return st;
}
+static int file_gcd(STANZA *s)
+{
+ BIGNUM *a = NULL, *b = NULL, *gcd = NULL, *ret = NULL;
+ int st = 0;
+
+ if (!TEST_ptr(a = getBN(s, "A"))
+ || !TEST_ptr(b = getBN(s, "B"))
+ || !TEST_ptr(gcd = getBN(s, "GCD"))
+ || !TEST_ptr(ret = BN_new()))
+ goto err;
+
+ if (!TEST_true(BN_gcd(ret, a, b, ctx))
+ || !equalBN("gcd(A,B)", gcd, ret))
+ goto err;
+
+ st = 1;
+ err:
+ BN_free(a);
+ BN_free(b);
+ BN_free(gcd);
+ BN_free(ret);
+ return st;
+}
+
static int test_bn2padded(void)
{
#if HAVE_BN_PADDED
/*
* Run some statistical tests to provide a degree confidence that the
- * BN_rand_range() function works as expected. The critical value
- * is computed using the R statistical suite:
+ * BN_rand_range() function works as expected. The test cases and
+ * critical values are generated by the bn_rand_range script.
*
- * qchisq(alpha, df=iterations - 1)
+ * Each individual test is a Chi^2 goodness of fit for a specified number
+ * of samples and range. The samples are assumed to be independent and
+ * that they are from a discrete uniform distribution.
*
- * where alpha is the significance level (0.95 is used here) and iterations
- * is the number of samples being drawn.
+ * Some of these individual tests are expected to fail, the success/failure
+ * of each is an independent Bernoulli trial. The number of such successes
+ * will form a binomial distribution. The count of the successes is compared
+ * against a precomputed critical value to determine the overall outcome.
*/
-static const struct {
+struct rand_range_case {
unsigned int range;
unsigned int iterations;
double critical;
-} rand_range_cases[] = {
- { 2, 100, 123.2252 /* = qchisq(.95, df=99) */ },
- { 12, 1000, 1073.643 /* = qchisq(.95, df=999) */ },
- { 1023, 100000, 100735.7 /* = qchisq(.95, df=99999) */ },
};
-static int test_rand_range(int n)
+#include "bn_rand_range.h"
+
+static int test_rand_range_single(size_t n)
{
const unsigned int range = rand_range_cases[n].range;
const unsigned int iterations = rand_range_cases[n].iterations;
counts[v]++;
}
- TEST_note("range %u iterations %u critical %.4f", range, iterations,
- critical);
- if (range < 20) {
- TEST_note("frequencies (expected %.2f)", expected);
- for (i = 0; i < range; i++)
- TEST_note(" %2u %6zu", i, counts[i]);
- }
for (i = 0; i < range; i++) {
const double delta = counts[i] - expected;
sum += delta * delta;
}
sum /= expected;
- TEST_note("test statistic %.4f", sum);
- if (TEST_double_lt(sum, critical))
- res = 1;
+ if (sum > critical) {
+ TEST_info("Chi^2 test negative %.4f > %4.f", sum, critical);
+ TEST_note("test case %zu range %u iterations %u", n + 1, range,
+ iterations);
+ goto err;
+ }
+
+ res = 1;
err:
BN_free(rng);
BN_free(val);
return res;
}
+static int test_rand_range(void)
+{
+ int n_success = 0;
+ size_t i;
+
+ for (i = 0; i < OSSL_NELEM(rand_range_cases); i++)
+ n_success += test_rand_range_single(i);
+ if (TEST_int_ge(n_success, binomial_critical))
+ return 1;
+ TEST_note("This test is expected to fail by chance 0.01%% of the time.");
+ return 0;
+}
+
static int test_negzero(void)
{
BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
return ret;
}
-static int test_smallprime(void)
+static int test_smallprime(int kBits)
+{
+ BIGNUM *r;
+ int st = 0;
+
+ if (!TEST_ptr(r = BN_new()))
+ goto err;
+
+ if (kBits <= 1) {
+ if (!TEST_false(BN_generate_prime_ex(r, kBits, 0,
+ NULL, NULL, NULL)))
+ goto err;
+ } else {
+ if (!TEST_true(BN_generate_prime_ex(r, kBits, 0,
+ NULL, NULL, NULL))
+ || !TEST_int_eq(BN_num_bits(r), kBits))
+ goto err;
+ }
+
+ st = 1;
+ err:
+ BN_free(r);
+ return st;
+}
+
+static int test_smallsafeprime(int kBits)
{
- static const int kBits = 10;
BIGNUM *r;
int st = 0;
- if (!TEST_ptr(r = BN_new())
- || !TEST_true(BN_generate_prime_ex(r, (int)kBits, 0,
- NULL, NULL, NULL))
- || !TEST_int_eq(BN_num_bits(r), kBits))
+ if (!TEST_ptr(r = BN_new()))
goto err;
+ if (kBits <= 5 && kBits != 3) {
+ if (!TEST_false(BN_generate_prime_ex(r, kBits, 1,
+ NULL, NULL, NULL)))
+ goto err;
+ } else {
+ if (!TEST_true(BN_generate_prime_ex(r, kBits, 1,
+ NULL, NULL, NULL))
+ || !TEST_int_eq(BN_num_bits(r), kBits))
+ goto err;
+ }
+
st = 1;
err:
BN_free(r);
for (trial = 0; trial <= 1; ++trial) {
if (!TEST_true(BN_set_word(r, primes[i]))
- || !TEST_int_eq(BN_is_prime_fasttest_ex(r, 1, ctx, trial, NULL),
+ || !TEST_int_eq(BN_check_prime(r, ctx, NULL),
1))
goto err;
}
for (trial = 0; trial <= 1; ++trial) {
if (!TEST_true(BN_set_word(r, not_primes[i]))
- || !TEST_false(BN_is_prime_fasttest_ex(r, 1, ctx, trial, NULL)))
+ || !TEST_false(BN_check_prime(r, ctx, NULL)))
goto err;
}
return st;
}
+static int test_gcd_prime(void)
+{
+ BIGNUM *a = NULL, *b = NULL, *gcd = NULL;
+ int i, st = 0;
+
+ if (!TEST_ptr(a = BN_new())
+ || !TEST_ptr(b = BN_new())
+ || !TEST_ptr(gcd = BN_new()))
+ goto err;
+
+ if (!TEST_true(BN_generate_prime_ex(a, 1024, 0, NULL, NULL, NULL)))
+ goto err;
+ for (i = 0; i < NUM0; i++) {
+ if (!TEST_true(BN_generate_prime_ex(b, 1024, 0,
+ NULL, NULL, NULL))
+ || !TEST_true(BN_gcd(gcd, a, b, ctx))
+ || !TEST_true(BN_is_one(gcd)))
+ goto err;
+ }
+
+ st = 1;
+ err:
+ BN_free(a);
+ BN_free(b);
+ BN_free(gcd);
+ return st;
+}
+
+typedef struct mod_exp_test_st
+{
+ const char *base;
+ const char *exp;
+ const char *mod;
+ const char *res;
+} MOD_EXP_TEST;
+
+static const MOD_EXP_TEST ModExpTests[] = {
+ /* original test vectors for rsaz_512_sqr bug, by OSS-Fuzz */
+ {
+ "1166180238001879113042182292626169621106255558914000595999312084"
+ "4627946820899490684928760491249738643524880720584249698100907201"
+ "002086675047927600340800371",
+ "8000000000000000000000000000000000000000000000000000000000000000"
+ "0000000000000000000000000000000000000000000000000000000000000000"
+ "00000000",
+ "1340780792684523720980737645613191762604395855615117867483316354"
+ "3294276330515137663421134775482798690129946803802212663956180562"
+ "088664022929883876655300863",
+ "8243904058268085430037326628480645845409758077568738532059032482"
+ "8294114415890603594730158120426756266457928475330450251339773498"
+ "26758407619521544102068438"
+ },
+ {
+ "4974270041410803822078866696159586946995877618987010219312844726"
+ "0284386121835740784990869050050504348861513337232530490826340663"
+ "197278031692737429054",
+ "4974270041410803822078866696159586946995877428188754995041148539"
+ "1663243362592271353668158565195557417149981094324650322556843202"
+ "946445882670777892608",
+ "1340780716511420227215592830971452482815377482627251725537099028"
+ "4429769497230131760206012644403029349547320953206103351725462999"
+ "947509743623340557059752191",
+ "5296244594780707015616522701706118082963369547253192207884519362"
+ "1767869984947542695665420219028522815539559194793619684334900442"
+ "49304558011362360473525933"
+ },
+ /* test vectors for rsaz_512_srq bug, with rcx/rbx=1 */
+ { /* between first and second iteration */
+ "5148719036160389201525610950887605325980251964889646556085286545"
+ "3931548809178823413169359635978762036512397113080988070677858033"
+ "36463909753993540214027190",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between second and third iteration */
+ "8908340854353752577419678771330460827942371434853054158622636544"
+ "8151360109722890949471912566649465436296659601091730745087014189"
+ "2672764191218875181826063",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between third and fourth iteration */
+ "3427446396505596330634350984901719674479522569002785244080234738"
+ "4288743635435746136297299366444548736533053717416735379073185344"
+ "26985272974404612945608761",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between fourth and fifth iteration */
+ "3472743044917564564078857826111874560045331237315597383869652985"
+ "6919870028890895988478351133601517365908445058405433832718206902"
+ "4088133164805266956353542",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between fifth and sixth iteration */
+ "3608632990153469264412378349742339216742409743898601587274768025"
+ "0110772032985643555192767717344946174122842255204082586753499651"
+ "14483434992887431333675068",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between sixth and seventh iteration */
+ "8455374370234070242910508226941981520235709767260723212165264877"
+ "8689064388017521524568434328264431772644802567028663962962025746"
+ "9283458217850119569539086",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between seventh and eighth iteration */
+ "5155371529688532178421209781159131443543419764974688878527112131"
+ "7446518205609427412336183157918981038066636807317733319323257603"
+ "04416292040754017461076359",
+ "1005585594745694782468051874865438459560952436544429503329267108"
+ "2791323022555160232601405723625177570767523893639864538140315412"
+ "108959927459825236754563832",
+ "1005585594745694782468051874865438459560952436544429503329267108"
+ "2791323022555160232601405723625177570767523893639864538140315412"
+ "108959927459825236754563833",
+ "1"
+ },
+ /* test vectors for rsaz_512_srq bug, with rcx/rbx=2 */
+ { /* between first and second iteration */
+ "3155666506033786929967309937640790361084670559125912405342594979"
+ "4345142818528956285490897841406338022378565972533508820577760065"
+ "58494345853302083699912572",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between second and third iteration */
+ "3789819583801342198190405714582958759005991915505282362397087750"
+ "4213544724644823098843135685133927198668818185338794377239590049"
+ "41019388529192775771488319",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between third and forth iteration */
+ "4695752552040706867080542538786056470322165281761525158189220280"
+ "4025547447667484759200742764246905647644662050122968912279199065"
+ "48065034299166336940507214",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between forth and fifth iteration */
+ "2159140240970485794188159431017382878636879856244045329971239574"
+ "8919691133560661162828034323196457386059819832804593989740268964"
+ "74502911811812651475927076",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between fifth and sixth iteration */
+ "5239312332984325668414624633307915097111691815000872662334695514"
+ "5436533521392362443557163429336808208137221322444780490437871903"
+ "99972784701334569424519255",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between sixth and seventh iteration */
+ "1977953647322612860406858017869125467496941904523063466791308891"
+ "1172796739058531929470539758361774569875505293428856181093904091"
+ "33788264851714311303725089",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042158",
+ "6703903964971298549787012499102923063739682910296196688861780721"
+ "8608820150367734884009371490834517138450159290932430254268769414"
+ "05973284973216824503042159",
+ "1"
+ },
+ { /* between seventh and eighth iteration */
+ "6456987954117763835533395796948878140715006860263624787492985786"
+ "8514630216966738305923915688821526449499763719943997120302368211"
+ "04813318117996225041943964",
+ "1340780792994259709957402499820584612747936582059239337772356144"
+ "3721764030073546976801874298166903427690031858186486050853753882"
+ "811946551499689575296532556",
+ "1340780792994259709957402499820584612747936582059239337772356144"
+ "3721764030073546976801874298166903427690031858186486050853753882"
+ "811946551499689575296532557",
+ "1"
+ }
+};
+
+static int test_mod_exp(int i)
+{
+ const MOD_EXP_TEST *test = &ModExpTests[i];
+ int res = 0;
+ BIGNUM* result = NULL;
+ BIGNUM *base = NULL, *exponent = NULL, *modulo = NULL;
+ char *s = NULL;
+
+ if (!TEST_ptr(result = BN_new())
+ || !TEST_true(BN_dec2bn(&base, test->base))
+ || !TEST_true(BN_dec2bn(&exponent, test->exp))
+ || !TEST_true(BN_dec2bn(&modulo, test->mod)))
+ goto err;
+
+ if (!TEST_int_eq(BN_mod_exp(result, base, exponent, modulo, ctx), 1))
+ goto err;
+
+ if (!TEST_ptr(s = BN_bn2dec(result)))
+ goto err;
+
+ if (!TEST_mem_eq(s, strlen(s), test->res, strlen(test->res)))
+ goto err;
+
+ res = 1;
+
+ err:
+ OPENSSL_free(s);
+ BN_free(result);
+ BN_free(base);
+ BN_free(exponent);
+ BN_free(modulo);
+ return res;
+}
+
+static int test_mod_exp_consttime(int i)
+{
+ const MOD_EXP_TEST *test = &ModExpTests[i];
+ int res = 0;
+ BIGNUM* result = NULL;
+ BIGNUM *base = NULL, *exponent = NULL, *modulo = NULL;
+ char *s = NULL;
+
+ if (!TEST_ptr(result = BN_new())
+ || !TEST_true(BN_dec2bn(&base, test->base))
+ || !TEST_true(BN_dec2bn(&exponent, test->exp))
+ || !TEST_true(BN_dec2bn(&modulo, test->mod)))
+ goto err;
+
+ BN_set_flags(base, BN_FLG_CONSTTIME);
+ BN_set_flags(exponent, BN_FLG_CONSTTIME);
+ BN_set_flags(modulo, BN_FLG_CONSTTIME);
+
+ if (!TEST_int_eq(BN_mod_exp(result, base, exponent, modulo, ctx), 1))
+ goto err;
+
+ if (!TEST_ptr(s = BN_bn2dec(result)))
+ goto err;
+
+ if (!TEST_mem_eq(s, strlen(s), test->res, strlen(test->res)))
+ goto err;
+
+ res = 1;
+
+ err:
+ OPENSSL_free(s);
+ BN_free(result);
+ BN_free(base);
+ BN_free(exponent);
+ BN_free(modulo);
+ return res;
+}
+
static int file_test_run(STANZA *s)
{
static const FILETEST filetests[] = {
{"ModExp", file_modexp},
{"Exp", file_exp},
{"ModSqrt", file_modsqrt},
+ {"GCD", file_gcd},
};
int numtests = OSSL_NELEM(filetests);
const FILETEST *tp = filetests;
return c == 0;
}
+typedef enum OPTION_choice {
+ OPT_ERR = -1,
+ OPT_EOF = 0,
+ OPT_STOCHASTIC_TESTS,
+ OPT_TEST_ENUM
+} OPTION_CHOICE;
+
const OPTIONS *test_get_options(void)
{
- enum { OPT_TEST_ENUM };
static const OPTIONS test_options[] = {
OPT_TEST_OPTIONS_WITH_EXTRA_USAGE("[file...]\n"),
+ { "stochastic", OPT_STOCHASTIC_TESTS, '-', "Run stochastic tests" },
{ OPT_HELP_STR, 1, '-',
"file\tFile to run tests on. Normal tests are not run\n" },
{ NULL }
int setup_tests(void)
{
- int n = test_get_argument_count();
+ OPTION_CHOICE o;
+ int n, stochastic = 0;
+
+ while ((o = opt_next()) != OPT_EOF) {
+ switch (o) {
+ case OPT_STOCHASTIC_TESTS:
+ stochastic = 1;
+ break;
+ case OPT_TEST_CASES:
+ break;
+ default:
+ case OPT_ERR:
+ return 0;
+ }
+ }
+ n = test_get_argument_count();
if (!TEST_ptr(ctx = BN_CTX_new()))
return 0;
ADD_TEST(test_badmod);
ADD_TEST(test_expmodzero);
ADD_TEST(test_expmodone);
- ADD_TEST(test_smallprime);
+ ADD_ALL_TESTS(test_smallprime, 16);
+ ADD_ALL_TESTS(test_smallsafeprime, 16);
ADD_TEST(test_swap);
ADD_TEST(test_ctx_consttime_flag);
#ifndef OPENSSL_NO_EC2M
#endif
ADD_ALL_TESTS(test_is_prime, (int)OSSL_NELEM(primes));
ADD_ALL_TESTS(test_not_prime, (int)OSSL_NELEM(not_primes));
- ADD_ALL_TESTS(test_rand_range, OSSL_NELEM(rand_range_cases));
+ ADD_TEST(test_gcd_prime);
+ ADD_ALL_TESTS(test_mod_exp, (int)OSSL_NELEM(ModExpTests));
+ ADD_ALL_TESTS(test_mod_exp_consttime, (int)OSSL_NELEM(ModExpTests));
+ if (stochastic)
+ ADD_TEST(test_rand_range);
} else {
ADD_ALL_TESTS(run_file_tests, n);
}
projects / openssl.git / blobdiff