How do I plot a multivariate piecewise continuous function?

Question

Rohit Sinha 2022-4-6

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编辑： Bruno Luong 2022-4-7

Hi, I wish to plot a mesh and a contour of multivariate piecewise continuous functions but everytime I try something, I end up getting the wrong or no plot at all.

Here is a sample function that I have been trying to plot

which is a rhombic function and must lead to a rhombic contour.

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Rohit Sinha 2022-4-6

@Dyuman Joshi The range is mentioned in the problem statement in the conditions. For simplicity, x and y both lie between -1 and 1

Bruno Luong 2022-4-7

编辑：Bruno Luong 2022-4-7

The last and the first domain are intersecting so you have 2 different definitions of your function for example at x=0,y=-1, is f(x,y) = 0-1-1=-2 or 0+1-1=0?

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Answer 1

Dyuman Joshi 2022-4-7

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k=meshgrid(-1:0.01:1);
for i=1:size(k,1)
    for j=1:size(k,2)
        if k(i).. & k(j)..
            f(i,j)=..;
        elseif k(i).. & k(j)..
            f(i,j)=..;
        end
    end
end
surf(-1:0.01:1, -1:0.01:1, f)

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Answer 2

Torsten 2022-4-6

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Why don't you write a simple function for F with 4 if-statements for the 4 cases ?

function value = F(x,y)
  if x ... && y ...
    value = ...
  elseif x ... && y ...
    value = ...
  elseif x... && y ...
    value = ...
  elseif x ... && y ...
    value = ....
  else
   disp('x and/or y out of range')
  end
end