Hi Stephan,

S. Günther wrote:
Is it possible to change a particular node of the
doubly linked list? That is to say, that would like
to have a function:
update :: DList a -> a -> DList a
where
update node newValue
returns a list where only the value at the node
which is passed in is set to the new Value and
all other values are the same. All this of course
in a pure way, that is without using (M/T/TM)Vars
or IORefs.

The short answer is: yes, but the complete DList structure will need to be built anew (if nodes in the updated list are needed).

The longer answer is: Because everything is pure, 'update' will need to create a new DLNode with the new value. But then you will also want to update the node's neighbours to point to the newly created DLNode, because if you don't then moving forward and then backward one position would make you end up at the old value again. But to update the neighbours' links to the new node you need to create new neighbour DLNodes, because everything is pure. And so on, until the whole list has been recreated.

To not need to recreate the whole list you will need some kind of assignment, and this is exactly what vars/refs are for.

Hope this helps,

Martijn.
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