99 lines
2.6 KiB
C
99 lines
2.6 KiB
C
|
/*=============================================================================
|
||
|
|
|
||
|
|
This file is part of FLINT.
|
||
|
|
|
||
|
|
FLINT 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.
|
||
|
|
|
||
|
|
FLINT 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 FLINT; if not, write to the Free Software
|
||
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
||
|
|
|
||
|
|
=============================================================================*/
|
||
|
|
/******************************************************************************
|
||
|
|
|
||
|
|
Copyright (C) 2013 William Hart
|
||
|
|
|
||
|
|
******************************************************************************/
|
||
|
|
|
||
|
|
#include <gmp.h>
|
||
|
|
#include "flint.h"
|
||
|
|
#include "fmpz.h"
|
||
|
|
#include "fmpz_poly.h"
|
||
|
|
|
||
|
|
void _fmpz_poly_rem_powers_precomp(fmpz * A, slong m,
|
||
|
|
const fmpz * B, slong n, fmpz ** const powers)
|
||
|
|
{
|
||
|
|
slong i;
|
||
|
|
fmpz * prod;
|
||
|
|
|
||
|
|
if (m >= 2*n)
|
||
|
|
{
|
||
|
|
_fmpz_poly_rem_powers_precomp(A + n, m - n, B, n, powers);
|
||
|
|
m = 2*n - 1;
|
||
|
|
while (m && fmpz_is_zero(A + m - 1)) m--;
|
||
|
|
}
|
||
|
|
|
||
|
|
if (m < n)
|
||
|
|
return;
|
||
|
|
|
||
|
|
prod = _fmpz_vec_init(n - 1);
|
||
|
|
|
||
|
|
for (i = n - 1; i < m; i++)
|
||
|
|
{
|
||
|
|
_fmpz_vec_scalar_mul_fmpz(prod, powers[i], n - 1, A + i);
|
||
|
|
_fmpz_poly_add(A, A, n - 1, prod, n - 1);
|
||
|
|
}
|
||
|
|
|
||
|
|
_fmpz_vec_clear(prod, n - 1);
|
||
|
|
}
|
||
|
|
|
||
|
|
void
|
||
|
|
fmpz_poly_rem_powers_precomp(fmpz_poly_t R, const fmpz_poly_t A,
|
||
|
|
const fmpz_poly_t B, const fmpz_poly_powers_precomp_t B_inv)
|
||
|
|
{
|
||
|
|
fmpz_poly_t tR;
|
||
|
|
fmpz *r;
|
||
|
|
slong len1 = A->length, len2 = B->length;
|
||
|
|
|
||
|
|
if (len1 < len2)
|
||
|
|
{
|
||
|
|
fmpz_poly_set(R, A);
|
||
|
|
return;
|
||
|
|
}
|
||
|
|
|
||
|
|
if (R == B)
|
||
|
|
{
|
||
|
|
fmpz_poly_init2(tR, len1);
|
||
|
|
r = tR->coeffs;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fmpz_poly_fit_length(R, len1);
|
||
|
|
r = R->coeffs;
|
||
|
|
}
|
||
|
|
|
||
|
|
if (R == B || R != A)
|
||
|
|
_fmpz_vec_set(r, A->coeffs, len1);
|
||
|
|
|
||
|
|
_fmpz_poly_rem_powers_precomp(r, len1, B->coeffs, len2, B_inv->powers);
|
||
|
|
|
||
|
|
if (R == B)
|
||
|
|
{
|
||
|
|
_fmpz_poly_set_length(tR, len2 - 1);
|
||
|
|
fmpz_poly_swap(tR, R);
|
||
|
|
fmpz_poly_clear(tR);
|
||
|
|
}
|
||
|
|
else
|
||
|
|
_fmpz_poly_set_length(R, len2 - 1);
|
||
|
|
|
||
|
|
_fmpz_poly_normalise(R);
|
||
|
|
}
|