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<a href="munkres-module.html">Module munkres</a> ::
Class Munkres
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<!-- ==================== CLASS DESCRIPTION ==================== -->
<h1 class="epydoc">Class Munkres</h1><p class="nomargin-top"><span class="codelink"><a href="munkres-pysrc.html#Munkres">source code</a></span></p>
Calculate the Munkres solution to the classical assignment problem.
See the module documentation for usage.
<!-- ==================== INSTANCE METHODS ==================== -->
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<td><span class="summary-sig"><a name="__init__"></a><span class="summary-sig-name">__init__</span>(<span class="summary-sig-arg">self</span>)</span><br />
Create a new instance</td>
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<span class="codelink"><a href="munkres-pysrc.html#Munkres.__init__">source code</a></span>
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<span class="summary-type">list of lists</span>
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<td><span class="summary-sig"><a href="munkres.Munkres-class.html#pad_matrix" class="summary-sig-name">pad_matrix</a>(<span class="summary-sig-arg">self</span>,
<span class="summary-sig-arg">matrix</span>,
<span class="summary-sig-arg">pad_value</span>=<span class="summary-sig-default">0</span>)</span><br />
Pad a possibly non-square matrix to make it square.</td>
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<span class="codelink"><a href="munkres-pysrc.html#Munkres.pad_matrix">source code</a></span>
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<td><span class="summary-sig"><a href="munkres.Munkres-class.html#compute" class="summary-sig-name">compute</a>(<span class="summary-sig-arg">self</span>,
<span class="summary-sig-arg">cost_matrix</span>)</span><br />
Compute the indexes for the lowest-cost pairings between rows and
columns in the database. Returns a list of (row, column) tuples
that can be used to traverse the matrix.</td>
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<span class="codelink"><a href="munkres-pysrc.html#Munkres.compute">source code</a></span>
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<td><span class="summary-sig"><a name="__copy_matrix"></a><span class="summary-sig-name">__copy_matrix</span>(<span class="summary-sig-arg">self</span>,
<span class="summary-sig-arg">matrix</span>)</span><br />
Return an exact copy of the supplied matrix</td>
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<span class="codelink"><a href="munkres-pysrc.html#Munkres.__copy_matrix">source code</a></span>
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<td><span class="summary-sig"><a name="__make_matrix"></a><span class="summary-sig-name">__make_matrix</span>(<span class="summary-sig-arg">self</span>,
<span class="summary-sig-arg">n</span>,
<span class="summary-sig-arg">val</span>)</span><br />
Create an <em>n*x*n</em> matrix, populating it with the specific value.</td>
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<span class="codelink"><a href="munkres-pysrc.html#Munkres.__make_matrix">source code</a></span>
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<td><span class="summary-sig"><a name="__step1"></a><span class="summary-sig-name">__step1</span>(<span class="summary-sig-arg">self</span>)</span><br />
For each row of the matrix, find the smallest element and
subtract it from every element in its row. Go to Step 2.</td>
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<span class="codelink"><a href="munkres-pysrc.html#Munkres.__step1">source code</a></span>
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<span class="summary-type"> </span>
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<td><span class="summary-sig"><a name="__step2"></a><span class="summary-sig-name">__step2</span>(<span class="summary-sig-arg">self</span>)</span><br />
Find a zero (Z) in the resulting matrix. If there is no starred
zero in its row or column, star Z. Repeat for each element in the
matrix. Go to Step 3.</td>
<td align="right" valign="top">
<span class="codelink"><a href="munkres-pysrc.html#Munkres.__step2">source code</a></span>
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<td><span class="summary-sig"><a name="__step3"></a><span class="summary-sig-name">__step3</span>(<span class="summary-sig-arg">self</span>)</span><br />
Cover each column containing a starred zero. If K columns are
covered, the starred zeros describe a complete set of unique
assignments. In this case, Go to DONE, otherwise, Go to Step 4.</td>
<td align="right" valign="top">
<span class="codelink"><a href="munkres-pysrc.html#Munkres.__step3">source code</a></span>
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<td><span class="summary-sig"><a name="__step4"></a><span class="summary-sig-name">__step4</span>(<span class="summary-sig-arg">self</span>)</span><br />
Find a noncovered zero and prime it. If there is no starred zero
in the row containing this primed zero, Go to Step 5. Otherwise,
cover this row and uncover the column containing the starred
zero. Continue in this manner until there are no uncovered zeros
left. Save the smallest uncovered value and Go to Step 6.</td>
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<span class="codelink"><a href="munkres-pysrc.html#Munkres.__step4">source code</a></span>
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<td><span class="summary-sig"><a name="__step5"></a><span class="summary-sig-name">__step5</span>(<span class="summary-sig-arg">self</span>)</span><br />
Construct a series of alternating primed and starred zeros as
follows. Let Z0 represent the uncovered primed zero found in Step 4.
Let Z1 denote the starred zero in the column of Z0 (if any).
Let Z2 denote the primed zero in the row of Z1 (there will always
be one). Continue until the series terminates at a primed zero
that has no starred zero in its column. Unstar each starred zero
of the series, star each primed zero of the series, erase all
primes and uncover every line in the matrix. Return to Step 3</td>
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<span class="codelink"><a href="munkres-pysrc.html#Munkres.__step5">source code</a></span>
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<td><span class="summary-sig"><a name="__step6"></a><span class="summary-sig-name">__step6</span>(<span class="summary-sig-arg">self</span>)</span><br />
Add the value found in Step 4 to every element of each covered
row, and subtract it from every element of each uncovered column.
Return to Step 4 without altering any stars, primes, or covered
lines.</td>
<td align="right" valign="top">
<span class="codelink"><a href="munkres-pysrc.html#Munkres.__step6">source code</a></span>
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<span class="summary-type"> </span>
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<td><span class="summary-sig"><a name="__find_smallest"></a><span class="summary-sig-name">__find_smallest</span>(<span class="summary-sig-arg">self</span>)</span><br />
Find the smallest uncovered value in the matrix.</td>
<td align="right" valign="top">
<span class="codelink"><a href="munkres-pysrc.html#Munkres.__find_smallest">source code</a></span>
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<span class="summary-type"> </span>
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<td><span class="summary-sig"><a name="__find_a_zero"></a><span class="summary-sig-name">__find_a_zero</span>(<span class="summary-sig-arg">self</span>)</span><br />
Find the first uncovered element with value 0</td>
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<span class="codelink"><a href="munkres-pysrc.html#Munkres.__find_a_zero">source code</a></span>
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<span class="summary-type"> </span>
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<td><span class="summary-sig"><a name="__find_star_in_row"></a><span class="summary-sig-name">__find_star_in_row</span>(<span class="summary-sig-arg">self</span>,
<span class="summary-sig-arg">row</span>)</span><br />
Find the first starred element in the specified row. Returns
the column index, or -1 if no starred element was found.</td>
<td align="right" valign="top">
<span class="codelink"><a href="munkres-pysrc.html#Munkres.__find_star_in_row">source code</a></span>
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<span class="summary-type"> </span>
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<td><span class="summary-sig"><a name="__find_star_in_col"></a><span class="summary-sig-name">__find_star_in_col</span>(<span class="summary-sig-arg">self</span>,
<span class="summary-sig-arg">col</span>)</span><br />
Find the first starred element in the specified row. Returns
the row index, or -1 if no starred element was found.</td>
<td align="right" valign="top">
<span class="codelink"><a href="munkres-pysrc.html#Munkres.__find_star_in_col">source code</a></span>
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<td><span class="summary-sig"><a name="__find_prime_in_row"></a><span class="summary-sig-name">__find_prime_in_row</span>(<span class="summary-sig-arg">self</span>,
<span class="summary-sig-arg">row</span>)</span><br />
Find the first prime element in the specified row. Returns
the column index, or -1 if no starred element was found.</td>
<td align="right" valign="top">
<span class="codelink"><a href="munkres-pysrc.html#Munkres.__find_prime_in_row">source code</a></span>
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<td><span class="summary-sig"><a name="__convert_path"></a><span class="summary-sig-name">__convert_path</span>(<span class="summary-sig-arg">self</span>,
<span class="summary-sig-arg">path</span>,
<span class="summary-sig-arg">count</span>)</span></td>
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<span class="codelink"><a href="munkres-pysrc.html#Munkres.__convert_path">source code</a></span>
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<td><span class="summary-sig"><a name="__clear_covers"></a><span class="summary-sig-name">__clear_covers</span>(<span class="summary-sig-arg">self</span>)</span><br />
Clear all covered matrix cells</td>
<td align="right" valign="top">
<span class="codelink"><a href="munkres-pysrc.html#Munkres.__clear_covers">source code</a></span>
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<td><span class="summary-sig"><a name="__erase_primes"></a><span class="summary-sig-name">__erase_primes</span>(<span class="summary-sig-arg">self</span>)</span><br />
Erase all prime markings</td>
<td align="right" valign="top">
<span class="codelink"><a href="munkres-pysrc.html#Munkres.__erase_primes">source code</a></span>
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<!-- ==================== STATIC METHODS ==================== -->
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<td><span class="summary-sig"><a href="munkres.Munkres-class.html#make_cost_matrix" class="summary-sig-name">make_cost_matrix</a>(<span class="summary-sig-arg">profit_matrix</span>,
<span class="summary-sig-arg">inversion_function</span>)</span><br />
<strong>DEPRECATED</strong></td>
<td align="right" valign="top">
<span class="codelink"><a href="munkres-pysrc.html#Munkres.make_cost_matrix">source code</a></span>
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<!-- ==================== METHOD DETAILS ==================== -->
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<a name="make_cost_matrix"></a>
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<h3 class="epydoc"><span class="sig"><span class="sig-name">make_cost_matrix</span>(<span class="sig-arg">profit_matrix</span>,
<span class="sig-arg">inversion_function</span>)</span>
<br /><em class="fname">Static Method</em>
</h3>
</td><td align="right" valign="top"
><span class="codelink"><a href="munkres-pysrc.html#Munkres.make_cost_matrix">source code</a></span>
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<p><strong>DEPRECATED</strong></p>
<p>Please use the module function <tt class="rst-docutils literal">make_cost_matrix()</tt>.</p>
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<a name="pad_matrix"></a>
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<h3 class="epydoc"><span class="sig"><span class="sig-name">pad_matrix</span>(<span class="sig-arg">self</span>,
<span class="sig-arg">matrix</span>,
<span class="sig-arg">pad_value</span>=<span class="sig-default">0</span>)</span>
</h3>
</td><td align="right" valign="top"
><span class="codelink"><a href="munkres-pysrc.html#Munkres.pad_matrix">source code</a></span>
</td>
</tr></table>
Pad a possibly non-square matrix to make it square.
<dl class="fields">
<dt>Parameters:</dt>
<dd><ul class="nomargin-top">
<li><strong class="pname"><code>matrix</code></strong> (list of lists) - matrix to pad</li>
<li><strong class="pname"><code>pad_value</code></strong> (int) - value to use to pad the matrix</li>
</ul></dd>
<dt>Returns: list of lists</dt>
<dd>a new, possibly padded, matrix</dd>
</dl>
</td></tr></table>
</div>
<a name="compute"></a>
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<h3 class="epydoc"><span class="sig"><span class="sig-name">compute</span>(<span class="sig-arg">self</span>,
<span class="sig-arg">cost_matrix</span>)</span>
</h3>
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><span class="codelink"><a href="munkres-pysrc.html#Munkres.compute">source code</a></span>
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Compute the indexes for the lowest-cost pairings between rows and
columns in the database. Returns a list of (row, column) tuples
that can be used to traverse the matrix.
<dl class="fields">
<dt>Parameters:</dt>
<dd><ul class="nomargin-top">
<li><p><strong class="pname"><code>cost_matrix</code></strong> (list of lists) - The cost matrix. If this cost matrix is not square, it
will be padded with zeros, via a call to <tt class="rst-docutils literal">pad_matrix()</tt>.
(This method does <em>not</em> modify the caller's matrix. It
operates on a copy of the matrix.)</p>
<p><strong>WARNING</strong>: This code handles square and rectangular
matrices. It does <em>not</em> handle irregular matrices.</p></li>
</ul></dd>
<dt>Returns: list</dt>
<dd>A list of <tt class="rst-docutils literal">(row, column)</tt> tuples that describe the lowest
cost path through the matrix</dd>
</dl>
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