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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"><</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">
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158 Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p>
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