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We present a simple reform for treating the reported problem ofloss-of-accuracy near the real axis of Humlicek's w4 algorithm, widely used forthe calculation of the Faddeyeva or complex probability function. The reformedroutine maintains the claimed accuracy of the algorithm over a wide and finegrid that covers all the domain of the real part, x, of the complex inputvariable, z=x+iy, and values for the imaginary part in the range y=[10-30,10+30]

A simple reform for treating the loss of accuracy of Humlicek's W4 algorithm near the real axis