Commit Graph

212 Commits

Author SHA1 Message Date
Conrad Meyer
db488e4f52 random(4): Poll for signals during large reads
Occasionally poll for signals during large reads of the /dev/u?random
devices.  This allows cancellation via SIGINT of accidental invocations of
very large reads.  (A 2GB /dev/random read, which takes about 10 seconds on
my 2017 AMD Zen processor, can be aborted.)

I believe this behavior was intended since 2014 (r273997), just not fully
implemented.

This is motivated by a potential getrandom(2) interface that may not
explicitly forbid extremely large reads on 64-bit platforms -- even larger
than the 2GB limit imposed on devfs I/O by default.  Such reads, if they are
to be allowed, should be cancellable by the user or administrator.

Reviewed by:	delphij
Approved by:	secteam (delphij)
Sponsored by:	Dell EMC Isilon
Differential Revision:	https://reviews.freebsd.org/D14684
2018-03-16 18:50:26 +00:00
Conrad Meyer
849ce31a82 Remove unused error return from API that cannot fail
No implementation of fpu_kern_enter() can fail, and it was causing needless
error checking boilerplate and confusion. Change the return code to void to
match reality.

(This trivial change took nine days to land because of the commit hook on
sys/dev/random.  Please consider removing the hook or otherwise lowering the
bar -- secteam never seems to have free time to review patches.)

Reported by:	Lachlan McIlroy <Lachlan.McIlroy AT isilon.com>
Reviewed by:	delphij
Approved by:	secteam (delphij)
Sponsored by:	Dell EMC Isilon
Differential Revision:	https://reviews.freebsd.org/D14380
2018-02-23 20:15:19 +00:00
Conrad Meyer
e170090541 random(4): Add CCP random source definitions
The implementation will follow (D12723).  For now, get the changes to
commit-protected files out of the way.

Approved by:	secteam (gordon)
Sponsored by:	Dell EMC Isilon
Differential Revision:	https://reviews.freebsd.org/D13925
2018-01-16 02:56:27 +00:00
Conrad Meyer
095db7e6e7 random(4): Gather entropy from Pure sources
At initialization, hc_source_mask only includes non-Pure sources.

The patch changes source registration to enable the registered source in the
hc_source_mask bitmask. This mask governs which sources are harvested.

This patch also disallows userspace from disabling such sources.

PR:		222807
Submitted by:	W. Dean Freeman <badfilemagic AT gmail.com>
Reviewed by:	jmg (earlier version), delphij
Approved by:	secteam (delphij)
Obtained from:	HBSD 0054e3e170e083811acc9f3b637f8be8a86c03e7
Security:	yes
Differential Revision:	https://reviews.freebsd.org/D12611
2017-10-07 19:02:03 +00:00
Conrad Meyer
f04c11c32b random(4): Add missing source descriptions
Add source descriptions missed in r260847, r303035.

While here, convert the array to C99 initializers.

Reviewed by:	delphij
Approved by:	secteam (delphij)
Sponsored by:	Dell EMC Isilon
Differential Revision:	https://reviews.freebsd.org/D12618
2017-10-07 18:59:29 +00:00
Conrad Meyer
58900beed3 random(4): Discard low entropy inputs
The later fields of the harvest_event structure are predictable and provide
little value to the entropy pool.  Only feed in the relatively high entropy
counter and explicit entropy buffer to increase measured input entropy.

See also:
https://people.freebsd.org/~jmg/vbsdcon_2017_ddfreebsdrng_slides.pdf

PR:		222807
Submitted by:	W. Dean Freeman <badfilemagic AT gmail.com>
Reviewed by:	jmg (earlier version), delphij
Approved by:	secteam (delphij)
Obtained from:	HBSD 8d809124d563937edd84c9c9d5494406e359c55c
Security:	no -- low entropy marginal input has no known negative affect on pool quality
Differential Revision:	https://reviews.freebsd.org/D12610
2017-10-06 18:27:55 +00:00
Mark Murray
150890b0c6 Replace the RC4 algorithm for generating in-kernel secure random
numbers with Chacha20. Keep the API, though, as that is what the
other *BSD's have done.

Use the boot-time entropy stash (if present) to bootstrap the
in-kernel entropy source.

Reviewed by: delphij,rwatson
Approved by: so(delphij)
MFC after: 2 months
Relnotes: yes
Differential Revision: https://reviews.freebsd.org/D10048
2017-04-16 09:11:02 +00:00
Simon J. Gerraty
208250ed4d Revert previous commit, until issue with sparc64 resolved.
Approved by:	so (implicit)
2016-06-09 14:44:05 +00:00
Simon J. Gerraty
6aacec26cc Add a prototype for random_harvest_queue to dev/random/random_harvestq.h
This fixes a warning that occurs in a number of files that use the
random_harvest_queue function.

Differential Revision:	https://reviews.freebsd.org/D4229
Submitted by:	stevek@juniper.net
Reviewed by:	markm
Approved by:	so
2016-06-09 01:50:43 +00:00
Eitan Adler
cef367e6a1 Don't repeat the the word 'the'
(one manual change to fix grammar)

Confirmed With: db
Approved by: secteam (not really, but this is a comment typo fix)
2016-05-17 12:52:31 +00:00
Pedro F. Giffuni
32a71a72e1 dev/random: minor spelling fixes in comments.
No functional change.

Reviewed by:	markm
Approved by:	so
2016-05-02 14:35:57 +00:00
Pedro F. Giffuni
7b250b1ec9 dev/random: use our roundup() macro instead of re-implementing it.
While here also use howmany() macro from sys/param.h
No functional change.

Reviewed by:	markm (roundup replacement part)
Approved by:	so
2016-04-25 21:14:32 +00:00
Konstantin Belousov
97b9c34fc2 Fix rdrand_rng.ko and padlock_rng.ko dependencies, making modules
loadable when not compiled into the kernel.

Approved by:	so (delphij)
Sponsored by:	The FreeBSD Foundation
2016-04-16 06:10:47 +00:00
John Baldwin
dd52390836 Don't start the random harvester process until timers are working.
This is a no-op currently, but in kernels with earlier AP startup, the
random kthread was trying to use timeouts with sleeps before timers are
working.  Wait until SI_SUB_KICK_SCHEDULER to start the random kproc.

Reviewed by:	delphij, imp, markm
Approved by:	so
Sponsored by:	Netflix
Differential Revision:	https://reviews.freebsd.org/D5712
2016-03-28 21:51:56 +00:00
Gleb Smirnoff
9389e53fd4 Add missing braces.
Found by:	PVS-Studio
Approved by:	so (implicit)
2016-02-17 21:09:19 +00:00
Allan Jude
7a3f5d11fb Replace sys/crypto/sha2/sha2.c with lib/libmd/sha512c.c
cperciva's libmd implementation is 5-30% faster

The same was done for SHA256 previously in r263218

cperciva's implementation was lacking SHA-384 which I implemented, validated against OpenSSL and the NIST documentation

Extend sbin/md5 to create sha384(1)

Chase dependancies on sys/crypto/sha2/sha2.{c,h} and replace them with sha512{c.c,.h}

Reviewed by:	cperciva, des, delphij
Approved by:	secteam, bapt (mentor)
MFC after:	2 weeks
Sponsored by:	ScaleEngine Inc.
Differential Revision:	https://reviews.freebsd.org/D3929
2015-12-27 17:33:59 +00:00
Mark Murray
dcabe03158 Fix printf-like formats for KASSERT.
Submitted by:	jenkins
Approved by:	so (/dev/random blanket)
2015-10-05 10:45:52 +00:00
Mark Murray
0a9565c86e It appears that under some circumstances, like virtualisiation, the
'rdrand' instruction may occasionally not return random numbers, in
spite of looping attempts to do so. The reusult is a KASSERT/panic.

Reluctantly accept this state-of-affairs, but make a noise about it.
if this 'noise' spams the console, it may be time to discontinue
using that source.

This is written in a general way to account for /any/ source that
might not supply random numbers when required.

Submitted by:	jkh (report and slightly different fix)
Approved by:	so (/dev/random blanket)
2015-10-05 07:41:12 +00:00
Mark Murray
e866d8f05b Make the UMA harvesting go away completely if not wanted. Default to "not wanted".
Provide and document the RANDOM_ENABLE_UMA option.

Change RANDOM_FAST to RANDOM_UMA to clarify the harvesting.

Remove RANDOM_DEBUG option, replace with SDT probes. These will be of
use to folks measuring the harvesting effect when deciding whether to
use RANDOM_ENABLE_UMA.

Requested by:	scottl and others.
Approved by:	so (/dev/random blanket)
Differential Revision:    https://reviews.freebsd.org/D3197
2015-08-22 12:59:05 +00:00
Mark Murray
646041a89a Add DEV_RANDOM pseudo-option and use it to "include out" random(4)
if desired.

Retire randomdev_none.c and introduce random_infra.c for resident
infrastructure. Completely stub out random(4) calls in the "without
DEV_RANDOM" case.

Add RANDOM_LOADABLE option to allow loadable Yarrow/Fortuna/LocallyWritten
algorithm.  Add a skeleton "other" algorithm framework for folks
to add their own processing code. NIST, anyone?

Retire the RANDOM_DUMMY option.

Build modules for Yarrow, Fortuna and "other".

Use atomics for the live entropy rate-tracking.

Convert ints to bools for the 'seeded' logic.

Move _write() function from the algorithm-specific areas to randomdev.c

Get rid of reseed() function - it is unused.

Tidy up the opt_*.h includes.

Update documentation for random(4) modules.

Fix test program (reviewers, please leave this).

Differential Revision:    https://reviews.freebsd.org/D3354
Reviewed by:              wblock,delphij,jmg,bjk
Approved by:              so (/dev/random blanket)
2015-08-17 07:36:12 +00:00
Mark Murray
eda4aaeb3f Fix some untidy logic. I committed the wrong local fix; please pass the pointy hat.
Approved by:        so (/dev/random blanket)
2015-07-19 18:07:35 +00:00
Mark Murray
f703e79990 Remove out-of-date comments.
Approved by:        so (/dev/random blanket)
2015-07-19 16:05:34 +00:00
Mark Murray
dbefaadca8 Fix the read blocking so that it is interruptable and slow down the rate of console warning spamming while blocked.
Approved by:	so (/dev/random blanket)
2015-07-19 16:05:30 +00:00
Mark Murray
95b184a048 Optimise the buffer-size calculation. It was possible to get one block too many.
Approved by:	so (/dev/random blanket)
2015-07-19 16:05:23 +00:00
Ed Schouten
bc41a24735 Fix the build after breaking it in r285549.
I performed the commit on a different system as where I wrote the
change. After pulling in the change from Phabricator, I didn't notice
that a single chunk did not apply.

Approved by:	secteam (implicit, as intended change was approved)
Pointy hat to:	me
2015-07-14 20:45:24 +00:00
Ed Schouten
707d98fe2f Implement the CloudABI random_get() system call.
The random_get() system call works similar to getentropy()/getrandom()
on OpenBSD/Linux. It fills a buffer with random data.

This change introduces a new function, read_random_uio(), that is used
to implement read() on the random devices. We can call into this
function from within the CloudABI compatibility layer.

Approved by:	secteam
Reviewed by:	jmg, markm, wblock
Obtained from:	https://github.com/NuxiNL/freebsd
Differential Revision:	https://reviews.freebsd.org/D3053
2015-07-14 18:45:15 +00:00
Mark Murray
b712101cf7 Rework the read routines to keep the PRNG sources happy. These work
in units of crypto blocks, so must have adequate space to write.
This means needing to be careful about buffers and keeping track
of external read request length.

Approved by:	so (/dev/random blanket)
2015-07-13 08:38:21 +00:00
Mark Murray
3aa77530ca * Address review (and add a bit myself).
- Tweek man page.
 - Remove all mention of RANDOM_FORTUNA. If the system owner wants YARROW or DUMMY, they ask for it, otherwise they get FORTUNA.
 - Tidy up headers a bit.
 - Tidy up declarations a bit.
 - Make static in a couple of places where needed.
 - Move Yarrow/Fortuna SYSINIT/SYSUNINIT to randomdev.c, moving us towards a single file where the algorithm context is used.
 - Get rid of random_*_process_buffer() functions. They were only used in one place each, and are better subsumed into those places.
 - Remove *_post_read() functions as they are stubs everywhere.
 - Assert against buffer size illegalities.
 - Clean up some silly code in the randomdev_read() routine.
 - Make the harvesting more consistent.
 - Make some requested argument name changes.
 - Tidy up and clarify a few comments.
 - Make some requested comment changes.
 - Make some requested macro changes.

* NOTE: the thing calling itself a 'unit test' is not yet a proper
  unit test, but it helps me ensure things work. It may be a proper
  unit test at some time in the future, but for now please don't make
  any assumptions or hold any expectations.

Differential Revision:	https://reviews.freebsd.org/D2025
Approved by:	so (/dev/random blanket)
2015-07-12 18:14:38 +00:00
Mark Murray
d1b06863fb Huge cleanup of random(4) code.
* GENERAL
- Update copyright.
- Make kernel options for RANDOM_YARROW and RANDOM_DUMMY. Set
  neither to ON, which means we want Fortuna
- If there is no 'device random' in the kernel, there will be NO
  random(4) device in the kernel, and the KERN_ARND sysctl will
  return nothing. With RANDOM_DUMMY there will be a random(4) that
  always blocks.
- Repair kern.arandom (KERN_ARND sysctl). The old version went
  through arc4random(9) and was a bit weird.
- Adjust arc4random stirring a bit - the existing code looks a little
  suspect.
- Fix the nasty pre- and post-read overloading by providing explictit
  functions to do these tasks.
- Redo read_random(9) so as to duplicate random(4)'s read internals.
  This makes it a first-class citizen rather than a hack.
- Move stuff out of locked regions when it does not need to be
  there.
- Trim RANDOM_DEBUG printfs. Some are excess to requirement, some
  behind boot verbose.
- Use SYSINIT to sequence the startup.
- Fix init/deinit sysctl stuff.
- Make relevant sysctls also tunables.
- Add different harvesting "styles" to allow for different requirements
  (direct, queue, fast).
- Add harvesting of FFS atime events. This needs to be checked for
  weighing down the FS code.
- Add harvesting of slab allocator events. This needs to be checked for
  weighing down the allocator code.
- Fix the random(9) manpage.
- Loadable modules are not present for now. These will be re-engineered
  when the dust settles.
- Use macros for locks.
- Fix comments.

* src/share/man/...
- Update the man pages.

* src/etc/...
- The startup/shutdown work is done in D2924.

* src/UPDATING
- Add UPDATING announcement.

* src/sys/dev/random/build.sh
- Add copyright.
- Add libz for unit tests.

* src/sys/dev/random/dummy.c
- Remove; no longer needed. Functionality incorporated into randomdev.*.

* live_entropy_sources.c live_entropy_sources.h
- Remove; content moved.
- move content to randomdev.[ch] and optimise.

* src/sys/dev/random/random_adaptors.c src/sys/dev/random/random_adaptors.h
- Remove; plugability is no longer used. Compile-time algorithm
  selection is the way to go.

* src/sys/dev/random/random_harvestq.c src/sys/dev/random/random_harvestq.h
- Add early (re)boot-time randomness caching.

* src/sys/dev/random/randomdev_soft.c src/sys/dev/random/randomdev_soft.h
- Remove; no longer needed.

* src/sys/dev/random/uint128.h
- Provide a fake uint128_t; if a real one ever arrived, we can use
  that instead. All that is needed here is N=0, N++, N==0, and some
  localised trickery is used to manufacture a 128-bit 0ULLL.

* src/sys/dev/random/unit_test.c src/sys/dev/random/unit_test.h
- Improve unit tests; previously the testing human needed clairvoyance;
  now the test will do a basic check of compressibility. Clairvoyant
  talent is still a good idea.
- This is still a long way off a proper unit test.

* src/sys/dev/random/fortuna.c src/sys/dev/random/fortuna.h
- Improve messy union to just uint128_t.
- Remove unneeded 'static struct fortuna_start_cache'.
- Tighten up up arithmetic.
- Provide a method to allow eternal junk to be introduced; harden
  it against blatant by compress/hashing.
- Assert that locks are held correctly.
- Fix the nasty pre- and post-read overloading by providing explictit
  functions to do these tasks.
- Turn into self-sufficient module (no longer requires randomdev_soft.[ch])

* src/sys/dev/random/yarrow.c src/sys/dev/random/yarrow.h
- Improve messy union to just uint128_t.
- Remove unneeded 'staic struct start_cache'.
- Tighten up up arithmetic.
- Provide a method to allow eternal junk to be introduced; harden
  it against blatant by compress/hashing.
- Assert that locks are held correctly.
- Fix the nasty pre- and post-read overloading by providing explictit
  functions to do these tasks.
- Turn into self-sufficient module (no longer requires randomdev_soft.[ch])
- Fix some magic numbers elsewhere used as FAST and SLOW.

Differential Revision: https://reviews.freebsd.org/D2025
Reviewed by: vsevolod,delphij,rwatson,trasz,jmg
Approved by: so (delphij)
2015-06-30 17:00:45 +00:00
Xin LI
8d45c8ab96 - fortuna.c: catch up with r278927 and fix a buffer overflow by using the
temporary buffer when remaining space is not enough to hold
	      a whole block.
 - yarrow.c:  add a comment that we intend to change the code and remove
	      memcpy's in the future. (*)

Requested by:	markm (*)
Reviewed by:	markm
Approved by:	so (self)
2015-02-18 08:21:51 +00:00
John-Mark Gurney
5da74e04ec Fix a bug where this function overflowed it's buffer... This was
causing ZFS panics on boot...

This is purely reviewed and tested by peter.

Reviewed by:	peter
Approved by:	so (implicit), peter
2015-02-17 23:14:26 +00:00
John-Mark Gurney
601e8bcdf4 When the new random adaptor code was brought it in r273872, a call to
randomdev_init_reader to change read_random over to the newly installed
adaptor was missed.  This means both read_random and arc4random (seeded
from read_random) were not returning very random data.  This also
effects userland arc4random as it is seeded from kernel arc4random.

The random devices are uneffected and have returned good randomness
since the change.

All keys generated with a kernel of r273872 must be regenerated with
a kernel with this patch.  Keys generated may be predictable.

Remove the warning as log is too early to print anything, and it would
always get printed due to early use of arc4random...

Reviewed by:	delphij, markm
Approved by:    so (delphij)
2015-02-17 17:37:00 +00:00
Konstantin Belousov
843c718fa7 Update comment.
Noted by:	dim
Approved by:	secteam (des)
MFC after:	4 days
2014-11-11 14:30:35 +00:00
Dag-Erling Smørgrav
133cdd9e13 Constify the AES code and propagate to consumers. This allows us to
update the Fortuna code to use SHAd-256 as defined in FS&K.

Approved by:	so (self)
2014-11-10 09:44:38 +00:00
Konstantin Belousov
48e279eaa7 Fix random.ko module.
- Remove duplicated sources between standard part of the kernel and
  module.  In particular, it caused duplicated lock initialization and
  sysctl registration, both having bad consequences.
- Add missed source files to module.
- Static part of the kernel provides randomdev module, not
  random_adaptors.  Correct dependencies.
- Use cdev modules declaration macros.

Approved by:	secteam (delphij)
Reviewed by:	markm
2014-11-07 20:23:43 +00:00
Konstantin Belousov
76c16ab94f Simplify assembler in ivy.c. Move the copying of the random bits into
buffer from asm to C, which reduces amount of arguments for inline asm
and simplifies constraints.  Use unsigned types consistently.

Submitted by:	bde
Approved by:	secteam (delphij)
Reviewed by:	markm
MFC after:	1 week
2014-11-07 20:10:09 +00:00
Dag-Erling Smørgrav
02cd12d6d6 When reseeding the DPRNG, we're supposed to hash the current key and
some accumulated entropy twice and use that as the new key.  Due to a
typo, we were using the output of the first hash round instead of the
second.  Correct this, but eliminate temp[] since we can reuse hash[].
Also add comments explaining what is going on and why.

Noticed by:	Sami Farin <sami.farin@gmail.com>
Reviewed by:	markm@
Approved by:	so (des)
2014-11-04 23:02:19 +00:00
Xin LI
1077321975 Don't assert random_adaptors_lock in random_adaptor_read_rate().
Reported by:	many
Pointy hat to:	delphij (for not testing the commit with WITNESS)
Approved by:	so
2014-11-03 04:41:29 +00:00
Xin LI
57cd52ca4c - Make sure random_adaptor accesses happen only when
random_adaptors_lock is held.
 - Use sx_sleep instead of tsleep in read and write path to allow
   another thread that registers a new random adapter when waiting.
   Assert that random_adaptor is not NULL after reacquiring the lock.
 - Capture EINTR/ERESTART from sx_sleep to allow the blocking cycle be
   stopped when user requests so, while there also make short
   read/write's return 0.
 - Move M_WAITOK allocations out of lock scope.

In collobration with:	kib, markm, ian, jilles
Reviewed by:	kib, markm
Approved by:	so
2014-11-02 23:30:50 +00:00
Dag-Erling Smørgrav
8c9ba8414c Restore the auto-reseed logic, but move it to a much later point,
immediately before kick_init.

Approved by:	so (self)
2014-11-02 02:01:55 +00:00
Mark Murray
10cb24248a This is the much-discussed major upgrade to the random(4) device, known to you all as /dev/random.
This code has had an extensive rewrite and a good series of reviews, both by the author and other parties. This means a lot of code has been simplified. Pluggable structures for high-rate entropy generators are available, and it is most definitely not the case that /dev/random can be driven by only a hardware souce any more. This has been designed out of the device. Hardware sources are stirred into the CSPRNG (Yarrow, Fortuna) like any other entropy source. Pluggable modules may be written by third parties for additional sources.

The harvesting structures and consequently the locking have been simplified. Entropy harvesting is done in a more general way (the documentation for this will follow). There is some GREAT entropy to be had in the UMA allocator, but it is disabled for now as messing with that is likely to annoy many people.

The venerable (but effective) Yarrow algorithm, which is no longer supported by its authors now has an alternative, Fortuna. For now, Yarrow is retained as the default algorithm, but this may be changed using a kernel option. It is intended to make Fortuna the default algorithm for 11.0. Interested parties are encouraged to read ISBN 978-0-470-47424-2 "Cryptography Engineering" By Ferguson, Schneier and Kohno for Fortuna's gory details. Heck, read it anyway.

Many thanks to Arthur Mesh who did early grunt work, and who got caught in the crossfire rather more than he deserved to.

My thanks also to folks who helped me thresh this out on whiteboards and in the odd "Hallway track", or otherwise.

My Nomex pants are on. Let the feedback commence!

Reviewed by:	trasz,des(partial),imp(partial?),rwatson(partial?)
Approved by:	so(des)
2014-10-30 21:21:53 +00:00
Navdeep Parhar
3f52cae506 Make sure correct object code is generated at -O0.
Submitted by:	grehan@
Approved by:	so@ (des)
MFC after:	1 month
2014-10-13 06:50:08 +00:00
Xin LI
d2f1b8f4d2 Use Intel's official name (Secure Key) per Intel® Digital Random Number
Generator (DRNG) Software Implementation Guide.

Reviewed by:	kib
Approved by:	so
MFC after:	2 weeks
2014-06-27 21:33:15 +00:00
Mark Murray
169050a030 Correctly set the sysctl format to Alphanumeric, rather than letting it default.
Approved by: security-officer(des)
2014-04-26 13:21:28 +00:00
Adrian Chadd
a09968c479 Convert the random entropy harvesting code to use a const void * pointer
rather than just void *.

Then, as part of this, convert a couple of mbuf m->m_data accesses
to mtod(m, const void *).

Reviewed by:	markm
Approved by:	security-officer (delphij)
Sponsored by:	Netflix, Inc.
2013-11-01 20:53:49 +00:00
Konstantin Belousov
7c3547bacd Utilize the stronger guarantees on the call arguments from the
harvester, which now always calls hwrngs with the buffer length
multiple of the word size.  This allows to remove the excessive memory
accesses to temporary buffer when saving the entropy word.

Streamline the assembly and unify it between i386 and amd64.

Reviewed by:	markm, des
Approved by:	so (des)
Sponsored by:	The FreeBSD Foundation
MFC after:	2 weeks
2013-10-17 07:57:58 +00:00
Mark Murray
4024528a27 Make sure a vaiable is always initialised. 2013-10-12 23:19:01 +00:00
Mark Murray
63edd2efc3 Fix a problem where the priority order of yarrow,dummy can get reversed
to dummy,yarrow and break the usability of /dev/random.

Fix the name of the tunable to something logical that 'sysctl kern.random'
emits.

Submitted by:	des@ (the idea, code by me)
2013-10-12 23:15:06 +00:00
Mark Murray
9c9797f7c5 Fix for i386. 2013-10-11 20:53:25 +00:00
Mark Murray
663c239342 Fix a constant printf which is (int) on some architectures and (long int) on others. 2013-10-10 07:39:19 +00:00