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In Java, most of the primitive types are signed (one bit is used to represent the +/-), and therefore when I exceed the limits of the type, I can get unexpected results, like negative numbers.
Is there any better solution than using BigInteger for this, since BigInteger has performance issues and you need to use the class methods for basic arithmetic instead of the language operators (ruins readability)?
No, there is not a better solution. If you are working with values that cannot fit into a long or a double then you will need to use a reference type like
BigInteger, and Java does not support operator overloading.Technically, I suppose you could have some mapping between signed and unsigned values, but if your goal is clean and simple code then this is not at all the way to go.