  We update the CP-violating asymmetries in K^+ -> 3 pi. In particular we study
Delta g_C and Delta g_N -the asymmetries in the slope g. We emphasize its
complementarity to the direct CP-violation parameter epsilon_K' and the large
sensitivity to the size of the imaginary part of the octet coupling Im G_8 at
lowest order in CHPT. We also give the prospects of a full calculation at
next-to-leading order of this and other CP-violating asymmetries which will be
presented elsewhere.
