_fq_nmod_poly_sqrt_series, fq_nmod_poly_sqrt_series, _fq_nmod_poly_invsqrt_series, fq_nmod_poly_invsqrt_series
#include <flint/fq_nmod_poly.h>void _fq_nmod_poly_sqrt_series(fq_nmod_struct * g, const fq_nmod_struct * h, slong n, fq_nmod_ctx_t ctx)void fq_nmod_poly_sqrt_series(fq_nmod_poly_t g, const fq_nmod_poly_t h, slong n, fq_nmod_ctx_t ctx)void _fq_nmod_poly_invsqrt_series(fq_nmod_struct * g, const fq_nmod_struct * h, slong n, fq_nmod_ctx_t ctx)void fq_nmod_poly_invsqrt_series(fq_nmod_poly_t g, const fq_nmod_poly_t h, slong n, fq_nmod_ctx_t ctx)Set g to \sqrt{h}, respectively 1/\sqrt{h}, modulo x^n, for a power series h with constant term 1 (the square root with constant term 1), by Newton iteration. The underscore versions require n > 0 and h zero-padded to length n, and do not allow aliasing. All four throw FLINT_ERROR in characteristic 2 for n > 1; the others throw if the constant term of h is not 1.
Generated from the same template as _fq_poly_sqrt_series, whose documentation has the details.
The FLINT team, “_fq_nmod_poly_sqrt_series, fq_nmod_poly_sqrt_series, _fq_nmod_poly_invsqrt_series, fq_nmod_poly_invsqrt_series (fq_nmod_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fq_nmod_poly/_fq_nmod_poly_sqrt_series.html (generated 2026-10-20).
@misc{flint-doc-fq-nmod-poly-fq-nmod-poly-sqrt-series,
author = {{The FLINT team}},
title = {{\_fq\_nmod\_poly\_sqrt\_series, fq\_nmod\_poly\_sqrt\_series, \_fq\_nmod\_poly\_invsqrt\_series, fq\_nmod\_poly\_invsqrt\_series (fq\_nmod\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fq_nmod_poly/_fq_nmod_poly_sqrt_series.html},
note = {Generated 2026-10-20}
}