Strange result from comparison
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Stephen23
2022년 11월 17일
편집: Stephen23
2022년 11월 17일
"Why does this happen?"
Because of the accumulated floating point error. Lets have a look at the values involved, to a higher precision:
fprintf('%.64f\n',12*10^-3,0.012) % these look the same...
fprintf('%.64f\n',12*10^-4,0.0012) % but are these the same?
Always remember that:
- binary floating point arithmetic has some similarities to the algebra and arithmetic that you learned at school, but it is definitely not the same thing.
- the values you see displayed by default in the command window are to a relatively low precision, in general they do not show numbers with their full precision (see NUM2STREXACT).
Learn more about binary floating point numbers:
This is worth reading as well:
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