  Kamiya, Takemura, and Terao introduced a characteristic quasi-polynomial
which enumerates the numbers of elements in the complement of hyperplane
arrangements modulo positive integers. In this paper, we compute the
characteristic quasi-polynomials for arrangements which contain the Coxeter
arrangements of types A, B, C, and D described by the orthonormal basis. We
also compute the characteristic quasi-polynomials for their deletion
arrangements and we can show that they are factorized. From this result, the
poset generated by hypertori of the corresponding torus arrangement is an
inductive poset.
