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authorBenjamin Barenblat <bbaren@mit.edu>2017-07-23 09:50:04 -0400
committerBenjamin Barenblat <bbaren@mit.edu>2017-07-23 09:50:04 -0400
commit0cccdb0ae595cd7e3e136e984ac7b95b99f71a53 (patch)
tree491d3b13813610943c60460d3e178d3a73916346 /lib/ur/top.urs
Import urweb_20170720+dfsg.orig.tar.gz
[dgit import orig urweb_20170720+dfsg.orig.tar.gz]
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diff --git a/lib/ur/top.urs b/lib/ur/top.urs
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+(** Row folding *)
+
+con folder :: K --> {K} -> Type
+
+val fold : K --> tf :: ({K} -> Type)
+ -> (nm :: Name -> v :: K -> r :: {K} -> [[nm] ~ r] =>
+ tf r -> tf ([nm = v] ++ r))
+ -> tf []
+ -> r ::: {K} -> folder r -> tf r
+
+structure Folder : sig
+ val nil : K --> folder (([]) :: {K})
+ val cons : K --> r ::: {K} -> nm :: Name -> v :: K
+ -> [[nm] ~ r] => folder r -> folder ([nm = v] ++ r)
+ val concat : K --> r1 ::: {K} -> r2 ::: {K}
+ -> [r1 ~ r2] => folder r1 -> folder r2 -> folder (r1 ++ r2)
+ val mp : K1 --> K2 --> f ::: (K1 -> K2) -> r ::: {K1}
+ -> folder r -> folder (map f r)
+end
+
+
+val not : bool -> bool
+
+(* Type-level identity function *)
+con ident = K ==> fn t :: K => t
+
+(* Type-level function which yields the value-level record
+ described by the given type-level record *)
+con record = fn t :: {Type} => $t
+
+con fst = K1 ==> K2 ==> fn t :: (K1 * K2) => t.1
+con snd = K1 ==> K2 ==> fn t :: (K1 * K2) => t.2
+con fst3 = K1 ==> K2 ==> K3 ==> fn t :: (K1 * K2 * K3) => t.1
+con snd3 = K1 ==> K2 ==> K3 ==> fn t :: (K1 * K2 * K3) => t.2
+con thd3 = K1 ==> K2 ==> K3 ==> fn t :: (K1 * K2 * K3) => t.3
+
+(* Convert a record of n Units into a type-level record where
+ each field has the same value (which describes a uniformly
+ typed record) *)
+con mapU = K ==> fn f :: K => map (fn _ :: Unit => f)
+
+(* Existential type former *)
+con ex :: K --> (K -> Type) -> Type
+
+(* Introduction of existential type *)
+val ex_intro : K --> tf :: (K -> Type) -> choice :: K -> tf choice -> ex tf
+
+(* Eliminator for existential type *)
+val ex_elim : K --> tf ::: (K -> Type) -> ex tf -> res ::: Type -> (choice :: K -> tf choice -> res) -> res
+
+(* Composition of ordinary (value-level) functions *)
+val compose : t1 ::: Type -> t2 ::: Type -> t3 ::: Type
+ -> (t2 -> t3) -> (t1 -> t2) -> (t1 -> t3)
+
+val show_option : t ::: Type -> show t -> show (option t)
+val read_option : t ::: Type -> read t -> read (option t)
+
+val txt : t ::: Type -> ctx ::: {Unit} -> use ::: {Type} -> show t -> t
+ -> xml ctx use []
+
+(* Given a polymorphic type (tf) and a means of constructing
+ "default" values of tf applied to arbitrary arguments,
+ constructs records consisting of those "default" values *)
+val map0 : K --> tf :: (K -> Type)
+ -> (t :: K -> tf t)
+ -> r ::: {K} -> folder r -> $(map tf r)
+
+(* Given two polymorphic types (tf1 and tf2) and a means of
+ converting from tf1 t to tf2 t for arbitrary t,
+ converts records of tf1's to records of tf2's *)
+val mp : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type)
+ -> (t ::: K -> tf1 t -> tf2 t)
+ -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r)
+
+(* Two-argument conversion form of mp *)
+val map2 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> tf :: (K -> Type)
+ -> (t ::: K -> tf1 t -> tf2 t -> tf t)
+ -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r) -> $(map tf r)
+
+(* Three-argument conversion form of mp *)
+val map3 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> tf3 :: (K -> Type) -> tf :: (K -> Type)
+ -> (t ::: K -> tf1 t -> tf2 t -> tf3 t -> tf t)
+ -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> $(map tf r)
+
+(* Fold along a uniformly (homogenously) typed record *)
+val foldUR : tf :: Type -> tr :: ({Unit} -> Type)
+ -> (nm :: Name -> rest :: {Unit}
+ -> [[nm] ~ rest] =>
+ tf -> tr rest -> tr ([nm] ++ rest))
+ -> tr [] -> r ::: {Unit} -> folder r -> $(mapU tf r) -> tr r
+
+(* Fold (generalized safe zip) along two equal-length uniformly-typed records *)
+val foldUR2 : tf1 :: Type -> tf2 :: Type -> tr :: ({Unit} -> Type)
+ -> (nm :: Name -> rest :: {Unit}
+ -> [[nm] ~ rest] =>
+ tf1 -> tf2 -> tr rest -> tr ([nm] ++ rest))
+ -> tr [] -> r ::: {Unit} -> folder r -> $(mapU tf1 r) -> $(mapU tf2 r) -> tr r
+
+(* Fold along a heterogenously-typed record *)
+val foldR : K --> tf :: (K -> Type) -> tr :: ({K} -> Type)
+ -> (nm :: Name -> t :: K -> rest :: {K}
+ -> [[nm] ~ rest] =>
+ tf t -> tr rest -> tr ([nm = t] ++ rest))
+ -> tr [] -> r ::: {K} -> folder r -> $(map tf r) -> tr r
+
+(* Fold (generalized safe zip) along two heterogenously-typed records *)
+val foldR2 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type)
+ -> tr :: ({K} -> Type)
+ -> (nm :: Name -> t :: K -> rest :: {K}
+ -> [[nm] ~ rest] =>
+ tf1 t -> tf2 t -> tr rest -> tr ([nm = t] ++ rest))
+ -> tr []
+ -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r) -> tr r
+
+(* Fold (generalized safe zip) along three heterogenously-typed records *)
+val foldR3 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> tf3 :: (K -> Type)
+ -> tr :: ({K} -> Type)
+ -> (nm :: Name -> t :: K -> rest :: {K}
+ -> [[nm] ~ rest] =>
+ tf1 t -> tf2 t -> tf3 t -> tr rest -> tr ([nm = t] ++ rest))
+ -> tr []
+ -> r ::: {K} -> folder r -> $(map tf1 r) -> $(map tf2 r) -> $(map tf3 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] =>
+ tf -> xml ctx [] [])
+ -> r ::: {Unit} -> folder r -> $(mapU tf r) -> xml ctx [] []
+val mapUX_rev : tf :: Type -> ctx :: {Unit}
+ -> (nm :: Name -> rest :: {Unit} -> [[nm] ~ rest] =>
+ tf -> xml ctx [] [])
+ -> r ::: {Unit} -> folder r -> $(mapU tf r) -> xml ctx [] []
+
+(* Generate some XML by mapping over a heterogenously-typed record *)
+val mapX : K --> tf :: (K -> Type) -> ctx :: {Unit}
+ -> (nm :: Name -> t :: K -> rest :: {K}
+ -> [[nm] ~ rest] =>
+ tf t -> xml ctx [] [])
+ -> r ::: {K} -> folder r -> $(map tf r) -> xml ctx [] []
+
+val mapUX2 : tf1 :: Type -> tf2 :: Type -> ctx :: {Unit}
+ -> (nm :: Name -> rest :: {Unit}
+ -> [[nm] ~ rest] =>
+ tf1 -> tf2 -> xml ctx [] [])
+ -> r ::: {Unit} -> folder r
+ -> $(mapU tf1 r) -> $(mapU tf2 r) -> xml ctx [] []
+
+val mapX2 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> ctx :: {Unit}
+ -> (nm :: Name -> t :: K -> rest :: {K}
+ -> [[nm] ~ rest] =>
+ tf1 t -> tf2 t -> xml ctx [] [])
+ -> r ::: {K} -> folder r
+ -> $(map tf1 r) -> $(map tf2 r) -> xml ctx [] []
+
+val mapX3 : K --> tf1 :: (K -> Type) -> tf2 :: (K -> Type) -> tf3 :: (K -> Type) -> ctx :: {Unit}
+ -> (nm :: Name -> t :: K -> rest :: {K}
+ -> [[nm] ~ rest] =>
+ tf1 t -> tf2 t -> tf3 t -> xml ctx [] [])
+ -> r ::: {K} -> folder r
+ -> $(map tf1 r) -> $(map tf2 r) -> $(map tf3 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. *)
+
+val queryL : tables ::: {{Type}} -> exps ::: {Type}
+ -> [tables ~ exps] =>
+ sql_query [] [] tables exps
+ -> transaction (list $(exps ++ map (fn fields :: {Type} => $fields) tables))
+
+val queryL1 : t ::: Name -> fs ::: {Type}
+ -> sql_query [] [] [t = fs] []
+ -> transaction (list $fs)
+
+val query1 : t ::: Name -> fs ::: {Type} -> state ::: Type
+ -> sql_query [] [] [t = fs] []
+ -> ($fs -> state -> transaction state)
+ -> state
+ -> transaction state
+
+val query1' : t ::: Name -> fs ::: {Type} -> state ::: Type
+ -> sql_query [] [] [t = fs] []
+ -> ($fs -> state -> state)
+ -> state
+ -> transaction state
+
+val queryI : tables ::: {{Type}} -> exps ::: {Type}
+ -> [tables ~ exps] =>
+ sql_query [] [] tables exps
+ -> ($(exps ++ map (fn fields :: {Type} => $fields) tables)
+ -> transaction unit)
+ -> transaction unit
+
+val queryI1 : nm ::: Name -> fs ::: {Type}
+ -> sql_query [] [] [nm = fs] []
+ -> ($fs -> transaction unit)
+ -> transaction unit
+
+val queryX : tables ::: {{Type}} -> exps ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
+ -> [tables ~ exps] =>
+ sql_query [] [] tables exps
+ -> ($(exps ++ map (fn fields :: {Type} => $fields) tables)
+ -> xml ctx inp [])
+ -> transaction (xml ctx inp [])
+
+val queryXI : tables ::: {{Type}} -> exps ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
+ -> [tables ~ exps] =>
+ sql_query [] [] tables exps
+ -> (int -> $(exps ++ map (fn fields :: {Type} => $fields) tables)
+ -> xml ctx inp [])
+ -> transaction (xml ctx inp [])
+
+val queryX1 : nm ::: Name -> fs ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
+ -> sql_query [] [] [nm = fs] []
+ -> ($fs -> xml ctx inp [])
+ -> transaction (xml ctx inp [])
+
+val queryX1I : nm ::: Name -> fs ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
+ -> sql_query [] [] [nm = fs] []
+ -> (int -> $fs -> xml ctx inp [])
+ -> transaction (xml ctx inp [])
+
+val queryX' : tables ::: {{Type}} -> exps ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
+ -> [tables ~ exps] =>
+ sql_query [] [] tables exps
+ -> ($(exps ++ map (fn fields :: {Type} => $fields) tables)
+ -> transaction (xml ctx inp []))
+ -> transaction (xml ctx inp [])
+val queryX1' : nm ::: Name -> fs ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
+ -> sql_query [] [] [nm = fs] []
+ -> ($fs -> transaction (xml ctx inp []))
+ -> transaction (xml ctx inp [])
+val queryXE' : exps ::: {Type} -> ctx ::: {Unit} -> inp ::: {Type}
+ -> sql_query [] [] [] exps
+ -> ($exps -> transaction (xml ctx inp []))
+ -> transaction (xml ctx inp [])
+
+val hasRows : tables ::: {{Type}} -> exps ::: {Type}
+ -> [tables ~ exps] =>
+ sql_query [] [] tables exps
+ -> transaction bool
+
+val oneOrNoRows : tables ::: {{Type}} -> exps ::: {Type}
+ -> [tables ~ exps] =>
+ sql_query [] [] tables exps
+ -> transaction
+ (option
+ $(exps
+ ++ map (fn fields :: {Type} => $fields) tables))
+
+val oneOrNoRows1 : nm ::: Name -> fs ::: {Type}
+ -> sql_query [] [] [nm = fs] []
+ -> transaction (option $fs)
+
+val oneOrNoRowsE1 : tabs ::: {Unit} -> nm ::: Name -> t ::: Type
+ -> [tabs ~ [nm]] =>
+ sql_query [] [] (mapU [] tabs) [nm = t]
+ -> transaction (option t)
+
+val oneRow : tables ::: {{Type}} -> exps ::: {Type}
+ -> [tables ~ exps] =>
+ sql_query [] [] tables exps
+ -> transaction
+ $(exps
+ ++ map (fn fields :: {Type} => $fields) tables)
+
+val oneRow1 : nm ::: Name -> fs ::: {Type}
+ -> sql_query [] [] [nm = fs] []
+ -> transaction $fs
+
+val oneRowE1 : tabs ::: {Unit} -> nm ::: Name -> t ::: Type
+ -> [tabs ~ [nm]] =>
+ sql_query [] [] (mapU [] tabs) [nm = t]
+ -> transaction t
+
+val nonempty : fs ::: {Type} -> us ::: {{Unit}} -> sql_table fs us
+ -> transaction bool
+
+val eqNullable : tables ::: {{Type}} -> agg ::: {{Type}} -> exps ::: {Type}
+ -> t ::: Type -> sql_injectable (option t)
+ -> sql_exp tables agg exps (option t)
+ -> sql_exp tables agg exps (option t)
+ -> sql_exp tables agg exps bool
+
+val eqNullable' : tables ::: {{Type}} -> agg ::: {{Type}} -> exps ::: {Type}
+ -> t ::: Type -> sql_injectable (option t)
+ -> sql_exp tables agg exps (option t)
+ -> option t
+ -> sql_exp tables agg exps bool
+
+val mkRead' : t ::: Type -> (string -> option t) -> string -> read t
+
+val postFields : postBody -> list (string * string)
+
+val max : t ::: Type -> ord t -> t -> t -> t
+val min : t ::: Type -> ord t -> t -> t -> t
+
+val assert : t ::: Type
+ -> bool (* Did we avoid something bad? *)
+ -> string (* Explanation of the bad thing *)
+ -> string (* Source location of the bad thing *)
+ -> t (* Return this value if all went well. *)
+ -> t