combinat-diagrams 0.1 → 0.2

raw patch · 23 files changed

+579/−90 lines, 23 filesdep +lineardep −vector-spacedep ~basedep ~combinatdep ~diagrams-corePVP ok

version bump matches the API change (PVP)

Dependencies added: linear

Dependencies removed: vector-space

Dependency ranges changed: base, combinat, diagrams-core, diagrams-lib

API changes (from Hackage documentation)

Files

• LICENSE +1/−1
• Math/Combinat/Diagrams.hs +4/−0
• Math/Combinat/Diagrams/LatticePaths.hs +19/−6
• Math/Combinat/Diagrams/Partitions/Integer.hs +22/−11
• Math/Combinat/Diagrams/Partitions/NonCrossing.hs +31/−17
• Math/Combinat/Diagrams/Partitions/Plane.hs +33/−14
• Math/Combinat/Diagrams/Partitions/Skew.hs +142/−0
• Math/Combinat/Diagrams/Tableaux.hs +23/−9
• Math/Combinat/Diagrams/Tableaux/Skew.hs +73/−0
• Math/Combinat/Diagrams/Trees/Binary.hs +20/−13
• combinat-diagrams.cabal +20/−19
• svg/bintrees.svg +3/−0
• svg/dyck_path.svg +3/−0
• svg/ferrers.svg +3/−0
• svg/noncrossing.svg +3/−0
• svg/plane_partition.svg +3/−0
• svg/skew.svg +3/−0
• svg/skew2.svg +3/−0
• svg/skew3.svg +3/−0
• svg/skew_tableau.svg +3/−0
• svg/src/gen_figures.hs +81/−0
• svg/young_tableau.svg +3/−0
• test/Test.hs +80/−0

@@ -1,4 +1,4 @@-Copyright (c) 2014, Balazs Komuves+Copyright (c) 2014-2015, Balazs Komuves All rights reserved.  Redistribution and use in source and binary forms, with or without

@@ -5,7 +5,9 @@   , module Math.Combinat.Diagrams.Partitions.Integer
   , module Math.Combinat.Diagrams.Partitions.NonCrossing
   , module Math.Combinat.Diagrams.Partitions.Plane
+  , module Math.Combinat.Diagrams.Partitions.Skew
   , module Math.Combinat.Diagrams.Tableaux
+  , module Math.Combinat.Diagrams.Tableaux.Skew
   , module Math.Combinat.Diagrams.Trees.Binary
   )
   where
@@ -16,7 +18,9 @@ import Math.Combinat.Diagrams.Partitions.Integer
 import Math.Combinat.Diagrams.Partitions.NonCrossing
 import Math.Combinat.Diagrams.Partitions.Plane
+import Math.Combinat.Diagrams.Partitions.Skew
 import Math.Combinat.Diagrams.Tableaux
+import Math.Combinat.Diagrams.Tableaux.Skew
 import Math.Combinat.Diagrams.Trees.Binary
 
 --------------------------------------------------------------------------------

@@ -1,5 +1,17 @@ 
 -- | Lattice path diagrams
+--
+-- For example, the code:
+--
+-- >  let u = UpStep
+-- >      d = DownStep
+-- >      path = [ u,u,d,u,u,u,d,u,d,d,u,d,u,u,u,d,d,d,d,d,u,d,u,u,d,d ]     
+-- >  drawLatticePath $ path
+--
+-- produces the diagram:
+--
+-- <<svg/dyck_path.svg>>
+--
 
 {-# LANGUAGE FlexibleContexts #-}
 module Math.Combinat.Diagrams.LatticePaths where
@@ -8,9 +20,10 @@ 
 import Math.Combinat.LatticePaths
 
--- import Data.Monoid
-import Data.VectorSpace
+import Linear.Vector
+
 import Data.Colour
+
 import Diagrams.Core
 import Diagrams.Prelude
 
@@ -25,16 +38,16 @@ --------------------------------------------------------------------------------
 
 -- | Draws a lattice path with the default settings
-drawLatticePath :: Renderable (Path R2) b => LatticePath -> Diagram b R2
+drawLatticePath :: Renderable (Path V2 Double) b => LatticePath -> QDiagram b V2 Double Any
 drawLatticePath = drawLatticePath' Hilly red True
 
 drawLatticePath' 
-  :: Renderable (Path R2) b
+  :: Renderable (Path V2 Double) b
   => LatticeConvention        -- ^ orientation
   -> Colour Double            -- ^ color
   -> Bool                     -- ^ whether to draw a grid
   -> LatticePath              -- ^ whether to draw a grid
-  -> Diagram b R2
+  -> QDiagram b V2 Double Any
 drawLatticePath' convention color hasgrid xs = 
   if hasgrid 
     then path <> grid 
@@ -68,7 +81,7 @@ --------------------------------------------------------------------------------
    
 -- | Draws a rectangular grid of the given size
-drawRectangularGrid :: Renderable (Path R2) b => (Int,Int) -> Diagram b R2
+drawRectangularGrid :: Renderable (Path V2 Double) b => (Int,Int) -> QDiagram b V2 Double Any
 drawRectangularGrid (x,y) = grid # lc grey where
   grid = horiz <> vert 
 

@@ -1,5 +1,14 @@ 
--- | Young and Ferrers diagrams for integer partitions
+-- | Young and Ferrers diagrams for integer partitions.
+--
+-- For example the code
+--
+-- > drawFerrersDiagram' EnglishNotation red True $ Partition [8,6,3,3,1]
+--
+-- produces the diagram:
+--
+-- <<svg/ferrers.svg>>
+--
 
 {-# LANGUAGE FlexibleContexts #-}
 module Math.Combinat.Diagrams.Partitions.Integer where
@@ -8,9 +17,10 @@ 
 import Math.Combinat.Partitions.Integer
 
--- import Data.Monoid
-import Data.VectorSpace
+import Linear.Vector
+
 import Data.Colour
+
 import Diagrams.Core
 import Diagrams.Prelude
 
@@ -29,7 +39,7 @@ 
 --------------------------------------------------------------------------------
 
-partitionConventionTransformation :: PartitionConvention -> Diagram b R2 -> Diagram b R2
+partitionConventionTransformation :: PartitionConvention -> QDiagram b V2 Double Any -> QDiagram b V2 Double Any
 partitionConventionTransformation conv what = 
   case conv of
     EnglishNotation    ->                    what
@@ -39,17 +49,18 @@ --------------------------------------------------------------------------------
 
 -- | Draws a Ferrers diagram with the default settings (English notation, no boxes)
-drawFerrersDiagram :: Renderable (Path R2) b => Partition -> Diagram b R2
+drawFerrersDiagram :: Renderable (Path V2 Double) b => Partition -> QDiagram b V2 Double Any
 drawFerrersDiagram = drawFerrersDiagram' EnglishNotation black False 
 
 
 drawFerrersDiagram' 
-  :: Renderable (Path R2) b
+  :: Renderable (Path V2 Double) b
   => PartitionConvention      -- ^ orientation
   -> Colour Double            -- ^ color
   -> Bool                     -- ^ whether to draw the boxes
   -> Partition
-  -> Diagram b R2
+  -> QDiagram b V2 Double Any
+
 drawFerrersDiagram' convention color hasgrid part = 
   if hasgrid 
     then balls <> boxes
@@ -76,14 +87,14 @@ --------------------------------------------------------------------------------
 
 -- | Draws a partition as a grid of boxes (sometimes also called Young diagram)
-drawPartitionBoxes :: Renderable (Path R2) b => PartitionConvention -> Partition -> Diagram b R2
+drawPartitionBoxes :: Renderable (Path V2 Double) b => PartitionConvention -> Partition -> QDiagram b V2 Double Any
 drawPartitionBoxes conv part = partitionConventionTransformation conv boxes
 
   where
 
     linewidth = 0.05
 
-    boxes = boxes0 # lc black # lwL linewidth
+    boxes = boxes0 # lwL linewidth          -- lc black 
 
     boxes0
       | null ps   = mempty
@@ -94,8 +105,8 @@ 
     f xs = head xs : xs
 
-    horiz = mconcat [ translateY (fromIntegral (-i)) (hline j) | (i,j) <- zip [0..]  (f ps) ]
-    vert  = mconcat [ translateX (fromIntegral   j ) (vline i) | (i,j) <- zip (f qs) [0..]  ]
+    horiz = mconcat [ translateY (fromIntegral (-i)) (hline j) | (i,j) <- zip [(0::Int)..]  (f ps) ]
+    vert  = mconcat [ translateX (fromIntegral   j ) (vline i) | (i,j) <- zip (f qs) [(0::Int)..]  ]
 
     hline x = fromOffsets [ (fromIntegral x) *^ unitX  ]
     vline y = fromOffsets [ (fromIntegral y) *^ unit_Y ]

@@ -1,17 +1,27 @@ 
 -- | Diagrams of non-crossing partitions
+--
+-- The code
+--
+-- > drawNonCrossingCircleDiagram' orange True $ NonCrossing [[3],[5,4,2],[7,6,1],[9,8]]
+--
+-- produces the diagram
+--
+-- <<svg/noncrossing.svg>>
+--
 
-{-# LANGUAGE FlexibleContexts #-}
+{-# LANGUAGE FlexibleContexts, TypeFamilies #-}
 module Math.Combinat.Diagrams.Partitions.NonCrossing where
 
 --------------------------------------------------------------------------------
 
 import Math.Combinat.Partitions.NonCrossing
 
--- import Data.Monoid
-import Data.AffineSpace
-import Data.VectorSpace
+import Linear.Vector
+import Linear.Affine
+
 import Data.Colour
+
 import Diagrams.Core
 import Diagrams.Prelude
 import Diagrams.TwoD.Text
@@ -20,16 +30,16 @@ 
 
 -- | Draws a Ferrers diagram with the default settings (English notation, no boxes)
-drawNonCrossingCircleDiagram :: (Renderable (Path R2) b, Renderable Text b) => NonCrossing -> Diagram b R2
+drawNonCrossingCircleDiagram :: (Renderable (Path V2 Double) b, Renderable (Text Double) b) => NonCrossing -> QDiagram b V2 Double Any
 drawNonCrossingCircleDiagram = drawNonCrossingCircleDiagram' grey False
 
 
 drawNonCrossingCircleDiagram' 
-  :: (Renderable (Path R2) b, Renderable Text b)
+  :: (Renderable (Path V2 Double) b, Renderable (Text Double) b)
   => Colour Double            -- ^ color
   -> Bool                     -- ^ whether to write numbers from @[1..n]@ next to the set elements
   -> NonCrossing
-  -> Diagram b R2
+  -> QDiagram b V2 Double Any
 drawNonCrossingCircleDiagram' color hasnumbers (NonCrossing nc) = final where
    
   final  = xdots <> xparts <> xcirc <> (if hasnumbers then numbers else mempty)
@@ -50,20 +60,20 @@   n  = length $ concat nc
   fn = fromIntegral n
 
-  r2p2 :: R2 -> P2 
+  r2p2 :: V2 Double -> P2 Double
   r2p2 v = origin .+^ v
 
-  p2r2 :: P2 -> R2
+  p2r2 :: P2 Double -> V2 Double
   p2r2 p = p .-. origin
 
   numbers = mconcat ns # lw none # fc blue 
   ns = [ translate v (scale 0.3 $ translate (r2 (0,-0.35)) $ text (show i)) 
        | (i,v) <- zip [1..n] (verticesR superradius) ] 
 
-  verticesR :: Double -> [R2]
+  verticesR :: Double -> [V2 Double]
   verticesR r = [ r2 (r * sin phi , r * cos phi) | i <- [0..n-1] , let phi = fromIntegral i * 2*pi/fn ]
 
-  verticesP :: Double -> [P2]
+  verticesP :: Double -> [P2 Double]
   verticesP r = map r2p2 (verticesR r)
 
   vtxs = verticesP radius  
@@ -82,7 +92,7 @@ 
 --------------------------------------------------------------------------------
 
-makeRoundedPolygonCCW :: Renderable (Path R2) b => Double -> [P2] -> Diagram b R2
+makeRoundedPolygonCCW :: Renderable (Path V2 Double) b => Double -> [P2 Double] -> QDiagram b V2 Double Any
 makeRoundedPolygonCCW radius xs = 
 
   case xs of 
@@ -104,22 +114,26 @@ 
     go (p:rest@(q:r:_)) = [ mySeg `mappend` myArc ] : go rest where
       mySeg = trailFromOffsets [u]
-      myArc = arc' radius (ua' @@ rad) (va' @@ rad)
+
+      myArc = scale radius arcCCW (angleDir angle1) (angleDir angle2)     
+
       u = q .-. p
       v = r .-. q
       (ux,uy) = unr2 u
       (vx,vy) = unr2 v
       ua = atan2 uy ux
       va = atan2 vy vx 
-      ua' = ua - pi/2    
-      va' = va - pi/2    
+      ua' = ua - pi/2  :: Double 
+      va' = va - pi/2  :: Double
+      angle1 = ua' @@ rad :: Angle Double
+      angle2 = va' @@ rad :: Angle Double  
       -- nx = radius *^ r2 (cos ua' , sin ua')
     go _ = []
 
-    r2p2 :: R2 -> P2 
+    r2p2 :: V2 Double -> P2 Double
     r2p2 v = origin .+^ v
 
-    p2r2 :: P2 -> R2
+    p2r2 :: P2 Double -> V2 Double
     p2r2 p = p .-. origin
 
 --------------------------------------------------------------------------------

@@ -1,5 +1,21 @@ 
--- | Drawing plane partitions
+-- | Drawing plane partitions.
+--
+-- For example:
+--
+-- > drawPlanePartition3D $ 
+-- >   PlanePart [ [5,4,3,3,1]
+-- >             , [4,4,2,1]
+-- >             , [3,2]
+-- >             , [2,1]
+-- >             , [1]
+-- >             , [1]
+-- >             ]
+-- 
+-- produces the picture:
+--
+-- <<svg/plane_partition.svg>>
+--
 
 {-# LANGUAGE FlexibleContexts, TypeFamilies #-}
 module Math.Combinat.Diagrams.Partitions.Plane where
@@ -11,9 +27,9 @@ 
 import Math.Combinat.Diagrams.Tableaux as Tableaux
 
--- import Data.Monoid
-import Data.AffineSpace
-import Data.VectorSpace
+import Linear.Vector
+import Linear.Affine
+
 import Data.Colour
 import Diagrams.Core
 import Diagrams.Prelude
@@ -21,12 +37,15 @@ 
 --------------------------------------------------------------------------------
 
-drawPlanePartition3D :: (Renderable (Path R2) b) => PlanePart -> Diagram b R2
+drawPlanePartition3D :: (Renderable (Path V2 Double) b) => PlanePart -> QDiagram b V2 Double Any
 drawPlanePartition3D = drawPlanePartition3D' (cadetblue,indianred,lawngreen)
 
 -- | Draws 3D-like (but in fact 2D) diagram of a plane partition, coloring the faces with the given colors
 --
-drawPlanePartition3D' :: (Renderable (Path R2) b) => (Colour Double, Colour Double, Colour Double) -> PlanePart -> Diagram b R2
+drawPlanePartition3D' 
+  :: (Renderable (Path V2 Double) b) 
+  => (Colour Double, Colour Double, Colour Double) 
+  -> PlanePart -> QDiagram b V2 Double Any
 drawPlanePartition3D' (col1,col2,col3) pp@(PlanePart pps) = final where
 
   final  =  leftSides  # fc col1 # lwL linewidth
@@ -38,21 +57,21 @@   linewidth = 0.05 :: Double
 
   dir_top   = unitY
-  dir_left  = fromDirection ( 210  @@ deg)
-  dir_right = fromDirection ((-30) @@ deg)
+  dir_left  = fromDirection (angleDir $  210  @@ deg)
+  dir_right = fromDirection (angleDir $ (-30) @@ deg)
 
-  ndir_top   = negateV dir_top
-  ndir_left  = negateV dir_left
-  ndir_right = negateV dir_right
+  ndir_top   = negated dir_top
+  ndir_left  = negated dir_left
+  ndir_right = negated dir_right
 
   leftSides  = mconcat $ zipWith lefts  [0..] layers
   rightSides = mconcat $ zipWith rights [0..] layers
  
   topSides   = mconcat $ map tops [1..planePartZHeight pp]
 
-  iscale i v = if i /= 0 then scale (fromIntegral i) v else zeroV 
+  iscale i v = if i /= 0 then scale (fromIntegral i) v else zero
 
-  tr :: (Transformable t, V t ~ R2) => Int -> Int -> Int -> t -> t
+  tr :: (Transformable t, V t ~ V2, N t ~ Double) => Int -> Int -> Int -> t -> t
   tr i j k = translate ( iscale i dir_right ^+^
                          iscale j dir_left  ^+^
                          iscale k dir_top   )
@@ -69,7 +88,7 @@ --------------------------------------------------------------------------------
 
 -- | Draws a plane partitions as a tablaeux, with numbers indicating the Z height
-drawPlanePartition2D :: (Renderable (Path R2) b, Renderable Text b) => PlanePart -> Diagram b R2
+drawPlanePartition2D :: (Renderable (Path V2 Double) b, Renderable (Text Double) b) => PlanePart -> QDiagram b V2 Double Any
 drawPlanePartition2D = Tableaux.drawTableau . fromPlanePart
 
 --------------------------------------------------------------------------------

@@ -0,0 +1,142 @@+
+-- | Young and Ferrers diagrams for skew partitions.
+--
+-- For example, the code
+--
+-- > skew = mkSkewPartition ( Partition [9,7,3,2,2,1] , Partition [5,3,2,1] )
+-- > drawSkewFerrersDiagram skew
+--
+-- produces
+--
+-- <<svg/skew.svg>>
+--
+
+{-# LANGUAGE FlexibleContexts, ScopedTypeVariables #-}
+module Math.Combinat.Diagrams.Partitions.Skew where
+
+--------------------------------------------------------------------------------
+
+import Math.Combinat.Partitions.Integer
+import Math.Combinat.Partitions.Skew
+
+import Math.Combinat.Diagrams.Partitions.Integer
+
+import Linear.Vector
+
+import Data.Colour
+
+import Diagrams.Core
+import Diagrams.Prelude
+
+--------------------------------------------------------------------------------
+
+-- | Draws a Ferrers diagram with the default settings (English notation, no inner boxes)
+drawSkewFerrersDiagram :: Renderable (Path V2 Double) b => SkewPartition -> QDiagram b V2 Double Any
+drawSkewFerrersDiagram = drawSkewFerrersDiagram' EnglishNotation black True (True,False) 
+
+-- | Example:
+--
+-- <<svg/skew2.svg>>
+--
+drawSkewFerrersDiagram' 
+  :: forall b. Renderable (Path V2 Double) b
+  => PartitionConvention      -- ^ orientation
+  -> Colour Double            -- ^ color
+  -> Bool                     -- ^ whether to draw the corner
+  -> (Bool,Bool)              -- ^ whether to draw the outer resp. inner boxes
+  -> SkewPartition
+  -> QDiagram b V2 Double Any
+
+drawSkewFerrersDiagram' convention color cornerGrid (outerGrid,innerGrid) skewPart = diag where
+
+    diag =  (if outerGrid                   then outerBoxes  else mempty)
+         <> (if innerGrid                   then innerBoxes  else mempty)
+         <> (if cornerGrid && not innerGrid then cornerLines else mempty)
+         <> balls 
+    innerCol = lightgray
+    outerCol = black
+
+    linewidth = 0.05
+    cornerLines = (lines # lwL linewidth # lc innerCol) where
+      (x,y) = heightWidth $ outerPartition skewPart
+      lines = fromOffsets [ (fromIntegral x) *^ unitX  ] <>
+              fromOffsets [ (fromIntegral y) *^ unit_Y ]
+
+    innerBoxes = drawPartitionBoxes     convention (innerPartition skewPart) # lc innerCol  
+    outerBoxes = drawSkewPartitionBoxes convention                 skewPart  # lc outerCol 
+
+    pps :: [(Int,Int)]
+    SkewPartition pps = skewPart 
+    n = length pps 
+    
+    balls = partitionConventionTransformation convention balls0
+
+    balls0 = mconcat [ ball j i | i<-[0..n-1], let (x,w) = pps!!i , j <-[x..x+w-1] ]
+           # lc color
+
+    ball x y = translate (r2 (0.5 + fromIntegral x, - 0.5 - fromIntegral y)) 
+             $ circle ballRadius # lwL ballLinewidth # lc black # fc color
+          
+    ballRadius = 0.30
+    ballLinewidth  = 0.025
+
+--------------------------------------------------------------------------------
+
+-- | Draws a skew partition as a grid of boxes (sometimes also called Young diagram).
+-- We draw the both the inner and the outer partition, in different colors.
+drawSkewPartitionBoxesWithInner 
+  :: forall b. Renderable (Path V2 Double) b 
+  => (Colour Double, Colour Double)              -- ^ colors of the outer resp. inner partitions
+  -> PartitionConvention -> SkewPartition 
+  -> QDiagram b V2 Double Any
+drawSkewPartitionBoxesWithInner (innerCol,outerCol) conv skew = outer <> inner where
+  inner = drawPartitionBoxes     conv (innerPartition skew) # lc innerCol
+  outer = drawSkewPartitionBoxes conv                 skew  # lc outerCol  
+
+--------------------------------------------------------------------------------
+
+-- | Draws a skew partition as a grid of boxes (sometimes also called Young diagram).
+-- We only draw the boxes of the difference!
+--
+-- Example:
+--
+-- <<svg/skew3.svg>>
+--
+
+drawSkewPartitionBoxes 
+  :: forall b. Renderable (Path V2 Double) b 
+  => PartitionConvention 
+  -> SkewPartition 
+  -> QDiagram b V2 Double Any
+drawSkewPartitionBoxes conv skewPart = partitionConventionTransformation conv boxes
+
+  where
+
+    linewidth = 0.05
+
+    boxes = boxes0 # lwL linewidth        -- lc black 
+
+    boxes0
+      | null pps  = mempty
+      | otherwise = horiz <> vert 
+
+    pps, qqs :: [(Int,Int)]
+    SkewPartition pps =                   skewPart 
+    SkewPartition qqs = dualSkewPartition skewPart 
+
+    union (a,b) (c,d) = (min a c , max (a+b) (c+d) - min a c)
+    f xs = head xs : zipWith union xs (tail xs) ++ [last xs]
+
+    fi :: Int -> Double
+    fi = fromIntegral
+
+    horiz = mconcat [ translateY (fi (-i)) (hline x w) | (i,(x,w)) <- zip [(0::Int)..] (f pps) , w>0 ]
+    vert  = mconcat [ translateX (fi   j ) (vline y h) | (j,(y,h)) <- zip [(0::Int)..] (f qqs) , h>0 ]
+
+    hline, vline :: Int -> Int -> QDiagram b V2 Double Any
+    hline x w = translateX (fi   x ) $ fromOffsets [ (fi w) *^ unitX  ]
+    vline y h = translateY (fi (-y)) $ fromOffsets [ (fi h) *^ unit_Y ]
+
+--------------------------------------------------------------------------------
+
+  

@@ -1,7 +1,20 @@ 
--- | Tableau diagrams
+-- | Tableau diagrams.
+--
+-- For example, the code
+--
+-- >  drawTableau $ 
+-- >    [ [ 1 , 3 , 4 , 6 , 7 ]
+-- >    , [ 2 , 5 , 8 ,10 ]
+-- >    , [ 9 ]
+-- >    ]
+--
+-- produces the diagram
+--
+-- <<svg/young_tableau.svg>>
+-- 
 
-{-# LANGUAGE FlexibleContexts #-}
+{-# LANGUAGE FlexibleContexts, TypeFamilies #-}
 module Math.Combinat.Diagrams.Tableaux where
 
 --------------------------------------------------------------------------------
@@ -10,9 +23,10 @@ import Math.Combinat.Partitions
 import Math.Combinat.Diagrams.Partitions
 
--- import Data.Monoid
-import Data.VectorSpace
+import Linear.Vector
+
 import Data.Colour
+
 import Diagrams.Core
 import Diagrams.Prelude
 import Diagrams.TwoD.Text
@@ -20,19 +34,19 @@ --------------------------------------------------------------------------------
 
 -- | Draws a Ferrers diagram with the default settings (English notation, black)
-drawTableau :: (Renderable (Path R2) b, Renderable Text b) => Tableau Int -> Diagram b R2
+drawTableau :: (Renderable (Path V2 Double) b, Renderable (Text Double) b) => Tableau Int -> QDiagram b V2 Double Any
 drawTableau = drawTableau' EnglishNotation black  
 
 
 drawTableau' 
-  :: (Renderable (Path R2) b, Renderable Text b)
+  :: (Renderable (Path V2 Double) b, Renderable (Text Double) b)
   => PartitionConvention      -- ^ orientation
   -> Colour Double            -- ^ color
   -> Tableau Int
-  -> Diagram b R2
+  -> QDiagram b V2 Double Any
 drawTableau' convention color tableau = numbers <> boxes where
 
-  part = shape tableau
+  part = tableauShape tableau
 
   ps = fromPartition part :: [Int]
   n  = length ps 
@@ -40,7 +54,7 @@   numbers = mconcat [ number j i a | i<-[(0::Int)..n-1], (j,a)<-zip [(0::Int)..] (tableau!!i) ]
           # lc color
 
-  number  x y a = trafo x y $ scale 0.85 $ text (show a) # lw none # lc color # fc color 
+  number  x y a = trafo x y $ scale (0.85 :: Double) $ text (show a) # lw none # lc color # fc color 
 
   v = 0.22 :: Double
 

@@ -0,0 +1,73 @@++-- | Skew tableau diagrams.+--+-- <<svg/skew_tableau.svg>>+-- ++{-# LANGUAGE FlexibleContexts, TypeFamilies #-}+module Math.Combinat.Diagrams.Tableaux.Skew where++--------------------------------------------------------------------------------++import Math.Combinat.Partitions+import Math.Combinat.Partitions.Skew+import Math.Combinat.Tableaux.Skew++import Math.Combinat.Diagrams.Partitions.Skew++import Linear.Vector++import Data.Colour++import Diagrams.Core+import Diagrams.Prelude+import Diagrams.TwoD.Text++--------------------------------------------------------------------------------++-- | Draws a Ferrers diagram with the default settings (English notation, black)+drawSkewTableau +  :: (Renderable (Path V2 Double) b, Renderable (Text Double) b) +  => SkewTableau Int +  -> QDiagram b V2 Double Any+drawSkewTableau = drawSkewTableau' EnglishNotation black False+++drawSkewTableau' +  :: (Renderable (Path V2 Double) b, Renderable (Text Double) b)+  => PartitionConvention      -- ^ orientation+  -> Colour Double            -- ^ color of the numbers+  -> Bool                     -- ^ whether to draw the inner partition+  -> SkewTableau Int+  -> QDiagram b V2 Double Any+drawSkewTableau' convention color drawInner tableau = numbers <> boxes where++  skewPart = skewTableauShape tableau+  +  xas :: [(Int,[Int])]+  SkewTableau xas = tableau++  n = length xas+    +  numbers = mconcat [ number (j+x) i a | (i,(x,as)) <- zip [(0::Int)..n-1] xas , (j,a)<-zip [(0::Int)..] as ]+          # lc color++  number  x y a = trafo x y $ scale (0.85 :: Double) $ text (show a) # lw none # lc color # fc color ++  v = 0.22 :: Double++  trafo   x y   = case convention of+    EnglishNotation    -> translate (r2 (0.5 + fromIntegral x , - 1 + v - fromIntegral y)) +    EnglishNotationCCW -> translate (r2 (0.5 + fromIntegral y ,       v + fromIntegral x))+    FrenchNotation     -> translate (r2 (0.5 + fromIntegral x ,       v + fromIntegral y))                          ++  -- numberSize = 0.35  :: Double+  -- linewidth  = 0.025 :: Double++  boxes = if drawInner+    then drawSkewPartitionBoxesWithInner (lightgray,black) convention skewPart+    else drawSkewPartitionBoxes convention skewPart++--------------------------------------------------------------------------------++  

@@ -1,5 +1,11 @@ 
--- | Binary trees
+-- | Binary trees.
+--
+-- For example, @map drawBinTree_ (binaryTrees 4)@ produces the diagrams:
+--
+-- <<svg/bintrees.svg>>
+--
+--
 
 {-# LANGUAGE FlexibleContexts, ScopedTypeVariables #-}
 module Math.Combinat.Diagrams.Trees.Binary where
@@ -8,25 +14,26 @@ 
 import Math.Combinat.Trees.Binary
 
-import Data.VectorSpace
-import Data.Colour hiding ( atop )
+-- import Data.Colour hiding ( atop )
+
 import Diagrams.Core
+
 import Diagrams.Prelude
 
 --------------------------------------------------------------------------------
 
-drawBinTree_ :: forall a b. (Backend b R2, Renderable (Path R2) b ) => BinTree a -> Diagram b R2
+drawBinTree_ :: forall a b. (Backend b V2 Double, Renderable (Path V2 Double) b) => BinTree a -> QDiagram b V2 Double Any
 drawBinTree_ = go "." where
 
-  radius  = 0.25
-  radius1 = 0.15
+  radius  = 0.25 :: Double
+  radius1 = 0.15 :: Double
 
-  fx = 0.5
-  fy = 1
-  
-  linewidth = 0.04
+  fx = 0.5 :: Double
+  fy = 1.0 :: Double
+
+  linewidth = 0.04 :: Double
   
-  go :: String -> BinTree a -> Diagram b R2
+  go :: String -> BinTree a -> QDiagram b V2 Double Any
   go name t = (centerXY stuff # lwL linewidth) where
     stuff = case t of
       Leaf   _   -> square radius # named name # fc blue 
@@ -49,7 +56,7 @@ --------------------------------------------------------------------------------
 
 {-
-padX :: (Backend b R2, Monoid' m) => Double -> QDiagram b R2 m -> QDiagram b R2 m
+padX :: (Backend b V2 Double, Monoid' m) => Double -> QDiagram b V2 Double m -> QDiagram b V2 Double m
 padX s d = withEnvelope (d # scaleX s) d
 
 frame :: ( Backend b v, InnerSpace v, OrderedField (Scalar v), Monoid' m)
@@ -57,4 +64,4 @@ frame s d = setEnvelope (onEnvelope t (d^.envelope)) d
   where
     t f = \x -> f x + s
--}+-}

@@ -1,5 +1,5 @@ Name:                combinat-diagrams-Version:             0.1+Version:             0.2 Synopsis:            Graphical representations for various combinatorial objects Description:         Uses the @diagrams@ library to generate graphical                       representations of combinatorial objects from @@ -7,45 +7,46 @@ License:             BSD3 License-file:        LICENSE Author:              Balazs Komuves-Copyright:           (c) 2014 Balazs Komuves+Copyright:           (c) 2014-2015 Balazs Komuves Maintainer:          bkomuves (plus) hackage (at) gmail (dot) com Homepage:            http://code.haskell.org/~bkomuves/ Stability:           Experimental Category:            Math-Tested-With:         GHC == 7.8.3-Cabal-Version:       >= 1.6+Tested-With:         GHC == 7.10.2+Cabal-Version:       >= 1.18 Build-Type:          Simple -Flag base4-  Description: Base v4+extra-doc-files:     svg/*.svg ++extra-source-files:  svg/*.svg+                     svg/src/gen_figures.hs                     +extra-source-files:  test/Test.hs    Library -  if flag(base4)-    Build-Depends:       base >= 4 && < 5-    cpp-options:         -DBASE_VERSION=4-  else -    Build-Depends:       base >= 3 && < 4-    cpp-options:         -DBASE_VERSION=3+  Build-Depends:       base >= 4 && < 5    Build-Depends:       array, containers, transformers, -                       colour, vector-space,-                       diagrams-core, diagrams-lib,-                       combinat >= 0.2.7.0+                       colour, linear,+                       diagrams-core >= 1.3, diagrams-lib >= 1.3,+                       combinat >= 0.2.7.2    Exposed-Modules:     Math.Combinat.Diagrams                        Math.Combinat.Diagrams.LatticePaths-                       Math.Combinat.Diagrams.Tableaux                        Math.Combinat.Diagrams.Partitions                        Math.Combinat.Diagrams.Partitions.Integer                        Math.Combinat.Diagrams.Partitions.NonCrossing                        Math.Combinat.Diagrams.Partitions.Plane+                       Math.Combinat.Diagrams.Partitions.Skew+                       Math.Combinat.Diagrams.Tableaux+                       Math.Combinat.Diagrams.Tableaux.Skew                        Math.Combinat.Diagrams.Trees.Binary -  Extensions:          CPP, MultiParamTypeClasses, ScopedTypeVariables, -                       GeneralizedNewtypeDeriving, BangPatterns +  default-extensions:  CPP, BangPatterns, ScopedTypeVariables+  other-extensions:    MultiParamTypeClasses, GeneralizedNewtypeDeriving    Hs-Source-Dirs:      . -  ghc-options:         -Wall -fno-warn-unused-matches+  default-language:    Haskell2010+     

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@@ -0,0 +1,81 @@++-- | A script to generate the SVG figures in the documentation.+-- We use the @combinat-diagrams@ library for that.++module Main where++--------------------------------------------------------------------------------++import Math.Combinat.Partitions.Integer+import Math.Combinat.Partitions.Plane+import Math.Combinat.Partitions.NonCrossing+import Math.Combinat.Partitions.Skew+import Math.Combinat.Tableaux+import Math.Combinat.Tableaux.Skew+import Math.Combinat.LatticePaths+import Math.Combinat.Trees.Binary++import Math.Combinat.Diagrams.Partitions.Integer+import Math.Combinat.Diagrams.Partitions.Plane+import Math.Combinat.Diagrams.Partitions.NonCrossing+import Math.Combinat.Diagrams.Partitions.Skew+import Math.Combinat.Diagrams.Tableaux+import Math.Combinat.Diagrams.Tableaux.Skew+import Math.Combinat.Diagrams.LatticePaths+import Math.Combinat.Diagrams.Trees.Binary++import Diagrams.Core+import Diagrams.Prelude+import Diagrams.Backend.SVG++--------------------------------------------------------------------------------++export fpath size what = renderSVG fpath size $ pad 1.10 what++vcatSep = vcat' (with & sep .~ 1) +hcatSep = hcat' (with & sep .~ 1) ++boxSep m xs = pad 1.05 $ vcatSep $ map hcatSep $ yys where+  yys = go xs where+    go [] = []+    go zs = take m zs : go (drop m zs) ++padding fac diag = pad fac $ centerXY diag+margin  siz diag = hcat [ strutX siz , vcat [ strutY siz , centerXY diag , strutY siz ] , strutX siz ]++--------------------------------------------------------------------------------++main = do ++  export "plane_partition.svg" (mkWidth 320) $ margin 0.05 $ drawPlanePartition3D $+    PlanePart [[5,4,3,3,1],[4,4,2,1],[3,2],[2,1],[1],[1]] ++  export "noncrossing.svg" (mkWidth 256) $ padding 1.10 $ drawNonCrossingCircleDiagram' orange True $+    NonCrossing [[3],[5,4,2],[7,6,1],[9,8]]++  export "young_tableau.svg" (mkWidth 256) $ margin 0.05 $ drawTableau $ +    [ [ 1 , 3 , 4 , 6 , 7 ]+    , [ 2 , 5 , 8 ,10 ]+    , [ 9 ]+    ]++  let u = UpStep+      d = DownStep+      path = [ u,u,d,u,u,u,d,u,d,d,u,d,u,u,u,d,d,d,d,d,u,d,u,u,d,d ]     +  export "dyck_path.svg" (mkWidth 500) $ margin 0.05 $ drawLatticePath $ path+  -- print (pathHeight path, pathNumberOfZeroTouches path, pathNumberOfPeaks path)++  export "ferrers.svg" (mkWidth 256) $ margin 0.05 $ drawFerrersDiagram' EnglishNotation red True $+    Partition [8,6,3,3,1]++  export "bintrees.svg" (mkWidth 750) $ boxSep 7 $ map drawBinTree_ (binaryTrees 4)++  let skew = mkSkewPartition (Partition [9,7,3,2,2,1] , Partition [5,3,2,1])+  export "skew.svg"  (mkWidth 256) $ margin 0.05 $ drawSkewFerrersDiagram  skew+  export "skew2.svg" (mkWidth 256) $ margin 0.05 $ drawSkewFerrersDiagram' EnglishNotation green True (True,True) skew+  export "skew3.svg" (mkWidth 256) $ margin 0.05 $ drawSkewPartitionBoxes  EnglishNotation skew++  let skewtableau  = (semiStandardSkewTableaux 7 skew) !! 137+  export "skew_tableau.svg" (mkWidth 320) $ margin 0.05 $ drawSkewTableau' EnglishNotation blue True skewtableau++--------------------------------------------------------------------------------

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@@ -0,0 +1,80 @@+
+module Main where
+
+--------------------------------------------------------------------------------
+
+import Math.Combinat.LatticePaths
+import Math.Combinat.Tableaux
+import Math.Combinat.Tableaux.Skew
+import Math.Combinat.Partitions.Integer
+import Math.Combinat.Partitions.NonCrossing
+import Math.Combinat.Partitions.Plane
+import Math.Combinat.Partitions.Skew
+import Math.Combinat.Trees.Binary
+
+import Math.Combinat.Diagrams
+
+import Diagrams.Core
+import Diagrams.Prelude
+import Diagrams.Backend.SVG
+
+--------------------------------------------------------------------------------
+
+svgSize = mkWidth 1000
+
+vcatSep = vcat' (with & sep .~ 1) 
+hcatSep = hcat' (with & sep .~ 1) 
+
+boxSep xs = myPad 1.10 $ vcatSep $ map hcatSep $ yys where
+  nn = length xs
+  m = max 1 (ceiling $ sqrt $ (fromIntegral $ length xs :: Double))
+  yys = go xs where
+    go [] = []
+    go zs = take m zs : go (drop m zs) 
+
+myPad s = pad s . centerXY
+
+main = do
+  renderSVG "svg/dyckpaths.svg" svgSize $ boxSep $ map drawLatticePath $ dyckPaths 5
+  renderSVG "svg/latpaths.svg"  svgSize $ boxSep $ map (drawLatticePath' UpRight blue True) $ latticePaths (9,3)
+
+  renderSVG "svg/partitions.svg" svgSize $ boxSep $ map (drawFerrersDiagram' EnglishNotationCCW red True) $ partitions 7
+
+  let part = mkPartition [4,3,1]
+  renderSVG "svg/tableaux.svg" svgSize $ boxSep $ map (drawTableau' EnglishNotation red) $ standardYoungTableaux part
+  renderSVG "svg/tableau1.svg" svgSize $ boxSep $ map (drawTableau' EnglishNotation red) $ 
+    [ [[123,57,9,8,88],[99,6,66,2],[1,17,3]] 
+    , [[1,2,3,4,5],[6,7,8],[9,10]]
+    ]
+
+  renderSVG "svg/noncrossing.svg" svgSize $ boxSep $ map (drawNonCrossingCircleDiagram' green True) $ nonCrossingPartitions 5
+
+  renderSVG "svg/planepart.svg" svgSize $ boxSep $ map drawPlanePartition3D $ 
+    [ PlanePart [[5,4,3,3,1],[4,4,2,1],[3,2],[2,1],[1],[1],[1]] 
+    , PlanePart [[6,2,2,1,1],[3,1,1,1],[1]] 
+    , PlanePart [[2,1,1,1,1],[1,1,1,1],[1]] 
+    , PlanePart [[2,1],[1]] 
+    , PlanePart [[1,1,1,1,1],[1,1,1,1],[1]] 
+    , PlanePart [[6,2,2,1,1],[3,1,1,1],[1]] 
+    , PlanePart [[1]] 
+    ]
+
+  renderSVG "svg/bintree.svg" svgSize $ boxSep $ map (drawBinTree_) $ binaryTrees 5
+
+  let skew1 = mkSkewPartition (Partition [8,7,3,2,2,1] , Partition [5,3,3])
+      skew2 = mkSkewPartition (Partition [9,7,3,2,2,1] , Partition [5,3,2,1])
+  renderSVG "svg/skew.svg" svgSize $ boxSep $ 
+    [ drawSkewFerrersDiagram  skew1
+    , drawSkewFerrersDiagram' FrenchNotation green True (True,True) skew1
+    , drawSkewPartitionBoxes  EnglishNotationCCW skew1
+    , drawSkewFerrersDiagram  skew2
+    , drawSkewFerrersDiagram' FrenchNotation green True (True,True) skew2
+    , drawSkewPartitionBoxes  EnglishNotationCCW skew2
+    ]
+
+  let skewtableau  = (semiStandardSkewTableaux 7 skew2) !! 123
+      skewtableau2 = (semiStandardSkewTableaux 6 skew1) !! 223
+  renderSVG "svg/skewtableau.svg" svgSize $ boxSep $ 
+    [ drawSkewTableau  skewtableau
+    , drawSkewTableau' FrenchNotation red True skewtableau2
+    ]