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pointer = sorted(meshsites,sites)
Various commands in this toolbox need to determine the index
for which a
given
lies in the interval
, with
a given nondecreasing
sequence, e.g., a knot sequence. This job is done by sorted in
the following fashion.
pointer = sorted(meshsites,sites) is the integer row vector whose j-th entry equals the number of entries in meshsites that are ≤ ssites(j), with ssites the vector sort(sites). Thus, if both meshsites and sites are nondecreasing, then
meshsites(pointer(j)) ≤ sites(j) < meshsites(pointer(j)+1)
with the obvious interpretations when
pointer(j) < 1 or length(meshsites) < pointer(j) + 1
Specifically, having pointer(j) < 1 then corresponds to having sites(j) strictly to the left of meshsites(1), while having length(meshsites) < pointer(j)+1 then corresponds to having sites(j) at, or to the right of, meshsites(end).
The statement
sorted([1 1 1 2 2 3 3 3],[0:4])
will generate the output 0 3 5 8 8, as will the statement
sorted([3 2 1 1 3 2 3 1],[2 3 0 4 1])
The indexing output from sort([meshsites(:).',sites(:).']) is used.
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