Nimber arithmetic: Difference between revisions
→{{header|Raku}}: Add a Raku example
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21508 + 42689 = 62149
21508 * 42689 = 35202
</pre>
=={{header|Raku}}==
{{works with|Rakudo|2020.05}}
{{trans|FreeBasic}}
(or at least, heavily inspired by)
<lang perl6>sub infix:<⊕> (Int $x, Int $y) { $x +^ $y }
sub infix:<⊗> (Int $x, Int $y) {
return $x * $y if so $x|$y < 2;
my $h = exp $x.lsb, 2;
return ($h ⊗ $y) ⊕ (($x ⊕ $h) ⊗ $y) if $x > $h;
return ($y ⊗ $x) if (exp $y.lsb, 2) < $y;
return $x * $y unless my $comp = $x.lsb +& $y.lsb;
$h = exp $comp.lsb, 2;
(($x +> $h) ⊗ ($y +> $h)) ⊗ (3 +< ($h - 1))
}
for '⊕', &infix:<⊕>,
'⊗', &infix:<⊗>
-> $op, &f {
print "\n\n\n $op | ", (^16)».fmt('%2s'), "\n", '-' x 3, '+', '-' x 49;
(^16).map: -> $r {
print "\n", $r.fmt('%2s'), ' |';
print &f($r, $_).fmt('%3s') for ^16;
}
}
put "\n\n";
put "21508 ⊕ 42689 = ", 21508 ⊕ 42689;
put "21508 ⊗ 42689 = ", 21508 ⊗ 42689;</lang>
{{out}}
<pre>
⊕ | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
---+-------------------------------------------------
0 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1 | 1 0 3 2 5 4 7 6 9 8 11 10 13 12 15 14
2 | 2 3 0 1 6 7 4 5 10 11 8 9 14 15 12 13
3 | 3 2 1 0 7 6 5 4 11 10 9 8 15 14 13 12
4 | 4 5 6 7 0 1 2 3 12 13 14 15 8 9 10 11
5 | 5 4 7 6 1 0 3 2 13 12 15 14 9 8 11 10
6 | 6 7 4 5 2 3 0 1 14 15 12 13 10 11 8 9
7 | 7 6 5 4 3 2 1 0 15 14 13 12 11 10 9 8
8 | 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7
9 | 9 8 11 10 13 12 15 14 1 0 3 2 5 4 7 6
10 | 10 11 8 9 14 15 12 13 2 3 0 1 6 7 4 5
11 | 11 10 9 8 15 14 13 12 3 2 1 0 7 6 5 4
12 | 12 13 14 15 8 9 10 11 4 5 6 7 0 1 2 3
13 | 13 12 15 14 9 8 11 10 5 4 7 6 1 0 3 2
14 | 14 15 12 13 10 11 8 9 6 7 4 5 2 3 0 1
15 | 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
⊗ | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
---+-------------------------------------------------
0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 | 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
2 | 0 2 3 1 8 10 11 9 12 14 15 13 4 6 7 5
3 | 0 3 1 2 12 15 13 14 4 7 5 6 8 11 9 10
4 | 0 4 8 12 6 2 14 10 11 15 3 7 13 9 5 1
5 | 0 5 10 15 2 7 8 13 3 6 9 12 1 4 11 14
6 | 0 6 11 13 14 8 5 3 7 1 12 10 9 15 2 4
7 | 0 7 9 14 10 13 3 4 15 8 6 1 5 2 12 11
8 | 0 8 12 4 11 3 7 15 13 5 1 9 6 14 10 2
9 | 0 9 14 7 15 6 1 8 5 12 11 2 10 3 4 13
10 | 0 10 15 5 3 9 12 6 1 11 14 4 2 8 13 7
11 | 0 11 13 6 7 12 10 1 9 2 4 15 14 5 3 8
12 | 0 12 4 8 13 1 9 5 6 10 2 14 11 7 15 3
13 | 0 13 6 11 9 4 15 2 14 3 8 5 7 10 1 12
14 | 0 14 7 9 5 11 2 12 10 4 13 3 15 1 8 6
15 | 0 15 5 10 1 14 4 11 2 13 7 8 3 12 6 9
21508 ⊕ 42689 = 62149
21508 ⊗ 42689 = 35202
</pre>
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