Stacking on a multi-variable function

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Brett
Brett 2019-7-3
评论： Walter Roberson 2019-7-3
So, I am trying to build a plot from a multi-variable function. I plan to hold 2 variables constant while indexing the 3rd variable, but then for each index of the 3rd variable, i hold that 3rd variable constant and index the 2nd, so on and so forth for the first variable.
For example,
f(x,y,z) = x + y + z
f = x(1) + y(1) + z(1:10)
then, for each z index...
f = x(1) + y(1:10) + z(1)
and then...
f = x(1:10) + y(1) + z(1)
so essentially for this example, I would have 1000 data points. My idea was to do nested for loops, however I don't think this is the right approach.
  2 个评论
the cyclist
the cyclist 2019-7-3
I'm not quite sure what the inputs and outputs should be.
Is the input only the function itself? But you say you "have 1000 data points".
What is the output? A single plot? Three plots, one for each variable? Or do you need a plot for
f = x(1:10) + y(1) + z(1)
and
f = x(1:10) + y(2) + z(1)
and so on such that you have a thousand plots in total?
I, for one, need a lot of clarification before I could provide any help.
Brett
Brett 2019-7-3
编辑：Brett 2019-7-3
The inputs will be the 3 variables with specific ranges. The output will be the function itself, a singular number from the result of the 3 inputs.
You described it correctly, in that I will have 1000 points total for this example. From the plots I am ultimately trying to optimize the best combination of x,y,z for the highest output achievable.
I believe this might be possible in a mesh/surf plot and the highest point on the 3-d plot will be the most optimized combination, but I am not sure.

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回答（1 个）

Walter Roberson
Walter Roberson 2019-7-3
[X, Y, Z] = ndgrid(x, y, z);
F = X + Y + Z;
F will now be numel(x) by numel(y) by numel(z) . You can extract parts of it such as
squeeze(F(7,:,2))
You might also want to look at slice() or isosurface()
  5 个评论
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Brett
Brett 2019-7-3
Thank you, this has worked. Is there a way to plot the matrix I have recieved? It has given me a 2x24x24
Walter Roberson
Walter Roberson 2019-7-3
You can extract parts of it such as
squeeze(F(2,:,7))
You might also want to look at slice() or isosurface()

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