#include <lagrange1d.h>

Inheritance diagram for ug::Lagrange1D:

Public Member Functions
	Lagrange1D (const size_t i, const std::vector< number > &vPos)

number	position (const size_t i) const
	returns the position of the i'th interpolation point

Public Member Functions inherited from ug::Polynomial1D
size_t	degree () const

Polynomial1D	derivative () const
	returns the derivative of this polynomial as a polynomial

Polynomial1D &	operator*= (const Polynomial1D &v)
	multiply by a polynomial

Polynomial1D &	operator*= (number scale)
	multiply by a scalar

	Polynomial1D (const std::vector< number > &a)
	Constructor passing coefficients for the polynomial.

	Polynomial1D (size_t degree=0)
	Constructor producing zero polynomial of degree 'degree'.

number	value (const number x) const
	evaluate the value of the polynom at x

Protected Member Functions
void	compute_coeffs (const size_t i, const std::vector< number > &vPos)
	computes the coefficients for passed interpolation points

Protected Member Functions inherited from ug::Polynomial1D
void	set_coefficients (const std::vector< number > &a)

Private Attributes
std::vector< number >	m_vPos

Detailed Description

Lagrange Polynomial for arbitrary points

Constructor & Destructor Documentation

◆ Lagrange1D()

ug::Lagrange1D::Lagrange1D	(	const size_t	i,
		const std::vector< number > &	vPos
	)

inline

constructor for lagrange polynomial i using interpolation points pos This constructor creates a lagrange polynomial with interpolation points given in pos for the i-th point, i.e. value(pos_i) == 1, value(pos_j) == 0 for j != i. Therefore, it must hold that 0 <= i < pos.size()

References compute_coeffs(), and m_vPos.

Member Function Documentation

◆ compute_coeffs()

void ug::Lagrange1D::compute_coeffs	(	const size_t	i,
		const std::vector< number > &	vPos
	)

inlineprotected

computes the coefficients for passed interpolation points

References ug::Polynomial1D::set_coefficients().

Referenced by Lagrange1D().

◆ position()

number ug::Lagrange1D::position ( const size_t i ) const

inline

returns the position of the i'th interpolation point

References m_vPos, and UG_ASSERT.

Member Data Documentation

◆ m_vPos

std::vector<number> ug::Lagrange1D::m_vPos

private

Referenced by Lagrange1D(), and position().

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

ugbase/lib_disc/local_finite_element/common/lagrange1d.h

Public Member Functions

Protected Member Functions

Private Attributes