precompute_data()

---

Detailed Description

Derived basis polynomial class for 1-D Lagrange interpolation polynomials.

The LagrangeInterpPolynomial class evaluates a univariate Lagrange interpolation polynomial. The order of the polynomial is dictated by the number of interpolation points (order = N_p - 1). It enables multidimensional interpolants within InterpPolyApproximation.

---

Member Function Documentation

const Real & get_value	(	const Real &	x,
		unsigned short	i
	)			[virtual]

parameter x

Compute value of Lagrange polynomial for interpolation point i.

Reimplemented from BasisPolynomial.

const Real & get_gradient	(	const Real &	x,
		unsigned short	i
	)			[virtual]

given parameter x

Compute derivative with respect to x of Lagrange polynomial for interpolation point i.

Reimplemented from BasisPolynomial.

void precompute_data

(

)

[private]

precompute data that is reused repeatedly within Lagrange interpolation

Pre-compute denominator products that are only a function of the interpolationPts.

---

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

• LagrangeInterpPolynomial.H
• LagrangeInterpPolynomial.C

---