85 lines
2.6 KiB
C
85 lines
2.6 KiB
C
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/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2010 Fredrik Johansson
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include "flint.h"
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#include "ulong_extras.h"
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void check(mp_limb_t n, ulong ans)
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{
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int ok, reasonable;
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ulong lo, hi;
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n_prime_pi_bounds(&lo, &hi, n);
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ok = lo <= ans && ans <= hi;
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reasonable = (n < 1000) || (ans/2 < lo && hi < ans*2);
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if (ok && reasonable)
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return;
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flint_printf("FAIL:\n");
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flint_printf("n = %wu: %wu < %wu < %wu\n", n, lo, ans, hi);
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abort();
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}
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int main(void)
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{
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int n;
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FLINT_TEST_INIT(state);
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flint_printf("prime_pi_bounds....");
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fflush(stdout);
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for (n=17; n<10000 * FLINT_MIN(10, flint_test_multiplier()); n++)
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{
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check(n, n_prime_pi(n));
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}
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check(UWORD(10), UWORD(4));
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check(UWORD(100), UWORD(25));
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check(UWORD(1000), UWORD(168));
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check(UWORD(10000), UWORD(1229));
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check(UWORD(100000), UWORD(9592));
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check(UWORD(1000000), UWORD(78498));
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check(UWORD(10000000), UWORD(664579));
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check(UWORD(100000000), UWORD(5761455));
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check(UWORD(1000000000), UWORD(50847534));
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#if FLINT64
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check(UWORD(10000000000), UWORD(455052511));
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check(UWORD(100000000000), UWORD(4118054813));
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check(UWORD(1000000000000), UWORD(37607912018));
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check(UWORD(10000000000000), UWORD(346065536839));
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check(UWORD(100000000000000), UWORD(3204941750802));
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check(UWORD(1000000000000000), UWORD(29844570422669));
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check(UWORD(10000000000000000), UWORD(279238341033925));
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check(UWORD(100000000000000000), UWORD(2623557157654233));
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#endif
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return 0;
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}
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