"Infinite precision is not needed"
Yes, that's the point I was making.
"I don't remember the last time I owed π dollars to someone"
Well, you did say "you can store any number" :-)
But even if we do limit the calculations to strictly financial ones, it's very easy to demonstrate a case where you'll get round-off.
Assume you have invested $1000, and your average annual interest rate is exactly 4%. According to the The Rule of 72, you can expect your money to double in approximately (72 / 4) = 18 years.
The problem is, this isn't exact. The exact period after which your money will double is given by the formula ln 2 / ln 1.04, which is approximately 17.67298769 years. But my point is, no module is going to give you 100% accuracy for that, because ln 2 and ln 1.04, as well as their quotient, are all transcendental numbers, which means you can't represent them 100% accurately. Which is all I was trying to get across.
s''(q.S:$/9=(T1';s;(..)(..);$..=substr+crypt($1,$2),2,3;eg;print$..$/
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Well, you did say "you can store any number" :-)
Point made. I wasn't precise enough.
and your average annual interest rate is exactly 4%
That's the thing, it isn't. The interest will be rounded/ceiled/floored. If you want to calculate it accurately, you need a loop. Furthermore, logarithms is not one of the operations I allowed.
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