--- title: Emulating GOTO in Scheme with continuations description: GOTO sucks and is evil and I hate it, but what if there were parentheses? `call/cc` is kinda like goto, so let’s use it to make goto. tags: post,short date: 2026-02-18 14:28:46 -5 --- In his 1968 letter, [A case against the GO TO statement](https://www.cs.utexas.edu/~EWD/transcriptions/EWD02xx/EWD215.html) (known only by that name), Dijkstra said “[t]he go to statement as it stands is just too primitive, it is too much an invitation to make a mess of one’s program.” Unfortunately, scheme programmers aren’t given that invitation. That’s no fair! Fortunately, scheme has a procedure, `call/cc`, that we can use to emulate the control flow that `GOTO` provides. We can use syntactic abstraction to invite our scheme programmers to make a mess of their programs in a limited context. {/*TODO actually complete intro*/} {/*todo revision*/} ## How `GOTO` works Odds are, you know how `GOTO` works, but let’s briefly review. Perhaps you’ve seen a BASIC program that looks something like this: ```basic 10 PRINT "Hello, world!" 20 GOTO 10 ``` This, as you may have guessed, outputs: ```text Hello, world! Hello, world! Hello, world! Hello, world! ... ``` …forever. Normally, control proceeds from the lowest line number to the highest line number, but the `GOTO` statement “jumps” to the given line, no matter where it is. (Forgive my imprecision, this is not a BASIC tutorial.) You’re more likely to see `goto` in `C`: ```c void do_something() { char *important_stuff = (char*)malloc(/* ... */); FILE *important_file = fopen(/* ... */); // do stuff... if (errno != 0) goto cleanup; // do more stuff... if (errno != 0) goto cleanup; printf("Success!\n"); // control falls through even if everything goes well cleanup: free(important_stuff); fclose(important_file); } ``` Using `goto` here let’s us avoid repeating the `cleanup` logic. Not my thing, but this is what `goto` fans like. In `C`, `goto` uses `labels:` instead of line numbers, and it can’t leave the function, but otherwise it is substantially similar to BASIC’s `GOTO`. Hopefully you understand `goto` now. It lets you jump around. The second thing you need to understand before we can implement `goto` with `call/cc` is how `call/cc` works. ## How `call/cc` works `call/cc` is short for `call-with-current-continuation`. Oh, you wanted more explanation? Ugh, fiiiine. A certain smart guy once said that “[i]f you can't explain it simply, you don't understand it well enough.” So, let's see if I understand `call/cc` well enough. `call/cc` takes one argument, a procedure, and returns the result of applying that procedure with the current continuation as an argument. What is “the current continuation?” Let’s start with an example. ```scheme (define cont #f) (begin (+ 1 (call/cc (lambda (k) (set! cont k) 0))) (display "The number is: ") (write (cont 41)) (newline)) ``` If we run this program, `cont` will be a procedure that adds `1` to its argument. Seems useless, but let's run it anyway. It outputs: ``` The number is: The number is: The number is: ... ``` …forever‽ Continuations are a lot like procedures, but they don’t necessarily come back to where you called them. `cont` is actually something like ```scheme (define cont (lambda (x) (+ 1 x) (display "The number is: ") (write (cont 41)) (newline))) ``` In this form, the unconditional recursion is obvious. The `k` that `call/cc` calls its argument with represents, roughly, the rest of the computation. The “current continuation” is what will be executed next at the point that `call/cc` is called. Incidentally, this helps me understand scheme’s multiple return values; `(values v1 v2 ...)` is just `(call/cc (lambda (k) (k v1 v2 ...)))`. I recommend reading about continuations in Dybvig’s [The Scheme Programming Language](https://www.scheme.com/tspl4/further.html#g63) if you’re (justly) dissatisfied with my explanation or just want to learn more about how they work and their applications. We talked about how `call/cc` works, so let’s finally use it to implement `goto` in scheme! ## `goto` in scheme Here you go: ```scheme (define-syntax with-goto (syntax-rules () [(_ goto rest ...) (let () (define goto #f) (%labels rest ...) (call/cc (lambda (k) (set! goto (lambda (label) (k (label)))) rest ...)))])) (define-syntax %labels (syntax-rules () [(_) (begin)] [(_ (_ ...) rest ...) (%labels rest ...)] [(_ label rest ...) (begin (define (label) rest ...) (%labels rest ...))])) ``` Let’s run that with our favorite [R⁶RS](https://www.r6rs.org/) implementation (mine is [Chez Scheme](https://cisco.github.io/ChezScheme/)): ```scheme (with-goto goto loop (display "Hello, world!\n") (goto loop)) ``` ```text Hello, world! Hello, world! Hello, world! Hello, world! ... ``` Here’s an example that doesn't loop forever: ```scheme (let ([x 1]) (with-goto go (go loop) double (set! x (* 2 x)) loop (display x) (newline) (when (< x 1000) (go double)) (display "done\n"))) ``` It outputs: ```scheme 1 2 4 8 16 32 64 128 256 512 1024 done ``` I’ll explain this macro one part at a time. First, `(define-syntax goto (syntax-rules () [...]))` defines `goto` as a syntax transformer (more precise name for a macro) using the `syntax-rules` pattern-matching language. The `()` after `syntax-rules` is the empty list of literals; we don't have any special words here, so it doesn't apply. You can read more about how `syntax-rules` works in [TSPL](https://scheme.com/tspl4/syntax.html#./syntax:s14), but we'll only be using the most basic features here. The important thing is to know that matched names are replaced in the output and that `x ...` matches/splices zero or more expressions. Also, `syntax-rules` is hygienic, so don’t stress about name collisions. Then, we match `(_ goto rest ...)`. Anything else is a syntax error. The `_` is for `with-goto` (we do not want to repeat ourselves). We output a big `let` expression. Notice how the second example uses `go` instead of `goto`? That's because the first element in `with-goto` is the name of the `goto` procedure. We `define` it as false because we will set it later. Next, we pass the body (`rest ...`) to `%labels`, which deserves its own heading. ## Extracting labels `%labels` is a syntax transformer with three cases: 1. `(_)` Nothing is passed: `(begin)` (do nothing) 2. `(_ (_ ...) rest ...)` A list is passed: Ignore it and process `rest ...`. We treat expressions of the form `(x ...)` as statements, not labels. 3. `(_ label rest ...)` Finally, a label! When we encounter a label, we define a thunk (procedure that takes no arguments) with the rest of the arguments as its body, like so: ```scheme (define (label) rest ...) ``` Putting it all together, ```scheme (%labels a (display 1) b (display 2) c (display 3)) ``` (morally) expands to ```scheme (begin (define (a) (display 1) b (display 2) c (display 3)) (define (b) (display 2) c (display 3)) (define (c) (display 3))) ``` (The leftover labels have no effect) This helper on its own is a really crappy way to define functions with shared tails, so let’s bring it all together. ## Going to We have our labels as functions, but what for? If we call these procedures, they will return control to us, so they aren’t like `C` labels at all. Well, remember how I said that continuations don’t necessarily come back to where you called them?” We’re going to exploit that property to implement `goto`. We wrap the body of `with-goto` in `(call/cc (lambda (k) ...))`. Now, inside the body, if we call `k`, instead of continuing execution, we'll immediately stop. By calling a label before `k`, we effectively jump from whatever we were doing to whatever follows the label. This is exactly the behavior we were looking for! `(set! goto (lambda (label) (k (label))))` makes `goto` do exactly this (function arguments have to be evaluated before the procedure call takes place). We use `(define goto #f)` combined with a `set!` because the labels we defined earlier need to be able to see the `goto` function. This is what our first `with-goto` looks like when we expand it: ```scheme (let () (define goto #f) (define (loop) (display "Hello, world!\n") (goto loop)) (call/cc (lambda (k) (set! goto (lambda (label) (k (label)))) loop (display "Hello, world!\n") (goto loop)))) ``` (It is in fact expanded slightly differently and more efficiently, it does not use unbounded stack space afaik, which makes sense because we aren’t actually increasing the depth of the callstack when we `goto`.) ## Conclusion This is useless. There are a lot of cool things that you can implement with `call/cc`, but this is dumb! There is a *lot* of nonsense that you can do with this implementation (try messing with nested `with-goto` or storing `goto` elsewhere). Still, I hope you learned a bit about `call/cc` and what building abstractions with it can look like. Unfortunately, [`call/cc` sucks](https://okmij.org/ftp/continuations/against-callcc.html)! This has been known for decades! [Delimited continuations](https://en.wikipedia.org/wiki/Delimited_continuation) are way better! Use the [`⁻Ƒ⁻` operator](https://web.archive.org/web/20250112082613/https://legacy.cs.indiana.edu/~dyb/pubs/monadicDC.pdf)! Thanks for the soapbox.