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[thirdparty/openssl.git] / test / ectest.c
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 Apache License 2.0 (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 <string.h>
12 #include "internal/nelem.h"
13 #include "testutil.h"
14
15 #ifndef OPENSSL_NO_EC
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
27 static size_t crv_len = 0;
28 static EC_builtin_curve *curves = NULL;
29
30 /* test multiplication with group order, long and negative scalars */
31 static int group_order_tests(EC_GROUP *group)
32 {
33 BIGNUM *n1 = NULL, *n2 = NULL, *order = NULL;
34 EC_POINT *P = NULL, *Q = NULL, *R = NULL, *S = NULL;
35 const EC_POINT *G = NULL;
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())
43 || !TEST_ptr(G = EC_GROUP_get0_generator(group))
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))
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)))
64 goto err;
65
66 for (i = 1; i <= 2; i++) {
67 const BIGNUM *scalars[6];
68 const EC_POINT *points[6];
69
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))
76 || (i == 1 && !TEST_int_eq(0, EC_POINT_cmp(group, P, G, ctx)))
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;
93
94 /* n2 = order^2 - 1 */
95 BN_set_negative(n2, 0);
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;
104
105 scalars[0] = scalars[1] = BN_value_one();
106 points[0] = points[1] = P;
107
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;
112
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 */
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;
128 }
129
130 r = 1;
131 err:
132 if (r == 0 && i != 0)
133 TEST_info(i == 1 ? "allowing precomputation" :
134 "without precomputation");
135 EC_POINT_free(P);
136 EC_POINT_free(Q);
137 EC_POINT_free(R);
138 EC_POINT_free(S);
139 BN_free(n1);
140 BN_free(n2);
141 BN_free(order);
142 BN_CTX_free(ctx);
143 return r;
144 }
145
146 static int prime_field_tests(void)
147 {
148 BN_CTX *ctx = NULL;
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];
157 unsigned char buf[100];
158 size_t len, r = 0;
159 int k;
160
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()))
173 || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
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
181 if (!TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx)))
182 goto err;
183
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);
189
190 buf[0] = 0;
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"))
204 || !TEST_true(EC_POINT_set_compressed_coordinates(group, Q, x, 1, ctx)))
205 goto err;
206
207 if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) {
208 if (!TEST_true(EC_POINT_get_affine_coordinates(group, Q, x, y, ctx)))
209 goto err;
210 TEST_info("Point is not on curve");
211 test_output_bignum("x", x);
212 test_output_bignum("y", y);
213 goto err;
214 }
215
216 TEST_note("A cyclic subgroup:");
217 k = 100;
218 do {
219 if (!TEST_int_ne(k--, 0))
220 goto err;
221
222 if (EC_POINT_is_at_infinity(group, P)) {
223 TEST_note(" point at infinity");
224 } else {
225 if (!TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y,
226 ctx)))
227 goto err;
228
229 test_output_bignum("x", x);
230 test_output_bignum("y", y);
231 }
232
233 if (!TEST_true(EC_POINT_copy(R, P))
234 || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)))
235 goto err;
236
237 } while (!EC_POINT_is_at_infinity(group, P));
238
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;
242
243 len =
244 EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
245 sizeof(buf), ctx);
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;
250 test_output_memory("Generator as octet string, compressed form:",
251 buf, len);
252
253 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED,
254 buf, sizeof(buf), ctx);
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;
259 test_output_memory("Generator as octet string, uncompressed form:",
260 buf, len);
261
262 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID,
263 buf, sizeof(buf), ctx);
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;
268 test_output_memory("Generator as octet string, hybrid form:",
269 buf, len);
270
271 if (!TEST_true(EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z,
272 ctx)))
273 goto err;
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);
279
280 if (!TEST_true(EC_POINT_invert(group, P, ctx))
281 || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))
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
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"))
295 || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
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()))
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 */
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))
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()))
312 || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
313 goto err;
314 TEST_info("SEC2 curve secp160r1 -- Generator");
315 test_output_bignum("x", x);
316 test_output_bignum("y", y);
317 /* G_y value taken from the standard: */
318 if (!TEST_true(BN_hex2bn(&z, "23a62855"
319 "3168947d59dcc912042351377ac5fb32"))
320 || !TEST_BN_eq(y, z)
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))
325
326 /* Curve P-192 (FIPS PUB 186-2, App. 6) */
327
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"))
335 || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
336 || !TEST_true(BN_hex2bn(&x, "188DA80EB03090F6"
337 "7CBF20EB43A18800F4FF0AFD82FF1012"))
338 || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx))
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()))
343 || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
344 goto err;
345
346 TEST_info("NIST curve P-192 -- Generator");
347 test_output_bignum("x", x);
348 test_output_bignum("y", y);
349 /* G_y value taken from the standard: */
350 if (!TEST_true(BN_hex2bn(&z, "07192B95FFC8DA78"
351 "631011ED6B24CDD573F977A11E794811"))
352 || !TEST_BN_eq(y, z)
353 || !TEST_true(BN_add(yplusone, y, BN_value_one()))
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 */
358 || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
359 ctx))
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))
364
365 /* Curve P-224 (FIPS PUB 186-2, App. 6) */
366
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"))
374 || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
375 || !TEST_true(BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B9"
376 "4A03C1D356C21122343280D6115C1D21"))
377 || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 0, ctx))
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()))
382 || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
383 goto err;
384
385 TEST_info("NIST curve P-224 -- Generator");
386 test_output_bignum("x", x);
387 test_output_bignum("y", y);
388 /* G_y value taken from the standard: */
389 if (!TEST_true(BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6"
390 "CD4375A05A07476444D5819985007E34"))
391 || !TEST_BN_eq(y, z)
392 || !TEST_true(BN_add(yplusone, y, BN_value_one()))
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 */
397 || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
398 ctx))
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))
403
404 /* Curve P-256 (FIPS PUB 186-2, App. 6) */
405
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"))
413 || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
414
415 || !TEST_true(BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F2"
416 "77037D812DEB33A0F4A13945D898C296"))
417 || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx))
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()))
422 || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
423 goto err;
424
425 TEST_info("NIST curve P-256 -- Generator");
426 test_output_bignum("x", x);
427 test_output_bignum("y", y);
428 /* G_y value taken from the standard: */
429 if (!TEST_true(BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E16"
430 "2BCE33576B315ECECBB6406837BF51F5"))
431 || !TEST_BN_eq(y, z)
432 || !TEST_true(BN_add(yplusone, y, BN_value_one()))
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 */
437 || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
438 ctx))
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))
443
444 /* Curve P-384 (FIPS PUB 186-2, App. 6) */
445
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"))
456 || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
457
458 || !TEST_true(BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD74"
459 "6E1D3B628BA79B9859F741E082542A38"
460 "5502F25DBF55296C3A545E3872760AB7"))
461 || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx))
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()))
467 || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
468 goto err;
469
470 TEST_info("NIST curve P-384 -- Generator");
471 test_output_bignum("x", x);
472 test_output_bignum("y", y);
473 /* G_y value taken from the standard: */
474 if (!TEST_true(BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29"
475 "F8F41DBD289A147CE9DA3113B5F0B8C0"
476 "0A60B1CE1D7E819D7A431D7C90EA0E5F"))
477 || !TEST_BN_eq(y, z)
478 || !TEST_true(BN_add(yplusone, y, BN_value_one()))
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 */
483 || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
484 ctx))
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))
489
490 /* Curve P-521 (FIPS PUB 186-2, App. 6) */
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"))
507 || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
508 || !TEST_true(BN_hex2bn(&x, "C6"
509 "858E06B70404E9CD9E3ECB662395B442"
510 "9C648139053FB521F828AF606B4D3DBA"
511 "A14B5E77EFE75928FE1DC127A2FFA8DE"
512 "3348B3C1856A429BF97E7E31C2E5BD66"))
513 || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 0, ctx))
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()))
521 || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
522 goto err;
523
524 TEST_info("NIST curve P-521 -- Generator");
525 test_output_bignum("x", x);
526 test_output_bignum("y", y);
527 /* G_y value taken from the standard: */
528 if (!TEST_true(BN_hex2bn(&z, "118"
529 "39296A789A3BC0045C8A5FB42C7D1BD9"
530 "98F54449579B446817AFBD17273E662C"
531 "97EE72995EF42640C550B9013FAD0761"
532 "353C7086A272C24088BE94769FD16650"))
533 || !TEST_BN_eq(y, z)
534 || !TEST_true(BN_add(yplusone, y, BN_value_one()))
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 */
539 || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone,
540 ctx))
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))
545
546 /* more tests using the last curve */
547
548 /* Restore the point that got mangled in the (x, y + 1) test. */
549 || !TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx))
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()))
567 || !TEST_BN_even(y)
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
573 TEST_note("combined multiplication ...");
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))
580 || !TEST_true(BN_rand(y, BN_num_bits(y), 0, 0))
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))
589 || !TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0))
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
606 TEST_note(" ok\n");
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
636
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) */
782 {
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()))
831 || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
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 */
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))
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))
854 || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx)))
855 goto err;
856 TEST_info("%s -- Generator", test->name);
857 test_output_bignum("x", x);
858 test_output_bignum("y", y);
859 /* G_y value taken from the standard: */
860 if (!TEST_true(BN_hex2bn(&z, test->y))
861 || !TEST_BN_eq(y, z))
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 */
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))
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;
875 TEST_info("%s -- Generator:", test->name);
876 test_output_bignum("x", x);
877 test_output_bignum("y", y);
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) {
888 if (!TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx))
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;
899
900 points[0] = Q;
901 points[1] = Q;
902 points[2] = Q;
903
904 if (!TEST_true(BN_add(y, z, BN_value_one()))
905 || !TEST_BN_even(y)
906 || !TEST_true(BN_rshift1(y, y)))
907 goto err;
908 scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
909 scalars[1] = y;
910
911 TEST_note("combined multiplication ...");
912
913 /* z is still the group order */
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
920 if (!TEST_true(BN_rand(y, BN_num_bits(y), 0, 0))
921 || !TEST_true(BN_add(z, z, y)))
922 goto err;
923 BN_set_negative(z, 1);
924 scalars[0] = y;
925 scalars[1] = z; /* z = -(order + y) */
926
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;
930
931 if (!TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0))
932 || !TEST_true(BN_add(z, x, y)))
933 goto err;
934 BN_set_negative(z, 1);
935 scalars[0] = x;
936 scalars[1] = y;
937 scalars[2] = z; /* z = -(x+y) */
938
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;;
942 }
943
944 r = 1;
945 err:
946 BN_CTX_free(ctx);
947 BN_free(p);
948 BN_free(a);
949 BN_free(b);
950 BN_free(x);
951 BN_free(y);
952 BN_free(z);
953 BN_free(yplusone);
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;
961 }
962
963 static int char2_field_tests(void)
964 {
965 BN_CTX *ctx = NULL;
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;
970 unsigned char buf[100];
971 size_t len;
972 int k, r = 0;
973
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;
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 */
987 if (!TEST_ptr(group)
988 || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx))
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
996 if (!TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx)))
997 goto err;
998
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);
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;
1011
1012 buf[0] = 0;
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"))
1022 /* Change test based on whether binary point compression is enabled or not. */
1023 # ifdef OPENSSL_EC_BIN_PT_COMP
1024 || !TEST_true(EC_POINT_set_compressed_coordinates(group, Q, x, 1, ctx))
1025 # else
1026 || !TEST_true(BN_hex2bn(&y, "8"))
1027 || !TEST_true(EC_POINT_set_affine_coordinates(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(group, Q, x, y, ctx)))
1035 goto err;
1036 # endif
1037 TEST_info("Point is not on curve");
1038 test_output_bignum("x", x);
1039 test_output_bignum("y", y);
1040 goto err;
1041 }
1042
1043 TEST_note("A cyclic subgroup:");
1044 k = 100;
1045 do {
1046 if (!TEST_int_ne(k--, 0))
1047 goto err;
1048
1049 if (EC_POINT_is_at_infinity(group, P))
1050 TEST_note(" point at infinity");
1051 else {
1052 if (!TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y,
1053 ctx)))
1054 goto err;
1055
1056 test_output_bignum("x", x);
1057 test_output_bignum("y", y);
1058 }
1059
1060 if (!TEST_true(EC_POINT_copy(R, P))
1061 || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)))
1062 goto err;
1063 }
1064 while (!EC_POINT_is_at_infinity(group, P));
1065
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;
1069
1070 /* Change test based on whether binary point compression is enabled or not. */
1071 # ifdef OPENSSL_EC_BIN_PT_COMP
1072 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED,
1073 buf, sizeof(buf), ctx);
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;
1078 test_output_memory("Generator as octet string, compressed form:",
1079 buf, len);
1080 # endif
1081
1082 len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED,
1083 buf, sizeof(buf), ctx);
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;
1088 test_output_memory("Generator as octet string, uncompressed form:",
1089 buf, len);
1090
1091 /* Change test based on whether binary point compression is enabled or not. */
1092 # ifdef OPENSSL_EC_BIN_PT_COMP
1093 len =
1094 EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof(buf),
1095 ctx);
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;
1100 test_output_memory("Generator as octet string, hybrid form:",
1101 buf, len);
1102 # endif
1103
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;
1107
1108 TEST_note("\n");
1109
1110 r = 1;
1111 err:
1112 BN_CTX_free(ctx);
1113 BN_free(p);
1114 BN_free(a);
1115 BN_free(b);
1116 EC_GROUP_free(group);
1117 EC_GROUP_free(tmp);
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);
1125 BN_free(yplusone);
1126 return r;
1127 }
1128 # endif
1129
1130 static int internal_curve_test(int n)
1131 {
1132 EC_GROUP *group = NULL;
1133 int nid = curves[n].nid;
1134
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;
1139 }
1140 if (!TEST_true(EC_GROUP_check(group, NULL))) {
1141 TEST_info("EC_GROUP_check() failed with curve %s\n", OBJ_nid2sn(nid));
1142 EC_GROUP_free(group);
1143 return 0;
1144 }
1145 EC_GROUP_free(group);
1146 return 1;
1147 }
1148
1149 static int internal_curve_test_method(int n)
1150 {
1151 int r, nid = curves[n].nid;
1152 EC_GROUP *group;
1153
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;
1161 }
1162
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(&sect163r2_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
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 {
1206 const EC_METHOD *(*meth) (void);
1207 int degree;
1208 /*
1209 * Qx, Qy and D are taken from
1210 * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
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 */
1268 "1ff"
1269 "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
1270 "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
1271 /* a */
1272 "1ff"
1273 "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
1274 "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc",
1275 /* b */
1276 "051"
1277 "953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e1"
1278 "56193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00",
1279 /* Qx */
1280 "0098"
1281 "e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e"
1282 "59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4",
1283 /* Qy */
1284 "0164"
1285 "350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8"
1286 "554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e",
1287 /* Gx */
1288 "c6"
1289 "858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dba"
1290 "a14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66",
1291 /* Gy */
1292 "118"
1293 "39296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c"
1294 "97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
1295 /* order */
1296 "1ff"
1297 "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa"
1298 "51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409",
1299 /* d */
1300 "0100"
1301 "085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eee"
1302 "df09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722",
1303 },
1304 };
1305
1306 static int nistp_single_test(int idx)
1307 {
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;
1315
1316 TEST_note("NIST curve P-%d (optimised implementation):",
1317 test->degree);
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))
1334 || !TEST_true(EC_GROUP_set_curve(NISTP, p, a, b, ctx))
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()))
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 */
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))
1350 || !TEST_true(BN_hex2bn(&x, test->Gx))
1351 || !TEST_true(BN_hex2bn(&y, test->Gy))
1352 || !TEST_true(EC_POINT_set_affine_coordinates(NISTP, G, x, y, ctx))
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
1358 TEST_note("NIST test vectors ... ");
1359 if (!TEST_true(BN_hex2bn(&n, test->d)))
1360 goto err;
1361 /* fixed point multiplication */
1362 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1363 if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1364 goto err;
1365 /* random point multiplication */
1366 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
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;
1375
1376 /* test the non-standard generator */
1377 /* fixed point multiplication */
1378 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1379 if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1380 goto err;
1381 /* random point multiplication */
1382 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1383 if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1384
1385 /*
1386 * We have not performed precomputation so have_precompute mult should be
1387 * false
1388 */
1389 || !TEST_false(EC_GROUP_have_precompute_mult(NISTP))
1390
1391 /* now repeat all tests with precomputation */
1392 || !TEST_true(EC_GROUP_precompute_mult(NISTP, ctx))
1393 || !TEST_true(EC_GROUP_have_precompute_mult(NISTP)))
1394 goto err;
1395
1396 /* fixed point multiplication */
1397 EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1398 if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1399 goto err;
1400 /* random point multiplication */
1401 EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1402 if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))
1403
1404 /* reset generator */
1405 || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one())))
1406 goto err;
1407 /* fixed point multiplication */
1408 EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1409 if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1410 goto err;
1411 /* random point multiplication */
1412 EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1413 if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)))
1414 goto err;
1415
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
1425 r = group_order_tests(NISTP);
1426 err:
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);
1440 BN_free(yplusone);
1441 BN_CTX_free(ctx);
1442 return r;
1443 }
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);
1507 EC_POINT_free(R);
1508 EC_GROUP_free(grp);
1509 BN_CTX_free(ctx);
1510
1511 return testresult;
1512 }
1513 # endif
1514
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
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)
1566 {
1567 int ret = 0, nid, field_nid, has_seed;
1568 EC_GROUP *group = NULL, *gtest = NULL;
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
1605 /* Determine if the built-in curve has a seed field set */
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 */
1628 if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid)
1629 /* Only NIST curves pass */
1630 || !TEST_int_eq(EC_GROUP_check_named_curve(group, 1, NULL),
1631 EC_curve_nid2nist(nid) != NULL ? nid : NID_undef))
1632 goto err;
1633
1634 /* Fail if the curve name doesn't match the parameters */
1635 EC_GROUP_set_curve_name(group, nid + 1);
1636 ERR_set_mark();
1637 if (!TEST_int_le(EC_GROUP_check_named_curve(group, 0, NULL), 0))
1638 goto err;
1639 ERR_pop_to_mark();
1640
1641 /* Restore curve name and ensure it's passing */
1642 EC_GROUP_set_curve_name(group, nid);
1643 if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid))
1644 goto err;
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 /*
1652 * If the built-in curve has a seed and we set the seed to another value
1653 * then it will fail the check.
1654 */
1655 if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), 0))
1656 goto err;
1657 } else {
1658 /*
1659 * If the built-in curve does not have a seed then setting the seed will
1660 * pass the check (as the seed is optional).
1661 */
1662 if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid))
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)
1667 || !TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid))
1668 goto err;
1669
1670 /* Check that a duped group passes */
1671 if (!TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid))
1672 goto err;
1673
1674 /* check that changing any generator parameter fails */
1675 if (!TEST_true(EC_GROUP_set_generator(gtest, other_gen, group_order,
1676 group_cofactor))
1677 || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), 0)
1678 || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, other_order,
1679 group_cofactor))
1680 || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), 0)
1681 /* The order is not an optional field, so this should fail */
1682 || !TEST_false(EC_GROUP_set_generator(gtest, group_gen, NULL,
1683 group_cofactor))
1684 || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order,
1685 other_cofactor))
1686 || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), 0)
1687 /* Check that if the cofactor is not set then it still passes */
1688 || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order,
1689 NULL))
1690 || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid)
1691 /* check that restoring the generator passes */
1692 || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order,
1693 group_cofactor))
1694 || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid))
1695 goto err;
1696
1697 /*
1698 * check that changing any curve parameter fails
1699 *
1700 * Setting arbitrary p, a or b might fail for some EC_GROUPs
1701 * depending on the internal EC_METHOD implementation, hence run
1702 * these tests conditionally to the success of EC_GROUP_set_curve().
1703 */
1704 ERR_set_mark();
1705 if (EC_GROUP_set_curve(gtest, other_p, group_a, group_b, NULL)) {
1706 if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0))
1707 goto err;
1708 } else {
1709 /* clear the error stack if EC_GROUP_set_curve() failed */
1710 ERR_pop_to_mark();
1711 ERR_set_mark();
1712 }
1713 if (EC_GROUP_set_curve(gtest, group_p, other_a, group_b, NULL)) {
1714 if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0))
1715 goto err;
1716 } else {
1717 /* clear the error stack if EC_GROUP_set_curve() failed */
1718 ERR_pop_to_mark();
1719 ERR_set_mark();
1720 }
1721 if (EC_GROUP_set_curve(gtest, group_p, group_a, other_b, NULL)) {
1722 if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0))
1723 goto err;
1724 } else {
1725 /* clear the error stack if EC_GROUP_set_curve() failed */
1726 ERR_pop_to_mark();
1727 ERR_set_mark();
1728 }
1729 ERR_pop_to_mark();
1730
1731 /* Check that restoring the curve parameters passes */
1732 if (!TEST_true(EC_GROUP_set_curve(gtest, group_p, group_a, group_b, NULL))
1733 || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid))
1734 goto err;
1735
1736 ret = 1;
1737 err:
1738 BN_free(group_p);
1739 BN_free(other_p);
1740 BN_free(group_a);
1741 BN_free(other_a);
1742 BN_free(group_b);
1743 BN_free(other_b);
1744 BN_free(group_cofactor);
1745 BN_free(other_cofactor);
1746 BN_free(other_order);
1747 EC_POINT_free(other_gen);
1748 EC_GROUP_free(gtest);
1749 EC_GROUP_free(group);
1750 BN_CTX_free(bn_ctx);
1751 return ret;
1752 }
1753
1754 /*
1755 * This checks the lookup capability of EC_GROUP_check_named_curve()
1756 * when the given group was created with explicit parameters.
1757 *
1758 * It is possible to retrieve an alternative alias that does not match
1759 * the original nid in this case.
1760 */
1761 static int check_named_curve_lookup_test(int id)
1762 {
1763 int ret = 0, nid, rv = 0;
1764 EC_GROUP *g = NULL , *ga = NULL;
1765 ECPARAMETERS *p = NULL, *pa = NULL;
1766 BN_CTX *ctx = NULL;
1767
1768 /* Do some setup */
1769 nid = curves[id].nid;
1770 if (!TEST_ptr(ctx = BN_CTX_new())
1771 || !TEST_ptr(g = EC_GROUP_new_by_curve_name(nid))
1772 || !TEST_ptr(p = EC_GROUP_get_ecparameters(g, NULL)))
1773 goto err;
1774
1775 /* replace with group from explicit parameters */
1776 EC_GROUP_free(g);
1777 if (!TEST_ptr(g = EC_GROUP_new_from_ecparameters(p)))
1778 goto err;
1779
1780 if (!TEST_int_gt(rv = EC_GROUP_check_named_curve(g, 0, NULL), 0))
1781 goto err;
1782 if (rv != nid) {
1783 /*
1784 * Found an alias:
1785 * fail if the returned nid is not an alias of the original group.
1786 *
1787 * The comparison here is done by comparing two explicit
1788 * parameter EC_GROUPs with EC_GROUP_cmp(), to ensure the
1789 * comparison happens with unnamed EC_GROUPs using the same
1790 * EC_METHODs.
1791 */
1792 if (!TEST_ptr(ga = EC_GROUP_new_by_curve_name(rv))
1793 || !TEST_ptr(pa = EC_GROUP_get_ecparameters(ga, NULL)))
1794 goto err;
1795
1796 /* replace with group from explicit parameters, then compare */
1797 EC_GROUP_free(ga);
1798 if (!TEST_ptr(ga = EC_GROUP_new_from_ecparameters(pa))
1799 || !TEST_int_eq(EC_GROUP_cmp(g, ga, ctx), 0))
1800 goto err;
1801 }
1802
1803 ret = 1;
1804
1805 err:
1806 EC_GROUP_free(g);
1807 EC_GROUP_free(ga);
1808 ECPARAMETERS_free(p);
1809 ECPARAMETERS_free(pa);
1810 BN_CTX_free(ctx);
1811
1812 return ret;
1813 }
1814
1815 /*
1816 * Sometime we cannot compare nids for equality, as the built-in curve table
1817 * includes aliases with different names for the same curve.
1818 *
1819 * This function returns TRUE (1) if the checked nids are identical, or if they
1820 * alias to the same curve. FALSE (0) otherwise.
1821 */
1822 static ossl_inline
1823 int are_ec_nids_compatible(int n1d, int n2d)
1824 {
1825 int ret = 0;
1826 switch (n1d) {
1827 # ifndef OPENSSL_NO_EC2M
1828 case NID_sect113r1:
1829 case NID_wap_wsg_idm_ecid_wtls4:
1830 ret = (n2d == NID_sect113r1 || n2d == NID_wap_wsg_idm_ecid_wtls4);
1831 break;
1832 case NID_sect163k1:
1833 case NID_wap_wsg_idm_ecid_wtls3:
1834 ret = (n2d == NID_sect163k1 || n2d == NID_wap_wsg_idm_ecid_wtls3);
1835 break;
1836 case NID_sect233k1:
1837 case NID_wap_wsg_idm_ecid_wtls10:
1838 ret = (n2d == NID_sect233k1 || n2d == NID_wap_wsg_idm_ecid_wtls10);
1839 break;
1840 case NID_sect233r1:
1841 case NID_wap_wsg_idm_ecid_wtls11:
1842 ret = (n2d == NID_sect233r1 || n2d == NID_wap_wsg_idm_ecid_wtls11);
1843 break;
1844 case NID_X9_62_c2pnb163v1:
1845 case NID_wap_wsg_idm_ecid_wtls5:
1846 ret = (n2d == NID_X9_62_c2pnb163v1
1847 || n2d == NID_wap_wsg_idm_ecid_wtls5);
1848 break;
1849 # endif /* OPENSSL_NO_EC2M */
1850 case NID_secp112r1:
1851 case NID_wap_wsg_idm_ecid_wtls6:
1852 ret = (n2d == NID_secp112r1 || n2d == NID_wap_wsg_idm_ecid_wtls6);
1853 break;
1854 case NID_secp160r2:
1855 case NID_wap_wsg_idm_ecid_wtls7:
1856 ret = (n2d == NID_secp160r2 || n2d == NID_wap_wsg_idm_ecid_wtls7);
1857 break;
1858 # ifdef OPENSSL_NO_EC_NISTP_64_GCC_128
1859 case NID_secp224r1:
1860 case NID_wap_wsg_idm_ecid_wtls12:
1861 ret = (n2d == NID_secp224r1 || n2d == NID_wap_wsg_idm_ecid_wtls12);
1862 break;
1863 # else
1864 /*
1865 * For SEC P-224 we want to ensure that the SECP nid is returned, as
1866 * that is associated with a specialized method.
1867 */
1868 case NID_wap_wsg_idm_ecid_wtls12:
1869 ret = (n2d == NID_secp224r1);
1870 break;
1871 # endif /* def(OPENSSL_NO_EC_NISTP_64_GCC_128) */
1872
1873 default:
1874 ret = (n1d == n2d);
1875 }
1876 return ret;
1877 }
1878
1879 /*
1880 * This checks that EC_GROUP_bew_from_ecparameters() returns a "named"
1881 * EC_GROUP for built-in curves.
1882 *
1883 * Note that it is possible to retrieve an alternative alias that does not match
1884 * the original nid.
1885 *
1886 * Ensure that the OPENSSL_EC_EXPLICIT_CURVE ASN1 flag is set.
1887 */
1888 static int check_named_curve_from_ecparameters(int id)
1889 {
1890 int ret = 0, nid, tnid;
1891 EC_GROUP *group = NULL, *tgroup = NULL, *tmpg = NULL;
1892 const EC_POINT *group_gen = NULL;
1893 EC_POINT *other_gen = NULL;
1894 BIGNUM *group_cofactor = NULL, *other_cofactor = NULL;
1895 BIGNUM *other_gen_x = NULL, *other_gen_y = NULL;
1896 const BIGNUM *group_order = NULL;
1897 BIGNUM *other_order = NULL;
1898 BN_CTX *bn_ctx = NULL;
1899 static const unsigned char invalid_seed[] = "THIS IS NOT A VALID SEED";
1900 static size_t invalid_seed_len = sizeof(invalid_seed);
1901 ECPARAMETERS *params = NULL, *other_params = NULL;
1902 EC_GROUP *g_ary[8] = {NULL};
1903 EC_GROUP **g_next = &g_ary[0];
1904 ECPARAMETERS *p_ary[8] = {NULL};
1905 ECPARAMETERS **p_next = &p_ary[0];
1906
1907 /* Do some setup */
1908 nid = curves[id].nid;
1909 TEST_note("Curve %s", OBJ_nid2sn(nid));
1910 if (!TEST_ptr(bn_ctx = BN_CTX_new()))
1911 return ret;
1912 BN_CTX_start(bn_ctx);
1913
1914 if (/* Allocations */
1915 !TEST_ptr(group_cofactor = BN_CTX_get(bn_ctx))
1916 || !TEST_ptr(other_gen_x = BN_CTX_get(bn_ctx))
1917 || !TEST_ptr(other_gen_y = BN_CTX_get(bn_ctx))
1918 || !TEST_ptr(other_order = BN_CTX_get(bn_ctx))
1919 || !TEST_ptr(other_cofactor = BN_CTX_get(bn_ctx))
1920 /* Generate reference group and params */
1921 || !TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))
1922 || !TEST_ptr(params = EC_GROUP_get_ecparameters(group, NULL))
1923 || !TEST_ptr(group_gen = EC_GROUP_get0_generator(group))
1924 || !TEST_ptr(group_order = EC_GROUP_get0_order(group))
1925 || !TEST_true(EC_GROUP_get_cofactor(group, group_cofactor, NULL))
1926 /* compute `other_*` values */
1927 || !TEST_ptr(tmpg = EC_GROUP_dup(group))
1928 || !TEST_ptr(other_gen = EC_POINT_dup(group_gen, group))
1929 || !TEST_true(EC_POINT_add(group, other_gen, group_gen, group_gen, NULL))
1930 || !TEST_true(EC_POINT_get_affine_coordinates(group, other_gen,
1931 other_gen_x, other_gen_y, bn_ctx))
1932 || !TEST_true(BN_copy(other_order, group_order))
1933 || !TEST_true(BN_add_word(other_order, 1))
1934 || !TEST_true(BN_copy(other_cofactor, group_cofactor))
1935 || !TEST_true(BN_add_word(other_cofactor, 1)))
1936 goto err;
1937
1938 EC_POINT_free(other_gen);
1939 other_gen = NULL;
1940
1941 if (!TEST_ptr(other_gen = EC_POINT_new(tmpg))
1942 || !TEST_true(EC_POINT_set_affine_coordinates(tmpg, other_gen,
1943 other_gen_x, other_gen_y,
1944 bn_ctx)))
1945 goto err;
1946
1947 /*
1948 * ###########################
1949 * # Actual tests start here #
1950 * ###########################
1951 */
1952
1953 /*
1954 * Creating a group from built-in explicit parameters returns a
1955 * "named" EC_GROUP
1956 */
1957 if (!TEST_ptr(tgroup = *g_next++ = EC_GROUP_new_from_ecparameters(params))
1958 || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef))
1959 goto err;
1960 /*
1961 * We cannot always guarantee the names match, as the built-in table
1962 * contains aliases for the same curve with different names.
1963 */
1964 if (!TEST_true(are_ec_nids_compatible(nid, tnid))) {
1965 TEST_info("nid = %s, tnid = %s", OBJ_nid2sn(nid), OBJ_nid2sn(tnid));
1966 goto err;
1967 }
1968 /* Ensure that the OPENSSL_EC_EXPLICIT_CURVE ASN1 flag is set. */
1969 if (!TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup), OPENSSL_EC_EXPLICIT_CURVE))
1970 goto err;
1971
1972 /*
1973 * An invalid seed in the parameters should be ignored: expect a "named"
1974 * group.
1975 */
1976 if (!TEST_int_eq(EC_GROUP_set_seed(tmpg, invalid_seed, invalid_seed_len),
1977 invalid_seed_len)
1978 || !TEST_ptr(other_params = *p_next++ =
1979 EC_GROUP_get_ecparameters(tmpg, NULL))
1980 || !TEST_ptr(tgroup = *g_next++ =
1981 EC_GROUP_new_from_ecparameters(other_params))
1982 || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
1983 || !TEST_true(are_ec_nids_compatible(nid, tnid))
1984 || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
1985 OPENSSL_EC_EXPLICIT_CURVE)) {
1986 TEST_info("nid = %s, tnid = %s", OBJ_nid2sn(nid), OBJ_nid2sn(tnid));
1987 goto err;
1988 }
1989
1990 /*
1991 * A null seed in the parameters should be ignored, as it is optional:
1992 * expect a "named" group.
1993 */
1994 if (!TEST_int_eq(EC_GROUP_set_seed(tmpg, NULL, 0), 1)
1995 || !TEST_ptr(other_params = *p_next++ =
1996 EC_GROUP_get_ecparameters(tmpg, NULL))
1997 || !TEST_ptr(tgroup = *g_next++ =
1998 EC_GROUP_new_from_ecparameters(other_params))
1999 || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
2000 || !TEST_true(are_ec_nids_compatible(nid, tnid))
2001 || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
2002 OPENSSL_EC_EXPLICIT_CURVE)) {
2003 TEST_info("nid = %s, tnid = %s", OBJ_nid2sn(nid), OBJ_nid2sn(tnid));
2004 goto err;
2005 }
2006
2007 /*
2008 * Check that changing any of the generator parameters does not yield a
2009 * match with the built-in curves
2010 */
2011 if (/* Other gen, same group order & cofactor */
2012 !TEST_true(EC_GROUP_set_generator(tmpg, other_gen, group_order,
2013 group_cofactor))
2014 || !TEST_ptr(other_params = *p_next++ =
2015 EC_GROUP_get_ecparameters(tmpg, NULL))
2016 || !TEST_ptr(tgroup = *g_next++ =
2017 EC_GROUP_new_from_ecparameters(other_params))
2018 || !TEST_int_eq((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
2019 /* Same gen & cofactor, different order */
2020 || !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, other_order,
2021 group_cofactor))
2022 || !TEST_ptr(other_params = *p_next++ =
2023 EC_GROUP_get_ecparameters(tmpg, NULL))
2024 || !TEST_ptr(tgroup = *g_next++ =
2025 EC_GROUP_new_from_ecparameters(other_params))
2026 || !TEST_int_eq((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
2027 /* The order is not an optional field, so this should fail */
2028 || !TEST_false(EC_GROUP_set_generator(tmpg, group_gen, NULL,
2029 group_cofactor))
2030 /* Check that a wrong cofactor is ignored, and we still match */
2031 || !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, group_order,
2032 other_cofactor))
2033 || !TEST_ptr(other_params = *p_next++ =
2034 EC_GROUP_get_ecparameters(tmpg, NULL))
2035 || !TEST_ptr(tgroup = *g_next++ =
2036 EC_GROUP_new_from_ecparameters(other_params))
2037 || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
2038 || !TEST_true(are_ec_nids_compatible(nid, tnid))
2039 || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
2040 OPENSSL_EC_EXPLICIT_CURVE)
2041 /* Check that if the cofactor is not set then it still matches */
2042 || !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, group_order,
2043 NULL))
2044 || !TEST_ptr(other_params = *p_next++ =
2045 EC_GROUP_get_ecparameters(tmpg, NULL))
2046 || !TEST_ptr(tgroup = *g_next++ =
2047 EC_GROUP_new_from_ecparameters(other_params))
2048 || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
2049 || !TEST_true(are_ec_nids_compatible(nid, tnid))
2050 || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
2051 OPENSSL_EC_EXPLICIT_CURVE)
2052 /* check that restoring the generator passes */
2053 || !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, group_order,
2054 group_cofactor))
2055 || !TEST_ptr(other_params = *p_next++ =
2056 EC_GROUP_get_ecparameters(tmpg, NULL))
2057 || !TEST_ptr(tgroup = *g_next++ =
2058 EC_GROUP_new_from_ecparameters(other_params))
2059 || !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)
2060 || !TEST_true(are_ec_nids_compatible(nid, tnid))
2061 || !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup),
2062 OPENSSL_EC_EXPLICIT_CURVE))
2063 goto err;
2064
2065 ret = 1;
2066 err:
2067 for (g_next = &g_ary[0]; g_next < g_ary + OSSL_NELEM(g_ary); g_next++)
2068 EC_GROUP_free(*g_next);
2069 for (p_next = &p_ary[0]; p_next < p_ary + OSSL_NELEM(g_ary); p_next++)
2070 ECPARAMETERS_free(*p_next);
2071 ECPARAMETERS_free(params);
2072 EC_POINT_free(other_gen);
2073 EC_GROUP_free(tmpg);
2074 EC_GROUP_free(group);
2075 BN_CTX_end(bn_ctx);
2076 BN_CTX_free(bn_ctx);
2077 return ret;
2078 }
2079
2080
2081 static int parameter_test(void)
2082 {
2083 EC_GROUP *group = NULL, *group2 = NULL;
2084 ECPARAMETERS *ecparameters = NULL;
2085 unsigned char *buf = NULL;
2086 int r = 0, len;
2087
2088 if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp384r1))
2089 || !TEST_ptr(ecparameters = EC_GROUP_get_ecparameters(group, NULL))
2090 || !TEST_ptr(group2 = EC_GROUP_new_from_ecparameters(ecparameters))
2091 || !TEST_int_eq(EC_GROUP_cmp(group, group2, NULL), 0))
2092 goto err;
2093
2094 EC_GROUP_free(group);
2095 group = NULL;
2096
2097 /* Test the named curve encoding, which should be default. */
2098 if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp521r1))
2099 || !TEST_true((len = i2d_ECPKParameters(group, &buf)) >= 0)
2100 || !TEST_mem_eq(buf, len, p521_named, sizeof(p521_named)))
2101 goto err;
2102
2103 OPENSSL_free(buf);
2104 buf = NULL;
2105
2106 /*
2107 * Test the explicit encoding. P-521 requires correctly zero-padding the
2108 * curve coefficients.
2109 */
2110 EC_GROUP_set_asn1_flag(group, OPENSSL_EC_EXPLICIT_CURVE);
2111 if (!TEST_true((len = i2d_ECPKParameters(group, &buf)) >= 0)
2112 || !TEST_mem_eq(buf, len, p521_explicit, sizeof(p521_explicit)))
2113 goto err;
2114
2115 r = 1;
2116 err:
2117 EC_GROUP_free(group);
2118 EC_GROUP_free(group2);
2119 ECPARAMETERS_free(ecparameters);
2120 OPENSSL_free(buf);
2121 return r;
2122 }
2123
2124 /*-
2125 * random 256-bit explicit parameters curve, cofactor absent
2126 * order: 0x0c38d96a9f892b88772ec2e39614a82f4f (132 bit)
2127 * cofactor: 0x12bc94785251297abfafddf1565100da (125 bit)
2128 */
2129 static const unsigned char params_cf_pass[] = {
2130 0x30, 0x81, 0xcd, 0x02, 0x01, 0x01, 0x30, 0x2c, 0x06, 0x07, 0x2a, 0x86,
2131 0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x21, 0x00, 0xe5, 0x00, 0x1f, 0xc5,
2132 0xca, 0x71, 0x9d, 0x8e, 0xf7, 0x07, 0x4b, 0x48, 0x37, 0xf9, 0x33, 0x2d,
2133 0x71, 0xbf, 0x79, 0xe7, 0xdc, 0x91, 0xc2, 0xff, 0xb6, 0x7b, 0xc3, 0x93,
2134 0x44, 0x88, 0xe6, 0x91, 0x30, 0x44, 0x04, 0x20, 0xe5, 0x00, 0x1f, 0xc5,
2135 0xca, 0x71, 0x9d, 0x8e, 0xf7, 0x07, 0x4b, 0x48, 0x37, 0xf9, 0x33, 0x2d,
2136 0x71, 0xbf, 0x79, 0xe7, 0xdc, 0x91, 0xc2, 0xff, 0xb6, 0x7b, 0xc3, 0x93,
2137 0x44, 0x88, 0xe6, 0x8e, 0x04, 0x20, 0x18, 0x8c, 0x59, 0x57, 0xc4, 0xbc,
2138 0x85, 0x57, 0xc3, 0x66, 0x9f, 0x89, 0xd5, 0x92, 0x0d, 0x7e, 0x42, 0x27,
2139 0x07, 0x64, 0xaa, 0x26, 0xed, 0x89, 0xc4, 0x09, 0x05, 0x4d, 0xc7, 0x23,
2140 0x47, 0xda, 0x04, 0x41, 0x04, 0x1b, 0x6b, 0x41, 0x0b, 0xf9, 0xfb, 0x77,
2141 0xfd, 0x50, 0xb7, 0x3e, 0x23, 0xa3, 0xec, 0x9a, 0x3b, 0x09, 0x31, 0x6b,
2142 0xfa, 0xf6, 0xce, 0x1f, 0xff, 0xeb, 0x57, 0x93, 0x24, 0x70, 0xf3, 0xf4,
2143 0xba, 0x7e, 0xfa, 0x86, 0x6e, 0x19, 0x89, 0xe3, 0x55, 0x6d, 0x5a, 0xe9,
2144 0xc0, 0x3d, 0xbc, 0xfb, 0xaf, 0xad, 0xd4, 0x7e, 0xa6, 0xe5, 0xfa, 0x1a,
2145 0x58, 0x07, 0x9e, 0x8f, 0x0d, 0x3b, 0xf7, 0x38, 0xca, 0x02, 0x11, 0x0c,
2146 0x38, 0xd9, 0x6a, 0x9f, 0x89, 0x2b, 0x88, 0x77, 0x2e, 0xc2, 0xe3, 0x96,
2147 0x14, 0xa8, 0x2f, 0x4f
2148 };
2149
2150 /*-
2151 * random 256-bit explicit parameters curve, cofactor absent
2152 * order: 0x045a75c0c17228ebd9b169a10e34a22101 (131 bit)
2153 * cofactor: 0x2e134b4ede82649f67a2e559d361e5fe (126 bit)
2154 */
2155 static const unsigned char params_cf_fail[] = {
2156 0x30, 0x81, 0xcd, 0x02, 0x01, 0x01, 0x30, 0x2c, 0x06, 0x07, 0x2a, 0x86,
2157 0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x21, 0x00, 0xc8, 0x95, 0x27, 0x37,
2158 0xe8, 0xe1, 0xfd, 0xcc, 0xf9, 0x6e, 0x0c, 0xa6, 0x21, 0xc1, 0x7d, 0x6b,
2159 0x9d, 0x44, 0x42, 0xea, 0x73, 0x4e, 0x04, 0xb6, 0xac, 0x62, 0x50, 0xd0,
2160 0x33, 0xc2, 0xea, 0x13, 0x30, 0x44, 0x04, 0x20, 0xc8, 0x95, 0x27, 0x37,
2161 0xe8, 0xe1, 0xfd, 0xcc, 0xf9, 0x6e, 0x0c, 0xa6, 0x21, 0xc1, 0x7d, 0x6b,
2162 0x9d, 0x44, 0x42, 0xea, 0x73, 0x4e, 0x04, 0xb6, 0xac, 0x62, 0x50, 0xd0,
2163 0x33, 0xc2, 0xea, 0x10, 0x04, 0x20, 0xbf, 0xa6, 0xa8, 0x05, 0x1d, 0x09,
2164 0xac, 0x70, 0x39, 0xbb, 0x4d, 0xb2, 0x90, 0x8a, 0x15, 0x41, 0x14, 0x1d,
2165 0x11, 0x86, 0x9f, 0x13, 0xa2, 0x63, 0x1a, 0xda, 0x95, 0x22, 0x4d, 0x02,
2166 0x15, 0x0a, 0x04, 0x41, 0x04, 0xaf, 0x16, 0x71, 0xf9, 0xc4, 0xc8, 0x59,
2167 0x1d, 0xa3, 0x6f, 0xe7, 0xc3, 0x57, 0xa1, 0xfa, 0x9f, 0x49, 0x7c, 0x11,
2168 0x27, 0x05, 0xa0, 0x7f, 0xff, 0xf9, 0xe0, 0xe7, 0x92, 0xdd, 0x9c, 0x24,
2169 0x8e, 0xc7, 0xb9, 0x52, 0x71, 0x3f, 0xbc, 0x7f, 0x6a, 0x9f, 0x35, 0x70,
2170 0xe1, 0x27, 0xd5, 0x35, 0x8a, 0x13, 0xfa, 0xa8, 0x33, 0x3e, 0xd4, 0x73,
2171 0x1c, 0x14, 0x58, 0x9e, 0xc7, 0x0a, 0x87, 0x65, 0x8d, 0x02, 0x11, 0x04,
2172 0x5a, 0x75, 0xc0, 0xc1, 0x72, 0x28, 0xeb, 0xd9, 0xb1, 0x69, 0xa1, 0x0e,
2173 0x34, 0xa2, 0x21, 0x01
2174 };
2175
2176 /*-
2177 * Test two random 256-bit explicit parameters curves with absent cofactor.
2178 * The two curves are chosen to roughly straddle the bounds at which the lib
2179 * can compute the cofactor automatically, roughly 4*sqrt(p). So test that:
2180 *
2181 * - params_cf_pass: order is sufficiently close to p to compute cofactor
2182 * - params_cf_fail: order is too far away from p to compute cofactor
2183 *
2184 * For standards-compliant curves, cofactor is chosen as small as possible.
2185 * So you can see neither of these curves are fit for cryptographic use.
2186 *
2187 * Some standards even mandate an upper bound on the cofactor, e.g. SECG1 v2:
2188 * h <= 2**(t/8) where t is the security level of the curve, for which the lib
2189 * will always succeed in computing the cofactor. Neither of these curves
2190 * conform to that -- this is just robustness testing.
2191 */
2192 static int cofactor_range_test(void)
2193 {
2194 EC_GROUP *group = NULL;
2195 BIGNUM *cf = NULL;
2196 int ret = 0;
2197 const unsigned char *b1 = (const unsigned char *)params_cf_fail;
2198 const unsigned char *b2 = (const unsigned char *)params_cf_pass;
2199
2200 if (!TEST_ptr(group = d2i_ECPKParameters(NULL, &b1, sizeof(params_cf_fail)))
2201 || !TEST_BN_eq_zero(EC_GROUP_get0_cofactor(group))
2202 || !TEST_ptr(group = d2i_ECPKParameters(&group, &b2,
2203 sizeof(params_cf_pass)))
2204 || !TEST_int_gt(BN_hex2bn(&cf, "12bc94785251297abfafddf1565100da"), 0)
2205 || !TEST_BN_eq(cf, EC_GROUP_get0_cofactor(group)))
2206 goto err;
2207 ret = 1;
2208 err:
2209 BN_free(cf);
2210 EC_GROUP_free(group);
2211 return ret;
2212 }
2213
2214 /*-
2215 * For named curves, test that:
2216 * - the lib correctly computes the cofactor if passed a NULL or zero cofactor
2217 * - a nonsensical cofactor throws an error (negative test)
2218 * - nonsensical orders throw errors (negative tests)
2219 */
2220 static int cardinality_test(int n)
2221 {
2222 int ret = 0;
2223 int nid = curves[n].nid;
2224 BN_CTX *ctx = NULL;
2225 EC_GROUP *g1 = NULL, *g2 = NULL;
2226 EC_POINT *g2_gen = NULL;
2227 BIGNUM *g1_p = NULL, *g1_a = NULL, *g1_b = NULL, *g1_x = NULL, *g1_y = NULL,
2228 *g1_order = NULL, *g1_cf = NULL, *g2_cf = NULL;
2229
2230 TEST_info("Curve %s cardinality test", OBJ_nid2sn(nid));
2231
2232 if (!TEST_ptr(ctx = BN_CTX_new())
2233 || !TEST_ptr(g1 = EC_GROUP_new_by_curve_name(nid))
2234 || !TEST_ptr(g2 = EC_GROUP_new(EC_GROUP_method_of(g1)))) {
2235 EC_GROUP_free(g1);
2236 EC_GROUP_free(g2);
2237 BN_CTX_free(ctx);
2238 return 0;
2239 }
2240
2241 BN_CTX_start(ctx);
2242 g1_p = BN_CTX_get(ctx);
2243 g1_a = BN_CTX_get(ctx);
2244 g1_b = BN_CTX_get(ctx);
2245 g1_x = BN_CTX_get(ctx);
2246 g1_y = BN_CTX_get(ctx);
2247 g1_order = BN_CTX_get(ctx);
2248 g1_cf = BN_CTX_get(ctx);
2249
2250 if (!TEST_ptr(g2_cf = BN_CTX_get(ctx))
2251 /* pull out the explicit curve parameters */
2252 || !TEST_true(EC_GROUP_get_curve(g1, g1_p, g1_a, g1_b, ctx))
2253 || !TEST_true(EC_POINT_get_affine_coordinates(g1,
2254 EC_GROUP_get0_generator(g1), g1_x, g1_y, ctx))
2255 || !TEST_true(BN_copy(g1_order, EC_GROUP_get0_order(g1)))
2256 || !TEST_true(EC_GROUP_get_cofactor(g1, g1_cf, ctx))
2257 /* construct g2 manually with g1 parameters */
2258 || !TEST_true(EC_GROUP_set_curve(g2, g1_p, g1_a, g1_b, ctx))
2259 || !TEST_ptr(g2_gen = EC_POINT_new(g2))
2260 || !TEST_true(EC_POINT_set_affine_coordinates(g2, g2_gen, g1_x, g1_y, ctx))
2261 /* pass NULL cofactor: lib should compute it */
2262 || !TEST_true(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL))
2263 || !TEST_true(EC_GROUP_get_cofactor(g2, g2_cf, ctx))
2264 || !TEST_BN_eq(g1_cf, g2_cf)
2265 /* pass zero cofactor: lib should compute it */
2266 || !TEST_true(BN_set_word(g2_cf, 0))
2267 || !TEST_true(EC_GROUP_set_generator(g2, g2_gen, g1_order, g2_cf))
2268 || !TEST_true(EC_GROUP_get_cofactor(g2, g2_cf, ctx))
2269 || !TEST_BN_eq(g1_cf, g2_cf)
2270 /* negative test for invalid cofactor */
2271 || !TEST_true(BN_set_word(g2_cf, 0))
2272 || !TEST_true(BN_sub(g2_cf, g2_cf, BN_value_one()))
2273 || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, g2_cf))
2274 /* negative test for NULL order */
2275 || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, NULL, NULL))
2276 /* negative test for zero order */
2277 || !TEST_true(BN_set_word(g1_order, 0))
2278 || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL))
2279 /* negative test for negative order */
2280 || !TEST_true(BN_set_word(g2_cf, 0))
2281 || !TEST_true(BN_sub(g2_cf, g2_cf, BN_value_one()))
2282 || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL))
2283 /* negative test for too large order */
2284 || !TEST_true(BN_lshift(g1_order, g1_p, 2))
2285 || !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL)))
2286 goto err;
2287 ret = 1;
2288 err:
2289 EC_POINT_free(g2_gen);
2290 EC_GROUP_free(g1);
2291 EC_GROUP_free(g2);
2292 BN_CTX_end(ctx);
2293 BN_CTX_free(ctx);
2294 return ret;
2295 }
2296
2297 static int check_ec_key_field_public_range_test(int id)
2298 {
2299 int ret = 0, type = 0;
2300 const EC_POINT *pub = NULL;
2301 const EC_GROUP *group = NULL;
2302 const EC_METHOD *meth = NULL;
2303 const BIGNUM *field = NULL;
2304 BIGNUM *x = NULL, *y = NULL;
2305 EC_KEY *key = NULL;
2306
2307 if (!TEST_ptr(x = BN_new())
2308 || !TEST_ptr(y = BN_new())
2309 || !TEST_ptr(key = EC_KEY_new_by_curve_name(curves[id].nid))
2310 || !TEST_ptr(group = EC_KEY_get0_group(key))
2311 || !TEST_ptr(meth = EC_GROUP_method_of(group))
2312 || !TEST_ptr(field = EC_GROUP_get0_field(group))
2313 || !TEST_int_gt(EC_KEY_generate_key(key), 0)
2314 || !TEST_int_gt(EC_KEY_check_key(key), 0)
2315 || !TEST_ptr(pub = EC_KEY_get0_public_key(key))
2316 || !TEST_int_gt(EC_POINT_get_affine_coordinates(group, pub, x, y,
2317 NULL), 0))
2318 goto err;
2319
2320 /*
2321 * Make the public point out of range by adding the field (which will still
2322 * be the same point on the curve). The add is different for char2 fields.
2323 */
2324 type = EC_METHOD_get_field_type(meth);
2325 #ifndef OPENSSL_NO_EC2M
2326 if (type == NID_X9_62_characteristic_two_field) {
2327 /* test for binary curves */
2328 if (!TEST_true(BN_GF2m_add(x, x, field)))
2329 goto err;
2330 } else
2331 #endif
2332 if (type == NID_X9_62_prime_field) {
2333 /* test for prime curves */
2334 if (!TEST_true(BN_add(x, x, field)))
2335 goto err;
2336 } else {
2337 /* this should never happen */
2338 TEST_error("Unsupported EC_METHOD field_type");
2339 goto err;
2340 }
2341 if (!TEST_int_le(EC_KEY_set_public_key_affine_coordinates(key, x, y), 0))
2342 goto err;
2343
2344 ret = 1;
2345 err:
2346 BN_free(x);
2347 BN_free(y);
2348 EC_KEY_free(key);
2349 return ret;
2350 }
2351 #endif /* OPENSSL_NO_EC */
2352
2353 int setup_tests(void)
2354 {
2355 #ifndef OPENSSL_NO_EC
2356 crv_len = EC_get_builtin_curves(NULL, 0);
2357 if (!TEST_ptr(curves = OPENSSL_malloc(sizeof(*curves) * crv_len))
2358 || !TEST_true(EC_get_builtin_curves(curves, crv_len)))
2359 return 0;
2360
2361 ADD_TEST(parameter_test);
2362 ADD_TEST(cofactor_range_test);
2363 ADD_ALL_TESTS(cardinality_test, crv_len);
2364 ADD_TEST(prime_field_tests);
2365 # ifndef OPENSSL_NO_EC2M
2366 ADD_TEST(char2_field_tests);
2367 ADD_ALL_TESTS(char2_curve_test, OSSL_NELEM(char2_curve_tests));
2368 # endif
2369 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
2370 ADD_ALL_TESTS(nistp_single_test, OSSL_NELEM(nistp_tests_params));
2371 ADD_TEST(underflow_test);
2372 # endif
2373 ADD_ALL_TESTS(internal_curve_test, crv_len);
2374 ADD_ALL_TESTS(internal_curve_test_method, crv_len);
2375 ADD_TEST(group_field_test);
2376 ADD_ALL_TESTS(check_named_curve_test, crv_len);
2377 ADD_ALL_TESTS(check_named_curve_lookup_test, crv_len);
2378 ADD_ALL_TESTS(check_ec_key_field_public_range_test, crv_len);
2379 ADD_ALL_TESTS(check_named_curve_from_ecparameters, crv_len);
2380 #endif /* OPENSSL_NO_EC */
2381 return 1;
2382 }
2383
2384 void cleanup_tests(void)
2385 {
2386 #ifndef OPENSSL_NO_EC
2387 OPENSSL_free(curves);
2388 #endif
2389 }
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