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26 <div class=
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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"><</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">></span>
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>
33 <span class=
"keyword">template
</span> <span class=
"special"><</span><span class=
"keyword">class
</span> <span class=
"identifier">T
</span><span class=
"special">></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>
36 <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>
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 15. Policies: Controlling Precision, Error Handling etc">Policy
</a><span class=
"special">&);
</span>
39 <span class=
"special">}}
</span> <span class=
"comment">// namespaces
</span>
42 Returns the sine of
<span class=
"emphasis"><em>πx
</em></span>.
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.
50 The final
<a class=
"link" href=
"../../policy.html" title=
"Chapter 15. 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 15. Policies: Controlling Precision, Error Handling etc">policy
53 documentation for more details
</a>.
56 This function performs exact all-integer arithmetic argument reduction before
57 computing the sine of
<span class=
"emphasis"><em>πx
</em></span>.
60 <a name=
"math_toolkit.powers.sin_pi.table_sin_pi"></a><p class=
"title"><b>Table
 6.76.
 Error rates for sin_pi
</b></p>
61 <div class=
"table-contents"><table class=
"table" summary=
"Error rates for sin_pi">
74 Microsoft Visual C++ version
12.0<br> Win32
<br> double
79 GNU C++ version
5.1.0<br> linux
<br> double
84 GNU C++ version
5.1.0<br> linux
<br> long double
89 Sun compiler version
0x5130<br> Sun Solaris
<br> long double
102 <span class=
"blue">Max =
0.99ε (Mean =
0.328ε)
</span>
107 <span class=
"blue">Max =
0ε (Mean =
0ε)
</span>
112 <span class=
"blue">Max =
0.996ε (Mean =
0.335ε)
</span>
117 <span class=
"blue">Max =
0.996ε (Mean =
0.336ε)
</span>
124 sin_pi and cos_pi near integers and half integers
129 <span class=
"blue">Max =
0.996ε (Mean =
0.343ε)
</span>
134 <span class=
"blue">Max =
0ε (Mean =
0ε)
</span>
139 <span class=
"blue">Max =
0.976ε (Mean =
0.293ε)
</span>
144 <span class=
"blue">Max =
0.976ε (Mean =
0.293ε)
</span>
151 <br class=
"table-break">
153 <table xmlns:
rev=
"http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width=
"100%"><tr>
154 <td align=
"left"></td>
155 <td align=
"right"><div class=
"copyright-footer">Copyright
© 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
åde, 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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