capply: Apply functions to elements of a cycle

In permutations: The Symmetric Group: Permutations of a Finite Set

Apply functions to elements of a cycle

Description

Function capply() means “cycle apply” and is modelled on lapply(). It applies a function to every element in the cycles of its argument.

Usage

capply(X, fun, ...)

Arguments

X	Permutation, coerced to cycle
fun	Function to be applied to each element of X
...	Further arguments to fun()

Details

This function is just a convenience wrapper really.

Value

Returns a permutation in cycle form

Note

Function allcyc() is a nice application of capply().

Author(s)

Robin K. S. Hankin

See Also

allcyc

Examples

(x <- rperm())
capply(x,function(x){x+100})
capply(x,rev)

all(is.id(capply(x,rev)*x))  # should be TRUE

capply(rcyc(20,5,9),sort)

capply(rcyc(20,5,9),sample)  # still 5-cycles


capply(cyc_len(1:9),\(x)x[x>4])

capply(cyc_len(1:9),\(x)x^2)

permutations documentation built on Sept. 11, 2024, 6:10 p.m.