X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=assignment8.mdwn;h=f09556f075c06c75c835b94cbc2cb7ff1fedf6f1;hp=a66c26ae54b9b4e1dc5a86428ed7d5eabeed6c27;hb=fff7086c5dec8448c3a5369f3df88b50ffd06e6b;hpb=57e4fb87e24913780f5ed25f975986775adc068a;ds=sidebyside diff --git a/assignment8.mdwn b/assignment8.mdwn index a66c26ae..f09556f0 100644 --- a/assignment8.mdwn +++ b/assignment8.mdwn @@ -2,9 +2,10 @@ 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 };; + type 'a starred_level = Root | Starring_Left of 'a starred_nonroot | Starring_Right of 'a starred_nonroot + and 'a starred_nonroot = { parent : 'a starred_level; sibling: 'a tree };; + + type 'a zipper = { level : 'a starred_level; filler: 'a tree };; let rec move_botleft (z : 'a zipper) : 'a zipper = (* returns z if the targetted node in z has no children *) @@ -22,22 +23,19 @@ let new_zipper (t : 'a tree) : 'a zipper = - {tree = Root; filler = t} + {level = 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 zipper targetting the botleft of t *) + let zbotleft = move_botleft (new_zipper t) (* 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 @@ -47,7 +45,9 @@ | Some z' -> Some (move_botleft z') (* return saved label *) in Some current - ) + ) + | None -> (* we've finished enumerating the fringe *) + None (* return the next_leaf function *) in next_leaf ;; @@ -64,7 +64,7 @@ ;; -2. Here's another implementation of the same-fringe function, in Scheme. It's taken from . It uses thunks to delay the evaluation of code that computes the tail of a list of a tree's fringe. It also involves passing continuations as arguments. Your assignment is to fill in the blanks in the code, **and also to supply comments to the code,** to explain what every significant piece is doing. Don't forget to supply the comments, this is an important part of the assignment. +2. Here's another implementation of the same-fringe function, in Scheme. It's taken from . It uses thunks to delay the evaluation of code that computes the tail of a list of a tree's fringe. It also involves passing "the rest of the enumeration of the fringe" as a thunk argument (`tail-thunk` below). Your assignment is to fill in the blanks in the code, **and also to supply comments to the code,** to explain what every significant piece is doing. Don't forget to supply the comments, this is an important part of the assignment. This code uses Scheme's `cond` construct. That works like this; @@ -109,11 +109,11 @@ Here is the implementation: (define (lazy-flatten tree) - (letrec ([helper (lambda (tree tailk) + (letrec ([helper (lambda (tree tail-thunk) (cond [(pair? tree) - (helper (car tree) (lambda () (helper _____ tailk)))] - [else (cons tree tailk)]))]) + (helper (car tree) (lambda () (helper _____ tail-thunk)))] + [else (cons tree tail-thunk)]))]) (helper tree (lambda () _____)))) (define (stream-equal? stream1 stream2)