The present invention provides an apparatus and method for providing a programmable inverse discrete cosine transform, wherein the transform coefficients are loaded into a memory area of a core transform device and a variety of coding standards can thereby be handled by the same programmable core device. A determination is made whether there is inconsistency between detection values of two pressure detectors for detecting a pressure in the master cylinder and a detection value of a stroke detector for detecting a stepping-on stroke of a brake pedal. Various devices are used to compare distances between the reference marks to distances between corresponding components and synchronize a feed rate of the components to a feed rate of the first layer.