Loryn Jenkins <lor...@gmail.com> writes: > Hi > > I'm attempting to adapt the code for cartesian-product into > 2cartesian-product, in order to produce the cartesian product of 3 > sequences.
I'm afraid I haven't got time to properly look at your code, but don't
forget that the cartesian product is associative. That is:
(A × B) × C = A × (B × C)
and either of these two makes sense for the cartesian product of three
sets. In your case, this means that
{ 1 2 } { 3 4 } { 5 6 } cartesian-product cartesian-product
will almost do what you want (it's the right hand side of the equation
above). But the nesting won't be quite right, since you'll have elements
that look like { 1 { 3 5 } }, so you can fix that with something like
[ first2 first2 ] map
I think (untested).
Rupert
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