`arb_tanh, arb_coth`

Synopsis#include <flint/arb.h>

void arb_tanh(arb_t y, const arb_t x, slong prec)source

void arb_coth(arb_t y, const arb_t x, slong prec)source

Set y to $\tanh x$ , respectively $\coth x$ , computed as $(e^{2x} - 1)/(e^{2x} + 1)$ via arb_expm1 for small $|x|$ and as $\pm(1 - 2e^{\mp 2x}/(1 + e^{\mp 2x}))$ for large $|x|$ (and the reciprocals).

Cite this page

The FLINT team, “arb_tanh, arb_coth (arb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb/arb_tanh.html (generated 2026-11-02).

@misc{flint-doc-arb-arb-tanh,
  author       = {{The FLINT team}},
  title        = {{arb\_tanh, arb\_coth (arb.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/arb/arb_tanh.html},
  note         = {Generated 2026-11-02}
}

Edit this page · PDF version · Built with fdoc from 0a4634bf95