pqc/external/flint-2.4.3/ulong_extras/test/t-prime_pi_bounds.c

85 lines
2.6 KiB
C
Raw Normal View History

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(mp_limb_t n, ulong ans)
{
int ok, reasonable;
ulong lo, hi;
n_prime_pi_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("prime_pi_bounds....");
fflush(stdout);
for (n=17; n<10000 * FLINT_MIN(10, flint_test_multiplier()); n++)
{
check(n, n_prime_pi(n));
}
check(UWORD(10), UWORD(4));
check(UWORD(100), UWORD(25));
check(UWORD(1000), UWORD(168));
check(UWORD(10000), UWORD(1229));
check(UWORD(100000), UWORD(9592));
check(UWORD(1000000), UWORD(78498));
check(UWORD(10000000), UWORD(664579));
check(UWORD(100000000), UWORD(5761455));
check(UWORD(1000000000), UWORD(50847534));
#if FLINT64
check(UWORD(10000000000), UWORD(455052511));
check(UWORD(100000000000), UWORD(4118054813));
check(UWORD(1000000000000), UWORD(37607912018));
check(UWORD(10000000000000), UWORD(346065536839));
check(UWORD(100000000000000), UWORD(3204941750802));
check(UWORD(1000000000000000), UWORD(29844570422669));
check(UWORD(10000000000000000), UWORD(279238341033925));
check(UWORD(100000000000000000), UWORD(2623557157654233));
#endif
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}