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| <a name="ATANH-_002d_002d_002d-Inverse-hyperbolic-tangent-function"></a> |
| <h3 class="section">8.23 <code>ATANH</code> — Inverse hyperbolic tangent function</h3> |
| <a name="index-ATANH"></a> |
| <a name="index-DATANH"></a> |
| <a name="index-area-hyperbolic-tangent"></a> |
| <a name="index-inverse-hyperbolic-tangent"></a> |
| <a name="index-hyperbolic-function_002c-tangent_002c-inverse"></a> |
| <a name="index-tangent_002c-hyperbolic_002c-inverse"></a> |
| |
| <dl compact="compact"> |
| <dt><em>Description</em>:</dt> |
| <dd><p><code>ATANH(X)</code> computes the inverse hyperbolic tangent of <var>X</var>. |
| </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 = ATANH(X)</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> or <code>COMPLEX</code>.</td></tr> |
| </table> |
| |
| </dd> |
| <dt><em>Return value</em>:</dt> |
| <dd><p>The return value has same type and kind as <var>X</var>. If <var>X</var> is |
| complex, the imaginary part of the result is in radians and lies between |
| <em>-\pi/2 \leq \Im \atanh(x) \leq \pi/2</em>. |
| </p> |
| </dd> |
| <dt><em>Example</em>:</dt> |
| <dd><div class="smallexample"> |
| <pre class="smallexample">PROGRAM test_atanh |
| REAL, DIMENSION(3) :: x = (/ -1.0, 0.0, 1.0 /) |
| WRITE (*,*) ATANH(x) |
| END PROGRAM |
| </pre></div> |
| |
| </dd> |
| <dt><em>Specific names</em>:</dt> |
| <dd><table> |
| <tr><td width="20%">Name</td><td width="20%">Argument</td><td width="20%">Return type</td><td width="25%">Standard</td></tr> |
| <tr><td width="20%"><code>DATANH(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> |
| </table> |
| |
| </dd> |
| <dt><em>See also</em>:</dt> |
| <dd><p>Inverse function: <a href="TANH.html#TANH">TANH</a> |
| </p></dd> |
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