SAMRAI::math::PatchEdgeDataNormOpsReal

SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE > Class Template Reference

#include <source/mathops/edge/PatchEdgeDataNormOpsReal.h>

Inheritance diagram for SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >:

Inheritance graph
[legend]
List of all members.

Public Member Functions

 PatchEdgeDataNormOpsReal ()
virtual ~PatchEdgeDataNormOpsReal ()
int numberOfEntries (const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &data, const hier::Box< DIM > &box) const
double sumControlVolumes (const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &data, const tbox::Pointer< pdat::EdgeData< DIM, double > > &cvol, const hier::Box< DIM > &box) const
void abs (tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &dst, const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &src, const hier::Box< DIM > &box) const
double L1Norm (const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &data, const hier::Box< DIM > &box, const tbox::Pointer< pdat::EdgeData< DIM, double > > cvol=(0)) const
double L2Norm (const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &data, const hier::Box< DIM > &box, const tbox::Pointer< pdat::EdgeData< DIM, double > > cvol=(0)) const
double weightedL2Norm (const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &data, const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &weight, const hier::Box< DIM > &box, const tbox::Pointer< pdat::EdgeData< DIM, double > > cvol=(0)) const
double RMSNorm (const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &data, const hier::Box< DIM > &box, const tbox::Pointer< pdat::EdgeData< DIM, double > > cvol=(0)) const
double weightedRMSNorm (const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &data, const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &weight, const hier::Box< DIM > &box, const tbox::Pointer< pdat::EdgeData< DIM, double > > cvol=((pdat::EdgeData< DIM, double > *)(0))) const
double maxNorm (const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &data, const hier::Box< DIM > &box, const tbox::Pointer< pdat::EdgeData< DIM, double > > cvol=(0)) const
TYPE dot (const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &data1, const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &data2, const hier::Box< DIM > &box, const tbox::Pointer< pdat::EdgeData< DIM, double > > cvol=(0)) const
TYPE integral (const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &data, const hier::Box< DIM > &box, const tbox::Pointer< pdat::EdgeData< DIM, double > > vol) const

Detailed Description

template<int DIM, class TYPE>
class SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >

Class PatchEdgeDataNormOpsReal<DIM> provides a collection of common norm operations that may be applied to real (double or float) numerical edge-centered patch data. The primary intent of this class is to define part of the interface for an PatchEdgeDataOpsReal<DIM> object which provides access operations that may be used to manipulate edge-centered patch data. Each member function accepts a box argument indicating the region of index space on which the operation should be performed. The operation will be performed on the intersection of this box and those boxes corresponding to the patch data objects. Also, each operation allows an additional edge-centered patch data object to be used to represent a control volume that weights the contribution of each data entry in the given norm calculation. Note that the control volume patch data must be of type double and have edge-centered geometry (i.e., the same as the data itself). The use of control volumes is important when these operations are used in vector kernels where the data resides over multiple levels of spatial resolution in an AMR hierarchy. If the control volume is not given in the function call, it will be ignored in the calculation. Also, note that the depth of the control volume patch data object must be either 1 or be equal to the depth of the other data objects.

These operations typically apply only to the numerical standard built-in types, such as double, float, and the complex type (which may or may not be a built-in type depending on the C++ compiler). This templated class should only be used to instantiate objects with double or float as the template parameter. Note that a similar set of norm operations is implemented for complex patch data in the class PatchEdgeDataNormOpsComplex<DIM>.

See also:
math::ArrayDataNormOpsReal

Constructor & Destructor Documentation

template<int DIM, class TYPE>
SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::PatchEdgeDataNormOpsReal (  ) 

Empty constructor and destructor.

template<int DIM, class TYPE>
SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::~PatchEdgeDataNormOpsReal (  )  [virtual]

Member Function Documentation

template<int DIM, class TYPE>
int SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::numberOfEntries ( const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  data,
const hier::Box< DIM > &  box 
) const

Return the number of data values for the edge-centered data object in the given box. Note that it is assumed that the box refers to the cell-centered index space corresponding to the patch hierarchy.

template<int DIM, class TYPE>
double SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::sumControlVolumes ( const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  data,
const tbox::Pointer< pdat::EdgeData< DIM, double > > &  cvol,
const hier::Box< DIM > &  box 
) const

Return sum of control volume entries for the edge-centered data object.

template<int DIM, class TYPE>
void SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::abs ( tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  dst,
const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  src,
const hier::Box< DIM > &  box 
) const

Set destination component to absolute value of source component. That is, each destination entry is set to $d_i = \| s_i \|$.

template<int DIM, class TYPE>
double SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::L1Norm ( const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  data,
const hier::Box< DIM > &  box,
const tbox::Pointer< pdat::EdgeData< DIM, double > >  cvol = (0) 
) const

Return discrete $L_1$-norm of the data using the control volume to weight the contribution of each data entry to the sum. That is, the return value is the sum $\sum_i ( \| data_i \| cvol_i )$. If the control volume is NULL, the return value is $\sum_i ( \| data_i \| )$.

template<int DIM, class TYPE>
double SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::L2Norm ( const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  data,
const hier::Box< DIM > &  box,
const tbox::Pointer< pdat::EdgeData< DIM, double > >  cvol = (0) 
) const

Return discrete $L_2$-norm of the data using the control volume to weight the contribution of each data entry to the sum. That is, the return value is the sum $\sqrt{ \sum_i ( (data_i)^2 cvol_i ) }$. If the control volume is NULL, the return value is $\sqrt{ \sum_i ( (data_i)^2 cvol_i ) }$.

template<int DIM, class TYPE>
double SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::weightedL2Norm ( const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  data,
const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  weight,
const hier::Box< DIM > &  box,
const tbox::Pointer< pdat::EdgeData< DIM, double > >  cvol = (0) 
) const

Return discrete weighted $L_2$-norm of the data using the control volume to weight the contribution of the data and weight entries to the sum. That is, the return value is the sum $\sqrt{ \sum_i ( (data_i * weight_i)^2 cvol_i ) }$. If the control volume is NULL, the return value is $\sqrt{ \sum_i ( (data_i * weight_i)^2 ) }$.

template<int DIM, class TYPE>
double SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::RMSNorm ( const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  data,
const hier::Box< DIM > &  box,
const tbox::Pointer< pdat::EdgeData< DIM, double > >  cvol = (0) 
) const

Return discrete root mean squared norm of the data. If the control volume is not NULL, the return value is the $L_2$-norm divided by the square root of the sum of the control volumes. Otherwise, the return value is the $L_2$-norm divided by the square root of the number of data entries.

template<int DIM, class TYPE>
double SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::weightedRMSNorm ( const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  data,
const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  weight,
const hier::Box< DIM > &  box,
const tbox::Pointer< pdat::EdgeData< DIM, double > >  cvol = ((pdat::EdgeData< DIM, double > *)(0)) 
) const

Return discrete weighted root mean squared norm of the data. If the control volume is not NULL, the return value is the weighted $L_2$-norm divided by the square root of the sum of the control volumes. Otherwise, the return value is the weighted $L_2$-norm divided by the square root of the number of data entries.

template<int DIM, class TYPE>
double SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::maxNorm ( const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  data,
const hier::Box< DIM > &  box,
const tbox::Pointer< pdat::EdgeData< DIM, double > >  cvol = (0) 
) const

Return the $\max$-norm of the data using the control volume to weight the contribution of each data entry to the maximum. That is, the return value is $\max_i ( \| data_i \| )$, where the max is over the data elements where $cvol_i > 0$. If the control volume is NULL, it is ignored during the computation of the maximum.

template<int DIM, class TYPE>
TYPE SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::dot ( const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  data1,
const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  data2,
const hier::Box< DIM > &  box,
const tbox::Pointer< pdat::EdgeData< DIM, double > >  cvol = (0) 
) const

Return the dot product of the two data arrays using the control volume to weight the contribution of each product to the sum. That is, the return value is the sum $\sum_i ( data1_i * data2_i * cvol_i )$. If the control volume is NULL, it is ignored during the summation.

template<int DIM, class TYPE>
TYPE SAMRAI::math::PatchEdgeDataNormOpsReal< DIM, TYPE >::integral ( const tbox::Pointer< pdat::EdgeData< DIM, TYPE > > &  data,
const hier::Box< DIM > &  box,
const tbox::Pointer< pdat::EdgeData< DIM, double > >  vol 
) const

Return the integral of the function represented by the data array. The return value is the sum $\sum_i ( data_i * vol_i )$.

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