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/*
Copyright (C) 2020 Fredrik Johansson
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "ca_poly.h"
int
ca_poly_squarefree_part(ca_poly_t res, const ca_poly_t poly, ca_ctx_t ctx)
{
ca_poly_t t;
int success;
if (poly->length <= 1)
{
ca_poly_one(res, ctx);
return 1;
}
if (poly->length == 2)
return ca_poly_make_monic(res, poly, ctx);
ca_poly_init(t, ctx);
ca_poly_derivative(t, poly, ctx);
success = ca_poly_gcd(t, poly, t, ctx);
if (success)
{
if (t->length == 1) /* gcd = 1 */
{
success = ca_poly_make_monic(res, poly, ctx);
}
else
{
success = ca_poly_div(res, poly, t, ctx);
if (success)
success = ca_poly_make_monic(res, res, ctx);
}
}
ca_poly_clear(t, ctx);
return success;
}