Safe Haskell	None
Language	Haskell2010

Numeric.AD.Internal.Forward.Double

Documentation

data ForwardDouble Source #

Constructors

ForwardDouble
Fields primal, tangent :: !Double

Instances

Enum ForwardDouble Source #
Methods succ :: ForwardDouble -> ForwardDouble # pred :: ForwardDouble -> ForwardDouble # toEnum :: Int -> ForwardDouble # fromEnum :: ForwardDouble -> Int # enumFrom :: ForwardDouble -> [ForwardDouble] # enumFromThen :: ForwardDouble -> ForwardDouble -> [ForwardDouble] # enumFromTo :: ForwardDouble -> ForwardDouble -> [ForwardDouble] # enumFromThenTo :: ForwardDouble -> ForwardDouble -> ForwardDouble -> [ForwardDouble] #
Eq ForwardDouble Source #
Methods (==) :: ForwardDouble -> ForwardDouble -> Bool # (/=) :: ForwardDouble -> ForwardDouble -> Bool #
Floating ForwardDouble Source #
Methods pi :: ForwardDouble # exp :: ForwardDouble -> ForwardDouble # log :: ForwardDouble -> ForwardDouble # sqrt :: ForwardDouble -> ForwardDouble # (**) :: ForwardDouble -> ForwardDouble -> ForwardDouble # logBase :: ForwardDouble -> ForwardDouble -> ForwardDouble # sin :: ForwardDouble -> ForwardDouble # cos :: ForwardDouble -> ForwardDouble # tan :: ForwardDouble -> ForwardDouble # asin :: ForwardDouble -> ForwardDouble # acos :: ForwardDouble -> ForwardDouble # atan :: ForwardDouble -> ForwardDouble # sinh :: ForwardDouble -> ForwardDouble # cosh :: ForwardDouble -> ForwardDouble # tanh :: ForwardDouble -> ForwardDouble # asinh :: ForwardDouble -> ForwardDouble # acosh :: ForwardDouble -> ForwardDouble # atanh :: ForwardDouble -> ForwardDouble # log1p :: ForwardDouble -> ForwardDouble # expm1 :: ForwardDouble -> ForwardDouble # log1pexp :: ForwardDouble -> ForwardDouble # log1mexp :: ForwardDouble -> ForwardDouble #
Fractional ForwardDouble Source #
Methods (/) :: ForwardDouble -> ForwardDouble -> ForwardDouble # recip :: ForwardDouble -> ForwardDouble # fromRational :: Rational -> ForwardDouble #
Num ForwardDouble Source #
Methods (+) :: ForwardDouble -> ForwardDouble -> ForwardDouble # (-) :: ForwardDouble -> ForwardDouble -> ForwardDouble # (*) :: ForwardDouble -> ForwardDouble -> ForwardDouble # negate :: ForwardDouble -> ForwardDouble # abs :: ForwardDouble -> ForwardDouble # signum :: ForwardDouble -> ForwardDouble # fromInteger :: Integer -> ForwardDouble #
Ord ForwardDouble Source #
Methods compare :: ForwardDouble -> ForwardDouble -> Ordering # (<) :: ForwardDouble -> ForwardDouble -> Bool # (<=) :: ForwardDouble -> ForwardDouble -> Bool # (>) :: ForwardDouble -> ForwardDouble -> Bool # (>=) :: ForwardDouble -> ForwardDouble -> Bool # max :: ForwardDouble -> ForwardDouble -> ForwardDouble # min :: ForwardDouble -> ForwardDouble -> ForwardDouble #
Read ForwardDouble Source #
Methods readsPrec :: Int -> ReadS ForwardDouble # readList :: ReadS [ForwardDouble] # readPrec :: ReadPrec ForwardDouble # readListPrec :: ReadPrec [ForwardDouble] #
Real ForwardDouble Source #
Methods toRational :: ForwardDouble -> Rational #
RealFloat ForwardDouble Source #
Methods floatRadix :: ForwardDouble -> Integer # floatDigits :: ForwardDouble -> Int # floatRange :: ForwardDouble -> (Int, Int) # decodeFloat :: ForwardDouble -> (Integer, Int) # encodeFloat :: Integer -> Int -> ForwardDouble # exponent :: ForwardDouble -> Int # significand :: ForwardDouble -> ForwardDouble # scaleFloat :: Int -> ForwardDouble -> ForwardDouble # isNaN :: ForwardDouble -> Bool # isInfinite :: ForwardDouble -> Bool # isDenormalized :: ForwardDouble -> Bool # isNegativeZero :: ForwardDouble -> Bool # isIEEE :: ForwardDouble -> Bool # atan2 :: ForwardDouble -> ForwardDouble -> ForwardDouble #
RealFrac ForwardDouble Source #
Methods properFraction :: Integral b => ForwardDouble -> (b, ForwardDouble) # truncate :: Integral b => ForwardDouble -> b # round :: Integral b => ForwardDouble -> b # ceiling :: Integral b => ForwardDouble -> b # floor :: Integral b => ForwardDouble -> b #
Show ForwardDouble Source #
Methods showsPrec :: Int -> ForwardDouble -> ShowS # show :: ForwardDouble -> String # showList :: [ForwardDouble] -> ShowS #
Erf ForwardDouble Source #
Methods erf :: ForwardDouble -> ForwardDouble # erfc :: ForwardDouble -> ForwardDouble # erfcx :: ForwardDouble -> ForwardDouble # normcdf :: ForwardDouble -> ForwardDouble #
InvErf ForwardDouble Source #
Methods inverf :: ForwardDouble -> ForwardDouble # inverfc :: ForwardDouble -> ForwardDouble # invnormcdf :: ForwardDouble -> ForwardDouble #
Mode ForwardDouble Source #
Associated Types type Scalar ForwardDouble :: * Source # Methods isKnownConstant :: ForwardDouble -> Bool Source # isKnownZero :: ForwardDouble -> Bool Source # auto :: Scalar ForwardDouble -> ForwardDouble Source # (^) :: Scalar ForwardDouble -> ForwardDouble -> ForwardDouble Source # (^) :: ForwardDouble -> Scalar ForwardDouble -> ForwardDouble Source # (^/) :: ForwardDouble -> Scalar ForwardDouble -> ForwardDouble Source # zero :: ForwardDouble Source #
Jacobian ForwardDouble Source #
Associated Types type D ForwardDouble :: * Source # Methods unary :: (Scalar ForwardDouble -> Scalar ForwardDouble) -> D ForwardDouble -> ForwardDouble -> ForwardDouble Source # lift1 :: (Scalar ForwardDouble -> Scalar ForwardDouble) -> (D ForwardDouble -> D ForwardDouble) -> ForwardDouble -> ForwardDouble Source # lift1_ :: (Scalar ForwardDouble -> Scalar ForwardDouble) -> (D ForwardDouble -> D ForwardDouble -> D ForwardDouble) -> ForwardDouble -> ForwardDouble Source # binary :: (Scalar ForwardDouble -> Scalar ForwardDouble -> Scalar ForwardDouble) -> D ForwardDouble -> D ForwardDouble -> ForwardDouble -> ForwardDouble -> ForwardDouble Source # lift2 :: (Scalar ForwardDouble -> Scalar ForwardDouble -> Scalar ForwardDouble) -> (D ForwardDouble -> D ForwardDouble -> (D ForwardDouble, D ForwardDouble)) -> ForwardDouble -> ForwardDouble -> ForwardDouble Source # lift2_ :: (Scalar ForwardDouble -> Scalar ForwardDouble -> Scalar ForwardDouble) -> (D ForwardDouble -> D ForwardDouble -> D ForwardDouble -> (D ForwardDouble, D ForwardDouble)) -> ForwardDouble -> ForwardDouble -> ForwardDouble Source #
type Scalar ForwardDouble Source #
type Scalar ForwardDouble = Double
type D ForwardDouble Source #
type D ForwardDouble = Id Double

bundle :: Double -> Double -> ForwardDouble Source #

unbundle :: ForwardDouble -> (Double, Double) Source #

apply :: (ForwardDouble -> b) -> Double -> b Source #

bind :: Traversable f => (f ForwardDouble -> b) -> f Double -> f b Source #

bind' :: Traversable f => (f ForwardDouble -> b) -> f Double -> (b, f b) Source #

bindWith :: Traversable f => (Double -> b -> c) -> (f ForwardDouble -> b) -> f Double -> f c Source #

bindWith' :: Traversable f => (Double -> b -> c) -> (f ForwardDouble -> b) -> f Double -> (b, f c) Source #

transposeWith :: (Functor f, Foldable f, Traversable g) => (b -> f a -> c) -> f (g a) -> g b -> g c Source #