Numeric.AD.Internal.Forward.Double

Documentation

data ForwardDouble

Constructors

ForwardDouble

Fields

• primal, tangent :: !Double

Instances

Enum ForwardDouble

Defined in Numeric.AD.Internal.Forward.Double

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

Defined in Numeric.AD.Internal.Forward.Double

Methods

(==) :: ForwardDouble -> ForwardDouble -> Bool

(/=) :: ForwardDouble -> ForwardDouble -> Bool

Floating ForwardDouble

Defined in Numeric.AD.Internal.Forward.Double

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

Defined in Numeric.AD.Internal.Forward.Double

Methods

(/) :: ForwardDouble -> ForwardDouble -> ForwardDouble

recip :: ForwardDouble -> ForwardDouble

fromRational :: Rational -> ForwardDouble

Num ForwardDouble

Defined in Numeric.AD.Internal.Forward.Double

Methods

(+) :: ForwardDouble -> ForwardDouble -> ForwardDouble

(-) :: ForwardDouble -> ForwardDouble -> ForwardDouble

(*) :: ForwardDouble -> ForwardDouble -> ForwardDouble

negate :: ForwardDouble -> ForwardDouble

abs :: ForwardDouble -> ForwardDouble

signum :: ForwardDouble -> ForwardDouble

fromInteger :: Integer -> ForwardDouble

Ord ForwardDouble

Defined in Numeric.AD.Internal.Forward.Double

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

Defined in Numeric.AD.Internal.Forward.Double

Methods

readsPrec :: Int -> ReadS ForwardDouble

readList :: ReadS [ForwardDouble]

readPrec :: ReadPrec ForwardDouble

readListPrec :: ReadPrec [ForwardDouble]

Real ForwardDouble

Defined in Numeric.AD.Internal.Forward.Double

Methods

toRational :: ForwardDouble -> Rational

RealFloat ForwardDouble

Defined in Numeric.AD.Internal.Forward.Double

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

Defined in Numeric.AD.Internal.Forward.Double

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

Defined in Numeric.AD.Internal.Forward.Double

Methods

showsPrec :: Int -> ForwardDouble -> ShowS

show :: ForwardDouble -> String

showList :: [ForwardDouble] -> ShowS

Erf ForwardDouble

Defined in Numeric.AD.Internal.Forward.Double

Methods

erf :: ForwardDouble -> ForwardDouble

erfc :: ForwardDouble -> ForwardDouble

erfcx :: ForwardDouble -> ForwardDouble

normcdf :: ForwardDouble -> ForwardDouble

InvErf ForwardDouble

Defined in Numeric.AD.Internal.Forward.Double

Methods

inverf :: ForwardDouble -> ForwardDouble

inverfc :: ForwardDouble -> ForwardDouble

invnormcdf :: ForwardDouble -> ForwardDouble

Mode ForwardDouble

Defined in Numeric.AD.Internal.Forward.Double

Associated Types

type Scalar ForwardDouble

Methods

isKnownConstant :: ForwardDouble -> Bool

asKnownConstant :: ForwardDouble -> Maybe (Scalar ForwardDouble)

isKnownZero :: ForwardDouble -> Bool

auto :: Scalar ForwardDouble -> ForwardDouble

(*^) :: Scalar ForwardDouble -> ForwardDouble -> ForwardDouble

(^*) :: ForwardDouble -> Scalar ForwardDouble -> ForwardDouble

(^/) :: ForwardDouble -> Scalar ForwardDouble -> ForwardDouble

zero :: ForwardDouble

Jacobian ForwardDouble

Defined in Numeric.AD.Internal.Forward.Double

Associated Types

type D ForwardDouble

Methods

unary :: (Scalar ForwardDouble -> Scalar ForwardDouble) -> D ForwardDouble -> ForwardDouble -> ForwardDouble

lift1 :: (Scalar ForwardDouble -> Scalar ForwardDouble) -> (D ForwardDouble -> D ForwardDouble) -> ForwardDouble -> ForwardDouble

lift1_ :: (Scalar ForwardDouble -> Scalar ForwardDouble) -> (D ForwardDouble -> D ForwardDouble -> D ForwardDouble) -> ForwardDouble -> ForwardDouble

binary :: (Scalar ForwardDouble -> Scalar ForwardDouble -> Scalar ForwardDouble) -> D ForwardDouble -> D ForwardDouble -> ForwardDouble -> ForwardDouble -> ForwardDouble

lift2 :: (Scalar ForwardDouble -> Scalar ForwardDouble -> Scalar ForwardDouble) -> (D ForwardDouble -> D ForwardDouble -> (D ForwardDouble, D ForwardDouble)) -> ForwardDouble -> ForwardDouble -> ForwardDouble

lift2_ :: (Scalar ForwardDouble -> Scalar ForwardDouble -> Scalar ForwardDouble) -> (D ForwardDouble -> D ForwardDouble -> D ForwardDouble -> (D ForwardDouble, D ForwardDouble)) -> ForwardDouble -> ForwardDouble -> ForwardDouble

type Scalar ForwardDouble

Defined in Numeric.AD.Internal.Forward.Double

type Scalar ForwardDouble = Double

type D ForwardDouble

Defined in Numeric.AD.Internal.Forward.Double

type D ForwardDouble = Id Double

bundle :: Double -> Double -> ForwardDouble

unbundle :: ForwardDouble -> (Double, Double)

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

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

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

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

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

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