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<title>The GNU Fortran Compiler: HYPOT</title>
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<a name="HYPOT-_002d_002d_002d-Euclidean-distance-function"></a>
<h3 class="section">9.125 <code>HYPOT</code> &mdash; Euclidean distance function</h3>
<a name="index-HYPOT"></a>
<a name="index-Euclidean-distance"></a>
<dl compact="compact">
<dt><em>Description</em>:</dt>
<dd><p><code>HYPOT(X,Y)</code> is the Euclidean distance function. It is equal to
<em>\sqrt{X^2 + Y^2}</em>, without undue underflow or overflow.
</p>
</dd>
<dt><em>Standard</em>:</dt>
<dd><p>Fortran 2008 and later
</p>
</dd>
<dt><em>Class</em>:</dt>
<dd><p>Elemental function
</p>
</dd>
<dt><em>Syntax</em>:</dt>
<dd><p><code>RESULT = HYPOT(X, Y)</code>
</p>
</dd>
<dt><em>Arguments</em>:</dt>
<dd><table>
<tr><td width="15%"><var>X</var></td><td width="70%">The type shall be <code>REAL</code>.</td></tr>
<tr><td width="15%"><var>Y</var></td><td width="70%">The type and kind type parameter shall be the same as
<var>X</var>.</td></tr>
</table>
</dd>
<dt><em>Return value</em>:</dt>
<dd><p>The return value has the same type and kind type parameter as <var>X</var>.
</p>
</dd>
<dt><em>Example</em>:</dt>
<dd><div class="smallexample">
<pre class="smallexample">program test_hypot
real(4) :: x = 1.e0_4, y = 0.5e0_4
x = hypot(x,y)
end program test_hypot
</pre></div>
</dd>
</dl>
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