Computations of Dual Numbers in the Extended Finite Dual Plane

摘要

Abstract The numerical computational aspects of dual numbers in the CH programming language are presented in this paper. Dual is a built-in data type in CH. Dual numbers and dual metanumbers are described in the extended dual plane and extended finite dual plane. The arithmetic and relational operations, and built-in mathematical functions are defined for both dual numbers and dual metanumbers of DualZero, DualInf, and DualNaN. Due to polymorphism, the syntax of dual arithmetic and relational operations, and built-in dual functions are the same as those for real and complex numbers in the CH programming language. The linguistic features and handling of user’s dual functions and dual arrays, as well as applications of dual numbers in robotics and spatial mechanisms in the CH programming language can be found in (Cheng, 1993c).