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
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
|
/*
* Copyright (C) 2018 vt@altlinux.org. All Rights Reserved.
*
* Contents licensed under the terms of the OpenSSL license
* See https://www.openssl.org/source/license.html for details
*/
#ifdef _MSC_VER
# pragma warning(push, 3)
# include <openssl/applink.c>
# pragma warning(pop)
#endif
#include "gost_lcl.h"
#include <openssl/evp.h>
#include <openssl/rand.h>
#include <openssl/err.h>
#include <openssl/asn1.h>
#include <openssl/obj_mac.h>
#include <openssl/ec.h>
#include <openssl/bn.h>
#include <string.h>
#define T(e) \
if (!(e)) { \
ERR_print_errors_fp(stderr); \
OpenSSLDie(__FILE__, __LINE__, #e); \
}
#define cRED "\033[1;31m"
#define cDRED "\033[0;31m"
#define cGREEN "\033[1;32m"
#define cDGREEN "\033[0;32m"
#define cBLUE "\033[1;34m"
#define cDBLUE "\033[0;34m"
#define cNORM "\033[m"
#define TEST_ASSERT(e) { \
test = e; \
if (test) \
printf(cRED " Test FAILED" cNORM "\n"); \
else \
printf(cGREEN " Test passed" cNORM "\n"); \
}
struct test_curve {
int nid;
const char *name;
int listed;
};
static struct test_curve test_curves[] = {
#if 2001
{ NID_id_GostR3410_2001_TestParamSet, },
#endif
{ NID_id_GostR3410_2001_CryptoPro_A_ParamSet },
{ NID_id_GostR3410_2001_CryptoPro_B_ParamSet },
{ NID_id_GostR3410_2001_CryptoPro_C_ParamSet },
{ NID_id_GostR3410_2001_CryptoPro_XchA_ParamSet },
{ NID_id_GostR3410_2001_CryptoPro_XchB_ParamSet },
{ NID_id_tc26_gost_3410_2012_512_paramSetA, "id-tc26-gost-3410-2012-512-paramSetA", },
{ NID_id_tc26_gost_3410_2012_512_paramSetB, "id-tc26-gost-3410-2012-512-paramSetB", },
{ NID_id_tc26_gost_3410_2012_512_paramSetC, "id-tc26-gost-3410-2012-512-paramSetC", },
{ NID_id_tc26_gost_3410_2012_256_paramSetA, "id-tc26-gost-3410-2012-256-paramSetA", },
{ NID_id_tc26_gost_3410_2012_256_paramSetB, "id-tc26-gost-3410-2012-256-paramSetB", },
{ NID_id_tc26_gost_3410_2012_256_paramSetC, "id-tc26-gost-3410-2012-256-paramSetC", },
{ NID_id_tc26_gost_3410_2012_256_paramSetD, "id-tc26-gost-3410-2012-256-paramSetD", },
0,
};
static struct test_curve *get_test_curve(int nid)
{
int i;
for (i = 0; test_curves[i].nid; i++)
if (test_curves[i].nid == nid)
return &test_curves[i];
return NULL;
}
static void print_bn(const char *name, const BIGNUM *n)
{
printf("%3s = ", name);
BN_print_fp(stdout, n);
printf("\n");
}
// https://wiki.openssl.org/index.php/Elliptic_Curve_Cryptography
static int parameter_test(struct test_curve *tc)
{
const int nid = tc->nid;
int test;
printf(cBLUE "Test curve NID %d" cNORM, nid);
if (tc->name)
printf(cBLUE ": %s" cNORM, tc->name);
else if (OBJ_nid2sn(nid))
printf(cBLUE ": %s" cNORM, OBJ_nid2sn(nid));
printf("\n");
if (!OBJ_nid2obj(nid)) {
printf(cRED "NID %d not found" cNORM "\n", nid);
return 1;
}
/* nid resolves in both directions */
const char *sn, *ln;
T(sn = OBJ_nid2sn(nid));
T(ln = OBJ_nid2ln(nid));
if (tc->name)
T(!strcmp(tc->name, OBJ_nid2sn(nid)));
T(nid == OBJ_sn2nid(sn));
T(nid == OBJ_ln2nid(ln));
EC_KEY *ec;
T(ec = EC_KEY_new());
if (!fill_GOST_EC_params(ec, nid)) {
printf(cRED "fill_GOST_EC_params FAIL" cNORM "\n");
ERR_print_errors_fp(stderr);
return 1;
}
const EC_GROUP *group;
T(group = EC_KEY_get0_group(ec));
BN_CTX *ctx;
T(ctx = BN_CTX_new());
BIGNUM *p, *a, *b;
T(p = BN_new());
T(a = BN_new());
T(b = BN_new());
EC_GROUP_get_curve(group, p, a, b, ctx);
print_bn("p", p);
print_bn("a", a);
print_bn("b", b);
T(!BN_is_zero(p));
T(BN_is_odd(p)); /* Should be odd for F_p */
T(!BN_is_zero(a));
T(!BN_is_zero(b));
/* Check generator */
const EC_POINT *generator;
T(generator = EC_GROUP_get0_generator(group));
BIGNUM *x, *y;
T(x = BN_new());
T(y = BN_new());
T(EC_POINT_get_affine_coordinates(group, generator, x, y, ctx));
print_bn("x", x);
print_bn("y", y);
T(!BN_is_zero(y));
/* Generator is not identity element 0 */
T(EC_POINT_is_at_infinity(group, generator) == 0);
/* x and y is in range [1 .. p-1] */
T(!BN_is_negative(x));
T(!BN_is_negative(y));
T(BN_cmp(x, p) < 0);
T(BN_cmp(y, p) < 0);
/* Generator should be on curve */
T(EC_POINT_is_on_curve(group, generator, ctx) == 1);
/* y^2 == (x^3 + ax + b) mod p
* Should be same as EC_POINT_is_on_curve(generator),
* but, let's calculate it manually. */
BIGNUM *yy = BN_new();
BIGNUM *r = BN_new();
BIGNUM *xxx = BN_new();
BIGNUM *ax = BN_new();
T(yy && r && xxx && ax);
BN_set_word(r, 2);
BN_mod_exp(yy, y, r, p, ctx);
BN_set_word(r, 3);
BN_mod_exp(xxx, x, r, p, ctx);
BN_mod_mul(ax, a, x, p, ctx);
BN_mod_add(xxx, xxx, ax, p, ctx);
BN_mod_add(xxx, xxx, b, p, ctx);
T(BN_cmp(yy, xxx) == 0);
BN_free(yy);
BN_free(r);
BN_free(xxx);
BN_free(ax);
BN_free(p);
BN_free(a);
BN_free(b);
BN_free(x);
BN_free(y);
/* Check order */
const BIGNUM *order;
T(order = EC_GROUP_get0_order(group));
T(!BN_is_zero(order));
print_bn("q", order);
T(BN_is_odd(order));
EC_POINT *point;
T((point = EC_POINT_new(group)));
T(EC_POINT_mul(group, point, NULL, generator, order, ctx));
/* generator * order is the point at infinity? */
T(EC_POINT_is_at_infinity(group, point) == 1);
EC_POINT_free(point);
/* Check if order is cyclic */
BIGNUM *k1 = BN_new();
BIGNUM *k2 = BN_new();
EC_POINT *p1 = EC_POINT_new(group);
EC_POINT *p2 = EC_POINT_new(group);
BN_set_word(k1, 3);
BN_set_word(k2, 3);
BN_add(k2, k2, order);
T(EC_POINT_mul(group, p1, NULL, generator, k1, ctx));
T(EC_POINT_mul(group, p2, NULL, generator, k2, ctx));
T(EC_POINT_cmp(group, p1, p2, ctx) == 0);
BN_free(k1);
BN_free(k2);
EC_POINT_free(p1);
EC_POINT_free(p2);
/* Cofactor is 1 or 4 */
const BIGNUM *c;
T(c = EC_GROUP_get0_cofactor(group));
T(BN_is_word(c, 1) || BN_is_word(c, 4));
BN_CTX_free(ctx);
EC_KEY_free(ec);
TEST_ASSERT(0);
return test;
}
int main(int argc, char **argv)
{
int ret = 0;
struct test_curve *tc;
for (tc = test_curves; tc->nid; tc++) {
ret |= parameter_test(tc);
}
if (ret)
printf(cDRED "= Some tests FAILED!" cNORM "\n");
else
printf(cDGREEN "= All tests passed!" cNORM "\n");
return ret;
}
|
