create coordination matrix from zig zag path

I want to creat matrix with x and y coordiantion of zig zag path.

For example :

So the generated matrix should be like this:

A = [ o o

0 410

1 410

1 0

2 0

2 410

3 410

3 0

4 0

4 410

. ... ......]

let's say the x direction limit is 8 . How can we do this ?

Answer 1

[David Hill]

x=0:9;%xend odd only
y=[0;410;410;0];
A=[repelem(x',2),repmat(y,(x(end)+1)/2,1)];

[Islam Hassan]

Thanks a lot, but why the x limit can be only odd, is there nay way to make it odd or even?

[David Hill]

x=0:9;%xend odd only
y=[0;410;410;0];
A=[repelem(x',2),repmat(y,(x(end)+1)/2,1)];
A=A(1:2*(x(end)-1),:);%just eliminate last two rows for even

[Islam Hassan]

The idea that I will link this code to another code, and I do not know whether the number will be odd or even. Thus, I want somthing to work without depending on the type of number (odd or even).

[David Hill]

x=0:9;
y=[0;410;410;0];
if mod(x(end),2)==1
    A=[repelem(x',2),repmat(y,(x(end)+1)/2,1)];
else
    X=[x,x(end)+1];
    A=[repelem(X',2),repmat(y,(X(end)+1)/2,1)];
    A=A(1:2*X(end),:);
end

[Islam Hassan]

Thanks a lot that works

[Islam Hassan]

Sorry, I tried the below code you mentioned, however, it end with (9 0), however I want to end at (8 0).

So, for example if the x limit is 8 I want the generated matix to stop at ( 8 0), or if the x limit is 9, the matrix stop at (9 0)