Copyright	(c) Scott N. Walck 2023
License	BSD3 (see LICENSE)
Maintainer	Scott N. Walck <walck@lvc.edu>
Stability	stable
Safe Haskell	Safe-Inferred
Language	Haskell2010

LPFPCore.MOExamples

Description

Code from chapter 20 of the book Learn Physics with Functional Programming

Documentation

twoSpringsForces :: [Force] Source #

twoSpringsInitial :: MultiParticleState Source #

twoSpringsUpdate :: TimeStep -> MultiParticleState -> MultiParticleState Source #

kineticEnergy :: ParticleState -> R Source #

systemKE :: MultiParticleState -> R Source #

linearSpringPE :: R -> R -> ParticleState -> ParticleState -> R Source #

earthSurfaceGravityPE :: ParticleState -> R Source #

twoSpringsPE :: MultiParticleState -> R Source #

twoSpringsME :: MultiParticleState -> R Source #

billiardForces :: R -> [Force] Source #

ballRadius :: R Source #

billiardDiffEq :: R -> MultiParticleState -> DMultiParticleState Source #

billiardUpdate :: (TimeStep -> NumericalMethod MultiParticleState DMultiParticleState) -> R -> TimeStep -> MultiParticleState -> MultiParticleState Source #

billiardEvolver :: (TimeStep -> NumericalMethod MultiParticleState DMultiParticleState) -> R -> TimeStep -> MultiParticleState -> [MultiParticleState] Source #

billiardInitial :: MultiParticleState Source #

billiardStates :: (TimeStep -> NumericalMethod MultiParticleState DMultiParticleState) -> R -> TimeStep -> [MultiParticleState] Source #

billiardStatesFinite :: (TimeStep -> NumericalMethod MultiParticleState DMultiParticleState) -> R -> TimeStep -> [MultiParticleState] Source #

momentum :: ParticleState -> Vec Source #

systemP :: MultiParticleState -> Vec Source #

percentChangePMag :: [MultiParticleState] -> R Source #

sigFigs :: Int -> R -> Float Source #

data Justification Source #

Constructors

LJ
RJ

Instances

Instances details

Show Justification Source #
Instance details Defined in LPFPCore.MOExamples Methods showsPrec :: Int -> Justification -> ShowS # show :: Justification -> String # showList :: [Justification] -> ShowS #

data Table a Source #

Constructors

Table Justification [[a]]

Instances

Instances details

Show a => Show (Table a) Source #
Instance details Defined in LPFPCore.MOExamples Methods showsPrec :: Int -> Table a -> ShowS # show :: Table a -> String # showList :: [Table a] -> ShowS #

pTable :: (TimeStep -> NumericalMethod MultiParticleState DMultiParticleState) -> [R] -> [TimeStep] -> Table Float Source #

pTableEu :: [R] -> [TimeStep] -> Table Float Source #

percentChangeKE :: [MultiParticleState] -> R Source #

tenths :: R -> Float Source #

keTable :: (TimeStep -> NumericalMethod MultiParticleState DMultiParticleState) -> [R] -> [TimeStep] -> Table Float Source #

contactSteps :: [MultiParticleState] -> Int Source #

inContact :: MultiParticleState -> Bool Source #

contactTable :: (TimeStep -> NumericalMethod MultiParticleState DMultiParticleState) -> [R] -> [TimeStep] -> Table Int Source #

closest :: [MultiParticleState] -> R Source #

separation :: MultiParticleState -> R Source #

closestTable :: (TimeStep -> NumericalMethod MultiParticleState DMultiParticleState) -> [R] -> [TimeStep] -> Table Float Source #

forcesString :: [Force] Source #

stringUpdate :: TimeStep -> MultiParticleState -> MultiParticleState Source #

stringInitialOvertone :: Int -> MultiParticleState Source #

stringInitialPluck :: MultiParticleState Source #

mpsPos :: MultiParticleState -> IO () Source #

mpsVel :: MultiParticleState -> IO () Source #

dissipation :: R -> R -> TwoBodyForce Source #