Implementation of CORDIC Fast Algorithm in MATLAB

Using MATLAB, we have successfully implemented the CORDIC fast algorithm and achieved rapid computation of mathematical functions including sin(x), cos(x), atan(y/x), and sqrt(x^2+y^2). The implementation employs iterative coordinate rotation with pre-computed arctangent tables, using bit-shift operations for efficient hardware-like computation. We conducted thorough error analysis and included resulting graphs demonstrating the algorithm's precision characteristics. The code is structured with clear modular functions for each operation type and includes configurable iteration parameters. Our research provides significant guidance for determining optimal iteration counts in CORDIC implementations, balancing computational accuracy and resource efficiency. It's important to note that the CORDIC algorithm requires careful attention to implementation details, particularly when handling edge cases and extreme input values, which require special processing routines to maintain numerical stability.