| Copyright | (c) Artem Chirkin |
|---|---|
| License | BSD3 |
| Maintainer | chirkin@arch.ethz.ch |
| Safe Haskell | None |
| Language | Haskell2010 |
Numeric.Vector
Contents
Description
- type Vector t n = DataFrame t '[n]
- type Vec2f = Vector Float 2
- type Vec3f = Vector Float 3
- type Vec4f = Vector Float 4
- type Vec2d = Vector Double 2
- type Vec3d = Vector Double 3
- type Vec4d = Vector Double 4
- (.*.) :: (Num t, Num (Vector t n), ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Vector t n -> Vector t n
- dot :: (Num t, Num (Vector t n), ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Vector t n -> Scalar t
- · :: (Num t, Num (Vector t n), ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Vector t n -> Scalar t
- normL1 :: (Num t, ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Scalar t
- normL2 :: (Floating t, ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Scalar t
- normLPInf :: (Ord t, Num t, ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Scalar t
- normLNInf :: (Ord t, Num t, ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Scalar t
- normLP :: (Floating t, ElementWise (Idx '[n]) t (Vector t n)) => Int -> Vector t n -> Scalar t
- vec2 :: ElementWise (Idx '[2]) t (Vector t 2) => t -> t -> Vector t 2
- vec3 :: ElementWise (Idx '[3]) t (Vector t 3) => t -> t -> t -> Vector t 3
- vec4 :: ElementWise (Idx '[4]) t (Vector t 4) => t -> t -> t -> t -> Vector t 4
- det2 :: (ElementWise (Idx '[2]) t (Vector t 2), Num t) => Vector t 2 -> Vector t 2 -> Scalar t
- cross :: (ElementWise (Idx '[3]) t (Vector t 3), Num t) => Vector t 3 -> Vector t 3 -> Vector t 3
- (×) :: (ElementWise (Idx '[3]) t (Vector t 3), Num t) => Vector t 3 -> Vector t 3 -> Vector t 3
Type aliases
Common operations
(.*.) :: (Num t, Num (Vector t n), ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Vector t n -> Vector t n infixl 7 Source #
Scalar product -- sum of Vecs' components products, propagated into whole Vec
dot :: (Num t, Num (Vector t n), ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Vector t n -> Scalar t Source #
Scalar product -- sum of Vecs' components products -- a scalar
· :: (Num t, Num (Vector t n), ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Vector t n -> Scalar t infixl 7 Source #
Dot product of two vectors
normL1 :: (Num t, ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Scalar t Source #
Sum of absolute values
normL2 :: (Floating t, ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Scalar t Source #
hypot function (square root of squares)
normLPInf :: (Ord t, Num t, ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Scalar t Source #
Maximum of absolute values
normLNInf :: (Ord t, Num t, ElementWise (Idx '[n]) t (Vector t n)) => Vector t n -> Scalar t Source #
Minimum of absolute values
normLP :: (Floating t, ElementWise (Idx '[n]) t (Vector t n)) => Int -> Vector t n -> Scalar t Source #
Norm in Lp space
vec3 :: ElementWise (Idx '[3]) t (Vector t 3) => t -> t -> t -> Vector t 3 Source #
Compose a 3D vector
vec4 :: ElementWise (Idx '[4]) t (Vector t 4) => t -> t -> t -> t -> Vector t 4 Source #
Compose a 3D vector
det2 :: (ElementWise (Idx '[2]) t (Vector t 2), Num t) => Vector t 2 -> Vector t 2 -> Scalar t Source #
Take a determinant of a matrix composed from two 2D vectors. Like a cross product in 2D.