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<div class="headertitle"><div class="title">arc_flow_builder.cc</div></div>
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<a href="arc__flow__builder_8cc.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>
<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 &quot;License&quot;);</span></div>
<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>
<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>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
<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>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<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>
<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 &quot;AS IS&quot; BASIS,</span></div>
<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>
<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>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &quot;<a class="code" href="arc__flow__builder_8h.html">ortools/packing/arc_flow_builder.h</a>&quot;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &quot;absl/container/flat_hash_map.h&quot;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &quot;absl/strings/str_cat.h&quot;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &quot;absl/strings/str_join.h&quot;</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &quot;<a class="code" href="commandlineflags_8h.html">ortools/base/commandlineflags.h</a>&quot;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &quot;<a class="code" href="map__util_8h.html">ortools/base/map_util.h</a>&quot;</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include &quot;<a class="code" href="stl__util_8h.html">ortools/base/stl_util.h</a>&quot;</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include &quot;<a class="code" href="topologicalsorter_8h.html">ortools/graph/topologicalsorter.h</a>&quot;</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</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="l00028" name="l00028"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1packing.html"> 28</a></span><span class="keyword">namespace </span>packing {</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">namespace </span>{</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="keyword">class </span>ArcFlowBuilder {</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// Same arguments as BuildArcFlowGraph(): see the .h.</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> ArcFlowBuilder(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; bin_dimensions,</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">const</span> std::vector&lt;std::vector&lt;int&gt;&gt;&amp; item_dimensions_by_type,</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; demand_by_type);</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="comment">// Builds the arc-flow graph.</span></div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <a class="code hl_struct" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html">ArcFlowGraph</a> BuildVectorBinPackingGraph();</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> </div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// For debugging purposes.tring(</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// Returns the number of states explored in the dynamic programming phase.</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> int64_t NumDpStates() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// All items data, regrouped for sorting purposes.</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keyword">struct </span>Item {</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"><a class="line" href="arc__flow__builder_8cc.html#a85d16954ed793ec11f3250a16cab2a36"> 48</a></span> std::vector&lt;int&gt; <a class="code hl_variable" href="arc__flow__builder_8cc.html#a85d16954ed793ec11f3250a16cab2a36">dimensions</a>;</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="arc__flow__builder_8cc.html#a03bbf16021794da27dc482d7eb9fc0d1"> 49</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="arc__flow__builder_8cc.html#a03bbf16021794da27dc482d7eb9fc0d1">demand</a>;</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"><a class="line" href="arc__flow__builder_8cc.html#a5139ed46ade38540eb6e74fdfe1f6cdf"> 50</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="arc__flow__builder_8cc.html#a5139ed46ade38540eb6e74fdfe1f6cdf">original_index</a>;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// Used to sort items by relative size.</span></div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordtype">double</span> NormalizedSize(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; bin_dimensions) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> };</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="comment">// State of the dynamic programming algorithm.</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">struct </span>DpState {</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"><a class="line" href="arc__flow__builder_8cc.html#a6ea315065af0629a9a1918dc6fc200be"> 58</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="arc__flow__builder_8cc.html#a6ea315065af0629a9a1918dc6fc200be">cur_item_index</a>;</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"><a class="line" href="arc__flow__builder_8cc.html#aae42aa6220faf3fb92b61c3fe6c88648"> 59</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="arc__flow__builder_8cc.html#aae42aa6220faf3fb92b61c3fe6c88648">cur_item_quantity</a>;</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"><a class="line" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00"> 60</a></span> std::vector&lt;int&gt; <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// DP State indices of the states that can be obtained by moving</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// either &quot;right&quot; to (cur_item_index, cur_item_quantity++) or &quot;up&quot;</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="comment">// to (cur_item_index++, cur_item_quantity=0). -1 if impossible.</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"><a class="line" href="arc__flow__builder_8cc.html#a37a60bd8e1de6871a556b2822884edea"> 64</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="arc__flow__builder_8cc.html#a37a60bd8e1de6871a556b2822884edea">right_child</a>;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"><a class="line" href="arc__flow__builder_8cc.html#a260e42164c01b215483de885316fe5d9"> 65</a></span> <span class="keywordtype">int</span> <a class="code hl_variable" href="arc__flow__builder_8cc.html#a260e42164c01b215483de885316fe5d9">up_child</a>;</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> };</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> </div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="comment">// Add item iteratively to create all possible nodes in a forward pass.</span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordtype">void</span> ForwardCreationPass(DpState* dp_state);</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// Scan DP-nodes backward to relabels each nodes by increasing them as much</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// as possible.</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordtype">void</span> BackwardCompressionPass(<span class="keywordtype">int</span> state_index);</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// Relabel nodes by decreasing them as much as possible.</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordtype">void</span> ForwardCompressionPass(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; source_node);</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// Can we fit one more item in the bin?</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keywordtype">bool</span> CanFitNewItem(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>, <span class="keywordtype">int</span> item) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// Create a new used_dimensions that is used_dimensions + item dimensions.</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> std::vector&lt;int&gt; AddItem(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>,</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordtype">int</span> item) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// DpState helpers.</span></div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">int</span> LookupOrCreateDpState(<span class="keywordtype">int</span> item, <span class="keywordtype">int</span> quantity,</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>);</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> </div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keyword">const</span> std::vector&lt;int&gt; bin_dimensions_;</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> std::vector&lt;Item&gt; items_;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keyword">typedef</span> absl::flat_hash_map&lt;std::vector&lt;int&gt;, <span class="keywordtype">int</span>&gt; VectorIntIntMap;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="keywordtype">int</span> GetOrCreateNode(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>);</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// We store all DP states in a dense vector, and remember their index</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// in the dp_state_index_ map (we use a tri-dimensional indexing because</span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// it&#39;s faster for the hash part).</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> std::vector&lt;DpState*&gt; dp_states_;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> std::vector&lt;std::vector&lt;VectorIntIntMap&gt;&gt; dp_state_index_;</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="comment">// The ArcFlowGraph will have nodes which will correspond to &quot;some&quot;</span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// of the vector&lt;int&gt; representing the partial bin usages encountered during</span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// the algo. These two data structures map one to the other (note that nodes</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// are dense integers).</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> absl::flat_hash_map&lt;std::vector&lt;int&gt;, <span class="keywordtype">int</span>&gt; node_indices_;</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> std::vector&lt;std::vector&lt;int&gt;&gt; nodes_;</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> </div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> std::set&lt;ArcFlowGraph::Arc&gt; arcs_;</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span>};</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span><span class="keywordtype">double</span> ArcFlowBuilder::Item::NormalizedSize(</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; bin_dimensions)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordtype">double</span> size = 0.0;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; bin_dimensions.size(); ++i) {</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> size += <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(<a class="code hl_variable" href="arc__flow__builder_8cc.html#a85d16954ed793ec11f3250a16cab2a36">dimensions</a>[i]) / bin_dimensions[i];</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> }</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordflow">return</span> size;</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span>}</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> </div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span>int64_t ArcFlowBuilder::NumDpStates()<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> int64_t res = 1; <span class="comment">// We do not store the initial state.</span></div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; it1 : dp_state_index_) {</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; it2 : it1) {</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> res += it2.size();</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> }</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> }</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">return</span> res;</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span>}</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> </div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span>ArcFlowBuilder::ArcFlowBuilder(</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; bin_dimensions,</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keyword">const</span> std::vector&lt;std::vector&lt;int&gt;&gt;&amp; item_dimensions_by_type,</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; demand_by_type)</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> : bin_dimensions_(bin_dimensions) {</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="comment">// Checks dimensions.</span></div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; bin_dimensions.size(); ++i) {</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <a class="code hl_define" href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a>(bin_dimensions[i], 0);</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> }</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> </div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_items = item_dimensions_by_type.size();</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> items_.resize(num_items);</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_items; ++i) {</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> items_[i].dimensions = item_dimensions_by_type[i];</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> items_[i].demand = demand_by_type[i];</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> items_[i].original_index = i;</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> }</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> std::sort(items_.begin(), items_.end(), [&amp;](<span class="keyword">const</span> Item&amp; <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <span class="keyword">const</span> Item&amp; <a class="code hl_variable" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> return a.NormalizedSize(bin_dimensions_) &gt;</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> b.NormalizedSize(bin_dimensions_);</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> });</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span>}</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> </div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span><span class="keywordtype">bool</span> ArcFlowBuilder::CanFitNewItem(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>,</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="keywordtype">int</span> item)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> d = 0; d &lt; bin_dimensions_.size(); ++d) {</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>[d] + items_[item].<a class="code hl_variable" href="arc__flow__builder_8cc.html#a85d16954ed793ec11f3250a16cab2a36">dimensions</a>[d] &gt; bin_dimensions_[d]) {</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> }</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> }</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span>}</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> </div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span>std::vector&lt;int&gt; ArcFlowBuilder::AddItem(</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>, <span class="keywordtype">int</span> item)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <a class="code hl_define" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(CanFitNewItem(<a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>, item));</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> std::vector&lt;int&gt; result = <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>;</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> d = 0; d &lt; bin_dimensions_.size(); ++d) {</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> result[d] += items_[item].dimensions[d];</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> }</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span>}</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> </div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span><span class="keywordtype">int</span> ArcFlowBuilder::GetOrCreateNode(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>) {</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">const</span> <span class="keyword">auto</span>&amp; it = node_indices_.find(<a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>);</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keywordflow">if</span> (it != node_indices_.end()) {</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keywordflow">return</span> it-&gt;second;</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> }</div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = node_indices_.size();</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> node_indices_[<a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>] = <a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>;</div>
2022-01-17 21:42:14 +01:00
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> nodes_.push_back(<a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>);</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>;</div>
2022-01-17 21:42:14 +01:00
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span>}</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> </div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span>ArcFlowGraph ArcFlowBuilder::BuildVectorBinPackingGraph() {</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="comment">// Initialize the DP states map.</span></div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> dp_state_index_.resize(items_.size());</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; items_.size(); ++i) {</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> dp_state_index_[i].resize(items_[i].<a class="code hl_variable" href="arc__flow__builder_8cc.html#a03bbf16021794da27dc482d7eb9fc0d1">demand</a> + 1);</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> }</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> <span class="comment">// Explore all possible DP states (starting from the initial &#39;empty&#39; state),</span></div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="comment">// and remember their ancestry.</span></div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> std::vector&lt;int&gt; zero(bin_dimensions_.size(), 0);</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> dp_states_.push_back(<span class="keyword">new</span> DpState({0, 0, zero, -1, -1}));</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; dp_states_.size(); ++i) {</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> ForwardCreationPass(dp_states_[i]);</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> }</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> </div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="comment">// We can clear the dp_state_index map as it will not be used anymore.</span></div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="comment">// From now on, we will use the dp_states.used_dimensions to store the new</span></div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// labels in the backward pass.</span></div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keyword">const</span> int64_t num_dp_states = NumDpStates();</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> dp_state_index_.clear();</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> </div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="comment">// Backwards pass: &quot;push&quot; the bin dimensions as far as possible.</span></div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_states = dp_states_.size();</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> std::vector&lt;std::pair&lt;int, int&gt;&gt; flat_deps;</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; dp_states_.size(); ++i) {</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <span class="keywordflow">if</span> (dp_states_[i]-&gt;<a class="code hl_variable" href="arc__flow__builder_8cc.html#a260e42164c01b215483de885316fe5d9">up_child</a> != -1) {</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> flat_deps.push_back(std::make_pair(dp_states_[i]-&gt;<a class="code hl_variable" href="arc__flow__builder_8cc.html#a260e42164c01b215483de885316fe5d9">up_child</a>, i));</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> }</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> <span class="keywordflow">if</span> (dp_states_[i]-&gt;<a class="code hl_variable" href="arc__flow__builder_8cc.html#a37a60bd8e1de6871a556b2822884edea">right_child</a> != -1) {</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> flat_deps.push_back(std::make_pair(dp_states_[i]-&gt;<a class="code hl_variable" href="arc__flow__builder_8cc.html#a37a60bd8e1de6871a556b2822884edea">right_child</a>, i));</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> }</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> }</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keyword">const</span> std::vector&lt;int&gt; sorted_work =</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <a class="code hl_function" href="namespaceutil_1_1graph.html#a1b429182836eddf34189e5af39f1e886">util::graph::DenseIntStableTopologicalSortOrDie</a>(num_states, flat_deps);</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> w : sorted_work) {</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> BackwardCompressionPass(w);</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> }</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> </div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="comment">// ForwardCreationPass again, push the bin dimensions as low as possible.</span></div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="keyword">const</span> std::vector&lt;int&gt; source_node = dp_states_[0]-&gt;used_dimensions;</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <span class="comment">// We can now delete the states stored in dp_states_.</span></div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> <a class="code hl_function" href="namespacegtl.html#a4ee3db0c4acaa0f277a0d7006f5ad1e6">gtl::STLDeleteElements</a>(&amp;dp_states_);</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> ForwardCompressionPass(source_node);</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> </div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="comment">// We need to connect all nodes that corresponds to at least one item selected</span></div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="comment">// to the sink node.</span></div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="keyword">const</span> <span class="keywordtype">int</span> sink_node_index = nodes_.size() - 1;</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> node = 1; node &lt; sink_node_index; ++node) {</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> arcs_.insert({node, sink_node_index, -1});</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> }</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> </div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> ArcFlowGraph result;</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> result.arcs.assign(arcs_.begin(), arcs_.end());</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> result.nodes.assign(nodes_.begin(), nodes_.end());</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> result.num_dp_states = num_dp_states;</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span>}</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> </div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span><span class="keywordtype">int</span> ArcFlowBuilder::LookupOrCreateDpState(</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="keywordtype">int</span> item, <span class="keywordtype">int</span> quantity, <span class="keyword">const</span> std::vector&lt;int&gt;&amp; <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>) {</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> VectorIntIntMap&amp; map = dp_state_index_[item][quantity];</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="keyword">const</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="l00243" name="l00243"></a><span class="lineno"> 243</span> map.insert({<a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>, dp_states_.size()}).first-&gt;second;</div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <a class="code hl_function" href="parser_8yy_8cc.html#a33e91cd0cef6786e9e3a27ac67707207">if</a> (<a class="code hl_variable" href="local__search_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> == dp_states_.size()) {</div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> dp_states_.push_back(</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <span class="keyword">new</span> DpState({item, quantity, <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>, -1, -1}));</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> }</div>
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</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="l00249" name="l00249"></a><span class="lineno"> 249</span>}</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> </div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span><span class="keywordtype">void</span> ArcFlowBuilder::ForwardCreationPass(DpState* dp_state) {</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="keyword">const</span> <span class="keywordtype">int</span> item = dp_state-&gt;cur_item_index;</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keyword">const</span> <span class="keywordtype">int</span> quantity = dp_state-&gt;cur_item_quantity;</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a> = dp_state-&gt;used_dimensions;</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <span class="comment">// Explore path up.</span></div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="keywordflow">if</span> (item &lt; items_.size() - 1) {</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> dp_state-&gt;up_child = LookupOrCreateDpState(item + 1, 0, <a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>);</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> dp_state-&gt;up_child = -1;</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> }</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> </div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <span class="comment">// Explore path right.</span></div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="keywordflow">if</span> (quantity &lt; items_[item].<a class="code hl_variable" href="arc__flow__builder_8cc.html#a03bbf16021794da27dc482d7eb9fc0d1">demand</a> &amp;&amp; CanFitNewItem(<a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>, item)) {</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="keyword">const</span> std::vector&lt;int&gt; added = AddItem(<a class="code hl_variable" href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a>, item);</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> dp_state-&gt;right_child = LookupOrCreateDpState(item, quantity + 1, added);</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> dp_state-&gt;right_child = -1;</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> }</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span>}</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> </div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span><span class="keywordtype">void</span> ArcFlowBuilder::BackwardCompressionPass(<span class="keywordtype">int</span> state_index) {</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="comment">// The goal of this function is to fill this.</span></div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> std::vector&lt;int&gt;&amp; result = dp_states_[state_index]-&gt;used_dimensions;</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> </div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="comment">// Inherit our result from the result one step up.</span></div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <span class="keyword">const</span> <span class="keywordtype">int</span> up_index = dp_states_[state_index]-&gt;up_child;</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; result_up =</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> up_index == -1 ? bin_dimensions_ : dp_states_[up_index]-&gt;used_dimensions;</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> result = result_up;</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> </div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <span class="comment">// Adjust our result from the result one step right.</span></div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="keyword">const</span> <span class="keywordtype">int</span> right_index = dp_states_[state_index]-&gt;right_child;</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keywordflow">if</span> (right_index == -1) <span class="keywordflow">return</span>; <span class="comment">// We&#39;re done.</span></div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; result_right =</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> dp_states_[right_index]-&gt;used_dimensions;</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <span class="keyword">const</span> Item&amp; item = items_[dp_states_[state_index]-&gt;cur_item_index];</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> d = 0; d &lt; bin_dimensions_.size(); ++d) {</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> result[d] = <a class="code hl_variable" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(result[d], result_right[d] - item.dimensions[d]);</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> }</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> </div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="comment">// Insert the arc from the node to the &quot;right&quot; node.</span></div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <span class="keyword">const</span> <span class="keywordtype">int</span> node = GetOrCreateNode(result);</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <span class="keyword">const</span> <span class="keywordtype">int</span> right_node = GetOrCreateNode(result_right);</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <a class="code hl_define" href="base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0">DCHECK_NE</a>(node, right_node);</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> arcs_.insert({node, right_node, item.original_index});</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <span class="comment">// Also insert the &#39;dotted&#39; arc from the node to the &quot;up&quot; node (if different).</span></div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <span class="keywordflow">if</span> (result != result_up) {</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="keyword">const</span> <span class="keywordtype">int</span> up_node = GetOrCreateNode(result_up);</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> arcs_.insert({node, up_node, -1});</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> }</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span>}</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> </div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span><span class="comment">// Reverse version of the backward pass.</span></div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span><span class="comment">// Revisit states forward, and relabel nodes with the longest path in each</span></div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span><span class="comment">// dimensions from the source. The only meaningfull difference is that we use</span></div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span><span class="comment">// arcs and nodes, instead of dp_states.</span></div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span><span class="keywordtype">void</span> ArcFlowBuilder::ForwardCompressionPass(</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; source_node) {</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_nodes = node_indices_.size();</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_dims = bin_dimensions_.size();</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> std::set&lt;ArcFlowGraph::Arc&gt; new_arcs;</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> std::vector&lt;std::vector&lt;int&gt;&gt; new_nodes;</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> VectorIntIntMap new_node_indices;</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> std::vector&lt;int&gt; node_remap(num_nodes, -1);</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="comment">// We need to revert the sorting of items as arcs store the original index.</span></div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> std::vector&lt;int&gt; reverse_item_index_map(items_.size(), -1);</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; items_.size(); ++i) {</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> reverse_item_index_map[items_[i].original_index] = i;</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> }</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> </div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> std::vector&lt;std::pair&lt;int, int&gt;&gt; forward_deps;</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> std::vector&lt;std::vector&lt;ArcFlowGraph::Arc&gt;&gt; incoming_arcs(num_nodes);</div>
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<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">ArcFlowGraph::Arc</a>&amp; <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a> : arcs_) {</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> forward_deps.push_back(std::make_pair(<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.source, <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.destination));</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> incoming_arcs[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.destination].push_back(<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>);</div>
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<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> }</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> </div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="keyword">const</span> std::vector&lt;int&gt; sorted_work =</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> <a class="code hl_function" href="namespaceutil_1_1graph.html#a1b429182836eddf34189e5af39f1e886">util::graph::DenseIntStableTopologicalSortOrDie</a>(num_nodes, forward_deps);</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> </div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> <span class="keyword">const</span> <span class="keywordtype">int</span> old_source_node = GetOrCreateNode(source_node);</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> <span class="keyword">const</span> <span class="keywordtype">int</span> old_sink_node = GetOrCreateNode(bin_dimensions_);</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(sorted_work.front(), old_source_node);</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(sorted_work.back(), old_sink_node);</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> </div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> <span class="comment">// Process nodes in order and remap state to max(previous_state + item</span></div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> <span class="comment">// dimensions).</span></div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> w : sorted_work) {</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> std::vector&lt;int&gt; new_used(num_dims, 0);</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <span class="keywordflow">if</span> (w == sorted_work.back()) { <span class="comment">// Do not compress the sink node.</span></div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> new_used = bin_dimensions_;</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">ArcFlowGraph::Arc</a>&amp; <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a> : incoming_arcs[w]) {</div>
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<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <span class="keyword">const</span> <span class="keywordtype">int</span> item =</div>
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<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.item_index == -1 ? -1 : reverse_item_index_map[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.item_index];</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> <span class="keyword">const</span> <span class="keywordtype">int</span> prev_node = node_remap[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.source];</div>
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<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; prev = new_nodes[prev_node];</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> <a class="code hl_define" href="base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0">DCHECK_NE</a>(prev_node, -1);</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> d = 0; d &lt; num_dims; ++d) {</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> <span class="keywordflow">if</span> (item != -1) {</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> new_used[d] =</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(new_used[d], prev[d] + items_[item].<a class="code hl_variable" href="arc__flow__builder_8cc.html#a85d16954ed793ec11f3250a16cab2a36">dimensions</a>[d]);</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> new_used[d] = <a class="code hl_variable" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(new_used[d], prev[d]);</div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> }</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> }</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> }</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> }</div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> <span class="keyword">const</span> <span class="keyword">auto</span>&amp; it = new_node_indices.find(new_used);</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <span class="keywordflow">if</span> (it != new_node_indices.end()) {</div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> node_remap[w] = it-&gt;second;</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> <span class="keyword">const</span> <span class="keywordtype">int</span> new_index = new_nodes.size();</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> new_nodes.push_back(new_used);</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> new_node_indices[new_used] = new_index;</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> node_remap[w] = new_index;</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> }</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> }</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <span class="comment">// Remap arcs.</span></div>
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<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">ArcFlowGraph::Arc</a>&amp; <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a> : arcs_) {</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(node_remap[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.source], -1);</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(node_remap[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.destination], -1);</div>
2022-01-17 21:42:14 +01:00
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> <span class="comment">// Remove loss arcs between merged nodes.</span></div>
2022-03-04 00:11:33 +01:00
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.item_index == -1 &amp;&amp;</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> node_remap[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.source] == node_remap[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.destination])</div>
2022-01-17 21:42:14 +01:00
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> new_arcs.insert(</div>
2022-03-04 00:11:33 +01:00
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> {node_remap[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.source], node_remap[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.destination], <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.item_index});</div>
2022-01-17 21:42:14 +01:00
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> }</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Reduced nodes from &quot;</span> &lt;&lt; num_nodes &lt;&lt; <span class="stringliteral">&quot; to &quot;</span> &lt;&lt; new_nodes.size();</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;Reduced arcs from &quot;</span> &lt;&lt; arcs_.size() &lt;&lt; <span class="stringliteral">&quot; to &quot;</span> &lt;&lt; new_arcs.size();</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> nodes_ = new_nodes;</div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> arcs_ = new_arcs;</div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(node_remap[old_source_node], -1);</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(0, node_remap[old_source_node]);</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(node_remap[old_sink_node], -1);</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(nodes_.size() - 1, node_remap[old_sink_node]);</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span>}</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> </div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span>} <span class="comment">// namespace</span></div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> </div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"><a class="line" href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html#aa35720e78eab1f8a077d383799ebed93"> 393</a></span><span class="keywordtype">bool</span> ArcFlowGraph::Arc::operator&lt;(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html">ArcFlowGraph::Arc</a>&amp; other)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> <span class="keywordflow">if</span> (source != other.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html#a07a87b2e6ed927503e2f95f119c9fc23">source</a>) <span class="keywordflow">return</span> source &lt; other.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html#a07a87b2e6ed927503e2f95f119c9fc23">source</a>;</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> <span class="keywordflow">if</span> (destination != other.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html#a17744967a9eda456c21490b51b74917a">destination</a>) <span class="keywordflow">return</span> destination &lt; other.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html#a17744967a9eda456c21490b51b74917a">destination</a>;</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> <span class="keywordflow">return</span> item_index &lt; other.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html#a0540161270ce77bf9080009fb3263264">item_index</a>;</div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span>}</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> </div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1packing.html#a43c15c357e1f59a9ff10700a5ac7b63e"> 399</a></span><a class="code hl_struct" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html">ArcFlowGraph</a> <a class="code hl_function" href="namespaceoperations__research_1_1packing.html#a43c15c357e1f59a9ff10700a5ac7b63e">BuildArcFlowGraph</a>(</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; bin_dimensions,</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> <span class="keyword">const</span> std::vector&lt;std::vector&lt;int&gt;&gt;&amp; item_dimensions_by_type,</div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> <span class="keyword">const</span> std::vector&lt;int&gt;&amp; demand_by_type) {</div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> ArcFlowBuilder afb(bin_dimensions, item_dimensions_by_type, demand_by_type);</div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> <span class="keywordflow">return</span> afb.BuildVectorBinPackingGraph();</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span>}</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> </div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span>} <span class="comment">// namespace packing</span></div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span>} <span class="comment">// namespace operations_research</span></div>
<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>
<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>
<div class="ttc" id="aarc__flow__builder_8cc_html_a03bbf16021794da27dc482d7eb9fc0d1"><div class="ttname"><a href="arc__flow__builder_8cc.html#a03bbf16021794da27dc482d7eb9fc0d1">demand</a></div><div class="ttdeci">int demand</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8cc_source.html#l00049">arc_flow_builder.cc:49</a></div></div>
<div class="ttc" id="aarc__flow__builder_8cc_html_a260e42164c01b215483de885316fe5d9"><div class="ttname"><a href="arc__flow__builder_8cc.html#a260e42164c01b215483de885316fe5d9">up_child</a></div><div class="ttdeci">int up_child</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8cc_source.html#l00065">arc_flow_builder.cc:65</a></div></div>
<div class="ttc" id="aarc__flow__builder_8cc_html_a37a60bd8e1de6871a556b2822884edea"><div class="ttname"><a href="arc__flow__builder_8cc.html#a37a60bd8e1de6871a556b2822884edea">right_child</a></div><div class="ttdeci">int right_child</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8cc_source.html#l00064">arc_flow_builder.cc:64</a></div></div>
<div class="ttc" id="aarc__flow__builder_8cc_html_a5139ed46ade38540eb6e74fdfe1f6cdf"><div class="ttname"><a href="arc__flow__builder_8cc.html#a5139ed46ade38540eb6e74fdfe1f6cdf">original_index</a></div><div class="ttdeci">int original_index</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8cc_source.html#l00050">arc_flow_builder.cc:50</a></div></div>
<div class="ttc" id="aarc__flow__builder_8cc_html_a6ea315065af0629a9a1918dc6fc200be"><div class="ttname"><a href="arc__flow__builder_8cc.html#a6ea315065af0629a9a1918dc6fc200be">cur_item_index</a></div><div class="ttdeci">int cur_item_index</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8cc_source.html#l00058">arc_flow_builder.cc:58</a></div></div>
<div class="ttc" id="aarc__flow__builder_8cc_html_a85d16954ed793ec11f3250a16cab2a36"><div class="ttname"><a href="arc__flow__builder_8cc.html#a85d16954ed793ec11f3250a16cab2a36">dimensions</a></div><div class="ttdeci">std::vector&lt; int &gt; dimensions</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8cc_source.html#l00048">arc_flow_builder.cc:48</a></div></div>
<div class="ttc" id="aarc__flow__builder_8cc_html_aae42aa6220faf3fb92b61c3fe6c88648"><div class="ttname"><a href="arc__flow__builder_8cc.html#aae42aa6220faf3fb92b61c3fe6c88648">cur_item_quantity</a></div><div class="ttdeci">int cur_item_quantity</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8cc_source.html#l00059">arc_flow_builder.cc:59</a></div></div>
<div class="ttc" id="aarc__flow__builder_8cc_html_ad249426c3cedf4f2cc83386b8d884c00"><div class="ttname"><a href="arc__flow__builder_8cc.html#ad249426c3cedf4f2cc83386b8d884c00">used_dimensions</a></div><div class="ttdeci">std::vector&lt; int &gt; used_dimensions</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8cc_source.html#l00060">arc_flow_builder.cc:60</a></div></div>
<div class="ttc" id="aarc__flow__builder_8h_html"><div class="ttname"><a href="arc__flow__builder_8h.html">arc_flow_builder.h</a></div></div>
2022-03-04 00:11:33 +01:00
<div class="ttc" id="abase_2logging_8h_html_a46e69120fbd3b36e6960e096d23b66f0"><div class="ttname"><a href="base_2logging_8h.html#a46e69120fbd3b36e6960e096d23b66f0">DCHECK_NE</a></div><div class="ttdeci">#define DCHECK_NE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00892">base/logging.h:892</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b"><div class="ttname"><a href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a></div><div class="ttdeci">#define CHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00703">base/logging.h:703</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a7e03ec13560fa94a8fea569960d7efc6"><div class="ttname"><a href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a></div><div class="ttdeci">#define CHECK_GT(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00708">base/logging.h:708</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ab25e01a2942b821d66371fc68d53f2eb"><div class="ttname"><a href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a></div><div class="ttdeci">#define CHECK_NE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00704">base/logging.h:704</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006"><div class="ttname"><a href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a></div><div class="ttdeci">#define DCHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00890">base/logging.h:890</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_afcaa7cadd41741bb855c2ada1d2ef927"><div class="ttname"><a href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a></div><div class="ttdeci">#define VLOG(verboselevel)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00984">base/logging.h:984</a></div></div>
2022-01-17 21:42:14 +01:00
<div class="ttc" id="acommandlineflags_8h_html"><div class="ttname"><a href="commandlineflags_8h.html">commandlineflags.h</a></div></div>
<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>
<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>
2022-03-04 00:11:33 +01:00
<div class="ttc" id="alocal__search_8cc_html_a30b5726116ac85ea64777e5d6e333894"><div class="ttname"><a href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a></div><div class="ttdeci">int arc</div><div class="ttdef"><b>Definition:</b> <a href="local__search_8cc_source.html#l02751">local_search.cc:2751</a></div></div>
<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>
2022-01-17 21:42:14 +01:00
<div class="ttc" id="amap__util_8h_html"><div class="ttname"><a href="map__util_8h.html">map_util.h</a></div></div>
<div class="ttc" id="anamespacegtl_html_a4ee3db0c4acaa0f277a0d7006f5ad1e6"><div class="ttname"><a href="namespacegtl.html#a4ee3db0c4acaa0f277a0d7006f5ad1e6">gtl::STLDeleteElements</a></div><div class="ttdeci">void STLDeleteElements(T *container)</div><div class="ttdef"><b>Definition:</b> <a href="stl__util_8h_source.html#l00372">stl_util.h:372</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1packing_html_a43c15c357e1f59a9ff10700a5ac7b63e"><div class="ttname"><a href="namespaceoperations__research_1_1packing.html#a43c15c357e1f59a9ff10700a5ac7b63e">operations_research::packing::BuildArcFlowGraph</a></div><div class="ttdeci">ArcFlowGraph BuildArcFlowGraph(const std::vector&lt; int &gt; &amp;bin_dimensions, const std::vector&lt; std::vector&lt; int &gt; &gt; &amp;item_dimensions_by_type, const std::vector&lt; int &gt; &amp;demand_by_type)</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8cc_source.html#l00399">arc_flow_builder.cc:399</a></div></div>
<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>
<div class="ttc" id="anamespaceoperations__research_html_a7deeae530369e107f9d91c1a189f451f"><div class="ttname"><a href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">operations_research::Arc</a></div><div class="ttdeci">std::pair&lt; int64_t, int64_t &gt; Arc</div><div class="ttdef"><b>Definition:</b> <a href="search_8cc_source.html#l03434">search.cc:3434</a></div></div>
2022-03-04 00:11:33 +01:00
<div class="ttc" id="anamespaceutil_1_1graph_html_a1b429182836eddf34189e5af39f1e886"><div class="ttname"><a href="namespaceutil_1_1graph.html#a1b429182836eddf34189e5af39f1e886">util::graph::DenseIntStableTopologicalSortOrDie</a></div><div class="ttdeci">std::vector&lt; int &gt; DenseIntStableTopologicalSortOrDie(int num_nodes, const std::vector&lt; std::pair&lt; int, int &gt; &gt; &amp;arcs)</div><div class="ttdef"><b>Definition:</b> <a href="topologicalsorter_8h_source.html#l00526">topologicalsorter.h:526</a></div></div>
2022-01-17 21:42:14 +01:00
<div class="ttc" id="aparser_8yy_8cc_html_a33e91cd0cef6786e9e3a27ac67707207"><div class="ttname"><a href="parser_8yy_8cc.html#a33e91cd0cef6786e9e3a27ac67707207">if</a></div><div class="ttdeci">if(!yyg-&gt;yy_init)</div><div class="ttdef"><b>Definition:</b> <a href="parser_8yy_8cc_source.html#l00965">parser.yy.cc:965</a></div></div>
<div class="ttc" id="astl__util_8h_html"><div class="ttname"><a href="stl__util_8h.html">stl_util.h</a></div></div>
<div class="ttc" id="astructoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc_html"><div class="ttname"><a href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html">operations_research::packing::ArcFlowGraph::Arc</a></div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8h_source.html#l00057">arc_flow_builder.h:57</a></div></div>
<div class="ttc" id="astructoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc_html_a0540161270ce77bf9080009fb3263264"><div class="ttname"><a href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html#a0540161270ce77bf9080009fb3263264">operations_research::packing::ArcFlowGraph::Arc::item_index</a></div><div class="ttdeci">int item_index</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8h_source.html#l00060">arc_flow_builder.h:60</a></div></div>
<div class="ttc" id="astructoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc_html_a07a87b2e6ed927503e2f95f119c9fc23"><div class="ttname"><a href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html#a07a87b2e6ed927503e2f95f119c9fc23">operations_research::packing::ArcFlowGraph::Arc::source</a></div><div class="ttdeci">int source</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8h_source.html#l00058">arc_flow_builder.h:58</a></div></div>
<div class="ttc" id="astructoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc_html_a17744967a9eda456c21490b51b74917a"><div class="ttname"><a href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html#a17744967a9eda456c21490b51b74917a">operations_research::packing::ArcFlowGraph::Arc::destination</a></div><div class="ttdeci">int destination</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8h_source.html#l00059">arc_flow_builder.h:59</a></div></div>
<div class="ttc" id="astructoperations__research_1_1packing_1_1_arc_flow_graph_html"><div class="ttname"><a href="structoperations__research_1_1packing_1_1_arc_flow_graph.html">operations_research::packing::ArcFlowGraph</a></div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8h_source.html#l00056">arc_flow_builder.h:56</a></div></div>
<div class="ttc" id="atopologicalsorter_8h_html"><div class="ttname"><a href="topologicalsorter_8h.html">topologicalsorter.h</a></div></div>
2021-09-30 01:18:45 +02:00
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