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// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set et ts=4 sw=2 sts=2:
// SPDX-FileCopyrightInfo: Copyright © DUNE Project contributors, see file LICENSE.md in module root
// SPDX-License-Identifier: LicenseRef-GPL-2.0-only-with-DUNE-exception
#include <dune/geometry/referenceelementimplementation.hh>
namespace Dune
{
namespace Geo
{
namespace Impl
{
// size
// ----
unsigned int size ( unsigned int topologyId, int dim, int codim )
{
assert( (dim >= 0) && (topologyId < numTopologies( dim )) );
assert( (0 <= codim) && (codim <= dim) );
if( codim > 0 )
{
const unsigned int baseId = baseTopologyId( topologyId, dim );
const unsigned int m = size( baseId, dim-1, codim-1 );
if( isPrism( topologyId, dim ) )
{
const unsigned int n = (codim < dim ? size( baseId, dim-1, codim ) : 0);
return n + 2*m;
}
else
{
assert( isPyramid( topologyId, dim ) );
const unsigned int n = (codim < dim ? size( baseId, dim-1, codim ) : 1);
return m+n;
}
}
else
return 1;
}
// subTopologyId
// -------------
unsigned int subTopologyId ( unsigned int topologyId, int dim, int codim, unsigned int i )
{
assert( i < size( topologyId, dim, codim ) );
const int mydim = dim - codim;
if( codim > 0 )
{
const unsigned int baseId = baseTopologyId( topologyId, dim );
const unsigned int m = size( baseId, dim-1, codim-1 );
if( isPrism( topologyId, dim ) )
{
const unsigned int n = (codim < dim ? size( baseId, dim-1, codim ) : 0);
if( i < n )
return subTopologyId( baseId, dim-1, codim, i ) | ((unsigned int)prismConstruction << (mydim - 1));
else
return subTopologyId( baseId, dim-1, codim-1, (i < n+m ? i-n : i-(n+m)) );
}
else
{
assert( isPyramid( topologyId, dim ) );
if( i < m )
return subTopologyId( baseId, dim-1, codim-1, i );
else if( codim < dim )
return subTopologyId( baseId, dim-1, codim, i-m ) | ((unsigned int)pyramidConstruction << (mydim - 1));
else
return 0u;
}
}
else
return topologyId;
}
// subTopologyNumbering
// --------------------
void subTopologyNumbering ( unsigned int topologyId, int dim, int codim, unsigned int i, int subcodim,
unsigned int *beginOut, unsigned int *endOut )
{
assert( (codim >= 0) && (subcodim >= 0) && (codim + subcodim <= dim) );
assert( i < size( topologyId, dim, codim ) );
assert( (endOut - beginOut) == size( subTopologyId( topologyId, dim, codim, i ), dim-codim, subcodim ) );
if( codim == 0 )
{
for( unsigned int j = 0; (beginOut + j) != endOut; ++j )
*(beginOut + j) = j;
}
else if( subcodim == 0 )
{
assert( endOut == beginOut + 1 );
*beginOut = i;
}
else
{
const unsigned int baseId = baseTopologyId( topologyId, dim );
const unsigned int m = size( baseId, dim-1, codim-1 );
const unsigned int mb = size( baseId, dim-1, codim+subcodim-1 );
const unsigned int nb = (codim + subcodim < dim ? size( baseId, dim-1, codim+subcodim ) : 0);
if( isPrism( topologyId, dim ) )
{
const unsigned int n = size( baseId, dim-1, codim );
if( i < n )
{
const unsigned int subId = subTopologyId( baseId, dim-1, codim, i );
unsigned int *beginBase = beginOut;
if( codim + subcodim < dim )
{
beginBase = beginOut + size( subId, dim-codim-1, subcodim );
subTopologyNumbering( baseId, dim-1, codim, i, subcodim, beginOut, beginBase );
}
const unsigned int ms = size( subId, dim-codim-1, subcodim-1 );
subTopologyNumbering( baseId, dim-1, codim, i, subcodim-1, beginBase, beginBase+ms );
for( unsigned int j = 0; j < ms; ++j )
{
*(beginBase+j) += nb;
*(beginBase+j+ms) = *(beginBase+j) + mb;
}
}
else
{
const unsigned int s = (i < n+m ? 0 : 1);
subTopologyNumbering( baseId, dim-1, codim-1, i-(n+s*m), subcodim, beginOut, endOut );
for( unsigned int *it = beginOut; it != endOut; ++it )
*it += nb + s*mb;
}
}
else
{
assert( isPyramid( topologyId, dim ) );
if( i < m )
subTopologyNumbering( baseId, dim-1, codim-1, i, subcodim, beginOut, endOut );
else
{
const unsigned int subId = subTopologyId( baseId, dim-1, codim, i-m );
const unsigned int ms = size( subId, dim-codim-1, subcodim-1 );
subTopologyNumbering( baseId, dim-1, codim, i-m, subcodim-1, beginOut, beginOut+ms );
if( codim+subcodim < dim )
{
subTopologyNumbering( baseId, dim-1, codim, i-m, subcodim, beginOut+ms, endOut );
for( unsigned int *it = beginOut + ms; it != endOut; ++it )
*it += mb;
}
else
*(beginOut + ms) = mb;
}
}
}
}
// ReferenceVolumeInverse
// ----------------------
unsigned long referenceVolumeInverse ( unsigned int topologyId, int dim )
{
assert( (dim >= 0) && (topologyId < numTopologies( dim )) );
if( dim > 0 )
{
unsigned int baseValue = referenceVolumeInverse( baseTopologyId( topologyId, dim ), dim-1 );
return (isPrism( topologyId, dim ) ? baseValue : baseValue * (unsigned long)dim);
}
else
return 1;
}
} // namespace Impl
} // namespace Geo
} // namespace Dune
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