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7 | <title>Permutation Iterator</title> | |
8 | <meta name="author" content="Toon Knapen, David Abrahams, Roland Richter, Jeremy Siek" /> | |
9 | <meta name="organization" content="Boost Consulting, Indiana University Open Systems Lab" /> | |
10 | <meta name="date" content="2006-09-11" /> | |
11 | <meta name="copyright" content="Copyright Toon Knapen, David Abrahams, Roland Richter, and Jeremy Siek 2003." /> | |
12 | <link rel="stylesheet" href="../../../rst.css" type="text/css" /> | |
13 | </head> | |
14 | <body> | |
15 | <div class="document" id="permutation-iterator"> | |
16 | <h1 class="title">Permutation Iterator</h1> | |
17 | <table class="docinfo" frame="void" rules="none"> | |
18 | <col class="docinfo-name" /> | |
19 | <col class="docinfo-content" /> | |
20 | <tbody valign="top"> | |
21 | <tr><th class="docinfo-name">Author:</th> | |
22 | <td>Toon Knapen, David Abrahams, Roland Richter, Jeremy Siek</td></tr> | |
23 | <tr><th class="docinfo-name">Contact:</th> | |
24 | <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> | |
25 | <tr><th class="docinfo-name">Organization:</th> | |
26 | <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 | |
27 | Lab</a></td></tr> | |
28 | <tr><th class="docinfo-name">Date:</th> | |
29 | <td>2006-09-11</td></tr> | |
30 | <tr><th class="docinfo-name">Copyright:</th> | |
31 | <td>Copyright Toon Knapen, David Abrahams, Roland Richter, and Jeremy Siek 2003.</td></tr> | |
32 | </tbody> | |
33 | </table> | |
34 | <!-- Distributed under the Boost --> | |
35 | <!-- Software License, Version 1.0. (See accompanying --> | |
36 | <!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) --> | |
37 | <table class="docutils field-list" frame="void" rules="none"> | |
38 | <col class="field-name" /> | |
39 | <col class="field-body" /> | |
40 | <tbody valign="top"> | |
41 | <tr class="field"><th class="field-name">abstract:</th><td class="field-body"><!-- Copyright David Abrahams 2006. Distributed under the Boost --> | |
42 | <!-- Software License, Version 1.0. (See accompanying --> | |
43 | <!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) --> | |
44 | The permutation iterator adaptor provides a permuted view of a given | |
45 | range. That is, the view includes every element of the given range but | |
46 | in a potentially different order.</td> | |
47 | </tr> | |
48 | </tbody> | |
49 | </table> | |
50 | <div class="contents topic" id="table-of-contents"> | |
51 | <p class="topic-title first">Table of Contents</p> | |
52 | <ul class="simple"> | |
53 | <li><a class="reference internal" href="#introduction" id="id2">Introduction</a></li> | |
54 | <li><a class="reference internal" href="#reference" id="id3">Reference</a><ul> | |
55 | <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> | |
56 | <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> | |
57 | <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> | |
58 | </ul> | |
59 | </li> | |
60 | <li><a class="reference internal" href="#example" id="id7">Example</a></li> | |
61 | </ul> | |
62 | </div> | |
63 | <div class="section" id="introduction"> | |
64 | <h1><a class="toc-backref" href="#id2">Introduction</a></h1> | |
65 | <!-- Copyright David Abrahams 2006. Distributed under the Boost --> | |
66 | <!-- Software License, Version 1.0. (See accompanying --> | |
67 | <!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) --> | |
68 | <p>The adaptor takes two arguments:</p> | |
69 | <blockquote> | |
70 | <ul class="simple"> | |
71 | <li>an iterator to the range V on which the permutation | |
72 | will be applied</li> | |
73 | <li>the reindexing scheme that defines how the | |
74 | elements of V will be permuted.</li> | |
75 | </ul> | |
76 | </blockquote> | |
77 | <p>Note that the permutation iterator is not limited to strict | |
78 | permutations of the given range V. The distance between begin and end | |
79 | of the reindexing iterators is allowed to be smaller compared to the | |
80 | size of the range V, in which case the permutation iterator only | |
81 | provides a permutation of a subrange of V. The indexes neither need | |
82 | to be unique. In this same context, it must be noted that the past the | |
83 | end permutation iterator is completely defined by means of the | |
84 | past-the-end iterator to the indices.</p> | |
85 | </div> | |
86 | <div class="section" id="reference"> | |
87 | <h1><a class="toc-backref" href="#id3">Reference</a></h1> | |
88 | <!-- Copyright David Abrahams 2006. Distributed under the Boost --> | |
89 | <!-- Software License, Version 1.0. (See accompanying --> | |
90 | <!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) --> | |
91 | <pre class="literal-block"> | |
92 | template< class ElementIterator | |
93 | , class IndexIterator | |
94 | , class ValueT = use_default | |
95 | , class CategoryT = use_default | |
96 | , class ReferenceT = use_default | |
97 | , class DifferenceT = use_default > | |
98 | class permutation_iterator | |
99 | { | |
100 | public: | |
101 | permutation_iterator(); | |
102 | explicit permutation_iterator(ElementIterator x, IndexIterator y); | |
103 | ||
104 | template< class OEIter, class OIIter, class V, class C, class R, class D > | |
105 | permutation_iterator( | |
106 | permutation_iterator<OEIter, OIIter, V, C, R, D> const& r | |
107 | , typename enable_if_convertible<OEIter, ElementIterator>::type* = 0 | |
108 | , typename enable_if_convertible<OIIter, IndexIterator>::type* = 0 | |
109 | ); | |
110 | reference operator*() const; | |
111 | permutation_iterator& operator++(); | |
112 | ElementIterator const& base() const; | |
113 | private: | |
114 | ElementIterator m_elt; // exposition only | |
115 | IndexIterator m_order; // exposition only | |
116 | }; | |
117 | ||
118 | template <class ElementIterator, class IndexIterator> | |
119 | permutation_iterator<ElementIterator, IndexIterator> | |
120 | make_permutation_iterator( ElementIterator e, IndexIterator i); | |
121 | </pre> | |
122 | <div class="section" id="permutation-iterator-requirements"> | |
123 | <h2><a class="toc-backref" href="#id4"><tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> requirements</a></h2> | |
124 | <p><tt class="docutils literal"><span class="pre">ElementIterator</span></tt> shall model Random Access Traversal Iterator. | |
125 | <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> shall model Readable Iterator. The value type of | |
126 | the <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> must be convertible to the difference type of | |
127 | <tt class="docutils literal"><span class="pre">ElementIterator</span></tt>.</p> | |
128 | </div> | |
129 | <div class="section" id="permutation-iterator-models"> | |
130 | <h2><a class="toc-backref" href="#id5"><tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models</a></h2> | |
131 | <p><tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models the same iterator traversal concepts | |
132 | as <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> and the same iterator access concepts as | |
133 | <tt class="docutils literal"><span class="pre">ElementIterator</span></tt>.</p> | |
134 | <p>If <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> models Single Pass Iterator and | |
135 | <tt class="docutils literal"><span class="pre">ElementIterator</span></tt> models Readable Iterator then | |
136 | <tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models Input Iterator.</p> | |
137 | <p>If <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> models Forward Traversal Iterator and | |
138 | <tt class="docutils literal"><span class="pre">ElementIterator</span></tt> models Readable Lvalue Iterator then | |
139 | <tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models Forward Iterator.</p> | |
140 | <p>If <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> models Bidirectional Traversal Iterator and | |
141 | <tt class="docutils literal"><span class="pre">ElementIterator</span></tt> models Readable Lvalue Iterator then | |
142 | <tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models Bidirectional Iterator.</p> | |
143 | <p>If <tt class="docutils literal"><span class="pre">IndexIterator</span></tt> models Random Access Traversal Iterator and | |
144 | <tt class="docutils literal"><span class="pre">ElementIterator</span></tt> models Readable Lvalue Iterator then | |
145 | <tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> models Random Access Iterator.</p> | |
146 | <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 | |
147 | 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 | |
148 | <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 | |
149 | to <tt class="docutils literal"><span class="pre">E2</span></tt>.</p> | |
150 | </div> | |
151 | <div class="section" id="permutation-iterator-operations"> | |
152 | <h2><a class="toc-backref" href="#id6"><tt class="docutils literal"><span class="pre">permutation_iterator</span></tt> operations</a></h2> | |
153 | <p>In addition to those operations required by the concepts that | |
154 | <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 | |
155 | following operations.</p> | |
156 | <p><tt class="docutils literal"><span class="pre">permutation_iterator();</span></tt></p> | |
157 | <table class="docutils field-list" frame="void" rules="none"> | |
158 | <col class="field-name" /> | |
159 | <col class="field-body" /> | |
160 | <tbody valign="top"> | |
161 | <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> | |
162 | </tr> | |
163 | </tbody> | |
164 | </table> | |
165 | <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> | |
166 | <table class="docutils field-list" frame="void" rules="none"> | |
167 | <col class="field-name" /> | |
168 | <col class="field-body" /> | |
169 | <tbody valign="top"> | |
170 | <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> | |
171 | </tr> | |
172 | </tbody> | |
173 | </table> | |
174 | <pre class="literal-block"> | |
175 | template< class OEIter, class OIIter, class V, class C, class R, class D > | |
176 | permutation_iterator( | |
177 | permutation_iterator<OEIter, OIIter, V, C, R, D> const& r | |
178 | , typename enable_if_convertible<OEIter, ElementIterator>::type* = 0 | |
179 | , typename enable_if_convertible<OIIter, IndexIterator>::type* = 0 | |
180 | ); | |
181 | </pre> | |
182 | <table class="docutils field-list" frame="void" rules="none"> | |
183 | <col class="field-name" /> | |
184 | <col class="field-body" /> | |
185 | <tbody valign="top"> | |
186 | <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 | |
187 | <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> | |
188 | </tr> | |
189 | </tbody> | |
190 | </table> | |
191 | <p><tt class="docutils literal"><span class="pre">reference</span> <span class="pre">operator*()</span> <span class="pre">const;</span></tt></p> | |
192 | <table class="docutils field-list" frame="void" rules="none"> | |
193 | <col class="field-name" /> | |
194 | <col class="field-body" /> | |
195 | <tbody valign="top"> | |
196 | <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> | |
197 | </tr> | |
198 | </tbody> | |
199 | </table> | |
200 | <p><tt class="docutils literal"><span class="pre">permutation_iterator&</span> <span class="pre">operator++();</span></tt></p> | |
201 | <table class="docutils field-list" frame="void" rules="none"> | |
202 | <col class="field-name" /> | |
203 | <col class="field-body" /> | |
204 | <tbody valign="top"> | |
205 | <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> | |
206 | </tr> | |
207 | <tr class="field"><th class="field-name">Returns:</th><td class="field-body"><tt class="docutils literal"><span class="pre">*this</span></tt></td> | |
208 | </tr> | |
209 | </tbody> | |
210 | </table> | |
211 | <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> | |
212 | <table class="docutils field-list" frame="void" rules="none"> | |
213 | <col class="field-name" /> | |
214 | <col class="field-body" /> | |
215 | <tbody valign="top"> | |
216 | <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> | |
217 | </tr> | |
218 | </tbody> | |
219 | </table> | |
220 | <pre class="literal-block"> | |
221 | template <class ElementIterator, class IndexIterator> | |
222 | permutation_iterator<ElementIterator, IndexIterator> | |
223 | make_permutation_iterator(ElementIterator e, IndexIterator i); | |
224 | </pre> | |
225 | <table class="docutils field-list" frame="void" rules="none"> | |
226 | <col class="field-name" /> | |
227 | <col class="field-body" /> | |
228 | <tbody valign="top"> | |
229 | <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> | |
230 | </tr> | |
231 | </tbody> | |
232 | </table> | |
233 | </div> | |
234 | </div> | |
235 | <div class="section" id="example"> | |
236 | <h1><a class="toc-backref" href="#id7">Example</a></h1> | |
237 | <!-- Copyright David Abrahams 2006. Distributed under the Boost --> | |
238 | <!-- Software License, Version 1.0. (See accompanying --> | |
239 | <!-- file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) --> | |
240 | <pre class="literal-block"> | |
241 | using namespace boost; | |
242 | int i = 0; | |
243 | ||
244 | typedef std::vector< int > element_range_type; | |
245 | typedef std::list< int > index_type; | |
246 | ||
247 | static const int element_range_size = 10; | |
248 | static const int index_size = 4; | |
249 | ||
250 | element_range_type elements( element_range_size ); | |
251 | for(element_range_type::iterator el_it = elements.begin() ; el_it != elements.end() ; ++el_it) | |
252 | *el_it = std::distance(elements.begin(), el_it); | |
253 | ||
254 | index_type indices( index_size ); | |
255 | for(index_type::iterator i_it = indices.begin() ; i_it != indices.end() ; ++i_it ) | |
256 | *i_it = element_range_size - index_size + std::distance(indices.begin(), i_it); | |
257 | std::reverse( indices.begin(), indices.end() ); | |
258 | ||
259 | typedef permutation_iterator< element_range_type::iterator, index_type::iterator > permutation_type; | |
260 | permutation_type begin = make_permutation_iterator( elements.begin(), indices.begin() ); | |
261 | permutation_type it = begin; | |
262 | permutation_type end = make_permutation_iterator( elements.begin(), indices.end() ); | |
263 | ||
264 | std::cout << "The original range is : "; | |
265 | std::copy( elements.begin(), elements.end(), std::ostream_iterator< int >( std::cout, " " ) ); | |
266 | std::cout << "\n"; | |
267 | ||
268 | std::cout << "The reindexing scheme is : "; | |
269 | std::copy( indices.begin(), indices.end(), std::ostream_iterator< int >( std::cout, " " ) ); | |
270 | std::cout << "\n"; | |
271 | ||
272 | std::cout << "The permutated range is : "; | |
273 | std::copy( begin, end, std::ostream_iterator< int >( std::cout, " " ) ); | |
274 | std::cout << "\n"; | |
275 | ||
276 | std::cout << "Elements at even indices in the permutation : "; | |
277 | it = begin; | |
278 | for(i = 0; i < index_size / 2 ; ++i, it+=2 ) std::cout << *it << " "; | |
279 | std::cout << "\n"; | |
280 | ||
281 | std::cout << "Permutation backwards : "; | |
282 | it = begin + (index_size); | |
283 | assert( it != begin ); | |
284 | for( ; it-- != begin ; ) std::cout << *it << " "; | |
285 | std::cout << "\n"; | |
286 | ||
287 | std::cout << "Iterate backward with stride 2 : "; | |
288 | it = begin + (index_size - 1); | |
289 | for(i = 0 ; i < index_size / 2 ; ++i, it-=2 ) std::cout << *it << " "; | |
290 | std::cout << "\n"; | |
291 | </pre> | |
292 | <p>The output is:</p> | |
293 | <pre class="literal-block"> | |
294 | The original range is : 0 1 2 3 4 5 6 7 8 9 | |
295 | The reindexing scheme is : 9 8 7 6 | |
296 | The permutated range is : 9 8 7 6 | |
297 | Elements at even indices in the permutation : 9 7 | |
298 | Permutation backwards : 6 7 8 9 | |
299 | Iterate backward with stride 2 : 6 8 | |
300 | </pre> | |
301 | <p>The source code for this example can be found <a class="reference external" href="../example/permutation_iter_example.cpp">here</a>.</p> | |
302 | </div> | |
303 | </div> | |
304 | <div class="footer"> | |
305 | <hr class="footer" /> | |
306 | <a class="reference external" href="permutation_iterator.rst">View document source</a>. | |
307 | 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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