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j is used for the (known) x coordinates, i is used for all (inter/extrpolated) coordinates, the left x-coordinate is called s and the right x-coordinate is t.

so this checks to see if a shift to...

Hi,

Some pointers:

array P contains the array of points, x is the index
array I contains the sequence of x coordinates

These arrays get filled while processing the file
After that is done...

Hi, Try this:
awk '
{
P[$1]=$2
I[i++]=$1
}
END{
j=0; s=I[j]; t=I[j+1]
for(i=m;i<=n;i++){
if(I[j+2] && i>t){
j++; s=I[j]; t=I[j+1]
}
...