Given is a tensor-vector generalization for anisotropic crystal of nonlinear optic interaction in arbitrary incidence of two plane waves transmitting regular nonhomogeneous nonlinear gyroanisotropic media. The solution is represented for arbitrary polarization of interacting waves, taking into account the real parameter of media: bipolar conductivity, natural and induced anisotropy by electric, optics, etc. external fields. A compact matrix-vector algorithm is demonstrated for a fast estimation 3D space evolution of the optic fields in arbitrary crystal symmetries and is usable to optimization the experimental condition and crystal parameters measurement.