CORDIC Sine/Cosine Hardware Core

Rotation-mode CORDIC core implemented in Verilog for computing sin(θ) and cos(θ) using only iterative shift-and-add operations — no hardware multipliers.

Useful as a building block for DSP, communications, and motor-control hardware where multiplier resources are constrained.

How It Works

Each iteration rotates a vector toward the target angle:

• X_{i+1} = X_i − d_i · (Y_i >> i)
• Y_{i+1} = Y_i + d_i · (X_i >> i)
• Z_{i+1} = Z_i − d_i · arctan(2^−i)

where d_i = ±1 is the rotation direction. After N iterations, X_N ≈ K · cos(θ) and Y_N ≈ K · sin(θ), with K ≈ 0.6073.

Implementation

• Verilog RTL (iterative datapath)
• Pre-computed arctan LUT
• Python testbench and accuracy analysis against math.sin / math.cos
• Characterized accuracy vs. iteration depth

Repository Layout

• Coordic/ — Verilog RTL source
• Testing_C/ — Python testbench and verification scripts
• Outputs/ — Simulation outputs and accuracy plots