LPFP-core-1.1.1: Code for the book Learn Physics with Functional Programming
Copyright(c) Scott N. Walck 2023
LicenseBSD3 (see LICENSE)
MaintainerScott N. Walck <walck@lvc.edu>
Stabilitystable
Safe HaskellSafe-Inferred
LanguageHaskell2010

LPFPCore.CoordinateSystems

Description

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

Documentation

data Position Source #

Constructors

Cart R R R 

Instances

Instances details
Show Position Source # 
Instance details

Defined in LPFPCore.CoordinateSystems

Methods

showsPrec :: Int -> Position -> ShowS #

show :: Position -> String #

showList :: [Position] -> ShowS #

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

cartesian :: CoordinateSystem Source #

cylindrical :: CoordinateSystem Source #

spherical :: CoordinateSystem Source #

cart :: R -> R -> R -> Position Source #

cyl :: R -> R -> R -> Position Source #

sph :: R -> R -> R -> Position Source #

origin :: Position Source #

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

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

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

type Displacement = Vec Source #

displacement :: Position -> Position -> Displacement Source #

shiftPosition :: Displacement -> Position -> Position Source #

type ScalarField = Position -> R Source #

xSF :: ScalarField Source #

rSF :: ScalarField Source #

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

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

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

ySF :: ScalarField Source #

type VectorField = Position -> Vec Source #

sHat :: VectorField Source #

phiHat :: VectorField Source #

rHat :: VectorField Source #

thetaHat :: VectorField Source #

xHat :: VectorField Source #

yHat :: VectorField Source #

zHat :: VectorField Source #

rVF :: VectorField Source #

addScalarFields :: [ScalarField] -> ScalarField Source #

addVectorFields :: [VectorField] -> VectorField Source #

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

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

thetaSF :: ScalarField Source #

thetaHat3D :: IO () Source #

phiHatGrad :: IO () Source #