Safe Haskell	None
Language	Haskell98

MathObj.Wrapper.Haskell98

Description

A wrapper that provides instances of Haskell 98 and NumericPrelude numeric type classes for types that have Haskell 98 instances.

Synopsis

newtype T a = Cons {
- decons :: a
}
lift1 :: (a -> b) -> T a -> T b
lift2 :: (a -> b -> c) -> T a -> T b -> T c
unliftF1 :: Functor f => (f (T a) -> f (T b)) -> f a -> f b
unliftF2 :: Functor f => (f (T a) -> f (T b) -> f (T c)) -> f a -> f b -> f c
unimplemented :: String -> a

Documentation

newtype T a Source #

This makes a type usable in the NumericPrelude framework that was initially implemented for Haskell98 typeclasses. E.g. if a is in class Num, then T a is both in class Num and in C.

You can even lift container types. If Polynomial a is in Num for all types a that are in Num, then T (Polynomial (MathObj.Wrapper.NumericPrelude.T a)) is in C for all types a that are in C.

Constructors

Cons
Fields decons :: a

Instances

Functor T Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods fmap :: (a -> b) -> T a -> T b # (<$) :: a -> T b -> T a #
Bounded a => Bounded (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods minBound :: T a # maxBound :: T a #
Enum a => Enum (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods succ :: T a -> T a # pred :: T a -> T a # toEnum :: Int -> T a # fromEnum :: T a -> Int # enumFrom :: T a -> [T a] # enumFromThen :: T a -> T a -> [T a] # enumFromTo :: T a -> T a -> [T a] # enumFromThenTo :: T a -> T a -> T a -> [T a] #
Eq a => Eq (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods (==) :: T a -> T a -> Bool # (/=) :: T a -> T a -> Bool #
Floating a => Floating (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods pi :: T a # exp :: T a -> T a # log :: T a -> T a # sqrt :: T a -> T a # (**) :: T a -> T a -> T a # logBase :: T a -> T a -> T a # sin :: T a -> T a # cos :: T a -> T a # tan :: T a -> T a # asin :: T a -> T a # acos :: T a -> T a # atan :: T a -> T a # sinh :: T a -> T a # cosh :: T a -> T a # tanh :: T a -> T a # asinh :: T a -> T a # acosh :: T a -> T a # atanh :: T a -> T a # log1p :: T a -> T a # expm1 :: T a -> T a # log1pexp :: T a -> T a # log1mexp :: T a -> T a #
Fractional a => Fractional (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods (/) :: T a -> T a -> T a # recip :: T a -> T a # fromRational :: Rational -> T a #
Integral a => Integral (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods quot :: T a -> T a -> T a # rem :: T a -> T a -> T a # div :: T a -> T a -> T a # mod :: T a -> T a -> T a # quotRem :: T a -> T a -> (T a, T a) # divMod :: T a -> T a -> (T a, T a) # toInteger :: T a -> Integer #
Num a => Num (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods (+) :: T a -> T a -> T a # (-) :: T a -> T a -> T a # (*) :: T a -> T a -> T a # negate :: T a -> T a # abs :: T a -> T a # signum :: T a -> T a # fromInteger :: Integer -> T a #
Ord a => Ord (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods compare :: T a -> T a -> Ordering # (<) :: T a -> T a -> Bool # (<=) :: T a -> T a -> Bool # (>) :: T a -> T a -> Bool # (>=) :: T a -> T a -> Bool # max :: T a -> T a -> T a # min :: T a -> T a -> T a #
Real a => Real (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods toRational :: T a -> Rational #
RealFloat a => RealFloat (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods floatRadix :: T a -> Integer # floatDigits :: T a -> Int # floatRange :: T a -> (Int, Int) # decodeFloat :: T a -> (Integer, Int) # encodeFloat :: Integer -> Int -> T a # exponent :: T a -> Int # significand :: T a -> T a # scaleFloat :: Int -> T a -> T a # isNaN :: T a -> Bool # isInfinite :: T a -> Bool # isDenormalized :: T a -> Bool # isNegativeZero :: T a -> Bool # isIEEE :: T a -> Bool # atan2 :: T a -> T a -> T a #
RealFrac a => RealFrac (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods properFraction :: Integral b => T a -> (b, T a) # truncate :: Integral b => T a -> b # round :: Integral b => T a -> b # ceiling :: Integral b => T a -> b # floor :: Integral b => T a -> b #
Show a => Show (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods showsPrec :: Int -> T a -> ShowS # show :: T a -> String # showList :: [T a] -> ShowS #
Ix a => Ix (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods range :: (T a, T a) -> [T a] # index :: (T a, T a) -> T a -> Int # unsafeIndex :: (T a, T a) -> T a -> Int inRange :: (T a, T a) -> T a -> Bool # rangeSize :: (T a, T a) -> Int # unsafeRangeSize :: (T a, T a) -> Int
Num a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods zero :: T a Source # (+) :: T a -> T a -> T a Source # (-) :: T a -> T a -> T a Source # negate :: T a -> T a Source #
(Eq a, Num a) => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods isZero :: T a -> Bool Source #
Num a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods (*) :: T a -> T a -> T a Source # one :: T a Source # fromInteger :: Integer -> T a Source # (^) :: T a -> Integer -> T a Source #
Integral a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods div :: T a -> T a -> T a Source # mod :: T a -> T a -> T a Source # divMod :: T a -> T a -> (T a, T a) Source #
Integral a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods isUnit :: T a -> Bool Source # stdAssociate :: T a -> T a Source # stdUnit :: T a -> T a Source # stdUnitInv :: T a -> T a Source #
Integral a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods extendedGCD :: T a -> T a -> (T a, (T a, T a)) Source # gcd :: T a -> T a -> T a Source # lcm :: T a -> T a -> T a Source #
Num a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods abs :: T a -> T a Source # signum :: T a -> T a Source #
Fractional a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods (/) :: T a -> T a -> T a Source # recip :: T a -> T a Source # fromRational' :: Rational -> T a Source # (^-) :: T a -> Integer -> T a Source #
Real a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods toRational :: T a -> Rational Source #
Integral a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods quot :: T a -> T a -> T a Source # rem :: T a -> T a -> T a Source # quotRem :: T a -> T a -> (T a, T a) Source #
Integral a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods toInteger :: T a -> Integer Source #
Floating a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods sqrt :: T a -> T a Source # root :: Integer -> T a -> T a Source # (^/) :: T a -> Rational -> T a Source #
Floating a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods pi :: T a Source # exp :: T a -> T a Source # log :: T a -> T a Source # logBase :: T a -> T a -> T a Source # (**) :: T a -> T a -> T a Source # sin :: T a -> T a Source # cos :: T a -> T a Source # tan :: T a -> T a Source # asin :: T a -> T a Source # acos :: T a -> T a Source # atan :: T a -> T a Source # sinh :: T a -> T a Source # cosh :: T a -> T a Source # tanh :: T a -> T a Source # asinh :: T a -> T a Source # acosh :: T a -> T a Source # atanh :: T a -> T a Source #
RealFrac a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods splitFraction :: C b => T a -> (b, T a) Source # fraction :: T a -> T a Source # ceiling :: C b => T a -> b Source # floor :: C b => T a -> b Source # truncate :: C b => T a -> b Source # round :: C b => T a -> b Source #
RealFrac a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98
RealFloat a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods atan2 :: T a -> T a -> T a Source #
RealFloat a => C (T a) Source #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods radix :: T a -> Integer Source # digits :: T a -> Int Source # range :: T a -> (Int, Int) Source # decode :: T a -> (Integer, Int) Source # encode :: Integer -> Int -> T a Source # exponent :: T a -> Int Source # significand :: T a -> T a Source # scale :: Int -> T a -> T a Source # isNaN :: T a -> Bool Source # isInfinite :: T a -> Bool Source # isDenormalized :: T a -> Bool Source # isNegativeZero :: T a -> Bool Source # isIEEE :: T a -> Bool Source #

lift1 :: (a -> b) -> T a -> T b Source #

lift2 :: (a -> b -> c) -> T a -> T b -> T c Source #

unliftF1 :: Functor f => (f (T a) -> f (T b)) -> f a -> f b Source #

unliftF2 :: Functor f => (f (T a) -> f (T b) -> f (T c)) -> f a -> f b -> f c Source #

unimplemented :: String -> a Source #