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Public Member Functions | Static Public Member Functions | Protected Member Functions | List of all members
ug::EquidistantLagrange1D Class Reference

#include <lagrange1d.h>

+ Inheritance diagram for ug::EquidistantLagrange1D:

Public Member Functions

 EquidistantLagrange1D (const size_t i, const size_t degree)
 
- 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
 

Static Public Member Functions

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

Protected Member Functions

void compute_coeffs (const int i, const int p)
 computes the coefficients for passed interpolation points
 
- Protected Member Functions inherited from ug::Polynomial1D
void set_coefficients (const std::vector< number > &a)
 

Detailed Description

EquiDistant Lagrange Function

Constructor & Destructor Documentation

◆ EquidistantLagrange1D()

ug::EquidistantLagrange1D::EquidistantLagrange1D ( const size_t  i,
const size_t  degree 
)
inline

creates a lagrange polynomial with equidistant interpolation points

Parameters
[in]inumber of interpolation point, where polynom is 1
[in]degreedegree of polynom

References compute_coeffs(), ug::Polynomial1D::degree(), and UG_ASSERT.

Member Function Documentation

◆ compute_coeffs()

void ug::EquidistantLagrange1D::compute_coeffs ( const int  i,
const int  p 
)
inlineprotected

computes the coefficients for passed interpolation points

References p, and ug::Polynomial1D::set_coefficients().

Referenced by EquidistantLagrange1D().

◆ position()

static number ug::EquidistantLagrange1D::position ( const size_t  i,
const size_t  degree 
)
inlinestatic

returns the position of the i'th interpolation point

References ug::Polynomial1D::degree(), and UG_ASSERT.

Referenced by ug::LagrangeLSFS< ReferenceEdge, TOrder >::position(), ug::FlexLagrangeLSFS< ReferenceEdge >::position(), ug::LagrangeLSFS< ReferenceQuadrilateral, TOrder >::position(), ug::FlexLagrangeLSFS< ReferenceQuadrilateral >::position(), ug::LagrangeLSFS< ReferencePrism, TOrder >::position(), ug::FlexLagrangeLSFS< ReferencePrism >::position(), ug::LagrangeLSFS< ReferencePyramid, TOrder >::position(), ug::LagrangeLSFS< ReferenceHexahedron, TOrder >::position(), ug::FlexLagrangeLSFS< ReferenceHexahedron >::position(), and ug::LagrangeLSFS< ReferenceOctahedron, TOrder >::position().

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