get_start_of_exponential_growth <- function(curve, threshold = 5) {
len <- length(curve)
last_der <- curve[len] - curve[len-1]
accumulate <- 0.0
der_curve <- c()
for (i in (len-2):1) {
der <- curve[i+1] - curve[i]
if (der + 1 < last_der) {
accumulate <- accumulate + 1
last_der <- der
} else {
accumulate <- 0
last_der <- der
}
der_curve[i] <- accumulate
}
der_curve <- c(der_curve,0,0)
#plot(1:length(der_curve),der_curve)
for (i in len:2) {
if (der_curve[i] > threshold && der_curve[i-1] == 0) {
return(i)
break
}
}
return(NULL)
}
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