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comparison variant.ur @ 21:e7d64ea0f922

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Variant.weaken, mp, and mapR
author Adam Chlipala <adam@chlipala.net>
date Thu, 05 Jan 2012 18:04:04 -0500
parents 296807a9fd50
children ca1c07d49b5e
comparison
equal deleted inserted replaced
20:296807a9fd50 21:e7d64ea0f922
34 34
35 fun testLess [nm :: Name] [t ::: Type] [ts ::: {Type}] [[nm] ~ ts] (fl : folder ts) (v : variant ([nm = t] ++ ts)) : option t = 35 fun testLess [nm :: Name] [t ::: Type] [ts ::: {Type}] [[nm] ~ ts] (fl : folder ts) (v : variant ([nm = t] ++ ts)) : option t =
36 match v ({nm = Some} 36 match v ({nm = Some}
37 ++ @map0 [fn t' => t' -> option t] (fn [t' :: Type] _ => None) fl) 37 ++ @map0 [fn t' => t' -> option t] (fn [t' :: Type] _ => None) fl)
38 38
39 fun weaken [r1 ::: {Type}] [r2 ::: {Type}] [r1 ~ r2] (fl : folder r1) (v : variant r1) : variant (r1 ++ r2) =
40 match v
41 (@fold [fn r => r' :: {Type} -> [r ~ r'] => $(map (fn t => t -> variant (r ++ r')) r)]
42 (fn [nm :: Name] [t ::_] [r ::_] [[nm] ~ r] (acc : r' :: {Type} -> [r ~ r'] => $(map (fn t => t -> variant (r ++ r')) r)) [r'::_] [[nm = t] ++ r ~ r'] =>
43 {nm = make [nm]} ++ acc [[nm = t] ++ r'])
44 (fn [r'::_] [[] ~ r'] => {}) fl [r2] !)
45
39 fun eq [r] (fl : folder r) (v1 : variant (mapU {} r)) (v2 : variant (mapU {} r)) : bool = 46 fun eq [r] (fl : folder r) (v1 : variant (mapU {} r)) (v2 : variant (mapU {} r)) : bool =
40 match v1 47 match v1
41 (@fold [fn r => r' :: {Unit} -> [r ~ r'] => folder (r ++ r') -> variant (mapU {} (r ++ r')) -> $(mapU ({} -> bool) r)] 48 (@fold [fn r => r' :: {Unit} -> [r ~ r'] => folder (r ++ r') -> variant (mapU {} (r ++ r')) -> $(mapU ({} -> bool) r)]
42 (fn [nm ::_] [u ::_] [r ::_] [[nm] ~ r] 49 (fn [nm ::_] [u ::_] [r ::_] [[nm] ~ r]
43 (acc : r' :: {Unit} -> [r ~ r'] => folder (r ++ r') -> variant (mapU {} (r ++ r')) -> $(mapU ({} -> bool) r)) 50 (acc : r' :: {Unit} -> [r ~ r'] => folder (r ++ r') -> variant (mapU {} (r ++ r')) -> $(mapU ({} -> bool) r))
52 (acc : r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> t -> t) -> t -> t) 59 (acc : r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> t -> t) -> t -> t)
53 [r' ::_] [[nm] ++ r ~ r'] f' acc' => 60 [r' ::_] [[nm] ++ r ~ r'] f' acc' =>
54 f' (make [nm] {}) (acc [[nm] ++ r'] f' acc')) 61 f' (make [nm] {}) (acc [[nm] ++ r'] f' acc'))
55 (fn [r' ::_] [[] ~ r'] _ x => x) fl [[]] ! f 62 (fn [r' ::_] [[] ~ r'] _ x => x) fl [[]] ! f
56 63
64 fun mp [r ::: {Unit}] [t ::: Type] (fl : folder r) (f : variant (mapU {} r) -> t) : $(mapU t r) =
65 @Top.fold [fn r => r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> t) -> $(mapU t r)]
66 (fn [nm :: Name] [u ::_] [r ::_] [[nm] ~ r]
67 (acc : r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> t) -> $(mapU t r))
68 [r' ::_] [[nm] ++ r ~ r'] f' =>
69 {nm = f' (make [nm] {})} ++ acc [[nm] ++ r'] f')
70 (fn [r' ::_] [[] ~ r'] _ => {}) fl [[]] ! f
71
57 fun foldR [tr] [r] [t] (fl : folder r) (f : variant (mapU {} r) -> tr -> t -> t) (record : $(mapU tr r)) : t -> t = 72 fun foldR [tr] [r] [t] (fl : folder r) (f : variant (mapU {} r) -> tr -> t -> t) (record : $(mapU tr r)) : t -> t =
58 @Top.foldUR [tr] [fn r => r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> tr -> t -> t) -> t -> t] 73 @Top.foldUR [tr] [fn r => r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> tr -> t -> t) -> t -> t]
59 (fn [nm :: Name] [r ::_] [[nm] ~ r] (v : tr) 74 (fn [nm :: Name] [r ::_] [[nm] ~ r] (v : tr)
60 (acc : r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> tr -> t -> t) -> t -> t) 75 (acc : r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> tr -> t -> t) -> t -> t)
61 [r' ::_] [[nm] ++ r ~ r'] f' acc' => 76 [r' ::_] [[nm] ++ r ~ r'] f' acc' =>
62 f' (make [nm] {}) v (acc [[nm] ++ r'] f' acc')) 77 f' (make [nm] {}) v (acc [[nm] ++ r'] f' acc'))
63 (fn [r' ::_] [[] ~ r'] _ x => x) fl record [[]] ! f 78 (fn [r' ::_] [[] ~ r'] _ x => x) fl record [[]] ! f
64 79
65 fun appR [m] (_ : monad m) [tr] [r] (fl : folder r) (f : variant (mapU {} r) -> tr -> m {}) (record : $(mapU tr r)) : m {} = 80 fun appR [m] (_ : monad m) [tr] [r] (fl : folder r) (f : variant (mapU {} r) -> tr -> m {}) (record : $(mapU tr r)) : m {} =
66 @foldR fl (fn var this acc => f var this; acc) record (return ()) 81 @foldR fl (fn var this acc => f var this; acc) record (return ())
82
83 fun mapR [tr] [t] [r] (fl : folder r) (f : variant (mapU {} r) -> tr -> t) (record : $(mapU tr r)) : $(mapU t r) =
84 @Top.fold [fn r => r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> tr -> t) -> $(mapU tr r) -> $(mapU t r)]
85 (fn [nm :: Name] [u ::_] [r ::_] [[nm] ~ r]
86 (acc : r' :: {Unit} -> [r ~ r'] => (variant (mapU {} (r ++ r')) -> tr -> t) -> $(mapU tr r) -> $(mapU t r))
87 [r' ::_] [[nm] ++ r ~ r'] f' vs =>
88 {nm = f' (make [nm] {}) vs.nm} ++ acc [[nm] ++ r'] f' (vs -- nm))
89 (fn [r' ::_] [[] ~ r'] _ _ => {}) fl [[]] ! f record
67 90
68 fun destrR [K] [f :: K -> Type] [fr :: K -> Type] [t ::: Type] 91 fun destrR [K] [f :: K -> Type] [fr :: K -> Type] [t ::: Type]
69 (f : p :: K -> f p -> fr p -> t) 92 (f : p :: K -> f p -> fr p -> t)
70 [r ::: {K}] (fl : folder r) (v : variant (map f r)) (r : $(map fr r)) : t = 93 [r ::: {K}] (fl : folder r) (v : variant (map f r)) (r : $(map fr r)) : t =
71 match v 94 match v