Collection of kernels. More...

#include </home/wojtek/Projects/BEM/bempp-sven/bempp/lib/fiber/collection_of_kernels.hpp>

Public Types
typedef ValueType_	ValueType

typedef ScalarTraits < ValueType >::RealType	CoordinateType

Public Member Functions
virtual	~CollectionOfKernels ()
	Destructor.

virtual void	addGeometricalDependencies (size_t &testGeomDeps, size_t &trialGeomDeps) const =0
	Retrieve types of geometrical data on which the kernels depend. More...

virtual void	evaluateAtPointPairs (const GeometricalData< CoordinateType > &testGeomData, const GeometricalData< CoordinateType > &trialGeomData, CollectionOf3dArrays< ValueType > &result) const =0
	Evaluate the kernels at a list of (test point, trial point) pairs. More...

virtual void	evaluateOnGrid (const GeometricalData< CoordinateType > &testGeomData, const GeometricalData< CoordinateType > &trialGeomData, CollectionOf4dArrays< ValueType > &result) const =0
	Evaluate the kernels on a tensor grid of test and trial points. More...

virtual std::pair< const char *, int >	evaluateClCode () const
	Currently unused.

virtual CoordinateType	estimateRelativeScale (CoordinateType distance) const =0

Detailed Description

template<typename ValueType_>
class Fiber::CollectionOfKernels< ValueType_ >

Collection of kernels.

This class represents a collection of one or more integral operator kernels. A kernel is a function mapping a pair of points $(x, y)$ located on two, possibly identical, elements of a grid to a scalar, vector or tensor of a fixed dimension, with real or complex elements. It can depend on any geometrical data related to $x$ and $y$ —not only their global coordinates, but also the unit vectors normal to the grid at these points or the Jacobian matrices. All kernels in a collection are evaluated together and hence may reuse results of any intermediate calculations.

Template Parameters

ValueType_ Type used to represent the values of kernels (or the values of their components, in case or vector- or tensor-valued kernels). May be one of: float, double, std::complex<float> or std::complex<double>.

Member Function Documentation

template<typename ValueType_>

virtual void Fiber::CollectionOfKernels< ValueType_ >::addGeometricalDependencies	(	size_t &	testGeomDeps,
		size_t &	trialGeomDeps
	)		const

pure virtual

Retrieve types of geometrical data on which the kernels depend.

An implementation of this function for a particular kernel collection should modify the testGeomDeps and trialGeomDeps bitfields by adding to them, using the bitwise OR operation, an appropriate combination of the flags defined in the enum GeometricalDataType.

For example, a collection of kernels depending on the global coordinates of test and trial points and on the orientation of the vector normal to the trial element at trial points should modify the arguments as follows:

testGeomDeps |= GLOBALS;

trialGeomDeps |= GLOBALS | NORMALS;

Implemented in Fiber::DefaultCollectionOfKernels< Functor >.

template<typename ValueType_>

virtual void Fiber::CollectionOfKernels< ValueType_ >::evaluateAtPointPairs	(	const GeometricalData< CoordinateType > &	testGeomData,
		const GeometricalData< CoordinateType > &	trialGeomData,
		CollectionOf3dArrays< ValueType > &	result
	)		const

pure virtual

Evaluate the kernels at a list of (test point, trial point) pairs.

Parameters

[in]	testGeomData	Geometrical data related to $n \geq 0$ points on the test element. The number of points, , can be obtained by calling `testGeomData.pointCount()`.
[in]	trialGeomData	Geometrical data related to $n \geq 0$ points on the trial element. The number of test and trial points should be the same.
[out]	result	A collection of 3-dimensional arrays intended to store the kernel values. On output, `result[i][(j, k, p)` should contain the (j, k)th entry in the tensor being the value of ith kernel at pth test point and pth trial point.

An implementation of this function may assume that testGeomData and trialGeomData contain all the types of geometrical data specified in the implementation of addGeometricalDependencies(). Before filling the arrays from result, this function must ensure that size of the array collection and the dimensions of the individual arrays are correct, calling CollectionOf3dArrays::set_size() and _3dArray::set_size() if necessary.

template<typename ValueType_>

virtual void Fiber::CollectionOfKernels< ValueType_ >::evaluateOnGrid	(	const GeometricalData< CoordinateType > &	testGeomData,
		const GeometricalData< CoordinateType > &	trialGeomData,
		CollectionOf4dArrays< ValueType > &	result
	)		const

pure virtual

Evaluate the kernels on a tensor grid of test and trial points.

Parameters

[in]	testGeomData	Geometrical data related to $m \geq 0$ points on the test element. The number of points, , can be obtained by calling `testGeomData.pointCount()`.
[in]	trialGeomData	Geometrical data related to $n \geq 0$ points on the trial element. The number of points, , can be obtained by calling `trialGeomData.pointCount()`.
[out]	result	A collection of 4-dimensional arrays intended to store the kernel values. On output, `result[i][(j, k, p, q)` should contain the (j, k)th entry in the tensor being the value of ith kernel at pth test point and qth trial point.

An implementation of this function may assume that testGeomData and trialGeomData contain all the types of geometrical data specified in the implementation of addGeometricalDependencies(). Before filling the arrays from result, this function must ensure that size of the array collection and the dimensions of the individual arrays are correct, calling CollectionOf4dArrays::set_size() and _4dArray::set_size() if necessary.

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

/home/wojtek/Projects/BEM/bempp-sven/bempp/lib/fiber/collection_of_kernels.hpp

Public Types

Public Member Functions

Detailed Description

template<typename ValueType_> class Fiber::CollectionOfKernels< ValueType_ >

Member Function Documentation

template<typename ValueType_>
class Fiber::CollectionOfKernels< ValueType_ >