Assigning a list of numbers to their corresponding cells in a mesh

Hello all,

I have the mesh as showing below. The cells index vector is right next to it.

If I have a vector of y values: , that has four elements. Each element corresponds to a vertical cell in the mesh where the x index of the first is 1, the second is 2, and so on. The cells that correspond to this y vector is:

I need to write a code that decide the cell for each of these elements and create a vector that contains them, as shown above. My attempt of doing it is as follwoing:

MidPoint = 4; %number of midpoints
ycells = 4; %number of cells on the y edge
Mid_y = [0.1250 0.3750 0.6250 0.8750]; %values of midpoints 
dy = 0.1250; %the step
y = [0.52 0.68 0.19 0.46] %the new set of y values that need to decide their cells
for i = 1:MidPoint
    for j = 1:ycells
        if y(i) <= Mid_y(j)+dy && y(i) >= Mid_y(j)-dy
            Cells = Cells(i*j)
        end
    end
end

Any help would be appreicted.

Thanks.

Answer 1

[Voss]

Is something like this what you're after?

MidPoint = 4; %number of midpoints
ycells = 4; %number of cells on the y edge
Mid_y = [0.1250 0.3750 0.6250 0.8750]; %values of midpoints 
dy = 0.1250; %the step
y = [0.52 0.68 0.19 0.46] %the new set of y values that need to decide their cells

y = 1×4

0.5200 0.6800 0.1900 0.4600

for i = 1:MidPoint
    for j = 1:ycells
        % have to decide how to handle the case that y(i) is on the edge
        % between two cells; don't want to count that as belonging to 
        % more than one cell, so use < and >= (or <= and >):
        if y(i) < Mid_y(j)+dy && y(i) >= Mid_y(j)-dy
            % assign 10*i+j to element i of Cell:
            Cells(i,1) = 10*i + j;
            % stop looking when you find the cell that y(i) belongs to:
            break
        end
    end
end

disp(Cells)

    13
    23
    31
    42