arb_log_ui_from_prev
Synopsis
#include <flint/arb.h>Sets s to \log k, given log_prev = \log(\mathit{prev}) with \mathit{prev} < k. At high precision it uses \log k = \log \mathit{prev} + 2 \operatorname{atanh}((k - \mathit{prev}) / (k + \mathit{prev})) with the atanh series evaluated by binary splitting, which is fast when \mathit{prev} is large and k - \mathit{prev} small; otherwise it ignores log_prev.
Cite this page
The FLINT team, “arb_log_ui_from_prev (arb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb/arb_log_ui_from_prev.html (generated 2026-10-20).
@misc{flint-doc-arb-arb-log-ui-from-prev,
author = {{The FLINT team}},
title = {{arb\_log\_ui\_from\_prev (arb.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb/arb_log_ui_from_prev.html},
note = {Generated 2026-10-20}
}