is_homogeneous()

bool Matrix::is_homogeneous

(

)

const

Definition at line 332 of file matrix.cpp.

{
  auto R = get_ring();
  auto D = R->degree_monoid();
  if (!R->is_graded()) return 0;
  monomial d = D->make_one();
  for (int i = 0; i < n_cols(); i++)
    {
      if (elem(i) == nullptr) continue;
      if (!R->vec_is_homogeneous(rows(), elem(i)))
        {
          D->remove(d);
          return 0;
        }
 
      R->vec_multi_degree(rows(), elem(i), d);
      D->divide(d, degree_shift(), d);
      if (0 != D->compare(d, cols()->degree(i)))
        {
          D->remove(d);
          return 0;
        }
    }
  D->remove(d);
  return 1;
}

References cols(), degree_shift(), elem(), get_ring(), is_homogeneous(), monomial, n_cols(), and rows().

Referenced by createF4GB(), IM2_Matrix_is_graded(), and is_homogeneous().