Numerical controller for controlling collision position of cutter tip of tool and workpiece

A numerical controller which controls a machine, which is configured so that a workpiece and a tool are relatively moved for machining by a drive mechanism and a spindle for rotating the tool, based on a machining program for specifying a movement path of the center of the tool, the numerical controller comprising:

• a tool storage unit configured to store tool information including the diameter of the tool and the number of cutter tips attached to the tool;
• a cutter tip information storage unit configured to store usable ranges of the cutter tips and use frequencies in positions within the usable ranges of the cutter tips;
• a workpiece shape data storage unit configured to store workpiece shape data indicative of a shape of the workpiece;
• and
• a compensation unit configured to generate a compensated tool path, which is a compensated version of the tool center path, so that the number of collisions with the workpiece in positions on the cutter tips complies with the use frequencies, based on the tool information, the tool center movement path specified by the machining program, the workpiece shape data, and the cutter tip information.