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<chapter id="tc-manual" xreflabel="Thrcheck: thread error detector">
  <title>Thrcheck: a thread error detector</title>

<para>To use this tool, you must specify
<computeroutput>--tool=thrcheck</computeroutput> on the Valgrind
command line.</para>


<sect1 id="tc-manual.overview" xreflabel="Overview">
<title>Overview</title>

<para>Thrcheck is a Valgrind tool for detecting synchronisation errors
in C, C++ and Fortran programs that use the POSIX pthreads
threading primitives.</para>

<para>The main abstractions in POSIX pthreads are: a set of threads
sharing a common address space, thread creation, thread joinage,
thread exit, mutexes (locks), condition variables (inter-thread event
notifications), reader-writer locks, and semaphores.</para>

<para>Thrcheck is aware of all these abstractions and tracks their
effects as accurately as it can.  Currently it does not correctly
handle pthread barriers and pthread spinlocks, although it will not
object if you use them.  On x86 and amd64 platforms, it understands
and partially handles implicit locking arising from the use of the
LOCK instruction prefix.
</para>

<para>Thrcheck can detect three classes of errors, which are discussed
in detail in the next three sections:</para>

<orderedlist>
 <listitem>
  <para><link linkend="tc-manual.api-checks">
        Misuses of the POSIX pthreads API.</link></para>
 </listitem>
 <listitem>
  <para><link linkend="tc-manual.lock-orders">
        Potential deadlocks arising from lock
        ordering problems.</link></para>
 </listitem>
 <listitem>
  <para><link linkend="tc-manual.data-races">
        Data races -- accessing memory without adequate locking.
        </link></para>
 </listitem>
</orderedlist>

<para>Following those is a section containing 
<link linkend="tc-manual.effective-use">
hints and tips on how to get the best out of Thrcheck.</link>
</para>

<para>Then there is a
<link linkend="tc-manual.options">summary of command-line
options.</link>
</para>

<para>Finally, there is 
<link linkend="tc-manual.todolist">a brief summary of areas in which Thrcheck
could be improved.</link>
</para>

</sect1>


<sect1 id="tc-manual.api-checks" xreflabel="API Checks">
<title>Detected errors: Misuses of the POSIX pthreads API</title>

<para>Thrcheck intercepts calls to many POSIX pthreads functions, and
is therefore able to report on various common problems.  Although
these are unglamourous errors, their presence can lead to undefined
program behaviour and hard-to-find bugs later in execution.  The
detected errors are:</para>

<itemizedlist>
 <listitem><para>unlocking an invalid mutex</para></listitem>
 <listitem><para>unlocking a not-locked mutex</para></listitem>
 <listitem><para>unlocking a mutex held by a different
                 thread</para></listitem>
 <listitem><para>destroying an invalid or a locked mutex</para></listitem>
 <listitem><para>recursively locking a non-recursive mutex</para></listitem>
 <listitem><para>deallocation of memory that contains a
                 locked mutex</para></listitem>
 <listitem><para>passing mutex arguments to functions expecting
                 reader-writer lock arguments, and vice
                 versa</para></listitem>
 <listitem><para>when a POSIX pthread function fails with an
                 error code that must be handled</para></listitem>
 <listitem><para>when a thread exits whilst still holding locked
                 locks</para></listitem>
 <listitem><para>calling <computeroutput>pthread_cond_wait</computeroutput>
                 with a not-locked mutex, or one locked by a different
                 thread</para></listitem>
</itemizedlist>

<para>Checks pertaining to the validity of mutexes are generally also
performed for reader-writer locks.</para>

<para>Various kinds of this-can't-possibly-happen events are also
reported.  These usually indicate bugs in the system threading
library.</para>

<para>Reported errors always contain a primary stack trace indicating
where the error was detected.  They may also contain auxiliary stack
traces giving additional information.  In particular, most errors
relating to mutexes will also tell you where that mutex first came to
Thrcheck's attention (the "<computeroutput>was first observed
at</computeroutput>" part), so you have a chance of figuring out which
mutex it is referring to.  For example:</para>

<programlisting><![CDATA[
Thread #1 unlocked a not-locked lock at 0x7FEFFFA90
   at 0x4C2408D: pthread_mutex_unlock (tc_intercepts.c:492)
   by 0x40073A: nearly_main (tc09_bad_unlock.c:27)
   by 0x40079B: main (tc09_bad_unlock.c:50)
  Lock at 0x7FEFFFA90 was first observed
   at 0x4C25D01: pthread_mutex_init (tc_intercepts.c:326)
   by 0x40071F: nearly_main (tc09_bad_unlock.c:23)
   by 0x40079B: main (tc09_bad_unlock.c:50)
]]></programlisting>

<para>Thrcheck has a way of summarising thread identities, as
evidenced here by the text "<computeroutput>Thread
#1</computeroutput>".  This is so that it can speak about threads and
sets of threads without overwhelming you with details.  See 
<link linkend="tc-manual.data-races.errmsgs">below</link>
for more information on interpreting error messages.</para>

</sect1>


<sect1 id="tc-manual.lock-orders" xreflabel="Lock Orders">
<title>Detected errors: Inconsistent Lock Orderings</title>

<para>In this section, and in general, to "acquire" a lock simply
means to lock that lock, and to "release" a lock means to unlock
it.</para>

<para>Thrcheck monitors the order in which threads acquire locks.
This allows it to detect potential deadlocks which could arise from
the formation of cycles of locks.  Detecting such inconsistencies is
useful because, whilst actual deadlocks are fairly obvious, potential
deadlocks may never be discovered during testing and could later lead
to hard-to-diagnose in-service failures.</para>

<para>The simplest example of such a problem is as
follows.</para>

<itemizedlist>
 <listitem><para>Imagine some shared resource R, which, for whatever
  reason, is guarded by two locks, L1 and L2, which must both be held
  when R is accessed.</para>
 </listitem>
 <listitem><para>Suppose a thread acquires L1, then L2, and proceeds
  to access R.  The implication of this is that all threads in the
  program must acquire the two locks in the order first L1 then L2.
  Not doing so risks deadlock.</para>
 </listitem>
 <listitem><para>The deadlock could happen if two threads -- call them
  T1 and T2 -- both want to access R.  Suppose T1 acquires L1 first,
  and T2 acquires L2 first.  Then T1 tries to acquire L2, and T2 tries
  to acquire L1, but those locks are both already held.  So T1 and T2
  become deadlocked.</para>
 </listitem>
</itemizedlist>

<para>Thrcheck builds a directed graph indicating the order in which
locks have been acquired in the past.  When a thread acquires a new
lock, the graph is updated, and then checked to see if it now contains
a cycle.  The presence of a cycle indicates a potential deadlock involving
the locks in the cycle.</para>

<para>In simple situations, where the cycle only contains two locks,
Thrcheck will show where the required order was established:</para>

<programlisting><![CDATA[
Thread #1: lock order "0x7FEFFFAB0 before 0x7FEFFFA80" violated
   at 0x4C23C91: pthread_mutex_lock (tc_intercepts.c:388)
   by 0x40081F: main (tc13_laog1.c:24)
  Required order was established by acquisition of lock at 0x7FEFFFAB0
   at 0x4C23C91: pthread_mutex_lock (tc_intercepts.c:388)
   by 0x400748: main (tc13_laog1.c:17)
  followed by a later acquisition of lock at 0x7FEFFFA80
   at 0x4C23C91: pthread_mutex_lock (tc_intercepts.c:388)
   by 0x400773: main (tc13_laog1.c:18)
]]></programlisting>

<para>When there are more than two locks in the cycle, the error is
equally serious.  However, at present Thrcheck does not show the locks
involved, so as to avoid flooding you with information.  That could be
fixed in future.  For example, here is a an example involving a cycle
of five locks from a naive implementation the famous Dining
Philosophers problem
(see <computeroutput>thrcheck/tests/tc14_laog_dinphils.c</computeroutput>).
In this case Thrcheck has detected that all 5 philosophers could
simultaneously pick up their left fork and then deadlock whilst
waiting to pick up their right forks.</para>

<programlisting><![CDATA[
Thread #6: lock order "0x6010C0 before 0x601160" violated
   at 0x4C23C91: pthread_mutex_lock (tc_intercepts.c:388)
   by 0x4007C0: dine (tc14_laog_dinphils.c:19)
   by 0x4C25DF7: mythread_wrapper (tc_intercepts.c:178)
   by 0x4E2F09D: start_thread (in /lib64/libpthread-2.5.so)
   by 0x51054CC: clone (in /lib64/libc-2.5.so)
]]></programlisting>

</sect1>


<sect1 id="tc-manual.data-races" xreflabel="Data Races">
<title>Detected errors: Data Races</title>

<para>A data race happens, or could happen, when two threads
access a shared memory location without using suitable locks to
ensure single-threaded access.  Such missing locking can cause
obscure timing dependent bugs.  Ensuring programs are race-free is
one of the central difficulties of threaded programming.</para>

<para>Reliably detecting races is a difficult problem, and most
of Thrcheck's internals are devoted to do dealing with it.  
As a consequence this section is somewhat long and involved.
We begin with a simple example.</para>


<sect2 id="tc-manual.data-races.example" xreflabel="Simple Race">
<title>A Simple Data Race</title>

<para>About the simplest possible example of a race is as follows.  In
this program, it is impossible to know what the value
of <computeroutput>var</computeroutput> is at the end of the program.
Is it 2 ?  Or 1 ?</para>

<programlisting><![CDATA[
#include <pthread.h>

int var = 0;

void* child_fn ( void* arg ) {
   var++; /* Unprotected relative to parent */ /* this is line 6 */
   return NULL;
}

int main ( void ) {
   pthread_t child;
   pthread_create(&child, NULL, child_fn, NULL);
   var++; /* Unprotected relative to child */ /* this is line 13 */
   pthread_join(child, NULL);
   return 0;
}
]]></programlisting>

<para>The problem is there is nothing to
stop <computeroutput>var</computeroutput> being updated simultaneously
by both threads.  A correct program would 
protect <computeroutput>var</computeroutput> with a lock of type
<computeroutput>pthread_mutex_t</computeroutput>, which is acquired
before each access and released afterwards.  Thrcheck's output for
this program is:</para>

<programlisting><![CDATA[
Thread #1 is the program's root thread

Thread #2 was created
   at 0x510548E: clone (in /lib64/libc-2.5.so)
   by 0x4E2F305: do_clone (in /lib64/libpthread-2.5.so)
   by 0x4E2F7C5: pthread_create@@GLIBC_2.2.5 (in /lib64/libpthread-2.5.so)
   by 0x4C23870: pthread_create@* (tc_intercepts.c:198)
   by 0x4005F1: main (simple_race.c:12)

Possible data race during write of size 4 at 0x601034
   at 0x4005F2: main (simple_race.c:13)
  Old state: shared-readonly by threads #1, #2
  New state: shared-modified by threads #1, #2
  Reason:    this thread, #1, holds no consistent locks
  Location 0x601034 has never been protected by any lock
]]></programlisting>

<para>This is quite a lot of detail for an apparently simple error.
The last clause is the main error message.  It says there is a race as
a result of a write of size 4 (bytes), at 0x601034, which is
presumably the address of <computeroutput>var</computeroutput>,
happening in function <computeroutput>main</computeroutput> at line 13
in the program.</para>

<para>Note that it is purely by chance that the race is
reported for the parent thread's access.  It could equally have been
reported instead for the child's access, at line 6.  The error will
only be reported for one of the locations, since neither the parent
nor child is, by itself, incorrect.  It is only when both access
<computeroutput>var</computeroutput> without a lock that an error
exists.</para>

<para>The error message shows some other interesting details.  The
sections below explain them.  Here we merely note their presence:</para>

<itemizedlist>
 <listitem><para>Thrcheck maintains some kind of state machine for the
  memory location in question, hence the "<computeroutput>Old
  state:</computeroutput>" and "<computeroutput>New
  state:</computeroutput>" lines.</para>
 </listitem>
 <listitem><para>Thrcheck keeps track of which threads have accessed
  the location: "<computeroutput>threads #1, #2</computeroutput>".
  Before printing the main error message, it prints the creation
  points of these two threads, so you can see which threads it is
  referring to.</para>
 </listitem>
 <listitem><para>Thrcheck tries to provide an explaination of why the
  race exists: "<computeroutput>Location 0x601034 has never been
  protected by any lock</computeroutput>".</para>
 </listitem>
</itemizedlist>

<para>Understanding the memory state machine is central to
understanding Thrcheck's race-detection algorithm.  The next three
subsections explain this.</para>

</sect2>


<sect2 id="tc-manual.data-races.memstates" xreflabel="Memory States">
<title>Thrcheck's Memory State Machine</title>

<para>Thrcheck tracks the state of every byte of memory used by your
program.  There are a number of states, but only three are
interesting:</para>

<itemizedlist>
 <listitem><para>Exclusive: memory in this state is regarded as owned
  exclusively by one particular thread.  That thread may read and
  write it without a lock.  Even in highly threaded programs, the
  majority of locations never leave the Exclusive state, since most
  data is thread-private.</para>
 </listitem>
 <listitem><para>Shared-Readonly: memory in this state is regarded as
  shared by multiple threads.  In this state, any thread may read the
  memory without a lock, reflecting the fact that readonly data may
  safely be shared between threads without locking.</para>
 </listitem>
 <listitem><para>Shared-Modified: memory in this state is regarded as
  shared by multiple threads, at least one of which has written to it.
  All participating threads must hold at least one lock in common when
  accessing the memory.  If no such lock exists, Thrcheck reports a
  race error.</para>
 </listitem>
</itemizedlist>

<para>Let's review the simple example above with this in mind.  When
the program starts, <computeroutput>var</computeroutput> is not in any
of these states.  Either the parent or child thread gets to its
<computeroutput>var++</computeroutput> first, and thereby
thereby gets Exclusive ownership of the location.</para>

<para>The later-running thread now arrives at
its <computeroutput>var++</computeroutput> statement.  It first reads
the existing value from memory.
Because <computeroutput>var</computeroutput> is currently marked as
owned exclusively by the other thread, its state is changed to
shared-readonly by both threads.</para>

<para>This same thread adds one to the value it has and stores it back
in <computeroutput>var</computeroutput>.  This causes another state
change, this time to the shared-modified state.  Because Thrcheck has
also been tracking which threads hold which locks, it can see that
<computeroutput>var</computeroutput> is in shared-modified state but
no lock has been used to consistently protect it.  Hence a race is
reported exactly at the transition from shared-readonly to
shared-modified.</para>

<para>The essence of the algorithm is this.  Thrcheck keeps track of
each memory location that has been accessed by more than one thread.
For each such location it incrementally infers the set of locks which
have consistently been used to protect that location.  If the
location's lockset becomes empty, and at some point one of the threads
attempts to write to it, a race is then reported.</para>

<para>This technique is known as "lockset inference" and was
introduced in: "Eraser: A Dynamic Data Race Detector for Multithreaded
Programs" (Stefan Savage, Michael Burrows, Greg Nelson, Patrick
Sobalvarro and Thomas Anderson, ACM Transactions on Computer Systems,
15(4):391-411, November 1997).</para>

<para>Lockset inference has since been widely implemented, studied and
extended.  Thrcheck incorporates several refinements aimed at avoiding
the high false error rate that naive versions of the algorithm suffer
from.  A 
<link linkend="tc-manual.data-races.summary">summary of the complete
algorithm used by Thrcheck</link> is presented below.  First, however,
it is important to understand details of transitions pertaining to the
Exclusive-ownership state.</para>

</sect2>


<sect2 id="tc-manual.data-races.exclusive" xreflabel="Excl Transfers">
<title>Transfers of Exclusive Ownership Between Threads</title>

<para>As presented, the algorithm is far too strict.  It reports many
errors in perfectly correct, widely used parallel programming
constructions, for example, using child worker threads and worker
thread pools.</para>

<para>To avoid these false errors, we must refine the algorithm so
that it keeps memory in an Exclusive ownership state in cases where it
would otherwise decay into a shared-readonly or shared-modified state.
Recall that Exclusive ownership is special in that it grants the
owning thread the right to access memory without use of any locks.  In
order to support worker-thread and worker-thread-pool idioms, we will
allow threads to steal exclusive ownership of memory from other
threads under certain circumstances.</para>

<para>Here's an example.  Imagine a parent thread creates child
threads to do units of work.  For each unit of work, the parent
allocates a work buffer, fills it in, and creates the child thread,
handing it a pointer to the buffer.  The child reads/writes the buffer
and eventually exits, and the waiting parent then extracts the results
from the buffer:</para>

<programlisting><![CDATA[
typedef ... Buffer;

pthread_t child;
Buffer    buf;

/* ---- Parent ---- */                          /* ---- Child ---- */

/* parent writes workload into buf */
pthread_create( &child, child_fn, &buf );

/* parent does not read */                      void child_fn ( Buffer* buf ) {
/* or write buf */                                 /* read/write buf */
                                                }

pthread_join ( child );
/* parent reads results from buf */
]]></programlisting>

<para>Although <computeroutput>buf</computeroutput> is accessed by
both threads, neither uses locks, yet the program is race-free.  The
essential observation is that the child's creation and exit create
synchronisation events between it and the parent.  These force the
child's accesses to <computeroutput>buf</computeroutput> to happen
after the parent initialises <computeroutput>buf</computeroutput>, and
before the parent reads the results
from <computeroutput>buf</computeroutput>.</para>

<para>To model this, Thrcheck allows the child to steal, from the
parent, exclusive ownership of any memory exclusively owned by the
parent before the pthread_create call.  Similarly, once the parent's
pthread_join call returns, it can steal back ownership of memory
exclusively owned by the child.  In this way ownership
of <computeroutput>buf</computeroutput> is transferred from parent to
child and back, so the basic algorithm does not report any races
despite the absence of any locking.</para>

<para>Note that the child may only steal memory owned by the parent
prior to the pthread_create call.  If the child attempts to read or
write memory which is also accessed by the parent in between the
pthread_create and pthread_join calls, an error is still
reported.</para>

<para>This technique was introduced with the name "thread lifetime
segments" in "Runtime Checking of Multithreaded Applications with
Visual Threads" (Jerry J. Harrow, Jr, Proceedings of the 7th
International SPIN Workshop on Model Checking of Software Stanford,
California, USA, August 2000, LNCS 1885, pp331--342).  Thrcheck
implements an extended version of it.  Specifically, Thrcheck allows
transfer of exclusive ownership in the following situations:</para>

<itemizedlist>
 <listitem><para>At thread creation: a child can acquire ownership of
  memory held exclusively by the parent prior to the child's
  creation.</para>
 </listitem>
 <listitem><para>At thread joining: the joiner (thread not exiting)
  can acquire ownership of memory held exclusively by the joinee
  (thread that is exiting) at the point it exited.</para>
 </listitem>
 <listitem><para>At condition variable signallings and broadcasts.  A
  thread Tw which completes a pthread_cond_wait call as a result of
  a signal or broadcast on the same condition variable by some other
  thread Ts, may acquire ownership of memory held exclusively by
  Ts prior to the pthread_cond_signal/broadcast
  call.</para>
 </listitem>
 <listitem><para>At semaphore posts (sem_post) calls.  A thread Tw
  which completes a sem_wait call call as a result of a sem_post call
  on the same semaphore by some other thread Tp, may acquire
  ownership of memory held exclusively by Tp prior to the sem_post
  call.</para>
 </listitem>
</itemizedlist>

</sect2>


<sect2 id="tc-manual.data-races.re-excl" xreflabel="Re-Excl Transfers">
<title>Restoration of Exclusive Ownership</title>

<para>Another common idiom is to partition the lifetime of the program
as a whole into several distinct phases.  In some of those phases, a
memory location may be accessed by multiple threads and so require
locking.  In other phases only one thread exists and so can access the
memory without locking.  For example:</para>

<programlisting><![CDATA[
int             var = 0;                         /* shared variable */
pthread_mutex_t mx  = PTHREAD_MUTEX_INITIALIZER; /* guard for var */
pthread_t       child;

/* ---- Parent ---- */                          /* ---- Child ---- */

var += 1; /* no lock used */

pthread_create( &child, child_fn, NULL );

                                                void child_fn ( void* uu ) {
pthread_mutex_lock(&mx);                           pthread_mutex_lock(&mx);         
var += 2;                                          var += 3;
pthread_mutex_unlock(&mx);                         pthread_mutex_unlock(&mx);
                                                }

pthread_join ( child );

var += 4; /* no lock used */
]]></programlisting>

<para>This program is correct, but using only the mechanisms described
so far, Thrcheck would report an error at
<computeroutput>var += 4</computeroutput>.  This is because, by that
point, <computeroutput>var</computeroutput> is marked as being in the
state "shared-modified and protected by the
lock <computeroutput>mx</computeroutput>", but is being accessed
without locking.  Really, what we want is
for <computeroutput>var</computeroutput> to return to the parent
thread's exclusive ownership after the child thread has exited.</para>

<para>To make this possible, for every memory location Thrcheck also keeps
track of all the threads that have accessed that location
-- its threadset.  When a thread Tquitter joins back to Tstayer,
Thrcheck examines the locksets of all memory in shared-modified or
shared-readable state.  In each such lockset, if Tquitter is
mentioned, it is removed and replaced by Tstayer.  If, as a result, a
lockset becomes a singleton set containing Tstayer, then the
location's state is changed to belongs-exclusively-to-Tstayer.</para>

<para>In our example, the result is exactly as we desire:
<computeroutput>var</computeroutput> is reacquired exclusively by the
parent after the child exits.</para>

<para>More generally, when a group of threads merges back to a single
thread via a cascade of pthread_join calls, any memory shared by the
group (or a subset of it) ends up being owned exclusively by the sole
surviving thread.  This significantly enhances Thrcheck's flexibility,
since it means that each memory location may make arbitrarily many
transitions between exclusive and shared ownership.  Furthermore, a
different lock may protect the location during each period of shared
ownership.</para>

</sect2>


<sect2 id="tc-manual.data-races.summary" xreflabel="Race Det Summary">
<title>A Summary of the Race Detection Algorithm</title>

<para>Thrcheck looks for memory locations which are accessed by more
than one thread.  For each such location, Thrcheck records which of
the program's locks were held by the accessing thread at the time of
each access.  The hope is to discover that there is indeed at least
one lock which is consistently used by all threads to protect that
location.  If no such lock can be found, then there is apparently no
consistent locking strategy being applied for that location, and so a
possible data race might result.  Thrcheck accordingly reports an
error.</para>

<para>In practice this discipline is far too simplistic, and is
unusable since it reports many races in some widely used and
known-correct programming disciplines.  Thrcheck's checking therefore
incorporates many refinements to this basic idea, and can be
summarised as follows:</para>

<para>The following thread events are intercepted and monitored:</para>

<itemizedlist>
 <listitem><para>thread creation and exiting (pthread_create,
           pthread_join, pthread_exit)</para>
 </listitem>
 <listitem>
  <para>lock acquisition and release (pthread_mutex_lock,
        pthread_mutex_unlock, pthread_rwlock_rdlock,
        pthread_rwlock_wrlock,
        pthread_rwlock_unlock)</para>
 </listitem>
 <listitem>
  <para>inter-thread event notifications (pthread_cond_wait,
        pthread_cond_signal, pthread_cond_broadcast, 
        sem_wait, sem_post)</para>
 </listitem>
</itemizedlist>

<para>Memory allocation and deallocation events are intercepted and
monitored:</para>

<itemizedlist>
 <listitem>
  <para>malloc/new/free/delete and variants</para>
 </listitem>
 <listitem>
  <para>stack allocation and deallocation</para>
 </listitem>
</itemizedlist>

<para>All memory accesses are intercepted and monitored.</para>

<para>By observing the above events, Thrcheck can infer certain
aspects of the program's locking discipline.  Programs which adhere to
the following rules are considered to be acceptable:
</para>

<itemizedlist>
 <listitem>
  <para>A thread may allocate memory, and write initial values into
  it, without locking.  That thread is regarded as owning the memory
  exclusively.</para>
 </listitem>
 <listitem>
  <para>A thread may read and write memory which it owns exclusively,
  without locking.</para>
 </listitem>
 <listitem>
  <para>Memory which is owned exclusively by one thread may be read by
  that thread and others without locking.  However, in this situation
  no thread may do unlocked writes to the memory (except for the owner
  thread's initializing write).</para>
 </listitem>
 <listitem>
  <para>Memory which is shared between multiple threads, one or more
  of which writes to it, must be protected by a lock which is
  correctly acquired and released by all threads accessing the
  memory.</para>
 </listitem>
</itemizedlist>

<para>Any violation of this discipline will cause an error to be reported.
However, two exemptions apply:</para>

<itemizedlist>
 <listitem>
  <para>A thread Y can acquire exclusive ownership of memory
  previously owned exclusively by a different thread X providing
  X's last access and Y's first access are separated by one of the
  following synchronization events:</para>
  <itemizedlist>
   <listitem><para>X creates thread Y</para></listitem>
   <listitem><para>X joins back to Y</para></listitem>
   <listitem><para>X uses a condition-variable to signal at Y, and Y is
   waiting for that event</para></listitem>
   <listitem><para>Y completes a semaphore wait as a result of X signalling 
   on that same semaphore</para></listitem>
  </itemizedlist>
  <para>
  This refinement allows Thrcheck to correctly track the ownership
  state of inter-thread buffers used in the worker-thread and
  worker-thread-pool concurrent programming idioms (styles).</para>
 </listitem>
 <listitem>
  <para>Similarly, if thread Y joins back to thread X, memory
  exclusively owned by Y becomes exclusively owned by X instead.
  Also, memory that has been shared only by X and Y becomes
  exclusively owned by X.  More generally, memory that has been shared
  by X, Y and some arbitrary other set S of threads is re-marked as
  shared by X and S.  Hence, under the right circumstances, memory
  shared amongst multiple threads, all of which join into just one,
  can revert to the exclusive ownership state.</para>
  <para>
  In effect, each memory location may make arbitrarily many
  transitions between exclusive and shared ownership.  Furthermore, a
  different lock may protect the location during each period of shared
  ownership.  This significantly enhances the flexibility of the
  algorithm.</para>
 </listitem>
</itemizedlist>

<para>The ownership state, accessing thread-set and related lock-set
for each memory location are tracked at 8-bit granularity.  This means
the algorithm is precise even for 16- and 8-bit memory
accesses.</para>

<para>Thrcheck correctly handles reader-writer locks in this
framework.  Locations shared between multiple threads can be protected
during reads by locks held in either read-mode or write-mode, but can
only be protected during writes by locks held in write-mode.  Normal
POSIX mutexes are treated as if they are reader-writer locks which are
only ever held in write-mode.</para>

<para>Thrcheck correctly handles POSIX mutexes for which recursive
locking is allowed.</para>

<para>Thrcheck partially correctly handles x86 and amd64 memory access
instructions preceded by a LOCK prefix.  Writes are correctly handled,
by pretending that the LOCK prefix implies acquisition and release of
a magic "bus hardware lock" mutex before and after the instruction.
This unfortunately requires subsequent reads from such locations to
also use a LOCK prefix, which is not required by the real hardware.
Thrcheck does not offer any equivalent handling for atomic sequences
on PowerPC/POWER platforms created by the use of lwarx/stwcx
instructions.</para>

</sect2>


<sect2 id="tc-manual.data-races.errmsgs" xreflabel="Race Error Messages">
<title>Interpreting Race Error Messages</title>

<para>Thrcheck's race detection algorithm collects a lot of
information, and tries to present it in a helpful way when a race is
detected.  Here's an example:</para>

<programlisting><![CDATA[
Thread #2 was created
   at 0x510548E: clone (in /lib64/libc-2.5.so)
   by 0x4E2F305: do_clone (in /lib64/libpthread-2.5.so)
   by 0x4E2F7C5: pthread_create@@GLIBC_2.2.5 (in /lib64/libpthread-2.5.so)
   by 0x4C23870: pthread_create@* (tc_intercepts.c:198)
   by 0x400CEF: main (tc17_sembar.c:195)

// And the same for threads #3, #4 and #5 -- omitted for conciseness

Possible data race during read of size 4 at 0x602174
   at 0x400BE5: gomp_barrier_wait (tc17_sembar.c:122)
   by 0x400C44: child (tc17_sembar.c:161)
   by 0x4C25DF7: mythread_wrapper (tc_intercepts.c:178)
   by 0x4E2F09D: start_thread (in /lib64/libpthread-2.5.so)
   by 0x51054CC: clone (in /lib64/libc-2.5.so)
  Old state: shared-modified by threads #2, #3, #4, #5
  New state: shared-modified by threads #2, #3, #4, #5
  Reason:    this thread, #2, holds no consistent locks
  Last consistently used lock for 0x602174 was first observed
   at 0x4C25D01: pthread_mutex_init (tc_intercepts.c:326)
   by 0x4009E4: gomp_barrier_init (tc17_sembar.c:46)
   by 0x400CBC: main (tc17_sembar.c:192)
]]></programlisting>

<para>Thrcheck first announces the creation points of any threads
referenced in the error message.  This is so it can speak concisely
about threads and sets of threads without repeatedly printing their
creation point call stacks.  Each thread is only ever announced once,
the first time it appears in any Thrcheck error message.</para>

<para>The main error message begins at the text
"<computeroutput>Possible data race during read</computeroutput>".
At the start is information you would expect to see -- address and
size of the racing access, whether a read or a write, and the call
stack at the point it was detected.</para>

<para>More interesting is the state transition caused by this access.
This memory is already in the shared-modified state, and up to now has
been consistently protected by at least one lock.  However, the thread
making the access in question (thread #2, here) does not hold any
locks in common with those held during all previous accesses to the
location -- "no consistent locks", in other words.</para>

<para>Finally, Thrcheck shows the lock which has protected this
location in all previous accesses.  (If there is more than one, only
one is shown).  This can be a useful hint, because it typically shows
the lock that the programmers intended to use to protect the location,
but in this case forgot.</para>

<para>Here are some more examples of race reports.  This not an
exhaustive list of combinations, but should give you some insight into
how to interpret the output.</para>

<programlisting><![CDATA[
Possible data race during write ...
  Old state: shared-readonly by threads #1, #2, #3
  New state: shared-modified by threads #1, #2, #3
  Reason:    this thread, #3, holds no consistent locks
  Location ... has never been protected by any lock
]]></programlisting>

<para>The location is shared by 3 threads, all of which have been
reading it without locking ("has never been protected by any lock").
Now one of them is writing it.  Regardless of whether the writer has a
lock or not, this is still an error, because the write races against
the previously observed reads.</para>

<programlisting><![CDATA[
Possible data race during read ...
  Old state: shared-modified by threads #1, #2, #3
  New state: shared-modified by threads #1, #2, #3
  Reason:    this thread, #3, holds no consistent locks
  Last consistently used lock for ... was first observed ...
]]></programlisting>

<para>The location is shared by 3 threads, all of which have been
reading and writing it while (as required) holding at least one lock
in common.  Now it is being read without that lock being held.  In the
"Last consistently used lock" part, Thrcheck offers its best guess as
to the identity of the lock that should have been used.</para>

<programlisting><![CDATA[
Possible data race during write ...
  Old state: owned exclusively by thread #4
  New state: shared-modified by threads #4, #5
  Reason:    this thread, #5, holds no locks at all
]]></programlisting>

<para>A location that has so far been accessed exclusively by thread
#4 has now been written by thread #5, without use of any lock.  This
can be a sign that the programmer did not consider the possibility of
the location being shared between threads, or, alternatively, forgot
to use the appropriate lock.</para>

<para>Note that thread #4 exclusively owns the location, and so has
the right to access it without holding a lock.  However, this message
does not say that thread #4 is not using a lock for this location.
Indeed, it could be using a lock for the location because it intends
to make it available to other threads, one of which is thread #5 --
and thread #5 has forgotten to use the lock.</para>

<para>Also, this message implies that Thrcheck did not see any
synchronisation event between threads #4 and #5 that would have
allowed #5 to acquire exclusive ownership from #4.  See
<link linkend="tc-manual.data-races.exclusive">above</link>
for a discussion of transfers of exclusive ownership states between
threads.</para>

</sect2>


</sect1>

<sect1 id="tc-manual.effective-use" xreflabel="Thrcheck Effective Use">
<title>Hints and Tips for Effective Use of Thrcheck</title>

<para>Thrcheck can be very helpful in finding and resolving
threading-related problems.  Like all sophisticated tools, it is most
effective when you understand how to play to its strengths.</para>

<para>Thrcheck will be less effective when you merely throw an
existing threaded program at it and try to make sense of any reported
errors.  It will be more effective if you design threaded programs
from the start in a way that helps Thrcheck verify correctness.  The
same is true for finding memory errors with Memcheck, but applies more
here, because thread checking is a harder problem.  Consequently it is
much easier to write a correct program for which Thrcheck falsely
reports (threading) errors than it is to write a correct program for
which Memcheck falsely reports (memory) errors.</para>

<para>With that in mind, here are some tips, listed most important first,
for getting reliable results and avoiding false errors.  The first two
are critical.  Any violations of them will swamp you with huge numbers
of false data-race errors.</para>


<orderedlist>

  <listitem>
    <para>Make sure your application, and all the libraries it uses,
    use the POSIX threading primitives.  Thrcheck needs to be able to
    see all events pertaining to thread creation, exit, locking and
    other syncronisation events.  To do so it intercepts many POSIX
    pthread_ functions.</para>

    <para>Do not roll your own threading primitives (mutexes, etc)
    from combinations of the Linux futex syscall, counters and wotnot.
    These throw Thrcheck's internal what's-going-on models way off
    course and will give bogus results.</para>

    <para>Also, do not reimplement existing POSIX abstractions using
    other POSIX abstractions.  For example, don't build your own
    semaphore routines or reader-writer locks from POSIX mutexes and
    condition variables.  Instead use POSIX reader-writer locks and
    semaphores directly, since Thrcheck supports them directly.</para>

    <para>Thrcheck directly supports the following POSIX threading
    abstractions: mutexes, reader-writer locks, condition variables
    (but see below), and semaphores.  Currently spinlocks and barriers
    are not supported, although they could be in future.  A prototype
    "safe" implementation of barriers, based on semaphores, is
    available: please contact the Valgrind authors for details.</para>

    <para>At the time of writing, the following popular Linux packages
    are known to implement their own threading primitives:</para>

    <itemizedlist>
      <listitem><para>Qt version 4.X.  Qt 3.X is fine, but not 4.X.
      Thrcheck contains partial direct support for Qt 4.X threading,
      but this is not yet in a usable state.  Assistance from folks
      knowledgeable in Qt 4 threading internals would be
      appreciated.</para></listitem>

      <listitem><para>Runtime support library for GNU OpenMP (part of
      GCC), at least GCC versions 4.2 and 4.3.  With some minor effort
      of modifying the GNU OpenMP runtime support sources, it is
      possible to use Thrcheck on GNU OpenMP compiled codes.  Please
      contact the Valgrind authors for details.</para></listitem>
    </itemizedlist>
  </listitem>

  <listitem>
    <para>Avoid memory recycling.  If you can't avoid it, you must use
    tell Thrcheck what is going on via the VALGRIND_HG_CLEAN_MEMORY
    client request
    (in <computeroutput>thrcheck.h</computeroutput>).</para>

    <para>Thrcheck is aware of standard memory allocation and
    deallocation that occurs via malloc/free/new/delete and from entry
    and exit of stack frames.  In particular, when memory is
    deallocated via free, delete, or function exit, Thrcheck considers
    that memory clean, so when it is eventually reallocated, its
    history is irrelevant.</para>

    <para>However, it is common practice to implement memory recycling
    schemes.  In these, memory to be freed is not handed to
    malloc/delete, but instead put into a pool of free buffers to be
    handed out again as required.  The problem is that Thrcheck has no
    way to know that such memory is logically no longer in use, and
    its history is irrelevant.  Hence you must make that explicit,
    using the VALGRIND_HG_CLEAN_MEMORY client request to specify the
    relevant address ranges.  It's easiest to put these requests into
    the pool manager code, and use them either when memory is returned
    to the pool, or is allocated from it.</para>
  </listitem>

  <listitem>
    <para>Avoid POSIX condition variables.  If you can, use POSIX
    semaphores (sem_t, sem_post, sem_wait) to do inter-thread event
    signalling.  Semaphores with an initial value of zero are
    particularly useful for this.</para>

    <para>Thrcheck only partially correctly handles POSIX condition
    variables.  This is because Thrcheck can see inter-thread
    dependencies between a pthread_cond_wait call and a
    pthread_cond_signal/broadcast call only if the waiting thread
    actually gets to the rendezvous first (so that it actually calls
    pthread_cond_wait).  It can't see dependencies between the threads
    if the signaller arrives first.  In the latter case, POSIX
    guidelines imply that the associated boolean condition still
    provides an inter-thread synchronisation event, but one which is
    invisible to Thrcheck.</para>

    <para>The result of Thrcheck missing some inter-thread
    synchronisation events is to cause it to report false positives.
    That's because missing such events reduces the extent to which it
    can transfer exclusive memory ownership between threads.  So
    memory may end up in a shared-modified state when that was not
    intended by the application programmers.</para>

    <para>The root cause of this synchronisation lossage is
    particularly hard to understand, so an example is helpful.  It was
    discussed at length by Arndt Muehlenfeld ("Runtime Race Detection
    in Multi-Threaded Programs", Dissertation, TU Graz, Austria).  The
    canonical POSIX-recommended usage scheme for condition variables
    is as follows:</para>

<programlisting><![CDATA[
b   is a Boolean condition, which is False most of the time
cv  is a condition variable
mx  is its associated mutex

Signaller:                             Waiter:

lock(mx)                               lock(mx)
b = True                               while (b == False)
signal(cv)                                wait(cv,mx)
unlock(mx)                             unlock(mx)
]]></programlisting>

    <para>Assume <computeroutput>b</computeroutput> is False most of
    the time.  If the waiter arrives at the rendezvous first, it
    enters its while-loop, waits for the signaller to signal, and
    eventually proceeds.  Thrcheck sees the signal, notes the
    dependency, and all is well.</para>

    <para>If the signaller arrives
    first, <computeroutput>b</computeroutput> is set to true, and the
    signal disappears into nowhere.  When the waiter later arrives, it
    does not enter its while-loop and simply carries on.  But even in
    this case, the waiter code following the while-loop cannot execute
    until the signaller sets <computeroutput>b</computeroutput> to
    True.  Hence there is still the same inter-thread dependency, but
    this time it is through an arbitrary in-memory condition, and
    Thrcheck cannot see it.</para>

    <para>By comparison, Thrcheck's detection of inter-thread
    dependencies caused by semaphore operations is believed to be
    exactly correct.</para>

    <para>As far as I know, a solution to this problem that does not
    require source-level annotation of condition-variable wait loops
    is beyond the current state of the art.</para>
  </listitem>

  <listitem>
    <para>Make sure you are using a supported Linux distribution.  At
    present, Thrcheck only properly supports x86-linux and amd64-linux
    with glibc-2.3 or later.  The latter restriction means we only
    support glibc's NPTL threading implementation.  The old
    LinuxThreads implementation is not supported.</para>

    <para>Unsupported targets may work to varying degrees.  In
    particular ppc32-linux and ppc64-linux running NTPL should work,
    but you will get false race errors because Thrcheck does not know
    how to properly handle atomic instruction sequences created using
    the lwarx/stwcx instructions.</para>
  </listitem>

  <listitem>
    <para>Round up all finished threads using pthread_join.  Avoid
    detaching threads: don't create threads in the detached state, and
    don't call pthread_detach on existing threads.</para>

    <para>Using pthread_join to round up finished threads provides a
    clear synchronisation point that both Thrcheck and programmers can
    see.  This synchronisation point allows Thrcheck to adjust its
    memory ownership
    models <link linkend="tc-manual.data-races.exclusive">as described
    extensively above</link>, which helps Thrcheck produce more
    accurate error reports.</para>

    <para>If you don't call pthread_join on a thread, Thrcheck has no
    way to know when it finishes, relative to any significant
    synchronisation points for other threads in the program.  So it
    assumes that the thread lingers indefinitely and can potentially
    interfere indefinitely with the memory state of the program.  It
    has every right to assume that -- after all, it might really be
    the case that, for scheduling reasons, the exiting thread did run
    very slowly in the last stages of its life.</para>
  </listitem>

  <listitem>
    <para>Perform thread debugging (with Thrcheck) and memory
    debugging (with Memcheck) together.</para>

    <para>Thrcheck tracks the state of memory in detail, and memory
    management bugs in the application are liable to cause confusion.
    In extreme cases, applications which do many invalid reads and
    writes (particularly to freed memory) have been known to crash
    Thrcheck.  So, ideally, you should make your application
    Memcheck-clean before using Thrcheck.</para>

    <para>It may be impossible to make your application Memcheck-clean
    unless you first remove threading bugs.  In particular, it may be
    difficult to remove all reads and writes to freed memory in
    multithreaded C++ destructor sequences at program termination.
    So, ideally, you should make your application Thrcheck-clean
    before using Memcheck.</para>

    <para>Since this circularity is obviously unresolvable, at least
    bear in mind that Memcheck and Thrcheck are to some extent
    complementary, and you may need to use them together.</para>
  </listitem>

  <listitem>
    <para>POSIX requires that implementations of standard I/O (printf,
    fprintf, fwrite, fread, etc) are thread safe.  Unfortunately GNU
    libc implements this by using internal locking primitives that
    Thrcheck is unable to intercept.  Consequently Thrcheck generates
    many false race reports when you use these functions.</para>

    <para>Thrcheck attempts to hide these errors using the standard
    Valgrind error-suppression mechanism.  So, at least for simple
    test cases, you don't see any.  Nevertheless, some may slip
    through.  Just something to be aware of.</para>
  </listitem>

  <listitem>
    <para>Thrcheck's error checks do not work properly inside the
    system threading library itself
    (<computeroutput>libpthread.so</computeroutput>), and it usually
    observes large numbers of (false) errors in there.  Valgrind's
    suppression system then filters these out, so you should not see
    them.</para>

    <para>If you see any race errors reported
    where <computeroutput>libpthread.so</computeroutput> or
    <computeroutput>ld.so</computeroutput> is the object associated
    with the innermost stack frame, please file a bug report at
    http://www.valgrind.org.</para>
  </listitem>

</orderedlist>

</sect1>


<sect1 id="tc-manual.options" xreflabel="Thrcheck Options">
<title>Thrcheck Options</title>

<para>The following end-user options are available:</para>

<!-- start of xi:include in the manpage -->
<variablelist id="tc.opts.list">

  <varlistentry id="opt.happens-before" xreflabel="--happens-before">
    <term>
      <option><![CDATA[--happens-before=none|threads|all
      [default: all] ]]></option>
    </term>
    <listitem>
      <para>Thrcheck always regards locks as the basis for
       inter-thread synchronisation.  However, by default, before
       reporting a race error, Thrcheck will also check whether
       certain other kinds of inter-thread synchronisation events
       happened.  It may be that if such events took place, then no
       race really occurred, and so no error needs to be reported.
       See <link linkend="tc-manual.data-races.exclusive">above</link>
       for a discussion of transfers of exclusive ownership states
       between threads.
      </para>
      <para>With <varname>--happens-before=all</varname>, the
       following events are regarded as sources of synchronisation:
       thread creation/joinage, condition variable
       signal/broadcast/waits, and semaphore posts/waits.
      </para>
      <para>With <varname>--happens-before=threads</varname>, only
       thread creation/joinage events are regarded as sources of
       synchronisation.
      </para>
      <para>With <varname>--happens-before=none</varname>, no events
       (apart, of course, from locking) are regarded as sources of
       synchronisation.
      </para>
      <para>Changing this setting from the default will increase your
       false-error rate but give little or no gain.  The only advantage
       is that <option>--happens-before=threads</option> and 
       <option>--happens-before=none</option> should make Thrcheck
       less and less sensitive to the scheduling of threads, and hence
       the output more and more repeatable across runs.
      </para>
    </listitem>
  </varlistentry>

  <varlistentry id="opt.trace-addr" xreflabel="--trace-addr">
    <term>
      <option><![CDATA[--trace-addr=0xXXYYZZ
      ]]></option> and
      <option><![CDATA[--trace-level=0|1|2 [default: 1]
      ]]></option>
    </term>
    <listitem>
      <para>Requests that Thrcheck produces a log of all state changes
      to location 0xXXYYZZ.  This can be helpful in tracking down
      tricky races.  <varname>--trace-level</varname> controls the
      verbosity of the log.  At the default setting (1), a one-line
      summary of is printed for each state change.  At level 2 a
      complete stack trace is printed for each state change.</para>
    </listitem>
  </varlistentry>

</variablelist>
<!-- end of xi:include in the manpage -->

<!-- start of xi:include in the manpage -->
<para>In addition, the following debugging options are available for
Thrcheck:</para>

<variablelist id="tc.debugopts.list">

  <varlistentry id="opt.trace-malloc" xreflabel="--trace-malloc">
    <term>
      <option><![CDATA[--trace-malloc=no|yes [no]
      ]]></option>
    </term>
    <listitem>
      <para>Show all client malloc (etc) and free (etc) requests.</para>
    </listitem>
  </varlistentry>

  <varlistentry id="opt.gen-vcg" xreflabel="--gen-vcg">
    <term>
      <option><![CDATA[--gen-vcg=no|yes|yes-w-vts [no]
      ]]></option>
    </term>
    <listitem>
      <para>At exit, write to stderr a dump of the happens-before
	graph computed by Thrcheck, in a format suitable for the VCG 
        graph visualisation tool.  A suitable command line is:</para>
      <para><computeroutput>valgrind --tool=thrcheck 
        --gen-vcg=yes my_app 2&gt;&amp;1
        | grep xxxxxx | sed "s/xxxxxx//g"
        | xvcg -</computeroutput></para>
      <para>With <varname>--gen-vcg=yes</varname>, the basic
        happens-before graph is shown.  With 
        <varname>--gen-vcg=yes-w-vts</varname>, the vector timestamp 
        for each node is also shown.</para>
    </listitem>
  </varlistentry>

  <varlistentry id="opt.cmp-race-err-addrs" 
                xreflabel="--cmp-race-err-addrs">
    <term>
      <option><![CDATA[--cmp-race-err-addrs=no|yes [no]
      ]]></option>
    </term>
    <listitem>
      <para>Controls whether or not race (data) addresses should be
        taken into account when removing duplicates of race errors.
        With <varname>--cmp-race-err-addrs=no</varname>, two otherwise
        identical race errors will be considered to be the same if
        their race addresses differ.  With
        With <varname>--cmp-race-err-addrs=yes</varname> they will be
        considered different.  This is provided to help make certain
        regression tests work reliably.</para>
    </listitem>
  </varlistentry>

  <varlistentry id="opt.tc-sanity-flags" xreflabel="--tc-sanity-flags">
    <term>
      <option><![CDATA[--tc-sanity-flags=<XXXXX> (X = 0|1) [00000]
      ]]></option>
    </term>
    <listitem>
      <para>Run extensive sanity checks on Thrcheck's internal
        data structures at events defined by the bitstring, as
        follows:</para>
      <para><computeroutput>10000 </computeroutput>after changes to
        the lock order acquisition graph</para>
      <para><computeroutput>01000 </computeroutput>after every client
        memory access (NB: not currently used)</para>
      <para><computeroutput>00100 </computeroutput>after every client
        memory range permission setting of 256 bytes or greater</para>
      <para><computeroutput>00010 </computeroutput>after every client
        lock or unlock event</para>
      <para><computeroutput>00001 </computeroutput>after every client
        thread creation or joinage event</para>
      <para>Note these will make Thrcheck run very slowly, often to
        the point of being completely unusable.</para>
    </listitem>
  </varlistentry>

</variablelist>
<!-- end of xi:include in the manpage -->


</sect1>

<sect1 id="tc-manual.todolist" xreflabel="To Do List">
<title>A To-Do List for Thrcheck</title>

<para>The following is a list of loose ends which should be tidied up
some time.</para>

<itemizedlist>
  <listitem><para>Track which mutexes are associated with which
    condition variables, and emit a warning if this becomes
    inconsistent.</para>
  </listitem>
  <listitem><para>For lock order errors, print the complete lock
    cycle, rather than only doing for size-2 cycles as at
    present.</para>
  </listitem>
  <listitem><para>Document the VALGRIND_HG_CLEAN_MEMORY client
    request.</para>
  </listitem>
  <listitem><para>Possibly a client request to forcibly transfer
    ownership of memory from one thread to another.  Requires further
    consideration.</para>
  </listitem>
  <listitem><para>Add a new client request that marks an address range
    as being "shared-modified with empty lockset" (the error state),
    and describe how to use it.</para>
  </listitem>
  <listitem><para>Document races caused by gcc's thread-unsafe code
    generation for speculative stores.  In the interim see
    <computeroutput>http://gcc.gnu.org/ml/gcc/2007-10/msg00266.html
    </computeroutput>
    and <computeroutput>http://lkml.org/lkml/2007/10/24/673</computeroutput>.
    </para>
  </listitem>
  <listitem><para>Don't update the lock-order graph, and don't check
    for errors, when a "try"-style lock operation happens (eg
    pthread_mutex_trylock).  Such calls do not add any real
    restrictions to the locking order, since they can always fail to
    acquire the lock, resulting in the caller going off and doing Plan
    B (presumably it will have a Plan B).  Doing such checks could
    generate false lock-order errors and confuse users.</para>
  </listitem>
  <listitem><para> Performance can be very poor.  Slowdowns on the
    order of 100:1 are not unusual.  There is quite some scope for
    performance improvements, though.
    </para>
  </listitem>

</itemizedlist>

</sect1>

</chapter>