mixed-types-num-0.4.0.1: Alternative Prelude with numeric and logic expressions typed bottom-up

Safe HaskellNone
LanguageHaskell98

Control.CollectErrors

Contents

Synopsis

Monad for collecting errors in expressions

data CollectErrors es v Source #

A wrapper around values which can accommodate a list of (potential) errors that have (maybe) occurred during the computation of a value. A value may be missing, leaving only the error(s).

Such error collection allows one to write expressions with partial functions (ie functions that fail for some inputs) instead of branching after each application of such function. Dealing with the errors can be moved outside the expression. If the error data contain enough information, their list can be used to trace the source of the errors.

Constructors

CollectErrors 

Fields

Instances
(SuitableForCE es, CanEnsureCE es a) => CanEnsureCE es (CollectErrors es a) Source # 
Instance details

Defined in Control.CollectErrors

Associated Types

type EnsureCE es (CollectErrors es a) :: Type Source #

type EnsureNoCE es (CollectErrors es a) :: Type Source #

(ConvertibleExactly Bool t, Monoid es) => ConvertibleExactly Bool (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Literals

(ConvertibleExactly Double t, Monoid es) => ConvertibleExactly Double (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Literals

(ConvertibleExactly Int t, Monoid es) => ConvertibleExactly Int (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Literals

(ConvertibleExactly Integer t, Monoid es) => ConvertibleExactly Integer (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Literals

(ConvertibleExactly Rational t, Monoid es) => ConvertibleExactly Rational (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Literals

(CanAndOrAsymmetric Bool t2, SuitableForCE es, CanEnsureCE es t2, CanEnsureCE es (AndOrType Bool t2)) => CanAndOrAsymmetric Bool (CollectErrors es t2) Source # 
Instance details

Defined in Numeric.MixedTypes.Bool

Associated Types

type AndOrType Bool (CollectErrors es t2) :: Type Source #

(HasOrderAsymmetric Double b, CanEnsureCE es b, CanEnsureCE es (OrderCompareType Double b), IsBool (EnsureCE es (OrderCompareType Double b)), SuitableForCE es) => HasOrderAsymmetric Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

Associated Types

type OrderCompareType Double (CollectErrors es b) :: Type Source #

(HasOrderAsymmetric Int b, CanEnsureCE es b, CanEnsureCE es (OrderCompareType Int b), IsBool (EnsureCE es (OrderCompareType Int b)), SuitableForCE es) => HasOrderAsymmetric Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

Associated Types

type OrderCompareType Int (CollectErrors es b) :: Type Source #

(HasOrderAsymmetric Integer b, CanEnsureCE es b, CanEnsureCE es (OrderCompareType Integer b), IsBool (EnsureCE es (OrderCompareType Integer b)), SuitableForCE es) => HasOrderAsymmetric Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

Associated Types

type OrderCompareType Integer (CollectErrors es b) :: Type Source #

(HasOrderAsymmetric Rational b, CanEnsureCE es b, CanEnsureCE es (OrderCompareType Rational b), IsBool (EnsureCE es (OrderCompareType Rational b)), SuitableForCE es) => HasOrderAsymmetric Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

Associated Types

type OrderCompareType Rational (CollectErrors es b) :: Type Source #

(HasEqAsymmetric Bool b, CanEnsureCE es b, CanEnsureCE es (EqCompareType Bool b), IsBool (EnsureCE es (EqCompareType Bool b)), SuitableForCE es) => HasEqAsymmetric Bool (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType Bool (CollectErrors es b) :: Type Source #

(HasEqAsymmetric Double b, CanEnsureCE es b, CanEnsureCE es (EqCompareType Double b), IsBool (EnsureCE es (EqCompareType Double b)), SuitableForCE es) => HasEqAsymmetric Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType Double (CollectErrors es b) :: Type Source #

(HasEqAsymmetric Int b, CanEnsureCE es b, CanEnsureCE es (EqCompareType Int b), IsBool (EnsureCE es (EqCompareType Int b)), SuitableForCE es) => HasEqAsymmetric Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType Int (CollectErrors es b) :: Type Source #

(HasEqAsymmetric Integer b, CanEnsureCE es b, CanEnsureCE es (EqCompareType Integer b), IsBool (EnsureCE es (EqCompareType Integer b)), SuitableForCE es) => HasEqAsymmetric Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType Integer (CollectErrors es b) :: Type Source #

(HasEqAsymmetric Rational b, CanEnsureCE es b, CanEnsureCE es (EqCompareType Rational b), IsBool (EnsureCE es (EqCompareType Rational b)), SuitableForCE es) => HasEqAsymmetric Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType Rational (CollectErrors es b) :: Type Source #

(CanMinMaxAsymmetric Double b, CanEnsureCE es b, CanEnsureCE es (MinMaxType Double b), SuitableForCE es) => CanMinMaxAsymmetric Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

Associated Types

type MinMaxType Double (CollectErrors es b) :: Type Source #

(CanMinMaxAsymmetric Int b, CanEnsureCE es b, CanEnsureCE es (MinMaxType Int b), SuitableForCE es) => CanMinMaxAsymmetric Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

Associated Types

type MinMaxType Int (CollectErrors es b) :: Type Source #

(CanMinMaxAsymmetric Integer b, CanEnsureCE es b, CanEnsureCE es (MinMaxType Integer b), SuitableForCE es) => CanMinMaxAsymmetric Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

Associated Types

type MinMaxType Integer (CollectErrors es b) :: Type Source #

(CanMinMaxAsymmetric Rational b, CanEnsureCE es b, CanEnsureCE es (MinMaxType Rational b), SuitableForCE es) => CanMinMaxAsymmetric Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

Associated Types

type MinMaxType Rational (CollectErrors es b) :: Type Source #

(CanSub Double b, CanEnsureCE es b, CanEnsureCE es (SubType Double b), SuitableForCE es) => CanSub Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type SubType Double (CollectErrors es b) :: Type Source #

(CanSub Int b, CanEnsureCE es b, CanEnsureCE es (SubType Int b), SuitableForCE es) => CanSub Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type SubType Int (CollectErrors es b) :: Type Source #

Methods

sub :: Int -> CollectErrors es b -> SubType Int (CollectErrors es b) Source #

(CanSub Integer b, CanEnsureCE es b, CanEnsureCE es (SubType Integer b), SuitableForCE es) => CanSub Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type SubType Integer (CollectErrors es b) :: Type Source #

(CanSub Rational b, CanEnsureCE es b, CanEnsureCE es (SubType Rational b), SuitableForCE es) => CanSub Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type SubType Rational (CollectErrors es b) :: Type Source #

(CanAddAsymmetric Double b, CanEnsureCE es b, CanEnsureCE es (AddType Double b), SuitableForCE es) => CanAddAsymmetric Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type AddType Double (CollectErrors es b) :: Type Source #

(CanAddAsymmetric Int b, CanEnsureCE es b, CanEnsureCE es (AddType Int b), SuitableForCE es) => CanAddAsymmetric Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type AddType Int (CollectErrors es b) :: Type Source #

Methods

add :: Int -> CollectErrors es b -> AddType Int (CollectErrors es b) Source #

(CanAddAsymmetric Integer b, CanEnsureCE es b, CanEnsureCE es (AddType Integer b), SuitableForCE es) => CanAddAsymmetric Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type AddType Integer (CollectErrors es b) :: Type Source #

(CanAddAsymmetric Rational b, CanEnsureCE es b, CanEnsureCE es (AddType Rational b), SuitableForCE es) => CanAddAsymmetric Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type AddType Rational (CollectErrors es b) :: Type Source #

(CanPow Double b, CanEnsureCE es b, CanEnsureCE es (PowType Double b), CanEnsureCE es (PowTypeNoCN Double b), SuitableForCE es) => CanPow Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type PowTypeNoCN Double (CollectErrors es b) :: Type Source #

type PowType Double (CollectErrors es b) :: Type Source #

(CanPow Int b, CanEnsureCE es b, CanEnsureCE es (PowType Int b), CanEnsureCE es (PowTypeNoCN Int b), SuitableForCE es) => CanPow Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type PowTypeNoCN Int (CollectErrors es b) :: Type Source #

type PowType Int (CollectErrors es b) :: Type Source #

(CanPow Integer b, CanEnsureCE es b, CanEnsureCE es (PowType Integer b), CanEnsureCE es (PowTypeNoCN Integer b), SuitableForCE es) => CanPow Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type PowTypeNoCN Integer (CollectErrors es b) :: Type Source #

type PowType Integer (CollectErrors es b) :: Type Source #

(CanPow Rational b, CanEnsureCE es b, CanEnsureCE es (PowType Rational b), CanEnsureCE es (PowTypeNoCN Rational b), SuitableForCE es) => CanPow Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type PowTypeNoCN Rational (CollectErrors es b) :: Type Source #

type PowType Rational (CollectErrors es b) :: Type Source #

(CanMulAsymmetric Double b, CanEnsureCE es b, CanEnsureCE es (MulType Double b), SuitableForCE es) => CanMulAsymmetric Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type MulType Double (CollectErrors es b) :: Type Source #

(CanMulAsymmetric Int b, CanEnsureCE es b, CanEnsureCE es (MulType Int b), SuitableForCE es) => CanMulAsymmetric Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type MulType Int (CollectErrors es b) :: Type Source #

Methods

mul :: Int -> CollectErrors es b -> MulType Int (CollectErrors es b) Source #

(CanMulAsymmetric Integer b, CanEnsureCE es b, CanEnsureCE es (MulType Integer b), SuitableForCE es) => CanMulAsymmetric Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type MulType Integer (CollectErrors es b) :: Type Source #

(CanMulAsymmetric Rational b, CanEnsureCE es b, CanEnsureCE es (MulType Rational b), SuitableForCE es) => CanMulAsymmetric Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type MulType Rational (CollectErrors es b) :: Type Source #

(CanDiv Double b, CanEnsureCE es b, CanEnsureCE es (DivType Double b), CanEnsureCE es (DivTypeNoCN Double b), SuitableForCE es) => CanDiv Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

Associated Types

type DivTypeNoCN Double (CollectErrors es b) :: Type Source #

type DivType Double (CollectErrors es b) :: Type Source #

(CanDiv Int b, CanEnsureCE es b, CanEnsureCE es (DivType Int b), CanEnsureCE es (DivTypeNoCN Int b), SuitableForCE es) => CanDiv Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

Associated Types

type DivTypeNoCN Int (CollectErrors es b) :: Type Source #

type DivType Int (CollectErrors es b) :: Type Source #

(CanDiv Integer b, CanEnsureCE es b, CanEnsureCE es (DivType Integer b), CanEnsureCE es (DivTypeNoCN Integer b), SuitableForCE es) => CanDiv Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

Associated Types

type DivTypeNoCN Integer (CollectErrors es b) :: Type Source #

type DivType Integer (CollectErrors es b) :: Type Source #

(CanDiv Rational b, CanEnsureCE es b, CanEnsureCE es (DivType Rational b), CanEnsureCE es (DivTypeNoCN Rational b), SuitableForCE es) => CanDiv Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

Associated Types

type DivTypeNoCN Rational (CollectErrors es b) :: Type Source #

type DivType Rational (CollectErrors es b) :: Type Source #

Monoid es => Monad (CollectErrors es) Source # 
Instance details

Defined in Control.CollectErrors

Methods

(>>=) :: CollectErrors es a -> (a -> CollectErrors es b) -> CollectErrors es b #

(>>) :: CollectErrors es a -> CollectErrors es b -> CollectErrors es b #

return :: a -> CollectErrors es a #

fail :: String -> CollectErrors es a #

Functor (CollectErrors es) Source # 
Instance details

Defined in Control.CollectErrors

Methods

fmap :: (a -> b) -> CollectErrors es a -> CollectErrors es b #

(<$) :: a -> CollectErrors es b -> CollectErrors es a #

Monoid es => Applicative (CollectErrors es) Source # 
Instance details

Defined in Control.CollectErrors

Methods

pure :: a -> CollectErrors es a #

(<*>) :: CollectErrors es (a -> b) -> CollectErrors es a -> CollectErrors es b #

liftA2 :: (a -> b -> c) -> CollectErrors es a -> CollectErrors es b -> CollectErrors es c #

(*>) :: CollectErrors es a -> CollectErrors es b -> CollectErrors es b #

(<*) :: CollectErrors es a -> CollectErrors es b -> CollectErrors es a #

OrderedCertainlyRing (CN Integer) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

OrderedCertainlyRing (CN Rational) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

OrderedRing (CN Integer) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

OrderedRing (CN Rational) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Ring (CN Integer) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Ring (CN Rational) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

OrderedCertainlyField (CN Rational) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

OrderedField (CN Rational) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

Field (CN Rational) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

(HasEqAsymmetric (Maybe Bool) b, CanEnsureCE es b, CanEnsureCE es (EqCompareType (Maybe Bool) b), IsBool (EnsureCE es (EqCompareType (Maybe Bool) b)), SuitableForCE es) => HasEqAsymmetric (Maybe Bool) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType (Maybe Bool) (CollectErrors es b) :: Type Source #

(Show v, SuitableForCE es) => Show (CollectErrors es v) Source # 
Instance details

Defined in Control.CollectErrors

Methods

showsPrec :: Int -> CollectErrors es v -> ShowS #

show :: CollectErrors es v -> String #

showList :: [CollectErrors es v] -> ShowS #

(Arbitrary t, Monoid es) => Arbitrary (CollectErrors es t) Source # 
Instance details

Defined in Control.CollectErrors

Methods

arbitrary :: Gen (CollectErrors es t) #

shrink :: CollectErrors es t -> [CollectErrors es t] #

(CanNeg t, SuitableForCE es, CanEnsureCE es t, CanEnsureCE es (NegType t)) => CanNeg (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Bool

Associated Types

type NegType (CollectErrors es t) :: Type Source #

(CanTestCertainly t, SuitableForCE es) => CanTestCertainly (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Bool

(CanTestPosNeg t, SuitableForCE es) => CanTestPosNeg (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

(CanPickNonZero a, SuitableForCE es) => CanPickNonZero (CollectErrors es a) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Methods

pickNonZero :: [(CollectErrors es a, s)] -> Maybe (CollectErrors es a, s) Source #

(CanTestZero t, SuitableForCE es) => CanTestZero (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

(CanTestInteger t, SuitableForCE es) => CanTestInteger (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

(CanTestFinite t, SuitableForCE es) => CanTestFinite (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

(CanTestNaN t, SuitableForCE es) => CanTestNaN (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Methods

isNaN :: CollectErrors es t -> Bool Source #

(CanAbs a, CanEnsureCE es a, CanEnsureCE es (AbsType a), SuitableForCE es) => CanAbs (CollectErrors es a) Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

Associated Types

type AbsType (CollectErrors es a) :: Type Source #

Methods

abs :: CollectErrors es a -> AbsType (CollectErrors es a) Source #

(CanSinCos a, CanEnsureCE es a, CanEnsureCE es (SinCosType a), SuitableForCE es) => CanSinCos (CollectErrors es a) Source # 
Instance details

Defined in Numeric.MixedTypes.Elementary

Associated Types

type SinCosType (CollectErrors es a) :: Type Source #

(CanLog a, CanEnsureCE es a, CanEnsureCE es (LogType a), SuitableForCE es) => CanLog (CollectErrors es a) Source # 
Instance details

Defined in Numeric.MixedTypes.Elementary

Associated Types

type LogType (CollectErrors es a) :: Type Source #

Methods

log :: CollectErrors es a -> LogType (CollectErrors es a) Source #

(CanExp a, CanEnsureCE es a, CanEnsureCE es (ExpType a), SuitableForCE es) => CanExp (CollectErrors es a) Source # 
Instance details

Defined in Numeric.MixedTypes.Elementary

Associated Types

type ExpType (CollectErrors es a) :: Type Source #

Methods

exp :: CollectErrors es a -> ExpType (CollectErrors es a) Source #

(CanSqrt a, CanEnsureCE es a, CanEnsureCE es (SqrtType a), SuitableForCE es) => CanSqrt (CollectErrors es a) Source # 
Instance details

Defined in Numeric.MixedTypes.Elementary

Associated Types

type SqrtType (CollectErrors es a) :: Type Source #

Methods

sqrt :: CollectErrors es a -> SqrtType (CollectErrors es a) Source #

(CanAndOrAsymmetric t1 Bool, SuitableForCE es, CanEnsureCE es t1, CanEnsureCE es (AndOrType t1 Bool)) => CanAndOrAsymmetric (CollectErrors es t1) Bool Source # 
Instance details

Defined in Numeric.MixedTypes.Bool

Associated Types

type AndOrType (CollectErrors es t1) Bool :: Type Source #

(HasOrderAsymmetric a Integer, CanEnsureCE es a, CanEnsureCE es (OrderCompareType a Integer), IsBool (EnsureCE es (OrderCompareType a Integer)), SuitableForCE es) => HasOrderAsymmetric (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

Associated Types

type OrderCompareType (CollectErrors es a) Integer :: Type Source #

(HasOrderAsymmetric a Int, CanEnsureCE es a, CanEnsureCE es (OrderCompareType a Int), IsBool (EnsureCE es (OrderCompareType a Int)), SuitableForCE es) => HasOrderAsymmetric (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

Associated Types

type OrderCompareType (CollectErrors es a) Int :: Type Source #

(HasOrderAsymmetric a Rational, CanEnsureCE es a, CanEnsureCE es (OrderCompareType a Rational), IsBool (EnsureCE es (OrderCompareType a Rational)), SuitableForCE es) => HasOrderAsymmetric (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

Associated Types

type OrderCompareType (CollectErrors es a) Rational :: Type Source #

(HasOrderAsymmetric a Double, CanEnsureCE es a, CanEnsureCE es (OrderCompareType a Double), IsBool (EnsureCE es (OrderCompareType a Double)), SuitableForCE es) => HasOrderAsymmetric (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

Associated Types

type OrderCompareType (CollectErrors es a) Double :: Type Source #

(HasEqAsymmetric a Bool, CanEnsureCE es a, CanEnsureCE es (EqCompareType a Bool), IsBool (EnsureCE es (EqCompareType a Bool)), SuitableForCE es) => HasEqAsymmetric (CollectErrors es a) Bool Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType (CollectErrors es a) Bool :: Type Source #

(HasEqAsymmetric a Integer, CanEnsureCE es a, CanEnsureCE es (EqCompareType a Integer), IsBool (EnsureCE es (EqCompareType a Integer)), SuitableForCE es) => HasEqAsymmetric (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType (CollectErrors es a) Integer :: Type Source #

(HasEqAsymmetric a Int, CanEnsureCE es a, CanEnsureCE es (EqCompareType a Int), IsBool (EnsureCE es (EqCompareType a Int)), SuitableForCE es) => HasEqAsymmetric (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType (CollectErrors es a) Int :: Type Source #

(HasEqAsymmetric a Rational, CanEnsureCE es a, CanEnsureCE es (EqCompareType a Rational), IsBool (EnsureCE es (EqCompareType a Rational)), SuitableForCE es) => HasEqAsymmetric (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType (CollectErrors es a) Rational :: Type Source #

(HasEqAsymmetric a Double, CanEnsureCE es a, CanEnsureCE es (EqCompareType a Double), IsBool (EnsureCE es (EqCompareType a Double)), SuitableForCE es) => HasEqAsymmetric (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType (CollectErrors es a) Double :: Type Source #

(CanMinMaxAsymmetric a Integer, CanEnsureCE es a, CanEnsureCE es (MinMaxType a Integer), SuitableForCE es) => CanMinMaxAsymmetric (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

Associated Types

type MinMaxType (CollectErrors es a) Integer :: Type Source #

(CanMinMaxAsymmetric a Int, CanEnsureCE es a, CanEnsureCE es (MinMaxType a Int), SuitableForCE es) => CanMinMaxAsymmetric (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

Associated Types

type MinMaxType (CollectErrors es a) Int :: Type Source #

(CanMinMaxAsymmetric a Rational, CanEnsureCE es a, CanEnsureCE es (MinMaxType a Rational), SuitableForCE es) => CanMinMaxAsymmetric (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

Associated Types

type MinMaxType (CollectErrors es a) Rational :: Type Source #

(CanMinMaxAsymmetric a Double, CanEnsureCE es a, CanEnsureCE es (MinMaxType a Double), SuitableForCE es) => CanMinMaxAsymmetric (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

Associated Types

type MinMaxType (CollectErrors es a) Double :: Type Source #

(CanSub a Integer, CanEnsureCE es a, CanEnsureCE es (SubType a Integer), SuitableForCE es) => CanSub (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type SubType (CollectErrors es a) Integer :: Type Source #

(CanSub a Int, CanEnsureCE es a, CanEnsureCE es (SubType a Int), SuitableForCE es) => CanSub (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type SubType (CollectErrors es a) Int :: Type Source #

Methods

sub :: CollectErrors es a -> Int -> SubType (CollectErrors es a) Int Source #

(CanSub a Rational, CanEnsureCE es a, CanEnsureCE es (SubType a Rational), SuitableForCE es) => CanSub (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type SubType (CollectErrors es a) Rational :: Type Source #

(CanSub a Double, CanEnsureCE es a, CanEnsureCE es (SubType a Double), SuitableForCE es) => CanSub (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type SubType (CollectErrors es a) Double :: Type Source #

(CanAddAsymmetric a Integer, CanEnsureCE es a, CanEnsureCE es (AddType a Integer), SuitableForCE es) => CanAddAsymmetric (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type AddType (CollectErrors es a) Integer :: Type Source #

(CanAddAsymmetric a Int, CanEnsureCE es a, CanEnsureCE es (AddType a Int), SuitableForCE es) => CanAddAsymmetric (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type AddType (CollectErrors es a) Int :: Type Source #

Methods

add :: CollectErrors es a -> Int -> AddType (CollectErrors es a) Int Source #

(CanAddAsymmetric a Rational, CanEnsureCE es a, CanEnsureCE es (AddType a Rational), SuitableForCE es) => CanAddAsymmetric (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type AddType (CollectErrors es a) Rational :: Type Source #

(CanAddAsymmetric a Double, CanEnsureCE es a, CanEnsureCE es (AddType a Double), SuitableForCE es) => CanAddAsymmetric (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type AddType (CollectErrors es a) Double :: Type Source #

(CanPow a Integer, CanEnsureCE es a, CanEnsureCE es (PowType a Integer), CanEnsureCE es (PowTypeNoCN a Integer), SuitableForCE es) => CanPow (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type PowTypeNoCN (CollectErrors es a) Integer :: Type Source #

type PowType (CollectErrors es a) Integer :: Type Source #

(CanPow a Int, CanEnsureCE es a, CanEnsureCE es (PowType a Int), CanEnsureCE es (PowTypeNoCN a Int), SuitableForCE es) => CanPow (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type PowTypeNoCN (CollectErrors es a) Int :: Type Source #

type PowType (CollectErrors es a) Int :: Type Source #

(CanPow a Rational, CanEnsureCE es a, CanEnsureCE es (PowType a Rational), CanEnsureCE es (PowTypeNoCN a Rational), SuitableForCE es) => CanPow (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type PowTypeNoCN (CollectErrors es a) Rational :: Type Source #

type PowType (CollectErrors es a) Rational :: Type Source #

(CanPow a Double, CanEnsureCE es a, CanEnsureCE es (PowType a Double), CanEnsureCE es (PowTypeNoCN a Double), SuitableForCE es) => CanPow (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type PowTypeNoCN (CollectErrors es a) Double :: Type Source #

type PowType (CollectErrors es a) Double :: Type Source #

(CanMulAsymmetric a Integer, CanEnsureCE es a, CanEnsureCE es (MulType a Integer), SuitableForCE es) => CanMulAsymmetric (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type MulType (CollectErrors es a) Integer :: Type Source #

(CanMulAsymmetric a Int, CanEnsureCE es a, CanEnsureCE es (MulType a Int), SuitableForCE es) => CanMulAsymmetric (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type MulType (CollectErrors es a) Int :: Type Source #

Methods

mul :: CollectErrors es a -> Int -> MulType (CollectErrors es a) Int Source #

(CanMulAsymmetric a Rational, CanEnsureCE es a, CanEnsureCE es (MulType a Rational), SuitableForCE es) => CanMulAsymmetric (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type MulType (CollectErrors es a) Rational :: Type Source #

(CanMulAsymmetric a Double, CanEnsureCE es a, CanEnsureCE es (MulType a Double), SuitableForCE es) => CanMulAsymmetric (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type MulType (CollectErrors es a) Double :: Type Source #

(CanDiv a Integer, CanEnsureCE es a, CanEnsureCE es (DivType a Integer), CanEnsureCE es (DivTypeNoCN a Integer), SuitableForCE es) => CanDiv (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.Field

Associated Types

type DivTypeNoCN (CollectErrors es a) Integer :: Type Source #

type DivType (CollectErrors es a) Integer :: Type Source #

(CanDiv a Int, CanEnsureCE es a, CanEnsureCE es (DivType a Int), CanEnsureCE es (DivTypeNoCN a Int), SuitableForCE es) => CanDiv (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.Field

Associated Types

type DivTypeNoCN (CollectErrors es a) Int :: Type Source #

type DivType (CollectErrors es a) Int :: Type Source #

(CanDiv a Rational, CanEnsureCE es a, CanEnsureCE es (DivType a Rational), CanEnsureCE es (DivTypeNoCN a Rational), SuitableForCE es) => CanDiv (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.Field

Associated Types

type DivTypeNoCN (CollectErrors es a) Rational :: Type Source #

type DivType (CollectErrors es a) Rational :: Type Source #

(CanDiv a Double, CanEnsureCE es a, CanEnsureCE es (DivType a Double), CanEnsureCE es (DivTypeNoCN a Double), SuitableForCE es) => CanDiv (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.Field

Associated Types

type DivTypeNoCN (CollectErrors es a) Double :: Type Source #

type DivType (CollectErrors es a) Double :: Type Source #

(HasEqAsymmetric a (Maybe Bool), CanEnsureCE es a, CanEnsureCE es (EqCompareType a (Maybe Bool)), IsBool (EnsureCE es (EqCompareType a (Maybe Bool))), SuitableForCE es) => HasEqAsymmetric (CollectErrors es a) (Maybe Bool) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType (CollectErrors es a) (Maybe Bool) :: Type Source #

(CanAndOrAsymmetric t1 t2, SuitableForCE es, CanEnsureCE es t1, CanEnsureCE es t2, CanEnsureCE es (AndOrType t1 t2)) => CanAndOrAsymmetric (CollectErrors es t1) (CollectErrors es t2) Source # 
Instance details

Defined in Numeric.MixedTypes.Bool

Associated Types

type AndOrType (CollectErrors es t1) (CollectErrors es t2) :: Type Source #

(HasOrderAsymmetric a b, CanEnsureCE es a, CanEnsureCE es b, CanEnsureCE es (OrderCompareType a b), IsBool (EnsureCE es (OrderCompareType a b)), SuitableForCE es) => HasOrderAsymmetric (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

Associated Types

type OrderCompareType (CollectErrors es a) (CollectErrors es b) :: Type Source #

(HasEqAsymmetric a b, CanEnsureCE es (EqCompareType a b), CanEnsureCE es a, CanEnsureCE es b, IsBool (EnsureCE es (EqCompareType a b)), SuitableForCE es) => HasEqAsymmetric (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

Associated Types

type EqCompareType (CollectErrors es a) (CollectErrors es b) :: Type Source #

(CanMinMaxAsymmetric a b, CanEnsureCE es a, CanEnsureCE es b, CanEnsureCE es (MinMaxType a b), SuitableForCE es) => CanMinMaxAsymmetric (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

Associated Types

type MinMaxType (CollectErrors es a) (CollectErrors es b) :: Type Source #

(CanSub a b, CanEnsureCE es a, CanEnsureCE es b, CanEnsureCE es (SubType a b), SuitableForCE es) => CanSub (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type SubType (CollectErrors es a) (CollectErrors es b) :: Type Source #

Methods

sub :: CollectErrors es a -> CollectErrors es b -> SubType (CollectErrors es a) (CollectErrors es b) Source #

(CanAddAsymmetric a b, CanEnsureCE es a, CanEnsureCE es b, CanEnsureCE es (AddType a b), SuitableForCE es) => CanAddAsymmetric (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

Associated Types

type AddType (CollectErrors es a) (CollectErrors es b) :: Type Source #

Methods

add :: CollectErrors es a -> CollectErrors es b -> AddType (CollectErrors es a) (CollectErrors es b) Source #

(CanPow a b, CanEnsureCE es a, CanEnsureCE es b, CanEnsureCE es (PowTypeNoCN a b), CanEnsureCE es (PowType a b), SuitableForCE es) => CanPow (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type PowTypeNoCN (CollectErrors es a) (CollectErrors es b) :: Type Source #

type PowType (CollectErrors es a) (CollectErrors es b) :: Type Source #

(CanMulAsymmetric a b, CanEnsureCE es a, CanEnsureCE es b, CanEnsureCE es (MulType a b), SuitableForCE es) => CanMulAsymmetric (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

Associated Types

type MulType (CollectErrors es a) (CollectErrors es b) :: Type Source #

Methods

mul :: CollectErrors es a -> CollectErrors es b -> MulType (CollectErrors es a) (CollectErrors es b) Source #

(CanDiv a b, CanEnsureCE es a, CanEnsureCE es b, CanEnsureCE es (DivType a b), CanEnsureCE es (DivTypeNoCN a b), SuitableForCE es) => CanDiv (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

Associated Types

type DivTypeNoCN (CollectErrors es a) (CollectErrors es b) :: Type Source #

type DivType (CollectErrors es a) (CollectErrors es b) :: Type Source #

type EnsureCE es (CollectErrors es a) Source # 
Instance details

Defined in Control.CollectErrors

type EnsureCE es (CollectErrors es a) = EnsureCE es a
type EnsureNoCE es (CollectErrors es a) Source # 
Instance details

Defined in Control.CollectErrors

type EnsureNoCE es (CollectErrors es a) = EnsureNoCE es a
type AndOrType Bool (CollectErrors es t2) Source # 
Instance details

Defined in Numeric.MixedTypes.Bool

type OrderCompareType Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

type OrderCompareType Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

type OrderCompareType Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

type OrderCompareType Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

type EqCompareType Bool (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type EqCompareType Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type EqCompareType Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type EqCompareType Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type EqCompareType Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type MinMaxType Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

type MinMaxType Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

type MinMaxType Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

type MinMaxType Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

type SubType Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type SubType Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type SubType Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type SubType Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type AddType Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type AddType Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type AddType Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type AddType Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type PowTypeNoCN Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowTypeNoCN Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowTypeNoCN Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowTypeNoCN Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowType Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowType Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowType Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowType Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type MulType Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type MulType Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type MulType Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type MulType Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type DivTypeNoCN Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivTypeNoCN Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivTypeNoCN Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivTypeNoCN Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivType Double (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivType Int (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivType Integer (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivType Rational (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type EqCompareType (Maybe Bool) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type NegType (CollectErrors es t) Source # 
Instance details

Defined in Numeric.MixedTypes.Bool

type NegType (CollectErrors es t) = EnsureCE es (NegType t)
type AbsType (CollectErrors es a) Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

type AbsType (CollectErrors es a) = EnsureCE es (AbsType a)
type SinCosType (CollectErrors es a) Source # 
Instance details

Defined in Numeric.MixedTypes.Elementary

type LogType (CollectErrors es a) Source # 
Instance details

Defined in Numeric.MixedTypes.Elementary

type LogType (CollectErrors es a) = EnsureCE es (LogType a)
type ExpType (CollectErrors es a) Source # 
Instance details

Defined in Numeric.MixedTypes.Elementary

type ExpType (CollectErrors es a) = EnsureCE es (ExpType a)
type SqrtType (CollectErrors es a) Source # 
Instance details

Defined in Numeric.MixedTypes.Elementary

type AndOrType (CollectErrors es t1) Bool Source # 
Instance details

Defined in Numeric.MixedTypes.Bool

type OrderCompareType (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

type OrderCompareType (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

type OrderCompareType (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

type OrderCompareType (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

type EqCompareType (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type EqCompareType (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type EqCompareType (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type EqCompareType (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type EqCompareType (CollectErrors es a) Bool Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type MinMaxType (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

type MinMaxType (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

type MinMaxType (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

type MinMaxType (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

type SubType (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type SubType (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type SubType (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type SubType (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type AddType (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type AddType (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type AddType (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type AddType (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type PowTypeNoCN (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowTypeNoCN (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowTypeNoCN (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowTypeNoCN (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowType (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowType (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowType (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowType (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type MulType (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type MulType (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type MulType (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type MulType (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type DivTypeNoCN (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivTypeNoCN (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivTypeNoCN (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivTypeNoCN (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivType (CollectErrors es a) Double Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivType (CollectErrors es a) Rational Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivType (CollectErrors es a) Int Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivType (CollectErrors es a) Integer Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type EqCompareType (CollectErrors es a) (Maybe Bool) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type AndOrType (CollectErrors es t1) (CollectErrors es t2) Source # 
Instance details

Defined in Numeric.MixedTypes.Bool

type AndOrType (CollectErrors es t1) (CollectErrors es t2) = EnsureCE es (AndOrType t1 t2)
type OrderCompareType (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ord

type EqCompareType (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Eq

type MinMaxType (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.MinMaxAbs

type SubType (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type SubType (CollectErrors es a) (CollectErrors es b) = EnsureCE es (SubType a b)
type AddType (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.AddSub

type AddType (CollectErrors es a) (CollectErrors es b) = EnsureCE es (AddType a b)
type PowTypeNoCN (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowType (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type PowType (CollectErrors es a) (CollectErrors es b) = EnsureCE es (PowType a b)
type MulType (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Ring

type MulType (CollectErrors es a) (CollectErrors es b) = EnsureCE es (MulType a b)
type DivTypeNoCN (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivType (CollectErrors es a) (CollectErrors es b) Source # 
Instance details

Defined in Numeric.MixedTypes.Field

type DivType (CollectErrors es a) (CollectErrors es b) = EnsureCE es (DivType a b)

getValueIfNoErrorCE :: SuitableForCE es => CollectErrors es v -> (v -> t) -> (es -> t) -> t Source #

A safe way to get a value out of the CollectErrors wrapper.

Tools for avoiding CollectErrors(CollectErrors t) and putting CE inside containers

class (Monoid es, EnsureCE es (EnsureCE es a) ~ EnsureCE es a, EnsureCE es (EnsureNoCE es a) ~ EnsureCE es a, EnsureNoCE es (EnsureCE es a) ~ EnsureNoCE es a, EnsureNoCE es (EnsureNoCE es a) ~ EnsureNoCE es a) => CanEnsureCE es a where Source #

A mechanism for adding and removing CollectErrors to a type in a manner that depends on the shape of the type, especially whether it already has CollectErrors.

Minimal complete definition

Nothing

Associated Types

type EnsureCE es a Source #

Add CollectErrors to a type except when the type already has CollectErrors in it.

type EnsureNoCE es a Source #

Methods

ensureCE Source #

Arguments

:: Maybe es

sample only

-> a 
-> EnsureCE es a 

Translate a value of a type a to a value of a type EnsureCE es a.

ensureCE Source #

Arguments

:: EnsureCE es a ~ CollectErrors es a 
=> Maybe es

sample only

-> a 
-> EnsureCE es a 

Translate a value of a type a to a value of a type EnsureCE es a.

deEnsureCE Source #

Arguments

:: Maybe es

sample only

-> EnsureCE es a 
-> Either es a 

deEnsureCE Source #

Arguments

:: (EnsureCE es a ~ CollectErrors es a, Eq es) 
=> Maybe es

sample only

-> EnsureCE es a 
-> Either es a 

ensureNoCE Source #

Arguments

:: Maybe es

sample only

-> a 
-> (Maybe (EnsureNoCE es a), es) 

ensureNoCE Source #

Arguments

:: (EnsureNoCE es a ~ a, Eq es, Monoid es) 
=> Maybe es

sample only

-> a 
-> (Maybe (EnsureNoCE es a), es) 

noValueECE Source #

Arguments

:: Maybe a

sample only

-> es 
-> EnsureCE es a 

Make CollectErrors record with no value, only errors.

noValueECE Source #

Arguments

:: EnsureCE es a ~ CollectErrors es a 
=> Maybe a

sample only

-> es 
-> EnsureCE es a 

Make CollectErrors record with no value, only errors.

prependErrorsECE :: Maybe a -> es -> EnsureCE es a -> EnsureCE es a Source #

prependErrorsECE :: EnsureCE es a ~ CollectErrors es a => Maybe a -> es -> EnsureCE es a -> EnsureCE es a Source #

Instances
SuitableForCE es => CanEnsureCE es () Source # 
Instance details

Defined in Control.CollectErrors

Associated Types

type EnsureCE es () :: Type Source #

type EnsureNoCE es () :: Type Source #

Methods

ensureCE :: Maybe es -> () -> EnsureCE es () Source #

deEnsureCE :: Maybe es -> EnsureCE es () -> Either es () Source #

ensureNoCE :: Maybe es -> () -> (Maybe (EnsureNoCE es ()), es) Source #

noValueECE :: Maybe () -> es -> EnsureCE es () Source #

prependErrorsECE :: Maybe () -> es -> EnsureCE es () -> EnsureCE es () Source #

SuitableForCE es => CanEnsureCE es Char Source # 
Instance details

Defined in Control.CollectErrors

Associated Types

type EnsureCE es Char :: Type Source #

type EnsureNoCE es Char :: Type Source #

SuitableForCE es => CanEnsureCE es Bool Source # 
Instance details

Defined in Control.CollectErrors

Associated Types

type EnsureCE es Bool :: Type Source #

type EnsureNoCE es Bool :: Type Source #

SuitableForCE es => CanEnsureCE es Double Source # 
Instance details

Defined in Control.CollectErrors

Associated Types

type EnsureCE es Double :: Type Source #

type EnsureNoCE es Double :: Type Source #

SuitableForCE es => CanEnsureCE es Rational Source # 
Instance details

Defined in Control.CollectErrors

Associated Types

type EnsureCE es Rational :: Type Source #

type EnsureNoCE es Rational :: Type Source #

SuitableForCE es => CanEnsureCE es Integer Source # 
Instance details

Defined in Control.CollectErrors

Associated Types

type EnsureCE es Integer :: Type Source #

type EnsureNoCE es Integer :: Type Source #

SuitableForCE es => CanEnsureCE es Int Source # 
Instance details

Defined in Control.CollectErrors

Associated Types

type EnsureCE es Int :: Type Source #

type EnsureNoCE es Int :: Type Source #

(SuitableForCE es, CanEnsureCE es a) => CanEnsureCE es (Maybe a) Source # 
Instance details

Defined in Control.CollectErrors

Associated Types

type EnsureCE es (Maybe a) :: Type Source #

type EnsureNoCE es (Maybe a) :: Type Source #

Methods

ensureCE :: Maybe es -> Maybe a -> EnsureCE es (Maybe a) Source #

deEnsureCE :: Maybe es -> EnsureCE es (Maybe a) -> Either es (Maybe a) Source #

ensureNoCE :: Maybe es -> Maybe a -> (Maybe (EnsureNoCE es (Maybe a)), es) Source #

noValueECE :: Maybe (Maybe a) -> es -> EnsureCE es (Maybe a) Source #

prependErrorsECE :: Maybe (Maybe a) -> es -> EnsureCE es (Maybe a) -> EnsureCE es (Maybe a) Source #

(SuitableForCE es, CanEnsureCE es a) => CanEnsureCE es (b -> a) Source # 
Instance details

Defined in Control.CollectErrors

Associated Types

type EnsureCE es (b -> a) :: Type Source #

type EnsureNoCE es (b -> a) :: Type Source #

Methods

ensureCE :: Maybe es -> (b -> a) -> EnsureCE es (b -> a) Source #

deEnsureCE :: Maybe es -> EnsureCE es (b -> a) -> Either es (b -> a) Source #

ensureNoCE :: Maybe es -> (b -> a) -> (Maybe (EnsureNoCE es (b -> a)), es) Source #

noValueECE :: Maybe (b -> a) -> es -> EnsureCE es (b -> a) Source #

prependErrorsECE :: Maybe (b -> a) -> es -> EnsureCE es (b -> a) -> EnsureCE es (b -> a) Source #

(SuitableForCE es, CanEnsureCE es a) => CanEnsureCE es (CollectErrors es a) Source # 
Instance details

Defined in Control.CollectErrors

Associated Types

type EnsureCE es (CollectErrors es a) :: Type Source #

type EnsureNoCE es (CollectErrors es a) :: Type Source #

getValueOrThrowErrorsNCE Source #

Arguments

:: (SuitableForCE es, CanEnsureCE es v, Show v) 
=> Maybe es

sample only

-> v 
-> EnsureNoCE es v 

An unsafe way to get a value out of an CollectErrors wrapper.

lift1CE :: (SuitableForCE es, CanEnsureCE es a, CanEnsureCE es c) => (a -> c) -> CollectErrors es a -> EnsureCE es c Source #

Add error collection support to an unary function whose result may already have collected errors.

lift2CE :: (SuitableForCE es, CanEnsureCE es a, CanEnsureCE es b, CanEnsureCE es c) => (a -> b -> c) -> CollectErrors es a -> CollectErrors es b -> EnsureCE es c Source #

Add error collection support to a binary function whose result may already have collected errors.

lift2TCE :: (SuitableForCE es, CanEnsureCE es a, CanEnsureCE es c) => (a -> b -> c) -> CollectErrors es a -> b -> EnsureCE es c Source #

Add error collection support to a binary function whose result may already have collected errors. A version where the second operand is not lifted, only the first one.

lift2TLCE :: (SuitableForCE es, CanEnsureCE es b, CanEnsureCE es c) => (a -> b -> c) -> a -> CollectErrors es b -> EnsureCE es c Source #

Add error collection support to a binary function whose result may already have collected errors. A version where the first operand is not lifted, only the second one.

Tools for pulling errors out of structures

class SuitableForCE es => CanExtractCE es f where Source #

Ability to lift collected (potential) errors from inside some structure/collection.

This is useful mostly for structures that use the default implementation of 'CanEnsureCE es'.

Minimal complete definition

Nothing

Methods

extractCE :: CanEnsureCE es c => Maybe es -> f c -> CollectErrors es (f (EnsureNoCE es c)) Source #

extractCE :: (CanEnsureCE es c, Traversable f) => Maybe es -> f c -> CollectErrors es (f (EnsureNoCE es c)) Source #