Math errors in python

[Chris S.]

Gary Herron wrote:
> That's called rational arithmetic, and I'm sure you can find a package
> that implements it for you.  However what would you propose for
> irrational numbers like sqrt(2) and transcendental numbers like PI?

Sqrt is a fair criticism, but Pi equals 22/7, exactly the form this 
arithmetic is meant for. Any decimal can be represented by a fraction, 
yet not all fractions can be represented by decimals. My point is that 
such simple accuracy should be supported out of the box.

> While I'd love to compute with all those numbers in infinite
> precision, we're all stuck with FINITE sized computers, and hence with
> the inaccuracies of finite representations of numbers.

So are our brains, yet we somehow manage to compute 12.10 + 8.30 
correctly using nothing more than simple skills developed in 
grade-school. You could theoretically compute an infinitely long 
equation by simply operating on single digits, yet Python, with all of 
its resources, can't overcome this hurtle?

However, I understand Python's limitation in this regard. This 
inaccuracy stems from the traditional C mindset, which typically 
dismisses any approach not directly supported in hardware. As the FAQ 
states, this problem is due to the "underlying C platform". I just find 
it funny how a $20 calculator can be more accurate than Python running 
on a $1000 Intel machine.