the exhaustive/random generator now knows how to handle computable functions in the types

This commit is contained in:
krasimir
2010-10-11 17:18:28 +00:00
parent 3ac637ddcb
commit de0354f991
5 changed files with 248 additions and 210 deletions

View File

@@ -67,41 +67,52 @@ generateRandomFromDepth g pgf e dp =
generate :: Selector sel => sel -> PGF -> Type -> Maybe Int -> [Expr]
generate sel pgf ty dp =
[value2expr (funs (abstract pgf),lookupMeta ms) 0 v |
(ms,v) <- runGenM (prove (abstract pgf) emptyScope (TTyp [] ty) dp) sel emptyMetaStore]
(ms,v) <- runGenM (abstract pgf) (prove emptyScope (TTyp [] ty) dp) sel emptyMetaStore]
generateForMetas :: Selector sel => sel -> PGF -> Expr -> Maybe Int -> [Expr]
generateForMetas sel pgf e dp =
case unTcM (infExpr emptyScope e) abs emptyMetaStore of
Ok ms (e,_) -> let gen = do fillinVariables (runTcM abs) $ \scope tty -> do
v <- prove abs scope tty dp
return (value2expr (funs abs,lookupMeta ms) 0 v)
runTcM abs (refineExpr e)
in [e | (ms,e) <- runGenM gen sel ms]
Fail _ -> []
case unTcM (infExpr emptyScope e) abs sel emptyMetaStore of
Ok sel ms (e,_) -> let gen = do fillinVariables $ \scope tty -> do
v <- prove scope tty dp
return (value2expr (funs abs,lookupMeta ms) 0 v)
refineExpr e
in [e | (ms,e) <- runGenM abs gen sel ms]
Fail _ -> []
where
abs = abstract pgf
prove :: Selector sel => Abstr -> Scope -> TType -> Maybe Int -> GenM sel MetaStore Value
prove abs scope tty@(TTyp env (DTyp [] cat es)) dp = do
(fn,DTyp hypos cat es) <- clauses cat
prove :: Selector sel => Scope -> TType -> Maybe Int -> TcM sel Value
prove scope (TTyp env1 (DTyp [] cat es1)) dp = do
(fn,DTyp hypos _ es2) <- clauses cat
case dp of
Just 0 | not (null hypos) -> mzero
_ -> return ()
(env,args) <- mkEnv [] hypos
runTcM abs (eqType scope (scopeSize scope) 0 (TTyp env (DTyp [] cat es)) tty)
(env2,args) <- mkEnv [] hypos
vs1 <- mapM (PGF.TypeCheck.eval env1) es1
vs2 <- mapM (PGF.TypeCheck.eval env2) es2
sequence_ [eqValue mzero suspend (scopeSize scope) v1 v2 | (v1,v2) <- zip vs1 vs2]
vs <- mapM descend args
return (VApp fn vs)
where
clauses cat =
do fn <- select abs cat
case Map.lookup fn (funs abs) of
Just (ty,_,_,_) -> return (fn,ty)
Nothing -> mzero
suspend i c = do
mv <- getMeta i
case mv of
MBound e -> c e
MUnbound scope tty cs -> do v <- prove scope tty dp
e <- TcM (\abs sel ms -> Ok sel ms (value2expr (funs abs,lookupMeta ms) 0 v))
setMeta i (MBound e)
sequence_ [c e | c <- (c:cs)]
clauses cat = do
fn <- select cat
if fn == mkCId "plus" then mzero else return ()
ty <- lookupFunType fn
return (fn,ty)
mkEnv env [] = return (env,[])
mkEnv env ((bt,x,ty):hypos) = do
(env,arg) <- if x /= wildCId
then do i <- runTcM abs (newMeta scope (TTyp env ty))
then do i <- newMeta scope (TTyp env ty)
let v = VMeta i env []
return (v : env,Right v)
else return (env,Left (TTyp env ty))
@@ -111,7 +122,7 @@ prove abs scope tty@(TTyp env (DTyp [] cat es)) dp = do
descend (bt,arg) = do let dp' = fmap (flip (-) 1) dp
v <- case arg of
Right v -> return v
Left tty -> prove abs scope tty dp'
Left tty -> prove scope tty dp'
v <- case bt of
Implicit -> return (VImplArg v)
Explicit -> return v
@@ -121,75 +132,15 @@ prove abs scope tty@(TTyp env (DTyp [] cat es)) dp = do
------------------------------------------------------------------------------
-- Generation Monad
newtype GenM sel s a = GenM {unGen :: sel -> s -> Choice sel s a}
data Choice sel s a = COk sel s a
| CFail
| CBranch (Choice sel s a) (Choice sel s a)
instance Monad (GenM sel s) where
return x = GenM (\sel s -> COk sel s x)
f >>= g = GenM (\sel s -> iter (unGen f sel s))
where
iter (COk sel s x) = unGen (g x) sel s
iter (CBranch b1 b2) = CBranch (iter b1) (iter b2)
iter CFail = CFail
fail _ = GenM (\sel s -> CFail)
instance Selector sel => MonadPlus (GenM sel s) where
mzero = GenM (\sel s -> CFail)
mplus f g = GenM (\sel s -> let (sel1,sel2) = splitSelector sel
in CBranch (unGen f sel1 s) (unGen g sel2 s))
runGenM :: GenM sel s a -> sel -> s -> [(s,a)]
runGenM f sel s = toList (unGen f sel s) []
runGenM :: Abstr -> TcM s a -> s -> MetaStore s -> [(MetaStore s,a)]
runGenM abs f s ms = toList (unTcM f abs s ms) []
where
toList (COk sel s x) xs = (s,x) : xs
toList (CFail) xs = xs
toList (CBranch b1 b2) xs = toList b1 (toList b2 xs)
toList (Ok s ms x) xs = (ms,x) : xs
toList (Fail _) xs = xs
toList (Zero) xs = xs
toList (Plus b1 b2) xs = toList b1 (toList b2 xs)
runTcM :: Abstr -> TcM a -> GenM sel MetaStore a
runTcM abs f = GenM (\sel ms ->
case unTcM f abs ms of
Ok ms a -> COk sel ms a
Fail _ -> CFail)
------------------------------------------------------------------------------
-- Selectors
class Selector sel where
splitSelector :: sel -> (sel,sel)
select :: Abstr -> CId -> GenM sel s CId
instance Selector () where
splitSelector sel = (sel,sel)
select abs cat = GenM (\sel s -> case Map.lookup cat (cats abs) of
Just (_,fns) -> iter s fns
Nothing -> CFail)
where
iter s [] = CFail
iter s ((_,fn):fns) = CBranch (COk () s fn) (iter s fns)
instance RandomGen g => Selector (Identity g) where
splitSelector (Identity g) = let (g1,g2) = split g
in (Identity g1, Identity g2)
select abs cat = GenM (\(Identity g) s ->
case Map.lookup cat (cats abs) of
Just (_,fns) -> do_rand g s 1.0 fns
Nothing -> CFail)
where
do_rand g s p [] = CFail
do_rand g s p fns = let (d,g') = randomR (0.0,p) g
(g1,g2) = split g'
(p',fn,fns') = hit d fns
in CBranch (COk (Identity g1) s fn) (do_rand g2 s (p-p') fns')
hit :: Double -> [(Double,a)] -> (Double,a,[(Double,a)])
hit d (px@(p,x):xs)
| d < p = (p,x,xs)
| otherwise = let (p',x',xs') = hit (d-p) xs
in (p,x',px:xs')
-- Helper function for random generation. After every
-- success we must restart the search to find sufficiently different solution.