Abstract: A numerical controller has a first axis (reference axis) and a second axis (superimposed axis), and performs superimposed control which superimposes a movement amount of the reference axis on a movement amount of the superimposed axis, and thereby controls the movement of the superimposed axis. The numerical controller controls an acceleration start time of the axis to be accelerated, in a superimposition interval in which the reference axis is accelerated and the superimposed axis is decelerated (or reference axis is decelerated and superimposed axis is accelerated). After the axis to be decelerated is sufficiently decelerated, the axis to be accelerated is accelerated, and a moving speed of the superimposed axis does not exceed a speed limit of a machine in an acceleration/deceleration interval.

Abstract: A numerical controller configured for operation based on tabular data identifies a control command, calculates an operating time to achieve a target state for the control command, determines a time, an axis position, or a spindle position, which serves as a reference for the start of the operation, and starts the operation.

Abstract: In a numerical control device, a command read out unit sequentially reads out time or a position of an axis or a spindle which is a reference and a position of a different axis or spindle from the axis or the spindle which is the reference or an auxiliary function that are stored in a storage unit. A selection unit selects a processing unit that processes a command which is read out by the command read out unit on the basis of a definition set by a definition unit. The definition unit defines commands executed by each processing unit.