‘np.ldexp’ exists mainly for compatibility with the C/C++ functions ldexp, ldexpf, ldexpl, which are defined for float/double/long double. Quoting the C refs:

On binary systems (where FLT_RADIX is 2), ldexp is equivalent to scalbn. The function ldexp ("load exponent"), together with its dual, frexp, can be used to manipulate the representation of a floating-point number without direct bit manipulations. On many implementations, ldexp is less efficient than multiplication or division by a power of two using arithmetic operators.

So in general I do not think that extending ‘np.ldexp’ to complex makes much sense, since it would be peculiar to numpy implementation and destroy the C/C++ equivalence. Stefano