Nimber arithmetic: Difference between revisions
Added Perl
(Added C++ solution) |
SqrtNegInf (talk | contribs) (Added Perl) |
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</pre>
=={{header|Perl}}==
{{trans|Raku}}
<lang perl>use strict;
use warnings;
use feature 'say';
use Math::AnyNum qw(:overload);
sub msb {
my($n, $base) = (shift, 0);
$base++ while $n >>= 1;
$base;
}
sub lsb {
my $n = shift;
msb($n & -$n);
}
sub nim_sum {
my($x,$y) = @_;
$x ^ $y
}
sub nim_prod {
no warnings qw(recursion);
my($x,$y) = @_;
return $x * $y if $x < 2 or $y < 2;
my $h = 2 ** lsb($x);
return nim_sum( nim_prod($h, $y), nim_prod(nim_sum($x,$h), $y)) if $x > $h;
return nim_prod($y,$x) if lsb($y) < msb($y);
return $x * $y unless my $comp = lsb($x) & lsb($y);
$h = 2 ** lsb($comp);
nim_prod(nim_prod(($x >> $h),($y >> $h)), (3 << ($h - 1)));
}
my $upto = 15;
for (['+', \&nim_sum], ['*', \&nim_prod]) {
my($op, $f) = @$_;
print " $op |"; printf '%3d', $_ for 0..$upto;
say "\n───┼" . ('────' x ($upto-3));
for my $r (0..$upto) {
printf('%2s |', $r);
printf '%3s', &$f($r, $_) for 0..$upto;
print "\n";
}
print "\n";
}
say nim_sum(21508, 42689);
say nim_prod(21508, 42689);
say nim_sum(2150821508215082150821508, 4268942689426894268942689);
say nim_prod(2150821508215082150821508, 4268942689426894268942689); # pretty slow</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
62149
35202
2722732241575131661744101
221974472829844568827862736061997038065</pre>
=={{header|Phix}}==
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