Vector

A module for Vectors

Types

type Vector a

= Vector (List a)

Vector type

type Vector3 a

= Vector3 a a a

3 Dimensional Vector type

addComplexVectors :

Vector (ComplexNumberCartesian number)

-> Vector (ComplexNumberCartesian number)

Add Complex Vectors together

addRealVectors : Vector number -> Vector number -> Vector number

Add Real Vectors together

map : (a -> b) -> Vector a -> Vector b

Map over a vector

multiplyRealVectors : Vector number -> Vector number -> Vector number

Multiply two Real Vectors together

multiplyComplexVectors :

Vector (ComplexNumberCartesian number)

-> Vector (ComplexNumberCartesian number)

Multiply two Complex Vectors together

equal : (a -> a -> Bool) -> Vector a -> Vector a -> Bool

Compare two Vectors for equality

sumEmpty : List a -> Vector a

Monoid empty for Vector

sumReal : List number -> Monoid (Vector number)

Monoidally add Real Vectors together

sumComplex :

List (ComplexNumberCartesian number)

-> Monoid (Vector (ComplexNumberCartesian number))

Monoidally add Complex Vectors together

apply : Vector (a -> b) -> Vector a -> Vector b

Apply for Vector

liftA2 : (a -> b -> c) -> Vector a -> Vector b -> Vector c

Lift a binary function to work with Vectors

foldl : (a -> b -> b) -> b -> Vector a -> b

Left fold over a Vector

realVectorDotProduct : Vector number -> Vector number -> number

Dot product on two Real Numbered Vectors

complexVectorDotProduct :

Vector (ComplexNumberCartesian number)

-> Vector (ComplexNumberCartesian number)

-> ComplexNumberCartesian number

Dot product on two Complex Numbered Vectors

concat : Vector a -> Vector a -> Vector a

Concat two Vectors together

complexVectorLength :

Vector (ComplexNumberCartesian Float)

-> ComplexNumberCartesian Float

Calculate length of a complex vector

cross : Vector3 number -> Vector3 number -> Vector3 number

Take the cross product of two 3D vectors

distance : Vector Float -> Vector Float -> Float

Calculate distance between two vectors

normalise : Vector Float -> Vector Float

Adjust a vector so that its length is exactly one

realVectorLength : Vector Float -> Float

Calculate length of a real vector

subtractRealVectors : Vector number -> Vector number -> Vector number

Subtract Real Vectors together

vector3ToVector : Vector3 number -> Vector number

Convert a Vector3 type to a Vector typeZ

jonathanfishbein1/linear-algebra/3.0.0

Vector

Types

Modules