189 lines
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189 lines
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<div class="headertitle"><div class="title">lp_print_utils.cc</div></div>
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<a href="lp__print__utils_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>
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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">#include "<a class="code" href="lp__print__utils_8h.html">ortools/lp_data/lp_print_utils.h</a>"</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <cstdio></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <limits></span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include "absl/strings/str_cat.h"</span></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include "<a class="code" href="integral__types_8h.html">ortools/base/integral_types.h</a>"</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include "<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>"</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include "<a class="code" href="lp__types_8h.html">ortools/lp_data/lp_types.h</a>"</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include "<a class="code" href="rational__approximation_8h.html">ortools/util/rational_approximation.h</a>"</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
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<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"> 28</span><span class="keyword">namespace </span>glop {</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="comment">// Returns a string "num/den" representing the rational approximation of x.</span></div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment">// The absolute difference between the output fraction and the input "x" will</span></div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="comment">// not exceed "precision".</span></div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1glop.html#a678748f91bc4a57c372e1d3a57763e15"> 33</a></span>std::string <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#a678748f91bc4a57c372e1d3a57763e15">StringifyRational</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x, <span class="keyword">const</span> <span class="keywordtype">double</span> precision) {</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">if</span> (x == <a class="code hl_variable" href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">kInfinity</a>) {</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keywordflow">return</span> <span class="stringliteral">"inf"</span>;</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x == -<a class="code hl_variable" href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">kInfinity</a>) {</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">return</span> <span class="stringliteral">"-inf"</span>;</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> }</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <a class="code hl_typedef" href="namespaceoperations__research.html#aedcf71e1bf956d77554271728d32f9a2">Fraction</a> fraction = <a class="code hl_function" href="namespaceoperations__research.html#a670125c5edf58c4523486795335cb9ae">RationalApproximation</a>(x, precision);</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">const</span> int64_t numerator = fraction.first;</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">const</span> int64_t denominator = fraction.second;</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">return</span> denominator == 1 ? absl::StrCat(numerator)</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> : absl::StrCat(numerator, <span class="stringliteral">"/"</span>, denominator);</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span>}</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1glop.html#a36e54e6744a2e1a24f3844f6b5b56044"> 46</a></span>std::string <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#a36e54e6744a2e1a24f3844f6b5b56044">Stringify</a>(<span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> x, <span class="keywordtype">bool</span> fraction) {</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">return</span> fraction ? <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#a678748f91bc4a57c372e1d3a57763e15">StringifyRational</a>(<a class="code hl_function" href="namespaceoperations__research_1_1glop.html#afd6d278f9d061a91716c6770f2d723e8">ToDouble</a>(x),</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> std::numeric_limits<double>::epsilon())</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> : <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#a36e54e6744a2e1a24f3844f6b5b56044">Stringify</a>(x);</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> </div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment">// Returns a string that pretty-prints a monomial ax with coefficient</span></div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="comment">// a and variable name x</span></div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1glop.html#a093fe5e10e710a17a68c2472f0a69f5e"> 54</a></span>std::string <a class="code hl_function" href="namespaceoperations__research_1_1glop.html#a093fe5e10e710a17a68c2472f0a69f5e">StringifyMonomial</a>(<span class="keyword">const</span> <a class="code hl_typedef" href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">Fractional</a> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <span class="keyword">const</span> std::string& x,</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordtype">bool</span> fraction) {</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a> == 0.0) <span class="keywordflow">return</span> <span class="stringliteral">""</span>;</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a> > 0.0</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> ? absl::StrCat(</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="stringliteral">" + "</span>,</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a> == 1.0 ? x : absl::StrCat(<a class="code hl_function" href="namespaceoperations__research_1_1glop.html#a36e54e6744a2e1a24f3844f6b5b56044">Stringify</a>(<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, fraction), <span class="stringliteral">" "</span>, x))</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> : absl::StrCat(</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="stringliteral">" - "</span>, <a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a> == -1.0</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> ? x</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> : absl::StrCat(<a class="code hl_function" href="namespaceoperations__research_1_1glop.html#a36e54e6744a2e1a24f3844f6b5b56044">Stringify</a>(-<a class="code hl_variable" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, fraction), <span class="stringliteral">" "</span>, x));</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span>}</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span>} <span class="comment">// namespace glop</span></div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span>} <span class="comment">// namespace operations_research</span></div>
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<div class="ttc" id="abase_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</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="aintegral__types_8h_html"><div class="ttname"><a href="integral__types_8h.html">integral_types.h</a></div></div>
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<div class="ttc" id="alp__print__utils_8h_html"><div class="ttname"><a href="lp__print__utils_8h.html">lp_print_utils.h</a></div></div>
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<div class="ttc" id="alp__types_8h_html"><div class="ttname"><a href="lp__types_8h.html">lp_types.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a093fe5e10e710a17a68c2472f0a69f5e"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a093fe5e10e710a17a68c2472f0a69f5e">operations_research::glop::StringifyMonomial</a></div><div class="ttdeci">std::string StringifyMonomial(const Fractional a, const std::string &x, bool fraction)</div><div class="ttdef"><b>Definition:</b> <a href="lp__print__utils_8cc_source.html#l00054">lp_print_utils.cc:54</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a36e54e6744a2e1a24f3844f6b5b56044"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a36e54e6744a2e1a24f3844f6b5b56044">operations_research::glop::Stringify</a></div><div class="ttdeci">std::string Stringify(const Fractional x, bool fraction)</div><div class="ttdef"><b>Definition:</b> <a href="lp__print__utils_8cc_source.html#l00046">lp_print_utils.cc:46</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a678748f91bc4a57c372e1d3a57763e15"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a678748f91bc4a57c372e1d3a57763e15">operations_research::glop::StringifyRational</a></div><div class="ttdeci">std::string StringifyRational(const double x, const double precision)</div><div class="ttdef"><b>Definition:</b> <a href="lp__print__utils_8cc_source.html#l00033">lp_print_utils.cc:33</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_a733947145e3e1631165b618b05c9ccb7"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#a733947145e3e1631165b618b05c9ccb7">operations_research::glop::Fractional</a></div><div class="ttdeci">double Fractional</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00078">lp_types.h:78</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_af9a790b7e8c5b0c6d55b336177378e78"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#af9a790b7e8c5b0c6d55b336177378e78">operations_research::glop::kInfinity</a></div><div class="ttdeci">const double kInfinity</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00084">lp_types.h:84</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1glop_html_afd6d278f9d061a91716c6770f2d723e8"><div class="ttname"><a href="namespaceoperations__research_1_1glop.html#afd6d278f9d061a91716c6770f2d723e8">operations_research::glop::ToDouble</a></div><div class="ttdeci">static double ToDouble(double f)</div><div class="ttdef"><b>Definition:</b> <a href="lp__types_8h_source.html#l00069">lp_types.h:69</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="anamespaceoperations__research_html_a670125c5edf58c4523486795335cb9ae"><div class="ttname"><a href="namespaceoperations__research.html#a670125c5edf58c4523486795335cb9ae">operations_research::RationalApproximation</a></div><div class="ttdeci">Fraction RationalApproximation(const double x, const double precision)</div><div class="ttdef"><b>Definition:</b> <a href="rational__approximation_8cc_source.html#l00026">rational_approximation.cc:26</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_html_aedcf71e1bf956d77554271728d32f9a2"><div class="ttname"><a href="namespaceoperations__research.html#aedcf71e1bf956d77554271728d32f9a2">operations_research::Fraction</a></div><div class="ttdeci">std::pair< int64_t, int64_t > Fraction</div><div class="ttdef"><b>Definition:</b> <a href="rational__approximation_8h_source.html#l00026">rational_approximation.h:26</a></div></div>
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<div class="ttc" id="arational__approximation_8h_html"><div class="ttname"><a href="rational__approximation_8h.html">rational_approximation.h</a></div></div>
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