Commit Graph

305 Commits

Author SHA1 Message Date
Rafal Jaworowski
17f4cae4a5 Let us manage differences of Book-E PowerPC variations i.e. vendor /
implementation specific vs. the common architecture definition.

Bring PPC4XX defines (PSL, SPR, TLB). Note the new definitions under
BOOKE_PPC4XX are not used in the code yet.

This change set is not supposed to affect existing E500 support, it's just
another reorg step before bringing support for E500mc, E5500 and PPC465.

Obtained from:	AppliedMicro, Freescale, Semihalf
2012-05-27 10:25:20 +00:00
Ryan Stone
b3e9e682cf Implement the DTrace sched provider. This implementation aims to be
compatible with the sched provider implemented by Solaris and its open-
source derivatives.  Full documentation of the sched provider can be found
on Oracle's DTrace wiki pages.

Note that for compatibility with scripts originally written for Solaris,
serveral probes are defined that will never fire.  These probes are defined
to fire when Solaris-specific features perform certain actions.  As these
features are not present in FreeBSD, the probes can never fire.

Also, I have added a two probes that are not defined in Solaris, lend-pri
and load-change.  These probes have been added to make it possible to
collect schedgraph data with DTrace.

Finally, a few probes are defined in Solaris to take a cpuinfo_t *
argument.  As it was not immediately clear to me how to translate that to
FreeBSD, currently those probes are passed NULL in place of a cpuinfo_t *.

Sponsored by: Sandvine Incorporated
MFC after:	2 weeks
2012-05-15 01:30:25 +00:00
Alexander Motin
70801abe8f Microoptimize cpu_search().
According to profiling, it makes one take 6% of CPU time on hackbench
with its million of context switches per second, instead of 8% before.
2012-04-09 18:24:58 +00:00
Alexander Motin
7295465e33 Rewrite thread CPU usage percentage math to not depend on periodic calls
with HZ rate through the sched_tick() calls from hardclock().

Potentially it can be used to improve precision, but now it is just minus
one more reason to call hardclock() for every HZ tick on every active CPU.
SCHED_4BSD never used sched_tick(), but keep it in place for now, as at
least SCHED_FBFS existing in patches out of the tree depends on it.

MFC after:	1 month
2012-03-13 08:18:54 +00:00
Alexander Motin
b3f40a4107 Make kern.sched.idlespinthresh default value adaptive depending of HZ.
Otherwise with HZ above 8000 CPU may never skip timer ticks on idle.
2012-03-09 19:09:08 +00:00
John Baldwin
44ad547522 Add a new sched_clear_name() method to the scheduler interface to clear
the cached name used for KTR_SCHED traces when a thread's name changes.
This way KTR_SCHED traces (and thus schedgraph) will notice when a thread's
name changes, most commonly via execve().

MFC after:	2 weeks
2012-03-08 19:41:05 +00:00
Alexander Motin
6022f0bcb3 Fix bug of r232207, when cpu_search() could prefer CPU group with best
load, but with no CPU matching given limitations. It caused kernel panics
in some cases when thread was bound to specific CPUs with cpuset(1).
2012-03-03 11:50:48 +00:00
Alexander Motin
36acfc6507 Rework CPU load balancing in SCHED_ULE:
- In sched_pickcpu() be more careful taking previous CPU on SMT systems.
Do it only if all other logical CPUs of that physical one are idle to avoid
extra resource sharing.
 - In sched_pickcpu() change general logic of CPU selection. First
look for idle CPU, sharing last level cache with previously used one,
skipping SMT CPU groups. If none found, search all CPUs for the least loaded
one, where the thread with its priority can run now. If none found, search
just for the least loaded CPU.
 - Make cpu_search() compare lowest/highest CPU load when comparing CPU
groups with equal load. That allows to differentiate 1+1 and 2+0 loads.
 - Make cpu_search() to prefer specified (previous) CPU or group if load
is equal. This improves cache affinity for more complicated topologies.
 - Randomize CPU selection if above factors are equal. Previous code tend
to prefer CPUs with lower IDs, causing unneeded collisions.
 - Rework periodic balancer in sched_balance_group(). With cpu_search()
more intelligent now, make balansing process flat, removing recursion
over the topology tree. That fixes double swap problem and makes load
distribution more even and predictable.

All together this gives 10-15% performance improvement in many tests on
CPUs with SMT, such as Core i7, for number of threads is less then number
of logical CPUs. In some tests it also gives positive effect to systems
without SMT.

Reviewed by:	jeff
Tested by:	flo, hackers@
MFC after:	1 month
Sponsored by:	iXsystems, Inc.
2012-02-27 10:31:54 +00:00
John Baldwin
7e3a96ea37 Some small fixes to CPU accounting for threads:
- Only initialize the per-cpu switchticks and switchtime in sched_throw()
  for the very first context switch on APs during boot.  This avoids a
  small gap between the middle of thread_exit() and sched_throw() where
  time is not accounted to any thread.
- In thread_exit(), update the timestamp bookkeeping to track the changes
  to mi_switch() introduced by td_rux so that the code once again matches
  the comment claiming it is mimicing mi_switch().  Specifically, only
  update the per-thread stats directly and depend on ruxagg() to update
  p_rux rather than adjusting p_rux directly.  While here, move the
  timestamp bookkeeping as late in the function as possible.

Reviewed by:	bde, kib
MFC after:	1 week
2012-01-03 21:03:28 +00:00
John Baldwin
0c0d27d5dd Cap the priority calculated from the current thread's running tick count
at SCHED_PRI_RANGE to prevent overflows in the priority value.  This can
happen due to irregularities with clock interrupts under certain
virtualization environments.

Tested by:	Larry Rosenman  ler lerctr org
MFC after:	2 weeks
2011-12-29 16:17:16 +00:00
Andriy Gapon
167057914b ule: ensure that batch timeshare threads are scheduled fairly
With the previous code, if the range of priorities for timeshare batch
threads was greater than RQ_NQS, then the threads with low priorities in
the part of the range above RQ_NQS would be scheduled to the run-queues
as if they had high priorities at the beginning of the range.
In other words, threads with a nice level of +N could be scheduled as
if they had a nice level of -M.

Reported by:	George Mitchell <george@m5p.com>
Reviewed by:	jhb
Tested by:	George Mitchell <george@m5p.com> (earlier version)
MFC after:	1 week
2011-12-19 20:01:21 +00:00
Marius Strobl
880bf8b9bd - Currently, sched_balance_pair() may cause a CPU to send an IPI_PREEMPT to
itself, which sparc64 hardware doesn't support. One way to solve this
  would be to directly call sched_preempt() instead of issuing a self-IPI.
  However, quoting jhb@:
  "On the other hand, you can probably just skip the IPI entirely if we are
  going to send it to the current CPU.  Presumably, once this routine
  finishes, the current CPU will exit softlock (or will do so "soon") and
  will then pick the next thread to run based on the adjustments made in
  this routine, so there's no need to IPI the CPU running this routine
  anyway.  I think this is the better solution.  Right now what is probably
  happening on other platforms is as soon as this routine finishes the CPU
  processes its self-IPI and causes mi_switch() which will just switch back
  to the softclock thread it is already running."
- With r226054 and the the above change in place, sparc64 now no longer is
  incompatible with ULE and vice versa. However, powerpc/E500 still is.

Submitted by:	jhb
Reviewed by:	jeff
2011-10-06 11:48:13 +00:00
Xin LI
cd39bb098e Fix format strings for KTR_STATE in 4BSD ad ULE schedulers.
Submitted by:	Ivan Klymenko <fidaj@ukr.net>
PR:		kern/159904, kern/159905
MFC after:	2 weeks
Approved by:	re (kib)
2011-08-26 18:00:07 +00:00
Attilio Rao
6338c57958 Remove explicit MAXCPU usage from sys/pcpu.h avoiding a namespace
pollution.  That is a step further in the direction of building correct
policies for userland and modules on how to deal with the number of
maxcpus at runtime.

Reported by:	jhb
Reviewed and tested by:	pluknet
Approved by:	re (kib)
2011-07-19 16:50:55 +00:00
Attilio Rao
71a19bdc64 Commit the support for removing cpumask_t and replacing it directly with
cpuset_t objects.
That is going to offer the underlying support for a simple bump of
MAXCPU and then support for number of cpus > 32 (as it is today).

Right now, cpumask_t is an int, 32 bits on all our supported architecture.
cpumask_t on the other side is implemented as an array of longs, and
easilly extendible by definition.

The architectures touched by this commit are the following:
- amd64
- i386
- pc98
- arm
- ia64
- XEN

while the others are still missing.
Userland is believed to be fully converted with the changes contained
here.

Some technical notes:
- This commit may be considered an ABI nop for all the architectures
  different from amd64 and ia64 (and sparc64 in the future)
- per-cpu members, which are now converted to cpuset_t, needs to be
  accessed avoiding migration, because the size of cpuset_t should be
  considered unknown
- size of cpuset_t objects is different from kernel and userland (this is
  primirally done in order to leave some more space in userland to cope
  with KBI extensions). If you need to access kernel cpuset_t from the
  userland please refer to example in this patch on how to do that
  correctly (kgdb may be a good source, for example).
- Support for other architectures is going to be added soon
- Only MAXCPU for amd64 is bumped now

The patch has been tested by sbruno and Nicholas Esborn on opteron
4 x 12 pack CPUs. More testing on big SMP is expected to came soon.
pluknet tested the patch with his 8-ways on both amd64 and i386.

Tested by:	pluknet, sbruno, gianni, Nicholas Esborn
Reviewed by:	jeff, jhb, sbruno
2011-05-05 14:39:14 +00:00
Fabien Thomas
586cb6ec77 Clearing the flag when preempting will let the preempted thread run
too much time. This can finish in a scheduler deadlock with ping-pong
between two threads.

One sample of this is:
- device lapic (to have a preemption point on critical_exit())
- options DEVICE_POLLING with HZ>1499 (to have lapic freq = hardclock freq)
- running a cpu intensive task (that does not enter the kernel)
- only one CPU on SMP or no SMP.

As requested by jhb@ 4BSD have received the same type of fix instead of
propagating the flag to the new thread.

Reviewed by:	jhb, jeff
MFC after:	1 month
2011-03-31 13:59:47 +00:00
John Baldwin
2dc29adb9f Rework realtime priority support:
- Move the realtime priority range up above kernel sleep priorities and
  just below interrupt thread priorities.
- Contract the interrupt and kernel sleep priority ranges a bit so that
  the timesharing priority band can be increased.  The new timeshare range
  is now slightly larger than the old realtime + timeshare ranges.
- Change the ULE scheduler to no longer use realtime priorities for
  interactive threads.  Instead, the larger timeshare range is now split
  into separate subranges for interactive and non-interactive ("batch")
  threads.  The end result is that interactive threads and non-interactive
  threads still use the same priority ranges as before, but realtime
  threads now have a separate, dedicated priority range.
- Do not modify the priority of non-timeshare threads in sched_sleep()
  or via cv_broadcastpri().  Realtime and idle priority threads will
  no longer have their priorities affected by sleeping in the kernel.

Reviewed by:	jeff
2011-01-14 17:06:54 +00:00
John Baldwin
12d56c0f63 Introduce two new helper macros to define the priority ranges used for
interactive timeshare threads (PRI_*_INTERACTIVE) and non-interactive
timeshare threads (PRI_*_BATCH) and use these instead of PRI_*_REALTIME
and PRI_*_TIMESHARE.  No functional change.

Reviewed by:	jeff
2011-01-13 14:22:27 +00:00
John Baldwin
c9a8cba456 Always use PRI_BASE() when checking the base type of a thread's priority
class.

MFC after:	2 weeks
2011-01-11 22:13:19 +00:00
John Baldwin
789200082c Fix two harmless off-by-one errors.
Reviewed by:	jeff
MFC after:	2 weeks
2011-01-10 20:48:10 +00:00
John Baldwin
22d19207e9 - Move sched_fork() later in fork() after the various sections of the new
thread and proc have been copied and zeroed from the old thread and
  proc.  Otherwise attempts to modify thread or process data in sched_fork()
  could be undone.
- Don't copy td_{base,}_user_pri from the old thread to the new thread in
  sched_fork_thread() in ULE.  This is already done courtesy the bcopy()
  of the thread copy region.
- Always initialize the real priority (td_priority) of new threads to the
  new thread's base priority (td_base_pri) to avoid bogusly inheriting a
  borrowed priority from the parent thread.

MFC after:	2 weeks
2011-01-06 22:24:00 +00:00
David Xu
c8e368a933 - Follow r216313, the sched_unlend_user_prio is no longer needed, always
use sched_lend_user_prio to set lent priority.
- Improve pthread priority-inherit mutex, when a contender's priority is
  lowered, repropagete priorities, this may cause mutex owner's priority
  to be lowerd, in old code, mutex owner's priority is rise-only.
2010-12-29 09:26:46 +00:00
David Xu
acbe332a58 MFp4:
It is possible a lower priority thread lending priority to higher priority
thread, in old code, it is ignored, however the lending should always be
recorded, add field td_lend_user_pri to fix the problem, if a thread does
not have borrowed priority, its value is PRI_MAX.

MFC after: 1 week
2010-12-09 02:42:02 +00:00
Edward Tomasz Napierala
4220337804 Remove unused variables. 2010-11-13 11:54:04 +00:00
Attilio Rao
9f518f2068 Fix typos.
Submitted by:	gianni
MFC after:	3 days
2010-11-10 21:06:49 +00:00
David Xu
444528c026 Use integer for size of cpuset, as it won't be bigger than INT_MAX,
This is requested by bge.
Also move the sysctl into file kern_cpuset.c, because it should
always be there, it is independent of thread scheduler.
2010-11-01 00:42:25 +00:00
David Xu
b67cc292dc Add sysctl kern.sched.cpusetsize to export the size of kernel cpuset,
also add sysconf() key _SC_CPUSET_SIZE to get sysctl value.

Submitted by: gcooper
2010-10-29 13:31:10 +00:00
John Baldwin
a8103ae8ca Comment nit, set TDF_NEEDRESCHED after the comment describing why it is
done rather than before.

MFC after:	1 week
2010-09-21 19:12:22 +00:00
Andriy Gapon
19b8a6dbc1 kern.sched.topology_spec sysctl: use step of 1 for group levels numeration
This is just a cosmetic change for prettier output.
'indent' variable/parameter serves two purposes: it specifies whitespace
indentation level and also implies cpu group level/depth.
It would have been better to split those two uses,
but for now just a simple change.

MFC after:	1 week
2010-09-18 11:16:43 +00:00
Alexander Motin
a157e42516 Refactor timer management code with priority to one-shot operation mode.
The main goal of this is to generate timer interrupts only when there is
some work to do. When CPU is busy interrupts are generating at full rate
of hz + stathz to fullfill scheduler and timekeeping requirements. But
when CPU is idle, only minimum set of interrupts (down to 8 interrupts per
second per CPU now), needed to handle scheduled callouts is executed.
This allows significantly increase idle CPU sleep time, increasing effect
of static power-saving technologies. Also it should reduce host CPU load
on virtualized systems, when guest system is idle.

There is set of tunables, also available as writable sysctls, allowing to
control wanted event timer subsystem behavior:
  kern.eventtimer.timer - allows to choose event timer hardware to use.
On x86 there is up to 4 different kinds of timers. Depending on whether
chosen timer is per-CPU, behavior of other options slightly differs.
  kern.eventtimer.periodic - allows to choose periodic and one-shot
operation mode. In periodic mode, current timer hardware taken as the only
source of time for time events. This mode is quite alike to previous kernel
behavior. One-shot mode instead uses currently selected time counter
hardware to schedule all needed events one by one and program timer to
generate interrupt exactly in specified time. Default value depends of
chosen timer capabilities, but one-shot mode is preferred, until other is
forced by user or hardware.
  kern.eventtimer.singlemul - in periodic mode specifies how much times
higher timer frequency should be, to not strictly alias hardclock() and
statclock() events. Default values are 2 and 4, but could be reduced to 1
if extra interrupts are unwanted.
  kern.eventtimer.idletick - makes each CPU to receive every timer interrupt
independently of whether they busy or not. By default this options is
disabled. If chosen timer is per-CPU and runs in periodic mode, this option
has no effect - all interrupts are generating.

As soon as this patch modifies cpu_idle() on some platforms, I have also
refactored one on x86. Now it makes use of MONITOR/MWAIT instrunctions
(if supported) under high sleep/wakeup rate, as fast alternative to other
methods. It allows SMP scheduler to wake up sleeping CPUs much faster
without using IPI, significantly increasing performance on some highly
task-switching loads.

Tested by:	many (on i386, amd64, sparc64 and powerc)
H/W donated by:	Gheorghe Ardelean
Sponsored by:	iXsystems, Inc.
2010-09-13 07:25:35 +00:00
Alexander Motin
9f9ad565a1 Do not IPI CPU that is already spinning for load. It doubles effect of
spining (comparing to MWAIT) on some heavly switching test loads.
2010-09-10 13:24:47 +00:00
Matthew D Fleming
ba4932b5a2 Fix UP build.
MFC after:	2 weeks
2010-09-02 16:23:05 +00:00
Matthew D Fleming
0f7a0ebd59 Fix a bug with sched_affinity() where it checks td_pinned of another
thread in a racy manner, which can lead to attempting to migrate a
thread that is pinned to a CPU.  Instead, have sched_switch() determine
which CPU a thread should run on if the current one is not allowed.

KASSERT in sched_bind() that the thread is not yet pinned to a CPU.

KASSERT in sched_switch() that only migratable threads or those moving
due to a sched_bind() are changing CPUs.

sched_affinity code came from jhb@.

MFC after:	2 weeks
2010-09-01 20:32:47 +00:00
John Baldwin
8c7a92bd4a Remove unused KTRACE includes. 2010-08-19 16:41:27 +00:00
John Baldwin
d9d8d1449d Add a new ipi_cpu() function to the MI IPI API that can be used to send an
IPI to a specific CPU by its cpuid.  Replace calls to ipi_selected() that
constructed a mask for a single CPU with calls to ipi_cpu() instead.  This
will matter more in the future when we transition from cpumask_t to
cpuset_t for CPU masks in which case building a CPU mask is more expensive.

Submitted by:	peter, sbruno
Reviewed by:	rookie
Obtained from:	Yahoo! (x86)
MFC after:	1 month
2010-08-06 15:36:59 +00:00
Ivan Voras
611daf7e62 A cosmetic change - don't output empty <flags>. 2010-07-15 13:46:30 +00:00
John Baldwin
3aa6d94e0c Update several places that iterate over CPUs to use CPU_FOREACH(). 2010-06-11 18:46:34 +00:00
Ivan Voras
a401f2d098 Unconfuse THREAD and SMT flags 2010-06-10 11:48:14 +00:00
Ivan Voras
5368befb66 Cosmetic change to XML - less ugly newlines 2010-06-10 11:01:17 +00:00
John Baldwin
3da35a0a52 Assert that the thread lock is held in sched_pctcpu() instead of
recursively acquiring it.  All of the current callers already hold the
lock.

MFC after:	1 month
2010-06-03 16:02:11 +00:00
John Baldwin
1d7830edd5 Assert that the thread passed to sched_bind() and sched_unbind() is
curthread as those routines are only supported for curthread currently.

MFC after:	1 month
2010-05-21 17:15:56 +00:00
Randall Stewart
4542827d4d This pushes all of JC's patches that I have in place. I
am now able to run 32 cores ok.. but I still will hang
on buildworld with a NFS problem. I suspect I am missing
a patch for the netlogic rge driver.

JC check and see if I am missing anything except your
core-mask changes

Obtained from:	JC
2010-05-16 19:43:48 +00:00
Attilio Rao
b0b9dee5c9 - Fix a race in sched_switch() of sched_4bsd.
In the case of the thread being on a sleepqueue or a turnstile, the
  sched_lock was acquired (without the aid of the td_lock interface) and
  the td_lock was dropped. This was going to break locking rules on other
  threads willing to access to the thread (via the td_lock interface) and
  modify his flags (allowed as long as the container lock was different
  by the one used in sched_switch).
  In order to prevent this situation, while sched_lock is acquired there
  the td_lock gets blocked. [0]
- Merge the ULE's internal function thread_block_switch() into the global
  thread_lock_block() and make the former semantic as the default for
  thread_lock_block(). This means that thread_lock_block() will not
  disable interrupts when called (and consequently thread_unlock_block()
  will not re-enabled them when called). This should be done manually
  when necessary.
  Note, however, that ULE's thread_unblock_switch() is not reaped
  because it does reflect a difference in semantic due in ULE (the
  td_lock may not be necessarilly still blocked_lock when calling this).
  While asymmetric, it does describe a remarkable difference in semantic
  that is good to keep in mind.

[0] Reported by:	Kohji Okuno
			<okuno dot kohji at jp dot panasonic dot com>
Tested by:		Giovanni Trematerra
			<giovanni dot trematerra at gmail dot com>
MFC:			2 weeks
2010-01-23 15:54:21 +00:00
Konstantin Belousov
17c4c3563c Allow swap out of the kernel stack for the thread with priority greater
or equial then PSOCK, not less or equial. Higher priority has lesser
numerical value.

Existing test does not allow for swapout of the thread waiting for
advisory lock, for exiting child or sleeping for timeout. On the other
hand, high-priority waiters of VFS/VM events can be swapped out.

Tested by:	pho
Reviewed by:	jhb
MFC after:	1 week
2009-12-31 18:52:58 +00:00
Ed Schouten
62375ca8c1 Don't forget to use `void' for sched_balance(). It has no arguments. 2009-12-28 23:12:12 +00:00
Ivan Voras
cbc4ea28e2 Make ULE process usage (%CPU) accounting usable again by keeping track
of the last tick we incremented on.

Submitted by:	matthew.fleming/at/isilon.com, is/at/rambler-co.ru
Reviewed by:	jeff (who thinks there should be a better way in the future)
Approved by:	gnn (mentor)
MFC after:	3 weeks
2009-11-24 19:57:41 +00:00
Attilio Rao
1b9d701fee Split P_NOLOAD into a per-thread flag (TDF_NOLOAD).
This improvements aims for avoiding further cache-misses in scheduler
specific functions which need to keep track of average thread running
time and further locking in places setting for this flag.

Reported by:	jeff (originally), kris (currently)
Reviewed by:	jhb
Tested by:	Giuseppe Cocomazzi <sbudella at email dot it>
2009-11-03 16:46:52 +00:00
John Baldwin
a0f1535205 Fix a sign bug in the handling of nice priorities when computing the
interactive score for a thread.

Submitted by:	Taku YAMAMOTO  taku of tackymt.homeip.net
Reviewed by:	jeff
MFC after:	3 days
2009-10-15 11:41:12 +00:00
Attilio Rao
435068aab7 Fix sched_switch_migrate():
- In 8.x and above the run-queue locks are nomore shared even in the
  HTT case, so remove the special case.
- The deadlock explained in the removed comment here is still possible
  even with different locks, with the contribution of tdq_lock_pair().
  An explanation is here:
  (hypotesis: a thread needs to migrate on another CPU, thread1 is doing
  sched_switch_migrate() and thread2 is the one handling the sched_switch()
  request or in other words, thread1 is the thread that needs to migrate
  and thread2 is a thread that is going to be preempted, most likely an
  idle thread. Also, 'old' is referred to the context (in terms of
  run-queue and CPU) thread1 is leaving and 'new' is referred to the
  context thread1 is going into.  Finally, thread3 is doing tdq_idletd()
  or sched_balance() and definitively doing tdq_lock_pair())

  * thread1 blocks its td_lock. Now td_lock is 'blocked'
  * thread1 drops its old runqueue lock
  * thread1 acquires the new runqueue lock
  * thread1 adds itself to the new runqueue and sends an IPI_PREEMPT
    through tdq_notify() to the new CPU
  * thread1 drops the new lock
  * thread3, scanning the runqueues, locks the old lock
  * thread2 received the IPI_PREEMPT and does thread_lock() with td_lock
    pointing to the new runqueue
  * thread3 wants to acquire the new runqueue lock, but it can't because
    it is held by thread2 so it spins
  * thread1 wants to acquire old lock, but as long as it is held by
    thread3 it can't
  * thread2 going further, at some point wants to switchin in thread1,
    but it will wait forever because thread1->td_lock is in blocked state

This deadlock has been manifested mostly on 7.x and reported several time
on mailing lists under the voice 'spinlock held too long'.
Many thanks to des@ for having worked hard on producing suitable textdumps
and Jeff for help on the comment wording.

Reviewed by:	jeff
Reported by:	des, others
Tested by:	des, Giovanni Trematerra
		<giovanni dot trematerra at gmail dot com>
		(STABLE_7 based version)
2009-09-15 16:56:17 +00:00
Jeff Roberson
c76ee82799 - Use cpuset_t and the CPU_ macros in place of cpumask_t so that ULE
supports arbitrary numbers of cpus rather than being limited by
   cpumask_t to the number of bits in a long.
2009-06-23 22:12:37 +00:00