xref: /netbsd-src/external/lgpl3/gmp/dist/tests/mpz/t-invert.c (revision dd255ccea4286b0c44fa8fd48a9a19a768afe8e1)
1 /* Test mpz_invert.
2 
3 Copyright 1991, 1993, 1994, 1996, 1997, 2000, 2001, 2002, 2003, 2004, 2005,
4 2008, 2009, 2012 Free Software Foundation, Inc.
5 
6 This file is part of the GNU MP Library test suite.
7 
8 The GNU MP Library test suite is free software; you can redistribute it
9 and/or modify it under the terms of the GNU General Public License as
10 published by the Free Software Foundation; either version 3 of the License,
11 or (at your option) any later version.
12 
13 The GNU MP Library test suite is distributed in the hope that it will be
14 useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General
16 Public License for more details.
17 
18 You should have received a copy of the GNU General Public License along with
19 the GNU MP Library test suite.  If not, see http://www.gnu.org/licenses/.  */
20 
21 #include <stdio.h>
22 #include <stdlib.h>
23 
24 #include "gmp.h"
25 #include "gmp-impl.h"
26 #include "tests.h"
27 
28 int
29 main (int argc, char **argv)
30 {
31   mpz_t a, m, ainv, t;
32   int test, r;
33   gmp_randstate_ptr rands;
34   mpz_t bs;
35   unsigned long bsi, size_range;
36   int reps = 1000;
37 
38   tests_start ();
39   TESTS_REPS (reps, argv, argc);
40 
41   rands = RANDS;
42 
43   mpz_init (bs);
44   mpz_init (a);
45   mpz_init (m);
46   mpz_init (ainv);
47   mpz_init (t);
48 
49   for (test = 0; test < reps; test++)
50     {
51       mpz_urandomb (bs, rands, 32);
52       size_range = mpz_get_ui (bs) % 16 + 2;
53 
54       mpz_urandomb (bs, rands, size_range);
55       mpz_rrandomb (a, rands, mpz_get_ui (bs));
56       do {
57 	mpz_urandomb (bs, rands, size_range);
58 	mpz_rrandomb (m, rands, mpz_get_ui (bs));
59       } while (mpz_sgn (m) == 0);
60 
61       mpz_urandomb (bs, rands, 8);
62       bsi = mpz_get_ui (bs);
63 
64       if ((bsi & 1) != 0)
65 	mpz_neg (a, a);
66       if ((bsi & 2) != 0)
67 	mpz_neg (m, m);
68 
69       r = mpz_invert (ainv, a, m);
70       if (r != 0)
71 	{
72 	  MPZ_CHECK_FORMAT (ainv);
73 
74 	  if (mpz_cmp_ui (ainv, 0) <= 0 || mpz_cmpabs (ainv, m) >= 0)
75 	    {
76 	      fprintf (stderr, "ERROR in test %d\n", test);
77 	      gmp_fprintf (stderr, "Inverse out of range.\n");
78 	      gmp_fprintf (stderr, "a = %Zx\n", a);
79 	      gmp_fprintf (stderr, "m = %Zx\n", m);
80 	      abort ();
81 	    }
82 
83 	  mpz_mul (t, ainv, a);
84 	  mpz_mod (t, t, m);
85 
86 	  if (mpz_cmp_ui (t, 1) != 0)
87 	    {
88 	      fprintf (stderr, "ERROR in test %d\n", test);
89 	      gmp_fprintf (stderr, "a^(-1)*a != 1 (mod m)\n");
90 	      gmp_fprintf (stderr, "a = %Zx\n", a);
91 	      gmp_fprintf (stderr, "m = %Zx\n", m);
92 	      abort ();
93 	    }
94 	}
95       else /* Inverse deos not exist */
96 	{
97 	  if (mpz_cmpabs_ui (m, 1) <= 0)
98 	    continue; /* OK */
99 
100 	  mpz_gcd (t, a, m);
101 	  if (mpz_cmp_ui (t, 1) == 0)
102 	    {
103 	      fprintf (stderr, "ERROR in test %d\n", test);
104 	      gmp_fprintf (stderr, "Inverse exists, but was not found.\n");
105 	      gmp_fprintf (stderr, "a = %Zx\n", a);
106 	      gmp_fprintf (stderr, "m = %Zx\n", m);
107 	      abort ();
108 	    }
109 	}
110     }
111 
112   mpz_clear (bs);
113   mpz_clear (a);
114   mpz_clear (m);
115   mpz_clear (ainv);
116   mpz_clear (t);
117 
118   tests_end ();
119   exit (0);
120 }
121