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<h4 class="subsection">D.15.1 <code>lpsolve</code> calling conventions</h4>

<p>The library is able to solve linear and mixed integer programming
problems, depending on which function is selected. The
<a name="index-linear-programming-804"></a>function to call the linear programming solver is of the form

     <ul>
<li><code>library('lpsolve','stdform')</code>
</ul>

<p class="noindent"><a name="index-mixed-integer-programming-805"></a>and the mixed integer programming functions are of the form

     <ul>
<li><code>library('lpsolve','iform')</code>
<li><code>library('lpsolve','bform')</code>
<li><code>library('lpsolve','biform')</code>
</ul>

<p class="noindent">The argument to the <code>stdform</code> function represents a triple
<code>(</code><var>c</var><code>,(</code><var>m</var><code>,</code><var>y</var><code>))</code>, which has the same interpretation
described in <a href="glpk-input-parameters.html#glpk-input-parameters">glpk input parameters</a>. The arguments to the <code>iform</code>,
<code>bform</code>, and <code>biform</code> functions are tuples
<code>(</code><var>i</var><code>,(</code><var>c</var><code>,(</code><var>m</var><code>,</code><var>y</var><code>)))</code>
<code>(</code><var>b</var><code>,(</code><var>c</var><code>,(</code><var>m</var><code>,</code><var>y</var><code>)))</code>, and
<code>((</code><var>b</var><code>,</code><var>i</var><code>),(</code><var>c</var><code>,(</code><var>m</var><code>,</code><var>y</var><code>)))</code>, respectively, where
<var>c</var>, <var>m</var>, and <var>y</var> are as above, and

     <ul>
<li><var>b</var> is a list of binary variable column indices
<li><var>i</var> is a list of integer variable column indices
</ul>

<p class="noindent">where column indices pertain to the constraint matrix, and are
numbered from zero.  Specifying some or all variables as integers
directs the solver to seek only solutions in which those variables
have integer values, and specifying any as binary directs the solver
to seek only solutions in which those variables have values of zero or
one.  The IEEE floating point representation is used for all variables
regardless (<a href="math.html#math">math</a>).

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