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1/*
2 * Copyright 1995-2023 The OpenSSL Project Authors. All Rights Reserved.
3 *
4 * Licensed under the Apache License 2.0 (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#ifdef __TANDEM
14# include <strings.h> /* strcasecmp */
15#endif
16#include <ctype.h>
17
18#include <openssl/bn.h>
19#include <openssl/crypto.h>
20#include <openssl/err.h>
21#include <openssl/rand.h>
22#include "internal/nelem.h"
23#include "internal/numbers.h"
24#include "testutil.h"
25
26/*
27 * Things in boring, not in openssl.
28 */
29#define HAVE_BN_SQRT 0
30
31typedef struct filetest_st {
32 const char *name;
33 int (*func)(STANZA *s);
34} FILETEST;
35
36typedef struct mpitest_st {
37 const char *base10;
38 const char *mpi;
39 size_t mpi_len;
40} MPITEST;
41
42static const int NUM0 = 100; /* number of tests */
43static const int NUM1 = 50; /* additional tests for some functions */
44static const int NUM_PRIME_TESTS = 20;
45static BN_CTX *ctx;
46
47/*
48 * Polynomial coefficients used in GFM tests.
49 */
50#ifndef OPENSSL_NO_EC2M
51static int p0[] = { 163, 7, 6, 3, 0, -1 };
52static int p1[] = { 193, 15, 0, -1 };
53#endif
54
55/*
56 * Look for |key| in the stanza and return it or NULL if not found.
57 */
58static const char *findattr(STANZA *s, const char *key)
59{
60 int i = s->numpairs;
61 PAIR *pp = s->pairs;
62
63 for ( ; --i >= 0; pp++)
64 if (OPENSSL_strcasecmp(pp->key, key) == 0)
65 return pp->value;
66 return NULL;
67}
68
69/*
70 * Parse BIGNUM from sparse hex-strings, return |BN_hex2bn| result.
71 */
72static int parse_bigBN(BIGNUM **out, const char *bn_strings[])
73{
74 char *bigstring = glue_strings(bn_strings, NULL);
75 int ret = BN_hex2bn(out, bigstring);
76
77 OPENSSL_free(bigstring);
78 return ret;
79}
80
81/*
82 * Parse BIGNUM, return number of bytes parsed.
83 */
84static int parseBN(BIGNUM **out, const char *in)
85{
86 *out = NULL;
87 return BN_hex2bn(out, in);
88}
89
90static int parsedecBN(BIGNUM **out, const char *in)
91{
92 *out = NULL;
93 return BN_dec2bn(out, in);
94}
95
96static BIGNUM *getBN(STANZA *s, const char *attribute)
97{
98 const char *hex;
99 BIGNUM *ret = NULL;
100
101 if ((hex = findattr(s, attribute)) == NULL) {
102 TEST_error("%s:%d: Can't find %s", s->test_file, s->start, attribute);
103 return NULL;
104 }
105
106 if (parseBN(&ret, hex) != (int)strlen(hex)) {
107 TEST_error("Could not decode '%s'", hex);
108 return NULL;
109 }
110 return ret;
111}
112
113static int getint(STANZA *s, int *out, const char *attribute)
114{
115 BIGNUM *ret;
116 BN_ULONG word;
117 int st = 0;
118
119 if (!TEST_ptr(ret = getBN(s, attribute))
120 || !TEST_ulong_le(word = BN_get_word(ret), INT_MAX))
121 goto err;
122
123 *out = (int)word;
124 st = 1;
125 err:
126 BN_free(ret);
127 return st;
128}
129
130static int equalBN(const char *op, const BIGNUM *expected, const BIGNUM *actual)
131{
132 if (BN_cmp(expected, actual) == 0)
133 return 1;
134
135 TEST_error("unexpected %s value", op);
136 TEST_BN_eq(expected, actual);
137 return 0;
138}
139
140/*
141 * Return a "random" flag for if a BN should be negated.
142 */
143static int rand_neg(void)
144{
145 static unsigned int neg = 0;
146 static int sign[8] = { 0, 0, 0, 1, 1, 0, 1, 1 };
147
148 return sign[(neg++) % 8];
149}
150
151static int test_swap(void)
152{
153 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
154 int top, cond, st = 0;
155
156 if (!TEST_ptr(a = BN_new())
157 || !TEST_ptr(b = BN_new())
158 || !TEST_ptr(c = BN_new())
159 || !TEST_ptr(d = BN_new()))
160 goto err;
161
162 if (!(TEST_true(BN_bntest_rand(a, 1024, 1, 0))
163 && TEST_true(BN_bntest_rand(b, 1024, 1, 0))
164 && TEST_ptr(BN_copy(c, a))
165 && TEST_ptr(BN_copy(d, b))))
166 goto err;
167 top = BN_num_bits(a) / BN_BITS2;
168
169 /* regular swap */
170 BN_swap(a, b);
171 if (!equalBN("swap", a, d)
172 || !equalBN("swap", b, c))
173 goto err;
174
175 /* regular swap: same pointer */
176 BN_swap(a, a);
177 if (!equalBN("swap with same pointer", a, d))
178 goto err;
179
180 /* conditional swap: true */
181 cond = 1;
182 BN_consttime_swap(cond, a, b, top);
183 if (!equalBN("cswap true", a, c)
184 || !equalBN("cswap true", b, d))
185 goto err;
186
187 /* conditional swap: true, same pointer */
188 BN_consttime_swap(cond, a, a, top);
189 if (!equalBN("cswap true", a, c))
190 goto err;
191
192 /* conditional swap: false */
193 cond = 0;
194 BN_consttime_swap(cond, a, b, top);
195 if (!equalBN("cswap false", a, c)
196 || !equalBN("cswap false", b, d))
197 goto err;
198
199 /* conditional swap: false, same pointer */
200 BN_consttime_swap(cond, a, a, top);
201 if (!equalBN("cswap false", a, c))
202 goto err;
203
204 /* same tests but checking flag swap */
205 BN_set_flags(a, BN_FLG_CONSTTIME);
206
207 BN_swap(a, b);
208 if (!equalBN("swap, flags", a, d)
209 || !equalBN("swap, flags", b, c)
210 || !TEST_true(BN_get_flags(b, BN_FLG_CONSTTIME))
211 || !TEST_false(BN_get_flags(a, BN_FLG_CONSTTIME)))
212 goto err;
213
214 cond = 1;
215 BN_consttime_swap(cond, a, b, top);
216 if (!equalBN("cswap true, flags", a, c)
217 || !equalBN("cswap true, flags", b, d)
218 || !TEST_true(BN_get_flags(a, BN_FLG_CONSTTIME))
219 || !TEST_false(BN_get_flags(b, BN_FLG_CONSTTIME)))
220 goto err;
221
222 cond = 0;
223 BN_consttime_swap(cond, a, b, top);
224 if (!equalBN("cswap false, flags", a, c)
225 || !equalBN("cswap false, flags", b, d)
226 || !TEST_true(BN_get_flags(a, BN_FLG_CONSTTIME))
227 || !TEST_false(BN_get_flags(b, BN_FLG_CONSTTIME)))
228 goto err;
229
230 st = 1;
231 err:
232 BN_free(a);
233 BN_free(b);
234 BN_free(c);
235 BN_free(d);
236 return st;
237}
238
239static int test_sub(void)
240{
241 BIGNUM *a = NULL, *b = NULL, *c = NULL;
242 int i, st = 0;
243
244 if (!TEST_ptr(a = BN_new())
245 || !TEST_ptr(b = BN_new())
246 || !TEST_ptr(c = BN_new()))
247 goto err;
248
249 for (i = 0; i < NUM0 + NUM1; i++) {
250 if (i < NUM1) {
251 if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0)))
252 && TEST_ptr(BN_copy(b, a))
253 && TEST_int_ne(BN_set_bit(a, i), 0)
254 && TEST_true(BN_add_word(b, i)))
255 goto err;
256 } else {
257 if (!TEST_true(BN_bntest_rand(b, 400 + i - NUM1, 0, 0)))
258 goto err;
259 BN_set_negative(a, rand_neg());
260 BN_set_negative(b, rand_neg());
261 }
262 if (!(TEST_true(BN_sub(c, a, b))
263 && TEST_true(BN_add(c, c, b))
264 && TEST_true(BN_sub(c, c, a))
265 && TEST_BN_eq_zero(c)))
266 goto err;
267 }
268 st = 1;
269 err:
270 BN_free(a);
271 BN_free(b);
272 BN_free(c);
273 return st;
274}
275
276static int test_div_recip(void)
277{
278 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;
279 BN_RECP_CTX *recp = NULL;
280 int st = 0, i;
281
282 if (!TEST_ptr(a = BN_new())
283 || !TEST_ptr(b = BN_new())
284 || !TEST_ptr(c = BN_new())
285 || !TEST_ptr(d = BN_new())
286 || !TEST_ptr(e = BN_new())
287 || !TEST_ptr(recp = BN_RECP_CTX_new()))
288 goto err;
289
290 for (i = 0; i < NUM0 + NUM1; i++) {
291 if (i < NUM1) {
292 if (!(TEST_true(BN_bntest_rand(a, 400, 0, 0))
293 && TEST_ptr(BN_copy(b, a))
294 && TEST_true(BN_lshift(a, a, i))
295 && TEST_true(BN_add_word(a, i))))
296 goto err;
297 } else {
298 if (!(TEST_true(BN_bntest_rand(b, 50 + 3 * (i - NUM1), 0, 0))))
299 goto err;
300 }
301 BN_set_negative(a, rand_neg());
302 BN_set_negative(b, rand_neg());
303 if (!(TEST_true(BN_RECP_CTX_set(recp, b, ctx))
304 && TEST_true(BN_div_recp(d, c, a, recp, ctx))
305 && TEST_true(BN_mul(e, d, b, ctx))
306 && TEST_true(BN_add(d, e, c))
307 && TEST_true(BN_sub(d, d, a))
308 && TEST_BN_eq_zero(d)))
309 goto err;
310 }
311 st = 1;
312 err:
313 BN_free(a);
314 BN_free(b);
315 BN_free(c);
316 BN_free(d);
317 BN_free(e);
318 BN_RECP_CTX_free(recp);
319 return st;
320}
321
322static struct {
323 int n, divisor, result, remainder;
324} signed_mod_tests[] = {
325 { 10, 3, 3, 1 },
326 { -10, 3, -3, -1 },
327 { 10, -3, -3, 1 },
328 { -10, -3, 3, -1 },
329};
330
331static BIGNUM *set_signed_bn(int value)
332{
333 BIGNUM *bn = BN_new();
334
335 if (bn == NULL)
336 return NULL;
337 if (!BN_set_word(bn, value < 0 ? -value : value)) {
338 BN_free(bn);
339 return NULL;
340 }
341 BN_set_negative(bn, value < 0);
342 return bn;
343}
344
345static int test_signed_mod_replace_ab(int n)
346{
347 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
348 int st = 0;
349
350 if (!TEST_ptr(a = set_signed_bn(signed_mod_tests[n].n))
351 || !TEST_ptr(b = set_signed_bn(signed_mod_tests[n].divisor))
352 || !TEST_ptr(c = set_signed_bn(signed_mod_tests[n].result))
353 || !TEST_ptr(d = set_signed_bn(signed_mod_tests[n].remainder)))
354 goto err;
355
356 if (TEST_true(BN_div(a, b, a, b, ctx))
357 && TEST_BN_eq(a, c)
358 && TEST_BN_eq(b, d))
359 st = 1;
360 err:
361 BN_free(a);
362 BN_free(b);
363 BN_free(c);
364 BN_free(d);
365 return st;
366}
367
368static int test_signed_mod_replace_ba(int n)
369{
370 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
371 int st = 0;
372
373 if (!TEST_ptr(a = set_signed_bn(signed_mod_tests[n].n))
374 || !TEST_ptr(b = set_signed_bn(signed_mod_tests[n].divisor))
375 || !TEST_ptr(c = set_signed_bn(signed_mod_tests[n].result))
376 || !TEST_ptr(d = set_signed_bn(signed_mod_tests[n].remainder)))
377 goto err;
378
379 if (TEST_true(BN_div(b, a, a, b, ctx))
380 && TEST_BN_eq(b, c)
381 && TEST_BN_eq(a, d))
382 st = 1;
383 err:
384 BN_free(a);
385 BN_free(b);
386 BN_free(c);
387 BN_free(d);
388 return st;
389}
390
391static int test_mod(void)
392{
393 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;
394 int st = 0, i;
395
396 if (!TEST_ptr(a = BN_new())
397 || !TEST_ptr(b = BN_new())
398 || !TEST_ptr(c = BN_new())
399 || !TEST_ptr(d = BN_new())
400 || !TEST_ptr(e = BN_new()))
401 goto err;
402
403 if (!(TEST_true(BN_bntest_rand(a, 1024, 0, 0))))
404 goto err;
405 for (i = 0; i < NUM0; i++) {
406 if (!(TEST_true(BN_bntest_rand(b, 450 + i * 10, 0, 0))))
407 goto err;
408 BN_set_negative(a, rand_neg());
409 BN_set_negative(b, rand_neg());
410 if (!(TEST_true(BN_mod(c, a, b, ctx))
411 && TEST_true(BN_div(d, e, a, b, ctx))
412 && TEST_BN_eq(e, c)
413 && TEST_true(BN_mul(c, d, b, ctx))
414 && TEST_true(BN_add(d, c, e))
415 && TEST_BN_eq(d, a)))
416 goto err;
417 }
418 st = 1;
419 err:
420 BN_free(a);
421 BN_free(b);
422 BN_free(c);
423 BN_free(d);
424 BN_free(e);
425 return st;
426}
427
428static const char *bn1strings[] = {
429 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
430 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
431 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
432 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
433 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
434 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
435 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
436 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000FFFFFFFF00",
437 "0000000000000000000000000000000000000000000000000000000000000000",
438 "0000000000000000000000000000000000000000000000000000000000000000",
439 "0000000000000000000000000000000000000000000000000000000000000000",
440 "0000000000000000000000000000000000000000000000000000000000000000",
441 "0000000000000000000000000000000000000000000000000000000000000000",
442 "0000000000000000000000000000000000000000000000000000000000000000",
443 "0000000000000000000000000000000000000000000000000000000000000000",
444 "00000000000000000000000000000000000000000000000000FFFFFFFFFFFFFF",
445 NULL
446};
447
448static const char *bn2strings[] = {
449 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
450 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
451 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
452 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
453 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
454 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
455 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
456 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000FFFFFFFF0000000000",
457 "0000000000000000000000000000000000000000000000000000000000000000",
458 "0000000000000000000000000000000000000000000000000000000000000000",
459 "0000000000000000000000000000000000000000000000000000000000000000",
460 "0000000000000000000000000000000000000000000000000000000000000000",
461 "0000000000000000000000000000000000000000000000000000000000000000",
462 "0000000000000000000000000000000000000000000000000000000000000000",
463 "0000000000000000000000000000000000000000000000000000000000000000",
464 "000000000000000000000000000000000000000000FFFFFFFFFFFFFF00000000",
465 NULL
466};
467
468/*
469 * Test constant-time modular exponentiation with 1024-bit inputs, which on
470 * x86_64 cause a different code branch to be taken.
471 */
472static int test_modexp_mont5(void)
473{
474 BIGNUM *a = NULL, *p = NULL, *m = NULL, *d = NULL, *e = NULL;
475 BIGNUM *b = NULL, *n = NULL, *c = NULL;
476 BN_MONT_CTX *mont = NULL;
477 int st = 0;
478
479 if (!TEST_ptr(a = BN_new())
480 || !TEST_ptr(p = BN_new())
481 || !TEST_ptr(m = BN_new())
482 || !TEST_ptr(d = BN_new())
483 || !TEST_ptr(e = BN_new())
484 || !TEST_ptr(b = BN_new())
485 || !TEST_ptr(n = BN_new())
486 || !TEST_ptr(c = BN_new())
487 || !TEST_ptr(mont = BN_MONT_CTX_new()))
488 goto err;
489
490 /* must be odd for montgomery */
491 if (!(TEST_true(BN_bntest_rand(m, 1024, 0, 1))
492 /* Zero exponent */
493 && TEST_true(BN_bntest_rand(a, 1024, 0, 0))))
494 goto err;
495 BN_zero(p);
496
497 if (!TEST_true(BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL)))
498 goto err;
499 if (!TEST_BN_eq_one(d))
500 goto err;
501
502 /* Regression test for carry bug in mulx4x_mont */
503 if (!(TEST_true(BN_hex2bn(&a,
504 "7878787878787878787878787878787878787878787878787878787878787878"
505 "7878787878787878787878787878787878787878787878787878787878787878"
506 "7878787878787878787878787878787878787878787878787878787878787878"
507 "7878787878787878787878787878787878787878787878787878787878787878"))
508 && TEST_true(BN_hex2bn(&b,
509 "095D72C08C097BA488C5E439C655A192EAFB6380073D8C2664668EDDB4060744"
510 "E16E57FB4EDB9AE10A0CEFCDC28A894F689A128379DB279D48A2E20849D68593"
511 "9B7803BCF46CEBF5C533FB0DD35B080593DE5472E3FE5DB951B8BFF9B4CB8F03"
512 "9CC638A5EE8CDD703719F8000E6A9F63BEED5F2FCD52FF293EA05A251BB4AB81"))
513 && TEST_true(BN_hex2bn(&n,
514 "D78AF684E71DB0C39CFF4E64FB9DB567132CB9C50CC98009FEB820B26F2DED9B"
515 "91B9B5E2B83AE0AE4EB4E0523CA726BFBE969B89FD754F674CE99118C3F2D1C5"
516 "D81FDC7C54E02B60262B241D53C040E99E45826ECA37A804668E690E1AFC1CA4"
517 "2C9A15D84D4954425F0B7642FC0BD9D7B24E2618D2DCC9B729D944BADACFDDAF"))))
518 goto err;
519
520 if (!(TEST_true(BN_MONT_CTX_set(mont, n, ctx))
521 && TEST_true(BN_mod_mul_montgomery(c, a, b, mont, ctx))
522 && TEST_true(BN_mod_mul_montgomery(d, b, a, mont, ctx))
523 && TEST_BN_eq(c, d)))
524 goto err;
525
526 /* Regression test for carry bug in sqr[x]8x_mont */
527 if (!(TEST_true(parse_bigBN(&n, bn1strings))
528 && TEST_true(parse_bigBN(&a, bn2strings))))
529 goto err;
530 BN_free(b);
531 if (!(TEST_ptr(b = BN_dup(a))
532 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))
533 && TEST_true(BN_mod_mul_montgomery(c, a, a, mont, ctx))
534 && TEST_true(BN_mod_mul_montgomery(d, a, b, mont, ctx))
535 && TEST_BN_eq(c, d)))
536 goto err;
537
538 /* Regression test for carry bug in bn_sqrx8x_internal */
539 {
540 static const char *ahex[] = {
541 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
542 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
543 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
544 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
545 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF8FFEADBCFC4DAE7FFF908E92820306B",
546 "9544D954000000006C0000000000000000000000000000000000000000000000",
547 "00000000000000000000FF030202FFFFF8FFEBDBCFC4DAE7FFF908E92820306B",
548 "9544D954000000006C000000FF0302030000000000FFFFFFFFFFFFFFFFFFFFFF",
549 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF01FC00FF02FFFFFFFF",
550 "00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00FCFD",
551 "FCFFFFFFFFFF000000000000000000FF0302030000000000FFFFFFFFFFFFFFFF",
552 "FF00FCFDFDFF030202FF00000000FFFFFFFFFFFFFFFFFF00FCFDFCFFFFFFFFFF",
553 NULL
554 };
555 static const char *nhex[] = {
556 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
557 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
558 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
559 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
560 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF8F8F8F8000000",
561 "00000010000000006C0000000000000000000000000000000000000000000000",
562 "00000000000000000000000000000000000000FFFFFFFFFFFFF8F8F8F8000000",
563 "00000010000000006C000000000000000000000000FFFFFFFFFFFFFFFFFFFFFF",
564 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
565 "00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
566 "FFFFFFFFFFFF000000000000000000000000000000000000FFFFFFFFFFFFFFFF",
567 "FFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
568 NULL
569 };
570
571 if (!(TEST_true(parse_bigBN(&a, ahex))
572 && TEST_true(parse_bigBN(&n, nhex))))
573 goto err;
574 }
575 BN_free(b);
576 if (!(TEST_ptr(b = BN_dup(a))
577 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))))
578 goto err;
579
580 if (!TEST_true(BN_mod_mul_montgomery(c, a, a, mont, ctx))
581 || !TEST_true(BN_mod_mul_montgomery(d, a, b, mont, ctx))
582 || !TEST_BN_eq(c, d))
583 goto err;
584
585 /* Regression test for bug in BN_from_montgomery_word */
586 if (!(TEST_true(BN_hex2bn(&a,
587 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
588 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
589 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
590 && TEST_true(BN_hex2bn(&n,
591 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
592 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
593 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))
594 && TEST_false(BN_mod_mul_montgomery(d, a, a, mont, ctx))))
595 goto err;
596
597 /* Regression test for bug in rsaz_1024_mul_avx2 */
598 if (!(TEST_true(BN_hex2bn(&a,
599 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
600 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
601 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
602 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"))
603 && TEST_true(BN_hex2bn(&b,
604 "2020202020202020202020202020202020202020202020202020202020202020"
605 "2020202020202020202020202020202020202020202020202020202020202020"
606 "20202020202020FF202020202020202020202020202020202020202020202020"
607 "2020202020202020202020202020202020202020202020202020202020202020"))
608 && TEST_true(BN_hex2bn(&n,
609 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
610 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
611 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
612 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020FF"))
613 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))
614 && TEST_true(BN_mod_exp_mont_consttime(c, a, b, n, ctx, mont))
615 && TEST_true(BN_mod_exp_mont(d, a, b, n, ctx, mont))
616 && TEST_BN_eq(c, d)))
617 goto err;
618
619 /*
620 * rsaz_1024_mul_avx2 expects fully-reduced inputs.
621 * BN_mod_exp_mont_consttime should reduce the input first.
622 */
623 if (!(TEST_true(BN_hex2bn(&a,
624 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
625 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
626 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
627 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"))
628 && TEST_true(BN_hex2bn(&b,
629 "1FA53F26F8811C58BE0357897AA5E165693230BC9DF5F01DFA6A2D59229EC69D"
630 "9DE6A89C36E3B6957B22D6FAAD5A3C73AE587B710DBE92E83D3A9A3339A085CB"
631 "B58F508CA4F837924BB52CC1698B7FDC2FD74362456A595A5B58E38E38E38E38"
632 "E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E"))
633 && TEST_true(BN_hex2bn(&n,
634 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
635 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
636 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
637 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"))
638 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))
639 && TEST_true(BN_mod_exp_mont_consttime(c, a, b, n, ctx, mont))))
640 goto err;
641 BN_zero(d);
642 if (!TEST_BN_eq(c, d))
643 goto err;
644
645 /*
646 * Regression test for overflow bug in bn_sqr_comba4/8 for
647 * mips-linux-gnu and mipsel-linux-gnu 32bit targets.
648 */
649 {
650 static const char *ehex[] = {
651 "95564994a96c45954227b845a1e99cb939d5a1da99ee91acc962396ae999a9ee",
652 "38603790448f2f7694c242a875f0cad0aae658eba085f312d2febbbd128dd2b5",
653 "8f7d1149f03724215d704344d0d62c587ae3c5939cba4b9b5f3dc5e8e911ef9a",
654 "5ce1a5a749a4989d0d8368f6e1f8cdf3a362a6c97fb02047ff152b480a4ad985",
655 "2d45efdf0770542992afca6a0590d52930434bba96017afbc9f99e112950a8b1",
656 "a359473ec376f329bdae6a19f503be6d4be7393c4e43468831234e27e3838680",
657 "b949390d2e416a3f9759e5349ab4c253f6f29f819a6fe4cbfd27ada34903300e",
658 "da021f62839f5878a36f1bc3085375b00fd5fa3e68d316c0fdace87a97558465",
659 NULL};
660 static const char *phex[] = {
661 "f95dc0f980fbd22e90caa5a387cc4a369f3f830d50dd321c40db8c09a7e1a241",
662 "a536e096622d3280c0c1ba849c1f4a79bf490f60006d081e8cf69960189f0d31",
663 "2cd9e17073a3fba7881b21474a13b334116cb2f5dbf3189a6de3515d0840f053",
664 "c776d3982d391b6d04d642dda5cc6d1640174c09875addb70595658f89efb439",
665 "dc6fbd55f903aadd307982d3f659207f265e1ec6271b274521b7a5e28e8fd7a5",
666 "5df089292820477802a43cf5b6b94e999e8c9944ddebb0d0e95a60f88cb7e813",
667 "ba110d20e1024774107dd02949031864923b3cb8c3f7250d6d1287b0a40db6a4",
668 "7bd5a469518eb65aa207ddc47d8c6e5fc8e0c105be8fc1d4b57b2e27540471d5",
669 NULL};
670 static const char *mhex[] = {
671 "fef15d5ce4625f1bccfbba49fc8439c72bf8202af039a2259678941b60bb4a8f",
672 "2987e965d58fd8cf86a856674d519763d0e1211cc9f8596971050d56d9b35db3",
673 "785866cfbca17cfdbed6060be3629d894f924a89fdc1efc624f80d41a22f1900",
674 "9503fcc3824ef62ccb9208430c26f2d8ceb2c63488ec4c07437aa4c96c43dd8b",
675 "9289ed00a712ff66ee195dc71f5e4ead02172b63c543d69baf495f5fd63ba7bc",
676 "c633bd309c016e37736da92129d0b053d4ab28d21ad7d8b6fab2a8bbdc8ee647",
677 "d2fbcf2cf426cf892e6f5639e0252993965dfb73ccd277407014ea784aaa280c",
678 "b7b03972bc8b0baa72360bdb44b82415b86b2f260f877791cd33ba8f2d65229b",
679 NULL};
680
681 if (!TEST_true(parse_bigBN(&e, ehex))
682 || !TEST_true(parse_bigBN(&p, phex))
683 || !TEST_true(parse_bigBN(&m, mhex))
684 || !TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
685 || !TEST_true(BN_mod_exp_simple(a, e, p, m, ctx))
686 || !TEST_BN_eq(a, d))
687 goto err;
688 }
689
690 /* Zero input */
691 if (!TEST_true(BN_bntest_rand(p, 1024, 0, 0)))
692 goto err;
693 BN_zero(a);
694 if (!TEST_true(BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL))
695 || !TEST_BN_eq_zero(d))
696 goto err;
697
698 /*
699 * Craft an input whose Montgomery representation is 1, i.e., shorter
700 * than the modulus m, in order to test the const time precomputation
701 * scattering/gathering.
702 */
703 if (!(TEST_true(BN_one(a))
704 && TEST_true(BN_MONT_CTX_set(mont, m, ctx))))
705 goto err;
706 if (!TEST_true(BN_from_montgomery(e, a, mont, ctx))
707 || !TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
708 || !TEST_true(BN_mod_exp_simple(a, e, p, m, ctx))
709 || !TEST_BN_eq(a, d))
710 goto err;
711
712 /* Finally, some regular test vectors. */
713 if (!(TEST_true(BN_bntest_rand(e, 1024, 0, 0))
714 && TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
715 && TEST_true(BN_mod_exp_simple(a, e, p, m, ctx))
716 && TEST_BN_eq(a, d)))
717 goto err;
718
719 st = 1;
720
721 err:
722 BN_MONT_CTX_free(mont);
723 BN_free(a);
724 BN_free(p);
725 BN_free(m);
726 BN_free(d);
727 BN_free(e);
728 BN_free(b);
729 BN_free(n);
730 BN_free(c);
731 return st;
732}
733
734#ifndef OPENSSL_NO_EC2M
735static int test_gf2m_add(void)
736{
737 BIGNUM *a = NULL, *b = NULL, *c = NULL;
738 int i, st = 0;
739
740 if (!TEST_ptr(a = BN_new())
741 || !TEST_ptr(b = BN_new())
742 || !TEST_ptr(c = BN_new()))
743 goto err;
744
745 for (i = 0; i < NUM0; i++) {
746 if (!(TEST_true(BN_rand(a, 512, 0, 0))
747 && TEST_ptr(BN_copy(b, BN_value_one()))))
748 goto err;
749 BN_set_negative(a, rand_neg());
750 BN_set_negative(b, rand_neg());
751 if (!(TEST_true(BN_GF2m_add(c, a, b))
752 /* Test that two added values have the correct parity. */
753 && TEST_false((BN_is_odd(a) && BN_is_odd(c))
754 || (!BN_is_odd(a) && !BN_is_odd(c)))))
755 goto err;
756 if (!(TEST_true(BN_GF2m_add(c, c, c))
757 /* Test that c + c = 0. */
758 && TEST_BN_eq_zero(c)))
759 goto err;
760 }
761 st = 1;
762 err:
763 BN_free(a);
764 BN_free(b);
765 BN_free(c);
766 return st;
767}
768
769static int test_gf2m_mod(void)
770{
771 BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL, *e = NULL;
772 int i, j, st = 0;
773
774 if (!TEST_ptr(a = BN_new())
775 || !TEST_ptr(b[0] = BN_new())
776 || !TEST_ptr(b[1] = BN_new())
777 || !TEST_ptr(c = BN_new())
778 || !TEST_ptr(d = BN_new())
779 || !TEST_ptr(e = BN_new()))
780 goto err;
781
782 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
783 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
784 goto err;
785
786 for (i = 0; i < NUM0; i++) {
787 if (!TEST_true(BN_bntest_rand(a, 1024, 0, 0)))
788 goto err;
789 for (j = 0; j < 2; j++) {
790 if (!(TEST_true(BN_GF2m_mod(c, a, b[j]))
791 && TEST_true(BN_GF2m_add(d, a, c))
792 && TEST_true(BN_GF2m_mod(e, d, b[j]))
793 /* Test that a + (a mod p) mod p == 0. */
794 && TEST_BN_eq_zero(e)))
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 BN_free(e);
806 return st;
807}
808
809static int test_gf2m_mul(void)
810{
811 BIGNUM *a, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
812 BIGNUM *e = NULL, *f = NULL, *g = NULL, *h = NULL;
813 int i, j, st = 0;
814
815 if (!TEST_ptr(a = BN_new())
816 || !TEST_ptr(b[0] = BN_new())
817 || !TEST_ptr(b[1] = BN_new())
818 || !TEST_ptr(c = BN_new())
819 || !TEST_ptr(d = BN_new())
820 || !TEST_ptr(e = BN_new())
821 || !TEST_ptr(f = BN_new())
822 || !TEST_ptr(g = BN_new())
823 || !TEST_ptr(h = BN_new()))
824 goto err;
825
826 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
827 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
828 goto err;
829
830 for (i = 0; i < NUM0; i++) {
831 if (!(TEST_true(BN_bntest_rand(a, 1024, 0, 0))
832 && TEST_true(BN_bntest_rand(c, 1024, 0, 0))
833 && TEST_true(BN_bntest_rand(d, 1024, 0, 0))))
834 goto err;
835 for (j = 0; j < 2; j++) {
836 if (!(TEST_true(BN_GF2m_mod_mul(e, a, c, b[j], ctx))
837 && TEST_true(BN_GF2m_add(f, a, d))
838 && TEST_true(BN_GF2m_mod_mul(g, f, c, b[j], ctx))
839 && TEST_true(BN_GF2m_mod_mul(h, d, c, b[j], ctx))
840 && TEST_true(BN_GF2m_add(f, e, g))
841 && TEST_true(BN_GF2m_add(f, f, h))
842 /* Test that (a+d)*c = a*c + d*c. */
843 && TEST_BN_eq_zero(f)))
844 goto err;
845 }
846 }
847 st = 1;
848
849 err:
850 BN_free(a);
851 BN_free(b[0]);
852 BN_free(b[1]);
853 BN_free(c);
854 BN_free(d);
855 BN_free(e);
856 BN_free(f);
857 BN_free(g);
858 BN_free(h);
859 return st;
860}
861
862static int test_gf2m_sqr(void)
863{
864 BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
865 int i, j, st = 0;
866
867 if (!TEST_ptr(a = BN_new())
868 || !TEST_ptr(b[0] = BN_new())
869 || !TEST_ptr(b[1] = BN_new())
870 || !TEST_ptr(c = BN_new())
871 || !TEST_ptr(d = BN_new()))
872 goto err;
873
874 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
875 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
876 goto err;
877
878 for (i = 0; i < NUM0; i++) {
879 if (!TEST_true(BN_bntest_rand(a, 1024, 0, 0)))
880 goto err;
881 for (j = 0; j < 2; j++) {
882 if (!(TEST_true(BN_GF2m_mod_sqr(c, a, b[j], ctx))
883 && TEST_true(BN_copy(d, a))
884 && TEST_true(BN_GF2m_mod_mul(d, a, d, b[j], ctx))
885 && TEST_true(BN_GF2m_add(d, c, d))
886 /* Test that a*a = a^2. */
887 && TEST_BN_eq_zero(d)))
888 goto err;
889 }
890 }
891 st = 1;
892 err:
893 BN_free(a);
894 BN_free(b[0]);
895 BN_free(b[1]);
896 BN_free(c);
897 BN_free(d);
898 return st;
899}
900
901static int test_gf2m_modinv(void)
902{
903 BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = 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 goto err;
912
913 /* Test that a non-sensical, too small value causes a failure */
914 if (!TEST_true(BN_one(b[0])))
915 goto err;
916 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
917 goto err;
918 if (!TEST_false(BN_GF2m_mod_inv(c, a, b[0], ctx)))
919 goto err;
920
921 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
922 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
923 goto err;
924
925 for (i = 0; i < NUM0; i++) {
926 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
927 goto err;
928 for (j = 0; j < 2; j++) {
929 if (!(TEST_true(BN_GF2m_mod_inv(c, a, b[j], ctx))
930 && TEST_true(BN_GF2m_mod_mul(d, a, c, b[j], ctx))
931 /* Test that ((1/a)*a) = 1. */
932 && TEST_BN_eq_one(d)))
933 goto err;
934 }
935 }
936 st = 1;
937 err:
938 BN_free(a);
939 BN_free(b[0]);
940 BN_free(b[1]);
941 BN_free(c);
942 BN_free(d);
943 return st;
944}
945
946static int test_gf2m_moddiv(void)
947{
948 BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
949 BIGNUM *e = NULL, *f = NULL;
950 int i, j, st = 0;
951
952 if (!TEST_ptr(a = BN_new())
953 || !TEST_ptr(b[0] = BN_new())
954 || !TEST_ptr(b[1] = BN_new())
955 || !TEST_ptr(c = BN_new())
956 || !TEST_ptr(d = BN_new())
957 || !TEST_ptr(e = BN_new())
958 || !TEST_ptr(f = BN_new()))
959 goto err;
960
961 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
962 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
963 goto err;
964
965 for (i = 0; i < NUM0; i++) {
966 if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0))
967 && TEST_true(BN_bntest_rand(c, 512, 0, 0))))
968 goto err;
969 for (j = 0; j < 2; j++) {
970 if (!(TEST_true(BN_GF2m_mod_div(d, a, c, b[j], ctx))
971 && TEST_true(BN_GF2m_mod_mul(e, d, c, b[j], ctx))
972 && TEST_true(BN_GF2m_mod_div(f, a, e, b[j], ctx))
973 /* Test that ((a/c)*c)/a = 1. */
974 && TEST_BN_eq_one(f)))
975 goto err;
976 }
977 }
978 st = 1;
979 err:
980 BN_free(a);
981 BN_free(b[0]);
982 BN_free(b[1]);
983 BN_free(c);
984 BN_free(d);
985 BN_free(e);
986 BN_free(f);
987 return st;
988}
989
990static int test_gf2m_modexp(void)
991{
992 BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
993 BIGNUM *e = NULL, *f = NULL;
994 int i, j, st = 0;
995
996 if (!TEST_ptr(a = BN_new())
997 || !TEST_ptr(b[0] = BN_new())
998 || !TEST_ptr(b[1] = BN_new())
999 || !TEST_ptr(c = BN_new())
1000 || !TEST_ptr(d = BN_new())
1001 || !TEST_ptr(e = BN_new())
1002 || !TEST_ptr(f = BN_new()))
1003 goto err;
1004
1005 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
1006 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
1007 goto err;
1008
1009 for (i = 0; i < NUM0; i++) {
1010 if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0))
1011 && TEST_true(BN_bntest_rand(c, 512, 0, 0))
1012 && TEST_true(BN_bntest_rand(d, 512, 0, 0))))
1013 goto err;
1014 for (j = 0; j < 2; j++) {
1015 if (!(TEST_true(BN_GF2m_mod_exp(e, a, c, b[j], ctx))
1016 && TEST_true(BN_GF2m_mod_exp(f, a, d, b[j], ctx))
1017 && TEST_true(BN_GF2m_mod_mul(e, e, f, b[j], ctx))
1018 && TEST_true(BN_add(f, c, d))
1019 && TEST_true(BN_GF2m_mod_exp(f, a, f, b[j], ctx))
1020 && TEST_true(BN_GF2m_add(f, e, f))
1021 /* Test that a^(c+d)=a^c*a^d. */
1022 && TEST_BN_eq_zero(f)))
1023 goto err;
1024 }
1025 }
1026 st = 1;
1027 err:
1028 BN_free(a);
1029 BN_free(b[0]);
1030 BN_free(b[1]);
1031 BN_free(c);
1032 BN_free(d);
1033 BN_free(e);
1034 BN_free(f);
1035 return st;
1036}
1037
1038static int test_gf2m_modsqrt(void)
1039{
1040 BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
1041 BIGNUM *e = NULL, *f = NULL;
1042 int i, j, st = 0;
1043
1044 if (!TEST_ptr(a = BN_new())
1045 || !TEST_ptr(b[0] = BN_new())
1046 || !TEST_ptr(b[1] = BN_new())
1047 || !TEST_ptr(c = BN_new())
1048 || !TEST_ptr(d = BN_new())
1049 || !TEST_ptr(e = BN_new())
1050 || !TEST_ptr(f = BN_new()))
1051 goto err;
1052
1053 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
1054 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
1055 goto err;
1056
1057 for (i = 0; i < NUM0; i++) {
1058 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
1059 goto err;
1060
1061 for (j = 0; j < 2; j++) {
1062 if (!(TEST_true(BN_GF2m_mod(c, a, b[j]))
1063 && TEST_true(BN_GF2m_mod_sqrt(d, a, b[j], ctx))
1064 && TEST_true(BN_GF2m_mod_sqr(e, d, b[j], ctx))
1065 && TEST_true(BN_GF2m_add(f, c, e))
1066 /* Test that d^2 = a, where d = sqrt(a). */
1067 && TEST_BN_eq_zero(f)))
1068 goto err;
1069 }
1070 }
1071 st = 1;
1072 err:
1073 BN_free(a);
1074 BN_free(b[0]);
1075 BN_free(b[1]);
1076 BN_free(c);
1077 BN_free(d);
1078 BN_free(e);
1079 BN_free(f);
1080 return st;
1081}
1082
1083static int test_gf2m_modsolvequad(void)
1084{
1085 BIGNUM *a = NULL, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
1086 BIGNUM *e = NULL;
1087 int i, j, s = 0, t, st = 0;
1088
1089 if (!TEST_ptr(a = BN_new())
1090 || !TEST_ptr(b[0] = BN_new())
1091 || !TEST_ptr(b[1] = BN_new())
1092 || !TEST_ptr(c = BN_new())
1093 || !TEST_ptr(d = BN_new())
1094 || !TEST_ptr(e = BN_new()))
1095 goto err;
1096
1097 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
1098 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
1099 goto err;
1100
1101 for (i = 0; i < NUM0; i++) {
1102 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
1103 goto err;
1104 for (j = 0; j < 2; j++) {
1105 t = BN_GF2m_mod_solve_quad(c, a, b[j], ctx);
1106 if (t) {
1107 s++;
1108 if (!(TEST_true(BN_GF2m_mod_sqr(d, c, b[j], ctx))
1109 && TEST_true(BN_GF2m_add(d, c, d))
1110 && TEST_true(BN_GF2m_mod(e, a, b[j]))
1111 && TEST_true(BN_GF2m_add(e, e, d))
1112 /*
1113 * Test that solution of quadratic c
1114 * satisfies c^2 + c = a.
1115 */
1116 && TEST_BN_eq_zero(e)))
1117 goto err;
1118 }
1119 }
1120 }
1121 if (!TEST_int_ge(s, 0)) {
1122 TEST_info("%d tests found no roots; probably an error", NUM0);
1123 goto err;
1124 }
1125 st = 1;
1126 err:
1127 BN_free(a);
1128 BN_free(b[0]);
1129 BN_free(b[1]);
1130 BN_free(c);
1131 BN_free(d);
1132 BN_free(e);
1133 return st;
1134}
1135#endif
1136
1137static int test_kronecker(void)
1138{
1139 BIGNUM *a = NULL, *b = NULL, *r = NULL, *t = NULL;
1140 int i, legendre, kronecker, st = 0;
1141
1142 if (!TEST_ptr(a = BN_new())
1143 || !TEST_ptr(b = BN_new())
1144 || !TEST_ptr(r = BN_new())
1145 || !TEST_ptr(t = BN_new()))
1146 goto err;
1147
1148 /*
1149 * We test BN_kronecker(a, b, ctx) just for b odd (Jacobi symbol). In
1150 * this case we know that if b is prime, then BN_kronecker(a, b, ctx) is
1151 * congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol). So we
1152 * generate a random prime b and compare these values for a number of
1153 * random a's. (That is, we run the Solovay-Strassen primality test to
1154 * confirm that b is prime, except that we don't want to test whether b
1155 * is prime but whether BN_kronecker works.)
1156 */
1157
1158 if (!TEST_true(BN_generate_prime_ex(b, 512, 0, NULL, NULL, NULL)))
1159 goto err;
1160 BN_set_negative(b, rand_neg());
1161
1162 for (i = 0; i < NUM0; i++) {
1163 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
1164 goto err;
1165 BN_set_negative(a, rand_neg());
1166
1167 /* t := (|b|-1)/2 (note that b is odd) */
1168 if (!TEST_true(BN_copy(t, b)))
1169 goto err;
1170 BN_set_negative(t, 0);
1171 if (!TEST_true(BN_sub_word(t, 1)))
1172 goto err;
1173 if (!TEST_true(BN_rshift1(t, t)))
1174 goto err;
1175 /* r := a^t mod b */
1176 BN_set_negative(b, 0);
1177
1178 if (!TEST_true(BN_mod_exp_recp(r, a, t, b, ctx)))
1179 goto err;
1180 BN_set_negative(b, 1);
1181
1182 if (BN_is_word(r, 1))
1183 legendre = 1;
1184 else if (BN_is_zero(r))
1185 legendre = 0;
1186 else {
1187 if (!TEST_true(BN_add_word(r, 1)))
1188 goto err;
1189 if (!TEST_int_eq(BN_ucmp(r, b), 0)) {
1190 TEST_info("Legendre symbol computation failed");
1191 goto err;
1192 }
1193 legendre = -1;
1194 }
1195
1196 if (!TEST_int_ge(kronecker = BN_kronecker(a, b, ctx), -1))
1197 goto err;
1198 /* we actually need BN_kronecker(a, |b|) */
1199 if (BN_is_negative(a) && BN_is_negative(b))
1200 kronecker = -kronecker;
1201
1202 if (!TEST_int_eq(legendre, kronecker))
1203 goto err;
1204 }
1205
1206 st = 1;
1207 err:
1208 BN_free(a);
1209 BN_free(b);
1210 BN_free(r);
1211 BN_free(t);
1212 return st;
1213}
1214
1215static int file_sum(STANZA *s)
1216{
1217 BIGNUM *a = NULL, *b = NULL, *sum = NULL, *ret = NULL;
1218 BN_ULONG b_word;
1219 int st = 0;
1220
1221 if (!TEST_ptr(a = getBN(s, "A"))
1222 || !TEST_ptr(b = getBN(s, "B"))
1223 || !TEST_ptr(sum = getBN(s, "Sum"))
1224 || !TEST_ptr(ret = BN_new()))
1225 goto err;
1226
1227 if (!TEST_true(BN_add(ret, a, b))
1228 || !equalBN("A + B", sum, ret)
1229 || !TEST_true(BN_sub(ret, sum, a))
1230 || !equalBN("Sum - A", b, ret)
1231 || !TEST_true(BN_sub(ret, sum, b))
1232 || !equalBN("Sum - B", a, ret))
1233 goto err;
1234
1235 /*
1236 * Test that the functions work when |r| and |a| point to the same BIGNUM,
1237 * or when |r| and |b| point to the same BIGNUM.
1238 * There is no test for all of |r|, |a|, and |b| pointint to the same BIGNUM.
1239 */
1240 if (!TEST_true(BN_copy(ret, a))
1241 || !TEST_true(BN_add(ret, ret, b))
1242 || !equalBN("A + B (r is a)", sum, ret)
1243 || !TEST_true(BN_copy(ret, b))
1244 || !TEST_true(BN_add(ret, a, ret))
1245 || !equalBN("A + B (r is b)", sum, ret)
1246 || !TEST_true(BN_copy(ret, sum))
1247 || !TEST_true(BN_sub(ret, ret, a))
1248 || !equalBN("Sum - A (r is a)", b, ret)
1249 || !TEST_true(BN_copy(ret, a))
1250 || !TEST_true(BN_sub(ret, sum, ret))
1251 || !equalBN("Sum - A (r is b)", b, ret)
1252 || !TEST_true(BN_copy(ret, sum))
1253 || !TEST_true(BN_sub(ret, ret, b))
1254 || !equalBN("Sum - B (r is a)", a, ret)
1255 || !TEST_true(BN_copy(ret, b))
1256 || !TEST_true(BN_sub(ret, sum, ret))
1257 || !equalBN("Sum - B (r is b)", a, ret))
1258 goto err;
1259
1260 /*
1261 * Test BN_uadd() and BN_usub() with the prerequisites they are
1262 * documented as having. Note that these functions are frequently used
1263 * when the prerequisites don't hold. In those cases, they are supposed
1264 * to work as if the prerequisite hold, but we don't test that yet.
1265 */
1266 if (!BN_is_negative(a) && !BN_is_negative(b) && BN_cmp(a, b) >= 0) {
1267 if (!TEST_true(BN_uadd(ret, a, b))
1268 || !equalBN("A +u B", sum, ret)
1269 || !TEST_true(BN_usub(ret, sum, a))
1270 || !equalBN("Sum -u A", b, ret)
1271 || !TEST_true(BN_usub(ret, sum, b))
1272 || !equalBN("Sum -u B", a, ret))
1273 goto err;
1274 /*
1275 * Test that the functions work when |r| and |a| point to the same
1276 * BIGNUM, or when |r| and |b| point to the same BIGNUM.
1277 * There is no test for all of |r|, |a|, and |b| pointint to the same
1278 * BIGNUM.
1279 */
1280 if (!TEST_true(BN_copy(ret, a))
1281 || !TEST_true(BN_uadd(ret, ret, b))
1282 || !equalBN("A +u B (r is a)", sum, ret)
1283 || !TEST_true(BN_copy(ret, b))
1284 || !TEST_true(BN_uadd(ret, a, ret))
1285 || !equalBN("A +u B (r is b)", sum, ret)
1286 || !TEST_true(BN_copy(ret, sum))
1287 || !TEST_true(BN_usub(ret, ret, a))
1288 || !equalBN("Sum -u A (r is a)", b, ret)
1289 || !TEST_true(BN_copy(ret, a))
1290 || !TEST_true(BN_usub(ret, sum, ret))
1291 || !equalBN("Sum -u A (r is b)", b, ret)
1292 || !TEST_true(BN_copy(ret, sum))
1293 || !TEST_true(BN_usub(ret, ret, b))
1294 || !equalBN("Sum -u B (r is a)", a, ret)
1295 || !TEST_true(BN_copy(ret, b))
1296 || !TEST_true(BN_usub(ret, sum, ret))
1297 || !equalBN("Sum -u B (r is b)", a, ret))
1298 goto err;
1299 }
1300
1301 /*
1302 * Test with BN_add_word() and BN_sub_word() if |b| is small enough.
1303 */
1304 b_word = BN_get_word(b);
1305 if (!BN_is_negative(b) && b_word != (BN_ULONG)-1) {
1306 if (!TEST_true(BN_copy(ret, a))
1307 || !TEST_true(BN_add_word(ret, b_word))
1308 || !equalBN("A + B (word)", sum, ret)
1309 || !TEST_true(BN_copy(ret, sum))
1310 || !TEST_true(BN_sub_word(ret, b_word))
1311 || !equalBN("Sum - B (word)", a, ret))
1312 goto err;
1313 }
1314 st = 1;
1315
1316 err:
1317 BN_free(a);
1318 BN_free(b);
1319 BN_free(sum);
1320 BN_free(ret);
1321 return st;
1322}
1323
1324static int file_lshift1(STANZA *s)
1325{
1326 BIGNUM *a = NULL, *lshift1 = NULL, *zero = NULL, *ret = NULL;
1327 BIGNUM *two = NULL, *remainder = NULL;
1328 int st = 0;
1329
1330 if (!TEST_ptr(a = getBN(s, "A"))
1331 || !TEST_ptr(lshift1 = getBN(s, "LShift1"))
1332 || !TEST_ptr(zero = BN_new())
1333 || !TEST_ptr(ret = BN_new())
1334 || !TEST_ptr(two = BN_new())
1335 || !TEST_ptr(remainder = BN_new()))
1336 goto err;
1337
1338 BN_zero(zero);
1339
1340 if (!TEST_true(BN_set_word(two, 2))
1341 || !TEST_true(BN_add(ret, a, a))
1342 || !equalBN("A + A", lshift1, ret)
1343 || !TEST_true(BN_mul(ret, a, two, ctx))
1344 || !equalBN("A * 2", lshift1, ret)
1345 || !TEST_true(BN_div(ret, remainder, lshift1, two, ctx))
1346 || !equalBN("LShift1 / 2", a, ret)
1347 || !equalBN("LShift1 % 2", zero, remainder)
1348 || !TEST_true(BN_lshift1(ret, a))
1349 || !equalBN("A << 1", lshift1, ret)
1350 || !TEST_true(BN_rshift1(ret, lshift1))
1351 || !equalBN("LShift >> 1", a, ret)
1352 || !TEST_true(BN_rshift1(ret, lshift1))
1353 || !equalBN("LShift >> 1", a, ret))
1354 goto err;
1355
1356 /* Set the LSB to 1 and test rshift1 again. */
1357 if (!TEST_true(BN_set_bit(lshift1, 0))
1358 || !TEST_true(BN_div(ret, NULL /* rem */ , lshift1, two, ctx))
1359 || !equalBN("(LShift1 | 1) / 2", a, ret)
1360 || !TEST_true(BN_rshift1(ret, lshift1))
1361 || !equalBN("(LShift | 1) >> 1", a, ret))
1362 goto err;
1363
1364 st = 1;
1365 err:
1366 BN_free(a);
1367 BN_free(lshift1);
1368 BN_free(zero);
1369 BN_free(ret);
1370 BN_free(two);
1371 BN_free(remainder);
1372
1373 return st;
1374}
1375
1376static int file_lshift(STANZA *s)
1377{
1378 BIGNUM *a = NULL, *lshift = NULL, *ret = NULL;
1379 int n = 0, st = 0;
1380
1381 if (!TEST_ptr(a = getBN(s, "A"))
1382 || !TEST_ptr(lshift = getBN(s, "LShift"))
1383 || !TEST_ptr(ret = BN_new())
1384 || !getint(s, &n, "N"))
1385 goto err;
1386
1387 if (!TEST_true(BN_lshift(ret, a, n))
1388 || !equalBN("A << N", lshift, ret)
1389 || !TEST_true(BN_rshift(ret, lshift, n))
1390 || !equalBN("A >> N", a, ret))
1391 goto err;
1392
1393 st = 1;
1394 err:
1395 BN_free(a);
1396 BN_free(lshift);
1397 BN_free(ret);
1398 return st;
1399}
1400
1401static int file_rshift(STANZA *s)
1402{
1403 BIGNUM *a = NULL, *rshift = NULL, *ret = NULL;
1404 int n = 0, st = 0;
1405
1406 if (!TEST_ptr(a = getBN(s, "A"))
1407 || !TEST_ptr(rshift = getBN(s, "RShift"))
1408 || !TEST_ptr(ret = BN_new())
1409 || !getint(s, &n, "N"))
1410 goto err;
1411
1412 if (!TEST_true(BN_rshift(ret, a, n))
1413 || !equalBN("A >> N", rshift, ret))
1414 goto err;
1415
1416 /* If N == 1, try with rshift1 as well */
1417 if (n == 1) {
1418 if (!TEST_true(BN_rshift1(ret, a))
1419 || !equalBN("A >> 1 (rshift1)", rshift, ret))
1420 goto err;
1421 }
1422 st = 1;
1423
1424 err:
1425 BN_free(a);
1426 BN_free(rshift);
1427 BN_free(ret);
1428 return st;
1429}
1430
1431static int file_square(STANZA *s)
1432{
1433 BIGNUM *a = NULL, *square = NULL, *zero = NULL, *ret = NULL;
1434 BIGNUM *remainder = NULL, *tmp = NULL;
1435 int st = 0;
1436
1437 if (!TEST_ptr(a = getBN(s, "A"))
1438 || !TEST_ptr(square = getBN(s, "Square"))
1439 || !TEST_ptr(zero = BN_new())
1440 || !TEST_ptr(ret = BN_new())
1441 || !TEST_ptr(remainder = BN_new()))
1442 goto err;
1443
1444 BN_zero(zero);
1445 if (!TEST_true(BN_sqr(ret, a, ctx))
1446 || !equalBN("A^2", square, ret)
1447 || !TEST_true(BN_mul(ret, a, a, ctx))
1448 || !equalBN("A * A", square, ret)
1449 || !TEST_true(BN_div(ret, remainder, square, a, ctx))
1450 || !equalBN("Square / A", a, ret)
1451 || !equalBN("Square % A", zero, remainder))
1452 goto err;
1453
1454#if HAVE_BN_SQRT
1455 BN_set_negative(a, 0);
1456 if (!TEST_true(BN_sqrt(ret, square, ctx))
1457 || !equalBN("sqrt(Square)", a, ret))
1458 goto err;
1459
1460 /* BN_sqrt should fail on non-squares and negative numbers. */
1461 if (!TEST_BN_eq_zero(square)) {
1462 if (!TEST_ptr(tmp = BN_new())
1463 || !TEST_true(BN_copy(tmp, square)))
1464 goto err;
1465 BN_set_negative(tmp, 1);
1466
1467 if (!TEST_int_eq(BN_sqrt(ret, tmp, ctx), 0))
1468 goto err;
1469 ERR_clear_error();
1470
1471 BN_set_negative(tmp, 0);
1472 if (BN_add(tmp, tmp, BN_value_one()))
1473 goto err;
1474 if (!TEST_int_eq(BN_sqrt(ret, tmp, ctx)))
1475 goto err;
1476 ERR_clear_error();
1477 }
1478#endif
1479
1480 st = 1;
1481 err:
1482 BN_free(a);
1483 BN_free(square);
1484 BN_free(zero);
1485 BN_free(ret);
1486 BN_free(remainder);
1487 BN_free(tmp);
1488 return st;
1489}
1490
1491static int file_product(STANZA *s)
1492{
1493 BIGNUM *a = NULL, *b = NULL, *product = NULL, *ret = NULL;
1494 BIGNUM *remainder = NULL, *zero = NULL;
1495 int st = 0;
1496
1497 if (!TEST_ptr(a = getBN(s, "A"))
1498 || !TEST_ptr(b = getBN(s, "B"))
1499 || !TEST_ptr(product = getBN(s, "Product"))
1500 || !TEST_ptr(ret = BN_new())
1501 || !TEST_ptr(remainder = BN_new())
1502 || !TEST_ptr(zero = BN_new()))
1503 goto err;
1504
1505 BN_zero(zero);
1506
1507 if (!TEST_true(BN_mul(ret, a, b, ctx))
1508 || !equalBN("A * B", product, ret)
1509 || !TEST_true(BN_div(ret, remainder, product, a, ctx))
1510 || !equalBN("Product / A", b, ret)
1511 || !equalBN("Product % A", zero, remainder)
1512 || !TEST_true(BN_div(ret, remainder, product, b, ctx))
1513 || !equalBN("Product / B", a, ret)
1514 || !equalBN("Product % B", zero, remainder))
1515 goto err;
1516
1517 st = 1;
1518 err:
1519 BN_free(a);
1520 BN_free(b);
1521 BN_free(product);
1522 BN_free(ret);
1523 BN_free(remainder);
1524 BN_free(zero);
1525 return st;
1526}
1527
1528static int file_quotient(STANZA *s)
1529{
1530 BIGNUM *a = NULL, *b = NULL, *quotient = NULL, *remainder = NULL;
1531 BIGNUM *ret = NULL, *ret2 = NULL, *nnmod = NULL;
1532 BN_ULONG b_word, ret_word;
1533 int st = 0;
1534
1535 if (!TEST_ptr(a = getBN(s, "A"))
1536 || !TEST_ptr(b = getBN(s, "B"))
1537 || !TEST_ptr(quotient = getBN(s, "Quotient"))
1538 || !TEST_ptr(remainder = getBN(s, "Remainder"))
1539 || !TEST_ptr(ret = BN_new())
1540 || !TEST_ptr(ret2 = BN_new())
1541 || !TEST_ptr(nnmod = BN_new()))
1542 goto err;
1543
1544 if (!TEST_true(BN_div(ret, ret2, a, b, ctx))
1545 || !equalBN("A / B", quotient, ret)
1546 || !equalBN("A % B", remainder, ret2)
1547 || !TEST_true(BN_mul(ret, quotient, b, ctx))
1548 || !TEST_true(BN_add(ret, ret, remainder))
1549 || !equalBN("Quotient * B + Remainder", a, ret))
1550 goto err;
1551
1552 /*
1553 * Test with BN_mod_word() and BN_div_word() if the divisor is
1554 * small enough.
1555 */
1556 b_word = BN_get_word(b);
1557 if (!BN_is_negative(b) && b_word != (BN_ULONG)-1) {
1558 BN_ULONG remainder_word = BN_get_word(remainder);
1559
1560 assert(remainder_word != (BN_ULONG)-1);
1561 if (!TEST_ptr(BN_copy(ret, a)))
1562 goto err;
1563 ret_word = BN_div_word(ret, b_word);
1564 if (ret_word != remainder_word) {
1565#ifdef BN_DEC_FMT1
1566 TEST_error(
1567 "Got A %% B (word) = " BN_DEC_FMT1 ", wanted " BN_DEC_FMT1,
1568 ret_word, remainder_word);
1569#else
1570 TEST_error("Got A %% B (word) mismatch");
1571#endif
1572 goto err;
1573 }
1574 if (!equalBN ("A / B (word)", quotient, ret))
1575 goto err;
1576
1577 ret_word = BN_mod_word(a, b_word);
1578 if (ret_word != remainder_word) {
1579#ifdef BN_DEC_FMT1
1580 TEST_error(
1581 "Got A %% B (word) = " BN_DEC_FMT1 ", wanted " BN_DEC_FMT1 "",
1582 ret_word, remainder_word);
1583#else
1584 TEST_error("Got A %% B (word) mismatch");
1585#endif
1586 goto err;
1587 }
1588 }
1589
1590 /* Test BN_nnmod. */
1591 if (!BN_is_negative(b)) {
1592 if (!TEST_true(BN_copy(nnmod, remainder))
1593 || (BN_is_negative(nnmod)
1594 && !TEST_true(BN_add(nnmod, nnmod, b)))
1595 || !TEST_true(BN_nnmod(ret, a, b, ctx))
1596 || !equalBN("A % B (non-negative)", nnmod, ret))
1597 goto err;
1598 }
1599
1600 st = 1;
1601 err:
1602 BN_free(a);
1603 BN_free(b);
1604 BN_free(quotient);
1605 BN_free(remainder);
1606 BN_free(ret);
1607 BN_free(ret2);
1608 BN_free(nnmod);
1609 return st;
1610}
1611
1612static int file_modmul(STANZA *s)
1613{
1614 BIGNUM *a = NULL, *b = NULL, *m = NULL, *mod_mul = NULL, *ret = NULL;
1615 int st = 0;
1616
1617 if (!TEST_ptr(a = getBN(s, "A"))
1618 || !TEST_ptr(b = getBN(s, "B"))
1619 || !TEST_ptr(m = getBN(s, "M"))
1620 || !TEST_ptr(mod_mul = getBN(s, "ModMul"))
1621 || !TEST_ptr(ret = BN_new()))
1622 goto err;
1623
1624 if (!TEST_true(BN_mod_mul(ret, a, b, m, ctx))
1625 || !equalBN("A * B (mod M)", mod_mul, ret))
1626 goto err;
1627
1628 if (BN_is_odd(m)) {
1629 /* Reduce |a| and |b| and test the Montgomery version. */
1630 BN_MONT_CTX *mont = BN_MONT_CTX_new();
1631 BIGNUM *a_tmp = BN_new();
1632 BIGNUM *b_tmp = BN_new();
1633
1634 if (mont == NULL || a_tmp == NULL || b_tmp == NULL
1635 || !TEST_true(BN_MONT_CTX_set(mont, m, ctx))
1636 || !TEST_true(BN_nnmod(a_tmp, a, m, ctx))
1637 || !TEST_true(BN_nnmod(b_tmp, b, m, ctx))
1638 || !TEST_true(BN_to_montgomery(a_tmp, a_tmp, mont, ctx))
1639 || !TEST_true(BN_to_montgomery(b_tmp, b_tmp, mont, ctx))
1640 || !TEST_true(BN_mod_mul_montgomery(ret, a_tmp, b_tmp,
1641 mont, ctx))
1642 || !TEST_true(BN_from_montgomery(ret, ret, mont, ctx))
1643 || !equalBN("A * B (mod M) (mont)", mod_mul, ret))
1644 st = 0;
1645 else
1646 st = 1;
1647 BN_MONT_CTX_free(mont);
1648 BN_free(a_tmp);
1649 BN_free(b_tmp);
1650 if (st == 0)
1651 goto err;
1652 }
1653
1654 st = 1;
1655 err:
1656 BN_free(a);
1657 BN_free(b);
1658 BN_free(m);
1659 BN_free(mod_mul);
1660 BN_free(ret);
1661 return st;
1662}
1663
1664static int file_modexp(STANZA *s)
1665{
1666 BIGNUM *a = NULL, *e = NULL, *m = NULL, *mod_exp = NULL, *ret = NULL;
1667 BIGNUM *b = NULL, *c = NULL, *d = NULL;
1668 int st = 0;
1669
1670 if (!TEST_ptr(a = getBN(s, "A"))
1671 || !TEST_ptr(e = getBN(s, "E"))
1672 || !TEST_ptr(m = getBN(s, "M"))
1673 || !TEST_ptr(mod_exp = getBN(s, "ModExp"))
1674 || !TEST_ptr(ret = BN_new())
1675 || !TEST_ptr(d = BN_new()))
1676 goto err;
1677
1678 if (!TEST_true(BN_mod_exp(ret, a, e, m, ctx))
1679 || !equalBN("A ^ E (mod M)", mod_exp, ret))
1680 goto err;
1681
1682 if (BN_is_odd(m)) {
1683 if (!TEST_true(BN_mod_exp_mont(ret, a, e, m, ctx, NULL))
1684 || !equalBN("A ^ E (mod M) (mont)", mod_exp, ret)
1685 || !TEST_true(BN_mod_exp_mont_consttime(ret, a, e, m,
1686 ctx, NULL))
1687 || !equalBN("A ^ E (mod M) (mont const", mod_exp, ret))
1688 goto err;
1689 }
1690
1691 /* Regression test for carry propagation bug in sqr8x_reduction */
1692 BN_hex2bn(&a, "050505050505");
1693 BN_hex2bn(&b, "02");
1694 BN_hex2bn(&c,
1695 "4141414141414141414141274141414141414141414141414141414141414141"
1696 "4141414141414141414141414141414141414141414141414141414141414141"
1697 "4141414141414141414141800000000000000000000000000000000000000000"
1698 "0000000000000000000000000000000000000000000000000000000000000000"
1699 "0000000000000000000000000000000000000000000000000000000000000000"
1700 "0000000000000000000000000000000000000000000000000000000001");
1701 if (!TEST_true(BN_mod_exp(d, a, b, c, ctx))
1702 || !TEST_true(BN_mul(e, a, a, ctx))
1703 || !TEST_BN_eq(d, e))
1704 goto err;
1705
1706 st = 1;
1707 err:
1708 BN_free(a);
1709 BN_free(b);
1710 BN_free(c);
1711 BN_free(d);
1712 BN_free(e);
1713 BN_free(m);
1714 BN_free(mod_exp);
1715 BN_free(ret);
1716 return st;
1717}
1718
1719static int file_exp(STANZA *s)
1720{
1721 BIGNUM *a = NULL, *e = NULL, *exp = NULL, *ret = NULL;
1722 int st = 0;
1723
1724 if (!TEST_ptr(a = getBN(s, "A"))
1725 || !TEST_ptr(e = getBN(s, "E"))
1726 || !TEST_ptr(exp = getBN(s, "Exp"))
1727 || !TEST_ptr(ret = BN_new()))
1728 goto err;
1729
1730 if (!TEST_true(BN_exp(ret, a, e, ctx))
1731 || !equalBN("A ^ E", exp, ret))
1732 goto err;
1733
1734 st = 1;
1735 err:
1736 BN_free(a);
1737 BN_free(e);
1738 BN_free(exp);
1739 BN_free(ret);
1740 return st;
1741}
1742
1743static int file_modsqrt(STANZA *s)
1744{
1745 BIGNUM *a = NULL, *p = NULL, *mod_sqrt = NULL, *ret = NULL, *ret2 = NULL;
1746 int st = 0;
1747
1748 if (!TEST_ptr(a = getBN(s, "A"))
1749 || !TEST_ptr(p = getBN(s, "P"))
1750 || !TEST_ptr(mod_sqrt = getBN(s, "ModSqrt"))
1751 || !TEST_ptr(ret = BN_new())
1752 || !TEST_ptr(ret2 = BN_new()))
1753 goto err;
1754
1755 if (BN_is_negative(mod_sqrt)) {
1756 /* A negative testcase */
1757 if (!TEST_ptr_null(BN_mod_sqrt(ret, a, p, ctx)))
1758 goto err;
1759
1760 st = 1;
1761 goto err;
1762 }
1763
1764 /* There are two possible answers. */
1765 if (!TEST_ptr(BN_mod_sqrt(ret, a, p, ctx))
1766 || !TEST_true(BN_sub(ret2, p, ret)))
1767 goto err;
1768
1769 /* The first condition should NOT be a test. */
1770 if (BN_cmp(ret2, mod_sqrt) != 0
1771 && !equalBN("sqrt(A) (mod P)", mod_sqrt, ret))
1772 goto err;
1773
1774 st = 1;
1775 err:
1776 BN_free(a);
1777 BN_free(p);
1778 BN_free(mod_sqrt);
1779 BN_free(ret);
1780 BN_free(ret2);
1781 return st;
1782}
1783
1784static int file_gcd(STANZA *s)
1785{
1786 BIGNUM *a = NULL, *b = NULL, *gcd = NULL, *ret = NULL;
1787 int st = 0;
1788
1789 if (!TEST_ptr(a = getBN(s, "A"))
1790 || !TEST_ptr(b = getBN(s, "B"))
1791 || !TEST_ptr(gcd = getBN(s, "GCD"))
1792 || !TEST_ptr(ret = BN_new()))
1793 goto err;
1794
1795 if (!TEST_true(BN_gcd(ret, a, b, ctx))
1796 || !equalBN("gcd(A,B)", gcd, ret))
1797 goto err;
1798
1799 st = 1;
1800 err:
1801 BN_free(a);
1802 BN_free(b);
1803 BN_free(gcd);
1804 BN_free(ret);
1805 return st;
1806}
1807
1808static int test_bn2padded(void)
1809{
1810 uint8_t zeros[256], out[256], reference[128];
1811 size_t bytes;
1812 BIGNUM *n;
1813 int st = 0;
1814
1815 /* Test edge case at 0. */
1816 if (!TEST_ptr((n = BN_new())))
1817 goto err;
1818 if (!TEST_int_eq(BN_bn2binpad(n, NULL, 0), 0))
1819 goto err;
1820 memset(out, -1, sizeof(out));
1821 if (!TEST_int_eq(BN_bn2binpad(n, out, sizeof(out)), sizeof(out)))
1822 goto err;
1823 memset(zeros, 0, sizeof(zeros));
1824 if (!TEST_mem_eq(zeros, sizeof(zeros), out, sizeof(out)))
1825 goto err;
1826
1827 /* Test a random numbers at various byte lengths. */
1828 for (bytes = 128 - 7; bytes <= 128; bytes++) {
1829# define TOP_BIT_ON 0
1830# define BOTTOM_BIT_NOTOUCH 0
1831 if (!TEST_true(BN_rand(n, bytes * 8, TOP_BIT_ON, BOTTOM_BIT_NOTOUCH)))
1832 goto err;
1833 if (!TEST_int_eq(BN_num_bytes(n), bytes)
1834 || !TEST_int_eq(BN_bn2bin(n, reference), bytes))
1835 goto err;
1836 /* Empty buffer should fail. */
1837 if (!TEST_int_eq(BN_bn2binpad(n, NULL, 0), -1))
1838 goto err;
1839 /* One byte short should fail. */
1840 if (!TEST_int_eq(BN_bn2binpad(n, out, bytes - 1), -1))
1841 goto err;
1842 /* Exactly right size should encode. */
1843 if (!TEST_int_eq(BN_bn2binpad(n, out, bytes), bytes)
1844 || !TEST_mem_eq(out, bytes, reference, bytes))
1845 goto err;
1846 /* Pad up one byte extra. */
1847 if (!TEST_int_eq(BN_bn2binpad(n, out, bytes + 1), bytes + 1)
1848 || !TEST_mem_eq(out + 1, bytes, reference, bytes)
1849 || !TEST_mem_eq(out, 1, zeros, 1))
1850 goto err;
1851 /* Pad up to 256. */
1852 if (!TEST_int_eq(BN_bn2binpad(n, out, sizeof(out)), sizeof(out))
1853 || !TEST_mem_eq(out + sizeof(out) - bytes, bytes,
1854 reference, bytes)
1855 || !TEST_mem_eq(out, sizeof(out) - bytes,
1856 zeros, sizeof(out) - bytes))
1857 goto err;
1858 }
1859
1860 st = 1;
1861 err:
1862 BN_free(n);
1863 return st;
1864}
1865
1866static const MPITEST kSignedTests_BE[] = {
1867 {"-1", "\xff", 1},
1868 {"0", "", 0},
1869 {"1", "\x01", 1},
1870 /*
1871 * The above cover the basics, now let's go for possible bignum
1872 * chunk edges and other word edges (for a broad definition of
1873 * "word", i.e. 1 byte included).
1874 */
1875 /* 1 byte edge */
1876 {"127", "\x7f", 1},
1877 {"-127", "\x81", 1},
1878 {"128", "\x00\x80", 2},
1879 {"-128", "\x80", 1},
1880 {"129", "\x00\x81", 2},
1881 {"-129", "\xff\x7f", 2},
1882 {"255", "\x00\xff", 2},
1883 {"-255", "\xff\x01", 2},
1884 {"256", "\x01\x00", 2},
1885 {"-256", "\xff\x00", 2},
1886 /* 2 byte edge */
1887 {"32767", "\x7f\xff", 2},
1888 {"-32767", "\x80\x01", 2},
1889 {"32768", "\x00\x80\x00", 3},
1890 {"-32768", "\x80\x00", 2},
1891 {"32769", "\x00\x80\x01", 3},
1892 {"-32769", "\xff\x7f\xff", 3},
1893 {"65535", "\x00\xff\xff", 3},
1894 {"-65535", "\xff\x00\x01", 3},
1895 {"65536", "\x01\x00\x00", 3},
1896 {"-65536", "\xff\x00\x00", 3},
1897 /* 4 byte edge */
1898 {"2147483647", "\x7f\xff\xff\xff", 4},
1899 {"-2147483647", "\x80\x00\x00\x01", 4},
1900 {"2147483648", "\x00\x80\x00\x00\x00", 5},
1901 {"-2147483648", "\x80\x00\x00\x00", 4},
1902 {"2147483649", "\x00\x80\x00\x00\x01", 5},
1903 {"-2147483649", "\xff\x7f\xff\xff\xff", 5},
1904 {"4294967295", "\x00\xff\xff\xff\xff", 5},
1905 {"-4294967295", "\xff\x00\x00\x00\x01", 5},
1906 {"4294967296", "\x01\x00\x00\x00\x00", 5},
1907 {"-4294967296", "\xff\x00\x00\x00\x00", 5},
1908 /* 8 byte edge */
1909 {"9223372036854775807", "\x7f\xff\xff\xff\xff\xff\xff\xff", 8},
1910 {"-9223372036854775807", "\x80\x00\x00\x00\x00\x00\x00\x01", 8},
1911 {"9223372036854775808", "\x00\x80\x00\x00\x00\x00\x00\x00\x00", 9},
1912 {"-9223372036854775808", "\x80\x00\x00\x00\x00\x00\x00\x00", 8},
1913 {"9223372036854775809", "\x00\x80\x00\x00\x00\x00\x00\x00\x01", 9},
1914 {"-9223372036854775809", "\xff\x7f\xff\xff\xff\xff\xff\xff\xff", 9},
1915 {"18446744073709551615", "\x00\xff\xff\xff\xff\xff\xff\xff\xff", 9},
1916 {"-18446744073709551615", "\xff\x00\x00\x00\x00\x00\x00\x00\x01", 9},
1917 {"18446744073709551616", "\x01\x00\x00\x00\x00\x00\x00\x00\x00", 9},
1918 {"-18446744073709551616", "\xff\x00\x00\x00\x00\x00\x00\x00\x00", 9},
1919};
1920
1921static int copy_reversed(uint8_t *dst, uint8_t *src, size_t len)
1922{
1923 for (dst += len - 1; len > 0; src++, dst--, len--)
1924 *dst = *src;
1925 return 1;
1926}
1927
1928static int test_bn2signed(int i)
1929{
1930 uint8_t scratch[10], reversed[10];
1931 const MPITEST *test = &kSignedTests_BE[i];
1932 BIGNUM *bn = NULL, *bn2 = NULL;
1933 int st = 0;
1934
1935 if (!TEST_ptr(bn = BN_new())
1936 || !TEST_true(BN_asc2bn(&bn, test->base10)))
1937 goto err;
1938
1939 /*
1940 * Check BN_signed_bn2bin() / BN_signed_bin2bn()
1941 * The interesting stuff happens in the last bytes of the buffers,
1942 * the beginning is just padding (i.e. sign extension).
1943 */
1944 i = sizeof(scratch) - test->mpi_len;
1945 if (!TEST_int_eq(BN_signed_bn2bin(bn, scratch, sizeof(scratch)),
1946 sizeof(scratch))
1947 || !TEST_true(copy_reversed(reversed, scratch, sizeof(scratch)))
1948 || !TEST_mem_eq(test->mpi, test->mpi_len, scratch + i, test->mpi_len))
1949 goto err;
1950
1951 if (!TEST_ptr(bn2 = BN_signed_bin2bn(scratch, sizeof(scratch), NULL))
1952 || !TEST_BN_eq(bn, bn2))
1953 goto err;
1954
1955 BN_free(bn2);
1956 bn2 = NULL;
1957
1958 /* Check that a parse of the reversed buffer works too */
1959 if (!TEST_ptr(bn2 = BN_signed_lebin2bn(reversed, sizeof(reversed), NULL))
1960 || !TEST_BN_eq(bn, bn2))
1961 goto err;
1962
1963 BN_free(bn2);
1964 bn2 = NULL;
1965
1966 /*
1967 * Check BN_signed_bn2lebin() / BN_signed_lebin2bn()
1968 * The interesting stuff happens in the first bytes of the buffers,
1969 * the end is just padding (i.e. sign extension).
1970 */
1971 i = sizeof(reversed) - test->mpi_len;
1972 if (!TEST_int_eq(BN_signed_bn2lebin(bn, scratch, sizeof(scratch)),
1973 sizeof(scratch))
1974 || !TEST_true(copy_reversed(reversed, scratch, sizeof(scratch)))
1975 || !TEST_mem_eq(test->mpi, test->mpi_len, reversed + i, test->mpi_len))
1976 goto err;
1977
1978 if (!TEST_ptr(bn2 = BN_signed_lebin2bn(scratch, sizeof(scratch), NULL))
1979 || !TEST_BN_eq(bn, bn2))
1980 goto err;
1981
1982 BN_free(bn2);
1983 bn2 = NULL;
1984
1985 /* Check that a parse of the reversed buffer works too */
1986 if (!TEST_ptr(bn2 = BN_signed_bin2bn(reversed, sizeof(reversed), NULL))
1987 || !TEST_BN_eq(bn, bn2))
1988 goto err;
1989
1990 st = 1;
1991 err:
1992 BN_free(bn2);
1993 BN_free(bn);
1994 return st;
1995}
1996
1997static int test_dec2bn(void)
1998{
1999 BIGNUM *bn = NULL;
2000 int st = 0;
2001
2002 if (!TEST_int_eq(parsedecBN(&bn, "0"), 1)
2003 || !TEST_BN_eq_word(bn, 0)
2004 || !TEST_BN_eq_zero(bn)
2005 || !TEST_BN_le_zero(bn)
2006 || !TEST_BN_ge_zero(bn)
2007 || !TEST_BN_even(bn))
2008 goto err;
2009 BN_free(bn);
2010 bn = NULL;
2011
2012 if (!TEST_int_eq(parsedecBN(&bn, "256"), 3)
2013 || !TEST_BN_eq_word(bn, 256)
2014 || !TEST_BN_ge_zero(bn)
2015 || !TEST_BN_gt_zero(bn)
2016 || !TEST_BN_ne_zero(bn)
2017 || !TEST_BN_even(bn))
2018 goto err;
2019 BN_free(bn);
2020 bn = NULL;
2021
2022 if (!TEST_int_eq(parsedecBN(&bn, "-42"), 3)
2023 || !TEST_BN_abs_eq_word(bn, 42)
2024 || !TEST_BN_lt_zero(bn)
2025 || !TEST_BN_le_zero(bn)
2026 || !TEST_BN_ne_zero(bn)
2027 || !TEST_BN_even(bn))
2028 goto err;
2029 BN_free(bn);
2030 bn = NULL;
2031
2032 if (!TEST_int_eq(parsedecBN(&bn, "1"), 1)
2033 || !TEST_BN_eq_word(bn, 1)
2034 || !TEST_BN_ne_zero(bn)
2035 || !TEST_BN_gt_zero(bn)
2036 || !TEST_BN_ge_zero(bn)
2037 || !TEST_BN_eq_one(bn)
2038 || !TEST_BN_odd(bn))
2039 goto err;
2040 BN_free(bn);
2041 bn = NULL;
2042
2043 if (!TEST_int_eq(parsedecBN(&bn, "-0"), 2)
2044 || !TEST_BN_eq_zero(bn)
2045 || !TEST_BN_ge_zero(bn)
2046 || !TEST_BN_le_zero(bn)
2047 || !TEST_BN_even(bn))
2048 goto err;
2049 BN_free(bn);
2050 bn = NULL;
2051
2052 if (!TEST_int_eq(parsedecBN(&bn, "42trailing garbage is ignored"), 2)
2053 || !TEST_BN_abs_eq_word(bn, 42)
2054 || !TEST_BN_ge_zero(bn)
2055 || !TEST_BN_gt_zero(bn)
2056 || !TEST_BN_ne_zero(bn)
2057 || !TEST_BN_even(bn))
2058 goto err;
2059
2060 st = 1;
2061 err:
2062 BN_free(bn);
2063 return st;
2064}
2065
2066static int test_hex2bn(void)
2067{
2068 BIGNUM *bn = NULL;
2069 int st = 0;
2070
2071 if (!TEST_int_eq(parseBN(&bn, "0"), 1)
2072 || !TEST_BN_eq_zero(bn)
2073 || !TEST_BN_ge_zero(bn)
2074 || !TEST_BN_even(bn))
2075 goto err;
2076 BN_free(bn);
2077 bn = NULL;
2078
2079 if (!TEST_int_eq(parseBN(&bn, "256"), 3)
2080 || !TEST_BN_eq_word(bn, 0x256)
2081 || !TEST_BN_ge_zero(bn)
2082 || !TEST_BN_gt_zero(bn)
2083 || !TEST_BN_ne_zero(bn)
2084 || !TEST_BN_even(bn))
2085 goto err;
2086 BN_free(bn);
2087 bn = NULL;
2088
2089 if (!TEST_int_eq(parseBN(&bn, "-42"), 3)
2090 || !TEST_BN_abs_eq_word(bn, 0x42)
2091 || !TEST_BN_lt_zero(bn)
2092 || !TEST_BN_le_zero(bn)
2093 || !TEST_BN_ne_zero(bn)
2094 || !TEST_BN_even(bn))
2095 goto err;
2096 BN_free(bn);
2097 bn = NULL;
2098
2099 if (!TEST_int_eq(parseBN(&bn, "cb"), 2)
2100 || !TEST_BN_eq_word(bn, 0xCB)
2101 || !TEST_BN_ge_zero(bn)
2102 || !TEST_BN_gt_zero(bn)
2103 || !TEST_BN_ne_zero(bn)
2104 || !TEST_BN_odd(bn))
2105 goto err;
2106 BN_free(bn);
2107 bn = NULL;
2108
2109 if (!TEST_int_eq(parseBN(&bn, "-0"), 2)
2110 || !TEST_BN_eq_zero(bn)
2111 || !TEST_BN_ge_zero(bn)
2112 || !TEST_BN_le_zero(bn)
2113 || !TEST_BN_even(bn))
2114 goto err;
2115 BN_free(bn);
2116 bn = NULL;
2117
2118 if (!TEST_int_eq(parseBN(&bn, "abctrailing garbage is ignored"), 3)
2119 || !TEST_BN_eq_word(bn, 0xabc)
2120 || !TEST_BN_ge_zero(bn)
2121 || !TEST_BN_gt_zero(bn)
2122 || !TEST_BN_ne_zero(bn)
2123 || !TEST_BN_even(bn))
2124 goto err;
2125 st = 1;
2126
2127 err:
2128 BN_free(bn);
2129 return st;
2130}
2131
2132static int test_asc2bn(void)
2133{
2134 BIGNUM *bn = NULL;
2135 int st = 0;
2136
2137 if (!TEST_ptr(bn = BN_new()))
2138 goto err;
2139
2140 if (!TEST_true(BN_asc2bn(&bn, "0"))
2141 || !TEST_BN_eq_zero(bn)
2142 || !TEST_BN_ge_zero(bn))
2143 goto err;
2144
2145 if (!TEST_true(BN_asc2bn(&bn, "256"))
2146 || !TEST_BN_eq_word(bn, 256)
2147 || !TEST_BN_ge_zero(bn))
2148 goto err;
2149
2150 if (!TEST_true(BN_asc2bn(&bn, "-42"))
2151 || !TEST_BN_abs_eq_word(bn, 42)
2152 || !TEST_BN_lt_zero(bn))
2153 goto err;
2154
2155 if (!TEST_true(BN_asc2bn(&bn, "0x1234"))
2156 || !TEST_BN_eq_word(bn, 0x1234)
2157 || !TEST_BN_ge_zero(bn))
2158 goto err;
2159
2160 if (!TEST_true(BN_asc2bn(&bn, "0X1234"))
2161 || !TEST_BN_eq_word(bn, 0x1234)
2162 || !TEST_BN_ge_zero(bn))
2163 goto err;
2164
2165 if (!TEST_true(BN_asc2bn(&bn, "-0xabcd"))
2166 || !TEST_BN_abs_eq_word(bn, 0xabcd)
2167 || !TEST_BN_lt_zero(bn))
2168 goto err;
2169
2170 if (!TEST_true(BN_asc2bn(&bn, "-0"))
2171 || !TEST_BN_eq_zero(bn)
2172 || !TEST_BN_ge_zero(bn))
2173 goto err;
2174
2175 if (!TEST_true(BN_asc2bn(&bn, "123trailing garbage is ignored"))
2176 || !TEST_BN_eq_word(bn, 123)
2177 || !TEST_BN_ge_zero(bn))
2178 goto err;
2179
2180 st = 1;
2181 err:
2182 BN_free(bn);
2183 return st;
2184}
2185
2186static const MPITEST kMPITests[] = {
2187 {"0", "\x00\x00\x00\x00", 4},
2188 {"1", "\x00\x00\x00\x01\x01", 5},
2189 {"-1", "\x00\x00\x00\x01\x81", 5},
2190 {"128", "\x00\x00\x00\x02\x00\x80", 6},
2191 {"256", "\x00\x00\x00\x02\x01\x00", 6},
2192 {"-256", "\x00\x00\x00\x02\x81\x00", 6},
2193};
2194
2195static int test_mpi(int i)
2196{
2197 uint8_t scratch[8];
2198 const MPITEST *test = &kMPITests[i];
2199 size_t mpi_len, mpi_len2;
2200 BIGNUM *bn = NULL;
2201 BIGNUM *bn2 = NULL;
2202 int st = 0;
2203
2204 if (!TEST_ptr(bn = BN_new())
2205 || !TEST_true(BN_asc2bn(&bn, test->base10)))
2206 goto err;
2207 mpi_len = BN_bn2mpi(bn, NULL);
2208 if (!TEST_size_t_le(mpi_len, sizeof(scratch)))
2209 goto err;
2210
2211 if (!TEST_size_t_eq(mpi_len2 = BN_bn2mpi(bn, scratch), mpi_len)
2212 || !TEST_mem_eq(test->mpi, test->mpi_len, scratch, mpi_len))
2213 goto err;
2214
2215 if (!TEST_ptr(bn2 = BN_mpi2bn(scratch, mpi_len, NULL)))
2216 goto err;
2217
2218 if (!TEST_BN_eq(bn, bn2)) {
2219 BN_free(bn2);
2220 goto err;
2221 }
2222 BN_free(bn2);
2223
2224 st = 1;
2225 err:
2226 BN_free(bn);
2227 return st;
2228}
2229
2230static int test_bin2zero(void)
2231{
2232 unsigned char input[] = { 0 };
2233 BIGNUM *zbn = NULL;
2234 int ret = 0;
2235
2236 if (!TEST_ptr(zbn = BN_new()))
2237 goto err;
2238
2239#define zerotest(fn) \
2240 if (!TEST_ptr(fn(input, 1, zbn)) \
2241 || !TEST_true(BN_is_zero(zbn)) \
2242 || !TEST_ptr(fn(input, 0, zbn)) \
2243 || !TEST_true(BN_is_zero(zbn)) \
2244 || !TEST_ptr(fn(NULL, 0, zbn)) \
2245 || !TEST_true(BN_is_zero(zbn))) \
2246 goto err
2247
2248 zerotest(BN_bin2bn);
2249 zerotest(BN_signed_bin2bn);
2250 zerotest(BN_lebin2bn);
2251 zerotest(BN_signed_lebin2bn);
2252#undef zerotest
2253
2254 ret = 1;
2255 err:
2256 BN_free(zbn);
2257 return ret;
2258}
2259
2260static int test_bin2bn_lengths(void)
2261{
2262 unsigned char input[] = { 1, 2 };
2263 BIGNUM *bn_be = NULL, *bn_expected_be = NULL;
2264 BIGNUM *bn_le = NULL, *bn_expected_le = NULL;
2265 int ret = 0;
2266
2267 if (!TEST_ptr(bn_be = BN_new())
2268 || !TEST_ptr(bn_expected_be = BN_new())
2269 || !TEST_true(BN_set_word(bn_expected_be, 0x102))
2270 || !TEST_ptr(bn_le = BN_new())
2271 || !TEST_ptr(bn_expected_le = BN_new())
2272 || !TEST_true(BN_set_word(bn_expected_le, 0x201)))
2273 goto err;
2274
2275#define lengthtest(fn, e) \
2276 if (!TEST_ptr_null(fn(input, -1, bn_##e)) \
2277 || !TEST_ptr(fn(input, 0, bn_##e)) \
2278 || !TEST_true(BN_is_zero(bn_##e)) \
2279 || !TEST_ptr(fn(input, 2, bn_##e)) \
2280 || !TEST_int_eq(BN_cmp(bn_##e, bn_expected_##e), 0)) \
2281 goto err
2282
2283 lengthtest(BN_bin2bn, be);
2284 lengthtest(BN_signed_bin2bn, be);
2285 lengthtest(BN_lebin2bn, le);
2286 lengthtest(BN_signed_lebin2bn, le);
2287#undef lengthtest
2288
2289 ret = 1;
2290 err:
2291 BN_free(bn_be);
2292 BN_free(bn_expected_be);
2293 BN_free(bn_le);
2294 BN_free(bn_expected_le);
2295 return ret;
2296}
2297
2298static int test_rand(void)
2299{
2300 BIGNUM *bn = NULL;
2301 int st = 0;
2302
2303 if (!TEST_ptr(bn = BN_new()))
2304 return 0;
2305
2306 /* Test BN_rand for degenerate cases with |top| and |bottom| parameters. */
2307 if (!TEST_false(BN_rand(bn, 0, 0 /* top */ , 0 /* bottom */ ))
2308 || !TEST_false(BN_rand(bn, 0, 1 /* top */ , 1 /* bottom */ ))
2309 || !TEST_true(BN_rand(bn, 1, 0 /* top */ , 0 /* bottom */ ))
2310 || !TEST_BN_eq_one(bn)
2311 || !TEST_false(BN_rand(bn, 1, 1 /* top */ , 0 /* bottom */ ))
2312 || !TEST_true(BN_rand(bn, 1, -1 /* top */ , 1 /* bottom */ ))
2313 || !TEST_BN_eq_one(bn)
2314 || !TEST_true(BN_rand(bn, 2, 1 /* top */ , 0 /* bottom */ ))
2315 || !TEST_BN_eq_word(bn, 3))
2316 goto err;
2317
2318 st = 1;
2319 err:
2320 BN_free(bn);
2321 return st;
2322}
2323
2324/*
2325 * Run some statistical tests to provide a degree confidence that the
2326 * BN_rand_range() function works as expected. The test cases and
2327 * critical values are generated by the bn_rand_range script.
2328 *
2329 * Each individual test is a Chi^2 goodness of fit for a specified number
2330 * of samples and range. The samples are assumed to be independent and
2331 * that they are from a discrete uniform distribution.
2332 *
2333 * Some of these individual tests are expected to fail, the success/failure
2334 * of each is an independent Bernoulli trial. The number of such successes
2335 * will form a binomial distribution. The count of the successes is compared
2336 * against a precomputed critical value to determine the overall outcome.
2337 */
2338struct rand_range_case {
2339 unsigned int range;
2340 unsigned int iterations;
2341 double critical;
2342};
2343
2344#include "bn_rand_range.h"
2345
2346static int test_rand_range_single(size_t n)
2347{
2348 const unsigned int range = rand_range_cases[n].range;
2349 const unsigned int iterations = rand_range_cases[n].iterations;
2350 const double critical = rand_range_cases[n].critical;
2351 const double expected = iterations / (double)range;
2352 double sum = 0;
2353 BIGNUM *rng = NULL, *val = NULL;
2354 size_t *counts;
2355 unsigned int i, v;
2356 int res = 0;
2357
2358 if (!TEST_ptr(counts = OPENSSL_zalloc(sizeof(*counts) * range))
2359 || !TEST_ptr(rng = BN_new())
2360 || !TEST_ptr(val = BN_new())
2361 || !TEST_true(BN_set_word(rng, range)))
2362 goto err;
2363 for (i = 0; i < iterations; i++) {
2364 if (!TEST_true(BN_rand_range(val, rng))
2365 || !TEST_uint_lt(v = (unsigned int)BN_get_word(val), range))
2366 goto err;
2367 counts[v]++;
2368 }
2369
2370 for (i = 0; i < range; i++) {
2371 const double delta = counts[i] - expected;
2372 sum += delta * delta;
2373 }
2374 sum /= expected;
2375
2376 if (sum > critical) {
2377 TEST_info("Chi^2 test negative %.4f > %4.f", sum, critical);
2378 TEST_note("test case %zu range %u iterations %u", n + 1, range,
2379 iterations);
2380 goto err;
2381 }
2382
2383 res = 1;
2384err:
2385 BN_free(rng);
2386 BN_free(val);
2387 OPENSSL_free(counts);
2388 return res;
2389}
2390
2391static int test_rand_range(void)
2392{
2393 int n_success = 0;
2394 size_t i;
2395
2396 for (i = 0; i < OSSL_NELEM(rand_range_cases); i++)
2397 n_success += test_rand_range_single(i);
2398 if (TEST_int_ge(n_success, binomial_critical))
2399 return 1;
2400 TEST_note("This test is expected to fail by chance 0.01%% of the time.");
2401 return 0;
2402}
2403
2404static int test_negzero(void)
2405{
2406 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
2407 BIGNUM *numerator = NULL, *denominator = NULL;
2408 int consttime, st = 0;
2409
2410 if (!TEST_ptr(a = BN_new())
2411 || !TEST_ptr(b = BN_new())
2412 || !TEST_ptr(c = BN_new())
2413 || !TEST_ptr(d = BN_new()))
2414 goto err;
2415
2416 /* Test that BN_mul never gives negative zero. */
2417 if (!TEST_true(BN_set_word(a, 1)))
2418 goto err;
2419 BN_set_negative(a, 1);
2420 BN_zero(b);
2421 if (!TEST_true(BN_mul(c, a, b, ctx)))
2422 goto err;
2423 if (!TEST_BN_eq_zero(c)
2424 || !TEST_BN_ge_zero(c))
2425 goto err;
2426
2427 for (consttime = 0; consttime < 2; consttime++) {
2428 if (!TEST_ptr(numerator = BN_new())
2429 || !TEST_ptr(denominator = BN_new()))
2430 goto err;
2431 if (consttime) {
2432 BN_set_flags(numerator, BN_FLG_CONSTTIME);
2433 BN_set_flags(denominator, BN_FLG_CONSTTIME);
2434 }
2435 /* Test that BN_div never gives negative zero in the quotient. */
2436 if (!TEST_true(BN_set_word(numerator, 1))
2437 || !TEST_true(BN_set_word(denominator, 2)))
2438 goto err;
2439 BN_set_negative(numerator, 1);
2440 if (!TEST_true(BN_div(a, b, numerator, denominator, ctx))
2441 || !TEST_BN_eq_zero(a)
2442 || !TEST_BN_ge_zero(a))
2443 goto err;
2444
2445 /* Test that BN_div never gives negative zero in the remainder. */
2446 if (!TEST_true(BN_set_word(denominator, 1))
2447 || !TEST_true(BN_div(a, b, numerator, denominator, ctx))
2448 || !TEST_BN_eq_zero(b)
2449 || !TEST_BN_ge_zero(b))
2450 goto err;
2451 BN_free(numerator);
2452 BN_free(denominator);
2453 numerator = denominator = NULL;
2454 }
2455
2456 /* Test that BN_set_negative will not produce a negative zero. */
2457 BN_zero(a);
2458 BN_set_negative(a, 1);
2459 if (BN_is_negative(a))
2460 goto err;
2461 st = 1;
2462
2463 err:
2464 BN_free(a);
2465 BN_free(b);
2466 BN_free(c);
2467 BN_free(d);
2468 BN_free(numerator);
2469 BN_free(denominator);
2470 return st;
2471}
2472
2473static int test_badmod(void)
2474{
2475 BIGNUM *a = NULL, *b = NULL, *zero = NULL;
2476 BN_MONT_CTX *mont = NULL;
2477 int st = 0;
2478
2479 if (!TEST_ptr(a = BN_new())
2480 || !TEST_ptr(b = BN_new())
2481 || !TEST_ptr(zero = BN_new())
2482 || !TEST_ptr(mont = BN_MONT_CTX_new()))
2483 goto err;
2484 BN_zero(zero);
2485
2486 if (!TEST_false(BN_div(a, b, BN_value_one(), zero, ctx)))
2487 goto err;
2488 ERR_clear_error();
2489
2490 if (!TEST_false(BN_mod_mul(a, BN_value_one(), BN_value_one(), zero, ctx)))
2491 goto err;
2492 ERR_clear_error();
2493
2494 if (!TEST_false(BN_mod_exp(a, BN_value_one(), BN_value_one(), zero, ctx)))
2495 goto err;
2496 ERR_clear_error();
2497
2498 if (!TEST_false(BN_mod_exp_mont(a, BN_value_one(), BN_value_one(),
2499 zero, ctx, NULL)))
2500 goto err;
2501 ERR_clear_error();
2502
2503 if (!TEST_false(BN_mod_exp_mont_consttime(a, BN_value_one(), BN_value_one(),
2504 zero, ctx, NULL)))
2505 goto err;
2506 ERR_clear_error();
2507
2508 if (!TEST_false(BN_MONT_CTX_set(mont, zero, ctx)))
2509 goto err;
2510 ERR_clear_error();
2511
2512 /* Some operations also may not be used with an even modulus. */
2513 if (!TEST_true(BN_set_word(b, 16)))
2514 goto err;
2515
2516 if (!TEST_false(BN_MONT_CTX_set(mont, b, ctx)))
2517 goto err;
2518 ERR_clear_error();
2519
2520 if (!TEST_false(BN_mod_exp_mont(a, BN_value_one(), BN_value_one(),
2521 b, ctx, NULL)))
2522 goto err;
2523 ERR_clear_error();
2524
2525 if (!TEST_false(BN_mod_exp_mont_consttime(a, BN_value_one(), BN_value_one(),
2526 b, ctx, NULL)))
2527 goto err;
2528 ERR_clear_error();
2529
2530 st = 1;
2531 err:
2532 BN_free(a);
2533 BN_free(b);
2534 BN_free(zero);
2535 BN_MONT_CTX_free(mont);
2536 return st;
2537}
2538
2539static int test_expmodzero(void)
2540{
2541 BIGNUM *a = NULL, *r = NULL, *zero = NULL;
2542 int st = 0;
2543
2544 if (!TEST_ptr(zero = BN_new())
2545 || !TEST_ptr(a = BN_new())
2546 || !TEST_ptr(r = BN_new()))
2547 goto err;
2548 BN_zero(zero);
2549
2550 if (!TEST_true(BN_mod_exp(r, a, zero, BN_value_one(), NULL))
2551 || !TEST_BN_eq_zero(r)
2552 || !TEST_true(BN_mod_exp_mont(r, a, zero, BN_value_one(),
2553 NULL, NULL))
2554 || !TEST_BN_eq_zero(r)
2555 || !TEST_true(BN_mod_exp_mont_consttime(r, a, zero,
2556 BN_value_one(),
2557 NULL, NULL))
2558 || !TEST_BN_eq_zero(r)
2559 || !TEST_true(BN_mod_exp_mont_word(r, 42, zero,
2560 BN_value_one(), NULL, NULL))
2561 || !TEST_BN_eq_zero(r))
2562 goto err;
2563
2564 st = 1;
2565 err:
2566 BN_free(zero);
2567 BN_free(a);
2568 BN_free(r);
2569 return st;
2570}
2571
2572static int test_expmodone(void)
2573{
2574 int ret = 0, i;
2575 BIGNUM *r = BN_new();
2576 BIGNUM *a = BN_new();
2577 BIGNUM *p = BN_new();
2578 BIGNUM *m = BN_new();
2579
2580 if (!TEST_ptr(r)
2581 || !TEST_ptr(a)
2582 || !TEST_ptr(p)
2583 || !TEST_ptr(p)
2584 || !TEST_ptr(m)
2585 || !TEST_true(BN_set_word(a, 1))
2586 || !TEST_true(BN_set_word(p, 0))
2587 || !TEST_true(BN_set_word(m, 1)))
2588 goto err;
2589
2590 /* Calculate r = 1 ^ 0 mod 1, and check the result is always 0 */
2591 for (i = 0; i < 2; i++) {
2592 if (!TEST_true(BN_mod_exp(r, a, p, m, NULL))
2593 || !TEST_BN_eq_zero(r)
2594 || !TEST_true(BN_mod_exp_mont(r, a, p, m, NULL, NULL))
2595 || !TEST_BN_eq_zero(r)
2596 || !TEST_true(BN_mod_exp_mont_consttime(r, a, p, m, NULL, NULL))
2597 || !TEST_BN_eq_zero(r)
2598 || !TEST_true(BN_mod_exp_mont_word(r, 1, p, m, NULL, NULL))
2599 || !TEST_BN_eq_zero(r)
2600 || !TEST_true(BN_mod_exp_simple(r, a, p, m, NULL))
2601 || !TEST_BN_eq_zero(r)
2602 || !TEST_true(BN_mod_exp_recp(r, a, p, m, NULL))
2603 || !TEST_BN_eq_zero(r))
2604 goto err;
2605 /* Repeat for r = 1 ^ 0 mod -1 */
2606 if (i == 0)
2607 BN_set_negative(m, 1);
2608 }
2609
2610 ret = 1;
2611 err:
2612 BN_free(r);
2613 BN_free(a);
2614 BN_free(p);
2615 BN_free(m);
2616 return ret;
2617}
2618
2619static int test_smallprime(int kBits)
2620{
2621 BIGNUM *r;
2622 int st = 0;
2623
2624 if (!TEST_ptr(r = BN_new()))
2625 goto err;
2626
2627 if (kBits <= 1) {
2628 if (!TEST_false(BN_generate_prime_ex(r, kBits, 0,
2629 NULL, NULL, NULL)))
2630 goto err;
2631 } else {
2632 if (!TEST_true(BN_generate_prime_ex(r, kBits, 0,
2633 NULL, NULL, NULL))
2634 || !TEST_int_eq(BN_num_bits(r), kBits))
2635 goto err;
2636 }
2637
2638 st = 1;
2639 err:
2640 BN_free(r);
2641 return st;
2642}
2643
2644static int test_smallsafeprime(int kBits)
2645{
2646 BIGNUM *r;
2647 int st = 0;
2648
2649 if (!TEST_ptr(r = BN_new()))
2650 goto err;
2651
2652 if (kBits <= 5 && kBits != 3) {
2653 if (!TEST_false(BN_generate_prime_ex(r, kBits, 1,
2654 NULL, NULL, NULL)))
2655 goto err;
2656 } else {
2657 if (!TEST_true(BN_generate_prime_ex(r, kBits, 1,
2658 NULL, NULL, NULL))
2659 || !TEST_int_eq(BN_num_bits(r), kBits))
2660 goto err;
2661 }
2662
2663 st = 1;
2664 err:
2665 BN_free(r);
2666 return st;
2667}
2668
2669static int primes[] = { 2, 3, 5, 7, 17863 };
2670
2671static int test_is_prime(int i)
2672{
2673 int ret = 0;
2674 BIGNUM *r = NULL;
2675 int trial;
2676
2677 if (!TEST_ptr(r = BN_new()))
2678 goto err;
2679
2680 for (trial = 0; trial <= 1; ++trial) {
2681 if (!TEST_true(BN_set_word(r, primes[i]))
2682 || !TEST_int_eq(BN_check_prime(r, ctx, NULL),
2683 1))
2684 goto err;
2685 }
2686
2687 ret = 1;
2688 err:
2689 BN_free(r);
2690 return ret;
2691}
2692
2693static int not_primes[] = { -1, 0, 1, 4 };
2694
2695static int test_not_prime(int i)
2696{
2697 int ret = 0;
2698 BIGNUM *r = NULL;
2699 int trial;
2700
2701 if (!TEST_ptr(r = BN_new()))
2702 goto err;
2703
2704 for (trial = 0; trial <= 1; ++trial) {
2705 if (!TEST_true(BN_set_word(r, not_primes[i]))
2706 || !TEST_false(BN_check_prime(r, ctx, NULL)))
2707 goto err;
2708 }
2709
2710 ret = 1;
2711 err:
2712 BN_free(r);
2713 return ret;
2714}
2715
2716static int test_ctx_set_ct_flag(BN_CTX *c)
2717{
2718 int st = 0;
2719 size_t i;
2720 BIGNUM *b[15];
2721
2722 BN_CTX_start(c);
2723 for (i = 0; i < OSSL_NELEM(b); i++) {
2724 if (!TEST_ptr(b[i] = BN_CTX_get(c)))
2725 goto err;
2726 if (i % 2 == 1)
2727 BN_set_flags(b[i], BN_FLG_CONSTTIME);
2728 }
2729
2730 st = 1;
2731 err:
2732 BN_CTX_end(c);
2733 return st;
2734}
2735
2736static int test_ctx_check_ct_flag(BN_CTX *c)
2737{
2738 int st = 0;
2739 size_t i;
2740 BIGNUM *b[30];
2741
2742 BN_CTX_start(c);
2743 for (i = 0; i < OSSL_NELEM(b); i++) {
2744 if (!TEST_ptr(b[i] = BN_CTX_get(c)))
2745 goto err;
2746 if (!TEST_false(BN_get_flags(b[i], BN_FLG_CONSTTIME)))
2747 goto err;
2748 }
2749
2750 st = 1;
2751 err:
2752 BN_CTX_end(c);
2753 return st;
2754}
2755
2756static int test_ctx_consttime_flag(void)
2757{
2758 /*-
2759 * The constant-time flag should not "leak" among BN_CTX frames:
2760 *
2761 * - test_ctx_set_ct_flag() starts a frame in the given BN_CTX and
2762 * sets the BN_FLG_CONSTTIME flag on some of the BIGNUMs obtained
2763 * from the frame before ending it.
2764 * - test_ctx_check_ct_flag() then starts a new frame and gets a
2765 * number of BIGNUMs from it. In absence of leaks, none of the
2766 * BIGNUMs in the new frame should have BN_FLG_CONSTTIME set.
2767 *
2768 * In actual BN_CTX usage inside libcrypto the leak could happen at
2769 * any depth level in the BN_CTX stack, with varying results
2770 * depending on the patterns of sibling trees of nested function
2771 * calls sharing the same BN_CTX object, and the effect of
2772 * unintended BN_FLG_CONSTTIME on the called BN_* functions.
2773 *
2774 * This simple unit test abstracts away this complexity and verifies
2775 * that the leak does not happen between two sibling functions
2776 * sharing the same BN_CTX object at the same level of nesting.
2777 *
2778 */
2779 BN_CTX *nctx = NULL;
2780 BN_CTX *sctx = NULL;
2781 size_t i = 0;
2782 int st = 0;
2783
2784 if (!TEST_ptr(nctx = BN_CTX_new())
2785 || !TEST_ptr(sctx = BN_CTX_secure_new()))
2786 goto err;
2787
2788 for (i = 0; i < 2; i++) {
2789 BN_CTX *c = i == 0 ? nctx : sctx;
2790 if (!TEST_true(test_ctx_set_ct_flag(c))
2791 || !TEST_true(test_ctx_check_ct_flag(c)))
2792 goto err;
2793 }
2794
2795 st = 1;
2796 err:
2797 BN_CTX_free(nctx);
2798 BN_CTX_free(sctx);
2799 return st;
2800}
2801
2802static int test_coprime(void)
2803{
2804 BIGNUM *a = NULL, *b = NULL;
2805 int ret = 0;
2806
2807 ret = TEST_ptr(a = BN_new())
2808 && TEST_ptr(b = BN_new())
2809 && TEST_true(BN_set_word(a, 66))
2810 && TEST_true(BN_set_word(b, 99))
2811 && TEST_int_eq(BN_are_coprime(a, b, ctx), 0)
2812 && TEST_int_eq(BN_are_coprime(b, a, ctx), 0)
2813 && TEST_true(BN_set_word(a, 67))
2814 && TEST_int_eq(BN_are_coprime(a, b, ctx), 1)
2815 && TEST_int_eq(BN_are_coprime(b, a, ctx), 1);
2816 BN_free(a);
2817 BN_free(b);
2818 return ret;
2819}
2820
2821static int test_gcd_prime(void)
2822{
2823 BIGNUM *a = NULL, *b = NULL, *gcd = NULL;
2824 int i, st = 0;
2825
2826 if (!TEST_ptr(a = BN_new())
2827 || !TEST_ptr(b = BN_new())
2828 || !TEST_ptr(gcd = BN_new()))
2829 goto err;
2830
2831 if (!TEST_true(BN_generate_prime_ex(a, 1024, 0, NULL, NULL, NULL)))
2832 goto err;
2833 for (i = 0; i < NUM_PRIME_TESTS; i++) {
2834 if (!TEST_true(BN_generate_prime_ex(b, 1024, 0,
2835 NULL, NULL, NULL))
2836 || !TEST_true(BN_gcd(gcd, a, b, ctx))
2837 || !TEST_true(BN_is_one(gcd))
2838 || !TEST_true(BN_are_coprime(a, b, ctx)))
2839 goto err;
2840 }
2841
2842 st = 1;
2843 err:
2844 BN_free(a);
2845 BN_free(b);
2846 BN_free(gcd);
2847 return st;
2848}
2849
2850typedef struct mod_exp_test_st
2851{
2852 const char *base;
2853 const char *exp;
2854 const char *mod;
2855 const char *res;
2856} MOD_EXP_TEST;
2857
2858static const MOD_EXP_TEST ModExpTests[] = {
2859 /* original test vectors for rsaz_512_sqr bug, by OSS-Fuzz */
2860 {
2861 "1166180238001879113042182292626169621106255558914000595999312084"
2862 "4627946820899490684928760491249738643524880720584249698100907201"
2863 "002086675047927600340800371",
2864 "8000000000000000000000000000000000000000000000000000000000000000"
2865 "0000000000000000000000000000000000000000000000000000000000000000"
2866 "00000000",
2867 "1340780792684523720980737645613191762604395855615117867483316354"
2868 "3294276330515137663421134775482798690129946803802212663956180562"
2869 "088664022929883876655300863",
2870 "8243904058268085430037326628480645845409758077568738532059032482"
2871 "8294114415890603594730158120426756266457928475330450251339773498"
2872 "26758407619521544102068438"
2873 },
2874 {
2875 "4974270041410803822078866696159586946995877618987010219312844726"
2876 "0284386121835740784990869050050504348861513337232530490826340663"
2877 "197278031692737429054",
2878 "4974270041410803822078866696159586946995877428188754995041148539"
2879 "1663243362592271353668158565195557417149981094324650322556843202"
2880 "946445882670777892608",
2881 "1340780716511420227215592830971452482815377482627251725537099028"
2882 "4429769497230131760206012644403029349547320953206103351725462999"
2883 "947509743623340557059752191",
2884 "5296244594780707015616522701706118082963369547253192207884519362"
2885 "1767869984947542695665420219028522815539559194793619684334900442"
2886 "49304558011362360473525933"
2887 },
2888 /* test vectors for rsaz_512_srq bug, with rcx/rbx=1 */
2889 { /* between first and second iteration */
2890 "5148719036160389201525610950887605325980251964889646556085286545"
2891 "3931548809178823413169359635978762036512397113080988070677858033"
2892 "36463909753993540214027190",
2893 "6703903964971298549787012499102923063739682910296196688861780721"
2894 "8608820150367734884009371490834517138450159290932430254268769414"
2895 "05973284973216824503042158",
2896 "6703903964971298549787012499102923063739682910296196688861780721"
2897 "8608820150367734884009371490834517138450159290932430254268769414"
2898 "05973284973216824503042159",
2899 "1"
2900 },
2901 { /* between second and third iteration */
2902 "8908340854353752577419678771330460827942371434853054158622636544"
2903 "8151360109722890949471912566649465436296659601091730745087014189"
2904 "2672764191218875181826063",
2905 "6703903964971298549787012499102923063739682910296196688861780721"
2906 "8608820150367734884009371490834517138450159290932430254268769414"
2907 "05973284973216824503042158",
2908 "6703903964971298549787012499102923063739682910296196688861780721"
2909 "8608820150367734884009371490834517138450159290932430254268769414"
2910 "05973284973216824503042159",
2911 "1"
2912 },
2913 { /* between third and fourth iteration */
2914 "3427446396505596330634350984901719674479522569002785244080234738"
2915 "4288743635435746136297299366444548736533053717416735379073185344"
2916 "26985272974404612945608761",
2917 "6703903964971298549787012499102923063739682910296196688861780721"
2918 "8608820150367734884009371490834517138450159290932430254268769414"
2919 "05973284973216824503042158",
2920 "6703903964971298549787012499102923063739682910296196688861780721"
2921 "8608820150367734884009371490834517138450159290932430254268769414"
2922 "05973284973216824503042159",
2923 "1"
2924 },
2925 { /* between fourth and fifth iteration */
2926 "3472743044917564564078857826111874560045331237315597383869652985"
2927 "6919870028890895988478351133601517365908445058405433832718206902"
2928 "4088133164805266956353542",
2929 "6703903964971298549787012499102923063739682910296196688861780721"
2930 "8608820150367734884009371490834517138450159290932430254268769414"
2931 "05973284973216824503042158",
2932 "6703903964971298549787012499102923063739682910296196688861780721"
2933 "8608820150367734884009371490834517138450159290932430254268769414"
2934 "05973284973216824503042159",
2935 "1"
2936 },
2937 { /* between fifth and sixth iteration */
2938 "3608632990153469264412378349742339216742409743898601587274768025"
2939 "0110772032985643555192767717344946174122842255204082586753499651"
2940 "14483434992887431333675068",
2941 "6703903964971298549787012499102923063739682910296196688861780721"
2942 "8608820150367734884009371490834517138450159290932430254268769414"
2943 "05973284973216824503042158",
2944 "6703903964971298549787012499102923063739682910296196688861780721"
2945 "8608820150367734884009371490834517138450159290932430254268769414"
2946 "05973284973216824503042159",
2947 "1"
2948 },
2949 { /* between sixth and seventh iteration */
2950 "8455374370234070242910508226941981520235709767260723212165264877"
2951 "8689064388017521524568434328264431772644802567028663962962025746"
2952 "9283458217850119569539086",
2953 "6703903964971298549787012499102923063739682910296196688861780721"
2954 "8608820150367734884009371490834517138450159290932430254268769414"
2955 "05973284973216824503042158",
2956 "6703903964971298549787012499102923063739682910296196688861780721"
2957 "8608820150367734884009371490834517138450159290932430254268769414"
2958 "05973284973216824503042159",
2959 "1"
2960 },
2961 { /* between seventh and eighth iteration */
2962 "5155371529688532178421209781159131443543419764974688878527112131"
2963 "7446518205609427412336183157918981038066636807317733319323257603"
2964 "04416292040754017461076359",
2965 "1005585594745694782468051874865438459560952436544429503329267108"
2966 "2791323022555160232601405723625177570767523893639864538140315412"
2967 "108959927459825236754563832",
2968 "1005585594745694782468051874865438459560952436544429503329267108"
2969 "2791323022555160232601405723625177570767523893639864538140315412"
2970 "108959927459825236754563833",
2971 "1"
2972 },
2973 /* test vectors for rsaz_512_srq bug, with rcx/rbx=2 */
2974 { /* between first and second iteration */
2975 "3155666506033786929967309937640790361084670559125912405342594979"
2976 "4345142818528956285490897841406338022378565972533508820577760065"
2977 "58494345853302083699912572",
2978 "6703903964971298549787012499102923063739682910296196688861780721"
2979 "8608820150367734884009371490834517138450159290932430254268769414"
2980 "05973284973216824503042158",
2981 "6703903964971298549787012499102923063739682910296196688861780721"
2982 "8608820150367734884009371490834517138450159290932430254268769414"
2983 "05973284973216824503042159",
2984 "1"
2985 },
2986 { /* between second and third iteration */
2987 "3789819583801342198190405714582958759005991915505282362397087750"
2988 "4213544724644823098843135685133927198668818185338794377239590049"
2989 "41019388529192775771488319",
2990 "6703903964971298549787012499102923063739682910296196688861780721"
2991 "8608820150367734884009371490834517138450159290932430254268769414"
2992 "05973284973216824503042158",
2993 "6703903964971298549787012499102923063739682910296196688861780721"
2994 "8608820150367734884009371490834517138450159290932430254268769414"
2995 "05973284973216824503042159",
2996 "1"
2997 },
2998 { /* between third and forth iteration */
2999 "4695752552040706867080542538786056470322165281761525158189220280"
3000 "4025547447667484759200742764246905647644662050122968912279199065"
3001 "48065034299166336940507214",
3002 "6703903964971298549787012499102923063739682910296196688861780721"
3003 "8608820150367734884009371490834517138450159290932430254268769414"
3004 "05973284973216824503042158",
3005 "6703903964971298549787012499102923063739682910296196688861780721"
3006 "8608820150367734884009371490834517138450159290932430254268769414"
3007 "05973284973216824503042159",
3008 "1"
3009 },
3010 { /* between forth and fifth iteration */
3011 "2159140240970485794188159431017382878636879856244045329971239574"
3012 "8919691133560661162828034323196457386059819832804593989740268964"
3013 "74502911811812651475927076",
3014 "6703903964971298549787012499102923063739682910296196688861780721"
3015 "8608820150367734884009371490834517138450159290932430254268769414"
3016 "05973284973216824503042158",
3017 "6703903964971298549787012499102923063739682910296196688861780721"
3018 "8608820150367734884009371490834517138450159290932430254268769414"
3019 "05973284973216824503042159",
3020 "1"
3021 },
3022 { /* between fifth and sixth iteration */
3023 "5239312332984325668414624633307915097111691815000872662334695514"
3024 "5436533521392362443557163429336808208137221322444780490437871903"
3025 "99972784701334569424519255",
3026 "6703903964971298549787012499102923063739682910296196688861780721"
3027 "8608820150367734884009371490834517138450159290932430254268769414"
3028 "05973284973216824503042158",
3029 "6703903964971298549787012499102923063739682910296196688861780721"
3030 "8608820150367734884009371490834517138450159290932430254268769414"
3031 "05973284973216824503042159",
3032 "1"
3033 },
3034 { /* between sixth and seventh iteration */
3035 "1977953647322612860406858017869125467496941904523063466791308891"
3036 "1172796739058531929470539758361774569875505293428856181093904091"
3037 "33788264851714311303725089",
3038 "6703903964971298549787012499102923063739682910296196688861780721"
3039 "8608820150367734884009371490834517138450159290932430254268769414"
3040 "05973284973216824503042158",
3041 "6703903964971298549787012499102923063739682910296196688861780721"
3042 "8608820150367734884009371490834517138450159290932430254268769414"
3043 "05973284973216824503042159",
3044 "1"
3045 },
3046 { /* between seventh and eighth iteration */
3047 "6456987954117763835533395796948878140715006860263624787492985786"
3048 "8514630216966738305923915688821526449499763719943997120302368211"
3049 "04813318117996225041943964",
3050 "1340780792994259709957402499820584612747936582059239337772356144"
3051 "3721764030073546976801874298166903427690031858186486050853753882"
3052 "811946551499689575296532556",
3053 "1340780792994259709957402499820584612747936582059239337772356144"
3054 "3721764030073546976801874298166903427690031858186486050853753882"
3055 "811946551499689575296532557",
3056 "1"
3057 }
3058};
3059
3060static int test_mod_exp(int i)
3061{
3062 const MOD_EXP_TEST *test = &ModExpTests[i];
3063 int res = 0;
3064 BIGNUM* result = NULL;
3065 BIGNUM *base = NULL, *exponent = NULL, *modulo = NULL;
3066 char *s = NULL;
3067
3068 if (!TEST_ptr(result = BN_new())
3069 || !TEST_true(BN_dec2bn(&base, test->base))
3070 || !TEST_true(BN_dec2bn(&exponent, test->exp))
3071 || !TEST_true(BN_dec2bn(&modulo, test->mod)))
3072 goto err;
3073
3074 if (!TEST_int_eq(BN_mod_exp(result, base, exponent, modulo, ctx), 1))
3075 goto err;
3076
3077 if (!TEST_ptr(s = BN_bn2dec(result)))
3078 goto err;
3079
3080 if (!TEST_mem_eq(s, strlen(s), test->res, strlen(test->res)))
3081 goto err;
3082
3083 res = 1;
3084
3085 err:
3086 OPENSSL_free(s);
3087 BN_free(result);
3088 BN_free(base);
3089 BN_free(exponent);
3090 BN_free(modulo);
3091 return res;
3092}
3093
3094static int test_mod_exp_consttime(int i)
3095{
3096 const MOD_EXP_TEST *test = &ModExpTests[i];
3097 int res = 0;
3098 BIGNUM* result = NULL;
3099 BIGNUM *base = NULL, *exponent = NULL, *modulo = NULL;
3100 char *s = NULL;
3101
3102 if (!TEST_ptr(result = BN_new())
3103 || !TEST_true(BN_dec2bn(&base, test->base))
3104 || !TEST_true(BN_dec2bn(&exponent, test->exp))
3105 || !TEST_true(BN_dec2bn(&modulo, test->mod)))
3106 goto err;
3107
3108 BN_set_flags(base, BN_FLG_CONSTTIME);
3109 BN_set_flags(exponent, BN_FLG_CONSTTIME);
3110 BN_set_flags(modulo, BN_FLG_CONSTTIME);
3111
3112 if (!TEST_int_eq(BN_mod_exp(result, base, exponent, modulo, ctx), 1))
3113 goto err;
3114
3115 if (!TEST_ptr(s = BN_bn2dec(result)))
3116 goto err;
3117
3118 if (!TEST_mem_eq(s, strlen(s), test->res, strlen(test->res)))
3119 goto err;
3120
3121 res = 1;
3122
3123 err:
3124 OPENSSL_free(s);
3125 BN_free(result);
3126 BN_free(base);
3127 BN_free(exponent);
3128 BN_free(modulo);
3129 return res;
3130}
3131
3132/*
3133 * Regression test to ensure BN_mod_exp2_mont fails safely if argument m is
3134 * zero.
3135 */
3136static int test_mod_exp2_mont(void)
3137{
3138 int res = 0;
3139 BIGNUM *exp_result = NULL;
3140 BIGNUM *exp_a1 = NULL, *exp_p1 = NULL, *exp_a2 = NULL, *exp_p2 = NULL,
3141 *exp_m = NULL;
3142
3143 if (!TEST_ptr(exp_result = BN_new())
3144 || !TEST_ptr(exp_a1 = BN_new())
3145 || !TEST_ptr(exp_p1 = BN_new())
3146 || !TEST_ptr(exp_a2 = BN_new())
3147 || !TEST_ptr(exp_p2 = BN_new())
3148 || !TEST_ptr(exp_m = BN_new()))
3149 goto err;
3150
3151 if (!TEST_true(BN_one(exp_a1))
3152 || !TEST_true(BN_one(exp_p1))
3153 || !TEST_true(BN_one(exp_a2))
3154 || !TEST_true(BN_one(exp_p2)))
3155 goto err;
3156
3157 BN_zero(exp_m);
3158
3159 /* input of 0 is even, so must fail */
3160 if (!TEST_int_eq(BN_mod_exp2_mont(exp_result, exp_a1, exp_p1, exp_a2,
3161 exp_p2, exp_m, ctx, NULL), 0))
3162 goto err;
3163
3164 res = 1;
3165
3166err:
3167 BN_free(exp_result);
3168 BN_free(exp_a1);
3169 BN_free(exp_p1);
3170 BN_free(exp_a2);
3171 BN_free(exp_p2);
3172 BN_free(exp_m);
3173 return res;
3174}
3175
3176static int test_mod_inverse(void)
3177{
3178 int res = 0;
3179 char *str = NULL;
3180 BIGNUM *a = NULL;
3181 BIGNUM *b = NULL;
3182 BIGNUM *r = NULL;
3183
3184 if (!TEST_true(BN_dec2bn(&a, "5193817943")))
3185 goto err;
3186 if (!TEST_true(BN_dec2bn(&b, "3259122431")))
3187 goto err;
3188 if (!TEST_ptr(r = BN_new()))
3189 goto err;
3190 if (!TEST_ptr_eq(BN_mod_inverse(r, a, b, ctx), r))
3191 goto err;
3192 if (!TEST_ptr_ne(str = BN_bn2dec(r), NULL))
3193 goto err;
3194 if (!TEST_int_eq(strcmp(str, "2609653924"), 0))
3195 goto err;
3196
3197 /* Note that this aliases the result with the modulus. */
3198 if (!TEST_ptr_null(BN_mod_inverse(b, a, b, ctx)))
3199 goto err;
3200
3201 res = 1;
3202
3203err:
3204 BN_free(a);
3205 BN_free(b);
3206 BN_free(r);
3207 OPENSSL_free(str);
3208 return res;
3209}
3210
3211static int test_mod_exp_alias(int idx)
3212{
3213 int res = 0;
3214 char *str = NULL;
3215 BIGNUM *a = NULL;
3216 BIGNUM *b = NULL;
3217 BIGNUM *c = NULL;
3218 BIGNUM *r = NULL;
3219
3220 if (!TEST_true(BN_dec2bn(&a, "15")))
3221 goto err;
3222 if (!TEST_true(BN_dec2bn(&b, "10")))
3223 goto err;
3224 if (!TEST_true(BN_dec2bn(&c, "39")))
3225 goto err;
3226 if (!TEST_ptr(r = BN_new()))
3227 goto err;
3228
3229 if (!TEST_int_eq((idx == 0 ? BN_mod_exp_simple
3230 : BN_mod_exp_recp)(r, a, b, c, ctx), 1))
3231 goto err;
3232 if (!TEST_ptr_ne(str = BN_bn2dec(r), NULL))
3233 goto err;
3234 if (!TEST_str_eq(str, "36"))
3235 goto err;
3236
3237 OPENSSL_free(str);
3238 str = NULL;
3239
3240 BN_copy(r, b);
3241
3242 /* Aliasing with exponent must work. */
3243 if (!TEST_int_eq((idx == 0 ? BN_mod_exp_simple
3244 : BN_mod_exp_recp)(r, a, r, c, ctx), 1))
3245 goto err;
3246 if (!TEST_ptr_ne(str = BN_bn2dec(r), NULL))
3247 goto err;
3248 if (!TEST_str_eq(str, "36"))
3249 goto err;
3250
3251 OPENSSL_free(str);
3252 str = NULL;
3253
3254 /* Aliasing with modulus should return failure for the simple call. */
3255 if (idx == 0) {
3256 if (!TEST_int_eq(BN_mod_exp_simple(c, a, b, c, ctx), 0))
3257 goto err;
3258 } else {
3259 if (!TEST_int_eq(BN_mod_exp_recp(c, a, b, c, ctx), 1))
3260 goto err;
3261 if (!TEST_ptr_ne(str = BN_bn2dec(c), NULL))
3262 goto err;
3263 if (!TEST_str_eq(str, "36"))
3264 goto err;
3265 }
3266
3267 res = 1;
3268
3269err:
3270 BN_free(a);
3271 BN_free(b);
3272 BN_free(c);
3273 BN_free(r);
3274 OPENSSL_free(str);
3275 return res;
3276}
3277
3278static int file_test_run(STANZA *s)
3279{
3280 static const FILETEST filetests[] = {
3281 {"Sum", file_sum},
3282 {"LShift1", file_lshift1},
3283 {"LShift", file_lshift},
3284 {"RShift", file_rshift},
3285 {"Square", file_square},
3286 {"Product", file_product},
3287 {"Quotient", file_quotient},
3288 {"ModMul", file_modmul},
3289 {"ModExp", file_modexp},
3290 {"Exp", file_exp},
3291 {"ModSqrt", file_modsqrt},
3292 {"GCD", file_gcd},
3293 };
3294 int numtests = OSSL_NELEM(filetests);
3295 const FILETEST *tp = filetests;
3296
3297 for ( ; --numtests >= 0; tp++) {
3298 if (findattr(s, tp->name) != NULL) {
3299 if (!tp->func(s)) {
3300 TEST_info("%s:%d: Failed %s test",
3301 s->test_file, s->start, tp->name);
3302 return 0;
3303 }
3304 return 1;
3305 }
3306 }
3307 TEST_info("%s:%d: Unknown test", s->test_file, s->start);
3308 return 0;
3309}
3310
3311static int run_file_tests(int i)
3312{
3313 STANZA *s = NULL;
3314 char *testfile = test_get_argument(i);
3315 int c;
3316
3317 if (!TEST_ptr(s = OPENSSL_zalloc(sizeof(*s))))
3318 return 0;
3319 if (!test_start_file(s, testfile)) {
3320 OPENSSL_free(s);
3321 return 0;
3322 }
3323
3324 /* Read test file. */
3325 while (!BIO_eof(s->fp) && test_readstanza(s)) {
3326 if (s->numpairs == 0)
3327 continue;
3328 if (!file_test_run(s))
3329 s->errors++;
3330 s->numtests++;
3331 test_clearstanza(s);
3332 }
3333 test_end_file(s);
3334 c = s->errors;
3335 OPENSSL_free(s);
3336
3337 return c == 0;
3338}
3339
3340typedef enum OPTION_choice {
3341 OPT_ERR = -1,
3342 OPT_EOF = 0,
3343 OPT_STOCHASTIC_TESTS,
3344 OPT_TEST_ENUM
3345} OPTION_CHOICE;
3346
3347const OPTIONS *test_get_options(void)
3348{
3349 static const OPTIONS test_options[] = {
3350 OPT_TEST_OPTIONS_WITH_EXTRA_USAGE("[file...]\n"),
3351 { "stochastic", OPT_STOCHASTIC_TESTS, '-', "Run stochastic tests" },
3352 { OPT_HELP_STR, 1, '-',
3353 "file\tFile to run tests on. Normal tests are not run\n" },
3354 { NULL }
3355 };
3356 return test_options;
3357}
3358
3359int setup_tests(void)
3360{
3361 OPTION_CHOICE o;
3362 int n, stochastic = 0;
3363
3364 while ((o = opt_next()) != OPT_EOF) {
3365 switch (o) {
3366 case OPT_STOCHASTIC_TESTS:
3367 stochastic = 1;
3368 break;
3369 case OPT_TEST_CASES:
3370 break;
3371 default:
3372 case OPT_ERR:
3373 return 0;
3374 }
3375 }
3376 n = test_get_argument_count();
3377
3378 if (!TEST_ptr(ctx = BN_CTX_new()))
3379 return 0;
3380
3381 if (n == 0) {
3382 ADD_TEST(test_sub);
3383 ADD_TEST(test_div_recip);
3384 ADD_ALL_TESTS(test_signed_mod_replace_ab, OSSL_NELEM(signed_mod_tests));
3385 ADD_ALL_TESTS(test_signed_mod_replace_ba, OSSL_NELEM(signed_mod_tests));
3386 ADD_TEST(test_mod);
3387 ADD_TEST(test_mod_inverse);
3388 ADD_ALL_TESTS(test_mod_exp_alias, 2);
3389 ADD_TEST(test_modexp_mont5);
3390 ADD_TEST(test_kronecker);
3391 ADD_TEST(test_rand);
3392 ADD_TEST(test_bn2padded);
3393 ADD_TEST(test_dec2bn);
3394 ADD_TEST(test_hex2bn);
3395 ADD_TEST(test_asc2bn);
3396 ADD_TEST(test_bin2zero);
3397 ADD_TEST(test_bin2bn_lengths);
3398 ADD_ALL_TESTS(test_mpi, (int)OSSL_NELEM(kMPITests));
3399 ADD_ALL_TESTS(test_bn2signed, (int)OSSL_NELEM(kSignedTests_BE));
3400 ADD_TEST(test_negzero);
3401 ADD_TEST(test_badmod);
3402 ADD_TEST(test_expmodzero);
3403 ADD_TEST(test_expmodone);
3404 ADD_ALL_TESTS(test_smallprime, 16);
3405 ADD_ALL_TESTS(test_smallsafeprime, 16);
3406 ADD_TEST(test_swap);
3407 ADD_TEST(test_ctx_consttime_flag);
3408#ifndef OPENSSL_NO_EC2M
3409 ADD_TEST(test_gf2m_add);
3410 ADD_TEST(test_gf2m_mod);
3411 ADD_TEST(test_gf2m_mul);
3412 ADD_TEST(test_gf2m_sqr);
3413 ADD_TEST(test_gf2m_modinv);
3414 ADD_TEST(test_gf2m_moddiv);
3415 ADD_TEST(test_gf2m_modexp);
3416 ADD_TEST(test_gf2m_modsqrt);
3417 ADD_TEST(test_gf2m_modsolvequad);
3418#endif
3419 ADD_ALL_TESTS(test_is_prime, (int)OSSL_NELEM(primes));
3420 ADD_ALL_TESTS(test_not_prime, (int)OSSL_NELEM(not_primes));
3421 ADD_TEST(test_gcd_prime);
3422 ADD_TEST(test_coprime);
3423 ADD_ALL_TESTS(test_mod_exp, (int)OSSL_NELEM(ModExpTests));
3424 ADD_ALL_TESTS(test_mod_exp_consttime, (int)OSSL_NELEM(ModExpTests));
3425 ADD_TEST(test_mod_exp2_mont);
3426 if (stochastic)
3427 ADD_TEST(test_rand_range);
3428 } else {
3429 ADD_ALL_TESTS(run_file_tests, n);
3430 }
3431 return 1;
3432}
3433
3434void cleanup_tests(void)
3435{
3436 BN_CTX_free(ctx);
3437}
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