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<title>The GNU Fortran Compiler: ACOSH</title>
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<a name="ACOSH"></a>
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<p>
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Next: <a href="ADJUSTL.html#ADJUSTL" accesskey="n" rel="next">ADJUSTL</a>, Previous: <a href="ACOS.html#ACOS" accesskey="p" rel="prev">ACOS</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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<hr>
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<a name="ACOSH-_002d_002d_002d-Inverse-hyperbolic-cosine-function"></a>
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<h3 class="section">9.7 <code>ACOSH</code> — Inverse hyperbolic cosine function</h3>
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<a name="index-ACOSH"></a>
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<a name="index-DACOSH"></a>
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<a name="index-area-hyperbolic-cosine"></a>
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<a name="index-inverse-hyperbolic-cosine"></a>
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<a name="index-hyperbolic-function_002c-cosine_002c-inverse"></a>
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<a name="index-cosine_002c-hyperbolic_002c-inverse"></a>
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<dl compact="compact">
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<dt><em>Description</em>:</dt>
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<dd><p><code>ACOSH(X)</code> computes the inverse hyperbolic cosine of <var>X</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>Elemental 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><p><code>RESULT = ACOSH(X)</code>
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</p>
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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>X</var></td><td width="70%">The type shall be <code>REAL</code> or <code>COMPLEX</code>.</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 return value has the same type and kind as <var>X</var>. If <var>X</var> is
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complex, the imaginary part of the result is in radians and lies between
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<em>0 \leq \Im \acosh(x) \leq \pi</em>.
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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_acosh
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REAL(8), DIMENSION(3) :: x = (/ 1.0, 2.0, 3.0 /)
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WRITE (*,*) ACOSH(x)
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END PROGRAM
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</pre></div>
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</dd>
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<dt><em>Specific names</em>:</dt>
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<dd><table>
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<tr><td width="20%">Name</td><td width="20%">Argument</td><td width="20%">Return type</td><td width="25%">Standard</td></tr>
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<tr><td width="20%"><code>DACOSH(X)</code></td><td width="20%"><code>REAL(8) X</code></td><td width="20%"><code>REAL(8)</code></td><td width="25%">GNU extension</td></tr>
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</table>
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</dd>
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<dt><em>See also</em>:</dt>
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<dd><p>Inverse function: <a href="COSH.html#COSH">COSH</a>
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</p></dd>
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