What should be the epsilon value when performing double value equal comparison

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I like (pseudo code, I don’t do java)

bool fuzzyEquals(double a, double b)
{
    return abs(a - b) < eps * max(abs(a), abs(b));
}

with epsilon being a few times the machine epsilon. Take 10^-12 if you don’t know what to use.

This is quite problem dependant however. If the computations giving a and b are prone to roundoff error, or involve many operations, or are themselves within some (known) accuracy, you want to take a bigger epsilon.

Ths point is to use relative precision, not absolute.

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