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Fix MonoReduce unsoundness with lets and fns
author Adam Chlipala <adamc@hcoop.net>
date Sat, 13 Jun 2009 15:42:24 -0400
parents d4e811beb8eb
children d1d0b18afd3d
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@653 5 -> (nm :: Name -> v :: K -> r :: {K} -> [[nm] ~ r] =>
adamc@653 6 tf r -> tf ([nm = v] ++ r))
adamc@623 7 -> tf [] -> tf r
adamc@623 8
adamc@822 9 fun fold [K] [tf :: {K} -> Type]
adamc@653 10 (f : (nm :: Name -> v :: K -> r :: {K} -> [[nm] ~ r] =>
adamc@653 11 tf r -> tf ([nm = v] ++ r)))
adamc@822 12 (i : tf []) [r :: {K}] (fl : folder r) = fl [tf] f i
adamc@653 13
adamc@627 14 structure Folder = struct
adamc@822 15 fun nil [K] [tf :: {K} -> Type]
adamc@653 16 (f : nm :: Name -> v :: K -> r :: {K} -> [[nm] ~ r] =>
adamc@653 17 tf r -> tf ([nm = v] ++ r))
adamc@627 18 (i : tf []) = i
adamc@627 19
adamc@822 20 fun cons [K] [r ::: {K}] [nm :: Name] [v :: K] [[nm] ~ r] (fold : folder r)
adamc@822 21 [tf :: {K} -> Type]
adamc@653 22 (f : nm :: Name -> v :: K -> r :: {K} -> [[nm] ~ r] =>
adamc@653 23 tf r -> tf ([nm = v] ++ r))
adamc@653 24 (i : tf []) = f [nm] [v] [r] ! (fold [tf] f i)
adamc@628 25
adamc@822 26 fun concat [K] [r1 ::: {K}] [r2 ::: {K}] [r1 ~ r2]
adamc@628 27 (f1 : folder r1) (f2 : folder r2)
adamc@822 28 [tf :: {K} -> Type]
adamc@653 29 (f : nm :: Name -> v :: K -> r :: {K} -> [[nm] ~ r] =>
adamc@653 30 tf r -> tf ([nm = v] ++ r))
adamc@628 31 (i : tf []) =
adamc@629 32 f1 [fn r1' => [r1' ~ r2] => tf (r1' ++ r2)]
adamc@822 33 (fn [nm :: Name] [v :: K] [r1' :: {K}] [[nm] ~ r1']
adamc@653 34 (acc : [r1' ~ r2] => tf (r1' ++ r2))
adamc@653 35 [[nm = v] ++ r1' ~ r2] =>
adamc@653 36 f [nm] [v] [r1' ++ r2] ! acc)
adamc@629 37 (fn [[] ~ r2] => f2 [tf] f i) !
adamc@630 38
adamc@822 39 fun mp [K1] [K2] [f ::: K1 -> K2] [r ::: {K1}]
adamc@630 40 (fold : folder r)
adamc@822 41 [tf :: {K2} -> Type]
adamc@653 42 (f : nm :: Name -> v :: K2 -> r :: {K2} -> [[nm] ~ r] =>
adamc@653 43 tf r -> tf ([nm = v] ++ r))
adamc@630 44 (i : tf []) =
adamc@630 45 fold [fn r => tf (map f r)]
adamc@822 46 (fn [nm :: Name] [v :: K1] [rest :: {K1}] [[nm] ~ rest] (acc : tf (map f rest)) =>
adamc@653 47 f [nm] [f v] [map f rest] ! acc)
adamc@630 48 i
adamc@627 49 end
adamc@627 50
adamc@623 51
adamc@422 52 fun not b = if b then False else True
adamc@422 53
adamc@356 54 con idT (t :: Type) = t
adamc@356 55 con record (t :: {Type}) = $t
adamc@637 56 con fst = K1 ==> K2 ==> fn t :: (K1 * K2) => t.1
adamc@637 57 con snd = K1 ==> K2 ==> fn t :: (K1 * K2) => t.2
adamc@637 58 con fst3 = K1 ==> K2 ==> K3 ==> fn t :: (K1 * K2 * K3) => t.1
adamc@637 59 con snd3 = K1 ==> K2 ==> K3 ==> fn t :: (K1 * K2 * K3) => t.2
adamc@637 60 con thd3 = K1 ==> K2 ==> K3 ==> fn t :: (K1 * K2 * K3) => t.3
adamc@329 61
adamc@643 62 con mapU = K ==> fn f :: K => map (fn _ :: Unit => f)
adamc@445 63
adamc@339 64 con ex = fn tf :: (Type -> Type) =>
adamc@356 65 res ::: Type -> (choice :: Type -> tf choice -> res) -> res
adamc@339 66
adamc@822 67 fun ex [tf :: (Type -> Type)] [choice :: Type] (body : tf choice) : ex tf =
adamc@822 68 fn [res] (f : choice :: Type -> tf choice -> res) =>
adamc@356 69 f [choice] body
adamc@339 70
adamc@822 71 fun compose [t1 ::: Type] [t2 ::: Type] [t3 ::: Type]
adamc@356 72 (f1 : t2 -> t3) (f2 : t1 -> t2) (x : t1) = f1 (f2 x)
adamc@325 73
adamc@822 74 fun show_option [t ::: Type] (_ : show t) =
adamc@777 75 mkShow (fn opt : option t =>
adamc@777 76 case opt of
adamc@777 77 None => ""
adamc@777 78 | Some x => show x)
adamc@777 79
adamc@822 80 fun read_option [t ::: Type] (_ : read t) =
adamc@777 81 mkRead (fn s =>
adamc@777 82 case s of
adamc@777 83 "" => None
adamc@777 84 | _ => Some (readError s : t))
adamc@777 85 (fn s =>
adamc@777 86 case s of
adamc@777 87 "" => Some None
adamc@777 88 | _ => case read s of
adamc@777 89 None => None
adamc@777 90 | v => Some v)
adamc@777 91
adamc@822 92 fun txt [t] [ctx ::: {Unit}] [use ::: {Type}] (_ : show t) (v : t) =
adamc@564 93 cdata (show v)
adamc@328 94
adamc@822 95 fun foldUR [tf :: Type] [tr :: {Unit} -> Type]
adamc@411 96 (f : nm :: Name -> rest :: {Unit}
adamc@629 97 -> [[nm] ~ rest] =>
adamc@411 98 tf -> tr rest -> tr ([nm] ++ rest))
adamc@822 99 (i : tr []) [r :: {Unit}] (fl : folder r)=
adamc@653 100 fl [fn r :: {Unit} => $(mapU tf r) -> tr r]
adamc@822 101 (fn [nm :: Name] [t :: Unit] [rest :: {Unit}] [[nm] ~ rest] acc r =>
adamc@653 102 f [nm] [rest] ! r.nm (acc (r -- nm)))
adamc@653 103 (fn _ => i)
adamc@411 104
adamc@822 105 fun foldUR2 [tf1 :: Type] [tf2 :: Type] [tr :: {Unit} -> Type]
adamc@418 106 (f : nm :: Name -> rest :: {Unit}
adamc@629 107 -> [[nm] ~ rest] =>
adamc@418 108 tf1 -> tf2 -> tr rest -> tr ([nm] ++ rest))
adamc@822 109 (i : tr []) [r :: {Unit}] (fl : folder r) =
adamc@653 110 fl [fn r :: {Unit} => $(mapU tf1 r) -> $(mapU tf2 r) -> tr r]
adamc@822 111 (fn [nm :: Name] [t :: Unit] [rest :: {Unit}] [[nm] ~ rest] acc r1 r2 =>
adamc@653 112 f [nm] [rest] ! r1.nm r2.nm (acc (r1 -- nm) (r2 -- nm)))
adamc@653 113 (fn _ _ => i)
adamc@418 114
adamc@822 115 fun foldURX2 [tf1 :: Type] [tf2 :: Type] [ctx :: {Unit}]
adamc@418 116 (f : nm :: Name -> rest :: {Unit}
adamc@629 117 -> [[nm] ~ rest] =>
adamc@720 118 tf1 -> tf2 -> xml ctx [] []) =
adamc@720 119 foldUR2 [tf1] [tf2] [fn _ => xml ctx [] []]
adamc@822 120 (fn [nm :: Name] [rest :: {Unit}] [[nm] ~ rest] v1 v2 acc =>
adamc@629 121 <xml>{f [nm] [rest] ! v1 v2}{acc}</xml>)
adamc@418 122 <xml/>
adamc@418 123
adamc@822 124 fun foldR [K] [tf :: K -> Type] [tr :: {K} -> Type]
adamc@623 125 (f : nm :: Name -> t :: K -> rest :: {K}
adamc@629 126 -> [[nm] ~ rest] =>
adamc@356 127 tf t -> tr rest -> tr ([nm = t] ++ rest))
adamc@822 128 (i : tr []) [r :: {K}] (fl : folder r) =
adamc@653 129 fl [fn r :: {K} => $(map tf r) -> tr r]
adamc@822 130 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] (acc : _ -> tr rest) r =>
adamc@653 131 f [nm] [t] [rest] ! r.nm (acc (r -- nm)))
adamc@653 132 (fn _ => i)
adamc@336 133
adamc@822 134 fun foldR2 [K] [tf1 :: K -> Type] [tf2 :: K -> Type] [tr :: {K} -> Type]
adamc@623 135 (f : nm :: Name -> t :: K -> rest :: {K}
adamc@629 136 -> [[nm] ~ rest] =>
adamc@367 137 tf1 t -> tf2 t -> tr rest -> tr ([nm = t] ++ rest))
adamc@822 138 (i : tr []) [r :: {K}] (fl : folder r) =
adamc@653 139 fl [fn r :: {K} => $(map tf1 r) -> $(map tf2 r) -> tr r]
adamc@822 140 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest]
adamc@653 141 (acc : _ -> _ -> tr rest) r1 r2 =>
adamc@653 142 f [nm] [t] [rest] ! r1.nm r2.nm (acc (r1 -- nm) (r2 -- nm)))
adamc@653 143 (fn _ _ => i)
adamc@332 144
adamc@822 145 fun foldRX [K] [tf :: K -> Type] [ctx :: {Unit}]
adamc@623 146 (f : nm :: Name -> t :: K -> rest :: {K}
adamc@629 147 -> [[nm] ~ rest] =>
adamc@720 148 tf t -> xml ctx [] []) =
adamc@720 149 foldR [tf] [fn _ => xml ctx [] []]
adamc@822 150 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] r acc =>
adamc@629 151 <xml>{f [nm] [t] [rest] ! r}{acc}</xml>)
adamc@623 152 <xml/>
adamc@336 153
adamc@822 154 fun foldRX2 [K] [tf1 :: K -> Type] [tf2 :: K -> Type] [ctx :: {Unit}]
adamc@623 155 (f : nm :: Name -> t :: K -> rest :: {K}
adamc@629 156 -> [[nm] ~ rest] =>
adamc@720 157 tf1 t -> tf2 t -> xml ctx [] []) =
adamc@720 158 foldR2 [tf1] [tf2] [fn _ => xml ctx [] []]
adamc@822 159 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest]
adamc@623 160 r1 r2 acc =>
adamc@629 161 <xml>{f [nm] [t] [rest] ! r1 r2}{acc}</xml>)
adamc@623 162 <xml/>
adamc@445 163
adamc@822 164 fun queryI [tables ::: {{Type}}] [exps ::: {Type}]
adamc@682 165 [tables ~ exps] (q : sql_query tables exps)
adamc@682 166 (f : $(exps ++ map (fn fields :: {Type} => $fields) tables)
adamc@682 167 -> transaction unit) =
adamc@682 168 query q
adamc@682 169 (fn fs _ => f fs)
adamc@682 170 ()
adamc@682 171
adamc@822 172 fun queryX [tables ::: {{Type}}] [exps ::: {Type}] [ctx ::: {Unit}]
adamc@632 173 [tables ~ exps] (q : sql_query tables exps)
adamc@621 174 (f : $(exps ++ map (fn fields :: {Type} => $fields) tables)
adamc@720 175 -> xml ctx [] []) =
adamc@356 176 query q
adamc@356 177 (fn fs acc => return <xml>{acc}{f fs}</xml>)
adamc@360 178 <xml/>
adamc@341 179
adamc@822 180 fun queryX' [tables ::: {{Type}}] [exps ::: {Type}] [ctx ::: {Unit}]
adamc@632 181 [tables ~ exps] (q : sql_query tables exps)
adamc@621 182 (f : $(exps ++ map (fn fields :: {Type} => $fields) tables)
adamc@720 183 -> transaction (xml ctx [] [])) =
adamc@469 184 query q
adamc@469 185 (fn fs acc =>
adamc@469 186 r <- f fs;
adamc@469 187 return <xml>{acc}{r}</xml>)
adamc@469 188 <xml/>
adamc@469 189
adamc@822 190 fun oneOrNoRows [tables ::: {{Type}}] [exps ::: {Type}]
adamc@629 191 [tables ~ exps]
adamc@629 192 (q : sql_query tables exps) =
adamc@356 193 query q
adamc@356 194 (fn fs _ => return (Some fs))
adamc@356 195 None
adamc@440 196
adamc@822 197 fun oneRow [tables ::: {{Type}}] [exps ::: {Type}]
adamc@822 198 [tables ~ exps] (q : sql_query tables exps) =
adamc@440 199 o <- oneOrNoRows q;
adamc@440 200 return (case o of
adamc@440 201 None => error <xml>Query returned no rows</xml>
adamc@440 202 | Some r => r)
adamc@440 203
adamc@822 204 fun eqNullable [tables ::: {{Type}}] [agg ::: {{Type}}] [exps ::: {Type}]
adamc@822 205 [t ::: Type] (_ : sql_injectable (option t))
adamc@470 206 (e1 : sql_exp tables agg exps (option t))
adamc@470 207 (e2 : sql_exp tables agg exps (option t)) =
adamc@471 208 (SQL ({e1} IS NULL AND {e2} IS NULL) OR {e1} = {e2})
adamc@470 209
adamc@822 210 fun eqNullable' [tables ::: {{Type}}] [agg ::: {{Type}}] [exps ::: {Type}]
adamc@822 211 [t ::: Type] (_ : sql_injectable (option t))
adamc@470 212 (e1 : sql_exp tables agg exps (option t))
adamc@470 213 (e2 : option t) =
adamc@470 214 case e2 of
adamc@471 215 None => (SQL {e1} IS NULL)
adamc@564 216 | Some _ => sql_binary sql_eq e1 (sql_inject e2)