ceph/src/boost/libs/math/doc/html/math_toolkit/powers/sin_pi.html

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  26 <div class="titlepage"><div><div><h3 class="title">
  27 <a name="math_toolkit.powers.sin_pi"></a><a class="link" href="sin_pi.html" title="sin_pi">sin_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">sin_pi</span><span class="special">.</span><span class="identifier">hpp</span><span class="special">&gt;</span>
  30 </pre>
  31 <pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
  32
  33 <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>
  34 <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">sin_pi</span><span class="special">(</span><span class="identifier">T</span> <span class="identifier">x</span><span class="special">);</span>
  35
  36 <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;15.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
  37 <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">sin_pi</span><span class="special">(</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;15.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&amp;);</span>
  38
  39 <span class="special">}}</span> <span class="comment">// namespaces</span>
  40 </pre>
  41 <p>
  42         Returns the sine of <span class="emphasis"><em>&#960;x</em></span>.
  43       </p>
  44 <p>
  45         The return type of this function is computed using the <a class="link" href="../result_type.html" title="Calculation of the Type of the Result"><span class="emphasis"><em>result
  46         type calculation rules</em></span></a>: the return is <code class="computeroutput"><span class="keyword">double</span></code>
  47         when <span class="emphasis"><em>x</em></span> is an integer type and T otherwise.
  48       </p>
  49 <p>
  50         The final <a class="link" href="../../policy.html" title="Chapter&#160;15.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a> argument is optional and can
  51         be used to control the behaviour of the function: how it handles errors,
  52         what level of precision to use etc. Refer to the <a class="link" href="../../policy.html" title="Chapter&#160;15.&#160;Policies: Controlling Precision, Error Handling etc">policy
  53         documentation for more details</a>.
  54       </p>
  55 <p>
  56         This function performs exact all-integer arithmetic argument reduction before
  57         computing the sine of <span class="emphasis"><em>&#960;x</em></span>.
  58       </p>
  59 <div class="table">
  60 <a name="math_toolkit.powers.sin_pi.table_sin_pi"></a><p class="title"><b>Table&#160;6.76.&#160;Error rates for sin_pi</b></p>
  61 <div class="table-contents"><table class="table" summary="Error rates for sin_pi">
  62 <colgroup>
  63 <col>
  64 <col>
  65 <col>
  66 <col>
  67 <col>
  68 </colgroup>
  69 <thead><tr>
  70 <th>
  71               </th>
  72 <th>
  73                 <p>
  74                   Microsoft Visual C++ version 12.0<br> Win32<br> double
  75                 </p>
  76               </th>
  77 <th>
  78                 <p>
  79                   GNU C++ version 5.1.0<br> linux<br> double
  80                 </p>
  81               </th>
  82 <th>
  83                 <p>
  84                   GNU C++ version 5.1.0<br> linux<br> long double
  85                 </p>
  86               </th>
  87 <th>
  88                 <p>
  89                   Sun compiler version 0x5130<br> Sun Solaris<br> long double
  90                 </p>
  91               </th>
  92 </tr></thead>
  93 <tbody>
  94 <tr>
  95 <td>
  96                 <p>
  97                   sin_pi and cos_pi
  98                 </p>
  99               </td>
 100 <td>
 101                 <p>
 102                   <span class="blue">Max = 0.99&#949; (Mean = 0.328&#949;)</span>
 103                 </p>
 104               </td>
 105 <td>
 106                 <p>
 107                   <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
 108                 </p>
 109               </td>
 110 <td>
 111                 <p>
 112                   <span class="blue">Max = 0.996&#949; (Mean = 0.335&#949;)</span>
 113                 </p>
 114               </td>
 115 <td>
 116                 <p>
 117                   <span class="blue">Max = 0.996&#949; (Mean = 0.336&#949;)</span>
 118                 </p>
 119               </td>
 120 </tr>
 121 <tr>
 122 <td>
 123                 <p>
 124                   sin_pi and cos_pi near integers and half integers
 125                 </p>
 126               </td>
 127 <td>
 128                 <p>
 129                   <span class="blue">Max = 0.996&#949; (Mean = 0.343&#949;)</span>
 130                 </p>
 131               </td>
 132 <td>
 133                 <p>
 134                   <span class="blue">Max = 0&#949; (Mean = 0&#949;)</span>
 135                 </p>
 136               </td>
 137 <td>
 138                 <p>
 139                   <span class="blue">Max = 0.976&#949; (Mean = 0.293&#949;)</span>
 140                 </p>
 141               </td>
 142 <td>
 143                 <p>
 144                   <span class="blue">Max = 0.976&#949; (Mean = 0.293&#949;)</span>
 145                 </p>
 146               </td>
 147 </tr>
 148 </tbody>
 149 </table></div>
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 154 <td align="left"></td>
 155 <td align="right"><div class="copyright-footer">Copyright &#169; 2006-2010, 2012-2014 Nikhar Agrawal,
 156       Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert
 157       Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan R&#229;de, Gautam Sewani,
 158       Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p>
 159         Distributed under the Boost Software License, Version 1.0. (See accompanying
 160         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>)
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