Real Time C++ | Second Edition [PDF]

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Real Time C++ : efficient object oriented and template microcontroller programming – Book

In this section, we have used polynomial approximations combined with argument reduction and reflection to compute real-valued fixed-point elementary transcendental functions. Excellent results for calculating transcendental function in fixed-point can be obtained from numerous other techniques including table-lookup methods, Taylor series, Newton iteration, Padé approximations, Chebyshev polynomial expansions, CORDIC (COordinate Rotation DIgital Computer) algorithms, etc.

CORDIC algorithms provide efficient shift-and-add methods for computing hyperbolic and trigonometric functions. CORDIC methods are commonly used when the cost of multiplication is significantly higher than addition, subtraction, shift, and table lookup. Fast CORDIC algorithms have the potential disadvantage of requiring large tables, making scalability difficult and resulting in potentially large code size.