Îõ³h& % z     Safe'ÉÜmSafe'ÉÜ•  Trustworthy'ÉÜËSafe'ÉÜ YinvertÉAn inversion strategy is an approach for producing the inverse of an (a -> b) functionèAll strategies produce the same results, but they have operational differences that affect performance. invert=A function inversion strategy that precomputes nothing at allÁIt is possible to use this strategy when the domain is infinite. invertúA function inversion strategy that works by precomputing a strict sequence of tuples, one for each value of the domain2For larger functions, it may be preferable to use   or  * instead to get a more efficient inverse. invertÑA function inversion strategy that works by precomputing a binary search treeÌThe data structure imposes the requirement that the codomain belongs to the  class. invertÉA function inversion strategy that works by precomputing a hash tableÌThe data structure imposes the requirement that the codomain belongs to the  class. invertóA convenient way to enumerate the domain for a function that you want to invert, using the stock-derivable classes   and !çTo derive the required typeclass instances, add the following deriving clause to the type™@s definition: deriving (Enum, Bounded) invert1Use GHC generics to enumerate a function's domainThis requires deriving  and . The  class comes from  GHC.Generics , and the  class comes from Generics.Deriving in the generic-deriving package.ÕTo derive the required typeclass instances, enable the following language extensions: Ã{-# language DeriveGeneric, DeriveAnyClass, DerivingStrategies #-} ÁThen add the following deriving clauses to the type™@s definition: /deriving stock Generic deriving anyclass GEnum invert0A complete list of all the values of the domain.invertThe function to invert.invert"The inverse of the given function.invert0A complete list of all the values of the domain.invertThe function to invert.  This function must be injective!Ù This means that no two values in the domain map to the same value of the codomain.invert"The inverse of the given function.invert0A complete list of all the values of the domain.invertThe function to invert.  This function must be bijective!ç This means that every value in the codomain has exactly one value in the domain that maps to it.invert"The inverse of the given function.invert0A complete list of all the values of the domain.invertThe function to invert. !This function must be surjective!è This means that every value in the codomain has at least one value in the domain that maps to it.invert"The inverse of the given function.invertFind all matches invertFind the first matchinvertFind all matches    "    !"#$%&'()*+,+-.%invert-1.0.0.3-EGF2Z1OJdfd7dRZzVYVKAeInvert.ReexportInvertMapVectorbase GHC.GenericsGeneric.generic-deriving-1.14.2-JdxVXeVvt3xLxnx5QqPepUGenerics.Deriving.EnumGEnum'hashable-1.4.2.0-D6EOHOGayLdHLpjCLzeHpLData.Hashable.ClassHashableStrategyfunction injection bijection surjection strategyAllstrategyOneAndAlllinearSearchLazylinearSearchStrict binarySearch hashTable enumBoundedgenumMultiMap SingleMapunion singletonlookupempty hashSingleMap hashMultiMap ordSingleMap ordMultiMapfromListtoListmapMaybeghc-prim GHC.ClassesOrdGHC.EnumEnumBounded