`gr_ctx_init_fmpz_mod`

Synopsis#include <flint/gr.h>

void gr_ctx_init_fmpz_mod(gr_ctx_t ctx, const fmpz_t n)source

Initialises ctx to $\mathbb{Z}/n\mathbb{Z}$ for any modulus $n \ge 1$ , with elements of type fmpz reduced to $[0, n)$ . The context allocates an fmpz_mod_ctx_t. Primality of $n$ is not tested: gr_ctx_is_field returns T_UNKNOWN until it is declared with gr_ctx_set_is_field. For moduli between $2^{64}$ and $2^{1024}$ , gr_ctx_init_mpn_mod is faster.

Guides#

Using fmpz_mod (fmpz_mod)
Getting started with generic rings (gr)
Getting started (gr_dft)

Cite this page

The FLINT team, “gr_ctx_init_fmpz_mod (gr.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_domains/gr_ctx_init_fmpz_mod.html (generated 2026-11-02).

@misc{flint-doc-gr-domains-gr-ctx-init-fmpz-mod,
  author       = {{The FLINT team}},
  title        = {{gr\_ctx\_init\_fmpz\_mod (gr.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/gr_domains/gr_ctx_init_fmpz_mod.html},
  note         = {Generated 2026-11-02}
}

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