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#' Calculate the corrected Jaccard index between two vectors
#'
#' @param vec1 Vector of binary time series (no missing values)
#' @param vec2 Vector of binary time series (equal length as vec1, no missing values)
#'
#' @return list with two elements
#' @return \code{value} of the corrected Jaccard index and
#' @return \code{funName} name of the function
#' @export
#'
#' @examples data1<-rep(c(1,0,1,1),25)
#' data2<-ifelse(rnorm(100,0,1)<0.7,0,1)
#' funCorrJacc(data1,data2)
funCorrJacc<- function(vec1, vec2){
#Calculate classic Jaccard
bothone<-sum((vec1+vec2)==2)
bothzero<-sum((vec1+vec2)==0)
total<-length(vec1)
classJacc<-bothone/(total-bothzero)
#calculate expected Jaccard
p1<-mean(vec1)
p2<-mean(vec2)
expJacc<-(p1*p2)/(1-(1-p1)*(1-p2))
#Calculate corrected Jaccard
corrJacc=(classJacc-expJacc)/(1-expJacc)
funName <- 'Corrected Jaccard'
result <- list(corrJacc,funName)
names(result)<-c('value','funName')
return(result)
}
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