X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=cps_and_continuation_operators.mdwn;h=e3fb42d09954a64bc8c315924fe4d0ae97af5847;hp=4fcf5e02a61cf797d39eb5cc0823b4aefe2d3b89;hb=fff7086c5dec8448c3a5369f3df88b50ffd06e6b;hpb=cafeb275823b78def39643c13babed9363f792d7;ds=sidebyside diff --git a/cps_and_continuation_operators.mdwn b/cps_and_continuation_operators.mdwn index 4fcf5e02..e3fb42d0 100644 --- a/cps_and_continuation_operators.mdwn +++ b/cps_and_continuation_operators.mdwn @@ -173,15 +173,15 @@ So too will examples. We'll give some examples, and show you how to try them out let callcc body = fun outk -> body (fun v localk -> outk v) outk - + 3. `callcc` was originally introduced in Scheme. There it's written `call/cc` and is an abbreviation of `call-with-current-continuation`. Instead of the somewhat bulky form: - (call/cc (lambda (k) ...)) + (call/cc (lambda (k) ...)) -I prefer instead to use the lighter, and equivalent, shorthand: + I prefer instead to use the lighter, and equivalent, shorthand: - (let/cc k ...) + (let/cc k ...) Callcc examples @@ -401,41 +401,41 @@ Here are some more examples of using delimited control operators. We present eac Example 1: - ; (+ 100 (+ 10 (abort 1))) ~~> 1 + ; (+ 1000 (+ 100 (abort 11))) ~~> 11 - app2 (op2 plus) (var hundred) - (app2 (op2 plus) (var ten) (abort (var one))) + app2 (op2 plus) (var thousand) + (app2 (op2 plus) (var hundred) (abort (var eleven))) # Continuation_monad.(run0( - abort 1 >>= fun i -> - unit (10+i) >>= fun j -> - unit (100+j)));; - - : int = 1 + abort 11 >>= fun i -> + unit (100+i) >>= fun j -> + unit (1000+j)));; + - : int = 11 When no `reset` is specified, there's understood to be an implicit one surrounding the entire computation (but unlike in the case of `callcc`, you still can't capture up to *and including* the end of the computation). So it makes no difference if we say instead: # Continuation_monad.(run0( reset ( - abort 1 >>= fun i -> - unit (10+i) >>= fun j -> - unit (100+j))));; - - : int = 1 + abort 11 >>= fun i -> + unit (100+i) >>= fun j -> + unit (1000+j))));; + - : int = 11 Example 2: - ; (+ 100 (reset (+ 10 (abort 1)))) ~~> 101 + ; (+ 1000 (reset (+ 100 (abort 11)))) ~~> 1011 - app2 (op2 plus) (var hundred) - (reset (app2 (op2 plus) (var ten) (abort (var one)))) + app2 (op2 plus) (var thousand) + (reset (app2 (op2 plus) (var hundred) (abort (var eleven)))) # Continuation_monad.(run0( reset ( - abort 1 >>= fun i -> - unit (10+i) + abort 11 >>= fun i -> + unit (100+i) ) >>= fun j -> - unit (100+j)));; - - : int = 101 + unit (1000+j)));; + - : int = 1011 Example 3: @@ -478,10 +478,10 @@ To demonstrate the different adding order between Examples 4 and 5, we use `::` (shift (\k. ((op2 plus) (var ten) (app (var k) (var one))))))) Continuation_monad.(let v = reset ( - let u = shift (fun k -> k [1] >>= fun x -> unit (10 :: x)) + let u = shift (fun k -> k [1] >>= fun x -> unit (10 :: x)) in u >>= fun x -> unit (100 :: x) ) in let w = v >>= fun x -> unit (1000 :: x) - in run0 w) + in run0 w);; - : int list = [1000; 10; 100; 1] @@ -493,7 +493,23 @@ Example 6: (app (reset (app2 (op2 plus) (var ten) (shift (\k. (var k))))) (var one)) - (* not sure if this example can be typed as-is in OCaml. We may need a sum-type *) + (* not sure if this example can be typed as-is in OCaml... this is the best I an do at the moment... *) + + # type 'x either = Left of (int -> ('x,'x either) Continuation_monad.m) | Right of int;; + # Continuation_monad.(let v = reset ( + shift (fun k -> unit (Left k)) >>= fun i -> unit (Right (10+i)) + ) in let w = v >>= fun (Left k) -> + k 1 >>= fun (Right i) -> + unit (100+i) + in run0 w);; + - : int = 111 + + Example 7: @@ -504,7 +520,7 @@ Example 7: (shift (\k. app (var k) (app (var k) (var one)))))) Continuation_monad.(let v = reset ( - let u = shift (fun k -> k 1 >>= fun x -> k x) + let u = shift (fun k -> k 1 >>= fun x -> k x) in u >>= fun x -> unit (10 + x) ) in let w = v >>= fun x -> unit (100 + x) in run0 w)