Computer Arithmetic: Algorithms and Hardware Designs

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CSE 246: Computer Arithmetic  Algorithms and Hardware Design Instructor: Prof. Chung-Kuan Cheng Fall 2006 Lecture 11 Cordic, Log, Square,  Exponential Functions
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Project IEEE Computer Society Author Kit  ( 5Pages) Introduction Statement of Problem Approaches Examples Experiments Conclusion 30 Minutes
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Cordic Algorithms Coordinate Rotations Digital Computer Rotate vector (x,y) to (x’,y’) α (x’,y’) (x,y)
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          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
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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 0 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
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  Find         Cordic Algorithms (Example) i i - = 2 tan α 1 . 0 2 . 0 4 . 0 9 . 0 8 . 1 6 . 3 1 . 7 14 6 . 26 45 30 + - + - + + - + - = = α y x y x x - = - = 45 tan 0 y x y x y + = - = 45 tan 0 ( 29 2 / 1 2 0 45 tan 1 + = r ( 29 30 tan
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Cordic Algorithms  
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