Hardware implementation of elementary functions in computers,

Leningrad State University, 1975, 96p.



Convergence Analysis of CORDIC 

The demonstration  of the “double iterations“ (radix=2) necessity  for arcsin and arccos functions evaluation.

”Double iterations” for ln and exp functions evaluation.


Fig.3 demonstrates, why need “double iterations” for arcsin and arcos evaluation.

Pay attention: i=0,0, 1,1, 2,2,…   mean : double iterations!!


”Double iterations” for the functions ln and exp evaluation:  i=1,1,  2,2, 3,3…..

”Double iterations” are necessary too  for shX, chX, ArthX


Errors of CORDIC analysis

Root-mean square error estimations  of CORDIC


Summary Table of errors estimations for Volder and Meggitt algorithms.