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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
Get started now by creating a new collection.
That's true, but there is no better way to do it, short of resorting to a higher-precision floating-point type.
You forgot for double inprecision, basicly floating-point arithmetic, not a good idea.
This is me not trying to use built in functions. It's alot. Probably still used some built in functions too.