arb/acb_poly/mullow_classical.c
Fredrik Johansson c939538a0a complex polys
2014-05-16 14:04:28 +02:00

111 lines
3.5 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) 2008, 2009 William Hart
Copyright (C) 2012 Fredrik Johansson
******************************************************************************/
#include "acb_poly.h"
void
_acb_poly_mullow_classical(acb_ptr res,
acb_srcptr poly1, long len1,
acb_srcptr poly2, long len2, long n, long prec)
{
len1 = FLINT_MIN(len1, n);
len2 = FLINT_MIN(len2, n);
if (n == 1)
{
acb_mul(res, poly1, poly2, prec);
}
else if (poly1 == poly2 && len1 == len2)
{
long i;
_acb_vec_scalar_mul(res, poly1, FLINT_MIN(len1, n), poly1, prec);
_acb_vec_scalar_mul(res + len1, poly1 + 1, n - len1, poly1 + len1 - 1, prec);
for (i = 1; i < len1 - 1; i++)
_acb_vec_scalar_addmul(res + i + 1, poly1 + 1,
FLINT_MIN(i - 1, n - (i + 1)), poly1 + i, prec);
for (i = 1; i < FLINT_MIN(2 * len1 - 2, n); i++)
acb_mul_2exp_si(res + i, res + i, 1);
for (i = 1; i < FLINT_MIN(len1 - 1, (n + 1) / 2); i++)
acb_addmul(res + 2 * i, poly1 + i, poly1 + i, prec);
}
else
{
long i;
_acb_vec_scalar_mul(res, poly1, FLINT_MIN(len1, n), poly2, prec);
if (n > len1)
_acb_vec_scalar_mul(res + len1, poly2 + 1, n - len1,
poly1 + len1 - 1, prec);
for (i = 0; i < FLINT_MIN(len1, n) - 1; i++)
_acb_vec_scalar_addmul(res + i + 1, poly2 + 1,
FLINT_MIN(len2, n - i) - 1,
poly1 + i, prec);
}
}
void
acb_poly_mullow_classical(acb_poly_t res, const acb_poly_t poly1,
const acb_poly_t poly2,
long n, long prec)
{
long len_out;
if (poly1->length == 0 || poly2->length == 0 || n == 0)
{
acb_poly_zero(res);
return;
}
len_out = poly1->length + poly2->length - 1;
if (n > len_out)
n = len_out;
if (res == poly1 || res == poly2)
{
acb_poly_t t;
acb_poly_init2(t, n);
_acb_poly_mullow_classical(t->coeffs, poly1->coeffs, poly1->length,
poly2->coeffs, poly2->length, n, prec);
acb_poly_swap(res, t);
acb_poly_clear(t);
}
else
{
acb_poly_fit_length(res, n);
_acb_poly_mullow_classical(res->coeffs, poly1->coeffs, poly1->length,
poly2->coeffs, poly2->length, n, prec);
}
_acb_poly_set_length(res, n);
_acb_poly_normalise(res);
}