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/*
* Non-physical true random number generator based on timing jitter --
* Jitter RNG standalone code.
*
* Copyright Stephan Mueller <smueller@chronox.de>, 2015 - 2023
*
* Design
* ======
*
* See https://www.chronox.de/jent.html
*
* License
* =======
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, and the entire permission notice in its entirety,
* including the disclaimer of warranties.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. The name of the author may not be used to endorse or promote
* products derived from this software without specific prior
* written permission.
*
* ALTERNATIVELY, this product may be distributed under the terms of
* the GNU General Public License, in which case the provisions of the GPL2 are
* required INSTEAD OF the above restrictions. (This clause is
* necessary due to a potential bad interaction between the GPL and
* the restrictions contained in a BSD-style copyright.)
*
* THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESS OR IMPLIED
* WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ALL OF
* WHICH ARE HEREBY DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE
* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT
* OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
* USE OF THIS SOFTWARE, EVEN IF NOT ADVISED OF THE POSSIBILITY OF SUCH
* DAMAGE.
*/
/*
* This Jitterentropy RNG is based on the jitterentropy library
* version 3.4.0 provided at https://www.chronox.de/jent.html
*/
#ifdef __OPTIMIZE__
#error "The CPU Jitter random number generator must not be compiled with optimizations. See documentation. Use the compiler switch -O0 for compiling jitterentropy.c."
#endif
typedef unsigned long long __u64;
typedef long long __s64;
typedef unsigned int __u32;
typedef unsigned char u8;
#define NULL ((void *) 0)
/* The entropy pool */
struct rand_data {
/* SHA3-256 is used as conditioner */
#define DATA_SIZE_BITS 256
/* all data values that are vital to maintain the security
* of the RNG are marked as SENSITIVE. A user must not
* access that information while the RNG executes its loops to
* calculate the next random value. */
void *hash_state; /* SENSITIVE hash state entropy pool */
__u64 prev_time; /* SENSITIVE Previous time stamp */
__u64 last_delta; /* SENSITIVE stuck test */
__s64 last_delta2; /* SENSITIVE stuck test */
unsigned int osr; /* Oversample rate */
#define JENT_MEMORY_BLOCKS 64
#define JENT_MEMORY_BLOCKSIZE 32
#define JENT_MEMORY_ACCESSLOOPS 128
#define JENT_MEMORY_SIZE (JENT_MEMORY_BLOCKS*JENT_MEMORY_BLOCKSIZE)
unsigned char *mem; /* Memory access location with size of
* memblocks * memblocksize */
unsigned int memlocation; /* Pointer to byte in *mem */
unsigned int memblocks; /* Number of memory blocks in *mem */
unsigned int memblocksize; /* Size of one memory block in bytes */
unsigned int memaccessloops; /* Number of memory accesses per random
* bit generation */
/* Repetition Count Test */
unsigned int rct_count; /* Number of stuck values */
/* Intermittent health test failure threshold of 2^-30 */
#define JENT_RCT_CUTOFF 30 /* Taken from SP800-90B sec 4.4.1 */
#define JENT_APT_CUTOFF 325 /* Taken from SP800-90B sec 4.4.2 */
/* Permanent health test failure threshold of 2^-60 */
#define JENT_RCT_CUTOFF_PERMANENT 60
#define JENT_APT_CUTOFF_PERMANENT 355
#define JENT_APT_WINDOW_SIZE 512 /* Data window size */
/* LSB of time stamp to process */
#define JENT_APT_LSB 16
#define JENT_APT_WORD_MASK (JENT_APT_LSB - 1)
unsigned int apt_observations; /* Number of collected observations */
unsigned int apt_count; /* APT counter */
unsigned int apt_base; /* APT base reference */
unsigned int apt_base_set:1; /* APT base reference set? */
};
/* Flags that can be used to initialize the RNG */
#define JENT_DISABLE_MEMORY_ACCESS (1<<2) /* Disable memory access for more
* entropy, saves MEMORY_SIZE RAM for
* entropy collector */
/* -- error codes for init function -- */
#define JENT_ENOTIME 1 /* Timer service not available */
#define JENT_ECOARSETIME 2 /* Timer too coarse for RNG */
#define JENT_ENOMONOTONIC 3 /* Timer is not monotonic increasing */
#define JENT_EVARVAR 5 /* Timer does not produce variations of
* variations (2nd derivation of time is
* zero). */
#define JENT_ESTUCK 8 /* Too many stuck results during init. */
#define JENT_EHEALTH 9 /* Health test failed during initialization */
/*
* The output n bits can receive more than n bits of min entropy, of course,
* but the fixed output of the conditioning function can only asymptotically
* approach the output size bits of min entropy, not attain that bound. Random
* maps will tend to have output collisions, which reduces the creditable
* output entropy (that is what SP 800-90B Section 3.1.5.1.2 attempts to bound).
*
* The value "64" is justified in Appendix A.4 of the current 90C draft,
* and aligns with NIST's in "epsilon" definition in this document, which is
* that a string can be considered "full entropy" if you can bound the min
* entropy in each bit of output to at least 1-epsilon, where epsilon is
* required to be <= 2^(-32).
*/
#define JENT_ENTROPY_SAFETY_FACTOR 64
#include <linux/fips.h>
#include "jitterentropy.h"
/***************************************************************************
* Adaptive Proportion Test
*
* This test complies with SP800-90B section 4.4.2.
***************************************************************************/
/*
* Reset the APT counter
*
* @ec [in] Reference to entropy collector
*/
static void jent_apt_reset(struct rand_data *ec, unsigned int delta_masked)
{
/* Reset APT counter */
ec->apt_count = 0;
ec->apt_base = delta_masked;
ec->apt_observations = 0;
}
/*
* Insert a new entropy event into APT
*
* @ec [in] Reference to entropy collector
* @delta_masked [in] Masked time delta to process
*/
static void jent_apt_insert(struct rand_data *ec, unsigned int delta_masked)
{
/* Initialize the base reference */
if (!ec->apt_base_set) {
ec->apt_base = delta_masked;
ec->apt_base_set = 1;
return;
}
if (delta_masked == ec->apt_base)
ec->apt_count++;
ec->apt_observations++;
if (ec->apt_observations >= JENT_APT_WINDOW_SIZE)
jent_apt_reset(ec, delta_masked);
}
/* APT health test failure detection */
static int jent_apt_permanent_failure(struct rand_data *ec)
{
return (ec->apt_count >= JENT_APT_CUTOFF_PERMANENT) ? 1 : 0;
}
static int jent_apt_failure(struct rand_data *ec)
{
return (ec->apt_count >= JENT_APT_CUTOFF) ? 1 : 0;
}
/***************************************************************************
* Stuck Test and its use as Repetition Count Test
*
* The Jitter RNG uses an enhanced version of the Repetition Count Test
* (RCT) specified in SP800-90B section 4.4.1. Instead of counting identical
* back-to-back values, the input to the RCT is the counting of the stuck
* values during the generation of one Jitter RNG output block.
*
* The RCT is applied with an alpha of 2^{-30} compliant to FIPS 140-2 IG 9.8.
*
* During the counting operation, the Jitter RNG always calculates the RCT
* cut-off value of C. If that value exceeds the allowed cut-off value,
* the Jitter RNG output block will be calculated completely but discarded at
* the end. The caller of the Jitter RNG is informed with an error code.
***************************************************************************/
/*
* Repetition Count Test as defined in SP800-90B section 4.4.1
*
* @ec [in] Reference to entropy collector
* @stuck [in] Indicator whether the value is stuck
*/
static void jent_rct_insert(struct rand_data *ec, int stuck)
{
if (stuck) {
ec->rct_count++;
} else {
/* Reset RCT */
ec->rct_count = 0;
}
}
static inline __u64 jent_delta(__u64 prev, __u64 next)
{
#define JENT_UINT64_MAX (__u64)(~((__u64) 0))
return (prev < next) ? (next - prev) :
(JENT_UINT64_MAX - prev + 1 + next);
}
/*
* Stuck test by checking the:
* 1st derivative of the jitter measurement (time delta)
* 2nd derivative of the jitter measurement (delta of time deltas)
* 3rd derivative of the jitter measurement (delta of delta of time deltas)
*
* All values must always be non-zero.
*
* @ec [in] Reference to entropy collector
* @current_delta [in] Jitter time delta
*
* @return
* 0 jitter measurement not stuck (good bit)
* 1 jitter measurement stuck (reject bit)
*/
static int jent_stuck(struct rand_data *ec, __u64 current_delta)
{
__u64 delta2 = jent_delta(ec->last_delta, current_delta);
__u64 delta3 = jent_delta(ec->last_delta2, delta2);
ec->last_delta = current_delta;
ec->last_delta2 = delta2;
/*
* Insert the result of the comparison of two back-to-back time
* deltas.
*/
jent_apt_insert(ec, current_delta);
if (!current_delta || !delta2 || !delta3) {
/* RCT with a stuck bit */
jent_rct_insert(ec, 1);
return 1;
}
/* RCT with a non-stuck bit */
jent_rct_insert(ec, 0);
return 0;
}
/* RCT health test failure detection */
static int jent_rct_permanent_failure(struct rand_data *ec)
{
return (ec->rct_count >= JENT_RCT_CUTOFF_PERMANENT) ? 1 : 0;
}
static int jent_rct_failure(struct rand_data *ec)
{
return (ec->rct_count >= JENT_RCT_CUTOFF) ? 1 : 0;
}
/* Report of health test failures */
static int jent_health_failure(struct rand_data *ec)
{
return jent_rct_failure(ec) | jent_apt_failure(ec);
}
static int jent_permanent_health_failure(struct rand_data *ec)
{
return jent_rct_permanent_failure(ec) | jent_apt_permanent_failure(ec);
}
/***************************************************************************
* Noise sources
***************************************************************************/
/*
* Update of the loop count used for the next round of
* an entropy collection.
*
* Input:
* @bits is the number of low bits of the timer to consider
* @min is the number of bits we shift the timer value to the right at
* the end to make sure we have a guaranteed minimum value
*
* @return Newly calculated loop counter
*/
static __u64 jent_loop_shuffle(unsigned int bits, unsigned int min)
{
__u64 time = 0;
__u64 shuffle = 0;
unsigned int i = 0;
unsigned int mask = (1<<bits) - 1;
jent_get_nstime(&time);
/*
* We fold the time value as much as possible to ensure that as many
* bits of the time stamp are included as possible.
*/
for (i = 0; ((DATA_SIZE_BITS + bits - 1) / bits) > i; i++) {
shuffle ^= time & mask;
time = time >> bits;
}
/*
* We add a lower boundary value to ensure we have a minimum
* RNG loop count.
*/
return (shuffle + (1<<min));
}
/*
* CPU Jitter noise source -- this is the noise source based on the CPU
* execution time jitter
*
* This function injects the individual bits of the time value into the
* entropy pool using a hash.
*
* ec [in] entropy collector
* time [in] time stamp to be injected
* stuck [in] Is the time stamp identified as stuck?
*
* Output:
* updated hash context in the entropy collector or error code
*/
static int jent_condition_data(struct rand_data *ec, __u64 time, int stuck)
{
#define SHA3_HASH_LOOP (1<<3)
struct {
int rct_count;
unsigned int apt_observations;
unsigned int apt_count;
unsigned int apt_base;
} addtl = {
ec->rct_count,
ec->apt_observations,
ec->apt_count,
ec->apt_base
};
return jent_hash_time(ec->hash_state, time, (u8 *)&addtl, sizeof(addtl),
SHA3_HASH_LOOP, stuck);
}
/*
* Memory Access noise source -- this is a noise source based on variations in
* memory access times
*
* This function performs memory accesses which will add to the timing
* variations due to an unknown amount of CPU wait states that need to be
* added when accessing memory. The memory size should be larger than the L1
* caches as outlined in the documentation and the associated testing.
*
* The L1 cache has a very high bandwidth, albeit its access rate is usually
* slower than accessing CPU registers. Therefore, L1 accesses only add minimal
* variations as the CPU has hardly to wait. Starting with L2, significant
* variations are added because L2 typically does not belong to the CPU any more
* and therefore a wider range of CPU wait states is necessary for accesses.
* L3 and real memory accesses have even a wider range of wait states. However,
* to reliably access either L3 or memory, the ec->mem memory must be quite
* large which is usually not desirable.
*
* @ec [in] Reference to the entropy collector with the memory access data -- if
* the reference to the memory block to be accessed is NULL, this noise
* source is disabled
* @loop_cnt [in] if a value not equal to 0 is set, use the given value
* number of loops to perform the LFSR
*/
static void jent_memaccess(struct rand_data *ec, __u64 loop_cnt)
{
unsigned int wrap = 0;
__u64 i = 0;
#define MAX_ACC_LOOP_BIT 7
#define MIN_ACC_LOOP_BIT 0
__u64 acc_loop_cnt =
jent_loop_shuffle(MAX_ACC_LOOP_BIT, MIN_ACC_LOOP_BIT);
if (NULL == ec || NULL == ec->mem)
return;
wrap = ec->memblocksize * ec->memblocks;
/*
* testing purposes -- allow test app to set the counter, not
* needed during runtime
*/
if (loop_cnt)
acc_loop_cnt = loop_cnt;
for (i = 0; i < (ec->memaccessloops + acc_loop_cnt); i++) {
unsigned char *tmpval = ec->mem + ec->memlocation;
/*
* memory access: just add 1 to one byte,
* wrap at 255 -- memory access implies read
* from and write to memory location
*/
*tmpval = (*tmpval + 1) & 0xff;
/*
* Addition of memblocksize - 1 to pointer
* with wrap around logic to ensure that every
* memory location is hit evenly
*/
ec->memlocation = ec->memlocation + ec->memblocksize - 1;
ec->memlocation = ec->memlocation % wrap;
}
}
/***************************************************************************
* Start of entropy processing logic
***************************************************************************/
/*
* This is the heart of the entropy generation: calculate time deltas and
* use the CPU jitter in the time deltas. The jitter is injected into the
* entropy pool.
*
* WARNING: ensure that ->prev_time is primed before using the output
* of this function! This can be done by calling this function
* and not using its result.
*
* @ec [in] Reference to entropy collector
*
* @return result of stuck test
*/
static int jent_measure_jitter(struct rand_data *ec)
{
__u64 time = 0;
__u64 current_delta = 0;
int stuck;
/* Invoke one noise source before time measurement to add variations */
jent_memaccess(ec, 0);
/*
* Get time stamp and calculate time delta to previous
* invocation to measure the timing variations
*/
jent_get_nstime(&time);
current_delta = jent_delta(ec->prev_time, time);
ec->prev_time = time;
/* Check whether we have a stuck measurement. */
stuck = jent_stuck(ec, current_delta);
/* Now call the next noise sources which also injects the data */
if (jent_condition_data(ec, current_delta, stuck))
stuck = 1;
return stuck;
}
/*
* Generator of one 64 bit random number
* Function fills rand_data->hash_state
*
* @ec [in] Reference to entropy collector
*/
static void jent_gen_entropy(struct rand_data *ec)
{
unsigned int k = 0, safety_factor = 0;
if (fips_enabled)
safety_factor = JENT_ENTROPY_SAFETY_FACTOR;
/* priming of the ->prev_time value */
jent_measure_jitter(ec);
while (!jent_health_failure(ec)) {
/* If a stuck measurement is received, repeat measurement */
if (jent_measure_jitter(ec))
continue;
/*
* We multiply the loop value with ->osr to obtain the
* oversampling rate requested by the caller
*/
if (++k >= ((DATA_SIZE_BITS + safety_factor) * ec->osr))
break;
}
}
/*
* Entry function: Obtain entropy for the caller.
*
* This function invokes the entropy gathering logic as often to generate
* as many bytes as requested by the caller. The entropy gathering logic
* creates 64 bit per invocation.
*
* This function truncates the last 64 bit entropy value output to the exact
* size specified by the caller.
*
* @ec [in] Reference to entropy collector
* @data [in] pointer to buffer for storing random data -- buffer must already
* exist
* @len [in] size of the buffer, specifying also the requested number of random
* in bytes
*
* @return 0 when request is fulfilled or an error
*
* The following error codes can occur:
* -1 entropy_collector is NULL or the generation failed
* -2 Intermittent health failure
* -3 Permanent health failure
*/
int jent_read_entropy(struct rand_data *ec, unsigned char *data,
unsigned int len)
{
unsigned char *p = data;
if (!ec)
return -1;
while (len > 0) {
unsigned int tocopy;
jent_gen_entropy(ec);
if (jent_permanent_health_failure(ec)) {
/*
* At this point, the Jitter RNG instance is considered
* as a failed instance. There is no rerun of the
* startup test any more, because the caller
* is assumed to not further use this instance.
*/
return -3;
} else if (jent_health_failure(ec)) {
/*
* Perform startup health tests and return permanent
* error if it fails.
*/
if (jent_entropy_init(ec->hash_state))
return -3;
return -2;
}
if ((DATA_SIZE_BITS / 8) < len)
tocopy = (DATA_SIZE_BITS / 8);
else
tocopy = len;
if (jent_read_random_block(ec->hash_state, p, tocopy))
return -1;
len -= tocopy;
p += tocopy;
}
return 0;
}
/***************************************************************************
* Initialization logic
***************************************************************************/
struct rand_data *jent_entropy_collector_alloc(unsigned int osr,
unsigned int flags,
void *hash_state)
{
struct rand_data *entropy_collector;
entropy_collector = jent_zalloc(sizeof(struct rand_data));
if (!entropy_collector)
return NULL;
if (!(flags & JENT_DISABLE_MEMORY_ACCESS)) {
/* Allocate memory for adding variations based on memory
* access
*/
entropy_collector->mem = jent_zalloc(JENT_MEMORY_SIZE);
if (!entropy_collector->mem) {
jent_zfree(entropy_collector);
return NULL;
}
entropy_collector->memblocksize = JENT_MEMORY_BLOCKSIZE;
entropy_collector->memblocks = JENT_MEMORY_BLOCKS;
entropy_collector->memaccessloops = JENT_MEMORY_ACCESSLOOPS;
}
/* verify and set the oversampling rate */
if (osr == 0)
osr = 1; /* minimum sampling rate is 1 */
entropy_collector->osr = osr;
entropy_collector->hash_state = hash_state;
/* fill the data pad with non-zero values */
jent_gen_entropy(entropy_collector);
return entropy_collector;
}
void jent_entropy_collector_free(struct rand_data *entropy_collector)
{
jent_zfree(entropy_collector->mem);
entropy_collector->mem = NULL;
jent_zfree(entropy_collector);
}
int jent_entropy_init(void *hash_state)
{
int i;
__u64 delta_sum = 0;
__u64 old_delta = 0;
unsigned int nonstuck = 0;
int time_backwards = 0;
int count_mod = 0;
int count_stuck = 0;
struct rand_data ec = { 0 };
/* Required for RCT */
ec.osr = 1;
ec.hash_state = hash_state;
/* We could perform statistical tests here, but the problem is
* that we only have a few loop counts to do testing. These
* loop counts may show some slight skew and we produce
* false positives.
*
* Moreover, only old systems show potentially problematic
* jitter entropy that could potentially be caught here. But
* the RNG is intended for hardware that is available or widely
* used, but not old systems that are long out of favor. Thus,
* no statistical tests.
*/
/*
* We could add a check for system capabilities such as clock_getres or
* check for CONFIG_X86_TSC, but it does not make much sense as the
* following sanity checks verify that we have a high-resolution
* timer.
*/
/*
* TESTLOOPCOUNT needs some loops to identify edge systems. 100 is
* definitely too little.
*
* SP800-90B requires at least 1024 initial test cycles.
*/
#define TESTLOOPCOUNT 1024
#define CLEARCACHE 100
for (i = 0; (TESTLOOPCOUNT + CLEARCACHE) > i; i++) {
__u64 time = 0;
__u64 time2 = 0;
__u64 delta = 0;
unsigned int lowdelta = 0;
int stuck;
/* Invoke core entropy collection logic */
jent_get_nstime(&time);
ec.prev_time = time;
jent_condition_data(&ec, time, 0);
jent_get_nstime(&time2);
/* test whether timer works */
if (!time || !time2)
return JENT_ENOTIME;
delta = jent_delta(time, time2);
/*
* test whether timer is fine grained enough to provide
* delta even when called shortly after each other -- this
* implies that we also have a high resolution timer
*/
if (!delta)
return JENT_ECOARSETIME;
stuck = jent_stuck(&ec, delta);
/*
* up to here we did not modify any variable that will be
* evaluated later, but we already performed some work. Thus we
* already have had an impact on the caches, branch prediction,
* etc. with the goal to clear it to get the worst case
* measurements.
*/
if (i < CLEARCACHE)
continue;
if (stuck)
count_stuck++;
else {
nonstuck++;
/*
* Ensure that the APT succeeded.
*
* With the check below that count_stuck must be less
* than 10% of the overall generated raw entropy values
* it is guaranteed that the APT is invoked at
* floor((TESTLOOPCOUNT * 0.9) / 64) == 14 times.
*/
if ((nonstuck % JENT_APT_WINDOW_SIZE) == 0) {
jent_apt_reset(&ec,
delta & JENT_APT_WORD_MASK);
}
}
/* Validate health test result */
if (jent_health_failure(&ec))
return JENT_EHEALTH;
/* test whether we have an increasing timer */
if (!(time2 > time))
time_backwards++;
/* use 32 bit value to ensure compilation on 32 bit arches */
lowdelta = time2 - time;
if (!(lowdelta % 100))
count_mod++;
/*
* ensure that we have a varying delta timer which is necessary
* for the calculation of entropy -- perform this check
* only after the first loop is executed as we need to prime
* the old_data value
*/
if (delta > old_delta)
delta_sum += (delta - old_delta);
else
delta_sum += (old_delta - delta);
old_delta = delta;
}
/*
* we allow up to three times the time running backwards.
* CLOCK_REALTIME is affected by adjtime and NTP operations. Thus,
* if such an operation just happens to interfere with our test, it
* should not fail. The value of 3 should cover the NTP case being
* performed during our test run.
*/
if (time_backwards > 3)
return JENT_ENOMONOTONIC;
/*
* Variations of deltas of time must on average be larger
* than 1 to ensure the entropy estimation
* implied with 1 is preserved
*/
if ((delta_sum) <= 1)
return JENT_EVARVAR;
/*
* Ensure that we have variations in the time stamp below 10 for at
* least 10% of all checks -- on some platforms, the counter increments
* in multiples of 100, but not always
*/
if ((TESTLOOPCOUNT/10 * 9) < count_mod)
return JENT_ECOARSETIME;
/*
* If we have more than 90% stuck results, then this Jitter RNG is
* likely to not work well.
*/
if ((TESTLOOPCOUNT/10 * 9) < count_stuck)
return JENT_ESTUCK;
return 0;
}