### RFC: Cribbage::Hand

by Limbic~Region (Chancellor)
 on Mar 31, 2006 at 16:08 UTC Need Help??

All,
There have been a couple of posts that have come up on scoring cribbage hands. I decided to see if I could come up with a fast pure-perl way to score hands. You can see the result below.

Throw away code used to pre-generate some score calculations

```#!/usr/bin/perl
use strict;
use warnings;
use List::Util 'sum';

my %straight = (3 => \&straight_3, 4 => \&straight_4, 5 => \&straight_
+5);
my @deck = map { (\$_) x 4 } 1 .. 9;
push @deck, (10) x 16;

my \$iter = combo(5, @deck);
my %seen;

open(my \$fh, '>', 'crib.dat') or die \$!;
my \$n;
while (my @hand = \$iter->()) {
next if \$seen{"@hand"}++;
my %card;
++\$card{\$_} for @hand;
my \$score = 0;

# Determine if last card is 10
my \$is_10 = \$hand[-1] == 10 ? 1 : 0;

# if every card is < 10, calculate 2/3/4 of a kind
if (! \$is_10) {
\$score += \$_ * (\$_ - 1) for values %card;
}

# Can't possibly be a flush if 2/3/4 of a kind exceeds 1 pair
my \$check_flush = \$score > 2 ? 0 : 1;
# if every card is < 10, calculate straights
if (! \$is_10) {
my @val = sort {\$a <=> \$b} keys %card;
my (\$len, \$beg, \$end) = \$straight{@val}->(@val) if @val > 2; #
+ my and if together
if (\$len) { \$len *= \$card{\$_} for @val[\$beg .. \$end] }
\$score += \$len || 0;
}
# Calculate 15s
my \$fifteen = 0;
for (2 .. 5) {
my \$next = combo(\$_, @hand);
while (my \$sum = sum(\$next->())) {
++\$fifteen if \$sum == 15;
}
}
\$score += 2 * \$fifteen;
\$_ = \$_ == 10 ? 'T' : \$_ for @hand;
my \$flags = ! \$is_10 && ! \$check_flush ? 0 : \$is_10 && \$check_flus
+h ? 3 : \$is_10 ? 1 : 2;
\$score = sprintf("%.2d", \$score);
print \$fh join "", @hand, \$flags, \$score;
print \$fh "\n" if not ++\$n % 10;
}

sub straight_3 {
return (3, 0, 2) if \$_[1] - \$_[0] == 1 && \$_[2] - \$_[1] == 1;
}

sub straight_4 {
return (4, 0, 3) if \$_[1] - \$_[0] == 1 && \$_[2] - \$_[1] == 1 && \$_
+[3] - \$_[2] == 1;
return (3, 0, 2) if \$_[1] - \$_[0] == 1 && \$_[2] - \$_[1] == 1;
return (3, 1, 3) if \$_[2] - \$_[1] == 1 && \$_[3] - \$_[2] == 1;
}

sub straight_5 {
return (5, 0, 4) if \$_[1] - \$_[0] == 1 && \$_[2] - \$_[1] == 1 && \$_
+[3] - \$_[2] == 1 && \$_[4] - \$_[3] == 1;
return (4, 0, 3) if \$_[1] - \$_[0] == 1 && \$_[2] - \$_[1] == 1 && \$_
+[3] - \$_[2] == 1;
return (4, 1, 4) if \$_[2] - \$_[1] == 1 && \$_[3] - \$_[2] == 1 && \$_
+[4] - \$_[3] == 1;
return (3, 0, 2) if \$_[1] - \$_[0] == 1 && \$_[2] - \$_[1] == 1;
return (3, 1, 3) if \$_[2] - \$_[1] == 1 && \$_[3] - \$_[2] == 1;
return (3, 2, 4) if \$_[3] - \$_[2] == 1 && \$_[4] - \$_[3] == 1;
}

sub combo {
my \$by = shift;
return sub { () } if ! \$by || \$by =~ /\D/ || @_ < \$by;
my @list = @_;

my @position = (0 .. \$by - 2, \$by - 2);
my @stop     = @list - \$by .. \$#list;
my \$end_pos  = \$#position;
my \$done     = undef;

return sub {
return () if \$done;
my \$cur = \$end_pos;
{
if ( ++\$position[ \$cur ] > \$stop[ \$cur ] ) {
\$position[ --\$cur ]++;
redo if \$position[ \$cur ] > \$stop[ \$cur ];
my \$new_pos = \$position[ \$cur ];
@position[ \$cur .. \$end_pos ] = \$new_pos .. \$new_pos +
+ \$by;
}
}
\$done = 1 if \$position[0] == \$stop[0];
return @list[ @position ];
}
}

Module used to calculate score

```package Cribbage::Hand;
use strict;
use warnings;
use constant SCORE    => 0;
use constant HAS_10   => 1;
use constant CHK_FLSH => 2;

my %prescore;
{
while (<DATA>) {
chomp;
my \$temp = 'A8' x (length(\$_) / 8);
for (unpack(\$temp, \$_)) {
my \$hand = join ' ', map \$_ eq 'T' ? 10 : \$_, unpack('AAAA
+A', \$_);
my \$flag = substr(\$_, 5, 1);
my (\$has_10, \$chk_flsh) = \$flag == 0 ? (0, 0) : \$flag == 1
+ ? (1, 0) : \$flag == 2 ? (0, 1) : (1, 1);
my \$score = sprintf("%d", substr(\$_, -2));
\$prescore{\$hand} = [\$score, \$has_10, \$chk_flsh];
}
}
}

my %val = (
A => 1, 2 => 2, 3 => 3,  4 => 4,  5 => 5,  6 => 6, 7 => 7,
8 => 8, 9 => 9, T => 10, J => 10, Q => 10, K => 10,
);
my %ord = (
A => 1, 2 => 2, 3 => 3,  4 => 4,  5 => 5,  6 => 6, 7 => 7,
8 => 8, 9 => 9, T => 10, J => 11, Q => 12, K => 13,
);
my %rev = reverse %ord;

my %straight = (3 => \&straight_3, 4 => \&straight_4, 5 => \&straight_
+5);

sub straight_3 {
return (3, 0, 2) if \$_[1] - \$_[0] == 1 && \$_[2] - \$_[1] == 1;
}

sub straight_4 {
return (4, 0, 3) if \$_[1] - \$_[0] == 1 && \$_[2] - \$_[1] == 1 && \$_
+[3] - \$_[2] == 1;
return (3, 0, 2) if \$_[1] - \$_[0] == 1 && \$_[2] - \$_[1] == 1;
return (3, 1, 3) if \$_[2] - \$_[1] == 1 && \$_[3] - \$_[2] == 1;
}

sub straight_5 {
return (5, 0, 4) if \$_[1] - \$_[0] == 1 && \$_[2] - \$_[1] == 1 && \$_
+[3] - \$_[2] == 1 && \$_[4] - \$_[3] == 1;
return (4, 0, 3) if \$_[1] - \$_[0] == 1 && \$_[2] - \$_[1] == 1 && \$_
+[3] - \$_[2] == 1;
return (4, 1, 4) if \$_[2] - \$_[1] == 1 && \$_[3] - \$_[2] == 1 && \$_
+[4] - \$_[3] == 1;
return (3, 0, 2) if \$_[1] - \$_[0] == 1 && \$_[2] - \$_[1] == 1;
return (3, 1, 3) if \$_[2] - \$_[1] == 1 && \$_[3] - \$_[2] == 1;
return (3, 2, 4) if \$_[3] - \$_[2] == 1 && \$_[4] - \$_[3] == 1;
}

sub score {
my \$str = shift;
my %card;
++\$card{\$_} for unpack('AxAxAxAxAx', \$str);
my @by_val = sort {\$a <=> \$b} map { (\$val{\$_}) x \$card{\$_} } keys
+%card;
my \$info = \$prescore{"@by_val"};
my \$score = \$info->[SCORE];

# If T/J/Q/K need to ...
if (\$info->[HAS_10]) {
# Check for 2/3/4 of a kind
\$score += \$_ * (\$_ - 1) for values %card;

# Check for straights
my @val = sort {\$a <=> \$b} @ord{keys %card};
my (\$len, \$beg, \$end) = \$straight{@val}->(@val) if @val > 2; #
+ my and if together
if (\$len) { \$len *= \$card{\$rev{\$_}} for @val[\$beg .. \$end] }
\$score += \$len || 0;

# Check for right jack
my %jack = map { \$_ => 1 } substr(\$str, 0, 8) =~ /(?<=J)(.)/g;
++\$score if \$jack{ substr(\$str, -1, 1) };
}

# Check for flush
if (\$info->[CHK_FLSH]) {
my %suit = map {\$_ => undef} unpack('xAxAxAxA', \$str);
if (keys %suit == 1) {
\$score += 4;
\$score += 1 if substr(\$str, 1, 1) eq substr(\$str, -1, 1);
}
}
return \$score;
}
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Example code to score all 2,598,960 5-card hands

```#!/usr/bin/perl
use strict;
use warnings;
require Cribbage::Hand;

my @deck = map {\$_ . 'H', \$_ . 'S', \$_ . 'C', \$_ . 'D'} 2..9, qw/T J Q
+ K A/;
my \$next = combo(5, @deck);
while (my \$hand = join '', \$next->()) {
my \$score = Cribbage::Hand::score(\$hand);
print "\$hand\t\$score\n";
}

sub combo {
my \$by = shift;
return sub { () } if ! \$by || \$by =~ /\D/ || @_ < \$by;
my @list = @_;

my @position = (0 .. \$by - 2, \$by - 2);
my @stop     = @list - \$by .. \$#list;
my \$end_pos  = \$#position;
my \$done     = undef;

return sub {
return () if \$done;
my \$cur = \$end_pos;
{
if ( ++\$position[ \$cur ] > \$stop[ \$cur ] ) {
\$position[ --\$cur ]++;
redo if \$position[ \$cur ] > \$stop[ \$cur ];
my \$new_pos = \$position[ \$cur ];
@position[ \$cur .. \$end_pos ] = \$new_pos .. \$new_pos +
+ \$by;
}
}
\$done = 1 if \$position[0] == \$stop[0];
return @list[ @position ];
}
}

It should be noted that in Cribbage, the position of the 5th card matters for scoring so there are really 12,994,800 scoring hands. The same code can handle all of them in 15 minutes. Here are the results of generating and scoring 2.6 million hands on a 256MB 1.8 GHZ Windows XP box.

```sh-2.04\$ time ./example.pl

real    3m43.859s
user    3m12.483s
sys     0m0.062s

The primary purpose of this meditation is to ask if people think there is a need for this on the CPAN. In its current state, the code is not fit for the CPAN and may not even be free of bugs. It only has 1 non-exported sub but should probably be made to fit into Games::Cards::Cribbage. I am not really interested in this myself but would be happy to offer my code and ideas to someone who is.

Additionally, I am interested in hearing how people think the code may be improved from a performance perspective. I tried to precalculate as much as possible without consuming too much memory. It currently uses a hash with 1993 keys - each with a 3 element array.

Cheers - L~R

Update: I found 1 minor bug when writing the explanation to the code WRT flushes.

Replies are listed 'Best First'.
Re: RFC: Cribbage::Hand
by hv (Parson) on Mar 31, 2006 at 17:12 UTC

The primary purpose of this meditation is to ask if people think there is a need for this on the CPAN.

Need? Probably not, but that's no reason not to release it.

I suspect the majority of people that might come across it are people who'd really rather be writing their own, but there'll be the occasional one that is happy to grab someone else's version so they can concentrate on making the cards look pretty.

It would help the former group, though, if the code was clear, and showed a clear link between the various aspects of hand-scoring and the code that handled each. Most potential users will not care about the speed as long as scoring 4 or 5 hands doesn't involve a noticeable (0.5s or so) delay.

Hugo

hv,
You have good points. I just find it odd that with everything under the sun, there isn't already one out there. With regards to your point on clarity and explanation - let me take this opportunity now to do so.

#### Calculate Total Score

I am not sure how fast this is compared to other approaches but I think it is a great start for someone interested in working on a Games::Cards::Cribbage.

Cheers - L~R

Re: RFC: Cribbage::Hand
by Anonymous Monk on Apr 25, 2007 at 03:54 UTC
I would totally love to see it added. I have a website where I could use it right now: http://dailycribbagehand.org I'm already using perl there to generate a random hand. Nice work!
Anonymous Monk,
My life is pretty busy at the moment. I would be happy to assist you in getting the module on CPAN provided you are willing to take maintenance responsibility for it. Otherwise, you are welcome to use the code as is. You can contact me here privately by /msg Limbic~Region once you sign up for an account.

Cheers - L~R

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