BETA VERSION. FEATURES ARE INCOMPLETE.
pif_LongInt is a library that implements both signed and unsigned double, triple, and quadruple precision (32-bit, 48-bit, and 64-bit) integers. In this beta version, only 32-bit signed and unsigned double precision integers are available.
As an example of how one could use this library, here is how you could write a function to output binomial coefficients with your desired precision.
proc/Choose(n, k, type = /pif_LongInt/Unsigned32)
/*
* This method was found at:
* http://www.geeksforgeeks.org/space-and-time-efficient-binomial-coefficient/
*/
var/pif_LongInt/Int = new type(1)
if(k > (n-k))
// Choose(n, k) = Choose(n, n-k) so by doing this we reduce the
// number of steps needed.
k = n-k
for(var/i = 0, i <= k-1, i ++)
Int *= n-i
Int /= i+1
return Int
Then to test it, we could do
mob/Login()
..()
for(var/i = 0, i <= 25, i ++)
world << "<tt>Choose(25, [i])\t=>\t[Choose(25, i, /pif_LongInt/Unsigned32).Print()]</tt>"
And this produces the following output.
Choose(25, 0) => 1
Choose(25, 1) => 25
Choose(25, 2) => 300
Choose(25, 3) => 2300
Choose(25, 4) => 12650
Choose(25, 5) => 53130
Choose(25, 6) => 177100
Choose(25, 7) => 480700
Choose(25, 8) => 1081575
Choose(25, 9) => 2042975
Choose(25, 10) => 3268760
Choose(25, 11) => 4457400
Choose(25, 12) => 5200300
Choose(25, 13) => 5200300
Choose(25, 14) => 4457400
Choose(25, 15) => 3268760
Choose(25, 16) => 2042975
Choose(25, 17) => 1081575
Choose(25, 18) => 480700
Choose(25, 19) => 177100
Choose(25, 20) => 53130
Choose(25, 21) => 12650
Choose(25, 22) => 2300
Choose(25, 23) => 300
Choose(25, 24) => 25
Choose(25, 25) => 1
Upon completion of this library, when a
Unsigned64 object is available, one could compute binomial coefficients
Choose(n,k) for all 0 ≤ n,k ≤ 67 to perfect accuracy (where the largest in this domain is given by
Choose(67, 33) =
Choose(67, 34) = 14,226,520,737,620,288,370).
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