{-# OPTIONS -Wall #-}

import LPFP.SimpleVec ( iHat, kHat, xComp, zComp, projectilePos, (^+^), (*^) )
import Graphics.Gnuplot.Simple ( Attribute(..), plotPath )

main :: IO ()
main = let posInitial = 10 *^ kHat
           velInitial = 20 *^ cos (pi/6) *^ iHat ^+^ 20 *^ sin (pi/6) *^ kHat
           posFunc = projectilePos posInitial velInitial
           pairs = [(xComp r, zComp r) | t <- [0, 0.01 ..], let r = posFunc t]
           plottingPairs = takeWhile (\(_,z) -> z >= 0) pairs
       in plotPath [Title "Projectile Motion"
                   ,XLabel "Horizontal position (m)"
                   ,YLabel "Height of projectile (m)"
                   ,PNG "projectile.png"
                   ,Key Nothing
                   ] plottingPairs