From: Jim Pryor Date: Sat, 18 Sep 2010 21:47:44 +0000 (-0400) Subject: tweaked week3 X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=commitdiff_plain;h=2b8a6578f434e632ed029ca4963cd1f619ada69e;ds=sidebyside tweaked week3 Signed-off-by: Jim Pryor --- diff --git a/week3.mdwn b/week3.mdwn index 29a058c0..a9ca3cd5 100644 --- a/week3.mdwn +++ b/week3.mdwn @@ -14,7 +14,7 @@ In OCaml, you'd define that like this: In Scheme you'd define it like this: - (letrec [(get_length (lambda (lst) (if (null? lst) 0 (+ 1 (get_length (cdr lst))))))] + (letrec [(get_length (lambda (lst) (if (null? lst) 0 [+ 1 (get_length (cdr lst))] )) )] ... ; here you go on to use the function "get_length" ) @@ -24,6 +24,8 @@ Some comments on this: 2. `cdr` is function that gets the tail of a Scheme list. (By definition, it's the function for getting the second member of an ordered pair. It just turns out to return the tail of a list because of the particular way Scheme implements lists.) +3. I alternate between `[ ]`s and `( )`s in the Scheme code just to make it more readable. These have no syntactic difference. + What is the `let rec` in the OCaml code and the `letrec` in the Scheme code? These work like the `let` expressions we've already seen, except that they let you use the variable `get_length` *inside* the body of the function being bound to it---with the understanding that it will there refer to the same function that you're then in the process of binding to `get_length`. So our recursively-defined function works the way we'd expect it to. In OCaml: let rec get_length = fun lst -> @@ -34,8 +36,8 @@ What is the `let rec` in the OCaml code and the `letrec` in the Scheme code? The In Scheme: > (letrec [(get_length - (lambda (lst) (if (null? lst) 0 (+ 1 (get_length (cdr lst))) ) )i - )] (get_length (list 20 30))) + (lambda (lst) (if (null? lst) 0 [+ 1 (get_length (cdr lst))] )) )] + (get_length (list 20 30))) ; this evaluates to 2 If you instead use an ordinary `let` (or `let*`), here's what would happen, in OCaml: @@ -48,8 +50,8 @@ If you instead use an ordinary `let` (or `let*`), here's what would happen, in O Here's Scheme: > (let* [(get_length - (lambda (lst) (if (null? lst) 0 (+ 1 (get_length (cdr lst))) ) ) - )] (get_length (list 20 30))) + (lambda (lst) (if (null? lst) 0 [+ 1 (get_length (cdr lst))] )) )] + (get_length (list 20 30))) ; fails with error "reference to undefined identifier: get_length" Why? Because we said that constructions of this form: @@ -98,7 +100,7 @@ So how could we do it? And how do OCaml and Scheme manage to do it, with their ` 2. If you tried this in Scheme: > (define get_length - (lambda (lst) (if (null? lst) 0 (+ 1 (get_length (cdr lst))) ) )) + (lambda (lst) (if (null? lst) 0 [+ 1 (get_length (cdr lst))] )) ) > (get_length (list 20 30))