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1 | /* | |
2 | * Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved. | |
3 | * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved | |
4 | * | |
5 | * Licensed under the OpenSSL license (the "License"). You may not use | |
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 | |
9 | */ | |
10 | ||
11 | #include "internal/nelem.h" | |
12 | #include "testutil.h" | |
13 | ||
14 | #ifndef OPENSSL_NO_EC | |
15 | # include <openssl/ec.h> | |
16 | # ifndef OPENSSL_NO_ENGINE | |
17 | # include <openssl/engine.h> | |
18 | # endif | |
19 | # include <openssl/err.h> | |
20 | # include <openssl/obj_mac.h> | |
21 | # include <openssl/objects.h> | |
22 | # include <openssl/rand.h> | |
23 | # include <openssl/bn.h> | |
24 | # include <openssl/opensslconf.h> | |
25 | ||
26 | static size_t crv_len = 0; | |
27 | static EC_builtin_curve *curves = NULL; | |
28 | ||
29 | /* test multiplication with group order, long and negative scalars */ | |
30 | static int group_order_tests(EC_GROUP *group) | |
31 | { | |
32 | BIGNUM *n1 = NULL, *n2 = NULL, *order = NULL; | |
33 | EC_POINT *P = NULL, *Q = NULL, *R = NULL, *S = NULL; | |
34 | BN_CTX *ctx = NULL; | |
35 | int i = 0, r = 0; | |
36 | ||
37 | if (!TEST_ptr(n1 = BN_new()) | |
38 | || !TEST_ptr(n2 = BN_new()) | |
39 | || !TEST_ptr(order = BN_new()) | |
40 | || !TEST_ptr(ctx = BN_CTX_new()) | |
41 | || !TEST_ptr(P = EC_POINT_new(group)) | |
42 | || !TEST_ptr(Q = EC_POINT_new(group)) | |
43 | || !TEST_ptr(R = EC_POINT_new(group)) | |
44 | || !TEST_ptr(S = EC_POINT_new(group))) | |
45 | goto err; | |
46 | ||
47 | if (!TEST_true(EC_GROUP_get_order(group, order, ctx)) | |
48 | || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) | |
49 | || !TEST_true(EC_POINT_is_at_infinity(group, Q)) | |
50 | || !TEST_true(EC_GROUP_precompute_mult(group, ctx)) | |
51 | || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) | |
52 | || !TEST_true(EC_POINT_is_at_infinity(group, Q))) | |
53 | goto err; | |
54 | ||
55 | for (i = 1; i <= 2; i++) { | |
56 | const BIGNUM *scalars[6]; | |
57 | const EC_POINT *points[6]; | |
58 | ||
59 | if (!TEST_true(BN_set_word(n1, i)) | |
60 | /* | |
61 | * If i == 1, P will be the predefined generator for which | |
62 | * EC_GROUP_precompute_mult has set up precomputation. | |
63 | */ | |
64 | || !TEST_true(EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) | |
65 | || !TEST_true(BN_one(n1)) | |
66 | /* n1 = 1 - order */ | |
67 | || !TEST_true(BN_sub(n1, n1, order)) | |
68 | || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n1, ctx)) | |
69 | || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)) | |
70 | ||
71 | /* n2 = 1 + order */ | |
72 | || !TEST_true(BN_add(n2, order, BN_value_one())) | |
73 | || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
74 | || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)) | |
75 | ||
76 | /* n2 = (1 - order) * (1 + order) = 1 - order^2 */ | |
77 | || !TEST_true(BN_mul(n2, n1, n2, ctx)) | |
78 | || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
79 | || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))) | |
80 | goto err; | |
81 | ||
82 | /* n2 = order^2 - 1 */ | |
83 | BN_set_negative(n2, 0); | |
84 | if (!TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx)) | |
85 | /* Add P to verify the result. */ | |
86 | || !TEST_true(EC_POINT_add(group, Q, Q, P, ctx)) | |
87 | || !TEST_true(EC_POINT_is_at_infinity(group, Q)) | |
88 | ||
89 | /* Exercise EC_POINTs_mul, including corner cases. */ | |
90 | || !TEST_false(EC_POINT_is_at_infinity(group, P))) | |
91 | goto err; | |
92 | ||
93 | scalars[0] = scalars[1] = BN_value_one(); | |
94 | points[0] = points[1] = P; | |
95 | ||
96 | if (!TEST_true(EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx)) | |
97 | || !TEST_true(EC_POINT_dbl(group, S, points[0], ctx)) | |
98 | || !TEST_int_eq(0, EC_POINT_cmp(group, R, S, ctx))) | |
99 | goto err; | |
100 | ||
101 | scalars[0] = n1; | |
102 | points[0] = Q; /* => infinity */ | |
103 | scalars[1] = n2; | |
104 | points[1] = P; /* => -P */ | |
105 | scalars[2] = n1; | |
106 | points[2] = Q; /* => infinity */ | |
107 | scalars[3] = n2; | |
108 | points[3] = Q; /* => infinity */ | |
109 | scalars[4] = n1; | |
110 | points[4] = P; /* => P */ | |
111 | scalars[5] = n2; | |
112 | points[5] = Q; /* => infinity */ | |
113 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) | |
114 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
115 | goto err; | |
116 | } | |
117 | ||
118 | r = 1; | |
119 | err: | |
120 | if (r == 0 && i != 0) | |
121 | TEST_info(i == 1 ? "allowing precomputation" : | |
122 | "without precomputation"); | |
123 | EC_POINT_free(P); | |
124 | EC_POINT_free(Q); | |
125 | EC_POINT_free(R); | |
126 | EC_POINT_free(S); | |
127 | BN_free(n1); | |
128 | BN_free(n2); | |
129 | BN_free(order); | |
130 | BN_CTX_free(ctx); | |
131 | return r; | |
132 | } | |
133 | ||
134 | static int prime_field_tests(void) | |
135 | { | |
136 | BN_CTX *ctx = NULL; | |
137 | BIGNUM *p = NULL, *a = NULL, *b = NULL, *scalar3 = NULL; | |
138 | EC_GROUP *group = NULL, *tmp = NULL; | |
139 | EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, | |
140 | *P_256 = NULL, *P_384 = NULL, *P_521 = NULL; | |
141 | EC_POINT *P = NULL, *Q = NULL, *R = NULL; | |
142 | BIGNUM *x = NULL, *y = NULL, *z = NULL, *yplusone = NULL; | |
143 | const EC_POINT *points[4]; | |
144 | const BIGNUM *scalars[4]; | |
145 | unsigned char buf[100]; | |
146 | size_t len, r = 0; | |
147 | int k; | |
148 | ||
149 | if (!TEST_ptr(ctx = BN_CTX_new()) | |
150 | || !TEST_ptr(p = BN_new()) | |
151 | || !TEST_ptr(a = BN_new()) | |
152 | || !TEST_ptr(b = BN_new()) | |
153 | || !TEST_true(BN_hex2bn(&p, "17")) | |
154 | || !TEST_true(BN_hex2bn(&a, "1")) | |
155 | || !TEST_true(BN_hex2bn(&b, "1")) | |
156 | /* | |
157 | * applications should use EC_GROUP_new_curve_GFp so | |
158 | * that the library gets to choose the EC_METHOD | |
159 | */ | |
160 | || !TEST_ptr(group = EC_GROUP_new(EC_GFp_mont_method())) | |
161 | || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
162 | || !TEST_ptr(tmp = EC_GROUP_new(EC_GROUP_method_of(group))) | |
163 | || !TEST_true(EC_GROUP_copy(tmp, group))) | |
164 | goto err; | |
165 | EC_GROUP_free(group); | |
166 | group = tmp; | |
167 | tmp = NULL; | |
168 | ||
169 | if (!TEST_true(EC_GROUP_get_curve_GFp(group, p, a, b, ctx))) | |
170 | goto err; | |
171 | ||
172 | TEST_info("Curve defined by Weierstrass equation"); | |
173 | TEST_note(" y^2 = x^3 + a*x + b (mod p)"); | |
174 | test_output_bignum("a", a); | |
175 | test_output_bignum("b", b); | |
176 | test_output_bignum("p", p); | |
177 | ||
178 | buf[0] = 0; | |
179 | if (!TEST_ptr(P = EC_POINT_new(group)) | |
180 | || !TEST_ptr(Q = EC_POINT_new(group)) | |
181 | || !TEST_ptr(R = EC_POINT_new(group)) | |
182 | || !TEST_true(EC_POINT_set_to_infinity(group, P)) | |
183 | || !TEST_true(EC_POINT_is_at_infinity(group, P)) | |
184 | || !TEST_true(EC_POINT_oct2point(group, Q, buf, 1, ctx)) | |
185 | || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)) | |
186 | || !TEST_true(EC_POINT_is_at_infinity(group, P)) | |
187 | || !TEST_ptr(x = BN_new()) | |
188 | || !TEST_ptr(y = BN_new()) | |
189 | || !TEST_ptr(z = BN_new()) | |
190 | || !TEST_ptr(yplusone = BN_new()) | |
191 | || !TEST_true(BN_hex2bn(&x, "D")) | |
192 | || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, | |
193 | ctx))) | |
194 | goto err; | |
195 | ||
196 | if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) { | |
197 | if (!TEST_true(EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, | |
198 | ctx))) | |
199 | goto err; | |
200 | TEST_info("Point is not on curve"); | |
201 | test_output_bignum("x", x); | |
202 | test_output_bignum("y", y); | |
203 | goto err; | |
204 | } | |
205 | ||
206 | TEST_note("A cyclic subgroup:"); | |
207 | k = 100; | |
208 | do { | |
209 | if (!TEST_int_ne(k--, 0)) | |
210 | goto err; | |
211 | ||
212 | if (EC_POINT_is_at_infinity(group, P)) { | |
213 | TEST_note(" point at infinity"); | |
214 | } else { | |
215 | if (!TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, | |
216 | ctx))) | |
217 | goto err; | |
218 | ||
219 | test_output_bignum("x", x); | |
220 | test_output_bignum("y", y); | |
221 | } | |
222 | ||
223 | if (!TEST_true(EC_POINT_copy(R, P)) | |
224 | || !TEST_true(EC_POINT_add(group, P, P, Q, ctx))) | |
225 | goto err; | |
226 | ||
227 | } while (!EC_POINT_is_at_infinity(group, P)); | |
228 | ||
229 | if (!TEST_true(EC_POINT_add(group, P, Q, R, ctx)) | |
230 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
231 | goto err; | |
232 | ||
233 | len = | |
234 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, | |
235 | sizeof(buf), ctx); | |
236 | if (!TEST_size_t_ne(len, 0) | |
237 | || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) | |
238 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) | |
239 | goto err; | |
240 | test_output_memory("Generator as octet string, compressed form:", | |
241 | buf, len); | |
242 | ||
243 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, | |
244 | buf, sizeof(buf), ctx); | |
245 | if (!TEST_size_t_ne(len, 0) | |
246 | || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) | |
247 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) | |
248 | goto err; | |
249 | test_output_memory("Generator as octet string, uncompressed form:", | |
250 | buf, len); | |
251 | ||
252 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, | |
253 | buf, sizeof(buf), ctx); | |
254 | if (!TEST_size_t_ne(len, 0) | |
255 | || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) | |
256 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) | |
257 | goto err; | |
258 | test_output_memory("Generator as octet string, hybrid form:", | |
259 | buf, len); | |
260 | ||
261 | if (!TEST_true(EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, | |
262 | ctx))) | |
263 | goto err; | |
264 | TEST_info("A representation of the inverse of that generator in"); | |
265 | TEST_note("Jacobian projective coordinates"); | |
266 | test_output_bignum("x", x); | |
267 | test_output_bignum("y", y); | |
268 | test_output_bignum("z", z); | |
269 | ||
270 | if (!TEST_true(EC_POINT_invert(group, P, ctx)) | |
271 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx)) | |
272 | ||
273 | /* | |
274 | * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, | |
275 | * 2000) -- not a NIST curve, but commonly used | |
276 | */ | |
277 | ||
278 | || !TEST_true(BN_hex2bn(&p, "FFFFFFFF" | |
279 | "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) | |
280 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
281 | || !TEST_true(BN_hex2bn(&a, "FFFFFFFF" | |
282 | "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) | |
283 | || !TEST_true(BN_hex2bn(&b, "1C97BEFC" | |
284 | "54BD7A8B65ACF89F81D4D4ADC565FA45")) | |
285 | || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
286 | || !TEST_true(BN_hex2bn(&x, "4A96B568" | |
287 | "8EF573284664698968C38BB913CBFC82")) | |
288 | || !TEST_true(BN_hex2bn(&y, "23a62855" | |
289 | "3168947d59dcc912042351377ac5fb32")) | |
290 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) | |
291 | /* | |
292 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
293 | * and therefore setting the coordinates should fail. | |
294 | */ | |
295 | || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x, | |
296 | yplusone, ctx)) | |
297 | || !TEST_true(EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) | |
298 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) | |
299 | || !TEST_true(BN_hex2bn(&z, "0100000000" | |
300 | "000000000001F4C8F927AED3CA752257")) | |
301 | || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
302 | || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))) | |
303 | goto err; | |
304 | TEST_info("SEC2 curve secp160r1 -- Generator"); | |
305 | test_output_bignum("x", x); | |
306 | test_output_bignum("y", y); | |
307 | /* G_y value taken from the standard: */ | |
308 | if (!TEST_true(BN_hex2bn(&z, "23a62855" | |
309 | "3168947d59dcc912042351377ac5fb32")) | |
310 | || !TEST_BN_eq(y, z) | |
311 | || !TEST_int_eq(EC_GROUP_get_degree(group), 160) | |
312 | || !group_order_tests(group) | |
313 | || !TEST_ptr(P_160 = EC_GROUP_new(EC_GROUP_method_of(group))) | |
314 | || !TEST_true(EC_GROUP_copy(P_160, group)) | |
315 | ||
316 | /* Curve P-192 (FIPS PUB 186-2, App. 6) */ | |
317 | ||
318 | || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFF" | |
319 | "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) | |
320 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
321 | || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFF" | |
322 | "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) | |
323 | || !TEST_true(BN_hex2bn(&b, "64210519E59C80E7" | |
324 | "0FA7E9AB72243049FEB8DEECC146B9B1")) | |
325 | || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
326 | || !TEST_true(BN_hex2bn(&x, "188DA80EB03090F6" | |
327 | "7CBF20EB43A18800F4FF0AFD82FF1012")) | |
328 | || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, | |
329 | ctx)) | |
330 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) | |
331 | || !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFF" | |
332 | "FFFFFFFF99DEF836146BC9B1B4D22831")) | |
333 | || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
334 | || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))) | |
335 | goto err; | |
336 | ||
337 | TEST_info("NIST curve P-192 -- Generator"); | |
338 | test_output_bignum("x", x); | |
339 | test_output_bignum("y", y); | |
340 | /* G_y value taken from the standard: */ | |
341 | if (!TEST_true(BN_hex2bn(&z, "07192B95FFC8DA78" | |
342 | "631011ED6B24CDD573F977A11E794811")) | |
343 | || !TEST_BN_eq(y, z) | |
344 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) | |
345 | /* | |
346 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
347 | * and therefore setting the coordinates should fail. | |
348 | */ | |
349 | || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x, | |
350 | yplusone, ctx)) | |
351 | || !TEST_int_eq(EC_GROUP_get_degree(group), 192) | |
352 | || !group_order_tests(group) | |
353 | || !TEST_ptr(P_192 = EC_GROUP_new(EC_GROUP_method_of(group))) | |
354 | || !TEST_true(EC_GROUP_copy(P_192, group)) | |
355 | ||
356 | /* Curve P-224 (FIPS PUB 186-2, App. 6) */ | |
357 | ||
358 | || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFF" | |
359 | "FFFFFFFF000000000000000000000001")) | |
360 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
361 | || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFF" | |
362 | "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) | |
363 | || !TEST_true(BN_hex2bn(&b, "B4050A850C04B3ABF5413256" | |
364 | "5044B0B7D7BFD8BA270B39432355FFB4")) | |
365 | || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
366 | || !TEST_true(BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B9" | |
367 | "4A03C1D356C21122343280D6115C1D21")) | |
368 | || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, | |
369 | ctx)) | |
370 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) | |
371 | || !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF" | |
372 | "FFFF16A2E0B8F03E13DD29455C5C2A3D")) | |
373 | || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
374 | || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))) | |
375 | goto err; | |
376 | ||
377 | TEST_info("NIST curve P-224 -- Generator"); | |
378 | test_output_bignum("x", x); | |
379 | test_output_bignum("y", y); | |
380 | /* G_y value taken from the standard: */ | |
381 | if (!TEST_true(BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6" | |
382 | "CD4375A05A07476444D5819985007E34")) | |
383 | || !TEST_BN_eq(y, z) | |
384 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) | |
385 | /* | |
386 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
387 | * and therefore setting the coordinates should fail. | |
388 | */ | |
389 | || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x, | |
390 | yplusone, ctx)) | |
391 | || !TEST_int_eq(EC_GROUP_get_degree(group), 224) | |
392 | || !group_order_tests(group) | |
393 | || !TEST_ptr(P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) | |
394 | || !TEST_true(EC_GROUP_copy(P_224, group)) | |
395 | ||
396 | /* Curve P-256 (FIPS PUB 186-2, App. 6) */ | |
397 | ||
398 | || !TEST_true(BN_hex2bn(&p, "FFFFFFFF000000010000000000000000" | |
399 | "00000000FFFFFFFFFFFFFFFFFFFFFFFF")) | |
400 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
401 | || !TEST_true(BN_hex2bn(&a, "FFFFFFFF000000010000000000000000" | |
402 | "00000000FFFFFFFFFFFFFFFFFFFFFFFC")) | |
403 | || !TEST_true(BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC" | |
404 | "651D06B0CC53B0F63BCE3C3E27D2604B")) | |
405 | || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
406 | ||
407 | || !TEST_true(BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F2" | |
408 | "77037D812DEB33A0F4A13945D898C296")) | |
409 | || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, | |
410 | ctx)) | |
411 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) | |
412 | || !TEST_true(BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFF" | |
413 | "BCE6FAADA7179E84F3B9CAC2FC632551")) | |
414 | || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
415 | || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))) | |
416 | goto err; | |
417 | ||
418 | TEST_info("NIST curve P-256 -- Generator"); | |
419 | test_output_bignum("x", x); | |
420 | test_output_bignum("y", y); | |
421 | /* G_y value taken from the standard: */ | |
422 | if (!TEST_true(BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E16" | |
423 | "2BCE33576B315ECECBB6406837BF51F5")) | |
424 | || !TEST_BN_eq(y, z) | |
425 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) | |
426 | /* | |
427 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
428 | * and therefore setting the coordinates should fail. | |
429 | */ | |
430 | || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x, | |
431 | yplusone, ctx)) | |
432 | || !TEST_int_eq(EC_GROUP_get_degree(group), 256) | |
433 | || !group_order_tests(group) | |
434 | || !TEST_ptr(P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) | |
435 | || !TEST_true(EC_GROUP_copy(P_256, group)) | |
436 | ||
437 | /* Curve P-384 (FIPS PUB 186-2, App. 6) */ | |
438 | ||
439 | || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
440 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE" | |
441 | "FFFFFFFF0000000000000000FFFFFFFF")) | |
442 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
443 | || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
444 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE" | |
445 | "FFFFFFFF0000000000000000FFFFFFFC")) | |
446 | || !TEST_true(BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19" | |
447 | "181D9C6EFE8141120314088F5013875A" | |
448 | "C656398D8A2ED19D2A85C8EDD3EC2AEF")) | |
449 | || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
450 | ||
451 | || !TEST_true(BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD74" | |
452 | "6E1D3B628BA79B9859F741E082542A38" | |
453 | "5502F25DBF55296C3A545E3872760AB7")) | |
454 | || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, | |
455 | ctx)) | |
456 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) | |
457 | || !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
458 | "FFFFFFFFFFFFFFFFC7634D81F4372DDF" | |
459 | "581A0DB248B0A77AECEC196ACCC52973")) | |
460 | || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
461 | || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))) | |
462 | goto err; | |
463 | ||
464 | TEST_info("NIST curve P-384 -- Generator"); | |
465 | test_output_bignum("x", x); | |
466 | test_output_bignum("y", y); | |
467 | /* G_y value taken from the standard: */ | |
468 | if (!TEST_true(BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29" | |
469 | "F8F41DBD289A147CE9DA3113B5F0B8C0" | |
470 | "0A60B1CE1D7E819D7A431D7C90EA0E5F")) | |
471 | || !TEST_BN_eq(y, z) | |
472 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) | |
473 | /* | |
474 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
475 | * and therefore setting the coordinates should fail. | |
476 | */ | |
477 | || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x, | |
478 | yplusone, ctx)) | |
479 | || !TEST_int_eq(EC_GROUP_get_degree(group), 384) | |
480 | || !group_order_tests(group) | |
481 | || !TEST_ptr(P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) | |
482 | || !TEST_true(EC_GROUP_copy(P_384, group)) | |
483 | ||
484 | /* Curve P-521 (FIPS PUB 186-2, App. 6) */ | |
485 | || !TEST_true(BN_hex2bn(&p, "1FF" | |
486 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
487 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
488 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
489 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF")) | |
490 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
491 | || !TEST_true(BN_hex2bn(&a, "1FF" | |
492 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
493 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
494 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
495 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC")) | |
496 | || !TEST_true(BN_hex2bn(&b, "051" | |
497 | "953EB9618E1C9A1F929A21A0B68540EE" | |
498 | "A2DA725B99B315F3B8B489918EF109E1" | |
499 | "56193951EC7E937B1652C0BD3BB1BF07" | |
500 | "3573DF883D2C34F1EF451FD46B503F00")) | |
501 | || !TEST_true(EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) | |
502 | || !TEST_true(BN_hex2bn(&x, "C6" | |
503 | "858E06B70404E9CD9E3ECB662395B442" | |
504 | "9C648139053FB521F828AF606B4D3DBA" | |
505 | "A14B5E77EFE75928FE1DC127A2FFA8DE" | |
506 | "3348B3C1856A429BF97E7E31C2E5BD66")) | |
507 | || !TEST_true(EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, | |
508 | ctx)) | |
509 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) | |
510 | || !TEST_true(BN_hex2bn(&z, "1FF" | |
511 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
512 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA" | |
513 | "51868783BF2F966B7FCC0148F709A5D0" | |
514 | "3BB5C9B8899C47AEBB6FB71E91386409")) | |
515 | || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) | |
516 | || !TEST_true(EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))) | |
517 | goto err; | |
518 | ||
519 | TEST_info("NIST curve P-521 -- Generator"); | |
520 | test_output_bignum("x", x); | |
521 | test_output_bignum("y", y); | |
522 | /* G_y value taken from the standard: */ | |
523 | if (!TEST_true(BN_hex2bn(&z, "118" | |
524 | "39296A789A3BC0045C8A5FB42C7D1BD9" | |
525 | "98F54449579B446817AFBD17273E662C" | |
526 | "97EE72995EF42640C550B9013FAD0761" | |
527 | "353C7086A272C24088BE94769FD16650")) | |
528 | || !TEST_BN_eq(y, z) | |
529 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) | |
530 | /* | |
531 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
532 | * and therefore setting the coordinates should fail. | |
533 | */ | |
534 | || !TEST_false(EC_POINT_set_affine_coordinates_GFp(group, P, x, | |
535 | yplusone, ctx)) | |
536 | || !TEST_int_eq(EC_GROUP_get_degree(group), 521) | |
537 | || !group_order_tests(group) | |
538 | || !TEST_ptr(P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) | |
539 | || !TEST_true(EC_GROUP_copy(P_521, group)) | |
540 | ||
541 | /* more tests using the last curve */ | |
542 | ||
543 | /* Restore the point that got mangled in the (x, y + 1) test. */ | |
544 | || !TEST_true(EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) | |
545 | || !TEST_true(EC_POINT_copy(Q, P)) | |
546 | || !TEST_false(EC_POINT_is_at_infinity(group, Q)) | |
547 | || !TEST_true(EC_POINT_dbl(group, P, P, ctx)) | |
548 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) | |
549 | || !TEST_true(EC_POINT_invert(group, Q, ctx)) /* P = -2Q */ | |
550 | || !TEST_true(EC_POINT_add(group, R, P, Q, ctx)) | |
551 | || !TEST_true(EC_POINT_add(group, R, R, Q, ctx)) | |
552 | || !TEST_true(EC_POINT_is_at_infinity(group, R)) /* R = P + 2Q */ | |
553 | || !TEST_false(EC_POINT_is_at_infinity(group, Q))) | |
554 | goto err; | |
555 | points[0] = Q; | |
556 | points[1] = Q; | |
557 | points[2] = Q; | |
558 | points[3] = Q; | |
559 | ||
560 | if (!TEST_true(EC_GROUP_get_order(group, z, ctx)) | |
561 | || !TEST_true(BN_add(y, z, BN_value_one())) | |
562 | || !TEST_BN_even(y) | |
563 | || !TEST_true(BN_rshift1(y, y))) | |
564 | goto err; | |
565 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
566 | scalars[1] = y; | |
567 | ||
568 | TEST_note("combined multiplication ..."); | |
569 | ||
570 | /* z is still the group order */ | |
571 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
572 | || !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) | |
573 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx)) | |
574 | || !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx)) | |
575 | || !TEST_true(BN_rand(y, BN_num_bits(y), 0, 0)) | |
576 | || !TEST_true(BN_add(z, z, y))) | |
577 | goto err; | |
578 | BN_set_negative(z, 1); | |
579 | scalars[0] = y; | |
580 | scalars[1] = z; /* z = -(order + y) */ | |
581 | ||
582 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
583 | || !TEST_true(EC_POINT_is_at_infinity(group, P)) | |
584 | || !TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0)) | |
585 | || !TEST_true(BN_add(z, x, y))) | |
586 | goto err; | |
587 | BN_set_negative(z, 1); | |
588 | scalars[0] = x; | |
589 | scalars[1] = y; | |
590 | scalars[2] = z; /* z = -(x+y) */ | |
591 | ||
592 | if (!TEST_ptr(scalar3 = BN_new())) | |
593 | goto err; | |
594 | BN_zero(scalar3); | |
595 | scalars[3] = scalar3; | |
596 | ||
597 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) | |
598 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
599 | goto err; | |
600 | ||
601 | TEST_note(" ok\n"); | |
602 | ||
603 | ||
604 | r = 1; | |
605 | err: | |
606 | BN_CTX_free(ctx); | |
607 | BN_free(p); | |
608 | BN_free(a); | |
609 | BN_free(b); | |
610 | EC_GROUP_free(group); | |
611 | EC_GROUP_free(tmp); | |
612 | EC_POINT_free(P); | |
613 | EC_POINT_free(Q); | |
614 | EC_POINT_free(R); | |
615 | BN_free(x); | |
616 | BN_free(y); | |
617 | BN_free(z); | |
618 | BN_free(yplusone); | |
619 | BN_free(scalar3); | |
620 | ||
621 | EC_GROUP_free(P_160); | |
622 | EC_GROUP_free(P_192); | |
623 | EC_GROUP_free(P_224); | |
624 | EC_GROUP_free(P_256); | |
625 | EC_GROUP_free(P_384); | |
626 | EC_GROUP_free(P_521); | |
627 | return r; | |
628 | } | |
629 | ||
630 | # ifndef OPENSSL_NO_EC2M | |
631 | ||
632 | static struct c2_curve_test { | |
633 | const char *name; | |
634 | const char *p; | |
635 | const char *a; | |
636 | const char *b; | |
637 | const char *x; | |
638 | const char *y; | |
639 | int ybit; | |
640 | const char *order; | |
641 | const char *cof; | |
642 | int degree; | |
643 | } char2_curve_tests[] = { | |
644 | /* Curve K-163 (FIPS PUB 186-2, App. 6) */ | |
645 | { | |
646 | "NIST curve K-163", | |
647 | "0800000000000000000000000000000000000000C9", | |
648 | "1", | |
649 | "1", | |
650 | "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", | |
651 | "0289070FB05D38FF58321F2E800536D538CCDAA3D9", | |
652 | 1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163 | |
653 | }, | |
654 | /* Curve B-163 (FIPS PUB 186-2, App. 6) */ | |
655 | { | |
656 | "NIST curve B-163", | |
657 | "0800000000000000000000000000000000000000C9", | |
658 | "1", | |
659 | "020A601907B8C953CA1481EB10512F78744A3205FD", | |
660 | "03F0EBA16286A2D57EA0991168D4994637E8343E36", | |
661 | "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", | |
662 | 1, "040000000000000000000292FE77E70C12A4234C33", "2", 163 | |
663 | }, | |
664 | /* Curve K-233 (FIPS PUB 186-2, App. 6) */ | |
665 | { | |
666 | "NIST curve K-233", | |
667 | "020000000000000000000000000000000000000004000000000000000001", | |
668 | "0", | |
669 | "1", | |
670 | "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", | |
671 | "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", | |
672 | 0, | |
673 | "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", | |
674 | "4", 233 | |
675 | }, | |
676 | /* Curve B-233 (FIPS PUB 186-2, App. 6) */ | |
677 | { | |
678 | "NIST curve B-233", | |
679 | "020000000000000000000000000000000000000004000000000000000001", | |
680 | "000000000000000000000000000000000000000000000000000000000001", | |
681 | "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", | |
682 | "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", | |
683 | "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", | |
684 | 1, | |
685 | "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", | |
686 | "2", 233 | |
687 | }, | |
688 | /* Curve K-283 (FIPS PUB 186-2, App. 6) */ | |
689 | { | |
690 | "NIST curve K-283", | |
691 | "08000000" | |
692 | "00000000000000000000000000000000000000000000000000000000000010A1", | |
693 | "0", | |
694 | "1", | |
695 | "0503213F" | |
696 | "78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", | |
697 | "01CCDA38" | |
698 | "0F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", | |
699 | 0, | |
700 | "01FFFFFF" | |
701 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", | |
702 | "4", 283 | |
703 | }, | |
704 | /* Curve B-283 (FIPS PUB 186-2, App. 6) */ | |
705 | { | |
706 | "NIST curve B-283", | |
707 | "08000000" | |
708 | "00000000000000000000000000000000000000000000000000000000000010A1", | |
709 | "00000000" | |
710 | "0000000000000000000000000000000000000000000000000000000000000001", | |
711 | "027B680A" | |
712 | "C8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", | |
713 | "05F93925" | |
714 | "8DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", | |
715 | "03676854" | |
716 | "FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", | |
717 | 1, | |
718 | "03FFFFFF" | |
719 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", | |
720 | "2", 283 | |
721 | }, | |
722 | /* Curve K-409 (FIPS PUB 186-2, App. 6) */ | |
723 | { | |
724 | "NIST curve K-409", | |
725 | "0200000000000000000000000000000000000000" | |
726 | "0000000000000000000000000000000000000000008000000000000000000001", | |
727 | "0", | |
728 | "1", | |
729 | "0060F05F658F49C1AD3AB1890F7184210EFD0987" | |
730 | "E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", | |
731 | "01E369050B7C4E42ACBA1DACBF04299C3460782F" | |
732 | "918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", | |
733 | 1, | |
734 | "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" | |
735 | "FFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", | |
736 | "4", 409 | |
737 | }, | |
738 | /* Curve B-409 (FIPS PUB 186-2, App. 6) */ | |
739 | { | |
740 | "NIST curve B-409", | |
741 | "0200000000000000000000000000000000000000" | |
742 | "0000000000000000000000000000000000000000008000000000000000000001", | |
743 | "0000000000000000000000000000000000000000" | |
744 | "0000000000000000000000000000000000000000000000000000000000000001", | |
745 | "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422E" | |
746 | "F1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", | |
747 | "015D4860D088DDB3496B0C6064756260441CDE4A" | |
748 | "F1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", | |
749 | "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5" | |
750 | "A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", | |
751 | 1, | |
752 | "0100000000000000000000000000000000000000" | |
753 | "00000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", | |
754 | "2", 409 | |
755 | }, | |
756 | /* Curve K-571 (FIPS PUB 186-2, App. 6) */ | |
757 | { | |
758 | "NIST curve K-571", | |
759 | "800000000000000" | |
760 | "0000000000000000000000000000000000000000000000000000000000000000" | |
761 | "0000000000000000000000000000000000000000000000000000000000000425", | |
762 | "0", | |
763 | "1", | |
764 | "026EB7A859923FBC" | |
765 | "82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E6" | |
766 | "47DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", | |
767 | "0349DC807F4FBF37" | |
768 | "4F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA7" | |
769 | "4FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", | |
770 | 0, | |
771 | "0200000000000000" | |
772 | "00000000000000000000000000000000000000000000000000000000131850E1" | |
773 | "F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", | |
774 | "4", 571 | |
775 | }, | |
776 | /* Curve B-571 (FIPS PUB 186-2, App. 6) */ | |
777 | { | |
778 | "NIST curve B-571", | |
779 | "800000000000000" | |
780 | "0000000000000000000000000000000000000000000000000000000000000000" | |
781 | "0000000000000000000000000000000000000000000000000000000000000425", | |
782 | "0000000000000000" | |
783 | "0000000000000000000000000000000000000000000000000000000000000000" | |
784 | "0000000000000000000000000000000000000000000000000000000000000001", | |
785 | "02F40E7E2221F295" | |
786 | "DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA5933" | |
787 | "2BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", | |
788 | "0303001D34B85629" | |
789 | "6C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293" | |
790 | "CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", | |
791 | "037BF27342DA639B" | |
792 | "6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A57" | |
793 | "6291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", | |
794 | 1, | |
795 | "03FFFFFFFFFFFFFF" | |
796 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18" | |
797 | "FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", | |
798 | "2", 571 | |
799 | } | |
800 | }; | |
801 | ||
802 | static int char2_curve_test(int n) | |
803 | { | |
804 | int r = 0; | |
805 | BN_CTX *ctx = NULL; | |
806 | BIGNUM *p = NULL, *a = NULL, *b = NULL; | |
807 | BIGNUM *x = NULL, *y = NULL, *z = NULL, *cof = NULL, *yplusone = NULL; | |
808 | EC_GROUP *group = NULL, *variable = NULL; | |
809 | EC_POINT *P = NULL, *Q = NULL, *R = NULL; | |
810 | const EC_POINT *points[3]; | |
811 | const BIGNUM *scalars[3]; | |
812 | struct c2_curve_test *const test = char2_curve_tests + n; | |
813 | ||
814 | if (!TEST_ptr(ctx = BN_CTX_new()) | |
815 | || !TEST_ptr(p = BN_new()) | |
816 | || !TEST_ptr(a = BN_new()) | |
817 | || !TEST_ptr(b = BN_new()) | |
818 | || !TEST_ptr(x = BN_new()) | |
819 | || !TEST_ptr(y = BN_new()) | |
820 | || !TEST_ptr(z = BN_new()) | |
821 | || !TEST_ptr(yplusone = BN_new()) | |
822 | || !TEST_true(BN_hex2bn(&p, test->p)) | |
823 | || !TEST_true(BN_hex2bn(&a, test->a)) | |
824 | || !TEST_true(BN_hex2bn(&b, test->b)) | |
825 | || !TEST_true(group = EC_GROUP_new(EC_GF2m_simple_method())) | |
826 | || !TEST_true(EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) | |
827 | || !TEST_ptr(P = EC_POINT_new(group)) | |
828 | || !TEST_ptr(Q = EC_POINT_new(group)) | |
829 | || !TEST_ptr(R = EC_POINT_new(group)) | |
830 | || !TEST_true(BN_hex2bn(&x, test->x)) | |
831 | || !TEST_true(BN_hex2bn(&y, test->y)) | |
832 | || !TEST_true(BN_add(yplusone, y, BN_value_one()))) | |
833 | goto err; | |
834 | ||
835 | /* Change test based on whether binary point compression is enabled or not. */ | |
836 | # ifdef OPENSSL_EC_BIN_PT_COMP | |
837 | /* | |
838 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
839 | * and therefore setting the coordinates should fail. | |
840 | */ | |
841 | if (!TEST_false(EC_POINT_set_affine_coordinates_GF2m(group, P, x, yplusone, | |
842 | ctx)) | |
843 | || !TEST_true(EC_POINT_set_compressed_coordinates_GF2m(group, P, x, | |
844 | test->y_bit, | |
845 | ctx)) | |
846 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) | |
847 | || !TEST_true(BN_hex2bn(&z, test->order)) | |
848 | || !TEST_true(BN_hex2bn(&cof, test->cof)) | |
849 | || !TEST_true(EC_GROUP_set_generator(group, P, z, cof)) | |
850 | || !TEST_true(EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, | |
851 | ctx))) | |
852 | goto err; | |
853 | TEST_info("%s -- Generator", test->name); | |
854 | test_output_bignum("x", x); | |
855 | test_output_bignum("y", y); | |
856 | /* G_y value taken from the standard: */ | |
857 | if (!TEST_true(BN_hex2bn(&z, test->y)) | |
858 | || !TEST_BN_eq(y, z)) | |
859 | goto err; | |
860 | # else | |
861 | /* | |
862 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
863 | * and therefore setting the coordinates should fail. | |
864 | */ | |
865 | if (!TEST_false(EC_POINT_set_affine_coordinates_GF2m(group, P, x, yplusone, | |
866 | ctx)) | |
867 | || !TEST_true(EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) | |
868 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) | |
869 | || !TEST_true(BN_hex2bn(&z, test->order)) | |
870 | || !TEST_true(BN_hex2bn(&cof, test->cof)) | |
871 | || !TEST_true(EC_GROUP_set_generator(group, P, z, cof))) | |
872 | goto err; | |
873 | TEST_info("%s -- Generator:", test->name); | |
874 | test_output_bignum("x", x); | |
875 | test_output_bignum("y", y); | |
876 | # endif | |
877 | ||
878 | if (!TEST_int_eq(EC_GROUP_get_degree(group), test->degree) | |
879 | || !group_order_tests(group) | |
880 | || !TEST_ptr(variable = EC_GROUP_new(EC_GROUP_method_of(group))) | |
881 | || !TEST_true(EC_GROUP_copy(variable, group))) | |
882 | goto err; | |
883 | ||
884 | /* more tests using the last curve */ | |
885 | if (n == OSSL_NELEM(char2_curve_tests) - 1) { | |
886 | if (!TEST_true(EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, | |
887 | ctx)) | |
888 | || !TEST_true(EC_POINT_copy(Q, P)) | |
889 | || !TEST_false(EC_POINT_is_at_infinity(group, Q)) | |
890 | || !TEST_true(EC_POINT_dbl(group, P, P, ctx)) | |
891 | || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) | |
892 | || !TEST_true(EC_POINT_invert(group, Q, ctx)) /* P = -2Q */ | |
893 | || !TEST_true(EC_POINT_add(group, R, P, Q, ctx)) | |
894 | || !TEST_true(EC_POINT_add(group, R, R, Q, ctx)) | |
895 | || !TEST_true(EC_POINT_is_at_infinity(group, R)) /* R = P + 2Q */ | |
896 | || !TEST_false(EC_POINT_is_at_infinity(group, Q))) | |
897 | goto err; | |
898 | ||
899 | points[0] = Q; | |
900 | points[1] = Q; | |
901 | points[2] = Q; | |
902 | ||
903 | if (!TEST_true(BN_add(y, z, BN_value_one())) | |
904 | || !TEST_BN_even(y) | |
905 | || !TEST_true(BN_rshift1(y, y))) | |
906 | goto err; | |
907 | scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ | |
908 | scalars[1] = y; | |
909 | ||
910 | TEST_note("combined multiplication ..."); | |
911 | ||
912 | /* z is still the group order */ | |
913 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
914 | || !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) | |
915 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx)) | |
916 | || !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx))) | |
917 | goto err; | |
918 | ||
919 | if (!TEST_true(BN_rand(y, BN_num_bits(y), 0, 0)) | |
920 | || !TEST_true(BN_add(z, z, y))) | |
921 | goto err; | |
922 | BN_set_negative(z, 1); | |
923 | scalars[0] = y; | |
924 | scalars[1] = z; /* z = -(order + y) */ | |
925 | ||
926 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) | |
927 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
928 | goto err; | |
929 | ||
930 | if (!TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0)) | |
931 | || !TEST_true(BN_add(z, x, y))) | |
932 | goto err; | |
933 | BN_set_negative(z, 1); | |
934 | scalars[0] = x; | |
935 | scalars[1] = y; | |
936 | scalars[2] = z; /* z = -(x+y) */ | |
937 | ||
938 | if (!TEST_true(EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) | |
939 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
940 | goto err;; | |
941 | } | |
942 | ||
943 | r = 1; | |
944 | err: | |
945 | BN_CTX_free(ctx); | |
946 | BN_free(p); | |
947 | BN_free(a); | |
948 | BN_free(b); | |
949 | BN_free(x); | |
950 | BN_free(y); | |
951 | BN_free(z); | |
952 | BN_free(yplusone); | |
953 | BN_free(cof); | |
954 | EC_POINT_free(P); | |
955 | EC_POINT_free(Q); | |
956 | EC_POINT_free(R); | |
957 | EC_GROUP_free(group); | |
958 | EC_GROUP_free(variable); | |
959 | return r; | |
960 | } | |
961 | ||
962 | static int char2_field_tests(void) | |
963 | { | |
964 | BN_CTX *ctx = NULL; | |
965 | BIGNUM *p = NULL, *a = NULL, *b = NULL; | |
966 | EC_GROUP *group = NULL, *tmp = NULL; | |
967 | EC_POINT *P = NULL, *Q = NULL, *R = NULL; | |
968 | BIGNUM *x = NULL, *y = NULL, *z = NULL, *cof = NULL, *yplusone = NULL; | |
969 | unsigned char buf[100]; | |
970 | size_t len; | |
971 | int k, r = 0; | |
972 | ||
973 | if (!TEST_ptr(ctx = BN_CTX_new()) | |
974 | || !TEST_ptr(p = BN_new()) | |
975 | || !TEST_ptr(a = BN_new()) | |
976 | || !TEST_ptr(b = BN_new()) | |
977 | || !TEST_true(BN_hex2bn(&p, "13")) | |
978 | || !TEST_true(BN_hex2bn(&a, "3")) | |
979 | || !TEST_true(BN_hex2bn(&b, "1"))) | |
980 | goto err; | |
981 | ||
982 | group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use | |
983 | * EC_GROUP_new_curve_GF2m | |
984 | * so that the library gets | |
985 | * to choose the EC_METHOD */ | |
986 | if (!TEST_ptr(group) | |
987 | || !TEST_true(EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) | |
988 | || !TEST_ptr(tmp = EC_GROUP_new(EC_GROUP_method_of(group))) | |
989 | || !TEST_true(EC_GROUP_copy(tmp, group))) | |
990 | goto err; | |
991 | EC_GROUP_free(group); | |
992 | group = tmp; | |
993 | tmp = NULL; | |
994 | ||
995 | if (!TEST_true(EC_GROUP_get_curve_GF2m(group, p, a, b, ctx))) | |
996 | goto err; | |
997 | ||
998 | TEST_info("Curve defined by Weierstrass equation"); | |
999 | TEST_note(" y^2 + x*y = x^3 + a*x^2 + b (mod p)"); | |
1000 | test_output_bignum("a", a); | |
1001 | test_output_bignum("b", b); | |
1002 | test_output_bignum("p", p); | |
1003 | ||
1004 | if (!TEST_ptr(P = EC_POINT_new(group)) | |
1005 | || !TEST_ptr(Q = EC_POINT_new(group)) | |
1006 | || !TEST_ptr(R = EC_POINT_new(group)) | |
1007 | || !TEST_true(EC_POINT_set_to_infinity(group, P)) | |
1008 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
1009 | goto err; | |
1010 | ||
1011 | buf[0] = 0; | |
1012 | if (!TEST_true(EC_POINT_oct2point(group, Q, buf, 1, ctx)) | |
1013 | || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)) | |
1014 | || !TEST_true(EC_POINT_is_at_infinity(group, P)) | |
1015 | || !TEST_ptr(x = BN_new()) | |
1016 | || !TEST_ptr(y = BN_new()) | |
1017 | || !TEST_ptr(z = BN_new()) | |
1018 | || !TEST_ptr(cof = BN_new()) | |
1019 | || !TEST_ptr(yplusone = BN_new()) | |
1020 | || !TEST_true(BN_hex2bn(&x, "6")) | |
1021 | /* Change test based on whether binary point compression is enabled or not. */ | |
1022 | # ifdef OPENSSL_EC_BIN_PT_COMP | |
1023 | || !TEST_true(EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, | |
1024 | ctx)) | |
1025 | # else | |
1026 | || !TEST_true(BN_hex2bn(&y, "8")) | |
1027 | || !TEST_true(EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) | |
1028 | # endif | |
1029 | ) | |
1030 | goto err; | |
1031 | if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) { | |
1032 | /* Change test based on whether binary point compression is enabled or not. */ | |
1033 | # ifdef OPENSSL_EC_BIN_PT_COMP | |
1034 | if (!TEST_true(EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, | |
1035 | ctx))) | |
1036 | goto err; | |
1037 | # endif | |
1038 | TEST_info("Point is not on curve"); | |
1039 | test_output_bignum("x", x); | |
1040 | test_output_bignum("y", y); | |
1041 | goto err; | |
1042 | } | |
1043 | ||
1044 | TEST_note("A cyclic subgroup:"); | |
1045 | k = 100; | |
1046 | do { | |
1047 | if (!TEST_int_ne(k--, 0)) | |
1048 | goto err; | |
1049 | ||
1050 | if (EC_POINT_is_at_infinity(group, P)) | |
1051 | TEST_note(" point at infinity"); | |
1052 | else { | |
1053 | if (!TEST_true(EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, | |
1054 | ctx))) | |
1055 | goto err; | |
1056 | ||
1057 | test_output_bignum("x", x); | |
1058 | test_output_bignum("y", y); | |
1059 | } | |
1060 | ||
1061 | if (!TEST_true(EC_POINT_copy(R, P)) | |
1062 | || !TEST_true(EC_POINT_add(group, P, P, Q, ctx))) | |
1063 | goto err; | |
1064 | } | |
1065 | while (!EC_POINT_is_at_infinity(group, P)); | |
1066 | ||
1067 | if (!TEST_true(EC_POINT_add(group, P, Q, R, ctx)) | |
1068 | || !TEST_true(EC_POINT_is_at_infinity(group, P))) | |
1069 | goto err; | |
1070 | ||
1071 | /* Change test based on whether binary point compression is enabled or not. */ | |
1072 | # ifdef OPENSSL_EC_BIN_PT_COMP | |
1073 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, | |
1074 | buf, sizeof(buf), ctx); | |
1075 | if (!TEST_size_t_ne(len, 0) | |
1076 | || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1077 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) | |
1078 | goto err; | |
1079 | test_output_memory("Generator as octet string, compressed form:", | |
1080 | buf, len); | |
1081 | # endif | |
1082 | ||
1083 | len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, | |
1084 | buf, sizeof(buf), ctx); | |
1085 | if (!TEST_size_t_ne(len, 0) | |
1086 | || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1087 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) | |
1088 | goto err; | |
1089 | test_output_memory("Generator as octet string, uncompressed form:", | |
1090 | buf, len); | |
1091 | ||
1092 | /* Change test based on whether binary point compression is enabled or not. */ | |
1093 | # ifdef OPENSSL_EC_BIN_PT_COMP | |
1094 | len = | |
1095 | EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof(buf), | |
1096 | ctx); | |
1097 | if (!TEST_size_t_ne(len, 0) | |
1098 | || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) | |
1099 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) | |
1100 | goto err; | |
1101 | test_output_memory("Generator as octet string, hybrid form:", | |
1102 | buf, len); | |
1103 | # endif | |
1104 | ||
1105 | if (!TEST_true(EC_POINT_invert(group, P, ctx)) | |
1106 | || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))) | |
1107 | goto err; | |
1108 | ||
1109 | TEST_note("\n"); | |
1110 | ||
1111 | r = 1; | |
1112 | err: | |
1113 | BN_CTX_free(ctx); | |
1114 | BN_free(p); | |
1115 | BN_free(a); | |
1116 | BN_free(b); | |
1117 | EC_GROUP_free(group); | |
1118 | EC_GROUP_free(tmp); | |
1119 | EC_POINT_free(P); | |
1120 | EC_POINT_free(Q); | |
1121 | EC_POINT_free(R); | |
1122 | BN_free(x); | |
1123 | BN_free(y); | |
1124 | BN_free(z); | |
1125 | BN_free(cof); | |
1126 | BN_free(yplusone); | |
1127 | return r; | |
1128 | } | |
1129 | # endif | |
1130 | ||
1131 | static int internal_curve_test(int n) | |
1132 | { | |
1133 | EC_GROUP *group = NULL; | |
1134 | int nid = curves[n].nid; | |
1135 | ||
1136 | if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) { | |
1137 | TEST_info("EC_GROUP_new_curve_name() failed with curve %s\n", | |
1138 | OBJ_nid2sn(nid)); | |
1139 | return 0; | |
1140 | } | |
1141 | if (!TEST_true(EC_GROUP_check(group, NULL))) { | |
1142 | TEST_info("EC_GROUP_check() failed with curve %s\n", OBJ_nid2sn(nid)); | |
1143 | EC_GROUP_free(group); | |
1144 | return 0; | |
1145 | } | |
1146 | EC_GROUP_free(group); | |
1147 | return 1; | |
1148 | } | |
1149 | ||
1150 | static int internal_curve_test_method(int n) | |
1151 | { | |
1152 | int r, nid = curves[n].nid; | |
1153 | EC_GROUP *group; | |
1154 | ||
1155 | if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) { | |
1156 | TEST_info("Curve %s failed\n", OBJ_nid2sn(nid)); | |
1157 | return 0; | |
1158 | } | |
1159 | r = group_order_tests(group); | |
1160 | EC_GROUP_free(group); | |
1161 | return r; | |
1162 | } | |
1163 | ||
1164 | # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 | |
1165 | /* | |
1166 | * nistp_test_params contains magic numbers for testing our optimized | |
1167 | * implementations of several NIST curves with characteristic > 3. | |
1168 | */ | |
1169 | struct nistp_test_params { | |
1170 | const EC_METHOD *(*meth) (); | |
1171 | int degree; | |
1172 | /* | |
1173 | * Qx, Qy and D are taken from | |
1174 | * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf | |
1175 | * Otherwise, values are standard curve parameters from FIPS 180-3 | |
1176 | */ | |
1177 | const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d; | |
1178 | }; | |
1179 | ||
1180 | static const struct nistp_test_params nistp_tests_params[] = { | |
1181 | { | |
1182 | /* P-224 */ | |
1183 | EC_GFp_nistp224_method, | |
1184 | 224, | |
1185 | /* p */ | |
1186 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", | |
1187 | /* a */ | |
1188 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", | |
1189 | /* b */ | |
1190 | "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", | |
1191 | /* Qx */ | |
1192 | "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", | |
1193 | /* Qy */ | |
1194 | "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", | |
1195 | /* Gx */ | |
1196 | "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", | |
1197 | /* Gy */ | |
1198 | "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", | |
1199 | /* order */ | |
1200 | "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", | |
1201 | /* d */ | |
1202 | "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", | |
1203 | }, | |
1204 | { | |
1205 | /* P-256 */ | |
1206 | EC_GFp_nistp256_method, | |
1207 | 256, | |
1208 | /* p */ | |
1209 | "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", | |
1210 | /* a */ | |
1211 | "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", | |
1212 | /* b */ | |
1213 | "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", | |
1214 | /* Qx */ | |
1215 | "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", | |
1216 | /* Qy */ | |
1217 | "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", | |
1218 | /* Gx */ | |
1219 | "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", | |
1220 | /* Gy */ | |
1221 | "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", | |
1222 | /* order */ | |
1223 | "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", | |
1224 | /* d */ | |
1225 | "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", | |
1226 | }, | |
1227 | { | |
1228 | /* P-521 */ | |
1229 | EC_GFp_nistp521_method, | |
1230 | 521, | |
1231 | /* p */ | |
1232 | "1ff" | |
1233 | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | |
1234 | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", | |
1235 | /* a */ | |
1236 | "1ff" | |
1237 | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | |
1238 | "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", | |
1239 | /* b */ | |
1240 | "051" | |
1241 | "953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e1" | |
1242 | "56193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", | |
1243 | /* Qx */ | |
1244 | "0098" | |
1245 | "e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e" | |
1246 | "59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", | |
1247 | /* Qy */ | |
1248 | "0164" | |
1249 | "350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8" | |
1250 | "554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", | |
1251 | /* Gx */ | |
1252 | "c6" | |
1253 | "858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dba" | |
1254 | "a14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", | |
1255 | /* Gy */ | |
1256 | "118" | |
1257 | "39296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c" | |
1258 | "97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", | |
1259 | /* order */ | |
1260 | "1ff" | |
1261 | "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa" | |
1262 | "51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", | |
1263 | /* d */ | |
1264 | "0100" | |
1265 | "085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eee" | |
1266 | "df09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", | |
1267 | }, | |
1268 | }; | |
1269 | ||
1270 | static int nistp_single_test(int idx) | |
1271 | { | |
1272 | const struct nistp_test_params *test = nistp_tests_params + idx; | |
1273 | BN_CTX *ctx = NULL; | |
1274 | BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL; | |
1275 | BIGNUM *n = NULL, *m = NULL, *order = NULL, *yplusone = NULL; | |
1276 | EC_GROUP *NISTP = NULL; | |
1277 | EC_POINT *G = NULL, *P = NULL, *Q = NULL, *Q_CHECK = NULL; | |
1278 | int r = 0; | |
1279 | ||
1280 | TEST_note("NIST curve P-%d (optimised implementation):", | |
1281 | test->degree); | |
1282 | if (!TEST_ptr(ctx = BN_CTX_new()) | |
1283 | || !TEST_ptr(p = BN_new()) | |
1284 | || !TEST_ptr(a = BN_new()) | |
1285 | || !TEST_ptr(b = BN_new()) | |
1286 | || !TEST_ptr(x = BN_new()) | |
1287 | || !TEST_ptr(y = BN_new()) | |
1288 | || !TEST_ptr(m = BN_new()) | |
1289 | || !TEST_ptr(n = BN_new()) | |
1290 | || !TEST_ptr(order = BN_new()) | |
1291 | || !TEST_ptr(yplusone = BN_new()) | |
1292 | ||
1293 | || !TEST_ptr(NISTP = EC_GROUP_new(test->meth())) | |
1294 | || !TEST_true(BN_hex2bn(&p, test->p)) | |
1295 | || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) | |
1296 | || !TEST_true(BN_hex2bn(&a, test->a)) | |
1297 | || !TEST_true(BN_hex2bn(&b, test->b)) | |
1298 | || !TEST_true(EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) | |
1299 | || !TEST_ptr(G = EC_POINT_new(NISTP)) | |
1300 | || !TEST_ptr(P = EC_POINT_new(NISTP)) | |
1301 | || !TEST_ptr(Q = EC_POINT_new(NISTP)) | |
1302 | || !TEST_ptr(Q_CHECK = EC_POINT_new(NISTP)) | |
1303 | || !TEST_true(BN_hex2bn(&x, test->Qx)) | |
1304 | || !TEST_true(BN_hex2bn(&y, test->Qy)) | |
1305 | || !TEST_true(BN_add(yplusone, y, BN_value_one())) | |
1306 | /* | |
1307 | * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, | |
1308 | * and therefore setting the coordinates should fail. | |
1309 | */ | |
1310 | || !TEST_false(EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, | |
1311 | yplusone, ctx)) | |
1312 | || !TEST_true(EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, | |
1313 | ctx)) | |
1314 | || !TEST_true(BN_hex2bn(&x, test->Gx)) | |
1315 | || !TEST_true(BN_hex2bn(&y, test->Gy)) | |
1316 | || !TEST_true(EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) | |
1317 | || !TEST_true(BN_hex2bn(&order, test->order)) | |
1318 | || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) | |
1319 | || !TEST_int_eq(EC_GROUP_get_degree(NISTP), test->degree)) | |
1320 | goto err; | |
1321 | ||
1322 | TEST_note("NIST test vectors ... "); | |
1323 | if (!TEST_true(BN_hex2bn(&n, test->d))) | |
1324 | goto err; | |
1325 | /* fixed point multiplication */ | |
1326 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); | |
1327 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) | |
1328 | goto err; | |
1329 | /* random point multiplication */ | |
1330 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); | |
1331 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1332 | ||
1333 | /* set generator to P = 2*G, where G is the standard generator */ | |
1334 | || !TEST_true(EC_POINT_dbl(NISTP, P, G, ctx)) | |
1335 | || !TEST_true(EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) | |
1336 | /* set the scalar to m=n/2, where n is the NIST test scalar */ | |
1337 | || !TEST_true(BN_rshift(m, n, 1))) | |
1338 | goto err; | |
1339 | ||
1340 | /* test the non-standard generator */ | |
1341 | /* fixed point multiplication */ | |
1342 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); | |
1343 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) | |
1344 | goto err; | |
1345 | /* random point multiplication */ | |
1346 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); | |
1347 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1348 | ||
1349 | /* | |
1350 | * We have not performed precomputation so have_precompute mult should be | |
1351 | * false | |
1352 | */ | |
1353 | || !TEST_false(EC_GROUP_have_precompute_mult(NISTP)) | |
1354 | ||
1355 | /* now repeat all tests with precomputation */ | |
1356 | || !TEST_true(EC_GROUP_precompute_mult(NISTP, ctx)) | |
1357 | || !TEST_true(EC_GROUP_have_precompute_mult(NISTP))) | |
1358 | goto err; | |
1359 | ||
1360 | /* fixed point multiplication */ | |
1361 | EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); | |
1362 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) | |
1363 | goto err; | |
1364 | /* random point multiplication */ | |
1365 | EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); | |
1366 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) | |
1367 | ||
1368 | /* reset generator */ | |
1369 | || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))) | |
1370 | goto err; | |
1371 | /* fixed point multiplication */ | |
1372 | EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); | |
1373 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) | |
1374 | goto err; | |
1375 | /* random point multiplication */ | |
1376 | EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); | |
1377 | if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) | |
1378 | goto err; | |
1379 | ||
1380 | r = group_order_tests(NISTP); | |
1381 | err: | |
1382 | EC_GROUP_free(NISTP); | |
1383 | EC_POINT_free(G); | |
1384 | EC_POINT_free(P); | |
1385 | EC_POINT_free(Q); | |
1386 | EC_POINT_free(Q_CHECK); | |
1387 | BN_free(n); | |
1388 | BN_free(m); | |
1389 | BN_free(p); | |
1390 | BN_free(a); | |
1391 | BN_free(b); | |
1392 | BN_free(x); | |
1393 | BN_free(y); | |
1394 | BN_free(order); | |
1395 | BN_free(yplusone); | |
1396 | BN_CTX_free(ctx); | |
1397 | return r; | |
1398 | } | |
1399 | # endif | |
1400 | ||
1401 | static int parameter_test(void) | |
1402 | { | |
1403 | EC_GROUP *group = NULL, *group2 = NULL; | |
1404 | ECPARAMETERS *ecparameters = NULL; | |
1405 | int r; | |
1406 | ||
1407 | r = TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp112r1)) | |
1408 | && TEST_ptr(ecparameters = EC_GROUP_get_ecparameters(group, NULL)) | |
1409 | && TEST_ptr(group2 = EC_GROUP_new_from_ecparameters(ecparameters)) | |
1410 | && TEST_int_eq(EC_GROUP_cmp(group, group2, NULL), 0); | |
1411 | ||
1412 | EC_GROUP_free(group); | |
1413 | EC_GROUP_free(group2); | |
1414 | ECPARAMETERS_free(ecparameters); | |
1415 | return r; | |
1416 | } | |
1417 | #endif | |
1418 | ||
1419 | int setup_tests(void) | |
1420 | { | |
1421 | #ifndef OPENSSL_NO_EC | |
1422 | crv_len = EC_get_builtin_curves(NULL, 0); | |
1423 | if (!TEST_ptr(curves = OPENSSL_malloc(sizeof(*curves) * crv_len)) | |
1424 | || !TEST_true(EC_get_builtin_curves(curves, crv_len))) | |
1425 | return 0; | |
1426 | ||
1427 | ADD_TEST(parameter_test); | |
1428 | ADD_TEST(prime_field_tests); | |
1429 | # ifndef OPENSSL_NO_EC2M | |
1430 | ADD_TEST(char2_field_tests); | |
1431 | ADD_ALL_TESTS(char2_curve_test, OSSL_NELEM(char2_curve_tests)); | |
1432 | # endif | |
1433 | # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 | |
1434 | ADD_ALL_TESTS(nistp_single_test, OSSL_NELEM(nistp_tests_params)); | |
1435 | # endif | |
1436 | ADD_ALL_TESTS(internal_curve_test, crv_len); | |
1437 | ADD_ALL_TESTS(internal_curve_test_method, crv_len); | |
1438 | #endif | |
1439 | return 1; | |
1440 | } | |
1441 | ||
1442 | void cleanup_tests(void) | |
1443 | { | |
1444 | #ifndef OPENSSL_NO_EC | |
1445 | OPENSSL_free(curves); | |
1446 | #endif | |
1447 | } |