Editing CORDIC (section)

=== {{anchor|vectoring mode}} Vectoring mode ===
The rotation-mode algorithm described above can rotate any vector (not only a unit vector aligned along the ''x'' axis) by an angle between −90° and +90°. Decisions on the direction of the rotation depend on <math>\beta_i</math> being positive or negative.

The vectoring-mode of operation requires a slight modification of the algorithm. It starts with a vector whose ''x'' coordinate is positive whereas the ''y'' coordinate is arbitrary. Successive rotations have the goal of rotating the vector to the ''x'' axis (and therefore reducing the ''y'' coordinate to zero). At each step, the value of ''y'' determines the direction of the rotation. The final value of <math>\beta_i</math> contains the total angle of rotation. The final value of ''x'' will be the magnitude of the original vector scaled by ''K''. So, an obvious use of the vectoring mode is the transformation from rectangular to polar coordinates.