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// Boost.Geometry (aka GGL, Generic Geometry Library)
// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
// Parts of Boost.Geometry are redesigned from Geodan's Geographic Library
// (geolib/GGL), copyright (c) 1995-2010 Geodan, Amsterdam, the Netherlands.
// Use, modification and distribution is subject to the Boost Software License,
// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
#ifndef BOOST_GEOMETRY_STRATEGIES_TRANSFORM_INVERSE_TRANSFORMER_HPP
#define BOOST_GEOMETRY_STRATEGIES_TRANSFORM_INVERSE_TRANSFORMER_HPP
// Remove the ublas checking, otherwise the inverse might fail
// (while nothing seems to be wrong)
#ifdef BOOST_UBLAS_TYPE_CHECK
#undef BOOST_UBLAS_TYPE_CHECK
#endif
#define BOOST_UBLAS_TYPE_CHECK 0
#include <boost/numeric/ublas/lu.hpp>
#include <boost/numeric/ublas/io.hpp>
#include <boost/geometry/strategies/transform/matrix_transformers.hpp>
namespace boost { namespace geometry
{
namespace strategy { namespace transform
{
/*!
\brief Transformation strategy to do an inverse transformation in a Cartesian coordinate system
\ingroup strategies
*/
template
<
typename CalculationType,
std::size_t Dimension1,
std::size_t Dimension2
>
class inverse_transformer
: public ublas_transformer<CalculationType, Dimension1, Dimension2>
{
public :
template <typename Transformer>
inline inverse_transformer(Transformer const& input)
{
typedef boost::numeric::ublas::matrix<CalculationType> matrix_type;
// create a working copy of the input
matrix_type copy(input.matrix());
// create a permutation matrix for the LU-factorization
typedef boost::numeric::ublas::permutation_matrix<> permutation_matrix;
permutation_matrix pm(copy.size1());
// perform LU-factorization
int res = boost::numeric::ublas::lu_factorize<matrix_type>(copy, pm);
if( res == 0 )
{
// create identity matrix
this->m_matrix.assign(boost::numeric::ublas::identity_matrix<CalculationType>(copy.size1()));
// backsubstitute to get the inverse
boost::numeric::ublas::lu_substitute(copy, pm, this->m_matrix);
}
}
};
}} // namespace strategy::transform
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_STRATEGIES_TRANSFORM_INVERSE_TRANSFORMER_HPP
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