`acb_theta_eld_distances`

Synopsis#include <flint/acb_theta.h>

void acb_theta_eld_distances(arb_ptr ds, acb_srcptr zs, slong nb, const acb_mat_t tau, slong prec)source

Sets ds to the concatenation of nb vectors of length $2^g$ : for each $z$ , the squared distances $\mathrm{Dist}_\tau(-Y^{-1}y, \mathbb{Z}^g + \tfrac a2)^2$ for all $a \in \{0,1\}^g$ , for the norm $\lVert x \rVert_\tau^2 = \pi x^T Y x$ .

The coordinates of $-Y^{-1}y$ are rounded to a point of $\mathbb{Z}^g + \tfrac a2$ , which gives an upper bound for the distance, and the points of the ellipsoid of that radius are enumerated to find any closer point.

Guides#

Characteristics, derivatives and precision

Cite this page

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

@misc{flint-doc-acb-theta-acb-theta-eld-distances,
  author       = {{The FLINT team}},
  title        = {{acb\_theta\_eld\_distances (acb\_theta.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/acb_theta/acb_theta_eld_distances.html},
  note         = {Generated 2026-11-02}
}

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