machine eps related query
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Sean Doherty
le 29 Déc 2020
Réponse apportée : Ameer Hamza
le 29 Déc 2020
1 + eps > 1
ans =
logical
1
% as expcted
1 + eps
ans =
1.000000000000000
% unexpected, and indeed
1+2.5*eps
ans =
1.000000000000000
any help appreciated
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Ameer Hamza
le 29 Déc 2020
It happens because of finite precision of double() precision datatype: https://en.wikipedia.org/wiki/Double-precision_floating-point_format. Also, because of the fact that MATLAB only prints 16 digits by default, the remaining digits after conversion are not shown (double datatype cannot store more than 16 digits accurately). Try the following
>> fprintf('%0.20f\n', 1+eps)
1.00000000000000022204
>> fprintf('%0.20f\n', 1+2.5*eps)
1.00000000000000044409
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