# BinaryRecursiveAggregate SΒΆ

aggcat.spad line 1129 [edit on github]

S: Type

A binary-recursive aggregate has 0, 1 or 2 children and serves as a model for a binary tree or a doubly-linked aggregate structure

- #: % -> NonNegativeInteger if % has finiteAggregate
from Aggregate

- =: (%, %) -> Boolean if S has BasicType and % has finiteAggregate or S has SetCategory
from BasicType

- ~=: (%, %) -> Boolean if S has BasicType and % has finiteAggregate or S has SetCategory
from BasicType

- any?: (S -> Boolean, %) -> Boolean if % has finiteAggregate
from HomogeneousAggregate S

- child?: (%, %) -> Boolean if S has BasicType
from RecursiveAggregate S

- children: % -> List %
from RecursiveAggregate S

- coerce: % -> OutputForm if S has CoercibleTo OutputForm
from CoercibleTo OutputForm

- count: (S -> Boolean, %) -> NonNegativeInteger if % has finiteAggregate
from HomogeneousAggregate S

- count: (S, %) -> NonNegativeInteger if S has BasicType and % has finiteAggregate
from HomogeneousAggregate S

- cyclic?: % -> Boolean
from RecursiveAggregate S

- distance: (%, %) -> Integer
from RecursiveAggregate S

- elt: (%, left) -> %
`elt(a, "left")`

(also written:`a.left`

) is equivalent to`left(a)`

.

- elt: (%, right) -> %
`elt(a, "right")`

(also written:`a.right`

) is equivalent to`right(a)`

.- elt: (%, value) -> S
from RecursiveAggregate S

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

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

- eval: (%, List S, List S) -> % if S has Evalable S and S has SetCategory
from InnerEvalable(S, S)

- eval: (%, S, S) -> % if S has Evalable S and S has SetCategory
from InnerEvalable(S, S)

- every?: (S -> Boolean, %) -> Boolean if % has finiteAggregate
from HomogeneousAggregate S

- latex: % -> String if S has SetCategory
from SetCategory

- leaf?: % -> Boolean
from RecursiveAggregate S

- leaves: % -> List S
from RecursiveAggregate S

- left: % -> %
`left(a)`

returns the left child.

- less?: (%, NonNegativeInteger) -> Boolean
from Aggregate

- map!: (S -> S, %) -> % if % has shallowlyMutable
from HomogeneousAggregate S

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

- max: % -> S if S has OrderedSet and % has finiteAggregate
from HomogeneousAggregate S

- max: ((S, S) -> Boolean, %) -> S if % has finiteAggregate
from HomogeneousAggregate S

- member?: (S, %) -> Boolean if S has BasicType and % has finiteAggregate
from HomogeneousAggregate S

- members: % -> List S if % has finiteAggregate
from HomogeneousAggregate S

- min: % -> S if S has OrderedSet and % has finiteAggregate
from HomogeneousAggregate S

- more?: (%, NonNegativeInteger) -> Boolean
from Aggregate

- node?: (%, %) -> Boolean if S has BasicType
from RecursiveAggregate S

- nodes: % -> List %
from RecursiveAggregate S

- parts: % -> List S if % has finiteAggregate
from HomogeneousAggregate S

- right: % -> %
`right(a)`

returns the right child.

- setchildren!: (%, List %) -> % if % has shallowlyMutable
from RecursiveAggregate S

- setelt!: (%, left, %) -> % if % has shallowlyMutable
`setelt!(a, "left", b)`

(also written`a.left := b`

) is equivalent to`setleft!(a, b)`

.

- setelt!: (%, right, %) -> % if % has shallowlyMutable
`setelt!(a, "right", b)`

(also written`a.right := b`

) is equivalent to`setright!(a, b)`

.- setelt!: (%, value, S) -> S if % has shallowlyMutable
from RecursiveAggregate S

- setleft!: (%, %) -> % if % has shallowlyMutable
`setleft!(a, b)`

sets the left child of`a`

to be`b`

.

- setright!: (%, %) -> % if % has shallowlyMutable
`setright!(a, b)`

sets the right child of`a`

to be`b`

.

- setvalue!: (%, S) -> S if % has shallowlyMutable
from RecursiveAggregate S

- size?: (%, NonNegativeInteger) -> Boolean
from Aggregate

- value: % -> S
from RecursiveAggregate S

BasicType if S has SetCategory or S has BasicType and % has finiteAggregate

CoercibleTo OutputForm if S has CoercibleTo OutputForm

Evalable S if S has Evalable S and S has SetCategory

InnerEvalable(S, S) if S has Evalable S and S has SetCategory

SetCategory if S has SetCategory