module Language.Reflection.Utils
import Prelude
import Language.Reflection
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-- Tactic construction conveniences
--------------------------------------------------------
seq : List Tactic -> Tactic
seq [] = GoalType "This is an impossible case" Trivial
seq [t] = t
seq (t::ts) = t `Seq` seq ts
try : List Tactic -> Tactic
try [] = GoalType "This is an impossible case" Trivial
try [t] = t
try (t::ts) = t `Try` seq ts
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-- For use in tactic scripts
--------------------------------------------------------
mkPair : a -> b -> (a, b)
mkPair a b = (a, b)
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-- Tools for constructing proof terms directly
--------------------------------------------------------
getUName : TTName -> Maybe String
getUName (UN n) = Just n
getUName (NS n ns) = getUName n
getUName _ = Nothing
unApply : TT -> (TT, List TT)
unApply t = unA t []
where unA : TT -> List TT -> (TT, List TT)
unA (App fn arg) args = unA fn (arg::args)
unA tm args = (tm, args)
mkApp : TT -> List TT -> TT
mkApp tm [] = tm
mkApp tm (a::as) = mkApp (App tm a) as
binderTy : (Eq t) => Binder t -> t
binderTy (Lam t) = t
binderTy (Pi t) = t
binderTy (Let t1 t2) = t1
binderTy (NLet t1 t2) = t1
binderTy (Hole t) = t
binderTy (GHole t) = t
binderTy (Guess t1 t2) = t1
binderTy (PVar t) = t
binderTy (PVTy t) = t
instance Show TTName where
show (UN str) = "(UN " ++ str ++ ")"
show (NS n ns) = "(NS " ++ show n ++ " " ++ show ns ++ ")"
show (MN i str) = "(MN " ++ show i ++ " " ++ show str ++ ")"
show NErased = "NErased"
instance Eq TTName where
(UN str1) == (UN str2) = str1 == str2
(NS n ns) == (NS n' ns') = n == n' && ns == ns'
(MN i str) == (MN i' str') = i == i' && str == str'
NErased == NErased = True
x == y = False
instance Show TTUExp where
show (UVar i) = "(UVar " ++ show i ++ ")"
show (UVal i) = "(UVal " ++ show i ++ ")"
instance Eq TTUExp where
(UVar i) == (UVar j) = i == j
(UVal i) == (UVal j) = i == j
x == y = False
instance Show Const where
show (I i) = "(I " ++ show i ++ ")"
show (BI n) = "(BI " ++ show n ++ ")"
show (Fl f) = "(Fl " ++ show f ++ ")"
show (Ch c) = "(Ch " ++ show c ++ ")"
show (Str str) = "(Str " ++ show str ++ ")"
show IType = "IType"
show BIType = "BIType"
show FlType = "FlType"
show ChType = "ChType"
show StrType = "StrType"
show (B8 b) = "(B8 ...)"
show (B16 b) = "(B16 ...)"
show (B32 b) = "(B32 ...)"
show (B64 b) = "(B64 ...)"
show B8Type = "B8Type"
show B16Type = "B16Type"
show B32Type = "B32Type"
show B64Type = "B64Type"
show PtrType = "PtrType"
show VoidType = "VoidType"
show Forgot = "Forgot"
instance Eq Const where
(I i) == (I i') = i == i'
(BI n) == (BI n') = n == n'
(Fl f) == (Fl f') = f == f'
(Ch c) == (Ch c') = c == c'
(Str str) == (Str str') = str == str'
IType == IType = True
BIType == BIType = True
FlType == FlType = True
ChType == ChType = True
StrType == StrType = True
(B8 b) == (B8 b') = False -- FIXME: b == b'
(B16 b) == (B16 b') = False -- FIXME: b == b'
(B32 b) == (B32 b') = False -- FIXME: b == b'
(B64 b) == (B64 b') = False -- FIXME: b == b'
B8Type == B8Type = True
B16Type == B16Type = True
B32Type == B32Type = True
B64Type == B64Type = True
PtrType == PtrType = True
VoidType == VoidType = True
Forgot == Forgot = True
x == y = False
instance Show NameType where
show Bound = "Bound"
show Ref = "Ref"
show (DCon t ar) = "(DCon " ++ show t ++ " " ++ show ar ++ ")"
show (TCon t ar) = "(TCon " ++ show t ++ " " ++ show ar ++ ")"
instance Eq NameType where
Bound == Bound = True
Ref == Ref = True
(DCon t ar) == (DCon t' ar') = t == t' && ar == ar'
(TCon t ar) == (TCon t' ar') = t == t' && ar == ar'
x == y = False
instance (Show a) => Show (Binder a) where
show (Lam t) = "(Lam " ++ show t ++ ")"
show (Pi t) = "(Pi " ++ show t ++ ")"
show (Let t1 t2) = "(Let " ++ show t1 ++ " " ++ show t2 ++ ")"
show (NLet t1 t2) = "(NLet " ++ show t1 ++ " " ++ show t2 ++ ")"
show (Hole t) = "(Hole " ++ show t ++ ")"
show (GHole t) = "(GHole " ++ show t ++ ")"
show (Guess t1 t2) = "(Guess " ++ show t1 ++ " " ++ show t2 ++ ")"
show (PVar t) = "(PVar " ++ show t ++ ")"
show (PVTy t) = "(PVTy " ++ show t ++ ")"
instance (Eq a) => Eq (Binder a) where
(Lam t) == (Lam t') = t == t'
(Pi t) == (Pi t') = t == t'
(Let t1 t2) == (Let t1' t2') = t1 == t1' && t2 == t2'
(NLet t1 t2) == (NLet t1' t2') = t1 == t1' && t2 == t2'
(Hole t) == (Hole t') = t == t'
(GHole t) == (GHole t') = t == t'
(Guess t1 t2) == (Guess t1' t2') = t1 == t1' && t2 == t2'
(PVar t) == (PVar t') = t == t'
(PVTy t) == (PVTy t') = t == t'
x == y = False
instance Show TT where
show = my_show
where %assert_total my_show : TT -> String
my_show (P nt n t) = "(P " ++ show nt ++ " " ++ show n ++ " " ++ show t ++ ")"
my_show (V i) = "(V " ++ show i ++ ")"
my_show (Bind n b t) = "(Bind " ++ show n ++ " " ++ show b ++ " " ++ show t ++ ")"
my_show (App t1 t2) = "(App " ++ show t1 ++ " " ++ show t2 ++ ")"
my_show (TConst c) = "(TConst " ++ show c ++ ")"
my_show (Proj tm i) = "(Proj " ++ show tm ++ " " ++ show i ++ ")"
my_show Erased = "Erased"
my_show Impossible = "Impossible"
my_show (TType u) = "(TType " ++ show u ++ ")"
instance Eq TT where
a == b = equalp a b
where %assert_total equalp : TT -> TT -> Bool
equalp (P nt n t) (P nt' n' t') = nt == nt' && n == n' && t == t'
equalp (V i) (V i') = i == i'
equalp (Bind n b t) (Bind n' b' t') = n == n' && b == b' && t == t'
equalp (App t1 t2) (App t1' t2') = t1 == t1' && t2 == t2'
equalp (TConst c) (TConst c') = c == c'
equalp (Proj tm i) (Proj tm' i') = tm == tm' && i == i'
equalp Erased Erased = True
equalp Impossible Impossible = True
equalp (TType u) (TType u') = u == u'
equalp x y = False