Elementary cellular automaton/Random number generator: Difference between revisions

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{{task}}
[[wp:Rule 30|Rule 30]] is considered to be chaotic enough to generate good pseudo-random numbers. As a matter of fact, for a long time rule 30 iswas used by the [[wp:Mathematica|Mathematica]] software for its default random number generator.
 
Steven Wolfram's recommendation for random number generation from rule 30 consists in extracting successive bits in a fixed position in the array of cells, as the automaton changes state.
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44</pre>
Run-time: less than two seconds with the ldc2 compiler.
 
=={{header|FreeBASIC}}==
{{trans|Go}}
<syntaxhighlight lang="vbnet">Const n As Uinteger = 64
 
#define pow2(x) Culng(1) Shl x
 
Sub Evolve(state As Integer, rule As Integer)
Dim As Integer i, p, q
Dim As Ulongint b, st, t1, t2, t3
For p = 0 To 9
b = 0
For q = 7 To 0 Step -1
st = state
b Or= (st And 1) Shl q
state = 0
For i = 0 To n - 1
t1 = Iif(i > 0, st Shr (i - 1), st Shr 63)
Select Case i
Case 0: t2 = st Shl 1
Case 1: t2 = st Shl 63
Case Else: t2 = st Shl (n + 1 - i)
End Select
t3 = 7 And (t1 Or t2)
If (rule And pow2(t3)) <> 0 Then state Or= pow2(i)
Next i
Next q
Print Using "####"; b;
Next p
Print
End Sub
 
Evolve(1, 30)
 
Sleep</syntaxhighlight>
{{out}}
<pre> 220 197 147 174 117 97 149 171 100 151</pre>
 
=={{header|F_Sharp|F#}}==
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byte__m"0 i.10
220 197 147 174 117 97 149 171 100 151
</pre>
 
=={{header|Java}}==
<syntaxhighlight lang="java">
public class ElementaryCellularAutomatonRandomNumberGenerator {
 
public static void main(String[] aArgs) {
final int seed = 989898989;
evolve(seed, 30);
}
private static void evolve(int aState, int aRule) {
long state = aState;
for ( int i = 0; i <= 9; i++ ) {
int b = 0;
for ( int q = 7; q >= 0; q-- ) {
long stateCopy = state;
b |= ( stateCopy & 1 ) << q;
state = 0;
for ( int j = 0; j < BIT_COUNT; j++ ) {
long t = ( stateCopy >>> ( j - 1 ) ) | ( stateCopy << ( BIT_COUNT + 1 - j ) ) & 7;
if ( ( aRule & ( 1L << t ) ) != 0 ) {
state |= 1 << j;
}
}
}
System.out.print(" " + b);
}
System.out.println();
}
private static final int BIT_COUNT = 64;
 
}
</syntaxhighlight>
{{ out }}
<pre>
231 223 191 126 253 251 247 239 223 191
</pre>
 
=={{header|jq}}==
'''Works with jq and gojq, the C and Go implementations of jq'''
 
The following also works with jaq, the Rust implementation of jq, provided
the "include" directive is replaced with the set of definitions from
the parent task, and that a suitable alternative to 100*"0" is
presented.
 
<syntaxhighlight lang=jq>
include "elementary-cellular-automaton" {search : "."};
 
# If using jq, the def of _nwise can be omitted.
def _nwise($n):
def n: if length <= $n then . else .[0:$n] , (.[$n:] | n) end;
n;
 
# Input: an array of bits represented by 0s, 1s, "0"s, or "1"s
# Output: the corresponding decimal on the assumption that the leading bits are least significant,
# e.g. [0,1] => 2
def binary2number:
reduce (.[]|tonumber) as $x ({p:1}; .n += .p * $x | .p *= 2) | .n;
("1" + 100 * "0" ) | [automaton(30; 80) | .[0:1]] | [_nwise(8) | reverse | binary2number]
</syntaxhighlight>
{{output}}
<pre>
[220,197,147,174,117,97,149,171,240,241]
</pre>
 
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<syntaxhighlight lang="raku" line>class Automaton {
has $.rule;
has @.cells handles <AT-POS>;
has @.code = $!rule.fmt('%08b').flip.comb».Int;
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my Automaton $a .= new: :rule(30), :cells( flat 1, 0 xx 100 );
 
say :2[$a++.cells[0] xx 8] xx 10;</syntaxhighlight>
{{out}}
<pre>220 197 147 174 117 97 149 171 240 241</pre>
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{{libheader|Wren-big}}
As Wren cannot deal accurately with 64-bit unsigned integers and bit-wise operations thereon, we need to use BigInt here.
<syntaxhighlight lang="ecmascriptwren">import "./big" for BigInt
 
var n = 64
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