/*
    Copyright (C) 2018 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 2.1 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#include "nmod_mpoly.h"

int nmod_mpoly_is_canonical(const nmod_mpoly_t A, const nmod_mpoly_ctx_t ctx)
{
    slong i;

    if (!mpoly_monomials_valid_test(A->exps, A->length, A->bits, ctx->minfo))
        return 0;

    if (mpoly_monomials_overflow_test(A->exps, A->length, A->bits, ctx->minfo))
        return 0;

    if (!mpoly_monomials_inorder_test(A->exps, A->length, A->bits, ctx->minfo))
        return 0;

    for (i = 0; i < A->length; i++)
    {
        if (A->coeffs[i] == UWORD(0))
            return 0;

        if (A->coeffs[i] >= ctx->mod.n)
            return 0;
    }

    return 1;
}

void
nmod_mpoly_assert_canonical(const nmod_mpoly_t A, const nmod_mpoly_ctx_t ctx)
{
    slong i;

    if (!mpoly_monomials_valid_test(A->exps, A->length, A->bits, ctx->minfo))
        flint_throw(FLINT_ERROR, "Polynomial exponents invalid");

    if (mpoly_monomials_overflow_test(A->exps, A->length, A->bits, ctx->minfo))
        flint_throw(FLINT_ERROR, "Polynomial exponents overflow");

    if (!mpoly_monomials_inorder_test(A->exps, A->length, A->bits, ctx->minfo))
        flint_throw(FLINT_ERROR, "Polynomial exponents out of order");

    for (i = 0; i < A->length; i++)
    {
        if (A->coeffs[i] == UWORD(0))
            flint_throw(FLINT_ERROR, "Polynomial has a zero coefficient");

        if (A->coeffs[i] >= ctx->mod.n)
            flint_throw(FLINT_ERROR, "Polynomial coefficient is out of range");
    }
}