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 π x.

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 π⋅x.

Table 8.79. Error rates for sin_pi

	GNU C++ version 7.1.0 linux double	GNU C++ version 7.1.0 linux long double	Sun compiler version 0x5150 Sun Solaris long double	Microsoft Visual C++ version 14.1 Win32 double
sin_pi and cos_pi	Max = 0ε (Mean = 0ε)	Max = 0.996ε (Mean = 0.335ε)	Max = 0.996ε (Mean = 0.336ε)	Max = 0.99ε (Mean = 0.328ε)
sin_pi and cos_pi near integers and half integers	Max = 0ε (Mean = 0ε)	Max = 0.976ε (Mean = 0.293ε)	Max = 0.976ε (Mean = 0.293ε)	Max = 0.996ε (Mean = 0.343ε)