What's wrong with using == to compare floats in Java?

Question

According to this java.sun page == is the equality comparison operator for floating point numbers in Java.

However, when I type this code:

Answer 1

the correct way to test floats for 'equality' is:

if(Math.abs(sectionID - currentSectionID) < epsilon)

where epsilon is a very small number like 0.00000001, depending on the desired precision.