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how to return number of decimal places in R

I am working in R. I have a series of coordinates in decimal degrees, and I would like to sort these coordinates by how many decimal places these numbers have (i.e. I will want to discard coordinates that have too few decimal places).
Is there a function in R that can return the number of decimal places a number has, that I would be able to incorporate into function writing?
Example of input:

AniSom4     -17.23300000        -65.81700

AniSom5     -18.15000000        -63.86700

AniSom6       1.42444444        -75.86972

AniSom7       2.41700000        -76.81700

AniLac9       8.6000000        -71.15000

AniLac5      -0.4000000        -78.00000

I would ideally write a script that would discard AniLac9 and AniLac 5 because those coordinates were not recorded with enough precision. I would like to discard coordinates for which both the longitude and the latitude have fewer than 3 non-zero decimal values.

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You could write a small function for the task with ease, e.g.:

decimalplaces <- function(x) {
    if ((x %% 1) != 0) {
        nchar(strsplit(sub('0+$', '', as.character(x)), ".", fixed=TRUE)[[1]][[2]])
    } else {
        return(0)
    }
}

And run:

> decimalplaces(23.43234525)
[1] 8
> decimalplaces(334.3410000000000000)
[1] 3
> decimalplaces(2.000)
[1] 0

Update (Apr 3, 2018) to address @owen88's report on error due to rounding double precision floating point numbers -- replacing the x %% 1 check:

decimalplaces <- function(x) {
    if (abs(x - round(x)) > .Machine$double.eps^0.5) {
        nchar(strsplit(sub('0+$', '', as.character(x)), ".", fixed = TRUE)[[1]][[2]])
    } else {
        return(0)
    }
}

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