_mp_real_div_newton_invmul, _mp_real_div_newton
Synopsis
#include <flint/mp_real.h>void _mp_real_div_newton_invmul(nn_ptr q, nn_srcptr b, slong bn, nn_srcptr a, slong an, slong n)sourceFor b \in [0, 1) with b_n \ge 1 fraction limbs and a as for _mp_real_inv_newton, set (q, n + 2) to an approximation of b/a with absolute error at most 4 B^{-n}/a. The first function multiplies b by _mp_real_inv_newton; the second performs a Karp–Markstein iteration [KM1997].
References#
- [KM1997] A. H. Karp and P. Markstein, "High-precision division and square root", ACM Transactions on Mathematical Software 23:4 (1997), 561–589
Cite this page
The FLINT team, “_mp_real_div_newton_invmul, _mp_real_div_newton (mp_real.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/mp_real/_mp_real_div_newton_invmul.html (generated 2026-10-20).
@misc{flint-doc-mp-real-mp-real-div-newton-invmul,
author = {{The FLINT team}},
title = {{\_mp\_real\_div\_newton\_invmul, \_mp\_real\_div\_newton (mp\_real.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/mp_real/_mp_real_div_newton_invmul.html},
note = {Generated 2026-10-20}
}