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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN" "http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml"><head><title>Diagnostics</title><meta name="generator" content="DocBook XSL-NS Stylesheets V1.76.1"/><meta name="keywords" content="&#10; C++&#10; , &#10; library&#10; , &#10; profile&#10; "/><meta name="keywords" content="&#10; ISO C++&#10; , &#10; library&#10; "/><link rel="home" href="../spine.html" title="The GNU C++ Library"/><link rel="up" href="profile_mode.html" title="Chapter 19. Profile Mode"/><link rel="prev" href="bk01pt03ch19s06.html" title="Developer Information"/><link rel="next" href="ext_allocators.html" title="Chapter 20. Allocators"/></head><body><div class="navheader"><table width="100%" summary="Navigation header"><tr><th colspan="3" align="center">Diagnostics</th></tr><tr><td align="left"><a accesskey="p" href="bk01pt03ch19s06.html">Prev</a> </td><th width="60%" align="center">Chapter 19. Profile Mode</th><td align="right"> <a accesskey="n" href="ext_allocators.html">Next</a></td></tr></table><hr/></div><div class="section" title="Diagnostics"><div class="titlepage"><div><div><h2 class="title"><a id="manual.ext.profile_mode.diagnostics"/>Diagnostics</h2></div></div></div><p>
+ The table below presents all the diagnostics we intend to implement.
+ Each diagnostic has a corresponding compile time switch
+ <code class="code">-D_GLIBCXX_PROFILE_&lt;diagnostic&gt;</code>.
+ Groups of related diagnostics can be turned on with a single switch.
+ For instance, <code class="code">-D_GLIBCXX_PROFILE_LOCALITY</code> is equivalent to
+ <code class="code">-D_GLIBCXX_PROFILE_SOFTWARE_PREFETCH
+ -D_GLIBCXX_PROFILE_RBTREE_LOCALITY</code>.
+ </p><p>
+ The benefit, cost, expected frequency and accuracy of each diagnostic
+ was given a grade from 1 to 10, where 10 is highest.
+ A high benefit means that, if the diagnostic is accurate, the expected
+ performance improvement is high.
+ A high cost means that turning this diagnostic on leads to high slowdown.
+ A high frequency means that we expect this to occur relatively often.
+ A high accuracy means that the diagnostic is unlikely to be wrong.
+ These grades are not perfect. They are just meant to guide users with
+ specific needs or time budgets.
+ </p><div class="table"><a id="id487386"/><p class="title"><strong>Table 19.2. Profile Diagnostics</strong></p><div class="table-contents"><table summary="Profile Diagnostics" border="1"><colgroup><col style="text-align: left" class="c1"/><col style="text-align: left" class="c2"/><col style="text-align: left" class="c3"/><col style="text-align: left" class="c4"/><col style="text-align: left" class="c5"/><col style="text-align: left" class="c6"/><col style="text-align: left" class="c7"/></colgroup><thead><tr><th style="text-align: left">Group</th><th style="text-align: left">Flag</th><th style="text-align: left">Benefit</th><th style="text-align: left">Cost</th><th style="text-align: left">Freq.</th><th style="text-align: left">Implemented</th><td class="auto-generated"> </td></tr></thead><tbody><tr><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.containers" title="Containers">
+ CONTAINERS</a></td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.hashtable_too_small" title="Hashtable Too Small">
+ HASHTABLE_TOO_SMALL</a></td><td style="text-align: left">10</td><td style="text-align: left">1</td><td style="text-align: left"> </td><td style="text-align: left">10</td><td style="text-align: left">yes</td></tr><tr><td style="text-align: left"> </td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.hashtable_too_large" title="Hashtable Too Large">
+ HASHTABLE_TOO_LARGE</a></td><td style="text-align: left">5</td><td style="text-align: left">1</td><td style="text-align: left"> </td><td style="text-align: left">10</td><td style="text-align: left">yes</td></tr><tr><td style="text-align: left"> </td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.inefficient_hash" title="Inefficient Hash">
+ INEFFICIENT_HASH</a></td><td style="text-align: left">7</td><td style="text-align: left">3</td><td style="text-align: left"> </td><td style="text-align: left">10</td><td style="text-align: left">yes</td></tr><tr><td style="text-align: left"> </td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.vector_too_small" title="Vector Too Small">
+ VECTOR_TOO_SMALL</a></td><td style="text-align: left">8</td><td style="text-align: left">1</td><td style="text-align: left"> </td><td style="text-align: left">10</td><td style="text-align: left">yes</td></tr><tr><td style="text-align: left"> </td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.vector_too_large" title="Vector Too Large">
+ VECTOR_TOO_LARGE</a></td><td style="text-align: left">5</td><td style="text-align: left">1</td><td style="text-align: left"> </td><td style="text-align: left">10</td><td style="text-align: left">yes</td></tr><tr><td style="text-align: left"> </td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.vector_to_hashtable" title="Vector to Hashtable">
+ VECTOR_TO_HASHTABLE</a></td><td style="text-align: left">7</td><td style="text-align: left">7</td><td style="text-align: left"> </td><td style="text-align: left">10</td><td style="text-align: left">no</td></tr><tr><td style="text-align: left"> </td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.hashtable_to_vector" title="Hashtable to Vector">
+ HASHTABLE_TO_VECTOR</a></td><td style="text-align: left">7</td><td style="text-align: left">7</td><td style="text-align: left"> </td><td style="text-align: left">10</td><td style="text-align: left">no</td></tr><tr><td style="text-align: left"> </td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.vector_to_list" title="Vector to List">
+ VECTOR_TO_LIST</a></td><td style="text-align: left">8</td><td style="text-align: left">5</td><td style="text-align: left"> </td><td style="text-align: left">10</td><td style="text-align: left">yes</td></tr><tr><td style="text-align: left"> </td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.list_to_vector" title="List to Vector">
+ LIST_TO_VECTOR</a></td><td style="text-align: left">10</td><td style="text-align: left">5</td><td style="text-align: left"> </td><td style="text-align: left">10</td><td style="text-align: left">no</td></tr><tr><td style="text-align: left"> </td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.assoc_ord_to_unord" title="Ordered to Unordered Associative Container">
+ ORDERED_TO_UNORDERED</a></td><td style="text-align: left">10</td><td style="text-align: left">5</td><td style="text-align: left"> </td><td style="text-align: left">10</td><td style="text-align: left">only map/unordered_map</td></tr><tr><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.algorithms" title="Algorithms">
+ ALGORITHMS</a></td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.algorithms.sort" title="Sort Algorithm Performance">
+ SORT</a></td><td style="text-align: left">7</td><td style="text-align: left">8</td><td style="text-align: left"> </td><td style="text-align: left">7</td><td style="text-align: left">no</td></tr><tr><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.locality" title="Data Locality">
+ LOCALITY</a></td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.locality.sw_prefetch" title="Need Software Prefetch">
+ SOFTWARE_PREFETCH</a></td><td style="text-align: left">8</td><td style="text-align: left">8</td><td style="text-align: left"> </td><td style="text-align: left">5</td><td style="text-align: left">no</td></tr><tr><td style="text-align: left"> </td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.locality.linked" title="Linked Structure Locality">
+ RBTREE_LOCALITY</a></td><td style="text-align: left">4</td><td style="text-align: left">8</td><td style="text-align: left"> </td><td style="text-align: left">5</td><td style="text-align: left">no</td></tr><tr><td style="text-align: left"> </td><td style="text-align: left"><a class="link" href="bk01pt03ch19s07.html#manual.ext.profile_mode.analysis.mthread.false_share" title="False Sharing">
+ FALSE_SHARING</a></td><td style="text-align: left">8</td><td style="text-align: left">10</td><td style="text-align: left"> </td><td style="text-align: left">10</td><td style="text-align: left">no</td></tr></tbody></table></div></div><br class="table-break"/><div class="section" title="Diagnostic Template"><div class="titlepage"><div><div><h3 class="title"><a id="manual.ext.profile_mode.analysis.template"/>Diagnostic Template</h3></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_&lt;diagnostic&gt;</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> What problem will it diagnose?
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>.
+ What is the fundamental reason why this is a problem</p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>
+ Percentage reduction in execution time. When reduction is more than
+ a constant factor, describe the reduction rate formula.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span>
+ What would the advise look like?</p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span>
+ What stdlibc++ components need to be instrumented?</p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ How do we decide when to issue the advice?</p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ How do we measure benefits? Math goes here.</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+program code
+...
+advice sample
+</pre><p>
+</p></li></ul></div></div><div class="section" title="Containers"><div class="titlepage"><div><div><h3 class="title"><a id="manual.ext.profile_mode.analysis.containers"/>Containers</h3></div></div></div><p>
+<span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_CONTAINERS</code>.
+</p><div class="section" title="Hashtable Too Small"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.hashtable_too_small"/>Hashtable Too Small</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_HASHTABLE_TOO_SMALL</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Detect hashtables with many
+ rehash operations, small construction size and large destruction size.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span> Rehash is very expensive.
+ Read content, follow chains within bucket, evaluate hash function, place at
+ new location in different order.</p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span> 36%.
+ Code similar to example below.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span>
+ Set initial size to N at construction site S.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span>
+ <code class="code">unordered_set, unordered_map</code> constructor, destructor, rehash.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ For each dynamic instance of <code class="code">unordered_[multi]set|map</code>,
+ record initial size and call context of the constructor.
+ Record size increase, if any, after each relevant operation such as insert.
+ Record the estimated rehash cost.</p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Number of individual rehash operations * cost per rehash.</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+1 unordered_set&lt;int&gt; us;
+2 for (int k = 0; k &lt; 1000000; ++k) {
+3 us.insert(k);
+4 }
+
+foo.cc:1: advice: Changing initial unordered_set size from 10 to 1000000 saves 1025530 rehash operations.
+</pre><p>
+</p></li></ul></div></div><div class="section" title="Hashtable Too Large"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.hashtable_too_large"/>Hashtable Too Large</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_HASHTABLE_TOO_LARGE</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Detect hashtables which are
+ never filled up because fewer elements than reserved are ever
+ inserted.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span> Save memory, which
+ is good in itself and may also improve memory reference performance through
+ fewer cache and TLB misses.</p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span> unknown.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span>
+ Set initial size to N at construction site S.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span>
+ <code class="code">unordered_set, unordered_map</code> constructor, destructor, rehash.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ For each dynamic instance of <code class="code">unordered_[multi]set|map</code>,
+ record initial size and call context of the constructor, and correlate it
+ with its size at destruction time.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Number of iteration operations + memory saved.</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+1 vector&lt;unordered_set&lt;int&gt;&gt; v(100000, unordered_set&lt;int&gt;(100)) ;
+2 for (int k = 0; k &lt; 100000; ++k) {
+3 for (int j = 0; j &lt; 10; ++j) {
+4 v[k].insert(k + j);
+5 }
+6 }
+
+foo.cc:1: advice: Changing initial unordered_set size from 100 to 10 saves N
+bytes of memory and M iteration steps.
+</pre><p>
+</p></li></ul></div></div><div class="section" title="Inefficient Hash"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.inefficient_hash"/>Inefficient Hash</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_INEFFICIENT_HASH</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Detect hashtables with polarized
+ distribution.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span> A non-uniform
+ distribution may lead to long chains, thus possibly increasing complexity
+ by a factor up to the number of elements.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span> factor up
+ to container size.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span> Change hash function
+ for container built at site S. Distribution score = N. Access score = S.
+ Longest chain = C, in bucket B.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span>
+ <code class="code">unordered_set, unordered_map</code> constructor, destructor, [],
+ insert, iterator.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ Count the exact number of link traversals.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Total number of links traversed.</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+class dumb_hash {
+ public:
+ size_t operator() (int i) const { return 0; }
+};
+...
+ unordered_set&lt;int, dumb_hash&gt; hs;
+ ...
+ for (int i = 0; i &lt; COUNT; ++i) {
+ hs.find(i);
+ }
+</pre><p>
+</p></li></ul></div></div><div class="section" title="Vector Too Small"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.vector_too_small"/>Vector Too Small</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_VECTOR_TOO_SMALL</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span>Detect vectors with many
+ resize operations, small construction size and large destruction size..
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>Resizing can be expensive.
+ Copying large amounts of data takes time. Resizing many small vectors may
+ have allocation overhead and affect locality.</p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>%.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span>
+ Set initial size to N at construction site S.</p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span><code class="code">vector</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ For each dynamic instance of <code class="code">vector</code>,
+ record initial size and call context of the constructor.
+ Record size increase, if any, after each relevant operation such as
+ <code class="code">push_back</code>. Record the estimated resize cost.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Total number of words copied * time to copy a word.</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+1 vector&lt;int&gt; v;
+2 for (int k = 0; k &lt; 1000000; ++k) {
+3 v.push_back(k);
+4 }
+
+foo.cc:1: advice: Changing initial vector size from 10 to 1000000 saves
+copying 4000000 bytes and 20 memory allocations and deallocations.
+</pre><p>
+</p></li></ul></div></div><div class="section" title="Vector Too Large"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.vector_too_large"/>Vector Too Large</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_VECTOR_TOO_LARGE</code>
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span>Detect vectors which are
+ never filled up because fewer elements than reserved are ever
+ inserted.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>Save memory, which
+ is good in itself and may also improve memory reference performance through
+ fewer cache and TLB misses.</p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>%.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span>
+ Set initial size to N at construction site S.</p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span><code class="code">vector</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ For each dynamic instance of <code class="code">vector</code>,
+ record initial size and call context of the constructor, and correlate it
+ with its size at destruction time.</p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Total amount of memory saved.</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+1 vector&lt;vector&lt;int&gt;&gt; v(100000, vector&lt;int&gt;(100)) ;
+2 for (int k = 0; k &lt; 100000; ++k) {
+3 for (int j = 0; j &lt; 10; ++j) {
+4 v[k].insert(k + j);
+5 }
+6 }
+
+foo.cc:1: advice: Changing initial vector size from 100 to 10 saves N
+bytes of memory and may reduce the number of cache and TLB misses.
+</pre><p>
+</p></li></ul></div></div><div class="section" title="Vector to Hashtable"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.vector_to_hashtable"/>Vector to Hashtable</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_VECTOR_TO_HASHTABLE</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Detect uses of
+ <code class="code">vector</code> that can be substituted with <code class="code">unordered_set</code>
+ to reduce execution time.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>
+ Linear search in a vector is very expensive, whereas searching in a hashtable
+ is very quick.</p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>factor up
+ to container size.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span>Replace
+ <code class="code">vector</code> with <code class="code">unordered_set</code> at site S.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span><code class="code">vector</code>
+ operations and access methods.</p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ For each dynamic instance of <code class="code">vector</code>,
+ record call context of the constructor. Issue the advice only if the
+ only methods called on this <code class="code">vector</code> are <code class="code">push_back</code>,
+ <code class="code">insert</code> and <code class="code">find</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Cost(vector::push_back) + cost(vector::insert) + cost(find, vector) -
+ cost(unordered_set::insert) + cost(unordered_set::find).
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+1 vector&lt;int&gt; v;
+...
+2 for (int i = 0; i &lt; 1000; ++i) {
+3 find(v.begin(), v.end(), i);
+4 }
+
+foo.cc:1: advice: Changing "vector" to "unordered_set" will save about 500,000
+comparisons.
+</pre><p>
+</p></li></ul></div></div><div class="section" title="Hashtable to Vector"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.hashtable_to_vector"/>Hashtable to Vector</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_HASHTABLE_TO_VECTOR</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Detect uses of
+ <code class="code">unordered_set</code> that can be substituted with <code class="code">vector</code>
+ to reduce execution time.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>
+ Hashtable iterator is slower than vector iterator.</p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>95%.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span>Replace
+ <code class="code">unordered_set</code> with <code class="code">vector</code> at site S.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span><code class="code">unordered_set</code>
+ operations and access methods.</p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ For each dynamic instance of <code class="code">unordered_set</code>,
+ record call context of the constructor. Issue the advice only if the
+ number of <code class="code">find</code>, <code class="code">insert</code> and <code class="code">[]</code>
+ operations on this <code class="code">unordered_set</code> are small relative to the
+ number of elements, and methods <code class="code">begin</code> or <code class="code">end</code>
+ are invoked (suggesting iteration).</p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Number of .</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+1 unordered_set&lt;int&gt; us;
+...
+2 int s = 0;
+3 for (unordered_set&lt;int&gt;::iterator it = us.begin(); it != us.end(); ++it) {
+4 s += *it;
+5 }
+
+foo.cc:1: advice: Changing "unordered_set" to "vector" will save about N
+indirections and may achieve better data locality.
+</pre><p>
+</p></li></ul></div></div><div class="section" title="Vector to List"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.vector_to_list"/>Vector to List</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_VECTOR_TO_LIST</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Detect cases where
+ <code class="code">vector</code> could be substituted with <code class="code">list</code> for
+ better performance.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>
+ Inserting in the middle of a vector is expensive compared to inserting in a
+ list.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>factor up to
+ container size.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span>Replace vector with list
+ at site S.</p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span><code class="code">vector</code>
+ operations and access methods.</p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ For each dynamic instance of <code class="code">vector</code>,
+ record the call context of the constructor. Record the overhead of each
+ <code class="code">insert</code> operation based on current size and insert position.
+ Report instance with high insertion overhead.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ (Sum(cost(vector::method)) - Sum(cost(list::method)), for
+ method in [push_back, insert, erase])
+ + (Cost(iterate vector) - Cost(iterate list))</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+1 vector&lt;int&gt; v;
+2 for (int i = 0; i &lt; 10000; ++i) {
+3 v.insert(v.begin(), i);
+4 }
+
+foo.cc:1: advice: Changing "vector" to "list" will save about 5,000,000
+operations.
+</pre><p>
+</p></li></ul></div></div><div class="section" title="List to Vector"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.list_to_vector"/>List to Vector</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_LIST_TO_VECTOR</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Detect cases where
+ <code class="code">list</code> could be substituted with <code class="code">vector</code> for
+ better performance.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>
+ Iterating through a vector is faster than through a list.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>64%.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span>Replace list with vector
+ at site S.</p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span><code class="code">vector</code>
+ operations and access methods.</p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ Issue the advice if there are no <code class="code">insert</code> operations.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ (Sum(cost(vector::method)) - Sum(cost(list::method)), for
+ method in [push_back, insert, erase])
+ + (Cost(iterate vector) - Cost(iterate list))</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+1 list&lt;int&gt; l;
+...
+2 int sum = 0;
+3 for (list&lt;int&gt;::iterator it = l.begin(); it != l.end(); ++it) {
+4 sum += *it;
+5 }
+
+foo.cc:1: advice: Changing "list" to "vector" will save about 1000000 indirect
+memory references.
+</pre><p>
+</p></li></ul></div></div><div class="section" title="List to Forward List (Slist)"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.list_to_slist"/>List to Forward List (Slist)</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_LIST_TO_SLIST</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Detect cases where
+ <code class="code">list</code> could be substituted with <code class="code">forward_list</code> for
+ better performance.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>
+ The memory footprint of a forward_list is smaller than that of a list.
+ This has beneficial effects on memory subsystem, e.g., fewer cache misses.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>40%.
+ Note that the reduction is only noticeable if the size of the forward_list
+ node is in fact larger than that of the list node. For memory allocators
+ with size classes, you will only notice an effect when the two node sizes
+ belong to different allocator size classes.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span>Replace list with
+ forward_list at site S.</p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span><code class="code">list</code>
+ operations and iteration methods.</p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ Issue the advice if there are no <code class="code">backwards</code> traversals
+ or insertion before a given node.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Always true.</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+1 list&lt;int&gt; l;
+...
+2 int sum = 0;
+3 for (list&lt;int&gt;::iterator it = l.begin(); it != l.end(); ++it) {
+4 sum += *it;
+5 }
+
+foo.cc:1: advice: Change "list" to "forward_list".
+</pre><p>
+</p></li></ul></div></div><div class="section" title="Ordered to Unordered Associative Container"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.assoc_ord_to_unord"/>Ordered to Unordered Associative Container</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_ORDERED_TO_UNORDERED</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Detect cases where ordered
+ associative containers can be replaced with unordered ones.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>
+ Insert and search are quicker in a hashtable than in
+ a red-black tree.</p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>52%.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span>
+ Replace set with unordered_set at site S.</p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span>
+ <code class="code">set</code>, <code class="code">multiset</code>, <code class="code">map</code>,
+ <code class="code">multimap</code> methods.</p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ Issue the advice only if we are not using operator <code class="code">++</code> on any
+ iterator on a particular <code class="code">[multi]set|map</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ (Sum(cost(hashtable::method)) - Sum(cost(rbtree::method)), for
+ method in [insert, erase, find])
+ + (Cost(iterate hashtable) - Cost(iterate rbtree))</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+1 set&lt;int&gt; s;
+2 for (int i = 0; i &lt; 100000; ++i) {
+3 s.insert(i);
+4 }
+5 int sum = 0;
+6 for (int i = 0; i &lt; 100000; ++i) {
+7 sum += *s.find(i);
+8 }
+</pre><p>
+</p></li></ul></div></div></div><div class="section" title="Algorithms"><div class="titlepage"><div><div><h3 class="title"><a id="manual.ext.profile_mode.analysis.algorithms"/>Algorithms</h3></div></div></div><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_ALGORITHMS</code>.
+ </p><div class="section" title="Sort Algorithm Performance"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.algorithms.sort"/>Sort Algorithm Performance</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_SORT</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Give measure of sort algorithm
+ performance based on actual input. For instance, advise Radix Sort over
+ Quick Sort for a particular call context.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>
+ See papers:
+ <a class="link" href="http://portal.acm.org/citation.cfm?doid=1065944.1065981">
+ A framework for adaptive algorithm selection in STAPL</a> and
+ <a class="link" href="http://ieeexplore.ieee.org/search/wrapper.jsp?arnumber=4228227">
+ Optimizing Sorting with Machine Learning Algorithms</a>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>60%.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span> Change sort algorithm
+ at site S from X Sort to Y Sort.</p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span> <code class="code">sort</code>
+ algorithm.</p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ Issue the advice if the cost model tells us that another sort algorithm
+ would do better on this input. Requires us to know what algorithm we
+ are using in our sort implementation in release mode.</p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Runtime(algo) for algo in [radix, quick, merge, ...]</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+</pre><p>
+</p></li></ul></div></div></div><div class="section" title="Data Locality"><div class="titlepage"><div><div><h3 class="title"><a id="manual.ext.profile_mode.analysis.locality"/>Data Locality</h3></div></div></div><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_LOCALITY</code>.
+ </p><div class="section" title="Need Software Prefetch"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.locality.sw_prefetch"/>Need Software Prefetch</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_SOFTWARE_PREFETCH</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Discover sequences of indirect
+ memory accesses that are not regular, thus cannot be predicted by
+ hardware prefetchers.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>
+ Indirect references are hard to predict and are very expensive when they
+ miss in caches.</p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>25%.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span> Insert prefetch
+ instruction.</p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span> Vector iterator and
+ access operator [].
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ First, get cache line size and page size from system.
+ Then record iterator dereference sequences for which the value is a pointer.
+ For each sequence within a container, issue a warning if successive pointer
+ addresses are not within cache lines and do not form a linear pattern
+ (otherwise they may be prefetched by hardware).
+ If they also step across page boundaries, make the warning stronger.
+ </p><p>The same analysis applies to containers other than vector.
+ However, we cannot give the same advice for linked structures, such as list,
+ as there is no random access to the n-th element. The user may still be
+ able to benefit from this information, for instance by employing frays (user
+ level light weight threads) to hide the latency of chasing pointers.
+ </p><p>
+ This analysis is a little oversimplified. A better cost model could be
+ created by understanding the capability of the hardware prefetcher.
+ This model could be trained automatically by running a set of synthetic
+ cases.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Total distance between pointer values of successive elements in vectors
+ of pointers.</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+1 int zero = 0;
+2 vector&lt;int*&gt; v(10000000, &amp;zero);
+3 for (int k = 0; k &lt; 10000000; ++k) {
+4 v[random() % 10000000] = new int(k);
+5 }
+6 for (int j = 0; j &lt; 10000000; ++j) {
+7 count += (*v[j] == 0 ? 0 : 1);
+8 }
+
+foo.cc:7: advice: Insert prefetch instruction.
+</pre><p>
+</p></li></ul></div></div><div class="section" title="Linked Structure Locality"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.locality.linked"/>Linked Structure Locality</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_RBTREE_LOCALITY</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Give measure of locality of
+ objects stored in linked structures (lists, red-black trees and hashtables)
+ with respect to their actual traversal patterns.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>Allocation can be tuned
+ to a specific traversal pattern, to result in better data locality.
+ See paper:
+ <a class="link" href="http://www.springerlink.com/content/8085744l00x72662/">
+ Custom Memory Allocation for Free</a>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>30%.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span>
+ High scatter score N for container built at site S.
+ Consider changing allocation sequence or choosing a structure conscious
+ allocator.</p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span> Methods of all
+ containers using linked structures.</p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ First, get cache line size and page size from system.
+ Then record the number of successive elements that are on different line
+ or page, for each traversal method such as <code class="code">find</code>. Give advice
+ only if the ratio between this number and the number of total node hops
+ is above a threshold.</p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Sum(same_cache_line(this,previous))</p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+ 1 set&lt;int&gt; s;
+ 2 for (int i = 0; i &lt; 10000000; ++i) {
+ 3 s.insert(i);
+ 4 }
+ 5 set&lt;int&gt; s1, s2;
+ 6 for (int i = 0; i &lt; 10000000; ++i) {
+ 7 s1.insert(i);
+ 8 s2.insert(i);
+ 9 }
+...
+ // Fast, better locality.
+10 for (set&lt;int&gt;::iterator it = s.begin(); it != s.end(); ++it) {
+11 sum += *it;
+12 }
+ // Slow, elements are further apart.
+13 for (set&lt;int&gt;::iterator it = s1.begin(); it != s1.end(); ++it) {
+14 sum += *it;
+15 }
+
+foo.cc:5: advice: High scatter score NNN for set built here. Consider changing
+the allocation sequence or switching to a structure conscious allocator.
+</pre><p>
+</p></li></ul></div></div></div><div class="section" title="Multithreaded Data Access"><div class="titlepage"><div><div><h3 class="title"><a id="manual.ext.profile_mode.analysis.mthread"/>Multithreaded Data Access</h3></div></div></div><p>
+ The diagnostics in this group are not meant to be implemented short term.
+ They require compiler support to know when container elements are written
+ to. Instrumentation can only tell us when elements are referenced.
+ </p><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_MULTITHREADED</code>.
+ </p><div class="section" title="Data Dependence Violations at Container Level"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.mthread.ddtest"/>Data Dependence Violations at Container Level</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_DDTEST</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Detect container elements
+ that are referenced from multiple threads in the parallel region or
+ across parallel regions.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span>
+ Sharing data between threads requires communication and perhaps locking,
+ which may be expensive.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>?%.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span> Change data
+ distribution or parallel algorithm.</p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span> Container access methods
+ and iterators.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ Keep a shadow for each container. Record iterator dereferences and
+ container member accesses. Issue advice for elements referenced by
+ multiple threads.
+ See paper: <a class="link" href="http://portal.acm.org/citation.cfm?id=207110.207148">
+ The LRPD test: speculative run-time parallelization of loops with
+ privatization and reduction parallelization</a>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Number of accesses to elements referenced from multiple threads
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+</pre><p>
+</p></li></ul></div></div><div class="section" title="False Sharing"><div class="titlepage"><div><div><h4 class="title"><a id="manual.ext.profile_mode.analysis.mthread.false_share"/>False Sharing</h4></div></div></div><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p><span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_FALSE_SHARING</code>.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Goal:</em></span> Detect elements in the
+ same container which share a cache line, are written by at least one
+ thread, and accessed by different threads.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Fundamentals:</em></span> Under these assumptions,
+ cache protocols require
+ communication to invalidate lines, which may be expensive.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Sample runtime reduction:</em></span>68%.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Recommendation:</em></span> Reorganize container
+ or use padding to avoid false sharing.</p></li><li class="listitem"><p><span class="emphasis"><em>To instrument:</em></span> Container access methods
+ and iterators.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Analysis:</em></span>
+ First, get the cache line size.
+ For each shared container, record all the associated iterator dereferences
+ and member access methods with the thread id. Compare the address lists
+ across threads to detect references in two different threads to the same
+ cache line. Issue a warning only if the ratio to total references is
+ significant. Do the same for iterator dereference values if they are
+ pointers.</p></li><li class="listitem"><p><span class="emphasis"><em>Cost model:</em></span>
+ Number of accesses to same cache line from different threads.
+ </p></li><li class="listitem"><p><span class="emphasis"><em>Example:</em></span>
+</p><pre class="programlisting">
+1 vector&lt;int&gt; v(2, 0);
+2 #pragma omp parallel for shared(v, SIZE) schedule(static, 1)
+3 for (i = 0; i &lt; SIZE; ++i) {
+4 v[i % 2] += i;
+5 }
+
+OMP_NUM_THREADS=2 ./a.out
+foo.cc:1: advice: Change container structure or padding to avoid false
+sharing in multithreaded access at foo.cc:4. Detected N shared cache lines.
+</pre><p>
+</p></li></ul></div></div></div><div class="section" title="Statistics"><div class="titlepage"><div><div><h3 class="title"><a id="manual.ext.profile_mode.analysis.statistics"/>Statistics</h3></div></div></div><p>
+<span class="emphasis"><em>Switch:</em></span>
+ <code class="code">_GLIBCXX_PROFILE_STATISTICS</code>.
+</p><p>
+ In some cases the cost model may not tell us anything because the costs
+ appear to offset the benefits. Consider the choice between a vector and
+ a list. When there are both inserts and iteration, an automatic advice
+ may not be issued. However, the programmer may still be able to make use
+ of this information in a different way.
+</p><p>
+ This diagnostic will not issue any advice, but it will print statistics for
+ each container construction site. The statistics will contain the cost
+ of each operation actually performed on the container.
+</p></div></div><div class="navfooter"><hr/><table width="100%" summary="Navigation footer"><tr><td align="left"><a accesskey="p" href="bk01pt03ch19s06.html">Prev</a> </td><td align="center"><a accesskey="u" href="profile_mode.html">Up</a></td><td align="right"> <a accesskey="n" href="ext_allocators.html">Next</a></td></tr><tr><td align="left" valign="top">Developer Information </td><td align="center"><a accesskey="h" href="../spine.html">Home</a></td><td align="right" valign="top"> Chapter 20. Allocators</td></tr></table></div></body></html>