It is a little faster than my previous Perl attempts...

Benchmark: timing 100 iterations of BrowserUK, Inline::C, Algorithm::LUHN...
 BrowserUK: 46 wallclock secs (46.03 usr +  0.00 sys = 46.03 CPU) @  2.17/s (n=100)
 Inline::C:  1 wallclock secs ( 1.28 usr +  0.00 sys =  1.28 CPU) @ 78.12/s (n=100)
 Algorithm::LUHN: 49 wallclock secs (48.58 usr +  0.00 sys = 48.58 CPU) @  2.06/s (n=100)

But, it's not producing the right checksum digit. It should produce:

4011350000000008
4011350000000016
4011350000000024
4011350000000032
4011350000000040
4011350000000057
4011350000000065
4011350000000073
4011350000000081
4011350000000099
...

4011350000000000
4011350000000019
4011350000000028
4011350000000037
4011350000000046
4011350000000055
4011350000000064
4011350000000073
4011350000000082
4011350000000091
...

Sorry. I didn't account for 0-based indices! This produces the correct result:

#! perl -slw
use strict;
my @samples = qw[
    4011350000000008
    4011350000000016
    4011350000000024
    4011350000000032
    4011350000000040
    4011350000000057
    4011350000000065
    4011350000000073
    4011350000000081
    4011350000000099
];

sub luhn {
    my $total = 0;
    for my $i ( 0 .. length( $_[0] ) -1 ) {
        my $d = substr( $_[0], $i, 1 );
        unless( $i & 1 ) {
            $d *= 2;
            $d -=9 if $d > 9;
        }
        $total += $d;
    }
    $total *= 9;
    return substr $total, -1
}

for ( @samples ) {
    print "$_ : ", luhn( substr $_, 0, 15  );
}

__END__
C:\test>luhn
4011350000000008 : 8
4011350000000016 : 6
4011350000000024 : 4
4011350000000032 : 2
4011350000000040 : 0
4011350000000057 : 7
4011350000000065 : 5
4011350000000073 : 3
4011350000000081 : 1
4011350000000099 : 9
[download]

---

With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'

Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.

"Science is about questioning the status quo. Questioning authority". The enemy of (IT) success is complexity.

In the absence of evidence, opinion is indistinguishable from prejudice. Suck that fhit

Some micro-ops yeild a further 40%:

sub luhn {
    use integer;
    my $s = $_[ 0 ];
    my $total = 0;
    for my $i ( 0 .. 14 ) {
        my $d = substr( $s, $i, 1 );
        unless( $i & 1 ) {
            $d *= 2;
            $d -= 9 if $d > 9;
        }
        $total += $d;
    }
    $total *= 9;
    return chop $total;
}
[download]

---

With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'

Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.

"Science is about questioning the status quo. Questioning authority". The enemy of (IT) success is complexity.

In the absence of evidence, opinion is indistinguishable from prejudice. Suck that fhit

And an Inline::C implementation of the algorithm is 20x faster still:

#! perl -slw
use strict;
use Inline C => Config => BUILD_NOISY => 1;
use Inline C => <<'END_C',  NAME => '_luhn', CLEAN_AFTER_BUILD =>0;

int c_luhn( char *s ) {
    int i, total = 0;

    for( i=0; i < 15; ++i ) {
        int d = s[ i ] - '0';
        if( !( i  & 1 ) ) {
            d *= 2;
            if( d > 9 ) d -= 9;
        }
        total += d;
    }
    total *= 9;
    return total % 10;
}

END_C
use Time::HiRes qw[ time ];

my @samples = qw[
    4011350000000008
    4011350000000016
    4011350000000024
    4011350000000032
    4011350000000040
    4011350000000057
    4011350000000065
    4011350000000073
    4011350000000081
    4011350000000099
];

sub luhn {
    use integer;
    my $s = $_[ 0 ];
    my $total = 0;
    for my $i ( 0 .. 14 ) {
        my $d = substr( $s, $i, 1 );
        unless( $i & 1 ) {
            $d *= 2;
            $d -= 9 if $d > 9;
        }
        $total += $d;
    }
    $total *= 9;
    return chop $total;
}

for ( @samples ) {
    print "$_: ", luhn( substr $_, 0, 15 );
}

my $start = time;
for ( 401135000000000..401135000999999 ) {
    my $chk = luhn( $_ );
}
printf "Took %.9f seconds.\n", time() - $start;

for ( @samples ) {
    print "$_: ", c_luhn( $_ );
}

my $start = time;
for ( 401135000000000..401135000999999 ) {
    my $chk = c_luhn( $_ );
}
printf "Took %.9f seconds.\n", time() - $start;
[download]

---

With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'

Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.

"Science is about questioning the status quo. Questioning authority". The enemy of (IT) success is complexity.

In the absence of evidence, opinion is indistinguishable from prejudice. Suck that fhit