/usr/include/dune/localfunctions/raviartthomas/raviartthomassimplex/raviartthomassimplexprebasis.hh is in libdune-localfunctions-dev 2.4.1-1.
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// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_RAVIARTTHOMASPREBASIS_HH
#define DUNE_RAVIARTTHOMASPREBASIS_HH
#include <fstream>
#include <utility>
#include <dune/geometry/genericgeometry/topologytypes.hh>
#include <dune/localfunctions/utility/polynomialbasis.hh>
namespace Dune
{
template <unsigned int dim, class Field>
struct RTPreBasisFactory;
template <unsigned int dim, class Field>
struct RTPreBasisFactoryTraits
{
static const unsigned int dimension = dim;
typedef MonomialBasisProvider<dim,Field> MBasisFactory;
typedef typename MBasisFactory::Object MBasis;
typedef StandardEvaluator<MBasis> EvalMBasis;
typedef PolynomialBasisWithMatrix<EvalMBasis,SparseCoeffMatrix<Field,dim> > Basis;
typedef const Basis Object;
typedef unsigned int Key;
typedef RTPreBasisFactory<dim,Field> Factory;
};
template < class Topology, class Field >
struct RTVecMatrix;
template <unsigned int dim, class Field>
struct RTPreBasisFactory
: public TopologyFactory< RTPreBasisFactoryTraits< dim, Field > >
{
typedef RTPreBasisFactoryTraits< dim, Field > Traits;
static const unsigned int dimension = dim;
typedef typename Traits::Object Object;
typedef typename Traits::Key Key;
template <unsigned int dd, class FF>
struct EvaluationBasisFactory
{
typedef MonomialBasisProvider<dd,FF> Type;
};
template< class Topology >
static Object *createObject ( const Key &order )
{
RTVecMatrix<Topology,Field> vecMatrix(order);
typename Traits::MBasis *mbasis = Traits::MBasisFactory::template create<Topology>(order+1);
typename remove_const<Object>::type *tmBasis =
new typename remove_const<Object>::type(*mbasis);
tmBasis->fill(vecMatrix);
return tmBasis;
}
};
template <class Topology, class Field>
struct RTVecMatrix
{
static const unsigned int dim = Topology::dimension;
typedef MultiIndex<dim,Field> MI;
typedef MonomialBasis<Topology,MI> MIBasis;
RTVecMatrix(unsigned int order)
{
MIBasis basis(order+1);
FieldVector< MI, dim > x;
for( unsigned int i = 0; i < dim; ++i )
x[ i ].set( i, 1 );
std::vector< MI > val( basis.size() );
basis.evaluate( x, val );
col_ = basis.size();
unsigned int notHomogen = 0;
if (order>0)
notHomogen = basis.sizes()[order-1];
unsigned int homogen = basis.sizes()[order]-notHomogen;
row_ = (notHomogen*dim+homogen*(dim+1))*dim;
row1_ = basis.sizes()[order]*dim*dim;
mat_ = new Field*[row_];
int row = 0;
for (unsigned int i=0; i<notHomogen+homogen; ++i)
{
for (unsigned int r=0; r<dim; ++r)
{
for (unsigned int rr=0; rr<dim; ++rr)
{
mat_[row] = new Field[col_];
for (unsigned int j=0; j<col_; ++j)
{
mat_[row][j] = 0.;
}
if (r==rr)
mat_[row][i] = 1.;
++row;
}
}
}
for (unsigned int i=0; i<homogen; ++i)
{
for (unsigned int r=0; r<dim; ++r)
{
mat_[row] = new Field[col_];
for (unsigned int j=0; j<col_; ++j)
{
mat_[row][j] = 0.;
}
unsigned int w;
MI xval = val[notHomogen+i];
xval *= x[r];
for (w=homogen+notHomogen; w<val.size(); ++w)
{
if (val[w] == xval)
{
mat_[row][w] = 1.;
break;
}
}
assert(w<val.size());
++row;
}
}
}
~RTVecMatrix()
{
for (unsigned int i=0; i<rows(); ++i) {
delete [] mat_[i];
}
delete [] mat_;
}
unsigned int cols() const {
return col_;
}
unsigned int rows() const {
return row_;
}
template <class Vector>
void row( const unsigned int row, Vector &vec ) const
{
const unsigned int N = cols();
assert( vec.size() == N );
for (unsigned int i=0; i<N; ++i)
field_cast(mat_[row][i],vec[i]);
}
unsigned int row_,col_,row1_;
Field **mat_;
};
}
#endif // DUNE_RAVIARTTHOMASPREBASIS_HH
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