NUMERICALLY CONTROLLED SYSTEM AND NUMERICAL CONTROL METHOD

A numerically controlled system includes a tool path sample point setting unit for forming evaluation data by arranging, virtually, a tool on a given scheduled path locus to come precisely into contact with a processed surface of a processing object and by setting tool path sample points to evaluate a shape of the processed surface, a discontinuity portion extracting unit for extracting a discontinuity portion based on the evaluation data, and a tool position data forming unit including a command speed deciding portion for deciding a command speed at which the tool is moved based on the evaluation data and a tool position deciding portion for deciding the tool position based on the command speed and the shape of the worked surface such that the tool comes into contact with the worked surface, wherein setting of the tool path sample points, extraction of the discontinuity portion, and decision of the tool position are carried out in real time.