Hello! How to make for loop for cycle calculation using previous coordinates to calculate next one, etc

Hello! I am trying to apply for loop. I have x0, y0, z0 coordinates and wrote a function to calculate next x1, y1, z1

I need to make for loop and the previous calculated result of x1, y1, z1 will be considered for the next cycle ( instead of x0, y0, z0) and so on (x2, y2, z2 will , number of cycle will be 5. I tried to do it. Could you please help me with my code. Thank you in advance

function [x1, y1, z1, F] = reflection(x0,y0,z0, Theta, Phi)

disp(x1);

disp(y1);

disp(z1);

disp(F);

end

And here is my for loop attempt

x0 = 1.5;

y0 = 1.5;

z0 = 3.0;

for ii=1:10

r1 = 1i;

r2 = 1i + 1;

reflection(x(ii), y(ii), z(ii));

end

[Dyuman Joshi]

You can call the function in a loop -

x0 = [1.5 zeros(1,10)];
y0 = [1.5 zeros(1,10)];
z0 = [3.0 zeros(1,10)];
for ii=2:11
    r1 = 1i;
    r2 = 1i + 1;
    [x0(ii),y0(ii),z0(ii),~]=reflection(x0(ii-1), y0(ii-1), z0(ii-1));
end

However, the function requires 5 inputs, of which 2 are missing from the function call above (Theta, Phi)

Also, what is the significance of r1 and r2 in the for loop?

Answer 1

[David Hill]

H,d,A,B,E,F are all constant, therefore your could do all iterations at once.

[x,y,z]=reflection(1.5,1.5,3,60,45,5)

x = 1×5

5.1742 8.8485 12.5227 16.1969 19.8712

y = 1×5

5.1742 8.8485 12.5227 16.1969 19.8712

z = 1×5

-4.3485 -11.6969 -19.0454 -26.3939 -33.7423

function [x, y, z] = reflection(x,y,z, Theta, Phi,n)%n=number of iterations
 n=1:n;
 H =  3;
 d = H /cos(Theta);
 A = (sind(Theta)* H)/cosd(Theta); 
 B = (sind(Phi)* sind(Theta)* H)/cosd(Theta);
 E = cosd(Phi) * sind(Theta)* H/cosd(Theta);
 F = (sind(Theta) * H/cosd(Theta))/sind(Phi);
 x = x + n*B;
 y = y + n*E;
 z = z - n*F;
end