RootFinding[Parametric]
CellLocation
find the cell index of a given point
Calling Sequence
Parameters
Description
Examples
CellLocation(m, s)
CellLocation(m, p)
m
-
solution record, as returned by CellDecomposition
s
list of equations of the form parameter=rational number representing a point in parameter space
p
list of rational numbers representing a point in parameter space
The CellLocation command returns a non-negative integer, the index of the open cell in which the point lies, or if the point does not lie in any of the open cells of .
The CellLocation command determines the cell of in which the given point lies.
The point can be specified in two different formats:
as a list s of equations of the form parameter=rational number, or
as a list p of rational numbers, in which case the th parameter in m:-Parameters gets replaced by , for all .
This command is part of the RootFinding[Parametric] package, so it can be used in the form CellLocation(..) only after executing the command with(RootFinding[Parametric]). However, it can always be accessed through the long form of the command by using RootFinding[Parametric][CellLocation](..).
The point lies on the discriminant variety and therefore not in any open cell.
The point violates the inequality , and does not contain any cells in the negative half plane for .
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