week6 camil: working positioning of lines by putting empties at left and right; remov...

diff --git a/fp2/week6/camil/BinSearchTree.dcl b/fp2/week6/camil/BinSearchTree.dcl
new file mode 100644 (file)
index 0000000..8b2ab3a
--- /dev/null
+++ b/fp2/week6/camil/BinSearchTree.dcl
@@ -0,0 +1,8 @@
+definition module BinSearchTree
+
+import StdClass
+import BinTree
+
+is_geordend     :: (BTree a) -> Bool | Ord a // meest algemene type
+is_gebalanceerd :: (BTree a) -> Bool | Ord a // meest algemene type
+insertTree :: a (BTree a) -> BTree a | Ord a
\ No newline at end of file

diff --git a/fp2/week6/camil/BinSearchTree.icl b/fp2/week6/camil/BinSearchTree.icl
new file mode 100644 (file)
index 0000000..83ca73b
--- /dev/null
+++ b/fp2/week6/camil/BinSearchTree.icl
@@ -0,0 +1,49 @@
+// Mart Lubbers, s4109503
+// Camil Staps, s4498062
+
+implementation module BinSearchTree
+
+import StdEnv
+import BinTree
+
+insertTree :: a (BTree a) -> BTree a | Ord a
+insertTree e BLeaf = BNode e BLeaf BLeaf
+insertTree e (BNode x le ri)
+| e <= x = BNode x (insertTree e le) ri
+| e >  x = BNode x le (insertTree e ri)
+
+deleteTree :: a (BTree a) -> (BTree a) | Eq, Ord a
+deleteTree e BLeaf = BLeaf
+deleteTree e (BNode x le ri)
+| e <  x = BNode x (deleteTree e le) ri
+| e == x = join le ri
+| e >  x = BNode x le (deleteTree e ri)
+where
+    join :: (BTree a) (BTree a) -> (BTree a)
+    join BLeaf b2 = b2
+    join b1 b2 = BNode x b1` b2
+    where
+        (x,b1`) = largest b1
+        
+        largest :: (BTree a) -> (a,(BTree a))
+        largest (BNode x b1 BLeaf) = (x,b1)
+        largest (BNode x b1 b2)   = (y,BNode x b1 b2`)
+        where
+            (y,b2`) = largest b2
+
+
+is_geordend :: (BTree a) -> Bool | Ord a // meest algemene type
+is_geordend BLeaf = True
+is_geordend (BNode x le ri) = (foldr (&&) True (map ((>) x) (members le))) && (foldr (&&) True (map ((<=) x) (members ri))) && is_geordend le && is_geordend ri
+where
+    members :: (BTree a) -> [a]
+    members BLeaf = []
+    members (BNode x le ri) = [x:(members le) ++ (members ri)]
+
+is_gebalanceerd :: (BTree a) -> Bool | Ord a // meest algemene type
+is_gebalanceerd BLeaf = True
+is_gebalanceerd (BNode x le ri) = abs ((depth le) - (depth ri)) <= 1 && is_gebalanceerd le && is_gebalanceerd ri
+where
+    depth :: (BTree a) -> Int
+    depth BLeaf = 0
+    depth (BNode x le ri) = max (depth le) (depth ri) + 1
\ No newline at end of file

diff --git a/fp2/week6/camil/BinSearchTreeImage.icl b/fp2/week6/camil/BinSearchTreeImage.icl
new file mode 100644 (file)
index 0000000..00ae8b1
--- /dev/null
+++ b/fp2/week6/camil/BinSearchTreeImage.icl
@@ -0,0 +1,75 @@
+module BinSearchTreeImage
+
+/* Instructions:
+
+(1) copy BinTree.(i/d)cl and BinSearchTree.(i/d)cl from Practicum to
+    {iTasks-SDK}\Experiments\SVG_tests\
+    
+(2) in these modules change the type
+
+    :: Tree a = Node a (Tree a) (Tree a) | Leaf
+    
+    to
+    
+    :: BTree a = BLeaf | BNode a (BTree a) (BTree a)   // ORDER OF DATACONSTRUCTORS IS ESSENTIAL!!
+    
+    and adapt the corresponding function definitions.
+    
+(3) this main file (BinSearchTreeImage.icl) must be in the same folder:
+    {iTasks-SDK}\Experiments\SVG_tests\
+    
+(4) create a new project and set de environment to 'iTasks'
+
+(5) Bring-Up-To-Date and start generated application
+
+(6) Open a browser and navigate to localhost.
+    The application creates two tasks:
+    (a) The task on the left allows you to enter subsequent elements that are inserted in the tree, one after another.
+    (b) The task on the right must be finished by you by writing the function treeImage. This function must render the tree structure in such a way
+        that Nodes of the same depth have the same y-coordinate, and the root having the smallest y-coordinate.
+*/
+
+import iTasks                                                          // de algemene iTask API
+import iTasks.API.Extensions.SVG.SVGlet                // specialiseer task editors
+from   StdFunc import flip
+
+import BinSearchTree                                           // type definition of Tree and sample trees z0 .. z8
+derive class iTask BTree
+
+Start                          :: *World -> *World
+Start world                    = startEngine [publish "/" (WebApp []) (\_ -> task)] world
+
+task                           :: Task [Int]
+task                           = withShared [] (\sharedList ->
+                                               (  (updateSharedInformation (Title "Edit list") [] sharedList <<@ ArrangeHorizontal)
+                                                  -||-
+                                                  (viewSharedInformation (Title "Tree view") [imageView treeImage` (\_ _ -> Nothing)] sharedList <<@ ArrangeHorizontal)
+                                               ) <<@ ArrangeHorizontal
+                                         ) <<@ FullScreen
+
+font                           = normalFontDef "Courier New" fonthoogte
+fonthoogte                     = 14.0
+
+treeImage`                     :: [Int] *TagSource -> Image m
+treeImage` nrs tags    = fst(treeImage (foldl (flip insertTree) BLeaf nrs) tags)
+
+TMargin = 10.0
+
+treeImage                      :: (BTree Int) *TagSource -> (Image m, *TagSource)
+treeImage BLeaf ts = (margin (px zero, px TMargin) (circle (px fonthoogte)), ts)
+treeImage (BNode x t1 t2) [(tg1, utg1),(tg2, utg2):ts]
+= (above (repeat AtMiddleX) [] [textbox, lines, subtrees] Nothing, ts2)
+       where
+               (i1, ts1) = treeImage t1 ts
+               (i2, ts2) = treeImage t2 ts1
+               subtrees = beside (repeat AtTop) [] [tag utg1 i1, tag utg2 i2] Nothing
+               box = rect (textxspan font (toString x)) (px fonthoogte) <@< {fill=toSVGColor "none"}
+               lines_with_subtrees = above (repeat AtMiddleX) [] [lines, subtrees] Nothing
+               textbox = overlay (repeat (AtMiddleX, AtMiddleY)) [] [box, text font (toString x)] Nothing
+               lines = beside (repeat AtBottom) [] [
+                       empty (((imagexspan tg1) /. 2) - ((imagexspan tg2) /. 2)) (px TMargin), // ignored if negative
+                       line Nothing Slash ((imagexspan tg2) /. 2) (px TMargin),
+                       line Nothing Backslash ((imagexspan tg1) /. 2) (px TMargin),
+                       empty (((imagexspan tg2) /. 2) - ((imagexspan tg1) /. 2)) (px TMargin)] // ignored if negative
+                       Nothing
+

diff --git a/fp2/week6/camil/BinTree.dcl b/fp2/week6/camil/BinTree.dcl
new file mode 100644 (file)
index 0000000..e8b1700
--- /dev/null
+++ b/fp2/week6/camil/BinTree.dcl
@@ -0,0 +1,16 @@
+definition module BinTree
+
+::  BTree a = BNode a (BTree a) (BTree a) | BLeaf
+
+t0 :: BTree Int
+t1 :: BTree Int
+t2 :: BTree Int
+t3 :: BTree Int
+t4 :: BTree Int
+t5 :: BTree Int
+t6 :: BTree Int
+t7 :: BTree Int
+
+//nodes  :: // meest algemene type
+//leaves :: // meest algemene type
+//diepte :: // meest algemene type

diff --git a/fp2/week6/camil/BinTree.icl b/fp2/week6/camil/BinTree.icl
new file mode 100644 (file)
index 0000000..0a16da5
--- /dev/null
+++ b/fp2/week6/camil/BinTree.icl
@@ -0,0 +1,38 @@
+implementation module BinTree
+
+import StdEnv
+
+::  BTree a = BNode a (BTree a) (BTree a) | BLeaf
+
+t0 :: BTree Int
+t0 = BLeaf
+t1 :: BTree Int
+t1 = BNode 4 t0 t0
+t2 :: BTree Int
+t2 = BNode 2 t0 t1
+t3 :: BTree Int
+t3 = BNode 5 t2 t0
+t4 :: BTree Int
+t4 = BNode 5 t2 t2
+t5 :: BTree Int
+t5 = BNode 1 BLeaf (BNode 2 BLeaf (BNode 3 BLeaf (BNode 4 BLeaf BLeaf)))
+t6 :: BTree Int
+t6 = BNode 1 (BNode 2 (BNode 3 (BNode 4 BLeaf BLeaf) BLeaf) BLeaf) BLeaf
+t7 :: BTree Int
+t7 = BNode 4 (BNode 1 BLeaf BLeaf) (BNode 5 (BNode 2 BLeaf BLeaf) BLeaf)
+
+//  2.
+//nodes :: // meest algemene type
+//nodes ...
+
+//Start = map nodes [t0,t1,t2,t3,t4,t5,t6,t7]
+
+//leaves :: // meest algemene type
+//leaves ...
+
+//Start = map leaves [t0,t1,t2,t3,t4,t5,t6,t7]
+
+//diepte :: // meest algemene type
+//diepte ...
+
+//Start = map diepte [t0,t1,t2,t3,t4,t5,t6,t7]