BinarySearchTree SΒΆ

tree.spad line 233 [edit on github]

BinarySearchTree(S) is the domain of binary trees where elements are ordered across the tree. A binary search tree is either empty or has a value which is an S, and a left and a right which are both BinarySearchTree(S).

#: % -> NonNegativeInteger

from Aggregate

=: (%, %) -> Boolean

from BasicType

~=: (%, %) -> Boolean

from BasicType

any?: (S -> Boolean, %) -> Boolean

from HomogeneousAggregate S

binarySearchTree: List S -> %

binarySearchTree(l) constructs a binary search tree with elements from list l.

child?: (%, %) -> Boolean

from RecursiveAggregate S

children: % -> List %

from RecursiveAggregate S

coerce: % -> OutputForm

from CoercibleTo OutputForm

copy: % -> %

from Aggregate

count: (S -> Boolean, %) -> NonNegativeInteger

from HomogeneousAggregate S

count: (S, %) -> NonNegativeInteger

from HomogeneousAggregate S

cyclic?: % -> Boolean

from RecursiveAggregate S

distance: (%, %) -> Integer

from RecursiveAggregate S

elt: (%, left) -> %

from BinaryRecursiveAggregate S

elt: (%, right) -> %

from BinaryRecursiveAggregate S

elt: (%, value) -> S

from RecursiveAggregate S

empty?: % -> Boolean

from Aggregate

empty: () -> %

from Aggregate

eq?: (%, %) -> Boolean

from Aggregate

eval: (%, Equation S) -> % if S has Evalable S

from Evalable S

eval: (%, List Equation S) -> % if S has Evalable S

from Evalable S

eval: (%, List S, List S) -> % if S has Evalable S

from InnerEvalable(S, S)

eval: (%, S, S) -> % if S has Evalable S

from InnerEvalable(S, S)

every?: (S -> Boolean, %) -> Boolean

from HomogeneousAggregate S

hash: % -> SingleInteger if S has Hashable

from Hashable

hashUpdate!: (HashState, %) -> HashState if S has Hashable

from Hashable

insert!: (S, %) -> %

insert!(x, b) inserts element x as a leave into binary search tree b.

insertRoot!: (S, %) -> %

insertRoot!(x, b) inserts element x as the root of binary search tree b.

latex: % -> String

from SetCategory

leaf?: % -> Boolean

from RecursiveAggregate S

leaves: % -> List S

from RecursiveAggregate S

left: % -> %

from BinaryRecursiveAggregate S

less?: (%, NonNegativeInteger) -> Boolean

from Aggregate

map!: (S -> S, %) -> %

from HomogeneousAggregate S

map: (S -> S, %) -> %

from HomogeneousAggregate S

max: % -> S

from HomogeneousAggregate S

max: ((S, S) -> Boolean, %) -> S

from HomogeneousAggregate S

member?: (S, %) -> Boolean

from HomogeneousAggregate S

members: % -> List S

from HomogeneousAggregate S

min: % -> S

from HomogeneousAggregate S

more?: (%, NonNegativeInteger) -> Boolean

from Aggregate

node?: (%, %) -> Boolean

from RecursiveAggregate S

node: (%, S, %) -> %

from BinaryTreeCategory S

nodes: % -> List %

from RecursiveAggregate S

parts: % -> List S

from HomogeneousAggregate S

right: % -> %

from BinaryRecursiveAggregate S

sample: %

from Aggregate

setchildren!: (%, List %) -> %

from RecursiveAggregate S

setelt!: (%, left, %) -> %

from BinaryRecursiveAggregate S

setelt!: (%, right, %) -> %

from BinaryRecursiveAggregate S

setelt!: (%, value, S) -> S

from RecursiveAggregate S

setleft!: (%, %) -> %

from BinaryRecursiveAggregate S

setright!: (%, %) -> %

from BinaryRecursiveAggregate S

setvalue!: (%, S) -> S

from RecursiveAggregate S

size?: (%, NonNegativeInteger) -> Boolean

from Aggregate

split: (S, %) -> Record(less: %, greater: %)

split(x, b) splits binary search tree b into two trees, one with elements less than x, the other with elements greater than or equal to x.

value: % -> S

from RecursiveAggregate S

Aggregate

BasicType

BinaryRecursiveAggregate S

BinaryTreeCategory S

CoercibleTo OutputForm

Evalable S if S has Evalable S

finiteAggregate

Hashable if S has Hashable

HomogeneousAggregate S

InnerEvalable(S, S) if S has Evalable S

RecursiveAggregate S

SetCategory

shallowlyMutable