sortrows descend not working

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Sezer Yasar
Sezer Yasar on 4 Feb 2021
Commented: Sezer Yasar on 5 Feb 2021
Hello,
I have a matrix created in Matlab and I want to sort its rows in descending order, keeping the rows unchanged. Specifically, I want to sort rows according to value in the first column in descending order; if two rows have the same values in the first column, I want to sort the rows in descending order according to the value in the second column; and so on.
My matrix's name is "up2" and I am using the code "up2=sortrows(up2,'descend');" to obtain the sorted matrix. However, as the figure below shows sorting is not working. The figure is showing the sorted matrix after I run the code. The first four columns of rows 6 and 7 have the same values, so accroding to the values in column five row 6 should be below row 7, but it is not.
Can you please help to fix the problem? Thanks!
By the way, if it is related, col4=1-col5+col10 and col10=1-col8+col1.*log(col6+col9). When I copy the values of the first four columns here, the two rows seem to have exactly the same values:
col1 col2 col3 col4
1.20000000000000 0.100000000000000 0.200000000000000 0.832227738422948
1.20000000000000 0.100000000000000 0.200000000000000 0.832227738422948
  2 Comments
Stephen23
Stephen23 on 4 Feb 2021
"The first four columns of rows 6 and 7 have the same values..."
My guess is that they don't have the same values. Lets check properly, show us the output of this command:
up2(7,:) - up2(6,:)
Sezer Yasar
Sezer Yasar on 4 Feb 2021
Edited: Sezer Yasar on 4 Feb 2021
up2(7,:) - up2(6,:) is given below.
I also give up2(7,1:4) - up2(6,1:4) below, but the results are different. I did not understand it.
I also attcahed the up2 matrix as a mat file to my original message if it helps.
>> up2(7,:) - up2(6,:)
ans =
0 0 0 -0.0000 0.1000 0.1000 -0.1000 -0.1000 -0.1000 0.1000
>> up2(7,1:4) - up2(6,1:4)
ans =
1.0e-15 *
0 0 0 -0.1110

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Accepted Answer

the cyclist
the cyclist on 4 Feb 2021
My best guess is that the first four values are not exactly the same but differ by an amount around the floating point precision. What does
up2(7,1:4) - up2(6,1:4)
give?
(If you could upload the variable here, in a MAT file, that would be helpful for investigating.)
  3 Comments
the cyclist
the cyclist on 4 Feb 2021
Edited: the cyclist on 4 Feb 2021
(I hadn't seen @Stephen Cobeldick's comment when I posted my answer. I'm guessing we posted at nearly the same time.)
The values in up2(7,4) and up2(6,4) are different (as stored in memory). The problem is that some ways of displaying that difference are not precise enough to show it. Take a look at this code:
% Define a vector where one element is very tiny compared to the other
x = [1 2e-17];
% Display this vector with the default format. (Tiny value gets rounded to zero.)
format
x
x = 1×2
1.0000 0.0000
% Display both elements, in longer format. (There's still not enough precision.)
format long
x
x = 1×2
1.000000000000000 0.000000000000000
% Display *only* the tiny value, in default format. (Greater precision is displayed.)
format
x(2)
ans = 2.0000e-17
% Explicitly force display with more precision
sprintf('%22.18f',x)
ans = ' 1.000000000000000000 0.000000000000000020'
As in your vector, the tiny difference was obscured because of the display, but it was there.
Sezer Yasar
Sezer Yasar on 5 Feb 2021
Got it, thank you!

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