úÎ!N°I®N      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMSafe;=>? 8validitykA 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;<=STHc, validity!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.validityBA class of types that have additional invariants defined upon themvalidity+Declare any value to be valid in validation "trivialValidation a = seq a memptyvalidity#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"validity , but with the arguments flippedvaliditySDeclare 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" ]validity!, but with the arguments flipped.validity%Decorate a validation with a locationvalidityConstruct a trivially invalid  Example: ºdata Wrong = Wrong | Fine deriving (Show, Eq) instance Validity Wrong where validate w = case w of Wrong -> invalid "Wrong" Fine -> validvalidityCheck whether a value is valid.validity#Check whether a value is not valid. isInvalid = not . isValidvalidity3Construct a valid element from an unchecked elementvalidity>Construct a valid element from an unchecked element, throwing N on invalid elements.validityvalidate 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 O5 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.validityHvalidate a given value, and return a nice error if the value is invalid.*validity!Valid according to the contained P.+validitySValid if the contained numbers are valid and the denominator is strictly positive.,validityValid according to QOnly available with  base >= 4.8.-validityTrivially 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 PX is always valid. Even though this is not technically sound, it is good enough for now..validityNOT trivially valid:NaN is not valid.Infinite values are not valid./validityNOT trivially valid:NaN is not valid.Infinite values are not valid.0validityTrivially valid1validityTrivially valid2validityTrivially valid3validityTrivially valid4validityTrivially valid5validityTrivially valid6validityTrivially valid7validityTrivially valid8validityTrivially valid9validityTrivially valid:validityTrivially valid;validityTrivially valid<validityTrivially valid=validityTrivially valid>validitycA Maybe thing is valid if the thing inside is valid or it's nothing It makes sense to assume that RZ is valid. If Nothing wasn't valid, you wouldn't have used a Maybe in the datastructure.?validity7A nonempty list is valid if all the elements are valid.9See the instance for 'Validity [a]' for more information.@validity9A 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 instanceAvalidityDAny sextuple of things is valid if all six of its elements are validBvalidityFAny quintuple of things is valid if all five of its elements are validCvalidityFAny quadruple of things is valid if all four of its elements are validDvalidityDAny triple of things is valid if all three of its elements are validEvalidityOAny Either of things is valid if the contents are valid in either of the cases.Fvalidity>Any tuple of things is valid if both of its elements are valid    SafeI‰STUVWXYZ[      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcde'validity-0.7.0.0-IAUu4Us1Nxz9hDCrt8ADs9 Data.ValidityData.RelativeValidityPaths_validitybaseGHC.Base<>memptymappendmconcat SemigroupMonoidRelativeValidity isValidFor isInvalidFor Validation unValidationValidationChainViolatedLocationValidityvalidategenericValidatetrivialValidationcheckdeclareannotatedelvedecorateinvalidvalidisValid isInvalidconstructValidconstructValidUnsafe checkValidityprettyValidation$fMonoidValidation$fSemigroupValidation $fGValidityM1$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.Errerror Data.EitherRight integer-gmpGHC.Integer.TypeInteger GHC.NaturalisValidNaturalNothingversion getBinDir getLibDir getDynLibDir getDataDir getLibexecDir getSysconfDirgetDataFileName