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/*
Copyright (C) 2011 Fredrik Johansson
Copyright (C) 2012 Lina Kulakova
Copyright (C) 2013 Mike Hansen
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/>.
*/
#ifdef T
#include "templates.h"
int
_TEMPLATE(T, poly_is_squarefree) (const TEMPLATE(T, struct) * f, slong len,
const TEMPLATE(T, ctx_t) ctx)
{
TEMPLATE(T, struct) * fd, *g;
slong dlen;
int res;
if (len <= 2)
return len != 0;
fd = _TEMPLATE(T, vec_init) (2 * (len - 1), ctx);
g = fd + len - 1;
_TEMPLATE(T, poly_derivative) (fd, f, len, ctx);
dlen = len - 1;
TEMPLATE(CAP_T, VEC_NORM) (fd, dlen, ctx);
if (dlen)
{
res = (_TEMPLATE(T, poly_gcd) (g, f, len, fd, dlen, ctx) == 1);
}
else
res = 0; /* gcd(f, 0) = f, and len(f) > 2 */
_TEMPLATE(T, vec_clear) (fd, 2 * (len - 1), ctx);
return res;
}
int
TEMPLATE(T, poly_is_squarefree) (const TEMPLATE(T, poly_t) f,
const TEMPLATE(T, ctx_t) ctx)
{
return _TEMPLATE(T, poly_is_squarefree) (f->coeffs, f->length, ctx);
}
#endif