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  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">&lt;</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">&gt;</span>
  30 </pre>
  31 <pre class="programlisting"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">&gt;</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">&lt;</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&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</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&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&amp;);</span>
  36
  37 <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span><span class="special">&gt;</span> <span class="keyword">class</span> <span class="identifier">U</span><span class="special">&gt;</span>
  38 <span class="identifier">U</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;</span> <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">U</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;</span> <span class="identifier">x</span><span class="special">);</span>
  39
  40 <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">T</span><span class="special">,</span> <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span><span class="special">&gt;</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&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
  41 <span class="identifier">U</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;</span> <span class="identifier">sinhc_pi</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">U</span><span class="special">&lt;</span><span class="identifier">T</span><span class="special">&gt;</span> <span class="identifier">x</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="../../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&amp;);</span>
  42 </pre>
  43 <p>
  44         Computes <a href="http://mathworld.wolfram.com/SinhcFunction.html" target="_top">sinhc
  45         function</a>, the <a class="link" href="sinc_overview.html" title="Sinus Cardinal and Hyperbolic Sinus Cardinal Functions Overview">Hyperbolic
  46         Sinus Cardinal</a> of x:
  47       </p>
  48 <div class="blockquote"><blockquote class="blockquote"><p>
  49           <span class="serif_italic">sinhc_pi(x) = sinh(x) / x</span>
  50         </p></blockquote></div>
  51 <p>
  52         The second form is for complex numbers, quaternions, octonions etc. Taylor
  53         series are used at the origin to ensure accuracy.
  54       </p>
  55 <p>
  56         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
  57         type calculation rules</em></span></a> when T is an integer type.
  58       </p>
  59 <p>
  60         The final <a class="link" href="../../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a> argument is optional and can
  61         be used to control the behaviour of the function: how it handles errors,
  62         what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">policy
  63         documentation for more details</a>.
  64       </p>
  65 <div class="blockquote"><blockquote class="blockquote"><p>
  66           <span class="inlinemediaobject"><img src="../../../graphs/sinhc_pi.svg" align="middle"></span>
  67
  68         </p></blockquote></div>
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  76       Daryle Walker and Xiaogang Zhang<p>
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