iterator/doc/permutation_iterator.html
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<title>Permutation Iterator</title>
<meta name="author" content="Toon Knapen, David Abrahams, Roland Richter, Jeremy Siek" />
<meta name="organization" content="Boost Consulting, Indiana University Open Systems Lab" />
<meta name="date" content="2004-01-12" />
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<div class="document" id="permutation-iterator">
<h1 class="title">Permutation Iterator</h1>
<table class="docinfo" frame="void" rules="none">
<col class="docinfo-name" />
<col class="docinfo-content" />
<tbody valign="top">
<tr><th class="docinfo-name">Author:</th>
<td>Toon Knapen, David Abrahams, Roland Richter, Jeremy Siek</td></tr>
<tr><th class="docinfo-name">Contact:</th>
<td><a class="first reference" href="mailto:dave&#64;boost-consulting.com">dave&#64;boost-consulting.com</a>, <a class="last reference" href="mailto:jsiek&#64;osl.iu.edu">jsiek&#64;osl.iu.edu</a></td></tr>
<tr><th class="docinfo-name">Organization:</th>
<td><a class="first reference" href="http://www.boost-consulting.com">Boost Consulting</a>, Indiana University <a class="last reference" href="http://www.osl.iu.edu">Open Systems
Lab</a></td></tr>
<tr><th class="docinfo-name">Date:</th>
<td>2004-01-12</td></tr>
<tr><th class="docinfo-name">Copyright:</th>
<td>Copyright Toon Knapen, David Abrahams, Roland Richter, and Jeremy Siek 2003. All rights reserved</td></tr>
</tbody>
</table>
<table class="field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field"><th class="field-name">abstract:</th><td class="field-body"></td>
</tr>
</tbody>
</table>
<p>The permutation iterator adaptor provides a permuted view of a given
range. That is, the view includes every element of the given range but
in a potentially different order.</p>
<div class="contents topic" id="table-of-contents">
<p class="topic-title"><a name="table-of-contents">Table of Contents</a></p>
<ul class="simple">
<li><a class="reference" href="#introduction" id="id4" name="id4">Introduction</a></li>
<li><a class="reference" href="#reference" id="id5" name="id5">Reference</a><ul>
<li><a class="reference" href="#permutation-iterator-requirements" id="id6" name="id6"><tt class="literal"><span class="pre">permutation_iterator</span></tt> requirements</a></li>
<li><a class="reference" href="#permutation-iterator-operations" id="id7" name="id7"><tt class="literal"><span class="pre">permutation_iterator</span></tt> operations</a></li>
</ul>
</li>
<li><a class="reference" href="#example" id="id8" name="id8">Example</a></li>
</ul>
</div>
<div class="section" id="introduction">
<h1><a class="toc-backref" href="#id4" name="introduction">Introduction</a></h1>
<p>The adaptor takes two arguments:</p>
<blockquote>
<ul class="simple">
<li>an iterator to the range V on which the permutation
will be applied</li>
<li>the reindexing scheme that defines how the
elements of V will be permuted.</li>
</ul>
</blockquote>
<p>Note that the permutation iterator is not limited to strict
permutations of the given range V. The distance between begin and end
of the reindexing iterators is allowed to be smaller compared to the
size of the range V, in which case the permutation iterator only
provides a permutation of a subrange of V. The indexes neither need
to be unique. In this same context, it must be noted that the past the
end permutation iterator is completely defined by means of the
past-the-end iterator to the indices.</p>
</div>
<div class="section" id="reference">
<h1><a class="toc-backref" href="#id5" name="reference">Reference</a></h1>
<pre class="literal-block">
template&lt; class ElementIterator
, class IndexIterator
, class ValueT = use_default
, class CategoryT = use_default
, class ReferenceT = use_default
, class DifferenceT = use_default &gt;
class permutation_iterator
{
public:
permutation_iterator();
explicit permutation_iterator(ElementIterator x, IndexIterator y);
template&lt; class OEIter, class OIIter, class V, class C, class R, class D &gt;
permutation_iterator(
permutation_iterator&lt;OEIter, OIIter, V, C, R, D&gt; const&amp; r
, typename enable_if_convertible&lt;OEIter, ElementIterator&gt;::type* = 0
, typename enable_if_convertible&lt;OIIter, IndexIterator&gt;::type* = 0
);
ElementIterator base() const;
private:
ElementIterator m_iterator; // exposition
};
template &lt;class ElementIterator, class IndexIterator&gt;
permutation_iterator&lt;ElementIterator, IndexIterator&gt;
make_permutation_iterator( ElementIterator e, IndexIterator i);
</pre>
<div class="section" id="permutation-iterator-requirements">
<h2><a class="toc-backref" href="#id6" name="permutation-iterator-requirements"><tt class="literal"><span class="pre">permutation_iterator</span></tt> requirements</a></h2>
<p><tt class="literal"><span class="pre">ElementIterator</span></tt> must be a model of <a class="reference" href="http://www.sgi.com/tech/stl/RandomAccessIterator.html">RandomAccessIterator</a>.
<tt class="literal"><span class="pre">IndexIterator</span></tt> must at least be a model <a class="reference" href="http://www.sgi.com/tech/stl/ForwardIterator.html">ForwardIterator</a>. The
value type of the <tt class="literal"><span class="pre">IndexIterator</span></tt> must be convertible to the
difference type of <tt class="literal"><span class="pre">ElementIterator</span></tt>.</p>
</div>
<div class="section" id="permutation-iterator-operations">
<h2><a class="toc-backref" href="#id7" name="permutation-iterator-operations"><tt class="literal"><span class="pre">permutation_iterator</span></tt> operations</a></h2>
<p>The permutation iterator implements the member functions and operators
required for the <a class="reference" href="http://www.sgi.com/tech/stl/RandomAccessIterator.html">Random Access Iterator</a> concept. However, the
permutation iterator can only meet the complexity guarantees of the
same concept as the IndexIterator. Thus for instance, although the
permutation iterator provides <tt class="literal"><span class="pre">operator+=(distance)</span></tt>, this operation
will take linear time in case the IndexIterator is a model of
ForwardIterator instead of amortized constant time.</p>
<pre class="literal-block">
template &lt;class ElementIterator, class IndexIterator&gt;
permutation_iterator&lt;ElementIterator, IndexIterator&gt;
make_permutation_iterator(ElementIterator e, IndexIterator i);
</pre>
<table class="field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field"><th class="field-name">Returns:</th><td class="field-body">An instance of <tt class="literal"><span class="pre">permutation_iterator&lt;ElementIterator,</span> <span class="pre">IndexIterator&gt;</span></tt>
that views the range of elements starting at <tt class="literal"><span class="pre">e`</span> <span class="pre">in</span> <span class="pre">the</span> <span class="pre">order</span> <span class="pre">given</span>
<span class="pre">by</span> <span class="pre">``i</span></tt>.</td>
</tr>
</tbody>
</table>
<p><tt class="literal"><span class="pre">ElementIterator</span> <span class="pre">base()</span> <span class="pre">const;</span></tt></p>
<table class="field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field"><th class="field-name">Returns:</th><td class="field-body"><tt class="literal"><span class="pre">m_iterator</span></tt></td>
</tr>
</tbody>
</table>
</div>
</div>
<div class="section" id="example">
<h1><a class="toc-backref" href="#id8" name="example">Example</a></h1>
<pre class="literal-block">
using namespace boost;
int i = 0;
typedef std::vector&lt; int &gt; element_range_type;
typedef std::list&lt; int &gt; index_type;
static const int element_range_size = 10;
static const int index_size = 4;
element_range_type elements( element_range_size );
for(element_range_type::iterator el_it = elements.begin() ; el_it != elements.end() ; ++el_it)
*el_it = std::distance(elements.begin(), el_it);
index_type indices( index_size );
for(index_type::iterator i_it = indices.begin() ; i_it != indices.end() ; ++i_it )
*i_it = element_range_size - index_size + std::distance(indices.begin(), i_it);
std::reverse( indices.begin(), indices.end() );
typedef permutation_iterator&lt; element_range_type::iterator, index_type::iterator &gt; permutation_type;
permutation_type begin = make_permutation_iterator( elements.begin(), indices.begin() );
permutation_type it = begin;
permutation_type end = make_permutation_iterator( elements.begin(), indices.end() );
std::cout &lt;&lt; &quot;The original range is : &quot;;
std::copy( elements.begin(), elements.end(), std::ostream_iterator&lt; int &gt;( std::cout, &quot; &quot; ) );
std::cout &lt;&lt; &quot;\n&quot;;
std::cout &lt;&lt; &quot;The reindexing scheme is : &quot;;
std::copy( indices.begin(), indices.end(), std::ostream_iterator&lt; int &gt;( std::cout, &quot; &quot; ) );
std::cout &lt;&lt; &quot;\n&quot;;
std::cout &lt;&lt; &quot;The permutated range is : &quot;;
std::copy( begin, end, std::ostream_iterator&lt; int &gt;( std::cout, &quot; &quot; ) );
std::cout &lt;&lt; &quot;\n&quot;;
std::cout &lt;&lt; &quot;Elements at even indices in the permutation : &quot;;
it = begin;
for(i = 0; i &lt; index_size / 2 ; ++i, it+=2 ) std::cout &lt;&lt; *it &lt;&lt; &quot; &quot;;
std::cout &lt;&lt; &quot;\n&quot;;
std::cout &lt;&lt; &quot;Permutation backwards : &quot;;
it = begin + (index_size);
assert( it != begin );
for( ; it-- != begin ; ) std::cout &lt;&lt; *it &lt;&lt; &quot; &quot;;
std::cout &lt;&lt; &quot;\n&quot;;
std::cout &lt;&lt; &quot;Iterate backward with stride 2 : &quot;;
it = begin + (index_size - 1);
for(i = 0 ; i &lt; index_size / 2 ; ++i, it-=2 ) std::cout &lt;&lt; *it &lt;&lt; &quot; &quot;;
std::cout &lt;&lt; &quot;\n&quot;;
</pre>
<p>The output is:</p>
<pre class="literal-block">
The original range is : 0 1 2 3 4 5 6 7 8 9
The reindexing scheme is : 9 8 7 6
The permutated range is : 9 8 7 6
Elements at even indices in the permutation : 9 7
Permutation backwards : 6 7 8 9
Iterate backward with stride 2 : 6 8
</pre>
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