random32: add test cases for taus113 implementation

We generated a battery of 100 test cases from GSL taus113 implemention
and compare the results from a particular seed and a particular
iteration with our implementation in the kernel. We have verified on
32 and 64 bit machines that our taus113 kernel implementation gives
same results as GSL taus113 implementation:

  [    0.147370] prandom: seed boundary self test passed
  [    0.148078] prandom: 100 self tests passed

This is a Kconfig option that is disabled on default, just like the
crc32 init selftests in order to not unnecessary slow down boot process.
We also refactored out prandom_seed_very_weak() as it's now used in
multiple places in order to reduce redundant code.

GSL code we used for generating test cases:

  int i, j;
  srand(time(NULL));
  for (i = 0; i < 100; ++i) {
    int iteration = 500 + (rand() % 500);
    gsl_rng_default_seed = rand() + 1;
    gsl_rng *r = gsl_rng_alloc(gsl_rng_taus113);
    printf("\t{ %lu, ", gsl_rng_default_seed);
    for (j = 0; j < iteration - 1; ++j)
      gsl_rng_get(r);
    printf("%u, %lu },\n", iteration, gsl_rng_get(r));
    gsl_rng_free(r);
  }

Joint work with Hannes Frederic Sowa.

Cc: Florian Weimer <fweimer@redhat.com>
Cc: Theodore Ts'o <tytso@mit.edu>
Signed-off-by: NDaniel Borkmann <dborkman@redhat.com>
Signed-off-by: NHannes Frederic Sowa <hannes@stressinduktion.org>
Signed-off-by: NDavid S. Miller <davem@davemloft.net>

lib/Kconfig

@@ -189,6 +189,13 @@ config AUDIT_GENERIC
 	depends on AUDIT && !AUDIT_ARCH
 	default y
 
+config RANDOM32_SELFTEST
+	bool "PRNG perform self test on init"
+	default n
+	help
+	  This option enables the 32 bit PRNG library functions to perform a
+	  self test on initialization.
+
 #
 # compression support is select'ed if needed
 #

lib/random32.c

@@ -38,6 +38,11 @@
 #include <linux/export.h>
 #include <linux/jiffies.h>
 #include <linux/random.h>
+#include <linux/sched.h>
+
+#ifdef CONFIG_RANDOM32_SELFTEST
+static void __init prandom_state_selftest(void);
+#endif
 
 static DEFINE_PER_CPU(struct rnd_state, net_rand_state);
 
@@ -142,6 +147,23 @@ static void prandom_warmup(struct rnd_state *state)
 	prandom_u32_state(state);
 }
 
+static void prandom_seed_very_weak(struct rnd_state *state, u32 seed)
+{
+	/* Note: This sort of seeding is ONLY used in test cases and
+	 * during boot at the time from core_initcall until late_initcall
+	 * as we don't have a stronger entropy source available yet.
+	 * After late_initcall, we reseed entire state, we have to (!),
+	 * otherwise an attacker just needs to search 32 bit space to
+	 * probe for our internal 128 bit state if he knows a couple
+	 * of prandom32 outputs!
+	 */
+#define LCG(x)	((x) * 69069U)	/* super-duper LCG */
+	state->s1 = __seed(LCG(seed),        2U);
+	state->s2 = __seed(LCG(state->s1),   8U);
+	state->s3 = __seed(LCG(state->s2),  16U);
+	state->s4 = __seed(LCG(state->s3), 128U);
+}
+
 /**
  *	prandom_seed - add entropy to pseudo random number generator
  *	@seed: seed value
@@ -172,15 +194,14 @@ static int __init prandom_init(void)
 {
 	int i;
 
+#ifdef CONFIG_RANDOM32_SELFTEST
+	prandom_state_selftest();
+#endif
+
 	for_each_possible_cpu(i) {
 		struct rnd_state *state = &per_cpu(net_rand_state,i);
 
-#define LCG(x)	((x) * 69069U)	/* super-duper LCG */
-		state->s1 = __seed(LCG((i + jiffies) ^ random_get_entropy()), 2U);
-		state->s2 = __seed(LCG(state->s1),   8U);
-		state->s3 = __seed(LCG(state->s2),  16U);
-		state->s4 = __seed(LCG(state->s3), 128U);
-
+		prandom_seed_very_weak(state, (i + jiffies) ^ random_get_entropy());
 		prandom_warmup(state);
 	}
 	return 0;
@@ -253,3 +274,165 @@ static int __init prandom_reseed(void)
 	return 0;
 }
 late_initcall(prandom_reseed);
+
+#ifdef CONFIG_RANDOM32_SELFTEST
+static struct prandom_test1 {
+	u32 seed;
+	u32 result;
+} test1[] = {
+	{ 1U, 3484351685U },
+	{ 2U, 2623130059U },
+	{ 3U, 3125133893U },
+	{ 4U,  984847254U },
+};
+
+static struct prandom_test2 {
+	u32 seed;
+	u32 iteration;
+	u32 result;
+} test2[] = {
+	/* Test cases against taus113 from GSL library. */
+	{  931557656U, 959U, 2975593782U },
+	{ 1339693295U, 876U, 3887776532U },
+	{ 1545556285U, 961U, 1615538833U },
+	{  601730776U, 723U, 1776162651U },
+	{ 1027516047U, 687U,  511983079U },
+	{  416526298U, 700U,  916156552U },
+	{ 1395522032U, 652U, 2222063676U },
+	{  366221443U, 617U, 2992857763U },
+	{ 1539836965U, 714U, 3783265725U },
+	{  556206671U, 994U,  799626459U },
+	{  684907218U, 799U,  367789491U },
+	{ 2121230701U, 931U, 2115467001U },
+	{ 1668516451U, 644U, 3620590685U },
+	{  768046066U, 883U, 2034077390U },
+	{ 1989159136U, 833U, 1195767305U },
+	{  536585145U, 996U, 3577259204U },
+	{ 1008129373U, 642U, 1478080776U },
+	{ 1740775604U, 939U, 1264980372U },
+	{ 1967883163U, 508U,   10734624U },
+	{ 1923019697U, 730U, 3821419629U },
+	{  442079932U, 560U, 3440032343U },
+	{ 1961302714U, 845U,  841962572U },
+	{ 2030205964U, 962U, 1325144227U },
+	{ 1160407529U, 507U,  240940858U },
+	{  635482502U, 779U, 4200489746U },
+	{ 1252788931U, 699U,  867195434U },
+	{ 1961817131U, 719U,  668237657U },
+	{ 1071468216U, 983U,  917876630U },
+	{ 1281848367U, 932U, 1003100039U },
+	{  582537119U, 780U, 1127273778U },
+	{ 1973672777U, 853U, 1071368872U },
+	{ 1896756996U, 762U, 1127851055U },
+	{  847917054U, 500U, 1717499075U },
+	{ 1240520510U, 951U, 2849576657U },
+	{ 1685071682U, 567U, 1961810396U },
+	{ 1516232129U, 557U,    3173877U },
+	{ 1208118903U, 612U, 1613145022U },
+	{ 1817269927U, 693U, 4279122573U },
+	{ 1510091701U, 717U,  638191229U },
+	{  365916850U, 807U,  600424314U },
+	{  399324359U, 702U, 1803598116U },
+	{ 1318480274U, 779U, 2074237022U },
+	{  697758115U, 840U, 1483639402U },
+	{ 1696507773U, 840U,  577415447U },
+	{ 2081979121U, 981U, 3041486449U },
+	{  955646687U, 742U, 3846494357U },
+	{ 1250683506U, 749U,  836419859U },
+	{  595003102U, 534U,  366794109U },
+	{   47485338U, 558U, 3521120834U },
+	{  619433479U, 610U, 3991783875U },
+	{  704096520U, 518U, 4139493852U },
+	{ 1712224984U, 606U, 2393312003U },
+	{ 1318233152U, 922U, 3880361134U },
+	{  855572992U, 761U, 1472974787U },
+	{   64721421U, 703U,  683860550U },
+	{  678931758U, 840U,  380616043U },
+	{  692711973U, 778U, 1382361947U },
+	{  677703619U, 530U, 2826914161U },
+	{   92393223U, 586U, 1522128471U },
+	{ 1222592920U, 743U, 3466726667U },
+	{  358288986U, 695U, 1091956998U },
+	{ 1935056945U, 958U,  514864477U },
+	{  735675993U, 990U, 1294239989U },
+	{ 1560089402U, 897U, 2238551287U },
+	{   70616361U, 829U,   22483098U },
+	{  368234700U, 731U, 2913875084U },
+	{   20221190U, 879U, 1564152970U },
+	{  539444654U, 682U, 1835141259U },
+	{ 1314987297U, 840U, 1801114136U },
+	{ 2019295544U, 645U, 3286438930U },
+	{  469023838U, 716U, 1637918202U },
+	{ 1843754496U, 653U, 2562092152U },
+	{  400672036U, 809U, 4264212785U },
+	{  404722249U, 965U, 2704116999U },
+	{  600702209U, 758U,  584979986U },
+	{  519953954U, 667U, 2574436237U },
+	{ 1658071126U, 694U, 2214569490U },
+	{  420480037U, 749U, 3430010866U },
+	{  690103647U, 969U, 3700758083U },
+	{ 1029424799U, 937U, 3787746841U },
+	{ 2012608669U, 506U, 3362628973U },
+	{ 1535432887U, 998U,   42610943U },
+	{ 1330635533U, 857U, 3040806504U },
+	{ 1223800550U, 539U, 3954229517U },
+	{ 1322411537U, 680U, 3223250324U },
+	{ 1877847898U, 945U, 2915147143U },
+	{ 1646356099U, 874U,  965988280U },
+	{  805687536U, 744U, 4032277920U },
+	{ 1948093210U, 633U, 1346597684U },
+	{  392609744U, 783U, 1636083295U },
+	{  690241304U, 770U, 1201031298U },
+	{ 1360302965U, 696U, 1665394461U },
+	{ 1220090946U, 780U, 1316922812U },
+	{  447092251U, 500U, 3438743375U },
+	{ 1613868791U, 592U,  828546883U },
+	{  523430951U, 548U, 2552392304U },
+	{  726692899U, 810U, 1656872867U },
+	{ 1364340021U, 836U, 3710513486U },
+	{ 1986257729U, 931U,  935013962U },
+	{  407983964U, 921U,  728767059U },
+};
+
+static void __init prandom_state_selftest(void)
+{
+	int i, j, errors = 0, runs = 0;
+	bool error = false;
+
+	for (i = 0; i < ARRAY_SIZE(test1); i++) {
+		struct rnd_state state;
+
+		prandom_seed_very_weak(&state, test1[i].seed);
+		prandom_warmup(&state);
+
+		if (test1[i].result != prandom_u32_state(&state))
+			error = true;
+	}
+
+	if (error)
+		pr_warn("prandom: seed boundary self test failed\n");
+	else
+		pr_info("prandom: seed boundary self test passed\n");
+
+	for (i = 0; i < ARRAY_SIZE(test2); i++) {
+		struct rnd_state state;
+
+		prandom_seed_very_weak(&state, test2[i].seed);
+		prandom_warmup(&state);
+
+		for (j = 0; j < test2[i].iteration - 1; j++)
+			prandom_u32_state(&state);
+
+		if (test2[i].result != prandom_u32_state(&state))
+			errors++;
+
+		runs++;
+		cond_resched();
+	}
+
+	if (errors)
+		pr_warn("prandom: %d/%d self tests failed\n", errors, runs);
+	else
+		pr_info("prandom: %d self tests passed\n", runs);
+}
+#endif