/*=============================================================================

    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) 2010 William Hart
    Copyright (C) 2011 Fredrik Johansson
    Copyright (C) 2013 Mike Hansen

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


#ifdef T

#include "templates.h"

ulong
TEMPLATE(T, poly_deflation) (const TEMPLATE(T, poly_t) input,
                             const TEMPLATE(T, ctx_t) ctx)
{
    ulong deflation;
    slong i, coeff;

    if (input->length <= 1)
        return input->length;

    coeff = 1;
    while (TEMPLATE(T, is_zero) (input->coeffs + coeff, ctx))
        coeff++;

    deflation = n_gcd_full(input->length - 1, coeff);

    while ((deflation > 1) && (coeff + deflation < input->length))
    {
        for (i = 0; i < deflation - 1; i++)
        {
            coeff++;
            if (!TEMPLATE(T, is_zero) (input->coeffs + coeff, ctx))
                deflation = n_gcd_full(coeff, deflation);
        }
        if (i == deflation - 1)
            coeff++;
    }

    return deflation;
}


#endif