arctan2im
arctan2im is a function name that appears in some mathematical software and libraries as a variant of the two-argument arctangent function for complex-valued inputs. It is not a standard mathematical constant or universally defined function, and its exact definition can vary by implementation. In practice, arctan2im is used to compute an angle or phase from a pair of real or complex inputs while attempting to preserve quadrant information in a way analogous to the arctan2 function for real numbers.
In several contexts, arctan2im(a, b) is defined in terms of the complex arctangent or via a division
Properties of arctan2im depend on the chosen convention and the underlying complex-arctan definition. It may yield
Applications of arctan2im appear in areas requiring a two-argument arctangent for complex quantities, such as certain