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### sin_pi

    #include <boost/math/special_functions/sin_pi.hpp>

    namespace boost{ namespace math{

    template <class T>
    calculated-result-type sin_pi(T x);

    template <class T, class Policy>
    calculated-result-type sin_pi(T x, const Policy&);

    }} // namespaces

Returns the sine of πx.

The return type of this function is computed using the result type calculation rules: the return is `double` when x is an integer type and T otherwise.

The final Policy argument is optional and can be used to control the behaviour of the function: how it handles errors, what level of precision to use etc. Refer to the policy documentation for more details.

This function performs exact all-integer arithmetic argument reduction before computing the sine of πx.

Table 6.76. Error rates for sin_pi

| Microsoft Visual C++ version 12.0 Win32 double | GNU C++ version 5.1.0 linux double | GNU C++ version 5.1.0 linux long double | Sun compiler version 0x5130 Sun Solaris long double
--- | --- | --- | --- | ---
sin_pi and cos_pi | Max = 0.99ε (Mean = 0.328ε) | Max = 0ε (Mean = 0ε) | Max = 0.996ε (Mean = 0.335ε) | Max = 0.996ε (Mean = 0.336ε)
sin_pi and cos_pi near integers and half integers | Max = 0.996ε (Mean = 0.343ε) | Max = 0ε (Mean = 0ε) | Max = 0.976ε (Mean = 0.293ε) | Max = 0.976ε (Mean = 0.293ε)