`_nmod_poly_interpolate_nmod_vec_barycentric, nmod_poly_interpolate_nmod_vec_barycentric`

Synopsis#include <flint/nmod_poly.h>

void _nmod_poly_interpolate_nmod_vec_barycentric(nn_ptr poly, nn_srcptr xs, nn_srcptr ys, slong len, nmod_t mod)source

void nmod_poly_interpolate_nmod_vec_barycentric(nmod_poly_t poly, nn_srcptr xs, nn_srcptr ys, slong len)source

The same by the Lagrange formula $\sum_i y_i w_i P(x)/(x - x_i)$ , with $P = \prod (x - x_i)$ and $w_i$ as above, in $O(\mathit{len}^2)$ multiplications and len inversions.

Cite this page

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

@misc{flint-doc-nmod-poly-nmod-poly-interpolate-nmod-vec-barycentric,
  author       = {{The FLINT team}},
  title        = {{\_nmod\_poly\_interpolate\_nmod\_vec\_barycentric, nmod\_poly\_interpolate\_nmod\_vec\_barycentric (nmod\_poly.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/nmod_poly/_nmod_poly_interpolate_nmod_vec_barycentric.html},
  note         = {Generated 2026-11-02}
}

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