pif_LongInt

by Popisfizzy
Double, triple, and quadruple-precision integers, both signed and unsigned. [More]
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DreamDownload byond://Popisfizzy.pif_LongInt##version=5

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byond://Popisfizzy.pif_LongInt##version=5

67 downloads
Version b1.2.3.20210718
Date added: Apr 8 2016
Last updated: Jul 24
3 fans
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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