FLINT3.7.0-dev

_gr_dft_nfixed_roots, _gr_dft_nfixed_root_err_bound, _gr_dft_nfixed_cmul_err_ulps

Synopsis#include <flint/gr_dft.h>
int _gr_dft_nfixed_roots(gr_ptr roots, ulong n, double * err_ulps, gr_ctx_t ctx)source
double _gr_dft_nfixed_root_err_bound(ulong n, double kmul)source
double _gr_dft_nfixed_cmul_err_ulps(gr_ctx_t ctx)source

The root table of a fixed-point plan and its error bounds. The first function sets roots to approximations of e^{-2\pi i j/n}, 0 \le j < n, over the complex fixed-point context ctx and writes a bound for their errors, in ulp, to err_ulps. The second bounds the error of the entries of a table of length n built with products whose rounding error is at most kmul ulp in modulus. The third returns the error bound per part of one complex multiplication in ctx: 2, 4 or 6 ulp.

Cite this page

The FLINT team, “_gr_dft_nfixed_roots, _gr_dft_nfixed_root_err_bound, _gr_dft_nfixed_cmul_err_ulps (gr_dft.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_dft/_gr_dft_nfixed_roots.html (generated 2026-10-20).