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/*
Copyright (C) 2020 Daniel Schultz
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 "fmpq_mpoly.h"
int fmpq_mpoly_sqrt(fmpq_mpoly_t Q, const fmpq_mpoly_t A,
const fmpq_mpoly_ctx_t ctx)
{
fmpz_t r;
fmpz_init(r);
if (fmpz_sgn(fmpq_numref(A->content)) < 0)
goto fail;
fmpz_sqrtrem(fmpq_numref(Q->content), r, fmpq_numref(A->content));
if (!fmpz_is_zero(r))
goto fail;
fmpz_sqrtrem(fmpq_denref(Q->content), r, fmpq_denref(A->content));
if (!fmpz_is_zero(r))
goto fail;
if (!fmpz_mpoly_sqrt(Q->zpoly, A->zpoly, ctx->zctx))
goto fail;
fmpz_clear(r);
return 1;
fail:
fmpq_mpoly_zero(Q, ctx);
fmpz_clear(r);
return 0;
}