Attempting a simple matrix value replacement. Could i get some help?

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im trying to write a script that says basically plots circles, but for radius less than sqrt(2) it plots lines. it seems like a simple task; where the vale of z(i,j) doesnt meet a condition, replace it with the corresponding value y(i,j)
(eg if z(3,2) is < 2, then z(3,2)=y(3,2))
currently i have:
clear all
X = 0:0.1:4;
Y = 0:0.1:4;
[x,y]=meshgrid(X,Y);
i = 1 : length(X);
j = 1 : length(Y);
z(i,j) = x(i,j).^2+y(i,j).^2;
z(z(i,j)<2)=y(i,j); %ie for values in z that are <2, they will be replaced by the corresponding values from the matrix y
contour(X,Y,z,5);
grid on;
however the problem is that it always returns the error:
> In an assignment A(I) = B, the number of elements in B and I must be the same.
any help please? the mathworks link on arrays doesnt help me

Accepted Answer

Andrei Bobrov
Andrei Bobrov on 14 Aug 2014
X = 0:0.1:4;
Y = 0:0.1:4;
[x,y]=meshgrid(X,Y);
z = x.^2+y.^2;
t = z<2;
z(t)=y(t);
grid on;
contour(X,Y,z,5);

More Answers (1)

Björn
Björn on 14 Aug 2014
That code with a two for-loops would have worked. In my code below I have taken the first z-equation outside the for-loop because it's faster.
clear all
X = 0:0.1:4;
Y = 0:0.1:4;
[x,y]=meshgrid(X,Y);
z=x.^2+y.^2;
for i = 1 : length(X);
for j = 1 : length(Y);
z(z(i,j)<2)=y(i,j); %ie for values in z that are <2, they will be replaced by the corresponding values from the matrix y
end
end
contour(X,Y,z,5);
grid on;
I'm sure there is a better way (maybe with the function find(z<2)) than doing this replacement with a for-loop, but I couldn't figure it out right now.

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