Digital processor having instruction set with complex exponential nonlinear function

摘要

A digital processor having an instruction set with a complex exponential function is provided. The digital processor evaluates a complex exponential function with respect to an input value x, obtains a complex exponential software instruction having the input value x as an input, and in response to the complex exponential software instruction, a plurality of complex exponential software By calling at least one complex exponential function unit that implements the instruction, applying the complex exponential function to the input value x, and generating an output corresponding to the complex exponent of the input value x. For an input value x, a complex exponential function wraps the input value to keep a given range, computes a rough approximation angle using a lookup table, and obtains an angle from 0 to θ. It can be evaluated by scaling the coarse approximation angle and calculating a fine correction value using polynomial approximation.