MATLAB: How to get fprintf to display several matrices at once while maintaining the desired order

fprintfmatrices

I'm having trouble getting the fprintf function to give me the output I want for a practice function I'm writing. The function is designed to accept vector input and convert the values into polar coordinates. It works fine, except that the line at the end where I want to display everything (x,y,r,and theta) in a labeled table rearranges their order. Allow me to use my code to demonstrate.
First, I should clarify that I'm using this as my input:
v =
     1     0
     1     1
     0     1
    -1     1
    -1     0
    -1    -1
     0     0
     0    -1
     1    -1
function M = polarv( v )
%Converts Cartesian coordinates into polar coordinates
%input:
% v = the vectors input into Matlab in i-j form
%output:
% r = radius
% theta = angle with horizontal in degrees
x = v(:,1);
y = v(:,2);
r = [];
angle = [];
for i = 1:length(v);
r = sqrt(x.^2+y.^2);
if (x(i)>0)
   angle(i) = atan(y(i)/x(i));
elseif ( x(i) < 0 & y(i) > 0)
    angle(i) = atan(y(i)/x(i))+pi;
elseif (x(i) == 0 & y(i) < 0)
    angle(i) = -pi/2;
elseif ( x(i) == 0 & y(i) > 0)
    angle(i) = pi/2;
elseif (x(i) < 0 & y(i) == 0)
    angle(i) = pi;
elseif (x(i) < 0 & y(i) < 0)
    angle(i) = atan(y(i)/x(i))-pi;
else
    angle(i) = 0;
end
end
theta = (angle*180/pi)';
M = [r,theta];
A = [x,y,r,theta];
fprintf(' x y r theta\n');
A
%fprintf(' %4.3f %4.3f %6.3f %4.2f\n', A);
end
The 'A' at the end is a workaround, to display those values properly because the final commented section isn't working as I would like it to. Here is what I want to see:
    1.0000         0    1.0000         0
    1.0000    1.0000    1.4142   45.0000
         0    1.0000    1.0000   90.0000
   -1.0000    1.0000    1.4142  135.0000
   -1.0000         0    1.0000  180.0000
   -1.0000   -1.0000    1.4142 -135.0000
         0         0         0         0
         0   -1.0000    1.0000  -90.0000
    1.0000   -1.0000    1.4142  -45.0000
Instead, I'm getting this when I run fprintf for A:
 1.000 1.000  0.000 -1.00
 -1.000 -1.000  0.000 0.00
 1.000 0.000  1.000 1.00
 1.000 0.000 -1.000 0.00
 -1.000 -1.000  1.000 1.41
 1.000 1.414  1.000 1.41
 0.000 1.000  1.414 0.00
 45.000 90.000 135.000 180.00
 -135.000 0.000 -90.000 -45.00
As you can see, it is displaying the values of x first, but left-to-right instead of top to bottom. I also have this problem when I use the four column vectors as separate arguments instead of using A. I have also tried using their transverses as inputs, with the same results.

Best Answer

My guess would be that this is because MATLAB uses column-major order, you could simply transpose the matrix you are sending to fprintf;
A = rand(5);
A
fprintf('%f %f %f %f %f\n',A') % Works properly
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