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| <a name="PARITY-_002d_002d_002d-Reduction-with-exclusive-OR"></a> |
| <h3 class="section">9.204 <code>PARITY</code> — Reduction with exclusive OR</h3> |
| <a name="index-PARITY"></a> |
| <a name="index-Parity"></a> |
| <a name="index-Reduction_002c-XOR"></a> |
| <a name="index-XOR-reduction"></a> |
| |
| <dl compact="compact"> |
| <dt><em>Description</em>:</dt> |
| <dd><p>Calculates the parity, i.e. the reduction using <code>.XOR.</code>, |
| of <var>MASK</var> along dimension <var>DIM</var>. |
| </p> |
| </dd> |
| <dt><em>Standard</em>:</dt> |
| <dd><p>Fortran 2008 and later |
| </p> |
| </dd> |
| <dt><em>Class</em>:</dt> |
| <dd><p>Transformational function |
| </p> |
| </dd> |
| <dt><em>Syntax</em>:</dt> |
| <dd><table> |
| <tr><td width="80%"><code>RESULT = PARITY(MASK[, DIM])</code></td></tr> |
| </table> |
| |
| </dd> |
| <dt><em>Arguments</em>:</dt> |
| <dd><table> |
| <tr><td width="15%"><var>LOGICAL</var></td><td width="70%">Shall be an array of type <code>LOGICAL</code></td></tr> |
| <tr><td width="15%"><var>DIM</var></td><td width="70%">(Optional) shall be a scalar of type |
| <code>INTEGER</code> with a value in the range from 1 to n, where n |
| equals the rank of <var>MASK</var>.</td></tr> |
| </table> |
| |
| </dd> |
| <dt><em>Return value</em>:</dt> |
| <dd><p>The result is of the same type as <var>MASK</var>. |
| </p> |
| <p>If <var>DIM</var> is absent, a scalar with the parity of all elements in |
| <var>MASK</var> is returned, i.e. true if an odd number of elements is |
| <code>.true.</code> and false otherwise. If <var>DIM</var> is present, an array |
| of rank <em>n-1</em>, where <em>n</em> equals the rank of <var>ARRAY</var>, |
| and a shape similar to that of <var>MASK</var> with dimension <var>DIM</var> |
| dropped is returned. |
| </p> |
| </dd> |
| <dt><em>Example</em>:</dt> |
| <dd><div class="smallexample"> |
| <pre class="smallexample">PROGRAM test_sum |
| LOGICAL :: x(2) = [ .true., .false. ] |
| print *, PARITY(x) ! prints "T" (true). |
| END PROGRAM |
| </pre></div> |
| </dd> |
| </dl> |
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