2009-12-08 10:42:25 -05:00
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/* Test mpn_invert.
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Copyright 2002, 2003, 2004 Free Software Foundation, Inc.
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2009-12-08 10:43:58 -05:00
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Copyright 2009 Paul Zimmermann
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2009-12-08 10:47:04 -05:00
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Copyright 2009 William Hart
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2009-12-08 10:42:25 -05:00
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This file is part of the GNU MP Library.
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The GNU MP Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 2.1 of the License, or (at your
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option) any later version.
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The GNU MP Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MP Library; see the file COPYING.LIB. If not, write to
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the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
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MA 02110-1301, USA. */
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/* Note that we don't use <limits.h> for LONG_MIN, but instead our own
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definition in gmp-impl.h. In gcc 2.95.4 (debian 3.0) under
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-mcpu=ultrasparc, limits.h sees __sparc_v9__ defined and assumes that
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means long is 64-bit long, but it's only 32-bits, causing fatal compile
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errors. */
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#include <setjmp.h>
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#include <signal.h>
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#include <stdio.h>
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#include <stdlib.h>
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#include "mpir.h"
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#include "gmp-impl.h"
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2009-12-12 16:02:09 -05:00
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#include "longlong.h"
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2009-12-08 10:42:25 -05:00
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#include "tests.h"
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2009-12-12 16:02:09 -05:00
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#define ITERS 100
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2009-12-08 10:42:25 -05:00
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int
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test_invert (mp_ptr xp, mp_srcptr ap, mp_size_t n)
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{
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int res = 1;
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mp_size_t i;
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mp_ptr tp, up;
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mp_limb_t cy;
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TMP_DECL;
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TMP_MARK;
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tp = TMP_ALLOC_LIMBS (2 * n);
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up = TMP_ALLOC_LIMBS (2 * n);
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/* first check X*A < B^(2*n) */
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mpn_mul_n (tp, xp, ap, n);
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cy = mpn_add_n (tp + n, tp + n, ap, n); /* A * msb(X) */
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if (cy != 0)
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res = 0;
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/* now check B^(2n) - X*A <= A */
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mpn_com_n (tp, tp, 2 * n);
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mpn_add_1 (tp, tp, 2 * n, 1); /* B^(2n) - X*A */
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MPN_ZERO (up, 2 * n);
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MPN_COPY (up, ap, n);
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res = mpn_cmp (tp, up, 2 * n) <= 0;
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TMP_FREE;
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return res;
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}
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void check_rand(void)
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{
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mp_size_t i, n;
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mp_ptr qp, dp;
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gmp_randstate_t rands;
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gmp_randinit_default(rands);
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2010-03-14 09:46:49 -04:00
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for (n = 1; n < 3000; n++)
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{
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mp_limb_t bits;
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count_leading_zeros(bits, n);
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bits = GMP_LIMB_BITS - bits;
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if (n > 100) n+=2;
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if (n > 300) n+=4;
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if (n > 1000) n+=8;
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if (n > 2000) n+=16;
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qp = malloc (n * sizeof (mp_limb_t));
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dp = malloc (n * sizeof (mp_limb_t));
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mpn_rrandom(dp, rands, n);
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dp[n - 1] |= GMP_NUMB_HIGHBIT;
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2009-12-12 16:02:09 -05:00
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for (i = 0; i < ITERS/bits; i++)
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{
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mpn_rrandom(dp, rands, n);
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dp[n - 1] |= GMP_NUMB_HIGHBIT;
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mpn_invert (qp, dp, n);
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if (test_invert (qp, dp, n) == 0)
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{
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fprintf (stderr, "t-invert failed at n = %lu, i=%lu\n", n, i);
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gmp_printf ("A:= %Nx\n", dp, n);
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gmp_printf ("X:=B^%lu*%Nx\n", n, qp, n);
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abort();
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}
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}
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}
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free (qp);
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free (dp);
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gmp_randclear(rands);
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}
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int
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main (void)
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{
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tests_start ();
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check_rand ();
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tests_end ();
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exit (0);
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}
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