construct a complex number using real part and abs data

i have real part and absolute values of a complex number.

is their any built in function to generate back the complex number using real part and absolute value of the complex number ?

or if built in function is not vailable can i use below code

imag_part = sqrt((abs_value)^2 - (real part)^2)

complex_numer = real part + i(imag_part)

Answer 1

[Yongjian Feng]

This is really a math question. When you have the real part and the absolute value, the imaginary part is not determined in general. There are two possible solutions. Basically +/- sqrt((abs_value)^2-(real_part)^2), right?