jord-1.0.0.0: Geographical Position Calculations

Copyright	(c) 2020 Cedric Liegeois
License	BSD3
Maintainer	Cedric Liegeois <ofmooseandmen@yahoo.fr>
Stability	experimental
Portability	portable
Safe Haskell	Safe
Language	Haskell2010

Data.Geo.Jord.Vector3d

Description

3-element vector.

Synopsis

data Vector3d = Vector3d {
- vx :: Double
- vy :: Double
- vz :: Double
}
vadd :: Vector3d -> Vector3d -> Vector3d
vsub :: Vector3d -> Vector3d -> Vector3d
vdot :: Vector3d -> Vector3d -> Double
vnorm :: Vector3d -> Double
vcross :: Vector3d -> Vector3d -> Vector3d
vmultm :: Vector3d -> [Vector3d] -> Vector3d
vscale :: Vector3d -> Double -> Vector3d
vunit :: Vector3d -> Vector3d
vzero :: Vector3d
transpose :: [Vector3d] -> [Vector3d]
mdot :: [Vector3d] -> [Vector3d] -> [Vector3d]

Documentation

data Vector3d Source #

3-element vector.

Constructors

Vector3d
Fields vx :: Double vy :: Double vz :: Double

Instances

Eq Vector3d Source #
Instance details Defined in Data.Geo.Jord.Vector3d Methods (==) :: Vector3d -> Vector3d -> Bool # (/=) :: Vector3d -> Vector3d -> Bool #
Show Vector3d Source #
Instance details Defined in Data.Geo.Jord.Vector3d Methods showsPrec :: Int -> Vector3d -> ShowS # show :: Vector3d -> String # showList :: [Vector3d] -> ShowS #

vadd :: Vector3d -> Vector3d -> Vector3d Source #

Adds 2 vectors.

vsub :: Vector3d -> Vector3d -> Vector3d Source #

Subtracts 2 vectors.

vdot :: Vector3d -> Vector3d -> Double Source #

Computes the dot product of 2 vectors.

vnorm :: Vector3d -> Double Source #

Computes the norm of a vector.

vcross :: Vector3d -> Vector3d -> Vector3d Source #

Computes the cross product of 2 vectors: the vector perpendicular to given vectors.

vmultm :: Vector3d -> [Vector3d] -> Vector3d Source #

vmultm v rm multiplies vector v by 3x3 matrix m (rows).

vscale :: Vector3d -> Double -> Vector3d Source #

vscale v s multiplies each component of v by s.

vunit :: Vector3d -> Vector3d Source #

Normalises a vector. The vnorm of the produced vector is 1.

vzero :: Vector3d Source #

vector of vnorm 0.

transpose :: [Vector3d] -> [Vector3d] Source #

transpose square (3x3) matrix of Vector3d.

mdot :: [Vector3d] -> [Vector3d] -> [Vector3d] Source #

multiplies 2 3x3 matrices.