For many types, the value returned by nroot and sqrt are only
guaranteed to be approximate answers. Thus, many (most?) instances
of NRoot will not be able to ensure that sqrt(x) * sqrt(x) = x.
Also, generally nroots where n is even are not defined for
negative numbers. The behaviour is undefined if this is
attempted.
It would be nice to ensure an exception is raised, but some types
may defer computation and testing if a value is negative may not be
ideal. So, do not count on ArithmeticExceptions to save you from
bad arithmetic!
This is a type class for types with n-roots.
For many types, the value returned by
nrootandsqrtare only guaranteed to be approximate answers. Thus, many (most?) instances of NRoot will not be able to ensure thatsqrt(x) * sqrt(x) = x.Also, generally
nroots wherenis even are not defined for negative numbers. The behaviour is undefined if this is attempted.It would be nice to ensure an exception is raised, but some types may defer computation and testing if a value is negative may not be ideal. So, do not count on
ArithmeticExceptions to save you from bad arithmetic!