# Hidden function to round up to specified significant digits
# Extended from code by JasonWang on stackoverflow at
# https://stackoverflow.com/questions/37583715/round-up-values-to-a-specific-significant-figure-in-r
my_ceiling <- function(x, s) {
num_string <- format(x, scientific=TRUE)
n <- strsplit(num_string, "e")
n1 <- sapply(n, function(x) as.numeric(x[1]))
n2 <- sapply(n, function(x) as.numeric(x[2]))
return(ceiling(n1*10^(s-1))/(10^(s-1)) * 10^(n2))
}
# Hidden function to round up to specified number of decimal points
ceiling_dec <- function(x, nd) {
omag <- 10^nd
return(ceiling(x*omag)/omag)
}
# Hidden function to solve for upper one-tailed confidence limit (1-a) of bpue
# when zero in observed effort n, given overdispersion index d
solveucl <- function(a, d, n) {
if (d==1) {
bpue <- -1 * log(a)/n
} else {
bpue <- -1*(d-1)*log(a)/(n*log(d))
}
return(bpue)
}
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