/usr/include/dune/localfunctions/raviartthomas/raviartthomasprebasis.hh is in libdune-localfunctions-dev 2.2.1-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 | #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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