FLINT3.7.0-dev
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gr_bin, gr_bin_ui, gr_bin_uiui, gr_bin_vec, gr_bin_ui_vec

Synopsis#include <flint/gr_special.h>
int gr_bin(gr_ptr res, gr_srcptr x, gr_srcptr y, gr_ctx_t ctx)source
int gr_bin_ui(gr_ptr res, gr_srcptr x, ulong y, gr_ctx_t ctx)source
int gr_bin_uiui(gr_ptr res, ulong x, ulong y, gr_ctx_t ctx)source
int gr_bin_vec(gr_ptr res, gr_srcptr x, slong len, gr_ctx_t ctx)source
int gr_bin_ui_vec(gr_ptr res, ulong x, slong len, gr_ctx_t ctx)source

Set res to the binomial coefficient (xy)\binom{x}{y}. The vec versions write (x0),(x1),…,(xlen−1)\binom{x}{0}, \binom{x}{1}, \ldots, \binom{x}{\mathit{len}-1} to res. For a two-dimensional table (Pascal's triangle), gr_mat_pascal is faster than repeated calls.

Cite this page

The FLINT team, “gr_bin, gr_bin_ui, gr_bin_uiui, gr_bin_vec, gr_bin_ui_vec (gr_special.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_special/gr_bin.html (generated 2026-11-02).