MultiplicativeInverse()

T Chusov::Math::MultiplicativeInverse

(

const T &

x

)

A helper function that calculates a multiplicative inversion of a given value of a given type and returns the result.

Template Parameters

T	is a type of an object to be multiplicatively inverted. See remarks to the requirements for the type.

Parameters

x	is an object to be inverted.

Returns

A result of the inversion.

If the type T is a class type which defines the method MultiplicativeInverse which, if applied to a const-qualified object of the type T, yields a new object of the type T, then the function simply calls that method and returns the result.

Otherwise, if the expression

T(Chusov::Math::multiplicative_identity) / x

, where x is a value of type the T which is not an additive identity of T, is well-formed, the function evaluates the result of the expression and returns it as-is. This covers the cases for all C++ fundamental arithmetic types, for which std::is_arithmetic <T>::value is true.

Examples

chsvmath\algebraic_traits.cpp.