Elementary functions: algorithms and implementation
Elementary functions: algorithms and implementation
A New Range-Reduction Algorithm
IEEE Transactions on Computers
High-Radix Logarithm with Selection by Rounding: Algorithm and Implementation
Journal of VLSI Signal Processing Systems
Double-Residue Modular Range Reduction for Floating-Point Hardware Implementations
IEEE Transactions on Computers
Pipelined Architecture for Additive Range Reduction
Journal of Signal Processing Systems
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Range reduction is a crucial step for accuracy in trigonometric functions evaluation. This paper shows and compares a set of algorithms for additive range reduction computation and their corresponding application-specific integrated circuit implementations (ensuring an accuracy of one unit in the last place). A word-serial architecture implementation has been used as a reference for clearer comparisons. Besides, a new tablebased pipelined architecture for range reduction has also been proposed.