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Add a test for SSL_CTX_new_with_libctx()
[thirdparty/openssl.git] / test / bntest.c
CommitLineData
440e5d80 1/*
fe16ae5f 2 * Copyright 1995-2019 The OpenSSL Project Authors. All Rights Reserved.
d02b48c6 3 *
909f1a2e 4 * Licensed under the Apache License 2.0 (the "License"). You may not use
440e5d80
RS		 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
d02b48c6 8 */
8d1ebff4
RS		 9#include <assert.h>
10#include <errno.h>
d02b48c6 11#include <stdio.h>
d02b48c6 12#include <string.h>
8d1ebff4 13#include <ctype.h>
17e3dd1c 14
ec577822 15#include <openssl/bn.h>
8d1ebff4 16#include <openssl/crypto.h>
ec577822 17#include <openssl/err.h>
8d1ebff4 18#include <openssl/rand.h>
2b1aa198
RL		 19#include "internal/nelem.h"
20#include "internal/numbers.h"
8d1ebff4 21#include "testutil.h"
d02b48c6 22
2b1aa198
RL		 23#ifdef OPENSSL_SYS_WINDOWS
24# define strcasecmp _stricmp
25#endif
8927c278 26
8d1ebff4
RS		 27/*
28 * Things in boring, not in openssl. TODO we should add them.
29 */
30#define HAVE_BN_PADDED 0
31#define HAVE_BN_SQRT 0
0f113f3e 32
8d1ebff4
RS		 33typedef struct filetest_st {
34 const char *name;
35 int (*func)(STANZA *s);
36} FILETEST;
0f113f3e 37
8d1ebff4
RS		 38typedef struct mpitest_st {
39 const char *base10;
40 const char *mpi;
41 size_t mpi_len;
42} MPITEST;
0f113f3e 43
8d1ebff4
RS		 44static const int NUM0 = 100; /* number of tests */
45static const int NUM1 = 50; /* additional tests for some functions */
8d1ebff4 46static BN_CTX *ctx;
0f113f3e 47
30bea14b
RS		 48/*
49 * Polynomial coefficients used in GFM tests.
50 */
ed5c7ea2 51#ifndef OPENSSL_NO_EC2M
30bea14b
RS		 52static int p0[] = { 163, 7, 6, 3, 0, -1 };
53static int p1[] = { 193, 15, 0, -1 };
ed5c7ea2 54#endif
0f113f3e 55
8d1ebff4
RS		 56/*
57 * Look for |key| in the stanza and return it or NULL if not found.
58 */
59static const char *findattr(STANZA *s, const char *key)
60{
61 int i = s->numpairs;
62 PAIR *pp = s->pairs;
0f113f3e 63
8d1ebff4
RS		 64 for ( ; --i >= 0; pp++)
65 if (strcasecmp(pp->key, key) == 0)
66 return pp->value;
67 return NULL;
68}
0f113f3e 69
4483fbae
F		 70/*
71 * Parse BIGNUM from sparse hex-strings, return |BN_hex2bn| result.
72 */
73static int parse_bigBN(BIGNUM **out, const char *bn_strings[])
74{
75 char *bigstring = glue_strings(bn_strings, NULL);
76 int ret = BN_hex2bn(out, bigstring);
77
78 OPENSSL_free(bigstring);
79 return ret;
80}
81
8d1ebff4
RS		 82/*
83 * Parse BIGNUM, return number of bytes parsed.
84 */
85static int parseBN(BIGNUM **out, const char *in)
86{
87 *out = NULL;
88 return BN_hex2bn(out, in);
89}
0f113f3e 90
8d1ebff4
RS		 91static int parsedecBN(BIGNUM **out, const char *in)
92{
93 *out = NULL;
94 return BN_dec2bn(out, in);
95}
96a4c31b 96
8d1ebff4
RS		 97static BIGNUM *getBN(STANZA *s, const char *attribute)
98{
99 const char *hex;
100 BIGNUM *ret = NULL;
8ff70f33 101
8d1ebff4 102 if ((hex = findattr(s, attribute)) == NULL) {
ae269dd8 103 TEST_error("%s:%d: Can't find %s", s->test_file, s->start, attribute);
8d1ebff4
RS		 104 return NULL;
105 }
0f113f3e 106
8d1ebff4 107 if (parseBN(&ret, hex) != (int)strlen(hex)) {
30bea14b 108 TEST_error("Could not decode '%s'", hex);
8d1ebff4
RS		 109 return NULL;
110 }
111 return ret;
112}
0f113f3e 113
8d1ebff4
RS		 114static int getint(STANZA *s, int *out, const char *attribute)
115{
30bea14b 116 BIGNUM *ret;
8d1ebff4
RS		 117 BN_ULONG word;
118 int st = 0;
0f113f3e 119
30bea14b
RS		 120 if (!TEST_ptr(ret = getBN(s, attribute))
121 || !TEST_ulong_le(word = BN_get_word(ret), INT_MAX))
0f113f3e 122 goto err;
0f113f3e 123
8d1ebff4
RS		 124 *out = (int)word;
125 st = 1;
fe16ae5f 126 err:
8d1ebff4
RS		 127 BN_free(ret);
128 return st;
129}
0f113f3e 130
8d1ebff4
RS		 131static int equalBN(const char *op, const BIGNUM *expected, const BIGNUM *actual)
132{
8d1ebff4
RS		 133 if (BN_cmp(expected, actual) == 0)
134 return 1;
0f113f3e 135
dc352c19
P		 136 TEST_error("unexpected %s value", op);
137 TEST_BN_eq(expected, actual);
8d1ebff4 138 return 0;
0f113f3e 139}
d02b48c6 140
8d1ebff4
RS		 141/*
142 * Return a "random" flag for if a BN should be negated.
143 */
144static int rand_neg(void)
145{
146 static unsigned int neg = 0;
147 static int sign[8] = { 0, 0, 0, 1, 1, 0, 1, 1 };
0f113f3e 148
8d1ebff4 149 return sign[(neg++) % 8];
0f113f3e 150}
d02b48c6 151
9e5b50b5
BB		 152static int test_swap(void)
153{
154 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
155 int top, cond, st = 0;
156
157 if (!TEST_ptr(a = BN_new())
158 || !TEST_ptr(b = BN_new())
159 || !TEST_ptr(c = BN_new())
160 || !TEST_ptr(d = BN_new()))
161 goto err;
162
e2f50811
SL		 163 if (!(TEST_true(BN_bntest_rand(a, 1024, 1, 0))
164 && TEST_true(BN_bntest_rand(b, 1024, 1, 0))
165 && TEST_ptr(BN_copy(c, a))
166 && TEST_ptr(BN_copy(d, b))))
167 goto err;
fe16ae5f 168 top = BN_num_bits(a) / BN_BITS2;
9e5b50b5
BB		 169
170 /* regular swap */
171 BN_swap(a, b);
172 if (!equalBN("swap", a, d)
173 || !equalBN("swap", b, c))
174 goto err;
175
176 /* conditional swap: true */
177 cond = 1;
178 BN_consttime_swap(cond, a, b, top);
179 if (!equalBN("cswap true", a, c)
180 || !equalBN("cswap true", b, d))
181 goto err;
182
183 /* conditional swap: false */
184 cond = 0;
185 BN_consttime_swap(cond, a, b, top);
186 if (!equalBN("cswap false", a, c)
187 || !equalBN("cswap false", b, d))
188 goto err;
189
190 /* same tests but checking flag swap */
191 BN_set_flags(a, BN_FLG_CONSTTIME);
192
193 BN_swap(a, b);
194 if (!equalBN("swap, flags", a, d)
195 || !equalBN("swap, flags", b, c)
196 || !TEST_true(BN_get_flags(b, BN_FLG_CONSTTIME))
197 || !TEST_false(BN_get_flags(a, BN_FLG_CONSTTIME)))
198 goto err;
199
200 cond = 1;
201 BN_consttime_swap(cond, a, b, top);
202 if (!equalBN("cswap true, flags", a, c)
203 || !equalBN("cswap true, flags", b, d)
204 || !TEST_true(BN_get_flags(a, BN_FLG_CONSTTIME))
205 || !TEST_false(BN_get_flags(b, BN_FLG_CONSTTIME)))
206 goto err;
207
208 cond = 0;
209 BN_consttime_swap(cond, a, b, top);
210 if (!equalBN("cswap false, flags", a, c)
211 || !equalBN("cswap false, flags", b, d)
212 || !TEST_true(BN_get_flags(a, BN_FLG_CONSTTIME))
213 || !TEST_false(BN_get_flags(b, BN_FLG_CONSTTIME)))
214 goto err;
215
216 st = 1;
217 err:
218 BN_free(a);
219 BN_free(b);
220 BN_free(c);
221 BN_free(d);
222 return st;
223}
224
31a80694 225static int test_sub(void)
0f113f3e 226{
30bea14b
RS		 227 BIGNUM *a = NULL, *b = NULL, *c = NULL;
228 int i, st = 0;
0f113f3e 229
30bea14b
RS		 230 if (!TEST_ptr(a = BN_new())
231 || !TEST_ptr(b = BN_new())
232 || !TEST_ptr(c = BN_new()))
233 goto err;
0f113f3e 234
8d1ebff4
RS		 235 for (i = 0; i < NUM0 + NUM1; i++) {
236 if (i < NUM1) {
e2f50811
SL		 237 if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0)))
238 && TEST_ptr(BN_copy(b, a))
239 && TEST_int_ne(BN_set_bit(a, i), 0)
240 && TEST_true(BN_add_word(b, i)))
30bea14b 241 goto err;
0f113f3e 242 } else {
e2f50811
SL		 243 if (!TEST_true(BN_bntest_rand(b, 400 + i - NUM1, 0, 0)))
244 goto err;
2b1aa198
RL		 245 BN_set_negative(a, rand_neg());
246 BN_set_negative(b, rand_neg());
0f113f3e 247 }
e2f50811
SL		 248 if (!(TEST_true(BN_sub(c, a, b))
249 && TEST_true(BN_add(c, c, b))
250 && TEST_true(BN_sub(c, c, a))
251 && TEST_BN_eq_zero(c)))
30bea14b 252 goto err;
0f113f3e 253 }
30bea14b 254 st = 1;
fe16ae5f 255 err:
0f113f3e
MC		 256 BN_free(a);
257 BN_free(b);
258 BN_free(c);
30bea14b 259 return st;
0f113f3e 260}
8169dd73 261
31a80694 262static int test_div_recip(void)
0f113f3e 263{
30bea14b
RS		 264 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;
265 BN_RECP_CTX *recp = NULL;
266 int st = 0, i;
0f113f3e 267
30bea14b
RS		 268 if (!TEST_ptr(a = BN_new())
269 || !TEST_ptr(b = BN_new())
270 || !TEST_ptr(c = BN_new())
271 || !TEST_ptr(d = BN_new())
272 || !TEST_ptr(e = BN_new())
273 || !TEST_ptr(recp = BN_RECP_CTX_new()))
274 goto err;
0f113f3e 275
8d1ebff4
RS		 276 for (i = 0; i < NUM0 + NUM1; i++) {
277 if (i < NUM1) {
e2f50811
SL		 278 if (!(TEST_true(BN_bntest_rand(a, 400, 0, 0))
279 && TEST_ptr(BN_copy(b, a))
280 && TEST_true(BN_lshift(a, a, i))
281 && TEST_true(BN_add_word(a, i))))
282 goto err;
283 } else {
284 if (!(TEST_true(BN_bntest_rand(b, 50 + 3 * (i - NUM1), 0, 0))))
285 goto err;
286 }
2b1aa198
RL		 287 BN_set_negative(a, rand_neg());
288 BN_set_negative(b, rand_neg());
e2f50811
SL		 289 if (!(TEST_true(BN_RECP_CTX_set(recp, b, ctx))
290 && TEST_true(BN_div_recp(d, c, a, recp, ctx))
291 && TEST_true(BN_mul(e, d, b, ctx))
292 && TEST_true(BN_add(d, e, c))
293 && TEST_true(BN_sub(d, d, a))
294 && TEST_BN_eq_zero(d)))
30bea14b 295 goto err;
0f113f3e 296 }
30bea14b 297 st = 1;
fe16ae5f 298 err:
0f113f3e
MC		 299 BN_free(a);
300 BN_free(b);
301 BN_free(c);
302 BN_free(d);
303 BN_free(e);
304 BN_RECP_CTX_free(recp);
30bea14b 305 return st;
0f113f3e 306}
d02b48c6 307
31a80694 308static int test_mod(void)
0f113f3e 309{
30bea14b
RS		 310 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;
311 int st = 0, i;
0f113f3e 312
30bea14b
RS		 313 if (!TEST_ptr(a = BN_new())
314 || !TEST_ptr(b = BN_new())
315 || !TEST_ptr(c = BN_new())
316 || !TEST_ptr(d = BN_new())
317 || !TEST_ptr(e = BN_new()))
318 goto err;
0f113f3e 319
e2f50811
SL		 320 if (!(TEST_true(BN_bntest_rand(a, 1024, 0, 0))))
321 goto err;
8d1ebff4 322 for (i = 0; i < NUM0; i++) {
e2f50811
SL		 323 if (!(TEST_true(BN_bntest_rand(b, 450 + i * 10, 0, 0))))
324 goto err;
2b1aa198
RL		 325 BN_set_negative(a, rand_neg());
326 BN_set_negative(b, rand_neg());
e2f50811
SL		 327 if (!(TEST_true(BN_mod(c, a, b, ctx))
328 && TEST_true(BN_div(d, e, a, b, ctx))
329 && TEST_true(BN_sub(e, e, c))
330 && TEST_BN_eq_zero(e)))
30bea14b 331 goto err;
0f113f3e 332 }
30bea14b 333 st = 1;
fe16ae5f 334 err:
0f113f3e
MC		 335 BN_free(a);
336 BN_free(b);
337 BN_free(c);
338 BN_free(d);
339 BN_free(e);
30bea14b 340 return st;
0f113f3e 341}
d02b48c6 342
26a39fa9
RS		 343static const char *bn1strings[] = {
344 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
345 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
346 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
347 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
348 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
349 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
350 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
351 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000FFFFFFFF00",
352 "0000000000000000000000000000000000000000000000000000000000000000",
353 "0000000000000000000000000000000000000000000000000000000000000000",
354 "0000000000000000000000000000000000000000000000000000000000000000",
355 "0000000000000000000000000000000000000000000000000000000000000000",
356 "0000000000000000000000000000000000000000000000000000000000000000",
357 "0000000000000000000000000000000000000000000000000000000000000000",
358 "0000000000000000000000000000000000000000000000000000000000000000",
359 "00000000000000000000000000000000000000000000000000FFFFFFFFFFFFFF",
360 NULL
361};
362
363static const char *bn2strings[] = {
364 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
365 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
366 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
367 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
368 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
369 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
370 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
371 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000FFFFFFFF0000000000",
372 "0000000000000000000000000000000000000000000000000000000000000000",
373 "0000000000000000000000000000000000000000000000000000000000000000",
374 "0000000000000000000000000000000000000000000000000000000000000000",
375 "0000000000000000000000000000000000000000000000000000000000000000",
376 "0000000000000000000000000000000000000000000000000000000000000000",
377 "0000000000000000000000000000000000000000000000000000000000000000",
378 "0000000000000000000000000000000000000000000000000000000000000000",
379 "000000000000000000000000000000000000000000FFFFFFFFFFFFFF00000000",
380 NULL
381};
382
8d1ebff4
RS		 383/*
384 * Test constant-time modular exponentiation with 1024-bit inputs, which on
385 * x86_64 cause a different code branch to be taken.
386 */
31a80694 387static int test_modexp_mont5(void)
0f113f3e 388{
30bea14b
RS		 389 BIGNUM *a = NULL, *p = NULL, *m = NULL, *d = NULL, *e = NULL;
390 BIGNUM *b = NULL, *n = NULL, *c = NULL;
391 BN_MONT_CTX *mont = NULL;
30bea14b 392 int st = 0;
0f113f3e 393
30bea14b
RS		 394 if (!TEST_ptr(a = BN_new())
395 || !TEST_ptr(p = BN_new())
396 || !TEST_ptr(m = BN_new())
397 || !TEST_ptr(d = BN_new())
398 || !TEST_ptr(e = BN_new())
399 || !TEST_ptr(b = BN_new())
400 || !TEST_ptr(n = BN_new())
401 || !TEST_ptr(c = BN_new())
402 || !TEST_ptr(mont = BN_MONT_CTX_new()))
403 goto err;
0f113f3e 404
e2f50811
SL		 405 /* must be odd for montgomery */
406 if (!(TEST_true(BN_bntest_rand(m, 1024, 0, 1))
407 /* Zero exponent */
408 && TEST_true(BN_bntest_rand(a, 1024, 0, 0))))
409 goto err;
8d1ebff4 410 BN_zero(p);
e2f50811 411
30bea14b
RS		 412 if (!TEST_true(BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL)))
413 goto err;
dc352c19 414 if (!TEST_BN_eq_one(d))
30bea14b 415 goto err;
0f113f3e 416
8d1ebff4 417 /* Regression test for carry bug in mulx4x_mont */
e2f50811 418 if (!(TEST_true(BN_hex2bn(&a,
8d1ebff4
RS		 419 "7878787878787878787878787878787878787878787878787878787878787878"
420 "7878787878787878787878787878787878787878787878787878787878787878"
421 "7878787878787878787878787878787878787878787878787878787878787878"
e2f50811
SL		 422 "7878787878787878787878787878787878787878787878787878787878787878"))
423 && TEST_true(BN_hex2bn(&b,
8d1ebff4
RS		 424 "095D72C08C097BA488C5E439C655A192EAFB6380073D8C2664668EDDB4060744"
425 "E16E57FB4EDB9AE10A0CEFCDC28A894F689A128379DB279D48A2E20849D68593"
426 "9B7803BCF46CEBF5C533FB0DD35B080593DE5472E3FE5DB951B8BFF9B4CB8F03"
e2f50811
SL		 427 "9CC638A5EE8CDD703719F8000E6A9F63BEED5F2FCD52FF293EA05A251BB4AB81"))
428 && TEST_true(BN_hex2bn(&n,
8d1ebff4
RS		 429 "D78AF684E71DB0C39CFF4E64FB9DB567132CB9C50CC98009FEB820B26F2DED9B"
430 "91B9B5E2B83AE0AE4EB4E0523CA726BFBE969B89FD754F674CE99118C3F2D1C5"
431 "D81FDC7C54E02B60262B241D53C040E99E45826ECA37A804668E690E1AFC1CA4"
e2f50811
SL		 432 "2C9A15D84D4954425F0B7642FC0BD9D7B24E2618D2DCC9B729D944BADACFDDAF"))))
433 goto err;
434
435 if (!(TEST_true(BN_MONT_CTX_set(mont, n, ctx))
436 && TEST_true(BN_mod_mul_montgomery(c, a, b, mont, ctx))
437 && TEST_true(BN_mod_mul_montgomery(d, b, a, mont, ctx))
438 && TEST_BN_eq(c, d)))
30bea14b 439 goto err;
0f113f3e 440
3e7a4963 441 /* Regression test for carry bug in sqr[x]8x_mont */
e2f50811
SL		 442 if (!(TEST_true(parse_bigBN(&n, bn1strings))
443 && TEST_true(parse_bigBN(&a, bn2strings))))
444 goto err;
26a39fa9 445 BN_free(b);
e2f50811
SL		 446 if (!(TEST_ptr(b = BN_dup(a))
447 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))
448 && TEST_true(BN_mod_mul_montgomery(c, a, a, mont, ctx))
449 && TEST_true(BN_mod_mul_montgomery(d, a, b, mont, ctx))
450 && TEST_BN_eq(c, d)))
30bea14b 451 goto err;
3e7a4963 452
420b88ce
AP		 453 /* Regression test for carry bug in bn_sqrx8x_internal */
454 {
455 static const char *ahex[] = {
456 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
457 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
458 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
459 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
460 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF8FFEADBCFC4DAE7FFF908E92820306B",
461 "9544D954000000006C0000000000000000000000000000000000000000000000",
462 "00000000000000000000FF030202FFFFF8FFEBDBCFC4DAE7FFF908E92820306B",
463 "9544D954000000006C000000FF0302030000000000FFFFFFFFFFFFFFFFFFFFFF",
464 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF01FC00FF02FFFFFFFF",
465 "00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00FCFD",
466 "FCFFFFFFFFFF000000000000000000FF0302030000000000FFFFFFFFFFFFFFFF",
467 "FF00FCFDFDFF030202FF00000000FFFFFFFFFFFFFFFFFF00FCFDFCFFFFFFFFFF",
468 NULL
4483fbae 469 };
420b88ce
AP		 470 static const char *nhex[] = {
471 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
472 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
473 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
474 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
475 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF8F8F8F8000000",
476 "00000010000000006C0000000000000000000000000000000000000000000000",
477 "00000000000000000000000000000000000000FFFFFFFFFFFFF8F8F8F8000000",
478 "00000010000000006C000000000000000000000000FFFFFFFFFFFFFFFFFFFFFF",
479 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
480 "00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
481 "FFFFFFFFFFFF000000000000000000000000000000000000FFFFFFFFFFFFFFFF",
482 "FFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",
483 NULL
4483fbae
F		 484 };
485
e2f50811
SL		 486 if (!(TEST_true(parse_bigBN(&a, ahex))
487 && TEST_true(parse_bigBN(&n, nhex))))
488 goto err;
420b88ce
AP		 489 }
490 BN_free(b);
e2f50811
SL		 491 if (!(TEST_ptr(b = BN_dup(a))
492 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))))
493 goto err;
494
f91e026e
BE		 495 if (!TEST_true(BN_mod_mul_montgomery(c, a, a, mont, ctx))
496 || !TEST_true(BN_mod_mul_montgomery(d, a, b, mont, ctx))
497 || !TEST_BN_eq(c, d))
498 goto err;
499
500 /* Regression test for bug in BN_from_montgomery_word */
e2f50811 501 if (!(TEST_true(BN_hex2bn(&a,
f91e026e
BE		 502 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
503 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
e2f50811
SL		 504 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
505 && TEST_true(BN_hex2bn(&n,
f91e026e 506 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
e2f50811
SL		 507 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
508 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))
509 && TEST_false(BN_mod_mul_montgomery(d, a, a, mont, ctx))))
420b88ce
AP		 510 goto err;
511
77d75993 512 /* Regression test for bug in rsaz_1024_mul_avx2 */
e2f50811 513 if (!(TEST_true(BN_hex2bn(&a,
77d75993
AP		 514 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
515 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
516 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
e2f50811
SL		 517 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"))
518 && TEST_true(BN_hex2bn(&b,
77d75993
AP		 519 "2020202020202020202020202020202020202020202020202020202020202020"
520 "2020202020202020202020202020202020202020202020202020202020202020"
521 "20202020202020FF202020202020202020202020202020202020202020202020"
e2f50811
SL		 522 "2020202020202020202020202020202020202020202020202020202020202020"))
523 && TEST_true(BN_hex2bn(&n,
77d75993
AP		 524 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
525 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
526 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
e2f50811
SL		 527 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020FF"))
528 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))
529 && TEST_true(BN_mod_exp_mont_consttime(c, a, b, n, ctx, mont))
530 && TEST_true(BN_mod_exp_mont(d, a, b, n, ctx, mont))
531 && TEST_BN_eq(c, d)))
77d75993
AP		 532 goto err;
533
3afd537a
DB		 534 /*
535 * rsaz_1024_mul_avx2 expects fully-reduced inputs.
536 * BN_mod_exp_mont_consttime should reduce the input first.
537 */
e2f50811 538 if (!(TEST_true(BN_hex2bn(&a,
3afd537a
DB		 539 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
540 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
541 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
e2f50811
SL		 542 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"))
543 && TEST_true(BN_hex2bn(&b,
3afd537a
DB		 544 "1FA53F26F8811C58BE0357897AA5E165693230BC9DF5F01DFA6A2D59229EC69D"
545 "9DE6A89C36E3B6957B22D6FAAD5A3C73AE587B710DBE92E83D3A9A3339A085CB"
546 "B58F508CA4F837924BB52CC1698B7FDC2FD74362456A595A5B58E38E38E38E38"
e2f50811
SL		 547 "E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E"))
548 && TEST_true(BN_hex2bn(&n,
3afd537a
DB		 549 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
550 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
551 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
e2f50811
SL		 552 "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2020202020DF"))
553 && TEST_true(BN_MONT_CTX_set(mont, n, ctx))
554 && TEST_true(BN_mod_exp_mont_consttime(c, a, b, n, ctx, mont))))
555 goto err;
3afd537a
DB		 556 BN_zero(d);
557 if (!TEST_BN_eq(c, d))
558 goto err;
559
8d1ebff4 560 /* Zero input */
e2f50811
SL		 561 if (!TEST_true(BN_bntest_rand(p, 1024, 0, 0)))
562 goto err;
8d1ebff4 563 BN_zero(a);
30bea14b 564 if (!TEST_true(BN_mod_exp_mont_consttime(d, a, p, m, ctx, NULL))
dc352c19 565 || !TEST_BN_eq_zero(d))
30bea14b
RS		 566 goto err;
567
8d1ebff4
RS		 568 /*
569 * Craft an input whose Montgomery representation is 1, i.e., shorter
570 * than the modulus m, in order to test the const time precomputation
571 * scattering/gathering.
572 */
e2f50811
SL		 573 if (!(TEST_true(BN_one(a))
574 && TEST_true(BN_MONT_CTX_set(mont, m, ctx))))
575 goto err;
30bea14b
RS		 576 if (!TEST_true(BN_from_montgomery(e, a, mont, ctx))
577 || !TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
578 || !TEST_true(BN_mod_exp_simple(a, e, p, m, ctx))
dc352c19 579 || !TEST_BN_eq(a, d))
30bea14b
RS		 580 goto err;
581
8d1ebff4 582 /* Finally, some regular test vectors. */
e2f50811
SL		 583 if (!(TEST_true(BN_bntest_rand(e, 1024, 0, 0))
584 && TEST_true(BN_mod_exp_mont_consttime(d, e, p, m, ctx, NULL))
585 && TEST_true(BN_mod_exp_simple(a, e, p, m, ctx))
586 && TEST_BN_eq(a, d)))
30bea14b
RS		 587 goto err;
588
589 st = 1;
590
fe16ae5f 591 err:
0f113f3e
MC		 592 BN_MONT_CTX_free(mont);
593 BN_free(a);
8d1ebff4
RS		 594 BN_free(p);
595 BN_free(m);
0f113f3e 596 BN_free(d);
8d1ebff4
RS		 597 BN_free(e);
598 BN_free(b);
0f113f3e 599 BN_free(n);
8d1ebff4 600 BN_free(c);
30bea14b 601 return st;
0f113f3e 602}
d02b48c6 603
8d1ebff4 604#ifndef OPENSSL_NO_EC2M
31a80694 605static int test_gf2m_add(void)
0f113f3e 606{
30bea14b 607 BIGNUM *a = NULL, *b = NULL, *c = NULL;
8d1ebff4 608 int i, st = 0;
0f113f3e 609
30bea14b
RS		 610 if (!TEST_ptr(a = BN_new())
611 || !TEST_ptr(b = BN_new())
612 || !TEST_ptr(c = BN_new()))
613 goto err;
0f113f3e 614
8d1ebff4 615 for (i = 0; i < NUM0; i++) {
e2f50811
SL		 616 if (!(TEST_true(BN_rand(a, 512, 0, 0))
617 && TEST_ptr(BN_copy(b, BN_value_one()))))
618 goto err;
2b1aa198
RL		 619 BN_set_negative(a, rand_neg());
620 BN_set_negative(b, rand_neg());
e2f50811
SL		 621 if (!(TEST_true(BN_GF2m_add(c, a, b))
622 /* Test that two added values have the correct parity. */
623 && TEST_false((BN_is_odd(a) && BN_is_odd(c))
624 || (!BN_is_odd(a) && !BN_is_odd(c)))))
8d1ebff4 625 goto err;
e2f50811
SL		 626 if (!(TEST_true(BN_GF2m_add(c, c, c))
627 /* Test that c + c = 0. */
628 && TEST_BN_eq_zero(c)))
8d1ebff4 629 goto err;
0f113f3e 630 }
8d1ebff4
RS		 631 st = 1;
632 err:
0f113f3e
MC		 633 BN_free(a);
634 BN_free(b);
635 BN_free(c);
8d1ebff4 636 return st;
0f113f3e 637}
d02b48c6 638
31a80694 639static int test_gf2m_mod(void)
0f113f3e 640{
30bea14b 641 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL, *e = NULL;
8d1ebff4 642 int i, j, st = 0;
0f113f3e 643
30bea14b
RS		 644 if (!TEST_ptr(a = BN_new())
645 || !TEST_ptr(b[0] = BN_new())
646 || !TEST_ptr(b[1] = BN_new())
647 || !TEST_ptr(c = BN_new())
648 || !TEST_ptr(d = BN_new())
649 || !TEST_ptr(e = BN_new()))
650 goto err;
0f113f3e 651
e2f50811
SL		 652 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
653 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
654 goto err;
0f113f3e 655
8d1ebff4 656 for (i = 0; i < NUM0; i++) {
e2f50811
SL		 657 if (!TEST_true(BN_bntest_rand(a, 1024, 0, 0)))
658 goto err;
8d1ebff4 659 for (j = 0; j < 2; j++) {
e2f50811
SL		 660 if (!(TEST_true(BN_GF2m_mod(c, a, b[j]))
661 && TEST_true(BN_GF2m_add(d, a, c))
662 && TEST_true(BN_GF2m_mod(e, d, b[j]))
663 /* Test that a + (a mod p) mod p == 0. */
664 && TEST_BN_eq_zero(e)))
8d1ebff4 665 goto err;
0f113f3e
MC		 666 }
667 }
8d1ebff4
RS		 668 st = 1;
669 err:
0f113f3e 670 BN_free(a);
8d1ebff4
RS		 671 BN_free(b[0]);
672 BN_free(b[1]);
0f113f3e
MC		 673 BN_free(c);
674 BN_free(d);
675 BN_free(e);
8d1ebff4 676 return st;
0f113f3e 677}
d02b48c6 678
31a80694 679static int test_gf2m_mul(void)
0f113f3e 680{
30bea14b
RS		 681 BIGNUM *a, *b[2] = {NULL, NULL}, *c = NULL, *d = NULL;
682 BIGNUM *e = NULL, *f = NULL, *g = NULL, *h = NULL;
8d1ebff4 683 int i, j, st = 0;
30bea14b
RS		 684
685 if (!TEST_ptr(a = BN_new())
686 || !TEST_ptr(b[0] = BN_new())
687 || !TEST_ptr(b[1] = BN_new())
688 || !TEST_ptr(c = BN_new())
689 || !TEST_ptr(d = BN_new())
690 || !TEST_ptr(e = BN_new())
691 || !TEST_ptr(f = BN_new())
692 || !TEST_ptr(g = BN_new())
693 || !TEST_ptr(h = BN_new()))
694 goto err;
0f113f3e 695
e2f50811
SL		 696 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
697 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
698 goto err;
0f113f3e 699
8d1ebff4 700 for (i = 0; i < NUM0; i++) {
e2f50811
SL		 701 if (!(TEST_true(BN_bntest_rand(a, 1024, 0, 0))
702 && TEST_true(BN_bntest_rand(c, 1024, 0, 0))
703 && TEST_true(BN_bntest_rand(d, 1024, 0, 0))))
704 goto err;
8d1ebff4 705 for (j = 0; j < 2; j++) {
e2f50811
SL		 706 if (!(TEST_true(BN_GF2m_mod_mul(e, a, c, b[j], ctx))
707 && TEST_true(BN_GF2m_add(f, a, d))
708 && TEST_true(BN_GF2m_mod_mul(g, f, c, b[j], ctx))
709 && TEST_true(BN_GF2m_mod_mul(h, d, c, b[j], ctx))
710 && TEST_true(BN_GF2m_add(f, e, g))
711 && TEST_true(BN_GF2m_add(f, f, h))
712 /* Test that (a+d)*c = a*c + d*c. */
713 && TEST_BN_eq_zero(f)))
8d1ebff4 714 goto err;
0f113f3e 715 }
29851264 716 }
8d1ebff4 717 st = 1;
30bea14b 718
8d1ebff4 719 err:
0f113f3e 720 BN_free(a);
8d1ebff4
RS		 721 BN_free(b[0]);
722 BN_free(b[1]);
0f113f3e
MC		 723 BN_free(c);
724 BN_free(d);
725 BN_free(e);
8d1ebff4
RS		 726 BN_free(f);
727 BN_free(g);
728 BN_free(h);
729 return st;
0f113f3e 730}
d02b48c6 731
31a80694 732static int test_gf2m_sqr(void)
0f113f3e 733{
30bea14b 734 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
8d1ebff4 735 int i, j, st = 0;
0f113f3e 736
30bea14b
RS		 737 if (!TEST_ptr(a = BN_new())
738 || !TEST_ptr(b[0] = BN_new())
739 || !TEST_ptr(b[1] = BN_new())
740 || !TEST_ptr(c = BN_new())
741 || !TEST_ptr(d = BN_new()))
742 goto err;
a9009e51 743
e2f50811
SL		 744 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
745 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
746 goto err;
0f113f3e 747
8d1ebff4 748 for (i = 0; i < NUM0; i++) {
e2f50811
SL		 749 if (!TEST_true(BN_bntest_rand(a, 1024, 0, 0)))
750 goto err;
8d1ebff4 751 for (j = 0; j < 2; j++) {
e2f50811
SL		 752 if (!(TEST_true(BN_GF2m_mod_sqr(c, a, b[j], ctx))
753 && TEST_true(BN_copy(d, a))
754 && TEST_true(BN_GF2m_mod_mul(d, a, d, b[j], ctx))
755 && TEST_true(BN_GF2m_add(d, c, d))
756 /* Test that a*a = a^2. */
757 && TEST_BN_eq_zero(d)))
8d1ebff4 758 goto err;
0f113f3e
MC		 759 }
760 }
8d1ebff4
RS		 761 st = 1;
762 err:
0f113f3e 763 BN_free(a);
8d1ebff4
RS		 764 BN_free(b[0]);
765 BN_free(b[1]);
0f113f3e
MC		 766 BN_free(c);
767 BN_free(d);
8d1ebff4 768 return st;
0f113f3e
MC		 769}
770
31a80694 771static int test_gf2m_modinv(void)
0f113f3e 772{
30bea14b 773 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
8d1ebff4 774 int i, j, st = 0;
0f113f3e 775
30bea14b
RS		 776 if (!TEST_ptr(a = BN_new())
777 || !TEST_ptr(b[0] = BN_new())
778 || !TEST_ptr(b[1] = BN_new())
779 || !TEST_ptr(c = BN_new())
780 || !TEST_ptr(d = BN_new()))
781 goto err;
0f113f3e 782
e2f50811
SL		 783 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
784 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
785 goto err;
0f113f3e 786
8d1ebff4 787 for (i = 0; i < NUM0; i++) {
e2f50811
SL		 788 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
789 goto err;
0f113f3e 790 for (j = 0; j < 2; j++) {
e2f50811
SL		 791 if (!(TEST_true(BN_GF2m_mod_inv(c, a, b[j], ctx))
792 && TEST_true(BN_GF2m_mod_mul(d, a, c, b[j], ctx))
793 /* Test that ((1/a)*a) = 1. */
794 && TEST_BN_eq_one(d)))
0f113f3e 795 goto err;
0f113f3e
MC		 796 }
797 }
8d1ebff4 798 st = 1;
0f113f3e
MC		 799 err:
800 BN_free(a);
801 BN_free(b[0]);
802 BN_free(b[1]);
803 BN_free(c);
804 BN_free(d);
8d1ebff4 805 return st;
0f113f3e
MC		 806}
807
31a80694 808static int test_gf2m_moddiv(void)
0f113f3e 809{
30bea14b
RS		 810 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
811 BIGNUM *e = NULL, *f = NULL;
8d1ebff4 812 int i, j, st = 0;
0f113f3e 813
30bea14b
RS		 814 if (!TEST_ptr(a = BN_new())
815 || !TEST_ptr(b[0] = BN_new())
816 || !TEST_ptr(b[1] = BN_new())
817 || !TEST_ptr(c = BN_new())
818 || !TEST_ptr(d = BN_new())
819 || !TEST_ptr(e = BN_new())
820 || !TEST_ptr(f = BN_new()))
821 goto err;
0f113f3e 822
e2f50811
SL		 823 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
824 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
825 goto err;
0f113f3e 826
8d1ebff4 827 for (i = 0; i < NUM0; i++) {
e2f50811
SL		 828 if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0))
829 && TEST_true(BN_bntest_rand(c, 512, 0, 0))))
830 goto err;
0f113f3e 831 for (j = 0; j < 2; j++) {
e2f50811
SL		 832 if (!(TEST_true(BN_GF2m_mod_div(d, a, c, b[j], ctx))
833 && TEST_true(BN_GF2m_mod_mul(e, d, c, b[j], ctx))
834 && TEST_true(BN_GF2m_mod_div(f, a, e, b[j], ctx))
835 /* Test that ((a/c)*c)/a = 1. */
836 && TEST_BN_eq_one(f)))
0f113f3e 837 goto err;
0f113f3e
MC		 838 }
839 }
8d1ebff4 840 st = 1;
0f113f3e
MC		 841 err:
842 BN_free(a);
843 BN_free(b[0]);
844 BN_free(b[1]);
845 BN_free(c);
846 BN_free(d);
847 BN_free(e);
848 BN_free(f);
8d1ebff4 849 return st;
0f113f3e
MC		 850}
851
31a80694 852static int test_gf2m_modexp(void)
0f113f3e 853{
30bea14b
RS		 854 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
855 BIGNUM *e = NULL, *f = NULL;
8d1ebff4 856 int i, j, st = 0;
0f113f3e 857
30bea14b
RS		 858 if (!TEST_ptr(a = BN_new())
859 || !TEST_ptr(b[0] = BN_new())
860 || !TEST_ptr(b[1] = BN_new())
861 || !TEST_ptr(c = BN_new())
862 || !TEST_ptr(d = BN_new())
863 || !TEST_ptr(e = BN_new())
864 || !TEST_ptr(f = BN_new()))
865 goto err;
0f113f3e 866
e2f50811
SL		 867 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
868 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
869 goto err;
0f113f3e 870
8d1ebff4 871 for (i = 0; i < NUM0; i++) {
e2f50811
SL		 872 if (!(TEST_true(BN_bntest_rand(a, 512, 0, 0))
873 && TEST_true(BN_bntest_rand(c, 512, 0, 0))
874 && TEST_true(BN_bntest_rand(d, 512, 0, 0))))
875 goto err;
0f113f3e 876 for (j = 0; j < 2; j++) {
e2f50811
SL		 877 if (!(TEST_true(BN_GF2m_mod_exp(e, a, c, b[j], ctx))
878 && TEST_true(BN_GF2m_mod_exp(f, a, d, b[j], ctx))
879 && TEST_true(BN_GF2m_mod_mul(e, e, f, b[j], ctx))
880 && TEST_true(BN_add(f, c, d))
881 && TEST_true(BN_GF2m_mod_exp(f, a, f, b[j], ctx))
882 && TEST_true(BN_GF2m_add(f, e, f))
883 /* Test that a^(c+d)=a^c*a^d. */
884 && TEST_BN_eq_zero(f)))
0f113f3e 885 goto err;
0f113f3e
MC		 886 }
887 }
8d1ebff4 888 st = 1;
0f113f3e
MC		 889 err:
890 BN_free(a);
891 BN_free(b[0]);
892 BN_free(b[1]);
893 BN_free(c);
894 BN_free(d);
895 BN_free(e);
896 BN_free(f);
8d1ebff4 897 return st;
0f113f3e
MC		 898}
899
31a80694 900static int test_gf2m_modsqrt(void)
0f113f3e 901{
30bea14b
RS		 902 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
903 BIGNUM *e = NULL, *f = NULL;
8d1ebff4 904 int i, j, st = 0;
0f113f3e 905
30bea14b
RS		 906 if (!TEST_ptr(a = BN_new())
907 || !TEST_ptr(b[0] = BN_new())
908 || !TEST_ptr(b[1] = BN_new())
909 || !TEST_ptr(c = BN_new())
910 || !TEST_ptr(d = BN_new())
911 || !TEST_ptr(e = BN_new())
912 || !TEST_ptr(f = BN_new()))
913 goto err;
0f113f3e 914
e2f50811
SL		 915 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
916 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
917 goto err;
0f113f3e 918
8d1ebff4 919 for (i = 0; i < NUM0; i++) {
e2f50811
SL		 920 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
921 goto err;
922
0f113f3e 923 for (j = 0; j < 2; j++) {
e2f50811
SL		 924 if (!(TEST_true(BN_GF2m_mod(c, a, b[j]))
925 && TEST_true(BN_GF2m_mod_sqrt(d, a, b[j], ctx))
926 && TEST_true(BN_GF2m_mod_sqr(e, d, b[j], ctx))
927 && TEST_true(BN_GF2m_add(f, c, e))
928 /* Test that d^2 = a, where d = sqrt(a). */
929 && TEST_BN_eq_zero(f)))
0f113f3e 930 goto err;
0f113f3e
MC		 931 }
932 }
8d1ebff4 933 st = 1;
0f113f3e
MC		 934 err:
935 BN_free(a);
936 BN_free(b[0]);
937 BN_free(b[1]);
938 BN_free(c);
939 BN_free(d);
940 BN_free(e);
941 BN_free(f);
8d1ebff4 942 return st;
0f113f3e
MC		 943}
944
31a80694 945static int test_gf2m_modsolvequad(void)
0f113f3e 946{
30bea14b
RS		 947 BIGNUM *a = NULL, *b[2] = {NULL,NULL}, *c = NULL, *d = NULL;
948 BIGNUM *e = NULL;
8d1ebff4 949 int i, j, s = 0, t, st = 0;
0f113f3e 950
30bea14b
RS		 951 if (!TEST_ptr(a = BN_new())
952 || !TEST_ptr(b[0] = BN_new())
953 || !TEST_ptr(b[1] = BN_new())
954 || !TEST_ptr(c = BN_new())
955 || !TEST_ptr(d = BN_new())
956 || !TEST_ptr(e = BN_new()))
957 goto err;
0f113f3e 958
e2f50811
SL		 959 if (!(TEST_true(BN_GF2m_arr2poly(p0, b[0]))
960 && TEST_true(BN_GF2m_arr2poly(p1, b[1]))))
961 goto err;
0f113f3e 962
8d1ebff4 963 for (i = 0; i < NUM0; i++) {
e2f50811
SL		 964 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
965 goto err;
0f113f3e
MC		 966 for (j = 0; j < 2; j++) {
967 t = BN_GF2m_mod_solve_quad(c, a, b[j], ctx);
968 if (t) {
969 s++;
e2f50811
SL		 970 if (!(TEST_true(BN_GF2m_mod_sqr(d, c, b[j], ctx))
971 && TEST_true(BN_GF2m_add(d, c, d))
972 && TEST_true(BN_GF2m_mod(e, a, b[j]))
973 && TEST_true(BN_GF2m_add(e, e, d))
974 /*
975 * Test that solution of quadratic c
976 * satisfies c^2 + c = a.
977 */
978 && TEST_BN_eq_zero(e)))
0f113f3e 979 goto err;
0f113f3e
MC		 980 }
981 }
982 }
30bea14b
RS		 983 if (!TEST_int_ge(s, 0)) {
984 TEST_info("%d tests found no roots; probably an error", NUM0);
0f113f3e
MC		 985 goto err;
986 }
8d1ebff4 987 st = 1;
0f113f3e
MC		 988 err:
989 BN_free(a);
990 BN_free(b[0]);
991 BN_free(b[1]);
992 BN_free(c);
993 BN_free(d);
994 BN_free(e);
8d1ebff4 995 return st;
0f113f3e 996}
b3310161 997#endif
8d1ebff4 998
31a80694 999static int test_kronecker(void)
0f113f3e 1000{
30bea14b
RS		 1001 BIGNUM *a = NULL, *b = NULL, *r = NULL, *t = NULL;
1002 int i, legendre, kronecker, st = 0;
8d1ebff4 1003
30bea14b
RS		 1004 if (!TEST_ptr(a = BN_new())
1005 || !TEST_ptr(b = BN_new())
1006 || !TEST_ptr(r = BN_new())
1007 || !TEST_ptr(t = BN_new()))
8d1ebff4
RS		 1008 goto err;
1009
1010 /*
1011 * We test BN_kronecker(a, b, ctx) just for b odd (Jacobi symbol). In
1012 * this case we know that if b is prime, then BN_kronecker(a, b, ctx) is
1013 * congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol). So we
1014 * generate a random prime b and compare these values for a number of
1015 * random a's. (That is, we run the Solovay-Strassen primality test to
1016 * confirm that b is prime, except that we don't want to test whether b
1017 * is prime but whether BN_kronecker works.)
1018 */
1019
30bea14b 1020 if (!TEST_true(BN_generate_prime_ex(b, 512, 0, NULL, NULL, NULL)))
8d1ebff4 1021 goto err;
2b1aa198 1022 BN_set_negative(b, rand_neg());
8d1ebff4
RS		 1023
1024 for (i = 0; i < NUM0; i++) {
30bea14b 1025 if (!TEST_true(BN_bntest_rand(a, 512, 0, 0)))
8d1ebff4 1026 goto err;
2b1aa198 1027 BN_set_negative(a, rand_neg());
8d1ebff4
RS		 1028
1029 /* t := (|b|-1)/2 (note that b is odd) */
30bea14b 1030 if (!TEST_true(BN_copy(t, b)))
8d1ebff4 1031 goto err;
2b1aa198 1032 BN_set_negative(t, 0);
30bea14b 1033 if (!TEST_true(BN_sub_word(t, 1)))
8d1ebff4 1034 goto err;
30bea14b 1035 if (!TEST_true(BN_rshift1(t, t)))
8d1ebff4
RS		 1036 goto err;
1037 /* r := a^t mod b */
2b1aa198 1038 BN_set_negative(b, 0);
8d1ebff4 1039
30bea14b 1040 if (!TEST_true(BN_mod_exp_recp(r, a, t, b, ctx)))
8d1ebff4 1041 goto err;
2b1aa198 1042 BN_set_negative(b, 1);
8d1ebff4
RS		 1043
1044 if (BN_is_word(r, 1))
1045 legendre = 1;
1046 else if (BN_is_zero(r))
1047 legendre = 0;
1048 else {
30bea14b 1049 if (!TEST_true(BN_add_word(r, 1)))
8d1ebff4 1050 goto err;
30bea14b
RS		 1051 if (!TEST_int_eq(BN_ucmp(r, b), 0)) {
1052 TEST_info("Legendre symbol computation failed");
8d1ebff4
RS		 1053 goto err;
1054 }
1055 legendre = -1;
1056 }
1057
30bea14b 1058 if (!TEST_int_ge(kronecker = BN_kronecker(a, b, ctx), -1))
8d1ebff4
RS		 1059 goto err;
1060 /* we actually need BN_kronecker(a, |b|) */
2b1aa198 1061 if (BN_is_negative(a) && BN_is_negative(b))
8d1ebff4
RS		 1062 kronecker = -kronecker;
1063
30bea14b 1064 if (!TEST_int_eq(legendre, kronecker))
8d1ebff4 1065 goto err;
8d1ebff4
RS		 1066 }
1067
1068 st = 1;
1069 err:
1070 BN_free(a);
1071 BN_free(b);
1072 BN_free(r);
1073 BN_free(t);
1074 return st;
1075}
1076
1077static int file_sum(STANZA *s)
1078{
30bea14b 1079 BIGNUM *a = NULL, *b = NULL, *sum = NULL, *ret = NULL;
8d1ebff4
RS		 1080 BN_ULONG b_word;
1081 int st = 0;
1082
30bea14b
RS		 1083 if (!TEST_ptr(a = getBN(s, "A"))
1084 || !TEST_ptr(b = getBN(s, "B"))
1085 || !TEST_ptr(sum = getBN(s, "Sum"))
1086 || !TEST_ptr(ret = BN_new()))
8d1ebff4
RS		 1087 goto err;
1088
30bea14b 1089 if (!TEST_true(BN_add(ret, a, b))
8d1ebff4 1090 || !equalBN("A + B", sum, ret)
30bea14b 1091 || !TEST_true(BN_sub(ret, sum, a))
8d1ebff4 1092 || !equalBN("Sum - A", b, ret)
30bea14b 1093 || !TEST_true(BN_sub(ret, sum, b))
8d1ebff4
RS		 1094 || !equalBN("Sum - B", a, ret))
1095 goto err;
1096
1097 /*
1098 * Test that the functions work when |r| and |a| point to the same BIGNUM,
1099 * or when |r| and |b| point to the same BIGNUM.
1100 * TODO: Test where all of |r|, |a|, and |b| point to the same BIGNUM.
1101 */
30bea14b
RS		 1102 if (!TEST_true(BN_copy(ret, a))
1103 || !TEST_true(BN_add(ret, ret, b))
8d1ebff4 1104 || !equalBN("A + B (r is a)", sum, ret)
30bea14b
RS		 1105 || !TEST_true(BN_copy(ret, b))
1106 || !TEST_true(BN_add(ret, a, ret))
8d1ebff4 1107 || !equalBN("A + B (r is b)", sum, ret)
30bea14b
RS		 1108 || !TEST_true(BN_copy(ret, sum))
1109 || !TEST_true(BN_sub(ret, ret, a))
8d1ebff4 1110 || !equalBN("Sum - A (r is a)", b, ret)
30bea14b
RS		 1111 || !TEST_true(BN_copy(ret, a))
1112 || !TEST_true(BN_sub(ret, sum, ret))
8d1ebff4 1113 || !equalBN("Sum - A (r is b)", b, ret)
30bea14b
RS		 1114 || !TEST_true(BN_copy(ret, sum))
1115 || !TEST_true(BN_sub(ret, ret, b))
8d1ebff4 1116 || !equalBN("Sum - B (r is a)", a, ret)
30bea14b
RS		 1117 || !TEST_true(BN_copy(ret, b))
1118 || !TEST_true(BN_sub(ret, sum, ret))
8d1ebff4
RS		 1119 || !equalBN("Sum - B (r is b)", a, ret))
1120 goto err;
1121
1122 /*
1123 * Test BN_uadd() and BN_usub() with the prerequisites they are
1124 * documented as having. Note that these functions are frequently used
1125 * when the prerequisites don't hold. In those cases, they are supposed
1126 * to work as if the prerequisite hold, but we don't test that yet.
1127 * TODO: test that.
1128 */
1129 if (!BN_is_negative(a) && !BN_is_negative(b) && BN_cmp(a, b) >= 0) {
30bea14b 1130 if (!TEST_true(BN_uadd(ret, a, b))
8d1ebff4 1131 || !equalBN("A +u B", sum, ret)
30bea14b 1132 || !TEST_true(BN_usub(ret, sum, a))
8d1ebff4 1133 || !equalBN("Sum -u A", b, ret)
30bea14b 1134 || !TEST_true(BN_usub(ret, sum, b))
8d1ebff4
RS		 1135 || !equalBN("Sum -u B", a, ret))
1136 goto err;
1137 /*
1138 * Test that the functions work when |r| and |a| point to the same
1139 * BIGNUM, or when |r| and |b| point to the same BIGNUM.
1140 * TODO: Test where all of |r|, |a|, and |b| point to the same BIGNUM.
1141 */
30bea14b
RS		 1142 if (!TEST_true(BN_copy(ret, a))
1143 || !TEST_true(BN_uadd(ret, ret, b))
8d1ebff4 1144 || !equalBN("A +u B (r is a)", sum, ret)
30bea14b
RS		 1145 || !TEST_true(BN_copy(ret, b))
1146 || !TEST_true(BN_uadd(ret, a, ret))
8d1ebff4 1147 || !equalBN("A +u B (r is b)", sum, ret)
30bea14b
RS		 1148 || !TEST_true(BN_copy(ret, sum))
1149 || !TEST_true(BN_usub(ret, ret, a))
8d1ebff4 1150 || !equalBN("Sum -u A (r is a)", b, ret)
30bea14b
RS		 1151 || !TEST_true(BN_copy(ret, a))
1152 || !TEST_true(BN_usub(ret, sum, ret))
8d1ebff4 1153 || !equalBN("Sum -u A (r is b)", b, ret)
30bea14b
RS		 1154 || !TEST_true(BN_copy(ret, sum))
1155 || !TEST_true(BN_usub(ret, ret, b))
8d1ebff4 1156 || !equalBN("Sum -u B (r is a)", a, ret)
30bea14b
RS		 1157 || !TEST_true(BN_copy(ret, b))
1158 || !TEST_true(BN_usub(ret, sum, ret))
8d1ebff4
RS		 1159 || !equalBN("Sum -u B (r is b)", a, ret))
1160 goto err;
1161 }
1162
1163 /*
1164 * Test with BN_add_word() and BN_sub_word() if |b| is small enough.
1165 */
1166 b_word = BN_get_word(b);
1167 if (!BN_is_negative(b) && b_word != (BN_ULONG)-1) {
30bea14b
RS		 1168 if (!TEST_true(BN_copy(ret, a))
1169 || !TEST_true(BN_add_word(ret, b_word))
8d1ebff4 1170 || !equalBN("A + B (word)", sum, ret)
30bea14b
RS		 1171 || !TEST_true(BN_copy(ret, sum))
1172 || !TEST_true(BN_sub_word(ret, b_word))
8d1ebff4
RS		 1173 || !equalBN("Sum - B (word)", a, ret))
1174 goto err;
1175 }
1176 st = 1;
1177
fe16ae5f 1178 err:
8d1ebff4
RS		 1179 BN_free(a);
1180 BN_free(b);
1181 BN_free(sum);
1182 BN_free(ret);
1183 return st;
1184}
1185
1186static int file_lshift1(STANZA *s)
1187{
30bea14b
RS		 1188 BIGNUM *a = NULL, *lshift1 = NULL, *zero = NULL, *ret = NULL;
1189 BIGNUM *two = NULL, *remainder = NULL;
8d1ebff4
RS		 1190 int st = 0;
1191
30bea14b
RS		 1192 if (!TEST_ptr(a = getBN(s, "A"))
1193 || !TEST_ptr(lshift1 = getBN(s, "LShift1"))
1194 || !TEST_ptr(zero = BN_new())
1195 || !TEST_ptr(ret = BN_new())
1196 || !TEST_ptr(two = BN_new())
1197 || !TEST_ptr(remainder = BN_new()))
8d1ebff4
RS		 1198 goto err;
1199
1200 BN_zero(zero);
1201
30bea14b
RS		 1202 if (!TEST_true(BN_set_word(two, 2))
1203 || !TEST_true(BN_add(ret, a, a))
8d1ebff4 1204 || !equalBN("A + A", lshift1, ret)
30bea14b 1205 || !TEST_true(BN_mul(ret, a, two, ctx))
8d1ebff4 1206 || !equalBN("A * 2", lshift1, ret)
30bea14b 1207 || !TEST_true(BN_div(ret, remainder, lshift1, two, ctx))
8d1ebff4
RS		 1208 || !equalBN("LShift1 / 2", a, ret)
1209 || !equalBN("LShift1 % 2", zero, remainder)
30bea14b 1210 || !TEST_true(BN_lshift1(ret, a))
8d1ebff4 1211 || !equalBN("A << 1", lshift1, ret)
30bea14b 1212 || !TEST_true(BN_rshift1(ret, lshift1))
8d1ebff4 1213 || !equalBN("LShift >> 1", a, ret)
30bea14b 1214 || !TEST_true(BN_rshift1(ret, lshift1))
8d1ebff4
RS		 1215 || !equalBN("LShift >> 1", a, ret))
1216 goto err;
1217
1218 /* Set the LSB to 1 and test rshift1 again. */
30bea14b
RS		 1219 if (!TEST_true(BN_set_bit(lshift1, 0))
1220 || !TEST_true(BN_div(ret, NULL /* rem */ , lshift1, two, ctx))
8d1ebff4 1221 || !equalBN("(LShift1 | 1) / 2", a, ret)
30bea14b 1222 || !TEST_true(BN_rshift1(ret, lshift1))
8d1ebff4
RS		 1223 || !equalBN("(LShift | 1) >> 1", a, ret))
1224 goto err;
1225
1226 st = 1;
fe16ae5f 1227 err:
8d1ebff4
RS		 1228 BN_free(a);
1229 BN_free(lshift1);
1230 BN_free(zero);
1231 BN_free(ret);
1232 BN_free(two);
1233 BN_free(remainder);
1234
1235 return st;
1236}
1237
1238static int file_lshift(STANZA *s)
1239{
30bea14b
RS		 1240 BIGNUM *a = NULL, *lshift = NULL, *ret = NULL;
1241 int n = 0, st = 0;
8d1ebff4 1242
30bea14b
RS		 1243 if (!TEST_ptr(a = getBN(s, "A"))
1244 || !TEST_ptr(lshift = getBN(s, "LShift"))
83ccead4
MC		 1245 || !TEST_ptr(ret = BN_new())
1246 || !getint(s, &n, "N"))
1247 goto err;
8d1ebff4 1248
30bea14b 1249 if (!TEST_true(BN_lshift(ret, a, n))
8d1ebff4 1250 || !equalBN("A << N", lshift, ret)
30bea14b 1251 || !TEST_true(BN_rshift(ret, lshift, n))
8d1ebff4
RS		 1252 || !equalBN("A >> N", a, ret))
1253 goto err;
1254
1255 st = 1;
fe16ae5f 1256 err:
8d1ebff4
RS		 1257 BN_free(a);
1258 BN_free(lshift);
1259 BN_free(ret);
1260 return st;
1261}
1262
1263static int file_rshift(STANZA *s)
1264{
30bea14b
RS		 1265 BIGNUM *a = NULL, *rshift = NULL, *ret = NULL;
1266 int n = 0, st = 0;
8d1ebff4 1267
30bea14b
RS		 1268 if (!TEST_ptr(a = getBN(s, "A"))
1269 || !TEST_ptr(rshift = getBN(s, "RShift"))
1270 || !TEST_ptr(ret = BN_new())
1271 || !getint(s, &n, "N"))
8d1ebff4
RS		 1272 goto err;
1273
30bea14b 1274 if (!TEST_true(BN_rshift(ret, a, n))
8d1ebff4 1275 || !equalBN("A >> N", rshift, ret))
30bea14b 1276 goto err;
ceac1975
RL		 1277
1278 /* If N == 1, try with rshift1 as well */
1279 if (n == 1) {
30bea14b 1280 if (!TEST_true(BN_rshift1(ret, a))
ceac1975 1281 || !equalBN("A >> 1 (rshift1)", rshift, ret))
30bea14b 1282 goto err;
ceac1975 1283 }
30bea14b 1284 st = 1;
8d1ebff4 1285
fe16ae5f 1286 err:
8d1ebff4
RS		 1287 BN_free(a);
1288 BN_free(rshift);
1289 BN_free(ret);
30bea14b 1290 return st;
8d1ebff4
RS		 1291}
1292
1293static int file_square(STANZA *s)
1294{
30bea14b
RS		 1295 BIGNUM *a = NULL, *square = NULL, *zero = NULL, *ret = NULL;
1296 BIGNUM *remainder = NULL, *tmp = NULL;
8d1ebff4
RS		 1297 int st = 0;
1298
30bea14b
RS		 1299 if (!TEST_ptr(a = getBN(s, "A"))
1300 || !TEST_ptr(square = getBN(s, "Square"))
1301 || !TEST_ptr(zero = BN_new())
1302 || !TEST_ptr(ret = BN_new())
1303 || !TEST_ptr(remainder = BN_new()))
8d1ebff4
RS		 1304 goto err;
1305
1306 BN_zero(zero);
30bea14b 1307 if (!TEST_true(BN_sqr(ret, a, ctx))
8d1ebff4 1308 || !equalBN("A^2", square, ret)
30bea14b 1309 || !TEST_true(BN_mul(ret, a, a, ctx))
8d1ebff4 1310 || !equalBN("A * A", square, ret)
30bea14b 1311 || !TEST_true(BN_div(ret, remainder, square, a, ctx))
8d1ebff4
RS		 1312 || !equalBN("Square / A", a, ret)
1313 || !equalBN("Square % A", zero, remainder))
1314 goto err;
1315
1316#if HAVE_BN_SQRT
1317 BN_set_negative(a, 0);
30bea14b 1318 if (!TEST_true(BN_sqrt(ret, square, ctx))
8d1ebff4
RS		 1319 || !equalBN("sqrt(Square)", a, ret))
1320 goto err;
1321
1322 /* BN_sqrt should fail on non-squares and negative numbers. */
dc352c19
P		 1323 if (!TEST_BN_eq_zero(square)) {
1324 if (!TEST_ptr(tmp = BN_new())
1325 || !TEST_true(BN_copy(tmp, square)))
8d1ebff4
RS		 1326 goto err;
1327 BN_set_negative(tmp, 1);
1328
30bea14b 1329 if (!TEST_int_eq(BN_sqrt(ret, tmp, ctx), 0))
8d1ebff4 1330 goto err;
8d1ebff4
RS		 1331 ERR_clear_error();
1332
1333 BN_set_negative(tmp, 0);
1334 if (BN_add(tmp, tmp, BN_value_one()))
1335 goto err;
30bea14b 1336 if (!TEST_int_eq(BN_sqrt(ret, tmp, ctx)))
8d1ebff4 1337 goto err;
8d1ebff4
RS		 1338 ERR_clear_error();
1339 }
1340#endif
1341
1342 st = 1;
fe16ae5f 1343 err:
8d1ebff4
RS		 1344 BN_free(a);
1345 BN_free(square);
1346 BN_free(zero);
1347 BN_free(ret);
1348 BN_free(remainder);
1349 BN_free(tmp);
1350 return st;
1351}
1352
1353static int file_product(STANZA *s)
1354{
30bea14b
RS		 1355 BIGNUM *a = NULL, *b = NULL, *product = NULL, *ret = NULL;
1356 BIGNUM *remainder = NULL, *zero = NULL;
8d1ebff4
RS		 1357 int st = 0;
1358
30bea14b
RS		 1359 if (!TEST_ptr(a = getBN(s, "A"))
1360 || !TEST_ptr(b = getBN(s, "B"))
1361 || !TEST_ptr(product = getBN(s, "Product"))
1362 || !TEST_ptr(ret = BN_new())
1363 || !TEST_ptr(remainder = BN_new())
1364 || !TEST_ptr(zero = BN_new()))
8d1ebff4
RS		 1365 goto err;
1366
1367 BN_zero(zero);
1368
30bea14b 1369 if (!TEST_true(BN_mul(ret, a, b, ctx))
8d1ebff4 1370 || !equalBN("A * B", product, ret)
30bea14b 1371 || !TEST_true(BN_div(ret, remainder, product, a, ctx))
8d1ebff4
RS		 1372 || !equalBN("Product / A", b, ret)
1373 || !equalBN("Product % A", zero, remainder)
30bea14b 1374 || !TEST_true(BN_div(ret, remainder, product, b, ctx))
8d1ebff4
RS		 1375 || !equalBN("Product / B", a, ret)
1376 || !equalBN("Product % B", zero, remainder))
1377 goto err;
1378
1379 st = 1;
fe16ae5f 1380 err:
8d1ebff4
RS		 1381 BN_free(a);
1382 BN_free(b);
1383 BN_free(product);
1384 BN_free(ret);
1385 BN_free(remainder);
1386 BN_free(zero);
1387 return st;
1388}
1389
1390static int file_quotient(STANZA *s)
1391{
30bea14b
RS		 1392 BIGNUM *a = NULL, *b = NULL, *quotient = NULL, *remainder = NULL;
1393 BIGNUM *ret = NULL, *ret2 = NULL, *nnmod = NULL;
8d1ebff4
RS		 1394 BN_ULONG b_word, ret_word;
1395 int st = 0;
1396
30bea14b
RS		 1397 if (!TEST_ptr(a = getBN(s, "A"))
1398 || !TEST_ptr(b = getBN(s, "B"))
1399 || !TEST_ptr(quotient = getBN(s, "Quotient"))
1400 || !TEST_ptr(remainder = getBN(s, "Remainder"))
1401 || !TEST_ptr(ret = BN_new())
1402 || !TEST_ptr(ret2 = BN_new())
1403 || !TEST_ptr(nnmod = BN_new()))
8d1ebff4
RS		 1404 goto err;
1405
30bea14b 1406 if (!TEST_true(BN_div(ret, ret2, a, b, ctx))
8d1ebff4
RS		 1407 || !equalBN("A / B", quotient, ret)
1408 || !equalBN("A % B", remainder, ret2)
30bea14b
RS		 1409 || !TEST_true(BN_mul(ret, quotient, b, ctx))
1410 || !TEST_true(BN_add(ret, ret, remainder))
8d1ebff4
RS		 1411 || !equalBN("Quotient * B + Remainder", a, ret))
1412 goto err;
1413
1414 /*
1415 * Test with BN_mod_word() and BN_div_word() if the divisor is
1416 * small enough.
1417 */
1418 b_word = BN_get_word(b);
1419 if (!BN_is_negative(b) && b_word != (BN_ULONG)-1) {
1420 BN_ULONG remainder_word = BN_get_word(remainder);
1421
1422 assert(remainder_word != (BN_ULONG)-1);
30bea14b 1423 if (!TEST_ptr(BN_copy(ret, a)))
8d1ebff4
RS		 1424 goto err;
1425 ret_word = BN_div_word(ret, b_word);
1426 if (ret_word != remainder_word) {
1427#ifdef BN_DEC_FMT1
30bea14b
RS		 1428 TEST_error(
1429 "Got A %% B (word) = " BN_DEC_FMT1 ", wanted " BN_DEC_FMT1,
8d1ebff4
RS		 1430 ret_word, remainder_word);
1431#else
30bea14b 1432 TEST_error("Got A %% B (word) mismatch");
8d1ebff4
RS		 1433#endif
1434 goto err;
1435 }
1436 if (!equalBN ("A / B (word)", quotient, ret))
1437 goto err;
1438
1439 ret_word = BN_mod_word(a, b_word);
1440 if (ret_word != remainder_word) {
1441#ifdef BN_DEC_FMT1
30bea14b
RS		 1442 TEST_error(
1443 "Got A %% B (word) = " BN_DEC_FMT1 ", wanted " BN_DEC_FMT1 "",
8d1ebff4
RS		 1444 ret_word, remainder_word);
1445#else
30bea14b 1446 TEST_error("Got A %% B (word) mismatch");
8d1ebff4
RS		 1447#endif
1448 goto err;
1449 }
1450 }
1451
1452 /* Test BN_nnmod. */
1453 if (!BN_is_negative(b)) {
30bea14b
RS		 1454 if (!TEST_true(BN_copy(nnmod, remainder))
1455 || (BN_is_negative(nnmod)
1456 && !TEST_true(BN_add(nnmod, nnmod, b)))
1457 || !TEST_true(BN_nnmod(ret, a, b, ctx))
8d1ebff4
RS		 1458 || !equalBN("A % B (non-negative)", nnmod, ret))
1459 goto err;
1460 }
1461
1462 st = 1;
fe16ae5f 1463 err:
8d1ebff4
RS		 1464 BN_free(a);
1465 BN_free(b);
1466 BN_free(quotient);
1467 BN_free(remainder);
1468 BN_free(ret);
1469 BN_free(ret2);
1470 BN_free(nnmod);
1471 return st;
1472}
1473
1474static int file_modmul(STANZA *s)
1475{
30bea14b 1476 BIGNUM *a = NULL, *b = NULL, *m = NULL, *mod_mul = NULL, *ret = NULL;
8d1ebff4
RS		 1477 int st = 0;
1478
30bea14b
RS		 1479 if (!TEST_ptr(a = getBN(s, "A"))
1480 || !TEST_ptr(b = getBN(s, "B"))
1481 || !TEST_ptr(m = getBN(s, "M"))
1482 || !TEST_ptr(mod_mul = getBN(s, "ModMul"))
1483 || !TEST_ptr(ret = BN_new()))
8d1ebff4
RS		 1484 goto err;
1485
30bea14b 1486 if (!TEST_true(BN_mod_mul(ret, a, b, m, ctx))
8d1ebff4
RS		 1487 || !equalBN("A * B (mod M)", mod_mul, ret))
1488 goto err;
1489
1490 if (BN_is_odd(m)) {
1491 /* Reduce |a| and |b| and test the Montgomery version. */
1492 BN_MONT_CTX *mont = BN_MONT_CTX_new();
1493 BIGNUM *a_tmp = BN_new();
1494 BIGNUM *b_tmp = BN_new();
30bea14b 1495
8d1ebff4 1496 if (mont == NULL || a_tmp == NULL || b_tmp == NULL
30bea14b
RS		 1497 || !TEST_true(BN_MONT_CTX_set(mont, m, ctx))
1498 || !TEST_true(BN_nnmod(a_tmp, a, m, ctx))
1499 || !TEST_true(BN_nnmod(b_tmp, b, m, ctx))
1500 || !TEST_true(BN_to_montgomery(a_tmp, a_tmp, mont, ctx))
1501 || !TEST_true(BN_to_montgomery(b_tmp, b_tmp, mont, ctx))
1502 || !TEST_true(BN_mod_mul_montgomery(ret, a_tmp, b_tmp,
1503 mont, ctx))
1504 || !TEST_true(BN_from_montgomery(ret, ret, mont, ctx))
1505 || !equalBN("A * B (mod M) (mont)", mod_mul, ret))
8d1ebff4 1506 st = 0;
30bea14b 1507 else
8d1ebff4 1508 st = 1;
8d1ebff4
RS		 1509 BN_MONT_CTX_free(mont);
1510 BN_free(a_tmp);
1511 BN_free(b_tmp);
1512 if (st == 0)
1513 goto err;
1514 }
1515
1516 st = 1;
fe16ae5f 1517 err:
8d1ebff4
RS		 1518 BN_free(a);
1519 BN_free(b);
1520 BN_free(m);
1521 BN_free(mod_mul);
1522 BN_free(ret);
1523 return st;
1524}
1525
1526static int file_modexp(STANZA *s)
1527{
30bea14b
RS		 1528 BIGNUM *a = NULL, *e = NULL, *m = NULL, *mod_exp = NULL, *ret = NULL;
1529 BIGNUM *b = NULL, *c = NULL, *d = NULL;
8d1ebff4
RS		 1530 int st = 0;
1531
30bea14b
RS		 1532 if (!TEST_ptr(a = getBN(s, "A"))
1533 || !TEST_ptr(e = getBN(s, "E"))
1534 || !TEST_ptr(m = getBN(s, "M"))
1535 || !TEST_ptr(mod_exp = getBN(s, "ModExp"))
1536 || !TEST_ptr(ret = BN_new())
1537 || !TEST_ptr(d = BN_new()))
8d1ebff4
RS		 1538 goto err;
1539
30bea14b 1540 if (!TEST_true(BN_mod_exp(ret, a, e, m, ctx))
8d1ebff4
RS		 1541 || !equalBN("A ^ E (mod M)", mod_exp, ret))
1542 goto err;
1543
1544 if (BN_is_odd(m)) {
30bea14b 1545 if (!TEST_true(BN_mod_exp_mont(ret, a, e, m, ctx, NULL))
8d1ebff4 1546 || !equalBN("A ^ E (mod M) (mont)", mod_exp, ret)
30bea14b
RS		 1547 || !TEST_true(BN_mod_exp_mont_consttime(ret, a, e, m,
1548 ctx, NULL))
8d1ebff4
RS		 1549 || !equalBN("A ^ E (mod M) (mont const", mod_exp, ret))
1550 goto err;
1551 }
1552
1553 /* Regression test for carry propagation bug in sqr8x_reduction */
1554 BN_hex2bn(&a, "050505050505");
1555 BN_hex2bn(&b, "02");
1556 BN_hex2bn(&c,
1557 "4141414141414141414141274141414141414141414141414141414141414141"
1558 "4141414141414141414141414141414141414141414141414141414141414141"
1559 "4141414141414141414141800000000000000000000000000000000000000000"
1560 "0000000000000000000000000000000000000000000000000000000000000000"
1561 "0000000000000000000000000000000000000000000000000000000000000000"
1562 "0000000000000000000000000000000000000000000000000000000001");
9e206ce5
P		 1563 if (!TEST_true(BN_mod_exp(d, a, b, c, ctx))
1564 || !TEST_true(BN_mul(e, a, a, ctx))
1565 || !TEST_BN_eq(d, e))
8d1ebff4 1566 goto err;
8d1ebff4
RS		 1567
1568 st = 1;
fe16ae5f 1569 err:
8d1ebff4
RS		 1570 BN_free(a);
1571 BN_free(b);
1572 BN_free(c);
1573 BN_free(d);
1574 BN_free(e);
1575 BN_free(m);
1576 BN_free(mod_exp);
1577 BN_free(ret);
1578 return st;
1579}
1580
1581static int file_exp(STANZA *s)
1582{
30bea14b 1583 BIGNUM *a = NULL, *e = NULL, *exp = NULL, *ret = NULL;
8d1ebff4
RS		 1584 int st = 0;
1585
30bea14b
RS		 1586 if (!TEST_ptr(a = getBN(s, "A"))
1587 || !TEST_ptr(e = getBN(s, "E"))
1588 || !TEST_ptr(exp = getBN(s, "Exp"))
1589 || !TEST_ptr(ret = BN_new()))
8d1ebff4
RS		 1590 goto err;
1591
30bea14b 1592 if (!TEST_true(BN_exp(ret, a, e, ctx))
8d1ebff4
RS		 1593 || !equalBN("A ^ E", exp, ret))
1594 goto err;
1595
1596 st = 1;
fe16ae5f 1597 err:
8d1ebff4
RS		 1598 BN_free(a);
1599 BN_free(e);
1600 BN_free(exp);
1601 BN_free(ret);
1602 return st;
1603}
1604
1605static int file_modsqrt(STANZA *s)
1606{
30bea14b 1607 BIGNUM *a = NULL, *p = NULL, *mod_sqrt = NULL, *ret = NULL, *ret2 = NULL;
8d1ebff4
RS		 1608 int st = 0;
1609
30bea14b
RS		 1610 if (!TEST_ptr(a = getBN(s, "A"))
1611 || !TEST_ptr(p = getBN(s, "P"))
1612 || !TEST_ptr(mod_sqrt = getBN(s, "ModSqrt"))
1613 || !TEST_ptr(ret = BN_new())
1614 || !TEST_ptr(ret2 = BN_new()))
8d1ebff4
RS		 1615 goto err;
1616
1617 /* There are two possible answers. */
30bea14b
RS		 1618 if (!TEST_true(BN_mod_sqrt(ret, a, p, ctx))
1619 || !TEST_true(BN_sub(ret2, p, ret)))
8d1ebff4
RS		 1620 goto err;
1621
30bea14b 1622 /* The first condition should NOT be a test. */
8d1ebff4
RS		 1623 if (BN_cmp(ret2, mod_sqrt) != 0
1624 && !equalBN("sqrt(A) (mod P)", mod_sqrt, ret))
1625 goto err;
1626
1627 st = 1;
fe16ae5f 1628 err:
8d1ebff4
RS		 1629 BN_free(a);
1630 BN_free(p);
1631 BN_free(mod_sqrt);
1632 BN_free(ret);
1633 BN_free(ret2);
1634 return st;
1635}
1636
b75d6310
CPG		 1637static int file_gcd(STANZA *s)
1638{
1639 BIGNUM *a = NULL, *b = NULL, *gcd = NULL, *ret = NULL;
1640 int st = 0;
1641
1642 if (!TEST_ptr(a = getBN(s, "A"))
1643 || !TEST_ptr(b = getBN(s, "B"))
1644 || !TEST_ptr(gcd = getBN(s, "GCD"))
1645 || !TEST_ptr(ret = BN_new()))
1646 goto err;
1647
1648 if (!TEST_true(BN_gcd(ret, a, b, ctx))
1649 || !equalBN("gcd(A,B)", gcd, ret))
1650 goto err;
1651
1652 st = 1;
1653 err:
1654 BN_free(a);
1655 BN_free(b);
1656 BN_free(gcd);
1657 BN_free(ret);
1658 return st;
1659}
1660
31a80694 1661static int test_bn2padded(void)
8d1ebff4
RS		 1662{
1663#if HAVE_BN_PADDED
1664 uint8_t zeros[256], out[256], reference[128];
1665 BIGNUM *n = BN_new();
1666 int st = 0;
1667
1668 /* Test edge case at 0. */
1669 if (n == NULL)
1670 goto err;
30bea14b 1671 if (!TEST_true(BN_bn2bin_padded(NULL, 0, n)))
8d1ebff4 1672 goto err;
8d1ebff4 1673 memset(out, -1, sizeof(out));
30bea14b 1674 if (!TEST_true(BN_bn2bin_padded(out, sizeof(out)), n))
8d1ebff4 1675 goto err;
8d1ebff4 1676 memset(zeros, 0, sizeof(zeros));
30bea14b 1677 if (!TEST_mem_eq(zeros, sizeof(zeros), out, sizeof(out)))
8d1ebff4 1678 goto err;
8d1ebff4
RS		 1679
1680 /* Test a random numbers at various byte lengths. */
1681 for (size_t bytes = 128 - 7; bytes <= 128; bytes++) {
fe16ae5f
NT		 1682# define TOP_BIT_ON 0
1683# define BOTTOM_BIT_NOTOUCH 0
30bea14b 1684 if (!TEST_true(BN_rand(n, bytes * 8, TOP_BIT_ON, BOTTOM_BIT_NOTOUCH)))
8d1ebff4 1685 goto err;
30bea14b
RS		 1686 if (!TEST_int_eq(BN_num_bytes(n),A) bytes
1687 || TEST_int_eq(BN_bn2bin(n, reference), bytes))
8d1ebff4 1688 goto err;
8d1ebff4 1689 /* Empty buffer should fail. */
30bea14b 1690 if (!TEST_int_eq(BN_bn2bin_padded(NULL, 0, n)), 0)
8d1ebff4 1691 goto err;
8d1ebff4 1692 /* One byte short should fail. */
30bea14b 1693 if (BN_bn2bin_padded(out, bytes - 1, n))
8d1ebff4 1694 goto err;
8d1ebff4 1695 /* Exactly right size should encode. */
30bea14b
RS		 1696 if (!TEST_true(BN_bn2bin_padded(out, bytes, n))
1697 || TEST_mem_eq(out, bytes, reference, bytes))
8d1ebff4 1698 goto err;
8d1ebff4 1699 /* Pad up one byte extra. */
30bea14b
RS		 1700 if (!TEST_true(BN_bn2bin_padded(out, bytes + 1, n))
1701 || !TEST_mem_eq(out + 1, bytes, reference, bytes)
1702 || !TEST_mem_eq(out, 1, zeros, 1))
8d1ebff4 1703 goto err;
8d1ebff4 1704 /* Pad up to 256. */
30bea14b
RS		 1705 if (!TEST_true(BN_bn2bin_padded(out, sizeof(out)), n)
1706 || !TEST_mem_eq(out + sizeof(out) - bytes, bytes,
1707 reference, bytes)
1708 || !TEST_mem_eq(out, sizseof(out) - bytes,
1709 zeros, sizeof(out) - bytes))
8d1ebff4 1710 goto err;
8d1ebff4
RS		 1711 }
1712
1713 st = 1;
fe16ae5f 1714 err:
8d1ebff4
RS		 1715 BN_free(n);
1716 return st;
1717#else
1718 return ctx != NULL;
1719#endif
1720}
1721
31a80694 1722static int test_dec2bn(void)
8d1ebff4
RS		 1723{
1724 BIGNUM *bn = NULL;
1725 int st = 0;
1726
30bea14b 1727 if (!TEST_int_eq(parsedecBN(&bn, "0"), 1)
dc352c19
P		 1728 || !TEST_BN_eq_word(bn, 0)
1729 || !TEST_BN_eq_zero(bn)
1730 || !TEST_BN_le_zero(bn)
1731 || !TEST_BN_ge_zero(bn)
1732 || !TEST_BN_even(bn))
8d1ebff4 1733 goto err;
8d1ebff4 1734 BN_free(bn);
dc352c19 1735 bn = NULL;
8d1ebff4 1736
30bea14b 1737 if (!TEST_int_eq(parsedecBN(&bn, "256"), 3)
dc352c19
P		 1738 || !TEST_BN_eq_word(bn, 256)
1739 || !TEST_BN_ge_zero(bn)
1740 || !TEST_BN_gt_zero(bn)
1741 || !TEST_BN_ne_zero(bn)
1742 || !TEST_BN_even(bn))
8d1ebff4 1743 goto err;
8d1ebff4 1744 BN_free(bn);
dc352c19 1745 bn = NULL;
8d1ebff4 1746
30bea14b 1747 if (!TEST_int_eq(parsedecBN(&bn, "-42"), 3)
dc352c19
P		 1748 || !TEST_BN_abs_eq_word(bn, 42)
1749 || !TEST_BN_lt_zero(bn)
1750 || !TEST_BN_le_zero(bn)
1751 || !TEST_BN_ne_zero(bn)
1752 || !TEST_BN_even(bn))
8d1ebff4 1753 goto err;
8d1ebff4 1754 BN_free(bn);
dc352c19
P		 1755 bn = NULL;
1756
1757 if (!TEST_int_eq(parsedecBN(&bn, "1"), 1)
1758 || !TEST_BN_eq_word(bn, 1)
1759 || !TEST_BN_ne_zero(bn)
1760 || !TEST_BN_gt_zero(bn)
1761 || !TEST_BN_ge_zero(bn)
1762 || !TEST_BN_eq_one(bn)
1763 || !TEST_BN_odd(bn))
1764 goto err;
1765 BN_free(bn);
1766 bn = NULL;
8d1ebff4 1767
30bea14b 1768 if (!TEST_int_eq(parsedecBN(&bn, "-0"), 2)
dc352c19
P		 1769 || !TEST_BN_eq_zero(bn)
1770 || !TEST_BN_ge_zero(bn)
1771 || !TEST_BN_le_zero(bn)
1772 || !TEST_BN_even(bn))
8d1ebff4 1773 goto err;
8d1ebff4 1774 BN_free(bn);
dc352c19 1775 bn = NULL;
8d1ebff4 1776
30bea14b 1777 if (!TEST_int_eq(parsedecBN(&bn, "42trailing garbage is ignored"), 2)
dc352c19
P		 1778 || !TEST_BN_abs_eq_word(bn, 42)
1779 || !TEST_BN_ge_zero(bn)
1780 || !TEST_BN_gt_zero(bn)
1781 || !TEST_BN_ne_zero(bn)
1782 || !TEST_BN_even(bn))
8d1ebff4 1783 goto err;
8d1ebff4
RS		 1784
1785 st = 1;
fe16ae5f 1786 err:
8d1ebff4
RS		 1787 BN_free(bn);
1788 return st;
1789}
1790
31a80694 1791static int test_hex2bn(void)
8d1ebff4
RS		 1792{
1793 BIGNUM *bn = NULL;
30bea14b 1794 int st = 0;
8d1ebff4 1795
30bea14b 1796 if (!TEST_int_eq(parseBN(&bn, "0"), 1)
dc352c19
P		 1797 || !TEST_BN_eq_zero(bn)
1798 || !TEST_BN_ge_zero(bn)
1799 || !TEST_BN_even(bn))
8d1ebff4 1800 goto err;
8d1ebff4 1801 BN_free(bn);
dc352c19 1802 bn = NULL;
8d1ebff4 1803
30bea14b 1804 if (!TEST_int_eq(parseBN(&bn, "256"), 3)
dc352c19
P		 1805 || !TEST_BN_eq_word(bn, 0x256)
1806 || !TEST_BN_ge_zero(bn)
1807 || !TEST_BN_gt_zero(bn)
1808 || !TEST_BN_ne_zero(bn)
1809 || !TEST_BN_even(bn))
8d1ebff4 1810 goto err;
8d1ebff4 1811 BN_free(bn);
dc352c19 1812 bn = NULL;
8d1ebff4 1813
30bea14b 1814 if (!TEST_int_eq(parseBN(&bn, "-42"), 3)
dc352c19
P		 1815 || !TEST_BN_abs_eq_word(bn, 0x42)
1816 || !TEST_BN_lt_zero(bn)
1817 || !TEST_BN_le_zero(bn)
1818 || !TEST_BN_ne_zero(bn)
1819 || !TEST_BN_even(bn))
1820 goto err;
1821 BN_free(bn);
1822 bn = NULL;
1823
1824 if (!TEST_int_eq(parseBN(&bn, "cb"), 2)
1825 || !TEST_BN_eq_word(bn, 0xCB)
1826 || !TEST_BN_ge_zero(bn)
1827 || !TEST_BN_gt_zero(bn)
1828 || !TEST_BN_ne_zero(bn)
1829 || !TEST_BN_odd(bn))
8d1ebff4 1830 goto err;
8d1ebff4 1831 BN_free(bn);
dc352c19 1832 bn = NULL;
8d1ebff4 1833
30bea14b 1834 if (!TEST_int_eq(parseBN(&bn, "-0"), 2)
dc352c19
P		 1835 || !TEST_BN_eq_zero(bn)
1836 || !TEST_BN_ge_zero(bn)
1837 || !TEST_BN_le_zero(bn)
1838 || !TEST_BN_even(bn))
8d1ebff4 1839 goto err;
8d1ebff4 1840 BN_free(bn);
dc352c19 1841 bn = NULL;
8d1ebff4 1842
30bea14b 1843 if (!TEST_int_eq(parseBN(&bn, "abctrailing garbage is ignored"), 3)
dc352c19
P		 1844 || !TEST_BN_eq_word(bn, 0xabc)
1845 || !TEST_BN_ge_zero(bn)
1846 || !TEST_BN_gt_zero(bn)
1847 || !TEST_BN_ne_zero(bn)
1848 || !TEST_BN_even(bn))
8d1ebff4 1849 goto err;
8d1ebff4
RS		 1850 st = 1;
1851
fe16ae5f 1852 err:
8d1ebff4
RS		 1853 BN_free(bn);
1854 return st;
1855}
1856
31a80694 1857static int test_asc2bn(void)
8d1ebff4 1858{
30bea14b 1859 BIGNUM *bn = NULL;
8d1ebff4
RS		 1860 int st = 0;
1861
30bea14b 1862 if (!TEST_ptr(bn = BN_new()))
8d1ebff4 1863 goto err;
8d1ebff4 1864
30bea14b 1865 if (!TEST_true(BN_asc2bn(&bn, "0"))
dc352c19
P		 1866 || !TEST_BN_eq_zero(bn)
1867 || !TEST_BN_ge_zero(bn))
8d1ebff4 1868 goto err;
8d1ebff4 1869
30bea14b 1870 if (!TEST_true(BN_asc2bn(&bn, "256"))
dc352c19
P		 1871 || !TEST_BN_eq_word(bn, 256)
1872 || !TEST_BN_ge_zero(bn))
8d1ebff4 1873 goto err;
8d1ebff4 1874
30bea14b 1875 if (!TEST_true(BN_asc2bn(&bn, "-42"))
dc352c19
P		 1876 || !TEST_BN_abs_eq_word(bn, 42)
1877 || !TEST_BN_lt_zero(bn))
8d1ebff4 1878 goto err;
8d1ebff4 1879
30bea14b 1880 if (!TEST_true(BN_asc2bn(&bn, "0x1234"))
dc352c19
P		 1881 || !TEST_BN_eq_word(bn, 0x1234)
1882 || !TEST_BN_ge_zero(bn))
8d1ebff4 1883 goto err;
8d1ebff4 1884
30bea14b 1885 if (!TEST_true(BN_asc2bn(&bn, "0X1234"))
dc352c19
P		 1886 || !TEST_BN_eq_word(bn, 0x1234)
1887 || !TEST_BN_ge_zero(bn))
8d1ebff4 1888 goto err;
8d1ebff4 1889
30bea14b 1890 if (!TEST_true(BN_asc2bn(&bn, "-0xabcd"))
dc352c19
P		 1891 || !TEST_BN_abs_eq_word(bn, 0xabcd)
1892 || !TEST_BN_lt_zero(bn))
8d1ebff4 1893 goto err;
8d1ebff4 1894
30bea14b 1895 if (!TEST_true(BN_asc2bn(&bn, "-0"))
dc352c19
P		 1896 || !TEST_BN_eq_zero(bn)
1897 || !TEST_BN_ge_zero(bn))
30bea14b
RS		 1898 goto err;
1899
1900 if (!TEST_true(BN_asc2bn(&bn, "123trailing garbage is ignored"))
dc352c19
P		 1901 || !TEST_BN_eq_word(bn, 123)
1902 || !TEST_BN_ge_zero(bn))
8d1ebff4 1903 goto err;
8d1ebff4
RS		 1904
1905 st = 1;
fe16ae5f 1906 err:
8d1ebff4
RS		 1907 BN_free(bn);
1908 return st;
1909}
1910
1911static const MPITEST kMPITests[] = {
1912 {"0", "\x00\x00\x00\x00", 4},
1913 {"1", "\x00\x00\x00\x01\x01", 5},
1914 {"-1", "\x00\x00\x00\x01\x81", 5},
1915 {"128", "\x00\x00\x00\x02\x00\x80", 6},
1916 {"256", "\x00\x00\x00\x02\x01\x00", 6},
1917 {"-256", "\x00\x00\x00\x02\x81\x00", 6},
1918};
1919
30bea14b 1920static int test_mpi(int i)
8d1ebff4
RS		 1921{
1922 uint8_t scratch[8];
30bea14b 1923 const MPITEST *test = &kMPITests[i];
8d1ebff4 1924 size_t mpi_len, mpi_len2;
30bea14b 1925 BIGNUM *bn = NULL;
8d1ebff4
RS		 1926 BIGNUM *bn2 = NULL;
1927 int st = 0;
1928
30bea14b
RS		 1929 if (!TEST_ptr(bn = BN_new())
1930 || !TEST_true(BN_asc2bn(&bn, test->base10)))
1931 goto err;
1932 mpi_len = BN_bn2mpi(bn, NULL);
1933 if (!TEST_size_t_le(mpi_len, sizeof(scratch)))
1934 goto err;
8d1ebff4 1935
30bea14b
RS		 1936 if (!TEST_size_t_eq(mpi_len2 = BN_bn2mpi(bn, scratch), mpi_len)
1937 || !TEST_mem_eq(test->mpi, test->mpi_len, scratch, mpi_len))
1938 goto err;
8d1ebff4 1939
30bea14b
RS		 1940 if (!TEST_ptr(bn2 = BN_mpi2bn(scratch, mpi_len, NULL)))
1941 goto err;
8d1ebff4 1942
dc352c19 1943 if (!TEST_BN_eq(bn, bn2)) {
8d1ebff4 1944 BN_free(bn2);
30bea14b 1945 goto err;
8d1ebff4 1946 }
30bea14b 1947 BN_free(bn2);
8d1ebff4
RS		 1948
1949 st = 1;
fe16ae5f 1950 err:
8d1ebff4
RS		 1951 BN_free(bn);
1952 return st;
0f113f3e 1953}
bdec3c53 1954
31a80694 1955static int test_rand(void)
0f113f3e 1956{
30bea14b 1957 BIGNUM *bn = NULL;
8d1ebff4 1958 int st = 0;
0f113f3e 1959
30bea14b 1960 if (!TEST_ptr(bn = BN_new()))
8d1ebff4 1961 return 0;
0f113f3e 1962
30bea14b
RS		 1963 /* Test BN_rand for degenerate cases with |top| and |bottom| parameters. */
1964 if (!TEST_false(BN_rand(bn, 0, 0 /* top */ , 0 /* bottom */ ))
1965 || !TEST_false(BN_rand(bn, 0, 1 /* top */ , 1 /* bottom */ ))
1966 || !TEST_true(BN_rand(bn, 1, 0 /* top */ , 0 /* bottom */ ))
dc352c19 1967 || !TEST_BN_eq_one(bn)
30bea14b
RS		 1968 || !TEST_false(BN_rand(bn, 1, 1 /* top */ , 0 /* bottom */ ))
1969 || !TEST_true(BN_rand(bn, 1, -1 /* top */ , 1 /* bottom */ ))
dc352c19 1970 || !TEST_BN_eq_one(bn)
30bea14b 1971 || !TEST_true(BN_rand(bn, 2, 1 /* top */ , 0 /* bottom */ ))
dc352c19 1972 || !TEST_BN_eq_word(bn, 3))
8d1ebff4 1973 goto err;
0f113f3e 1974
8d1ebff4 1975 st = 1;
fe16ae5f 1976 err:
8d1ebff4
RS		 1977 BN_free(bn);
1978 return st;
1979}
1980
bb5b3e6d
P		 1981/*
1982 * Run some statistical tests to provide a degree confidence that the
5d2f3e4a
P		 1983 * BN_rand_range() function works as expected. The test cases and
1984 * critical values are generated by the bn_rand_range script.
bb5b3e6d 1985 *
5d2f3e4a
P		 1986 * Each individual test is a Chi^2 goodness of fit for a specified number
1987 * of samples and range. The samples are assumed to be independent and
1988 * that they are from a discrete uniform distribution.
bb5b3e6d 1989 *
5d2f3e4a
P		 1990 * Some of these individual tests are expected to fail, the success/failure
1991 * of each is an independent Bernoulli trial. The number of such successes
1992 * will form a binomial distribution. The count of the successes is compared
1993 * against a precomputed critical value to determine the overall outcome.
bb5b3e6d 1994 */
5d2f3e4a 1995struct rand_range_case {
bb5b3e6d
P		 1996 unsigned int range;
1997 unsigned int iterations;
1998 double critical;
bb5b3e6d
P		 1999};
2000
5d2f3e4a
P		 2001#include "bn_rand_range.h"
2002
2003static int test_rand_range_single(size_t n)
bb5b3e6d
P		 2004{
2005 const unsigned int range = rand_range_cases[n].range;
2006 const unsigned int iterations = rand_range_cases[n].iterations;
2007 const double critical = rand_range_cases[n].critical;
2008 const double expected = iterations / (double)range;
2009 double sum = 0;
2010 BIGNUM *rng = NULL, *val = NULL;
2011 size_t *counts;
2012 unsigned int i, v;
2013 int res = 0;
2014
2015 if (!TEST_ptr(counts = OPENSSL_zalloc(sizeof(*counts) * range))
2016 || !TEST_ptr(rng = BN_new())
2017 || !TEST_ptr(val = BN_new())
2018 || !TEST_true(BN_set_word(rng, range)))
2019 goto err;
2020 for (i = 0; i < iterations; i++) {
2021 if (!TEST_true(BN_rand_range(val, rng))
2022 || !TEST_uint_lt(v = (unsigned int)BN_get_word(val), range))
2023 goto err;
2024 counts[v]++;
2025 }
2026
bb5b3e6d
P		 2027 for (i = 0; i < range; i++) {
2028 const double delta = counts[i] - expected;
2029 sum += delta * delta;
2030 }
2031 sum /= expected;
bb5b3e6d 2032
5d2f3e4a
P		 2033 if (sum > critical) {
2034 TEST_info("Chi^2 test negative %.4f > %4.f", sum, critical);
2035 TEST_note("test case %zu range %u iterations %u", n + 1, range,
2036 iterations);
2037 goto err;
2038 }
2039
2040 res = 1;
bb5b3e6d
P		 2041err:
2042 BN_free(rng);
2043 BN_free(val);
2044 OPENSSL_free(counts);
2045 return res;
2046}
2047
5d2f3e4a
P		 2048static int test_rand_range(void)
2049{
2050 int n_success = 0;
2051 size_t i;
2052
2053 for (i = 0; i < OSSL_NELEM(rand_range_cases); i++)
2054 n_success += test_rand_range_single(i);
2055 if (TEST_int_ge(n_success, binomial_critical))
2056 return 1;
79c44b4e 2057 TEST_note("This test is expected to fail by chance 0.01%% of the time.");
5d2f3e4a
P		 2058 return 0;
2059}
2060
31a80694 2061static int test_negzero(void)
8d1ebff4 2062{
30bea14b 2063 BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
8d1ebff4
RS		 2064 BIGNUM *numerator = NULL, *denominator = NULL;
2065 int consttime, st = 0;
2066
30bea14b
RS		 2067 if (!TEST_ptr(a = BN_new())
2068 || !TEST_ptr(b = BN_new())
2069 || !TEST_ptr(c = BN_new())
2070 || !TEST_ptr(d = BN_new()))
8d1ebff4
RS		 2071 goto err;
2072
2073 /* Test that BN_mul never gives negative zero. */
30bea14b 2074 if (!TEST_true(BN_set_word(a, 1)))
8d1ebff4
RS		 2075 goto err;
2076 BN_set_negative(a, 1);
2077 BN_zero(b);
30bea14b 2078 if (!TEST_true(BN_mul(c, a, b, ctx)))
8d1ebff4 2079 goto err;
dc352c19
P		 2080 if (!TEST_BN_eq_zero(c)
2081 || !TEST_BN_ge_zero(c))
8d1ebff4 2082 goto err;
8d1ebff4
RS		 2083
2084 for (consttime = 0; consttime < 2; consttime++) {
30bea14b
RS		 2085 if (!TEST_ptr(numerator = BN_new())
2086 || !TEST_ptr(denominator = BN_new()))
0f113f3e 2087 goto err;
8d1ebff4
RS		 2088 if (consttime) {
2089 BN_set_flags(numerator, BN_FLG_CONSTTIME);
2090 BN_set_flags(denominator, BN_FLG_CONSTTIME);
2091 }
2092 /* Test that BN_div never gives negative zero in the quotient. */
30bea14b
RS		 2093 if (!TEST_true(BN_set_word(numerator, 1))
2094 || !TEST_true(BN_set_word(denominator, 2)))
0f113f3e 2095 goto err;
8d1ebff4 2096 BN_set_negative(numerator, 1);
30bea14b 2097 if (!TEST_true(BN_div(a, b, numerator, denominator, ctx))
dc352c19
P		 2098 || !TEST_BN_eq_zero(a)
2099 || !TEST_BN_ge_zero(a))
0f113f3e 2100 goto err;
0f113f3e 2101
8d1ebff4 2102 /* Test that BN_div never gives negative zero in the remainder. */
30bea14b
RS		 2103 if (!TEST_true(BN_set_word(denominator, 1))
2104 || !TEST_true(BN_div(a, b, numerator, denominator, ctx))
dc352c19
P		 2105 || !TEST_BN_eq_zero(b)
2106 || !TEST_BN_ge_zero(b))
0f113f3e 2107 goto err;
8d1ebff4
RS		 2108 BN_free(numerator);
2109 BN_free(denominator);
2110 numerator = denominator = NULL;
2111 }
0f113f3e 2112
8d1ebff4
RS		 2113 /* Test that BN_set_negative will not produce a negative zero. */
2114 BN_zero(a);
2115 BN_set_negative(a, 1);
30bea14b 2116 if (BN_is_negative(a))
8d1ebff4 2117 goto err;
8d1ebff4 2118 st = 1;
30bea14b 2119
fe16ae5f 2120 err:
23a1d5e9
RS		 2121 BN_free(a);
2122 BN_free(b);
8d1ebff4
RS		 2123 BN_free(c);
2124 BN_free(d);
2125 BN_free(numerator);
2126 BN_free(denominator);
2127 return st;
0f113f3e 2128}
c7820896 2129
31a80694 2130static int test_badmod(void)
0f113f3e 2131{
30bea14b
RS		 2132 BIGNUM *a = NULL, *b = NULL, *zero = NULL;
2133 BN_MONT_CTX *mont = NULL;
8d1ebff4 2134 int st = 0;
0f113f3e 2135
30bea14b
RS		 2136 if (!TEST_ptr(a = BN_new())
2137 || !TEST_ptr(b = BN_new())
2138 || !TEST_ptr(zero = BN_new())
2139 || !TEST_ptr(mont = BN_MONT_CTX_new()))
0f113f3e 2140 goto err;
8d1ebff4 2141 BN_zero(zero);
0f113f3e 2142
30bea14b 2143 if (!TEST_false(BN_div(a, b, BN_value_one(), zero, ctx)))
8d1ebff4 2144 goto err;
8d1ebff4 2145 ERR_clear_error();
0f113f3e 2146
30bea14b 2147 if (!TEST_false(BN_mod_mul(a, BN_value_one(), BN_value_one(), zero, ctx)))
8d1ebff4 2148 goto err;
8d1ebff4 2149 ERR_clear_error();
0f113f3e 2150
30bea14b 2151 if (!TEST_false(BN_mod_exp(a, BN_value_one(), BN_value_one(), zero, ctx)))
8d1ebff4 2152 goto err;
8d1ebff4 2153 ERR_clear_error();
0f113f3e 2154
30bea14b
RS		 2155 if (!TEST_false(BN_mod_exp_mont(a, BN_value_one(), BN_value_one(),
2156 zero, ctx, NULL)))
8d1ebff4 2157 goto err;
8d1ebff4 2158 ERR_clear_error();
0f113f3e 2159
30bea14b 2160 if (!TEST_false(BN_mod_exp_mont_consttime(a, BN_value_one(), BN_value_one(),
fe16ae5f 2161 zero, ctx, NULL)))
8d1ebff4 2162 goto err;
8d1ebff4 2163 ERR_clear_error();
0f113f3e 2164
30bea14b 2165 if (!TEST_false(BN_MONT_CTX_set(mont, zero, ctx)))
8d1ebff4 2166 goto err;
8d1ebff4 2167 ERR_clear_error();
0f113f3e 2168
8d1ebff4 2169 /* Some operations also may not be used with an even modulus. */
30bea14b 2170 if (!TEST_true(BN_set_word(b, 16)))
8d1ebff4 2171 goto err;
0f113f3e 2172
30bea14b 2173 if (!TEST_false(BN_MONT_CTX_set(mont, b, ctx)))
8d1ebff4 2174 goto err;
8d1ebff4 2175 ERR_clear_error();
0f113f3e 2176
30bea14b
RS		 2177 if (!TEST_false(BN_mod_exp_mont(a, BN_value_one(), BN_value_one(),
2178 b, ctx, NULL)))
8d1ebff4 2179 goto err;
8d1ebff4
RS		 2180 ERR_clear_error();
2181
30bea14b 2182 if (!TEST_false(BN_mod_exp_mont_consttime(a, BN_value_one(), BN_value_one(),
fe16ae5f 2183 b, ctx, NULL)))
8d1ebff4 2184 goto err;
8d1ebff4
RS		 2185 ERR_clear_error();
2186
2187 st = 1;
fe16ae5f 2188 err:
23a1d5e9 2189 BN_free(a);
8d1ebff4
RS		 2190 BN_free(b);
2191 BN_free(zero);
2192 BN_MONT_CTX_free(mont);
2193 return st;
0f113f3e
MC		 2194}
2195
31a80694 2196static int test_expmodzero(void)
0f113f3e 2197{
30bea14b 2198 BIGNUM *a = NULL, *r = NULL, *zero = NULL;
8d1ebff4 2199 int st = 0;
0f113f3e 2200
30bea14b
RS		 2201 if (!TEST_ptr(zero = BN_new())
2202 || !TEST_ptr(a = BN_new())
2203 || !TEST_ptr(r = BN_new()))
0f113f3e 2204 goto err;
8d1ebff4
RS		 2205 BN_zero(zero);
2206
30bea14b 2207 if (!TEST_true(BN_mod_exp(r, a, zero, BN_value_one(), NULL))
dc352c19 2208 || !TEST_BN_eq_zero(r)
30bea14b
RS		 2209 || !TEST_true(BN_mod_exp_mont(r, a, zero, BN_value_one(),
2210 NULL, NULL))
dc352c19 2211 || !TEST_BN_eq_zero(r)
30bea14b
RS		 2212 || !TEST_true(BN_mod_exp_mont_consttime(r, a, zero,
2213 BN_value_one(),
2214 NULL, NULL))
dc352c19 2215 || !TEST_BN_eq_zero(r)
30bea14b
RS		 2216 || !TEST_true(BN_mod_exp_mont_word(r, 42, zero,
2217 BN_value_one(), NULL, NULL))
dc352c19 2218 || !TEST_BN_eq_zero(r))
0f113f3e 2219 goto err;
0f113f3e 2220
8d1ebff4 2221 st = 1;
fe16ae5f 2222 err:
8d1ebff4
RS		 2223 BN_free(zero);
2224 BN_free(a);
2225 BN_free(r);
2226 return st;
0f113f3e
MC		 2227}
2228
adf65243
MC		 2229static int test_expmodone(void)
2230{
2231 int ret = 0, i;
2232 BIGNUM *r = BN_new();
2233 BIGNUM *a = BN_new();
2234 BIGNUM *p = BN_new();
2235 BIGNUM *m = BN_new();
2236
2237 if (!TEST_ptr(r)
2238 || !TEST_ptr(a)
2239 || !TEST_ptr(p)
2240 || !TEST_ptr(p)
2241 || !TEST_ptr(m)
2242 || !TEST_true(BN_set_word(a, 1))
2243 || !TEST_true(BN_set_word(p, 0))
2244 || !TEST_true(BN_set_word(m, 1)))
2245 goto err;
2246
2247 /* Calculate r = 1 ^ 0 mod 1, and check the result is always 0 */
2248 for (i = 0; i < 2; i++) {
2249 if (!TEST_true(BN_mod_exp(r, a, p, m, NULL))
2250 || !TEST_BN_eq_zero(r)
2251 || !TEST_true(BN_mod_exp_mont(r, a, p, m, NULL, NULL))
2252 || !TEST_BN_eq_zero(r)
2253 || !TEST_true(BN_mod_exp_mont_consttime(r, a, p, m, NULL, NULL))
2254 || !TEST_BN_eq_zero(r)
2255 || !TEST_true(BN_mod_exp_mont_word(r, 1, p, m, NULL, NULL))
2256 || !TEST_BN_eq_zero(r)
2257 || !TEST_true(BN_mod_exp_simple(r, a, p, m, NULL))
2258 || !TEST_BN_eq_zero(r)
2259 || !TEST_true(BN_mod_exp_recp(r, a, p, m, NULL))
2260 || !TEST_BN_eq_zero(r))
2261 goto err;
2262 /* Repeat for r = 1 ^ 0 mod -1 */
2263 if (i == 0)
2264 BN_set_negative(m, 1);
2265 }
2266
2267 ret = 1;
fe16ae5f 2268 err:
adf65243
MC		 2269 BN_free(r);
2270 BN_free(a);
2271 BN_free(p);
2272 BN_free(m);
2273 return ret;
2274}
2275
291f616c 2276static int test_smallprime(int kBits)
8ff70f33 2277{
30bea14b 2278 BIGNUM *r;
8d1ebff4 2279 int st = 0;
8ff70f33 2280
291f616c
BE		 2281 if (!TEST_ptr(r = BN_new()))
2282 goto err;
2283
2284 if (kBits <= 1) {
2285 if (!TEST_false(BN_generate_prime_ex(r, kBits, 0,
2286 NULL, NULL, NULL)))
2287 goto err;
2288 } else {
2289 if (!TEST_true(BN_generate_prime_ex(r, kBits, 0,
2290 NULL, NULL, NULL))
2291 || !TEST_int_eq(BN_num_bits(r), kBits))
2292 goto err;
2293 }
2294
2295 st = 1;
2296 err:
2297 BN_free(r);
2298 return st;
2299}
2300
2301static int test_smallsafeprime(int kBits)
2302{
2303 BIGNUM *r;
2304 int st = 0;
2305
2306 if (!TEST_ptr(r = BN_new()))
8d1ebff4 2307 goto err;
8ff70f33 2308
291f616c
BE		 2309 if (kBits <= 5 && kBits != 3) {
2310 if (!TEST_false(BN_generate_prime_ex(r, kBits, 1,
2311 NULL, NULL, NULL)))
2312 goto err;
2313 } else {
2314 if (!TEST_true(BN_generate_prime_ex(r, kBits, 1,
2315 NULL, NULL, NULL))
2316 || !TEST_int_eq(BN_num_bits(r), kBits))
2317 goto err;
2318 }
2319
8d1ebff4 2320 st = 1;
fe16ae5f 2321 err:
8d1ebff4
RS		 2322 BN_free(r);
2323 return st;
2324}
8ff70f33 2325
7d79d13a
SL		 2326static int primes[] = { 2, 3, 5, 7, 17863 };
2327
2328static int test_is_prime(int i)
6e64c560
AL		 2329{
2330 int ret = 0;
30bea14b 2331 BIGNUM *r = NULL;
7d79d13a 2332 int trial;
6e64c560 2333
7d79d13a 2334 if (!TEST_ptr(r = BN_new()))
6e64c560 2335 goto err;
6e64c560 2336
7d79d13a
SL		 2337 for (trial = 0; trial <= 1; ++trial) {
2338 if (!TEST_true(BN_set_word(r, primes[i]))
42619397 2339 || !TEST_int_eq(BN_check_prime(r, ctx, NULL),
7d79d13a
SL		 2340 1))
2341 goto err;
2342 }
2343
6e64c560 2344 ret = 1;
fe16ae5f 2345 err:
7d79d13a
SL		 2346 BN_free(r);
2347 return ret;
2348}
6e64c560 2349
7d79d13a
SL		 2350static int not_primes[] = { -1, 0, 1, 4 };
2351
2352static int test_not_prime(int i)
2353{
2354 int ret = 0;
2355 BIGNUM *r = NULL;
2356 int trial;
2357
2358 if (!TEST_ptr(r = BN_new()))
2359 goto err;
2360
2361 for (trial = 0; trial <= 1; ++trial) {
2362 if (!TEST_true(BN_set_word(r, not_primes[i]))
42619397 2363 || !TEST_false(BN_check_prime(r, ctx, NULL)))
7d79d13a
SL		 2364 goto err;
2365 }
2366
2367 ret = 1;
fe16ae5f 2368 err:
6e64c560
AL		 2369 BN_free(r);
2370 return ret;
2371}
2372
fe16ae5f
NT		 2373static int test_ctx_set_ct_flag(BN_CTX *c)
2374{
2375 int st = 0;
2376 size_t i;
2377 BIGNUM *b[15];
2378
2379 BN_CTX_start(c);
2380 for (i = 0; i < OSSL_NELEM(b); i++) {
2381 if (!TEST_ptr(b[i] = BN_CTX_get(c)))
2382 goto err;
2383 if (i % 2 == 1)
2384 BN_set_flags(b[i], BN_FLG_CONSTTIME);
2385 }
2386
2387 st = 1;
2388 err:
2389 BN_CTX_end(c);
2390 return st;
2391}
2392
2393static int test_ctx_check_ct_flag(BN_CTX *c)
2394{
2395 int st = 0;
2396 size_t i;
2397 BIGNUM *b[30];
2398
2399 BN_CTX_start(c);
2400 for (i = 0; i < OSSL_NELEM(b); i++) {
2401 if (!TEST_ptr(b[i] = BN_CTX_get(c)))
2402 goto err;
2403 if (!TEST_false(BN_get_flags(b[i], BN_FLG_CONSTTIME)))
2404 goto err;
2405 }
2406
2407 st = 1;
2408 err:
2409 BN_CTX_end(c);
2410 return st;
2411}
2412
2413static int test_ctx_consttime_flag(void)
2414{
2415 /*-
2416 * The constant-time flag should not "leak" among BN_CTX frames:
2417 *
2418 * - test_ctx_set_ct_flag() starts a frame in the given BN_CTX and
2419 * sets the BN_FLG_CONSTTIME flag on some of the BIGNUMs obtained
2420 * from the frame before ending it.
2421 * - test_ctx_check_ct_flag() then starts a new frame and gets a
2422 * number of BIGNUMs from it. In absence of leaks, none of the
2423 * BIGNUMs in the new frame should have BN_FLG_CONSTTIME set.
2424 *
2425 * In actual BN_CTX usage inside libcrypto the leak could happen at
2426 * any depth level in the BN_CTX stack, with varying results
2427 * depending on the patterns of sibling trees of nested function
2428 * calls sharing the same BN_CTX object, and the effect of
2429 * unintended BN_FLG_CONSTTIME on the called BN_* functions.
2430 *
2431 * This simple unit test abstracts away this complexity and verifies
2432 * that the leak does not happen between two sibling functions
2433 * sharing the same BN_CTX object at the same level of nesting.
2434 *
2435 */
2436 BN_CTX *nctx = NULL;
2437 BN_CTX *sctx = NULL;
2438 size_t i = 0;
2439 int st = 0;
2440
2441 if (!TEST_ptr(nctx = BN_CTX_new())
2442 || !TEST_ptr(sctx = BN_CTX_secure_new()))
2443 goto err;
2444
2445 for (i = 0; i < 2; i++) {
2446 BN_CTX *c = i == 0 ? nctx : sctx;
2447 if (!TEST_true(test_ctx_set_ct_flag(c))
2448 || !TEST_true(test_ctx_check_ct_flag(c)))
2449 goto err;
2450 }
2451
2452 st = 1;
2453 err:
2454 BN_CTX_free(nctx);
2455 BN_CTX_free(sctx);
2456 return st;
2457}
2458
b75d6310
CPG		 2459static int test_gcd_prime(void)
2460{
2461 BIGNUM *a = NULL, *b = NULL, *gcd = NULL;
2462 int i, st = 0;
2463
2464 if (!TEST_ptr(a = BN_new())
2465 || !TEST_ptr(b = BN_new())
2466 || !TEST_ptr(gcd = BN_new()))
2467 goto err;
2468
2469 if (!TEST_true(BN_generate_prime_ex(a, 1024, 0, NULL, NULL, NULL)))
2470 goto err;
2471 for (i = 0; i < NUM0; i++) {
2472 if (!TEST_true(BN_generate_prime_ex(b, 1024, 0,
2473 NULL, NULL, NULL))
2474 || !TEST_true(BN_gcd(gcd, a, b, ctx))
2475 || !TEST_true(BN_is_one(gcd)))
2476 goto err;
2477 }
2478
2479 st = 1;
2480 err:
2481 BN_free(a);
2482 BN_free(b);
2483 BN_free(gcd);
2484 return st;
2485}
2486
18d42d8d
BE		 2487typedef struct mod_exp_test_st
2488{
2489 const char *base;
2490 const char *exp;
2491 const char *mod;
2492 const char *res;
2493} MOD_EXP_TEST;
2494
2495static const MOD_EXP_TEST ModExpTests[] = {
2496 /* original test vectors for rsaz_512_sqr bug, by OSS-Fuzz */
2497 {
2498 "1166180238001879113042182292626169621106255558914000595999312084"
2499 "4627946820899490684928760491249738643524880720584249698100907201"
2500 "002086675047927600340800371",
2501 "8000000000000000000000000000000000000000000000000000000000000000"
2502 "0000000000000000000000000000000000000000000000000000000000000000"
2503 "00000000",
2504 "1340780792684523720980737645613191762604395855615117867483316354"
2505 "3294276330515137663421134775482798690129946803802212663956180562"
2506 "088664022929883876655300863",
2507 "8243904058268085430037326628480645845409758077568738532059032482"
2508 "8294114415890603594730158120426756266457928475330450251339773498"
2509 "26758407619521544102068438"
2510 },
2511 {
2512 "4974270041410803822078866696159586946995877618987010219312844726"
2513 "0284386121835740784990869050050504348861513337232530490826340663"
2514 "197278031692737429054",
2515 "4974270041410803822078866696159586946995877428188754995041148539"
2516 "1663243362592271353668158565195557417149981094324650322556843202"
2517 "946445882670777892608",
2518 "1340780716511420227215592830971452482815377482627251725537099028"
2519 "4429769497230131760206012644403029349547320953206103351725462999"
2520 "947509743623340557059752191",
2521 "5296244594780707015616522701706118082963369547253192207884519362"
2522 "1767869984947542695665420219028522815539559194793619684334900442"
2523 "49304558011362360473525933"
2524 },
2525 /* test vectors for rsaz_512_srq bug, with rcx/rbx=1 */
2526 { /* between first and second iteration */
2527 "5148719036160389201525610950887605325980251964889646556085286545"
2528 "3931548809178823413169359635978762036512397113080988070677858033"
2529 "36463909753993540214027190",
2530 "6703903964971298549787012499102923063739682910296196688861780721"
2531 "8608820150367734884009371490834517138450159290932430254268769414"
2532 "05973284973216824503042158",
2533 "6703903964971298549787012499102923063739682910296196688861780721"
2534 "8608820150367734884009371490834517138450159290932430254268769414"
2535 "05973284973216824503042159",
2536 "1"
2537 },
2538 { /* between second and third iteration */
2539 "8908340854353752577419678771330460827942371434853054158622636544"
2540 "8151360109722890949471912566649465436296659601091730745087014189"
2541 "2672764191218875181826063",
2542 "6703903964971298549787012499102923063739682910296196688861780721"
2543 "8608820150367734884009371490834517138450159290932430254268769414"
2544 "05973284973216824503042158",
2545 "6703903964971298549787012499102923063739682910296196688861780721"
2546 "8608820150367734884009371490834517138450159290932430254268769414"
2547 "05973284973216824503042159",
2548 "1"
2549 },
2550 { /* between third and fourth iteration */
2551 "3427446396505596330634350984901719674479522569002785244080234738"
2552 "4288743635435746136297299366444548736533053717416735379073185344"
2553 "26985272974404612945608761",
2554 "6703903964971298549787012499102923063739682910296196688861780721"
2555 "8608820150367734884009371490834517138450159290932430254268769414"
2556 "05973284973216824503042158",
2557 "6703903964971298549787012499102923063739682910296196688861780721"
2558 "8608820150367734884009371490834517138450159290932430254268769414"
2559 "05973284973216824503042159",
2560 "1"
2561 },
2562 { /* between fourth and fifth iteration */
2563 "3472743044917564564078857826111874560045331237315597383869652985"
2564 "6919870028890895988478351133601517365908445058405433832718206902"
2565 "4088133164805266956353542",
2566 "6703903964971298549787012499102923063739682910296196688861780721"
2567 "8608820150367734884009371490834517138450159290932430254268769414"
2568 "05973284973216824503042158",
2569 "6703903964971298549787012499102923063739682910296196688861780721"
2570 "8608820150367734884009371490834517138450159290932430254268769414"
2571 "05973284973216824503042159",
2572 "1"
2573 },
2574 { /* between fifth and sixth iteration */
2575 "3608632990153469264412378349742339216742409743898601587274768025"
2576 "0110772032985643555192767717344946174122842255204082586753499651"
2577 "14483434992887431333675068",
2578 "6703903964971298549787012499102923063739682910296196688861780721"
2579 "8608820150367734884009371490834517138450159290932430254268769414"
2580 "05973284973216824503042158",
2581 "6703903964971298549787012499102923063739682910296196688861780721"
2582 "8608820150367734884009371490834517138450159290932430254268769414"
2583 "05973284973216824503042159",
2584 "1"
2585 },
2586 { /* between sixth and seventh iteration */
2587 "8455374370234070242910508226941981520235709767260723212165264877"
2588 "8689064388017521524568434328264431772644802567028663962962025746"
2589 "9283458217850119569539086",
2590 "6703903964971298549787012499102923063739682910296196688861780721"
2591 "8608820150367734884009371490834517138450159290932430254268769414"
2592 "05973284973216824503042158",
2593 "6703903964971298549787012499102923063739682910296196688861780721"
2594 "8608820150367734884009371490834517138450159290932430254268769414"
2595 "05973284973216824503042159",
2596 "1"
2597 },
2598 { /* between seventh and eighth iteration */
2599 "5155371529688532178421209781159131443543419764974688878527112131"
2600 "7446518205609427412336183157918981038066636807317733319323257603"
2601 "04416292040754017461076359",
2602 "1005585594745694782468051874865438459560952436544429503329267108"
2603 "2791323022555160232601405723625177570767523893639864538140315412"
2604 "108959927459825236754563832",
2605 "1005585594745694782468051874865438459560952436544429503329267108"
2606 "2791323022555160232601405723625177570767523893639864538140315412"
2607 "108959927459825236754563833",
2608 "1"
2609 },
2610 /* test vectors for rsaz_512_srq bug, with rcx/rbx=2 */
2611 { /* between first and second iteration */
2612 "3155666506033786929967309937640790361084670559125912405342594979"
2613 "4345142818528956285490897841406338022378565972533508820577760065"
2614 "58494345853302083699912572",
2615 "6703903964971298549787012499102923063739682910296196688861780721"
2616 "8608820150367734884009371490834517138450159290932430254268769414"
2617 "05973284973216824503042158",
2618 "6703903964971298549787012499102923063739682910296196688861780721"
2619 "8608820150367734884009371490834517138450159290932430254268769414"
2620 "05973284973216824503042159",
2621 "1"
2622 },
2623 { /* between second and third iteration */
2624 "3789819583801342198190405714582958759005991915505282362397087750"
2625 "4213544724644823098843135685133927198668818185338794377239590049"
2626 "41019388529192775771488319",
2627 "6703903964971298549787012499102923063739682910296196688861780721"
2628 "8608820150367734884009371490834517138450159290932430254268769414"
2629 "05973284973216824503042158",
2630 "6703903964971298549787012499102923063739682910296196688861780721"
2631 "8608820150367734884009371490834517138450159290932430254268769414"
2632 "05973284973216824503042159",
2633 "1"
2634 },
2635 { /* between third and forth iteration */
2636 "4695752552040706867080542538786056470322165281761525158189220280"
2637 "4025547447667484759200742764246905647644662050122968912279199065"
2638 "48065034299166336940507214",
2639 "6703903964971298549787012499102923063739682910296196688861780721"
2640 "8608820150367734884009371490834517138450159290932430254268769414"
2641 "05973284973216824503042158",
2642 "6703903964971298549787012499102923063739682910296196688861780721"
2643 "8608820150367734884009371490834517138450159290932430254268769414"
2644 "05973284973216824503042159",
2645 "1"
2646 },
2647 { /* between forth and fifth iteration */
2648 "2159140240970485794188159431017382878636879856244045329971239574"
2649 "8919691133560661162828034323196457386059819832804593989740268964"
2650 "74502911811812651475927076",
2651 "6703903964971298549787012499102923063739682910296196688861780721"
2652 "8608820150367734884009371490834517138450159290932430254268769414"
2653 "05973284973216824503042158",
2654 "6703903964971298549787012499102923063739682910296196688861780721"
2655 "8608820150367734884009371490834517138450159290932430254268769414"
2656 "05973284973216824503042159",
2657 "1"
2658 },
2659 { /* between fifth and sixth iteration */
2660 "5239312332984325668414624633307915097111691815000872662334695514"
2661 "5436533521392362443557163429336808208137221322444780490437871903"
2662 "99972784701334569424519255",
2663 "6703903964971298549787012499102923063739682910296196688861780721"
2664 "8608820150367734884009371490834517138450159290932430254268769414"
2665 "05973284973216824503042158",
2666 "6703903964971298549787012499102923063739682910296196688861780721"
2667 "8608820150367734884009371490834517138450159290932430254268769414"
2668 "05973284973216824503042159",
2669 "1"
2670 },
2671 { /* between sixth and seventh iteration */
2672 "1977953647322612860406858017869125467496941904523063466791308891"
2673 "1172796739058531929470539758361774569875505293428856181093904091"
2674 "33788264851714311303725089",
2675 "6703903964971298549787012499102923063739682910296196688861780721"
2676 "8608820150367734884009371490834517138450159290932430254268769414"
2677 "05973284973216824503042158",
2678 "6703903964971298549787012499102923063739682910296196688861780721"
2679 "8608820150367734884009371490834517138450159290932430254268769414"
2680 "05973284973216824503042159",
2681 "1"
2682 },
2683 { /* between seventh and eighth iteration */
2684 "6456987954117763835533395796948878140715006860263624787492985786"
2685 "8514630216966738305923915688821526449499763719943997120302368211"
2686 "04813318117996225041943964",
2687 "1340780792994259709957402499820584612747936582059239337772356144"
2688 "3721764030073546976801874298166903427690031858186486050853753882"
2689 "811946551499689575296532556",
2690 "1340780792994259709957402499820584612747936582059239337772356144"
2691 "3721764030073546976801874298166903427690031858186486050853753882"
2692 "811946551499689575296532557",
2693 "1"
2694 }
2695};
2696
2697static int test_mod_exp(int i)
2698{
2699 const MOD_EXP_TEST *test = &ModExpTests[i];
2700 int res = 0;
2701 BIGNUM* result = NULL;
2702 BIGNUM *base = NULL, *exponent = NULL, *modulo = NULL;
2703 char *s = NULL;
2704
2705 if (!TEST_ptr(result = BN_new())
2706 || !TEST_true(BN_dec2bn(&base, test->base))
2707 || !TEST_true(BN_dec2bn(&exponent, test->exp))
2708 || !TEST_true(BN_dec2bn(&modulo, test->mod)))
2709 goto err;
2710
2711 if (!TEST_int_eq(BN_mod_exp(result, base, exponent, modulo, ctx), 1))
2712 goto err;
2713
2714 if (!TEST_ptr(s = BN_bn2dec(result)))
2715 goto err;
2716
2717 if (!TEST_mem_eq(s, strlen(s), test->res, strlen(test->res)))
2718 goto err;
2719
2720 res = 1;
2721
2722 err:
2723 OPENSSL_free(s);
2724 BN_free(result);
2725 BN_free(base);
2726 BN_free(exponent);
2727 BN_free(modulo);
2728 return res;
2729}
2730
2731static int test_mod_exp_consttime(int i)
2732{
2733 const MOD_EXP_TEST *test = &ModExpTests[i];
2734 int res = 0;
2735 BIGNUM* result = NULL;
2736 BIGNUM *base = NULL, *exponent = NULL, *modulo = NULL;
2737 char *s = NULL;
2738
2739 if (!TEST_ptr(result = BN_new())
2740 || !TEST_true(BN_dec2bn(&base, test->base))
2741 || !TEST_true(BN_dec2bn(&exponent, test->exp))
2742 || !TEST_true(BN_dec2bn(&modulo, test->mod)))
2743 goto err;
2744
2745 BN_set_flags(base, BN_FLG_CONSTTIME);
2746 BN_set_flags(exponent, BN_FLG_CONSTTIME);
2747 BN_set_flags(modulo, BN_FLG_CONSTTIME);
2748
2749 if (!TEST_int_eq(BN_mod_exp(result, base, exponent, modulo, ctx), 1))
2750 goto err;
2751
2752 if (!TEST_ptr(s = BN_bn2dec(result)))
2753 goto err;
2754
2755 if (!TEST_mem_eq(s, strlen(s), test->res, strlen(test->res)))
2756 goto err;
2757
2758 res = 1;
2759
2760 err:
2761 OPENSSL_free(s);
2762 BN_free(result);
2763 BN_free(base);
2764 BN_free(exponent);
2765 BN_free(modulo);
2766 return res;
2767}
2768
8d1ebff4 2769static int file_test_run(STANZA *s)
0f113f3e 2770{
8d1ebff4
RS		 2771 static const FILETEST filetests[] = {
2772 {"Sum", file_sum},
2773 {"LShift1", file_lshift1},
2774 {"LShift", file_lshift},
2775 {"RShift", file_rshift},
2776 {"Square", file_square},
2777 {"Product", file_product},
2778 {"Quotient", file_quotient},
2779 {"ModMul", file_modmul},
2780 {"ModExp", file_modexp},
2781 {"Exp", file_exp},
2782 {"ModSqrt", file_modsqrt},
b75d6310 2783 {"GCD", file_gcd},
8d1ebff4
RS		 2784 };
2785 int numtests = OSSL_NELEM(filetests);
2786 const FILETEST *tp = filetests;
0f113f3e 2787
8d1ebff4 2788 for ( ; --numtests >= 0; tp++) {
30bea14b
RS		 2789 if (findattr(s, tp->name) != NULL) {
2790 if (!tp->func(s)) {
ae269dd8
RS		 2791 TEST_info("%s:%d: Failed %s test",
2792 s->test_file, s->start, tp->name);
30bea14b
RS		 2793 return 0;
2794 }
2795 return 1;
2796 }
0f113f3e 2797 }
ae269dd8 2798 TEST_info("%s:%d: Unknown test", s->test_file, s->start);
8d1ebff4 2799 return 0;
0f113f3e 2800}
d02b48c6 2801
e1cfd184 2802static int run_file_tests(int i)
0f113f3e 2803{
ae269dd8 2804 STANZA *s = NULL;
ad887416 2805 char *testfile = test_get_argument(i);
ae269dd8 2806 int c;
0f113f3e 2807
ae269dd8 2808 if (!TEST_ptr(s = OPENSSL_zalloc(sizeof(*s))))
e1cfd184 2809 return 0;
ad887416 2810 if (!test_start_file(s, testfile)) {
ae269dd8
RS		 2811 OPENSSL_free(s);
2812 return 0;
2813 }
e1cfd184 2814
8d1ebff4 2815 /* Read test file. */
ae269dd8
RS		 2816 while (!BIO_eof(s->fp) && test_readstanza(s)) {
2817 if (s->numpairs == 0)
8d1ebff4 2818 continue;
ae269dd8
RS		 2819 if (!file_test_run(s))
2820 s->errors++;
2821 s->numtests++;
2822 test_clearstanza(s);
0f113f3e 2823 }
ae269dd8
RS		 2824 test_end_file(s);
2825 c = s->errors;
2826 OPENSSL_free(s);
8d1ebff4 2827
ae269dd8 2828 return c == 0;
0f113f3e 2829}
d02b48c6 2830
5d2f3e4a
P		 2831typedef enum OPTION_choice {
2832 OPT_ERR = -1,
2833 OPT_EOF = 0,
2834 OPT_STOCHASTIC_TESTS,
2835 OPT_TEST_ENUM
2836} OPTION_CHOICE;
2837
a43ce58f
SL		 2838const OPTIONS *test_get_options(void)
2839{
a43ce58f
SL		 2840 static const OPTIONS test_options[] = {
2841 OPT_TEST_OPTIONS_WITH_EXTRA_USAGE("[file...]\n"),
5d2f3e4a 2842 { "stochastic", OPT_STOCHASTIC_TESTS, '-', "Run stochastic tests" },
a43ce58f
SL		 2843 { OPT_HELP_STR, 1, '-',
2844 "file\tFile to run tests on. Normal tests are not run\n" },
2845 { NULL }
2846 };
2847 return test_options;
2848}
e1cfd184 2849
ad887416 2850int setup_tests(void)
0f113f3e 2851{
5d2f3e4a
P		 2852 OPTION_CHOICE o;
2853 int n, stochastic = 0;
2854
2855 while ((o = opt_next()) != OPT_EOF) {
2856 switch (o) {
2857 case OPT_STOCHASTIC_TESTS:
2858 stochastic = 1;
2859 break;
2860 case OPT_TEST_CASES:
2861 break;
2862 default:
2863 case OPT_ERR:
dd6b2706 2864 return 0;
5d2f3e4a
P		 2865 }
2866 }
2867 n = test_get_argument_count();
8d1ebff4 2868
e1cfd184 2869 if (!TEST_ptr(ctx = BN_CTX_new()))
ad887416 2870 return 0;
e1cfd184 2871
ad887416 2872 if (n == 0) {
e1cfd184
RS		 2873 ADD_TEST(test_sub);
2874 ADD_TEST(test_div_recip);
2875 ADD_TEST(test_mod);
2876 ADD_TEST(test_modexp_mont5);
2877 ADD_TEST(test_kronecker);
2878 ADD_TEST(test_rand);
2879 ADD_TEST(test_bn2padded);
2880 ADD_TEST(test_dec2bn);
2881 ADD_TEST(test_hex2bn);
2882 ADD_TEST(test_asc2bn);
2883 ADD_ALL_TESTS(test_mpi, (int)OSSL_NELEM(kMPITests));
2884 ADD_TEST(test_negzero);
2885 ADD_TEST(test_badmod);
2886 ADD_TEST(test_expmodzero);
adf65243 2887 ADD_TEST(test_expmodone);
291f616c
BE		 2888 ADD_ALL_TESTS(test_smallprime, 16);
2889 ADD_ALL_TESTS(test_smallsafeprime, 16);
9e5b50b5 2890 ADD_TEST(test_swap);
fe16ae5f 2891 ADD_TEST(test_ctx_consttime_flag);
8d1ebff4 2892#ifndef OPENSSL_NO_EC2M
e1cfd184
RS		 2893 ADD_TEST(test_gf2m_add);
2894 ADD_TEST(test_gf2m_mod);
2895 ADD_TEST(test_gf2m_mul);
2896 ADD_TEST(test_gf2m_sqr);
2897 ADD_TEST(test_gf2m_modinv);
2898 ADD_TEST(test_gf2m_moddiv);
2899 ADD_TEST(test_gf2m_modexp);
2900 ADD_TEST(test_gf2m_modsqrt);
2901 ADD_TEST(test_gf2m_modsolvequad);
8d1ebff4 2902#endif
7d79d13a
SL		 2903 ADD_ALL_TESTS(test_is_prime, (int)OSSL_NELEM(primes));
2904 ADD_ALL_TESTS(test_not_prime, (int)OSSL_NELEM(not_primes));
b75d6310 2905 ADD_TEST(test_gcd_prime);
18d42d8d
BE		 2906 ADD_ALL_TESTS(test_mod_exp, (int)OSSL_NELEM(ModExpTests));
2907 ADD_ALL_TESTS(test_mod_exp_consttime, (int)OSSL_NELEM(ModExpTests));
5d2f3e4a
P		 2908 if (stochastic)
2909 ADD_TEST(test_rand_range);
e1cfd184 2910 } else {
ad887416 2911 ADD_ALL_TESTS(run_file_tests, n);
e1cfd184 2912 }
ad887416
P		 2913 return 1;
2914}
8d1ebff4 2915
ad887416
P		 2916void cleanup_tests(void)
2917{
8d1ebff4 2918 BN_CTX_free(ctx);
0f113f3e 2919}
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