On Tuesday 08 February 2005 20:52, Timothy Miller wrote:
> On Tue, 8 Feb 2005 19:59:54 -0500, Daniel Phillips wrote:
> > I suppose that is why multipliers start disappearing when you
> > use the larger ram blocks.
>
> No, the multipliers are dedicated logic.  If you wanted to put an
> 18x18 multiplier into a RAM block, you'd have to have a 36 bit
> address.  Where are you going to fit 2^36 bits?

If it was done this way (which it's not as you point out) you might 
stack up a bunch of little multipliers to make a big one that works in 
O Log(N), I seem to recall from Knuth.  OK, that's called a partial 
product lut multiplier:

http://www.andraka.com/multipli.htm

There's one in there, the computed partial product multiplier, that 
looks like it might be useful in this design.

> The reason the multipliers disappear when you use RAMs in 36-bit mode
> is because each multiplier is paired with a RAM block, and they share
> some data lines.  Apparently, the pairing is useful for digital
> signal processing like FFTs and stuff, but since we want to use them
> independently, we have to deal with some limitations.

Now I'm curious, we're not planning on leaving part of the chip unused 
are we? :-)

> Well, if we need to add functionality, we need to figure that out.
> Otherwise, the most useful thing to do right now is to use the
> float25 class and perhaps start making other modifications that
> reflect the implementation (like fixed-point).  But it may be too
> early to make some of those decisions.

Yes, I feel like I sort of understand what's going to happen at the 
rasterizing end of the pipe, but the other end is still a big murky 
unknown.  I see a lot of 8x8 multiplies that could be table lookups, 
since multipliers and logic are apparently in shorter supply than ram.  
On a once over lightly, I didn't spot anything that won't work with 8x8 
= 8 bit precision, with the possible exception of fog.

> > In fact, this FPGA appears to work entirely by lookup tables and
> > doesn't actually implement gate logic at all.  I don't know, maybe
> > they all work that way, but this is the only one I've ever looked
> > at and it does seem very cool.
>
> That's a misleading way to put it.

Don't forget, this is a software guy trying to make sense of a hardware 
world.

Regards,

Daniel
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