Copyright	(C) 2012-2015 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	experimental
Portability	non-portable
Safe Haskell	Trustworthy
Language	Haskell2010

Linear.V1

Description

1-D Vectors

Synopsis

newtype V1 a = V1 a
class R1 (t :: Type -> Type) where
- _x :: Lens' (t a) a
ex :: forall (t :: Type -> Type). R1 t => E t

Documentation

newtype V1 a Source #

A 1-dimensional vector

>>> pure 1 :: V1 Int
V1 1

>>> V1 2 + V1 3
V1 5

>>> V1 2 * V1 3
V1 6

>>> sum (V1 2)
2

Constructors

V1 a

Instances

Instances details

Representable V1 Source #

Instance details

Defined in Linear.V1

Associated Types

type Rep V1
Instance details Defined in Linear.V1 type Rep V1 = E V1

Methods

tabulate :: (Rep V1 -> a) -> V1 a Source #

index :: V1 a -> Rep V1 -> a Source #

MonadZip V1 Source #

Instance details

Defined in Linear.V1

Methods

mzip :: V1 a -> V1 b -> V1 (a, b) Source #

mzipWith :: (a -> b -> c) -> V1 a -> V1 b -> V1 c Source #

munzip :: V1 (a, b) -> (V1 a, V1 b) Source #

Foldable1 V1 Source #

Instance details

Defined in Linear.V1

Methods

fold1 :: Semigroup m => V1 m -> m Source #

foldMap1 :: Semigroup m => (a -> m) -> V1 a -> m Source #

foldMap1' :: Semigroup m => (a -> m) -> V1 a -> m Source #

toNonEmpty :: V1 a -> NonEmpty a Source #

maximum :: Ord a => V1 a -> a Source #

minimum :: Ord a => V1 a -> a Source #

head :: V1 a -> a Source #

last :: V1 a -> a Source #

foldrMap1 :: (a -> b) -> (a -> b -> b) -> V1 a -> b Source #

foldlMap1' :: (a -> b) -> (b -> a -> b) -> V1 a -> b Source #

foldlMap1 :: (a -> b) -> (b -> a -> b) -> V1 a -> b Source #

foldrMap1' :: (a -> b) -> (a -> b -> b) -> V1 a -> b Source #

Eq1 V1 Source #

Instance details

Defined in Linear.V1

Methods

liftEq :: (a -> b -> Bool) -> V1 a -> V1 b -> Bool Source #

Ord1 V1 Source #

Instance details

Defined in Linear.V1

Methods

liftCompare :: (a -> b -> Ordering) -> V1 a -> V1 b -> Ordering Source #

Read1 V1 Source #

Instance details

Defined in Linear.V1

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (V1 a) Source #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [V1 a] Source #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (V1 a) Source #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [V1 a] Source #

Show1 V1 Source #

Instance details

Defined in Linear.V1

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> V1 a -> ShowS Source #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [V1 a] -> ShowS Source #

Serial1 V1 Source #

Instance details

Defined in Linear.V1

Methods

serializeWith :: MonadPut m => (a -> m ()) -> V1 a -> m () Source #

deserializeWith :: MonadGet m => m a -> m (V1 a) Source #

Distributive V1 Source #

Instance details

Defined in Linear.V1

Methods

distribute :: Functor f => f (V1 a) -> V1 (f a) Source #

collect :: Functor f => (a -> V1 b) -> f a -> V1 (f b) Source #

distributeM :: Monad m => m (V1 a) -> V1 (m a) Source #

collectM :: Monad m => (a -> V1 b) -> m a -> V1 (m b) Source #

Applicative V1 Source #

Instance details

Defined in Linear.V1

Methods

pure :: a -> V1 a Source #

(<*>) :: V1 (a -> b) -> V1 a -> V1 b Source #

liftA2 :: (a -> b -> c) -> V1 a -> V1 b -> V1 c Source #

(*>) :: V1 a -> V1 b -> V1 b Source #

(<*) :: V1 a -> V1 b -> V1 a Source #

Functor V1 Source #

Instance details

Defined in Linear.V1

Methods

fmap :: (a -> b) -> V1 a -> V1 b Source #

(<$) :: a -> V1 b -> V1 a Source #

Monad V1 Source #

Instance details

Defined in Linear.V1

Methods

(>>=) :: V1 a -> (a -> V1 b) -> V1 b Source #

(>>) :: V1 a -> V1 b -> V1 b Source #

return :: a -> V1 a Source #

MonadFix V1 Source #

Instance details

Defined in Linear.V1

Methods

mfix :: (a -> V1 a) -> V1 a Source #

Foldable V1 Source #

Instance details

Defined in Linear.V1

Methods

fold :: Monoid m => V1 m -> m Source #

foldMap :: Monoid m => (a -> m) -> V1 a -> m Source #

foldMap' :: Monoid m => (a -> m) -> V1 a -> m Source #

foldr :: (a -> b -> b) -> b -> V1 a -> b Source #

foldr' :: (a -> b -> b) -> b -> V1 a -> b Source #

foldl :: (b -> a -> b) -> b -> V1 a -> b Source #

foldl' :: (b -> a -> b) -> b -> V1 a -> b Source #

foldr1 :: (a -> a -> a) -> V1 a -> a Source #

foldl1 :: (a -> a -> a) -> V1 a -> a Source #

toList :: V1 a -> [a] Source #

null :: V1 a -> Bool Source #

length :: V1 a -> Int Source #

elem :: Eq a => a -> V1 a -> Bool Source #

maximum :: Ord a => V1 a -> a Source #

minimum :: Ord a => V1 a -> a Source #

sum :: Num a => V1 a -> a Source #

product :: Num a => V1 a -> a Source #

Traversable V1 Source #

Instance details

Defined in Linear.V1

Methods

traverse :: Applicative f => (a -> f b) -> V1 a -> f (V1 b) Source #

sequenceA :: Applicative f => V1 (f a) -> f (V1 a) Source #

mapM :: Monad m => (a -> m b) -> V1 a -> m (V1 b) Source #

sequence :: Monad m => V1 (m a) -> m (V1 a) Source #

Hashable1 V1 Source #

Instance details

Defined in Linear.V1

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> V1 a -> Int Source #

Affine V1 Source #

Instance details

Defined in Linear.Affine

Associated Types

type Diff V1
Instance details Defined in Linear.Affine type Diff V1 = V1

Methods

(.-.) :: Num a => V1 a -> V1 a -> Diff V1 a Source #

(.+^) :: Num a => V1 a -> Diff V1 a -> V1 a Source #

(.-^) :: Num a => V1 a -> Diff V1 a -> V1 a Source #

Metric V1 Source #

Instance details

Defined in Linear.V1

Methods

dot :: Num a => V1 a -> V1 a -> a Source #

quadrance :: Num a => V1 a -> a Source #

qd :: Num a => V1 a -> V1 a -> a Source #

distance :: Floating a => V1 a -> V1 a -> a Source #

norm :: Floating a => V1 a -> a Source #

signorm :: Floating a => V1 a -> V1 a Source #

Trace V1 Source #

Instance details

Defined in Linear.Trace

Methods

trace :: Num a => V1 (V1 a) -> a Source #

diagonal :: V1 (V1 a) -> V1 a Source #

Finite V1 Source #

Instance details

Defined in Linear.V1

Associated Types

type Size V1
Instance details Defined in Linear.V1 type Size V1 = 1

Methods

toV :: V1 a -> V (Size V1) a Source #

fromV :: V (Size V1) a -> V1 a Source #

R1 V1 Source #

Instance details

Defined in Linear.V1

Methods

_x :: Lens' (V1 a) a Source #

Additive V1 Source #

Instance details

Defined in Linear.V1

Methods

zero :: Num a => V1 a Source #

(^+^) :: Num a => V1 a -> V1 a -> V1 a Source #

(^-^) :: Num a => V1 a -> V1 a -> V1 a Source #

lerp :: Num a => a -> V1 a -> V1 a -> V1 a Source #

liftU2 :: (a -> a -> a) -> V1 a -> V1 a -> V1 a Source #

liftI2 :: (a -> b -> c) -> V1 a -> V1 b -> V1 c Source #

Apply V1 Source #

Instance details

Defined in Linear.V1

Methods

(<.>) :: V1 (a -> b) -> V1 a -> V1 b Source #

(.>) :: V1 a -> V1 b -> V1 b Source #

(<.) :: V1 a -> V1 b -> V1 a Source #

liftF2 :: (a -> b -> c) -> V1 a -> V1 b -> V1 c Source #

Bind V1 Source #

Instance details

Defined in Linear.V1

Methods

(>>-) :: V1 a -> (a -> V1 b) -> V1 b Source #

join :: V1 (V1 a) -> V1 a Source #

Traversable1 V1 Source #

Instance details

Defined in Linear.V1

Methods

traverse1 :: Apply f => (a -> f b) -> V1 a -> f (V1 b) Source #

sequence1 :: Apply f => V1 (f b) -> f (V1 b) Source #

Generic1 V1 Source #

Instance details

Defined in Linear.V1

Associated Types

type Rep1 V1
Instance details Defined in Linear.V1 type Rep1 V1 = D1 ('MetaData "V1" "Linear.V1" "linear-1.23.2-5AqyVb8sK1m3MfzHCRCQd3" 'True) (C1 ('MetaCons "V1" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

Methods

from1 :: V1 a -> Rep1 V1 a Source #

to1 :: Rep1 V1 a -> V1 a Source #

Num r => Algebra r (E V1) Source #

Instance details

Defined in Linear.Algebra

Methods

mult :: (E V1 -> E V1 -> r) -> E V1 -> r Source #

unital :: r -> E V1 -> r Source #

Num r => Coalgebra r (E V1) Source #

Instance details

Defined in Linear.Algebra

Methods

comult :: (E V1 -> r) -> E V1 -> E V1 -> r Source #

counital :: (E V1 -> r) -> r Source #

Lift a => Lift (V1 a :: Type) Source #

Instance details

Defined in Linear.V1

Methods

lift :: Quote m => V1 a -> m Exp Source #

liftTyped :: forall (m :: Type -> Type). Quote m => V1 a -> Code m (V1 a) Source #

Unbox a => Vector Vector (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

basicUnsafeFreeze :: Mutable Vector s (V1 a) -> ST s (Vector (V1 a))

basicUnsafeThaw :: Vector (V1 a) -> ST s (Mutable Vector s (V1 a))

basicLength :: Vector (V1 a) -> Int

basicUnsafeSlice :: Int -> Int -> Vector (V1 a) -> Vector (V1 a)

basicUnsafeIndexM :: Vector (V1 a) -> Int -> Box (V1 a)

basicUnsafeCopy :: Mutable Vector s (V1 a) -> Vector (V1 a) -> ST s ()

elemseq :: Vector (V1 a) -> V1 a -> b -> b

Unbox a => MVector MVector (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

basicLength :: MVector s (V1 a) -> Int

basicUnsafeSlice :: Int -> Int -> MVector s (V1 a) -> MVector s (V1 a)

basicOverlaps :: MVector s (V1 a) -> MVector s (V1 a) -> Bool

basicUnsafeNew :: Int -> ST s (MVector s (V1 a))

basicInitialize :: MVector s (V1 a) -> ST s ()

basicUnsafeReplicate :: Int -> V1 a -> ST s (MVector s (V1 a))

basicUnsafeRead :: MVector s (V1 a) -> Int -> ST s (V1 a)

basicUnsafeWrite :: MVector s (V1 a) -> Int -> V1 a -> ST s ()

basicClear :: MVector s (V1 a) -> ST s ()

basicSet :: MVector s (V1 a) -> V1 a -> ST s ()

basicUnsafeCopy :: MVector s (V1 a) -> MVector s (V1 a) -> ST s ()

basicUnsafeMove :: MVector s (V1 a) -> MVector s (V1 a) -> ST s ()

basicUnsafeGrow :: MVector s (V1 a) -> Int -> ST s (MVector s (V1 a))

Binary a => Binary (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

put :: V1 a -> Put Source #

get :: Get (V1 a) Source #

putList :: [V1 a] -> Put Source #

Serial a => Serial (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

serialize :: MonadPut m => V1 a -> m () Source #

deserialize :: MonadGet m => m (V1 a) Source #

Serialize a => Serialize (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

put :: Putter (V1 a) Source #

get :: Get (V1 a) Source #

NFData a => NFData (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

rnf :: V1 a -> () Source #

Monoid a => Monoid (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

mempty :: V1 a Source #

mappend :: V1 a -> V1 a -> V1 a Source #

mconcat :: [V1 a] -> V1 a Source #

Semigroup a => Semigroup (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

(<>) :: V1 a -> V1 a -> V1 a Source #

sconcat :: NonEmpty (V1 a) -> V1 a Source #

stimes :: Integral b => b -> V1 a -> V1 a Source #

Data a => Data (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> V1 a -> c (V1 a) Source #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (V1 a) Source #

toConstr :: V1 a -> Constr Source #

dataTypeOf :: V1 a -> DataType Source #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c (V1 a)) Source #

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (V1 a)) Source #

gmapT :: (forall b. Data b => b -> b) -> V1 a -> V1 a Source #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> V1 a -> r Source #

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> V1 a -> r Source #

gmapQ :: (forall d. Data d => d -> u) -> V1 a -> [u] Source #

gmapQi :: Int -> (forall d. Data d => d -> u) -> V1 a -> u Source #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> V1 a -> m (V1 a) Source #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> V1 a -> m (V1 a) Source #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> V1 a -> m (V1 a) Source #

Bounded a => Bounded (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

minBound :: V1 a Source #

maxBound :: V1 a Source #

Floating a => Floating (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

pi :: V1 a Source #

exp :: V1 a -> V1 a Source #

log :: V1 a -> V1 a Source #

sqrt :: V1 a -> V1 a Source #

(**) :: V1 a -> V1 a -> V1 a Source #

logBase :: V1 a -> V1 a -> V1 a Source #

sin :: V1 a -> V1 a Source #

cos :: V1 a -> V1 a Source #

tan :: V1 a -> V1 a Source #

asin :: V1 a -> V1 a Source #

acos :: V1 a -> V1 a Source #

atan :: V1 a -> V1 a Source #

sinh :: V1 a -> V1 a Source #

cosh :: V1 a -> V1 a Source #

tanh :: V1 a -> V1 a Source #

asinh :: V1 a -> V1 a Source #

acosh :: V1 a -> V1 a Source #

atanh :: V1 a -> V1 a Source #

log1p :: V1 a -> V1 a Source #

expm1 :: V1 a -> V1 a Source #

log1pexp :: V1 a -> V1 a Source #

log1mexp :: V1 a -> V1 a Source #

Storable a => Storable (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

sizeOf :: V1 a -> Int Source #

alignment :: V1 a -> Int Source #

peekElemOff :: Ptr (V1 a) -> Int -> IO (V1 a) Source #

pokeElemOff :: Ptr (V1 a) -> Int -> V1 a -> IO () Source #

peekByteOff :: Ptr b -> Int -> IO (V1 a) Source #

pokeByteOff :: Ptr b -> Int -> V1 a -> IO () Source #

peek :: Ptr (V1 a) -> IO (V1 a) Source #

poke :: Ptr (V1 a) -> V1 a -> IO () Source #

Generic (V1 a) Source #

Instance details

Defined in Linear.V1

Associated Types

type Rep (V1 a)
Instance details Defined in Linear.V1 type Rep (V1 a) = D1 ('MetaData "V1" "Linear.V1" "linear-1.23.2-5AqyVb8sK1m3MfzHCRCQd3" 'True) (C1 ('MetaCons "V1" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

Methods

from :: V1 a -> Rep (V1 a) x Source #

to :: Rep (V1 a) x -> V1 a Source #

Ix a => Ix (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

range :: (V1 a, V1 a) -> [V1 a] Source #

index :: (V1 a, V1 a) -> V1 a -> Int Source #

unsafeIndex :: (V1 a, V1 a) -> V1 a -> Int Source #

inRange :: (V1 a, V1 a) -> V1 a -> Bool Source #

rangeSize :: (V1 a, V1 a) -> Int Source #

unsafeRangeSize :: (V1 a, V1 a) -> Int Source #

Num a => Num (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

(+) :: V1 a -> V1 a -> V1 a Source #

(-) :: V1 a -> V1 a -> V1 a Source #

(*) :: V1 a -> V1 a -> V1 a Source #

negate :: V1 a -> V1 a Source #

abs :: V1 a -> V1 a Source #

signum :: V1 a -> V1 a Source #

fromInteger :: Integer -> V1 a Source #

Read a => Read (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

readsPrec :: Int -> ReadS (V1 a) Source #

readList :: ReadS [V1 a] Source #

readPrec :: ReadPrec (V1 a) Source #

readListPrec :: ReadPrec [V1 a] Source #

Fractional a => Fractional (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

(/) :: V1 a -> V1 a -> V1 a Source #

recip :: V1 a -> V1 a Source #

fromRational :: Rational -> V1 a Source #

Show a => Show (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

showsPrec :: Int -> V1 a -> ShowS Source #

show :: V1 a -> String Source #

showList :: [V1 a] -> ShowS Source #

Eq a => Eq (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

(==) :: V1 a -> V1 a -> Bool Source #

(/=) :: V1 a -> V1 a -> Bool Source #

Ord a => Ord (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

compare :: V1 a -> V1 a -> Ordering Source #

(<) :: V1 a -> V1 a -> Bool Source #

(<=) :: V1 a -> V1 a -> Bool Source #

(>) :: V1 a -> V1 a -> Bool Source #

(>=) :: V1 a -> V1 a -> Bool Source #

max :: V1 a -> V1 a -> V1 a Source #

min :: V1 a -> V1 a -> V1 a Source #

Hashable a => Hashable (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

hashWithSalt :: Int -> V1 a -> Int Source #

hash :: V1 a -> Int Source #

Ixed (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

ix :: Index (V1 a) -> Traversal' (V1 a) (IxValue (V1 a)) Source #

Epsilon a => Epsilon (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

nearZero :: V1 a -> Bool Source #

Random a => Random (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

randomR :: RandomGen g => (V1 a, V1 a) -> g -> (V1 a, g) Source #

random :: RandomGen g => g -> (V1 a, g) Source #

randomRs :: RandomGen g => (V1 a, V1 a) -> g -> [V1 a] Source #

randoms :: RandomGen g => g -> [V1 a] Source #

Uniform a => Uniform (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

uniformM :: StatefulGen g m => g -> m (V1 a) Source #

UniformRange a => UniformRange (V1 a) Source #

Instance details

Defined in Linear.V1

Methods

uniformRM :: StatefulGen g m => (V1 a, V1 a) -> g -> m (V1 a) Source #

Unbox a => Unbox (V1 a) Source #

Instance details

Defined in Linear.V1

FoldableWithIndex (E V1) V1 Source #

Instance details

Defined in Linear.V1

Methods

ifoldMap :: Monoid m => (E V1 -> a -> m) -> V1 a -> m Source #

ifoldMap' :: Monoid m => (E V1 -> a -> m) -> V1 a -> m Source #

ifoldr :: (E V1 -> a -> b -> b) -> b -> V1 a -> b Source #

ifoldl :: (E V1 -> b -> a -> b) -> b -> V1 a -> b Source #

ifoldr' :: (E V1 -> a -> b -> b) -> b -> V1 a -> b Source #

ifoldl' :: (E V1 -> b -> a -> b) -> b -> V1 a -> b Source #

FunctorWithIndex (E V1) V1 Source #

Instance details

Defined in Linear.V1

Methods

imap :: (E V1 -> a -> b) -> V1 a -> V1 b Source #

TraversableWithIndex (E V1) V1 Source #

Instance details

Defined in Linear.V1

Methods

itraverse :: Applicative f => (E V1 -> a -> f b) -> V1 a -> f (V1 b) Source #

Each (V1 a) (V1 b) a b Source #

Instance details

Defined in Linear.V1

Methods

each :: Traversal (V1 a) (V1 b) a b Source #

Field1 (V1 a) (V1 b) a b Source #

Instance details

Defined in Linear.V1

Methods

_1 :: Lens (V1 a) (V1 b) a b Source #

type Rep V1 Source #

Instance details

Defined in Linear.V1

type Rep V1 = E V1

type Diff V1 Source #

Instance details

Defined in Linear.Affine

type Diff V1 = V1

type Size V1 Source #

Instance details

Defined in Linear.V1

type Size V1 = 1

type Rep1 V1 Source #

Instance details

Defined in Linear.V1

type Rep1 V1 = D1 ('MetaData "V1" "Linear.V1" "linear-1.23.2-5AqyVb8sK1m3MfzHCRCQd3" 'True) (C1 ('MetaCons "V1" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) Par1))

newtype MVector s (V1 a) Source #

Instance details

Defined in Linear.V1

newtype MVector s (V1 a) = MV_V1 (MVector s a)

type Rep (V1 a) Source #

Instance details

Defined in Linear.V1

type Rep (V1 a) = D1 ('MetaData "V1" "Linear.V1" "linear-1.23.2-5AqyVb8sK1m3MfzHCRCQd3" 'True) (C1 ('MetaCons "V1" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 a)))

type Index (V1 a) Source #

Instance details

Defined in Linear.V1

type Index (V1 a) = E V1

type IxValue (V1 a) Source #

Instance details

Defined in Linear.V1

type IxValue (V1 a) = a

newtype Vector (V1 a) Source #

Instance details

Defined in Linear.V1

newtype Vector (V1 a) = V_V1 (Vector a)

class R1 (t :: Type -> Type) where Source #

A space that has at least 1 basis vector _x.

Methods

_x :: Lens' (t a) a Source #

>>> V1 2 ^._x
2

>>> V1 2 & _x .~ 3
V1 3

Instances

Instances details

R1 Identity Source #
Instance details Defined in Linear.V1 Methods _x :: Lens' (Identity a) a Source #
R1 Quaternion Source #
Instance details Defined in Linear.Quaternion Methods _x :: Lens' (Quaternion a) a Source #
R1 V1 Source #
Instance details Defined in Linear.V1 Methods _x :: Lens' (V1 a) a Source #
R1 V2 Source #
Instance details Defined in Linear.V2 Methods _x :: Lens' (V2 a) a Source #
R1 V3 Source #
Instance details Defined in Linear.V3 Methods _x :: Lens' (V3 a) a Source #
R1 V4 Source #
Instance details Defined in Linear.V4 Methods _x :: Lens' (V4 a) a Source #
R1 f => R1 (Point f) Source #
Instance details Defined in Linear.Affine Methods _x :: Lens' (Point f a) a Source #

ex :: forall (t :: Type -> Type). R1 t => E t Source #