MATLAB Source Code for Square Root and Arctangent Operations Using CORDIC Algorithm

The following presents MATLAB source code implementing square root and arctangent operations using the CORDIC algorithm. This original implementation strictly adheres to the standard CORDIC methodology. The CORDIC (Coordinate Rotation Digital Computer) algorithm is widely utilized in digital signal processing (DSP) and embedded systems, employing iterative rotation and shift operations to compute various trigonometric functions efficiently without hardware multipliers. Key implementation features include: - Precision threshold configuration for controlling iteration depth - Iterative vector rotation with pre-computed arctangent values - Sequential approximation for both magnitude (square root) and phase (arctangent) calculations - Hardware-friendly operations using only shifts and additions The program initializes by defining the required computational precision, then processes each input value through multiple CORDIC iterations to compute corresponding square root and arctangent values. This implementation serves as both an educational resource for understanding CORDIC fundamentals and a practical foundation for DSP and embedded system development projects. The code structure demonstrates core CORDIC operations including angle accumulation, vector rotation, and scaling factor compensation.