A bilinear form with user-provided operators. More...
#include <BilinearForm.h>
Public Member Functions | |
| BilinearForm (O1 o1, O2 o2) | |
| Constructor with two user-provided operators. | |
| BilinearForm (O2 o2) | |
| Constructor with one user-provided operator. | |
| BilinearForm () | |
| Constructor without a user-provided operator. | |
| template<typename T , size_t ordera, size_t orderb> | |
| T | evaluate (const Spline< T, ordera > &a, const Spline< T, orderb > &b) const |
| Evaluates the bilinear form for two particular splines. | |
| template<typename T , size_t ordera, size_t orderb> | |
| T | operator() (const Spline< T, ordera > &a, const Spline< T, orderb > &b) const |
Detailed Description
template<typename O1, typename O2, std::enable_if_t< operators::are_operators_v< O1, O2 >, bool > = true>
class bspline::integration::BilinearForm< O1, O2, >
class bspline::integration::BilinearForm< O1, O2, >
A bilinear form with user-provided operators.
Represents the bilinear form
![\[\left\langle a,\, b\right\rangle =
\left\langle \hat{O}_1\,a\,\middle|\,\hat{O}_2\,b\right\rangle =
\int\limits_{-\infty}^{\infty} \mathrm{d}x~\left[\hat{O}_1\,a(x)\right]
\,\,\left[\hat{O}_2\,b(x)\right] \]](form_1_dark.png)
with the operators 
- Template Parameters
-
O1 The type of the operator applied to the first spline. O2 The type of the operator applied to the second spline.
Constructor & Destructor Documentation
◆ BilinearForm() [1/3]
template<typename O1 , typename O2 , std::enable_if_t< operators::are_operators_v< O1, O2 >, bool > = true>
|
inline |
Constructor with two user-provided operators.
Constructor constructing a BilinearForm from the two operatos.
- Parameters
-
o1 The operator acting on the first (left) spline. o2 The operator acting on the second (right) spline.
◆ BilinearForm() [2/3]
template<typename O1 , typename O2 , std::enable_if_t< operators::are_operators_v< O1, O2 >, bool > = true>
|
inlineexplicit |
Constructor with one user-provided operator.
Constructor constructing a BilinearForm from only the 
- Parameters
-
o2 The operator acting on the second (right) spline.
◆ BilinearForm() [3/3]
template<typename O1 , typename O2 , std::enable_if_t< operators::are_operators_v< O1, O2 >, bool > = true>
|
inline |
Constructor without a user-provided operator.
Default constructor which default constructs both operators.
Member Function Documentation
◆ evaluate()
template<typename O1 , typename O2 , std::enable_if_t< operators::are_operators_v< O1, O2 >, bool > = true>
|
inline |
Evaluates the bilinear form for two particular splines.
- Parameters
-
a The first (left) spline. b The second (right) spline.
- Template Parameters
-
T The datatype of the splines. ordera The order of the first (left) spline. orderb The order of the second (right) spline.
- Exceptions
-
BSplineException If the two splines are defined on different grids.
- Returns
- The value of the bilinear form for the two splines.
◆ operator()()
template<typename O1 , typename O2 , std::enable_if_t< operators::are_operators_v< O1, O2 >, bool > = true>
|
inline |
Alias for BilinearForm::evaluate().
Evaluates the bilinear form for two particular splines.
- Parameters
-
a The first (left) spline. b The second (right) spline.
- Template Parameters
-
T The datatype of the splines. ordera The order of the first (left) spline. orderb The order of the second (right) spline.
- Exceptions
-
BSplineException If the two splines are defined on different grids.
- Returns
- The value of the bilinear form for the two splines.
The documentation for this class was generated from the following file:
- include/bspline/integration/BilinearForm.h
