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| 23 | <a accesskey="p" href="sinc_pi.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../sinc.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../inv_hyper.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a> | |
| 24 | </div> | |
| 25 | <div class="section"> | |
| 26 | <div class="titlepage"><div><div><h3 class="title"> | |
| 27 | <a name="math_toolkit.sinc.sinhc_pi"></a><a class="link" href="sinhc_pi.html" title="sinhc_pi">sinhc_pi</a> | |
| 28 | </h3></div></div></div> | |
| 29 | <pre class="programlisting"><span class="preprocessor">#include</span> <span class="special"><</span><span class="identifier">boost</span><span class="special">/</span><span class="identifier">math</span><span class="special">/</span><span class="identifier">special_functions</span><span class="special">/</span><span class="identifier">sinhc</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">></span> | |
| 30 | </pre> | |
| 31 | <pre class="programlisting"><span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">></span> | |
| 32 | <a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span> | |
| 33 | ||
| 34 | <span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Chapter 15. Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">></span> | |
| 35 | <a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>calculated-result-type</em></span></a> <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">T</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Chapter 15. Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&);</span> | |
| 36 | ||
| 37 | <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span><span class="special">></span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">></span> | |
| 38 | <span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">x</span><span class="special">);</span> | |
| 39 | ||
| 40 | <span class="keyword">template</span><span class="special"><</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span><span class="special">></span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../policy.html" title="Chapter 15. Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">></span> | |
| 41 | <span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">U</span><span class="special"><</span><span class="identifier">T</span><span class="special">></span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Chapter 15. Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&);</span> | |
| 42 | </pre> | |
| 43 | <p> | |
| 44 | Computes http://mathworld.wolfram.com/SinhcFunction.html <a class="link" href="sinc_overview.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview">the | |
| 45 | Hyperbolic Sinus Cardinal</a> of x: | |
| 46 | </p> | |
| 47 | <pre class="programlisting"><span class="identifier">sinhc_pi</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span> <span class="special">=</span> <span class="identifier">sinh</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span> <span class="special">/</span> <span class="identifier">x</span> | |
| 48 | </pre> | |
| 49 | <p> | |
| 50 | The second form is for complex numbers, quaternions, octonions etc. Taylor | |
| 51 | series are used at the origin to ensure accuracy. | |
| 52 | </p> | |
| 53 | <p> | |
| 54 | The return type of the first form is computed using the <a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result | |
| 55 | type calculation rules</em></span></a> when T is an integer type. | |
| 56 | </p> | |
| 57 | <p> | |
| 58 | The final <a class="link" href="../../policy.html" title="Chapter 15. Policies: Controlling Precision, Error Handling etc">Policy</a> argument is optional and can | |
| 59 | be used to control the behaviour of the function: how it handles errors, | |
| 60 | what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Chapter 15. Policies: Controlling Precision, Error Handling etc">policy | |
| 61 | documentation for more details</a>. | |
| 62 | </p> | |
| 63 | <p> | |
| 64 | <span class="inlinemediaobject"><img src="../../../graphs/sinhc_pi.svg" align="middle"></span> | |
| 65 | </p> | |
| 66 | </div> | |
| 67 | <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> | |
| 68 | <td align="left"></td> | |
| 69 | <td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal, | |
| 70 | Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert | |
| 71 | Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan Råde, Gautam Sewani, | |
| 72 | Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p> | |
| 73 | Distributed under the Boost Software License, Version 1.0. (See accompanying | |
| 74 | file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) | |
| 75 | </p> | |
| 76 | </div></td> | |
| 77 | </tr></table> | |
| 78 | <hr> | |
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