X-Git-Url: http://lambda.jimpryor.net/git/gitweb.cgi?p=lambda.git;a=blobdiff_plain;f=topics%2Fweek9_monad_transformers.mdwn;h=c8133e2041d05ab7633843fa08bd705e664c351a;hp=6d8b5b74bc953aa7c0285d937e8b2d8158c058cf;hb=a0eb18e702862266fdc8a7d935d6cc33821fdf4a;hpb=b35732e3e34bb499d0b7775b81632d40d7e3876e diff --git a/topics/week9_monad_transformers.mdwn b/topics/week9_monad_transformers.mdwn index 6d8b5b74..c8133e20 100644 --- a/topics/week9_monad_transformers.mdwn +++ b/topics/week9_monad_transformers.mdwn @@ -155,24 +155,24 @@ Here's an example wrapping Option around List, and vice versa: # module LO = Monad.List.T(Monad.Option);; # module OL = Monad.Option.P(Monad.List);; (* we use the `.P` transformer to hoist List's ++ operation *) - # OL.(run (mzero ++ mid 20 >>= fun i -> mid (i+10)));; + # OL.(run (mzero ++ mid 20 >>= fun x -> mid (x+10) ));; - : int OL.result = [Some 30] When List is on the inside, the failed results just got dropped and the computation proceeds without them. - # LO.(run (hoist Monad.Option.mzero ++ mid 20 >>= fun i -> mid (i+10)));; + # LO.(run (hoist Monad.Option.mzero ++ mid 20 >>= fun x -> mid (x+10) ));; - : int LO.result = None On the other hand, when Option is on the inside, as in LO, failures (which we again represent by `mzero`s from the Option monad, not the List monad's own `mzero`; but here since it's the inner monad we need to `hoist Monad.Option.mzero`) abort the whole computation. (If you instead used the List monad's `mzero`, it'd be ignored by `++` and you'd end with just `Some [30]`.) -This is fun. Notice the difference it makes whether the second `++` is native to the outer `Monad.List`, or whether it's the inner `Monad.List`'s `++` hoisted into the outer wrapper: +This is fun. Here is a List around a List. Notice the difference it makes whether the second `++` is native to the outer `Monad.List`, or whether it's the inner `Monad.List`'s `++` hoisted into the outer wrapper: # module LL = Monad.List.T(Monad.List);; # LL.(run(mid 1 ++ mid 2 >>= fun x -> mid x ++ mid (10*x) ));; - : int LL.result = \[[1; 10; 2; 20]] - # LL.(run(mid 1 ++ mid 2 >>= fun x -> hoist Monad.List.(mid x ++ mid (10*x) )));; - - : int LL.result = \[[1; 2]; [1; 20]; [10; 2]; [10; 20]] + # LL.(run(mid 1 ++ mid 2 >>= fun x -> hoist Monad.List.(mid x ++ mid (10*x)) ));; + - : int LL.result = [[1; 2]; [1; 20]; [10; 2]; [10; 20]] * Read Part III of [All About Monads](http://web.archive.org/web/20071106232016/haskell.org/all_about_monads/html/introIII.html). This link is to an archived version, the main link to haskell.org seems to be broken. Some but not all of this site has been [absorbed into the Haskell wikibook](http://en.wikibooks.org/wiki/Haskell/Monad_transformers).