Need π to 100 or so digits precision?
Use the “bc” arbitrary precision calculator you can probably find (or install easily) on your Linux box.
> bc -l bc 1.06.95 Copyright 1991-1994, 1997, 1998, 2000, 2004, 2006 Free Software Foundation, Inc. This is free software with ABSOLUTELY NO WARRANTY. For details type `warranty'. scale=50 4*a(1) 3.14159265358979323846264338327950288419716939937508
User input is in bold. the scale command sets the number of digits of precision. If you need 200 digits…
scale=200 4*a(1) 3.141592653589793238462643383279502884197169399375105820974944592307\ 81640628620899862803482534211706798214808651328230664709384460955058\ 223172535940812848111745028410270193852110555964462294895493038196
Other formulas work pretty well too:
4*(4*a(1/5)-a(1/239)) 3.141592653589793238462643383279502884197169399375105820974944592307\ 81640628620899862803482534211706798214808651328230664709384460955058\ 223172535940812848111745028410270193852110555964462294895493038188
Note: the last few digits are likely to be off, so generate a few more than you need. For fun, try to set the number of digits to a couple of thousand digits, and compare the runtime of each of the formulas.
Addendum: You can use the Gauss-Legendre algorithm to compute the digits of pi using bc as well. If you double the “scale”, you’ll need to add one to the for loop variable.
scale=1000 define sqr(x) { return x * x ; } a = 1 b = 1 / sqrt(2) t = 1 / 4 p = 1 for (i=0; i<9; i++) { next_a = (a + b) / 2 next_b = sqrt(a * b) next_t = t - p * sqr(a - next_a) next_p = 2 * p a = next_a b = next_b t = next_t p = next_p } sqr(a + b) / (4 * t)
I suspect the world would be better if that percentage were even greater.
Apparently 15% of all web traffic is cat related. There's no reason for Brainwagon be any different.
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Congrats, glad to hear all is well.