Linear.V1

1-D Vectors

Documentation

newtype V1 a

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

Monad V1

Functor V1

MonadFix V1

Applicative V1

Foldable V1

Traversable V1

Generic1 V1

Distributive V1

Representable V1

MonadZip V1

Traversable1 V1

Foldable1 V1

Apply V1

Bind V1

Additive V1

Metric V1

R1 V1

Affine V1

Unbox a => Vector Vector (V1 a)

Unbox a => MVector MVector (V1 a)

Num r => Coalgebra r (E V1)

Num r => Algebra r (E V1)

Eq a => Eq (V1 a)

Fractional a => Fractional (V1 a)

Data a => Data (V1 a)

Num a => Num (V1 a)

Ord a => Ord (V1 a)

Read a => Read (V1 a)

Show a => Show (V1 a)

Ix a => Ix (V1 a)

Generic (V1 a)

Storable a => Storable (V1 a)

Hashable a => Hashable (V1 a)

Unbox a => Unbox (V1 a)

Ixed (V1 a)

Epsilon a => Epsilon (V1 a)

FunctorWithIndex (E V1) V1

FoldableWithIndex (E V1) V1

TraversableWithIndex (E V1) V1

Each (V1 a) (V1 b) a b

Typeable (* -> *) V1

type Rep1 V1

type Rep V1 = E V1

type Diff V1 = V1

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

type Rep (V1 a)

data Vector (V1 a) = V_V1 (Vector a)

type Index (V1 a) = E V1

type IxValue (V1 a) = a

class R1 t where

A space that has at least 1 basis vector _x.

Minimal complete definition

Nothing

Methods

_x :: Lens' (t a) a

>>> V1 2 ^._x
2

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

Instances

R1 Identity

R1 V1

R1 V2

R1 V3

R1 V4

R1 f => R1 (Point f)

ex :: R1 t => E t