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| <title>The GNU Fortran Compiler: ASIN</title> |
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| <a name="ASIN-_002d_002d_002d-Arcsine-function"></a> |
| <h3 class="section">9.18 <code>ASIN</code> — Arcsine function</h3> |
| <a name="index-ASIN"></a> |
| <a name="index-DASIN"></a> |
| <a name="index-trigonometric-function_002c-sine_002c-inverse"></a> |
| <a name="index-sine_002c-inverse"></a> |
| |
| <dl compact="compact"> |
| <dt><em>Description</em>:</dt> |
| <dd><p><code>ASIN(X)</code> computes the arcsine of its <var>X</var> (inverse of <code>SIN(X)</code>). |
| </p> |
| </dd> |
| <dt><em>Standard</em>:</dt> |
| <dd><p>Fortran 77 and later, for a complex argument Fortran 2008 or later |
| </p> |
| </dd> |
| <dt><em>Class</em>:</dt> |
| <dd><p>Elemental function |
| </p> |
| </dd> |
| <dt><em>Syntax</em>:</dt> |
| <dd><p><code>RESULT = ASIN(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 either <code>REAL</code> and a magnitude that is |
| less than or equal to one - or be <code>COMPLEX</code>.</td></tr> |
| </table> |
| |
| </dd> |
| <dt><em>Return value</em>:</dt> |
| <dd><p>The return value is of the same type and kind as <var>X</var>. |
| The real part of the result is in radians and lies in the range |
| <em>-\pi/2 \leq \Re \asin(x) \leq \pi/2</em>. |
| </p> |
| </dd> |
| <dt><em>Example</em>:</dt> |
| <dd><div class="smallexample"> |
| <pre class="smallexample">program test_asin |
| real(8) :: x = 0.866_8 |
| x = asin(x) |
| end program test_asin |
| </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>ASIN(X)</code></td><td width="20%"><code>REAL(4) X</code></td><td width="20%"><code>REAL(4)</code></td><td width="25%">Fortran 77 and later</td></tr> |
| <tr><td width="20%"><code>DASIN(X)</code></td><td width="20%"><code>REAL(8) X</code></td><td width="20%"><code>REAL(8)</code></td><td width="25%">Fortran 77 and later</td></tr> |
| </table> |
| |
| </dd> |
| <dt><em>See also</em>:</dt> |
| <dd><p>Inverse function: <a href="SIN.html#SIN">SIN</a> |
| </p> |
| </dd> |
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