On Mar 7, 2010, at 12:56 PM, Don Stewart wrote:

In fact, infinite vectors make no sense, as far as I can tell -- these
are fundamentally bounded structures.

Fourier analysis?  Functional analysis?  Hamel bases in Real analysis?  There are lots of infinite dimensional vector spaces out there.

GHC even optimizes it to:

   fib = fib

Sounds like an implementation bug, not an infinite dimensional vector space bug.  My guess is that strictness is getting in the way, and forcing what would be a lazy call to fib in the corresponding list code -- fib = 0 : 1 : (zipWith (+) fib (tail fib)) -- into a strict one.

In fact, I'm pretty sure that's what the problem is:

data Vector a = Vector {-# UNPACK #-} !Int
                       {-# UNPACK #-} !Int
                       {-# UNPACK #-} !(Array a)

The !'s mean "strict" right?