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/*
Copyright (C) 2020 Daniel Schultz
Copyright (C) 2025 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 "mpoly.h"
#include "gr_mpoly.h"
truth_t gr_mpoly_is_one(const gr_mpoly_t A, gr_mpoly_ctx_t ctx)
{
if (A->length == 0)
return gr_ctx_is_zero_ring(ctx);
if (gr_ctx_is_canonical(GR_MPOLY_CCTX(ctx)) == T_TRUE)
{
slong N;
if (A->length != 1)
return T_FALSE;
N = mpoly_words_per_exp(A->bits, GR_MPOLY_MCTX(ctx));
if (!mpoly_monomial_is_zero(A->exps + N*0, N))
return T_FALSE;
return gr_is_one(A->coeffs, GR_MPOLY_CCTX(ctx));
}
else
{
gr_mpoly_t t;
truth_t res = T_UNKNOWN;
gr_mpoly_init(t, ctx);
if (gr_mpoly_one(t, ctx) == GR_SUCCESS)
res = gr_mpoly_equal(A, t, ctx);
gr_mpoly_clear(t, ctx);
return res;
}
}