úÎc±^¡J      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHISafe;=>?âkA class of types that have additional invariants defined upon them that aren't enforced by the type systemIf there is a  Validity a instance as well, then a  b should imply  isValid a for any b.If there is a  Validity b instance as well, then a  b should imply  isValid b for any a.None67;<=ST]6+!The result of validating a value. means the value was valid.'This type intentionally doesn't have a  7 instance to make sure you can never accidentally use  or  twice. kA class of types that have additional invariants defined upon them that aren't enforced by the type systemPurpose} checks whether a given value is a valid value and reports all reasons why the given value is not valid if that is the case.k only checks whether a given value is a valid value of its type. It is a helper function that checks that : says that there are no reasons why the value is invalid.Instantiating  To instantiate  , one has to implement only r. Use the helper functions below to define all the reasons why a given value would be a valid value of its type.Example: wnewtype Even = Even Int instance Validity Even validate (Event i) even i <?@> "The contained 'Int' is even." Semantics4 should be an underapproximation of actual validity.This means that if a is not a perfect representation of actual validity, for safety reasons, it should never return J( for invalid values, but it may return K for valid values. For example: isValid = const FalseAis a valid implementation for any type, because it never returns J for invalid values. isValid (Even i) = i == 2is a valid implementation for newtype Even = Even Int, but #isValid (Even i) = even i || i == 1is not because it returns J for an invalid value: '1'.Automatic instances with LSAn instance of this class can be made automatically if the type in question has a L) instance. This instance will try to use Q to on all structural sub-parts of the value that is being checked for validity.Example: £{-# LANGUAGE DeriveGeneric #-} data MyType = MyType { myDouble :: Double { myString :: String } deriving (Show, Eq, Generic) instance Validity MyTypegenerates something like: pinstance Validity MyType where validate (MyType d s) = d <?!> "myDouble" <> s <?!> "myString"+Declare any value to be valid in validation "trivialValidation a = seq a mempty#Check that a given invariant holds.BThe given string should describe the invariant, not the violation.Example: ,check (x < 5) "x is strictly smaller than 5" instead of #check (x < 5) "x is greater than 5" , but with the arguments flippedSDeclare a sub-part as a necessary part for validation, and annotate it with a name.Example: ”validate (a, b) = mconcat [ annotate a "The first element of the tuple" , annotate b "The second element of the tuple" ]!, but with the arguments flipped.%Decorate a validation with a locationConstruct a trivially invalid Example: ºdata Wrong = Wrong | Fine deriving (Show, Eq) instance Validity Wrong where validate w = case w of Wrong -> invalid "Wrong" Fine -> validCheck whether  is not valid. isInvalid = not . isValid3Construct a valid element from an unchecked element>Construct a valid element from an unchecked element, throwing M on invalid elements.validate a given value.gThis function returns either all the reasons why the given value is invalid, in the form of a list of  s, or it returns N5 with the input value, as evidence that it is valid.Note: You map want to use ( instead, if you want to display these   s to a user.Hvalidate a given value, and return a nice error if the value is invalid.&!Valid according to the contained O.'SValid if the contained numbers are valid and the denominator is strictly positive.(Valid according to POnly available with  base >= 4.8.)Trivially validBInteger is not trivially valid under the hood, but instantiating  N correctly would force validity to depend on a specific (big integer library  integer-gmp versus integer-simpleY). This is rather impractical so for the time being we have opted for assuming that an OX is always valid. Even though this is not technically sound, it is good enough for now.*NOT trivially valid:NaN is not valid.Infinite values are not valid.+NOT trivially valid:NaN is not valid.Infinite values are not valid.,Trivially valid-Trivially valid.Trivially valid/Trivially valid0Trivially valid1Trivially valid2Trivially valid3Trivially valid4Trivially valid5Trivially valid6Trivially valid7Trivially valid8Trivially valid9Trivially valid:cA Maybe thing is valid if the thing inside is valid or it's nothing It makes sense to assume that QZ is valid. If Nothing wasn't valid, you wouldn't have used a Maybe in the datastructure.;7A nonempty list is valid if all the elements are valid.9See the instance for 'Validity [a]' for more information.<9A list of things is valid if all of the things are valid.¥This means that the empty list is considered valid. If the empty list should not be considered valid as part of your custom data type, make sure to write a custom Validity instance=DAny sextuple of things is valid if all six of its elements are valid>FAny quintuple of things is valid if all five of its elements are valid?FAny quadruple of things is valid if all four of its elements are valid@DAny triple of things is valid if all three of its elements are validAOAny Either of things is valid if the contents are valid in either of the cases.B>Any tuple of things is valid if both of its elements are valid   RS  Safe^zTUVWXYZ[\       !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQOPRSTUVWXYZ[\]^_`abcdefghi'validity-0.6.0.0-FCq0QfeCNrMDly4ycTyXkK Data.ValidityData.RelativeValidityPaths_validitybaseGHC.BasememptymappendmconcatMonoidRelativeValidity isValidFor isInvalidFor Validation unValidationValidationChainViolatedLocationValidityvalidateisValidtrivialValidationcheckdeclareannotatedelvedecorateinvalidvalid isInvalidconstructValidconstructValidUnsafe checkValidityprettyValidation$fMonoidValidation $fGValidityM1$fGValidityM10$fGValidityM11$fGValidity:+:$fGValidity:*: $fGValidityV1 $fGValidityU1 $fGValidityK1$fValidityFixed$fValidityRatio$fValidityNatural$fValidityInteger$fValidityDouble$fValidityFloat$fValidityWord64$fValidityWord32$fValidityWord16$fValidityWord8$fValidityWord$fValidityInt64$fValidityInt32$fValidityInt16$fValidityInt8 $fValidityInt$fValidityChar$fValidityOrdering$fValidityBool $fValidity()$fValidityMaybe$fValidityNonEmpty $fValidity[]$fValidity(,,,,,)$fValidity(,,,,)$fValidity(,,,)$fValidity(,,)$fValidityEither $fValidity(,)$fValidityValidationChain$fShowValidationChain$fEqValidationChain$fGenericValidationChain$fShowValidation$fEqValidation$fGenericValidationghc-prim GHC.TypesTrueFalse GHC.GenericsGenericGHC.Errerror Data.EitherRight integer-gmpGHC.Integer.TypeInteger GHC.NaturalisValidNaturalNothing GValidity gValidateversion getBinDir getLibDir getDynLibDir getDataDir getLibexecDir getSysconfDirgetDataFileName