- Overflow and underflow are not considered in all functions, which might lead to some infinite loops. - Also, checks are not always made for intermediate over- or underflows, which may occur in the middle of the algorithms although the final result may be representable. For instance, if in the computation of Im (cos(x+i*y)) = -sin(x)*sinh(y) an overflow occurs in sinh(y), the value sign(Im (cos(x+i*y))) * inf is returned, even if sin(x) is sufficiently close to 0 such that sin(x)*sinh(y) is representable. If furthermore an underflow occurred in sin(x) (which has not been observed in practice), then the return value would be NaN*(+-inf)=NaN. Currently, the following functions have been rewritten to solve these problems: mul, norm, sqr