_fmpz_poly_evaluate_horner_d_2exp, fmpz_poly_evaluate_horner_d_2exp, _fmpz_poly_evaluate_horner_d_2exp2, fmpz_poly_evaluate_horner_d_2exp2
Synopsis
#include <flint/fmpz_poly.h>double fmpz_poly_evaluate_horner_d_2exp(slong * exp, const fmpz_poly_t poly, double d)sourcedouble _fmpz_poly_evaluate_horner_d_2exp2(slong * exp, const fmpz * poly, slong n, double d, slong dexp)sourcedouble fmpz_poly_evaluate_horner_d_2exp2(slong * exp, const fmpz_poly_t poly, double d, slong dexp)sourceReturn m and set *exp to e such that m 2^e approximates f(d), respectively f(d \cdot 2^{\mathit{dexp}}), by Horner's rule in a floating-point format with a double mantissa and a separate exponent, which cannot overflow. As for fmpz_poly_evaluate_horner_d, the error is not controlled; cancellation can make the result meaningless for polynomials with coefficients of both signs.
Cite this page
The FLINT team, “_fmpz_poly_evaluate_horner_d_2exp, fmpz_poly_evaluate_horner_d_2exp, _fmpz_poly_evaluate_horner_d_2exp2, fmpz_poly_evaluate_horner_d_2exp2 (fmpz_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpz_poly/_fmpz_poly_evaluate_horner_d_2exp.html (generated 2026-10-20).
@misc{flint-doc-fmpz-poly-fmpz-poly-evaluate-horner-d-2exp,
author = {{The FLINT team}},
title = {{\_fmpz\_poly\_evaluate\_horner\_d\_2exp, fmpz\_poly\_evaluate\_horner\_d\_2exp, \_fmpz\_poly\_evaluate\_horner\_d\_2exp2, fmpz\_poly\_evaluate\_horner\_d\_2exp2 (fmpz\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fmpz_poly/_fmpz_poly_evaluate_horner_d_2exp.html},
note = {Generated 2026-10-20}
}