A software module calculates a 3D tool path with integrated reference variable generation for interpolating moving single axes of a precision machine. A precision machine has a control or drive servo-side interface, in order to read in advance for machining calculated files with equitemporal reference variables for interpolating single axes of the precision machine and to stream to the position and/or velocity controller of the respective individual axes. A method calculates a 3D tool path and a component is produced with this precision machine or with such a method.

In a method for calculating reference variables for interpolating moving single axes of a precision machine based on a given 3D tool path firstly for all points of the tool path offline assuming a freely selected path velocity or single-axis velocity, the velocity, acceleration and jerk profiles of all the interpolating axes are calculated cohesively and without specifying limiting values and then velocity, acceleration or jerk profiles are varied on regions on the 3D tool path.