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Tutorial: link to demo and manual
author Adam Chlipala <adam@chlipala.net>
date Sun, 17 Jul 2011 14:49:52 -0400
parents 18d18a70821e
children a613cae954ca
rev   line source
adamc@834 1 fun exec [m ::: Type -> Type] (_ : monad m) [ts ::: {Type}] r (fd : folder ts) =
adamc@1093 2 @foldR [m] [fn ts => m $ts]
adamc@1093 3 (fn [nm :: Name] [v :: Type] [rest :: {Type}] [[nm] ~ rest] action acc =>
adamc@1093 4 this <- action;
adamc@1093 5 others <- acc;
adamc@1093 6 return ({nm = this} ++ others))
adamc@1093 7 (return {}) fd r
adamc@898 8
adamc@898 9 fun ignore [m ::: Type -> Type] (_ : monad m) [t] (v : m t) = x <- v; return ()
adamc@905 10
adamc@917 11 fun mp [m] (_ : monad m) [a] [b] f m =
adamc@917 12 v <- m;
adamc@917 13 return (f v)
adamc@917 14
adamc@905 15 fun foldR [K] [m] (_ : monad m) [tf :: K -> Type] [tr :: {K} -> Type]
adamc@905 16 (f : nm :: Name -> t :: K -> rest :: {K}
adamc@905 17 -> [[nm] ~ rest] =>
adamc@905 18 tf t -> tr rest -> m (tr ([nm = t] ++ rest)))
adamc@1093 19 (i : tr []) [r ::: {K}] (fl : folder r) =
adamc@1093 20 @Top.fold [fn r :: {K} => $(map tf r) -> m (tr r)]
adamc@1093 21 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest]
adamc@1093 22 (acc : _ -> m (tr rest)) r =>
adamc@1093 23 acc' <- acc (r -- nm);
adam@1472 24 f [nm] [t] [rest] r.nm acc')
adamc@1093 25 (fn _ => return i)
adamc@1093 26 fl
adamc@905 27
adamc@905 28 fun foldR2 [K] [m] (_ : monad m) [tf1 :: K -> Type] [tf2 :: K -> Type] [tr :: {K} -> Type]
adamc@905 29 (f : nm :: Name -> t :: K -> rest :: {K}
adamc@905 30 -> [[nm] ~ rest] =>
adamc@905 31 tf1 t -> tf2 t -> tr rest -> m (tr ([nm = t] ++ rest)))
adamc@1093 32 (i : tr []) [r ::: {K}] (fl : folder r) =
adamc@1093 33 @Top.fold [fn r :: {K} => $(map tf1 r) -> $(map tf2 r) -> m (tr r)]
adamc@1093 34 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest]
adamc@1093 35 (acc : _ -> _ -> m (tr rest)) r1 r2 =>
adamc@1093 36 acc' <- acc (r1 -- nm) (r2 -- nm);
adam@1472 37 f [nm] [t] [rest] r1.nm r2.nm acc')
adamc@1093 38 (fn _ _ => return i)
adamc@1093 39 fl
adamc@905 40
adamc@910 41 fun foldR3 [K] [m] (_ : monad m) [tf1 :: K -> Type] [tf2 :: K -> Type] [tf3 :: K -> Type] [tr :: {K} -> Type]
adamc@910 42 (f : nm :: Name -> t :: K -> rest :: {K}
adamc@910 43 -> [[nm] ~ rest] =>
adamc@910 44 tf1 t -> tf2 t -> tf3 t -> tr rest -> m (tr ([nm = t] ++ rest)))
adamc@1093 45 (i : tr []) [r ::: {K}] (fl : folder r) =
adamc@1093 46 @Top.fold [fn r :: {K} => $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> m (tr r)]
adamc@1093 47 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest]
adamc@1093 48 (acc : _ -> _ -> _ -> m (tr rest)) r1 r2 r3 =>
adamc@1093 49 acc' <- acc (r1 -- nm) (r2 -- nm) (r3 -- nm);
adam@1472 50 f [nm] [t] [rest] r1.nm r2.nm r3.nm acc')
adamc@1093 51 (fn _ _ _ => return i)
adamc@1093 52 fl
adamc@910 53
adamc@1172 54 fun mapR0 [K] [m] (_ : monad m) [tr :: K -> Type]
adamc@1172 55 (f : nm :: Name -> t :: K -> m (tr t)) [r ::: {K}] (fl : folder r) =
adamc@1172 56 @Top.fold [fn r => m ($(map tr r))]
adamc@1172 57 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] (acc : m ($(map tr rest))) =>
adamc@1172 58 v <- f [nm] [t];
adamc@1172 59 vs <- acc;
adamc@1172 60 return (vs ++ {nm = v}))
adamc@1172 61 (return {})
adamc@1172 62 fl
adamc@1172 63
adamc@905 64 fun mapR [K] [m] (_ : monad m) [tf :: K -> Type] [tr :: K -> Type]
adamc@905 65 (f : nm :: Name -> t :: K -> tf t -> m (tr t)) =
adamc@905 66 @@foldR [m] _ [tf] [fn r => $(map tr r)]
adamc@905 67 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] (v : tf t)
adamc@905 68 (acc : $(map tr rest)) =>
adamc@905 69 v' <- f [nm] [t] v;
adamc@905 70 return (acc ++ {nm = v'}))
adamc@905 71 {}
adamc@937 72
adamc@937 73 fun mapR2 [K] [m] (_ : monad m) [tf1 :: K -> Type] [tf2 :: K -> Type] [tr :: K -> Type]
adamc@937 74 (f : nm :: Name -> t :: K -> tf1 t -> tf2 t -> m (tr t)) =
adamc@937 75 @@foldR2 [m] _ [tf1] [tf2] [fn r => $(map tr r)]
adamc@937 76 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] (v1 : tf1 t) (v2 : tf2 t)
adamc@937 77 (acc : $(map tr rest)) =>
adamc@937 78 v' <- f [nm] [t] v1 v2;
adamc@937 79 return (acc ++ {nm = v'}))
adamc@937 80 {}
adamc@1175 81
adamc@1175 82 fun foldMapR [K] [m] (_ : monad m) [tf :: K -> Type] [tf' :: K -> Type] [tr :: {K} -> Type]
adamc@1175 83 (f : nm :: Name -> t :: K -> rest :: {K}
adamc@1175 84 -> [[nm] ~ rest] =>
adamc@1175 85 tf t -> tr rest -> m (tf' t * tr ([nm = t] ++ rest)))
adamc@1175 86 (i : tr []) [r ::: {K}] (fl : folder r) =
adamc@1175 87 @Top.fold [fn r :: {K} => $(map tf r) -> m ($(map tf' r) * tr r)]
adamc@1175 88 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest]
adamc@1175 89 (acc : _ -> m ($(map tf' rest) * tr rest)) r =>
adamc@1175 90 p <- acc (r -- nm);
adam@1472 91 p' <- f [nm] [t] [rest] r.nm p.2;
adamc@1175 92 return ({nm = p'.1} ++ p.1, p'.2))
adamc@1175 93 (fn _ => return ({}, i))
adamc@1175 94 fl
adamc@1257 95
adam@1312 96 fun appR [K] [m] (_ : monad m) [tf :: K -> Type]
adam@1312 97 (f : nm :: Name -> t :: K -> tf t -> m unit)
adam@1312 98 [r ::: {K}] (fl : folder r) =
adam@1312 99 @Top.fold [fn r :: {K} => $(map tf r) -> m unit]
adam@1312 100 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] acc r =>
adam@1312 101 acc (r -- nm);
adam@1312 102 f [nm] [t] r.nm)
adam@1312 103 (fn _ => return ())
adam@1312 104 fl
adam@1312 105
adamc@1257 106 fun appR2 [K] [m] (_ : monad m) [tf1 :: K -> Type] [tf2 :: K -> Type]
adam@1310 107 (f : nm :: Name -> t :: K -> tf1 t -> tf2 t -> m unit)
adamc@1257 108 [r ::: {K}] (fl : folder r) =
adamc@1257 109 @Top.fold [fn r :: {K} => $(map tf1 r) -> $(map tf2 r) -> m unit]
adamc@1257 110 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] acc r1 r2 =>
adamc@1257 111 acc (r1 -- nm) (r2 -- nm);
adam@1310 112 f [nm] [t] r1.nm r2.nm)
adamc@1257 113 (fn _ _ => return ())
adamc@1257 114 fl
adam@1313 115
adam@1313 116 fun appR3 [K] [m] (_ : monad m) [tf1 :: K -> Type] [tf2 :: K -> Type] [tf3 :: K -> Type]
adam@1313 117 (f : nm :: Name -> t :: K -> tf1 t -> tf2 t -> tf3 t -> m unit)
adam@1313 118 [r ::: {K}] (fl : folder r) =
adam@1313 119 @Top.fold [fn r :: {K} => $(map tf1 r) -> $(map tf2 r) -> $(map tf3 r) -> m unit]
adam@1313 120 (fn [nm :: Name] [t :: K] [rest :: {K}] [[nm] ~ rest] acc r1 r2 r3 =>
adam@1313 121 acc (r1 -- nm) (r2 -- nm) (r3 -- nm);
adam@1313 122 f [nm] [t] r1.nm r2.nm r3.nm)
adam@1313 123 (fn _ _ _ => return ())
adam@1313 124 fl