FLINT3.7.0-dev

_fmpz_mod_poly_divides, fmpz_mod_poly_divides, _fmpz_mod_poly_divides_classical, fmpz_mod_poly_divides_classical

Synopsis#include <flint/fmpz_mod_poly.h>
int _fmpz_mod_poly_divides(fmpz * Q, const fmpz * A, slong lenA, const fmpz * B, slong lenB, const fmpz_mod_ctx_t ctx)source
int fmpz_mod_poly_divides(fmpz_mod_poly_t Q, const fmpz_mod_poly_t A, const fmpz_mod_poly_t B, const fmpz_mod_ctx_t ctx)source
int _fmpz_mod_poly_divides_classical(fmpz * Q, const fmpz * A, slong lenA, const fmpz * B, slong lenB, const fmpz_mod_ctx_t ctx)source
int fmpz_mod_poly_divides_classical(fmpz_mod_poly_t Q, const fmpz_mod_poly_t A, const fmpz_mod_poly_t B, const fmpz_mod_ctx_t ctx)source

Return 1 and set Q=A/BQ = A/B if BB divides AA, and otherwise return 0 and set QQ to zero. The leading coefficient of BB must be invertible. The underscore versions require lenA≥lenB>0\mathit{lenA} \ge \mathit{lenB} > 0 and write lenA−lenB+1\mathit{lenA} - \mathit{lenB} + 1 coefficients.

The quotient is computed first, and the product BQBQ is compared with AA coefficient by coefficient from the bottom, so that a non-divisor is usually detected early; the classical version does the comparison with dot products and is used by fmpz_mod_poly_divides for lenA<40\mathit{lenA} < 40 and lenB<20\mathit{lenB} < 20.

Cite this page

The FLINT team, “_fmpz_mod_poly_divides, fmpz_mod_poly_divides, _fmpz_mod_poly_divides_classical, fmpz_mod_poly_divides_classical (fmpz_mod_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpz_mod_poly/_fmpz_mod_poly_divides.html (generated 2026-11-02).