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HTML
312 lines
17 KiB
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<?xml version="1.0" encoding="utf-8" ?>
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
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<head>
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<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
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<meta name="generator" content="Docutils 0.5: http://docutils.sourceforge.net/" />
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<title>Permutation Iterator</title>
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<meta name="author" content="Toon Knapen, David Abrahams, Roland Richter, Jeremy Siek" />
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<meta name="organization" content="Boost Consulting, Indiana University Open Systems Lab" />
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<meta name="date" content="2006-09-11" />
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<meta name="copyright" content="Copyright Toon Knapen, David Abrahams, Roland Richter, and Jeremy Siek 2003." />
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<link rel="stylesheet" href="../../../rst.css" type="text/css" />
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</head>
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<body>
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<div class="document" id="permutation-iterator">
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<h1 class="title">Permutation Iterator</h1>
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<table class="docinfo" frame="void" rules="none">
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<col class="docinfo-name" />
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<col class="docinfo-content" />
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<tbody valign="top">
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<tr><th class="docinfo-name">Author:</th>
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<td>Toon Knapen, David Abrahams, Roland Richter, Jeremy Siek</td></tr>
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<tr><th class="docinfo-name">Contact:</th>
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<td><a class="first reference external" href="mailto:dave@boost-consulting.com">dave@boost-consulting.com</a>, <a class="last reference external" href="mailto:jsiek@osl.iu.edu">jsiek@osl.iu.edu</a></td></tr>
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<tr><th class="docinfo-name">Organization:</th>
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<td><a class="first reference external" href="http://www.boost-consulting.com">Boost Consulting</a>, Indiana University <a class="last reference external" href="http://www.osl.iu.edu">Open Systems
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Lab</a></td></tr>
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<tr><th class="docinfo-name">Date:</th>
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<td>2006-09-11</td></tr>
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<tr><th class="docinfo-name">Copyright:</th>
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<td>Copyright Toon Knapen, David Abrahams, Roland Richter, and Jeremy Siek 2003.</td></tr>
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</tbody>
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</table>
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<!-- Distributed under the Boost -->
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<!-- Software License, Version 1.0. (See accompanying -->
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<!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
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<table class="docutils field-list" frame="void" rules="none">
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<col class="field-name" />
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<col class="field-body" />
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<tbody valign="top">
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<tr class="field"><th class="field-name">abstract:</th><td class="field-body"><!-- Copyright David Abrahams 2006. Distributed under the Boost -->
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<!-- Software License, Version 1.0. (See accompanying -->
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<!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
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The permutation iterator adaptor provides a permuted view of a given
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range. That is, the view includes every element of the given range but
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in a potentially different order.</td>
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</tr>
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</tbody>
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</table>
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<div class="contents topic" id="table-of-contents">
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<p class="topic-title first">Table of Contents</p>
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<ul class="simple">
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<li><a class="reference internal" href="#introduction" id="id2">Introduction</a></li>
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<li><a class="reference internal" href="#reference" id="id3">Reference</a><ul>
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<li><a class="reference internal" href="#permutation-iterator-requirements" id="id4"><tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> requirements</a></li>
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<li><a class="reference internal" href="#permutation-iterator-models" id="id5"><tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models</a></li>
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<li><a class="reference internal" href="#permutation-iterator-operations" id="id6"><tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> operations</a></li>
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</ul>
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</li>
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<li><a class="reference internal" href="#example" id="id7">Example</a></li>
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</ul>
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</div>
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<div class="section" id="introduction">
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<h1><a class="toc-backref" href="#id2">Introduction</a></h1>
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<!-- Copyright David Abrahams 2006. Distributed under the Boost -->
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<!-- Software License, Version 1.0. (See accompanying -->
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<!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
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<p>The adaptor takes two arguments:</p>
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<blockquote>
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<ul class="simple">
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<li>an iterator to the range V on which the permutation
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will be applied</li>
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<li>the reindexing scheme that defines how the
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elements of V will be permuted.</li>
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</ul>
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</blockquote>
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<p>Note that the permutation iterator is not limited to strict
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permutations of the given range V. The distance between begin and end
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of the reindexing iterators is allowed to be smaller compared to the
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size of the range V, in which case the permutation iterator only
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provides a permutation of a subrange of V. The indexes neither need
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to be unique. In this same context, it must be noted that the past the
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end permutation iterator is completely defined by means of the
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past-the-end iterator to the indices.</p>
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</div>
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<div class="section" id="reference">
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<h1><a class="toc-backref" href="#id3">Reference</a></h1>
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<!-- Copyright David Abrahams 2006. Distributed under the Boost -->
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<!-- Software License, Version 1.0. (See accompanying -->
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<!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
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<pre class="literal-block">
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template< class ElementIterator
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, class IndexIterator
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, class ValueT = use_default
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, class CategoryT = use_default
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, class ReferenceT = use_default
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, class DifferenceT = use_default >
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class permutation_iterator
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{
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public:
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permutation_iterator();
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explicit permutation_iterator(ElementIterator x, IndexIterator y);
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template< class OEIter, class OIIter, class V, class C, class R, class D >
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permutation_iterator(
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permutation_iterator<OEIter, OIIter, V, C, R, D> const& r
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, typename enable_if_convertible<OEIter, ElementIterator>::type* = 0
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, typename enable_if_convertible<OIIter, IndexIterator>::type* = 0
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);
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reference operator*() const;
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permutation_iterator& operator++();
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ElementIterator const& base() const;
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private:
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ElementIterator m_elt; // exposition only
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IndexIterator m_order; // exposition only
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};
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template <class ElementIterator, class IndexIterator>
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permutation_iterator<ElementIterator, IndexIterator>
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make_permutation_iterator( ElementIterator e, IndexIterator i);
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</pre>
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<div class="section" id="permutation-iterator-requirements">
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<h2><a class="toc-backref" href="#id4"><tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> requirements</a></h2>
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<p><tt class="docutils literal"><span class="pre">ElementIterator</span></tt> shall model Random Access Traversal Iterator.
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<tt class="docutils literal"><span class="pre">IndexIterator</span></tt> shall model Readable Iterator. The value type of
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the <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> must be convertible to the difference type of
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<tt class="docutils literal"><span class="pre">ElementIterator</span></tt>.</p>
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</div>
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<div class="section" id="permutation-iterator-models">
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<h2><a class="toc-backref" href="#id5"><tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models</a></h2>
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<p><tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models the same iterator traversal concepts
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as <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> and the same iterator access concepts as
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<tt class="docutils literal"><span class="pre">ElementIterator</span></tt>.</p>
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<p>If <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> models Single Pass Iterator and
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<tt class="docutils literal"><span class="pre">ElementIterator</span></tt> models Readable Iterator then
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<tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models Input Iterator.</p>
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<p>If <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> models Forward Traversal Iterator and
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<tt class="docutils literal"><span class="pre">ElementIterator</span></tt> models Readable Lvalue Iterator then
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<tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models Forward Iterator.</p>
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<p>If <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> models Bidirectional Traversal Iterator and
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<tt class="docutils literal"><span class="pre">ElementIterator</span></tt> models Readable Lvalue Iterator then
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<tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models Bidirectional Iterator.</p>
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<p>If <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> models Random Access Traversal Iterator and
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<tt class="docutils literal"><span class="pre">ElementIterator</span></tt> models Readable Lvalue Iterator then
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<tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models Random Access Iterator.</p>
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<p><tt class="docutils literal"><span class="pre">permutation_iterator<E1,</span> <span class="pre">X,</span> <span class="pre">V1,</span> <span class="pre">C2,</span> <span class="pre">R1,</span> <span class="pre">D1></span></tt> is interoperable
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with <tt class="docutils literal"><span class="pre">permutation_iterator<E2,</span> <span class="pre">Y,</span> <span class="pre">V2,</span> <span class="pre">C2,</span> <span class="pre">R2,</span> <span class="pre">D2></span></tt> if and only if
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<tt class="docutils literal"><span class="pre">X</span></tt> is interoperable with <tt class="docutils literal"><span class="pre">Y</span></tt> and <tt class="docutils literal"><span class="pre">E1</span></tt> is convertible
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to <tt class="docutils literal"><span class="pre">E2</span></tt>.</p>
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</div>
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<div class="section" id="permutation-iterator-operations">
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<h2><a class="toc-backref" href="#id6"><tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> operations</a></h2>
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<p>In addition to those operations required by the concepts that
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<tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models, <tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> provides the
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following operations.</p>
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<p><tt class="docutils literal"><span class="pre">permutation_iterator();</span></tt></p>
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<table class="docutils field-list" frame="void" rules="none">
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<col class="field-name" />
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<col class="field-body" />
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<tbody valign="top">
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<tr class="field"><th class="field-name">Effects:</th><td class="field-body">Default constructs <tt class="docutils literal"><span class="pre">m_elt</span></tt> and <tt class="docutils literal"><span class="pre">m_order</span></tt>.</td>
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</tr>
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</tbody>
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</table>
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<p><tt class="docutils literal"><span class="pre">explicit</span> <span class="pre">permutation_iterator(ElementIterator</span> <span class="pre">x,</span> <span class="pre">IndexIterator</span> <span class="pre">y);</span></tt></p>
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<table class="docutils field-list" frame="void" rules="none">
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<col class="field-name" />
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<col class="field-body" />
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<tbody valign="top">
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<tr class="field"><th class="field-name">Effects:</th><td class="field-body">Constructs <tt class="docutils literal"><span class="pre">m_elt</span></tt> from <tt class="docutils literal"><span class="pre">x</span></tt> and <tt class="docutils literal"><span class="pre">m_order</span></tt> from <tt class="docutils literal"><span class="pre">y</span></tt>.</td>
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</tr>
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</tbody>
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</table>
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<pre class="literal-block">
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template< class OEIter, class OIIter, class V, class C, class R, class D >
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permutation_iterator(
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permutation_iterator<OEIter, OIIter, V, C, R, D> const& r
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, typename enable_if_convertible<OEIter, ElementIterator>::type* = 0
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, typename enable_if_convertible<OIIter, IndexIterator>::type* = 0
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);
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</pre>
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<table class="docutils field-list" frame="void" rules="none">
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<col class="field-name" />
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<col class="field-body" />
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<tbody valign="top">
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<tr class="field"><th class="field-name">Effects:</th><td class="field-body">Constructs <tt class="docutils literal"><span class="pre">m_elt</span></tt> from <tt class="docutils literal"><span class="pre">r.m_elt</span></tt> and
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<tt class="docutils literal"><span class="pre">m_order</span></tt> from <tt class="docutils literal"><span class="pre">y.m_order</span></tt>.</td>
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</tr>
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</tbody>
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</table>
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<p><tt class="docutils literal"><span class="pre">reference</span> <span class="pre">operator*()</span> <span class="pre">const;</span></tt></p>
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<table class="docutils field-list" frame="void" rules="none">
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<col class="field-name" />
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<col class="field-body" />
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<tbody valign="top">
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<tr class="field"><th class="field-name">Returns:</th><td class="field-body"><tt class="docutils literal"><span class="pre">*(m_elt</span> <span class="pre">+</span> <span class="pre">*m_order)</span></tt></td>
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</tr>
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</tbody>
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</table>
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<p><tt class="docutils literal"><span class="pre">permutation_iterator&</span> <span class="pre">operator++();</span></tt></p>
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<table class="docutils field-list" frame="void" rules="none">
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<col class="field-name" />
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<col class="field-body" />
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<tbody valign="top">
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<tr class="field"><th class="field-name">Effects:</th><td class="field-body"><tt class="docutils literal"><span class="pre">++m_order</span></tt></td>
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</tr>
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<tr class="field"><th class="field-name">Returns:</th><td class="field-body"><tt class="docutils literal"><span class="pre">*this</span></tt></td>
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</tr>
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</tbody>
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</table>
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<p><tt class="docutils literal"><span class="pre">ElementIterator</span> <span class="pre">const&</span> <span class="pre">base()</span> <span class="pre">const;</span></tt></p>
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<table class="docutils field-list" frame="void" rules="none">
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<col class="field-name" />
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<col class="field-body" />
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<tbody valign="top">
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<tr class="field"><th class="field-name">Returns:</th><td class="field-body"><tt class="docutils literal"><span class="pre">m_order</span></tt></td>
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</tr>
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</tbody>
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</table>
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<pre class="literal-block">
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template <class ElementIterator, class IndexIterator>
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permutation_iterator<ElementIterator, IndexIterator>
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make_permutation_iterator(ElementIterator e, IndexIterator i);
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</pre>
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<table class="docutils field-list" frame="void" rules="none">
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<col class="field-name" />
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<col class="field-body" />
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<tbody valign="top">
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<tr class="field"><th class="field-name">Returns:</th><td class="field-body"><tt class="docutils literal"><span class="pre">permutation_iterator<ElementIterator,</span> <span class="pre">IndexIterator>(e,</span> <span class="pre">i)</span></tt></td>
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</tr>
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</tbody>
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</table>
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</div>
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</div>
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<div class="section" id="example">
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<h1><a class="toc-backref" href="#id7">Example</a></h1>
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<!-- Copyright David Abrahams 2006. Distributed under the Boost -->
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<!-- Software License, Version 1.0. (See accompanying -->
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<!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) -->
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<pre class="literal-block">
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using namespace boost;
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int i = 0;
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typedef std::vector< int > element_range_type;
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typedef std::list< int > index_type;
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static const int element_range_size = 10;
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static const int index_size = 4;
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element_range_type elements( element_range_size );
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for(element_range_type::iterator el_it = elements.begin() ; el_it != elements.end() ; ++el_it)
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*el_it = std::distance(elements.begin(), el_it);
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index_type indices( index_size );
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for(index_type::iterator i_it = indices.begin() ; i_it != indices.end() ; ++i_it )
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*i_it = element_range_size - index_size + std::distance(indices.begin(), i_it);
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std::reverse( indices.begin(), indices.end() );
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typedef permutation_iterator< element_range_type::iterator, index_type::iterator > permutation_type;
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permutation_type begin = make_permutation_iterator( elements.begin(), indices.begin() );
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permutation_type it = begin;
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permutation_type end = make_permutation_iterator( elements.begin(), indices.end() );
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std::cout << "The original range is : ";
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std::copy( elements.begin(), elements.end(), std::ostream_iterator< int >( std::cout, " " ) );
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std::cout << "\n";
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std::cout << "The reindexing scheme is : ";
|
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std::copy( indices.begin(), indices.end(), std::ostream_iterator< int >( std::cout, " " ) );
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std::cout << "\n";
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std::cout << "The permutated range is : ";
|
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std::copy( begin, end, std::ostream_iterator< int >( std::cout, " " ) );
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std::cout << "\n";
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|
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|
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std::cout << "Elements at even indices in the permutation : ";
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||
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it = begin;
|
||
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for(i = 0; i < index_size / 2 ; ++i, it+=2 ) std::cout << *it << " ";
|
||
|
|
std::cout << "\n";
|
||
|
|
|
||
|
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std::cout << "Permutation backwards : ";
|
||
|
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it = begin + (index_size);
|
||
|
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assert( it != begin );
|
||
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for( ; it-- != begin ; ) std::cout << *it << " ";
|
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std::cout << "\n";
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||
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||
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std::cout << "Iterate backward with stride 2 : ";
|
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it = begin + (index_size - 1);
|
||
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for(i = 0 ; i < index_size / 2 ; ++i, it-=2 ) std::cout << *it << " ";
|
||
|
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std::cout << "\n";
|
||
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</pre>
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<p>The output is:</p>
|
||
|
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<pre class="literal-block">
|
||
|
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The original range is : 0 1 2 3 4 5 6 7 8 9
|
||
|
|
The reindexing scheme is : 9 8 7 6
|
||
|
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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
|
||
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</pre>
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||
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<p>The source code for this example can be found <a class="reference external" href="../example/permutation_iter_example.cpp">here</a>.</p>
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</div>
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</div>
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<div class="footer">
|
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<hr class="footer" />
|
||
|
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<a class="reference external" href="permutation_iterator.rst">View document source</a>.
|
||
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Generated by <a class="reference external" href="http://docutils.sourceforge.net/">Docutils</a> from <a class="reference external" href="http://docutils.sourceforge.net/rst.html">reStructuredText</a> source.
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</div>
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</body>
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</html>
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