!SHNS      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSafe=?@A yvaliditykA 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.None78=>?UVL/ 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 locationvalidityIDecorate a piecewise validation of a list with their location in the listvalidityConstruct a trivially invalid  Example: data 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 element validity>Construct a valid element from an unchecked element, throwing S 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 T5 with the input value, as evidence that it is valid.Note: You map want to use $( instead, if you want to display these   s to a user."validity Check if a   concerns a valid value.#validityValidate a given valuefThis function will return a nice error if the value is invalid. It will return the original value in T: if it was valid, as evidence that it has been validated.$validity Render a   in a somewhat pretty way.This function will return U if the   concerned a valid value./validity!Valid according to the contained V.0validitySValid if the contained numbers are valid and the denominator is strictly positive.1validityValid according to WOnly available with  base >= 4.8.2validityTrivially 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 VX is always valid. Even though this is not technically sound, it is good enough for now.3validityTrivially valid:4validityTrivially valid:5validityTrivially valid6validityTrivially valid7validityTrivially valid8validityTrivially valid9validityTrivially valid:validityTrivially valid;validityTrivially valid<validityTrivially valid=validityTrivially valid>validityTrivially valid?validityTrivially valid@validityTrivially validAvalidityTrivially validBvalidityTrivially validCvaliditycA Maybe thing is valid if the thing inside is valid or it's nothing It makes sense to assume that UZ is valid. If Nothing wasn't valid, you wouldn't have used a Maybe in the datastructure.Dvalidity7A nonempty list is valid if all the elements are valid.9See the instance for 'Validity [a]' for more information.Evalidity9A 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 instanceFvalidityDAny sextuple of things is valid if all six of its elements are validGvalidityFAny quintuple of things is valid if all five of its elements are validHvalidityFAny quadruple of things is valid if all four of its elements are validIvalidityDAny triple of things is valid if all three of its elements are validJvalidityOAny Either of things is valid if the contents are valid in either of the cases.Kvalidity>Any tuple of things is valid if both of its elements are valid"   !"#$"  !"#$SafeMXYZ[\]^_`      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijk'validity-0.9.0.1-9lKxoO43uvJEsRRzojpvHo Data.ValidityData.RelativeValidityPaths_validitybaseGHC.Base<>memptymappendmconcat SemigroupMonoidRelativeValidity isValidFor isInvalidFor Validation unValidationValidationChainViolatedLocationValidityvalidategenericValidatetrivialValidationcheckdeclareannotatedelvedecorate decorateListinvalidvalidvalidateNotNaNvalidateNotInfiniteisValid isInvalidconstructValidconstructValidUnsafe checkValidityvalidationIsValidprettyValidateprettyValidation$fMonoidValidation$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 GHC.MaybeNothing integer-gmpGHC.Integer.TypeInteger GHC.NaturalisValidNaturalversion getBinDir getLibDir getDynLibDir getDataDir getLibexecDir getSysconfDirgetDataFileName