/usr/include/dune/grid/albertagrid/algebra.hh is in libdune-grid-dev 2.5.1-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_ALBERTA_ALGEBRA_HH
#define DUNE_ALBERTA_ALGEBRA_HH
#include <dune/common/fvector.hh>
#include <dune/common/fmatrix.hh>
namespace Dune
{
namespace Alberta
{
template< class K >
inline static FieldVector< K, 3 >
vectorProduct ( const FieldVector< K, 3 > &u, const FieldVector< K, 3 > &v )
{
FieldVector< K, 3 > w;
w[ 0 ] = u[ 1 ] * v[ 2 ] - u[ 2 ] * v[ 1 ];
w[ 1 ] = u[ 2 ] * v[ 0 ] - u[ 0 ] * v[ 2 ];
w[ 2 ] = u[ 0 ] * v[ 1 ] - u[ 1 ] * v[ 0 ];
return w;
}
template< class K, int m >
inline static K determinant ( const FieldMatrix< K, 0, m > &matrix )
{
return K( 1 );
}
template< class K >
inline static K determinant ( const FieldMatrix< K, 1, 1 > &matrix )
{
return matrix[ 0 ][ 0 ];
}
template< class K, int m >
inline static K determinant ( const FieldMatrix< K, 1, m > &matrix )
{
K sum = matrix[ 0 ][ 0 ] * matrix[ 0 ][ 0 ];
for( int i = 1; i < m; ++i )
sum += matrix[ 0 ][ i ] * matrix[ 0 ][ i ];
return sqrt( sum );
}
template< class K >
inline static K determinant ( const FieldMatrix< K, 2, 2 > &matrix )
{
return matrix[ 0 ][ 0 ] * matrix[ 1 ][ 1 ] - matrix[ 0 ][ 1 ] * matrix[ 1 ][ 0 ];
}
template< class K >
inline static K determinant ( const FieldMatrix< K, 2, 3 > &matrix )
{
return vectorProduct( matrix[ 0 ], matrix[ 1 ] ).two_norm();
}
template< class K, int m >
inline static K determinant ( const FieldMatrix< K, 2, m > &matrix )
{
const K tmpA = matrix[ 0 ].two_norm2();
const K tmpB = matrix[ 1 ].two_norm2();
const K tmpC = matrix[ 0 ] * matrix[ 1 ];
return sqrt( tmpA * tmpB - tmpC * tmpC );
}
template< class K >
inline static K determinant ( const FieldMatrix< K, 3, 3 > &matrix )
{
return matrix[ 0 ] * vectorProduct( matrix[ 1 ], matrix[ 2 ] );
}
template< class K, int m >
inline static K invert ( const FieldMatrix< K, 0, m > &matrix,
FieldMatrix< K, m, 0 > &inverse )
{
return K( 1 );
}
template< class K >
inline static K invert ( const FieldMatrix< K, 1, 1 > &matrix,
FieldMatrix< K, 1, 1 > &inverse )
{
inverse[ 0 ][ 0 ] = K( 1 ) / matrix[ 0 ][ 0 ];
return matrix[ 0 ][ 0 ];
}
template< class K, int m >
inline static K invert ( const FieldMatrix< K, 1, m > &matrix,
FieldMatrix< K, m, 1 > &inverse )
{
K detSqr = matrix[ 0 ].two_norm2();
K invDetSqr = K( 1 ) / detSqr;
for( int i = 0; i < m; ++i )
inverse[ i ][ 0 ] = invDetSqr * matrix[ 0 ][ i ];
return sqrt( detSqr );
}
template< class K >
inline static K invert ( const FieldMatrix< K, 2, 2 > &matrix,
FieldMatrix< K, 2, 2 > &inverse )
{
K det = determinant( matrix );
K invDet = K( 1 ) / det;
inverse[ 0 ][ 0 ] = invDet * matrix[ 1 ][ 1 ];
inverse[ 0 ][ 1 ] = - invDet * matrix[ 0 ][ 1 ];
inverse[ 1 ][ 0 ] = - invDet * matrix[ 1 ][ 0 ];
inverse[ 1 ][ 1 ] = invDet * matrix[ 0 ][ 0 ];
return det;
}
template< class K, int m >
inline static K invert ( const FieldMatrix< K, 2, m > &matrix,
FieldMatrix< K, m, 2 > &inverse )
{
const K tmpA = matrix[ 0 ].two_norm2();
const K tmpB = matrix[ 1 ].two_norm2();
const K tmpC = matrix[ 0 ] * matrix[ 1 ];
const K detSqr = tmpA * tmpB - tmpC * tmpC;
const K invDetSqr = K( 1 ) / detSqr;
for( int i = 0; i < m; ++i )
{
inverse[ i ][ 0 ] = invDetSqr * (tmpB * matrix[ 0 ][ i ] - tmpC * matrix[ 1 ][ i ]);
inverse[ i ][ 1 ] = invDetSqr * (tmpA * matrix[ 1 ][ i ] - tmpC * matrix[ 0 ][ i ]);
}
return sqrt( detSqr );
}
template< class K >
inline static K invert ( const FieldMatrix< K, 3, 3 > &matrix,
FieldMatrix< K, 3, 3 > &inverse )
{
return FMatrixHelp::invertMatrix( matrix, inverse );
}
}
}
#endif // #ifndef DUNE_ALBERTA_ALGEBRA_HH
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