`_padic_radix_exp_rectangular, _padic_radix_exp_balanced, _padic_radix_exp`

Synopsis#include <flint/padic_radix.h>

void _padic_radix_exp_rectangular(radix_integer_t rop, const radix_integer_t u, slong v, slong N, const radix_t radix)source

void _padic_radix_exp_balanced(radix_integer_t rop, const radix_integer_t u, slong v, slong N, const radix_t radix)source

void _padic_radix_exp(radix_integer_t rop, const radix_integer_t u, slong v, slong N, const radix_t radix)source

Set rop to the nonnegative residue of $\exp(u p^v)$ modulo $p^N$ , for $v \ge 1$ ( $v \ge 2$ if $p = 2$ ), not checked. The rectangular version uses rectangular splitting, the balanced version the $p$ -adic bit-burst method with binary splitting. _padic_radix_exp uses the rectangular version for $N$ below a cutoff between 80 and 200 that decreases with the size of $p$ .

Cite this page

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

@misc{flint-doc-padic-radix-padic-radix-exp-rectangular,
  author       = {{The FLINT team}},
  title        = {{\_padic\_radix\_exp\_rectangular, \_padic\_radix\_exp\_balanced, \_padic\_radix\_exp (padic\_radix.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/padic_radix/_padic_radix_exp_rectangular.html},
  note         = {Generated 2026-11-02}
}

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