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35b73a1f | 1 | /* |
b0edda11 | 2 | * Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved. |
aa8f3d76 | 3 | * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved |
62763f68 | 4 | * |
909f1a2e | 5 | * Licensed under the Apache License 2.0 (the "License"). You may not use |
440e5d80 RS |
6 | * this file except in compliance with the License. You can obtain a copy |
7 | * in the file LICENSE in the source distribution or at | |
8 | * https://www.openssl.org/source/license.html | |
62763f68 | 9 | */ |
440e5d80 | 10 | |
8402cd5f | 11 | #include <string.h> |
176db6dc | 12 | #include "internal/nelem.h" |
2db85ac9 | 13 | #include "testutil.h" |
2f0ca54c | 14 | |
2db85ac9 | 15 | #ifndef OPENSSL_NO_EC |
0f113f3e MC |
16 | # include <openssl/ec.h> |
17 | # ifndef OPENSSL_NO_ENGINE | |
18 | # include <openssl/engine.h> | |
19 | # endif | |
20 | # include <openssl/err.h> | |
21 | # include <openssl/obj_mac.h> | |
22 | # include <openssl/objects.h> | |
23 | # include <openssl/rand.h> | |
24 | # include <openssl/bn.h> | |
25 | # include <openssl/opensslconf.h> | |
26 | ||
2db85ac9 P |
27 | static size_t crv_len = 0; |
28 | static EC_builtin_curve *curves = NULL; | |
652ae06b | 29 | |
04daec86 | 30 | /* test multiplication with group order, long and negative scalars */ |
2db85ac9 | 31 | static int group_order_tests(EC_GROUP *group) |
0f113f3e | 32 | { |
2db85ac9 P |
33 | BIGNUM *n1 = NULL, *n2 = NULL, *order = NULL; |
34 | EC_POINT *P = NULL, *Q = NULL, *R = NULL, *S = NULL; | |
66b0bca8 | 35 | const EC_POINT *G = NULL; |
2db85ac9 P |
36 | BN_CTX *ctx = NULL; |
37 | int i = 0, r = 0; | |
38 | ||
39 | if (!TEST_ptr(n1 = BN_new()) | |
40 | || !TEST_ptr(n2 = BN_new()) | |
41 | || !TEST_ptr(order = BN_new()) | |
42 | || !TEST_ptr(ctx = BN_CTX_new()) | |
66b0bca8 | 43 | || !TEST_ptr(G = EC_GROUP_get0_generator(group)) |
2db85ac9 P |
44 | || !TEST_ptr(P = EC_POINT_new(group)) |
45 | || !TEST_ptr(Q = EC_POINT_new(group)) | |
46 | || !TEST_ptr(R = EC_POINT_new(group)) | |
47 | || !TEST_ptr(S = EC_POINT_new(group))) | |
48 | goto err; | |
49 | ||
50 | if (!TEST_true(EC_GROUP_get_order(group, order, ctx)) | |
51 | || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) | |
52 | || !TEST_true(EC_POINT_is_at_infinity(group, Q)) | |
53 | || !TEST_true(EC_GROUP_precompute_mult(group, ctx)) | |
54 | || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) | |
66b0bca8 BB |
55 | || !TEST_true(EC_POINT_is_at_infinity(group, Q)) |
56 | || !TEST_true(EC_POINT_copy(P, G)) | |
57 | || !TEST_true(BN_one(n1)) | |
58 | || !TEST_true(EC_POINT_mul(group, Q, n1, NULL, NULL, ctx)) | |
59 | || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)) | |
60 | || !TEST_true(BN_sub(n1, order, n1)) | |
61 | || !TEST_true(EC_POINT_mul(group, Q, n1, NULL, NULL, ctx)) | |
62 | || !TEST_true(EC_POINT_invert(group, Q, ctx)) | |
63 | || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))) | |
2db85ac9 P |
64 | goto err; |
65 | ||
0f113f3e MC |
66 | for (i = 1; i <= 2; i++) { |
67 | const BIGNUM *scalars[6]; | |
68 | const EC_POINT *points[6]; | |
69 | ||
2db85ac9 P |
70 | if (!TEST_true(BN_set_word(n1, i)) |
71 | /* | |
72 | * If i == 1, P will be the predefined generator for which | |
73 | * EC_GROUP_precompute_mult has set up precomputation. | |
74 | */ | |
75 | || !TEST_true(EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) | |
66b0bca8 | 76 | || (i == 1 && !TEST_int_eq(0, EC_POINT_cmp(group, P, G, ctx))) |
2db85ac9 P |
77 | || !TEST_true(BN_one(n1)) |
78 | /* n1 = 1 - order */ | |
79 | || !TEST_true(BN_sub(n1, n1, order)) | |
80 | || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n1, ctx)) | |
81 | || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)) | |
82 | ||
83 | /* n2 = 1 + order */ | |
84 | || !TEST_true(BN_add(n2, order, BN_value_one())) | |
85 | || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
86 | || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)) | |
87 | ||
88 | /* n2 = (1 - order) * (1 + order) = 1 - order^2 */ | |
89 | || !TEST_true(BN_mul(n2, n1, n2, ctx)) | |
90 | || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
91 | || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))) | |
92 | goto err; | |
0f113f3e MC |
93 | |
94 | /* n2 = order^2 - 1 */ | |
95 | BN_set_negative(n2, 0); | |
2db85ac9 P |
96 | if (!TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx)) |
97 | /* Add P to verify the result. */ | |
98 | || !TEST_true(EC_POINT_add(group, Q, Q, P, ctx)) | |
99 | || !TEST_true(EC_POINT_is_at_infinity(group, Q)) | |
100 | ||
101 | /* Exercise EC_POINTs_mul, including corner cases. */ | |
102 | || !TEST_false(EC_POINT_is_at_infinity(group, P))) | |
103 | goto err; | |
50e34aab AP |
104 | |
105 | scalars[0] = scalars[1] = BN_value_one(); | |
106 | points[0] = points[1] = P; | |
107 | ||
2db85ac9 P |
108 | if (!TEST_true(EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx)) |
109 | || !TEST_true(EC_POINT_dbl(group, S, points[0], ctx)) | |
110 | || !TEST_int_eq(0, EC_POINT_cmp(group, R, S, ctx))) | |
111 | goto err; | |
50e34aab | 112 | |
0f113f3e MC |
113 | scalars[0] = n1; |
114 | points[0] = Q; /* => infinity */ | |
115 | scalars[1] = n2; | |
116 | points[1] = P; /* => -P */ | |
117 | scalars[2] = n1; | |
118 | points[2] = Q; /* => infinity */ | |
119 | scalars[3] = n2; | |
120 | points[3] = Q; /* => infinity */ | |
121 | scalars[4] = n1; | |
122 | points[4] = P; /* => P */ | |
123 | scalars[5] = n2; | |
124 | points[5] = Q; /* => infinity */ | |
2db85ac9 P |
125 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) |
126 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
127 | goto err; | |
0f113f3e | 128 | } |
0f113f3e | 129 | |
2db85ac9 P |
130 | r = 1; |
131 | err: | |
132 | if (r == 0 && i != 0) | |
133 | TEST_info(i == 1 ? "allowing precomputation" : | |
134 | "without precomputation"); | |
0f113f3e MC |
135 | EC_POINT_free(P); |
136 | EC_POINT_free(Q); | |
50e34aab AP |
137 | EC_POINT_free(R); |
138 | EC_POINT_free(S); | |
0f113f3e MC |
139 | BN_free(n1); |
140 | BN_free(n2); | |
141 | BN_free(order); | |
142 | BN_CTX_free(ctx); | |
2db85ac9 | 143 | return r; |
0f113f3e | 144 | } |
04daec86 | 145 | |
2db85ac9 | 146 | static int prime_field_tests(void) |
0f113f3e MC |
147 | { |
148 | BN_CTX *ctx = NULL; | |
2db85ac9 P |
149 | BIGNUM *p = NULL, *a = NULL, *b = NULL, *scalar3 = NULL; |
150 | EC_GROUP *group = NULL, *tmp = NULL; | |
151 | EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, | |
152 | *P_256 = NULL, *P_384 = NULL, *P_521 = NULL; | |
153 | EC_POINT *P = NULL, *Q = NULL, *R = NULL; | |
154 | BIGNUM *x = NULL, *y = NULL, *z = NULL, *yplusone = NULL; | |
155 | const EC_POINT *points[4]; | |
156 | const BIGNUM *scalars[4]; | |
0f113f3e | 157 | unsigned char buf[100]; |
37916462 | 158 | size_t len, r = 0; |
0f113f3e MC |
159 | int k; |
160 | ||
2db85ac9 P |
161 | if (!TEST_ptr(ctx = BN_CTX_new()) |
162 | || !TEST_ptr(p = BN_new()) | |
163 | || !TEST_ptr(a = BN_new()) | |
164 | || !TEST_ptr(b = BN_new()) | |
165 | || !TEST_true(BN_hex2bn(&p, "17")) | |
166 | || !TEST_true(BN_hex2bn(&a, "1")) | |
167 | || !TEST_true(BN_hex2bn(&b, "1")) | |
168 | /* | |
169 | * applications should use EC_GROUP_new_curve_GFp so | |
170 | * that the library gets to choose the EC_METHOD | |
171 | */ | |
172 | || !TEST_ptr(group = EC_GROUP_new(EC_GFp_mont_method())) | |
9cc570d4 | 173 | || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
2db85ac9 P |
174 | || !TEST_ptr(tmp = EC_GROUP_new(EC_GROUP_method_of(group))) |
175 | || !TEST_true(EC_GROUP_copy(tmp, group))) | |
176 | goto err; | |
177 | EC_GROUP_free(group); | |
178 | group = tmp; | |
179 | tmp = NULL; | |
180 | ||
9cc570d4 | 181 | if (!TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx))) |
2db85ac9 P |
182 | goto err; |
183 | ||
37916462 P |
184 | TEST_info("Curve defined by Weierstrass equation"); |
185 | TEST_note(" y^2 = x^3 + a*x + b (mod p)"); | |
186 | test_output_bignum("a", a); | |
187 | test_output_bignum("b", b); | |
188 | test_output_bignum("p", p); | |
0f113f3e MC |
189 | |
190 | buf[0] = 0; | |
2db85ac9 P |
191 | if (!TEST_ptr(P = EC_POINT_new(group)) |
192 | || !TEST_ptr(Q = EC_POINT_new(group)) | |
193 | || !TEST_ptr(R = EC_POINT_new(group)) | |
194 | || !TEST_true(EC_POINT_set_to_infinity(group, P)) | |
195 | || !TEST_true(EC_POINT_is_at_infinity(group, P)) | |
196 | || !TEST_true(EC_POINT_oct2point(group, Q, buf, 1, ctx)) | |
197 | || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)) | |
198 | || !TEST_true(EC_POINT_is_at_infinity(group, P)) | |
199 | || !TEST_ptr(x = BN_new()) | |
200 | || !TEST_ptr(y = BN_new()) | |
201 | || !TEST_ptr(z = BN_new()) | |
202 | || !TEST_ptr(yplusone = BN_new()) | |
203 | || !TEST_true(BN_hex2bn(&x, "D")) | |
9cc570d4 | 204 | || !TEST_true(EC_POINT_set_compressed_coordinates(group, Q, x, 1, ctx))) |
2db85ac9 P |
205 | goto err; |
206 | ||
207 | if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) { | |
9cc570d4 | 208 | if (!TEST_true(EC_POINT_get_affine_coordinates(group, Q, x, y, ctx))) |
2db85ac9 | 209 | goto err; |
37916462 P |
210 | TEST_info("Point is not on curve"); |
211 | test_output_bignum("x", x); | |
212 | test_output_bignum("y", y); | |
2db85ac9 | 213 | goto err; |
0f113f3e MC |
214 | } |
215 | ||
37916462 | 216 | TEST_note("A cyclic subgroup:"); |
0f113f3e MC |
217 | k = 100; |
218 | do { | |
2db85ac9 P |
219 | if (!TEST_int_ne(k--, 0)) |
220 | goto err; | |
221 | ||
222 | if (EC_POINT_is_at_infinity(group, P)) { | |
37916462 | 223 | TEST_note(" point at infinity"); |
2db85ac9 | 224 | } else { |
9cc570d4 MC |
225 | if (!TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, |
226 | ctx))) | |
2db85ac9 P |
227 | goto err; |
228 | ||
37916462 P |
229 | test_output_bignum("x", x); |
230 | test_output_bignum("y", y); | |
0f113f3e MC |
231 | } |
232 | ||
2db85ac9 P |
233 | if (!TEST_true(EC_POINT_copy(R, P)) |
234 | || !TEST_true(EC_POINT_add(group, P, P, Q, ctx))) | |
235 | goto err; | |
0f113f3e | 236 | |
2db85ac9 | 237 | } while (!EC_POINT_is_at_infinity(group, P)); |
0f113f3e | 238 | |
2db85ac9 P |
239 | if (!TEST_true(EC_POINT_add(group, P, Q, R, ctx)) |
240 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
241 | goto err; | |
0f113f3e MC |
242 | |
243 | len = | |
244 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, | |
cbe29648 | 245 | sizeof(buf), ctx); |
2db85ac9 P |
246 | if (!TEST_size_t_ne(len, 0) |
247 | || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) | |
248 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) | |
249 | goto err; | |
37916462 P |
250 | test_output_memory("Generator as octet string, compressed form:", |
251 | buf, len); | |
2db85ac9 P |
252 | |
253 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, | |
cbe29648 | 254 | buf, sizeof(buf), ctx); |
2db85ac9 P |
255 | if (!TEST_size_t_ne(len, 0) |
256 | || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) | |
257 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) | |
258 | goto err; | |
37916462 P |
259 | test_output_memory("Generator as octet string, uncompressed form:", |
260 | buf, len); | |
2db85ac9 P |
261 | |
262 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, | |
cbe29648 | 263 | buf, sizeof(buf), ctx); |
2db85ac9 P |
264 | if (!TEST_size_t_ne(len, 0) |
265 | || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) | |
266 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) | |
267 | goto err; | |
37916462 P |
268 | test_output_memory("Generator as octet string, hybrid form:", |
269 | buf, len); | |
2db85ac9 P |
270 | |
271 | if (!TEST_true(EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, | |
272 | ctx))) | |
273 | goto err; | |
37916462 P |
274 | TEST_info("A representation of the inverse of that generator in"); |
275 | TEST_note("Jacobian projective coordinates"); | |
276 | test_output_bignum("x", x); | |
277 | test_output_bignum("y", y); | |
278 | test_output_bignum("z", z); | |
2db85ac9 P |
279 | |
280 | if (!TEST_true(EC_POINT_invert(group, P, ctx)) | |
281 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx)) | |
0f113f3e MC |
282 | |
283 | /* | |
284 | * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, | |
285 | * 2000) -- not a NIST curve, but commonly used | |
286 | */ | |
287 | ||
2db85ac9 P |
288 | || !TEST_true(BN_hex2bn(&p, "FFFFFFFF" |
289 | "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) | |
290 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
291 | || !TEST_true(BN_hex2bn(&a, "FFFFFFFF" | |
292 | "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) | |
293 | || !TEST_true(BN_hex2bn(&b, "1C97BEFC" | |
294 | "54BD7A8B65ACF89F81D4D4ADC565FA45")) | |
9cc570d4 | 295 | || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
2db85ac9 P |
296 | || !TEST_true(BN_hex2bn(&x, "4A96B568" |
297 | "8EF573284664698968C38BB913CBFC82")) | |
298 | || !TEST_true(BN_hex2bn(&y, "23a62855" | |
299 | "3168947d59dcc912042351377ac5fb32")) | |
300 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) | |
1e2012b7 EK |
301 | /* |
302 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
303 | * and therefore setting the coordinates should fail. | |
304 | */ | |
9cc570d4 MC |
305 | || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, |
306 | ctx)) | |
307 | || !TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx)) | |
2db85ac9 P |
308 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
309 | || !TEST_true(BN_hex2bn(&z, "0100000000" | |
310 | "000000000001F4C8F927AED3CA752257")) | |
311 | || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
9cc570d4 | 312 | || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) |
2db85ac9 | 313 | goto err; |
37916462 P |
314 | TEST_info("SEC2 curve secp160r1 -- Generator"); |
315 | test_output_bignum("x", x); | |
316 | test_output_bignum("y", y); | |
0f113f3e | 317 | /* G_y value taken from the standard: */ |
2db85ac9 P |
318 | if (!TEST_true(BN_hex2bn(&z, "23a62855" |
319 | "3168947d59dcc912042351377ac5fb32")) | |
dc352c19 | 320 | || !TEST_BN_eq(y, z) |
2db85ac9 P |
321 | || !TEST_int_eq(EC_GROUP_get_degree(group), 160) |
322 | || !group_order_tests(group) | |
323 | || !TEST_ptr(P_160 = EC_GROUP_new(EC_GROUP_method_of(group))) | |
324 | || !TEST_true(EC_GROUP_copy(P_160, group)) | |
0f113f3e MC |
325 | |
326 | /* Curve P-192 (FIPS PUB 186-2, App. 6) */ | |
327 | ||
2db85ac9 P |
328 | || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFF" |
329 | "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) | |
330 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
331 | || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFF" | |
332 | "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) | |
333 | || !TEST_true(BN_hex2bn(&b, "64210519E59C80E7" | |
334 | "0FA7E9AB72243049FEB8DEECC146B9B1")) | |
9cc570d4 | 335 | || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
2db85ac9 P |
336 | || !TEST_true(BN_hex2bn(&x, "188DA80EB03090F6" |
337 | "7CBF20EB43A18800F4FF0AFD82FF1012")) | |
9cc570d4 | 338 | || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx)) |
2db85ac9 P |
339 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
340 | || !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFF" | |
341 | "FFFFFFFF99DEF836146BC9B1B4D22831")) | |
342 | || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
9cc570d4 | 343 | || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) |
2db85ac9 P |
344 | goto err; |
345 | ||
37916462 P |
346 | TEST_info("NIST curve P-192 -- Generator"); |
347 | test_output_bignum("x", x); | |
348 | test_output_bignum("y", y); | |
0f113f3e | 349 | /* G_y value taken from the standard: */ |
2db85ac9 P |
350 | if (!TEST_true(BN_hex2bn(&z, "07192B95FFC8DA78" |
351 | "631011ED6B24CDD573F977A11E794811")) | |
dc352c19 | 352 | || !TEST_BN_eq(y, z) |
2db85ac9 | 353 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) |
1e2012b7 EK |
354 | /* |
355 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
356 | * and therefore setting the coordinates should fail. | |
357 | */ | |
9cc570d4 MC |
358 | || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, |
359 | ctx)) | |
2db85ac9 P |
360 | || !TEST_int_eq(EC_GROUP_get_degree(group), 192) |
361 | || !group_order_tests(group) | |
362 | || !TEST_ptr(P_192 = EC_GROUP_new(EC_GROUP_method_of(group))) | |
363 | || !TEST_true(EC_GROUP_copy(P_192, group)) | |
0f113f3e MC |
364 | |
365 | /* Curve P-224 (FIPS PUB 186-2, App. 6) */ | |
366 | ||
2db85ac9 P |
367 | || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFF" |
368 | "FFFFFFFF000000000000000000000001")) | |
369 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
370 | || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFF" | |
371 | "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) | |
372 | || !TEST_true(BN_hex2bn(&b, "B4050A850C04B3ABF5413256" | |
373 | "5044B0B7D7BFD8BA270B39432355FFB4")) | |
9cc570d4 | 374 | || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
2db85ac9 P |
375 | || !TEST_true(BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B9" |
376 | "4A03C1D356C21122343280D6115C1D21")) | |
9cc570d4 | 377 | || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 0, ctx)) |
2db85ac9 P |
378 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
379 | || !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF" | |
380 | "FFFF16A2E0B8F03E13DD29455C5C2A3D")) | |
381 | || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
9cc570d4 | 382 | || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) |
2db85ac9 P |
383 | goto err; |
384 | ||
37916462 P |
385 | TEST_info("NIST curve P-224 -- Generator"); |
386 | test_output_bignum("x", x); | |
387 | test_output_bignum("y", y); | |
0f113f3e | 388 | /* G_y value taken from the standard: */ |
2db85ac9 P |
389 | if (!TEST_true(BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6" |
390 | "CD4375A05A07476444D5819985007E34")) | |
dc352c19 | 391 | || !TEST_BN_eq(y, z) |
2db85ac9 | 392 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) |
1e2012b7 EK |
393 | /* |
394 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
395 | * and therefore setting the coordinates should fail. | |
396 | */ | |
9cc570d4 MC |
397 | || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, |
398 | ctx)) | |
2db85ac9 P |
399 | || !TEST_int_eq(EC_GROUP_get_degree(group), 224) |
400 | || !group_order_tests(group) | |
401 | || !TEST_ptr(P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) | |
402 | || !TEST_true(EC_GROUP_copy(P_224, group)) | |
0f113f3e MC |
403 | |
404 | /* Curve P-256 (FIPS PUB 186-2, App. 6) */ | |
405 | ||
2db85ac9 P |
406 | || !TEST_true(BN_hex2bn(&p, "FFFFFFFF000000010000000000000000" |
407 | "00000000FFFFFFFFFFFFFFFFFFFFFFFF")) | |
408 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
409 | || !TEST_true(BN_hex2bn(&a, "FFFFFFFF000000010000000000000000" | |
410 | "00000000FFFFFFFFFFFFFFFFFFFFFFFC")) | |
411 | || !TEST_true(BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC" | |
412 | "651D06B0CC53B0F63BCE3C3E27D2604B")) | |
9cc570d4 | 413 | || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
2db85ac9 P |
414 | |
415 | || !TEST_true(BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F2" | |
416 | "77037D812DEB33A0F4A13945D898C296")) | |
9cc570d4 | 417 | || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx)) |
2db85ac9 P |
418 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
419 | || !TEST_true(BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFF" | |
420 | "BCE6FAADA7179E84F3B9CAC2FC632551")) | |
421 | || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
9cc570d4 | 422 | || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) |
2db85ac9 P |
423 | goto err; |
424 | ||
37916462 P |
425 | TEST_info("NIST curve P-256 -- Generator"); |
426 | test_output_bignum("x", x); | |
427 | test_output_bignum("y", y); | |
0f113f3e | 428 | /* G_y value taken from the standard: */ |
2db85ac9 P |
429 | if (!TEST_true(BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E16" |
430 | "2BCE33576B315ECECBB6406837BF51F5")) | |
dc352c19 | 431 | || !TEST_BN_eq(y, z) |
2db85ac9 | 432 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) |
1e2012b7 EK |
433 | /* |
434 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
435 | * and therefore setting the coordinates should fail. | |
436 | */ | |
9cc570d4 MC |
437 | || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, |
438 | ctx)) | |
2db85ac9 P |
439 | || !TEST_int_eq(EC_GROUP_get_degree(group), 256) |
440 | || !group_order_tests(group) | |
441 | || !TEST_ptr(P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) | |
442 | || !TEST_true(EC_GROUP_copy(P_256, group)) | |
0f113f3e MC |
443 | |
444 | /* Curve P-384 (FIPS PUB 186-2, App. 6) */ | |
445 | ||
2db85ac9 P |
446 | || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
447 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE" | |
448 | "FFFFFFFF0000000000000000FFFFFFFF")) | |
449 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
450 | || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
451 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE" | |
452 | "FFFFFFFF0000000000000000FFFFFFFC")) | |
453 | || !TEST_true(BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19" | |
454 | "181D9C6EFE8141120314088F5013875A" | |
455 | "C656398D8A2ED19D2A85C8EDD3EC2AEF")) | |
9cc570d4 | 456 | || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
2db85ac9 P |
457 | |
458 | || !TEST_true(BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD74" | |
459 | "6E1D3B628BA79B9859F741E082542A38" | |
460 | "5502F25DBF55296C3A545E3872760AB7")) | |
9cc570d4 | 461 | || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx)) |
2db85ac9 P |
462 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
463 | || !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
464 | "FFFFFFFFFFFFFFFFC7634D81F4372DDF" | |
465 | "581A0DB248B0A77AECEC196ACCC52973")) | |
466 | || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
9cc570d4 | 467 | || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) |
2db85ac9 P |
468 | goto err; |
469 | ||
37916462 P |
470 | TEST_info("NIST curve P-384 -- Generator"); |
471 | test_output_bignum("x", x); | |
472 | test_output_bignum("y", y); | |
0f113f3e | 473 | /* G_y value taken from the standard: */ |
2db85ac9 P |
474 | if (!TEST_true(BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29" |
475 | "F8F41DBD289A147CE9DA3113B5F0B8C0" | |
476 | "0A60B1CE1D7E819D7A431D7C90EA0E5F")) | |
dc352c19 | 477 | || !TEST_BN_eq(y, z) |
2db85ac9 | 478 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) |
1e2012b7 EK |
479 | /* |
480 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
481 | * and therefore setting the coordinates should fail. | |
482 | */ | |
9cc570d4 MC |
483 | || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, |
484 | ctx)) | |
2db85ac9 P |
485 | || !TEST_int_eq(EC_GROUP_get_degree(group), 384) |
486 | || !group_order_tests(group) | |
487 | || !TEST_ptr(P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) | |
488 | || !TEST_true(EC_GROUP_copy(P_384, group)) | |
0f113f3e MC |
489 | |
490 | /* Curve P-521 (FIPS PUB 186-2, App. 6) */ | |
2db85ac9 P |
491 | || !TEST_true(BN_hex2bn(&p, "1FF" |
492 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
493 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
494 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
495 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF")) | |
496 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
497 | || !TEST_true(BN_hex2bn(&a, "1FF" | |
498 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
499 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
500 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
501 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC")) | |
502 | || !TEST_true(BN_hex2bn(&b, "051" | |
503 | "953EB9618E1C9A1F929A21A0B68540EE" | |
504 | "A2DA725B99B315F3B8B489918EF109E1" | |
505 | "56193951EC7E937B1652C0BD3BB1BF07" | |
506 | "3573DF883D2C34F1EF451FD46B503F00")) | |
9cc570d4 | 507 | || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
2db85ac9 P |
508 | || !TEST_true(BN_hex2bn(&x, "C6" |
509 | "858E06B70404E9CD9E3ECB662395B442" | |
510 | "9C648139053FB521F828AF606B4D3DBA" | |
511 | "A14B5E77EFE75928FE1DC127A2FFA8DE" | |
512 | "3348B3C1856A429BF97E7E31C2E5BD66")) | |
9cc570d4 | 513 | || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 0, ctx)) |
2db85ac9 P |
514 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
515 | || !TEST_true(BN_hex2bn(&z, "1FF" | |
516 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
517 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA" | |
518 | "51868783BF2F966B7FCC0148F709A5D0" | |
519 | "3BB5C9B8899C47AEBB6FB71E91386409")) | |
520 | || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
9cc570d4 | 521 | || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) |
2db85ac9 P |
522 | goto err; |
523 | ||
37916462 P |
524 | TEST_info("NIST curve P-521 -- Generator"); |
525 | test_output_bignum("x", x); | |
526 | test_output_bignum("y", y); | |
0f113f3e | 527 | /* G_y value taken from the standard: */ |
2db85ac9 P |
528 | if (!TEST_true(BN_hex2bn(&z, "118" |
529 | "39296A789A3BC0045C8A5FB42C7D1BD9" | |
530 | "98F54449579B446817AFBD17273E662C" | |
531 | "97EE72995EF42640C550B9013FAD0761" | |
532 | "353C7086A272C24088BE94769FD16650")) | |
dc352c19 | 533 | || !TEST_BN_eq(y, z) |
2db85ac9 | 534 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) |
1e2012b7 EK |
535 | /* |
536 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
537 | * and therefore setting the coordinates should fail. | |
538 | */ | |
9cc570d4 MC |
539 | || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, |
540 | ctx)) | |
2db85ac9 P |
541 | || !TEST_int_eq(EC_GROUP_get_degree(group), 521) |
542 | || !group_order_tests(group) | |
543 | || !TEST_ptr(P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) | |
544 | || !TEST_true(EC_GROUP_copy(P_521, group)) | |
0f113f3e MC |
545 | |
546 | /* more tests using the last curve */ | |
547 | ||
1e2012b7 | 548 | /* Restore the point that got mangled in the (x, y + 1) test. */ |
9cc570d4 | 549 | || !TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx)) |
2db85ac9 P |
550 | || !TEST_true(EC_POINT_copy(Q, P)) |
551 | || !TEST_false(EC_POINT_is_at_infinity(group, Q)) | |
552 | || !TEST_true(EC_POINT_dbl(group, P, P, ctx)) | |
553 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) | |
554 | || !TEST_true(EC_POINT_invert(group, Q, ctx)) /* P = -2Q */ | |
555 | || !TEST_true(EC_POINT_add(group, R, P, Q, ctx)) | |
556 | || !TEST_true(EC_POINT_add(group, R, R, Q, ctx)) | |
557 | || !TEST_true(EC_POINT_is_at_infinity(group, R)) /* R = P + 2Q */ | |
558 | || !TEST_false(EC_POINT_is_at_infinity(group, Q))) | |
559 | goto err; | |
560 | points[0] = Q; | |
561 | points[1] = Q; | |
562 | points[2] = Q; | |
563 | points[3] = Q; | |
564 | ||
565 | if (!TEST_true(EC_GROUP_get_order(group, z, ctx)) | |
566 | || !TEST_true(BN_add(y, z, BN_value_one())) | |
dc352c19 | 567 | || !TEST_BN_even(y) |
2db85ac9 P |
568 | || !TEST_true(BN_rshift1(y, y))) |
569 | goto err; | |
570 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
571 | scalars[1] = y; | |
572 | ||
37916462 | 573 | TEST_note("combined multiplication ..."); |
2db85ac9 P |
574 | |
575 | /* z is still the group order */ | |
576 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
577 | || !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) | |
578 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx)) | |
579 | || !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx)) | |
5ecff87d | 580 | || !TEST_true(BN_rand(y, BN_num_bits(y), 0, 0)) |
2db85ac9 P |
581 | || !TEST_true(BN_add(z, z, y))) |
582 | goto err; | |
583 | BN_set_negative(z, 1); | |
584 | scalars[0] = y; | |
585 | scalars[1] = z; /* z = -(order + y) */ | |
586 | ||
587 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
588 | || !TEST_true(EC_POINT_is_at_infinity(group, P)) | |
5ecff87d | 589 | || !TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0)) |
2db85ac9 P |
590 | || !TEST_true(BN_add(z, x, y))) |
591 | goto err; | |
592 | BN_set_negative(z, 1); | |
593 | scalars[0] = x; | |
594 | scalars[1] = y; | |
595 | scalars[2] = z; /* z = -(x+y) */ | |
596 | ||
597 | if (!TEST_ptr(scalar3 = BN_new())) | |
598 | goto err; | |
599 | BN_zero(scalar3); | |
600 | scalars[3] = scalar3; | |
601 | ||
602 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) | |
603 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
604 | goto err; | |
605 | ||
37916462 | 606 | TEST_note(" ok\n"); |
2db85ac9 P |
607 | |
608 | ||
609 | r = 1; | |
610 | err: | |
611 | BN_CTX_free(ctx); | |
612 | BN_free(p); | |
613 | BN_free(a); | |
614 | BN_free(b); | |
615 | EC_GROUP_free(group); | |
616 | EC_GROUP_free(tmp); | |
617 | EC_POINT_free(P); | |
618 | EC_POINT_free(Q); | |
619 | EC_POINT_free(R); | |
620 | BN_free(x); | |
621 | BN_free(y); | |
622 | BN_free(z); | |
623 | BN_free(yplusone); | |
624 | BN_free(scalar3); | |
625 | ||
626 | EC_GROUP_free(P_160); | |
627 | EC_GROUP_free(P_192); | |
628 | EC_GROUP_free(P_224); | |
629 | EC_GROUP_free(P_256); | |
630 | EC_GROUP_free(P_384); | |
631 | EC_GROUP_free(P_521); | |
632 | return r; | |
633 | } | |
634 | ||
635 | # ifndef OPENSSL_NO_EC2M | |
0f113f3e | 636 | |
2db85ac9 P |
637 | static struct c2_curve_test { |
638 | const char *name; | |
639 | const char *p; | |
640 | const char *a; | |
641 | const char *b; | |
642 | const char *x; | |
643 | const char *y; | |
644 | int ybit; | |
645 | const char *order; | |
646 | const char *cof; | |
647 | int degree; | |
648 | } char2_curve_tests[] = { | |
649 | /* Curve K-163 (FIPS PUB 186-2, App. 6) */ | |
650 | { | |
651 | "NIST curve K-163", | |
652 | "0800000000000000000000000000000000000000C9", | |
653 | "1", | |
654 | "1", | |
655 | "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", | |
656 | "0289070FB05D38FF58321F2E800536D538CCDAA3D9", | |
657 | 1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163 | |
658 | }, | |
659 | /* Curve B-163 (FIPS PUB 186-2, App. 6) */ | |
660 | { | |
661 | "NIST curve B-163", | |
662 | "0800000000000000000000000000000000000000C9", | |
663 | "1", | |
664 | "020A601907B8C953CA1481EB10512F78744A3205FD", | |
665 | "03F0EBA16286A2D57EA0991168D4994637E8343E36", | |
666 | "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", | |
667 | 1, "040000000000000000000292FE77E70C12A4234C33", "2", 163 | |
668 | }, | |
669 | /* Curve K-233 (FIPS PUB 186-2, App. 6) */ | |
670 | { | |
671 | "NIST curve K-233", | |
672 | "020000000000000000000000000000000000000004000000000000000001", | |
673 | "0", | |
674 | "1", | |
675 | "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", | |
676 | "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", | |
677 | 0, | |
678 | "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", | |
679 | "4", 233 | |
680 | }, | |
681 | /* Curve B-233 (FIPS PUB 186-2, App. 6) */ | |
682 | { | |
683 | "NIST curve B-233", | |
684 | "020000000000000000000000000000000000000004000000000000000001", | |
685 | "000000000000000000000000000000000000000000000000000000000001", | |
686 | "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", | |
687 | "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", | |
688 | "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", | |
689 | 1, | |
690 | "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", | |
691 | "2", 233 | |
692 | }, | |
693 | /* Curve K-283 (FIPS PUB 186-2, App. 6) */ | |
694 | { | |
695 | "NIST curve K-283", | |
696 | "08000000" | |
697 | "00000000000000000000000000000000000000000000000000000000000010A1", | |
698 | "0", | |
699 | "1", | |
700 | "0503213F" | |
701 | "78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", | |
702 | "01CCDA38" | |
703 | "0F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", | |
704 | 0, | |
705 | "01FFFFFF" | |
706 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", | |
707 | "4", 283 | |
708 | }, | |
709 | /* Curve B-283 (FIPS PUB 186-2, App. 6) */ | |
710 | { | |
711 | "NIST curve B-283", | |
712 | "08000000" | |
713 | "00000000000000000000000000000000000000000000000000000000000010A1", | |
714 | "00000000" | |
715 | "0000000000000000000000000000000000000000000000000000000000000001", | |
716 | "027B680A" | |
717 | "C8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", | |
718 | "05F93925" | |
719 | "8DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", | |
720 | "03676854" | |
721 | "FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", | |
722 | 1, | |
723 | "03FFFFFF" | |
724 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", | |
725 | "2", 283 | |
726 | }, | |
727 | /* Curve K-409 (FIPS PUB 186-2, App. 6) */ | |
728 | { | |
729 | "NIST curve K-409", | |
730 | "0200000000000000000000000000000000000000" | |
731 | "0000000000000000000000000000000000000000008000000000000000000001", | |
732 | "0", | |
733 | "1", | |
734 | "0060F05F658F49C1AD3AB1890F7184210EFD0987" | |
735 | "E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", | |
736 | "01E369050B7C4E42ACBA1DACBF04299C3460782F" | |
737 | "918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", | |
738 | 1, | |
739 | "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
740 | "FFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", | |
741 | "4", 409 | |
742 | }, | |
743 | /* Curve B-409 (FIPS PUB 186-2, App. 6) */ | |
744 | { | |
745 | "NIST curve B-409", | |
746 | "0200000000000000000000000000000000000000" | |
747 | "0000000000000000000000000000000000000000008000000000000000000001", | |
748 | "0000000000000000000000000000000000000000" | |
749 | "0000000000000000000000000000000000000000000000000000000000000001", | |
750 | "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422E" | |
751 | "F1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", | |
752 | "015D4860D088DDB3496B0C6064756260441CDE4A" | |
753 | "F1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", | |
754 | "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5" | |
755 | "A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", | |
756 | 1, | |
757 | "0100000000000000000000000000000000000000" | |
758 | "00000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", | |
759 | "2", 409 | |
760 | }, | |
761 | /* Curve K-571 (FIPS PUB 186-2, App. 6) */ | |
762 | { | |
763 | "NIST curve K-571", | |
764 | "800000000000000" | |
765 | "0000000000000000000000000000000000000000000000000000000000000000" | |
766 | "0000000000000000000000000000000000000000000000000000000000000425", | |
767 | "0", | |
768 | "1", | |
769 | "026EB7A859923FBC" | |
770 | "82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E6" | |
771 | "47DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", | |
772 | "0349DC807F4FBF37" | |
773 | "4F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA7" | |
774 | "4FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", | |
775 | 0, | |
776 | "0200000000000000" | |
777 | "00000000000000000000000000000000000000000000000000000000131850E1" | |
778 | "F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", | |
779 | "4", 571 | |
780 | }, | |
781 | /* Curve B-571 (FIPS PUB 186-2, App. 6) */ | |
0f113f3e | 782 | { |
2db85ac9 P |
783 | "NIST curve B-571", |
784 | "800000000000000" | |
785 | "0000000000000000000000000000000000000000000000000000000000000000" | |
786 | "0000000000000000000000000000000000000000000000000000000000000425", | |
787 | "0000000000000000" | |
788 | "0000000000000000000000000000000000000000000000000000000000000000" | |
789 | "0000000000000000000000000000000000000000000000000000000000000001", | |
790 | "02F40E7E2221F295" | |
791 | "DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA5933" | |
792 | "2BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", | |
793 | "0303001D34B85629" | |
794 | "6C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293" | |
795 | "CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", | |
796 | "037BF27342DA639B" | |
797 | "6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A57" | |
798 | "6291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", | |
799 | 1, | |
800 | "03FFFFFFFFFFFFFF" | |
801 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18" | |
802 | "FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", | |
803 | "2", 571 | |
804 | } | |
805 | }; | |
806 | ||
807 | static int char2_curve_test(int n) | |
808 | { | |
809 | int r = 0; | |
810 | BN_CTX *ctx = NULL; | |
811 | BIGNUM *p = NULL, *a = NULL, *b = NULL; | |
812 | BIGNUM *x = NULL, *y = NULL, *z = NULL, *cof = NULL, *yplusone = NULL; | |
813 | EC_GROUP *group = NULL, *variable = NULL; | |
814 | EC_POINT *P = NULL, *Q = NULL, *R = NULL; | |
815 | const EC_POINT *points[3]; | |
816 | const BIGNUM *scalars[3]; | |
817 | struct c2_curve_test *const test = char2_curve_tests + n; | |
818 | ||
819 | if (!TEST_ptr(ctx = BN_CTX_new()) | |
820 | || !TEST_ptr(p = BN_new()) | |
821 | || !TEST_ptr(a = BN_new()) | |
822 | || !TEST_ptr(b = BN_new()) | |
823 | || !TEST_ptr(x = BN_new()) | |
824 | || !TEST_ptr(y = BN_new()) | |
825 | || !TEST_ptr(z = BN_new()) | |
826 | || !TEST_ptr(yplusone = BN_new()) | |
827 | || !TEST_true(BN_hex2bn(&p, test->p)) | |
828 | || !TEST_true(BN_hex2bn(&a, test->a)) | |
829 | || !TEST_true(BN_hex2bn(&b, test->b)) | |
830 | || !TEST_true(group = EC_GROUP_new(EC_GF2m_simple_method())) | |
9cc570d4 | 831 | || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
2db85ac9 P |
832 | || !TEST_ptr(P = EC_POINT_new(group)) |
833 | || !TEST_ptr(Q = EC_POINT_new(group)) | |
834 | || !TEST_ptr(R = EC_POINT_new(group)) | |
835 | || !TEST_true(BN_hex2bn(&x, test->x)) | |
836 | || !TEST_true(BN_hex2bn(&y, test->y)) | |
837 | || !TEST_true(BN_add(yplusone, y, BN_value_one()))) | |
838 | goto err; | |
839 | ||
840 | /* Change test based on whether binary point compression is enabled or not. */ | |
841 | # ifdef OPENSSL_EC_BIN_PT_COMP | |
842 | /* | |
843 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
844 | * and therefore setting the coordinates should fail. | |
845 | */ | |
9cc570d4 MC |
846 | if (!TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, ctx)) |
847 | || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, | |
848 | test->y_bit, | |
849 | ctx)) | |
2db85ac9 P |
850 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
851 | || !TEST_true(BN_hex2bn(&z, test->order)) | |
852 | || !TEST_true(BN_hex2bn(&cof, test->cof)) | |
853 | || !TEST_true(EC_GROUP_set_generator(group, P, z, cof)) | |
9cc570d4 | 854 | || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) |
2db85ac9 | 855 | goto err; |
37916462 P |
856 | TEST_info("%s -- Generator", test->name); |
857 | test_output_bignum("x", x); | |
858 | test_output_bignum("y", y); | |
2db85ac9 P |
859 | /* G_y value taken from the standard: */ |
860 | if (!TEST_true(BN_hex2bn(&z, test->y)) | |
dc352c19 | 861 | || !TEST_BN_eq(y, z)) |
2db85ac9 P |
862 | goto err; |
863 | # else | |
864 | /* | |
865 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
866 | * and therefore setting the coordinates should fail. | |
867 | */ | |
9cc570d4 MC |
868 | if (!TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, ctx)) |
869 | || !TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx)) | |
2db85ac9 P |
870 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
871 | || !TEST_true(BN_hex2bn(&z, test->order)) | |
872 | || !TEST_true(BN_hex2bn(&cof, test->cof)) | |
873 | || !TEST_true(EC_GROUP_set_generator(group, P, z, cof))) | |
874 | goto err; | |
37916462 P |
875 | TEST_info("%s -- Generator:", test->name); |
876 | test_output_bignum("x", x); | |
877 | test_output_bignum("y", y); | |
2db85ac9 P |
878 | # endif |
879 | ||
880 | if (!TEST_int_eq(EC_GROUP_get_degree(group), test->degree) | |
881 | || !group_order_tests(group) | |
882 | || !TEST_ptr(variable = EC_GROUP_new(EC_GROUP_method_of(group))) | |
883 | || !TEST_true(EC_GROUP_copy(variable, group))) | |
884 | goto err; | |
885 | ||
886 | /* more tests using the last curve */ | |
887 | if (n == OSSL_NELEM(char2_curve_tests) - 1) { | |
9cc570d4 | 888 | if (!TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx)) |
2db85ac9 P |
889 | || !TEST_true(EC_POINT_copy(Q, P)) |
890 | || !TEST_false(EC_POINT_is_at_infinity(group, Q)) | |
891 | || !TEST_true(EC_POINT_dbl(group, P, P, ctx)) | |
892 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) | |
893 | || !TEST_true(EC_POINT_invert(group, Q, ctx)) /* P = -2Q */ | |
894 | || !TEST_true(EC_POINT_add(group, R, P, Q, ctx)) | |
895 | || !TEST_true(EC_POINT_add(group, R, R, Q, ctx)) | |
896 | || !TEST_true(EC_POINT_is_at_infinity(group, R)) /* R = P + 2Q */ | |
897 | || !TEST_false(EC_POINT_is_at_infinity(group, Q))) | |
898 | goto err; | |
0f113f3e | 899 | |
0f113f3e MC |
900 | points[0] = Q; |
901 | points[1] = Q; | |
902 | points[2] = Q; | |
2db85ac9 P |
903 | |
904 | if (!TEST_true(BN_add(y, z, BN_value_one())) | |
dc352c19 | 905 | || !TEST_BN_even(y) |
2db85ac9 P |
906 | || !TEST_true(BN_rshift1(y, y))) |
907 | goto err; | |
0f113f3e MC |
908 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ |
909 | scalars[1] = y; | |
910 | ||
37916462 | 911 | TEST_note("combined multiplication ..."); |
0f113f3e MC |
912 | |
913 | /* z is still the group order */ | |
2db85ac9 P |
914 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) |
915 | || !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) | |
916 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx)) | |
917 | || !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx))) | |
918 | goto err; | |
919 | ||
5ecff87d | 920 | if (!TEST_true(BN_rand(y, BN_num_bits(y), 0, 0)) |
2db85ac9 P |
921 | || !TEST_true(BN_add(z, z, y))) |
922 | goto err; | |
0f113f3e MC |
923 | BN_set_negative(z, 1); |
924 | scalars[0] = y; | |
925 | scalars[1] = z; /* z = -(order + y) */ | |
926 | ||
2db85ac9 P |
927 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) |
928 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
929 | goto err; | |
0f113f3e | 930 | |
5ecff87d | 931 | if (!TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0)) |
2db85ac9 P |
932 | || !TEST_true(BN_add(z, x, y))) |
933 | goto err; | |
0f113f3e MC |
934 | BN_set_negative(z, 1); |
935 | scalars[0] = x; | |
936 | scalars[1] = y; | |
937 | scalars[2] = z; /* z = -(x+y) */ | |
938 | ||
2db85ac9 P |
939 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) |
940 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
941 | goto err;; | |
0f113f3e MC |
942 | } |
943 | ||
2db85ac9 P |
944 | r = 1; |
945 | err: | |
23a1d5e9 | 946 | BN_CTX_free(ctx); |
0f113f3e MC |
947 | BN_free(p); |
948 | BN_free(a); | |
949 | BN_free(b); | |
0f113f3e MC |
950 | BN_free(x); |
951 | BN_free(y); | |
952 | BN_free(z); | |
1e2012b7 | 953 | BN_free(yplusone); |
2db85ac9 P |
954 | BN_free(cof); |
955 | EC_POINT_free(P); | |
956 | EC_POINT_free(Q); | |
957 | EC_POINT_free(R); | |
958 | EC_GROUP_free(group); | |
959 | EC_GROUP_free(variable); | |
960 | return r; | |
0f113f3e | 961 | } |
7793f30e | 962 | |
2db85ac9 | 963 | static int char2_field_tests(void) |
0f113f3e MC |
964 | { |
965 | BN_CTX *ctx = NULL; | |
2db85ac9 P |
966 | BIGNUM *p = NULL, *a = NULL, *b = NULL; |
967 | EC_GROUP *group = NULL, *tmp = NULL; | |
968 | EC_POINT *P = NULL, *Q = NULL, *R = NULL; | |
969 | BIGNUM *x = NULL, *y = NULL, *z = NULL, *cof = NULL, *yplusone = NULL; | |
0f113f3e | 970 | unsigned char buf[100]; |
37916462 | 971 | size_t len; |
2db85ac9 | 972 | int k, r = 0; |
0f113f3e | 973 | |
2db85ac9 P |
974 | if (!TEST_ptr(ctx = BN_CTX_new()) |
975 | || !TEST_ptr(p = BN_new()) | |
976 | || !TEST_ptr(a = BN_new()) | |
977 | || !TEST_ptr(b = BN_new()) | |
978 | || !TEST_true(BN_hex2bn(&p, "13")) | |
979 | || !TEST_true(BN_hex2bn(&a, "3")) | |
980 | || !TEST_true(BN_hex2bn(&b, "1"))) | |
981 | goto err; | |
0f113f3e MC |
982 | |
983 | group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use | |
984 | * EC_GROUP_new_curve_GF2m | |
985 | * so that the library gets | |
986 | * to choose the EC_METHOD */ | |
2db85ac9 | 987 | if (!TEST_ptr(group) |
9cc570d4 | 988 | || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
2db85ac9 P |
989 | || !TEST_ptr(tmp = EC_GROUP_new(EC_GROUP_method_of(group))) |
990 | || !TEST_true(EC_GROUP_copy(tmp, group))) | |
991 | goto err; | |
992 | EC_GROUP_free(group); | |
993 | group = tmp; | |
994 | tmp = NULL; | |
995 | ||
9cc570d4 | 996 | if (!TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx))) |
2db85ac9 P |
997 | goto err; |
998 | ||
37916462 P |
999 | TEST_info("Curve defined by Weierstrass equation"); |
1000 | TEST_note(" y^2 + x*y = x^3 + a*x^2 + b (mod p)"); | |
1001 | test_output_bignum("a", a); | |
1002 | test_output_bignum("b", b); | |
1003 | test_output_bignum("p", p); | |
2db85ac9 P |
1004 | |
1005 | if (!TEST_ptr(P = EC_POINT_new(group)) | |
1006 | || !TEST_ptr(Q = EC_POINT_new(group)) | |
1007 | || !TEST_ptr(R = EC_POINT_new(group)) | |
1008 | || !TEST_true(EC_POINT_set_to_infinity(group, P)) | |
1009 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
1010 | goto err; | |
0f113f3e MC |
1011 | |
1012 | buf[0] = 0; | |
2db85ac9 P |
1013 | if (!TEST_true(EC_POINT_oct2point(group, Q, buf, 1, ctx)) |
1014 | || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)) | |
1015 | || !TEST_true(EC_POINT_is_at_infinity(group, P)) | |
1016 | || !TEST_ptr(x = BN_new()) | |
1017 | || !TEST_ptr(y = BN_new()) | |
1018 | || !TEST_ptr(z = BN_new()) | |
1019 | || !TEST_ptr(cof = BN_new()) | |
1020 | || !TEST_ptr(yplusone = BN_new()) | |
1021 | || !TEST_true(BN_hex2bn(&x, "6")) | |
7793f30e | 1022 | /* Change test based on whether binary point compression is enabled or not. */ |
0f113f3e | 1023 | # ifdef OPENSSL_EC_BIN_PT_COMP |
9cc570d4 | 1024 | || !TEST_true(EC_POINT_set_compressed_coordinates(group, Q, x, 1, ctx)) |
0f113f3e | 1025 | # else |
2db85ac9 | 1026 | || !TEST_true(BN_hex2bn(&y, "8")) |
9cc570d4 | 1027 | || !TEST_true(EC_POINT_set_affine_coordinates(group, Q, x, y, ctx)) |
0f113f3e | 1028 | # endif |
2db85ac9 P |
1029 | ) |
1030 | goto err; | |
1031 | if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) { | |
7793f30e | 1032 | /* Change test based on whether binary point compression is enabled or not. */ |
0f113f3e | 1033 | # ifdef OPENSSL_EC_BIN_PT_COMP |
9cc570d4 | 1034 | if (!TEST_true(EC_POINT_get_affine_coordinates(group, Q, x, y, ctx))) |
2db85ac9 | 1035 | goto err; |
0f113f3e | 1036 | # endif |
37916462 P |
1037 | TEST_info("Point is not on curve"); |
1038 | test_output_bignum("x", x); | |
1039 | test_output_bignum("y", y); | |
2db85ac9 | 1040 | goto err; |
0f113f3e MC |
1041 | } |
1042 | ||
37916462 | 1043 | TEST_note("A cyclic subgroup:"); |
0f113f3e MC |
1044 | k = 100; |
1045 | do { | |
2db85ac9 P |
1046 | if (!TEST_int_ne(k--, 0)) |
1047 | goto err; | |
0f113f3e MC |
1048 | |
1049 | if (EC_POINT_is_at_infinity(group, P)) | |
37916462 | 1050 | TEST_note(" point at infinity"); |
0f113f3e | 1051 | else { |
9cc570d4 MC |
1052 | if (!TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, |
1053 | ctx))) | |
2db85ac9 P |
1054 | goto err; |
1055 | ||
37916462 P |
1056 | test_output_bignum("x", x); |
1057 | test_output_bignum("y", y); | |
0f113f3e MC |
1058 | } |
1059 | ||
2db85ac9 P |
1060 | if (!TEST_true(EC_POINT_copy(R, P)) |
1061 | || !TEST_true(EC_POINT_add(group, P, P, Q, ctx))) | |
1062 | goto err; | |
0f113f3e MC |
1063 | } |
1064 | while (!EC_POINT_is_at_infinity(group, P)); | |
1065 | ||
2db85ac9 P |
1066 | if (!TEST_true(EC_POINT_add(group, P, Q, R, ctx)) |
1067 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
1068 | goto err; | |
7793f30e BM |
1069 | |
1070 | /* Change test based on whether binary point compression is enabled or not. */ | |
0f113f3e | 1071 | # ifdef OPENSSL_EC_BIN_PT_COMP |
2db85ac9 | 1072 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, |
cbe29648 | 1073 | buf, sizeof(buf), ctx); |
2db85ac9 P |
1074 | if (!TEST_size_t_ne(len, 0) |
1075 | || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1076 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) | |
1077 | goto err; | |
37916462 P |
1078 | test_output_memory("Generator as octet string, compressed form:", |
1079 | buf, len); | |
0f113f3e MC |
1080 | # endif |
1081 | ||
2db85ac9 | 1082 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, |
cbe29648 | 1083 | buf, sizeof(buf), ctx); |
2db85ac9 P |
1084 | if (!TEST_size_t_ne(len, 0) |
1085 | || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1086 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) | |
1087 | goto err; | |
37916462 P |
1088 | test_output_memory("Generator as octet string, uncompressed form:", |
1089 | buf, len); | |
7793f30e | 1090 | |
0f113f3e MC |
1091 | /* Change test based on whether binary point compression is enabled or not. */ |
1092 | # ifdef OPENSSL_EC_BIN_PT_COMP | |
1093 | len = | |
cbe29648 | 1094 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof(buf), |
0f113f3e | 1095 | ctx); |
2db85ac9 P |
1096 | if (!TEST_size_t_ne(len, 0) |
1097 | || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1098 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) | |
1099 | goto err; | |
37916462 P |
1100 | test_output_memory("Generator as octet string, hybrid form:", |
1101 | buf, len); | |
0f113f3e MC |
1102 | # endif |
1103 | ||
2db85ac9 P |
1104 | if (!TEST_true(EC_POINT_invert(group, P, ctx)) |
1105 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))) | |
1106 | goto err; | |
0f113f3e | 1107 | |
37916462 | 1108 | TEST_note("\n"); |
0f113f3e | 1109 | |
2db85ac9 P |
1110 | r = 1; |
1111 | err: | |
23a1d5e9 | 1112 | BN_CTX_free(ctx); |
0f113f3e MC |
1113 | BN_free(p); |
1114 | BN_free(a); | |
1115 | BN_free(b); | |
1116 | EC_GROUP_free(group); | |
2db85ac9 | 1117 | EC_GROUP_free(tmp); |
0f113f3e MC |
1118 | EC_POINT_free(P); |
1119 | EC_POINT_free(Q); | |
1120 | EC_POINT_free(R); | |
1121 | BN_free(x); | |
1122 | BN_free(y); | |
1123 | BN_free(z); | |
1124 | BN_free(cof); | |
1e2012b7 | 1125 | BN_free(yplusone); |
2db85ac9 | 1126 | return r; |
0f113f3e MC |
1127 | } |
1128 | # endif | |
7793f30e | 1129 | |
2db85ac9 | 1130 | static int internal_curve_test(int n) |
0f113f3e | 1131 | { |
2db85ac9 P |
1132 | EC_GROUP *group = NULL; |
1133 | int nid = curves[n].nid; | |
0f113f3e | 1134 | |
2db85ac9 P |
1135 | if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) { |
1136 | TEST_info("EC_GROUP_new_curve_name() failed with curve %s\n", | |
1137 | OBJ_nid2sn(nid)); | |
1138 | return 0; | |
0f113f3e | 1139 | } |
2db85ac9 P |
1140 | if (!TEST_true(EC_GROUP_check(group, NULL))) { |
1141 | TEST_info("EC_GROUP_check() failed with curve %s\n", OBJ_nid2sn(nid)); | |
0f113f3e | 1142 | EC_GROUP_free(group); |
2db85ac9 | 1143 | return 0; |
0f113f3e | 1144 | } |
2db85ac9 P |
1145 | EC_GROUP_free(group); |
1146 | return 1; | |
1147 | } | |
920ed8c8 | 1148 | |
2db85ac9 P |
1149 | static int internal_curve_test_method(int n) |
1150 | { | |
1151 | int r, nid = curves[n].nid; | |
1152 | EC_GROUP *group; | |
920ed8c8 | 1153 | |
2db85ac9 P |
1154 | if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) { |
1155 | TEST_info("Curve %s failed\n", OBJ_nid2sn(nid)); | |
1156 | return 0; | |
1157 | } | |
1158 | r = group_order_tests(group); | |
1159 | EC_GROUP_free(group); | |
1160 | return r; | |
0f113f3e MC |
1161 | } |
1162 | ||
fa1f0306 DA |
1163 | static int group_field_test(void) |
1164 | { | |
1165 | int r = 1; | |
1166 | BIGNUM *secp521r1_field = NULL; | |
1167 | BIGNUM *sect163r2_field = NULL; | |
1168 | EC_GROUP *secp521r1_group = NULL; | |
1169 | EC_GROUP *sect163r2_group = NULL; | |
1170 | ||
1171 | BN_hex2bn(&secp521r1_field, | |
1172 | "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
1173 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
1174 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
1175 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
1176 | "FFFF"); | |
1177 | ||
1178 | ||
1179 | BN_hex2bn(§163r2_field, | |
1180 | "08000000000000000000000000000000" | |
1181 | "00000000C9"); | |
1182 | ||
1183 | secp521r1_group = EC_GROUP_new_by_curve_name(NID_secp521r1); | |
1184 | if (BN_cmp(secp521r1_field, EC_GROUP_get0_field(secp521r1_group))) | |
1185 | r = 0; | |
1186 | ||
1187 | # ifndef OPENSSL_NO_EC2M | |
1188 | sect163r2_group = EC_GROUP_new_by_curve_name(NID_sect163r2); | |
1189 | if (BN_cmp(sect163r2_field, EC_GROUP_get0_field(sect163r2_group))) | |
1190 | r = 0; | |
1191 | # endif | |
1192 | ||
1193 | EC_GROUP_free(secp521r1_group); | |
1194 | EC_GROUP_free(sect163r2_group); | |
1195 | BN_free(secp521r1_field); | |
1196 | BN_free(sect163r2_field); | |
1197 | return r; | |
1198 | } | |
1199 | ||
0f113f3e MC |
1200 | # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 |
1201 | /* | |
1202 | * nistp_test_params contains magic numbers for testing our optimized | |
1203 | * implementations of several NIST curves with characteristic > 3. | |
1204 | */ | |
1205 | struct nistp_test_params { | |
3f5abab9 | 1206 | const EC_METHOD *(*meth) (void); |
0f113f3e MC |
1207 | int degree; |
1208 | /* | |
1209 | * Qx, Qy and D are taken from | |
79caf5d3 | 1210 | * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf |
0f113f3e MC |
1211 | * Otherwise, values are standard curve parameters from FIPS 180-3 |
1212 | */ | |
1213 | const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d; | |
1214 | }; | |
1215 | ||
1216 | static const struct nistp_test_params nistp_tests_params[] = { | |
1217 | { | |
1218 | /* P-224 */ | |
1219 | EC_GFp_nistp224_method, | |
1220 | 224, | |
1221 | /* p */ | |
1222 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", | |
1223 | /* a */ | |
1224 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", | |
1225 | /* b */ | |
1226 | "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", | |
1227 | /* Qx */ | |
1228 | "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", | |
1229 | /* Qy */ | |
1230 | "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", | |
1231 | /* Gx */ | |
1232 | "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", | |
1233 | /* Gy */ | |
1234 | "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", | |
1235 | /* order */ | |
1236 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", | |
1237 | /* d */ | |
1238 | "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", | |
1239 | }, | |
1240 | { | |
1241 | /* P-256 */ | |
1242 | EC_GFp_nistp256_method, | |
1243 | 256, | |
1244 | /* p */ | |
1245 | "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", | |
1246 | /* a */ | |
1247 | "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", | |
1248 | /* b */ | |
1249 | "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", | |
1250 | /* Qx */ | |
1251 | "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", | |
1252 | /* Qy */ | |
1253 | "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", | |
1254 | /* Gx */ | |
1255 | "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", | |
1256 | /* Gy */ | |
1257 | "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", | |
1258 | /* order */ | |
1259 | "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", | |
1260 | /* d */ | |
1261 | "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", | |
1262 | }, | |
1263 | { | |
1264 | /* P-521 */ | |
1265 | EC_GFp_nistp521_method, | |
1266 | 521, | |
1267 | /* p */ | |
2db85ac9 P |
1268 | "1ff" |
1269 | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | |
1270 | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", | |
0f113f3e | 1271 | /* a */ |
2db85ac9 P |
1272 | "1ff" |
1273 | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | |
1274 | "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", | |
0f113f3e | 1275 | /* b */ |
2db85ac9 P |
1276 | "051" |
1277 | "953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e1" | |
1278 | "56193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", | |
0f113f3e | 1279 | /* Qx */ |
2db85ac9 P |
1280 | "0098" |
1281 | "e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e" | |
1282 | "59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", | |
0f113f3e | 1283 | /* Qy */ |
2db85ac9 P |
1284 | "0164" |
1285 | "350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8" | |
1286 | "554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", | |
0f113f3e | 1287 | /* Gx */ |
2db85ac9 P |
1288 | "c6" |
1289 | "858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dba" | |
1290 | "a14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", | |
0f113f3e | 1291 | /* Gy */ |
2db85ac9 P |
1292 | "118" |
1293 | "39296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c" | |
1294 | "97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", | |
0f113f3e | 1295 | /* order */ |
2db85ac9 P |
1296 | "1ff" |
1297 | "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa" | |
1298 | "51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", | |
0f113f3e | 1299 | /* d */ |
2db85ac9 P |
1300 | "0100" |
1301 | "085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eee" | |
1302 | "df09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", | |
0f113f3e MC |
1303 | }, |
1304 | }; | |
3e00b4c9 | 1305 | |
2db85ac9 | 1306 | static int nistp_single_test(int idx) |
0f113f3e | 1307 | { |
2db85ac9 P |
1308 | const struct nistp_test_params *test = nistp_tests_params + idx; |
1309 | BN_CTX *ctx = NULL; | |
1310 | BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL; | |
1311 | BIGNUM *n = NULL, *m = NULL, *order = NULL, *yplusone = NULL; | |
1312 | EC_GROUP *NISTP = NULL; | |
1313 | EC_POINT *G = NULL, *P = NULL, *Q = NULL, *Q_CHECK = NULL; | |
1314 | int r = 0; | |
0f113f3e | 1315 | |
37916462 P |
1316 | TEST_note("NIST curve P-%d (optimised implementation):", |
1317 | test->degree); | |
2db85ac9 P |
1318 | if (!TEST_ptr(ctx = BN_CTX_new()) |
1319 | || !TEST_ptr(p = BN_new()) | |
1320 | || !TEST_ptr(a = BN_new()) | |
1321 | || !TEST_ptr(b = BN_new()) | |
1322 | || !TEST_ptr(x = BN_new()) | |
1323 | || !TEST_ptr(y = BN_new()) | |
1324 | || !TEST_ptr(m = BN_new()) | |
1325 | || !TEST_ptr(n = BN_new()) | |
1326 | || !TEST_ptr(order = BN_new()) | |
1327 | || !TEST_ptr(yplusone = BN_new()) | |
1328 | ||
1329 | || !TEST_ptr(NISTP = EC_GROUP_new(test->meth())) | |
1330 | || !TEST_true(BN_hex2bn(&p, test->p)) | |
1331 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
1332 | || !TEST_true(BN_hex2bn(&a, test->a)) | |
1333 | || !TEST_true(BN_hex2bn(&b, test->b)) | |
9cc570d4 | 1334 | || !TEST_true(EC_GROUP_set_curve(NISTP, p, a, b, ctx)) |
2db85ac9 P |
1335 | || !TEST_ptr(G = EC_POINT_new(NISTP)) |
1336 | || !TEST_ptr(P = EC_POINT_new(NISTP)) | |
1337 | || !TEST_ptr(Q = EC_POINT_new(NISTP)) | |
1338 | || !TEST_ptr(Q_CHECK = EC_POINT_new(NISTP)) | |
1339 | || !TEST_true(BN_hex2bn(&x, test->Qx)) | |
1340 | || !TEST_true(BN_hex2bn(&y, test->Qy)) | |
1341 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) | |
1e2012b7 EK |
1342 | /* |
1343 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
1344 | * and therefore setting the coordinates should fail. | |
1345 | */ | |
9cc570d4 MC |
1346 | || !TEST_false(EC_POINT_set_affine_coordinates(NISTP, Q_CHECK, x, |
1347 | yplusone, ctx)) | |
1348 | || !TEST_true(EC_POINT_set_affine_coordinates(NISTP, Q_CHECK, x, y, | |
1349 | ctx)) | |
2db85ac9 P |
1350 | || !TEST_true(BN_hex2bn(&x, test->Gx)) |
1351 | || !TEST_true(BN_hex2bn(&y, test->Gy)) | |
9cc570d4 | 1352 | || !TEST_true(EC_POINT_set_affine_coordinates(NISTP, G, x, y, ctx)) |
2db85ac9 P |
1353 | || !TEST_true(BN_hex2bn(&order, test->order)) |
1354 | || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) | |
1355 | || !TEST_int_eq(EC_GROUP_get_degree(NISTP), test->degree)) | |
1356 | goto err; | |
1357 | ||
37916462 | 1358 | TEST_note("NIST test vectors ... "); |
2db85ac9 P |
1359 | if (!TEST_true(BN_hex2bn(&n, test->d))) |
1360 | goto err; | |
0f113f3e MC |
1361 | /* fixed point multiplication */ |
1362 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); | |
2db85ac9 P |
1363 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) |
1364 | goto err; | |
0f113f3e MC |
1365 | /* random point multiplication */ |
1366 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); | |
2db85ac9 P |
1367 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) |
1368 | ||
1369 | /* set generator to P = 2*G, where G is the standard generator */ | |
1370 | || !TEST_true(EC_POINT_dbl(NISTP, P, G, ctx)) | |
1371 | || !TEST_true(EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) | |
1372 | /* set the scalar to m=n/2, where n is the NIST test scalar */ | |
1373 | || !TEST_true(BN_rshift(m, n, 1))) | |
1374 | goto err; | |
0f113f3e MC |
1375 | |
1376 | /* test the non-standard generator */ | |
1377 | /* fixed point multiplication */ | |
1378 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); | |
2db85ac9 P |
1379 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) |
1380 | goto err; | |
0f113f3e MC |
1381 | /* random point multiplication */ |
1382 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); | |
2db85ac9 | 1383 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) |
0f113f3e | 1384 | |
8ce4e7e6 MC |
1385 | /* |
1386 | * We have not performed precomputation so have_precompute mult should be | |
1387 | * false | |
1388 | */ | |
2db85ac9 | 1389 | || !TEST_false(EC_GROUP_have_precompute_mult(NISTP)) |
8ce4e7e6 | 1390 | |
0f113f3e | 1391 | /* now repeat all tests with precomputation */ |
2db85ac9 P |
1392 | || !TEST_true(EC_GROUP_precompute_mult(NISTP, ctx)) |
1393 | || !TEST_true(EC_GROUP_have_precompute_mult(NISTP))) | |
1394 | goto err; | |
0f113f3e MC |
1395 | |
1396 | /* fixed point multiplication */ | |
1397 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); | |
2db85ac9 P |
1398 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) |
1399 | goto err; | |
0f113f3e MC |
1400 | /* random point multiplication */ |
1401 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); | |
2db85ac9 | 1402 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) |
0f113f3e MC |
1403 | |
1404 | /* reset generator */ | |
2db85ac9 P |
1405 | || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))) |
1406 | goto err; | |
0f113f3e MC |
1407 | /* fixed point multiplication */ |
1408 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); | |
2db85ac9 P |
1409 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) |
1410 | goto err; | |
0f113f3e MC |
1411 | /* random point multiplication */ |
1412 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); | |
2db85ac9 P |
1413 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) |
1414 | goto err; | |
0f113f3e | 1415 | |
dc55e4f7 DB |
1416 | /* regression test for felem_neg bug */ |
1417 | if (!TEST_true(BN_set_word(m, 32)) | |
1418 | || !TEST_true(BN_set_word(n, 31)) | |
1419 | || !TEST_true(EC_POINT_copy(P, G)) | |
1420 | || !TEST_true(EC_POINT_invert(NISTP, P, ctx)) | |
1421 | || !TEST_true(EC_POINT_mul(NISTP, Q, m, P, n, ctx)) | |
1422 | || !TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, G, ctx))) | |
1423 | goto err; | |
1424 | ||
2db85ac9 P |
1425 | r = group_order_tests(NISTP); |
1426 | err: | |
0f113f3e MC |
1427 | EC_GROUP_free(NISTP); |
1428 | EC_POINT_free(G); | |
1429 | EC_POINT_free(P); | |
1430 | EC_POINT_free(Q); | |
1431 | EC_POINT_free(Q_CHECK); | |
1432 | BN_free(n); | |
1433 | BN_free(m); | |
1434 | BN_free(p); | |
1435 | BN_free(a); | |
1436 | BN_free(b); | |
1437 | BN_free(x); | |
1438 | BN_free(y); | |
1439 | BN_free(order); | |
1e2012b7 | 1440 | BN_free(yplusone); |
0f113f3e | 1441 | BN_CTX_free(ctx); |
2db85ac9 | 1442 | return r; |
0f113f3e | 1443 | } |
6855b496 MC |
1444 | |
1445 | /* | |
1446 | * Tests a point known to cause an incorrect underflow in an old version of | |
1447 | * ecp_nist521.c | |
1448 | */ | |
1449 | static int underflow_test(void) | |
1450 | { | |
1451 | BN_CTX *ctx = NULL; | |
1452 | EC_GROUP *grp = NULL; | |
1453 | EC_POINT *P = NULL, *Q = NULL, *R = NULL; | |
1454 | BIGNUM *x1 = NULL, *y1 = NULL, *z1 = NULL, *x2 = NULL, *y2 = NULL; | |
1455 | BIGNUM *k = NULL; | |
1456 | int testresult = 0; | |
1457 | const char *x1str = | |
1458 | "1534f0077fffffe87e9adcfe000000000000000000003e05a21d2400002e031b1f4" | |
1459 | "b80000c6fafa4f3c1288798d624a247b5e2ffffffffffffffefe099241900004"; | |
1460 | const char *p521m1 = | |
1461 | "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | |
1462 | "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe"; | |
1463 | ||
1464 | ctx = BN_CTX_new(); | |
1465 | if (!TEST_ptr(ctx)) | |
1466 | return 0; | |
1467 | ||
1468 | BN_CTX_start(ctx); | |
1469 | x1 = BN_CTX_get(ctx); | |
1470 | y1 = BN_CTX_get(ctx); | |
1471 | z1 = BN_CTX_get(ctx); | |
1472 | x2 = BN_CTX_get(ctx); | |
1473 | y2 = BN_CTX_get(ctx); | |
1474 | k = BN_CTX_get(ctx); | |
1475 | if (!TEST_ptr(k)) | |
1476 | goto err; | |
1477 | ||
1478 | grp = EC_GROUP_new_by_curve_name(NID_secp521r1); | |
1479 | P = EC_POINT_new(grp); | |
1480 | Q = EC_POINT_new(grp); | |
1481 | R = EC_POINT_new(grp); | |
1482 | if (!TEST_ptr(grp) || !TEST_ptr(P) || !TEST_ptr(Q) || !TEST_ptr(R)) | |
1483 | goto err; | |
1484 | ||
1485 | if (!TEST_int_gt(BN_hex2bn(&x1, x1str), 0) | |
1486 | || !TEST_int_gt(BN_hex2bn(&y1, p521m1), 0) | |
1487 | || !TEST_int_gt(BN_hex2bn(&z1, p521m1), 0) | |
1488 | || !TEST_int_gt(BN_hex2bn(&k, "02"), 0) | |
1489 | || !TEST_true(EC_POINT_set_Jprojective_coordinates_GFp(grp, P, x1, | |
1490 | y1, z1, ctx)) | |
1491 | || !TEST_true(EC_POINT_mul(grp, Q, NULL, P, k, ctx)) | |
1492 | || !TEST_true(EC_POINT_get_affine_coordinates(grp, Q, x1, y1, ctx)) | |
1493 | || !TEST_true(EC_POINT_dbl(grp, R, P, ctx)) | |
1494 | || !TEST_true(EC_POINT_get_affine_coordinates(grp, R, x2, y2, ctx))) | |
1495 | goto err; | |
1496 | ||
1497 | if (!TEST_int_eq(BN_cmp(x1, x2), 0) | |
1498 | || !TEST_int_eq(BN_cmp(y1, y2), 0)) | |
1499 | goto err; | |
1500 | ||
1501 | testresult = 1; | |
1502 | ||
1503 | err: | |
1504 | BN_CTX_end(ctx); | |
1505 | EC_POINT_free(P); | |
1506 | EC_POINT_free(Q); | |
81d61a62 | 1507 | EC_POINT_free(R); |
6855b496 MC |
1508 | EC_GROUP_free(grp); |
1509 | BN_CTX_free(ctx); | |
1510 | ||
1511 | return testresult; | |
1512 | } | |
0f113f3e | 1513 | # endif |
7793f30e | 1514 | |
fc6f579a DB |
1515 | static const unsigned char p521_named[] = { |
1516 | 0x06, 0x05, 0x2b, 0x81, 0x04, 0x00, 0x23, | |
1517 | }; | |
1518 | ||
1519 | static const unsigned char p521_explicit[] = { | |
1520 | 0x30, 0x82, 0x01, 0xc3, 0x02, 0x01, 0x01, 0x30, 0x4d, 0x06, 0x07, 0x2a, | |
1521 | 0x86, 0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x42, 0x01, 0xff, 0xff, 0xff, | |
1522 | 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
1523 | 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
1524 | 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
1525 | 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
1526 | 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
1527 | 0xff, 0xff, 0x30, 0x81, 0x9f, 0x04, 0x42, 0x01, 0xff, 0xff, 0xff, 0xff, | |
1528 | 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
1529 | 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
1530 | 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
1531 | 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
1532 | 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
1533 | 0xfc, 0x04, 0x42, 0x00, 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, 0x9a, | |
1534 | 0x1f, 0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85, 0x40, 0xee, 0xa2, 0xda, 0x72, | |
1535 | 0x5b, 0x99, 0xb3, 0x15, 0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1, 0x09, | |
1536 | 0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e, 0x93, 0x7b, 0x16, 0x52, 0xc0, | |
1537 | 0xbd, 0x3b, 0xb1, 0xbf, 0x07, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c, 0x34, | |
1538 | 0xf1, 0xef, 0x45, 0x1f, 0xd4, 0x6b, 0x50, 0x3f, 0x00, 0x03, 0x15, 0x00, | |
1539 | 0xd0, 0x9e, 0x88, 0x00, 0x29, 0x1c, 0xb8, 0x53, 0x96, 0xcc, 0x67, 0x17, | |
1540 | 0x39, 0x32, 0x84, 0xaa, 0xa0, 0xda, 0x64, 0xba, 0x04, 0x81, 0x85, 0x04, | |
1541 | 0x00, 0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04, 0xe9, 0xcd, 0x9e, 0x3e, | |
1542 | 0xcb, 0x66, 0x23, 0x95, 0xb4, 0x42, 0x9c, 0x64, 0x81, 0x39, 0x05, 0x3f, | |
1543 | 0xb5, 0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d, 0x3d, 0xba, 0xa1, 0x4b, | |
1544 | 0x5e, 0x77, 0xef, 0xe7, 0x59, 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff, | |
1545 | 0xa8, 0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a, 0x42, 0x9b, 0xf9, 0x7e, | |
1546 | 0x7e, 0x31, 0xc2, 0xe5, 0xbd, 0x66, 0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, | |
1547 | 0x9a, 0x3b, 0xc0, 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9, | |
1548 | 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, | |
1549 | 0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40, | |
1550 | 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, | |
1551 | 0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50, | |
1552 | 0x02, 0x42, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
1553 | 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, | |
1554 | 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfa, | |
1555 | 0x51, 0x86, 0x87, 0x83, 0xbf, 0x2f, 0x96, 0x6b, 0x7f, 0xcc, 0x01, 0x48, | |
1556 | 0xf7, 0x09, 0xa5, 0xd0, 0x3b, 0xb5, 0xc9, 0xb8, 0x89, 0x9c, 0x47, 0xae, | |
1557 | 0xbb, 0x6f, 0xb7, 0x1e, 0x91, 0x38, 0x64, 0x09, 0x02, 0x01, 0x01, | |
1558 | }; | |
1559 | ||
ac2b52c6 NT |
1560 | /* |
1561 | * This test validates a named curve's group parameters using | |
1562 | * EC_GROUP_check_named_curve(). It also checks that modifying any of the | |
1563 | * group parameters results in the curve not being valid. | |
1564 | */ | |
1565 | static int check_named_curve_test(int id) | |
8402cd5f | 1566 | { |
ac2b52c6 NT |
1567 | int ret = 0, nid, field_nid, has_seed; |
1568 | EC_GROUP *group = NULL, *gtest = NULL; | |
8402cd5f SL |
1569 | const EC_POINT *group_gen = NULL; |
1570 | EC_POINT *other_gen = NULL; | |
1571 | BIGNUM *group_p = NULL, *group_a = NULL, *group_b = NULL; | |
1572 | BIGNUM *other_p = NULL, *other_a = NULL, *other_b = NULL; | |
1573 | BIGNUM *group_cofactor = NULL, *other_cofactor = NULL; | |
1574 | BIGNUM *other_order = NULL; | |
1575 | const BIGNUM *group_order = NULL; | |
1576 | BN_CTX *bn_ctx = NULL; | |
1577 | static const unsigned char invalid_seed[] = "THIS IS NOT A VALID SEED"; | |
1578 | static size_t invalid_seed_len = sizeof(invalid_seed); | |
1579 | ||
1580 | /* Do some setup */ | |
1581 | nid = curves[id].nid; | |
1582 | if (!TEST_ptr(bn_ctx = BN_CTX_new()) | |
1583 | || !TEST_ptr(group = EC_GROUP_new_by_curve_name(nid)) | |
1584 | || !TEST_ptr(gtest = EC_GROUP_dup(group)) | |
1585 | || !TEST_ptr(group_p = BN_new()) | |
1586 | || !TEST_ptr(group_a = BN_new()) | |
1587 | || !TEST_ptr(group_b = BN_new()) | |
1588 | || !TEST_ptr(group_cofactor = BN_new()) | |
1589 | || !TEST_ptr(group_gen = EC_GROUP_get0_generator(group)) | |
1590 | || !TEST_ptr(group_order = EC_GROUP_get0_order(group)) | |
1591 | || !TEST_true(EC_GROUP_get_cofactor(group, group_cofactor, NULL)) | |
1592 | || !TEST_true(EC_GROUP_get_curve(group, group_p, group_a, group_b, NULL)) | |
1593 | || !TEST_ptr(other_gen = EC_POINT_dup(group_gen, group)) | |
1594 | || !TEST_true(EC_POINT_add(group, other_gen, group_gen, group_gen, NULL)) | |
1595 | || !TEST_ptr(other_order = BN_dup(group_order)) | |
1596 | || !TEST_true(BN_add_word(other_order, 1)) | |
1597 | || !TEST_ptr(other_a = BN_dup(group_a)) | |
1598 | || !TEST_true(BN_add_word(other_a, 1)) | |
1599 | || !TEST_ptr(other_b = BN_dup(group_b)) | |
1600 | || !TEST_true(BN_add_word(other_b, 1)) | |
1601 | || !TEST_ptr(other_cofactor = BN_dup(group_cofactor)) | |
1602 | || !TEST_true(BN_add_word(other_cofactor, 1))) | |
1603 | goto err; | |
1604 | ||
37f03b98 | 1605 | /* Determine if the built-in curve has a seed field set */ |
8402cd5f SL |
1606 | has_seed = (EC_GROUP_get_seed_len(group) > 0); |
1607 | field_nid = EC_METHOD_get_field_type(EC_GROUP_method_of(group)); | |
1608 | if (field_nid == NID_X9_62_characteristic_two_field) { | |
1609 | if (!TEST_ptr(other_p = BN_dup(group_p)) | |
1610 | || !TEST_true(BN_lshift1(other_p, other_p))) | |
1611 | goto err; | |
1612 | } else { | |
1613 | if (!TEST_ptr(other_p = BN_dup(group_p))) | |
1614 | goto err; | |
1615 | /* | |
1616 | * Just choosing any arbitrary prime does not work.. | |
1617 | * Setting p via ec_GFp_nist_group_set_curve() needs the prime to be a | |
1618 | * nist prime. So only select one of these as an alternate prime. | |
1619 | */ | |
1620 | if (!TEST_ptr(BN_copy(other_p, | |
1621 | BN_ucmp(BN_get0_nist_prime_192(), other_p) == 0 ? | |
1622 | BN_get0_nist_prime_256() : | |
1623 | BN_get0_nist_prime_192()))) | |
1624 | goto err; | |
1625 | } | |
1626 | ||
1627 | /* Passes because this is a valid curve */ | |
a9612d6c | 1628 | if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid) |
8402cd5f | 1629 | /* Only NIST curves pass */ |
a9612d6c | 1630 | || !TEST_int_eq(EC_GROUP_check_named_curve(group, 1, NULL), |
8402cd5f SL |
1631 | EC_curve_nid2nist(nid) != NULL ? nid : NID_undef)) |
1632 | goto err; | |
ac2b52c6 NT |
1633 | |
1634 | /* Fail if the curve name doesn't match the parameters */ | |
8402cd5f | 1635 | EC_GROUP_set_curve_name(group, nid + 1); |
ac2b52c6 | 1636 | ERR_set_mark(); |
a9612d6c | 1637 | if (!TEST_int_le(EC_GROUP_check_named_curve(group, 0, NULL), 0)) |
8402cd5f | 1638 | goto err; |
ac2b52c6 NT |
1639 | ERR_pop_to_mark(); |
1640 | ||
1641 | /* Restore curve name and ensure it's passing */ | |
8402cd5f | 1642 | EC_GROUP_set_curve_name(group, nid); |
a9612d6c | 1643 | if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid)) |
ac2b52c6 | 1644 | goto err; |
8402cd5f SL |
1645 | |
1646 | if (!TEST_int_eq(EC_GROUP_set_seed(group, invalid_seed, invalid_seed_len), | |
1647 | invalid_seed_len)) | |
1648 | goto err; | |
1649 | ||
1650 | if (has_seed) { | |
1651 | /* | |
37f03b98 | 1652 | * If the built-in curve has a seed and we set the seed to another value |
8402cd5f SL |
1653 | * then it will fail the check. |
1654 | */ | |
a9612d6c | 1655 | if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), 0)) |
8402cd5f SL |
1656 | goto err; |
1657 | } else { | |
1658 | /* | |
37f03b98 | 1659 | * If the built-in curve does not have a seed then setting the seed will |
8402cd5f SL |
1660 | * pass the check (as the seed is optional). |
1661 | */ | |
a9612d6c | 1662 | if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid)) |
8402cd5f SL |
1663 | goto err; |
1664 | } | |
1665 | /* Pass if the seed is unknown (as it is optional) */ | |
1666 | if (!TEST_int_eq(EC_GROUP_set_seed(group, NULL, 0), 1) | |
a9612d6c | 1667 | || !TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid)) |
8402cd5f SL |
1668 | goto err; |
1669 | ||
1670 | /* Check that a duped group passes */ | |
a9612d6c | 1671 | if (!TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid)) |
8402cd5f SL |
1672 | goto err; |
1673 | ||
ac2b52c6 | 1674 | /* check that changing any generator parameter fails */ |
8402cd5f SL |
1675 | if (!TEST_true(EC_GROUP_set_generator(gtest, other_gen, group_order, |
1676 | group_cofactor)) | |
a9612d6c | 1677 | || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), 0) |
8402cd5f SL |
1678 | || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, other_order, |
1679 | group_cofactor)) | |
a9612d6c | 1680 | || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), 0) |
8402cd5f SL |
1681 | /* The order is not an optional field, so this should fail */ |
1682 | || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, NULL, | |
1683 | group_cofactor)) | |
a9612d6c | 1684 | || !TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0) |
8402cd5f SL |
1685 | || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order, |
1686 | other_cofactor)) | |
a9612d6c | 1687 | || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), 0) |
8402cd5f SL |
1688 | /* Check that if the cofactor is not set then it still passes */ |
1689 | || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order, | |
1690 | NULL)) | |
a9612d6c | 1691 | || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid) |
8402cd5f SL |
1692 | /* check that restoring the generator passes */ |
1693 | || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order, | |
1694 | group_cofactor)) | |
a9612d6c | 1695 | || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid)) |
8d4f150f NT |
1696 | goto err; |
1697 | ||
ac2b52c6 | 1698 | /* |
8d4f150f NT |
1699 | * check that changing any curve parameter fails |
1700 | * | |
1701 | * Setting arbitrary p, a or b might fail for some EC_GROUPs | |
1702 | * depending on the internal EC_METHOD implementation, hence run | |
1703 | * these tests conditionally to the success of EC_GROUP_set_curve(). | |
1704 | */ | |
1705 | ERR_set_mark(); | |
1706 | if (EC_GROUP_set_curve(gtest, other_p, group_a, group_b, NULL)) { | |
a9612d6c | 1707 | if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0)) |
8d4f150f NT |
1708 | goto err; |
1709 | } else { | |
1710 | /* clear the error stack if EC_GROUP_set_curve() failed */ | |
1711 | ERR_pop_to_mark(); | |
1712 | ERR_set_mark(); | |
1713 | } | |
1714 | if (EC_GROUP_set_curve(gtest, group_p, other_a, group_b, NULL)) { | |
a9612d6c | 1715 | if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0)) |
8d4f150f NT |
1716 | goto err; |
1717 | } else { | |
1718 | /* clear the error stack if EC_GROUP_set_curve() failed */ | |
1719 | ERR_pop_to_mark(); | |
1720 | ERR_set_mark(); | |
1721 | } | |
1722 | if (EC_GROUP_set_curve(gtest, group_p, group_a, other_b, NULL)) { | |
a9612d6c | 1723 | if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0)) |
8d4f150f NT |
1724 | goto err; |
1725 | } else { | |
1726 | /* clear the error stack if EC_GROUP_set_curve() failed */ | |
1727 | ERR_pop_to_mark(); | |
1728 | ERR_set_mark(); | |
1729 | } | |
1730 | ERR_pop_to_mark(); | |
1731 | ||
ac2b52c6 | 1732 | /* Check that restoring the curve parameters passes */ |
8d4f150f | 1733 | if (!TEST_true(EC_GROUP_set_curve(gtest, group_p, group_a, group_b, NULL)) |
a9612d6c | 1734 | || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid)) |
8402cd5f SL |
1735 | goto err; |
1736 | ||
1737 | ret = 1; | |
1738 | err: | |
1739 | BN_free(group_p); | |
1740 | BN_free(other_p); | |
1741 | BN_free(group_a); | |
1742 | BN_free(other_a); | |
1743 | BN_free(group_b); | |
1744 | BN_free(other_b); | |
1745 | BN_free(group_cofactor); | |
1746 | BN_free(other_cofactor); | |
1747 | BN_free(other_order); | |
1748 | EC_POINT_free(other_gen); | |
8402cd5f SL |
1749 | EC_GROUP_free(gtest); |
1750 | EC_GROUP_free(group); | |
1751 | BN_CTX_free(bn_ctx); | |
1752 | return ret; | |
1753 | } | |
1754 | ||
ac2b52c6 NT |
1755 | /* |
1756 | * This checks the lookup capability of EC_GROUP_check_named_curve() | |
1757 | * when the given group was created with explicit parameters. | |
1758 | * | |
1759 | * It is possible to retrieve an alternative alias that does not match | |
1760 | * the original nid in this case. | |
1761 | */ | |
1762 | static int check_named_curve_lookup_test(int id) | |
1763 | { | |
1764 | int ret = 0, nid, rv = 0; | |
1765 | EC_GROUP *g = NULL , *ga = NULL; | |
1766 | ECPARAMETERS *p = NULL, *pa = NULL; | |
1767 | BN_CTX *ctx = NULL; | |
1768 | ||
1769 | /* Do some setup */ | |
1770 | nid = curves[id].nid; | |
1771 | if (!TEST_ptr(ctx = BN_CTX_new()) | |
1772 | || !TEST_ptr(g = EC_GROUP_new_by_curve_name(nid)) | |
1773 | || !TEST_ptr(p = EC_GROUP_get_ecparameters(g, NULL))) | |
1774 | goto err; | |
1775 | ||
1776 | /* replace with group from explicit parameters */ | |
1777 | EC_GROUP_free(g); | |
1778 | if (!TEST_ptr(g = EC_GROUP_new_from_ecparameters(p))) | |
1779 | goto err; | |
1780 | ||
a9612d6c | 1781 | if (!TEST_int_gt(rv = EC_GROUP_check_named_curve(g, 0, NULL), 0)) |
ac2b52c6 NT |
1782 | goto err; |
1783 | if (rv != nid) { | |
1784 | /* | |
1785 | * Found an alias: | |
1786 | * fail if the returned nid is not an alias of the original group. | |
1787 | * | |
1788 | * The comparison here is done by comparing two explicit | |
1789 | * parameter EC_GROUPs with EC_GROUP_cmp(), to ensure the | |
1790 | * comparison happens with unnamed EC_GROUPs using the same | |
1791 | * EC_METHODs. | |
1792 | */ | |
1793 | if (!TEST_ptr(ga = EC_GROUP_new_by_curve_name(rv)) | |
1794 | || !TEST_ptr(pa = EC_GROUP_get_ecparameters(ga, NULL))) | |
1795 | goto err; | |
1796 | ||
1797 | /* replace with group from explicit parameters, then compare */ | |
1798 | EC_GROUP_free(ga); | |
1799 | if (!TEST_ptr(ga = EC_GROUP_new_from_ecparameters(pa)) | |
1800 | || !TEST_int_eq(EC_GROUP_cmp(g, ga, ctx), 0)) | |
1801 | goto err; | |
1802 | } | |
1803 | ||
1804 | ret = 1; | |
1805 | ||
1806 | err: | |
1807 | EC_GROUP_free(g); | |
1808 | EC_GROUP_free(ga); | |
1809 | ECPARAMETERS_free(p); | |
1810 | ECPARAMETERS_free(pa); | |
1811 | BN_CTX_free(ctx); | |
1812 | ||
1813 | return ret; | |
1814 | } | |
1815 | ||
2db85ac9 | 1816 | static int parameter_test(void) |
0110a470 | 1817 | { |
2db85ac9 P |
1818 | EC_GROUP *group = NULL, *group2 = NULL; |
1819 | ECPARAMETERS *ecparameters = NULL; | |
fc6f579a DB |
1820 | unsigned char *buf = NULL; |
1821 | int r = 0, len; | |
1822 | ||
f5b7f99e | 1823 | if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp384r1)) |
fc6f579a DB |
1824 | || !TEST_ptr(ecparameters = EC_GROUP_get_ecparameters(group, NULL)) |
1825 | || !TEST_ptr(group2 = EC_GROUP_new_from_ecparameters(ecparameters)) | |
1826 | || !TEST_int_eq(EC_GROUP_cmp(group, group2, NULL), 0)) | |
1827 | goto err; | |
1828 | ||
1829 | EC_GROUP_free(group); | |
1830 | group = NULL; | |
0110a470 | 1831 | |
fc6f579a DB |
1832 | /* Test the named curve encoding, which should be default. */ |
1833 | if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp521r1)) | |
1834 | || !TEST_true((len = i2d_ECPKParameters(group, &buf)) >= 0) | |
1835 | || !TEST_mem_eq(buf, len, p521_named, sizeof(p521_named))) | |
1836 | goto err; | |
1837 | ||
1838 | OPENSSL_free(buf); | |
1839 | buf = NULL; | |
1840 | ||
1841 | /* | |
1842 | * Test the explicit encoding. P-521 requires correctly zero-padding the | |
1843 | * curve coefficients. | |
1844 | */ | |
1845 | EC_GROUP_set_asn1_flag(group, OPENSSL_EC_EXPLICIT_CURVE); | |
1846 | if (!TEST_true((len = i2d_ECPKParameters(group, &buf)) >= 0) | |
1847 | || !TEST_mem_eq(buf, len, p521_explicit, sizeof(p521_explicit))) | |
1848 | goto err; | |
0110a470 | 1849 | |
fc6f579a DB |
1850 | r = 1; |
1851 | err: | |
0110a470 KY |
1852 | EC_GROUP_free(group); |
1853 | EC_GROUP_free(group2); | |
1854 | ECPARAMETERS_free(ecparameters); | |
fc6f579a | 1855 | OPENSSL_free(buf); |
2db85ac9 | 1856 | return r; |
0110a470 | 1857 | } |
5173cdde SL |
1858 | |
1859 | static int check_ec_key_field_public_range_test(int id) | |
1860 | { | |
1861 | int ret = 0, type = 0; | |
1862 | const EC_POINT *pub = NULL; | |
1863 | const EC_GROUP *group = NULL; | |
1864 | const EC_METHOD *meth = NULL; | |
1865 | const BIGNUM *field = NULL; | |
1866 | BIGNUM *x = NULL, *y = NULL; | |
1867 | EC_KEY *key = NULL; | |
1868 | ||
1869 | if (!(TEST_ptr(x = BN_new()) | |
1870 | && TEST_ptr(y = BN_new()) | |
1871 | && TEST_ptr(key = EC_KEY_new_by_curve_name(curves[id].nid)) | |
1872 | && TEST_ptr(group = EC_KEY_get0_group(key)) | |
1873 | && TEST_ptr(meth = EC_GROUP_method_of(group)) | |
1874 | && TEST_ptr(field = EC_GROUP_get0_field(group)) | |
1875 | && TEST_int_gt(EC_KEY_generate_key(key), 0) | |
1876 | && TEST_int_gt(EC_KEY_check_key(key), 0) | |
1877 | && TEST_ptr(pub = EC_KEY_get0_public_key(key)) | |
1878 | && TEST_int_gt(EC_POINT_get_affine_coordinates(group, pub, x, y, | |
1879 | NULL), 0))) | |
1880 | goto err; | |
1881 | ||
1882 | /* | |
1883 | * Make the public point out of range by adding the field (which will still | |
1884 | * be the same point on the curve). The add is different for char2 fields. | |
1885 | */ | |
1886 | type = EC_METHOD_get_field_type(meth); | |
a5cf198b | 1887 | #ifndef OPENSSL_NO_EC2M |
5173cdde SL |
1888 | if (type == NID_X9_62_characteristic_two_field) { |
1889 | /* test for binary curves */ | |
1890 | if (!TEST_true(BN_GF2m_add(x, x, field))) | |
1891 | goto err; | |
a5cf198b MC |
1892 | } else |
1893 | #endif | |
1894 | if (type == NID_X9_62_prime_field) { | |
5173cdde SL |
1895 | /* test for prime curves */ |
1896 | if (!TEST_true(BN_add(x, x, field))) | |
1897 | goto err; | |
1898 | } else { | |
1899 | /* this should never happen */ | |
1900 | TEST_error("Unsupported EC_METHOD field_type"); | |
1901 | goto err; | |
1902 | } | |
1903 | if (!TEST_int_le(EC_KEY_set_public_key_affine_coordinates(key, x, y), 0)) | |
1904 | goto err; | |
1905 | ||
1906 | ret = 1; | |
1907 | err: | |
1908 | BN_free(x); | |
1909 | BN_free(y); | |
1910 | EC_KEY_free(key); | |
1911 | return ret; | |
1912 | } | |
1913 | #endif /* OPENSSL_NO_EC */ | |
7793f30e | 1914 | |
ad887416 | 1915 | int setup_tests(void) |
0f113f3e | 1916 | { |
2db85ac9 | 1917 | #ifndef OPENSSL_NO_EC |
2db85ac9 P |
1918 | crv_len = EC_get_builtin_curves(NULL, 0); |
1919 | if (!TEST_ptr(curves = OPENSSL_malloc(sizeof(*curves) * crv_len)) | |
1920 | || !TEST_true(EC_get_builtin_curves(curves, crv_len))) | |
ad887416 | 1921 | return 0; |
0f113f3e | 1922 | |
2db85ac9 P |
1923 | ADD_TEST(parameter_test); |
1924 | ADD_TEST(prime_field_tests); | |
0f113f3e | 1925 | # ifndef OPENSSL_NO_EC2M |
2db85ac9 P |
1926 | ADD_TEST(char2_field_tests); |
1927 | ADD_ALL_TESTS(char2_curve_test, OSSL_NELEM(char2_curve_tests)); | |
0f113f3e MC |
1928 | # endif |
1929 | # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 | |
2db85ac9 | 1930 | ADD_ALL_TESTS(nistp_single_test, OSSL_NELEM(nistp_tests_params)); |
6855b496 | 1931 | ADD_TEST(underflow_test); |
0f113f3e | 1932 | # endif |
2db85ac9 P |
1933 | ADD_ALL_TESTS(internal_curve_test, crv_len); |
1934 | ADD_ALL_TESTS(internal_curve_test_method, crv_len); | |
fa1f0306 | 1935 | ADD_TEST(group_field_test); |
ac2b52c6 NT |
1936 | ADD_ALL_TESTS(check_named_curve_test, crv_len); |
1937 | ADD_ALL_TESTS(check_named_curve_lookup_test, crv_len); | |
5173cdde SL |
1938 | ADD_ALL_TESTS(check_ec_key_field_public_range_test, crv_len); |
1939 | #endif /* OPENSSL_NO_EC */ | |
ad887416 P |
1940 | return 1; |
1941 | } | |
0f113f3e | 1942 | |
ad887416 P |
1943 | void cleanup_tests(void) |
1944 | { | |
f50b5f37 | 1945 | #ifndef OPENSSL_NO_EC |
2db85ac9 | 1946 | OPENSSL_free(curves); |
f50b5f37 | 1947 | #endif |
0f113f3e | 1948 | } |