X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?a=blobdiff_plain;f=assignment8.mdwn;h=f09556f075c06c75c835b94cbc2cb7ff1fedf6f1;hb=HEAD;hp=547db8eda795b39b81e253edbc6a7da571a866ce;hpb=b7801991967a3ca88aaa238169eec3a63d916bcb;p=lambda.git diff --git a/assignment8.mdwn b/assignment8.mdwn deleted file mode 100644 index 547db8ed..00000000 --- a/assignment8.mdwn +++ /dev/null @@ -1,61 +0,0 @@ -1. Complete the definitions of `move_botleft` and `move_right_or_up` from the same-fringe solution in the [[week11]] notes. Test your attempts against some example trees to see if the resulting `make_fringe_enumerator` and `same_fringe` functions work as expected. - - type 'a tree = Leaf of 'a | Node of ('a tree * 'a tree) - - type 'a starred_tree = Root | Starring_Left of 'a starred_pair | Starring_Right of 'a starred_pair - and 'a starred_pair = { parent : 'a starred_tree; sibling: 'a tree } - and 'a zipper = { tree : 'a starred_tree; filler: 'a tree };; - - let rec move_botleft (z : 'a zipper) : 'a zipper = - (* returns z if the targetted node in z has no children *) - (* else returns move_botleft (zipper which results from moving down and left in z) *) - YOU SUPPLY THE DEFINITION - - - let rec move_right_or_up (z : 'a zipper) : 'a zipper option = - (* if it's possible to move right in z, returns Some (the result of doing so) *) - (* else if it's not possible to move any further up in z, returns None *) - (* else returns move_right_or_up (result of moving up in z) *) - YOU SUPPLY THE DEFINITION - - - let new_zipper (t : 'a tree) : 'a zipper = - {tree = Root; filler = t} - ;; - - let make_fringe_enumerator (t: 'a tree) = - (* create a zipper targetting the root of t *) - let zstart = new_zipper t - in let zbotleft = move_botleft zstart - (* create a refcell initially pointing to zbotleft *) - in let zcell = ref (Some zbotleft) - (* construct the next_leaf function *) - in let next_leaf () : 'a option = - match !zcell with - | None -> (* we've finished enumerating the fringe *) - None - | Some z -> ( - (* extract label of currently-targetted leaf *) - let Leaf current = z.filler - (* update zcell to point to next leaf, if there is one *) - in let () = zcell := match move_right_or_up z with - | None -> None - | Some z' -> Some (move_botleft z') - (* return saved label *) - in Some current - ) - (* return the next_leaf function *) - in next_leaf - ;; - - let same_fringe (t1 : 'a tree) (t2 : 'a tree) : bool = - let next1 = make_fringe_enumerator t1 - in let next2 = make_fringe_enumerator t2 - in let rec loop () : bool = - match next1 (), next2 () with - | Some a, Some b when a = b -> loop () - | None, None -> true - | _ -> false - in loop () - ;; -