# pif_LongInt

Double, triple, and quadruple-precision integers, both signed and unsigned.
 ID:2066921   Apr 8 2016, 9:00 pm 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 << "Choose(25, [i])\t=>\t[Choose(25, i, /pif_LongInt/Unsigned32).Print()]" ``` 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). Other Links The MIT License ```Copyright (c) 2016-2021 Timothy "popisfizzy" Reilly Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. ```