=head1 NAME

perlfaq4 - Data Manipulation ($Revision: 1.25 $, $Date: 1998/07/16 22:49:55 $)

=head1 DESCRIPTION

The section of the FAQ answers question related to the manipulation
of data as numbers, dates, strings, arrays, hashes, and miscellaneous
data issues.

=head1 Data: Numbers

=head2 Why am I getting long decimals (eg, 19.9499999999999) instead of the numbers I should be getting (eg, 19.95)?

The infinite set that a mathematician thinks of as the real numbers can
only be approximate on a computer, since the computer only has a finite
number of bits to store an infinite number of, um, numbers.

Internally, your computer represents floating-point numbers in binary.
Floating-point numbers read in from a file or appearing as literals
in your program are converted from their decimal floating-point
representation (eg, 19.95) to the internal binary representation.

However, 19.95 can't be precisely represented as a binary
floating-point number, just like 1/3 can't be exactly represented as a
decimal floating-point number.  The computer's binary representation
of 19.95, therefore, isn't exactly 19.95.

When a floating-point number gets printed, the binary floating-point
representation is converted back to decimal.  These decimal numbers
are displayed in either the format you specify with printf(), or the
current output format for numbers (see L<perlvar/"$#"> if you use
print.  C<$#> has a different default value in Perl5 than it did in
Perl4.  Changing C<$#> yourself is deprecated.

This affects B<all> computer languages that represent decimal
floating-point numbers in binary, not just Perl.  Perl provides
arbitrary-precision decimal numbers with the Math::BigFloat module
(part of the standard Perl distribution), but mathematical operations
are consequently slower.

To get rid of the superfluous digits, just use a format (eg,
C<printf("%.2f", 19.95)>) to get the required precision.
See L<perlop/"Floating-point Arithmetic">.

=head2 Why isn't my octal data interpreted correctly?

Perl only understands octal and hex numbers as such when they occur
as literals in your program.  If they are read in from somewhere and
assigned, no automatic conversion takes place.  You must explicitly
use oct() or hex() if you want the values converted.  oct() interprets
both hex ("0x350") numbers and octal ones ("0350" or even without the
leading "0", like "377"), while hex() only converts hexadecimal ones,
with or without a leading "0x", like "0x255", "3A", "ff", or "deadbeef".

This problem shows up most often when people try using chmod(), mkdir(),
umask(), or sysopen(), which all want permissions in octal.

    chmod(644,  $file);	# WRONG -- perl -w catches this
    chmod(0644, $file);	# right

=head2 Does perl have a round function?  What about ceil() and floor()?  Trig functions?

Remember that int() merely truncates toward 0.  For rounding to a
certain number of digits, sprintf() or printf() is usually the easiest
route.

    printf("%.3f", 3.1415926535);	# prints 3.142

The POSIX module (part of the standard perl distribution) implements
ceil(), floor(), and a number of other mathematical and trigonometric
functions.

    use POSIX;
    $ceil   = ceil(3.5);			# 4
    $floor  = floor(3.5);			# 3

In 5.000 to 5.003 Perls, trigonometry was done in the Math::Complex
module.  With 5.004, the Math::Trig module (part of the standard perl
distribution) implements the trigonometric functions. Internally it
uses the Math::Complex module and some functions can break out from
the real axis into the complex plane, for example the inverse sine of
2.

Rounding in financial applications can have serious implications, and
the rounding method used should be specified precisely.  In these
cases, it probably pays not to trust whichever system rounding is
being used by Perl, but to instead implement the rounding function you
need yourself.

=head2 How do I convert bits into ints?

To turn a string of 1s and 0s like C<10110110> into a scalar containing
its binary value, use the pack() function (documented in
L<perlfunc/"pack">):

    $decimal = pack('B8', '10110110');

Here's an example of going the other way:

    $binary_string = join('', unpack('B*', "\x29"));

=head2 How do I multiply matrices?

Use the Math::Matrix or Math::MatrixReal modules (available from CPAN)
or the PDL extension (also available from CPAN).

=head2 How do I perform an operation on a series of integers?

To call a function on each element in an array, and collect the
results, use:

    @results = map { my_func($_) } @array;

For example:

    @triple = map { 3 * $_ } @single;

To call a function on each element of an array, but ignore the
results:

    foreach $iterator (@array) {
        &my_func($iterator);
    }

To call a function on each integer in a (small) range, you B<can> use:

    @results = map { &my_func($_) } (5 .. 25);

but you should be aware that the C<..> operator creates an array of
all integers in the range.  This can take a lot of memory for large
ranges.  Instead use:

    @results = ();
    for ($i=5; $i < 500_005; $i++) {
        push(@results, &my_func($i));
    }

=head2 How can I output Roman numerals?

Get the http://www.perl.com/CPAN/modules/by-module/Roman module.

=head2 Why aren't my random numbers random?

The short explanation is that you're getting pseudorandom numbers, not
random ones, because computers are good at being predictable and bad
at being random (despite appearances caused by bugs in your programs
:-).  A longer explanation is available on
http://www.perl.com/CPAN/doc/FMTEYEWTK/random, courtesy of Tom
Phoenix.  John von Neumann said, ``Anyone who attempts to generate
random numbers by deterministic means is, of course, living in a state
of sin.''

You should also check out the Math::TrulyRandom module from CPAN.  It
uses the imperfections in your system's timer to generate random
numbers, but this takes quite a while.  If you want a better
pseudorandom generator than comes with your operating system, look at
``Numerical Recipes in C'' at http://nr.harvard.edu/nr/bookc.html .

=head1 Data: Dates

=head2 How do I find the week-of-the-year/day-of-the-year?

The day of the year is in the array returned by localtime() (see
L<perlfunc/"localtime">):

    $day_of_year = (localtime(time()))[7];

or more legibly (in 5.004 or higher):

    use Time::localtime;
    $day_of_year = localtime(time())->yday;

You can find the week of the year by dividing this by 7:

    $week_of_year = int($day_of_year / 7);

Of course, this believes that weeks start at zero.  The Date::Calc
module from CPAN has a lot of date calculation functions, including
day of the year, week of the year, and so on. 

=head2 How can I compare two dates and find the difference?

If you're storing your dates as epoch seconds then simply subtract one
from the other.  If you've got a structured date (distinct year, day,
month, hour, minute, seconds values) then use one of the Date::Manip
and Date::Calc modules from CPAN.

=head2 How can I take a string and turn it into epoch seconds?

If it's a regular enough string that it always has the same format,
you can split it up and pass the parts to C<timelocal> in the standard
Time::Local module.  Otherwise, you should look into the Date::Calc
and Date::Manip modules from CPAN.

=head2 How can I find the Julian Day?

Neither Date::Manip nor Date::Calc deal with Julian days.  Instead,
there is an example of Julian date calculation that should help you in
http://www.perl.com/CPAN/authors/David_Muir_Sharnoff/modules/Time/JulianDay.pm.gz
.

=head2 Does Perl have a year 2000 problem?  Is Perl Y2K compliant?

Short answer: No, Perl does not have a Year 2000 problem.  Yes, Perl
is Y2K compliant.

Long answer: Perl is just as Y2K compliant as your pencil--no more,
and no less.  The date and time functions supplied with perl (gmtime
and localtime) supply adequate information to determine the year well
beyond 2000 (2038 is when trouble strikes for 32-bit machines).  The
year returned by these functions when used in an array context is the
year minus 1900.  For years between 1910 and 1999 this I<happens> to
be a 2-digit decimal number. To avoid the year 2000 problem simply do
not treat the year as a 2-digit number.  It isn't.

When gmtime() and localtime() are used in scalar context they return
a timestamp string that contains a fully-expanded year.  For example,
C<$timestamp = gmtime(1005613200)> sets $timestamp to "Tue Nov 13 01:00:00
2001".  There's no year 2000 problem here.

That doesn't mean that Perl can't be used to create non-Y2K compliant
programs.  It can.  But so can your pencil.  It's the fault of the user,
not the language.  At the risk of inflaming the NRA: ``Perl doesn't
break Y2K, people do.''  See http://language.perl.com/news/y2k.html for
a longer exposition.

=head1 Data: Strings

=head2 How do I validate input?

The answer to this question is usually a regular expression, perhaps
with auxiliary logic.  See the more specific questions (numbers, mail
addresses, etc.) for details.

=head2 How do I unescape a string?

It depends just what you mean by ``escape''.  URL escapes are dealt
with in L<perlfaq9>.  Shell escapes with the backslash (C<\>)
character are removed with:

    s/\\(.)/$1/g;

This won't expand C<"\n"> or C<"\t"> or any other special escapes.

=head2 How do I remove consecutive pairs of characters?

To turn C<"abbcccd"> into C<"abccd">:

    s/(.)\1/$1/g;

=head2 How do I expand function calls in a string?

This is documented in L<perlref>.  In general, this is fraught with
quoting and readability problems, but it is possible.  To interpolate
a subroutine call (in list context) into a string:

    print "My sub returned @{[mysub(1,2,3)]} that time.\n";

If you prefer scalar context, similar chicanery is also useful for
arbitrary expressions:

    print "That yields ${\($n + 5)} widgets\n";

Version 5.004 of Perl had a bug that gave list context to the
expression in C<${...}>, but this is fixed in version 5.005.

See also ``How can I expand variables in text strings?'' in this
section of the FAQ.

=head2 How do I find matching/nesting anything?

This isn't something that can be done in one regular expression, no
matter how complicated.  To find something between two single
characters, a pattern like C</x([^x]*)x/> will get the intervening
bits in $1. For multiple ones, then something more like
C</alpha(.*?)omega/> would be needed.  But none of these deals with
nested patterns, nor can they.  For that you'll have to write a
parser.

If you are serious about writing a parser, there are a number of
modules or oddities that will make your life a lot easier.  There is
the CPAN module Parse::RecDescent, the standard module Text::Balanced,
the byacc program, and Mark-Jason Dominus's excellent I<py> tool at
http://www.plover.com/~mjd/perl/py/ .

One simple destructive, inside-out approach that you might try is to
pull out the smallest nesting parts one at a time:

    while (s//BEGIN((?:(?!BEGIN)(?!END).)*)END/gs) {
	# do something with $1
    } 

=head2 How do I reverse a string?

Use reverse() in scalar context, as documented in
L<perlfunc/reverse>.

    $reversed = reverse $string;

=head2 How do I expand tabs in a string?

You can do it yourself:

    1 while $string =~ s/\t+/' ' x (length($&) * 8 - length($`) % 8)/e;

Or you can just use the Text::Tabs module (part of the standard perl
distribution).

    use Text::Tabs;
    @expanded_lines = expand(@lines_with_tabs);

=head2 How do I reformat a paragraph?

Use Text::Wrap (part of the standard perl distribution):

    use Text::Wrap;
    print wrap("\t", '  ', @paragraphs);

The paragraphs you give to Text::Wrap should not contain embedded
newlines.  Text::Wrap doesn't justify the lines (flush-right).

=head2 How can I access/change the first N letters of a string?

There are many ways.  If you just want to grab a copy, use
substr():

    $first_byte = substr($a, 0, 1);

If you want to modify part of a string, the simplest way is often to
use substr() as an lvalue:

    substr($a, 0, 3) = "Tom";

Although those with a pattern matching kind of thought process will
likely prefer:

    $a =~ s/^.../Tom/;

=head2 How do I change the Nth occurrence of something?

You have to keep track of N yourself.  For example, let's say you want
to change the fifth occurrence of C<"whoever"> or C<"whomever"> into
C<"whosoever"> or C<"whomsoever">, case insensitively.

    $count = 0;
    s{((whom?)ever)}{
	++$count == 5   	# is it the 5th?
	    ? "${2}soever"	# yes, swap
	    : $1		# renege and leave it there
    }igex;

In the more general case, you can use the C</g> modifier in a C<while>
loop, keeping count of matches.

    $WANT = 3;
    $count = 0;
    while (/(\w+)\s+fish\b/gi) {
        if (++$count == $WANT) {
            print "The third fish is a $1 one.\n";
            # Warning: don't `last' out of this loop
        }
    }

That prints out: C<"The third fish is a red one.">  You can also use a
repetition count and repeated pattern like this:

    /(?:\w+\s+fish\s+){2}(\w+)\s+fish/i;

=head2 How can I count the number of occurrences of a substring within a string?

There are a number of ways, with varying efficiency: If you want a
count of a certain single character (X) within a string, you can use the
C<tr///> function like so:

    $string = "ThisXlineXhasXsomeXx'sXinXit":
    $count = ($string =~ tr/X//);
    print "There are $count X charcters in the string";

This is fine if you are just looking for a single character.  However,
if you are trying to count multiple character substrings within a
larger string, C<tr///> won't work.  What you can do is wrap a while()
loop around a global pattern match.  For example, let's count negative
integers:

    $string = "-9 55 48 -2 23 -76 4 14 -44";
    while ($string =~ /-\d+/g) { $count++ }
    print "There are $count negative numbers in the string";

=head2 How do I capitalize all the words on one line?

To make the first letter of each word upper case:

        $line =~ s/\b(\w)/\U$1/g;

This has the strange effect of turning "C<don't do it>" into "C<Don'T
Do It>".  Sometimes you might want this, instead (Suggested by Brian
Foy):

    $string =~ s/ (
                 (^\w)    #at the beginning of the line
                   |      # or
                 (\s\w)   #preceded by whitespace
                   )
                /\U$1/xg;
    $string =~ /([\w']+)/\u\L$1/g;

To make the whole line upper case:

        $line = uc($line);

To force each word to be lower case, with the first letter upper case:

        $line =~ s/(\w+)/\u\L$1/g;

You can (and probably should) enable locale awareness of those
characters by placing a C<use locale> pragma in your program.
See L<perllocale> for endless details on locales.

=head2 How can I split a [character] delimited string except when inside
[character]? (Comma-separated files)

Take the example case of trying to split a string that is comma-separated
into its different fields.  (We'll pretend you said comma-separated, not
comma-delimited, which is different and almost never what you mean.) You
can't use C<split(/,/)> because you shouldn't split if the comma is inside
quotes.  For example, take a data line like this:

    SAR001,"","Cimetrix, Inc","Bob Smith","CAM",N,8,1,0,7,"Error, Core Dumped"

Due to the restriction of the quotes, this is a fairly complex
problem.  Thankfully, we have Jeffrey Friedl, author of a highly
recommended book on regular expressions, to handle these for us.  He
suggests (assuming your string is contained in $text):

     @new = ();
     push(@new, $+) while $text =~ m{
         "([^\"\\]*(?:\\.[^\"\\]*)*)",?  # groups the phrase inside the quotes
       | ([^,]+),?
       | ,
     }gx;
     push(@new, undef) if substr($text,-1,1) eq ',';

If you want to represent quotation marks inside a
quotation-mark-delimited field, escape them with backslashes (eg,
C<"like \"this\"">.  Unescaping them is a task addressed earlier in
this section.

Alternatively, the Text::ParseWords module (part of the standard perl
distribution) lets you say:

    use Text::ParseWords;
    @new = quotewords(",", 0, $text);

=head2 How do I strip blank space from the beginning/end of a string?

Although the simplest approach would seem to be:

    $string =~ s/^\s*(.*?)\s*$/$1/;

This is unneccesarily slow, destructive, and fails with embedded newlines.
It is much better faster to do this in two steps:

    $string =~ s/^\s+//;
    $string =~ s/\s+$//;

Or more nicely written as:

    for ($string) {
	s/^\s+//;
	s/\s+$//;
    }

This idiom takes advantage of the C<for(each)> loop's aliasing
behavior to factor out common code.  You can do this
on several strings at once, or arrays, or even the 
values of a hash if you use a slide:

    # trim whitespace in the scalar, the array, 
    # and all the values in the hash
    foreach ($scalar, @array, @hash{keys %hash}) {
        s/^\s+//;
        s/\s+$//;
    }

=head2 How do I extract selected columns from a string?

Use substr() or unpack(), both documented in L<perlfunc>.
If you prefer thinking in terms of columns instead of widths, 
you can use this kind of thing:

    # determine the unpack format needed to split Linux ps output
    # arguments are cut columns
    my $fmt = cut2fmt(8, 14, 20, 26, 30, 34, 41, 47, 59, 63, 67, 72);

    sub cut2fmt { 
	my(@positions) = @_;
	my $template  = '';
	my $lastpos   = 1;
	for my $place (@positions) {
	    $template .= "A" . ($place - $lastpos) . " "; 
	    $lastpos   = $place;
	}
	$template .= "A*";
	return $template;
    }

=head2 How do I find the soundex value of a string?

Use the standard Text::Soundex module distributed with perl.

=head2 How can I expand variables in text strings?

Let's assume that you have a string like:

    $text = 'this has a $foo in it and a $bar';

If those were both global variables, then this would
suffice:

    $text =~ s/\$(\w+)/${$1}/g;

But since they are probably lexicals, or at least, they could
be, you'd have to do this:

    $text =~ s/(\$\w+)/$1/eeg;
    die if $@;			# needed on /ee, not /e

It's probably better in the general case to treat those
variables as entries in some special hash.  For example:

    %user_defs = ( 
	foo  => 23,
	bar  => 19,
    );
    $text =~ s/\$(\w+)/$user_defs{$1}/g;

See also ``How do I expand function calls in a string?'' in this section
of the FAQ.

=head2 What's wrong with always quoting "$vars"?

The problem is that those double-quotes force stringification,
coercing numbers and references into strings, even when you
don't want them to be.

If you get used to writing odd things like these:

    print "$var";   	# BAD
    $new = "$old";   	# BAD
    somefunc("$var");	# BAD

You'll be in trouble.  Those should (in 99.8% of the cases) be
the simpler and more direct:

    print $var;
    $new = $old;
    somefunc($var);

Otherwise, besides slowing you down, you're going to break code when
the thing in the scalar is actually neither a string nor a number, but
a reference:

    func(\@array);
    sub func {
	my $aref = shift;
	my $oref = "$aref";  # WRONG
    }

You can also get into subtle problems on those few operations in Perl
that actually do care about the difference between a string and a
number, such as the magical C<++> autoincrement operator or the
syscall() function.

Stringification also destroys arrays.  

    @lines = `command`;
    print "@lines";		# WRONG - extra blanks
    print @lines;		# right

=head2 Why don't my <<HERE documents work?

Check for these three things:

=over 4

=item 1. There must be no space after the << part.

=item 2. There (probably) should be a semicolon at the end.

=item 3. You can't (easily) have any space in front of the tag.

=back

If you want to indent the text in the here document, you 
can do this:

    # all in one
    ($VAR = <<HERE_TARGET) =~ s/^\s+//gm;
        your text
        goes here
    HERE_TARGET

But the HERE_TARGET must still be flush against the margin.
If you want that indented also, you'll have to quote 
in the indentation.

    ($quote = <<'    FINIS') =~ s/^\s+//gm;
            ...we will have peace, when you and all your works have
            perished--and the works of your dark master to whom you
            would deliver us. You are a liar, Saruman, and a corrupter
            of men's hearts.  --Theoden in /usr/src/perl/taint.c
        FINIS
    $quote =~ s/\s*--/\n--/;

A nice general-purpose fixer-upper function for indented here documents
follows.  It expects to be called with a here document as its argument.
It looks to see whether each line begins with a common substring, and
if so, strips that off.  Otherwise, it takes the amount of leading
white space found on the first line and removes that much off each
subsequent line.

    sub fix {
        local $_ = shift;
        my ($white, $leader);  # common white space and common leading string
        if (/^\s*(?:([^\w\s]+)(\s*).*\n)(?:\s*\1\2?.*\n)+$/) {
            ($white, $leader) = ($2, quotemeta($1));
        } else {
            ($white, $leader) = (/^(\s+)/, '');
        }
        s/^\s*?$leader(?:$white)?//gm;
        return $_;
    }

This works with leading special strings, dynamically determined:

    $remember_the_main = fix<<'    MAIN_INTERPRETER_LOOP';
	@@@ int
	@@@ runops() {
	@@@     SAVEI32(runlevel);
	@@@     runlevel++;
	@@@     while ( op = (*op->op_ppaddr)() ) ;
	@@@     TAINT_NOT;
	@@@     return 0;
	@@@ }
    MAIN_INTERPRETER_LOOP

Or with a fixed amount of leading white space, with remaining
indentation correctly preserved:

    $poem = fix<<EVER_ON_AND_ON;
       Now far ahead the Road has gone,
	  And I must follow, if I can,
       Pursuing it with eager feet,
	  Until it joins some larger way
       Where many paths and errands meet.
	  And whither then? I cannot say.
		--Bilbo in /usr/src/perl/pp_ctl.c
    EVER_ON_AND_ON

=head1 Data: Arrays

=head2 What is the difference between $array[1] and @array[1]?

The former is a scalar value, the latter an array slice, which makes
it a list with one (scalar) value.  You should use $ when you want a
scalar value (most of the time) and @ when you want a list with one
scalar value in it (very, very rarely; nearly never, in fact).

Sometimes it doesn't make a difference, but sometimes it does.
For example, compare:

    $good[0] = `some program that outputs several lines`;

with

    @bad[0]  = `same program that outputs several lines`;

The B<-w> flag will warn you about these matters.

=head2 How can I extract just the unique elements of an array?

There are several possible ways, depending on whether the array is
ordered and whether you wish to preserve the ordering.

=over 4

=item a) If @in is sorted, and you want @out to be sorted:
(this assumes all true values in the array)

    $prev = 'nonesuch';
    @out = grep($_ ne $prev && ($prev = $_), @in);

This is nice in that it doesn't use much extra memory, simulating
uniq(1)'s behavior of removing only adjacent duplicates.  It's less
nice in that it won't work with false values like undef, 0, or "";
"0 but true" is ok, though.

=item b) If you don't know whether @in is sorted:

    undef %saw;
    @out = grep(!$saw{$_}++, @in);

=item c) Like (b), but @in contains only small integers:

    @out = grep(!$saw[$_]++, @in);

=item d) A way to do (b) without any loops or greps:

    undef %saw;
    @saw{@in} = ();
    @out = sort keys %saw;  # remove sort if undesired

=item e) Like (d), but @in contains only small positive integers:

    undef @ary;
    @ary[@in] = @in;
    @out = @ary;

=back

=head2 How can I tell whether a list or array contains a certain element?

Hearing the word "in" is an I<in>dication that you probably should have
used a hash, not a list or array, to store your data.  Hashes are
designed to answer this question quickly and efficiently.  Arrays aren't.

That being said, there are several ways to approach this.  If you
are going to make this query many times over arbitrary string values,
the fastest way is probably to invert the original array and keep an
associative array lying about whose keys are the first array's values.

    @blues = qw/azure cerulean teal turquoise lapis-lazuli/;
    undef %is_blue;
    for (@blues) { $is_blue{$_} = 1 }

Now you can check whether $is_blue{$some_color}.  It might have been a
good idea to keep the blues all in a hash in the first place.

If the values are all small integers, you could use a simple indexed
array.  This kind of an array will take up less space:

    @primes = (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31);
    undef @is_tiny_prime;
    for (@primes) { $is_tiny_prime[$_] = 1; }

Now you check whether $is_tiny_prime[$some_number].

If the values in question are integers instead of strings, you can save
quite a lot of space by using bit strings instead:

    @articles = ( 1..10, 150..2000, 2017 );
    undef $read;
    for (@articles) { vec($read,$_,1) = 1 }

Now check whether C<vec($read,$n,1)> is true for some C<$n>.

Please do not use

    $is_there = grep $_ eq $whatever, @array;

or worse yet

    $is_there = grep /$whatever/, @array;

These are slow (checks every element even if the first matches),
inefficient (same reason), and potentially buggy (what if there are
regexp characters in $whatever?).

=head2 How do I compute the difference of two arrays?  How do I compute the intersection of two arrays?

Use a hash.  Here's code to do both and more.  It assumes that
each element is unique in a given array:

    @union = @intersection = @difference = ();
    %count = ();
    foreach $element (@array1, @array2) { $count{$element}++ }
    foreach $element (keys %count) {
	push @union, $element;
	push @{ $count{$element} > 1 ? \@intersection : \@difference }, $element;
    }

=head2 How do I find the first array element for which a condition is true?

You can use this if you care about the index:

    for ($i=0; $i < @array; $i++) {
        if ($array[$i] eq "Waldo") {
	    $found_index = $i;
            last;
        }
    }

Now C<$found_index> has what you want.

=head2 How do I handle linked lists?

In general, you usually don't need a linked list in Perl, since with
regular arrays, you can push and pop or shift and unshift at either end,
or you can use splice to add and/or remove arbitrary number of elements at
arbitrary points.  Both pop and shift are both O(1) operations on perl's
dynamic arrays.  In the absence of shifts and pops, push in general
needs to reallocate on the order every log(N) times, and unshift will
need to copy pointers each time.

If you really, really wanted, you could use structures as described in
L<perldsc> or L<perltoot> and do just what the algorithm book tells you
to do.

=head2 How do I handle circular lists?

Circular lists could be handled in the traditional fashion with linked
lists, or you could just do something like this with an array:

    unshift(@array, pop(@array));  # the last shall be first
    push(@array, shift(@array));   # and vice versa

=head2 How do I shuffle an array randomly?

Use this:

    # fisher_yates_shuffle( \@array ) : 
    # generate a random permutation of @array in place
    sub fisher_yates_shuffle {
        my $array = shift;
        my $i;
        for ($i = @$array; --$i; ) {
            my $j = int rand ($i+1);
            next if $i == $j;
            @$array[$i,$j] = @$array[$j,$i];
        }
    }

    fisher_yates_shuffle( \@array );    # permutes @array in place

You've probably seen shuffling algorithms that works using splice,
randomly picking another element to swap the current element with:

    srand;
    @new = ();
    @old = 1 .. 10;  # just a demo
    while (@old) {
	push(@new, splice(@old, rand @old, 1));
    }

This is bad because splice is already O(N), and since you do it N times,
you just invented a quadratic algorithm; that is, O(N**2).  This does
not scale, although Perl is so efficient that you probably won't notice
this until you have rather largish arrays.

=head2 How do I process/modify each element of an array?

Use C<for>/C<foreach>:

    for (@lines) {
	s/foo/bar/;	# change that word
	y/XZ/ZX/;	# swap those letters
    }

Here's another; let's compute spherical volumes:

    for (@volumes = @radii) {   # @volumes has changed parts
	$_ **= 3;
	$_ *= (4/3) * 3.14159;  # this will be constant folded
    }

If you want to do the same thing to modify the values of the hash,
you may not use the C<values> function, oddly enough.  You need a slice:

    for $orbit ( @orbits{keys %orbits} ) {
	($orbit **= 3) *= (4/3) * 3.14159; 
    }

=head2 How do I select a random element from an array?

Use the rand() function (see L<perlfunc/rand>):

    # at the top of the program:
    srand;			# not needed for 5.004 and later

    # then later on
    $index   = rand @array;
    $element = $array[$index];

Make sure you I<only call srand once per program, if then>.
If you are calling it more than once (such as before each 
call to rand), you're almost certainly doing something wrong.

=head2 How do I permute N elements of a list?

Here's a little program that generates all permutations
of all the words on each line of input.  The algorithm embodied
in the permute() function should work on any list:

    #!/usr/bin/perl -n
    # tsc-permute: permute each word of input
    permute([split], []);
    sub permute {
        my @items = @{ $_[0] };
        my @perms = @{ $_[1] };
        unless (@items) {
            print "@perms\n";
	} else {
            my(@newitems,@newperms,$i);
            foreach $i (0 .. $#items) {
                @newitems = @items;
                @newperms = @perms;
                unshift(@newperms, splice(@newitems, $i, 1));
                permute([@newitems], [@newperms]);
	    }
	}
    }

=head2 How do I sort an array by (anything)?

Supply a comparison function to sort() (described in L<perlfunc/sort>):

    @list = sort { $a <=> $b } @list;

The default sort function is cmp, string comparison, which would
sort C<(1, 2, 10)> into C<(1, 10, 2)>.  C<E<lt>=E<gt>>, used above, is
the numerical comparison operator.

If you have a complicated function needed to pull out the part you
want to sort on, then don't do it inside the sort function.  Pull it
out first, because the sort BLOCK can be called many times for the
same element.  Here's an example of how to pull out the first word
after the first number on each item, and then sort those words
case-insensitively.

    @idx = ();
    for (@data) {
	($item) = /\d+\s*(\S+)/;
	push @idx, uc($item);
    }
    @sorted = @data[ sort { $idx[$a] cmp $idx[$b] } 0 .. $#idx ];

Which could also be written this way, using a trick
that's come to be known as the Schwartzian Transform:

    @sorted = map  { $_->[0] }
	      sort { $a->[1] cmp $b->[1] }
	      map  { [ $_, uc((/\d+\s*(\S+)/ )[0] ] } @data;

If you need to sort on several fields, the following paradigm is useful.

    @sorted = sort { field1($a) <=> field1($b) ||
                     field2($a) cmp field2($b) ||
                     field3($a) cmp field3($b)
                   }     @data;

This can be conveniently combined with precalculation of keys as given
above.

See http://www.perl.com/CPAN/doc/FMTEYEWTK/sort.html for more about
this approach.

See also the question below on sorting hashes.

=head2 How do I manipulate arrays of bits?

Use pack() and unpack(), or else vec() and the bitwise operations.

For example, this sets $vec to have bit N set if $ints[N] was set:

    $vec = '';
    foreach(@ints) { vec($vec,$_,1) = 1 }

And here's how, given a vector in $vec, you can
get those bits into your @ints array:

    sub bitvec_to_list {
	my $vec = shift;
	my @ints;
	# Find null-byte density then select best algorithm
	if ($vec =~ tr/\0// / length $vec > 0.95) {
	    use integer;
	    my $i;
	    # This method is faster with mostly null-bytes
	    while($vec =~ /[^\0]/g ) {
		$i = -9 + 8 * pos $vec;
		push @ints, $i if vec($vec, ++$i, 1);
		push @ints, $i if vec($vec, ++$i, 1);
		push @ints, $i if vec($vec, ++$i, 1);
		push @ints, $i if vec($vec, ++$i, 1);
		push @ints, $i if vec($vec, ++$i, 1);
		push @ints, $i if vec($vec, ++$i, 1);
		push @ints, $i if vec($vec, ++$i, 1);
		push @ints, $i if vec($vec, ++$i, 1);
	    }
	} else {
	    # This method is a fast general algorithm
	    use integer;
	    my $bits = unpack "b*", $vec;
	    push @ints, 0 if $bits =~ s/^(\d)// && $1;
	    push @ints, pos $bits while($bits =~ /1/g);
	}
	return \@ints;
    }

This method gets faster the more sparse the bit vector is.
(Courtesy of Tim Bunce and Winfried Koenig.)

=head2 Why does defined() return true on empty arrays and hashes?

See L<perlfunc/defined> in the 5.004 release or later of Perl.

=head1 Data: Hashes (Associative Arrays)

=head2 How do I process an entire hash?

Use the each() function (see L<perlfunc/each>) if you don't care
whether it's sorted:

    while ( ($key, $value) = each %hash) {
	print "$key = $value\n";
    }

If you want it sorted, you'll have to use foreach() on the result of
sorting the keys as shown in an earlier question.

=head2 What happens if I add or remove keys from a hash while iterating over it?

Don't do that.

=head2 How do I look up a hash element by value?

Create a reverse hash:

    %by_value = reverse %by_key;
    $key = $by_value{$value};

That's not particularly efficient.  It would be more space-efficient
to use:

    while (($key, $value) = each %by_key) {
	$by_value{$value} = $key;
    }

If your hash could have repeated values, the methods above will only
find one of the associated keys.   This may or may not worry you.

=head2 How can I know how many entries are in a hash?

If you mean how many keys, then all you have to do is
take the scalar sense of the keys() function:

    $num_keys = scalar keys %hash;

In void context it just resets the iterator, which is faster
for tied hashes.

=head2 How do I sort a hash (optionally by value instead of key)?

Internally, hashes are stored in a way that prevents you from imposing
an order on key-value pairs.  Instead, you have to sort a list of the
keys or values:

    @keys = sort keys %hash;	# sorted by key
    @keys = sort {
		    $hash{$a} cmp $hash{$b}
	    } keys %hash; 	# and by value

Here we'll do a reverse numeric sort by value, and if two keys are
identical, sort by length of key, and if that fails, by straight ASCII
comparison of the keys (well, possibly modified by your locale -- see
L<perllocale>).

    @keys = sort {
		$hash{$b} <=> $hash{$a}
			  ||
		length($b) <=> length($a)
			  ||
		      $a cmp $b
    } keys %hash;

=head2 How can I always keep my hash sorted?

You can look into using the DB_File module and tie() using the
$DB_BTREE hash bindings as documented in L<DB_File/"In Memory Databases">.
The Tie::IxHash module from CPAN might also be instructive.

=head2 What's the difference between "delete" and "undef" with hashes?

Hashes are pairs of scalars: the first is the key, the second is the
value.  The key will be coerced to a string, although the value can be
any kind of scalar: string, number, or reference.  If a key C<$key> is
present in the array, C<exists($key)> will return true.  The value for
a given key can be C<undef>, in which case C<$array{$key}> will be
C<undef> while C<$exists{$key}> will return true.  This corresponds to
(C<$key>, C<undef>) being in the hash.

Pictures help...  here's the C<%ary> table:

	  keys  values
	+------+------+
	|  a   |  3   |
	|  x   |  7   |
	|  d   |  0   |
	|  e   |  2   |
	+------+------+

And these conditions hold

	$ary{'a'}                       is true
	$ary{'d'}                       is false
	defined $ary{'d'}               is true
	defined $ary{'a'}               is true
	exists $ary{'a'}                is true (perl5 only)
	grep ($_ eq 'a', keys %ary)     is true

If you now say

	undef $ary{'a'}

your table now reads:


	  keys  values
	+------+------+
	|  a   | undef|
	|  x   |  7   |
	|  d   |  0   |
	|  e   |  2   |
	+------+------+

and these conditions now hold; changes in caps:

	$ary{'a'}                       is FALSE
	$ary{'d'}                       is false
	defined $ary{'d'}               is true
	defined $ary{'a'}               is FALSE
	exists $ary{'a'}                is true (perl5 only)
	grep ($_ eq 'a', keys %ary)     is true

Notice the last two: you have an undef value, but a defined key!

Now, consider this:

	delete $ary{'a'}

your table now reads:

	  keys  values
	+------+------+
	|  x   |  7   |
	|  d   |  0   |
	|  e   |  2   |
	+------+------+

and these conditions now hold; changes in caps:

	$ary{'a'}                       is false
	$ary{'d'}                       is false
	defined $ary{'d'}               is true
	defined $ary{'a'}               is false
	exists $ary{'a'}                is FALSE (perl5 only)
	grep ($_ eq 'a', keys %ary)     is FALSE

See, the whole entry is gone!

=head2 Why don't my tied hashes make the defined/exists distinction?

They may or may not implement the EXISTS() and DEFINED() methods
differently.  For example, there isn't the concept of undef with hashes
that are tied to DBM* files. This means the true/false tables above
will give different results when used on such a hash.  It also means
that exists and defined do the same thing with a DBM* file, and what
they end up doing is not what they do with ordinary hashes.

=head2 How do I reset an each() operation part-way through?

Using C<keys %hash> in scalar context returns the number of keys in
the hash I<and> resets the iterator associated with the hash.  You may
need to do this if you use C<last> to exit a loop early so that when you
re-enter it, the hash iterator has been reset.

=head2 How can I get the unique keys from two hashes?

First you extract the keys from the hashes into arrays, and then solve
the uniquifying the array problem described above.  For example:

    %seen = ();
    for $element (keys(%foo), keys(%bar)) {
	$seen{$element}++;
    }
    @uniq = keys %seen;

Or more succinctly:

    @uniq = keys %{{%foo,%bar}};

Or if you really want to save space:

    %seen = ();
    while (defined ($key = each %foo)) {
        $seen{$key}++;
    }
    while (defined ($key = each %bar)) {
        $seen{$key}++;
    }
    @uniq = keys %seen;

=head2 How can I store a multidimensional array in a DBM file?

Either stringify the structure yourself (no fun), or else
get the MLDBM (which uses Data::Dumper) module from CPAN and layer
it on top of either DB_File or GDBM_File.

=head2 How can I make my hash remember the order I put elements into it?

Use the Tie::IxHash from CPAN.

    use Tie::IxHash;
    tie(%myhash, Tie::IxHash);
    for ($i=0; $i<20; $i++) {
        $myhash{$i} = 2*$i;
    }
    @keys = keys %myhash;
    # @keys = (0,1,2,3,...)

=head2 Why does passing a subroutine an undefined element in a hash create it?

If you say something like:

    somefunc($hash{"nonesuch key here"});

Then that element "autovivifies"; that is, it springs into existence
whether you store something there or not.  That's because functions
get scalars passed in by reference.  If somefunc() modifies C<$_[0]>,
it has to be ready to write it back into the caller's version.

This has been fixed as of perl5.004.

Normally, merely accessing a key's value for a nonexistent key does
I<not> cause that key to be forever there.  This is different than
awk's behavior.

=head2 How can I make the Perl equivalent of a C structure/C++ class/hash or array of hashes or arrays?

Use references (documented in L<perlref>).  Examples of complex data
structures are given in L<perldsc> and L<perllol>.  Examples of
structures and object-oriented classes are in L<perltoot>.

=head2 How can I use a reference as a hash key?

You can't do this directly, but you could use the standard Tie::Refhash
module distributed with perl.

=head1 Data: Misc

=head2 How do I handle binary data correctly?

Perl is binary clean, so this shouldn't be a problem.  For example,
this works fine (assuming the files are found):

    if (`cat /vmunix` =~ /gzip/) {
	print "Your kernel is GNU-zip enabled!\n";
    }

On some systems, however, you have to play tedious games with "text"
versus "binary" files.  See L<perlfunc/"binmode">.

If you're concerned about 8-bit ASCII data, then see L<perllocale>.

If you want to deal with multibyte characters, however, there are
some gotchas.  See the section on Regular Expressions.

=head2 How do I determine whether a scalar is a number/whole/integer/float?

Assuming that you don't care about IEEE notations like "NaN" or
"Infinity", you probably just want to use a regular expression.

   warn "has nondigits"        if     /\D/;
    warn "not a natural number" unless /^\d+$/;             # rejects -3
    warn "not an integer"       unless /^-?\d+$/;           # rejects +3
   warn "not an integer"       unless /^[+-]?\d+$/;
   warn "not a decimal number" unless /^-?\d+\.?\d*$/;  # rejects .2
   warn "not a decimal number" unless /^-?(?:\d+(?:\.\d*)?|\.\d+)$/;
   warn "not a C float"
       unless /^([+-]?)(?=\d|\.\d)\d*(\.\d*)?([Ee]([+-]?\d+))?$/;

If you're on a POSIX system, Perl's supports the C<POSIX::strtod>
function.  Its semantics are somewhat cumbersome, so here's a C<getnum>
wrapper function for more convenient access.  This function takes
a string and returns the number it found, or C<undef> for input that
isn't a C float.  The C<is_numeric> function is a front end to C<getnum>
if you just want to say, ``Is this a float?''

    sub getnum {
        use POSIX qw(strtod);
        my $str = shift;
        $str =~ s/^\s+//;
        $str =~ s/\s+$//;
        $! = 0;
        my($num, $unparsed) = strtod($str);
        if (($str eq '') || ($unparsed != 0) || $!) {
            return undef;
        } else {
            return $num;
        } 
    } 

    sub is_numeric { defined &getnum } 

Or you could check out
http://www.perl.com/CPAN/modules/by-module/String/String-Scanf-1.1.tar.gz
instead.  The POSIX module (part of the standard Perl distribution)
provides the C<strtol> and C<strtod> for converting strings to double
and longs, respectively.

=head2 How do I keep persistent data across program calls?

For some specific applications, you can use one of the DBM modules.
See L<AnyDBM_File>.  More generically, you should consult the
FreezeThaw, Storable, or Class::Eroot modules from CPAN.

=head2 How do I print out or copy a recursive data structure?

The Data::Dumper module on CPAN is nice for printing out
data structures, and FreezeThaw for copying them.  For example:

    use FreezeThaw qw(freeze thaw);
    $new = thaw freeze $old;

Where $old can be (a reference to) any kind of data structure you'd like.
It will be deeply copied.

=head2 How do I define methods for every class/object?

Use the UNIVERSAL class (see L<UNIVERSAL>).

=head2 How do I verify a credit card checksum?

Get the Business::CreditCard module from CPAN.

=head1 AUTHOR AND COPYRIGHT

Copyright (c) 1997, 1998 Tom Christiansen and Nathan Torkington.
All rights reserved.

When included as part of the Standard Version of Perl, or as part of
its complete documentation whether printed or otherwise, this work
may be distributed only under the terms of Perl's Artistic License.
Any distribution of this file or derivatives thereof I<outside>
of that package require that special arrangements be made with
copyright holder.

Irrespective of its distribution, all code examples in this file
are hereby placed into the public domain.  You are permitted and
encouraged to use this code in your own programs for fun
or for profit as you see fit.  A simple comment in the code giving
credit would be courteous but is not required.
