arb_exp
Synopsis
#include <flint/arb.h>For x = [m \pm r], the midpoint is e^m computed with arb_exp_arf and the propagated error is bounded by e^m (e^r - 1), evaluated with mag_expm1; wide balls are evaluated at the endpoints. If the input is inexact, e^m is computed only to about the accuracy of the input plus 30 bits. If |m| > 2^{\max(128, 2\,\mathit{prec})}, the result is [0 \pm \infty] for positive m and a tiny ball near 0 for negative m, so that the cost stays polynomial in prec.
Guides#
Cite this page
The FLINT team, “arb_exp (arb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb/arb_exp.html (generated 2026-10-20).
@misc{flint-doc-arb-arb-exp,
author = {{The FLINT team}},
title = {{arb\_exp (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.html},
note = {Generated 2026-10-20}
}