concepts::LaguerreBasis< mode > Class Template Reference
Polynomial functions which gives a basis of the semi-infinite intervals after multiplication with factor. More...
#include <laguerre.hh>
Public Member Functions | |
| LaguerreBasis (const int P, const Real *xP, const int NxP) | |
| Constructor. More... | |
| uint | n () const |
| Returns the number of shape functions. More... | |
| uint | nP () const |
| Returns the number of abscissas (in which the shape functions are evaluated) More... | |
| const Real * | values () const |
| Returns the values of the shape functions. More... | |
| ~LaguerreBasis () | |
Protected Member Functions | |
| virtual std::ostream & | info (std::ostream &os) const |
| Returns information in an output stream. More... | |
Protected Attributes | |
| Real * | values_ |
| Values of the shape functions. More... | |
Private Attributes | |
| uint | n_ |
| Number of shape functions. More... | |
| uint | nP_ |
| Number of points in which the shape functions are evaluated. More... | |
Detailed Description
template<int mode>
class concepts::LaguerreBasis< mode >
Polynomial functions which gives a basis of the semi-infinite intervals after multiplication with factor.
![\[exp(-x/2)\]](form_610.png)
.
The polynomials are defined by
![\[\phi_n(x) = L_n(x) - L_{n-1}(x)\]](form_611.png)
where 
are the Laguerre polynomials.
It is 
and 
for all higher functions.
The class holds all functions up to a maximal index 
.
- Parameters
-
mode Template parameter: normal, derivatives. Can take the values - 0 – normal,
- 1 – derivatives.
Definition at line 67 of file laguerre.hh.
Constructor & Destructor Documentation
◆ LaguerreBasis()
| concepts::LaguerreBasis< mode >::LaguerreBasis | ( | const int | P, |
| const Real * | xP, | ||
| const int | NxP | ||
| ) |
Constructor.
- Parameters
-
P Highest order of the function, begin with 1 xP Points in [0,inf) NxP Number of points
◆ ~LaguerreBasis()
| concepts::LaguerreBasis< mode >::~LaguerreBasis | ( | ) |
Member Function Documentation
◆ info()
|
protectedvirtual |
Returns information in an output stream.
Implements concepts::ShapeFunction1D< Real >.
◆ n()
|
inlineinherited |
Returns the number of shape functions.
Definition at line 35 of file shapefunction.hh.
◆ nP()
|
inlineinherited |
Returns the number of abscissas (in which the shape functions are evaluated)
Definition at line 38 of file shapefunction.hh.
◆ values()
|
inlineinherited |
Returns the values of the shape functions.
Definition at line 40 of file shapefunction.hh.
Member Data Documentation
◆ n_
|
privateinherited |
Number of shape functions.
Definition at line 48 of file shapefunction.hh.
◆ nP_
|
privateinherited |
Number of points in which the shape functions are evaluated.
Definition at line 51 of file shapefunction.hh.
◆ values_
|
protectedinherited |
Values of the shape functions.
Definition at line 45 of file shapefunction.hh.
The documentation for this class was generated from the following file:
- integration/laguerre.hh