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author | Adam Chlipala <adam@chlipala.net> | 2019-02-09 14:01:26 -0500 |
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committer | Adam Chlipala <adam@chlipala.net> | 2019-02-09 14:01:26 -0500 |
commit | 0aab3f48920058051d61215f23440d1042659c92 (patch) | |
tree | 2a5934cb385af5410191acc38ddefc611f169d31 | |
parent | 68cf048ec0c581c5debd293363ed0037bb07a920 (diff) |
Top: foldR4 and mapX4
-rw-r--r-- | lib/ur/top.ur | 21 | ||||
-rw-r--r-- | lib/ur/top.urs | 16 |
2 files changed, 37 insertions, 0 deletions
diff --git a/lib/ur/top.ur b/lib/ur/top.ur index 02567917..92f1ecdd 100644 --- a/lib/ur/top.ur +++ b/lib/ur/top.ur @@ -172,6 +172,17 @@ fun foldR3 [K] [tf1 :: K -> Type] [tf2 :: K -> Type] [tf3 :: K -> Type] [tr :: { f [nm] [t] [rest] r1.nm r2.nm r3.nm (acc (r1 -- nm) (r2 -- nm) (r3 -- nm))) (fn _ _ _ => i) +fun foldR4 [K] [tf1 :: K -> Type] [tf2 :: K -> Type] [tf3 :: K -> Type] [tf4 :: K -> Type] [tr :: {K} -> Type] + (f : nm :: Name -> t :: K -> rest :: {K} + -> [[nm] ~ rest] => + tf1 t -> tf2 t -> tf3 t -> tf4 t -> tr rest -> tr ([nm = t] ++ rest)) + (i : tr []) [r ::: {K}] (fl : folder r) = + fl [fn r :: {K} => $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> $(map tf4 r) -> tr r] + (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] + (acc : _ -> _ -> _ -> _ -> tr rest) r1 r2 r3 r4 => + f [nm] [t] [rest] r1.nm r2.nm r3.nm r4.nm (acc (r1 -- nm) (r2 -- nm) (r3 -- nm) (r4 -- nm))) + (fn _ _ _ _ => i) + fun mapUX [tf :: Type] [ctx :: {Unit}] (f : nm :: Name -> rest :: {Unit} -> [[nm] ~ rest] => tf -> xml ctx [] []) = @@foldR [fn _ => tf] [fn _ => xml ctx [] []] @@ -224,6 +235,16 @@ fun mapX3 [K] [tf1 :: K -> Type] [tf2 :: K -> Type] [tf3 :: K -> Type] [ctx :: { <xml>{f [nm] [t] [rest] r1 r2 r3}{acc}</xml>) <xml/> +fun mapX4 [K] [tf1 :: K -> Type] [tf2 :: K -> Type] [tf3 :: K -> Type] [tf4 :: K -> Type] [ctx :: {Unit}] + (f : nm :: Name -> t :: K -> rest :: {K} + -> [[nm] ~ rest] => + tf1 t -> tf2 t -> tf3 t -> tf4 t -> xml ctx [] []) = + @@foldR4 [tf1] [tf2] [tf3] [tf4] [fn _ => xml ctx [] []] + (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] + r1 r2 r3 r4 acc => + <xml>{f [nm] [t] [rest] r1 r2 r3 r4}{acc}</xml>) + <xml/> + fun query1 [t ::: Name] [fs ::: {Type}] [state ::: Type] (q : sql_query [] [] [t = fs] []) (f : $fs -> state -> transaction state) (i : state) = query q (fn r => f r.t) i diff --git a/lib/ur/top.urs b/lib/ur/top.urs index ec098955..a367a989 100644 --- a/lib/ur/top.urs +++ b/lib/ur/top.urs @@ -121,6 +121,15 @@ val foldR3 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> tf3 :: (K -> Type -> tr [] -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> tr r +(* Fold (generalized safe zip) along four heterogenously-typed records *) +val foldR4 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> tf3 :: (K -> Type) -> tf4 :: (K -> Type) + -> tr :: ({K} -> Type) + -> (nm :: Name -> t :: K -> rest :: {K} + -> [[nm] ~ rest] => + tf1 t -> tf2 t -> tf3 t -> tf4 t -> tr rest -> tr ([nm = t] ++ rest)) + -> tr [] + -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> $(map tf4 r) -> tr r + (* Generate some XML by mapping over a uniformly-typed record *) val mapUX : tf :: Type -> ctx :: {Unit} -> (nm :: Name -> rest :: {Unit} -> [[nm] ~ rest] => @@ -159,6 +168,13 @@ val mapX3 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> tf3 :: (K -> Type) -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> xml ctx [] [] +val mapX4 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> tf3 :: (K -> Type) -> tf4 :: (K -> Type) -> ctx :: {Unit} + -> (nm :: Name -> t :: K -> rest :: {K} + -> [[nm] ~ rest] => + tf1 t -> tf2 t -> tf3 t -> tf4 t -> xml ctx [] []) + -> r ::: {K} -> folder r + -> $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> $(map tf4 r) -> xml ctx [] [] + (* Note that the next two functions return elements in the _reverse_ of the natural order! * Such a choice interacts well with the time complexity of standard list operations. * It's easy to regain the natural order by inverting a query's 'ORDER BY' condition. *) |