_arb_exp_taylor_naive, _arb_exp_taylor_rs
Synopsis
#include <flint/arb.h>Set y \approx \sum_{k=0}^{N-1} x^k/k! and write an error bound in ulps to error; y has xn fractional limbs and one integer limb. The naive version uses the forward recurrence, the rs version rectangular splitting with a table of reciprocal factorials, avoiding divisions. Require N \le 287, 0 \le x \le 1/16 and \mathit{xn} > 0.
Cite this page
The FLINT team, “_arb_exp_taylor_naive, _arb_exp_taylor_rs (arb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb/_arb_exp_taylor_naive.html (generated 2026-10-20).
@misc{flint-doc-arb-arb-exp-taylor-naive,
author = {{The FLINT team}},
title = {{\_arb\_exp\_taylor\_naive, \_arb\_exp\_taylor\_rs (arb.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb/_arb_exp_taylor_naive.html},
note = {Generated 2026-10-20}
}