cga/Graphics/Diagram/Plotter.hs

{-# OPTIONS_HADDOCK ignore-exports #-}

module Graphics.Diagram.Plotter where

import Algebra.Vector
import Algebra.VectorTypes
import Algorithms.ConvexHull.GrahamScan
import Diagrams.Backend.Cairo
import Diagrams.Prelude
import Graphics.Diagram.Types


-- |Creates a Diagram that shows the coordinates from the points
-- as dots. The points and thickness of the dots can be controlled
-- via DiagProp.
coordPoints :: Diag
coordPoints = Diag cp
  where
    cp p vt =
      position (zip (filter (inRange (dX p) (dY p)) $ vt)
        (repeat dot))
      where
        dot = (circle $ t p :: Diagram Cairo R2) # fc black


-- |Creates a Diagram from a point that shows the coordinates
-- in text format, such as "(1.0, 2.0)".
pointToTextCoord :: PT -> Diagram Cairo R2
pointToTextCoord pt =
  text ("(" ++ show x ++ ", " ++ show y ++ ")") # scale 10
  where
    (x, y) = unp2 pt


-- |Show coordinates as text above all points.
coordPointsText :: Diag
coordPointsText = Diag cpt
  where
    cpt p vt =
      position $
        zip vtf (pointToTextCoord <$> vtf) # translate (r2 (0, 10))
      where
        vtf = filter (inRange (dX p) (dY p)) vt


-- |Create a diagram which shows the points of the convex hull.
convexHullPoints :: Diag
convexHullPoints = Diag chp
  where
    chp p vt =
      position (zip (filter (inRange (dX p) (dY p)) $ vtch)
        (repeat dot))
      where
        dot = (circle $ t p :: Diagram Cairo R2) # fc red # lc red
        vtch = grahamGetCH vt


-- |Show coordinates as text above the convex hull points.
convexHullPointsText :: Diag
convexHullPointsText = Diag chpt
  where
    chpt p vt =
      position $
        zip vtchf
            (pointToTextCoord <$> vtchf) # translate (r2 (0, 10))
      where
        vtchf = grahamGetCH . filter (inRange (dX p) (dY p)) $ vt


-- |Create a diagram which shows the lines along the convex hull
-- points.
convexHullLines :: Diag
convexHullLines = Diag chl
  where
    chl _ [] = mempty
    chl p vt =
      (strokeTrail                           .
          fromVertices                       .
          flip (++) [head $ grahamGetCH vtf] .
          grahamGetCH                        $
          vtf)                          #
        moveTo (head $ grahamGetCH vtf) #
        lc red
      where
        vtf = filter (inRange (dX p) (dY p)) vt


-- |Same as showConvexHullLines, except that it returns an array
-- of diagrams with each step of the algorithm.
-- Unfortunately this is very difficult to implement as a Diag (TODO).
convexHullLinesInterval :: DiagProp -> [PT] -> [Diagram Cairo R2]
convexHullLinesInterval p xs =
  fmap mkChDiag (grahamGetCHSteps xs)
  where
    mkChDiag vt =
      (strokeTrail         .
          fromVertices     $
          vtf)            #
        moveTo (head vtf) #
        lc red
      where
        vtf = filter (inRange (dX p) (dY p)) vt


-- |Creates a Diagram that shows an XAxis which is bound
-- by the dimensions given in xD from DiagProp.
xAxis :: Diag
xAxis =
  (Diag hRule)      `mappend`
    (Diag segments) `mappend`
    (Diag labels)
  where
    hRule p _ =
      arrowAt (p2 (xlD p,0)) (r2 (xuD p, 0)) # moveTo (p2 (xlD p,0))
    segments p _ =
      hcat' (with & sep .~ (sqS p))
            (take (floor . (/) (xuD p - xlD p) $ (sqS p)) .
              repeat $ (vrule 10)) #
      moveTo (p2 (xlD p,0))
    labels p _ =
      position $
        zip (mkPoint <$> xs)
            ((\x -> (text . show $ x) # scale 10) <$> xs)
      where
        xs :: [Int]
        xs = take (floor . (/) (xuD p - xlD p) $ (sqS p))
                  (iterate (+(floor . sqS $ p)) 0)
        mkPoint x = p2 (fromIntegral x, -15)


-- |Creates a Diagram that shows an YAxis which is bound
-- by the dimensions given in yD from DiagProp.
yAxis :: Diag
yAxis =
  (Diag vRule)      `mappend`
    (Diag segments) `mappend`
    (Diag labels)
  where
    vRule p _ =
      arrowAt (p2 (0, ylD p)) (r2 (0, yuD p)) # moveTo (p2 (0, ylD p))
    segments p _ =
      vcat' (with & sep .~ (sqS p))
            (take (floor . (/) (yuD p - ylD p) $ (sqS p)) .
              repeat $ (hrule 10)) #
      alignB                       #
      moveTo (p2 (0, (ylD p)))
    labels p _ =
      position $
        zip (mkPoint <$> ys)
            ((\x -> (text . show $ x) # scale 10) <$> ys)
        where
          ys :: [Int]
          ys = take (floor . (/) (yuD p - ylD p) $ (sqS p))
                    (iterate (+(floor . sqS $ p)) 0)
          mkPoint y = p2 (-15, fromIntegral y)


-- |Creates a Diagram that shows a white rectangle which is a little
-- bit bigger than both X and Y axis dimensions from DiagProp.
whiteRectB :: Diag
whiteRectB = Diag rect'
  where
    rect' p _ = whiteRect (w' + 50) (h' + 50) # moveTo (p2 (w' / 2, h' / 2))
      where
        w' = xuD p - xlD p
        h' = yuD p - ylD p


-- |Create a white rectangle with the given width and height.
whiteRect :: Double -> Double -> Diagram Cairo R2
whiteRect x y = rect x y # lwG 0.00 # bg white


-- |Create a grid across the whole diagram with squares of the
-- given size in DiagProp.
grid :: Diag
grid = Diag xGrid `mappend` Diag yGrid
  where
    yGrid p _ =
      hcat' (with & sep .~ (sqS p))
            (take (floor . (/) (xuD p - xlD p) $ (sqS p)) .
              repeat $ (vrule $ xuD p - xlD p))   #
      moveTo (p2 (xlD p, (yuD p - ylD p) / 2))    #
      lw ultraThin
    xGrid p _ =
      vcat' (with & sep .~ (sqS p))
            (take (floor . (/) (yuD p - ylD p) $ (sqS p)) .
              repeat $ (hrule $ yuD p - ylD p))  #
      alignB                                     #
      moveTo (p2 ((xuD p - xlD p) / 2, ylD p))   #
      lw ultraThin