2 * Non-physical true random number generator based on timing jitter --
3 * Jitter RNG standalone code.
5 * Copyright Stephan Mueller <smueller@chronox.de>, 2015
10 * See http://www.chronox.de/jent.html
15 * Redistribution and use in source and binary forms, with or without
16 * modification, are permitted provided that the following conditions
18 * 1. Redistributions of source code must retain the above copyright
19 * notice, and the entire permission notice in its entirety,
20 * including the disclaimer of warranties.
21 * 2. Redistributions in binary form must reproduce the above copyright
22 * notice, this list of conditions and the following disclaimer in the
23 * documentation and/or other materials provided with the distribution.
24 * 3. The name of the author may not be used to endorse or promote
25 * products derived from this software without specific prior
28 * ALTERNATIVELY, this product may be distributed under the terms of
29 * the GNU General Public License, in which case the provisions of the GPL2 are
30 * required INSTEAD OF the above restrictions. (This clause is
31 * necessary due to a potential bad interaction between the GPL and
32 * the restrictions contained in a BSD-style copyright.)
34 * THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESS OR IMPLIED
35 * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
36 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ALL OF
37 * WHICH ARE HEREBY DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE
38 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
39 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT
40 * OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
41 * BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
42 * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
43 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
44 * USE OF THIS SOFTWARE, EVEN IF NOT ADVISED OF THE POSSIBILITY OF SUCH
49 * This Jitterentropy RNG is based on the jitterentropy library
50 * version 1.1.0 provided at http://www.chronox.de/jent.html
54 #error "The CPU Jitter random number generator must not be compiled with optimizations. See documentation. Use the compiler switch -O0 for compiling jitterentropy.c."
57 typedef unsigned long long __u64
;
58 typedef long long __s64
;
59 typedef unsigned int __u32
;
60 #define NULL ((void *) 0)
62 /* The entropy pool */
64 /* all data values that are vital to maintain the security
65 * of the RNG are marked as SENSITIVE. A user must not
66 * access that information while the RNG executes its loops to
67 * calculate the next random value. */
68 __u64 data
; /* SENSITIVE Actual random number */
69 __u64 old_data
; /* SENSITIVE Previous random number */
70 __u64 prev_time
; /* SENSITIVE Previous time stamp */
71 #define DATA_SIZE_BITS ((sizeof(__u64)) * 8)
72 __u64 last_delta
; /* SENSITIVE stuck test */
73 __s64 last_delta2
; /* SENSITIVE stuck test */
74 unsigned int stuck
:1; /* Time measurement stuck */
75 unsigned int osr
; /* Oversample rate */
76 unsigned int stir
:1; /* Post-processing stirring */
77 unsigned int disable_unbias
:1; /* Deactivate Von-Neuman unbias */
78 #define JENT_MEMORY_BLOCKS 64
79 #define JENT_MEMORY_BLOCKSIZE 32
80 #define JENT_MEMORY_ACCESSLOOPS 128
81 #define JENT_MEMORY_SIZE (JENT_MEMORY_BLOCKS*JENT_MEMORY_BLOCKSIZE)
82 unsigned char *mem
; /* Memory access location with size of
83 * memblocks * memblocksize */
84 unsigned int memlocation
; /* Pointer to byte in *mem */
85 unsigned int memblocks
; /* Number of memory blocks in *mem */
86 unsigned int memblocksize
; /* Size of one memory block in bytes */
87 unsigned int memaccessloops
; /* Number of memory accesses per random
91 /* Flags that can be used to initialize the RNG */
92 #define JENT_DISABLE_STIR (1<<0) /* Disable stirring the entropy pool */
93 #define JENT_DISABLE_UNBIAS (1<<1) /* Disable the Von-Neuman Unbiaser */
94 #define JENT_DISABLE_MEMORY_ACCESS (1<<2) /* Disable memory access for more
95 * entropy, saves MEMORY_SIZE RAM for
96 * entropy collector */
98 /* -- error codes for init function -- */
99 #define JENT_ENOTIME 1 /* Timer service not available */
100 #define JENT_ECOARSETIME 2 /* Timer too coarse for RNG */
101 #define JENT_ENOMONOTONIC 3 /* Timer is not monotonic increasing */
102 #define JENT_EMINVARIATION 4 /* Timer variations too small for RNG */
103 #define JENT_EVARVAR 5 /* Timer does not produce variations of
104 * variations (2nd derivation of time is
106 #define JENT_EMINVARVAR 6 /* Timer variations of variations is tooi
109 /***************************************************************************
111 ***************************************************************************/
113 void jent_get_nstime(__u64
*out
);
114 __u64
jent_rol64(__u64 word
, unsigned int shift
);
115 void *jent_zalloc(unsigned int len
);
116 void jent_zfree(void *ptr
);
117 int jent_fips_enabled(void);
118 void jent_panic(char *s
);
119 void jent_memcpy(void *dest
, const void *src
, unsigned int n
);
122 * Update of the loop count used for the next round of
123 * an entropy collection.
126 * @ec entropy collector struct -- may be NULL
127 * @bits is the number of low bits of the timer to consider
128 * @min is the number of bits we shift the timer value to the right at
129 * the end to make sure we have a guaranteed minimum value
131 * @return Newly calculated loop counter
133 static __u64
jent_loop_shuffle(struct rand_data
*ec
,
134 unsigned int bits
, unsigned int min
)
139 unsigned int mask
= (1<<bits
) - 1;
141 jent_get_nstime(&time
);
143 * mix the current state of the random number into the shuffle
144 * calculation to balance that shuffle a bit more
149 * we fold the time value as much as possible to ensure that as many
150 * bits of the time stamp are included as possible
152 for (i
= 0; (DATA_SIZE_BITS
/ bits
) > i
; i
++) {
153 shuffle
^= time
& mask
;
158 * We add a lower boundary value to ensure we have a minimum
161 return (shuffle
+ (1<<min
));
164 /***************************************************************************
166 ***************************************************************************/
169 * CPU Jitter noise source -- this is the noise source based on the CPU
170 * execution time jitter
172 * This function folds the time into one bit units by iterating
173 * through the DATA_SIZE_BITS bit time value as follows: assume our time value
175 * 1st loop, 1st shift generates 0xd000
176 * 1st loop, 2nd shift generates 0x000d
177 * 2nd loop, 1st shift generates 0xcd00
178 * 2nd loop, 2nd shift generates 0x000c
179 * 3rd loop, 1st shift generates 0xbcd0
180 * 3rd loop, 2nd shift generates 0x000b
181 * 4th loop, 1st shift generates 0xabcd
182 * 4th loop, 2nd shift generates 0x000a
183 * Now, the values at the end of the 2nd shifts are XORed together.
185 * The code is deliberately inefficient and shall stay that way. This function
186 * is the root cause why the code shall be compiled without optimization. This
187 * function not only acts as folding operation, but this function's execution
188 * is used to measure the CPU execution time jitter. Any change to the loop in
189 * this function implies that careful retesting must be done.
192 * @ec entropy collector struct -- may be NULL
193 * @time time stamp to be folded
194 * @loop_cnt if a value not equal to 0 is set, use the given value as number of
195 * loops to perform the folding
198 * @folded result of folding operation
200 * @return Number of loops the folding operation is performed
202 static __u64
jent_fold_time(struct rand_data
*ec
, __u64 time
,
203 __u64
*folded
, __u64 loop_cnt
)
208 #define MAX_FOLD_LOOP_BIT 4
209 #define MIN_FOLD_LOOP_BIT 0
210 __u64 fold_loop_cnt
=
211 jent_loop_shuffle(ec
, MAX_FOLD_LOOP_BIT
, MIN_FOLD_LOOP_BIT
);
214 * testing purposes -- allow test app to set the counter, not
215 * needed during runtime
218 fold_loop_cnt
= loop_cnt
;
219 for (j
= 0; j
< fold_loop_cnt
; j
++) {
221 for (i
= 1; (DATA_SIZE_BITS
) >= i
; i
++) {
222 __u64 tmp
= time
<< (DATA_SIZE_BITS
- i
);
224 tmp
= tmp
>> (DATA_SIZE_BITS
- 1);
229 return fold_loop_cnt
;
233 * Memory Access noise source -- this is a noise source based on variations in
234 * memory access times
236 * This function performs memory accesses which will add to the timing
237 * variations due to an unknown amount of CPU wait states that need to be
238 * added when accessing memory. The memory size should be larger than the L1
239 * caches as outlined in the documentation and the associated testing.
241 * The L1 cache has a very high bandwidth, albeit its access rate is usually
242 * slower than accessing CPU registers. Therefore, L1 accesses only add minimal
243 * variations as the CPU has hardly to wait. Starting with L2, significant
244 * variations are added because L2 typically does not belong to the CPU any more
245 * and therefore a wider range of CPU wait states is necessary for accesses.
246 * L3 and real memory accesses have even a wider range of wait states. However,
247 * to reliably access either L3 or memory, the ec->mem memory must be quite
248 * large which is usually not desirable.
251 * @ec Reference to the entropy collector with the memory access data -- if
252 * the reference to the memory block to be accessed is NULL, this noise
254 * @loop_cnt if a value not equal to 0 is set, use the given value as number of
255 * loops to perform the folding
257 * @return Number of memory access operations
259 static unsigned int jent_memaccess(struct rand_data
*ec
, __u64 loop_cnt
)
261 unsigned char *tmpval
= NULL
;
262 unsigned int wrap
= 0;
264 #define MAX_ACC_LOOP_BIT 7
265 #define MIN_ACC_LOOP_BIT 0
267 jent_loop_shuffle(ec
, MAX_ACC_LOOP_BIT
, MIN_ACC_LOOP_BIT
);
269 if (NULL
== ec
|| NULL
== ec
->mem
)
271 wrap
= ec
->memblocksize
* ec
->memblocks
;
274 * testing purposes -- allow test app to set the counter, not
275 * needed during runtime
278 acc_loop_cnt
= loop_cnt
;
280 for (i
= 0; i
< (ec
->memaccessloops
+ acc_loop_cnt
); i
++) {
281 tmpval
= ec
->mem
+ ec
->memlocation
;
283 * memory access: just add 1 to one byte,
284 * wrap at 255 -- memory access implies read
285 * from and write to memory location
287 *tmpval
= (*tmpval
+ 1) & 0xff;
289 * Addition of memblocksize - 1 to pointer
290 * with wrap around logic to ensure that every
291 * memory location is hit evenly
293 ec
->memlocation
= ec
->memlocation
+ ec
->memblocksize
- 1;
294 ec
->memlocation
= ec
->memlocation
% wrap
;
299 /***************************************************************************
300 * Start of entropy processing logic
301 ***************************************************************************/
304 * Stuck test by checking the:
305 * 1st derivation of the jitter measurement (time delta)
306 * 2nd derivation of the jitter measurement (delta of time deltas)
307 * 3rd derivation of the jitter measurement (delta of delta of time deltas)
309 * All values must always be non-zero.
312 * @ec Reference to entropy collector
313 * @current_delta Jitter time delta
316 * 0 jitter measurement not stuck (good bit)
317 * 1 jitter measurement stuck (reject bit)
319 static void jent_stuck(struct rand_data
*ec
, __u64 current_delta
)
321 __s64 delta2
= ec
->last_delta
- current_delta
;
322 __s64 delta3
= delta2
- ec
->last_delta2
;
324 ec
->last_delta
= current_delta
;
325 ec
->last_delta2
= delta2
;
327 if (!current_delta
|| !delta2
|| !delta3
)
332 * This is the heart of the entropy generation: calculate time deltas and
333 * use the CPU jitter in the time deltas. The jitter is folded into one
334 * bit. You can call this function the "random bit generator" as it
335 * produces one random bit per invocation.
337 * WARNING: ensure that ->prev_time is primed before using the output
338 * of this function! This can be done by calling this function
339 * and not using its result.
342 * @entropy_collector Reference to entropy collector
344 * @return One random bit
346 static __u64
jent_measure_jitter(struct rand_data
*ec
)
350 __u64 current_delta
= 0;
352 /* Invoke one noise source before time measurement to add variations */
353 jent_memaccess(ec
, 0);
356 * Get time stamp and calculate time delta to previous
357 * invocation to measure the timing variations
359 jent_get_nstime(&time
);
360 current_delta
= time
- ec
->prev_time
;
361 ec
->prev_time
= time
;
363 /* Now call the next noise sources which also folds the data */
364 jent_fold_time(ec
, current_delta
, &data
, 0);
367 * Check whether we have a stuck measurement. The enforcement
368 * is performed after the stuck value has been mixed into the
371 jent_stuck(ec
, current_delta
);
377 * Von Neuman unbias as explained in RFC 4086 section 4.2. As shown in the
378 * documentation of that RNG, the bits from jent_measure_jitter are considered
379 * independent which implies that the Von Neuman unbias operation is applicable.
380 * A proof of the Von-Neumann unbias operation to remove skews is given in the
381 * document "A proposal for: Functionality classes for random number
382 * generators", version 2.0 by Werner Schindler, section 5.4.1.
385 * @entropy_collector Reference to entropy collector
387 * @return One random bit
389 static __u64
jent_unbiased_bit(struct rand_data
*entropy_collector
)
392 __u64 a
= jent_measure_jitter(entropy_collector
);
393 __u64 b
= jent_measure_jitter(entropy_collector
);
405 * Shuffle the pool a bit by mixing some value with a bijective function (XOR)
408 * The function generates a mixer value that depends on the bits set and the
409 * location of the set bits in the random number generated by the entropy
410 * source. Therefore, based on the generated random number, this mixer value
411 * can have 2**64 different values. That mixer value is initialized with the
412 * first two SHA-1 constants. After obtaining the mixer value, it is XORed into
415 * The mixer value is not assumed to contain any entropy. But due to the XOR
416 * operation, it can also not destroy any entropy present in the entropy pool.
419 * @entropy_collector Reference to entropy collector
421 static void jent_stir_pool(struct rand_data
*entropy_collector
)
424 * to shut up GCC on 32 bit, we have to initialize the 64 variable
425 * with two 32 bit variables
432 * This constant is derived from the first two 32 bit initialization
433 * vectors of SHA-1 as defined in FIPS 180-4 section 5.3.1
437 * The start value of the mixer variable is derived from the third
438 * and fourth 32 bit initialization vector of SHA-1 as defined in
439 * FIPS 180-4 section 5.3.1
445 * Store the SHA-1 constants in reverse order to make up the 64 bit
446 * value -- this applies to a little endian system, on a big endian
447 * system, it reverses as expected. But this really does not matter
448 * as we do not rely on the specific numbers. We just pick the SHA-1
449 * constants as they have a good mix of bit set and unset.
451 constant
.u32
[1] = 0x67452301;
452 constant
.u32
[0] = 0xefcdab89;
453 mixer
.u32
[1] = 0x98badcfe;
454 mixer
.u32
[0] = 0x10325476;
456 for (i
= 0; i
< DATA_SIZE_BITS
; i
++) {
458 * get the i-th bit of the input random number and only XOR
459 * the constant into the mixer value when that bit is set
461 if ((entropy_collector
->data
>> i
) & 1)
462 mixer
.u64
^= constant
.u64
;
463 mixer
.u64
= jent_rol64(mixer
.u64
, 1);
465 entropy_collector
->data
^= mixer
.u64
;
469 * Generator of one 64 bit random number
470 * Function fills rand_data->data
473 * @ec Reference to entropy collector
475 static void jent_gen_entropy(struct rand_data
*ec
)
479 /* priming of the ->prev_time value */
480 jent_measure_jitter(ec
);
485 if (ec
->disable_unbias
== 1)
486 data
= jent_measure_jitter(ec
);
488 data
= jent_unbiased_bit(ec
);
490 /* enforcement of the jent_stuck test */
493 * We only mix in the bit considered not appropriate
494 * without the LSFR. The reason is that if we apply
495 * the LSFR and we do not rotate, the 2nd bit with LSFR
496 * will cancel out the first LSFR application on the
499 * And we do not rotate as we apply the next bit to the
500 * current bit location again.
508 * Fibonacci LSFR with polynom of
509 * x^64 + x^61 + x^56 + x^31 + x^28 + x^23 + 1 which is
510 * primitive according to
511 * http://poincare.matf.bg.ac.rs/~ezivkovm/publications/primpol1.pdf
512 * (the shift values are the polynom values minus one
513 * due to counting bits from 0 to 63). As the current
514 * position is always the LSB, the polynom only needs
515 * to shift data in from the left without wrap.
518 ec
->data
^= ((ec
->data
>> 63) & 1);
519 ec
->data
^= ((ec
->data
>> 60) & 1);
520 ec
->data
^= ((ec
->data
>> 55) & 1);
521 ec
->data
^= ((ec
->data
>> 30) & 1);
522 ec
->data
^= ((ec
->data
>> 27) & 1);
523 ec
->data
^= ((ec
->data
>> 22) & 1);
524 ec
->data
= jent_rol64(ec
->data
, 1);
527 * We multiply the loop value with ->osr to obtain the
528 * oversampling rate requested by the caller
530 if (++k
>= (DATA_SIZE_BITS
* ec
->osr
))
538 * The continuous test required by FIPS 140-2 -- the function automatically
539 * primes the test if needed.
542 * 0 if FIPS test passed
543 * < 0 if FIPS test failed
545 static void jent_fips_test(struct rand_data
*ec
)
547 if (!jent_fips_enabled())
550 /* prime the FIPS test */
552 ec
->old_data
= ec
->data
;
553 jent_gen_entropy(ec
);
556 if (ec
->data
== ec
->old_data
)
557 jent_panic("jitterentropy: Duplicate output detected\n");
559 ec
->old_data
= ec
->data
;
563 * Entry function: Obtain entropy for the caller.
565 * This function invokes the entropy gathering logic as often to generate
566 * as many bytes as requested by the caller. The entropy gathering logic
567 * creates 64 bit per invocation.
569 * This function truncates the last 64 bit entropy value output to the exact
570 * size specified by the caller.
573 * @ec Reference to entropy collector
574 * @data pointer to buffer for storing random data -- buffer must already
576 * @len size of the buffer, specifying also the requested number of random
579 * @return 0 when request is fulfilled or an error
581 * The following error codes can occur:
582 * -1 entropy_collector is NULL
584 int jent_read_entropy(struct rand_data
*ec
, unsigned char *data
,
587 unsigned char *p
= data
;
595 jent_gen_entropy(ec
);
597 if ((DATA_SIZE_BITS
/ 8) < len
)
598 tocopy
= (DATA_SIZE_BITS
/ 8);
601 jent_memcpy(p
, &ec
->data
, tocopy
);
610 /***************************************************************************
611 * Initialization logic
612 ***************************************************************************/
614 struct rand_data
*jent_entropy_collector_alloc(unsigned int osr
,
617 struct rand_data
*entropy_collector
;
619 entropy_collector
= jent_zalloc(sizeof(struct rand_data
));
620 if (!entropy_collector
)
623 if (!(flags
& JENT_DISABLE_MEMORY_ACCESS
)) {
624 /* Allocate memory for adding variations based on memory
627 entropy_collector
->mem
= jent_zalloc(JENT_MEMORY_SIZE
);
628 if (!entropy_collector
->mem
) {
629 jent_zfree(entropy_collector
);
632 entropy_collector
->memblocksize
= JENT_MEMORY_BLOCKSIZE
;
633 entropy_collector
->memblocks
= JENT_MEMORY_BLOCKS
;
634 entropy_collector
->memaccessloops
= JENT_MEMORY_ACCESSLOOPS
;
637 /* verify and set the oversampling rate */
639 osr
= 1; /* minimum sampling rate is 1 */
640 entropy_collector
->osr
= osr
;
642 entropy_collector
->stir
= 1;
643 if (flags
& JENT_DISABLE_STIR
)
644 entropy_collector
->stir
= 0;
645 if (flags
& JENT_DISABLE_UNBIAS
)
646 entropy_collector
->disable_unbias
= 1;
648 /* fill the data pad with non-zero values */
649 jent_gen_entropy(entropy_collector
);
651 return entropy_collector
;
654 void jent_entropy_collector_free(struct rand_data
*entropy_collector
)
656 jent_zfree(entropy_collector
->mem
);
657 entropy_collector
->mem
= NULL
;
658 jent_zfree(entropy_collector
);
659 entropy_collector
= NULL
;
662 int jent_entropy_init(void)
667 int time_backwards
= 0;
671 /* We could perform statistical tests here, but the problem is
672 * that we only have a few loop counts to do testing. These
673 * loop counts may show some slight skew and we produce
676 * Moreover, only old systems show potentially problematic
677 * jitter entropy that could potentially be caught here. But
678 * the RNG is intended for hardware that is available or widely
679 * used, but not old systems that are long out of favor. Thus,
680 * no statistical tests.
684 * We could add a check for system capabilities such as clock_getres or
685 * check for CONFIG_X86_TSC, but it does not make much sense as the
686 * following sanity checks verify that we have a high-resolution
690 * TESTLOOPCOUNT needs some loops to identify edge systems. 100 is
691 * definitely too little.
693 #define TESTLOOPCOUNT 300
694 #define CLEARCACHE 100
695 for (i
= 0; (TESTLOOPCOUNT
+ CLEARCACHE
) > i
; i
++) {
700 unsigned int lowdelta
= 0;
702 jent_get_nstime(&time
);
703 jent_fold_time(NULL
, time
, &folded
, 1<<MIN_FOLD_LOOP_BIT
);
704 jent_get_nstime(&time2
);
706 /* test whether timer works */
709 delta
= time2
- time
;
711 * test whether timer is fine grained enough to provide
712 * delta even when called shortly after each other -- this
713 * implies that we also have a high resolution timer
716 return JENT_ECOARSETIME
;
719 * up to here we did not modify any variable that will be
720 * evaluated later, but we already performed some work. Thus we
721 * already have had an impact on the caches, branch prediction,
722 * etc. with the goal to clear it to get the worst case
728 /* test whether we have an increasing timer */
733 * Avoid modulo of 64 bit integer to allow code to compile
734 * on 32 bit architectures.
736 lowdelta
= time2
- time
;
737 if (!(lowdelta
% 100))
741 * ensure that we have a varying delta timer which is necessary
742 * for the calculation of entropy -- perform this check
743 * only after the first loop is executed as we need to prime
747 if (delta
!= old_delta
)
749 if (delta
> old_delta
)
750 delta_sum
+= (delta
- old_delta
);
752 delta_sum
+= (old_delta
- delta
);
758 * we allow up to three times the time running backwards.
759 * CLOCK_REALTIME is affected by adjtime and NTP operations. Thus,
760 * if such an operation just happens to interfere with our test, it
761 * should not fail. The value of 3 should cover the NTP case being
762 * performed during our test run.
764 if (3 < time_backwards
)
765 return JENT_ENOMONOTONIC
;
766 /* Error if the time variances are always identical */
771 * Variations of deltas of time must on average be larger
772 * than 1 to ensure the entropy estimation
773 * implied with 1 is preserved
776 return JENT_EMINVARVAR
;
779 * Ensure that we have variations in the time stamp below 10 for at
780 * least 10% of all checks -- on some platforms, the counter
781 * increments in multiples of 100, but not always
783 if ((TESTLOOPCOUNT
/10 * 9) < count_mod
)
784 return JENT_ECOARSETIME
;