1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
|
/*
* Simple test driver for MPI library
*
* Test 4: Modular arithmetic tests
*
* This Source Code Form is subject to the terms of the Mozilla Public
* License, v. 2.0. If a copy of the MPL was not distributed with this
* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <ctype.h>
#include <limits.h>
#include "mpi.h"
int
main(int argc, char *argv[])
{
int ix;
mp_int a, b, c, m;
mp_digit r;
if (argc < 4) {
fprintf(stderr, "Usage: %s <a> <b> <m>\n", argv[0]);
return 1;
}
printf("Test 4: Modular arithmetic\n\n");
mp_init(&a);
mp_init(&b);
mp_init(&m);
mp_read_radix(&a, argv[1], 10);
mp_read_radix(&b, argv[2], 10);
mp_read_radix(&m, argv[3], 10);
printf("a = ");
mp_print(&a, stdout);
fputc('\n', stdout);
printf("b = ");
mp_print(&b, stdout);
fputc('\n', stdout);
printf("m = ");
mp_print(&m, stdout);
fputc('\n', stdout);
mp_init(&c);
printf("\nc = a (mod m)\n");
mp_mod(&a, &m, &c);
printf("c = ");
mp_print(&c, stdout);
fputc('\n', stdout);
printf("\nc = b (mod m)\n");
mp_mod(&b, &m, &c);
printf("c = ");
mp_print(&c, stdout);
fputc('\n', stdout);
printf("\nc = b (mod 1853)\n");
mp_mod_d(&b, 1853, &r);
printf("c = %04X\n", r);
printf("\nc = (a + b) mod m\n");
mp_addmod(&a, &b, &m, &c);
printf("c = ");
mp_print(&c, stdout);
fputc('\n', stdout);
printf("\nc = (a - b) mod m\n");
mp_submod(&a, &b, &m, &c);
printf("c = ");
mp_print(&c, stdout);
fputc('\n', stdout);
printf("\nc = (a * b) mod m\n");
mp_mulmod(&a, &b, &m, &c);
printf("c = ");
mp_print(&c, stdout);
fputc('\n', stdout);
printf("\nc = (a ** b) mod m\n");
mp_exptmod(&a, &b, &m, &c);
printf("c = ");
mp_print(&c, stdout);
fputc('\n', stdout);
printf("\nIn-place modular squaring test:\n");
for (ix = 0; ix < 5; ix++) {
printf("a = (a * a) mod m a = ");
mp_sqrmod(&a, &m, &a);
mp_print(&a, stdout);
fputc('\n', stdout);
}
mp_clear(&c);
mp_clear(&m);
mp_clear(&b);
mp_clear(&a);
return 0;
}
|
