`_padic_exp, _padic_exp_rectangular, _padic_exp_balanced`

Synopsis#include <flint/padic.h>

void _padic_exp(fmpz_t rop, const fmpz_t u, slong v, const fmpz_t p, slong N)source

void _padic_exp_rectangular(fmpz_t rop, const fmpz_t u, slong v, const fmpz_t p, slong N)source

void _padic_exp_balanced(fmpz_t rop, const fmpz_t u, slong v, const fmpz_t p, slong N)source

Set rop to $\exp(p^v u)$ reduced modulo $p^N$ . Require $p^v u \ne 0$ , $v < N$ , and $v \ge 1$ for odd $p$ , $v \ge 2$ for $p = 2$ . Allow aliasing between rop and $u$ . _padic_exp uses the rectangular algorithm for $N < 1024$ and the balanced one otherwise.

Cite this page

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

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

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