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/*
Copyright (C) 2012 Sebastian Pancratz
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 "padic.h"
#include "padic_poly.h"
int _padic_poly_is_reduced(const fmpz *op, slong val, slong len, slong N,
const padic_ctx_t ctx)
{
slong w;
if (len == 0)
{
return (val == 0);
}
w = _fmpz_vec_ord_p(op, len, ctx->p);
if (w != 0 || val >= N)
{
return 0;
}
{
fmpz_t pow;
int r, alloc;
slong i;
alloc = _padic_ctx_pow_ui(pow, N - val, ctx);
r = 1;
for (i = 0; (i < len) && (r); i++)
if (fmpz_sgn(op + i) < 0 || fmpz_cmp(op + i, pow) >= 0)
r = 0;
if (alloc)
fmpz_clear(pow);
return r;
}
}
int padic_poly_is_reduced(const padic_poly_t op, const padic_ctx_t ctx)
{
return _padic_poly_is_reduced(op->coeffs, op->val, op->length, op->N, ctx);
}