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FactSet: net_inc_dil_af vs. net_inc_basic_af

Does anyone know how the basic and diluted values of net income are calculated in FactSet?

Normally there's a single net income value and you divide by Shares Outstanding/Issued and Shares Fully Diluted to get the Basic EPS and Fully Diluted EPS. Since FactSet doesn't provide any "per share" metrics, I'm trying to calculate Basic EPS as follows:
net_inc_basic_qf / ((shs_closely_held / shs_closely_held_pct_af) * 100)

But I'm stumped when it comes to interpreting net_inc_dil_af -- does anyone have any insight into how this is calculated? That would me reverse engineer the Fully Diluted EPS.