let11-Polynomial Functions

Computer Arithmetic: Algorithms and Hardware Designs

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Unformatted text preview: CSE 246: Computer Arithmetic Algorithms and Hardware Design Instructor: Prof. Chung-Kuan Cheng Fall 2006 Lecture 11 Cordic, Log, Square, Exponential Functions Project IEEE Computer Society Author Kit (≤5Pages) Introduction Statement of Problem Approaches Examples Experiments Conclusion 30 Minutes Cordic Algorithms Coordinate Rotations Digital Computer Rotate vector (x,y) to (x’,y’) α (x’,y’) (x,y) Cordic Algorithms α α tan cos ' y x x- = α α sin cos ' y x x- = α α cos sin ' y x y- = y x y- = α α tan cos ' ( 29 2 / 1 2 tan 1 ' ' α + = r r Key: Given cos α , sin α , tan α we can derive Cordic Algorithms ∑ ≈ i i i s α α { } 1 , 1- + ∈ s i α i 45 1 26.6 2 14 3 7.1 4 3.6 5 1.8 6 0.9 7 0.4 8 0.2 9 0.1 i i- = 2 tan α Find Cordic Algorithms (Example) i i- = 2 tan α 1 . 2 . 4 . 9 ....
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let11-Polynomial Functions - CSE 246 Computer Arithmetic...

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