On Tue, 8 Feb 2005 09:28:50 -0500
Timothy Miller <[EMAIL PROTECTED]> wrote:
>We need a table and an algorithm that produces good results.  Even
>with a fixed implementation, the table will be accessible in case
>someone comes up with better numbers.

Hi everyone,

Just as a remark: would it not be better to tabulate bits of x+0.5/x
instead of 0.5/x itself. The range of 0.5/x in [0.5, 1) is (0.5, 1], while
x+0.5/x is in [sqrt(2)=1.414..., 1.5]. Also, the derivative of 0.5/x lies
between -2 and -0.5 in the given x-range, while the derivative of
x+0.5/x lies between -1 and +0.5. I think it should therefore be 
possible to compute a few of the highest bits in random logic, and 
tabulate differences in a block-ram, with only one bit of overlap.
The additional cost is of course that you have to subtract x from
the result of the interpolation...

Is there anything against using a block-ram in 36x512 mode
as 12x1536? If the reciprocal is implemented with the first few
bits computed in random logic, then 18 bits is overkill, but 9 bits
is not enough.

Just some ideas that popped up. Where's the catch? ;)

Greetings,
   Alexander
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