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gram_schmidt.hpp throws an exception due to end iterator #95

@LegalizeAdulthood

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@LegalizeAdulthood

This code:

    beg1 += n;
    end1 += n;

    for( size_t j=1 ; j<num_of_lyap ; ++j , beg1+=n , end1+=n )
    {
        for( size_t k=0 ; k<j ; ++k )
        {
            tmp[k] = std::inner_product( beg1 , end1 , first + k*n , 0.0 );
            //  clog << j << " " << k << " " << tmp[k] << "\n";
        }



        for( size_t k=0 ; k<j ; ++k )
            substract_vector( beg1 , end1 , first + k*n , tmp[k] );

        // normalize j-th vector
        norm[j] = sqrt( std::inner_product( beg1 , end1 , beg1 , 0.0 ) );
        // clog << j << " " << norm[j] << "\n";
        normalize( beg1 , end1 , norm[j] );
    }

advances the end1 iterator past the end of the state vector x, which causes a debug exception (contract violation) on MSVC.

Since the iterators are advanced before the loop starts and then again at the end of the each loop iteration, I propose the fix:

    for( size_t j=1 ; j<num_of_lyap ; ++j )
    {
        beg1 += n;
        end1 += n;

        for( size_t k=0 ; k<j ; ++k )
        {
            tmp[k] = std::inner_product( beg1 , end1 , first + k*n , 0.0 );
            //  clog << j << " " << k << " " << tmp[k] << "\n";
        }



        for( size_t k=0 ; k<j ; ++k )
            substract_vector( beg1 , end1 , first + k*n , tmp[k] );

        // normalize j-th vector
        norm[j] = sqrt( std::inner_product( beg1 , end1 , beg1 , 0.0 ) );
        // clog << j << " " << norm[j] << "\n";
        normalize( beg1 , end1 , norm[j] );
    }

....which I will submit in a pull request shortly.

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