85 lines
2.6 KiB
C
85 lines
2.6 KiB
C
/*=============================================================================
|
|
|
|
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;
|
|
}
|