axiom-test 20170501-3 / usr / share / axiom-20170501 / input / bstree.input

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/usr/share/axiom-20170501/input/bstree.input is in axiom-test 20170501-3.

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)set break resume
)spool bstree.output
)set message test on
)set message auto off
)clear all

--S 1 of 12
lv := [8,3,5,4,6,2,1,5,7]
--R 
--R
--R   (1)  [8,3,5,4,6,2,1,5,7]
--R                                                  Type: List(PositiveInteger)
--E 1

--S 2 of 12
t := binarySearchTree lv
--R 
--R
--R   (2)  [[[1,2,.],3,[4,5,[5,6,7]]],8,.]
--R                                      Type: BinarySearchTree(PositiveInteger)
--E 2

--S 3 of 12
emptybst := empty()$BSTREE(INT)
--R 
--R
--R   (3)  []
--R                                              Type: BinarySearchTree(Integer)
--E 3

--S 4 of 12
t1 := insert!(8,emptybst)
--R 
--R
--R   (4)  8
--R                                              Type: BinarySearchTree(Integer)
--E 4

--S 5 of 12
insert!(3,t1)
--R 
--R
--R   (5)  [3,8,.]
--R                                              Type: BinarySearchTree(Integer)
--E 5

--S 6 of 12
leaves t
--R 
--R
--R   (6)  [1,4,5,7]
--R                                                  Type: List(PositiveInteger)
--E 6

--S 7 of 12
split(3,t)
--R 
--R
--R   (7)  [less= [1,2,.],greater= [[.,3,[4,5,[5,6,7]]],8,.]]
--IType: Record(less: BinarySearchTree PositiveInteger,greater: ...
--E 7

--S 8 of 12
insertRoot: (INT,BSTREE INT) -> BSTREE INT
--R 
--R                                                                   Type: Void
--E 8

--S 9 of 12
insertRoot(x, t) ==
    a := split(x, t)
    node(a.less, x, a.greater)
--R 
--R                                                                   Type: Void
--E 9

--S 10 of 12
buildFromRoot ls == reduce(insertRoot,ls,emptybst)
--R 
--R                                                                   Type: Void
--E 10

--S 11 of 12
rt := buildFromRoot reverse lv
--R 
--R   Compiling function buildFromRoot with type List(PositiveInteger) -> 
--R      BinarySearchTree(Integer) 
--R   Compiling function insertRoot with type (Integer,BinarySearchTree(
--R      Integer)) -> BinarySearchTree(Integer) 
--R
--R   (11)  [[[1,2,.],3,[4,5,[5,6,7]]],8,.]
--R                                              Type: BinarySearchTree(Integer)
--E 11

--S 12 of 12
(t = rt)@Boolean
--R 
--R
--R   (12)  true
--R                                                                Type: Boolean
--E 12 
)spool
)lisp (bye)

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