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/*
Copyright (C) 2022 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 "gr_poly.h"
truth_t
_gr_poly_is_monic(gr_srcptr poly, slong len, gr_ctx_t ctx)
{
gr_srcptr lead;
slong sz = ctx->sizeof_elem;
truth_t is_one, is_zero;
if (len == 0)
return T_FALSE;
lead = GR_ENTRY(poly, len - 1, sz);
is_one = gr_is_one(lead, ctx);
if (is_one == T_TRUE)
return T_TRUE;
/* in case of unnormalized input */
is_zero = gr_is_zero(lead, ctx);
if (is_one == T_FALSE && is_zero == T_FALSE)
return T_FALSE;
return T_UNKNOWN;
}
truth_t
gr_poly_is_monic(const gr_poly_t res, gr_ctx_t ctx)
{
return _gr_poly_is_monic(res->coeffs, res->length, ctx);
}