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// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set et ts=4 sw=2 sts=2:
int applyTwist ( const int twist, const int i, const int numCorners )
{
return (twist < 0 ? (2*numCorners + 1 - i + twist) : i + twist) % numCorners;
}
int inverseTwist ( const int twist, const int numCorners )
{
return (twist <= 0 ? twist : numCorners - twist);
}
struct NoMapTwist
{
int operator() ( const int twist ) const
{
return twist;
}
};
template< class Intersection, class MapTwist >
int checkTwistOnIntersection ( const Intersection &intersection, const MapTwist &mapTwist )
{
typedef typename Intersection::ctype ctype;
const int dimension = Intersection::dimension;
typedef typename Intersection::EntityPointer EntityPointer;
typedef typename Intersection::Entity Entity;
typedef typename Entity::Geometry Geometry;
typedef typename Intersection::LocalGeometry LocalGeometry;
typedef Dune::ReferenceElement< ctype, dimension > ReferenceElement;
typedef Dune::ReferenceElements< ctype, dimension > ReferenceElements;
typedef Dune::FieldVector< typename Geometry::ctype, Geometry::coorddimension >
WorldVector;
typedef Dune::FieldVector< typename LocalGeometry::ctype, LocalGeometry::coorddimension >
LocalVector;
if( !intersection.neighbor() || intersection.boundary() || !intersection.conforming() )
return 0;
int errors = 0;
const int tIn = mapTwist( intersection.twistInInside() );
const int tOut = mapTwist( intersection.twistInOutside() );
const EntityPointer ptrIn = intersection.inside();
const EntityPointer ptrOut = intersection.outside();
const Entity &entityIn = *ptrIn;
const Entity &entityOut = *ptrOut;
const Geometry &geoIn = entityIn.geometry();
const Geometry &geoOut = entityOut.geometry();
const int nIn = intersection.indexInInside();
const int nOut = intersection.indexInOutside();
const ReferenceElement &refIn = ReferenceElements::general( geoIn.type() );
const ReferenceElement &refOut = ReferenceElements::general( geoOut.type() );
const int numCorners = refIn.size( nIn, 1, dimension );
assert( refOut.size( nOut, 1, dimension ) == numCorners );
for( int i = 0; i < numCorners; ++i )
{
const int iIn = applyTwist( inverseTwist( tIn, numCorners ), i, numCorners );
const int iOut = applyTwist( inverseTwist( tOut, numCorners ), i, numCorners );
WorldVector xIn = geoIn.corner( refIn.subEntity( nIn, 1, iIn, dimension ) );
WorldVector xOut = geoOut.corner( refOut.subEntity( nOut, 1, iOut, dimension ) );
if( (xIn - xOut).two_norm() < 1e-12 )
continue;
std::cout << "Error: corner( " << iIn << " ) = " << xIn
<< " != " << xOut << " = corner( " << iOut << " )."
<< std::endl;
++errors;
}
const LocalGeometry &lGeoIn = intersection.geometryInInside();
const LocalGeometry &lGeoOut = intersection.geometryInOutside();
bool twistInside = true ;
bool twistOutside = true;
for( int i = 0; i < numCorners; ++i )
{
const int gi = i;
const int iIn = applyTwist( inverseTwist( tIn, numCorners ), i, numCorners );
LocalVector xIn = refIn.position( refIn.subEntity( nIn, 1, iIn, dimension ), dimension );
if( (xIn - lGeoIn.corner( gi )).two_norm() >= 1e-12 )
{
std::cout << "Error: twisted inside reference corner( " << iIn << " ) = " << xIn
<< " != " << lGeoIn.corner( gi ) << " = local corner( " << i << " )."
<< std::endl;
twistInside = false ;
++errors;
}
const int iOut = applyTwist( inverseTwist( tOut, numCorners ), i, numCorners );
LocalVector xOut = refOut.position( refOut.subEntity( nOut, 1, iOut, dimension ), dimension );
if( (xOut - lGeoOut.corner( gi )).two_norm() >= 1e-12 )
{
std::cout << "Error: twisted outside reference corner( " << iOut << " ) = " << xOut
<< " != " << lGeoOut.corner( gi ) << " = local corner( " << i << " )."
<< std::endl;
twistOutside = false;
++errors;
}
}
// calculate inside twist
if( ! twistInside )
{
for( int nTwist = numCorners-1; nTwist>= -numCorners; --nTwist )
{
twistInside = true ;
for( int i = 0; i < numCorners; ++i )
{
const int gi = i;
const int iIn = applyTwist( inverseTwist( nTwist, numCorners ), i, numCorners );
LocalVector xIn = refIn.position( refIn.subEntity( nIn, 1, iIn, dimension ), dimension );
if( (xIn - lGeoIn.corner( gi )).two_norm() >= 1e-12 )
{
twistInside = false ;
}
}
if( twistInside )
{
std::cout << "\ninside " << nIn << "\n";
std::cout << "twist " << tIn << " should be replaced by " << nTwist << "\n";
break ;
}
}
}
// calculate outside twist
if( ! twistOutside )
{
for( int nTwist = numCorners-1; nTwist>=-numCorners; --nTwist )
{
twistOutside = true ;
for( int i = 0; i < numCorners; ++i )
{
const int gi = i;
const int iOut = applyTwist( inverseTwist( nTwist, numCorners ), i, numCorners );
LocalVector xOut = refOut.position( refOut.subEntity( nOut, 1, iOut, dimension ), dimension );
if( (xOut - lGeoOut.corner( gi )).two_norm() >= 1e-12 )
{
twistOutside = false;
}
}
if( twistOutside )
{
std::cout << "\noutside " << nOut << " (inside = " << nIn << ")\n";
std::cout << "twist " << tOut << " should be replaced by " << nTwist << "\n";
break ;
}
}
}
return errors;
}
template< class GridView, class MapTwist >
void checkTwists ( const GridView &gridView, const MapTwist &mapTwist )
{
typedef typename GridView::template Codim< 0 >::Iterator Iterator;
typedef typename GridView::IntersectionIterator IntersectionIterator;
int errors = 0;
const Iterator end = gridView.template end< 0 >();
for( Iterator it = gridView.template begin< 0 >(); it != end; ++it )
{
const IntersectionIterator iend = gridView.iend( *it );
for( IntersectionIterator iit = gridView.ibegin( *it ); iit != iend; ++iit )
errors += checkTwistOnIntersection( gridView.grid().getRealIntersection( *iit ), mapTwist );
}
if( errors > 0 )
std::cerr << "Error: Intersection twists contain errors." << std::endl;
}
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