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Filename : cofactor_impl.hpp
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//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 BOOST_QVM_995547FAAE0E11DE8CF511E755D89593
#define BOOST_QVM_995547FAAE0E11DE8CF511E755D89593

#include <boost/qvm/detail/determinant_impl.hpp>
#include <boost/qvm/mat_traits.hpp>
#include <boost/qvm/static_assert.hpp>

namespace
boost
    {
    namespace
    qvm
        {
        namespace
        qvm_detail
            {
            template <class A>
            BOOST_QVM_INLINE_OPERATIONS
            typename deduce_mat<A>::type
            cofactor_impl( A const & a )
                {
                BOOST_QVM_STATIC_ASSERT(mat_traits<A>::rows==mat_traits<A>::cols);
                int const N=mat_traits<A>::rows;
                typedef typename mat_traits<A>::scalar_type T;
                T c[N-1][N-1];
                typedef typename deduce_mat<A>::type R;
                R b;
                for( int j=0; j!=N; ++j )
                    {
                    for( int i=0; i!=N; ++i )
                        {
                        int i1=0;
                        for( int ii=0; ii!=N; ++ii )
                            {
                            if( ii==i )
                                continue;
                            int j1=0;
                            for( int jj=0; jj!=N; ++jj )
                                {
                                if( jj==j )
                                    continue;
                                c[i1][j1] = mat_traits<A>::read_element_idx(ii,jj,a);
                                ++j1;
                                }
                            ++i1;
                            }
                        T det = determinant_impl(c);
                        if( (i+j)&1 )
                            det=-det;
                        mat_traits<R>::write_element_idx(i,j,b) = det;
                        }
                    }
                return b;
                }
            }
        }
    }

#endif