When doing calculations on very large numbers where integral data types such as double or int64 falls short, a separate class to handle such large numbers may be needed.
Does anyone care to offer an efficient algorithm on how best to do this?
There are 2 solutions to your problem:
Easy way: Use an external library such as 'The GNU MP Bignum Library and forget about implementation details.
Hard way: Design your own class/structure containing multiple higher order datatypes like double or int64 variables and define basic math operations for them using operator overloading (in C++) or via methods named add, subtract, multiply, shift, etc. (in JAVA and other OO languages).
Let me know if you need any further help. I have done this a couple of times in the past.
In C# 4.0 use the BigInteger type
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