//Copyright (c) 2008-2016 Emil Dotchevski and Reverge Studios, Inc.

//Distributed under 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 UUID_20D98340A3EB11DEB2180CD156D89593
#define UUID_20D98340A3EB11DEB2180CD156D89593

#include <boost/qvm/inline.hpp>
#include <boost/qvm/deduce_mat.hpp>
#include <boost/qvm/assert.hpp>
#include <boost/qvm/enable_if.hpp>
#include <boost/qvm/detail/transp_impl.hpp>

namespace
boost
    {
    namespace
    qvm
        {
        ////////////////////////////////////////////////

        namespace
        qvm_detail
            {
            template <int Row,class OriginalMatrix>
            class
            del_row_
                {
                del_row_( del_row_ const & );
                del_row_ & operator=( del_row_ const & );
                ~del_row_();

                public:

                template <class T>
                BOOST_QVM_INLINE_TRIVIAL
                del_row_ &
                operator=( T const & x )
                    {
                    assign(*this,x);
                    return *this;
                    }

                template <class R>
                BOOST_QVM_INLINE_TRIVIAL
                operator R() const
                    {
                    R r;
                    assign(r,*this);
                    return r;
                    }
                };
            }

        template <int I,class OriginalMatrix>
        struct
        mat_traits< qvm_detail::del_row_<I,OriginalMatrix> >
            {
            typedef qvm_detail::del_row_<I,OriginalMatrix> this_matrix;
            typedef typename mat_traits<OriginalMatrix>::scalar_type scalar_type;
            static int const rows=mat_traits<OriginalMatrix>::rows-1;
            static int const cols=mat_traits<OriginalMatrix>::cols;

            template <int Row,int Col>
            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element( this_matrix const & x )
                {
                BOOST_QVM_STATIC_ASSERT(Row>=0);
                BOOST_QVM_STATIC_ASSERT(Row<rows);
                BOOST_QVM_STATIC_ASSERT(Col>=0);
                BOOST_QVM_STATIC_ASSERT(Col<cols);
                return mat_traits<OriginalMatrix>::template read_element<Row+(Row>=I),Col>(reinterpret_cast<OriginalMatrix const &>(x));
                }

            template <int Row,int Col>
            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type &
            write_element( this_matrix & x )
                {
                BOOST_QVM_STATIC_ASSERT(Row>=0);
                BOOST_QVM_STATIC_ASSERT(Row<rows);
                BOOST_QVM_STATIC_ASSERT(Col>=0);
                BOOST_QVM_STATIC_ASSERT(Col<cols);
                return mat_traits<OriginalMatrix>::template write_element<Row+(Row>=I),Col>(reinterpret_cast<OriginalMatrix &>(x));
                }

            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element_idx( int row, int col, this_matrix const & x )
                {
                BOOST_QVM_ASSERT(row>=0);
                BOOST_QVM_ASSERT(row<rows);
                BOOST_QVM_ASSERT(col>=0);
                BOOST_QVM_ASSERT(col<cols);
                return mat_traits<OriginalMatrix>::read_element_idx(row+(row>=I),col,reinterpret_cast<OriginalMatrix const &>(x));
                }

            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type &
            write_element_idx( int row, int col, this_matrix & x )
                {
                BOOST_QVM_ASSERT(row>=0);
                BOOST_QVM_ASSERT(row<rows);
                BOOST_QVM_ASSERT(col>=0);
                BOOST_QVM_ASSERT(col<cols);
                return mat_traits<OriginalMatrix>::write_element_idx(row+(row>=I),col,reinterpret_cast<OriginalMatrix &>(x));
                }
            };

        template <int J,class OriginalMatrix,int R,int C>
        struct
        deduce_mat<qvm_detail::del_row_<J,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int J,class OriginalMatrix,int R,int C>
        struct
        deduce_mat2<qvm_detail::del_row_<J,OriginalMatrix>,qvm_detail::del_row_<J,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int Row,class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::del_row_<Row,A> const &>::type
        BOOST_QVM_INLINE_TRIVIAL
        del_row( A const & a )
            {
            return reinterpret_cast<typename qvm_detail::del_row_<Row,A> const &>(a);
            }

        template <int Row,class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::del_row_<Row,A> &>::type
        BOOST_QVM_INLINE_TRIVIAL
        del_row( A & a )
            {
            return reinterpret_cast<typename qvm_detail::del_row_<Row,A> &>(a);
            }

        ////////////////////////////////////////////////

        namespace
        qvm_detail
            {
            template <int Col,class OriginalMatrix>
            class
            del_col_
                {
                del_col_( del_col_ const & );
                del_col_ & operator=( del_col_ const & );
                ~del_col_();

                public:

                template <class T>
                BOOST_QVM_INLINE_TRIVIAL
                del_col_ &
                operator=( T const & x )
                    {
                    assign(*this,x);
                    return *this;
                    }

                template <class R>
                BOOST_QVM_INLINE_TRIVIAL
                operator R() const
                    {
                    R r;
                    assign(r,*this);
                    return r;
                    }
                };
            }

        template <int J,class OriginalMatrix>
        struct
        mat_traits< qvm_detail::del_col_<J,OriginalMatrix> >
            {
            typedef qvm_detail::del_col_<J,OriginalMatrix> this_matrix;
            typedef typename mat_traits<OriginalMatrix>::scalar_type scalar_type;
            static int const rows=mat_traits<OriginalMatrix>::rows;
            static int const cols=mat_traits<OriginalMatrix>::cols-1;

            template <int Row,int Col>
            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element( this_matrix const & x )
                {
                BOOST_QVM_STATIC_ASSERT(Row>=0);
                BOOST_QVM_STATIC_ASSERT(Row<rows);
                BOOST_QVM_STATIC_ASSERT(Col>=0);
                BOOST_QVM_STATIC_ASSERT(Col<cols);
                return mat_traits<OriginalMatrix>::template read_element<Row,Col+(Col>=J)>(reinterpret_cast<OriginalMatrix const &>(x));
                }

            template <int Row,int Col>
            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type &
            write_element( this_matrix & x )
                {
                BOOST_QVM_STATIC_ASSERT(Row>=0);
                BOOST_QVM_STATIC_ASSERT(Row<rows);
                BOOST_QVM_STATIC_ASSERT(Col>=0);
                BOOST_QVM_STATIC_ASSERT(Col<cols);
                return mat_traits<OriginalMatrix>::template write_element<Row,Col+(Col>=J)>(reinterpret_cast<OriginalMatrix &>(x));
                }

            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element_idx( int row, int col, this_matrix const & x )
                {
                BOOST_QVM_ASSERT(row>=0);
                BOOST_QVM_ASSERT(row<rows);
                BOOST_QVM_ASSERT(col>=0);
                BOOST_QVM_ASSERT(col<cols);
                return mat_traits<OriginalMatrix>::read_element_idx(row,col+(col>=J),reinterpret_cast<OriginalMatrix const &>(x));
                }

            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type &
            write_element_idx( int row, int col, this_matrix & x )
                {
                BOOST_QVM_ASSERT(row>=0);
                BOOST_QVM_ASSERT(row<rows);
                BOOST_QVM_ASSERT(col>=0);
                BOOST_QVM_ASSERT(col<cols);
                return mat_traits<OriginalMatrix>::write_element_idx(row,col+(col>=J),reinterpret_cast<OriginalMatrix &>(x));
                }
            };

        template <int J,class OriginalMatrix,int R,int C>
        struct
        deduce_mat<qvm_detail::del_col_<J,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int J,class OriginalMatrix,int R,int C>
        struct
        deduce_mat2<qvm_detail::del_col_<J,OriginalMatrix>,qvm_detail::del_col_<J,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int Col,class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::del_col_<Col,A> const &>::type
        BOOST_QVM_INLINE_TRIVIAL
        del_col( A const & a )
            {
            return reinterpret_cast<typename qvm_detail::del_col_<Col,A> const &>(a);
            }

        template <int Col,class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::del_col_<Col,A> &>::type
        BOOST_QVM_INLINE_TRIVIAL
        del_col( A & a )
            {
            return reinterpret_cast<typename qvm_detail::del_col_<Col,A> &>(a);
            }

        ////////////////////////////////////////////////

        namespace
        qvm_detail
            {
            template <int Row,int Col,class OriginalMatrix>
            class
            del_row_col_
                {
                del_row_col_( del_row_col_ const & );
                ~del_row_col_();

                public:

                BOOST_QVM_INLINE_TRIVIAL
                del_row_col_ &
                operator=( del_row_col_ const & x )
                    {
                    assign(*this,x);
                    return *this;
                    }

                template <class T>
                BOOST_QVM_INLINE_TRIVIAL
                del_row_col_ &
                operator=( T const & x )
                    {
                    assign(*this,x);
                    return *this;
                    }

                template <class R>
                BOOST_QVM_INLINE_TRIVIAL
                operator R() const
                    {
                    R r;
                    assign(r,*this);
                    return r;
                    }
                };
            }

        template <int I,int J,class OriginalMatrix>
        struct
        mat_traits< qvm_detail::del_row_col_<I,J,OriginalMatrix> >
            {
            typedef qvm_detail::del_row_col_<I,J,OriginalMatrix> this_matrix;
            typedef typename mat_traits<OriginalMatrix>::scalar_type scalar_type;
            static int const rows=mat_traits<OriginalMatrix>::rows-1;
            static int const cols=mat_traits<OriginalMatrix>::cols-1;

            template <int Row,int Col>
            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element( this_matrix const & x )
                {
                BOOST_QVM_STATIC_ASSERT(Row>=0);
                BOOST_QVM_STATIC_ASSERT(Row<rows);
                BOOST_QVM_STATIC_ASSERT(Col>=0);
                BOOST_QVM_STATIC_ASSERT(Col<cols);
                return mat_traits<OriginalMatrix>::template read_element<Row+(Row>=I),Col+(Col>=J)>(reinterpret_cast<OriginalMatrix const &>(x));
                }

            template <int Row,int Col>
            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type &
            write_element( this_matrix & x )
                {
                BOOST_QVM_STATIC_ASSERT(Row>=0);
                BOOST_QVM_STATIC_ASSERT(Row<rows);
                BOOST_QVM_STATIC_ASSERT(Col>=0);
                BOOST_QVM_STATIC_ASSERT(Col<cols);
                return mat_traits<OriginalMatrix>::template write_element<Row+(Row>=I),Col+(Col>=J)>(reinterpret_cast<OriginalMatrix &>(x));
                }

            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element_idx( int row, int col, this_matrix const & x )
                {
                BOOST_QVM_ASSERT(row>=0);
                BOOST_QVM_ASSERT(row<rows);
                BOOST_QVM_ASSERT(col>=0);
                BOOST_QVM_ASSERT(col<cols);
                return mat_traits<OriginalMatrix>::read_element_idx(row+(row>=I),col+(col>=J),reinterpret_cast<OriginalMatrix const &>(x));
                }

            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type &
            write_element_idx( int row, int col, this_matrix & x )
                {
                BOOST_QVM_ASSERT(row>=0);
                BOOST_QVM_ASSERT(row<rows);
                BOOST_QVM_ASSERT(col>=0);
                BOOST_QVM_ASSERT(col<cols);
                return mat_traits<OriginalMatrix>::write_element_idx(row+(row>=I),col+(col>=J),reinterpret_cast<OriginalMatrix &>(x));
                }
            };

        template <int I,int J,class OriginalMatrix,int R,int C>
        struct
        deduce_mat<qvm_detail::del_row_col_<I,J,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int I,int J,class OriginalMatrix,int R,int C>
        struct
        deduce_mat2<qvm_detail::del_row_col_<I,J,OriginalMatrix>,qvm_detail::del_row_col_<I,J,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int Row,int Col,class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::del_row_col_<Row,Col,A> const &>::type
        BOOST_QVM_INLINE_TRIVIAL
        del_row_col( A const & a )
            {
            return reinterpret_cast<typename qvm_detail::del_row_col_<Row,Col,A> const &>(a);
            }

        template <int Row,int Col,class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::del_row_col_<Row,Col,A> &>::type
        BOOST_QVM_INLINE_TRIVIAL
        del_row_col( A & a )
            {
            return reinterpret_cast<typename qvm_detail::del_row_col_<Row,Col,A> &>(a);
            }

        ////////////////////////////////////////////////

        namespace
        qvm_detail
            {
            template <int Row,class OriginalMatrix>
            class
            neg_row_
                {
                neg_row_( neg_row_ const & );
                neg_row_ & operator=( neg_row_ const & );
                ~neg_row_();

                public:

                template <class T>
                BOOST_QVM_INLINE_TRIVIAL
                neg_row_ &
                operator=( T const & x )
                    {
                    assign(*this,x);
                    return *this;
                    }

                template <class R>
                BOOST_QVM_INLINE_TRIVIAL
                operator R() const
                    {
                    R r;
                    assign(r,*this);
                    return r;
                    }
                };
            }

        template <int I,class OriginalMatrix>
        struct
        mat_traits< qvm_detail::neg_row_<I,OriginalMatrix> >
            {
            typedef qvm_detail::neg_row_<I,OriginalMatrix> this_matrix;
            typedef typename mat_traits<OriginalMatrix>::scalar_type scalar_type;
            static int const rows=mat_traits<OriginalMatrix>::rows;
            static int const cols=mat_traits<OriginalMatrix>::cols;

            template <int Row,int Col>
            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element( this_matrix const & x )
                {
                BOOST_QVM_STATIC_ASSERT(Row>=0);
                BOOST_QVM_STATIC_ASSERT(Row<rows);
                BOOST_QVM_STATIC_ASSERT(Col>=0);
                BOOST_QVM_STATIC_ASSERT(Col<cols);
                return Row==I ?
                    -mat_traits<OriginalMatrix>::template read_element<Row,Col>(reinterpret_cast<OriginalMatrix const &>(x)) :
                    mat_traits<OriginalMatrix>::template read_element<Row,Col>(reinterpret_cast<OriginalMatrix const &>(x));
                }

            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element_idx( int row, int col, this_matrix const & x )
                {
                BOOST_QVM_ASSERT(row>=0);
                BOOST_QVM_ASSERT(row<rows);
                BOOST_QVM_ASSERT(col>=0);
                BOOST_QVM_ASSERT(col<cols);
                return row==I?
                    -mat_traits<OriginalMatrix>::read_element_idx(row,col,reinterpret_cast<OriginalMatrix const &>(x)) :
                    mat_traits<OriginalMatrix>::read_element_idx(row,col,reinterpret_cast<OriginalMatrix const &>(x));
                }
            };

        template <int J,class OriginalMatrix,int R,int C>
        struct
        deduce_mat<qvm_detail::neg_row_<J,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int J,class OriginalMatrix,int R,int C>
        struct
        deduce_mat2<qvm_detail::neg_row_<J,OriginalMatrix>,qvm_detail::neg_row_<J,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int Row,class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::neg_row_<Row,A> const &>::type
        BOOST_QVM_INLINE_TRIVIAL
        neg_row( A const & a )
            {
            return reinterpret_cast<typename qvm_detail::neg_row_<Row,A> const &>(a);
            }

        ////////////////////////////////////////////////

        namespace
        qvm_detail
            {
            template <int Col,class OriginalMatrix>
            class
            neg_col_
                {
                neg_col_( neg_col_ const & );
                neg_col_ & operator=( neg_col_ const & );
                ~neg_col_();

                public:

                template <class T>
                BOOST_QVM_INLINE_TRIVIAL
                neg_col_ &
                operator=( T const & x )
                    {
                    assign(*this,x);
                    return *this;
                    }

                template <class R>
                BOOST_QVM_INLINE_TRIVIAL
                operator R() const
                    {
                    R r;
                    assign(r,*this);
                    return r;
                    }
                };
            }

        template <int J,class OriginalMatrix>
        struct
        mat_traits< qvm_detail::neg_col_<J,OriginalMatrix> >
            {
            typedef qvm_detail::neg_col_<J,OriginalMatrix> this_matrix;
            typedef typename mat_traits<OriginalMatrix>::scalar_type scalar_type;
            static int const rows=mat_traits<OriginalMatrix>::rows;
            static int const cols=mat_traits<OriginalMatrix>::cols;

            template <int Row,int Col>
            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element( this_matrix const & x )
                {
                BOOST_QVM_STATIC_ASSERT(Row>=0);
                BOOST_QVM_STATIC_ASSERT(Row<rows);
                BOOST_QVM_STATIC_ASSERT(Col>=0);
                BOOST_QVM_STATIC_ASSERT(Col<cols);
                return Col==J?
                    -mat_traits<OriginalMatrix>::template read_element<Row,Col>(reinterpret_cast<OriginalMatrix const &>(x)) :
                    mat_traits<OriginalMatrix>::template read_element<Row,Col>(reinterpret_cast<OriginalMatrix const &>(x));
                }

            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element_idx( int row, int col, this_matrix const & x )
                {
                BOOST_QVM_ASSERT(row>=0);
                BOOST_QVM_ASSERT(row<rows);
                BOOST_QVM_ASSERT(col>=0);
                BOOST_QVM_ASSERT(col<cols);
                return col==J?
                    -mat_traits<OriginalMatrix>::read_element_idx(row,col,reinterpret_cast<OriginalMatrix const &>(x)) :
                    mat_traits<OriginalMatrix>::read_element_idx(row,col,reinterpret_cast<OriginalMatrix const &>(x));
                }
            };

        template <int J,class OriginalMatrix,int R,int C>
        struct
        deduce_mat<qvm_detail::neg_col_<J,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int J,class OriginalMatrix,int R,int C>
        struct
        deduce_mat2<qvm_detail::neg_col_<J,OriginalMatrix>,qvm_detail::neg_col_<J,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int Col,class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::neg_col_<Col,A> const &>::type
        BOOST_QVM_INLINE_TRIVIAL
        neg_col( A const & a )
            {
            return reinterpret_cast<typename qvm_detail::neg_col_<Col,A> const &>(a);
            }

        ////////////////////////////////////////////////

        template <class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::transposed_<A> const &>::type
        BOOST_QVM_INLINE_TRIVIAL
        transposed( A const & a )
            {
            return reinterpret_cast<typename qvm_detail::transposed_<A> const &>(a);
            }

        template <class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::transposed_<A> &>::type
        BOOST_QVM_INLINE_TRIVIAL
        transposed( A & a )
            {
            return reinterpret_cast<typename qvm_detail::transposed_<A> &>(a);
            }

        ////////////////////////////////////////////////

        namespace
        qvm_detail
            {
            template <int Row1,int Row2,class OriginalMatrix>
            class
            swap_rows_
                {
                swap_rows_( swap_rows_ const & );
                swap_rows_ & operator=( swap_rows_ const & );
                ~swap_rows_();

                public:

                template <class T>
                BOOST_QVM_INLINE_TRIVIAL
                swap_rows_ &
                operator=( T const & x )
                    {
                    assign(*this,x);
                    return *this;
                    }

                template <class R>
                BOOST_QVM_INLINE_TRIVIAL
                operator R() const
                    {
                    R r;
                    assign(r,*this);
                    return r;
                    }
                };
            }

        template <int R1,int R2,class OriginalMatrix>
        struct
        mat_traits< qvm_detail::swap_rows_<R1,R2,OriginalMatrix> >
            {
            typedef qvm_detail::swap_rows_<R1,R2,OriginalMatrix> this_matrix;
            typedef typename mat_traits<OriginalMatrix>::scalar_type scalar_type;
            static int const rows=mat_traits<OriginalMatrix>::rows;
            static int const cols=mat_traits<OriginalMatrix>::cols;

            template <int Row,int Col>
            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element( this_matrix const & x )
                {
                BOOST_QVM_STATIC_ASSERT(Row>=0);
                BOOST_QVM_STATIC_ASSERT(Row<rows);
                BOOST_QVM_STATIC_ASSERT(Col>=0);
                BOOST_QVM_STATIC_ASSERT(Col<cols);
                return mat_traits<OriginalMatrix>::template read_element<(Row==R1 && R1!=R2)*R2+(Row==R2 && R1!=R2)*R1+((Row!=R1 && Row!=R2) || R1==R2)*Row,Col>(reinterpret_cast<OriginalMatrix const &>(x));
                }

            template <int Row,int Col>
            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type &
            write_element( this_matrix & x )
                {
                BOOST_QVM_STATIC_ASSERT(Row>=0);
                BOOST_QVM_STATIC_ASSERT(Row<rows);
                BOOST_QVM_STATIC_ASSERT(Col>=0);
                BOOST_QVM_STATIC_ASSERT(Col<cols);
                return mat_traits<OriginalMatrix>::template write_element<(Row==R1 && R1!=R2)*R2+(Row==R2 && R1!=R2)*R1+((Row!=R1 && Row!=R2) || R1==R2)*Row,Col>(reinterpret_cast<OriginalMatrix &>(x));
                }

            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element_idx( int row, int col, this_matrix const & x )
                {
                BOOST_QVM_ASSERT(row>=0);
                BOOST_QVM_ASSERT(row<rows);
                BOOST_QVM_ASSERT(col>=0);
                BOOST_QVM_ASSERT(col<cols);
                return mat_traits<OriginalMatrix>::read_element_idx(row==R1?R2:row==R2?R1:row,col,reinterpret_cast<OriginalMatrix const &>(x));
                }

            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type &
            write_element_idx( int row, int col, this_matrix & x )
                {
                BOOST_QVM_ASSERT(row>=0);
                BOOST_QVM_ASSERT(row<rows);
                BOOST_QVM_ASSERT(col>=0);
                BOOST_QVM_ASSERT(col<cols);
                return mat_traits<OriginalMatrix>::write_element_idx(row==R1?R2:row==R2?R1:row,col,reinterpret_cast<OriginalMatrix &>(x));
                }
            };

        template <int R1,int R2,class OriginalMatrix,int R,int C>
        struct
        deduce_mat<qvm_detail::swap_rows_<R1,R2,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int R1,int R2,class OriginalMatrix,int R,int C>
        struct
        deduce_mat2<qvm_detail::swap_rows_<R1,R2,OriginalMatrix>,qvm_detail::swap_rows_<R1,R2,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int R1,int R2,class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::swap_rows_<R1,R2,A> const &>::type
        BOOST_QVM_INLINE_TRIVIAL
        swap_rows( A const & a )
            {
            return reinterpret_cast<typename qvm_detail::swap_rows_<R1,R2,A> const &>(a);
            }

        template <int R1,int R2,class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::swap_rows_<R1,R2,A> &>::type
        BOOST_QVM_INLINE_TRIVIAL
        swap_rows( A & a )
            {
            return reinterpret_cast<typename qvm_detail::swap_rows_<R1,R2,A> &>(a);
            }

        ////////////////////////////////////////////////

        namespace
        qvm_detail
            {
            template <int Row1,int Row2,class OriginalMatrix>
            class
            swap_cols_
                {
                swap_cols_( swap_cols_ const & );
                swap_cols_ & operator=( swap_cols_ const & );
                ~swap_cols_();

                public:

                template <class T>
                BOOST_QVM_INLINE_TRIVIAL
                swap_cols_ &
                operator=( T const & x )
                    {
                    assign(*this,x);
                    return *this;
                    }

                template <class R>
                BOOST_QVM_INLINE_TRIVIAL
                operator R() const
                    {
                    R r;
                    assign(r,*this);
                    return r;
                    }
                };
            }

        template <int C1,int C2,class OriginalMatrix>
        struct
        mat_traits< qvm_detail::swap_cols_<C1,C2,OriginalMatrix> >
            {
            typedef qvm_detail::swap_cols_<C1,C2,OriginalMatrix> this_matrix;
            typedef typename mat_traits<OriginalMatrix>::scalar_type scalar_type;
            static int const rows=mat_traits<OriginalMatrix>::rows;
            static int const cols=mat_traits<OriginalMatrix>::cols;

            template <int Row,int Col>
            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element( this_matrix const & x )
                {
                BOOST_QVM_STATIC_ASSERT(Row>=0);
                BOOST_QVM_STATIC_ASSERT(Row<rows);
                BOOST_QVM_STATIC_ASSERT(Col>=0);
                BOOST_QVM_STATIC_ASSERT(Col<cols);
                return mat_traits<OriginalMatrix>::template read_element<Row,(Col==C1 && C1!=C2)*C2+(Col==C2 && C1!=C2)*C1+((Col!=C1 && Col!=C2) || C1==C2)*Col>(reinterpret_cast<OriginalMatrix const &>(x));
                }

            template <int Row,int Col>
            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type &
            write_element( this_matrix & x )
                {
                BOOST_QVM_STATIC_ASSERT(Row>=0);
                BOOST_QVM_STATIC_ASSERT(Row<rows);
                BOOST_QVM_STATIC_ASSERT(Col>=0);
                BOOST_QVM_STATIC_ASSERT(Col<cols);
                return mat_traits<OriginalMatrix>::template write_element<Row,(Col==C1 && C1!=C2)*C2+(Col==C2 && C1!=C2)*C1+((Col!=C1 && Col!=C2) || C1==C2)*Col>(reinterpret_cast<OriginalMatrix &>(x));
                }

            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type
            read_element_idx( int row, int col, this_matrix const & x )
                {
                BOOST_QVM_ASSERT(row>=0);
                BOOST_QVM_ASSERT(row<rows);
                BOOST_QVM_ASSERT(col>=0);
                BOOST_QVM_ASSERT(col<cols);
                return mat_traits<OriginalMatrix>::read_element_idx(row,col==C1?C2:col==C2?C1:col,reinterpret_cast<OriginalMatrix const &>(x));
                }

            static
            BOOST_QVM_INLINE_CRITICAL
            scalar_type &
            write_element_idx( int row, int col, this_matrix & x )
                {
                BOOST_QVM_ASSERT(row>=0);
                BOOST_QVM_ASSERT(row<rows);
                BOOST_QVM_ASSERT(col>=0);
                BOOST_QVM_ASSERT(col<cols);
                return mat_traits<OriginalMatrix>::write_element_idx(row,col==C1?C2:col==C2?C1:col,reinterpret_cast<OriginalMatrix &>(x));
                }
            };

        template <int C1,int C2,class OriginalMatrix,int R,int C>
        struct
        deduce_mat<qvm_detail::swap_cols_<C1,C2,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int C1,int C2,class OriginalMatrix,int R,int C>
        struct
        deduce_mat2<qvm_detail::swap_cols_<C1,C2,OriginalMatrix>,qvm_detail::swap_cols_<C1,C2,OriginalMatrix>,R,C>
            {
            typedef mat<typename mat_traits<OriginalMatrix>::scalar_type,R,C> type;
            };

        template <int C1,int C2,class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::swap_cols_<C1,C2,A> const &>::type
        BOOST_QVM_INLINE_TRIVIAL
        swap_cols( A const & a )
            {
            return reinterpret_cast<typename qvm_detail::swap_cols_<C1,C2,A> const &>(a);
            }

        template <int C1,int C2,class A>
        typename boost::enable_if_c<
            is_mat<A>::value,
            qvm_detail::swap_cols_<C1,C2,A> &>::type
        BOOST_QVM_INLINE_TRIVIAL
        swap_cols( A & a )
            {
            return reinterpret_cast<typename qvm_detail::swap_cols_<C1,C2,A> &>(a);
            }

        ////////////////////////////////////////////////
        }
    }

#endif