DescTools (version 0.99.37)

BinTree: Binary Tree

Description

Create a binary tree of a given number of nodes n. Can be used to organize a sorted numeric vector as a binary tree.

Usage

BinTree(n)
PlotBinTree(x, main="Binary tree", horiz=FALSE, cex=1.0, col=1, ...)

Arguments

n

integer, size of the tree

x

numeric vector to be organized as binary tree.

main

main title of the plot.

horiz

logical, should the plot be oriented horizontally or vertically. The latter is default.

cex

character extension factor for the labels.

col

color of the linesegments of the plot.

…

the dots are sent to Canvas.

Value

an integer vector of length n

Details

If we index the nodes of the tree as 1 for the top, 2--3 for the next horizontal row, 4--7 for the next, … then the parent-child traversal becomes particularly easy. The basic idea is that the rows of the tree start at indices 1, 2, 4, ….

BinTree(13) yields the vector c(8, 4, 9, 2, 10, 5, 11, 1, 12, 6, 13, 3, 7) meaning that the smallest element will be in position 8 of the tree, the next smallest in position 4, etc.

Examples

# NOT RUN {
BinTree(12)

x <- sort(sample(100, 24))
z <- PlotBinTree(x, cex=0.8)


# Plot example - Titanic data, for once from a somwhat different perspective
tab <- apply(Titanic, c(2,3,4), sum)
cprob <- c(1, prop.table(apply(tab, 1, sum))
           , as.vector(aperm(prop.table(apply(tab, c(1,2), sum), 1), c(2, 1)))
           , as.vector(aperm(prop.table(tab, c(1,2)), c(3,2,1)))
)

PlotBinTree(round(cprob[BinTree(length(cprob))],2), horiz=TRUE, cex=0.8,
            main="Titanic")
text(c("sex","age","survived"), y=0, x=c(1,2,3)+1)
# }