On 07/29/2012 04:19 PM, Danny Yoo wrote:
On Sun, Jul 29, 2012 at 6:07 PM, Matthias Felleisen
<matth...@ccs.neu.edu> wrote:

For 81 slots, I'd actually use a (define b (make-vector 81 0)) instead and use 
an access polynomial. I am almost certain that it is faster.

Probably so. It allocates less and has better cache behavior when accessing elements in row-major order.

I'm unfamiliar with the term 'access polynomial'.  Would it be
accurate to say that it's a function f:

    f: (number number -> number)

such as

     (define COLUMN-LENGTH 9)
     (define (f row col) (+ (* row COLUMN-LENGTH) col))

allows us to treat the flat vector as if it were a two-dimensional
structure, by translating (row,col) into offsets?

That's it. I've never heard it called an "access polynomial" before, though that's exactly what it is.

When I merge the `math' collection for 5.4, such decisions will mostly be moot. It has an Array type, which does that for you in any number of dimensions.

Neil ⊥

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