Intrepid
Public Member Functions | Private Attributes
Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight > Class Template Reference

Utilizes 1D cubature (integration) rules contained in the library sandia_rules (John Burkardt, Scientific Computing, Florida State University) within Intrepid. More...

#include <Intrepid_CubatureTensorSorted.hpp>

Inheritance diagram for Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >:
Intrepid::Cubature< Scalar, ArrayPoint, ArrayWeight >

List of all members.

Public Member Functions

 CubatureTensorSorted (int numPoints=0, int dimension=1)
 CubatureTensorSorted (CubatureLineSorted< Scalar > &cubLine)
 Constructor.
 CubatureTensorSorted (int dimension, std::vector< int > numPoints1D, std::vector< EIntrepidBurkardt > rule1D, bool isNormalized)
 Constructor.
 CubatureTensorSorted (int dimension, std::vector< int > numPoints1D, std::vector< EIntrepidBurkardt > rule1D, std::vector< EIntrepidGrowth > growth1D, bool isNormalized)
 Constructor.
 CubatureTensorSorted (int dimension, int maxNumPoints, std::vector< EIntrepidBurkardt > rule1D, std::vector< EIntrepidGrowth > growth1D, bool isNormalized)
 Constructor.
void getCubature (ArrayPoint &cubPoints, ArrayWeight &cubWeights) const
 Returns cubature points and weights (return arrays must be pre-sized/pre-allocated).
int getNumPoints () const
 Returns the number of cubature points.
void getAccuracy (std::vector< int > &accuracy) const
 Returns max. degree of polynomials that are integrated exactly. The return vector has size 1.
int getDimension () const
 Returns dimension of domain of integration.
std::map< std::vector< Scalar >
, int >::iterator 
begin ()
 Initiate iterator at the beginning of data.
std::map< std::vector< Scalar >
, int >::iterator 
end ()
 Initiate iterator at the end of data.
void insert (typename std::map< std::vector< Scalar >, int >::iterator it, std::vector< Scalar > point, Scalar weight)
 Insert a node and weight into data near the iterator position.
std::vector< Scalar > getNode (typename std::map< std::vector< Scalar >, int >::iterator it)
 Get a specific node described by the iterator location.
Scalar getWeight (int node)
 Get a specific weight described by the integer location.
Scalar getWeight (std::vector< Scalar > point)
 Get a specific weight described by the iterator location.
void update (Scalar alpha2, CubatureTensorSorted< Scalar > &cubRule2, Scalar alpha1)
 Replace CubatureLineSorted values with "this = alpha1*this+alpha2*cubRule2".
void normalize ()
 Normalize CubatureLineSorted weights.

Private Attributes

std::map< std::vector< Scalar >
, int > 
points_
 Contains nodes of this cubature rule.
std::vector< Scalar > weights_
 Contains weights of this cubature rule.
int numPoints_
 Contains the number of nodes for this cubature rule.
std::vector< int > degree_
 The degree of polynomials that are integrated exactly by this cubature rule.
int dimension_
 Dimension of integration domain.

Detailed Description

template<class Scalar, class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>
class Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >

Utilizes 1D cubature (integration) rules contained in the library sandia_rules (John Burkardt, Scientific Computing, Florida State University) within Intrepid.

This class contains ten rules:

Definition at line 90 of file Intrepid_CubatureTensorSorted.hpp.


Constructor & Destructor Documentation

template<class Scalar , class ArrayPoint , class ArrayWeight >
Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted ( CubatureLineSorted< Scalar > &  cubLine)
template<class Scalar , class ArrayPoint , class ArrayWeight >
Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted ( int  dimension,
std::vector< int >  numPoints1D,
std::vector< EIntrepidBurkardt >  rule1D,
bool  isNormalized 
)

Constructor.

Parameters:
dimension[in] - The number of spatial dimensions.
numPoints1D[in] - The number of cubature points in each direction.
rule1D[in] - The cubature rule for each direction.
isNormalized[in] - Flag whether or not to normalize the cubature weights.

Definition at line 87 of file Intrepid_CubatureTensorSortedDef.hpp.

References Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::begin(), Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::end(), Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getAccuracy(), Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getNumPoints(), and Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getWeight().

template<class Scalar , class ArrayPoint , class ArrayWeight >
Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted ( int  dimension,
std::vector< int >  numPoints1D,
std::vector< EIntrepidBurkardt >  rule1D,
std::vector< EIntrepidGrowth >  growth1D,
bool  isNormalized 
)

Constructor.

Parameters:
dimension[in] - The number of spatial dimensions.
numPoints1D[in] - The number of cubature points in each direction.
rule1D[in] - The cubature rule for each direction.
isNormalized[in] - Flag whether or not to normalize the cubature weights.

Definition at line 123 of file Intrepid_CubatureTensorSortedDef.hpp.

References Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::begin(), Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::end(), Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getAccuracy(), Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getNumPoints(), and Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getWeight().

template<class Scalar , class ArrayPoint , class ArrayWeight >
Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted ( int  dimension,
int  maxNumPoints,
std::vector< EIntrepidBurkardt >  rule1D,
std::vector< EIntrepidGrowth >  growth1D,
bool  isNormalized 
)

Constructor.

Parameters:
dimension[in] - The number of spatial dimensions.
maxNumPoints[in] - The maximum number of cubature points in each direction.
rule1D[in] - The cubature rule for each direction.
growth1D[in] - Growth rule for each direction.
isNormalized[in] - Flag whether or not to normalize the cubature weights.

Definition at line 163 of file Intrepid_CubatureTensorSortedDef.hpp.

References Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::begin(), Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::end(), Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getAccuracy(), Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getNumPoints(), and Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getWeight().


Member Function Documentation

template<class Scalar , class ArrayPoint , class ArrayWeight >
void Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getCubature ( ArrayPoint &  cubPoints,
ArrayWeight &  cubWeights 
) const [virtual]

Returns cubature points and weights (return arrays must be pre-sized/pre-allocated).

Parameters:
cubPoints[out] - Array containing the cubature points.
cubWeights[out] - Array of corresponding cubature weights.

Implements Intrepid::Cubature< Scalar, ArrayPoint, ArrayWeight >.

Definition at line 216 of file Intrepid_CubatureTensorSortedDef.hpp.


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