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???
10/08/08 07:44
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#158926 - Issues with Newton-approximation
Responding to: ???'s previous message
Still, the square-root approximation by using the Newton algorithm has a number of possible issues.

First of these is convergence, which is usually good, but not guaranteed (depending on the initial guess).

Another is that is needs an actual division in each step, though I think I have seen variants of the algorithm that don't (they only need a division by a power of two, if I remember correctly).

The algorithm I mentioned ( http://www.embedded.com/98/9802fe2.htm ) can calculate an integer (or fixed point) square root using neither divisions nor multiplications - just with additions, subtractions and shifts.

List of 11 messages in thread
TopicAuthorDate
code library for 24 bit sqare root in asm            01/01/70 00:00      
   So, what have you tried ?            01/01/70 00:00      
   Is the " subject problem" homework?            01/01/70 00:00      
      code library for 24 bit sqare root in asm            01/01/70 00:00      
         Algorithm is important            01/01/70 00:00      
            thinking            01/01/70 00:00      
            Integer?            01/01/70 00:00      
               Fixed-point or integer            01/01/70 00:00      
                  Issues with Newton-approximation            01/01/70 00:00      
               Excellent link            01/01/70 00:00      
   fixed point or integer method of Per Westermark            01/01/70 00:00      

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