  In the CHY-frame for the amplitudes, there are two kinds of singularities we
need to deal with. The first one is the pole singularities when the kinematics
is not general, such that some of $S_A\to 0$. The second one is the collapse of
locations of points after solving scattering equations (i.e., the singular
solutions). These two types of singularities are tightly related to each other,
but the exact mapping is not well understood. In this paper, we have initiated
the systematic study of the mapping. We have demonstrated the different mapping
patterns using three typical situations, i.e., the factorization limit, the
soft limit and the forward limit.
