Pseudo-random numbers/Combined recursive generator MRG32k3a: Difference between revisions

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{{trans|Python}}
 
<langsyntaxhighlight lang="11l">V a1 = [Int64(0), 1403580, -810728]
V m1 = Int64(2) ^ 32 - 209
V a2 = [Int64(527612), 0, -1370589]
Line 112:
L 100'000
hist[Int(random_gen.next_float() * 5)]++
print(hist)</langsyntaxhighlight>
 
{{out}}
Line 125:
 
=={{header|Ada}}==
<langsyntaxhighlight Adalang="ada">package MRG32KA is
type I64 is range -2**63..2**63 - 1;
m1 : constant I64 := 2**32 - 209;
Line 136:
function Next_Float return Long_Float;
end MRG32KA;
</syntaxhighlight>
</lang>
 
<syntaxhighlight lang="ada">
<lang Ada>
package body MRG32KA is
Line 192:
 
end MRG32KA;
</syntaxhighlight>
</lang>
 
<langsyntaxhighlight Adalang="ada">with Ada.Text_IO; use Ada.Text_IO;
with mrg32ka; use mrg32ka;
 
Line 219:
end Main;
</syntaxhighlight>
</lang>
{{output}}
<pre>
Line 232:
 
=={{header|C}}==
<langsyntaxhighlight lang="c">#include <math.h>
#include <stdio.h>
#include <stdint.h>
Line 317:
 
return 0;
}</langsyntaxhighlight>
{{out}}
<pre>1459213977
Line 333:
=={{header|C++}}==
{{trans|C}}
<langsyntaxhighlight lang="cpp">#include <array>
#include <iostream>
 
Line 407:
 
return 0;
}</langsyntaxhighlight>
{{out}}
<pre>1459213977
2827710106
4245671317
3877608661
2595287583
 
0: 20002
1: 20060
2: 19948
3: 20059
4: 19931</pre>
 
=={{header|D}}==
{{trans|C++}}
<syntaxhighlight lang="d">import std.math;
import std.stdio;
 
long mod(long x, long y) {
long m = x % y;
if (m < 0) {
if (y < 0) {
return m - y;
} else {
return m + y;
}
}
return m;
}
 
class RNG {
private:
// First generator
immutable(long []) a1 = [0, 1403580, -810728];
immutable long m1 = (1L << 32) - 209;
long[3] x1;
// Second generator
immutable(long []) a2 = [527612, 0, -1370589];
immutable long m2 = (1L << 32) - 22853;
long[3] x2;
// other
immutable long d = m1 + 1;
 
public:
void seed(long state) {
x1 = [state, 0, 0];
x2 = [state, 0, 0];
}
 
long next_int() {
long x1i = mod((a1[0] * x1[0] + a1[1] * x1[1] + a1[2] * x1[2]), m1);
long x2i = mod((a2[0] * x2[0] + a2[1] * x2[1] + a2[2] * x2[2]), m2);
long z = mod(x1i - x2i, m1);
 
// keep the last three values of the first generator
x1 = [x1i, x1[0], x1[1]];
// keep the last three values of the second generator
x2 = [x2i, x2[0], x2[1]];
 
return z + 1;
}
 
double next_float() {
return cast(double) next_int() / d;
}
}
 
void main() {
auto rng = new RNG();
 
rng.seed(1234567);
writeln(rng.next_int);
writeln(rng.next_int);
writeln(rng.next_int);
writeln(rng.next_int);
writeln(rng.next_int);
writeln;
 
int[5] counts;
rng.seed(987654321);
foreach (i; 0 .. 100_000) {
auto value = cast(int) floor(rng.next_float * 5.0);
counts[value]++;
}
foreach (i,v; counts) {
writeln(i, ": ", v);
}
}</syntaxhighlight>
{{out}}
<pre>1459213977
Line 422 ⟶ 510:
 
=={{header|Factor}}==
<langsyntaxhighlight lang="factor">USING: arrays kernel math math.order math.statistics
math.vectors prettyprint sequences ;
 
Line 447 ⟶ 535:
 
987654321 seed 100,000 [ next-float 5 * >integer ] replicate
2nip histogram .</langsyntaxhighlight>
{{out}}
<pre>
Line 458 ⟶ 546:
</pre>
 
=={{header|Forth}}==
{{trans|uBasic/4tH}}
{{works with|4tH v3.64}}
<syntaxhighlight lang="forth">6 array (seed) \ holds the seed
6 array (gens) \ holds the generators
\ set up constants
0 (gens) 0 th ! \ 1st generator
1403580 (gens) 1 th !
-810728 (gens) 2 th !
527612 (gens) 3 th ! \ 2nd generator
0 (gens) 4 th !
-1370589 (gens) 5 th !
 
1 32 lshift 209 - value (m) \ 1st generator constant
1 32 lshift 22853 - value (n) \ 2nd generator constant
( n1 n2 -- n3)
: (mod) tuck mod tuck 0< if abs + ;then drop ;
: (generate) do (seed) i th @ (gens) i th @ * + loop swap (mod) ;
: (reseed) ?do (seed) i th ! loop ; ( n1 n2 n3 limit index --)
: randomize 6 0 do dup i 3 mod if >zero then (seed) i th ! loop drop ;
( n --)
: random ( -- n)
(m) 0 3 0 (generate) (n) 0 6 3 (generate) over over
(seed) 4 th @ (seed) 3 th @ rot 6 3 (reseed)
(seed) 1 th @ (seed) 0 th @ rot 3 0 (reseed) - (m) (mod) 1+
;
 
include lib/fp1.4th \ simple floating point support
include lib/zenfloor.4th \ for FLOOR
 
5 array (count) \ setup an array of 5 elements
 
: test
1234567 randomize
random . cr random . cr random . cr
random . cr random . cr cr \ perform the first test
 
987654321 randomize (m) 1+ s>f \ set up denominator
 
100000 0 ?do \ do this 100,000 times
random s>f fover f/ 5 s>f f* floor f>s cells (count) + 1 swap +!
loop fdrop
\ show the results
5 0 ?do i . ." : " (count) i th ? cr loop
;
 
test</syntaxhighlight>
{{out}}
<pre>1459213977
2827710106
4245671317
3877608661
2595287583
 
0 : 20002
1 : 20060
2 : 19948
3 : 20059
4 : 19931
</pre>
=={{header|Go}}==
{{trans|Python}}
<langsyntaxhighlight lang="go">package main
 
import (
Line 527 ⟶ 675:
fmt.Printf(" %d : %d\n", i, counts[i])
}
}</langsyntaxhighlight>
 
{{out}}
Line 544 ⟶ 692:
4 : 19931
</pre>
 
=={{header|Haskell}}==
 
<syntaxhighlight lang="haskell">import Data.List
 
randoms :: Int -> [Int]
randoms seed = unfoldr go ([seed,0,0],[seed,0,0])
where
go (x1,x2) =
let x1i = sum (zipWith (*) x1 a1) `mod` m1
x2i = sum (zipWith (*) x2 a2) `mod` m2
in Just $ ((x1i - x2i) `mod` m1, (x1i:init x1, x2i:init x2))
a1 = [0, 1403580, -810728]
m1 = 2^32 - 209
a2 = [527612, 0, -1370589]
m2 = 2^32 - 22853
 
randomsFloat = map ((/ (2^32 - 208)) . fromIntegral) . randoms</syntaxhighlight>
 
<pre>*Main> take 5 $ randoms 1234567
[1459213976,2827710105,4245671316,3877608660,2595287582]
 
*Main> let hist = map length . group . sort
*Main> hist . take 100000 $ (floor . (*5)) <$> randomsFloat 987654321
[20002,20060,19948,20059,19931]</pre>
 
=== As a RandomGen instanse ===
<syntaxhighlight lang="haskell">import System.Random
 
newtype MRG32k3a = MRG32k3a ([Int],[Int])
 
mkMRG32k3a s = MRG32k3a ([s,0,0],[s,0,0])
 
instance RandomGen MRG32k3a where
next (MRG32k3a (x1,x2)) =
let x1i = sum (zipWith (*) x1 a1) `mod` m1
x2i = sum (zipWith (*) x2 a2) `mod` m2
in ((x1i - x2i) `mod` m1, MRG32k3a (x1i:init x1, x2i:init x2))
where
a1 = [0, 1403580, -810728]
m1 = 2^32 - 209
a2 = [527612, 0, -1370589]
m2 = 2^32 - 22853
 
split _ = error "MRG32k3a is not splittable"</syntaxhighlight>
 
In this case the sequence or numbers differs from direct unfolding, due to internal uniform shuffling.
 
<pre>*Main> take 5 $ randoms (mkMRG32k3a 1234567)
[2827710105,3877608660,3642754129,1259674122,3002249941]
 
*Main> let hist = map length . group . sort
*Main> hist . take 100000 $ (floor . (*5)) <$> (randoms (mkMRG32k3a 987654321) :: [Float])
[20015,19789,20024,20133,20039]</pre>
 
=={{header|Java}}==
{{trans|C++}}
<syntaxhighlight lang="java">public class App {
private static long mod(long x, long y) {
long m = x % y;
if (m < 0) {
if (y < 0) {
return m - y;
} else {
return m + y;
}
}
return m;
}
 
public static class RNG {
// first generator
private final long[] a1 = {0, 1403580, -810728};
private static final long m1 = (1L << 32) - 209;
private long[] x1;
// second generator
private final long[] a2 = {527612, 0, -1370589};
private static final long m2 = (1L << 32) - 22853;
private long[] x2;
// other
private static final long d = m1 + 1;
 
public void seed(long state) {
x1 = new long[]{state, 0, 0};
x2 = new long[]{state, 0, 0};
}
 
public long nextInt() {
long x1i = mod(a1[0] * x1[0] + a1[1] * x1[1] + a1[2] * x1[2], m1);
long x2i = mod(a2[0] * x2[0] + a2[1] * x2[1] + a2[2] * x2[2], m2);
long z = mod(x1i - x2i, m1);
 
// keep the last three values of the first generator
x1 = new long[]{x1i, x1[0], x1[1]};
// keep the last three values of the second generator
x2 = new long[]{x2i, x2[0], x2[1]};
 
return z + 1;
}
 
public double nextFloat() {
return 1.0 * nextInt() / d;
}
}
 
public static void main(String[] args) {
RNG rng = new RNG();
 
rng.seed(1234567);
System.out.println(rng.nextInt());
System.out.println(rng.nextInt());
System.out.println(rng.nextInt());
System.out.println(rng.nextInt());
System.out.println(rng.nextInt());
System.out.println();
 
int[] counts = {0, 0, 0, 0, 0};
rng.seed(987654321);
for (int i = 0; i < 100_000; i++) {
int value = (int) Math.floor(rng.nextFloat() * 5.0);
counts[value]++;
}
for (int i = 0; i < counts.length; i++) {
System.out.printf("%d: %d%n", i, counts[i]);
}
}
}</syntaxhighlight>
{{out}}
<pre>1459213977
2827710106
4245671317
3877608661
2595287583
 
0: 20002
1: 20060
2: 19948
3: 20059
4: 19931</pre>
 
=={{header|Julia}}==
<langsyntaxhighlight lang="julia">const a1 = [0, 1403580, -810728]
const m1 = 2^32 - 209
const a2 = [527612, 0, -1370589]
Line 580 ⟶ 868:
end
foreach(p -> print(p[1], ": ", p[2], " "), enumerate(hist))
</langsyntaxhighlight>{{out}}
<pre>
1459213977
Line 592 ⟶ 880:
=={{header|Kotlin}}==
{{trans|C++}}
<langsyntaxhighlight lang="scala">import kotlin.math.floor
 
fun mod(x: Long, y: Long): Long {
Line 661 ⟶ 949:
println("${iv.index}: ${iv.value}")
}
}</langsyntaxhighlight>
{{out}}
<pre>1459213977
Line 676 ⟶ 964:
 
=={{header|Nim}}==
<langsyntaxhighlight Nimlang="nim">import algorithm, math, sequtils, strutils, tables
 
const
Line 723 ⟶ 1,011:
for _ in 1..100_000:
counts.inc int(gen.nextFloat() * 5)
echo sorted(toSeq(counts.pairs)).mapIt($it[0] & ": " & $it[1]).join(", ")</langsyntaxhighlight>
 
{{out}}
<pre>1459213977
2827710106
3062078038
4245671317
2161462912
3877608661
4144066119
2595287583
2676599027
 
0: 1987120002, 1: 2007320060, 2: 2011719948, 3: 1986720059, 4: 2007219931</pre>
 
=={{header|Pari/GP}}==
Pretty straightforward translation from the directions. Used column/vector multiplication (essentially he dot product) instead of the more tedious form given in the definition of x1i and x2i; rationals (t_FRAC) used in place of floating-point since GP lacks floating-point.
<syntaxhighlight lang="parigp">a1 = [0, 1403580, -810728];
m1 = 2^32-209;
a2 = [527612, 0, -1370589];
m2 = 2^32-22853;
d = m1+1;
seed(s)=x1=x2=[s,0,0];
next_int()=
{
my(x1i=a1*x1~%m1, x2i=a2*x2~%m2);
x1 = [x1i, x1[1], x1[2]];
x2 = [x2i, x2[1], x2[2]];
(x1i-x2i)%m1 + 1;
}
next_float()=next_int()/d;
 
seed(1234567);
vector(5,i,next_int())
seed(987654321);
v=vector(5); for(i=1,1e5, v[next_float()*5\1+1]++); v</syntaxhighlight>
{{out}}
<pre>%1 = [1459213977, 2827710106, 4245671317, 3877608661, 2595287583]
%2 = [20002, 20060, 19948, 20059, 19931]</pre>
 
=={{header|Perl}}==
<langsyntaxhighlight lang="perl">use strict;
use warnings;
use feature 'say';
Line 757 ⟶ 1,070:
 
sub next_int {
my ($class,$self) = @_;
unshift @{$$self{x1}}, ($a1[0] * $$self{x1}[0] + $a1[1] * $$self{x1}[1] + $a1[2] * $$self{x1}[2]) % m1; pop @{$$self{x1}};
unshift @{$$self{x2}}, ($a2[0] * $$self{x2}[0] + $a2[1] * $$self{x2}[1] + $a2[2] * $$self{x2}[2]) % m2; pop @{$$self{x2}};
Line 763 ⟶ 1,076:
}
 
sub next_float { next_int(@$_)[0]->next_int / (m1 + 1) }
}
 
say 'Seed: 1234567, first 5 values:';
my $rng = MRG32k3a->new( seed => 1234567 );
say MRG32k3a$rng->next_int($rng) for 1..5;
 
my %h;
say "\nSeed: 987654321, values histogram:";
$rng = MRG32k3a->new( seed => 987654321 );
$h{int 5 * MRG32k3a$rng->next_float($rng)}++ for 1..100_000;
say "$_ $h{$_}" for sort keys %h;</langsyntaxhighlight>
{{out}}
<pre>Seed: 1234567, first 5 values:
Line 791 ⟶ 1,104:
 
=={{header|Phix}}==
<!--<syntaxhighlight lang="phix">(phixonline)-->
<lang Phix>constant
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
-- First generator
<span style="color: #008080;">constant</span>
a1 = {0, 1403580, -810728},
<span style="color: #000080;font-style:italic;">-- First generator</span>
m1 = power(2,32) - 209,
<span style="color: #000000;">a1</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">1403580</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">810728</span><span style="color: #0000FF;">},</span>
-- Second Generator
<span style="color: #000000;">m1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">32</span><span style="color: #0000FF;">)</span> <span style="color: #0000FF;">-</span> <span style="color: #000000;">209</span><span style="color: #0000FF;">,</span>
a2 = {527612, 0, -1370589},
<span style="color: #000080;font-style:italic;">-- Second Generator</span>
m2 = power(2,32) - 22853,
<span style="color: #000000;">a2</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">527612</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">1370589</span><span style="color: #0000FF;">},</span>
d = m1 + 1
<span style="color: #000000;">m2</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">32</span><span style="color: #0000FF;">)</span> <span style="color: #0000FF;">-</span> <span style="color: #000000;">22853</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">d</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">m1</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">1</span>
sequence x1 = {0, 0, 0}, /* list of three last values of gen #1 */
x2 = {0, 0, 0} /* list of three last values of gen #2 */
<span style="color: #004080;">sequence</span> <span style="color: #000000;">x1</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">},</span> <span style="color: #000080;font-style:italic;">/* list of three last values of gen #1 */</span>
<span style="color: #000000;">x2</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">}</span> <span style="color: #000080;font-style:italic;">/* list of three last values of gen #2 */</span>
procedure seed(integer seed_state)
assert(seed_state>0 and seed_state<d)
<span style="color: #008080;">procedure</span> <span style="color: #000000;">seed</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">seed_state</span><span style="color: #0000FF;">)</span>
x1 = {seed_state, 0, 0}
<span style="color: #7060A8;">assert</span><span style="color: #0000FF;">(</span><span style="color: #000000;">seed_state</span><span style="color: #0000FF;">></span><span style="color: #000000;">0</span> <span style="color: #008080;">and</span> <span style="color: #000000;">seed_state</span><span style="color: #0000FF;"><</span><span style="color: #000000;">d</span><span style="color: #0000FF;">)</span>
x2 = {seed_state, 0, 0}
<span style="color: #000000;">x1</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">seed_state</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">}</span>
end procedure
<span style="color: #000000;">x2</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">seed_state</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
function next_int()
atom x1i = mod(a1[1]*x1[1] + a1[2]*x1[2] + a1[3]*x1[3],m1),
<span style="color: #008080;">function</span> <span style="color: #000000;">next_int</span><span style="color: #0000FF;">()</span>
x2i = mod(a2[1]*x2[1] + a2[2]*x2[2] + a2[3]*x2[3],m2)
<span style="color: #004080;">atom</span> <span style="color: #000000;">x1i</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">a1</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]*</span><span style="color: #000000;">x1</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">a1</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]*</span><span style="color: #000000;">x1</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">a1</span><span style="color: #0000FF;">[</span><span style="color: #000000;">3</span><span style="color: #0000FF;">]*</span><span style="color: #000000;">x1</span><span style="color: #0000FF;">[</span><span style="color: #000000;">3</span><span style="color: #0000FF;">],</span><span style="color: #000000;">m1</span><span style="color: #0000FF;">),</span>
x1 = {x1i, x1[1], x1[2]} /* Keep last three */
<span style="color: #000000;">x2i</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">a2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]*</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">a2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]*</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">a2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">3</span><span style="color: #0000FF;">]*</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">3</span><span style="color: #0000FF;">],</span><span style="color: #000000;">m2</span><span style="color: #0000FF;">)</span>
x2 = {x2i, x2[1], x2[2]} /* Keep last three */
<span style="color: #000000;">x1</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">x1i</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">x1</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">],</span> <span style="color: #000000;">x1</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]}</span> <span style="color: #000080;font-style:italic;">/* Keep last three */</span>
atom z = mod(x1i-x2i,m1),
<span style="color: #000000;">x2</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">x2i</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">x2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">],</span> <span style="color: #000000;">x2</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]}</span> <span style="color: #000080;font-style:italic;">/* Keep last three */</span>
answer = (z + 1)
<span style="color: #004080;">atom</span> <span style="color: #000000;">z</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mod</span><span style="color: #0000FF;">(</span><span style="color: #000000;">x1i</span><span style="color: #0000FF;">-</span><span style="color: #000000;">x2i</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m1</span><span style="color: #0000FF;">),</span>
return answer
<span style="color: #000000;">answer</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">z</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
end function
<span style="color: #008080;">return</span> <span style="color: #000000;">answer</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
function next_float()
return next_int() / d
<span style="color: #008080;">function</span> <span style="color: #000000;">next_float</span><span style="color: #0000FF;">()</span>
end function
<span style="color: #008080;">return</span> <span style="color: #000000;">next_int</span><span style="color: #0000FF;">()</span> <span style="color: #0000FF;">/</span> <span style="color: #000000;">d</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
seed(1234567)
for i=1 to 5 do
<span style="color: #000000;">seed</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1234567</span><span style="color: #0000FF;">)</span>
printf(1,"%d\n",next_int())
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">5</span> <span style="color: #008080;">do</span>
end for
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%d\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">next_int</span><span style="color: #0000FF;">())</span>
seed(987654321)
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
sequence r = repeat(0,5)
<span style="color: #000000;">seed</span><span style="color: #0000FF;">(</span><span style="color: #000000;">987654321</span><span style="color: #0000FF;">)</span>
for i=1 to 100_000 do
<span style="color: #004080;">sequence</span> <span style="color: #000000;">r</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">)</span>
r[floor(next_float()*5)+1] += 1
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">100_000</span> <span style="color: #008080;">do</span>
end for
<span style="color: #004080;">integer</span> <span style="color: #000000;">rdx</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">next_float</span><span style="color: #0000FF;">()*</span><span style="color: #000000;">5</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span>
?r</lang>
<span style="color: #000000;">r</span><span style="color: #0000FF;">[</span><span style="color: #000000;">rdx</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #0000FF;">?</span><span style="color: #000000;">r</span>
<!--</syntaxhighlight>-->
{{out}}
<pre>
Line 841 ⟶ 1,158:
2595287583
{20002,20060,19948,20059,19931}
</pre>
 
=={{header|Python}}==
<langsyntaxhighlight lang="python"># Constants
a1 = [0, 1403580, -810728]
m1 = 2**32 - 209
Line 890 ⟶ 1,207:
for i in range(100_000):
hist[int(random_gen.next_float() *5)] += 1
print(hist)</langsyntaxhighlight>
 
{{out}}
Line 906 ⟶ 1,223:
All constants are encapsulated within the class.
 
<syntaxhighlight lang="raku" perl6line>class MRG32k3a {
has @!x1;
has @!x2;
Line 942 ⟶ 1,259:
say "\nSeed: default; first five Int values:";
$rng = MRG32k3a.new;
.say for $rng.next-int xx 5;</langsyntaxhighlight>
{{out}}
<pre>Seed: 1234567; first five Int values:
Line 963 ⟶ 1,280:
=={{header|Ruby}}==
{{trans|C}}
<langsyntaxhighlight lang="ruby">def mod(x, y)
m = x % y
if m < 0 then
Line 1,030 ⟶ 1,347:
counts.each_with_index { |v,i|
print i, ": ", v, "\n"
}</langsyntaxhighlight>
{{out}}
<pre>1459213977
Line 1,043 ⟶ 1,360:
3: 20059
4: 19931</pre>
===Mimicking the Pseudo-code===
<syntaxhighlight lang="ruby"># Constants
# First generator
A1 = [0, 1403580, -810728]
M1 = 2**32 - 209
# Second Generator
A2 = [527612, 0, -1370589]
M2 = 2**32 - 22853
D = M1 + 1
class MRG32k3a
 
def seed(seed_state)
raise ArgumentError unless seed_state.between?(0, D)
@x1 = [seed_state, 0, 0]
@x2 = [seed_state, 0, 0]
end
def next_int
x1i = (A1[0]*@x1[0] + A1[1]*@x1[1] + A1[2]*@x1[2]).modulo M1
x2i = (A2[0]*@x2[0] + A2[1]*@x2[1] + A2[2]*@x2[2]).modulo M2
@x1 = [x1i, @x1[0], @x1[1]] # Keep last three
@x2 = [x2i, @x2[0], @x2[1]] # Keep last three
z = (x1i - x2i) % M1
return z + 1
end
def next_float
next_int.to_f / D
end
end
 
random_gen = MRG32k3a.new
random_gen.seed(1234567)
5.times{ puts random_gen.next_int}
 
random_gen = MRG32k3a.new
random_gen.seed(987654321)
p 100_000.times.map{(random_gen.next_float() * 5).floor}.tally.sort.to_h
</syntaxhighlight>
 
=={{header|Sidef}}==
{{trans|Perl}}
<syntaxhighlight lang="ruby">class MRG32k3a(seed) {
 
define(
m1 = (2**32 - 209)
m2 = (2**32 - 22853)
)
 
define(
a1 = %n< 0 1403580 -810728>
a2 = %n<527612 0 -1370589>
)
 
has x1 = [seed, 0, 0]
has x2 = x1.clone
 
method next_int {
x1.unshift(a1.map_kv {|k,v| v * x1[k] }.sum % m1); x1.pop
x2.unshift(a2.map_kv {|k,v| v * x2[k] }.sum % m2); x2.pop
(x1[0] - x2[0]) % (m1 + 1)
}
 
method next_float { self.next_int / (m1 + 1) -> float }
}
 
say "Seed: 1234567, first 5 values:"
var rng = MRG32k3a(seed: 1234567)
5.of { rng.next_int }.each { .say }
 
say "\nSeed: 987654321, values histogram:";
var rng = MRG32k3a(seed: 987654321)
var freq = 100_000.of { rng.next_float * 5 -> int }.freq
freq.sort.each_2d {|k,v| say "#{k} #{v}" }</syntaxhighlight>
{{out}}
<pre>
Seed: 1234567, first 5 values:
1459213977
2827710106
4245671317
3877608661
2595287583
 
Seed: 987654321, values histogram:
0 20002
1 20060
2 19948
3 20059
4 19931
</pre>
 
=={{header|uBasic/4tH}}==
{{works with|v3.64}}
{{trans|C}}
Since uBasic/4tH has no floating point support, only the integer part of the task can be implemented.
<syntaxhighlight lang="text">@(0) = 0 ' First generator
@(1) = 1403580
@(2) = -810728
m = SHL(1, 32) - 209
 
@(3) = 527612 ' Second generator
@(4) = 0
@(5) = -1370589
n = SHL(1, 32) - 22853
 
d = SHL(1, 32) - 209 + 1 ' m + 1
 
Proc _Seed(1234567)
Print FUNC(_NextInt)
Print FUNC(_NextInt)
Print FUNC(_NextInt)
Print FUNC(_NextInt)
Print FUNC(_NextInt)
Print
End
 
_Mod Param(2)
Local(1)
c@ = a@ % b@
If c@ < 0 Then
If b@ < 0 Then
Return (c@-b@)
Else
Return (c@+b@)
Endif
EndIf
Return (c@)
 
_Seed Param(1) ' seed the PRNG
@(6) = a@
@(7) = 0
@(8) = 0
 
@(9) = a@
@(10) = 0
@(11) = 0
Return
 
_NextInt ' get the next random integer value
Local(3)
 
a@ = FUNC(_Mod((@(0) * @(6) + @(1) * @(7) + @(2) * @(8)), m))
b@ = FUNC(_Mod((@(3) * @(9) + @(4) * @(10) + @(5) * @(11)), n))
c@ = FUNC(_Mod(a@ - b@, m))
 
' keep last three values of the first generator
@(8) = @(7)
@(7) = @(6)
@(6) = a@
 
' keep last three values of the second generator
@(11) = @(10)
@(10) = @(9)
@(9) = b@
 
Return (c@ + 1)</syntaxhighlight>
{{out}}
<pre>1459213977
2827710106
4245671317
3877608661
2595287583
 
 
0 OK, 0:398
</pre>
 
=={{header|Wren}}==
{{trans|Python}}
<langsyntaxhighlight ecmascriptlang="wren">// constants
var A1 = [0, 1403580, -810728]
var M1 = 2.pow(32) - 209
Line 1,095 ⟶ 1,581:
}
System.print("\nThe counts for 100,000 repetitions are:")
for (i in 0..4) System.print(" %(i) : %(counts[i])")</langsyntaxhighlight>
 
{{out}}
9,476

edits