Transfer: derive instances, not functions.

This commit is contained in:
bringert
2005-11-30 18:42:45 +00:00
parent 9664d6c886
commit 8460fbef67
6 changed files with 47 additions and 47 deletions

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@@ -111,23 +111,31 @@ type Derivator = Ident -> Exp -> [(Ident,Exp)] -> C [Decl]
derivators :: [(String, Derivator)]
derivators = [
("composOp", deriveComposOp),
("composFold", deriveComposFold),
("show", deriveShow),
("eq", deriveEq),
("ord", deriveOrd)
("Compos", deriveCompos),
("Show", deriveShow),
("Eq", deriveEq),
("Ord", deriveOrd)
]
deriveComposOp :: Derivator
deriveCompos :: Derivator
deriveCompos t@(Ident ts) k cs =
do
co <- deriveComposOp t k cs
cf <- deriveComposFold t k cs
let [c] = argumentTypes k -- FIXME: what if there is not exactly one argument to t?
d = Ident ("compos_"++ts)
dt = apply (EVar (Ident "Compos")) [c, EVar t]
r = ERec [FieldValue (Ident "composOp") co,
FieldValue (Ident "composFold") cf]
return [TypeDecl d dt, ValueDecl d [] r]
deriveComposOp :: Ident -> Exp -> [(Ident,Exp)] -> C Exp
deriveComposOp t k cs =
do
f <- freshIdent
x <- freshIdent
let co = Ident ("composOp_" ++ printTree t)
e = EVar
let e = EVar
pv = VVar
infixr 3 -->
(-->) = EPiNoVar
infixr 3 \->
(\->) = EAbs
mkCase ci ct =
@@ -141,28 +149,20 @@ deriveComposOp t k cs =
_ -> e v
calls = zipWith rec vars (argumentTypes ct)
return $ Case (PCons ci (map PVar vars)) (apply (e ci) calls)
ift <- abstractType (argumentTypes k) (\vs ->
let tc = apply (EVar t) vs in tc --> tc)
ft <- abstractType (argumentTypes k) (\vs ->
let tc = apply (EVar t) vs in ift --> tc --> tc)
cases <- mapM (uncurry mkCase) cs
let cases' = cases ++ [Case PWild (e x)]
fb <- abstract (arity k) $ const $ pv f \-> pv x \-> ECase (e x) cases'
return $ [TypeDecl co ft,
ValueDecl co [] fb]
return fb
deriveComposFold :: Derivator
deriveComposFold :: Ident -> Exp -> [(Ident,Exp)] -> C Exp
deriveComposFold t k cs =
do
f <- freshIdent
x <- freshIdent
b <- freshIdent
r <- freshIdent
let co = Ident ("composFold_" ++ printTree t)
e = EVar
let e = EVar
pv = VVar
infixr 3 -->
(-->) = EPiNoVar
infixr 3 \->
(\->) = EAbs
mkCase ci ct =
@@ -175,29 +175,24 @@ deriveComposFold t k cs =
EApp (EVar t') c | t' == t -> apply (e f) [c, e v]
_ -> e v
calls = zipWith rec vars (argumentTypes ct)
z = EProj (e r) (Ident "zero")
p = EProj (e r) (Ident "plus")
z = EProj (e r) (Ident "mzero")
p = EProj (e r) (Ident "mplus")
joinCalls [] = z
joinCalls cs = foldr1 (\x y -> apply p [x,y]) cs
return $ Case (PCons ci (map PVar vars)) (joinCalls calls)
let rt = ERecType [FieldType (Ident "zero") (e b),
FieldType (Ident "plus") (e b --> e b --> e b)]
ift <- abstractType (argumentTypes k) (\vs -> apply (EVar t) vs --> e b)
ft <- abstractType (argumentTypes k) (\vs -> ift --> apply (EVar t) vs --> e b)
cases <- mapM (uncurry mkCase) cs
let cases' = cases ++ [Case PWild (e x)]
fb <- abstract (arity k) $ const $ pv f \-> pv x \-> ECase (e x) cases'
return $ [TypeDecl co $ EPi (VVar b) EType $ rt --> ft,
ValueDecl co [] $ VWild \-> pv r \-> fb]
return $ VWild \-> pv r \-> fb
deriveShow :: Derivator
deriveShow t k cs = fail $ "derive show not implemented"
deriveShow t k cs = fail $ "derive Show not implemented"
deriveEq :: Derivator
deriveEq t k cs = fail $ "derive eq not implemented"
deriveEq t k cs = fail $ "derive Eq not implemented"
deriveOrd :: Derivator
deriveOrd t k cs = fail $ "derive ord not implemented"
deriveOrd t k cs = fail $ "derive Ord not implemented"
--
-- * Constructor patterns and applications.

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@@ -1,3 +1,5 @@
import prelude
data Cat : Type where
Stm : Cat
Exp : Cat
@@ -20,11 +22,12 @@ data Tree : Cat -> Type where
NilStm : Tree ListStm
ConsStm : Tree Stm -> Tree ListStm -> Tree ListStm
derive composOp Tree
derive Compos Tree
rename : (String -> String) -> (C : Type) -> Tree C -> Tree C
rename f C t = case t of
V x -> V (f x)
_ -> composOp_Tree C (rename f) t
_ -> composOp ? ? compos_Tree C (rename f) t
main = rename (const ? ? "apa") Stm (SAss (V "y") (EAdd (EVar (V "x")) (EInt 2)))

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@@ -33,9 +33,15 @@ data Tree : (_ : Cat)-> Type where {
pot3plus : (_ : Tree Sub1000)-> (_ : Tree Sub1000)-> Tree Sub1000000
}
derive Compos Tree
num2int : (A : Cat) -> Tree A -> Integer
num2int _ n = case n of
monoid_plus_Int : Monoid Integer
monoid_plus_Int = rec mzero = 0
mplus = (\x -> \y -> x + y)
num2int : (C : Cat) -> Tree C -> Integer
num2int C n = case n of
n2 -> 2
n3 -> 3
n4 -> 4
@@ -44,14 +50,10 @@ num2int _ n = case n of
n7 -> 7
n8 -> 8
n9 -> 9
num x -> num2int ? x
pot0 x -> num2int ? x
pot01 -> 1
pot0as1 x -> num2int ? x
pot1 x -> 10 * num2int ? x
pot110 -> 10
pot111 -> 11
pot1as2 x -> num2int ? x
pot1plus x y -> 10 * num2int ? x + num2int ? y
pot1to19 x -> 10 + num2int ? x
pot2 x -> 100 * num2int ? x
@@ -59,3 +61,5 @@ num2int _ n = case n of
pot2plus x y -> 100 * num2int ? x + num2int ? y
pot3 x -> 1000 * num2int ? x
pot3plus x y -> 1000 * num2int ? x + num2int ? y
_ -> composFold ? ? compos_Tree ? monoid_plus_Int C num2int n

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@@ -203,5 +203,5 @@ data Tree : (_ : Cat)-> Type where {
You_One : Tree NP
}
derive composOp Tree
derive composFold Tree
derive Compos Tree

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@@ -1,3 +1 @@
import nat
main = natToInt (intToNat 100)
main = ?

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@@ -9,11 +9,11 @@ monoid_Bool = rec
isSnake : (A : Tree) -> Tree A -> Bool
isSnake _ x = case x of
Snake -> True
_ -> composFold_Tree Bool monoid_Bool ? isSnake x
_ -> composFold ? ? compos_Tree Bool monoid_Bool ? isSnake x
wideSnake : (A : Cat) -> Tree A -> Tree A
wideSnake _ x = case x of
Wide y -> let y' : CN = wideSnake ? y
in if isSnake CN y' then Thick y' else Wide y'
_ -> composOp_Tree ? wideSnake x
_ -> composOp ? ? compos_Tree ? wideSnake x