RosettaCodeData/Task/Tree-traversal/Forth/tree-traversal.fth
2023-07-01 13:44:08 -04:00

56 lines
1.3 KiB
Forth

\ binary tree (dictionary)
: node ( l r data -- node ) here >r , , , r> ;
: leaf ( data -- node ) 0 0 rot node ;
: >data ( node -- ) @ ;
: >right ( node -- ) cell+ @ ;
: >left ( node -- ) cell+ cell+ @ ;
: preorder ( xt tree -- )
dup 0= if 2drop exit then
2dup >data swap execute
2dup >left recurse
>right recurse ;
: inorder ( xt tree -- )
dup 0= if 2drop exit then
2dup >left recurse
2dup >data swap execute
>right recurse ;
: postorder ( xt tree -- )
dup 0= if 2drop exit then
2dup >left recurse
2dup >right recurse
>data swap execute ;
: max-depth ( tree -- n )
dup 0= if exit then
dup >left recurse
swap >right recurse max 1+ ;
defer depthaction
: depthorder ( depth tree -- )
dup 0= if 2drop exit then
over 0=
if >data depthaction drop
else over 1- over >left recurse
swap 1- swap >right recurse
then ;
: levelorder ( xt tree -- )
swap is depthaction
dup max-depth 0 ?do
i over depthorder
loop drop ;
7 leaf 0 4 node
5 leaf 2 node
8 leaf 9 leaf 6 node
0 3 node 1 node value tree
cr ' . tree preorder \ 1 2 4 7 5 3 6 8 9
cr ' . tree inorder \ 7 4 2 5 1 8 6 9 3
cr ' . tree postorder \ 7 4 5 2 8 9 6 3 1
cr tree max-depth . \ 4
cr ' . tree levelorder \ 1 2 3 4 5 6 7 8 9