!"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~ (c) Fumiaki Kinoshita 2015BSD3'Fumiaki Kinoshita <fumiexcel@gmail.com> experimental non-portableNone!"&'(+-./234=HJKM Poly-kinded Maybe 1Turn a wrapper type into one clause that returns a. Poly-kinded Const Just a value.A type synonym for lenses % :: Lens' s a -> (a -> a) -> (s -> s) % :: Lens' s a -> (a -> r) -> (s -> r) % :: Lens' s a -> (a -> a) -> (s -> s) Destruct . Apply a function to its content.       (c) Fumiaki Kinoshita 2015BSD3'Fumiaki Kinoshita <fumiexcel@gmail.com> experimental non-portableNone!"&'(*+23468=HJKMTType level mergingType level concat Type level ++ Type level map!Ideally, it will be 'Map Succ'"The successor of the number#Converts type naturals into .%Type level binary number)Type-level tail*Interleaved list+ Lookup types,Elaborate the result of +-.A type sugar to make type error more readable...A type sugar to make type error more readable./.A type sugar to make type error more readable.3Unicode flipped alias for 04!Ensure that the first element of xs is x8The extensible product type= Lookup types>The position of x in the type level set xs.@ Generates a >2 that corresponds to the given ordinal (0-origin).A/Embodies a type equivalence to ensure that the > points the first element.BPRIVILEGED: Compare two >s.CPRIVILEGED: Navigate a tree.DThe > points the first elementEThe next membershipFDescribes the relation of > within a treeGDescribes the relation of > within a treeHGHC can't prove thisIGHC can't prove this9 !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHI> !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHI.>??AB@45CDEFG8:9013%('&#$+=67"!<;*2)HI ,/.-. !"#$%('&)*+,-./012345678:9;<=>?@ABCDEFGHI(c) Fumiaki Kinoshita 2015BSD3'Fumiaki Kinoshita <fumiexcel@gmail.com> experimental non-portableNone!"&'(*+234=HJKMJThe extensible sum typeLChange the wrapper.MO(1) lift a value.NO(1) Naive pattern matchOThere is no empty union.P3A traversal that tries to point a specific element.JKLMNOPJKLMNOPJKLMNOPJKLMNOPN(c) Fumiaki Kinoshita 2015BSD3'Fumiaki Kinoshita <fumiexcel@gmail.com> experimental non-portableNone!"&'(*+2346=HJKMQ4Guarantees the all elements satisfies the predicate.RO(n) Analogous to i!, but it also supplies a context c x for every elements in xs.SSGiven a function that maps types to values, we can "collect" entities all you want.TO(n). htabulates a product with the given function.UO(1) Extract the head element.VO(n)6 Extract the tail of the product. FIXME: unsafeCoerceW)Split a product to the head and the tail.XAn alias for (Y).YO(log n) Add an element to a product.Z<Transform every elements in a product, preserving the order. Z  "a  Z (f . g) "a Z f . Z g [<Transform every elements in a product, preserving the order.\Combine products.] for heterogeneous product^ for heterogeneous product_1Map elements to a monoid and combine the results. _ f . Z g "a _ (f . g)`<Traverse all elements and combine the result sequentially.  htraverse (fmap f . g) "a fmap (hmap f) . htraverse g htraverse pure "a pure htraverse (Comp . fmap g . f) "a Comp . fmap (htraverse g) . htraverse f a analog for extensible productsb The dual of `c The dual of adO(log n) Pick up an elemtnt.eFlipped dfZ with its indices.gO(log n) A lens for a specific element.hO(log n)( A lens for a value in a known position.iPure version of T. Z f (i g) "a i (f . g) i (e m) "a m e (i k) "a k jPure version of R.QRSTUVWXYZ[\]^_`abcdefghij89:QRSTUVWXYZ[\]^_`abcdefghij8:9YX\UVWZf[]^_`abcdeghSTiQRjQRSTUVWXYZ[\]^_`abcdefghijXY\None!"&'()+2346=HJKMk%Composition for a class and a wrapperlForall upon a wrappermReifiable classesn;The associated dictionary which subsumes essential methods.o Fetch the n.$klmnopqrstuvwxyz{|}~klmnopqrstuvwxyz{$mnoz{xyvwstupqr~}lk|klmno|}~pqrstuvwxyz{(c) Fumiaki Kinoshita 2015BSD3'Fumiaki Kinoshita <fumiexcel@gmail.com> experimental non-portableNone!"&'(+234=HJKMTWrap a type that has a kind * -> *.Alias for plain sumsAlias for plain productsO(log n) Add a plain value to a product.Extract a plain value.Embed a plain value.)Naive pattern matching for a plain value.O(log n)' A lens for a plain value in a product.O(log n)' A lens for a plain value in a product.#Prepend a clause for a plain value.+Prepend a clause for a parameterized value.%An accessor for newtype constructors.8Generate newtype wrappers and lenses from type synonyms. decFields [d|type Foo = Int|]  Generates: Tnewtype Foo = Foo Int foo :: (Foo " xs) => Lens' (AllOf xs) Int foo = accessing Foo ! with additional deriving clauses(c) Fumiaki Kinoshita 2015BSD3'Fumiaki Kinoshita <fumiexcel@gmail.com> experimental non-portableNone!"&'(+234=HJKMA lens for a specific clause.$Applies a function to the result of  .O(log n) Perform pattern matching.Flipped   (c) Fumiaki Kinoshita 2015BSD3'Fumiaki Kinoshita <fumiexcel@gmail.com> experimental non-portableNone!"&'(+234=HJKMFlipped Qhttp://hackage.haskell.org/package/kan-extensions/docs/Data-Functor-Coyoneda.htmlCoyoneda A union of * -> * types.O(log n) Embed a value. for the content.Prepend a clause for   ( x) as well as (<?!). fast fmap  (c) Fumiaki Kinoshita 2015BSD3'Fumiaki Kinoshita <fumiexcel@gmail.com> experimental non-portableNone!"&'(+234=HJKMFlipped Whttp://hackage.haskell.org/package/kan-extensions-4.1.0.1/docs/Data-Functor-Yoneda.htmlYoneda)A much more efficient representation for Union of s.O(log n) Embed a functor.Fuse " to retract a substantial functor. for the content.Prepend a clause for   ( x) as well as (<?!). fast fmap  (c) Fumiaki Kinoshita 2015BSD3'Fumiaki Kinoshita <fumiexcel@gmail.com> experimental non-portableNone!"&'(+234=HJKM ys contains xsUnicode alias for 'Reify the inclusion of type level sets. O(m log n) Select some elements.!A lens for a subset (inefficient)O(log n) Embed to a larger union.The inverse of .,Extend a product and fill missing fields by .)Narrow the range of the sum, if possible. -./013>@A>A301/.-@ (c) Fumiaki Kinoshita 2015BSD3'Fumiaki Kinoshita <fumiexcel@gmail.com> experimental non-portableNone!"&'(+23468=HJKM "An internal class to characterize +A ghostly type which reifies the field name4When you see this type as an argument, it expects a A. This type is used to resolve the name of the field internally. FieldLens s- is a type of lens that points a field named s.  s = (s " xs) => Lens' ( xs) ( s) 1The type of records which contain several fields.The type of fields.%Associates names with concrete types.#Annotate a value by the field name.Lifted ()Generate a field.  "foo" [t|Int|] defines: =type instance FieldValue "foo" = Int foo :: FieldLens "foo" The yielding field is a  Jhttp://hackage.haskell.org/package/lens/docs/Control-Lens-Lens.html#t:LensLens. ;[recordType|foo bar baz|] --> Record '["foo", "bar", "baz"] Shows in field @= value" style instead of the derived one.)-./0138:>@AXYYX8: (c) Fumiaki Kinoshita 2015BSD3'Fumiaki Kinoshita <fumiexcel@gmail.com> experimental non-portableNone!"&'(+234=HJKMy -./01389:>@AJKLMNOPQRSTUVWXYZ[\]^_`abcdefghij   !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~               F extensible-0.3Data.Extensible.Internal.RigData.Extensible.InternalData.Extensible.SumData.Extensible.ProductData.Extensible.DictionaryData.Extensible.PlainData.Extensible.MatchData.Extensible.UnionData.Extensible.LeagueData.Extensible.InclusionData.Extensible.RecordData.Extensible MergeList getMergedNullableEineNullCompgetCompMatchrunMatchConst' getConst'K0getK0Lens'viewviewsovercompnullable mapNullable$fMonoidMergeList$fShowK0 $fMonadK0$fApplicativeK0MergeConcat++MapMapSuccSuccToInttheIntNatSDNatDNatZeroTailHalfLookupCheck AmbiguousMissing ExpectingMember membershipHead∈NavHereHere LookupTree lookupTree:*TreeNilDiv2Pred ListIndex Membership getMemberIdord runMembershipcompareMembershipnavigateherenavNextnavLnavR lemmaHalfTail lemmaMerging:|UnionAthoistembed<:|exhaustpickedForall hgenerateForGenerate hgeneratehheadhtailhuncons<:*<:hmaphtrans*++*hzipWith hzipWith3hfoldMap htraverse hsequencehcollect hdistributehlookuphindex hmapWithIndexsectorsectorAt htabulate htabulateFor Instance1 WrapForall Reifiable Dictionarylibrary DictBinarygetGetgetPut DictMonoid getMempty getMappendDictOrd getCompareDictEqgetEqDictShow getShowsPrec$fInstance1kkchx$fOrd:|$fEq:|$fShow:| $fBinary:* $fMonoid:*$fOrd:*$fEq:*$fShow:*TFCo:R:DictionarykBinaryhx$fReifiableBinaryTFCo:R:DictionarykMonoidhx$fReifiableMonoidTFCo:R:DictionarykOrdhx$fReifiableOrdTFCo:R:DictionarykEqhx $fReifiableEqTFCo:R:DictionarykShowhx$fReifiableShowK1getK1OneOfAllOf<%pluckbury<%|recordrecordAtmkField recordTypeghc-prim GHC.TypesWord$fToIntNatSDNat$fToIntNatDNat$fToIntNatZero $fMemberkxsx$fOrdMembership$fEqMembership$fShowMembership$fNFDataMembership$fLookupTreekDNat:x$fLookupTreekSDNat:x$fLookupTreekZero:xbaseData.Type.Equalityouterinnerapply gcastWithcastWithtranssymRefl:~: testEquality TestEquality== Data.Proxy asProxyTypeOfProxyKProxyGHC.BaseidGHC.ListzipWithzipWith3 Control.Monadsequence $fForallkc: $fForallkc[] $fGeneratek: $fGeneratek[]fmap$fFunctorUnionFunctor $fShowField$fLabelableksLabelPhantom$fLabelableks(->)