X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=cps_and_continuation_operators.mdwn;h=258f7227f66f093cf5d7e5f1989ea25f943ecc6e;hp=7b302c677d2361abb6366d7fdccb80c1fb81eb07;hb=9a23d7fc448e48268a7b60ce9ff3e55222cd833a;hpb=7c8c0a52fdd3692f77be54fdafa19b34e47c0d60;ds=inline diff --git a/cps_and_continuation_operators.mdwn b/cps_and_continuation_operators.mdwn index 7b302c67..258f7227 100644 --- a/cps_and_continuation_operators.mdwn +++ b/cps_and_continuation_operators.mdwn @@ -308,7 +308,7 @@ I set (2) aside a moment ago. The story we just told is a bit too simple because For instance, in Scheme this: (require racket/control) - + (reset (let ([x 1]) (+ 10 (shift k x)))) @@ -349,13 +349,13 @@ Using `shift` and `reset` operators in OCaml, this would look like this: let reset = Delimcc.push_prompt p;; let shift = Delimcc.shift p;; let abort = Delimcc.abort p;; - + let foo x = reset(fun () -> - shift(fun continue -> - if x = 1 then continue 10 - else 20 - ) + 100 + shift(fun continue -> + if x = 1 then continue 10 + else 20 + ) + 100 ) in foo 2 + 1000;; - : int = 1020 @@ -401,40 +401,41 @@ Here are some more examples of using delimited control operators. We present eac Example 1: - ; (+ 100 (+ 10 (abort 1))) ~~> 1 - - app2 (op2 plus) (var hundred) - (app2 (op2 plus) (var ten) (abort (var one))) - + ; (+ 1000 (+ 100 (abort 11))) ~~> 11 + + 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 + reset ( + abort 11 >>= fun i -> + unit (100+i) >>= fun j -> + unit (1000+j))));; + - : int = 11 Example 2: - ; (+ 100 (reset (+ 10 (abort 1)))) ~~> 101 - - app2 (op2 plus) (var hundred) - (reset (app2 (op2 plus) (var ten) (abort (var one)))) - + ; (+ 1000 (reset (+ 100 (abort 11)))) ~~> 1011 + + 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)) >>= fun j -> - unit (100+j)));; - - : int = 101 + reset ( + abort 11 >>= fun i -> + unit (100+i) + ) >>= fun j -> + unit (1000+j)));; + - : int = 1011 Example 3: @@ -442,29 +443,31 @@ Example 3: app2 (op2 plus) (var thousand) (reset (app2 (op2 plus) (var hundred) - (shift (\k. ((op2 plus) (var ten) (var one)))))) + (shift (\k. ((op2 plus) (var ten) (var one)))))) Continuation_monad.( - let v = reset ( - let u = shift (fun k -> unit (10 + 1)) - in u >>= fun x -> unit (100 + x) - ) in let w = v >>= fun x -> unit (1000 + x) - in run0 w) + let v = reset ( + let u = shift (fun k -> unit (10 + 1)) + in u >>= fun x -> unit (100 + x) + ) in let w = v >>= fun x -> unit (1000 + x) + in run0 w);; + - : int = 1011 Example 4: ; (+ 1000 (reset (+ 100 (shift k (k (+ 10 1)))))) ~~> 1111 - + app2 (op2 plus) (var thousand) (reset (app2 (op2 plus) (var hundred) - (shift (\k. (app (var k) ((op2 plus) (var ten) (var one))))))) - + (shift (\k. (app (var k) ((op2 plus) (var ten) (var one))))))) + Continuation_monad.( let v = reset ( let u = shift (fun k -> k (10 :: [1])) - in u >>= fun x -> unit (100 :: 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; 100; 10; 1] To demonstrate the different adding order between Examples 4 and 5, we use `::` in the OCaml version instead of `+`. Here is Example 5: @@ -472,37 +475,40 @@ To demonstrate the different adding order between Examples 4 and 5, we use `::` app2 (op2 plus) (var thousand) (reset (app2 (op2 plus) (var hundred) - (shift (\k. ((op2 plus) (var ten) (app (var k) (var one))))))) + (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)) + in u >>= fun x -> unit (100 :: x) + ) in let w = v >>= fun x -> unit (1000 :: x) + in run0 w) + - : int list = [1000; 10; 100; 1] - Continuation_monad.(let v = reset ( - 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) Example 6: ; (+ 100 ((reset (+ 10 (shift k k))) 1)) ~~> 111 - + app2 (op2 plus) (var hundred) (app (reset (app2 (op2 plus) (var ten) - (shift (\k. (var k))))) (var one)) - + (shift (\k. (var k))))) (var one)) + (* not sure if this example can be typed as-is in OCaml. We may need a sum-type *) Example 7: ; (+ 100 (reset (+ 10 (shift k (k (k 1)))))) ~~> 121 - + app2 (op2 plus) (var hundred) (reset (app2 (op2 plus) (var ten) - (shift (\k. app (var k) (app (var k) (var one)))))) - + (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) + - : int = 121