pqc/external/flint-2.4.3/arith/test/t-divisor_sigma.c

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2014-05-18 22:03:37 +00:00
/*=============================================================================
This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2010 Fredrik Johansson
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include "flint.h"
#include "fmpz_poly.h"
#include "fmpz.h"
#include "arith.h"
#include "ulong_extras.h"
void fmpz_sigma_naive(fmpz_t x, ulong n, ulong k)
{
slong i = 0;
fmpz_t t;
fmpz_poly_t p;
fmpz_init(t);
fmpz_poly_init(p);
fmpz_set_ui(t, n);
arith_divisors(p, t);
fmpz_zero(x);
for (i = 0; i < p->length; i++)
{
fmpz_poly_get_coeff_fmpz(t, p, i);
fmpz_pow_ui(t, t, k);
fmpz_add(x, x, t);
}
fmpz_clear(t);
fmpz_poly_clear(p);
}
int main(void)
{
fmpz_t m, a, b;
slong n, k;
FLINT_TEST_INIT(state);
flint_printf("divisor_sigma....");
fflush(stdout);
fmpz_init(a);
fmpz_init(b);
fmpz_init(m);
for (n = 0; n < 5000; n++)
{
for (k = 0; k < 10; k++)
{
fmpz_set_ui(m, n);
arith_divisor_sigma(a, m, k);
fmpz_sigma_naive(b, n, k);
if (!fmpz_equal(a, b))
{
flint_printf("FAIL:\n");
flint_printf("wrong value for n=%wd, k=%wd\n", n, k);
abort();
}
}
}
fmpz_clear(a);
fmpz_clear(b);
fmpz_clear(m);
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}