LPFPCore.CoordinateSystems

Code from chapter 22 of the book Learn Physics with Functional Programming

Documentation

data Position

Constructors

Cart R R R

Instances

Show Position

Defined in LPFPCore.CoordinateSystems

Methods

showsPrec :: Int -> Position -> ShowS

show :: Position -> String

showList :: [Position] -> ShowS

type CoordinateSystem = (R, R, R) -> Position

cartesian :: CoordinateSystem

cylindrical :: CoordinateSystem

spherical :: CoordinateSystem

cart :: R -> R -> R -> Position

cyl :: R -> R -> R -> Position

sph :: R -> R -> R -> Position

origin :: Position

cartesianCoordinates :: Position -> (R, R, R)

cylindricalCoordinates :: Position -> (R, R, R)

sphericalCoordinates :: Position -> (R, R, R)

type Displacement = Vec

displacement :: Position -> Position -> Displacement

shiftPosition :: Displacement -> Position -> Position

type ScalarField = Position -> R

xSF :: ScalarField

rSF :: ScalarField

fst3 :: (a, b, c) -> a

snd3 :: (a, b, c) -> b

thd3 :: (a, b, c) -> c

ySF :: ScalarField

type VectorField = Position -> Vec

sHat :: VectorField

phiHat :: VectorField

rHat :: VectorField

thetaHat :: VectorField

xHat :: VectorField

yHat :: VectorField

zHat :: VectorField

rVF :: VectorField

addScalarFields :: [ScalarField] -> ScalarField

addVectorFields :: [VectorField] -> VectorField

sfTable :: ((R, R) -> Position) -> [R] -> [R] -> ScalarField -> Table Int

magRad :: (R, R) -> (R, R)

thetaSF :: ScalarField

thetaHat3D :: IO ()

phiHatGrad :: IO ()