325 lines
9.2 KiB
C
325 lines
9.2 KiB
C
/* Test mpz_gcd, mpz_gcdext, and mpz_gcd_ui.
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Copyright 1991, 1993, 1994, 1996, 1997, 2000, 2001, 2002, 2003, 2004, 2005
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Free Software Foundation, Inc.
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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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#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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#include "tests.h"
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void one_test __GMP_PROTO ((mpz_t, mpz_t, mpz_t, int));
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void debug_mp __GMP_PROTO ((mpz_t, int));
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static int gcdext_valid_p __GMP_PROTO ((const mpz_t a, const mpz_t b, const mpz_t g, const mpz_t s));
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void
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check_data (void)
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{
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static const struct {
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const char *a;
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const char *b;
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const char *want;
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} data[] = {
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/* This tickled a bug in gmp 4.1.2 mpn/x86/k6/gcd_finda.asm. */
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{ "0x3FFC000007FFFFFFFFFF00000000003F83FFFFFFFFFFFFFFF80000000000000001",
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"0x1FFE0007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC000000000000000000000001",
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"5" }
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};
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mpz_t a, b, got, want;
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int i;
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mpz_init (a);
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mpz_init (b);
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mpz_init (got);
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mpz_init (want);
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for (i = 0; i < numberof (data); i++)
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{
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mpz_set_str_or_abort (a, data[i].a, 0);
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mpz_set_str_or_abort (b, data[i].b, 0);
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mpz_set_str_or_abort (want, data[i].want, 0);
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mpz_gcd (got, a, b);
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MPZ_CHECK_FORMAT (got);
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if (mpz_cmp (got, want) != 0)
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{
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printf ("mpz_gcd wrong on data[%d]\n", i);
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printf (" a %s\n", data[i].a);
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printf (" b %s\n", data[i].b);
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mpz_trace (" a", a);
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mpz_trace (" b", b);
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mpz_trace (" want", want);
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mpz_trace (" got ", got);
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abort ();
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}
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}
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mpz_clear (a);
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mpz_clear (b);
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mpz_clear (got);
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mpz_clear (want);
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}
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/* Keep one_test's variables global, so that we don't need
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to reinitialize them for each test. */
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mpz_t gcd1, gcd2, s, t, temp1, temp2;
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#define MIN_OPERAND_BITSIZE 1
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int
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main (int argc, char **argv)
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{
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mpz_t op1, op2, ref;
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int i, j, chain_len;
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gmp_randstate_t rands;
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mpz_t bs;
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unsigned long bsi, size_range;
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int reps = 200;
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if (argc == 2)
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reps = atoi (argv[1]);
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tests_start ();
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gmp_randinit_default(rands);
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check_data ();
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mpz_init (bs);
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mpz_init (op1);
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mpz_init (op2);
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mpz_init (ref);
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mpz_init (gcd1);
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mpz_init (gcd2);
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mpz_init (temp1);
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mpz_init (temp2);
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mpz_init (s);
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mpz_init (t);
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for (i = 0; i < reps; i++)
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{
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/* Generate plain operands with unknown gcd. These types of operands
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have proven to trigger certain bugs in development versions of the
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gcd code. The "hgcd->row[3].rsize > M" ASSERT is not triggered by
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the division chain code below, but that is most likely just a result
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of that other ASSERTs are triggered before it. */
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mpz_urandomb (bs, rands, 32);
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size_range = mpz_get_ui (bs) % 16 + 2;
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mpz_urandomb (bs, rands, size_range);
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mpz_urandomb (op1, rands, mpz_get_ui (bs) + MIN_OPERAND_BITSIZE);
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mpz_urandomb (bs, rands, size_range);
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mpz_urandomb (op2, rands, mpz_get_ui (bs) + MIN_OPERAND_BITSIZE);
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mpz_urandomb (bs, rands, 2);
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bsi = mpz_get_ui (bs);
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if ((bsi & 1) != 0)
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mpz_neg (op1, op1);
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if ((bsi & 2) != 0)
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mpz_neg (op2, op2);
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one_test (op1, op2, NULL, i);
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/* Generate a division chain backwards, allowing otherwise unlikely huge
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quotients. */
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mpz_set_ui (op1, 0);
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mpz_urandomb (bs, rands, 32);
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mpz_urandomb (bs, rands, mpz_get_ui (bs) % 16 + 1);
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mpz_rrandomb (op2, rands, mpz_get_ui (bs));
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mpz_add_ui (op2, op2, 1);
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mpz_set (ref, op2);
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mpz_urandomb (bs, rands, 32);
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chain_len = mpz_get_ui (bs) % 50;
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for (j = 0; j < chain_len; j++)
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{
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mpz_urandomb (bs, rands, 32);
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mpz_urandomb (bs, rands, mpz_get_ui (bs) % 12 + 1);
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mpz_rrandomb (temp2, rands, mpz_get_ui (bs) + 1);
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mpz_add_ui (temp2, temp2, 1);
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mpz_mul (temp1, op2, temp2);
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mpz_add (op1, op1, temp1);
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/* Don't generate overly huge operands. */
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if (SIZ (op1) > 1000)
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break;
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mpz_urandomb (bs, rands, 32);
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mpz_urandomb (bs, rands, mpz_get_ui (bs) % 12 + 1);
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mpz_rrandomb (temp2, rands, mpz_get_ui (bs) + 1);
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mpz_add_ui (temp2, temp2, 1);
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mpz_mul (temp1, op1, temp2);
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mpz_add (op2, op2, temp1);
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/* Don't generate overly huge operands. */
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if (SIZ (op2) > 1000)
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break;
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}
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one_test (op1, op2, ref, i);
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}
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mpz_clear (bs);
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mpz_clear (op1);
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mpz_clear (op2);
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mpz_clear (ref);
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mpz_clear (gcd1);
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mpz_clear (gcd2);
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mpz_clear (temp1);
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mpz_clear (temp2);
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mpz_clear (s);
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mpz_clear (t);
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gmp_randclear(rands);
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tests_end ();
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exit (0);
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}
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void
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debug_mp (mpz_t x, int base)
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{
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mpz_out_str (stderr, base, x); fputc ('\n', stderr);
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}
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void
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one_test (mpz_t op1, mpz_t op2, mpz_t ref, int i)
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{
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/*
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printf ("%ld %ld %ld\n", SIZ (op1), SIZ (op2), SIZ (ref));
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fflush (stdout);
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*/
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/*
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fprintf (stderr, "op1="); debug_mp (op1, -16);
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fprintf (stderr, "op2="); debug_mp (op2, -16);
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*/
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mpz_gcdext (gcd1, s, NULL, op1, op2);
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if (ref && mpz_cmp (ref, gcd1) != 0)
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{
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fprintf (stderr, "ERROR in test %d\n", i);
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fprintf (stderr, "mpz_gcdext returned incorrect result\n");
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fprintf (stderr, "op1="); debug_mp (op1, -16);
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fprintf (stderr, "op2="); debug_mp (op2, -16);
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fprintf (stderr, "expected result:\n"); debug_mp (ref, -16);
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fprintf (stderr, "mpz_gcdext returns:\n");debug_mp (gcd1, -16);
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abort ();
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}
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if (!gcdext_valid_p(op1, op2, gcd1, s))
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{
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fprintf (stderr, "ERROR in test %d\n", i);
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fprintf (stderr, "mpz_gcdext returned invalid result\n");
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fprintf (stderr, "op1="); debug_mp (op1, -16);
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fprintf (stderr, "op2="); debug_mp (op2, -16);
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fprintf (stderr, "mpz_gcdext returns:\n");debug_mp (gcd1, -16);
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abort ();
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}
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mpz_gcd (gcd2, op1, op2);
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if (mpz_cmp (gcd2, gcd1) != 0)
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{
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fprintf (stderr, "ERROR in test %d\n", i);
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fprintf (stderr, "mpz_gcd returned incorrect result\n");
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fprintf (stderr, "op1="); debug_mp (op1, -16);
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fprintf (stderr, "op2="); debug_mp (op2, -16);
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fprintf (stderr, "expected result:\n"); debug_mp (gcd1, -16);
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fprintf (stderr, "mpz_gcd returns:\n"); debug_mp (gcd2, -16);
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abort ();
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}
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/* This should probably move to t-gcd_ui.c */
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if (mpz_fits_ulong_p (op1) || mpz_fits_ulong_p (op2))
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{
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if (mpz_fits_ulong_p (op1))
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mpz_gcd_ui (gcd2, op2, mpz_get_ui (op1));
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else
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mpz_gcd_ui (gcd2, op1, mpz_get_ui (op2));
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if (mpz_cmp (gcd2, gcd1))
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{
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fprintf (stderr, "ERROR in test %d\n", i);
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fprintf (stderr, "mpz_gcd_ui returned incorrect result\n");
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fprintf (stderr, "op1="); debug_mp (op1, -16);
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fprintf (stderr, "op2="); debug_mp (op2, -16);
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fprintf (stderr, "expected result:\n"); debug_mp (gcd1, -16);
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fprintf (stderr, "mpz_gcd_ui returns:\n"); debug_mp (gcd2, -16);
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abort ();
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}
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}
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mpz_gcdext (gcd2, temp1, temp2, op1, op2);
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mpz_mul (temp1, temp1, op1);
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mpz_mul (temp2, temp2, op2);
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mpz_add (temp1, temp1, temp2);
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if (mpz_cmp (gcd1, gcd2) != 0
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|| mpz_cmp (gcd2, temp1) != 0)
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{
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fprintf (stderr, "ERROR in test %d\n", i);
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fprintf (stderr, "mpz_gcdext returned incorrect result\n");
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fprintf (stderr, "op1="); debug_mp (op1, -16);
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fprintf (stderr, "op2="); debug_mp (op2, -16);
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fprintf (stderr, "expected result:\n"); debug_mp (gcd1, -16);
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fprintf (stderr, "mpz_gcdext returns:\n");debug_mp (gcd2, -16);
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abort ();
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}
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}
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/* Called when g is supposed to be gcd(a,b), and g = s a + t b, for some t.
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Uses temp1 and temp2 */
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static int
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gcdext_valid_p (const mpz_t a, const mpz_t b, const mpz_t g, const mpz_t s)
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{
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/* It's not clear that gcd(0,0) is well defined, but we allow it and require that
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allow gcd(0,0) = 0. */
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if (mpz_sgn (g) < 0)
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return 0;
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if (mpz_sgn (a) == 0)
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{
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/* Must have g == abs (b). Any value for s is in some sense "correct",
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but it makes sense to require that s == 0. */
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return mpz_cmpabs (g, b) == 0 && mpz_sgn (s) == 0;
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}
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else if (mpz_sgn (b) == 0)
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{
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/* Must have g == abs (a), s == sign (a) */
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return mpz_cmpabs (g, a) == 0 && mpz_cmp_si (s, mpz_sgn (a)) == 0;
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}
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if (mpz_sgn (g) <= 0)
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return 0;
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if (! (mpz_divisible_p (a, g)
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&& mpz_divisible_p (b, g)
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&& mpz_cmpabs (s, b) <= 0))
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return 0;
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mpz_mul(temp1, s, a);
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mpz_sub(temp1, g, temp1);
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mpz_tdiv_qr(temp1, temp2, temp1, b);
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return mpz_sgn (temp2) == 0 && mpz_cmpabs (temp1, a) <= 0;
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}
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