arb/fmpcb_poly/evaluate2_horner.c
2013-07-27 11:12:37 +02:00

87 lines
2.4 KiB
C

/*=============================================================================
This file is part of ARB.
ARB is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
ARB is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2013 Fredrik Johansson
******************************************************************************/
#include "fmpcb_poly.h"
void
_fmpcb_poly_evaluate2_horner(fmpcb_t y, fmpcb_t z, fmpcb_srcptr poly,
long len, const fmpcb_t x, long prec)
{
if (len == 0)
{
fmpcb_zero(y);
fmpcb_zero(z);
}
else if (len == 1)
{
fmpcb_set_round(y, poly + 0, prec);
fmpcb_zero(z);
}
else if (fmpcb_is_zero(x))
{
fmpcb_set_round(y, poly + 0, prec);
fmpcb_set_round(z, poly + 1, prec);
}
else if (len == 2)
{
fmpcb_mul(y, x, poly + 1, prec);
fmpcb_add(y, y, poly + 0, prec);
fmpcb_set_round(z, poly + 1, prec);
}
else
{
fmpcb_t t, u, v;
long i;
fmpcb_init(t);
fmpcb_init(u);
fmpcb_init(v);
fmpcb_set_round(u, poly + len - 1, prec);
fmpcb_zero(v);
for (i = len - 2; i >= 0; i--)
{
fmpcb_mul(t, v, x, prec);
fmpcb_add(v, u, t, prec);
fmpcb_mul(t, u, x, prec);
fmpcb_add(u, t, poly + i, prec);
}
fmpcb_swap(y, u);
fmpcb_swap(z, v);
fmpcb_clear(t);
fmpcb_clear(u);
fmpcb_clear(v);
}
}
void
fmpcb_poly_evaluate2_horner(fmpcb_t r, fmpcb_t s, const fmpcb_poly_t f, const fmpcb_t a, long prec)
{
_fmpcb_poly_evaluate2_horner(r, s, f->coeffs, f->length, a, prec);
}