  We present the first-order coherent exclusive exponentiation (CEEX) scheme,
with the full control over spin polarization for all fermions. In particular it
is applicable to difficult case of narrow resonances. The resulting spin
amplitudes and the differential distributions are given in a form ready for
their implementation in the Monte Carlo event generator. The initial-final
state interferences are under control. The way is open to the use of the exact
amplitudes for two and more hard photons, using Weyl-spinor techniques, without
giving up the advantages of the exclusive exponentiation, of the
Yennie-Frautschi-Suura type.
