  This paper proposes a new way to quantize classical mechanical systems. Here
we use ALAG - programme to construct moduli space of half weighted Bohr -
Sommerfeld lagrangian cycles of fixed volume which is our quantum phase space.
"Dynamical correspondence" principle makes possible to prove that this ALAG -
quantization satisfies the Dirac correspondence principle. This construction
relates two known quantizations using complex and real polarizations
respectively.
