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Add GCD testing infrastructure.
[thirdparty/openssl.git] / test / bntest.c
1 /*
2 * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
3 *
4 * Licensed under the OpenSSL license (the "License"). You may not use
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
8 */
9 #include <assert.h>
10 #include <errno.h>
11 #include <stdio.h>
12 #include <string.h>
13 #include <ctype.h>
14
15 #include <openssl/bn.h>
16 #include <openssl/crypto.h>
17 #include <openssl/err.h>
18 #include <openssl/rand.h>
19 #include "internal/nelem.h"
20 #include "internal/numbers.h"
21 #include "testutil.h"
22
23 #ifdef OPENSSL_SYS_WINDOWS
24 # define strcasecmp _stricmp
25 #endif
26
27 /*
28 * Things in boring, not in openssl. TODO we should add them.
29 */
30 #define HAVE_BN_PADDED 0
31 #define HAVE_BN_SQRT 0
32
33 typedef struct filetest_st {
34 const char *name;
35 int (*func)(STANZA *s);
36 } FILETEST;
37
38 typedef struct mpitest_st {
39 const char *base10;
40 const char *mpi;
41 size_t mpi_len;
42 } MPITEST;
43
44 static const int NUM0 = 100; /* number of tests */
45 static const int NUM1 = 50; /* additional tests for some functions */
46 static BN_CTX *ctx;
47
48 /*
49 * Polynomial coefficients used in GFM tests.
50 */
51 #ifndef OPENSSL_NO_EC2M
52 static int p0[] = { 163, 7, 6, 3, 0, -1 };
53 static int p1[] = { 193, 15, 0, -1 };
54 #endif
55
56 /*
57 * Look for |key| in the stanza and return it or NULL if not found.
58 */
59 static const char *findattr(STANZA *s, const char *key)
60 {
61 int i = s->numpairs;
62 PAIR *pp = s->pairs;
63
64 for ( ; --i >= 0; pp++)
65 if (strcasecmp(pp->key, key) == 0)
66 return pp->value;
67 return NULL;
68 }
69
70 /*
71 * Parse BIGNUM from sparse hex-strings, return |BN_hex2bn| result.
72 */
73 static int parse_bigBN(BIGNUM **out, const char *bn_strings[])
74 {
75 char *bigstring = glue_strings(bn_strings, NULL);
76 int ret = BN_hex2bn(out, bigstring);
77
78 OPENSSL_free(bigstring);
79 return ret;
80 }
81
82 /*
83 * Parse BIGNUM, return number of bytes parsed.
84 */
85 static int parseBN(BIGNUM **out, const char *in)
86 {
87 *out = NULL;
88 return BN_hex2bn(out, in);
89 }
90
91 static int parsedecBN(BIGNUM **out, const char *in)
92 {
93 *out = NULL;
94 return BN_dec2bn(out, in);
95 }
96
97 static BIGNUM *getBN(STANZA *s, const char *attribute)
98 {
99 const char *hex;
100 BIGNUM *ret = NULL;
101
102 if ((hex = findattr(s, attribute)) == NULL) {
103 TEST_error("%s:%d: Can't find %s", s->test_file, s->start, attribute);
104 return NULL;
105 }
106
107 if (parseBN(&ret, hex) != (int)strlen(hex)) {
108 TEST_error("Could not decode '%s'", hex);
109 return NULL;
110 }
111 return ret;
112 }
113
114 static int getint(STANZA *s, int *out, const char *attribute)
115 {
116 BIGNUM *ret;
117 BN_ULONG word;
118 int st = 0;
119
120 if (!TEST_ptr(ret = getBN(s, attribute))
121 || !TEST_ulong_le(word = BN_get_word(ret), INT_MAX))
122 goto err;
123
124 *out = (int)word;
125 st = 1;
126 err:
127 BN_free(ret);
128 return st;
129 }
130
131 static int equalBN(const char *op, const BIGNUM *expected, const BIGNUM *actual)
132 {
133 if (BN_cmp(expected, actual) == 0)
134 return 1;
135
136 TEST_error("unexpected %s value", op);
137 TEST_BN_eq(expected, actual);
138 return 0;
139 }
140
141 /*
142 * Return a "random" flag for if a BN should be negated.
143 */
144 static int rand_neg(void)
145 {
146 static unsigned int neg = 0;
147 static int sign[8] = { 0, 0, 0, 1, 1, 0, 1, 1 };
148
149 return sign[(neg++) % 8];
150 }
151
152 static int test_swap(void)
153 {
154 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
155 int top, cond, st = 0;
156
157 if (!TEST_ptr(a = BN_new())
158 || !TEST_ptr(b = BN_new())
159 || !TEST_ptr(c = BN_new())
160 || !TEST_ptr(d = BN_new()))
161 goto err;
162
163 if (!(TEST_true(BN_bntest_rand(a, 1024, 1, 0))
164 && TEST_true(BN_bntest_rand(b, 1024, 1, 0))
165 && TEST_ptr(BN_copy(c, a))
166 && TEST_ptr(BN_copy(d, b))))
167 goto err;
168 top = BN_num_bits(a) / BN_BITS2;
169
170 /* regular swap */
171 BN_swap(a, b);
172 if (!equalBN("swap", a, d)
173 || !equalBN("swap", b, c))
174 goto err;
175
176 /* conditional swap: true */
177 cond = 1;
178 BN_consttime_swap(cond, a, b, top);
179 if (!equalBN("cswap true", a, c)
180 || !equalBN("cswap true", b, d))
181 goto err;
182
183 /* conditional swap: false */
184 cond = 0;
185 BN_consttime_swap(cond, a, b, top);
186 if (!equalBN("cswap false", a, c)
187 || !equalBN("cswap false", b, d))
188 goto err;
189
190 /* same tests but checking flag swap */
191 BN_set_flags(a, BN_FLG_CONSTTIME);
192
193 BN_swap(a, b);
194 if (!equalBN("swap, flags", a, d)
195 || !equalBN("swap, flags", b, c)
196 || !TEST_true(BN_get_flags(b, BN_FLG_CONSTTIME))
197 || !TEST_false(BN_get_flags(a, BN_FLG_CONSTTIME)))
198 goto err;
199
200 cond = 1;
201 BN_consttime_swap(cond, a, b, top);
202 if (!equalBN("cswap true, flags", a, c)
203 || !equalBN("cswap true, flags", b, d)
204 || !TEST_true(BN_get_flags(a, BN_FLG_CONSTTIME))
205 || !TEST_false(BN_get_flags(b, BN_FLG_CONSTTIME)))
206 goto err;
207
208 cond = 0;
209 BN_consttime_swap(cond, a, b, top);
210 if (!equalBN("cswap false, flags", a, c)
211 || !equalBN("cswap false, flags", b, d)
212 || !TEST_true(BN_get_flags(a, BN_FLG_CONSTTIME))
213 || !TEST_false(BN_get_flags(b, BN_FLG_CONSTTIME)))
214 goto err;
215
216 st = 1;
217 err:
218 BN_free(a);
219 BN_free(b);
220 BN_free(c);
221 BN_free(d);
222 return st;
223 }
224
225 static int test_sub(void)
226 {
227 BIGNUM *a = NULL, *b = NULL, *c = NULL;
228 int i, st = 0;
229
230 if (!TEST_ptr(a = BN_new())
231 || !TEST_ptr(b = BN_new())
232 || !TEST_ptr(c = BN_new()))
233 goto err;
234
235 for (i = 0; i < NUM0 + NUM1; i++) {
236 if (i < NUM1) {
237 if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0)))
238 && TEST_ptr(BN_copy(b, a))
239 && TEST_int_ne(BN_set_bit(a, i), 0)
240 && TEST_true(BN_add_word(b, i)))
241 goto err;
242 } else {
243 if (!TEST_true(BN_bntest_rand(b, 400 + i - NUM1, 0, 0)))
244 goto err;
245 BN_set_negative(a, rand_neg());
246 BN_set_negative(b, rand_neg());
247 }
248 if (!(TEST_true(BN_sub(c, a, b))
249 && TEST_true(BN_add(c, c, b))
250 && TEST_true(BN_sub(c, c, a))
251 && TEST_BN_eq_zero(c)))
252 goto err;
253 }
254 st = 1;
255 err:
256 BN_free(a);
257 BN_free(b);
258 BN_free(c);
259 return st;
260 }
261
262 static int test_div_recip(void)
263 {
264 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;
265 BN_RECP_CTX *recp = NULL;
266 int st = 0, i;
267
268 if (!TEST_ptr(a = BN_new())
269 || !TEST_ptr(b = BN_new())
270 || !TEST_ptr(c = BN_new())
271 || !TEST_ptr(d = BN_new())
272 || !TEST_ptr(e = BN_new())
273 || !TEST_ptr(recp = BN_RECP_CTX_new()))
274 goto err;
275
276 for (i = 0; i < NUM0 + NUM1; i++) {
277 if (i < NUM1) {
278 if (!(TEST_true(BN_bntest_rand(a, 400, 0, 0))
279 && TEST_ptr(BN_copy(b, a))
280 && TEST_true(BN_lshift(a, a, i))
281 && TEST_true(BN_add_word(a, i))))
282 goto err;
283 } else {
284 if (!(TEST_true(BN_bntest_rand(b, 50 + 3 * (i - NUM1), 0, 0))))
285 goto err;
286 }
287 BN_set_negative(a, rand_neg());
288 BN_set_negative(b, rand_neg());
289 if (!(TEST_true(BN_RECP_CTX_set(recp, b, ctx))
290 && TEST_true(BN_div_recp(d, c, a, recp, ctx))
291 && TEST_true(BN_mul(e, d, b, ctx))
292 && TEST_true(BN_add(d, e, c))
293 && TEST_true(BN_sub(d, d, a))
294 && TEST_BN_eq_zero(d)))
295 goto err;
296 }
297 st = 1;
298 err:
299 BN_free(a);
300 BN_free(b);
301 BN_free(c);
302 BN_free(d);
303 BN_free(e);
304 BN_RECP_CTX_free(recp);
305 return st;
306 }
307
308 static int test_mod(void)
309 {
310 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;
311 int st = 0, i;
312
313 if (!TEST_ptr(a = BN_new())
314 || !TEST_ptr(b = BN_new())
315 || !TEST_ptr(c = BN_new())
316 || !TEST_ptr(d = BN_new())
317 || !TEST_ptr(e = BN_new()))
318 goto err;
319
320 if (!(TEST_true(BN_bntest_rand(a, 1024, 0, 0))))
321 goto err;
322 for (i = 0; i < NUM0; i++) {
323 if (!(TEST_true(BN_bntest_rand(b, 450 + i * 10, 0, 0))))
324 goto err;
325 BN_set_negative(a, rand_neg());
326 BN_set_negative(b, rand_neg());
327 if (!(TEST_true(BN_mod(c, a, b, ctx))
328 && TEST_true(BN_div(d, e, a, b, ctx))
329 && TEST_true(BN_sub(e, e, c))
330 && TEST_BN_eq_zero(e)))
331 goto err;
332 }
333 st = 1;
334 err:
335 BN_free(a);
336 BN_free(b);
337 BN_free(c);
338 BN_free(d);
339 BN_free(e);
340 return st;
341 }
342
343 static const char *bn1strings[] = {
344 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
345 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
346 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
347 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
348 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
349 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
350 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
351 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000FFFFFFFF00",
352 "0000000000000000000000000000000000000000000000000000000000000000",
353 "0000000000000000000000000000000000000000000000000000000000000000",
354 "0000000000000000000000000000000000000000000000000000000000000000",
355 "0000000000000000000000000000000000000000000000000000000000000000",
356 "0000000000000000000000000000000000000000000000000000000000000000",
357 "0000000000000000000000000000000000000000000000000000000000000000",
358 "0000000000000000000000000000000000000000000000000000000000000000",
359 "00000000000000000000000000000000000000000000000000FFFFFFFFFFFFFF",
360 NULL
361 };
362
363 static const char *bn2strings[] = {
364 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
365 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
366 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
367 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
368 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
369 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
370 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
371 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000FFFFFFFF0000000000",
372 "0000000000000000000000000000000000000000000000000000000000000000",
373 "0000000000000000000000000000000000000000000000000000000000000000",
374 "0000000000000000000000000000000000000000000000000000000000000000",
375 "0000000000000000000000000000000000000000000000000000000000000000",
376 "0000000000000000000000000000000000000000000000000000000000000000",
377 "0000000000000000000000000000000000000000000000000000000000000000",
378 "0000000000000000000000000000000000000000000000000000000000000000",
379 "000000000000000000000000000000000000000000FFFFFFFFFFFFFF00000000",
380 NULL
381 };
382
383 /*
384 * Test constant-time modular exponentiation with 1024-bit inputs, which on
385 * x86_64 cause a different code branch to be taken.
386 */
387 static int test_modexp_mont5(void)
388 {
389 BIGNUM *a = NULL, *p = NULL, *m = NULL, *d = NULL, *e = NULL;
390 BIGNUM *b = NULL, *n = NULL, *c = NULL;
391 BN_MONT_CTX *mont = NULL;
392 int st = 0;
393
394 if (!TEST_ptr(a = BN_new())
395 || !TEST_ptr(p = BN_new())
396 || !TEST_ptr(m = BN_new())
397 || !TEST_ptr(d = BN_new())
398 || !TEST_ptr(e = BN_new())
399 || !TEST_ptr(b = BN_new())
400 || !TEST_ptr(n = BN_new())
401 || !TEST_ptr(c = BN_new())
402 || !TEST_ptr(mont = BN_MONT_CTX_new()))
403 goto err;
404
405 /* must be odd for montgomery */
406 if (!(TEST_true(BN_bntest_rand(m, 1024, 0, 1))
407 /* Zero exponent */
408 && TEST_true(BN_bntest_rand(a, 1024, 0, 0))))
409 goto err;
410 BN_zero(p);
411
412 if (!TEST_true(BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL)))
413 goto err;
414 if (!TEST_BN_eq_one(d))
415 goto err;
416
417 /* Regression test for carry bug in mulx4x_mont */
418 if (!(TEST_true(BN_hex2bn(&a,
419 "7878787878787878787878787878787878787878787878787878787878787878"
420 "7878787878787878787878787878787878787878787878787878787878787878"
421 "7878787878787878787878787878787878787878787878787878787878787878"
422 "7878787878787878787878787878787878787878787878787878787878787878"))
423 && TEST_true(BN_hex2bn(&b,
424 "095D72C08C097BA488C5E439C655A192EAFB6380073D8C2664668EDDB4060744"
425 "E16E57FB4EDB9AE10A0CEFCDC28A894F689A128379DB279D48A2E20849D68593"
426 "9B7803BCF46CEBF5C533FB0DD35B080593DE5472E3FE5DB951B8BFF9B4CB8F03"
427 "9CC638A5EE8CDD703719F8000E6A9F63BEED5F2FCD52FF293EA05A251BB4AB81"))
428 && TEST_true(BN_hex2bn(&n,
429 "D78AF684E71DB0C39CFF4E64FB9DB567132CB9C50CC98009FEB820B26F2DED9B"
430 "91B9B5E2B83AE0AE4EB4E0523CA726BFBE969B89FD754F674CE99118C3F2D1C5"
431 "D81FDC7C54E02B60262B241D53C040E99E45826ECA37A804668E690E1AFC1CA4"
432 "2C9A15D84D4954425F0B7642FC0BD9D7B24E2618D2DCC9B729D944BADACFDDAF"))))
433 goto err;
434
435 if (!(TEST_true(BN_MONT_CTX_set(mont, n, ctx))
436 && TEST_true(BN_mod_mul_montgomery(c, a, b, mont, ctx))
437 && TEST_true(BN_mod_mul_montgomery(d, b, a, mont, ctx))
438 && TEST_BN_eq(c, d)))
439 goto err;
440
441 /* Regression test for carry bug in sqr[x]8x_mont */
442 if (!(TEST_true(parse_bigBN(&n, bn1strings))
443 && TEST_true(parse_bigBN(&a, bn2strings))))
444 goto err;
445 BN_free(b);
446 if (!(TEST_ptr(b = BN_dup(a))
447 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))
448 && TEST_true(BN_mod_mul_montgomery(c, a, a, mont, ctx))
449 && TEST_true(BN_mod_mul_montgomery(d, a, b, mont, ctx))
450 && TEST_BN_eq(c, d)))
451 goto err;
452
453 /* Regression test for carry bug in bn_sqrx8x_internal */
454 {
455 static const char *ahex[] = {
456 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
457 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
458 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
459 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
460 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF8FFEADBCFC4DAE7FFF908E92820306B",
461 "9544D954000000006C0000000000000000000000000000000000000000000000",
462 "00000000000000000000FF030202FFFFF8FFEBDBCFC4DAE7FFF908E92820306B",
463 "9544D954000000006C000000FF0302030000000000FFFFFFFFFFFFFFFFFFFFFF",
464 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF01FC00FF02FFFFFFFF",
465 "00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00FCFD",
466 "FCFFFFFFFFFF000000000000000000FF0302030000000000FFFFFFFFFFFFFFFF",
467 "FF00FCFDFDFF030202FF00000000FFFFFFFFFFFFFFFFFF00FCFDFCFFFFFFFFFF",
468 NULL
469 };
470 static const char *nhex[] = {
471 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
472 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
473 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
474 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
475 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF8F8F8F8000000",
476 "00000010000000006C0000000000000000000000000000000000000000000000",
477 "00000000000000000000000000000000000000FFFFFFFFFFFFF8F8F8F8000000",
478 "00000010000000006C000000000000000000000000FFFFFFFFFFFFFFFFFFFFFF",
479 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
480 "00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
481 "FFFFFFFFFFFF000000000000000000000000000000000000FFFFFFFFFFFFFFFF",
482 "FFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
483 NULL
484 };
485
486 if (!(TEST_true(parse_bigBN(&a, ahex))
487 && TEST_true(parse_bigBN(&n, nhex))))
488 goto err;
489 }
490 BN_free(b);
491 if (!(TEST_ptr(b = BN_dup(a))
492 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))))
493 goto err;
494
495 if (!TEST_true(BN_mod_mul_montgomery(c, a, a, mont, ctx))
496 || !TEST_true(BN_mod_mul_montgomery(d, a, b, mont, ctx))
497 || !TEST_BN_eq(c, d))
498 goto err;
499
500 /* Regression test for bug in BN_from_montgomery_word */
501 if (!(TEST_true(BN_hex2bn(&a,
502 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
503 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
504 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
505 && TEST_true(BN_hex2bn(&n,
506 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
507 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
508 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))
509 && TEST_false(BN_mod_mul_montgomery(d, a, a, mont, ctx))))
510 goto err;
511
512 /* Regression test for bug in rsaz_1024_mul_avx2 */
513 if (!(TEST_true(BN_hex2bn(&a,
514 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
515 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
516 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
517 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"))
518 && TEST_true(BN_hex2bn(&b,
519 "2020202020202020202020202020202020202020202020202020202020202020"
520 "2020202020202020202020202020202020202020202020202020202020202020"
521 "20202020202020FF202020202020202020202020202020202020202020202020"
522 "2020202020202020202020202020202020202020202020202020202020202020"))
523 && TEST_true(BN_hex2bn(&n,
524 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
525 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
526 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
527 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020FF"))
528 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))
529 && TEST_true(BN_mod_exp_mont_consttime(c, a, b, n, ctx, mont))
530 && TEST_true(BN_mod_exp_mont(d, a, b, n, ctx, mont))
531 && TEST_BN_eq(c, d)))
532 goto err;
533
534 /*
535 * rsaz_1024_mul_avx2 expects fully-reduced inputs.
536 * BN_mod_exp_mont_consttime should reduce the input first.
537 */
538 if (!(TEST_true(BN_hex2bn(&a,
539 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
540 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
541 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
542 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"))
543 && TEST_true(BN_hex2bn(&b,
544 "1FA53F26F8811C58BE0357897AA5E165693230BC9DF5F01DFA6A2D59229EC69D"
545 "9DE6A89C36E3B6957B22D6FAAD5A3C73AE587B710DBE92E83D3A9A3339A085CB"
546 "B58F508CA4F837924BB52CC1698B7FDC2FD74362456A595A5B58E38E38E38E38"
547 "E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E"))
548 && TEST_true(BN_hex2bn(&n,
549 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
550 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
551 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
552 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"))
553 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))
554 && TEST_true(BN_mod_exp_mont_consttime(c, a, b, n, ctx, mont))))
555 goto err;
556 BN_zero(d);
557 if (!TEST_BN_eq(c, d))
558 goto err;
559
560 /* Zero input */
561 if (!TEST_true(BN_bntest_rand(p, 1024, 0, 0)))
562 goto err;
563 BN_zero(a);
564 if (!TEST_true(BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL))
565 || !TEST_BN_eq_zero(d))
566 goto err;
567
568 /*
569 * Craft an input whose Montgomery representation is 1, i.e., shorter
570 * than the modulus m, in order to test the const time precomputation
571 * scattering/gathering.
572 */
573 if (!(TEST_true(BN_one(a))
574 && TEST_true(BN_MONT_CTX_set(mont, m, ctx))))
575 goto err;
576 if (!TEST_true(BN_from_montgomery(e, a, mont, ctx))
577 || !TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
578 || !TEST_true(BN_mod_exp_simple(a, e, p, m, ctx))
579 || !TEST_BN_eq(a, d))
580 goto err;
581
582 /* Finally, some regular test vectors. */
583 if (!(TEST_true(BN_bntest_rand(e, 1024, 0, 0))
584 && TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
585 && TEST_true(BN_mod_exp_simple(a, e, p, m, ctx))
586 && TEST_BN_eq(a, d)))
587 goto err;
588
589 st = 1;
590
591 err:
592 BN_MONT_CTX_free(mont);
593 BN_free(a);
594 BN_free(p);
595 BN_free(m);
596 BN_free(d);
597 BN_free(e);
598 BN_free(b);
599 BN_free(n);
600 BN_free(c);
601 return st;
602 }
603
604 #ifndef OPENSSL_NO_EC2M
605 static int test_gf2m_add(void)
606 {
607 BIGNUM *a = NULL, *b = NULL, *c = NULL;
608 int i, st = 0;
609
610 if (!TEST_ptr(a = BN_new())
611 || !TEST_ptr(b = BN_new())
612 || !TEST_ptr(c = BN_new()))
613 goto err;
614
615 for (i = 0; i < NUM0; i++) {
616 if (!(TEST_true(BN_rand(a, 512, 0, 0))
617 && TEST_ptr(BN_copy(b, BN_value_one()))))
618 goto err;
619 BN_set_negative(a, rand_neg());
620 BN_set_negative(b, rand_neg());
621 if (!(TEST_true(BN_GF2m_add(c, a, b))
622 /* Test that two added values have the correct parity. */
623 && TEST_false((BN_is_odd(a) && BN_is_odd(c))
624 || (!BN_is_odd(a) && !BN_is_odd(c)))))
625 goto err;
626 if (!(TEST_true(BN_GF2m_add(c, c, c))
627 /* Test that c + c = 0. */
628 && TEST_BN_eq_zero(c)))
629 goto err;
630 }
631 st = 1;
632 err:
633 BN_free(a);
634 BN_free(b);
635 BN_free(c);
636 return st;
637 }
638
639 static int test_gf2m_mod(void)
640 {
641 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL, *e = NULL;
642 int i, j, st = 0;
643
644 if (!TEST_ptr(a = BN_new())
645 || !TEST_ptr(b[0] = BN_new())
646 || !TEST_ptr(b[1] = BN_new())
647 || !TEST_ptr(c = BN_new())
648 || !TEST_ptr(d = BN_new())
649 || !TEST_ptr(e = BN_new()))
650 goto err;
651
652 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
653 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
654 goto err;
655
656 for (i = 0; i < NUM0; i++) {
657 if (!TEST_true(BN_bntest_rand(a, 1024, 0, 0)))
658 goto err;
659 for (j = 0; j < 2; j++) {
660 if (!(TEST_true(BN_GF2m_mod(c, a, b[j]))
661 && TEST_true(BN_GF2m_add(d, a, c))
662 && TEST_true(BN_GF2m_mod(e, d, b[j]))
663 /* Test that a + (a mod p) mod p == 0. */
664 && TEST_BN_eq_zero(e)))
665 goto err;
666 }
667 }
668 st = 1;
669 err:
670 BN_free(a);
671 BN_free(b[0]);
672 BN_free(b[1]);
673 BN_free(c);
674 BN_free(d);
675 BN_free(e);
676 return st;
677 }
678
679 static int test_gf2m_mul(void)
680 {
681 BIGNUM *a, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
682 BIGNUM *e = NULL, *f = NULL, *g = NULL, *h = NULL;
683 int i, j, st = 0;
684
685 if (!TEST_ptr(a = BN_new())
686 || !TEST_ptr(b[0] = BN_new())
687 || !TEST_ptr(b[1] = BN_new())
688 || !TEST_ptr(c = BN_new())
689 || !TEST_ptr(d = BN_new())
690 || !TEST_ptr(e = BN_new())
691 || !TEST_ptr(f = BN_new())
692 || !TEST_ptr(g = BN_new())
693 || !TEST_ptr(h = BN_new()))
694 goto err;
695
696 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
697 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
698 goto err;
699
700 for (i = 0; i < NUM0; i++) {
701 if (!(TEST_true(BN_bntest_rand(a, 1024, 0, 0))
702 && TEST_true(BN_bntest_rand(c, 1024, 0, 0))
703 && TEST_true(BN_bntest_rand(d, 1024, 0, 0))))
704 goto err;
705 for (j = 0; j < 2; j++) {
706 if (!(TEST_true(BN_GF2m_mod_mul(e, a, c, b[j], ctx))
707 && TEST_true(BN_GF2m_add(f, a, d))
708 && TEST_true(BN_GF2m_mod_mul(g, f, c, b[j], ctx))
709 && TEST_true(BN_GF2m_mod_mul(h, d, c, b[j], ctx))
710 && TEST_true(BN_GF2m_add(f, e, g))
711 && TEST_true(BN_GF2m_add(f, f, h))
712 /* Test that (a+d)*c = a*c + d*c. */
713 && TEST_BN_eq_zero(f)))
714 goto err;
715 }
716 }
717 st = 1;
718
719 err:
720 BN_free(a);
721 BN_free(b[0]);
722 BN_free(b[1]);
723 BN_free(c);
724 BN_free(d);
725 BN_free(e);
726 BN_free(f);
727 BN_free(g);
728 BN_free(h);
729 return st;
730 }
731
732 static int test_gf2m_sqr(void)
733 {
734 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
735 int i, j, st = 0;
736
737 if (!TEST_ptr(a = BN_new())
738 || !TEST_ptr(b[0] = BN_new())
739 || !TEST_ptr(b[1] = BN_new())
740 || !TEST_ptr(c = BN_new())
741 || !TEST_ptr(d = BN_new()))
742 goto err;
743
744 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
745 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
746 goto err;
747
748 for (i = 0; i < NUM0; i++) {
749 if (!TEST_true(BN_bntest_rand(a, 1024, 0, 0)))
750 goto err;
751 for (j = 0; j < 2; j++) {
752 if (!(TEST_true(BN_GF2m_mod_sqr(c, a, b[j], ctx))
753 && TEST_true(BN_copy(d, a))
754 && TEST_true(BN_GF2m_mod_mul(d, a, d, b[j], ctx))
755 && TEST_true(BN_GF2m_add(d, c, d))
756 /* Test that a*a = a^2. */
757 && TEST_BN_eq_zero(d)))
758 goto err;
759 }
760 }
761 st = 1;
762 err:
763 BN_free(a);
764 BN_free(b[0]);
765 BN_free(b[1]);
766 BN_free(c);
767 BN_free(d);
768 return st;
769 }
770
771 static int test_gf2m_modinv(void)
772 {
773 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
774 int i, j, st = 0;
775
776 if (!TEST_ptr(a = BN_new())
777 || !TEST_ptr(b[0] = BN_new())
778 || !TEST_ptr(b[1] = BN_new())
779 || !TEST_ptr(c = BN_new())
780 || !TEST_ptr(d = BN_new()))
781 goto err;
782
783 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
784 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
785 goto err;
786
787 for (i = 0; i < NUM0; i++) {
788 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
789 goto err;
790 for (j = 0; j < 2; j++) {
791 if (!(TEST_true(BN_GF2m_mod_inv(c, a, b[j], ctx))
792 && TEST_true(BN_GF2m_mod_mul(d, a, c, b[j], ctx))
793 /* Test that ((1/a)*a) = 1. */
794 && TEST_BN_eq_one(d)))
795 goto err;
796 }
797 }
798 st = 1;
799 err:
800 BN_free(a);
801 BN_free(b[0]);
802 BN_free(b[1]);
803 BN_free(c);
804 BN_free(d);
805 return st;
806 }
807
808 static int test_gf2m_moddiv(void)
809 {
810 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
811 BIGNUM *e = NULL, *f = NULL;
812 int i, j, st = 0;
813
814 if (!TEST_ptr(a = BN_new())
815 || !TEST_ptr(b[0] = BN_new())
816 || !TEST_ptr(b[1] = BN_new())
817 || !TEST_ptr(c = BN_new())
818 || !TEST_ptr(d = BN_new())
819 || !TEST_ptr(e = BN_new())
820 || !TEST_ptr(f = BN_new()))
821 goto err;
822
823 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
824 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
825 goto err;
826
827 for (i = 0; i < NUM0; i++) {
828 if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0))
829 && TEST_true(BN_bntest_rand(c, 512, 0, 0))))
830 goto err;
831 for (j = 0; j < 2; j++) {
832 if (!(TEST_true(BN_GF2m_mod_div(d, a, c, b[j], ctx))
833 && TEST_true(BN_GF2m_mod_mul(e, d, c, b[j], ctx))
834 && TEST_true(BN_GF2m_mod_div(f, a, e, b[j], ctx))
835 /* Test that ((a/c)*c)/a = 1. */
836 && TEST_BN_eq_one(f)))
837 goto err;
838 }
839 }
840 st = 1;
841 err:
842 BN_free(a);
843 BN_free(b[0]);
844 BN_free(b[1]);
845 BN_free(c);
846 BN_free(d);
847 BN_free(e);
848 BN_free(f);
849 return st;
850 }
851
852 static int test_gf2m_modexp(void)
853 {
854 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
855 BIGNUM *e = NULL, *f = NULL;
856 int i, j, st = 0;
857
858 if (!TEST_ptr(a = BN_new())
859 || !TEST_ptr(b[0] = BN_new())
860 || !TEST_ptr(b[1] = BN_new())
861 || !TEST_ptr(c = BN_new())
862 || !TEST_ptr(d = BN_new())
863 || !TEST_ptr(e = BN_new())
864 || !TEST_ptr(f = BN_new()))
865 goto err;
866
867 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
868 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
869 goto err;
870
871 for (i = 0; i < NUM0; i++) {
872 if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0))
873 && TEST_true(BN_bntest_rand(c, 512, 0, 0))
874 && TEST_true(BN_bntest_rand(d, 512, 0, 0))))
875 goto err;
876 for (j = 0; j < 2; j++) {
877 if (!(TEST_true(BN_GF2m_mod_exp(e, a, c, b[j], ctx))
878 && TEST_true(BN_GF2m_mod_exp(f, a, d, b[j], ctx))
879 && TEST_true(BN_GF2m_mod_mul(e, e, f, b[j], ctx))
880 && TEST_true(BN_add(f, c, d))
881 && TEST_true(BN_GF2m_mod_exp(f, a, f, b[j], ctx))
882 && TEST_true(BN_GF2m_add(f, e, f))
883 /* Test that a^(c+d)=a^c*a^d. */
884 && TEST_BN_eq_zero(f)))
885 goto err;
886 }
887 }
888 st = 1;
889 err:
890 BN_free(a);
891 BN_free(b[0]);
892 BN_free(b[1]);
893 BN_free(c);
894 BN_free(d);
895 BN_free(e);
896 BN_free(f);
897 return st;
898 }
899
900 static int test_gf2m_modsqrt(void)
901 {
902 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
903 BIGNUM *e = NULL, *f = NULL;
904 int i, j, st = 0;
905
906 if (!TEST_ptr(a = BN_new())
907 || !TEST_ptr(b[0] = BN_new())
908 || !TEST_ptr(b[1] = BN_new())
909 || !TEST_ptr(c = BN_new())
910 || !TEST_ptr(d = BN_new())
911 || !TEST_ptr(e = BN_new())
912 || !TEST_ptr(f = BN_new()))
913 goto err;
914
915 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
916 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
917 goto err;
918
919 for (i = 0; i < NUM0; i++) {
920 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
921 goto err;
922
923 for (j = 0; j < 2; j++) {
924 if (!(TEST_true(BN_GF2m_mod(c, a, b[j]))
925 && TEST_true(BN_GF2m_mod_sqrt(d, a, b[j], ctx))
926 && TEST_true(BN_GF2m_mod_sqr(e, d, b[j], ctx))
927 && TEST_true(BN_GF2m_add(f, c, e))
928 /* Test that d^2 = a, where d = sqrt(a). */
929 && TEST_BN_eq_zero(f)))
930 goto err;
931 }
932 }
933 st = 1;
934 err:
935 BN_free(a);
936 BN_free(b[0]);
937 BN_free(b[1]);
938 BN_free(c);
939 BN_free(d);
940 BN_free(e);
941 BN_free(f);
942 return st;
943 }
944
945 static int test_gf2m_modsolvequad(void)
946 {
947 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
948 BIGNUM *e = NULL;
949 int i, j, s = 0, t, st = 0;
950
951 if (!TEST_ptr(a = BN_new())
952 || !TEST_ptr(b[0] = BN_new())
953 || !TEST_ptr(b[1] = BN_new())
954 || !TEST_ptr(c = BN_new())
955 || !TEST_ptr(d = BN_new())
956 || !TEST_ptr(e = BN_new()))
957 goto err;
958
959 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
960 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
961 goto err;
962
963 for (i = 0; i < NUM0; i++) {
964 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
965 goto err;
966 for (j = 0; j < 2; j++) {
967 t = BN_GF2m_mod_solve_quad(c, a, b[j], ctx);
968 if (t) {
969 s++;
970 if (!(TEST_true(BN_GF2m_mod_sqr(d, c, b[j], ctx))
971 && TEST_true(BN_GF2m_add(d, c, d))
972 && TEST_true(BN_GF2m_mod(e, a, b[j]))
973 && TEST_true(BN_GF2m_add(e, e, d))
974 /*
975 * Test that solution of quadratic c
976 * satisfies c^2 + c = a.
977 */
978 && TEST_BN_eq_zero(e)))
979 goto err;
980 }
981 }
982 }
983 if (!TEST_int_ge(s, 0)) {
984 TEST_info("%d tests found no roots; probably an error", NUM0);
985 goto err;
986 }
987 st = 1;
988 err:
989 BN_free(a);
990 BN_free(b[0]);
991 BN_free(b[1]);
992 BN_free(c);
993 BN_free(d);
994 BN_free(e);
995 return st;
996 }
997 #endif
998
999 static int test_kronecker(void)
1000 {
1001 BIGNUM *a = NULL, *b = NULL, *r = NULL, *t = NULL;
1002 int i, legendre, kronecker, st = 0;
1003
1004 if (!TEST_ptr(a = BN_new())
1005 || !TEST_ptr(b = BN_new())
1006 || !TEST_ptr(r = BN_new())
1007 || !TEST_ptr(t = BN_new()))
1008 goto err;
1009
1010 /*
1011 * We test BN_kronecker(a, b, ctx) just for b odd (Jacobi symbol). In
1012 * this case we know that if b is prime, then BN_kronecker(a, b, ctx) is
1013 * congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol). So we
1014 * generate a random prime b and compare these values for a number of
1015 * random a's. (That is, we run the Solovay-Strassen primality test to
1016 * confirm that b is prime, except that we don't want to test whether b
1017 * is prime but whether BN_kronecker works.)
1018 */
1019
1020 if (!TEST_true(BN_generate_prime_ex(b, 512, 0, NULL, NULL, NULL)))
1021 goto err;
1022 BN_set_negative(b, rand_neg());
1023
1024 for (i = 0; i < NUM0; i++) {
1025 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
1026 goto err;
1027 BN_set_negative(a, rand_neg());
1028
1029 /* t := (|b|-1)/2 (note that b is odd) */
1030 if (!TEST_true(BN_copy(t, b)))
1031 goto err;
1032 BN_set_negative(t, 0);
1033 if (!TEST_true(BN_sub_word(t, 1)))
1034 goto err;
1035 if (!TEST_true(BN_rshift1(t, t)))
1036 goto err;
1037 /* r := a^t mod b */
1038 BN_set_negative(b, 0);
1039
1040 if (!TEST_true(BN_mod_exp_recp(r, a, t, b, ctx)))
1041 goto err;
1042 BN_set_negative(b, 1);
1043
1044 if (BN_is_word(r, 1))
1045 legendre = 1;
1046 else if (BN_is_zero(r))
1047 legendre = 0;
1048 else {
1049 if (!TEST_true(BN_add_word(r, 1)))
1050 goto err;
1051 if (!TEST_int_eq(BN_ucmp(r, b), 0)) {
1052 TEST_info("Legendre symbol computation failed");
1053 goto err;
1054 }
1055 legendre = -1;
1056 }
1057
1058 if (!TEST_int_ge(kronecker = BN_kronecker(a, b, ctx), -1))
1059 goto err;
1060 /* we actually need BN_kronecker(a, |b|) */
1061 if (BN_is_negative(a) && BN_is_negative(b))
1062 kronecker = -kronecker;
1063
1064 if (!TEST_int_eq(legendre, kronecker))
1065 goto err;
1066 }
1067
1068 st = 1;
1069 err:
1070 BN_free(a);
1071 BN_free(b);
1072 BN_free(r);
1073 BN_free(t);
1074 return st;
1075 }
1076
1077 static int file_sum(STANZA *s)
1078 {
1079 BIGNUM *a = NULL, *b = NULL, *sum = NULL, *ret = NULL;
1080 BN_ULONG b_word;
1081 int st = 0;
1082
1083 if (!TEST_ptr(a = getBN(s, "A"))
1084 || !TEST_ptr(b = getBN(s, "B"))
1085 || !TEST_ptr(sum = getBN(s, "Sum"))
1086 || !TEST_ptr(ret = BN_new()))
1087 goto err;
1088
1089 if (!TEST_true(BN_add(ret, a, b))
1090 || !equalBN("A + B", sum, ret)
1091 || !TEST_true(BN_sub(ret, sum, a))
1092 || !equalBN("Sum - A", b, ret)
1093 || !TEST_true(BN_sub(ret, sum, b))
1094 || !equalBN("Sum - B", a, ret))
1095 goto err;
1096
1097 /*
1098 * Test that the functions work when |r| and |a| point to the same BIGNUM,
1099 * or when |r| and |b| point to the same BIGNUM.
1100 * TODO: Test where all of |r|, |a|, and |b| point to the same BIGNUM.
1101 */
1102 if (!TEST_true(BN_copy(ret, a))
1103 || !TEST_true(BN_add(ret, ret, b))
1104 || !equalBN("A + B (r is a)", sum, ret)
1105 || !TEST_true(BN_copy(ret, b))
1106 || !TEST_true(BN_add(ret, a, ret))
1107 || !equalBN("A + B (r is b)", sum, ret)
1108 || !TEST_true(BN_copy(ret, sum))
1109 || !TEST_true(BN_sub(ret, ret, a))
1110 || !equalBN("Sum - A (r is a)", b, ret)
1111 || !TEST_true(BN_copy(ret, a))
1112 || !TEST_true(BN_sub(ret, sum, ret))
1113 || !equalBN("Sum - A (r is b)", b, ret)
1114 || !TEST_true(BN_copy(ret, sum))
1115 || !TEST_true(BN_sub(ret, ret, b))
1116 || !equalBN("Sum - B (r is a)", a, ret)
1117 || !TEST_true(BN_copy(ret, b))
1118 || !TEST_true(BN_sub(ret, sum, ret))
1119 || !equalBN("Sum - B (r is b)", a, ret))
1120 goto err;
1121
1122 /*
1123 * Test BN_uadd() and BN_usub() with the prerequisites they are
1124 * documented as having. Note that these functions are frequently used
1125 * when the prerequisites don't hold. In those cases, they are supposed
1126 * to work as if the prerequisite hold, but we don't test that yet.
1127 * TODO: test that.
1128 */
1129 if (!BN_is_negative(a) && !BN_is_negative(b) && BN_cmp(a, b) >= 0) {
1130 if (!TEST_true(BN_uadd(ret, a, b))
1131 || !equalBN("A +u B", sum, ret)
1132 || !TEST_true(BN_usub(ret, sum, a))
1133 || !equalBN("Sum -u A", b, ret)
1134 || !TEST_true(BN_usub(ret, sum, b))
1135 || !equalBN("Sum -u B", a, ret))
1136 goto err;
1137 /*
1138 * Test that the functions work when |r| and |a| point to the same
1139 * BIGNUM, or when |r| and |b| point to the same BIGNUM.
1140 * TODO: Test where all of |r|, |a|, and |b| point to the same BIGNUM.
1141 */
1142 if (!TEST_true(BN_copy(ret, a))
1143 || !TEST_true(BN_uadd(ret, ret, b))
1144 || !equalBN("A +u B (r is a)", sum, ret)
1145 || !TEST_true(BN_copy(ret, b))
1146 || !TEST_true(BN_uadd(ret, a, ret))
1147 || !equalBN("A +u B (r is b)", sum, ret)
1148 || !TEST_true(BN_copy(ret, sum))
1149 || !TEST_true(BN_usub(ret, ret, a))
1150 || !equalBN("Sum -u A (r is a)", b, ret)
1151 || !TEST_true(BN_copy(ret, a))
1152 || !TEST_true(BN_usub(ret, sum, ret))
1153 || !equalBN("Sum -u A (r is b)", b, ret)
1154 || !TEST_true(BN_copy(ret, sum))
1155 || !TEST_true(BN_usub(ret, ret, b))
1156 || !equalBN("Sum -u B (r is a)", a, ret)
1157 || !TEST_true(BN_copy(ret, b))
1158 || !TEST_true(BN_usub(ret, sum, ret))
1159 || !equalBN("Sum -u B (r is b)", a, ret))
1160 goto err;
1161 }
1162
1163 /*
1164 * Test with BN_add_word() and BN_sub_word() if |b| is small enough.
1165 */
1166 b_word = BN_get_word(b);
1167 if (!BN_is_negative(b) && b_word != (BN_ULONG)-1) {
1168 if (!TEST_true(BN_copy(ret, a))
1169 || !TEST_true(BN_add_word(ret, b_word))
1170 || !equalBN("A + B (word)", sum, ret)
1171 || !TEST_true(BN_copy(ret, sum))
1172 || !TEST_true(BN_sub_word(ret, b_word))
1173 || !equalBN("Sum - B (word)", a, ret))
1174 goto err;
1175 }
1176 st = 1;
1177
1178 err:
1179 BN_free(a);
1180 BN_free(b);
1181 BN_free(sum);
1182 BN_free(ret);
1183 return st;
1184 }
1185
1186 static int file_lshift1(STANZA *s)
1187 {
1188 BIGNUM *a = NULL, *lshift1 = NULL, *zero = NULL, *ret = NULL;
1189 BIGNUM *two = NULL, *remainder = NULL;
1190 int st = 0;
1191
1192 if (!TEST_ptr(a = getBN(s, "A"))
1193 || !TEST_ptr(lshift1 = getBN(s, "LShift1"))
1194 || !TEST_ptr(zero = BN_new())
1195 || !TEST_ptr(ret = BN_new())
1196 || !TEST_ptr(two = BN_new())
1197 || !TEST_ptr(remainder = BN_new()))
1198 goto err;
1199
1200 BN_zero(zero);
1201
1202 if (!TEST_true(BN_set_word(two, 2))
1203 || !TEST_true(BN_add(ret, a, a))
1204 || !equalBN("A + A", lshift1, ret)
1205 || !TEST_true(BN_mul(ret, a, two, ctx))
1206 || !equalBN("A * 2", lshift1, ret)
1207 || !TEST_true(BN_div(ret, remainder, lshift1, two, ctx))
1208 || !equalBN("LShift1 / 2", a, ret)
1209 || !equalBN("LShift1 % 2", zero, remainder)
1210 || !TEST_true(BN_lshift1(ret, a))
1211 || !equalBN("A << 1", lshift1, ret)
1212 || !TEST_true(BN_rshift1(ret, lshift1))
1213 || !equalBN("LShift >> 1", a, ret)
1214 || !TEST_true(BN_rshift1(ret, lshift1))
1215 || !equalBN("LShift >> 1", a, ret))
1216 goto err;
1217
1218 /* Set the LSB to 1 and test rshift1 again. */
1219 if (!TEST_true(BN_set_bit(lshift1, 0))
1220 || !TEST_true(BN_div(ret, NULL /* rem */ , lshift1, two, ctx))
1221 || !equalBN("(LShift1 | 1) / 2", a, ret)
1222 || !TEST_true(BN_rshift1(ret, lshift1))
1223 || !equalBN("(LShift | 1) >> 1", a, ret))
1224 goto err;
1225
1226 st = 1;
1227 err:
1228 BN_free(a);
1229 BN_free(lshift1);
1230 BN_free(zero);
1231 BN_free(ret);
1232 BN_free(two);
1233 BN_free(remainder);
1234
1235 return st;
1236 }
1237
1238 static int file_lshift(STANZA *s)
1239 {
1240 BIGNUM *a = NULL, *lshift = NULL, *ret = NULL;
1241 int n = 0, st = 0;
1242
1243 if (!TEST_ptr(a = getBN(s, "A"))
1244 || !TEST_ptr(lshift = getBN(s, "LShift"))
1245 || !TEST_ptr(ret = BN_new())
1246 || !getint(s, &n, "N"))
1247 goto err;
1248
1249 if (!TEST_true(BN_lshift(ret, a, n))
1250 || !equalBN("A << N", lshift, ret)
1251 || !TEST_true(BN_rshift(ret, lshift, n))
1252 || !equalBN("A >> N", a, ret))
1253 goto err;
1254
1255 st = 1;
1256 err:
1257 BN_free(a);
1258 BN_free(lshift);
1259 BN_free(ret);
1260 return st;
1261 }
1262
1263 static int file_rshift(STANZA *s)
1264 {
1265 BIGNUM *a = NULL, *rshift = NULL, *ret = NULL;
1266 int n = 0, st = 0;
1267
1268 if (!TEST_ptr(a = getBN(s, "A"))
1269 || !TEST_ptr(rshift = getBN(s, "RShift"))
1270 || !TEST_ptr(ret = BN_new())
1271 || !getint(s, &n, "N"))
1272 goto err;
1273
1274 if (!TEST_true(BN_rshift(ret, a, n))
1275 || !equalBN("A >> N", rshift, ret))
1276 goto err;
1277
1278 /* If N == 1, try with rshift1 as well */
1279 if (n == 1) {
1280 if (!TEST_true(BN_rshift1(ret, a))
1281 || !equalBN("A >> 1 (rshift1)", rshift, ret))
1282 goto err;
1283 }
1284 st = 1;
1285
1286 err:
1287 BN_free(a);
1288 BN_free(rshift);
1289 BN_free(ret);
1290 return st;
1291 }
1292
1293 static int file_square(STANZA *s)
1294 {
1295 BIGNUM *a = NULL, *square = NULL, *zero = NULL, *ret = NULL;
1296 BIGNUM *remainder = NULL, *tmp = NULL;
1297 int st = 0;
1298
1299 if (!TEST_ptr(a = getBN(s, "A"))
1300 || !TEST_ptr(square = getBN(s, "Square"))
1301 || !TEST_ptr(zero = BN_new())
1302 || !TEST_ptr(ret = BN_new())
1303 || !TEST_ptr(remainder = BN_new()))
1304 goto err;
1305
1306 BN_zero(zero);
1307 if (!TEST_true(BN_sqr(ret, a, ctx))
1308 || !equalBN("A^2", square, ret)
1309 || !TEST_true(BN_mul(ret, a, a, ctx))
1310 || !equalBN("A * A", square, ret)
1311 || !TEST_true(BN_div(ret, remainder, square, a, ctx))
1312 || !equalBN("Square / A", a, ret)
1313 || !equalBN("Square % A", zero, remainder))
1314 goto err;
1315
1316 #if HAVE_BN_SQRT
1317 BN_set_negative(a, 0);
1318 if (!TEST_true(BN_sqrt(ret, square, ctx))
1319 || !equalBN("sqrt(Square)", a, ret))
1320 goto err;
1321
1322 /* BN_sqrt should fail on non-squares and negative numbers. */
1323 if (!TEST_BN_eq_zero(square)) {
1324 if (!TEST_ptr(tmp = BN_new())
1325 || !TEST_true(BN_copy(tmp, square)))
1326 goto err;
1327 BN_set_negative(tmp, 1);
1328
1329 if (!TEST_int_eq(BN_sqrt(ret, tmp, ctx), 0))
1330 goto err;
1331 ERR_clear_error();
1332
1333 BN_set_negative(tmp, 0);
1334 if (BN_add(tmp, tmp, BN_value_one()))
1335 goto err;
1336 if (!TEST_int_eq(BN_sqrt(ret, tmp, ctx)))
1337 goto err;
1338 ERR_clear_error();
1339 }
1340 #endif
1341
1342 st = 1;
1343 err:
1344 BN_free(a);
1345 BN_free(square);
1346 BN_free(zero);
1347 BN_free(ret);
1348 BN_free(remainder);
1349 BN_free(tmp);
1350 return st;
1351 }
1352
1353 static int file_product(STANZA *s)
1354 {
1355 BIGNUM *a = NULL, *b = NULL, *product = NULL, *ret = NULL;
1356 BIGNUM *remainder = NULL, *zero = NULL;
1357 int st = 0;
1358
1359 if (!TEST_ptr(a = getBN(s, "A"))
1360 || !TEST_ptr(b = getBN(s, "B"))
1361 || !TEST_ptr(product = getBN(s, "Product"))
1362 || !TEST_ptr(ret = BN_new())
1363 || !TEST_ptr(remainder = BN_new())
1364 || !TEST_ptr(zero = BN_new()))
1365 goto err;
1366
1367 BN_zero(zero);
1368
1369 if (!TEST_true(BN_mul(ret, a, b, ctx))
1370 || !equalBN("A * B", product, ret)
1371 || !TEST_true(BN_div(ret, remainder, product, a, ctx))
1372 || !equalBN("Product / A", b, ret)
1373 || !equalBN("Product % A", zero, remainder)
1374 || !TEST_true(BN_div(ret, remainder, product, b, ctx))
1375 || !equalBN("Product / B", a, ret)
1376 || !equalBN("Product % B", zero, remainder))
1377 goto err;
1378
1379 st = 1;
1380 err:
1381 BN_free(a);
1382 BN_free(b);
1383 BN_free(product);
1384 BN_free(ret);
1385 BN_free(remainder);
1386 BN_free(zero);
1387 return st;
1388 }
1389
1390 static int file_quotient(STANZA *s)
1391 {
1392 BIGNUM *a = NULL, *b = NULL, *quotient = NULL, *remainder = NULL;
1393 BIGNUM *ret = NULL, *ret2 = NULL, *nnmod = NULL;
1394 BN_ULONG b_word, ret_word;
1395 int st = 0;
1396
1397 if (!TEST_ptr(a = getBN(s, "A"))
1398 || !TEST_ptr(b = getBN(s, "B"))
1399 || !TEST_ptr(quotient = getBN(s, "Quotient"))
1400 || !TEST_ptr(remainder = getBN(s, "Remainder"))
1401 || !TEST_ptr(ret = BN_new())
1402 || !TEST_ptr(ret2 = BN_new())
1403 || !TEST_ptr(nnmod = BN_new()))
1404 goto err;
1405
1406 if (!TEST_true(BN_div(ret, ret2, a, b, ctx))
1407 || !equalBN("A / B", quotient, ret)
1408 || !equalBN("A % B", remainder, ret2)
1409 || !TEST_true(BN_mul(ret, quotient, b, ctx))
1410 || !TEST_true(BN_add(ret, ret, remainder))
1411 || !equalBN("Quotient * B + Remainder", a, ret))
1412 goto err;
1413
1414 /*
1415 * Test with BN_mod_word() and BN_div_word() if the divisor is
1416 * small enough.
1417 */
1418 b_word = BN_get_word(b);
1419 if (!BN_is_negative(b) && b_word != (BN_ULONG)-1) {
1420 BN_ULONG remainder_word = BN_get_word(remainder);
1421
1422 assert(remainder_word != (BN_ULONG)-1);
1423 if (!TEST_ptr(BN_copy(ret, a)))
1424 goto err;
1425 ret_word = BN_div_word(ret, b_word);
1426 if (ret_word != remainder_word) {
1427 #ifdef BN_DEC_FMT1
1428 TEST_error(
1429 "Got A %% B (word) = " BN_DEC_FMT1 ", wanted " BN_DEC_FMT1,
1430 ret_word, remainder_word);
1431 #else
1432 TEST_error("Got A %% B (word) mismatch");
1433 #endif
1434 goto err;
1435 }
1436 if (!equalBN ("A / B (word)", quotient, ret))
1437 goto err;
1438
1439 ret_word = BN_mod_word(a, b_word);
1440 if (ret_word != remainder_word) {
1441 #ifdef BN_DEC_FMT1
1442 TEST_error(
1443 "Got A %% B (word) = " BN_DEC_FMT1 ", wanted " BN_DEC_FMT1 "",
1444 ret_word, remainder_word);
1445 #else
1446 TEST_error("Got A %% B (word) mismatch");
1447 #endif
1448 goto err;
1449 }
1450 }
1451
1452 /* Test BN_nnmod. */
1453 if (!BN_is_negative(b)) {
1454 if (!TEST_true(BN_copy(nnmod, remainder))
1455 || (BN_is_negative(nnmod)
1456 && !TEST_true(BN_add(nnmod, nnmod, b)))
1457 || !TEST_true(BN_nnmod(ret, a, b, ctx))
1458 || !equalBN("A % B (non-negative)", nnmod, ret))
1459 goto err;
1460 }
1461
1462 st = 1;
1463 err:
1464 BN_free(a);
1465 BN_free(b);
1466 BN_free(quotient);
1467 BN_free(remainder);
1468 BN_free(ret);
1469 BN_free(ret2);
1470 BN_free(nnmod);
1471 return st;
1472 }
1473
1474 static int file_modmul(STANZA *s)
1475 {
1476 BIGNUM *a = NULL, *b = NULL, *m = NULL, *mod_mul = NULL, *ret = NULL;
1477 int st = 0;
1478
1479 if (!TEST_ptr(a = getBN(s, "A"))
1480 || !TEST_ptr(b = getBN(s, "B"))
1481 || !TEST_ptr(m = getBN(s, "M"))
1482 || !TEST_ptr(mod_mul = getBN(s, "ModMul"))
1483 || !TEST_ptr(ret = BN_new()))
1484 goto err;
1485
1486 if (!TEST_true(BN_mod_mul(ret, a, b, m, ctx))
1487 || !equalBN("A * B (mod M)", mod_mul, ret))
1488 goto err;
1489
1490 if (BN_is_odd(m)) {
1491 /* Reduce |a| and |b| and test the Montgomery version. */
1492 BN_MONT_CTX *mont = BN_MONT_CTX_new();
1493 BIGNUM *a_tmp = BN_new();
1494 BIGNUM *b_tmp = BN_new();
1495
1496 if (mont == NULL || a_tmp == NULL || b_tmp == NULL
1497 || !TEST_true(BN_MONT_CTX_set(mont, m, ctx))
1498 || !TEST_true(BN_nnmod(a_tmp, a, m, ctx))
1499 || !TEST_true(BN_nnmod(b_tmp, b, m, ctx))
1500 || !TEST_true(BN_to_montgomery(a_tmp, a_tmp, mont, ctx))
1501 || !TEST_true(BN_to_montgomery(b_tmp, b_tmp, mont, ctx))
1502 || !TEST_true(BN_mod_mul_montgomery(ret, a_tmp, b_tmp,
1503 mont, ctx))
1504 || !TEST_true(BN_from_montgomery(ret, ret, mont, ctx))
1505 || !equalBN("A * B (mod M) (mont)", mod_mul, ret))
1506 st = 0;
1507 else
1508 st = 1;
1509 BN_MONT_CTX_free(mont);
1510 BN_free(a_tmp);
1511 BN_free(b_tmp);
1512 if (st == 0)
1513 goto err;
1514 }
1515
1516 st = 1;
1517 err:
1518 BN_free(a);
1519 BN_free(b);
1520 BN_free(m);
1521 BN_free(mod_mul);
1522 BN_free(ret);
1523 return st;
1524 }
1525
1526 static int file_modexp(STANZA *s)
1527 {
1528 BIGNUM *a = NULL, *e = NULL, *m = NULL, *mod_exp = NULL, *ret = NULL;
1529 BIGNUM *b = NULL, *c = NULL, *d = NULL;
1530 int st = 0;
1531
1532 if (!TEST_ptr(a = getBN(s, "A"))
1533 || !TEST_ptr(e = getBN(s, "E"))
1534 || !TEST_ptr(m = getBN(s, "M"))
1535 || !TEST_ptr(mod_exp = getBN(s, "ModExp"))
1536 || !TEST_ptr(ret = BN_new())
1537 || !TEST_ptr(d = BN_new()))
1538 goto err;
1539
1540 if (!TEST_true(BN_mod_exp(ret, a, e, m, ctx))
1541 || !equalBN("A ^ E (mod M)", mod_exp, ret))
1542 goto err;
1543
1544 if (BN_is_odd(m)) {
1545 if (!TEST_true(BN_mod_exp_mont(ret, a, e, m, ctx, NULL))
1546 || !equalBN("A ^ E (mod M) (mont)", mod_exp, ret)
1547 || !TEST_true(BN_mod_exp_mont_consttime(ret, a, e, m,
1548 ctx, NULL))
1549 || !equalBN("A ^ E (mod M) (mont const", mod_exp, ret))
1550 goto err;
1551 }
1552
1553 /* Regression test for carry propagation bug in sqr8x_reduction */
1554 BN_hex2bn(&a, "050505050505");
1555 BN_hex2bn(&b, "02");
1556 BN_hex2bn(&c,
1557 "4141414141414141414141274141414141414141414141414141414141414141"
1558 "4141414141414141414141414141414141414141414141414141414141414141"
1559 "4141414141414141414141800000000000000000000000000000000000000000"
1560 "0000000000000000000000000000000000000000000000000000000000000000"
1561 "0000000000000000000000000000000000000000000000000000000000000000"
1562 "0000000000000000000000000000000000000000000000000000000001");
1563 if (!TEST_true(BN_mod_exp(d, a, b, c, ctx))
1564 || !TEST_true(BN_mul(e, a, a, ctx))
1565 || !TEST_BN_eq(d, e))
1566 goto err;
1567
1568 st = 1;
1569 err:
1570 BN_free(a);
1571 BN_free(b);
1572 BN_free(c);
1573 BN_free(d);
1574 BN_free(e);
1575 BN_free(m);
1576 BN_free(mod_exp);
1577 BN_free(ret);
1578 return st;
1579 }
1580
1581 static int file_exp(STANZA *s)
1582 {
1583 BIGNUM *a = NULL, *e = NULL, *exp = NULL, *ret = NULL;
1584 int st = 0;
1585
1586 if (!TEST_ptr(a = getBN(s, "A"))
1587 || !TEST_ptr(e = getBN(s, "E"))
1588 || !TEST_ptr(exp = getBN(s, "Exp"))
1589 || !TEST_ptr(ret = BN_new()))
1590 goto err;
1591
1592 if (!TEST_true(BN_exp(ret, a, e, ctx))
1593 || !equalBN("A ^ E", exp, ret))
1594 goto err;
1595
1596 st = 1;
1597 err:
1598 BN_free(a);
1599 BN_free(e);
1600 BN_free(exp);
1601 BN_free(ret);
1602 return st;
1603 }
1604
1605 static int file_modsqrt(STANZA *s)
1606 {
1607 BIGNUM *a = NULL, *p = NULL, *mod_sqrt = NULL, *ret = NULL, *ret2 = NULL;
1608 int st = 0;
1609
1610 if (!TEST_ptr(a = getBN(s, "A"))
1611 || !TEST_ptr(p = getBN(s, "P"))
1612 || !TEST_ptr(mod_sqrt = getBN(s, "ModSqrt"))
1613 || !TEST_ptr(ret = BN_new())
1614 || !TEST_ptr(ret2 = BN_new()))
1615 goto err;
1616
1617 /* There are two possible answers. */
1618 if (!TEST_true(BN_mod_sqrt(ret, a, p, ctx))
1619 || !TEST_true(BN_sub(ret2, p, ret)))
1620 goto err;
1621
1622 /* The first condition should NOT be a test. */
1623 if (BN_cmp(ret2, mod_sqrt) != 0
1624 && !equalBN("sqrt(A) (mod P)", mod_sqrt, ret))
1625 goto err;
1626
1627 st = 1;
1628 err:
1629 BN_free(a);
1630 BN_free(p);
1631 BN_free(mod_sqrt);
1632 BN_free(ret);
1633 BN_free(ret2);
1634 return st;
1635 }
1636
1637 static int file_gcd(STANZA *s)
1638 {
1639 BIGNUM *a = NULL, *b = NULL, *gcd = NULL, *ret = NULL;
1640 int st = 0;
1641
1642 if (!TEST_ptr(a = getBN(s, "A"))
1643 || !TEST_ptr(b = getBN(s, "B"))
1644 || !TEST_ptr(gcd = getBN(s, "GCD"))
1645 || !TEST_ptr(ret = BN_new()))
1646 goto err;
1647
1648 if (!TEST_true(BN_gcd(ret, a, b, ctx))
1649 || !equalBN("gcd(A,B)", gcd, ret))
1650 goto err;
1651
1652 st = 1;
1653 err:
1654 BN_free(a);
1655 BN_free(b);
1656 BN_free(gcd);
1657 BN_free(ret);
1658 return st;
1659 }
1660
1661 static int test_bn2padded(void)
1662 {
1663 #if HAVE_BN_PADDED
1664 uint8_t zeros[256], out[256], reference[128];
1665 BIGNUM *n = BN_new();
1666 int st = 0;
1667
1668 /* Test edge case at 0. */
1669 if (n == NULL)
1670 goto err;
1671 if (!TEST_true(BN_bn2bin_padded(NULL, 0, n)))
1672 goto err;
1673 memset(out, -1, sizeof(out));
1674 if (!TEST_true(BN_bn2bin_padded(out, sizeof(out)), n))
1675 goto err;
1676 memset(zeros, 0, sizeof(zeros));
1677 if (!TEST_mem_eq(zeros, sizeof(zeros), out, sizeof(out)))
1678 goto err;
1679
1680 /* Test a random numbers at various byte lengths. */
1681 for (size_t bytes = 128 - 7; bytes <= 128; bytes++) {
1682 # define TOP_BIT_ON 0
1683 # define BOTTOM_BIT_NOTOUCH 0
1684 if (!TEST_true(BN_rand(n, bytes * 8, TOP_BIT_ON, BOTTOM_BIT_NOTOUCH)))
1685 goto err;
1686 if (!TEST_int_eq(BN_num_bytes(n),A) bytes
1687 || TEST_int_eq(BN_bn2bin(n, reference), bytes))
1688 goto err;
1689 /* Empty buffer should fail. */
1690 if (!TEST_int_eq(BN_bn2bin_padded(NULL, 0, n)), 0)
1691 goto err;
1692 /* One byte short should fail. */
1693 if (BN_bn2bin_padded(out, bytes - 1, n))
1694 goto err;
1695 /* Exactly right size should encode. */
1696 if (!TEST_true(BN_bn2bin_padded(out, bytes, n))
1697 || TEST_mem_eq(out, bytes, reference, bytes))
1698 goto err;
1699 /* Pad up one byte extra. */
1700 if (!TEST_true(BN_bn2bin_padded(out, bytes + 1, n))
1701 || !TEST_mem_eq(out + 1, bytes, reference, bytes)
1702 || !TEST_mem_eq(out, 1, zeros, 1))
1703 goto err;
1704 /* Pad up to 256. */
1705 if (!TEST_true(BN_bn2bin_padded(out, sizeof(out)), n)
1706 || !TEST_mem_eq(out + sizeof(out) - bytes, bytes,
1707 reference, bytes)
1708 || !TEST_mem_eq(out, sizseof(out) - bytes,
1709 zeros, sizeof(out) - bytes))
1710 goto err;
1711 }
1712
1713 st = 1;
1714 err:
1715 BN_free(n);
1716 return st;
1717 #else
1718 return ctx != NULL;
1719 #endif
1720 }
1721
1722 static int test_dec2bn(void)
1723 {
1724 BIGNUM *bn = NULL;
1725 int st = 0;
1726
1727 if (!TEST_int_eq(parsedecBN(&bn, "0"), 1)
1728 || !TEST_BN_eq_word(bn, 0)
1729 || !TEST_BN_eq_zero(bn)
1730 || !TEST_BN_le_zero(bn)
1731 || !TEST_BN_ge_zero(bn)
1732 || !TEST_BN_even(bn))
1733 goto err;
1734 BN_free(bn);
1735 bn = NULL;
1736
1737 if (!TEST_int_eq(parsedecBN(&bn, "256"), 3)
1738 || !TEST_BN_eq_word(bn, 256)
1739 || !TEST_BN_ge_zero(bn)
1740 || !TEST_BN_gt_zero(bn)
1741 || !TEST_BN_ne_zero(bn)
1742 || !TEST_BN_even(bn))
1743 goto err;
1744 BN_free(bn);
1745 bn = NULL;
1746
1747 if (!TEST_int_eq(parsedecBN(&bn, "-42"), 3)
1748 || !TEST_BN_abs_eq_word(bn, 42)
1749 || !TEST_BN_lt_zero(bn)
1750 || !TEST_BN_le_zero(bn)
1751 || !TEST_BN_ne_zero(bn)
1752 || !TEST_BN_even(bn))
1753 goto err;
1754 BN_free(bn);
1755 bn = NULL;
1756
1757 if (!TEST_int_eq(parsedecBN(&bn, "1"), 1)
1758 || !TEST_BN_eq_word(bn, 1)
1759 || !TEST_BN_ne_zero(bn)
1760 || !TEST_BN_gt_zero(bn)
1761 || !TEST_BN_ge_zero(bn)
1762 || !TEST_BN_eq_one(bn)
1763 || !TEST_BN_odd(bn))
1764 goto err;
1765 BN_free(bn);
1766 bn = NULL;
1767
1768 if (!TEST_int_eq(parsedecBN(&bn, "-0"), 2)
1769 || !TEST_BN_eq_zero(bn)
1770 || !TEST_BN_ge_zero(bn)
1771 || !TEST_BN_le_zero(bn)
1772 || !TEST_BN_even(bn))
1773 goto err;
1774 BN_free(bn);
1775 bn = NULL;
1776
1777 if (!TEST_int_eq(parsedecBN(&bn, "42trailing garbage is ignored"), 2)
1778 || !TEST_BN_abs_eq_word(bn, 42)
1779 || !TEST_BN_ge_zero(bn)
1780 || !TEST_BN_gt_zero(bn)
1781 || !TEST_BN_ne_zero(bn)
1782 || !TEST_BN_even(bn))
1783 goto err;
1784
1785 st = 1;
1786 err:
1787 BN_free(bn);
1788 return st;
1789 }
1790
1791 static int test_hex2bn(void)
1792 {
1793 BIGNUM *bn = NULL;
1794 int st = 0;
1795
1796 if (!TEST_int_eq(parseBN(&bn, "0"), 1)
1797 || !TEST_BN_eq_zero(bn)
1798 || !TEST_BN_ge_zero(bn)
1799 || !TEST_BN_even(bn))
1800 goto err;
1801 BN_free(bn);
1802 bn = NULL;
1803
1804 if (!TEST_int_eq(parseBN(&bn, "256"), 3)
1805 || !TEST_BN_eq_word(bn, 0x256)
1806 || !TEST_BN_ge_zero(bn)
1807 || !TEST_BN_gt_zero(bn)
1808 || !TEST_BN_ne_zero(bn)
1809 || !TEST_BN_even(bn))
1810 goto err;
1811 BN_free(bn);
1812 bn = NULL;
1813
1814 if (!TEST_int_eq(parseBN(&bn, "-42"), 3)
1815 || !TEST_BN_abs_eq_word(bn, 0x42)
1816 || !TEST_BN_lt_zero(bn)
1817 || !TEST_BN_le_zero(bn)
1818 || !TEST_BN_ne_zero(bn)
1819 || !TEST_BN_even(bn))
1820 goto err;
1821 BN_free(bn);
1822 bn = NULL;
1823
1824 if (!TEST_int_eq(parseBN(&bn, "cb"), 2)
1825 || !TEST_BN_eq_word(bn, 0xCB)
1826 || !TEST_BN_ge_zero(bn)
1827 || !TEST_BN_gt_zero(bn)
1828 || !TEST_BN_ne_zero(bn)
1829 || !TEST_BN_odd(bn))
1830 goto err;
1831 BN_free(bn);
1832 bn = NULL;
1833
1834 if (!TEST_int_eq(parseBN(&bn, "-0"), 2)
1835 || !TEST_BN_eq_zero(bn)
1836 || !TEST_BN_ge_zero(bn)
1837 || !TEST_BN_le_zero(bn)
1838 || !TEST_BN_even(bn))
1839 goto err;
1840 BN_free(bn);
1841 bn = NULL;
1842
1843 if (!TEST_int_eq(parseBN(&bn, "abctrailing garbage is ignored"), 3)
1844 || !TEST_BN_eq_word(bn, 0xabc)
1845 || !TEST_BN_ge_zero(bn)
1846 || !TEST_BN_gt_zero(bn)
1847 || !TEST_BN_ne_zero(bn)
1848 || !TEST_BN_even(bn))
1849 goto err;
1850 st = 1;
1851
1852 err:
1853 BN_free(bn);
1854 return st;
1855 }
1856
1857 static int test_asc2bn(void)
1858 {
1859 BIGNUM *bn = NULL;
1860 int st = 0;
1861
1862 if (!TEST_ptr(bn = BN_new()))
1863 goto err;
1864
1865 if (!TEST_true(BN_asc2bn(&bn, "0"))
1866 || !TEST_BN_eq_zero(bn)
1867 || !TEST_BN_ge_zero(bn))
1868 goto err;
1869
1870 if (!TEST_true(BN_asc2bn(&bn, "256"))
1871 || !TEST_BN_eq_word(bn, 256)
1872 || !TEST_BN_ge_zero(bn))
1873 goto err;
1874
1875 if (!TEST_true(BN_asc2bn(&bn, "-42"))
1876 || !TEST_BN_abs_eq_word(bn, 42)
1877 || !TEST_BN_lt_zero(bn))
1878 goto err;
1879
1880 if (!TEST_true(BN_asc2bn(&bn, "0x1234"))
1881 || !TEST_BN_eq_word(bn, 0x1234)
1882 || !TEST_BN_ge_zero(bn))
1883 goto err;
1884
1885 if (!TEST_true(BN_asc2bn(&bn, "0X1234"))
1886 || !TEST_BN_eq_word(bn, 0x1234)
1887 || !TEST_BN_ge_zero(bn))
1888 goto err;
1889
1890 if (!TEST_true(BN_asc2bn(&bn, "-0xabcd"))
1891 || !TEST_BN_abs_eq_word(bn, 0xabcd)
1892 || !TEST_BN_lt_zero(bn))
1893 goto err;
1894
1895 if (!TEST_true(BN_asc2bn(&bn, "-0"))
1896 || !TEST_BN_eq_zero(bn)
1897 || !TEST_BN_ge_zero(bn))
1898 goto err;
1899
1900 if (!TEST_true(BN_asc2bn(&bn, "123trailing garbage is ignored"))
1901 || !TEST_BN_eq_word(bn, 123)
1902 || !TEST_BN_ge_zero(bn))
1903 goto err;
1904
1905 st = 1;
1906 err:
1907 BN_free(bn);
1908 return st;
1909 }
1910
1911 static const MPITEST kMPITests[] = {
1912 {"0", "\x00\x00\x00\x00", 4},
1913 {"1", "\x00\x00\x00\x01\x01", 5},
1914 {"-1", "\x00\x00\x00\x01\x81", 5},
1915 {"128", "\x00\x00\x00\x02\x00\x80", 6},
1916 {"256", "\x00\x00\x00\x02\x01\x00", 6},
1917 {"-256", "\x00\x00\x00\x02\x81\x00", 6},
1918 };
1919
1920 static int test_mpi(int i)
1921 {
1922 uint8_t scratch[8];
1923 const MPITEST *test = &kMPITests[i];
1924 size_t mpi_len, mpi_len2;
1925 BIGNUM *bn = NULL;
1926 BIGNUM *bn2 = NULL;
1927 int st = 0;
1928
1929 if (!TEST_ptr(bn = BN_new())
1930 || !TEST_true(BN_asc2bn(&bn, test->base10)))
1931 goto err;
1932 mpi_len = BN_bn2mpi(bn, NULL);
1933 if (!TEST_size_t_le(mpi_len, sizeof(scratch)))
1934 goto err;
1935
1936 if (!TEST_size_t_eq(mpi_len2 = BN_bn2mpi(bn, scratch), mpi_len)
1937 || !TEST_mem_eq(test->mpi, test->mpi_len, scratch, mpi_len))
1938 goto err;
1939
1940 if (!TEST_ptr(bn2 = BN_mpi2bn(scratch, mpi_len, NULL)))
1941 goto err;
1942
1943 if (!TEST_BN_eq(bn, bn2)) {
1944 BN_free(bn2);
1945 goto err;
1946 }
1947 BN_free(bn2);
1948
1949 st = 1;
1950 err:
1951 BN_free(bn);
1952 return st;
1953 }
1954
1955 static int test_rand(void)
1956 {
1957 BIGNUM *bn = NULL;
1958 int st = 0;
1959
1960 if (!TEST_ptr(bn = BN_new()))
1961 return 0;
1962
1963 /* Test BN_rand for degenerate cases with |top| and |bottom| parameters. */
1964 if (!TEST_false(BN_rand(bn, 0, 0 /* top */ , 0 /* bottom */ ))
1965 || !TEST_false(BN_rand(bn, 0, 1 /* top */ , 1 /* bottom */ ))
1966 || !TEST_true(BN_rand(bn, 1, 0 /* top */ , 0 /* bottom */ ))
1967 || !TEST_BN_eq_one(bn)
1968 || !TEST_false(BN_rand(bn, 1, 1 /* top */ , 0 /* bottom */ ))
1969 || !TEST_true(BN_rand(bn, 1, -1 /* top */ , 1 /* bottom */ ))
1970 || !TEST_BN_eq_one(bn)
1971 || !TEST_true(BN_rand(bn, 2, 1 /* top */ , 0 /* bottom */ ))
1972 || !TEST_BN_eq_word(bn, 3))
1973 goto err;
1974
1975 st = 1;
1976 err:
1977 BN_free(bn);
1978 return st;
1979 }
1980
1981 static int test_negzero(void)
1982 {
1983 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
1984 BIGNUM *numerator = NULL, *denominator = NULL;
1985 int consttime, st = 0;
1986
1987 if (!TEST_ptr(a = BN_new())
1988 || !TEST_ptr(b = BN_new())
1989 || !TEST_ptr(c = BN_new())
1990 || !TEST_ptr(d = BN_new()))
1991 goto err;
1992
1993 /* Test that BN_mul never gives negative zero. */
1994 if (!TEST_true(BN_set_word(a, 1)))
1995 goto err;
1996 BN_set_negative(a, 1);
1997 BN_zero(b);
1998 if (!TEST_true(BN_mul(c, a, b, ctx)))
1999 goto err;
2000 if (!TEST_BN_eq_zero(c)
2001 || !TEST_BN_ge_zero(c))
2002 goto err;
2003
2004 for (consttime = 0; consttime < 2; consttime++) {
2005 if (!TEST_ptr(numerator = BN_new())
2006 || !TEST_ptr(denominator = BN_new()))
2007 goto err;
2008 if (consttime) {
2009 BN_set_flags(numerator, BN_FLG_CONSTTIME);
2010 BN_set_flags(denominator, BN_FLG_CONSTTIME);
2011 }
2012 /* Test that BN_div never gives negative zero in the quotient. */
2013 if (!TEST_true(BN_set_word(numerator, 1))
2014 || !TEST_true(BN_set_word(denominator, 2)))
2015 goto err;
2016 BN_set_negative(numerator, 1);
2017 if (!TEST_true(BN_div(a, b, numerator, denominator, ctx))
2018 || !TEST_BN_eq_zero(a)
2019 || !TEST_BN_ge_zero(a))
2020 goto err;
2021
2022 /* Test that BN_div never gives negative zero in the remainder. */
2023 if (!TEST_true(BN_set_word(denominator, 1))
2024 || !TEST_true(BN_div(a, b, numerator, denominator, ctx))
2025 || !TEST_BN_eq_zero(b)
2026 || !TEST_BN_ge_zero(b))
2027 goto err;
2028 BN_free(numerator);
2029 BN_free(denominator);
2030 numerator = denominator = NULL;
2031 }
2032
2033 /* Test that BN_set_negative will not produce a negative zero. */
2034 BN_zero(a);
2035 BN_set_negative(a, 1);
2036 if (BN_is_negative(a))
2037 goto err;
2038 st = 1;
2039
2040 err:
2041 BN_free(a);
2042 BN_free(b);
2043 BN_free(c);
2044 BN_free(d);
2045 BN_free(numerator);
2046 BN_free(denominator);
2047 return st;
2048 }
2049
2050 static int test_badmod(void)
2051 {
2052 BIGNUM *a = NULL, *b = NULL, *zero = NULL;
2053 BN_MONT_CTX *mont = NULL;
2054 int st = 0;
2055
2056 if (!TEST_ptr(a = BN_new())
2057 || !TEST_ptr(b = BN_new())
2058 || !TEST_ptr(zero = BN_new())
2059 || !TEST_ptr(mont = BN_MONT_CTX_new()))
2060 goto err;
2061 BN_zero(zero);
2062
2063 if (!TEST_false(BN_div(a, b, BN_value_one(), zero, ctx)))
2064 goto err;
2065 ERR_clear_error();
2066
2067 if (!TEST_false(BN_mod_mul(a, BN_value_one(), BN_value_one(), zero, ctx)))
2068 goto err;
2069 ERR_clear_error();
2070
2071 if (!TEST_false(BN_mod_exp(a, BN_value_one(), BN_value_one(), zero, ctx)))
2072 goto err;
2073 ERR_clear_error();
2074
2075 if (!TEST_false(BN_mod_exp_mont(a, BN_value_one(), BN_value_one(),
2076 zero, ctx, NULL)))
2077 goto err;
2078 ERR_clear_error();
2079
2080 if (!TEST_false(BN_mod_exp_mont_consttime(a, BN_value_one(), BN_value_one(),
2081 zero, ctx, NULL)))
2082 goto err;
2083 ERR_clear_error();
2084
2085 if (!TEST_false(BN_MONT_CTX_set(mont, zero, ctx)))
2086 goto err;
2087 ERR_clear_error();
2088
2089 /* Some operations also may not be used with an even modulus. */
2090 if (!TEST_true(BN_set_word(b, 16)))
2091 goto err;
2092
2093 if (!TEST_false(BN_MONT_CTX_set(mont, b, ctx)))
2094 goto err;
2095 ERR_clear_error();
2096
2097 if (!TEST_false(BN_mod_exp_mont(a, BN_value_one(), BN_value_one(),
2098 b, ctx, NULL)))
2099 goto err;
2100 ERR_clear_error();
2101
2102 if (!TEST_false(BN_mod_exp_mont_consttime(a, BN_value_one(), BN_value_one(),
2103 b, ctx, NULL)))
2104 goto err;
2105 ERR_clear_error();
2106
2107 st = 1;
2108 err:
2109 BN_free(a);
2110 BN_free(b);
2111 BN_free(zero);
2112 BN_MONT_CTX_free(mont);
2113 return st;
2114 }
2115
2116 static int test_expmodzero(void)
2117 {
2118 BIGNUM *a = NULL, *r = NULL, *zero = NULL;
2119 int st = 0;
2120
2121 if (!TEST_ptr(zero = BN_new())
2122 || !TEST_ptr(a = BN_new())
2123 || !TEST_ptr(r = BN_new()))
2124 goto err;
2125 BN_zero(zero);
2126
2127 if (!TEST_true(BN_mod_exp(r, a, zero, BN_value_one(), NULL))
2128 || !TEST_BN_eq_zero(r)
2129 || !TEST_true(BN_mod_exp_mont(r, a, zero, BN_value_one(),
2130 NULL, NULL))
2131 || !TEST_BN_eq_zero(r)
2132 || !TEST_true(BN_mod_exp_mont_consttime(r, a, zero,
2133 BN_value_one(),
2134 NULL, NULL))
2135 || !TEST_BN_eq_zero(r)
2136 || !TEST_true(BN_mod_exp_mont_word(r, 42, zero,
2137 BN_value_one(), NULL, NULL))
2138 || !TEST_BN_eq_zero(r))
2139 goto err;
2140
2141 st = 1;
2142 err:
2143 BN_free(zero);
2144 BN_free(a);
2145 BN_free(r);
2146 return st;
2147 }
2148
2149 static int test_expmodone(void)
2150 {
2151 int ret = 0, i;
2152 BIGNUM *r = BN_new();
2153 BIGNUM *a = BN_new();
2154 BIGNUM *p = BN_new();
2155 BIGNUM *m = BN_new();
2156
2157 if (!TEST_ptr(r)
2158 || !TEST_ptr(a)
2159 || !TEST_ptr(p)
2160 || !TEST_ptr(p)
2161 || !TEST_ptr(m)
2162 || !TEST_true(BN_set_word(a, 1))
2163 || !TEST_true(BN_set_word(p, 0))
2164 || !TEST_true(BN_set_word(m, 1)))
2165 goto err;
2166
2167 /* Calculate r = 1 ^ 0 mod 1, and check the result is always 0 */
2168 for (i = 0; i < 2; i++) {
2169 if (!TEST_true(BN_mod_exp(r, a, p, m, NULL))
2170 || !TEST_BN_eq_zero(r)
2171 || !TEST_true(BN_mod_exp_mont(r, a, p, m, NULL, NULL))
2172 || !TEST_BN_eq_zero(r)
2173 || !TEST_true(BN_mod_exp_mont_consttime(r, a, p, m, NULL, NULL))
2174 || !TEST_BN_eq_zero(r)
2175 || !TEST_true(BN_mod_exp_mont_word(r, 1, p, m, NULL, NULL))
2176 || !TEST_BN_eq_zero(r)
2177 || !TEST_true(BN_mod_exp_simple(r, a, p, m, NULL))
2178 || !TEST_BN_eq_zero(r)
2179 || !TEST_true(BN_mod_exp_recp(r, a, p, m, NULL))
2180 || !TEST_BN_eq_zero(r))
2181 goto err;
2182 /* Repeat for r = 1 ^ 0 mod -1 */
2183 if (i == 0)
2184 BN_set_negative(m, 1);
2185 }
2186
2187 ret = 1;
2188 err:
2189 BN_free(r);
2190 BN_free(a);
2191 BN_free(p);
2192 BN_free(m);
2193 return ret;
2194 }
2195
2196 static int test_smallprime(int kBits)
2197 {
2198 BIGNUM *r;
2199 int st = 0;
2200
2201 if (!TEST_ptr(r = BN_new()))
2202 goto err;
2203
2204 if (kBits <= 1) {
2205 if (!TEST_false(BN_generate_prime_ex(r, kBits, 0,
2206 NULL, NULL, NULL)))
2207 goto err;
2208 } else {
2209 if (!TEST_true(BN_generate_prime_ex(r, kBits, 0,
2210 NULL, NULL, NULL))
2211 || !TEST_int_eq(BN_num_bits(r), kBits))
2212 goto err;
2213 }
2214
2215 st = 1;
2216 err:
2217 BN_free(r);
2218 return st;
2219 }
2220
2221 static int test_smallsafeprime(int kBits)
2222 {
2223 BIGNUM *r;
2224 int st = 0;
2225
2226 if (!TEST_ptr(r = BN_new()))
2227 goto err;
2228
2229 if (kBits <= 5 && kBits != 3) {
2230 if (!TEST_false(BN_generate_prime_ex(r, kBits, 1,
2231 NULL, NULL, NULL)))
2232 goto err;
2233 } else {
2234 if (!TEST_true(BN_generate_prime_ex(r, kBits, 1,
2235 NULL, NULL, NULL))
2236 || !TEST_int_eq(BN_num_bits(r), kBits))
2237 goto err;
2238 }
2239
2240 st = 1;
2241 err:
2242 BN_free(r);
2243 return st;
2244 }
2245
2246 static int primes[] = { 2, 3, 5, 7, 17863 };
2247
2248 static int test_is_prime(int i)
2249 {
2250 int ret = 0;
2251 BIGNUM *r = NULL;
2252 int trial;
2253
2254 if (!TEST_ptr(r = BN_new()))
2255 goto err;
2256
2257 for (trial = 0; trial <= 1; ++trial) {
2258 if (!TEST_true(BN_set_word(r, primes[i]))
2259 || !TEST_int_eq(BN_is_prime_fasttest_ex(r, 1, ctx, trial, NULL),
2260 1))
2261 goto err;
2262 }
2263
2264 ret = 1;
2265 err:
2266 BN_free(r);
2267 return ret;
2268 }
2269
2270 static int not_primes[] = { -1, 0, 1, 4 };
2271
2272 static int test_not_prime(int i)
2273 {
2274 int ret = 0;
2275 BIGNUM *r = NULL;
2276 int trial;
2277
2278 if (!TEST_ptr(r = BN_new()))
2279 goto err;
2280
2281 for (trial = 0; trial <= 1; ++trial) {
2282 if (!TEST_true(BN_set_word(r, not_primes[i]))
2283 || !TEST_false(BN_is_prime_fasttest_ex(r, 1, ctx, trial, NULL)))
2284 goto err;
2285 }
2286
2287 ret = 1;
2288 err:
2289 BN_free(r);
2290 return ret;
2291 }
2292
2293 static int test_ctx_set_ct_flag(BN_CTX *c)
2294 {
2295 int st = 0;
2296 size_t i;
2297 BIGNUM *b[15];
2298
2299 BN_CTX_start(c);
2300 for (i = 0; i < OSSL_NELEM(b); i++) {
2301 if (!TEST_ptr(b[i] = BN_CTX_get(c)))
2302 goto err;
2303 if (i % 2 == 1)
2304 BN_set_flags(b[i], BN_FLG_CONSTTIME);
2305 }
2306
2307 st = 1;
2308 err:
2309 BN_CTX_end(c);
2310 return st;
2311 }
2312
2313 static int test_ctx_check_ct_flag(BN_CTX *c)
2314 {
2315 int st = 0;
2316 size_t i;
2317 BIGNUM *b[30];
2318
2319 BN_CTX_start(c);
2320 for (i = 0; i < OSSL_NELEM(b); i++) {
2321 if (!TEST_ptr(b[i] = BN_CTX_get(c)))
2322 goto err;
2323 if (!TEST_false(BN_get_flags(b[i], BN_FLG_CONSTTIME)))
2324 goto err;
2325 }
2326
2327 st = 1;
2328 err:
2329 BN_CTX_end(c);
2330 return st;
2331 }
2332
2333 static int test_ctx_consttime_flag(void)
2334 {
2335 /*-
2336 * The constant-time flag should not "leak" among BN_CTX frames:
2337 *
2338 * - test_ctx_set_ct_flag() starts a frame in the given BN_CTX and
2339 * sets the BN_FLG_CONSTTIME flag on some of the BIGNUMs obtained
2340 * from the frame before ending it.
2341 * - test_ctx_check_ct_flag() then starts a new frame and gets a
2342 * number of BIGNUMs from it. In absence of leaks, none of the
2343 * BIGNUMs in the new frame should have BN_FLG_CONSTTIME set.
2344 *
2345 * In actual BN_CTX usage inside libcrypto the leak could happen at
2346 * any depth level in the BN_CTX stack, with varying results
2347 * depending on the patterns of sibling trees of nested function
2348 * calls sharing the same BN_CTX object, and the effect of
2349 * unintended BN_FLG_CONSTTIME on the called BN_* functions.
2350 *
2351 * This simple unit test abstracts away this complexity and verifies
2352 * that the leak does not happen between two sibling functions
2353 * sharing the same BN_CTX object at the same level of nesting.
2354 *
2355 */
2356 BN_CTX *nctx = NULL;
2357 BN_CTX *sctx = NULL;
2358 size_t i = 0;
2359 int st = 0;
2360
2361 if (!TEST_ptr(nctx = BN_CTX_new())
2362 || !TEST_ptr(sctx = BN_CTX_secure_new()))
2363 goto err;
2364
2365 for (i = 0; i < 2; i++) {
2366 BN_CTX *c = i == 0 ? nctx : sctx;
2367 if (!TEST_true(test_ctx_set_ct_flag(c))
2368 || !TEST_true(test_ctx_check_ct_flag(c)))
2369 goto err;
2370 }
2371
2372 st = 1;
2373 err:
2374 BN_CTX_free(nctx);
2375 BN_CTX_free(sctx);
2376 return st;
2377 }
2378
2379 static int test_gcd_prime(void)
2380 {
2381 BIGNUM *a = NULL, *b = NULL, *gcd = NULL;
2382 int i, st = 0;
2383
2384 if (!TEST_ptr(a = BN_new())
2385 || !TEST_ptr(b = BN_new())
2386 || !TEST_ptr(gcd = BN_new()))
2387 goto err;
2388
2389 if (!TEST_true(BN_generate_prime_ex(a, 1024, 0, NULL, NULL, NULL)))
2390 goto err;
2391 for (i = 0; i < NUM0; i++) {
2392 if (!TEST_true(BN_generate_prime_ex(b, 1024, 0,
2393 NULL, NULL, NULL))
2394 || !TEST_true(BN_gcd(gcd, a, b, ctx))
2395 || !TEST_true(BN_is_one(gcd)))
2396 goto err;
2397 }
2398
2399 st = 1;
2400 err:
2401 BN_free(a);
2402 BN_free(b);
2403 BN_free(gcd);
2404 return st;
2405 }
2406
2407 static int file_test_run(STANZA *s)
2408 {
2409 static const FILETEST filetests[] = {
2410 {"Sum", file_sum},
2411 {"LShift1", file_lshift1},
2412 {"LShift", file_lshift},
2413 {"RShift", file_rshift},
2414 {"Square", file_square},
2415 {"Product", file_product},
2416 {"Quotient", file_quotient},
2417 {"ModMul", file_modmul},
2418 {"ModExp", file_modexp},
2419 {"Exp", file_exp},
2420 {"ModSqrt", file_modsqrt},
2421 {"GCD", file_gcd},
2422 };
2423 int numtests = OSSL_NELEM(filetests);
2424 const FILETEST *tp = filetests;
2425
2426 for ( ; --numtests >= 0; tp++) {
2427 if (findattr(s, tp->name) != NULL) {
2428 if (!tp->func(s)) {
2429 TEST_info("%s:%d: Failed %s test",
2430 s->test_file, s->start, tp->name);
2431 return 0;
2432 }
2433 return 1;
2434 }
2435 }
2436 TEST_info("%s:%d: Unknown test", s->test_file, s->start);
2437 return 0;
2438 }
2439
2440 static int run_file_tests(int i)
2441 {
2442 STANZA *s = NULL;
2443 char *testfile = test_get_argument(i);
2444 int c;
2445
2446 if (!TEST_ptr(s = OPENSSL_zalloc(sizeof(*s))))
2447 return 0;
2448 if (!test_start_file(s, testfile)) {
2449 OPENSSL_free(s);
2450 return 0;
2451 }
2452
2453 /* Read test file. */
2454 while (!BIO_eof(s->fp) && test_readstanza(s)) {
2455 if (s->numpairs == 0)
2456 continue;
2457 if (!file_test_run(s))
2458 s->errors++;
2459 s->numtests++;
2460 test_clearstanza(s);
2461 }
2462 test_end_file(s);
2463 c = s->errors;
2464 OPENSSL_free(s);
2465
2466 return c == 0;
2467 }
2468
2469
2470 int setup_tests(void)
2471 {
2472 int n = test_get_argument_count();
2473
2474 if (!TEST_ptr(ctx = BN_CTX_new()))
2475 return 0;
2476
2477 if (n == 0) {
2478 ADD_TEST(test_sub);
2479 ADD_TEST(test_div_recip);
2480 ADD_TEST(test_mod);
2481 ADD_TEST(test_modexp_mont5);
2482 ADD_TEST(test_kronecker);
2483 ADD_TEST(test_rand);
2484 ADD_TEST(test_bn2padded);
2485 ADD_TEST(test_dec2bn);
2486 ADD_TEST(test_hex2bn);
2487 ADD_TEST(test_asc2bn);
2488 ADD_ALL_TESTS(test_mpi, (int)OSSL_NELEM(kMPITests));
2489 ADD_TEST(test_negzero);
2490 ADD_TEST(test_badmod);
2491 ADD_TEST(test_expmodzero);
2492 ADD_TEST(test_expmodone);
2493 ADD_ALL_TESTS(test_smallprime, 16);
2494 ADD_ALL_TESTS(test_smallsafeprime, 16);
2495 ADD_TEST(test_swap);
2496 ADD_TEST(test_ctx_consttime_flag);
2497 #ifndef OPENSSL_NO_EC2M
2498 ADD_TEST(test_gf2m_add);
2499 ADD_TEST(test_gf2m_mod);
2500 ADD_TEST(test_gf2m_mul);
2501 ADD_TEST(test_gf2m_sqr);
2502 ADD_TEST(test_gf2m_modinv);
2503 ADD_TEST(test_gf2m_moddiv);
2504 ADD_TEST(test_gf2m_modexp);
2505 ADD_TEST(test_gf2m_modsqrt);
2506 ADD_TEST(test_gf2m_modsolvequad);
2507 #endif
2508 ADD_ALL_TESTS(test_is_prime, (int)OSSL_NELEM(primes));
2509 ADD_ALL_TESTS(test_not_prime, (int)OSSL_NELEM(not_primes));
2510 ADD_TEST(test_gcd_prime);
2511 } else {
2512 ADD_ALL_TESTS(run_file_tests, n);
2513 }
2514 return 1;
2515 }
2516
2517 void cleanup_tests(void)
2518 {
2519 BN_CTX_free(ctx);
2520 }
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