424 lines
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424 lines
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<div class="headertitle"><div class="title">diffn_util.h</div></div>
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<a href="diffn__util_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
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<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
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<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
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<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#ifndef OR_TOOLS_SAT_DIFFN_UTIL_H_</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#define OR_TOOLS_SAT_DIFFN_UTIL_H_</span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <algorithm></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <iosfwd></span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include <string></span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include <tuple></span></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include <vector></span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> </div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include "absl/container/flat_hash_set.h"</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include "absl/random/bit_gen_ref.h"</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include "absl/strings/str_format.h"</span></div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include "absl/types/span.h"</span></div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include "<a class="code" href="connected__components_8h.html">ortools/graph/connected_components.h</a>"</span></div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include "<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>"</span></div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="preprocessor">#include "<a class="code" href="intervals_8h.html">ortools/sat/intervals.h</a>"</span></div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="preprocessor">#include "<a class="code" href="strong__integers_8h.html">ortools/util/strong_integers.h</a>"</span></div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="keyword">namespace </span>sat {</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html"> 36</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_rectangle.html">Rectangle</a> {</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c"> 37</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">x_min</a>;</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e"> 38</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">x_max</a>;</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095"> 39</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">y_min</a>;</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f"> 40</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">y_max</a>;</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#ae0f155c5fab2db4cf40e75f0ad6039f6"> 42</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_rectangle.html#ae0f155c5fab2db4cf40e75f0ad6039f6">TakeUnionWith</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_rectangle.html">Rectangle</a>& other) {</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">x_min</a> = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">x_min</a>, other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">x_min</a>);</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">y_min</a> = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">y_min</a>, other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">y_min</a>);</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">x_max</a> = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">x_max</a>, other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">x_max</a>);</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">y_max</a> = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">y_max</a>, other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">y_max</a>);</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> }</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#a72c77da14562bc93e057989744b551fd"> 49</a></span> IntegerValue <a class="code hl_function" href="structoperations__research_1_1sat_1_1_rectangle.html#a72c77da14562bc93e057989744b551fd">Area</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> (<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">x_max</a> - <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">x_min</a>) * (<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">y_max</a> - <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">y_min</a>); }</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_rectangle.html#af35016193fab7576c18a7fbd0e3b9a20">IsDisjoint</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_rectangle.html">Rectangle</a>& other) <span class="keyword">const</span>;</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_rectangle.html#a764be64f3029f8b8e23511061d8de355"> 53</a></span> std::string <a class="code hl_function" href="structoperations__research_1_1sat_1_1_rectangle.html#a764be64f3029f8b8e23511061d8de355">DebugString</a>()<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">return</span> absl::StrFormat(<span class="stringliteral">"rectangle(x(%i..%i), y(%i..%i))"</span>, <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">x_min</a>.value(),</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">x_max</a>.value(), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">y_min</a>.value(), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">y_max</a>.value());</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> }</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span>};</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span><span class="comment">// Creates a graph when two nodes are connected iif their rectangles overlap.</span></div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span><span class="comment">// Then partition into connected components.</span></div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span><span class="comment">//</span></div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span><span class="comment">// This method removes all singleton components. It will modify the</span></div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span><span class="comment">// active_rectangle span in place.</span></div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span>std::vector<absl::Span<int>> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a3e2516c0d3fc4991896c6a9bbead80e7">GetOverlappingRectangleComponents</a>(</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keyword">const</span> std::vector<Rectangle>& rectangles,</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> absl::Span<int> active_rectangles);</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span><span class="comment">// Visible for testing. The algo is in O(n^4) so shouldn't be used directly.</span></div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="comment">// Returns true if there exist a bounding box with too much energy.</span></div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#acb732f4a9114d03a4b3e53109923e60f">BoxesAreInEnergyConflict</a>(<span class="keyword">const</span> std::vector<Rectangle>& rectangles,</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">const</span> std::vector<IntegerValue>& energies,</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> absl::Span<const int> boxes,</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> Rectangle* conflict = <span class="keyword">nullptr</span>);</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> </div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span><span class="comment">// Checks that there is indeed a conflict for the given bounding_box and</span></div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span><span class="comment">// report it. This returns false for convenience as we usually want to return</span></div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span><span class="comment">// false on a conflict.</span></div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span><span class="comment">//</span></div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span><span class="comment">// TODO(user): relax the bounding box dimension to have a relaxed explanation.</span></div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span><span class="comment">// We can also minimize the number of required intervals.</span></div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ac15dce45cd213b58af7a1fd6fc8a6ebc">ReportEnergyConflict</a>(Rectangle bounding_box, absl::Span<const int> boxes,</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> SchedulingConstraintHelper* x,</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> SchedulingConstraintHelper* y);</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span><span class="comment">// A O(n^2) algorithm to analyze all the relevant X intervals and infer a</span></div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span><span class="comment">// threshold of the y size of a bounding box after which there is no point</span></div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span><span class="comment">// checking for energy overload.</span></div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span><span class="comment">//</span></div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span><span class="comment">// Returns false on conflict, and fill the bounding box that caused the</span></div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span><span class="comment">// conflict.</span></div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span><span class="comment">//</span></div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span><span class="comment">// If transpose is true, we analyze the relevant Y intervals instead.</span></div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span><span class="keywordtype">bool</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a98d09c7e8c4f5a15b569f5f14fa9937a">AnalyzeIntervals</a>(<span class="keywordtype">bool</span> transpose, absl::Span<const int> boxes,</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keyword">const</span> std::vector<Rectangle>& rectangles,</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keyword">const</span> std::vector<IntegerValue>& rectangle_energies,</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> IntegerValue* x_threshold, IntegerValue* y_threshold,</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> Rectangle* conflict = <span class="keyword">nullptr</span>);</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> </div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span><span class="comment">// Removes boxes with a size above the thresholds. Also randomize the order.</span></div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span><span class="comment">// Because we rely on various heuristic, this allow to change the order from</span></div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span><span class="comment">// one call to the next.</span></div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span>absl::Span<int> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a4e6ac3124f7b4484cb98c11d412f9f34">FilterBoxesAndRandomize</a>(</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keyword">const</span> std::vector<Rectangle>& cached_rectangles, absl::Span<int> boxes,</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> IntegerValue threshold_x, IntegerValue threshold_y, absl::BitGenRef random);</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> </div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span><span class="comment">// Given the total energy of all rectangles (sum of energies[box]) we know that</span></div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span><span class="comment">// any box with an area greater than that cannot participate in any "bounding</span></div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span><span class="comment">// box" conflict. As we remove this box, the total energy decrease, so we might</span></div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span><span class="comment">// remove more. This works in O(n log n).</span></div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span>absl::Span<int> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ae5c5a34c633c8746d9caca8d79cf2727">FilterBoxesThatAreTooLarge</a>(</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">const</span> std::vector<Rectangle>& cached_rectangles,</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keyword">const</span> std::vector<IntegerValue>& energies, absl::Span<int> boxes);</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval.html"> 114</a></span><span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval.html">IndexedInterval</a> {</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a750b5d744c39a06bfb13e6eb010e35d0"> 115</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>;</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a400e140755dad2869fffc4fe00e5aa71"> 116</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a400e140755dad2869fffc4fe00e5aa71">start</a>;</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a3ef64c28e09f7e10c2cca5459e31e727"> 117</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a3ef64c28e09f7e10c2cca5459e31e727">end</a>;</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a46103419d73599371fe5864c039d14b5"> 119</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a46103419d73599371fe5864c039d14b5">operator==</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval.html">IndexedInterval</a>& rhs)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordflow">return</span> std::tie(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a400e140755dad2869fffc4fe00e5aa71">start</a>, <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a3ef64c28e09f7e10c2cca5459e31e727">end</a>, <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>) ==</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> std::tie(rhs.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a400e140755dad2869fffc4fe00e5aa71">start</a>, rhs.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a3ef64c28e09f7e10c2cca5459e31e727">end</a>, rhs.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_indexed_interval.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> }</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> </div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="comment">// NOTE(user): We would like to use TUPLE_DEFINE_STRUCT, but sadly it doesn't</span></div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="comment">// support //buildenv/target:non_prod.</span></div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index.html"> 126</a></span> <span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index.html">ComparatorByStartThenEndThenIndex</a> {</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index.html#a66706c1327980f67b30494ab3651d8ae"> 127</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index.html#a66706c1327980f67b30494ab3651d8ae">operator()</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval.html">IndexedInterval</a>& <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval.html">IndexedInterval</a>& <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keywordflow">return</span> std::tie(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.start, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.end, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.index) <</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> std::tie(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.start, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.end, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.index);</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> }</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> };</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start.html"> 132</a></span> <span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start.html">ComparatorByStart</a> {</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start.html#a66706c1327980f67b30494ab3651d8ae"> 133</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start.html#a66706c1327980f67b30494ab3651d8ae">operator()</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval.html">IndexedInterval</a>& <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_indexed_interval.html">IndexedInterval</a>& <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.start < <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.start;</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> }</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> };</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span>};</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span>std::ostream& <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a15ca399ada8a279dc92f693ede7e4004">operator<<</a>(std::ostream& out, <span class="keyword">const</span> IndexedInterval& <a class="code hl_variable" href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a>);</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> </div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span><span class="comment">// Given n fixed intervals, returns the subsets of intervals that overlap during</span></div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span><span class="comment">// at least one time unit. Note that we only return "maximal" subset and filter</span></div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span><span class="comment">// subset strictly included in another.</span></div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span><span class="comment">//</span></div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span><span class="comment">// All Intervals must have a positive size.</span></div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span><span class="comment">//</span></div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span><span class="comment">// The algo is in O(n log n) + O(result_size) which is usually O(n^2).</span></div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#ac3cb41a5bdd2bb25d3218fe11454a45a">ConstructOverlappingSets</a>(<span class="keywordtype">bool</span> already_sorted,</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> std::vector<IndexedInterval>* intervals,</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> std::vector<std::vector<int>>* result);</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> </div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span><span class="comment">// Given n intervals, returns the set of connected components (using the overlap</span></div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span><span class="comment">// relation between 2 intervals). Components are sorted by their start, and</span></div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span><span class="comment">// inside a component, the intervals are also sorted by start.</span></div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span><span class="comment">// `intervals` is only sorted (by start), and not modified otherwise.</span></div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span><span class="keywordtype">void</span> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a25663ee674a71cf424a0c60c9bf5506f">GetOverlappingIntervalComponents</a>(</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> std::vector<IndexedInterval>* intervals,</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> std::vector<std::vector<int>>* components);</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> </div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span><span class="comment">// Similar to GetOverlappingIntervalComponents(), but returns the indices of</span></div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span><span class="comment">// all intervals whose removal would create one more connected component in the</span></div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span><span class="comment">// interval graph. Those are sorted by start. See:</span></div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span><span class="comment">// https://en.wikipedia.org/wiki/Glossary_of_graph_theory#articulation_point.</span></div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span>std::vector<int> <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a29fc5608780f1d24b490a8bc3650774e">GetIntervalArticulationPoints</a>(</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> std::vector<IndexedInterval>* intervals);</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span><span class="comment">// This class is used by the no_overlap_2d constraint to maintain the envelope</span></div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span><span class="comment">// of a set of rectangles. This envelope is not the convex hull, but the exact</span></div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span><span class="comment">// polyline (aligned with the x and y axis) that contains all the rectangles</span></div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span><span class="comment">// passed with the AddRectangle() call.</span></div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"><a class="line" href="classoperations__research_1_1sat_1_1_capacity_profile.html"> 170</a></span><span class="keyword">class </span><a class="code hl_class" href="classoperations__research_1_1sat_1_1_capacity_profile.html">CapacityProfile</a> {</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">public</span>:</div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="comment">// Simple start of a rectangle. This is used to represent the residual</span></div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="comment">// capacity profile.</span></div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html"> 174</a></span> <span class="keyword">struct </span><a class="code hl_struct" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html">Rectangle</a> {</div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#abf2a6d80da8725390c334a2396ce8c89"> 175</a></span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#abf2a6d80da8725390c334a2396ce8c89">Rectangle</a>(IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a400e140755dad2869fffc4fe00e5aa71">start</a>, IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#afe5e50b036f7b2108bdef869c792618f">height</a>)</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> : <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a400e140755dad2869fffc4fe00e5aa71">start</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a400e140755dad2869fffc4fe00e5aa71">start</a>), <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#afe5e50b036f7b2108bdef869c792618f">height</a>(<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#afe5e50b036f7b2108bdef869c792618f">height</a>) {}</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> </div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a6297e0ac68a9621adc0a4397b3b064d3"> 178</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a6297e0ac68a9621adc0a4397b3b064d3">operator<</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html">Rectangle</a>& other)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a400e140755dad2869fffc4fe00e5aa71">start</a> < other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a400e140755dad2869fffc4fe00e5aa71">start</a>; }</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#aa42a8e6362af00f2a0aefb16c8ba1332"> 179</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#aa42a8e6362af00f2a0aefb16c8ba1332">operator==</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html">Rectangle</a>& other)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a400e140755dad2869fffc4fe00e5aa71">start</a> == other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a400e140755dad2869fffc4fe00e5aa71">start</a> && <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#afe5e50b036f7b2108bdef869c792618f">height</a> == other.<a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#afe5e50b036f7b2108bdef869c792618f">height</a>;</div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> }</div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a400e140755dad2869fffc4fe00e5aa71"> 183</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a400e140755dad2869fffc4fe00e5aa71">start</a> = IntegerValue(0);</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"><a class="line" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#afe5e50b036f7b2108bdef869c792618f"> 184</a></span> IntegerValue <a class="code hl_variable" href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#afe5e50b036f7b2108bdef869c792618f">height</a> = IntegerValue(0);</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> };</div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> </div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_capacity_profile.html#aa71d36872f416feaa853788a7a7a7ef8">Clear</a>();</div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> </div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="comment">// Adds a rectangle to the current shape.</span></div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_capacity_profile.html#a3131bcd0083f6de781499abfa46de79c">AddRectangle</a>(IntegerValue x_min, IntegerValue x_max, IntegerValue y_min,</div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> IntegerValue y_max);</div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> </div>
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<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="comment">// Adds a mandatory profile consumption. All mandatory usages will be</span></div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="comment">// subtracted from the y_max-y_min profile to build the residual capacity.</span></div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_capacity_profile.html#a2e6f42d7c3e2a6ff73c518d1f3107e4f">AddMandatoryConsumption</a>(IntegerValue x_min, IntegerValue x_max,</div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> IntegerValue y_height);</div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> </div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// Returns the profile of the function:</span></div>
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<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="comment">// capacity(x) = max(y_max of rectangles overlapping x) - min(y_min of</span></div>
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<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="comment">// rectangle overlapping x) - sum(y_height of mandatory rectangles</span></div>
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<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="comment">// overlapping x) where a rectangle overlaps x if x_min <= x < x_max.</span></div>
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<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="comment">// Note the profile can contain negative heights in case the mandatory part</span></div>
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<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="comment">// exceeds the range on the y axis.</span></div>
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<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="comment">// Note that it adds a sentinel (kMinIntegerValue, 0) at the start. It is</span></div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <span class="comment">// useful when we reverse the direction on the x axis.</span></div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keywordtype">void</span> <a class="code hl_function" href="classoperations__research_1_1sat_1_1_capacity_profile.html#a5eac42792745076954560320f9b8c7ea">BuildResidualCapacityProfile</a>(std::vector<Rectangle>* result);</div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> </div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="comment">// Returns the exact area of the bounding polyline of all rectangles added.</span></div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="comment">//</span></div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="comment">// Note that this will redo the computation each time.</span></div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> IntegerValue <a class="code hl_function" href="classoperations__research_1_1sat_1_1_capacity_profile.html#aea102560f0670a0432eca120b9089663">GetBoundingArea</a>();</div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> </div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="keyword">private</span>:</div>
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<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="comment">// Type for the capacity events.</span></div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="keyword">enum</span> EventType { START_RECTANGLE, END_RECTANGLE, CHANGE_MANDATORY_PROFILE };</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> </div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="comment">// Individual events.</span></div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="keyword">struct </span>Event {</div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> IntegerValue <a class="code hl_variable" href="resource_8cc.html#aee52de7b225665566aa47246b9d6b8fa">time</a>;</div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> IntegerValue y_min;</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> IntegerValue y_max;</div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> EventType type;</div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>;</div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> </div>
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<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> operator<(<span class="keyword">const</span> Event& other)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="resource_8cc.html#aee52de7b225665566aa47246b9d6b8fa">time</a> < other.time; }</div>
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<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> };</div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> </div>
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<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="comment">// Element of the integer_pq heap.</span></div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keyword">struct </span>QueueElement {</div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="keywordtype">int</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#ac89c7b45754e9a6bdabc08bea586fc4e">Index</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>; }</div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> operator<(<span class="keyword">const</span> QueueElement& o)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a> < o.value;</div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> }</div>
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<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> </div>
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<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>;</div>
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<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> IntegerValue <a class="code hl_variable" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>;</div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> };</div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> </div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> <span class="keyword">static</span> Event StartRectangleEvent(<span class="keywordtype">int</span> <a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>, IntegerValue x_min,</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> IntegerValue y_min, IntegerValue y_max) {</div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keywordflow">return</span> {x_min, y_min, y_max, START_RECTANGLE, <a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>};</div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> }</div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> </div>
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<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <span class="keyword">static</span> Event EndRectangleEvent(<span class="keywordtype">int</span> <a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>, IntegerValue x_max) {</div>
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<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="keywordflow">return</span> {x_max, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>, <a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>, END_RECTANGLE, <a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>};</div>
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> }</div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> </div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="keyword">static</span> Event ChangeMandatoryProfileEvent(IntegerValue x, IntegerValue <a class="code hl_variable" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a>) {</div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> <span class="keywordflow">return</span> {x, <span class="comment">/*y_min=*/</span><a class="code hl_variable" href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a>, <span class="comment">/*y_max=*/</span><a class="code hl_function" href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">kMinIntegerValue</a>,</div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> CHANGE_MANDATORY_PROFILE, <span class="comment">/*index=*/</span>-1};</div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> }</div>
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> </div>
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<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> std::vector<Event> events_;</div>
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<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <span class="keywordtype">int</span> num_rectangles_added_ = 0;</div>
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<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span>};</div>
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<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> </div>
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<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span>} <span class="comment">// namespace sat</span></div>
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<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span>} <span class="comment">// namespace operations_research</span></div>
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<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> </div>
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<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span><span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_DIFFN_UTIL_H_</span></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f"><div class="ttname"><a href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a></div><div class="ttdeci">int64_t max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00140">alldiff_cst.cc:140</a></div></div>
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<div class="ttc" id="aalldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045"><div class="ttname"><a href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a></div><div class="ttdeci">int64_t min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00139">alldiff_cst.cc:139</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_capacity_profile_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_capacity_profile.html">operations_research::sat::CapacityProfile</a></div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00170">diffn_util.h:170</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_capacity_profile_html_a2e6f42d7c3e2a6ff73c518d1f3107e4f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_capacity_profile.html#a2e6f42d7c3e2a6ff73c518d1f3107e4f">operations_research::sat::CapacityProfile::AddMandatoryConsumption</a></div><div class="ttdeci">void AddMandatoryConsumption(IntegerValue x_min, IntegerValue x_max, IntegerValue y_height)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00506">diffn_util.cc:506</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_capacity_profile_html_a3131bcd0083f6de781499abfa46de79c"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_capacity_profile.html#a3131bcd0083f6de781499abfa46de79c">operations_research::sat::CapacityProfile::AddRectangle</a></div><div class="ttdeci">void AddRectangle(IntegerValue x_min, IntegerValue x_max, IntegerValue y_min, IntegerValue y_max)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00495">diffn_util.cc:495</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_capacity_profile_html_a5eac42792745076954560320f9b8c7ea"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_capacity_profile.html#a5eac42792745076954560320f9b8c7ea">operations_research::sat::CapacityProfile::BuildResidualCapacityProfile</a></div><div class="ttdeci">void BuildResidualCapacityProfile(std::vector< Rectangle > *result)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00516">diffn_util.cc:516</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_capacity_profile_html_aa71d36872f416feaa853788a7a7a7ef8"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_capacity_profile.html#aa71d36872f416feaa853788a7a7a7ef8">operations_research::sat::CapacityProfile::Clear</a></div><div class="ttdeci">void Clear()</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00490">diffn_util.cc:490</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1sat_1_1_capacity_profile_html_aea102560f0670a0432eca120b9089663"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_capacity_profile.html#aea102560f0670a0432eca120b9089663">operations_research::sat::CapacityProfile::GetBoundingArea</a></div><div class="ttdeci">IntegerValue GetBoundingArea()</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00562">diffn_util.cc:562</a></div></div>
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<div class="ttc" id="aconnected__components_8h_html"><div class="ttname"><a href="connected__components_8h.html">connected_components.h</a></div></div>
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<div class="ttc" id="aconstraint__solver_2table_8cc_html_a9293e4d29cac928301645070dd307683"><div class="ttname"><a href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a></div><div class="ttdeci">int64_t b</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00047">constraint_solver/table.cc:47</a></div></div>
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<div class="ttc" id="aconstraint__solver_2table_8cc_html_acb18315d548212835cd8ed4287e6c0b6"><div class="ttname"><a href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a></div><div class="ttdeci">int64_t a</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00046">constraint_solver/table.cc:46</a></div></div>
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<div class="ttc" id="ademon__profiler_8cc_html_ac072af30c4ffbc834bb4c681f6ecb514"><div class="ttname"><a href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a></div><div class="ttdeci">int64_t value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00044">demon_profiler.cc:44</a></div></div>
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<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
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<div class="ttc" id="aintervals_8h_html"><div class="ttname"><a href="intervals_8h.html">intervals.h</a></div></div>
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<div class="ttc" id="alocal__search_8cc_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="local__search_8cc_source.html#l02750">local_search.cc:2750</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_ac89c7b45754e9a6bdabc08bea586fc4e"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#ac89c7b45754e9a6bdabc08bea586fc4e">operations_research::glop::Index</a></div><div class="ttdeci">int32_t Index</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00038">lp_types.h:38</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a15ca399ada8a279dc92f693ede7e4004"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a15ca399ada8a279dc92f693ede7e4004">operations_research::sat::operator<<</a></div><div class="ttdeci">std::ostream & operator<<(std::ostream &os, const BoolVar &var)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8cc_source.html#l00089">cp_model.cc:89</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a25663ee674a71cf424a0c60c9bf5506f"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a25663ee674a71cf424a0c60c9bf5506f">operations_research::sat::GetOverlappingIntervalComponents</a></div><div class="ttdeci">void GetOverlappingIntervalComponents(std::vector< IndexedInterval > *intervals, std::vector< std::vector< int > > *components)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00409">diffn_util.cc:409</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a29fc5608780f1d24b490a8bc3650774e"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a29fc5608780f1d24b490a8bc3650774e">operations_research::sat::GetIntervalArticulationPoints</a></div><div class="ttdeci">std::vector< int > GetIntervalArticulationPoints(std::vector< IndexedInterval > *intervals)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00442">diffn_util.cc:442</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a3e2516c0d3fc4991896c6a9bbead80e7"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a3e2516c0d3fc4991896c6a9bbead80e7">operations_research::sat::GetOverlappingRectangleComponents</a></div><div class="ttdeci">std::vector< absl::Span< int > > GetOverlappingRectangleComponents(const std::vector< Rectangle > &rectangles, absl::Span< int > active_rectangles)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00040">diffn_util.cc:40</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a4e6ac3124f7b4484cb98c11d412f9f34"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a4e6ac3124f7b4484cb98c11d412f9f34">operations_research::sat::FilterBoxesAndRandomize</a></div><div class="ttdeci">absl::Span< int > FilterBoxesAndRandomize(const std::vector< Rectangle > &cached_rectangles, absl::Span< int > boxes, IntegerValue threshold_x, IntegerValue threshold_y, absl::BitGenRef random)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00317">diffn_util.cc:317</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a5316808a2d5007c3b489e844801385e5"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a5316808a2d5007c3b489e844801385e5">operations_research::sat::kMinIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMinIntegerValue(-kMaxIntegerValue.value())</div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a98d09c7e8c4f5a15b569f5f14fa9937a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a98d09c7e8c4f5a15b569f5f14fa9937a">operations_research::sat::AnalyzeIntervals</a></div><div class="ttdeci">bool AnalyzeIntervals(bool transpose, absl::Span< const int > local_boxes, const std::vector< Rectangle > &rectangles, const std::vector< IntegerValue > &rectangle_energies, IntegerValue *x_threshold, IntegerValue *y_threshold, Rectangle *conflict)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00165">diffn_util.cc:165</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ac15dce45cd213b58af7a1fd6fc8a6ebc"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ac15dce45cd213b58af7a1fd6fc8a6ebc">operations_research::sat::ReportEnergyConflict</a></div><div class="ttdeci">bool ReportEnergyConflict(Rectangle bounding_box, absl::Span< const int > boxes, SchedulingConstraintHelper *x, SchedulingConstraintHelper *y)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00066">diffn_util.cc:66</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ac3cb41a5bdd2bb25d3218fe11454a45a"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ac3cb41a5bdd2bb25d3218fe11454a45a">operations_research::sat::ConstructOverlappingSets</a></div><div class="ttdeci">void ConstructOverlappingSets(bool already_sorted, std::vector< IndexedInterval > *intervals, std::vector< std::vector< int > > *result)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00360">diffn_util.cc:360</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_acb732f4a9114d03a4b3e53109923e60f"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#acb732f4a9114d03a4b3e53109923e60f">operations_research::sat::BoxesAreInEnergyConflict</a></div><div class="ttdeci">bool BoxesAreInEnergyConflict(const std::vector< Rectangle > &rectangles, const std::vector< IntegerValue > &energies, absl::Span< const int > boxes, Rectangle *conflict)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00098">diffn_util.cc:98</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ae5c5a34c633c8746d9caca8d79cf2727"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ae5c5a34c633c8746d9caca8d79cf2727">operations_research::sat::FilterBoxesThatAreTooLarge</a></div><div class="ttdeci">absl::Span< int > FilterBoxesThatAreTooLarge(const std::vector< Rectangle > &cached_rectangles, const std::vector< IntegerValue > &energies, absl::Span< int > boxes)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00333">diffn_util.cc:333</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</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>
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<div class="ttc" id="aresource_8cc_html_aee52de7b225665566aa47246b9d6b8fa"><div class="ttname"><a href="resource_8cc.html#aee52de7b225665566aa47246b9d6b8fa">time</a></div><div class="ttdeci">int64_t time</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l01693">resource.cc:1693</a></div></div>
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<div class="ttc" id="aresource_8cc_html_af12056bc2a8e3ec563f0940d87abbd2e"><div class="ttname"><a href="resource_8cc.html#af12056bc2a8e3ec563f0940d87abbd2e">delta</a></div><div class="ttdeci">int64_t delta</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l01694">resource.cc:1694</a></div></div>
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<div class="ttc" id="aresource_8cc_html_af92a8383a05fdf586a52263d358f5ada"><div class="ttname"><a href="resource_8cc.html#af92a8383a05fdf586a52263d358f5ada">interval</a></div><div class="ttdeci">IntervalVar * interval</div><div class="ttdef"><b>Definition:</b> <a href="resource_8cc_source.html#l00100">resource.cc:100</a></div></div>
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<div class="ttc" id="astrong__integers_8h_html"><div class="ttname"><a href="strong__integers_8h.html">strong_integers.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html">operations_research::sat::CapacityProfile::Rectangle</a></div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00174">diffn_util.h:174</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle_html_a400e140755dad2869fffc4fe00e5aa71"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a400e140755dad2869fffc4fe00e5aa71">operations_research::sat::CapacityProfile::Rectangle::start</a></div><div class="ttdeci">IntegerValue start</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00183">diffn_util.h:183</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle_html_a6297e0ac68a9621adc0a4397b3b064d3"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#a6297e0ac68a9621adc0a4397b3b064d3">operations_research::sat::CapacityProfile::Rectangle::operator<</a></div><div class="ttdeci">bool operator<(const Rectangle &other) const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00178">diffn_util.h:178</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle_html_aa42a8e6362af00f2a0aefb16c8ba1332"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#aa42a8e6362af00f2a0aefb16c8ba1332">operations_research::sat::CapacityProfile::Rectangle::operator==</a></div><div class="ttdeci">bool operator==(const Rectangle &other) const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00179">diffn_util.h:179</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle_html_abf2a6d80da8725390c334a2396ce8c89"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#abf2a6d80da8725390c334a2396ce8c89">operations_research::sat::CapacityProfile::Rectangle::Rectangle</a></div><div class="ttdeci">Rectangle(IntegerValue start, IntegerValue height)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00175">diffn_util.h:175</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle_html_afe5e50b036f7b2108bdef869c792618f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_capacity_profile_1_1_rectangle.html#afe5e50b036f7b2108bdef869c792618f">operations_research::sat::CapacityProfile::Rectangle::height</a></div><div class="ttdeci">IntegerValue height</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00184">diffn_util.h:184</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start.html">operations_research::sat::IndexedInterval::ComparatorByStart</a></div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00132">diffn_util.h:132</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_html_a66706c1327980f67b30494ab3651d8ae"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start.html#a66706c1327980f67b30494ab3651d8ae">operations_research::sat::IndexedInterval::ComparatorByStart::operator()</a></div><div class="ttdeci">bool operator()(const IndexedInterval &a, const IndexedInterval &b) const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00133">diffn_util.h:133</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index.html">operations_research::sat::IndexedInterval::ComparatorByStartThenEndThenIndex</a></div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00126">diffn_util.h:126</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index_html_a66706c1327980f67b30494ab3651d8ae"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval_1_1_comparator_by_start_then_end_then_index.html#a66706c1327980f67b30494ab3651d8ae">operations_research::sat::IndexedInterval::ComparatorByStartThenEndThenIndex::operator()</a></div><div class="ttdeci">bool operator()(const IndexedInterval &a, const IndexedInterval &b) const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00127">diffn_util.h:127</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval.html">operations_research::sat::IndexedInterval</a></div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00114">diffn_util.h:114</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_html_a3ef64c28e09f7e10c2cca5459e31e727"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval.html#a3ef64c28e09f7e10c2cca5459e31e727">operations_research::sat::IndexedInterval::end</a></div><div class="ttdeci">IntegerValue end</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00117">diffn_util.h:117</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_html_a400e140755dad2869fffc4fe00e5aa71"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval.html#a400e140755dad2869fffc4fe00e5aa71">operations_research::sat::IndexedInterval::start</a></div><div class="ttdeci">IntegerValue start</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00116">diffn_util.h:116</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_html_a46103419d73599371fe5864c039d14b5"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval.html#a46103419d73599371fe5864c039d14b5">operations_research::sat::IndexedInterval::operator==</a></div><div class="ttdeci">bool operator==(const IndexedInterval &rhs) const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00119">diffn_util.h:119</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_indexed_interval_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_indexed_interval.html#a750b5d744c39a06bfb13e6eb010e35d0">operations_research::sat::IndexedInterval::index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00115">diffn_util.h:115</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html">operations_research::sat::Rectangle</a></div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00036">diffn_util.h:36</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_a0cc9a3a200ee27bae9b9907d97b5718e"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#a0cc9a3a200ee27bae9b9907d97b5718e">operations_research::sat::Rectangle::x_max</a></div><div class="ttdeci">IntegerValue x_max</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00038">diffn_util.h:38</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_a1f62ae069f3793df9ae18399ba6d052c"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#a1f62ae069f3793df9ae18399ba6d052c">operations_research::sat::Rectangle::x_min</a></div><div class="ttdeci">IntegerValue x_min</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00037">diffn_util.h:37</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_a379a897decc0711464cb15e8d02fd095"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#a379a897decc0711464cb15e8d02fd095">operations_research::sat::Rectangle::y_min</a></div><div class="ttdeci">IntegerValue y_min</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00039">diffn_util.h:39</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_a72c77da14562bc93e057989744b551fd"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#a72c77da14562bc93e057989744b551fd">operations_research::sat::Rectangle::Area</a></div><div class="ttdeci">IntegerValue Area() const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00049">diffn_util.h:49</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_a764be64f3029f8b8e23511061d8de355"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#a764be64f3029f8b8e23511061d8de355">operations_research::sat::Rectangle::DebugString</a></div><div class="ttdeci">std::string DebugString() const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00053">diffn_util.h:53</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_ae0f155c5fab2db4cf40e75f0ad6039f6"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#ae0f155c5fab2db4cf40e75f0ad6039f6">operations_research::sat::Rectangle::TakeUnionWith</a></div><div class="ttdeci">void TakeUnionWith(const Rectangle &other)</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00042">diffn_util.h:42</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_ae39303b5b3149e1914834c36ad51fe8f"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#ae39303b5b3149e1914834c36ad51fe8f">operations_research::sat::Rectangle::y_max</a></div><div class="ttdeci">IntegerValue y_max</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8h_source.html#l00040">diffn_util.h:40</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1sat_1_1_rectangle_html_af35016193fab7576c18a7fbd0e3b9a20"><div class="ttname"><a href="structoperations__research_1_1sat_1_1_rectangle.html#af35016193fab7576c18a7fbd0e3b9a20">operations_research::sat::Rectangle::IsDisjoint</a></div><div class="ttdeci">bool IsDisjoint(const Rectangle &other) const</div><div class="ttdef"><b>Definition:</b> <a href="diffn__util_8cc_source.html#l00035">diffn_util.cc:35</a></div></div>
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