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Top.Fold.mp
author Adam Chlipala <adamc@hcoop.net>
date Tue, 24 Feb 2009 13:50:39 -0500
parents e68de2a5506b
children effa7d43aac3
rev   line source
adamc@623 1 (** Row folding *)
adamc@623 2
adamc@623 3 con folder = K ==> fn r :: {K} =>
adamc@623 4 tf :: ({K} -> Type)
adamc@623 5 -> (nm :: Name -> v :: K -> r :: {K} -> tf r
adamc@629 6 -> [[nm] ~ r] => tf ([nm = v] ++ r))
adamc@623 7 -> tf [] -> tf r
adamc@623 8
adamc@627 9 structure Folder = struct
adamc@627 10 fun nil K (tf :: {K} -> Type)
adamc@627 11 (f : nm :: Name -> v :: K -> r :: {K} -> tf r
adamc@629 12 -> [[nm] ~ r] => tf ([nm = v] ++ r))
adamc@627 13 (i : tf []) = i
adamc@627 14
adamc@627 15 fun cons K (r ::: {K}) (nm :: Name) (v :: K) [[nm] ~ r] (fold : folder r)
adamc@627 16 (tf :: {K} -> Type)
adamc@627 17 (f : nm :: Name -> v :: K -> r :: {K} -> tf r
adamc@629 18 -> [[nm] ~ r] => tf ([nm = v] ++ r))
adamc@629 19 (i : tf []) = f [nm] [v] [r] (fold [tf] f i) !
adamc@628 20
adamc@628 21 fun concat K (r1 ::: {K}) (r2 ::: {K}) [r1 ~ r2]
adamc@628 22 (f1 : folder r1) (f2 : folder r2)
adamc@628 23 (tf :: {K} -> Type)
adamc@628 24 (f : nm :: Name -> v :: K -> r :: {K} -> tf r
adamc@629 25 -> [[nm] ~ r] => tf ([nm = v] ++ r))
adamc@628 26 (i : tf []) =
adamc@629 27 f1 [fn r1' => [r1' ~ r2] => tf (r1' ++ r2)]
adamc@629 28 (fn (nm :: Name) (v :: K) (r1' :: {K}) (acc : [r1' ~ r2] => tf (r1' ++ r2))
adamc@628 29 [[nm] ~ r1'] [[nm = v] ++ r1' ~ r2] =>
adamc@629 30 f [nm] [v] [r1' ++ r2] acc !)
adamc@629 31 (fn [[] ~ r2] => f2 [tf] f i) !
adamc@630 32
adamc@630 33 fun mp K1 K2 (f ::: K1 -> K2) (r ::: {K1})
adamc@630 34 (fold : folder r)
adamc@630 35 (tf :: {K2} -> Type)
adamc@630 36 (f : nm :: Name -> v :: K2 -> r :: {K2} -> tf r
adamc@630 37 -> [[nm] ~ r] => tf ([nm = v] ++ r))
adamc@630 38 (i : tf []) =
adamc@630 39 fold [fn r => tf (map f r)]
adamc@630 40 (fn (nm :: Name) (v :: K1) (rest :: {K1}) (acc : tf (map f rest)) [[nm] ~ rest] =>
adamc@630 41 f [nm] [f v] [map f rest] acc !)
adamc@630 42 i
adamc@627 43 end
adamc@627 44
adamc@623 45
adamc@422 46 fun not b = if b then False else True
adamc@422 47
adamc@356 48 con idT (t :: Type) = t
adamc@356 49 con record (t :: {Type}) = $t
adamc@356 50 con fstTT (t :: (Type * Type)) = t.1
adamc@356 51 con sndTT (t :: (Type * Type)) = t.2
adamc@445 52 con fstTTT (t :: (Type * Type * Type)) = t.1
adamc@445 53 con sndTTT (t :: (Type * Type * Type)) = t.2
adamc@445 54 con thdTTT (t :: (Type * Type * Type)) = t.3
adamc@329 55
adamc@621 56 con mapUT = fn f :: Type => map (fn _ :: Unit => f)
adamc@445 57
adamc@339 58 con ex = fn tf :: (Type -> Type) =>
adamc@356 59 res ::: Type -> (choice :: Type -> tf choice -> res) -> res
adamc@339 60
adamc@339 61 fun ex (tf :: (Type -> Type)) (choice :: Type) (body : tf choice) : ex tf =
adamc@356 62 fn (res ::: Type) (f : choice :: Type -> tf choice -> res) =>
adamc@356 63 f [choice] body
adamc@339 64
adamc@356 65 fun compose (t1 ::: Type) (t2 ::: Type) (t3 ::: Type)
adamc@356 66 (f1 : t2 -> t3) (f2 : t1 -> t2) (x : t1) = f1 (f2 x)
adamc@325 67
adamc@564 68 fun txt (t ::: Type) (ctx ::: {Unit}) (use ::: {Type}) (_ : show t) (v : t) =
adamc@564 69 cdata (show v)
adamc@328 70
adamc@411 71 fun foldUR (tf :: Type) (tr :: {Unit} -> Type)
adamc@411 72 (f : nm :: Name -> rest :: {Unit}
adamc@629 73 -> [[nm] ~ rest] =>
adamc@411 74 tf -> tr rest -> tr ([nm] ++ rest))
adamc@623 75 (i : tr []) (r ::: {Unit}) (fold : folder r)=
adamc@411 76 fold [fn r :: {Unit} => $(mapUT tf r) -> tr r]
adamc@623 77 (fn (nm :: Name) (t :: Unit) (rest :: {Unit}) acc
adamc@623 78 [[nm] ~ rest] r =>
adamc@629 79 f [nm] [rest] ! r.nm (acc (r -- nm)))
adamc@623 80 (fn _ => i)
adamc@411 81
adamc@418 82 fun foldUR2 (tf1 :: Type) (tf2 :: Type) (tr :: {Unit} -> Type)
adamc@418 83 (f : nm :: Name -> rest :: {Unit}
adamc@629 84 -> [[nm] ~ rest] =>
adamc@418 85 tf1 -> tf2 -> tr rest -> tr ([nm] ++ rest))
adamc@623 86 (i : tr []) (r ::: {Unit}) (fold : folder r) =
adamc@418 87 fold [fn r :: {Unit} => $(mapUT tf1 r) -> $(mapUT tf2 r) -> tr r]
adamc@623 88 (fn (nm :: Name) (t :: Unit) (rest :: {Unit}) acc
adamc@623 89 [[nm] ~ rest] r1 r2 =>
adamc@629 90 f [nm] [rest] ! r1.nm r2.nm (acc (r1 -- nm) (r2 -- nm)))
adamc@623 91 (fn _ _ => i)
adamc@418 92
adamc@418 93 fun foldURX2 (tf1 :: Type) (tf2 :: Type) (ctx :: {Unit})
adamc@418 94 (f : nm :: Name -> rest :: {Unit}
adamc@629 95 -> [[nm] ~ rest] =>
adamc@418 96 tf1 -> tf2 -> xml ctx [] []) =
adamc@418 97 foldUR2 [tf1] [tf2] [fn _ => xml ctx [] []]
adamc@418 98 (fn (nm :: Name) (rest :: {Unit}) [[nm] ~ rest] v1 v2 acc =>
adamc@629 99 <xml>{f [nm] [rest] ! v1 v2}{acc}</xml>)
adamc@418 100 <xml/>
adamc@418 101
adamc@623 102 fun foldR K (tf :: K -> Type) (tr :: {K} -> Type)
adamc@623 103 (f : nm :: Name -> t :: K -> rest :: {K}
adamc@629 104 -> [[nm] ~ rest] =>
adamc@356 105 tf t -> tr rest -> tr ([nm = t] ++ rest))
adamc@623 106 (i : tr []) (r ::: {K}) (fold : folder r) =
adamc@623 107 fold [fn r :: {K} => $(map tf r) -> tr r]
adamc@623 108 (fn (nm :: Name) (t :: K) (rest :: {K}) (acc : _ -> tr rest)
adamc@356 109 [[nm] ~ rest] r =>
adamc@629 110 f [nm] [t] [rest] ! r.nm (acc (r -- nm)))
adamc@356 111 (fn _ => i)
adamc@336 112
adamc@623 113 fun foldR2 K (tf1 :: K -> Type) (tf2 :: K -> Type) (tr :: {K} -> Type)
adamc@623 114 (f : nm :: Name -> t :: K -> rest :: {K}
adamc@629 115 -> [[nm] ~ rest] =>
adamc@367 116 tf1 t -> tf2 t -> tr rest -> tr ([nm = t] ++ rest))
adamc@623 117 (i : tr []) (r ::: {K}) (fold : folder r) =
adamc@623 118 fold [fn r :: {K} => $(map tf1 r) -> $(map tf2 r) -> tr r]
adamc@623 119 (fn (nm :: Name) (t :: K) (rest :: {K})
adamc@623 120 (acc : _ -> _ -> tr rest) [[nm] ~ rest] r1 r2 =>
adamc@629 121 f [nm] [t] [rest] ! r1.nm r2.nm (acc (r1 -- nm) (r2 -- nm)))
adamc@623 122 (fn _ _ => i)
adamc@332 123
adamc@623 124 fun foldRX K (tf :: K -> Type) (ctx :: {Unit})
adamc@623 125 (f : nm :: Name -> t :: K -> rest :: {K}
adamc@629 126 -> [[nm] ~ rest] =>
adamc@356 127 tf t -> xml ctx [] []) =
adamc@623 128 foldR [tf] [fn _ => xml ctx [] []]
adamc@623 129 (fn (nm :: Name) (t :: K) (rest :: {K}) [[nm] ~ rest] r acc =>
adamc@629 130 <xml>{f [nm] [t] [rest] ! r}{acc}</xml>)
adamc@623 131 <xml/>
adamc@336 132
adamc@623 133 fun foldRX2 K (tf1 :: K -> Type) (tf2 :: K -> Type) (ctx :: {Unit})
adamc@623 134 (f : nm :: Name -> t :: K -> rest :: {K}
adamc@629 135 -> [[nm] ~ rest] =>
adamc@356 136 tf1 t -> tf2 t -> xml ctx [] []) =
adamc@623 137 foldR2 [tf1] [tf2] [fn _ => xml ctx [] []]
adamc@623 138 (fn (nm :: Name) (t :: K) (rest :: {K}) [[nm] ~ rest]
adamc@623 139 r1 r2 acc =>
adamc@629 140 <xml>{f [nm] [t] [rest] ! r1 r2}{acc}</xml>)
adamc@623 141 <xml/>
adamc@445 142
adamc@356 143 fun queryX (tables ::: {{Type}}) (exps ::: {Type}) (ctx ::: {Unit})
adamc@356 144 (q : sql_query tables exps) [tables ~ exps]
adamc@621 145 (f : $(exps ++ map (fn fields :: {Type} => $fields) tables)
adamc@356 146 -> xml ctx [] []) =
adamc@356 147 query q
adamc@356 148 (fn fs acc => return <xml>{acc}{f fs}</xml>)
adamc@360 149 <xml/>
adamc@341 150
adamc@469 151 fun queryX' (tables ::: {{Type}}) (exps ::: {Type}) (ctx ::: {Unit})
adamc@469 152 (q : sql_query tables exps) [tables ~ exps]
adamc@621 153 (f : $(exps ++ map (fn fields :: {Type} => $fields) tables)
adamc@469 154 -> transaction (xml ctx [] [])) =
adamc@469 155 query q
adamc@469 156 (fn fs acc =>
adamc@469 157 r <- f fs;
adamc@469 158 return <xml>{acc}{r}</xml>)
adamc@469 159 <xml/>
adamc@469 160
adamc@356 161 fun oneOrNoRows (tables ::: {{Type}}) (exps ::: {Type})
adamc@629 162 [tables ~ exps]
adamc@629 163 (q : sql_query tables exps) =
adamc@356 164 query q
adamc@356 165 (fn fs _ => return (Some fs))
adamc@356 166 None
adamc@440 167
adamc@440 168 fun oneRow (tables ::: {{Type}}) (exps ::: {Type})
adamc@629 169 [tables ~ exps] (q : sql_query tables exps) =
adamc@440 170 o <- oneOrNoRows q;
adamc@440 171 return (case o of
adamc@440 172 None => error <xml>Query returned no rows</xml>
adamc@440 173 | Some r => r)
adamc@440 174
adamc@470 175 fun eqNullable (tables ::: {{Type}}) (agg ::: {{Type}}) (exps ::: {Type})
adamc@470 176 (t ::: Type) (_ : sql_injectable (option t))
adamc@470 177 (e1 : sql_exp tables agg exps (option t))
adamc@470 178 (e2 : sql_exp tables agg exps (option t)) =
adamc@471 179 (SQL ({e1} IS NULL AND {e2} IS NULL) OR {e1} = {e2})
adamc@470 180
adamc@470 181 fun eqNullable' (tables ::: {{Type}}) (agg ::: {{Type}}) (exps ::: {Type})
adamc@564 182 (t ::: Type) (_ : sql_injectable (option t))
adamc@470 183 (e1 : sql_exp tables agg exps (option t))
adamc@470 184 (e2 : option t) =
adamc@470 185 case e2 of
adamc@471 186 None => (SQL {e1} IS NULL)
adamc@564 187 | Some _ => sql_binary sql_eq e1 (sql_inject e2)