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			685 lines
		
	
	
		
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			HTML
		
	
	
	
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<html xmlns="http://www.w3.org/1999/xhtml"><head><title>Memory</title><meta name="generator" content="DocBook XSL-NS Stylesheets V1.76.1"/><meta name="keywords" content="
      ISO C++
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      ISO C++
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    "/><link rel="home" href="../index.html" title="The GNU C++ Library"/><link rel="up" href="utilities.html" title="Chapter 6.  Utilities"/><link rel="prev" href="pairs.html" title="Pairs"/><link rel="next" href="traits.html" title="Traits"/></head><body><div class="navheader"><table width="100%" summary="Navigation header"><tr><th colspan="3" align="center">Memory</th></tr><tr><td align="left"><a accesskey="p" href="pairs.html">Prev</a> </td><th width="60%" align="center">Chapter 6. 
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  Utilities
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</th><td align="right"> <a accesskey="n" href="traits.html">Next</a></td></tr></table><hr/></div><div class="section" title="Memory"><div class="titlepage"><div><div><h2 class="title"><a id="std.util.memory"/>Memory</h2></div></div></div><p>
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    Memory contains three general areas. First, function and operator
 | 
						||
    calls via <code class="function">new</code> and <code class="function">delete</code>
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						||
    operator or member function calls.  Second, allocation via
 | 
						||
    <code class="classname">allocator</code>. And finally, smart pointer and
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    intelligent pointer abstractions.
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  </p><div class="section" title="Allocators"><div class="titlepage"><div><div><h3 class="title"><a id="std.util.memory.allocator"/>Allocators</h3></div></div></div><p>
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 Memory management for Standard Library entities is encapsulated in a
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 class template called <code class="classname">allocator</code>. The
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 <code class="classname">allocator</code> abstraction is used throughout the
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 library in <code class="classname">string</code>, container classes,
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 algorithms, and parts of iostreams. This class, and base classes of
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 it, are the superset of available free store (<span class="quote">“<span class="quote">heap</span>”</span>)
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						||
 management classes.
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</p><div class="section" title="Requirements"><div class="titlepage"><div><div><h4 class="title"><a id="allocator.req"/>Requirements</h4></div></div></div><p>
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    The C++ standard only gives a few directives in this area:
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  </p><div class="itemizedlist"><ul class="itemizedlist"><li class="listitem"><p>
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       When you add elements to a container, and the container must
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       allocate more memory to hold them, the container makes the
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       request via its <span class="type">Allocator</span> template
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						||
       parameter, which is usually aliased to
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						||
       <span class="type">allocator_type</span>.  This includes adding chars
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       to the string class, which acts as a regular STL container in
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						||
       this respect.
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      </p></li><li class="listitem"><p>
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       The default <span class="type">Allocator</span> argument of every
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						||
       container-of-T is <code class="classname">allocator<T></code>.
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						||
       </p></li><li class="listitem"><p>
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						||
       The interface of the <code class="classname">allocator<T></code> class is
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						||
	 extremely simple.  It has about 20 public declarations (nested
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						||
	 typedefs, member functions, etc), but the two which concern us most
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						||
	 are:
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						||
       </p><pre class="programlisting">
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	 T*    allocate   (size_type n, const void* hint = 0);
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	 void  deallocate (T* p, size_type n);
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       </pre><p>
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	 The <code class="varname">n</code> arguments in both those
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	 functions is a <span class="emphasis"><em>count</em></span> of the number of
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	 <span class="type">T</span>'s to allocate space for, <span class="emphasis"><em>not their
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	 total size</em></span>.
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	 (This is a simplification; the real signatures use nested typedefs.)
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       </p></li><li class="listitem"><p>
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	 The storage is obtained by calling <code class="function">::operator
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						||
	 new</code>, but it is unspecified when or how
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						||
	 often this function is called.  The use of the
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						||
	 <code class="varname">hint</code> is unspecified, but intended as an
 | 
						||
	 aid to locality if an implementation so
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						||
	 desires. <code class="constant">[20.4.1.1]/6</code>
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       </p></li></ul></div><p>
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     Complete details can be found in the C++ standard, look in
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     <code class="constant">[20.4 Memory]</code>.
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   </p></div><div class="section" title="Design Issues"><div class="titlepage"><div><div><h4 class="title"><a id="allocator.design_issues"/>Design Issues</h4></div></div></div><p>
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    The easiest way of fulfilling the requirements is to call
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    <code class="function">operator new</code> each time a container needs
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    memory, and to call <code class="function">operator delete</code> each time
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    the container releases memory. This method may be <a class="link" href="http://gcc.gnu.org/ml/libstdc++/2001-05/msg00105.html">slower</a>
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    than caching the allocations and re-using previously-allocated
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    memory, but has the advantage of working correctly across a wide
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    variety of hardware and operating systems, including large
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    clusters. The <code class="classname">__gnu_cxx::new_allocator</code>
 | 
						||
    implements the simple operator new and operator delete semantics,
 | 
						||
    while <code class="classname">__gnu_cxx::malloc_allocator</code>
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    implements much the same thing, only with the C language functions
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    <code class="function">std::malloc</code> and <code class="function">free</code>.
 | 
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  </p><p>
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    Another approach is to use intelligence within the allocator
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    class to cache allocations. This extra machinery can take a variety
 | 
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    of forms: a bitmap index, an index into an exponentially increasing
 | 
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    power-of-two-sized buckets, or simpler fixed-size pooling cache.
 | 
						||
    The cache is shared among all the containers in the program: when
 | 
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    your program's <code class="classname">std::vector<int></code> gets
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  cut in half and frees a bunch of its storage, that memory can be
 | 
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  reused by the private
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  <code class="classname">std::list<WonkyWidget></code> brought in from
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  a KDE library that you linked against.  And operators
 | 
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  <code class="function">new</code> and <code class="function">delete</code> are not
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  always called to pass the memory on, either, which is a speed
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  bonus. Examples of allocators that use these techniques are
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  <code class="classname">__gnu_cxx::bitmap_allocator</code>,
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  <code class="classname">__gnu_cxx::pool_allocator</code>, and
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  <code class="classname">__gnu_cxx::__mt_alloc</code>.
 | 
						||
  </p><p>
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    Depending on the implementation techniques used, the underlying
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    operating system, and compilation environment, scaling caching
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    allocators can be tricky. In particular, order-of-destruction and
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    order-of-creation for memory pools may be difficult to pin down
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    with certainty, which may create problems when used with plugins
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    or loading and unloading shared objects in memory. As such, using
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    caching allocators on systems that do not support
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    <code class="function">abi::__cxa_atexit</code> is not recommended.
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  </p></div><div class="section" title="Implementation"><div class="titlepage"><div><div><h4 class="title"><a id="allocator.impl"/>Implementation</h4></div></div></div><div class="section" title="Interface Design"><div class="titlepage"><div><div><h5 class="title"><a id="id485345"/>Interface Design</h5></div></div></div><p>
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     The only allocator interface that
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     is supported is the standard C++ interface. As such, all STL
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     containers have been adjusted, and all external allocators have
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     been modified to support this change.
 | 
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   </p><p>
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     The class <code class="classname">allocator</code> just has typedef,
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   constructor, and rebind members. It inherits from one of the
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   high-speed extension allocators, covered below. Thus, all
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   allocation and deallocation depends on the base class.
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   </p><p>
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     The base class that <code class="classname">allocator</code> is derived from
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     may not be user-configurable.
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</p></div><div class="section" title="Selecting Default Allocation Policy"><div class="titlepage"><div><div><h5 class="title"><a id="id485374"/>Selecting Default Allocation Policy</h5></div></div></div><p>
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     It's difficult to pick an allocation strategy that will provide
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   maximum utility, without excessively penalizing some behavior. In
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   fact, it's difficult just deciding which typical actions to measure
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   for speed.
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   </p><p>
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     Three synthetic benchmarks have been created that provide data
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     that is used to compare different C++ allocators. These tests are:
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   </p><div class="orderedlist"><ol class="orderedlist"><li class="listitem"><p>
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       Insertion.
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       </p><p>
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       Over multiple iterations, various STL container
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     objects have elements inserted to some maximum amount. A variety
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     of allocators are tested.
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     Test source for <a class="link" href="http://gcc.gnu.org/viewcvs/trunk/libstdc%2B%2B-v3/testsuite/performance/23_containers/insert/sequence.cc?view=markup">sequence</a>
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     and <a class="link" href="http://gcc.gnu.org/viewcvs/trunk/libstdc%2B%2B-v3/testsuite/performance/23_containers/insert/associative.cc?view=markup">associative</a>
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     containers.
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       </p></li><li class="listitem"><p>
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       Insertion and erasure in a multi-threaded environment.
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       </p><p>
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       This test shows the ability of the allocator to reclaim memory
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     on a per-thread basis, as well as measuring thread contention
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     for memory resources.
 | 
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     Test source
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    <a class="link" href="http://gcc.gnu.org/viewcvs/trunk/libstdc%2B%2B-v3/testsuite/performance/23_containers/insert_erase/associative.cc?view=markup">here</a>.
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       </p></li><li class="listitem"><p>
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	 A threaded producer/consumer model.
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						||
       </p><p>
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       Test source for
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     <a class="link" href="http://gcc.gnu.org/viewcvs/trunk/libstdc++-v3/testsuite/performance/23_containers/producer_consumer/sequence.cc?view=markup">sequence</a>
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     and
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     <a class="link" href="http://gcc.gnu.org/viewcvs/trunk/libstdc++-v3/testsuite/performance/23_containers/producer_consumer/associative.cc?view=markup">associative</a>
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     containers.
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     </p></li></ol></div><p>
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     The current default choice for
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     <code class="classname">allocator</code> is
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     <code class="classname">__gnu_cxx::new_allocator</code>.
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   </p></div><div class="section" title="Disabling Memory Caching"><div class="titlepage"><div><div><h5 class="title"><a id="id485485"/>Disabling Memory Caching</h5></div></div></div><p>
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						||
      In use, <code class="classname">allocator</code> may allocate and
 | 
						||
      deallocate using implementation-specified strategies and
 | 
						||
      heuristics. Because of this, every call to an allocator object's
 | 
						||
      <code class="function">allocate</code> member function may not actually
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						||
      call the global operator new. This situation is also duplicated
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						||
      for calls to the <code class="function">deallocate</code> member
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						||
      function.
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						||
    </p><p>
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						||
     This can be confusing.
 | 
						||
   </p><p>
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						||
     In particular, this can make debugging memory errors more
 | 
						||
     difficult, especially when using third party tools like valgrind or
 | 
						||
     debug versions of <code class="function">new</code>.
 | 
						||
   </p><p>
 | 
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     There are various ways to solve this problem. One would be to use
 | 
						||
     a custom allocator that just called operators
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     <code class="function">new</code> and <code class="function">delete</code>
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						||
     directly, for every allocation. (See
 | 
						||
     <code class="filename">include/ext/new_allocator.h</code>, for instance.)
 | 
						||
     However, that option would involve changing source code to use
 | 
						||
     a non-default allocator. Another option is to force the
 | 
						||
     default allocator to remove caching and pools, and to directly
 | 
						||
     allocate with every call of <code class="function">allocate</code> and
 | 
						||
     directly deallocate with every call of
 | 
						||
     <code class="function">deallocate</code>, regardless of efficiency. As it
 | 
						||
     turns out, this last option is also available.
 | 
						||
   </p><p>
 | 
						||
     To globally disable memory caching within the library for the
 | 
						||
     default allocator, merely set
 | 
						||
     <code class="constant">GLIBCXX_FORCE_NEW</code> (with any value) in the
 | 
						||
     system's environment before running the program. If your program
 | 
						||
     crashes with <code class="constant">GLIBCXX_FORCE_NEW</code> in the
 | 
						||
     environment, it likely means that you linked against objects
 | 
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     built against the older library (objects which might still using the
 | 
						||
     cached allocations...).
 | 
						||
  </p></div></div><div class="section" title="Using a Specific Allocator"><div class="titlepage"><div><div><h4 class="title"><a id="allocator.using"/>Using a Specific Allocator</h4></div></div></div><p>
 | 
						||
     You can specify different memory management schemes on a
 | 
						||
     per-container basis, by overriding the default
 | 
						||
     <span class="type">Allocator</span> template parameter.  For example, an easy
 | 
						||
      (but non-portable) method of specifying that only <code class="function">malloc</code> or <code class="function">free</code>
 | 
						||
      should be used instead of the default node allocator is:
 | 
						||
   </p><pre class="programlisting">
 | 
						||
    std::list <int, __gnu_cxx::malloc_allocator<int> >  malloc_list;</pre><p>
 | 
						||
      Likewise, a debugging form of whichever allocator is currently in use:
 | 
						||
    </p><pre class="programlisting">
 | 
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    std::deque <int, __gnu_cxx::debug_allocator<std::allocator<int> > >  debug_deque;
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						||
      </pre></div><div class="section" title="Custom Allocators"><div class="titlepage"><div><div><h4 class="title"><a id="allocator.custom"/>Custom Allocators</h4></div></div></div><p>
 | 
						||
    Writing a portable C++ allocator would dictate that the interface
 | 
						||
    would look much like the one specified for
 | 
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    <code class="classname">allocator</code>. Additional member functions, but
 | 
						||
    not subtractions, would be permissible.
 | 
						||
  </p><p>
 | 
						||
     Probably the best place to start would be to copy one of the
 | 
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   extension allocators: say a simple one like
 | 
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   <code class="classname">new_allocator</code>.
 | 
						||
   </p></div><div class="section" title="Extension Allocators"><div class="titlepage"><div><div><h4 class="title"><a id="allocator.ext"/>Extension Allocators</h4></div></div></div><p>
 | 
						||
    Several other allocators are provided as part of this
 | 
						||
    implementation.  The location of the extension allocators and their
 | 
						||
    names have changed, but in all cases, functionality is
 | 
						||
    equivalent. Starting with gcc-3.4, all extension allocators are
 | 
						||
    standard style. Before this point, SGI style was the norm. Because of
 | 
						||
    this, the number of template arguments also changed. Here's a simple
 | 
						||
    chart to track the changes.
 | 
						||
  </p><p>
 | 
						||
    More details on each of these extension allocators follows.
 | 
						||
  </p><div class="orderedlist"><ol class="orderedlist"><li class="listitem"><p>
 | 
						||
       <code class="classname">new_allocator</code>
 | 
						||
       </p><p>
 | 
						||
	 Simply wraps <code class="function">::operator new</code>
 | 
						||
	 and <code class="function">::operator delete</code>.
 | 
						||
       </p></li><li class="listitem"><p>
 | 
						||
       <code class="classname">malloc_allocator</code>
 | 
						||
       </p><p>
 | 
						||
	 Simply wraps <code class="function">malloc</code> and
 | 
						||
	 <code class="function">free</code>. There is also a hook for an
 | 
						||
	 out-of-memory handler (for
 | 
						||
	 <code class="function">new</code>/<code class="function">delete</code> this is
 | 
						||
	 taken care of elsewhere).
 | 
						||
       </p></li><li class="listitem"><p>
 | 
						||
       <code class="classname">array_allocator</code>
 | 
						||
       </p><p>
 | 
						||
	 Allows allocations of known and fixed sizes using existing
 | 
						||
	 global or external storage allocated via construction of
 | 
						||
	 <code class="classname">std::tr1::array</code> objects. By using this
 | 
						||
	 allocator, fixed size containers (including
 | 
						||
	 <code class="classname">std::string</code>) can be used without
 | 
						||
	 instances calling <code class="function">::operator new</code> and
 | 
						||
	 <code class="function">::operator delete</code>. This capability
 | 
						||
	 allows the use of STL abstractions without runtime
 | 
						||
	 complications or overhead, even in situations such as program
 | 
						||
	 startup. For usage examples, please consult the testsuite.
 | 
						||
       </p></li><li class="listitem"><p>
 | 
						||
       <code class="classname">debug_allocator</code>
 | 
						||
       </p><p>
 | 
						||
	 A wrapper around an arbitrary allocator A.  It passes on
 | 
						||
	 slightly increased size requests to A, and uses the extra
 | 
						||
	 memory to store size information.  When a pointer is passed
 | 
						||
	 to <code class="function">deallocate()</code>, the stored size is
 | 
						||
	 checked, and <code class="function">assert()</code> is used to
 | 
						||
	 guarantee they match.
 | 
						||
       </p></li><li class="listitem"><p>
 | 
						||
	<code class="classname">throw_allocator</code>
 | 
						||
	</p><p>
 | 
						||
	  Includes memory tracking and marking abilities as well as hooks for
 | 
						||
	  throwing exceptions at configurable intervals (including random,
 | 
						||
	  all, none).
 | 
						||
	</p></li><li class="listitem"><p>
 | 
						||
       <code class="classname">__pool_alloc</code>
 | 
						||
       </p><p>
 | 
						||
	 A high-performance, single pool allocator.  The reusable
 | 
						||
	 memory is shared among identical instantiations of this type.
 | 
						||
	 It calls through <code class="function">::operator new</code> to
 | 
						||
	 obtain new memory when its lists run out.  If a client
 | 
						||
	 container requests a block larger than a certain threshold
 | 
						||
	 size, then the pool is bypassed, and the allocate/deallocate
 | 
						||
	 request is passed to <code class="function">::operator new</code>
 | 
						||
	 directly.
 | 
						||
       </p><p>
 | 
						||
	 Older versions of this class take a boolean template
 | 
						||
	 parameter, called <code class="varname">thr</code>, and an integer template
 | 
						||
	 parameter, called <code class="varname">inst</code>.
 | 
						||
       </p><p>
 | 
						||
	 The <code class="varname">inst</code> number is used to track additional memory
 | 
						||
      pools.  The point of the number is to allow multiple
 | 
						||
      instantiations of the classes without changing the semantics at
 | 
						||
      all.  All three of
 | 
						||
       </p><pre class="programlisting">
 | 
						||
    typedef  __pool_alloc<true,0>    normal;
 | 
						||
    typedef  __pool_alloc<true,1>    private;
 | 
						||
    typedef  __pool_alloc<true,42>   also_private;
 | 
						||
   </pre><p>
 | 
						||
     behave exactly the same way.  However, the memory pool for each type
 | 
						||
      (and remember that different instantiations result in different types)
 | 
						||
      remains separate.
 | 
						||
   </p><p>
 | 
						||
     The library uses <span class="emphasis"><em>0</em></span> in all its instantiations.  If you
 | 
						||
      wish to keep separate free lists for a particular purpose, use a
 | 
						||
      different number.
 | 
						||
   </p><p>The <code class="varname">thr</code> boolean determines whether the
 | 
						||
   pool should be manipulated atomically or not.  When
 | 
						||
   <code class="varname">thr</code> = <code class="constant">true</code>, the allocator
 | 
						||
   is thread-safe, while <code class="varname">thr</code> =
 | 
						||
   <code class="constant">false</code>, is slightly faster but unsafe for
 | 
						||
   multiple threads.
 | 
						||
   </p><p>
 | 
						||
     For thread-enabled configurations, the pool is locked with a
 | 
						||
     single big lock. In some situations, this implementation detail
 | 
						||
     may result in severe performance degradation.
 | 
						||
   </p><p>
 | 
						||
     (Note that the GCC thread abstraction layer allows us to provide
 | 
						||
     safe zero-overhead stubs for the threading routines, if threads
 | 
						||
     were disabled at configuration time.)
 | 
						||
   </p></li><li class="listitem"><p>
 | 
						||
       <code class="classname">__mt_alloc</code>
 | 
						||
       </p><p>
 | 
						||
	 A high-performance fixed-size allocator with
 | 
						||
	 exponentially-increasing allocations. It has its own
 | 
						||
	 documentation, found <a class="link" href="mt_allocator.html" title="Chapter 20. The mt_allocator">here</a>.
 | 
						||
       </p></li><li class="listitem"><p>
 | 
						||
       <code class="classname">bitmap_allocator</code>
 | 
						||
       </p><p>
 | 
						||
	 A high-performance allocator that uses a bit-map to keep track
 | 
						||
	 of the used and unused memory locations. It has its own
 | 
						||
	 documentation, found <a class="link" href="bitmap_allocator.html" title="Chapter 21. The bitmap_allocator">here</a>.
 | 
						||
       </p></li></ol></div></div><div class="bibliography" title="Bibliography"><div class="titlepage"><div><div><h4 class="title"><a id="allocator.biblio"/>Bibliography</h4></div></div></div><div class="biblioentry"><a id="id485936"/><p><span class="citetitle"><em class="citetitle">
 | 
						||
    ISO/IEC 14882:1998 Programming languages - C++
 | 
						||
    </em>. </span>
 | 
						||
      isoc++_1998
 | 
						||
    <span class="pagenums">20.4 Memory. </span></p></div><div class="biblioentry" title="The Standard Librarian: What Are Allocators Good For?"><a id="id485951"/><p><span class="title"><em>
 | 
						||
	<a class="link" href="http://www.drdobbs.com/cpp/184403759">
 | 
						||
      The Standard Librarian: What Are Allocators Good For?
 | 
						||
	</a>
 | 
						||
      </em>. </span><span class="author"><span class="firstname">Matt</span> <span class="surname">Austern</span>. </span><span class="publisher"><span class="publishername">
 | 
						||
	C/C++ Users Journal
 | 
						||
      . </span></span></p></div><div class="biblioentry" title="The Hoard Memory Allocator"><a id="id485982"/><p><span class="title"><em>
 | 
						||
	<a class="link" href="http://www.cs.umass.edu/~emery/hoard">
 | 
						||
      The Hoard Memory Allocator
 | 
						||
	</a>
 | 
						||
      </em>. </span><span class="author"><span class="firstname">Emery</span> <span class="surname">Berger</span>. </span></p></div><div class="biblioentry" title="Reconsidering Custom Memory Allocation"><a id="id486005"/><p><span class="title"><em>
 | 
						||
	<a class="link" href="http://www.cs.umass.edu/~emery/pubs/berger-oopsla2002.pdf">
 | 
						||
      Reconsidering Custom Memory Allocation
 | 
						||
	</a>
 | 
						||
      </em>. </span><span class="author"><span class="firstname">Emery</span> <span class="surname">Berger</span>. </span><span class="author"><span class="firstname">Ben</span> <span class="surname">Zorn</span>. </span><span class="author"><span class="firstname">Kathryn</span> <span class="surname">McKinley</span>. </span><span class="copyright">Copyright © 2002 OOPSLA. </span></p></div><div class="biblioentry" title="Allocator Types"><a id="id486057"/><p><span class="title"><em>
 | 
						||
	<a class="link" href="http://www.angelikalanger.com/Articles/C++Report/Allocators/Allocators.html">
 | 
						||
      Allocator Types
 | 
						||
	</a>
 | 
						||
      </em>. </span><span class="author"><span class="firstname">Klaus</span> <span class="surname">Kreft</span>. </span><span class="author"><span class="firstname">Angelika</span> <span class="surname">Langer</span>. </span><span class="publisher"><span class="publishername">
 | 
						||
	C/C++ Users Journal
 | 
						||
      . </span></span></p></div><div class="biblioentry"><a id="id486096"/><p><span class="citetitle"><em class="citetitle">The C++ Programming Language</em>. </span><span class="author"><span class="firstname">Bjarne</span> <span class="surname">Stroustrup</span>. </span><span class="copyright">Copyright © 2000 . </span><span class="pagenums">19.4 Allocators. </span><span class="publisher"><span class="publishername">
 | 
						||
	Addison Wesley
 | 
						||
      . </span></span></p></div><div class="biblioentry"><a id="id486133"/><p><span class="citetitle"><em class="citetitle">Yalloc: A Recycling C++ Allocator</em>. </span><span class="author"><span class="firstname">Felix</span> <span class="surname">Yen</span>. </span></p></div></div></div><div class="section" title="auto_ptr"><div class="titlepage"><div><div><h3 class="title"><a id="std.util.memory.auto_ptr"/>auto_ptr</h3></div></div></div><div class="section" title="Limitations"><div class="titlepage"><div><div><h4 class="title"><a id="auto_ptr.limitations"/>Limitations</h4></div></div></div><p>Explaining all of the fun and delicious things that can
 | 
						||
   happen with misuse of the <code class="classname">auto_ptr</code> class
 | 
						||
   template (called <acronym class="acronym">AP</acronym> here) would take some
 | 
						||
   time. Suffice it to say that the use of <acronym class="acronym">AP</acronym>
 | 
						||
   safely in the presence of copying has some subtleties.
 | 
						||
   </p><p>
 | 
						||
     The AP class is a really
 | 
						||
      nifty idea for a smart pointer, but it is one of the dumbest of
 | 
						||
      all the smart pointers -- and that's fine.
 | 
						||
   </p><p>
 | 
						||
     AP is not meant to be a supersmart solution to all resource
 | 
						||
      leaks everywhere.  Neither is it meant to be an effective form
 | 
						||
      of garbage collection (although it can help, a little bit).
 | 
						||
      And it can <span class="emphasis"><em>not</em></span>be used for arrays!
 | 
						||
   </p><p>
 | 
						||
     <acronym class="acronym">AP</acronym> is meant to prevent nasty leaks in the
 | 
						||
     presence of exceptions.  That's <span class="emphasis"><em>all</em></span>.  This
 | 
						||
     code is AP-friendly:
 | 
						||
   </p><pre class="programlisting">
 | 
						||
    // Not a recommend naming scheme, but good for web-based FAQs.
 | 
						||
    typedef std::auto_ptr<MyClass>  APMC;
 | 
						||
 | 
						||
    extern function_taking_MyClass_pointer (MyClass*);
 | 
						||
    extern some_throwable_function ();
 | 
						||
 | 
						||
    void func (int data)
 | 
						||
    {
 | 
						||
	APMC  ap (new MyClass(data));
 | 
						||
 | 
						||
	some_throwable_function();   // this will throw an exception
 | 
						||
 | 
						||
	function_taking_MyClass_pointer (ap.get());
 | 
						||
    }
 | 
						||
   </pre><p>When an exception gets thrown, the instance of MyClass that's
 | 
						||
      been created on the heap will be <code class="function">delete</code>'d as the stack is
 | 
						||
      unwound past <code class="function">func()</code>.
 | 
						||
   </p><p>Changing that code as follows is not <acronym class="acronym">AP</acronym>-friendly:
 | 
						||
   </p><pre class="programlisting">
 | 
						||
	APMC  ap (new MyClass[22]);
 | 
						||
   </pre><p>You will get the same problems as you would without the use
 | 
						||
      of <acronym class="acronym">AP</acronym>:
 | 
						||
   </p><pre class="programlisting">
 | 
						||
	char*  array = new char[10];       // array new...
 | 
						||
	...
 | 
						||
	delete array;                      // ...but single-object delete
 | 
						||
   </pre><p>
 | 
						||
     AP cannot tell whether the pointer you've passed at creation points
 | 
						||
      to one or many things.  If it points to many things, you are about
 | 
						||
      to die.  AP is trivial to write, however, so you could write your
 | 
						||
      own <code class="code">auto_array_ptr</code> for that situation (in fact, this has
 | 
						||
      been done many times; check the mailing lists, Usenet, Boost, etc).
 | 
						||
   </p></div><div class="section" title="Use in Containers"><div class="titlepage"><div><div><h4 class="title"><a id="auto_ptr.using"/>Use in Containers</h4></div></div></div><p>
 | 
						||
  </p><p>All of the <a class="link" href="containers.html" title="Chapter 9.  Containers">containers</a>
 | 
						||
      described in the standard library require their contained types
 | 
						||
      to have, among other things, a copy constructor like this:
 | 
						||
  </p><pre class="programlisting">
 | 
						||
    struct My_Type
 | 
						||
    {
 | 
						||
	My_Type (My_Type const&);
 | 
						||
    };
 | 
						||
   </pre><p>
 | 
						||
     Note the const keyword; the object being copied shouldn't change.
 | 
						||
     The template class <code class="code">auto_ptr</code> (called AP here) does not
 | 
						||
     meet this requirement.  Creating a new AP by copying an existing
 | 
						||
     one transfers ownership of the pointed-to object, which means that
 | 
						||
     the AP being copied must change, which in turn means that the
 | 
						||
     copy ctors of AP do not take const objects.
 | 
						||
   </p><p>
 | 
						||
     The resulting rule is simple: <span class="emphasis"><em>Never ever use a
 | 
						||
     container of auto_ptr objects</em></span>. The standard says that
 | 
						||
     <span class="quote">“<span class="quote">undefined</span>”</span> behavior is the result, but it is
 | 
						||
     guaranteed to be messy.
 | 
						||
   </p><p>
 | 
						||
     To prevent you from doing this to yourself, the
 | 
						||
      <a class="link" href="ext_compile_checks.html" title="Chapter 16. Compile Time Checks">concept checks</a> built
 | 
						||
      in to this implementation will issue an error if you try to
 | 
						||
      compile code like this:
 | 
						||
   </p><pre class="programlisting">
 | 
						||
    #include <vector>
 | 
						||
    #include <memory>
 | 
						||
 | 
						||
    void f()
 | 
						||
    {
 | 
						||
	std::vector< std::auto_ptr<int> >   vec_ap_int;
 | 
						||
    }
 | 
						||
   </pre><p>
 | 
						||
Should you try this with the checks enabled, you will see an error.
 | 
						||
   </p></div></div><div class="section" title="shared_ptr"><div class="titlepage"><div><div><h3 class="title"><a id="std.util.memory.shared_ptr"/>shared_ptr</h3></div></div></div><p>
 | 
						||
The shared_ptr class template stores a pointer, usually obtained via new,
 | 
						||
and implements shared ownership semantics.
 | 
						||
</p><div class="section" title="Requirements"><div class="titlepage"><div><div><h4 class="title"><a id="shared_ptr.req"/>Requirements</h4></div></div></div><p>
 | 
						||
  </p><p>
 | 
						||
    The standard deliberately doesn't require a reference-counted
 | 
						||
    implementation, allowing other techniques such as a
 | 
						||
    circular-linked-list.
 | 
						||
  </p><p>
 | 
						||
  </p></div><div class="section" title="Design Issues"><div class="titlepage"><div><div><h4 class="title"><a id="shared_ptr.design_issues"/>Design Issues</h4></div></div></div><p>
 | 
						||
The <code class="classname">shared_ptr</code> code is kindly donated to GCC by the Boost
 | 
						||
project and the original authors of the code. The basic design and
 | 
						||
algorithms are from Boost, the notes below describe details specific to
 | 
						||
the GCC implementation. Names have been uglified in this implementation,
 | 
						||
but the design should be recognisable to anyone familiar with the Boost
 | 
						||
1.32 shared_ptr.
 | 
						||
  </p><p>
 | 
						||
The basic design is an abstract base class, <code class="code">_Sp_counted_base</code> that
 | 
						||
does the reference-counting and calls virtual functions when the count
 | 
						||
drops to zero.
 | 
						||
Derived classes override those functions to destroy resources in a context
 | 
						||
where the correct dynamic type is known. This is an application of the
 | 
						||
technique known as type erasure.
 | 
						||
  </p></div><div class="section" title="Implementation"><div class="titlepage"><div><div><h4 class="title"><a id="shared_ptr.impl"/>Implementation</h4></div></div></div><div class="section" title="Class Hierarchy"><div class="titlepage"><div><div><h5 class="title"><a id="id486484"/>Class Hierarchy</h5></div></div></div><p>
 | 
						||
A <code class="classname">shared_ptr<T></code> contains a pointer of
 | 
						||
type <span class="type">T*</span> and an object of type
 | 
						||
<code class="classname">__shared_count</code>. The shared_count contains a
 | 
						||
pointer of type <span class="type">_Sp_counted_base*</span> which points to the
 | 
						||
object that maintains the reference-counts and destroys the managed
 | 
						||
resource.
 | 
						||
    </p><div class="variablelist"><dl><dt><span class="term"><code class="classname">_Sp_counted_base<Lp></code></span></dt><dd><p>
 | 
						||
The base of the hierarchy is parameterized on the lock policy (see below.)
 | 
						||
_Sp_counted_base doesn't depend on the type of pointer being managed,
 | 
						||
it only maintains the reference counts and calls virtual functions when
 | 
						||
the counts drop to zero. The managed object is destroyed when the last
 | 
						||
strong reference is dropped, but the _Sp_counted_base itself must exist
 | 
						||
until the last weak reference is dropped.
 | 
						||
    </p></dd><dt><span class="term"><code class="classname">_Sp_counted_base_impl<Ptr, Deleter, Lp></code></span></dt><dd><p>
 | 
						||
Inherits from _Sp_counted_base and stores a pointer of type <code class="code">Ptr</code>
 | 
						||
and a deleter of type <code class="code">Deleter</code>.  <code class="classname">_Sp_deleter</code> is
 | 
						||
used when the user doesn't supply a custom deleter. Unlike Boost's, this
 | 
						||
default deleter is not "checked" because GCC already issues a warning if
 | 
						||
<code class="function">delete</code> is used with an incomplete type.
 | 
						||
This is the only derived type used by <code class="classname">tr1::shared_ptr<Ptr></code>
 | 
						||
and it is never used by <code class="classname">std::shared_ptr</code>, which uses one of
 | 
						||
the following types, depending on how the shared_ptr is constructed.
 | 
						||
    </p></dd><dt><span class="term"><code class="classname">_Sp_counted_ptr<Ptr, Lp></code></span></dt><dd><p>
 | 
						||
Inherits from _Sp_counted_base and stores a pointer of type <span class="type">Ptr</span>,
 | 
						||
which is passed to <code class="function">delete</code> when the last reference is dropped.
 | 
						||
This is the simplest form and is used when there is no custom deleter or
 | 
						||
allocator.
 | 
						||
    </p></dd><dt><span class="term"><code class="classname">_Sp_counted_deleter<Ptr, Deleter, Alloc></code></span></dt><dd><p>
 | 
						||
Inherits from _Sp_counted_ptr and adds support for custom deleter and
 | 
						||
allocator. Empty Base Optimization is used for the allocator. This class
 | 
						||
is used even when the user only provides a custom deleter, in which case
 | 
						||
<code class="classname">allocator</code> is used as the allocator.
 | 
						||
    </p></dd><dt><span class="term"><code class="classname">_Sp_counted_ptr_inplace<Tp, Alloc, Lp></code></span></dt><dd><p>
 | 
						||
Used by <code class="code">allocate_shared</code> and <code class="code">make_shared</code>.
 | 
						||
Contains aligned storage to hold an object of type <span class="type">Tp</span>,
 | 
						||
which is constructed in-place with placement <code class="function">new</code>.
 | 
						||
Has a variadic template constructor allowing any number of arguments to
 | 
						||
be forwarded to <span class="type">Tp</span>'s constructor.
 | 
						||
Unlike the other <code class="classname">_Sp_counted_*</code> classes, this one is parameterized on the
 | 
						||
type of object, not the type of pointer; this is purely a convenience
 | 
						||
that simplifies the implementation slightly.
 | 
						||
    </p></dd></dl></div><p>
 | 
						||
C++11-only features are: rvalue-ref/move support, allocator support,
 | 
						||
aliasing constructor, make_shared & allocate_shared. Additionally,
 | 
						||
the constructors taking <code class="classname">auto_ptr</code> parameters are
 | 
						||
deprecated in C++11 mode.
 | 
						||
    </p></div><div class="section" title="Thread Safety"><div class="titlepage"><div><div><h5 class="title"><a id="id486672"/>Thread Safety</h5></div></div></div><p>
 | 
						||
The
 | 
						||
<a class="link" href="http://boost.org/libs/smart_ptr/shared_ptr.htm#ThreadSafety">Thread
 | 
						||
Safety</a> section of the Boost shared_ptr documentation says "shared_ptr
 | 
						||
objects offer the same level of thread safety as built-in types."
 | 
						||
The implementation must ensure that concurrent updates to separate shared_ptr
 | 
						||
instances are correct even when those instances share a reference count e.g.
 | 
						||
</p><pre class="programlisting">
 | 
						||
shared_ptr<A> a(new A);
 | 
						||
shared_ptr<A> b(a);
 | 
						||
 | 
						||
// Thread 1     // Thread 2
 | 
						||
   a.reset();      b.reset();
 | 
						||
</pre><p>
 | 
						||
The dynamically-allocated object must be destroyed by exactly one of the
 | 
						||
threads. Weak references make things even more interesting.
 | 
						||
The shared state used to implement shared_ptr must be transparent to the
 | 
						||
user and invariants must be preserved at all times.
 | 
						||
The key pieces of shared state are the strong and weak reference counts.
 | 
						||
Updates to these need to be atomic and visible to all threads to ensure
 | 
						||
correct cleanup of the managed resource (which is, after all, shared_ptr's
 | 
						||
job!)
 | 
						||
On multi-processor systems memory synchronisation may be needed so that
 | 
						||
reference-count updates and the destruction of the managed resource are
 | 
						||
race-free.
 | 
						||
</p><p>
 | 
						||
The function <code class="function">_Sp_counted_base::_M_add_ref_lock()</code>, called when
 | 
						||
obtaining a shared_ptr from a weak_ptr, has to test if the managed
 | 
						||
resource still exists and either increment the reference count or throw
 | 
						||
<code class="classname">bad_weak_ptr</code>.
 | 
						||
In a multi-threaded program there is a potential race condition if the last
 | 
						||
reference is dropped (and the managed resource destroyed) between testing
 | 
						||
the reference count and incrementing it, which could result in a shared_ptr
 | 
						||
pointing to invalid memory.
 | 
						||
</p><p>
 | 
						||
The Boost shared_ptr (as used in GCC) features a clever lock-free
 | 
						||
algorithm to avoid the race condition, but this relies on the
 | 
						||
processor supporting an atomic <span class="emphasis"><em>Compare-And-Swap</em></span>
 | 
						||
instruction. For other platforms there are fall-backs using mutex
 | 
						||
locks.  Boost (as of version 1.35) includes several different
 | 
						||
implementations and the preprocessor selects one based on the
 | 
						||
compiler, standard library, platform etc. For the version of
 | 
						||
shared_ptr in libstdc++ the compiler and library are fixed, which
 | 
						||
makes things much simpler: we have an atomic CAS or we don't, see Lock
 | 
						||
Policy below for details.
 | 
						||
</p></div><div class="section" title="Selecting Lock Policy"><div class="titlepage"><div><div><h5 class="title"><a id="id486733"/>Selecting Lock Policy</h5></div></div></div><p>
 | 
						||
    </p><p>
 | 
						||
There is a single <code class="classname">_Sp_counted_base</code> class,
 | 
						||
which is a template parameterized on the enum
 | 
						||
<span class="type">__gnu_cxx::_Lock_policy</span>.  The entire family of classes is
 | 
						||
parameterized on the lock policy, right up to
 | 
						||
<code class="classname">__shared_ptr</code>, <code class="classname">__weak_ptr</code> and
 | 
						||
<code class="classname">__enable_shared_from_this</code>. The actual
 | 
						||
<code class="classname">std::shared_ptr</code> class inherits from
 | 
						||
<code class="classname">__shared_ptr</code> with the lock policy parameter
 | 
						||
selected automatically based on the thread model and platform that
 | 
						||
libstdc++ is configured for, so that the best available template
 | 
						||
specialization will be used. This design is necessary because it would
 | 
						||
not be conforming for <code class="classname">shared_ptr</code> to have an
 | 
						||
extra template parameter, even if it had a default value.  The
 | 
						||
available policies are:
 | 
						||
    </p><div class="orderedlist"><ol class="orderedlist"><li class="listitem"><p>
 | 
						||
       <code class="constant">_S_Atomic</code>
 | 
						||
       </p><p>
 | 
						||
Selected when GCC supports a builtin atomic compare-and-swap operation
 | 
						||
on the target processor (see <a class="link" href="http://gcc.gnu.org/onlinedocs/gcc/Atomic-Builtins.html">Atomic
 | 
						||
Builtins</a>.)  The reference counts are maintained using a lock-free
 | 
						||
algorithm and GCC's atomic builtins, which provide the required memory
 | 
						||
synchronisation.
 | 
						||
       </p></li><li class="listitem"><p>
 | 
						||
       <code class="constant">_S_Mutex</code>
 | 
						||
       </p><p>
 | 
						||
The _Sp_counted_base specialization for this policy contains a mutex,
 | 
						||
which is locked in add_ref_lock(). This policy is used when GCC's atomic
 | 
						||
builtins aren't available so explicit memory barriers are needed in places.
 | 
						||
       </p></li><li class="listitem"><p>
 | 
						||
       <code class="constant">_S_Single</code>
 | 
						||
       </p><p>
 | 
						||
This policy uses a non-reentrant add_ref_lock() with no locking. It is
 | 
						||
used when libstdc++ is built without <code class="literal">--enable-threads</code>.
 | 
						||
       </p></li></ol></div><p>
 | 
						||
       For all three policies, reference count increments and
 | 
						||
       decrements are done via the functions in
 | 
						||
       <code class="filename">ext/atomicity.h</code>, which detect if the program
 | 
						||
       is multi-threaded.  If only one thread of execution exists in
 | 
						||
       the program then less expensive non-atomic operations are used.
 | 
						||
     </p></div><div class="section" title="Related functions and classes"><div class="titlepage"><div><div><h5 class="title"><a id="id486854"/>Related functions and classes</h5></div></div></div><div class="variablelist"><dl><dt><span class="term"><code class="code">dynamic_pointer_cast</code>, <code class="code">static_pointer_cast</code>,
 | 
						||
<code class="code">const_pointer_cast</code></span></dt><dd><p>
 | 
						||
As noted in N2351, these functions can be implemented non-intrusively using
 | 
						||
the alias constructor.  However the aliasing constructor is only available
 | 
						||
in C++11 mode, so in TR1 mode these casts rely on three non-standard
 | 
						||
constructors in shared_ptr and __shared_ptr.
 | 
						||
In C++11 mode these constructors and the related tag types are not needed.
 | 
						||
    </p></dd><dt><span class="term"><code class="code">enable_shared_from_this</code></span></dt><dd><p>
 | 
						||
The clever overload to detect a base class of type
 | 
						||
<code class="code">enable_shared_from_this</code> comes straight from Boost.
 | 
						||
There is an extra overload for <code class="code">__enable_shared_from_this</code> to
 | 
						||
work smoothly with <code class="code">__shared_ptr<Tp, Lp></code> using any lock
 | 
						||
policy.
 | 
						||
    </p></dd><dt><span class="term"><code class="code">make_shared</code>, <code class="code">allocate_shared</code></span></dt><dd><p>
 | 
						||
<code class="code">make_shared</code> simply forwards to <code class="code">allocate_shared</code>
 | 
						||
with <code class="code">std::allocator</code> as the allocator.
 | 
						||
Although these functions can be implemented non-intrusively using the
 | 
						||
alias constructor, if they have access to the implementation then it is
 | 
						||
possible to save storage and reduce the number of heap allocations. The
 | 
						||
newly constructed object and the _Sp_counted_* can be allocated in a single
 | 
						||
block and the standard says implementations are "encouraged, but not required,"
 | 
						||
to do so. This implementation provides additional non-standard constructors
 | 
						||
(selected with the type <code class="code">_Sp_make_shared_tag</code>) which create an
 | 
						||
object of type <code class="code">_Sp_counted_ptr_inplace</code> to hold the new object.
 | 
						||
The returned <code class="code">shared_ptr<A></code> needs to know the address of the
 | 
						||
new <code class="code">A</code> object embedded in the <code class="code">_Sp_counted_ptr_inplace</code>,
 | 
						||
but it has no way to access it.
 | 
						||
This implementation uses a "covert channel" to return the address of the
 | 
						||
embedded object when <code class="code">get_deleter<_Sp_make_shared_tag>()</code>
 | 
						||
is called.  Users should not try to use this.
 | 
						||
As well as the extra constructors, this implementation also needs some
 | 
						||
members of _Sp_counted_deleter to be protected where they could otherwise
 | 
						||
be private.
 | 
						||
    </p></dd></dl></div></div></div><div class="section" title="Use"><div class="titlepage"><div><div><h4 class="title"><a id="shared_ptr.using"/>Use</h4></div></div></div><div class="section" title="Examples"><div class="titlepage"><div><div><h5 class="title"><a id="id499306"/>Examples</h5></div></div></div><p>
 | 
						||
      Examples of use can be found in the testsuite, under
 | 
						||
      <code class="filename">testsuite/tr1/2_general_utilities/shared_ptr</code>,
 | 
						||
      <code class="filename">testsuite/20_util/shared_ptr</code>
 | 
						||
      and
 | 
						||
      <code class="filename">testsuite/20_util/weak_ptr</code>.
 | 
						||
    </p></div><div class="section" title="Unresolved Issues"><div class="titlepage"><div><div><h5 class="title"><a id="id499336"/>Unresolved Issues</h5></div></div></div><p>
 | 
						||
      The <span class="emphasis"><em><code class="classname">shared_ptr</code> atomic access</em></span>
 | 
						||
      clause in the C++11 standard is not implemented in GCC.
 | 
						||
    </p><p>
 | 
						||
      The <span class="type">_S_single</span> policy uses atomics when used in MT
 | 
						||
      code, because it uses the same dispatcher functions that check
 | 
						||
      <code class="function">__gthread_active_p()</code>. This could be
 | 
						||
      addressed by providing template specialisations for some members
 | 
						||
      of <code class="classname">_Sp_counted_base<_S_single></code>.
 | 
						||
    </p><p>
 | 
						||
      Unlike Boost, this implementation does not use separate classes
 | 
						||
      for the pointer+deleter and pointer+deleter+allocator cases in
 | 
						||
      C++11 mode, combining both into _Sp_counted_deleter and using
 | 
						||
      <code class="classname">allocator</code> when the user doesn't specify
 | 
						||
      an allocator.  If it was found to be beneficial an additional
 | 
						||
      class could easily be added.  With the current implementation,
 | 
						||
      the _Sp_counted_deleter and __shared_count constructors taking a
 | 
						||
      custom deleter but no allocator are technically redundant and
 | 
						||
      could be removed, changing callers to always specify an
 | 
						||
      allocator. If a separate pointer+deleter class was added the
 | 
						||
      __shared_count constructor would be needed, so it has been kept
 | 
						||
      for now.
 | 
						||
    </p><p>
 | 
						||
      The hack used to get the address of the managed object from
 | 
						||
      <code class="function">_Sp_counted_ptr_inplace::_M_get_deleter()</code>
 | 
						||
      is accessible to users. This could be prevented if
 | 
						||
      <code class="function">get_deleter<_Sp_make_shared_tag>()</code>
 | 
						||
      always returned NULL, since the hack only needs to work at a
 | 
						||
      lower level, not in the public API. This wouldn't be difficult,
 | 
						||
      but hasn't been done since there is no danger of accidental
 | 
						||
      misuse: users already know they are relying on unsupported
 | 
						||
      features if they refer to implementation details such as
 | 
						||
      _Sp_make_shared_tag.
 | 
						||
    </p><p>
 | 
						||
      tr1::_Sp_deleter could be a private member of tr1::__shared_count but it
 | 
						||
      would alter the ABI.
 | 
						||
    </p></div></div><div class="section" title="Acknowledgments"><div class="titlepage"><div><div><h4 class="title"><a id="shared_ptr.ack"/>Acknowledgments</h4></div></div></div><p>
 | 
						||
    The original authors of the Boost shared_ptr, which is really nice
 | 
						||
    code to work with, Peter Dimov in particular for his help and
 | 
						||
    invaluable advice on thread safety.  Phillip Jordan and Paolo
 | 
						||
    Carlini for the lock policy implementation.
 | 
						||
  </p></div><div class="bibliography" title="Bibliography"><div class="titlepage"><div><div><h4 class="title"><a id="shared_ptr.biblio"/>Bibliography</h4></div></div></div><div class="biblioentry" title="Improving shared_ptr for C++0x, Revision 2"><a id="id499429"/><p><span class="title"><em>
 | 
						||
	<a class="link" href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2351.htm">
 | 
						||
      Improving shared_ptr for C++0x, Revision 2
 | 
						||
	</a>
 | 
						||
      </em>. </span><span class="subtitle">
 | 
						||
      N2351
 | 
						||
    . </span></p></div><div class="biblioentry" title="C++ Standard Library Active Issues List"><a id="id499448"/><p><span class="title"><em>
 | 
						||
	<a class="link" href="http://open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2456.html">
 | 
						||
      C++ Standard Library Active Issues List
 | 
						||
	</a>
 | 
						||
      </em>. </span><span class="subtitle">
 | 
						||
      N2456
 | 
						||
    . </span></p></div><div class="biblioentry" title="Working Draft, Standard for Programming Language C++"><a id="id499467"/><p><span class="title"><em>
 | 
						||
	<a class="link" href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2007/n2461.pdf">
 | 
						||
      Working Draft, Standard for Programming Language C++
 | 
						||
	</a>
 | 
						||
      </em>. </span><span class="subtitle">
 | 
						||
      N2461
 | 
						||
    . </span></p></div><div class="biblioentry" title="Boost C++ Libraries documentation, shared_ptr"><a id="id499486"/><p><span class="title"><em>
 | 
						||
	<a class="link" href="http://boost.org/libs/smart_ptr/shared_ptr.htm">
 | 
						||
      Boost C++ Libraries documentation, shared_ptr
 | 
						||
	</a>
 | 
						||
      </em>. </span><span class="subtitle">
 | 
						||
      N2461
 | 
						||
    . </span></p></div></div></div></div><div class="navfooter"><hr/><table width="100%" summary="Navigation footer"><tr><td align="left"><a accesskey="p" href="pairs.html">Prev</a> </td><td align="center"><a accesskey="u" href="utilities.html">Up</a></td><td align="right"> <a accesskey="n" href="traits.html">Next</a></td></tr><tr><td align="left" valign="top">Pairs </td><td align="center"><a accesskey="h" href="../index.html">Home</a></td><td align="right" valign="top"> Traits</td></tr></table></div></body></html>
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