Nothing
#@x - vector of characteristics, e.g. perc. of blacks in
#each district
#@t - vector o fcharacteristics, e.g. perc. of people that voted in
#each district
#Computes the bounds for each precinct
bounds1 <- function(x,t,n){
#set basic values
homindx <- NULL
tx <- NULL
tomx <- NULL
LbetaB <- NULL
UbetaB <- NULL
LbetaW <- NULL
UbetaW <- NULL
omx = 1-x
Nb = x*n
Nw =omx*n
p = length(x)
homoindx <- ifelse(x==0, 1, 0)
homoindx <- ifelse(x==1, 2, homoindx)
#Heterogenous precincts
tx <- as.matrix(t/x)
tomx = as.matrix(t/omx)
tomxx <- as.matrix(tx-(omx/x))
txx <- as.matrix(tomx-x/(1-x))
LbetaB <- apply(tomxx, 1, function (x) max(0,x))
UbetaB <- apply(tx, 1, function (x) min(x,1))
LbetaW <- apply(txx, 1, function (x) max(0, x))
UbetaW <- apply(tomx, 1, function (x) min(x, 1))
#Homogenously black
bl <- homoindx==2
LbetaB[bl] = t[bl]
UbetaB[bl] = t[bl]
LbetaW[bl] = NA
UbetaW[bl] = NA
#Homogenously white
wh <- homoindx==1
LbetaB[wh] = NA
UbetaB[wh] = NA
LbetaW[wh] = t[wh]
UbetaW[wh] = t[wh]
return(cbind(LbetaB, UbetaB, LbetaW, UbetaW))
}
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