  We present a novel way to apply the singularity confinement property as a
discrete integrability criterion. We shall use what we call a full
deautonomisation approach, which consists in treating the free parameters in
the mapping as functions of the independent variable, applied to a mapping
complemented with terms that are absent in the original mapping but which do
not change the singularity structure. We shall show, on a host of examples
including the well-known mapping of Hietarinta-Viallet, that our approach
offers a way to compute the algebraic entropy for these mappings exactly,
thereby allowing one to distinguish between the integrable and non-integrable
cases even when both have confined singularities.
