File: sqrt.c

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flint 2.4.4-2
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/*=============================================================================

    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) 2012 Fredrik Johansson

******************************************************************************/

#include <gmp.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpz_poly.h"

int
_fmpz_poly_sqrt(fmpz * res, const fmpz * poly, slong len)
{
    return _fmpz_poly_sqrt_classical(res, poly, len);
}

int
fmpz_poly_sqrt(fmpz_poly_t b, const fmpz_poly_t a)
{
    slong blen, len = a->length;
    int result;

    if (len % 2 == 0)
    {
        fmpz_poly_zero(b);
        return len == 0;
    }

    if (b == a)
    {
        fmpz_poly_t tmp;
        fmpz_poly_init(tmp);
        result = fmpz_poly_sqrt(tmp, a);
        fmpz_poly_swap(b, tmp);
        fmpz_poly_clear(tmp);
        return result;
    }

    blen = len / 2 + 1;
    fmpz_poly_fit_length(b, blen);
    _fmpz_poly_set_length(b, blen);
    result = _fmpz_poly_sqrt(b->coeffs, a->coeffs, len);
    if (!result)
        _fmpz_poly_set_length(b, 0);
    return result;
}