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annotate lib/top.ur @ 418:ad7e854a518c

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Metaform demos, minus prose
author Adam Chlipala <adamc@hcoop.net>
date Thu, 23 Oct 2008 14:03:12 -0400
parents df4cbd90a26e
children 0ce90d4d9ae7
rev   line source
adamc@356 1 con idT (t :: Type) = t
adamc@356 2 con record (t :: {Type}) = $t
adamc@356 3 con fstTT (t :: (Type * Type)) = t.1
adamc@356 4 con sndTT (t :: (Type * Type)) = t.2
adamc@329 5
adamc@356 6 con mapTT (f :: Type -> Type) = fold (fn nm t acc [[nm] ~ acc] =>
adamc@356 7 [nm = f t] ++ acc) []
adamc@325 8
adamc@411 9 con mapUT = fn f :: Type => fold (fn nm t acc [[nm] ~ acc] =>
adamc@411 10 [nm = f] ++ acc) []
adamc@411 11
adamc@356 12 con mapT2T (f :: (Type * Type) -> Type) = fold (fn nm t acc [[nm] ~ acc] =>
adamc@356 13 [nm = f t] ++ acc) []
adamc@339 14
adamc@339 15 con ex = fn tf :: (Type -> Type) =>
adamc@356 16 res ::: Type -> (choice :: Type -> tf choice -> res) -> res
adamc@339 17
adamc@339 18 fun ex (tf :: (Type -> Type)) (choice :: Type) (body : tf choice) : ex tf =
adamc@356 19 fn (res ::: Type) (f : choice :: Type -> tf choice -> res) =>
adamc@356 20 f [choice] body
adamc@339 21
adamc@356 22 fun compose (t1 ::: Type) (t2 ::: Type) (t3 ::: Type)
adamc@356 23 (f1 : t2 -> t3) (f2 : t1 -> t2) (x : t1) = f1 (f2 x)
adamc@325 24
adamc@356 25 fun txt (t ::: Type) (ctx ::: {Unit}) (use ::: {Type}) (sh : show t) (v : t) =
adamc@403 26 cdata (@show sh v)
adamc@328 27
adamc@411 28 fun foldUR (tf :: Type) (tr :: {Unit} -> Type)
adamc@411 29 (f : nm :: Name -> rest :: {Unit}
adamc@411 30 -> fn [[nm] ~ rest] =>
adamc@411 31 tf -> tr rest -> tr ([nm] ++ rest))
adamc@411 32 (i : tr []) =
adamc@411 33 fold [fn r :: {Unit} => $(mapUT tf r) -> tr r]
adamc@412 34 (fn (nm :: Name) (t :: Unit) (rest :: {Unit}) acc
adamc@412 35 [[nm] ~ rest] r =>
adamc@411 36 f [nm] [rest] r.nm (acc (r -- nm)))
adamc@411 37 (fn _ => i)
adamc@411 38
adamc@418 39 fun foldUR2 (tf1 :: Type) (tf2 :: Type) (tr :: {Unit} -> Type)
adamc@418 40 (f : nm :: Name -> rest :: {Unit}
adamc@418 41 -> fn [[nm] ~ rest] =>
adamc@418 42 tf1 -> tf2 -> tr rest -> tr ([nm] ++ rest))
adamc@418 43 (i : tr []) =
adamc@418 44 fold [fn r :: {Unit} => $(mapUT tf1 r) -> $(mapUT tf2 r) -> tr r]
adamc@418 45 (fn (nm :: Name) (t :: Unit) (rest :: {Unit}) acc
adamc@418 46 [[nm] ~ rest] r1 r2 =>
adamc@418 47 f [nm] [rest] r1.nm r2.nm (acc (r1 -- nm) (r2 -- nm)))
adamc@418 48 (fn _ _ => i)
adamc@418 49
adamc@418 50 fun foldURX2 (tf1 :: Type) (tf2 :: Type) (ctx :: {Unit})
adamc@418 51 (f : nm :: Name -> rest :: {Unit}
adamc@418 52 -> fn [[nm] ~ rest] =>
adamc@418 53 tf1 -> tf2 -> xml ctx [] []) =
adamc@418 54 foldUR2 [tf1] [tf2] [fn _ => xml ctx [] []]
adamc@418 55 (fn (nm :: Name) (rest :: {Unit}) [[nm] ~ rest] v1 v2 acc =>
adamc@418 56 <xml>{f [nm] [rest] v1 v2}{acc}</xml>)
adamc@418 57 <xml/>
adamc@418 58
adamc@336 59 fun foldTR (tf :: Type -> Type) (tr :: {Type} -> Type)
adamc@356 60 (f : nm :: Name -> t :: Type -> rest :: {Type}
adamc@356 61 -> fn [[nm] ~ rest] =>
adamc@356 62 tf t -> tr rest -> tr ([nm = t] ++ rest))
adamc@356 63 (i : tr []) =
adamc@356 64 fold [fn r :: {Type} => $(mapTT tf r) -> tr r]
adamc@356 65 (fn (nm :: Name) (t :: Type) (rest :: {Type}) (acc : _ -> tr rest)
adamc@356 66 [[nm] ~ rest] r =>
adamc@356 67 f [nm] [t] [rest] r.nm (acc (r -- nm)))
adamc@356 68 (fn _ => i)
adamc@336 69
adamc@339 70 fun foldT2R (tf :: (Type * Type) -> Type) (tr :: {(Type * Type)} -> Type)
adamc@367 71 (f : nm :: Name -> t :: (Type * Type) -> rest :: {(Type * Type)}
adamc@367 72 -> fn [[nm] ~ rest] =>
adamc@367 73 tf t -> tr rest -> tr ([nm = t] ++ rest))
adamc@367 74 (i : tr []) =
adamc@356 75 fold [fn r :: {(Type * Type)} => $(mapT2T tf r) -> tr r]
adamc@356 76 (fn (nm :: Name) (t :: (Type * Type)) (rest :: {(Type * Type)})
adamc@356 77 (acc : _ -> tr rest) [[nm] ~ rest] r =>
adamc@356 78 f [nm] [t] [rest] r.nm (acc (r -- nm)))
adamc@356 79 (fn _ => i)
adamc@339 80
adamc@330 81 fun foldTR2 (tf1 :: Type -> Type) (tf2 :: Type -> Type) (tr :: {Type} -> Type)
adamc@367 82 (f : nm :: Name -> t :: Type -> rest :: {Type}
adamc@367 83 -> fn [[nm] ~ rest] =>
adamc@367 84 tf1 t -> tf2 t -> tr rest -> tr ([nm = t] ++ rest))
adamc@367 85 (i : tr []) =
adamc@356 86 fold [fn r :: {Type} => $(mapTT tf1 r) -> $(mapTT tf2 r) -> tr r]
adamc@356 87 (fn (nm :: Name) (t :: Type) (rest :: {Type})
adamc@356 88 (acc : _ -> _ -> tr rest) [[nm] ~ rest] r1 r2 =>
adamc@356 89 f [nm] [t] [rest] r1.nm r2.nm (acc (r1 -- nm) (r2 -- nm)))
adamc@356 90 (fn _ _ => i)
adamc@332 91
adamc@356 92 fun foldT2R2 (tf1 :: (Type * Type) -> Type) (tf2 :: (Type * Type) -> Type)
adamc@356 93 (tr :: {(Type * Type)} -> Type)
adamc@356 94 (f : nm :: Name -> t :: (Type * Type) -> rest :: {(Type * Type)}
adamc@356 95 -> fn [[nm] ~ rest] =>
adamc@356 96 tf1 t -> tf2 t -> tr rest -> tr ([nm = t] ++ rest))
adamc@356 97 (i : tr []) =
adamc@356 98 fold [fn r :: {(Type * Type)} => $(mapT2T tf1 r) -> $(mapT2T tf2 r) -> tr r]
adamc@356 99 (fn (nm :: Name) (t :: (Type * Type)) (rest :: {(Type * Type)})
adamc@356 100 (acc : _ -> _ -> tr rest) [[nm] ~ rest] r1 r2 =>
adamc@356 101 f [nm] [t] [rest] r1.nm r2.nm (acc (r1 -- nm) (r2 -- nm)))
adamc@356 102 (fn _ _ => i)
adamc@339 103
adamc@336 104 fun foldTRX (tf :: Type -> Type) (ctx :: {Unit})
adamc@356 105 (f : nm :: Name -> t :: Type -> rest :: {Type}
adamc@356 106 -> fn [[nm] ~ rest] =>
adamc@356 107 tf t -> xml ctx [] []) =
adamc@356 108 foldTR [tf] [fn _ => xml ctx [] []]
adamc@356 109 (fn (nm :: Name) (t :: Type) (rest :: {Type}) [[nm] ~ rest] r acc =>
adamc@356 110 <xml>{f [nm] [t] [rest] r}{acc}</xml>)
adamc@360 111 <xml/>
adamc@336 112
adamc@339 113 fun foldT2RX (tf :: (Type * Type) -> Type) (ctx :: {Unit})
adamc@356 114 (f : nm :: Name -> t :: (Type * Type) -> rest :: {(Type * Type)}
adamc@356 115 -> fn [[nm] ~ rest] =>
adamc@356 116 tf t -> xml ctx [] []) =
adamc@356 117 foldT2R [tf] [fn _ => xml ctx [] []]
adamc@356 118 (fn (nm :: Name) (t :: (Type * Type)) (rest :: {(Type * Type)})
adamc@356 119 [[nm] ~ rest] r acc =>
adamc@356 120 <xml>{f [nm] [t] [rest] r}{acc}</xml>)
adamc@360 121 <xml/>
adamc@339 122
adamc@332 123 fun foldTRX2 (tf1 :: Type -> Type) (tf2 :: Type -> Type) (ctx :: {Unit})
adamc@356 124 (f : nm :: Name -> t :: Type -> rest :: {Type}
adamc@356 125 -> fn [[nm] ~ rest] =>
adamc@356 126 tf1 t -> tf2 t -> xml ctx [] []) =
adamc@356 127 foldTR2 [tf1] [tf2] [fn _ => xml ctx [] []]
adamc@356 128 (fn (nm :: Name) (t :: Type) (rest :: {Type}) [[nm] ~ rest]
adamc@356 129 r1 r2 acc =>
adamc@356 130 <xml>{f [nm] [t] [rest] r1 r2}{acc}</xml>)
adamc@360 131 <xml/>
adamc@334 132
adamc@356 133 fun foldT2RX2 (tf1 :: (Type * Type) -> Type) (tf2 :: (Type * Type) -> Type)
adamc@356 134 (ctx :: {Unit})
adamc@356 135 (f : nm :: Name -> t :: (Type * Type) -> rest :: {(Type * Type)}
adamc@356 136 -> fn [[nm] ~ rest] =>
adamc@356 137 tf1 t -> tf2 t -> xml ctx [] []) =
adamc@356 138 foldT2R2 [tf1] [tf2] [fn _ => xml ctx [] []]
adamc@356 139 (fn (nm :: Name) (t :: (Type * Type)) (rest :: {(Type * Type)})
adamc@356 140 [[nm] ~ rest] r1 r2 acc =>
adamc@356 141 <xml>{f [nm] [t] [rest] r1 r2}{acc}</xml>)
adamc@360 142 <xml/>
adamc@339 143
adamc@356 144 fun queryX (tables ::: {{Type}}) (exps ::: {Type}) (ctx ::: {Unit})
adamc@356 145 (q : sql_query tables exps) [tables ~ exps]
adamc@356 146 (f : $(exps ++ fold (fn nm (fields :: {Type}) acc [[nm] ~ acc] =>
adamc@356 147 [nm = $fields] ++ acc) [] tables)
adamc@356 148 -> xml ctx [] []) =
adamc@356 149 query q
adamc@356 150 (fn fs acc => return <xml>{acc}{f fs}</xml>)
adamc@360 151 <xml/>
adamc@341 152
adamc@356 153 fun oneOrNoRows (tables ::: {{Type}}) (exps ::: {Type})
adamc@356 154 (q : sql_query tables exps) [tables ~ exps] =
adamc@356 155 query q
adamc@356 156 (fn fs _ => return (Some fs))
adamc@356 157 None