predicate-typed-0.7.3.0: Predicates, Refinement types and Dsl

Safe HaskellNone
LanguageHaskell2010

Predicate.Data.Index

Contents

Description

promoted indexing functions

Synopsis

indexing expressions

data Ix (n :: Nat) def Source #

similar to !! using an Ixed container

>>> pz @(Ix 4 "not found") ["abc","D","eF","","G"]
PresentT "G"
>>> pz @(Ix 40 "not found") ["abc","D","eF","","G"]
PresentT "not found"
>>> pl @(Fst Id >> Dup >> (Ix 1 (Failp "failed5") *** Ix 3 (Failp "failed5")) >> Id) ([10,12,3,5],"ss")
Present (12,5) ((>>) (12,5) | {Id (12,5)})
PresentT (12,5)
>>> pl @(Fst Id >> Dup >> (Ix 1 (Failp "failed5") *** Ix 3 (Failp "failed5")) >> Fst Id < Snd Id) ([10,12,3,5],"ss")
False ((>>) False | {12 < 5})
FalseT
>>> pl @(Fst Id >> Dup >> (Ix 1 (Failp "failed5") *** Ix 3 (Failp "failed5")) >> Fst Id > Snd Id) ([10,12,3,5],"ss")
True ((>>) True | {12 > 5})
TrueT
>>> pl @(Snd Id >> Len &&& Ix 3 (Failp "someval1") >> Fst Id == Snd Id) ('x',[1..5])
False ((>>) False | {5 == 4})
FalseT
>>> pl @(Snd Id >> Len &&& Ix 3 (Failp "someval2") >> Fst Id < Snd Id) ('x',[1..5])
False ((>>) False | {5 < 4})
FalseT
>>> pl @(Snd Id >> Len &&& Ix 3 (Failp "someval3") >> Fst Id > Snd Id) ('x',[1..5])
True ((>>) True | {5 > 4})
TrueT
>>> pl @(Map Len Id >> Ix 3 (Failp "lhs") &&& Ix 0 5 >> Fst Id == Snd Id) [[1..4],[4..5]]
Error lhs ([4,2] (>>) rhs failed)
FailT "lhs"
>>> pl @(Map Len Id >> Ix 0 (Failp "lhs") &&& Ix 1 5 >> Fst Id == Snd Id) [[1..4],[4..5]]
False ((>>) False | {4 == 2})
FalseT
>>> pl @(Map Len Id >> Ix 1 (Failp "lhs") &&& Ix 3 (Failp "rhs") >> Fst Id == Snd Id) [[1..4],[4..5]]
Error rhs ([4,2] (>>) rhs failed)
FailT "rhs"
>>> pl @(Map Len Id >> Ix 10 (Failp "lhs") &&& Ix 1 (Failp "rhs") >> Fst Id == Snd Id) [[1..4],[4..5]]
Error lhs ([4,2] (>>) rhs failed)
FailT "lhs"
>>> pl @(Map Len Id >> Ix 0 (Failp "lhs") &&& Ix 10 (Failp "rhs") >> Fst Id == Snd Id) [[1..4],[4..5]]
Error rhs ([4,2] (>>) rhs failed)
FailT "rhs"
>>> pl @(Map Len Id >> Ix 10 3 &&& Ix 1 (Failp "rhs") >> Fst Id == Snd Id) [[1..4],[4..5]]
False ((>>) False | {3 == 2})
FalseT
>>> pl @(Map Len Id >> Ix 3 3 &&& Ix 1 4 >> Fst Id == Snd Id) [[1..4],[4..5]]
False ((>>) False | {3 == 2})
FalseT
>>> pl @(Map Len Id >> Ix 10 3 &&& Ix 1 4 >> Fst Id == Snd Id) [[1..4],[4..5]]
False ((>>) False | {3 == 2})
FalseT
>>> pl @(Map Len Id >> Ix 10 5 &&& Ix 1 4 >> Fst Id == Snd Id) [[1..4],[4..5]]
False ((>>) False | {5 == 2})
FalseT
>>> pl @(Map Len Id >> Ix 10 2 &&& Ix 1 4 >> Fst Id == Snd Id) [[1..4],[4..5]]
True ((>>) True | {2 == 2})
TrueT
Instances
(P def (Proxy a), PP def (Proxy a) ~ a, KnownNat n, Show a) => P (Ix n def :: Type) [a] Source # 
Instance details

Defined in Predicate.Data.Index

Associated Types

type PP (Ix n def) [a] :: Type Source #

Methods

eval :: MonadEval m => proxy (Ix n def) -> POpts -> [a] -> m (TT (PP (Ix n def) [a])) Source #

type PP (Ix n def :: Type) [a] Source # 
Instance details

Defined in Predicate.Data.Index

type PP (Ix n def :: Type) [a] = a

data Ix' (n :: Nat) Source #

Instances
P (IxT' n) x => P (Ix' n :: Type) x Source # 
Instance details

Defined in Predicate.Data.Index

Associated Types

type PP (Ix' n) x :: Type Source #

Methods

eval :: MonadEval m => proxy (Ix' n) -> POpts -> x -> m (TT (PP (Ix' n) x)) Source #

type PP (Ix' n :: Type) x Source # 
Instance details

Defined in Predicate.Data.Index

type PP (Ix' n :: Type) x

data IxL p q def Source #

similar to !! leveraging Ixed

>>> pz @(IxL Id 2 "notfound") ["abc","D","eF","","G"]
PresentT "eF"
>>> pz @(IxL Id 20 "notfound") ["abc","D","eF","","G"]
PresentT "notfound"
>>> pl @(IxL Id 1 (Char1 "x")) ("123" :: T.Text)
Present '2' (IxL(1) '2' | p="123" | q=1)
PresentT '2'
>>> pl @(IxL Id 15 (Char1 "x")) ("123" :: T.Text)
Present 'x' (IxL(15) index not found)
PresentT 'x'
Instances
(P q a, P p a, Show (PP p a), Ixed (PP p a), PP q a ~ Index (PP p a), Show (Index (PP p a)), Show (IxValue (PP p a)), P r (Proxy (IxValue (PP p a))), PP r (Proxy (IxValue (PP p a))) ~ IxValue (PP p a)) => P (IxL p q r :: Type) a Source # 
Instance details

Defined in Predicate.Data.Index

Associated Types

type PP (IxL p q r) a :: Type Source #

Methods

eval :: MonadEval m => proxy (IxL p q r) -> POpts -> a -> m (TT (PP (IxL p q r) a)) Source #

type PP (IxL p q r :: Type) a Source # 
Instance details

Defined in Predicate.Data.Index

type PP (IxL p q r :: Type) a = IxValue (PP p a)

data p !! q Source #

similar to !! leveraging Ixed

>>> pz @(Id !! 2) ["abc","D","eF","","G"]
PresentT "eF"
>>> pz @(Id !! 20) ["abc","D","eF","","G"]
FailT "(!!) index not found"
>>> pz @(Id !! "eF") (M.fromList (flip zip [0..] ["abc","D","eF","","G"]))
PresentT 2
>>> pl @(Id !! 3) ("asfd" :: T.Text)
Present 'd' (IxL(3) 'd' | p="asfd" | q=3)
PresentT 'd'
>>> pl @(Id !! 4) ("asfd" :: T.Text)
Error (!!) index not found (IxL(4))
FailT "(!!) index not found"
>>> pl @(Id !! MEmptyT _) (Just "a")
Present "a" (IxL(()) "a" | p=Just "a" | q=())
PresentT "a"
>>> pl @(Id !! MEmptyT _) (Nothing @()) -- had to add @() to keep this happy: ghci is fine
Error (!!) index not found (IxL(()))
FailT "(!!) index not found"
>>> pl @(Id !! 0) ('a','b','c')
Present 'a' (IxL(0) 'a' | p=('a','b','c') | q=0)
PresentT 'a'
>>> pl @(Id !! Failt _ "err") ('a','b','c')
Error err (IxL)
FailT "err"
>>> pl @(Id !! "d") (M.fromList $ zip (map (:[]) "abcd") [0 ..])
Present 3 (IxL("d") 3 | p=fromList [("a",0),("b",1),("c",2),("d",3)] | q="d")
PresentT 3
>>> pl @(Id !! Head "d") (M.fromList $ zip "abcd" [0 ..]) -- had to String (instead of _) to keep this happy: ghci is fine
Present 3 (IxL('d') 3 | p=fromList [('a',0),('b',1),('c',2),('d',3)] | q='d')
PresentT 3
>>> pl @(Id !! Head "d") (Set.fromList "abcd") -- had to String (instead of _) to keep this happy: ghci is fine
Present () (IxL('d') () | p=fromList "abcd" | q='d')
PresentT ()
>>> pl @(Id !! HeadFail "failedn" "e") (Set.fromList "abcd") -- had to String (instead of _) to keep this happy: ghci is fine
Error (!!) index not found (IxL('e'))
FailT "(!!) index not found"
>>> pl @(Id !! Head "d") (M.fromList $ zip "abcd" [0 ..])   -- use Char1 "d" instead of "d" >> Head
Present 3 (IxL('d') 3 | p=fromList [('a',0),('b',1),('c',2),('d',3)] | q='d')
PresentT 3
>>> pl @(Id !! MEmptyT _) (Just 10)
Present 10 (IxL(()) 10 | p=Just 10 | q=())
PresentT 10
>>> pl @(Id !! MEmptyT _) (Nothing @())
Error (!!) index not found (IxL(()))
FailT "(!!) index not found"
>>> pl @(Id !! 6) ['a'..'z']
Present 'g' (IxL(6) 'g' | p="abcdefghijklmnopqrstuvwxyz" | q=6)
PresentT 'g'
>>> pl @(Snd Id !! Fst Id) (3,"abcde" :: String)
Present 'd' (IxL(3) 'd' | p="abcde" | q=3)
PresentT 'd'
>>> pl @(Snd Id !! Fst Id) (4,[9,8])
Error (!!) index not found (IxL(4))
FailT "(!!) index not found"
>>> pl @(2 &&& Id >> Snd Id !! Fst Id) ("abcdef" :: String)
Present 'c' ((>>) 'c' | {IxL(2) 'c' | p="abcdef" | q=2})
PresentT 'c'
>>> pl @((Len >> Pred Id) &&& Id >> Snd Id !! Fst Id) "abcdef"
Present 'f' ((>>) 'f' | {IxL(5) 'f' | p="abcdef" | q=5})
PresentT 'f'
>>> pl @(Id !! 3) ('a','b','c','d','e')
Present 'd' (IxL(3) 'd' | p=('a','b','c','d','e') | q=3)
PresentT 'd'
>>> pl @(Id !! "s") $ M.fromList [("t",1), ("s", 20), ("s", 99)]
Present 99 (IxL("s") 99 | p=fromList [("s",99),("t",1)] | q="s")
PresentT 99
>>> pl @(Id !! Char1 "d") (M.fromList $ zip "abcd" [0 ..])
Present 3 (IxL('d') 3 | p=fromList [('a',0),('b',1),('c',2),('d',3)] | q='d')
PresentT 3
>>> pl @(Id !! FromString _ "d" &&& (Map (Snd Id >> Gt 3 >> Coerce SG.Any) (IToList _ Id) >> MConcat Id)) (M.fromList $ zip (map T.singleton "abcdefgh") [0 ..])
Present (3,Any {getAny = True}) (W '(3,Any {getAny = True}))
PresentT (3,Any {getAny = True})
>>> pl @(Id !! FromString _ "d" &&& (Map (Snd Id >> Gt 3 >> Wrap SG.Any Id) (IToList _ Id) >> MConcat Id >> Unwrap Id)) (M.fromList $ zip (map T.singleton "abcdefgh") [0 ..])
Present (3,True) (W '(3,True))
PresentT (3,True)
>>> pl @(Id !! FromString _ "d") (M.fromList $ zip (map T.singleton "abcd") [0 ..])
Present 3 (IxL("d") 3 | p=fromList [("a",0),("b",1),("c",2),("d",3)] | q="d")
PresentT 3
>>> pl @(Id !! FromString _ "d") (M.fromList $ zip (map T.singleton "abcd") [0 ..])
Present 3 (IxL("d") 3 | p=fromList [("a",0),("b",1),("c",2),("d",3)] | q="d")
PresentT 3
>>> pl @(Id !! 2 !! 0) [[1..5],[10..14],[100..110]]
Present 100 (IxL(0) 100 | p=[100,101,102,103,104,105,106,107,108,109,110] | q=0)
PresentT 100
>>> pl @(Id !! 1 !! 7) [[1..5],[10..14],[100..110]]
Error (!!) index not found (IxL(7))
FailT "(!!) index not found"
>>> pl @(Id !! 1) [('x',14),('y',3),('z',5)]
Present ('y',3) (IxL(1) ('y',3) | p=[('x',14),('y',3),('z',5)] | q=1)
PresentT ('y',3)
>>> pl @(Id !! 14) [('x',14),('y',3),('z',5)]
Error (!!) index not found (IxL(14))
FailT "(!!) index not found"
Instances
P (BangBangT p q) a => P (p !! q :: Type) a Source # 
Instance details

Defined in Predicate.Data.Index

Associated Types

type PP (p !! q) a :: Type Source #

Methods

eval :: MonadEval m => proxy (p !! q) -> POpts -> a -> m (TT (PP (p !! q) a)) Source #

type PP (p !! q :: Type) a Source # 
Instance details

Defined in Predicate.Data.Index

type PP (p !! q :: Type) a

data p !!? q Source #

type operator version of Lookup

>>> pl @((Id !!? Char1 "d") > MkJust 99 || Length Id <= 3) (M.fromList $ zip "abcd" [1..])
False (False || False | (Just 4 > Just 99) || (4 <= 3))
FalseT
>>> pz @((Id !!? Char1 "d") > MkJust 2 || Length Id <= 3) (M.fromList $ zip "abcd" [1..])
TrueT
Instances
P (BangBangQT p q) a => P (p !!? q :: Type) a Source # 
Instance details

Defined in Predicate.Data.Index

Associated Types

type PP (p !!? q) a :: Type Source #

Methods

eval :: MonadEval m => proxy (p !!? q) -> POpts -> a -> m (TT (PP (p !!? q) a)) Source #

type PP (p !!? q :: Type) a Source # 
Instance details

Defined in Predicate.Data.Index

type PP (p !!? q :: Type) a

data Lookup p q Source #

lookup leveraging Ixed

>>> pz @(Lookup Id 2) ["abc","D","eF","","G"]
PresentT (Just "eF")
>>> pz @(Lookup Id 20) ["abc","D","eF","","G"]
PresentT Nothing
>>> pl @(FromList (M.Map _ _) >> Lookup Id (Char1 "y")) [('x',True),('y',False)]
Present Just False ((>>) Just False | {Lookup('y') False | p=fromList [('x',True),('y',False)] | q='y'})
PresentT (Just False)
>>> pl @(FromList (M.Map _ _) >> Lookup Id (Char1 "z")) [('x',True),('y',False)]
Present Nothing ((>>) Nothing | {Lookup('z') not found})
PresentT Nothing
>>> pl @(FromList (M.Map _ _) >> Lookup Id %% Char1 "y") [('x',True),('y',False)]
Present Just False ((>>) Just False | {Lookup('y') False | p=fromList [('x',True),('y',False)] | q='y'})
PresentT (Just False)
>>> pl @(Lookup Id 1) [('x',14),('y',3),('z',5)]
Present Just ('y',3) (Lookup(1) ('y',3) | p=[('x',14),('y',3),('z',5)] | q=1)
PresentT (Just ('y',3))
>>> pl @(Lookup Id 14) [('x',14),('y',3),('z',5)]
Present Nothing (Lookup(14) not found)
PresentT Nothing
>>> pl @(Lookup "abcdef" 3) ()
Present Just 'd' (Lookup(3) 'd' | p="abcdef" | q=3)
PresentT (Just 'd')
>>> pl @(Lookup '[1,2,3,4,5,6] 4) ()
Present Just 5 (Lookup(4) 5 | p=[1,2,3,4,5,6] | q=4)
PresentT (Just 5)
>>> pl @(FromList (M.Map _ _)) [(4,"x"),(5,"dd")]
Present fromList [(4,"x"),(5,"dd")] (FromList fromList [(4,"x"),(5,"dd")])
PresentT (fromList [(4,"x"),(5,"dd")])
Instances
(P q a, P p a, Show (PP p a), Ixed (PP p a), PP q a ~ Index (PP p a), Show (Index (PP p a)), Show (IxValue (PP p a))) => P (Lookup p q :: Type) a Source # 
Instance details

Defined in Predicate.Data.Index

Associated Types

type PP (Lookup p q) a :: Type Source #

Methods

eval :: MonadEval m => proxy (Lookup p q) -> POpts -> a -> m (TT (PP (Lookup p q) a)) Source #

type PP (Lookup p q :: Type) a Source # 
Instance details

Defined in Predicate.Data.Index

type PP (Lookup p q :: Type) a = Maybe (IxValue (PP p a))

data LookupDef v w p Source #

index a value in an Ixed container and if not found return the given default value

>>> pl @(LookupDef '[1,2,3,4,5,6] 4 Id) 23
Present 5 (JustDef Just)
PresentT 5
>>> pl @(LookupDef '[1,2,3,4,5,6] 4 (Fst Id)) (23,'x')
Present 5 (JustDef Just)
PresentT 5
>>> pl @(LookupDef '[1,2,3,4,5,6] 99 Id) 23
Present 23 (JustDef Nothing)
PresentT 23
>>> pl @(LookupDef '[1,2,3,4,5,6] 99 (Fst Id)) (23,'x')
Present 23 (JustDef Nothing)
PresentT 23
>>> pl @(LookupDef '[1,2,3,4,5,6] 4 999) (23,'x')
Present 5 (JustDef Just)
PresentT 5
>>> pl @(LookupDef '[1,2,3,4,5,6] 40 999) (23,'x')
Present 999 (JustDef Nothing)
PresentT 999
>>> pl @(LookupDef (Fst Id) 4 (MEmptyT _)) (map SG.Min [1::Int .. 10],'x')
Present Min {getMin = 5} (JustDef Just)
PresentT (Min {getMin = 5})
>>> pl @(LookupDef (Fst Id) 999 (MEmptyT _)) (map SG.Min [1::Int .. 10],'x')
Present Min {getMin = 9223372036854775807} (JustDef Nothing)
PresentT (Min {getMin = 9223372036854775807})
Instances
P (LookupDefT v w p) x => P (LookupDef v w p :: Type) x Source # 
Instance details

Defined in Predicate.Data.Index

Associated Types

type PP (LookupDef v w p) x :: Type Source #

Methods

eval :: MonadEval m => proxy (LookupDef v w p) -> POpts -> x -> m (TT (PP (LookupDef v w p) x)) Source #

type PP (LookupDef v w p :: Type) x Source # 
Instance details

Defined in Predicate.Data.Index

type PP (LookupDef v w p :: Type) x

data LookupDef' v w p q Source #

index a value in an Ixed container and if not found return the given default value

>>> pl @(LookupDef' (Fst Id) (Snd Id) (Char1 "xx") Id) (['a'..'e'],2)
Present 'c' (JustDef Just)
PresentT 'c'
>>> pl @(LookupDef' (Fst Id) (Snd Id) (Char1 "xx") Id) (['a'..'e'],999)
Present 'x' (JustDef Nothing)
PresentT 'x'
>>> pl @(LookupDef' (Fst Id) (Snd Id) (Char1 "xx") Id) ([],2)
Present 'x' (JustDef Nothing)
PresentT 'x'
>>> pl @(LookupDef' (Fst Id) (Snd Id) (Char1 "xx") (Snd Id)) ('w',([],2))
Present 'x' (JustDef Nothing)
PresentT 'x'
>>> pl @(LookupDef' (Fst Id) (Snd Id) (Fst Id) (Snd Id)) ('x',(['a'..'e'],2))
Present 'c' (JustDef Just)
PresentT 'c'
>>> pl @(LookupDef' (Fst Id) (Snd Id) (MEmptyT _) (Snd Id)) ('x',(map SG.Min [10..15::Int], 3))
Present Min {getMin = 13} (JustDef Just)
PresentT (Min {getMin = 13})
Instances
P (LookupDefT' v w p q) x => P (LookupDef' v w p q :: Type) x Source # 
Instance details

Defined in Predicate.Data.Index

Associated Types

type PP (LookupDef' v w p q) x :: Type Source #

Methods

eval :: MonadEval m => proxy (LookupDef' v w p q) -> POpts -> x -> m (TT (PP (LookupDef' v w p q) x)) Source #

type PP (LookupDef' v w p q :: Type) x Source # 
Instance details

Defined in Predicate.Data.Index

type PP (LookupDef' v w p q :: Type) x

data LookupFail msg v w Source #

index a value in an Ixed container and if not found fail with the given message

>>> pl @(LookupFail "someval" (Fst Id) 999) (map SG.Min [1::Int .. 10],'x')
Error someval (JustFail Nothing)
FailT "someval"
>>> pl @(LookupFail (PrintF "char=%c" (Snd Id)) (Fst Id) 49) (map SG.Min [1::Int ..10],'x')
Error char=x (JustFail Nothing)
FailT "char=x"
Instances
P (LookupFailT msg v w) x => P (LookupFail msg v w :: Type) x Source # 
Instance details

Defined in Predicate.Data.Index

Associated Types

type PP (LookupFail msg v w) x :: Type Source #

Methods

eval :: MonadEval m => proxy (LookupFail msg v w) -> POpts -> x -> m (TT (PP (LookupFail msg v w) x)) Source #

type PP (LookupFail msg v w :: Type) x Source # 
Instance details

Defined in Predicate.Data.Index

type PP (LookupFail msg v w :: Type) x

data LookupFail' msg v w q Source #

index a value in an Ixed container and if not found fail with the given message

Instances
P (LookupFailT' msg v w q) x => P (LookupFail' msg v w q :: Type) x Source # 
Instance details

Defined in Predicate.Data.Index

Associated Types

type PP (LookupFail' msg v w q) x :: Type Source #

Methods

eval :: MonadEval m => proxy (LookupFail' msg v w q) -> POpts -> x -> m (TT (PP (LookupFail' msg v w q) x)) Source #

type PP (LookupFail' msg v w q :: Type) x Source # 
Instance details

Defined in Predicate.Data.Index

type PP (LookupFail' msg v w q :: Type) x

list to tuples

type Tuple2 p = '(p !! 0, p !! 1) Source #

convert a list to a 2-tuple

type Tuple3 p = '(p !! 0, p !! 1, p !! 2) Source #

convert a list to a 3-tuple

type Tuple4 p = '(p !! 0, p !! 1, p !! 2, p !! 3) Source #

convert a list to a 4-tuple

type Tuple5 p = '(p !! 0, p !! 1, p !! 2, p !! 3, p !! 4) Source #

convert a list to a 5-tuple

type Tuple6 p = '(p !! 0, p !! 1, p !! 2, p !! 3, p !! 4, p !! 5) Source #

convert a list to a 6-tuple