# tidy

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##### Utilities to neaten permutation objects

Various utilities to neaten word objects by removing fixed elements

Keywords
symbolmath
##### Usage
tidy(x)
trim(x)
##### Arguments
x

Object of class word, or in the case of tidy(), coerced to class word

##### Details

Function trim() takes a word and, starting from the right, strips off columns corresponding to fixed elements until it finds a non-fixed element. This makes no sense for cycle objects; if x is of class cycle, an error is returned.

Function tidy() is more aggressive. This firstly removes all fixed elements, then renames the non-fixed ones to match the new column numbers. The map is an isomorphism (sic) with respect to composition.

##### Value

Returns an object of class word

##### Note

Results in empty (that is, zero-column) words if a vector of identity permutations is given

fixed,size,nicify_cyclist

• tidy
• trim
##### Examples
# NOT RUN {
tidy(as.cycle(5:3)+as.cycle(7:9))
as.cycle(tidy(c(as.cycle(1:2),as.cycle(6:7))))

nicify_cyclist(list(c(4,6), c(7), c(2,5,1), c(8,3)))

data(megaminx)
tidy(megaminx)  # has 120 columns, not 129
stopifnot(all(unique(sort(unlist(as.cycle(tidy(megaminx)),recursive=TRUE)))==1:120))

jj <- megaminx*megaminx[1]
stopifnot(identical(shape(jj),shape(tidy(jj))))  #tidy() does not change shape

# }

Documentation reproduced from package permutations, version 1.0-5, License: GPL-2

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