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<h2>C++ Reference</h2>
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<h1 style="color: #145A32;">C++ Reference: Algorithms</h1>
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<div class="title">sparse_permutation.h</div> </div>
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<a href="sparse__permutation_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">// Copyright 2010-2021 Google LLC</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// limitations under the License.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;</div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#ifndef OR_TOOLS_ALGORITHMS_SPARSE_PERMUTATION_H_</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="preprocessor">#define OR_TOOLS_ALGORITHMS_SPARSE_PERMUTATION_H_</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#include &quot;ortools/base/logging.h&quot;</span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;</div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;</div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="comment">// A compact representation for permutations of {0..N-1} that displaces few</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="comment">// elements: it needs only O(K) memory for a permutation that displaces</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160;<span class="comment">// K elements.</span></div><div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="classoperations__research_1_1_sparse_permutation.html">
<div class="ttc" id="classoperations__research_1_1_sparse_permutation_html_a709f5ccee8651229a29a54b3c9e14681"><div class="ttname"><a href="classoperations__research_1_1_sparse_permutation.html#a709f5ccee8651229a29a54b3c9e14681">operations_research::SparsePermutation::CloseCurrentCycle</a></div><div class="ttdeci">void CloseCurrentCycle()</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00090">sparse_permutation.h:90</a></div></div>
<div class="ttc" id="structoperations__research_1_1_sparse_permutation_1_1_iterator_html_a1183625e61d46f8e98a980720c684146"><div class="ttname"><a href="structoperations__research_1_1_sparse_permutation_1_1_iterator.html#a1183625e61d46f8e98a980720c684146">operations_research::SparsePermutation::Iterator::value_type</a></div><div class="ttdeci">int value_type</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00101">sparse_permutation.h:101</a></div></div>
<div class="ttc" id="structoperations__research_1_1_sparse_permutation_1_1_iterator_html_a45e7d9be5295e365dc2f6e1f46f969e1"><div class="ttname"><a href="structoperations__research_1_1_sparse_permutation_1_1_iterator.html#a45e7d9be5295e365dc2f6e1f46f969e1">operations_research::SparsePermutation::Iterator::Iterator</a></div><div class="ttdeci">Iterator(const std::vector&lt; int &gt;::const_iterator &amp;b, const std::vector&lt; int &gt;::const_iterator &amp;e)</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00105">sparse_permutation.h:105</a></div></div>
<div class="ttc" id="classoperations__research_1_1_sparse_permutation_html_a24926108b770033792d015cb86aeffb3"><div class="ttname"><a href="classoperations__research_1_1_sparse_permutation.html#a24926108b770033792d015cb86aeffb3">operations_research::SparsePermutation::Size</a></div><div class="ttdeci">int Size() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00032">sparse_permutation.h:32</a></div></div>
<div class="ttc" id="classoperations__research_1_1_sparse_permutation_html_a9add43490c45e4334099bb15b6e6eab0"><div class="ttname"><a href="classoperations__research_1_1_sparse_permutation.html#a9add43490c45e4334099bb15b6e6eab0">operations_research::SparsePermutation::RemoveCycles</a></div><div class="ttdeci">void RemoveCycles(const std::vector&lt; int &gt; &amp;cycle_indices)</div></div>
<div class="ttc" id="classoperations__research_1_1_sparse_permutation_html_a540c5f44963a3f25d264f41b643e0f57"><div class="ttname"><a href="classoperations__research_1_1_sparse_permutation.html#a540c5f44963a3f25d264f41b643e0f57">operations_research::SparsePermutation::AddToCurrentCycle</a></div><div class="ttdeci">void AddToCurrentCycle(int x)</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00084">sparse_permutation.h:84</a></div></div>
<div class="ttc" id="classoperations__research_1_1_sparse_permutation_html_af567b4e287e268eb9ecee908f63e5b64"><div class="ttname"><a href="classoperations__research_1_1_sparse_permutation.html#af567b4e287e268eb9ecee908f63e5b64">operations_research::SparsePermutation::Cycle</a></div><div class="ttdeci">Iterator Cycle(int i) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00117">sparse_permutation.h:117</a></div></div>
<div class="ttc" id="structoperations__research_1_1_sparse_permutation_1_1_iterator_html_a8497b34029ee966694083aa34c9022b5"><div class="ttname"><a href="structoperations__research_1_1_sparse_permutation_1_1_iterator.html#a8497b34029ee966694083aa34c9022b5">operations_research::SparsePermutation::Iterator::begin</a></div><div class="ttdeci">std::vector&lt; int &gt;::const_iterator begin() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00109">sparse_permutation.h:109</a></div></div>
<div class="ttc" id="structoperations__research_1_1_sparse_permutation_1_1_iterator_html_a152bd708ae8b28ef466f2a3fc7540ae9"><div class="ttname"><a href="structoperations__research_1_1_sparse_permutation_1_1_iterator.html#a152bd708ae8b28ef466f2a3fc7540ae9">operations_research::SparsePermutation::Iterator::end</a></div><div class="ttdeci">std::vector&lt; int &gt;::const_iterator end() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00110">sparse_permutation.h:110</a></div></div>
<div class="ttc" id="classoperations__research_1_1_sparse_permutation_html_a68c2934475b5f68d6d6b9b2fdfb9955d"><div class="ttname"><a href="classoperations__research_1_1_sparse_permutation.html#a68c2934475b5f68d6d6b9b2fdfb9955d">operations_research::SparsePermutation::LastElementInCycle</a></div><div class="ttdeci">int LastElementInCycle(int i) const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00124">sparse_permutation.h:124</a></div></div>
<div class="ttc" id="structoperations__research_1_1_sparse_permutation_1_1_iterator_html_a90184cfdf1a6d1e0e22c93105954a44e"><div class="ttname"><a href="structoperations__research_1_1_sparse_permutation_1_1_iterator.html#a90184cfdf1a6d1e0e22c93105954a44e">operations_research::SparsePermutation::Iterator::begin_</a></div><div class="ttdeci">const std::vector&lt; int &gt;::const_iterator begin_</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00111">sparse_permutation.h:111</a></div></div>
<div class="ttc" id="classoperations__research_1_1_sparse_permutation_html"><div class="ttname"><a href="classoperations__research_1_1_sparse_permutation.html">operations_research::SparsePermutation</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00027">sparse_permutation.h:27</a></div></div>
<div class="ttc" id="structoperations__research_1_1_sparse_permutation_1_1_iterator_html_af9593d4a5ff4274efaf429cb4f9e57cc"><div class="ttname"><a href="structoperations__research_1_1_sparse_permutation_1_1_iterator.html#af9593d4a5ff4274efaf429cb4f9e57cc">operations_research::SparsePermutation::Iterator::size</a></div><div class="ttdeci">int size() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00114">sparse_permutation.h:114</a></div></div>
<div class="ttc" id="classoperations__research_1_1_sparse_permutation_html_a764be64f3029f8b8e23511061d8de355"><div class="ttname"><a href="classoperations__research_1_1_sparse_permutation.html#a764be64f3029f8b8e23511061d8de355">operations_research::SparsePermutation::DebugString</a></div><div class="ttdeci">std::string DebugString() const</div></div>
<div class="ttc" id="structoperations__research_1_1_sparse_permutation_1_1_iterator_html_a1f703720e1f5d97a0386c2dfe803c763"><div class="ttname"><a href="structoperations__research_1_1_sparse_permutation_1_1_iterator.html#a1f703720e1f5d97a0386c2dfe803c763">operations_research::SparsePermutation::Iterator::Iterator</a></div><div class="ttdeci">Iterator()</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00104">sparse_permutation.h:104</a></div></div>
<div class="ttc" id="structoperations__research_1_1_sparse_permutation_1_1_iterator_html_a57fece117afab3e8dd6d54a015c783f6"><div class="ttname"><a href="structoperations__research_1_1_sparse_permutation_1_1_iterator.html#a57fece117afab3e8dd6d54a015c783f6">operations_research::SparsePermutation::Iterator::end_</a></div><div class="ttdeci">const std::vector&lt; int &gt;::const_iterator end_</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00112">sparse_permutation.h:112</a></div></div>
<div class="ttc" id="structoperations__research_1_1_sparse_permutation_1_1_iterator_html_a5a85aaf56880f04a078dc182410090df"><div class="ttname"><a href="structoperations__research_1_1_sparse_permutation_1_1_iterator.html#a5a85aaf56880f04a078dc182410090df">operations_research::SparsePermutation::Iterator::const_iterator</a></div><div class="ttdeci">std::vector&lt; int &gt;::const_iterator const_iterator</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00102">sparse_permutation.h:102</a></div></div>
<div class="ttc" id="namespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<div class="ttc" id="classoperations__research_1_1_sparse_permutation_html_ab601acb5aed920b1e61210d497462976"><div class="ttname"><a href="classoperations__research_1_1_sparse_permutation.html#ab601acb5aed920b1e61210d497462976">operations_research::SparsePermutation::Support</a></div><div class="ttdeci">const std::vector&lt; int &gt; &amp; Support() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00037">sparse_permutation.h:37</a></div></div>
<div class="ttc" id="structoperations__research_1_1_sparse_permutation_1_1_iterator_html"><div class="ttname"><a href="structoperations__research_1_1_sparse_permutation_1_1_iterator.html">operations_research::SparsePermutation::Iterator</a></div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00099">sparse_permutation.h:99</a></div></div>
<div class="ttc" id="classoperations__research_1_1_sparse_permutation_html_a8c5fc5af6e649a82d169f61e4dab5e33"><div class="ttname"><a href="classoperations__research_1_1_sparse_permutation.html#a8c5fc5af6e649a82d169f61e4dab5e33">operations_research::SparsePermutation::NumCycles</a></div><div class="ttdeci">int NumCycles() const</div><div class="ttdef"><b>Definition:</b> <a href="sparse__permutation_8h_source.html#l00033">sparse_permutation.h:33</a></div></div>
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