By Stephanie Weirich Haskell’09 Program Chair
Read Online or Download Haskell’09 Proceedings of the 2009 ACM SIGPLAN Haskell Symposium PDF
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Additional resources for Haskell’09 Proceedings of the 2009 ACM SIGPLAN Haskell Symposium
If instead s changes from s0 to s1 , then u1 ≡ f r0 s1 . In this latter case, the old value f r0 of f <$> r is passed on without having to be recomputed. The savings is significant for functions that do some work based on partial applications. 2 Monad Assuming a suitable join for events, the Monad instance is simple: instance Monad Event where return a = Ev (return (return a)) r> >= h = joinE (fmap h r ) This definition of return makes a regular value into an event by making a constant reactive value (return) and wrapping it up as an always-available future value (return).
Assuming these three properties for FTime, the implementation of futures is easy, with most of the functionality derived (using a GHC language extension) from the pairing instances above. 5. newtype Future a = Fut (FTime, a) deriving (Functor , Applicative, Monad ) Reactive normal form FRP’s behavior and event combinators are very flexible. ) themselves may be reactive, either as made by switcher , or by fmap or (<∗>) applied to reactive behaviors. 3. With the exception of time, all behavior operations in Section 2 (as well as others not mentioned there) produce discretely-changing behaviors when given discretely-changing behaviors.
For reactive values, stepperR corresponds to the Stepper constructor: stepperR :: a → Event a → Reactive a stepperR = Stepper The initial value is f x , and the change event occurs each time either the function or the argument changes. 1 Functor The Event functor is also easily defined. Since an event is a future reactive value, combine fmap on Future with fmap on Reactive. u = fmap (λrf → rf <∗> rx ) uf ⊕ fmap (λrx → rf <∗> rx ) ux instance Functor Event where fmap f (Ev u) = Ev (fmap (fmap f ) u) More succinctly, u = ((<∗>rx ) <$> uf ) ⊕ ((rf <∗>) <$> ux ) A wonderful thing about this (<∗>) definition for Reactive is that it automatically reuses the previous value of the function or argument when the argument or function changes.