pqc/external/flint-2.4.3/ulong_extras/test/t-nth_prime_bounds.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 "ulong_extras.h"
void check(ulong n, mp_limb_t ans)
{
int ok, reasonable;
mp_limb_t lo, hi;
n_nth_prime_bounds(&lo, &hi, n);
ok = lo <= ans && ans <= hi;
reasonable = (n < 1000) || (ans/2 < lo && hi < ans*2);
if (ok && reasonable)
return;
flint_printf("FAIL:\n");
flint_printf("n = %wu: %wu < %wu < %wu\n", n, lo, ans, hi);
abort();
}
int main(void)
{
int n;
FLINT_TEST_INIT(state);
flint_printf("nth_prime_bounds....");
fflush(stdout);
for (n=6; n<7500 * FLINT_MIN(10, flint_test_multiplier()); n++)
{
check(n, n_nth_prime(n));
}
/* Some known large primes */
check(UWORD(10), UWORD(29));
check(UWORD(100), UWORD(541));
check(UWORD(1000), UWORD(7919));
check(UWORD(10000), UWORD(104729));
check(UWORD(100000), UWORD(1299709));
check(UWORD(1000000), UWORD(15485863));
check(UWORD(10000000), UWORD(179424673));
check(UWORD(100000000), UWORD(2038074743));
#if FLINT64
check(UWORD(1000000000), UWORD(22801763489));
check(UWORD(10000000000), UWORD(252097800623));
check(UWORD(100000000000), UWORD(2760727302517));
check(UWORD(1000000000000), UWORD(29996224275833));
check(UWORD(10000000000000), UWORD(323780508946331));
check(UWORD(100000000000000), UWORD(3475385758524527));
check(UWORD(1000000000000000), UWORD(37124508045065437));
check(UWORD(10000000000000000), UWORD(394906913903735329));
check(UWORD(100000000000000000), UWORD(4185296581467695669));
#endif
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}