cd_poly_weierstrass, cd_poly_weierstrass_distinct_orders
Synopsis
#include <flint/acb_poly.h>void cd_poly_weierstrass(double * results_r, double * results_i, double lc_r, double lc_i, const double * values_r, const double * values_i, slong n_start, slong n_end, slong d)sourcevoid cd_poly_weierstrass_distinct_orders(double * results_r, double * results_i, double lc_r, double lc_i, const double * col_values_r, const double * col_values_i, slong d, const double * row_values_r, const double * row_values_i, slong n_start, slong n_end)sourceCompute the Weierstrass denominators w_k = c \prod_{j \ne k} (z_k - z_j), with c = lc_r + i lc_i, for n_{\mathrm{start}} \le k < n_{\mathrm{end}}. cd_poly_weierstrass uses the d points values for both factors and exploits the symmetry of the differences; cd_poly_weierstrass_distinct_orders takes the factors z_j from col_values (in an order chosen to avoid overflow) and the points z_k from row_values, skipping a factor that is exactly zero.
Cite this page
The FLINT team, “cd_poly_weierstrass, cd_poly_weierstrass_distinct_orders (acb_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_poly/cd_poly_weierstrass.html (generated 2026-10-20).
@misc{flint-doc-acb-poly-cd-poly-weierstrass,
author = {{The FLINT team}},
title = {{cd\_poly\_weierstrass, cd\_poly\_weierstrass\_distinct\_orders (acb\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_poly/cd_poly_weierstrass.html},
note = {Generated 2026-10-20}
}