arb/acb_poly/evaluate2_horner.c
2016-04-26 17:20:05 +02:00

73 lines
1.6 KiB
C

/*
Copyright (C) 2013 Fredrik Johansson
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "acb_poly.h"
void
_acb_poly_evaluate2_horner(acb_t y, acb_t z, acb_srcptr poly,
slong len, const acb_t x, slong prec)
{
if (len == 0)
{
acb_zero(y);
acb_zero(z);
}
else if (len == 1)
{
acb_set_round(y, poly + 0, prec);
acb_zero(z);
}
else if (acb_is_zero(x))
{
acb_set_round(y, poly + 0, prec);
acb_set_round(z, poly + 1, prec);
}
else if (len == 2)
{
acb_mul(y, x, poly + 1, prec);
acb_add(y, y, poly + 0, prec);
acb_set_round(z, poly + 1, prec);
}
else
{
acb_t t, u, v;
slong i;
acb_init(t);
acb_init(u);
acb_init(v);
acb_set_round(u, poly + len - 1, prec);
acb_zero(v);
for (i = len - 2; i >= 0; i--)
{
acb_mul(t, v, x, prec);
acb_add(v, u, t, prec);
acb_mul(t, u, x, prec);
acb_add(u, t, poly + i, prec);
}
acb_swap(y, u);
acb_swap(z, v);
acb_clear(t);
acb_clear(u);
acb_clear(v);
}
}
void
acb_poly_evaluate2_horner(acb_t r, acb_t s, const acb_poly_t f, const acb_t a, slong prec)
{
_acb_poly_evaluate2_horner(r, s, f->coeffs, f->length, a, prec);
}