cga/Graphics/Diagram/Plotter.hs

{-# OPTIONS_HADDOCK ignore-exports #-}

module Graphics.Diagram.Plotter where

import Algebra.VectorTypes
import Algorithms.ConvexHull.GrahamScan
import Algorithms.QuadTree.QuadTree
import Algorithms.PolygonIntersection.Core
import Data.Maybe
import Data.Monoid
import Data.Tree
import Diagrams.Backend.Cairo
import Diagrams.Prelude hiding ((<>))
import Diagrams.TwoD.Layout.Tree
import Graphics.Diagram.Types
import Parser.PathParser


-- |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 (Object vt) = drawP vt p
    cp p (Objects vts) = drawP (concat vts) p
    drawP [] _ = mempty
    drawP vt p =
      position (zip (filterValidPT 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 . trim') x ++ ", " ++ (show . trim') y ++ ")") # scale 10
  where
    trim' :: Double -> Double
    trim' x' = fromInteger . round $ x' * (10^(2 :: Int)) /
                                          (10.0^^(2 :: Int))
    (x, y) = unp2 pt


-- |Show coordinates as text above all points.
coordPointsText :: Diag
coordPointsText = Diag cpt
  where
    cpt p (Object vt)   = drawT vt p
    cpt p (Objects vts) = drawT (concat vts) p
    drawT [] _ = mempty
    drawT vt p
      | ct p =
          position $
            zip vtf (pointToTextCoord <$> vtf) # translate (r2 (0, 10))
      | otherwise = mempty
      where
        vtf = filterValidPT p vt


-- |Draw the lines of the polygon.
polyLines :: Diag
polyLines = Diag pp
  where
    pp _ (Objects []) = mempty
    pp p (Objects (x:y:_)) =
      strokePoly x <> strokePoly y
      where
        strokePoly x' =
          (strokeTrail        .
            fromVertices      $
            vtf x' ++ [head . vtf $ x'])   #
          moveTo (head x')                 #
          lc black
        vtf = filterValidPT p
    pp _ _  = mempty


-- |Show the intersection points of two polygons as red dots.
polyIntersection :: Diag
polyIntersection = Diag pi'
  where
    pi' p (Objects (x:y:_)) = position (zip vtpi (repeat dot))
      where
        paF  = filterValidPT p x
        pbF  = filterValidPT p y
        dot  = (circle $ t p :: Diagram Cairo R2) # fc red # lc red
        vtpi = intersectionPoints
                . sortLexPolys
                $ (sortLexPoly paF, sortLexPoly pbF)
    pi' _ _ = mempty


-- |Show the intersection points of two polygons as red dots.
polyIntersectionText :: Diag
polyIntersectionText = Diag pit'
  where
    pit' p (Objects (x:y:_))
      | ct p =
          position $
            zip vtpi
                (pointToTextCoord # fc red <$> vtpi) # translate (r2 (0, 10))
      | otherwise = mempty
      where
        paF  = filterValidPT p x
        pbF  = filterValidPT p y
        vtpi = intersectionPoints
                . sortLexPolys
                $ (sortLexPoly paF, sortLexPoly pbF)
    pit' _ _ = mempty


-- |Create a diagram which shows the points of the convex hull.
convexHP :: Diag
convexHP = Diag chp
  where
    chp p (Object vt) =
      position (zip vtch
        (repeat dot))
      where
        dot = (circle $ t p :: Diagram Cairo R2) # fc red # lc red
        vtch = grahamCH $ filterValidPT p vt
    chp _ _ = mempty


-- |Show coordinates as text above the convex hull points.
convexHPText :: Diag
convexHPText = Diag chpt
  where
    chpt p (Object vt)
      | ct p =
          position $
            zip vtchf
                (pointToTextCoord <$> vtchf) # translate (r2 (0, 10))
      | otherwise = mempty
      where
        vtchf = grahamCH . filterValidPT p $ vt
    chpt _ _ = mempty


-- |Create a diagram which shows the lines along the convex hull
-- points.
convexHLs :: Diag
convexHLs = Diag chl
  where
    chl _ (Object []) = mempty
    chl p (Object vt) =
      (strokeTrail                           .
          fromVertices                       .
          flip (++) [head $ grahamCH vtf]    .
          grahamCH                           $
          vtf)                       #
        moveTo (head $ grahamCH vtf) #
        lc red
      where
        vtf = filterValidPT p vt
    chl _ _ = mempty


-- |Create list of diagrama which describe the lines along points of a half
-- convex hull, for each iteration of the algorithm. Which half is chosen
-- depends on the input.
convexHStepsLs :: Diag
convexHStepsLs = GifDiag chs
  where
    chs p col f vt =
      fmap mkChDiag (f . filterValidPT p $ vt)
      where
        mkChDiag vt' =
          (strokeTrail . fromVertices $ vt') # moveTo (head vt') # lc col


-- |Create a diagram that shows all squares of the RangeSearch algorithm
-- from the quad tree.
squares :: Diag
squares = Diag f
  where
    f _ (Object []) = mempty
    f p (Object vt) =
      mconcat
      $ (\((xmin', xmax'), (ymin', ymax')) -> rect (xmax' - xmin') (ymax' - ymin')
        # moveTo (p2 ((xmax' + xmin') / 2, (ymax' + ymin') / 2)) # lw ultraThin)
      <$> (quadTreeSquares (dX p, dY p) . quadTree vtf $ (dX p, dY p))
      where
        vtf = filterValidPT p vt
    f _ _ = mempty



-- |Get the quad tree corresponding to the given points and diagram properties.
qt :: [PT] -> DiagProp -> QuadTree PT
qt vt p = quadTree (filterValidPT p vt) (dX p, dY p)


-- |Create a diagram that shows a single square of the RangeSearch algorithm
-- from the quad tree in red, according to the given path in pQt.
quadPathSquare :: Diag
quadPathSquare = Diag f
  where
    f _ (Object []) = mempty
    f p (Object vt) =
      (\((xmin', xmax'), (ymin', ymax')) -> rect (xmax' - xmin') (ymax' - ymin')
        # moveTo (p2 ((xmax' + xmin') / 2,(ymax' + ymin') / 2)) # lw thin # lc red)
        (getSquare (stringToQuads (pQt p)) (qt vt p, []))
      where
        getSquare :: [Either Quad Orient] -> Zipper PT -> Square
        getSquare [] z = getSquareByZipper (dX p, dY p) z
        getSquare (q:qs) z = case q of
          Right x -> getSquare qs (fromMaybe z (findNeighbor x z))
          Left x  -> getSquare qs (fromMaybe z (goQuad x z))
    f _ _  = mempty


-- |Create a list of diagrams that show the walk along the given path
-- through the quad tree.
gifQuadPath :: Diag
gifQuadPath = GifDiag f
  where
    f p col _ vt =
      (\((xmin', xmax'), (ymin', ymax')) -> rect (xmax' - xmin') (ymax' - ymin')
        # moveTo (p2 ((xmax' + xmin') / 2,(ymax' + ymin') / 2)) # lw thick # lc col)
        <$> getSquares (stringToQuads (pQt p)) (qt vt p, [])
      where
        getSquares :: [Either Quad Orient] -> Zipper PT -> [Square]
        getSquares [] z = [getSquareByZipper (dX p, dY p) z]
        getSquares (q:qs) z = case q of
          Right x -> getSquareByZipper (dX p, dY p) z :
                       getSquares qs (fromMaybe z (findNeighbor x z))
          Left x  -> getSquareByZipper (dX p, dY p) z :
                       getSquares qs (fromMaybe z (goQuad x z))


-- |A diagram that shows the full Quad Tree with nodes.
treePretty :: Diag
treePretty = Diag f
  where
    f _ (Object []) = mempty
    f p (Object vt) =
      prettyRoseTree (quadTreeToRoseTree . flip getCurQT (qt vt p, []) . stringToQuads . pQt $ p)
      where
        getCurQT :: [Either Quad Orient] -> Zipper PT -> Zipper PT
        getCurQT [] z = z
        getCurQT (q:qs) z = case q of
          Right x -> getCurQT qs (fromMaybe z (findNeighbor x z))
          Left x  -> getCurQT qs (fromMaybe z (goQuad x z))
        prettyRoseTree :: Tree String -> Diagram Cairo R2
        prettyRoseTree tree =
          renderTree (\n -> case head n of
                        '*' ->
                          (text n # fontSizeL 5.0)
                            <> rect 50.0 20.0 # fc red
                        _   ->
                          (text n # fontSizeL 5.0)
                            <> rect 50.0 20.0 # fc white)
                     (~~)
                     (symmLayout' (with & slHSep .~ 60 & slVSep .~ 40) tree)
          # scale 2 # alignT # bg white
    f _ _  = mempty


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


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


-- |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 <> Diag yGrid
  where
    yGrid p _
      | gd p =
          hcat' (with & sep .~ sqS p)
                (replicate (floor . (/) (w' p) $ sqS p)
                           (vrule $ h' p))  #
          moveTo (p2 (xmin p, hOff p))      #
          lw ultraThin
      | otherwise = mempty
    xGrid p _
      | gd p =
          vcat' (with & sep .~ sqS p)
                (replicate (floor . (/) (h' p) $ sqS p)
                           (hrule $ w' p))  #
          alignB                            #
          moveTo (p2 (wOff p, ymin p))      #
          lw ultraThin
      | otherwise = mempty


plotterBG :: Diag
plotterBG = mconcat [xAxis, yAxis, grid, whiteRectB]