Godelproof Matlab 3D Plot question

[CaptainBlack]

I want to draw this surface on \([0,1]^3\):

\(z=x\) for \(x\geq y\) and \(z=y\) for \(y>x\)
I know "meshgrid" coupled with "surface" command allows you to draw \(z=x\) and \(z=y\), respectively. But I have no idea how to account for the inequalities.
Thanks.

The following is FreeMat code, but it should get you close enough in pure Matlab:

--> x=[0:0.1:1];
--> [X,Y]=meshgrid(x);
--> Z=X.*(X>=Y)+Y.*(X<Y);
--> surf(X,Y,Z);

CB

 

[Vailanor]

:x = 0:0.1:1; [X,Y] = meshgrid(x); Z = zeros(size(X)); idx = X>=Y;Z(idx) = X(idx);Z(~idx) = Y(~idx); surf(X,Y,Z)