Copyright	(c) Edward Kmett 2015
License	BSD3
Maintainer	ekmett@gmail.com
Stability	experimental
Portability	GHC only
Safe Haskell	None
Language	Haskell2010

Numeric.AD.Internal.Or

Description

Synopsis

data Or s a b where
- L :: a -> Or F a b
- R :: b -> Or T a b
data F
data T
runL :: Or F a b -> a
runR :: Or T a b -> b
class Chosen s where
- choose :: a -> b -> Or s a b
chosen :: (a -> r) -> (b -> r) -> Or s a b -> r
unary :: (a -> a) -> (b -> b) -> Or s a b -> Or s a b
binary :: (a -> a -> a) -> (b -> b -> b) -> Or s a b -> Or s a b -> Or s a b

Documentation

data Or s a b where Source #

The choice between two AD modes is an AD mode in its own right

Constructors

L :: a -> Or F a b
R :: b -> Or T a b

Instances

(Bounded a, Bounded b, Chosen s) => Bounded (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Methods minBound :: Or s a b # maxBound :: Or s a b #
(Enum a, Enum b, Chosen s) => Enum (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Methods succ :: Or s a b -> Or s a b # pred :: Or s a b -> Or s a b # toEnum :: Int -> Or s a b # fromEnum :: Or s a b -> Int # enumFrom :: Or s a b -> [Or s a b] # enumFromThen :: Or s a b -> Or s a b -> [Or s a b] # enumFromTo :: Or s a b -> Or s a b -> [Or s a b] # enumFromThenTo :: Or s a b -> Or s a b -> Or s a b -> [Or s a b] #
(Eq a, Eq b) => Eq (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Methods (==) :: Or s a b -> Or s a b -> Bool # (/=) :: Or s a b -> Or s a b -> Bool #
(Floating a, Floating b, Chosen s) => Floating (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Methods pi :: Or s a b # exp :: Or s a b -> Or s a b # log :: Or s a b -> Or s a b # sqrt :: Or s a b -> Or s a b # (**) :: Or s a b -> Or s a b -> Or s a b # logBase :: Or s a b -> Or s a b -> Or s a b # sin :: Or s a b -> Or s a b # cos :: Or s a b -> Or s a b # tan :: Or s a b -> Or s a b # asin :: Or s a b -> Or s a b # acos :: Or s a b -> Or s a b # atan :: Or s a b -> Or s a b # sinh :: Or s a b -> Or s a b # cosh :: Or s a b -> Or s a b # tanh :: Or s a b -> Or s a b # asinh :: Or s a b -> Or s a b # acosh :: Or s a b -> Or s a b # atanh :: Or s a b -> Or s a b # log1p :: Or s a b -> Or s a b # expm1 :: Or s a b -> Or s a b # log1pexp :: Or s a b -> Or s a b # log1mexp :: Or s a b -> Or s a b #
(Fractional a, Fractional b, Chosen s) => Fractional (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Methods (/) :: Or s a b -> Or s a b -> Or s a b # recip :: Or s a b -> Or s a b # fromRational :: Rational -> Or s a b #
(Num a, Num b, Chosen s) => Num (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Methods (+) :: Or s a b -> Or s a b -> Or s a b # (-) :: Or s a b -> Or s a b -> Or s a b # (*) :: Or s a b -> Or s a b -> Or s a b # negate :: Or s a b -> Or s a b # abs :: Or s a b -> Or s a b # signum :: Or s a b -> Or s a b # fromInteger :: Integer -> Or s a b #
(Ord a, Ord b) => Ord (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Methods compare :: Or s a b -> Or s a b -> Ordering # (<) :: Or s a b -> Or s a b -> Bool # (<=) :: Or s a b -> Or s a b -> Bool # (>) :: Or s a b -> Or s a b -> Bool # (>=) :: Or s a b -> Or s a b -> Bool # max :: Or s a b -> Or s a b -> Or s a b # min :: Or s a b -> Or s a b -> Or s a b #
(Real a, Real b, Chosen s) => Real (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Methods toRational :: Or s a b -> Rational #
(RealFloat a, RealFloat b, Chosen s) => RealFloat (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Methods floatRadix :: Or s a b -> Integer # floatDigits :: Or s a b -> Int # floatRange :: Or s a b -> (Int, Int) # decodeFloat :: Or s a b -> (Integer, Int) # encodeFloat :: Integer -> Int -> Or s a b # exponent :: Or s a b -> Int # significand :: Or s a b -> Or s a b # scaleFloat :: Int -> Or s a b -> Or s a b # isNaN :: Or s a b -> Bool # isInfinite :: Or s a b -> Bool # isDenormalized :: Or s a b -> Bool # isNegativeZero :: Or s a b -> Bool # isIEEE :: Or s a b -> Bool # atan2 :: Or s a b -> Or s a b -> Or s a b #
(RealFrac a, RealFrac b, Chosen s) => RealFrac (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Methods properFraction :: Integral b0 => Or s a b -> (b0, Or s a b) # truncate :: Integral b0 => Or s a b -> b0 # round :: Integral b0 => Or s a b -> b0 # ceiling :: Integral b0 => Or s a b -> b0 # floor :: Integral b0 => Or s a b -> b0 #
(Erf a, Erf b, Chosen s) => Erf (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Methods erf :: Or s a b -> Or s a b # erfc :: Or s a b -> Or s a b # erfcx :: Or s a b -> Or s a b # normcdf :: Or s a b -> Or s a b #
(InvErf a, InvErf b, Chosen s) => InvErf (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Methods inverf :: Or s a b -> Or s a b # inverfc :: Or s a b -> Or s a b # invnormcdf :: Or s a b -> Or s a b #
(Mode a, Mode b, Chosen s, Scalar a ~ Scalar b) => Mode (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or Associated Types type Scalar (Or s a b) :: Type Source # Methods isKnownConstant :: Or s a b -> Bool Source # isKnownZero :: Or s a b -> Bool Source # auto :: Scalar (Or s a b) -> Or s a b Source # (^) :: Scalar (Or s a b) -> Or s a b -> Or s a b Source # (^) :: Or s a b -> Scalar (Or s a b) -> Or s a b Source # (^/) :: Or s a b -> Scalar (Or s a b) -> Or s a b Source # zero :: Or s a b Source #
type Scalar (Or s a b) Source #
Instance details Defined in Numeric.AD.Internal.Or type Scalar (Or s a b) = Scalar a

data F Source #

Instances

Chosen F Source #
Instance details Defined in Numeric.AD.Internal.Or Methods choose :: a -> b -> Or F a b Source #

data T Source #

Instances

Chosen T Source #
Instance details Defined in Numeric.AD.Internal.Or Methods choose :: a -> b -> Or T a b Source #

runL :: Or F a b -> a Source #

runR :: Or T a b -> b Source #

class Chosen s where Source #

Methods

choose :: a -> b -> Or s a b Source #

Instances

Chosen T Source #
Instance details Defined in Numeric.AD.Internal.Or Methods choose :: a -> b -> Or T a b Source #
Chosen F Source #
Instance details Defined in Numeric.AD.Internal.Or Methods choose :: a -> b -> Or F a b Source #

chosen :: (a -> r) -> (b -> r) -> Or s a b -> r Source #

unary :: (a -> a) -> (b -> b) -> Or s a b -> Or s a b Source #

binary :: (a -> a -> a) -> (b -> b -> b) -> Or s a b -> Or s a b -> Or s a b Source #