No abstract

Although Radix-10 based arithmetic has been gaining renewed importance over the last few years, decimal systems are not efficient enough and techniques are still under development. In this paper, a modification of the CORDIC method for decimal arithmetic is proposed and applied to produce fast rotations. The algorithm uses BCD operands as inputs, combining the advantages both decimal and binary systems. The result is an important number of iterations reduction compared with the original decimal CORDIC method. Finally, a FPGA-based radix-10 architecture that can be used to produce rotations with more precision and speed is presented and different experiments showing the advantages of the new method are shown.

Tool path generation is one of the most complex problems in Computer Aided Manufacturing. Although some efficient strategies have been developed, most of them are only useful for standard machining. The algorithm called Virtual Digitizing avoids this problem by its own definition but its computing cost is high and make it difficult for being integrated in standard machining in order to adopt the new ISO standard 14649. Presented in the paper there is a Virtual Digitizing architecture that takes the advantages of Reconfigurable Computing (using Field Programmable Gate Arrays) in order to improve the algorithm efficiency. FPGAs are used as low cost and low frequency coprocessor to accelerate the calculation of tool path, meeting the actual restrictions of the Computer Numeric Controls (CNCs) at the same time. A prototype has been implemented to measure the real impact on the total computing time.