cga/Graphics/Diagram/Plotter.hs

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{-# OPTIONS_HADDOCK ignore-exports #-}
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module Graphics.Diagram.Plotter where
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import Algebra.Vector
import Algebra.VectorTypes
import Algorithms.ConvexHull.GrahamScan
import Algorithms.PolygonIntersection.Core
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import Data.Monoid
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import Diagrams.Backend.Cairo
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import Diagrams.Prelude hiding ((<>))
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import Graphics.Diagram.Types
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-- |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
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coordPoints = Diag cp
where
cp p (Object vt) = drawP vt p
cp p (Objects vts) = drawP (concat vts) p
drawP [] _ = mempty
drawP vt p =
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position (zip (filter (inRange (dX p) (dY p)) vt)
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(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
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-- |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 = filter (inRange (dX p) (dY 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 = filter (inRange (dX p) (dY 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 = filter (inRange (dX p) (dY p)) x
pbF = filter (inRange (dX p) (dY 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 = filter (inRange (dX p) (dY p)) x
pbF = filter (inRange (dX p) (dY 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
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(repeat dot))
where
dot = (circle $ t p :: Diagram Cairo R2) # fc red # lc red
vtch = grahamCH $ filter (inRange (dX p) (dY p)) vt
chp _ _ = mempty
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-- |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 . filter (inRange (dX p) (dY p)) $ vt
chpt _ _ = mempty
-- |Create a diagram which shows the lines along the convex hull
-- points.
convexHLs :: Diag
convexHLs = Diag chl
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where
chl _ (Object []) = mempty
chl p (Object vt) =
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(strokeTrail .
fromVertices .
flip (++) [head $ grahamCH vtf] .
grahamCH $
vtf) #
moveTo (head $ grahamCH vtf) #
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lc red
where
vtf = filter (inRange (dX p) (dY p)) vt
chl _ _ = mempty
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-- |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 :: Colour Double
-> ([PT] -> [[PT]])
-> DiagProp
-> [PT]
-> [Diagram Cairo R2]
convexHStepsLs col f p xs =
fmap mkChDiag (f xs')
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where
xs' = filter (inRange (dX p) (dY p)) xs
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mkChDiag vt =
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(strokeTrail .
fromVertices $
vt) #
moveTo (head vt) #
lc col
-- |Create list of diagrama which describe the lines along the lower
-- convex hull points, for each iteration of the algorithm.
convexLHStepsLs :: DiagProp -> [PT] -> [Diagram Cairo R2]
convexLHStepsLs = convexHStepsLs orange grahamLHSteps
-- |Create list of diagrama which describe the lines along the upper
-- convex hull points, for each iteration of the algorithm.
convexUHStepsLs :: DiagProp -> [PT] -> [Diagram Cairo R2]
convexUHStepsLs = convexHStepsLs purple grahamUHSteps
-- |Creates a Diagram that shows an XAxis which is bound
-- by the dimensions given in xD from DiagProp.
xAxis :: Diag
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xAxis =
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Diag hRule <>
Diag segments <>
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Diag labels
where
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hRule p _ =
arrowAt (p2 (xmin p, if ymin p <= 0 then 0 else ymin p))
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(r2 (w' p, 0))
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segments p _ =
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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))
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labels p _ =
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position $
zip (mkPoint <$> xs)
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((\x -> (text . show $ x) # scale 10) <$> xs)
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where
xs :: [Int]
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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
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yAxis =
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Diag vRule <>
Diag segments <>
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Diag labels
where
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vRule p _ =
arrowAt (p2 (if xmin p <= 0 then 0 else xmin p, ymin p))
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(r2 (0, h' p))
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segments p _ =
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vcat' (with & sep .~ sqS p)
(replicate (floor . (/) (h' p) $ sqS p)
(hrule 10)) #
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alignB #
moveTo (p2 (if xmin p <= 0 then 0 else xmin p, ymin p))
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labels p _ =
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position $
zip (mkPoint <$> ys)
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((\x -> (text . show $ x) # scale 10) <$> ys)
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where
ys :: [Int]
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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
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-- bit bigger than both X and Y axis dimensions from DiagProp.
whiteRectB :: Diag
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whiteRectB = Diag rect'
where
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rect' p _ =
whiteRect (w' p + (w' p / 10)) (h' p + (h' p / 10)) #
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moveTo (p2 (wOff p, hOff p))
where
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-- |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
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-- |Create a grid across the whole diagram with squares of the
-- given size in DiagProp.
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grid :: Diag
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grid = Diag xGrid <> Diag yGrid
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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]