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For arbitrary precision numbers, reciprocal computing algorithms based on Newton iteration is asymptotically the fastest. In this work we provide a refined algorithm based on the Newton reciprocal algorithm by Brent and Zimmermann in their MCA book. The key techniques used in the refinement are D1 balancing, clear specification, remainder operation, and economical multiplication. The refined algorithm...
The design and development of a novel train air brake test instrument is presented in this paper. The instrument is designed with fast proportional valves and air pressure sensors which are controlled by a front embedded system and a supervisory computer. By using PID control algorithm, the instrument can generate the testing air pressure curve automatically to meet the five kinds of train brake valve...
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