Safe Haskell	Safe
Language	Haskell2010

DDF.Diff

Contents

Orphan instances

Documentation

Orphan instances

Ord Double Source #
Methods diffOrd :: Proxy * (v, Double) -> Dict (Ord (DiffType v Double)) Source #
Ord Float Source #
Methods diffOrd :: Proxy * (v, Float) -> Dict (Ord (DiffType v Float)) Source #
Ord () Source #
Methods diffOrd :: Proxy * (v, ()) -> Dict (Ord (DiffType v ())) Source #
Ord a => Ord [a] Source #
Methods diffOrd :: Proxy * (v, [a]) -> Dict (Ord (DiffType v [a])) Source #
DBI r => DBI (Diff r v) Source #
Methods z :: Diff r v (a, h) a Source # s :: Diff r v h b -> Diff r v (a, h) b Source # abs :: Diff r v (a, h) b -> Diff r v h (a -> b) Source # app :: Diff r v h (a -> b) -> Diff r v h a -> Diff r v h b Source # hoas :: (Diff r v (a, h) a -> Diff r v (a, h) b) -> Diff r v h (a -> b) Source # com :: Diff r v h ((b -> c) -> (a -> b) -> a -> c) Source # flip :: Diff r v h ((a -> b -> c) -> b -> a -> c) Source # id :: Diff r v h (a -> a) Source # const :: Diff r v h (a -> b -> a) Source # scomb :: Diff r v h ((a -> b -> c) -> (a -> b) -> a -> c) Source # dup :: Diff r v h ((a -> a -> b) -> a -> b) Source # let_ :: Diff r v h (a -> (a -> b) -> b) Source #
DiffWrapper r => Fix (Diff r v) Source #
Methods fix :: Diff r v h (f (Fix f) -> Fix f) Source # runFix :: Diff r v h (Fix f -> f (Fix f)) Source #
(Vector r v, Lang r) => Float (Diff r v) Source #
Methods float :: Float -> Diff r v h Float Source # floatZero :: Diff r v h Float Source # floatOne :: Diff r v h Float Source # floatPlus :: Diff r v h (Float -> Float -> Float) Source # floatMinus :: Diff r v h (Float -> Float -> Float) Source # floatMult :: Diff r v h (Float -> Float -> Float) Source # floatDivide :: Diff r v h (Float -> Float -> Float) Source # floatExp :: Diff r v h (Float -> Float) Source #
FreeVector r => FreeVector (Diff r v) Source #
Methods freeVector :: Diff r v h ((b -> d) -> FreeVector b d) Source # runFreeVector :: Diff r v h (FreeVector b d -> b -> d) Source #
Option r => Option (Diff r v) Source #
Methods nothing :: Diff r v h (Maybe a) Source # just :: Diff r v h (a -> Maybe a) Source # optionMatch :: Diff r v h (b -> (a -> b) -> Maybe a -> b) Source #
Prod r => Prod (Diff r v) Source #
Methods mkProd :: Diff r v h (a -> b -> (a, b)) Source # zro :: Diff r v h ((a, b) -> a) Source # fst :: Diff r v h ((a, b) -> b) Source # swap :: Diff r v h ((x, y) -> (y, x)) Source # curry :: Diff r v h (((a, b) -> c) -> a -> b -> c) Source # uncurry :: Diff r v h ((a -> b -> c) -> (a, b) -> c) Source #
Dual r => Dual (Diff r v) Source #
Methods dual :: Diff r v h ((x, y) -> Dual x y) Source # runDual :: Diff r v h (Dual x y -> (x, y)) Source # mkDual :: Diff r v h (x -> y -> Dual x y) Source # dualOrig :: Diff r v h (Dual x y -> x) Source # dualDiff :: Diff r v h (Dual x y -> y) Source #
Sum r => Sum (Diff r v) Source #
Methods left :: Diff r v h (a -> Either a b) Source # right :: Diff r v h (b -> Either a b) Source # sumMatch :: Diff r v h ((a -> c) -> (b -> c) -> Either a b -> c) Source #
Unit r => Unit (Diff r v) Source #
Methods unit :: Diff r v h () Source #
Y r => Y (Diff r v) Source #
Methods y :: Diff r v h ((a -> a) -> a) Source # undefined :: Diff r v h a Source #
List r => List (Diff r v) Source #
Methods nil :: Diff r v h [a] Source # cons :: Diff r v h (a -> [a] -> [a]) Source # listMatch :: Diff r v h (b -> (a -> [a] -> b) -> [a] -> b) Source # listAppend :: Diff r v h ([a] -> [a] -> [a]) Source #
Char r => Char (Diff r v) Source #
Methods char :: Char -> Diff r v h Char Source #
IO r => IO (Diff r v) Source #
Methods putStrLn :: Diff r v h (String -> IO ()) Source #
Bool r => Bool (Diff r v) Source #
Methods bool :: Bool -> Diff r v h Bool Source # ite :: Diff r v h (a -> a -> Bool -> a) Source #
(Vector r v, Lang r) => Double (Diff r v) Source #
Methods double :: Double -> Diff r v h Double Source # doubleZero :: Diff r v h Double Source # doubleOne :: Diff r v h Double Source # doublePlus :: Diff r v h (Double -> Double -> Double) Source # doubleMinus :: Diff r v h (Double -> Double -> Double) Source # doubleMult :: Diff r v h (Double -> Double -> Double) Source # doubleDivide :: Diff r v h (Double -> Double -> Double) Source # doubleExp :: Diff r v h (Double -> Double) Source # doubleEq :: Diff r v h (Double -> Double -> Bool) Source #
Map r => Map (Diff r v) Source #
Methods empty :: Diff r v h (Map k a) Source # singleton :: Diff r v h (k -> a -> Map k a) Source # lookup :: Ord k => Diff r v h (Map k a -> k -> Maybe a) Source # alter :: Ord k => Diff r v h ((Maybe a -> Maybe a) -> k -> Map k a -> Map k a) Source # mapMap :: Diff r v h ((a -> b) -> Map k a -> Map k b) Source # unionWith :: Ord k => Diff r v h ((a -> a -> a) -> Map k a -> Map k a -> Map k a) Source # insert :: Ord k => Diff r v h (k -> a -> Map k a -> Map k a) Source #
Ord l => Ord (Dual l r) Source #
Methods diffOrd :: Proxy * (v, Dual l r) -> Dict (Ord (DiffType v (Dual l r))) Source #
DiffWrapper r => DiffWrapper (Diff r v) Source #
Methods diffWrapper :: Diff r v h (FDiffType a x -> DiffWrapper a x) Source # runDiffWrapper :: Diff r v h (DiffWrapper a x -> FDiffType a x) Source #
(Vector r v, Lang r) => VectorTF (Diff r v) Source #
Methods zero :: Diff r v h (VectorTF t f) Source # basis :: Diff r v h (t -> VectorTF t f) Source # plus :: Diff r v h (f -> f -> VectorTF t f) Source # mult :: Diff r v h (Double -> f -> VectorTF t f) Source # vtfMatch :: Diff r v h (a -> (t -> a) -> (f -> f -> a) -> (Double -> f -> a) -> VectorTF t f -> a) Source #
Int r => Int (Diff r v) Source #
Methods int :: Int -> Diff r v h Int Source # pred :: Diff r v h (Int -> Int) Source # isZero :: Diff r v h (Int -> Bool) Source #
Bimap r => Bimap (Diff r v) Source #
Methods size :: Diff r v h (Bimap a b -> Int) Source # lookupL :: (Ord a, Ord b) => Diff r v h (Bimap a b -> a -> Maybe b) Source # lookupR :: (Ord a, Ord b) => Diff r v h (Bimap a b -> b -> Maybe a) Source # empty :: Diff r v h (Bimap a b) Source # singleton :: Diff r v h ((a, b) -> Bimap a b) Source # toMapL :: Diff r v h (Bimap a b -> Map a b) Source # toMapR :: Diff r v h (Bimap a b -> Map b a) Source # insert :: (Ord a, Ord b) => Diff r v h ((a, b) -> Bimap a b -> Bimap a b) Source # updateL :: (Ord a, Ord b) => Diff r v h ((b -> Maybe b) -> a -> Bimap a b -> Bimap a b) Source # updateR :: (Ord a, Ord b) => Diff r v h ((a -> Maybe a) -> b -> Bimap a b -> Bimap a b) Source #
(Vector r v, Lang r) => Lang (Diff r v) Source #
Methods exfalso :: Diff r v h (Void -> a) Source # writer :: Diff r v h ((a, w) -> Writer w a) Source # runWriter :: Diff r v h (Writer w a -> (a, w)) Source # float2Double :: Diff r v h (Float -> Double) Source # double2Float :: Diff r v h (Double -> Float) Source # state :: Diff r v h ((x -> (y, x)) -> State x y) Source # runState :: Diff r v h (State x y -> x -> (y, x)) Source # iterate :: Diff r v h ((x -> x) -> x -> [x]) Source # buildFreeVector :: Ord b => Diff r v h (FreeVectorBuilder b -> FreeVector b Double) Source # toSVTFBuilder :: Ord b => Diff r v h (VectorTF b Int -> SVTFBuilder b) Source # get :: Diff r v h (Maybe a -> a) Source # getVar :: Diff r v h (State x x) Source # update :: Diff r v h ((x -> x) -> State x ()) Source # updateWengert :: Diff r v h (Int -> Double -> Map Int Double -> Map Int Double) Source # vtfCata :: Diff r v h ((VectorTF a b -> b) -> Fix (VectorTF a) -> b) Source #
Monad r IO => Monad (Diff r v) IO Source #
Methods bind :: Diff r v h (IO a -> (a -> IO b) -> IO b) Source # join :: Diff r v h (IO (IO a) -> IO a) Source #
Applicative r IO => Applicative (Diff r v) IO Source #
Methods pure :: Diff r v h (x -> IO x) Source # ap :: Diff r v h (IO (x -> y) -> IO x -> IO y) Source #
Functor r IO => Functor (Diff r v) IO Source #
Methods map :: Diff r v h ((a -> b) -> IO a -> IO b) Source #