Computer calculates the tool path based on the tool nose radius.
Control calculates the tool path using a tool with no radius.
So you have to input the radius and the radius location in the machine.
If you want to use g41 or g42 use control.
If not using g41 ,g42 use computer but make sure when you select the tool your using it has the same tool nose radius your using. I always use computer for lathe work.