Power and Area-Efficient Unified Computation of Vector and Elementary Functions for Handheld 3D Graphics Systems

A unified computation method of vector and elementary functions is proposed for handheld 3D graphics systems. It unifies vector operations like vector multiply, multiply-and-add, divide, divide-by-square-root, and dot product and elementary functions like trigonometric, inverse trigonometric, hyperbolic, inverse hyperbolic, power (xy with two variables), and logarithm to an arbitrary base into a single four-way arithmetic platform. A number system called the fixed-point hybrid number system (FXP-HNS), which combines the fixed-point number system (FXP) and the logarithmic number system (LNS), is proposed for the power and area-efficient unification. Power and area-efficient logarithmic and antilogarithmic conversion schemes are also proposed for the data conversions between fixed-point and logarithmic numbers in the FXP-HNS and achieve 0.41 percent and 0.08 percent maximum conversion errors, respectively. The unified arithmetic unit based on the proposed schemes is presented with less t...

• Type: Journal
• Year: 2008
• Where: TC
• Authors: Byeong-Gyu Nam, Hyejung Kim, Hoi-Jun Yoo
• Keywords: Elementary Functions, Fixed-point Hybrid Number, Information Technology, Logarithmic Numbers, TC 2008