The author delves into the concept of Chebyshev approximation, emphasizing its importance in efficient mathematical computation on embedded systems. Amy and Bill’s cases illustrate the need for accurate results with minimal CPU power. Taylor series approximations are explored, revealing limitations in accuracy and range. The author then presents polynomial approximations as a more effective method, showcasing two successful attempts. Additionally, lookup tables and linear interpolation are discussed as alternative approaches. The error graphs highlight the benefits of well-designed function approximations. This content challenges traditional methods of function evaluation, offering innovative and practical solutions for embedded system computation.
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