# Why is the string below the first conditional not printed?

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Andromeda on 13 Nov 2021
Commented: dpb on 2 Dec 2021
I need help understanding why the string below the first conditional is not printed when AA, BB, CC are clearly equal. See attachment below ##### 2 CommentsShowHide 1 older comment
Andromeda on 14 Nov 2021
I tried if (AA == BB) == (CC ==1) first and that didn't produce the expected output and thus resorted to what you see above. Why doesn't if (AA == BB) == (CC ==1) work as well?
"if you would use arrays for variables instead of indivdually naming the variables ", care to give me an example?

Cris LaPierre on 14 Nov 2021
Edited: Cris LaPierre on 14 Nov 2021
Because the result of the dot products is not exactly 1.
A = [2 2 -1+4i]/5;
B = circshift(A,-1);
C = circshift(B,-1);
AA = dot(A,A)
AA = 1.0000
BB = dot(B,B)
BB = 1.0000
CC = dot(C,C)
CC = 1.0000
% now subtract 1. Result is not 0
AA-1
ans = 2.2204e-16
BB-1
ans = 2.2204e-16
CC-1
ans = 2.2204e-16
##### 2 CommentsShowHide 1 older comment
dpb on 2 Dec 2021
Floating point arithmetic is only an approximation to algebra...see <Goldberg - What Every Computer Scientist Should Know> for detailed explanation. There are some other discussions and examples in the documentation as well.