1. A PROGRAMMING DEVICE WITH ROTARY PROGRAMMING MEANS, COMPRISING: A STEP-BY-STEP DRIVING MECHANISM HAVING AND OUTPUT SHAFT FOR DRIVING SAID PROGRAMMING MEANS; AT LEAST ONE SELECTING CAM MOUNTED ON SAID OUTPUT SHAFT; A MOTOR HAVING TWO DIRECTIONS OF ROTATION WITH A DRIVING PINION KEYED ON THE SHAFT OF SAID MOTOR; A CHANGE-OVER SWITCH OPERATED BY SAID SELECTING CAM AND CONNECTED TO SAID MOTOR FOR THE PURPOSE OF CONTROLLING THE DIRECTION OF ROTATION OF SAID MOTOR; AND TRANSMISSION MEANS FOR OPERATIVELY COUPLING SAID MOTOR TO THE STEPBY-STEP DRIVING MECHANISM AND FORMED, ON THE OTHER HAND, BY A SERIES OF WHEEL-TRAINS COMPRISING TOOTHED WHEELS INTEGRAL WITH PINIONS AND ONE COUNTERSHAFT PINION IN MESH WITH ONE OF SAID TOOTHED WHEELS AND, ON THE OTHER HAND, BY A SUPPORT ROCKING ABOUT AN AXIS WHICH COINCIDES WITH THE SHAFT OF THE MOTOR AND, MOUNTED ON SAID SUPPORT, AN INTERMEDIATE PINION WHICH IS IN MESH WITH THE DRIVING PINION AND WHICH IS CAPABLE OF ENGAGING AUTOMATICALLY, ACCORDING TO THE DIRECTION OF ROTATION OF THE MOTOR, EITHER WITH THE COUNTERSHAFT PINION OR WITH ONE OF SAID TOOTHED WHEELS OTHER THAN THE TOOTHED WHEEL WHICH IS IN MESH WITH SAID COUNTERSHAFT PINION, SO THAT THE WHEEL-TRAINS ARE ALWAYS ABLE TO MOVE IN THE SAME DIRECTION OF ROTATION, IRRESPECTIVE OF THE DIRECTION OF ROTATION OF THE MOTOR, BUT AT DIFFERENT SPEEDS ACCORDING TO THE DIRECTION OF ROTATION OF SAID MOTOR.