DDF.Diff

Documentation

Orphan instances

Ord Double

Methods

diffOrd :: Proxy * (v, Double) -> Dict (Ord (DiffType v Double))

Ord Float

Methods

diffOrd :: Proxy * (v, Float) -> Dict (Ord (DiffType v Float))

Ord ()

Methods

diffOrd :: Proxy * (v, ()) -> Dict (Ord (DiffType v ()))

Ord a => Ord [a]

Methods

diffOrd :: Proxy * (v, [a]) -> Dict (Ord (DiffType v [a]))

DBI r => DBI (Diff r v)

Methods

z :: Diff r v (a, h) a

s :: Diff r v h b -> Diff r v (a, h) b

abs :: Diff r v (a, h) b -> Diff r v h (a -> b)

app :: Diff r v h (a -> b) -> Diff r v h a -> Diff r v h b

hoas :: (Diff r v (a, h) a -> Diff r v (a, h) b) -> Diff r v h (a -> b)

com :: Diff r v h ((b -> c) -> (a -> b) -> a -> c)

flip :: Diff r v h ((a -> b -> c) -> b -> a -> c)

id :: Diff r v h (a -> a)

const :: Diff r v h (a -> b -> a)

scomb :: Diff r v h ((a -> b -> c) -> (a -> b) -> a -> c)

dup :: Diff r v h ((a -> a -> b) -> a -> b)

let_ :: Diff r v h (a -> (a -> b) -> b)

DiffWrapper r => Fix (Diff r v)

Methods

fix :: Diff r v h (f (Fix f) -> Fix f)

runFix :: Diff r v h (Fix f -> f (Fix f))

(Vector r v, Lang r) => Float (Diff r v)

Methods

float :: Float -> Diff r v h Float

floatZero :: Diff r v h Float

floatOne :: Diff r v h Float

floatPlus :: Diff r v h (Float -> Float -> Float)

floatMinus :: Diff r v h (Float -> Float -> Float)

floatMult :: Diff r v h (Float -> Float -> Float)

floatDivide :: Diff r v h (Float -> Float -> Float)

floatExp :: Diff r v h (Float -> Float)

FreeVector r => FreeVector (Diff r v)

Methods

freeVector :: Diff r v h ((b -> d) -> FreeVector b d)

runFreeVector :: Diff r v h (FreeVector b d -> b -> d)

Option r => Option (Diff r v)

Methods

nothing :: Diff r v h (Maybe a)

just :: Diff r v h (a -> Maybe a)

optionMatch :: Diff r v h (b -> (a -> b) -> Maybe a -> b)

Prod r => Prod (Diff r v)

Methods

mkProd :: Diff r v h (a -> b -> (a, b))

zro :: Diff r v h ((a, b) -> a)

fst :: Diff r v h ((a, b) -> b)

swap :: Diff r v h ((x, y) -> (y, x))

curry :: Diff r v h (((a, b) -> c) -> a -> b -> c)

uncurry :: Diff r v h ((a -> b -> c) -> (a, b) -> c)

Dual r => Dual (Diff r v)

Methods

dual :: Diff r v h ((x, y) -> Dual x y)

runDual :: Diff r v h (Dual x y -> (x, y))

mkDual :: Diff r v h (x -> y -> Dual x y)

dualOrig :: Diff r v h (Dual x y -> x)

dualDiff :: Diff r v h (Dual x y -> y)

Sum r => Sum (Diff r v)

Methods

left :: Diff r v h (a -> Either a b)

right :: Diff r v h (b -> Either a b)

sumMatch :: Diff r v h ((a -> c) -> (b -> c) -> Either a b -> c)

Unit r => Unit (Diff r v)

Methods

unit :: Diff r v h ()

Y r => Y (Diff r v)

Methods

y :: Diff r v h ((a -> a) -> a)

undefined :: Diff r v h a

List r => List (Diff r v)

Methods

nil :: Diff r v h [a]

cons :: Diff r v h (a -> [a] -> [a])

listMatch :: Diff r v h (b -> (a -> [a] -> b) -> [a] -> b)

listAppend :: Diff r v h ([a] -> [a] -> [a])

Char r => Char (Diff r v)

Methods

char :: Char -> Diff r v h Char

IO r => IO (Diff r v)

Methods

putStrLn :: Diff r v h (String -> IO ())

Bool r => Bool (Diff r v)

Methods

bool :: Bool -> Diff r v h Bool

ite :: Diff r v h (a -> a -> Bool -> a)

(Vector r v, Lang r) => Double (Diff r v)

Methods

double :: Double -> Diff r v h Double

doubleZero :: Diff r v h Double

doubleOne :: Diff r v h Double

doublePlus :: Diff r v h (Double -> Double -> Double)

doubleMinus :: Diff r v h (Double -> Double -> Double)

doubleMult :: Diff r v h (Double -> Double -> Double)

doubleDivide :: Diff r v h (Double -> Double -> Double)

doubleExp :: Diff r v h (Double -> Double)

doubleEq :: Diff r v h (Double -> Double -> Bool)

Map r => Map (Diff r v)

Methods

empty :: Diff r v h (Map k a)

singleton :: Diff r v h (k -> a -> Map k a)

lookup :: Ord k => Diff r v h (Map k a -> k -> Maybe a)

alter :: Ord k => Diff r v h ((Maybe a -> Maybe a) -> k -> Map k a -> Map k a)

mapMap :: Diff r v h ((a -> b) -> Map k a -> Map k b)

unionWith :: Ord k => Diff r v h ((a -> a -> a) -> Map k a -> Map k a -> Map k a)

insert :: Ord k => Diff r v h (k -> a -> Map k a -> Map k a)

Ord l => Ord (Dual l r)

Methods

diffOrd :: Proxy * (v, Dual l r) -> Dict (Ord (DiffType v (Dual l r)))

DiffWrapper r => DiffWrapper (Diff r v)

Methods

diffWrapper :: Diff r v h (FDiffType a x -> DiffWrapper a x)

runDiffWrapper :: Diff r v h (DiffWrapper a x -> FDiffType a x)

(Vector r v, Lang r) => VectorTF (Diff r v)

Methods

zero :: Diff r v h (VectorTF t f)

basis :: Diff r v h (t -> VectorTF t f)

plus :: Diff r v h (f -> f -> VectorTF t f)

mult :: Diff r v h (Double -> f -> VectorTF t f)

vtfMatch :: Diff r v h (a -> (t -> a) -> (f -> f -> a) -> (Double -> f -> a) -> VectorTF t f -> a)

Int r => Int (Diff r v)

Methods

int :: Int -> Diff r v h Int

pred :: Diff r v h (Int -> Int)

isZero :: Diff r v h (Int -> Bool)

Bimap r => Bimap (Diff r v)

Methods

size :: Diff r v h (Bimap a b -> Int)

lookupL :: (Ord a, Ord b) => Diff r v h (Bimap a b -> a -> Maybe b)

lookupR :: (Ord a, Ord b) => Diff r v h (Bimap a b -> b -> Maybe a)

empty :: Diff r v h (Bimap a b)

singleton :: Diff r v h ((a, b) -> Bimap a b)

toMapL :: Diff r v h (Bimap a b -> Map a b)

toMapR :: Diff r v h (Bimap a b -> Map b a)

insert :: (Ord a, Ord b) => Diff r v h ((a, b) -> Bimap a b -> Bimap a b)

updateL :: (Ord a, Ord b) => Diff r v h ((b -> Maybe b) -> a -> Bimap a b -> Bimap a b)

updateR :: (Ord a, Ord b) => Diff r v h ((a -> Maybe a) -> b -> Bimap a b -> Bimap a b)

(Vector r v, Lang r) => Lang (Diff r v)

Methods

exfalso :: Diff r v h (Void -> a)

writer :: Diff r v h ((a, w) -> Writer w a)

runWriter :: Diff r v h (Writer w a -> (a, w))

float2Double :: Diff r v h (Float -> Double)

double2Float :: Diff r v h (Double -> Float)

state :: Diff r v h ((x -> (y, x)) -> State x y)

runState :: Diff r v h (State x y -> x -> (y, x))

iterate :: Diff r v h ((x -> x) -> x -> [x])

buildFreeVector :: Ord b => Diff r v h (FreeVectorBuilder b -> FreeVector b Double)

toSVTFBuilder :: Ord b => Diff r v h (VectorTF b Int -> SVTFBuilder b)

get :: Diff r v h (Maybe a -> a)

getVar :: Diff r v h (State x x)

update :: Diff r v h ((x -> x) -> State x ())

updateWengert :: Diff r v h (Int -> Double -> Map Int Double -> Map Int Double)

vtfCata :: Diff r v h ((VectorTF a b -> b) -> Fix (VectorTF a) -> b)

Monad r IO => Monad (Diff r v) IO

Methods

bind :: Diff r v h (IO a -> (a -> IO b) -> IO b)

join :: Diff r v h (IO (IO a) -> IO a)

Applicative r IO => Applicative (Diff r v) IO

Methods

pure :: Diff r v h (x -> IO x)

ap :: Diff r v h (IO (x -> y) -> IO x -> IO y)

Functor r IO => Functor (Diff r v) IO

Methods

map :: Diff r v h ((a -> b) -> IO a -> IO b)