  Germs of plane curve singularities can be classified accordingly to their
equisingularity type. For singularities over C, this important data coincides
with the topological class. In this paper, we characterise a family of
singularities, containing irreducible ones, whose equisingularity type can be
computed in quasi-linear time with respect to the discriminant valuation of a
Weierstrass equation.
