Nothing

```
VectorPos_bounds <-
function(x,V,bounds){
Npts=length(V)
if (length(x)==1){ # only one value per tip
X=rep(0,Npts)
if (x==bounds[2]){X[Npts]=1}
else {
nx=(Npts-1)*(x-bounds[1])/(bounds[2]-bounds[1])
ix=floor(nx)
ux=nx-ix
X[ix+2]=ux
X[ix+1]=1-ux
}
}
else {
# here we treat the case in which we do not have a single value but a vector of values measured
MAT=matrix(0,length(x),Npts)
for (i in 1:length(x)){ # problem with the recursive form here
if (x[i]==bounds[2]){MAT[i,Npts]=1}
else {
nx=(Npts-1)*(x[i]-bounds[1])/(bounds[2]-bounds[1])
ix=floor(nx)
ux=nx-ix
MAT[i,ix+2]=ux
MAT[i,ix+1]=1-ux
}
}
X=apply(MAT,2,mean) # and average them
}
return(X*(Npts-1)/(bounds[2]-bounds[1]))
}
```

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