Re: KISS4691, a potentially top-ranked RNG.

["robin" <robin51@dodo.com.au>]

"Gene" <gene.ressler@gmail.com> wrote in message 
news:9ea9185a-23e7-4265-acde-097c5c14ca14@y11g2000yqm.googlegroups.com...
"geo" <gmarsaglia@gmail.com> wrote in message news:a82cebe3-cdb9-48af-8080-bca935eeb9b1@l14g2000yql.googlegroups.com...
|I have been asked to recommend an RNG
| (Random Number Generator) that ranks
| at or near the top in all of the categories:
| performance on tests of randomness,
| length of period, simplicity and speed.
| The most important measure, of course, is
| performance on extensive tests of randomness, and for
| those that perform well, selection may well depend
| on those other measures.
|
| The following KISS version, perhaps call it KISS4691,
| seems to rank at the top in all of those categories.
| It is my latest, and perhaps my last, as, at age 86,
| I    am        slowing                down.
|
| Compiling and running the following commented
| C listing should produce, within about four seconds,
| 10^9 calls to the principal component MWC(), then
| 10^9 calls to the KISS combination in another ~7 seconds.
|
| Try it; you may like it.
|
| George Marsaglia

Here's the PL/I version:

(NOSIZE, NOFOFL):
RNG: PROCEDURE OPTIONS (MAIN, REORDER);

   declare (xs initial (521288629), xcng initial (362436069),
            Q(0:4690) ) static fixed binary (32) unsigned;

MWC: procedure () returns (fixed binary (32) unsigned);
 /*takes about 4.2 nanosecs or 238 million/second*/
   declare (t,x,i) fixed binary (32) unsigned;
   declare (c initial (0), j initial (4691) ) fixed binary (32) unsigned static;

   if j < 4690 then j = j + 1; else j = 0;
   x = Q(j);
   t = isll(x,13)+c+x; c = (t<x)+isrl(x,19);
   Q(j)=t;
   return (t);
end MWC;

CNG: procedure returns (fixed binary (32) unsigned);
  xcng=bin(69069)*xcng+bin(123);
  return (xcng);
end CNG;

XXS: procedure returns (fixed binary (32) unsigned);
   xs = ieor (xs, isll(xs, 13) );
   xs = ieor (xs, isrl(xs, 17) );
   xs = ieor (xs, isll(xs,  5) );
   return (xs);
end XXS;

KISS: procedure returns (fixed binary (32) unsigned);
 return ( MWC()+CNG+XXS ); /*138 million/sec*/
end KISS;

   declare (i,x) fixed binary (32) unsigned;
   /* Initialize: */
   do i = 0 to 4691-1; Q(i) = CNG+XXS; end;
   put skip list (q(0), q(4690));
   put skip list ('initialized'); put skip;
   do i = 0 to 1000000000-1; x=MWC(); end;
   put skip edit (" MWC result=3740121002 ",x) (a, f(23));
   do i = 0 to 1000000000-1; x=KISS; end;
   put skip edit ("KISS result=2224631993 ",x) (a, f(23));

end RNG;