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<title>The GNU Fortran Compiler: PARITY</title>
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<a name="PARITY"></a>
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<p>
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Next: <a href="PERROR.html#PERROR" accesskey="n" rel="next">PERROR</a>, Previous: <a href="PACK.html#PACK" accesskey="p" rel="prev">PACK</a>, Up: <a href="Intrinsic-Procedures.html#Intrinsic-Procedures" accesskey="u" rel="up">Intrinsic Procedures</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Option-Index.html#Option-Index" title="Index" rel="index">Index</a>]</p>
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<a name="PARITY-_002d_002d_002d-Reduction-with-exclusive-OR"></a>
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<h3 class="section">9.205 <code>PARITY</code> — Reduction with exclusive OR</h3>
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<a name="index-PARITY"></a>
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<a name="index-Parity"></a>
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<a name="index-Reduction_002c-XOR"></a>
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<a name="index-XOR-reduction"></a>
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<dl compact="compact">
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<dt><em>Description</em>:</dt>
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<dd><p>Calculates the parity, i.e. the reduction using <code>.XOR.</code>,
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of <var>MASK</var> along dimension <var>DIM</var>.
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</p>
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</dd>
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<dt><em>Standard</em>:</dt>
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<dd><p>Fortran 2008 and later
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</p>
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</dd>
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<dt><em>Class</em>:</dt>
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<dd><p>Transformational function
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</p>
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</dd>
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<dt><em>Syntax</em>:</dt>
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<dd><table>
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<tr><td width="80%"><code>RESULT = PARITY(MASK[, DIM])</code></td></tr>
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</table>
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</dd>
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<dt><em>Arguments</em>:</dt>
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<dd><table>
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<tr><td width="15%"><var>LOGICAL</var></td><td width="70%">Shall be an array of type <code>LOGICAL</code></td></tr>
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<tr><td width="15%"><var>DIM</var></td><td width="70%">(Optional) shall be a scalar of type
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<code>INTEGER</code> with a value in the range from 1 to n, where n
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equals the rank of <var>MASK</var>.</td></tr>
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</table>
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</dd>
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<dt><em>Return value</em>:</dt>
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<dd><p>The result is of the same type as <var>MASK</var>.
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</p>
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<p>If <var>DIM</var> is absent, a scalar with the parity of all elements in
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<var>MASK</var> is returned, i.e. true if an odd number of elements is
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<code>.true.</code> and false otherwise. If <var>DIM</var> is present, an array
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of rank <em>n-1</em>, where <em>n</em> equals the rank of <var>ARRAY</var>,
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and a shape similar to that of <var>MASK</var> with dimension <var>DIM</var>
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dropped is returned.
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</p>
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</dd>
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<dt><em>Example</em>:</dt>
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<dd><div class="smallexample">
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<pre class="smallexample">PROGRAM test_sum
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LOGICAL :: x(2) = [ .true., .false. ]
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print *, PARITY(x) ! prints "T" (true).
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END PROGRAM
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</pre></div>
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</dd>
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</dl>
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