FLINT3.7.0-dev

_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 2026-10-20).