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1 | // Boost.Geometry (aka GGL, Generic Geometry Library) |
2 | ||
3 | // Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands. | |
4 | // Copyright (c) 2008-2012 Bruno Lalande, Paris, France. | |
5 | // Copyright (c) 2009-2012 Mateusz Loskot, London, UK. | |
6 | ||
7 | // Parts of Boost.Geometry are redesigned from Geodan's Geographic Library | |
8 | // (geolib/GGL), copyright (c) 1995-2010 Geodan, Amsterdam, the Netherlands. | |
9 | ||
10 | // Use, modification and distribution is subject to the Boost Software License, | |
11 | // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at | |
12 | // http://www.boost.org/LICENSE_1_0.txt) | |
13 | ||
14 | #ifndef BOOST_GEOMETRY_STRATEGIES_TRANSFORM_INVERSE_TRANSFORMER_HPP | |
15 | #define BOOST_GEOMETRY_STRATEGIES_TRANSFORM_INVERSE_TRANSFORMER_HPP | |
16 | ||
17 | // Remove the ublas checking, otherwise the inverse might fail | |
18 | // (while nothing seems to be wrong) | |
19 | #ifdef BOOST_UBLAS_TYPE_CHECK | |
20 | #undef BOOST_UBLAS_TYPE_CHECK | |
21 | #endif | |
22 | #define BOOST_UBLAS_TYPE_CHECK 0 | |
23 | ||
24 | #include <boost/numeric/ublas/lu.hpp> | |
25 | #include <boost/numeric/ublas/io.hpp> | |
26 | ||
27 | #include <boost/geometry/strategies/transform/matrix_transformers.hpp> | |
28 | ||
29 | ||
30 | namespace boost { namespace geometry | |
31 | { | |
32 | ||
33 | namespace strategy { namespace transform | |
34 | { | |
35 | ||
36 | /*! | |
37 | \brief Transformation strategy to do an inverse transformation in a Cartesian coordinate system | |
38 | \ingroup strategies | |
39 | */ | |
40 | template | |
41 | < | |
42 | typename CalculationType, | |
43 | std::size_t Dimension1, | |
44 | std::size_t Dimension2 | |
45 | > | |
46 | class inverse_transformer | |
47 | : public ublas_transformer<CalculationType, Dimension1, Dimension2> | |
48 | { | |
49 | public : | |
50 | template <typename Transformer> | |
51 | inline inverse_transformer(Transformer const& input) | |
52 | { | |
53 | typedef boost::numeric::ublas::matrix<CalculationType> matrix_type; | |
54 | ||
55 | // create a working copy of the input | |
56 | matrix_type copy(input.matrix()); | |
57 | ||
58 | // create a permutation matrix for the LU-factorization | |
59 | typedef boost::numeric::ublas::permutation_matrix<> permutation_matrix; | |
60 | permutation_matrix pm(copy.size1()); | |
61 | ||
62 | // perform LU-factorization | |
63 | int res = boost::numeric::ublas::lu_factorize<matrix_type>(copy, pm); | |
64 | if( res == 0 ) | |
65 | { | |
66 | // create identity matrix | |
67 | this->m_matrix.assign(boost::numeric::ublas::identity_matrix<CalculationType>(copy.size1())); | |
68 | ||
69 | // backsubstitute to get the inverse | |
70 | boost::numeric::ublas::lu_substitute(copy, pm, this->m_matrix); | |
71 | } | |
72 | } | |
73 | ||
74 | }; | |
75 | ||
76 | ||
77 | }} // namespace strategy::transform | |
78 | ||
79 | ||
80 | }} // namespace boost::geometry | |
81 | ||
82 | #endif // BOOST_GEOMETRY_STRATEGIES_TRANSFORM_INVERSE_TRANSFORMER_HPP |