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<a href="#pub-methods">Public Member Functions</a> &#124;
<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p ><a class="el" href="classoperations__research_1_1_linear_expr.html" title="LinearExpr models a quantity that is linear in the decision variables (MPVariable) of an optimization...">LinearExpr</a> models a quantity that is linear in the decision variables (<a class="el" href="classoperations__research_1_1_m_p_variable.html" title="The class for variables of a Mathematical Programming (MP) model.">MPVariable</a>) of an optimization problem, i.e. </p>
<p >offset + sum_{i in S} a_i*x_i,</p>
<p >where the a_i and offset are constants and the x_i are MPVariables. You can use a <a class="el" href="classoperations__research_1_1_linear_expr.html" title="LinearExpr models a quantity that is linear in the decision variables (MPVariable) of an optimization...">LinearExpr</a> "linear_expr" with an <a class="el" href="classoperations__research_1_1_m_p_solver.html" title="This mathematical programming (MP) solver class is the main class though which users build and solve ...">MPSolver</a> "solver" to:</p><ul>
<li><p class="startli"><a class="el" href="classoperations__research_1_1_set.html">Set</a> as the objective of your optimization problem, e.g.</p>
<p class="startli">solver.MutableObjective()-&gt;MaximizeLinearExpr(linear_expr);</p>
</li>
<li><p class="startli">Create a constraint in your optimization, e.g.</p>
<p class="startli">solver.MakeRowConstraint(linear_expr1 &lt;= linear_expr2);</p>
</li>
<li><p class="startli">Get the value of the quantity after solving, e.g.</p>
<p class="startli"><a class="el" href="namespaceoperations__research_1_1math__opt.html#a5767ee23f380e72488d3c7ebf2d742b1">solver.Solve()</a>; linear_expr.SolutionValue();</p>
</li>
</ul>
<p ><a class="el" href="classoperations__research_1_1_linear_expr.html" title="LinearExpr models a quantity that is linear in the decision variables (MPVariable) of an optimization...">LinearExpr</a> is allowed to delete variables with coefficient zero from the map, but is not obligated to do so. </p>
<p class="definition">Definition at line <a class="el" href="linear__expr_8h_source.html#l00114">114</a> of file <a class="el" href="linear__expr_8h_source.html">linear_expr.h</a>.</p>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-methods" name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a708e7b52aae1fa3c440ef7ced3f06cd9"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#a708e7b52aae1fa3c440ef7ced3f06cd9">LinearExpr</a> ()</td></tr>
<tr class="separator:a708e7b52aae1fa3c440ef7ced3f06cd9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7b163def8264a8ab405bb6069340d2c6"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#a7b163def8264a8ab405bb6069340d2c6">LinearExpr</a> (double <a class="el" href="variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254">constant</a>)</td></tr>
<tr class="memdesc:a7b163def8264a8ab405bb6069340d2c6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Possible implicit conversions are intentional. <a href="classoperations__research_1_1_linear_expr.html#a7b163def8264a8ab405bb6069340d2c6">More...</a><br /></td></tr>
<tr class="separator:a7b163def8264a8ab405bb6069340d2c6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab2ca0acd2e70df1dbf8ec0d516bc7fcc"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#ab2ca0acd2e70df1dbf8ec0d516bc7fcc">LinearExpr</a> (const <a class="el" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a> *<a class="el" href="sat__solver_8cc.html#a8392bdc4ed570e6a95c7fca35b09f83f">var</a>)</td></tr>
<tr class="separator:ab2ca0acd2e70df1dbf8ec0d516bc7fcc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8bf5a8a9a39766ad2665df3918fa16f5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#a8bf5a8a9a39766ad2665df3918fa16f5">operator+=</a> (const <a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> &amp;rhs)</td></tr>
<tr class="separator:a8bf5a8a9a39766ad2665df3918fa16f5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8e15a84c5f3a2689174372cc15e62848"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#a8e15a84c5f3a2689174372cc15e62848">operator-=</a> (const <a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> &amp;rhs)</td></tr>
<tr class="separator:a8e15a84c5f3a2689174372cc15e62848"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a76cff2db2d37cf7bb3853edae5791536"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#a76cff2db2d37cf7bb3853edae5791536">operator*=</a> (double rhs)</td></tr>
<tr class="separator:a76cff2db2d37cf7bb3853edae5791536"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9e9625e3efbde1a73eaf5a49d11487fc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#a9e9625e3efbde1a73eaf5a49d11487fc">operator/=</a> (double rhs)</td></tr>
<tr class="separator:a9e9625e3efbde1a73eaf5a49d11487fc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a32985ab0882c48b374e1d26e0fdf9ce6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#a32985ab0882c48b374e1d26e0fdf9ce6">operator-</a> () const</td></tr>
<tr class="separator:a32985ab0882c48b374e1d26e0fdf9ce6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a96ffc785b7b2135c7980c985883ffdd3"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#a96ffc785b7b2135c7980c985883ffdd3">offset</a> () const</td></tr>
<tr class="separator:a96ffc785b7b2135c7980c985883ffdd3"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:afb42f5cebaf659f1a302d5062a576af0"><td class="memItemLeft" align="right" valign="top">const absl::flat_hash_map&lt; const <a class="el" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a> *, double &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#afb42f5cebaf659f1a302d5062a576af0">terms</a> () const</td></tr>
<tr class="separator:afb42f5cebaf659f1a302d5062a576af0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a1953d5ae154875095008836cd15ab348"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#a1953d5ae154875095008836cd15ab348">SolutionValue</a> () const</td></tr>
<tr class="memdesc:a1953d5ae154875095008836cd15ab348"><td class="mdescLeft">&#160;</td><td class="mdescRight">Evaluates the value of this expression at the solution found. <a href="classoperations__research_1_1_linear_expr.html#a1953d5ae154875095008836cd15ab348">More...</a><br /></td></tr>
<tr class="separator:a1953d5ae154875095008836cd15ab348"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a19c380b03cea21d7ac7325136a131ff0"><td class="memItemLeft" align="right" valign="top">std::string&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#a19c380b03cea21d7ac7325136a131ff0">ToString</a> () const</td></tr>
<tr class="memdesc:a19c380b03cea21d7ac7325136a131ff0"><td class="mdescLeft">&#160;</td><td class="mdescRight">A human readable representation of this. <a href="classoperations__research_1_1_linear_expr.html#a19c380b03cea21d7ac7325136a131ff0">More...</a><br /></td></tr>
<tr class="separator:a19c380b03cea21d7ac7325136a131ff0"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-static-methods" name="pub-static-methods"></a>
Static Public Member Functions</h2></td></tr>
<tr class="memitem:af7090523fa7dfe3329099051940decfc"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_linear_expr.html#af7090523fa7dfe3329099051940decfc">NotVar</a> (<a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> <a class="el" href="sat__solver_8cc.html#a8392bdc4ed570e6a95c7fca35b09f83f">var</a>)</td></tr>
<tr class="memdesc:af7090523fa7dfe3329099051940decfc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns 1-var. <a href="classoperations__research_1_1_linear_expr.html#af7090523fa7dfe3329099051940decfc">More...</a><br /></td></tr>
<tr class="separator:af7090523fa7dfe3329099051940decfc"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a708e7b52aae1fa3c440ef7ced3f06cd9">&#9670;&nbsp;</a></span>LinearExpr() <span class="overload">[1/3]</span></h2>
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<td class="memname"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> </td>
<td>(</td>
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<p class="definition">Definition at line <a class="el" href="linear__expr_8cc_source.html#l00026">26</a> of file <a class="el" href="linear__expr_8cc_source.html">linear_expr.cc</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a7b163def8264a8ab405bb6069340d2c6">&#9670;&nbsp;</a></span>LinearExpr() <span class="overload">[2/3]</span></h2>
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<td class="memname"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> </td>
<td>(</td>
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<td class="paramname"><em>constant</em></td><td>)</td>
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<p>Possible implicit conversions are intentional. </p>
<p class="definition">Definition at line <a class="el" href="linear__expr_8cc_source.html#l00024">24</a> of file <a class="el" href="linear__expr_8cc_source.html">linear_expr.cc</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ab2ca0acd2e70df1dbf8ec0d516bc7fcc">&#9670;&nbsp;</a></span>LinearExpr() <span class="overload">[3/3]</span></h2>
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<td class="memname"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a> *&#160;</td>
<td class="paramname"><em>var</em></td><td>)</td>
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<p class="definition">Definition at line <a class="el" href="linear__expr_8cc_source.html#l00028">28</a> of file <a class="el" href="linear__expr_8cc_source.html">linear_expr.cc</a>.</p>
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<h2 class="groupheader">Member Function Documentation</h2>
<a id="af7090523fa7dfe3329099051940decfc" name="af7090523fa7dfe3329099051940decfc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af7090523fa7dfe3329099051940decfc">&#9670;&nbsp;</a></span>NotVar()</h2>
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<td class="memname"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> NotVar </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a>&#160;</td>
<td class="paramname"><em>var</em></td><td>)</td>
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<p>Returns 1-var. </p>
<p >NOTE(user): if var is binary variable, this corresponds to the logical negation of var. Passing by value is intentional, see the discussion on binary ops. </p>
<p class="definition">Definition at line <a class="el" href="linear__expr_8cc_source.html#l00069">69</a> of file <a class="el" href="linear__expr_8cc_source.html">linear_expr.cc</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a96ffc785b7b2135c7980c985883ffdd3">&#9670;&nbsp;</a></span>offset()</h2>
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<td class="memname">double offset </td>
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<td> const</td>
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<p class="definition">Definition at line <a class="el" href="linear__expr_8h_source.html#l00142">142</a> of file <a class="el" href="linear__expr_8h_source.html">linear_expr.h</a>.</p>
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<a id="a76cff2db2d37cf7bb3853edae5791536" name="a76cff2db2d37cf7bb3853edae5791536"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a76cff2db2d37cf7bb3853edae5791536">&#9670;&nbsp;</a></span>operator*=()</h2>
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<td class="memname"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> &amp; operator*= </td>
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<p class="definition">Definition at line <a class="el" href="linear__expr_8cc_source.html#l00048">48</a> of file <a class="el" href="linear__expr_8cc_source.html">linear_expr.cc</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8bf5a8a9a39766ad2665df3918fa16f5">&#9670;&nbsp;</a></span>operator+=()</h2>
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<td class="paramtype">const <a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> &amp;&#160;</td>
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<p class="definition">Definition at line <a class="el" href="linear__expr_8cc_source.html#l00032">32</a> of file <a class="el" href="linear__expr_8cc_source.html">linear_expr.cc</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a32985ab0882c48b374e1d26e0fdf9ce6">&#9670;&nbsp;</a></span>operator-()</h2>
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<td class="memname"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> operator- </td>
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<p class="definition">Definition at line <a class="el" href="linear__expr_8cc_source.html#l00066">66</a> of file <a class="el" href="linear__expr_8cc_source.html">linear_expr.cc</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8e15a84c5f3a2689174372cc15e62848">&#9670;&nbsp;</a></span>operator-=()</h2>
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<td class="memname"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> &amp; operator-= </td>
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<td class="paramtype">const <a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> &amp;&#160;</td>
<td class="paramname"><em>rhs</em></td><td>)</td>
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<p class="definition">Definition at line <a class="el" href="linear__expr_8cc_source.html#l00040">40</a> of file <a class="el" href="linear__expr_8cc_source.html">linear_expr.cc</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a9e9625e3efbde1a73eaf5a49d11487fc">&#9670;&nbsp;</a></span>operator/=()</h2>
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<td class="memname"><a class="el" href="classoperations__research_1_1_linear_expr.html">LinearExpr</a> &amp; operator/= </td>
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<p class="definition">Definition at line <a class="el" href="linear__expr_8cc_source.html#l00061">61</a> of file <a class="el" href="linear__expr_8cc_source.html">linear_expr.cc</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a1953d5ae154875095008836cd15ab348">&#9670;&nbsp;</a></span>SolutionValue()</h2>
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<td class="memname">double SolutionValue </td>
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<p>Evaluates the value of this expression at the solution found. </p>
<p >It must be called only after calling <a class="el" href="classoperations__research_1_1_m_p_solver.html#acede9075c58cb2f506c99a9fe6f20303" title="Solves the problem using the default parameter values.">MPSolver::Solve</a>. </p>
<p class="definition">Definition at line <a class="el" href="linear__expr_8cc_source.html#l00075">75</a> of file <a class="el" href="linear__expr_8cc_source.html">linear_expr.cc</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#afb42f5cebaf659f1a302d5062a576af0">&#9670;&nbsp;</a></span>terms()</h2>
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<td class="memname">const absl::flat_hash_map&lt; const <a class="el" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a> *, double &gt; &amp; terms </td>
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<p class="definition">Definition at line <a class="el" href="linear__expr_8h_source.html#l00143">143</a> of file <a class="el" href="linear__expr_8h_source.html">linear_expr.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a19c380b03cea21d7ac7325136a131ff0">&#9670;&nbsp;</a></span>ToString()</h2>
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<td class="memname">std::string ToString </td>
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<p>A human readable representation of this. </p>
<p >Variables will be printed in order of lowest index first. </p>
<p class="definition">Definition at line <a class="el" href="linear__expr_8cc_source.html#l00119">119</a> of file <a class="el" href="linear__expr_8cc_source.html">linear_expr.cc</a>.</p>
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<hr/>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="linear__expr_8h_source.html">linear_expr.h</a></li>
<li><a class="el" href="linear__expr_8cc_source.html">linear_expr.cc</a></li>
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