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PERLFAQ4(1)	       Perl Programmers Reference Guide		   PERLFAQ4(1)

NAME
       perlfaq4 - Data Manipulation ($Revision: 1.73 $, $Date: 2005/12/31
       00:54:37 $)

DESCRIPTION
       This section of the FAQ answers questions related to manipulating num‐
       bers, dates, strings, arrays, hashes, and miscellaneous data issues.

Data: Numbers
       Why am I getting long decimals (eg, 19.9499999999999) instead of the
       numbers I should be getting (eg, 19.95)?

       Internally, your computer represents floating-point numbers in binary.
       Digital (as in powers of two) computers cannot store all numbers
       exactly.	 Some real numbers lose precision in the process.  This is a
       problem with how computers store numbers and affects all computer lan‐
       guages, not just Perl.

       perlnumber show the gory details of number representations and conver‐
       sions.

       To limit the number of decimal places in your numbers, you can use the
       printf or sprintf function.  See the "Floating Point Arithmetic" for
       more details.

	       printf "%.2f", 10/3;

	       my $number = sprintf "%.2f", 10/3;

       Why is int() broken?

       Your int() is most probably working just fine.  It's the numbers that
       aren't quite what you think.

       First, see the above item "Why am I getting long decimals (eg,
       19.9499999999999) instead of the numbers I should be getting (eg,
       19.95)?".

       For example, this

	   print int(0.6/0.2-2), "\n";

       will in most computers print 0, not 1, because even such simple numbers
       as 0.6 and 0.2 cannot be presented exactly by floating-point numbers.
       What you think in the above as 'three' is really more like
       2.9999999999999995559.

       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.  Octal literals in perl must start with a
       leading "0" and hexadecimal literals must start with a leading "0x".
       If they are read in from somewhere and assigned, no automatic conver‐
       sion takes place.  You must explicitly use oct() or hex() if you want
       the values converted to decimal.	 oct() interprets hex ("0x350"), octal
       ("0350" or even without the leading "0", like "377") and binary
       ("0b1010") numbers, while hex() only converts hexadecimal ones, with or
       without a leading "0x", like "0x255", "3A", "ff", or "deadbeef".	 The
       inverse mapping from decimal to octal can be done with either the "%o"
       or "%O" sprintf() formats.

       This problem shows up most often when people try using chmod(),
       mkdir(), umask(), or sysopen(), which by widespread tradition typically
       take permissions in octal.

	   chmod(644,  $file); # WRONG
	   chmod(0644, $file); # right

       Note the mistake in the first line was specifying the decimal literal
       644, rather than the intended octal literal 0644.  The problem can be
       seen with:

	   printf("%#o",644); # prints 01204

       Surely you had not intended "chmod(01204, $file);" - did you?  If you
       want to use numeric literals as arguments to chmod() et al. then please
       try to express them as octal constants, that is with a leading zero and
       with the following digits restricted to the set 0..7.

       Does Perl have a round() function?  What about ceil() and floor()?
       Trig functions?

       Remember that int() merely truncates toward 0.  For rounding to a cer‐
       tain 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.

       To see why, notice how you'll still have an issue on half-way-point
       alternation:

	   for ($i = 0; $i < 1.01; $i += 0.05) { printf "%.1f ",$i}

	   0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 0.6 0.7 0.7
	   0.8 0.8 0.9 0.9 1.0 1.0

       Don't blame Perl.  It's the same as in C.  IEEE says we have to do
       this.  Perl numbers whose absolute values are integers under 2**31 (on
       32 bit machines) will work pretty much like mathematical integers.
       Other numbers are not guaranteed.

       How do I convert between numeric representations/bases/radixes?

       As always with Perl there is more than one way to do it.	 Below are a
       few examples of approaches to making common conversions between number
       representations.	 This is intended to be representational rather than
       exhaustive.

       Some of the examples below use the Bit::Vector module from CPAN.	 The
       reason you might choose Bit::Vector over the perl built in functions is
       that it works with numbers of ANY size, that it is optimized for speed
       on some operations, and for at least some programmers the notation
       might be familiar.

       How do I convert hexadecimal into decimal
	   Using perl's built in conversion of 0x notation:

	       $dec = 0xDEADBEEF;

	   Using the hex function:

	       $dec = hex("DEADBEEF");

	   Using pack:

	       $dec = unpack("N", pack("H8", substr("0" x 8 . "DEADBEEF", -8)));

	   Using the CPAN module Bit::Vector:

	       use Bit::Vector;
	       $vec = Bit::Vector->new_Hex(32, "DEADBEEF");
	       $dec = $vec->to_Dec();

       How do I convert from decimal to hexadecimal
	   Using sprintf:

	       $hex = sprintf("%X", 3735928559); # upper case A-F
	       $hex = sprintf("%x", 3735928559); # lower case a-f

	   Using unpack:

	       $hex = unpack("H*", pack("N", 3735928559));

	   Using Bit::Vector:

	       use Bit::Vector;
	       $vec = Bit::Vector->new_Dec(32, -559038737);
	       $hex = $vec->to_Hex();

	   And Bit::Vector supports odd bit counts:

	       use Bit::Vector;
	       $vec = Bit::Vector->new_Dec(33, 3735928559);
	       $vec->Resize(32); # suppress leading 0 if unwanted
	       $hex = $vec->to_Hex();

       How do I convert from octal to decimal
	   Using Perl's built in conversion of numbers with leading zeros:

	       $dec = 033653337357; # note the leading 0!

	   Using the oct function:

	       $dec = oct("33653337357");

	   Using Bit::Vector:

	       use Bit::Vector;
	       $vec = Bit::Vector->new(32);
	       $vec->Chunk_List_Store(3, split(//, reverse "33653337357"));
	       $dec = $vec->to_Dec();

       How do I convert from decimal to octal
	   Using sprintf:

	       $oct = sprintf("%o", 3735928559);

	   Using Bit::Vector:

	       use Bit::Vector;
	       $vec = Bit::Vector->new_Dec(32, -559038737);
	       $oct = reverse join('', $vec->Chunk_List_Read(3));

       How do I convert from binary to decimal
	   Perl 5.6 lets you write binary numbers directly with the 0b nota‐
	   tion:

	       $number = 0b10110110;

	   Using oct:

	       my $input = "10110110";
	       $decimal = oct( "0b$input" );

	   Using pack and ord:

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

	   Using pack and unpack for larger strings:

	       $int = unpack("N", pack("B32",
		   substr("0" x 32 . "11110101011011011111011101111", -32)));
	       $dec = sprintf("%d", $int);

	       # substr() is used to left pad a 32 character string with zeros.

	   Using Bit::Vector:

	       $vec = Bit::Vector->new_Bin(32, "11011110101011011011111011101111");
	       $dec = $vec->to_Dec();

       How do I convert from decimal to binary
	   Using sprintf (perl 5.6+):

	       $bin = sprintf("%b", 3735928559);

	   Using unpack:

	       $bin = unpack("B*", pack("N", 3735928559));

	   Using Bit::Vector:

	       use Bit::Vector;
	       $vec = Bit::Vector->new_Dec(32, -559038737);
	       $bin = $vec->to_Bin();

	   The remaining transformations (e.g. hex -> oct, bin -> hex, etc.)
	   are left as an exercise to the inclined reader.

       Why doesn't & work the way I want it to?

       The behavior of binary arithmetic operators depends on whether they're
       used on numbers or strings.  The operators treat a string as a series
       of bits and work with that (the string "3" is the bit pattern
       00110011).  The operators work with the binary form of a number (the
       number 3 is treated as the bit pattern 00000011).

       So, saying "11 & 3" performs the "and" operation on numbers (yielding
       3).  Saying "11" & "3" performs the "and" operation on strings (yield‐
       ing "1").

       Most problems with "&" and "⎪" arise because the programmer thinks they
       have a number but really it's a string.	The rest arise because the
       programmer says:

	   if ("\020\020" & "\101\101") {
	       # ...
	   }

       but a string consisting of two null bytes (the result of ""\020\020" &
       "\101\101"") is not a false value in Perl.  You need:

	   if ( ("\020\020" & "\101\101") !~ /[^\000]/) {
	       # ...
	   }

       How do I multiply matrices?

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

       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 $iterator (@array) {
	       some_func($iterator);
	   }

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

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

       but you should be aware that the ".." 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; $i++) {
	       push(@results, some_func($i));
	   }

       This situation has been fixed in Perl5.005. Use of ".." in a "for" loop
       will iterate over the range, without creating the entire range.

	   for my $i (5 .. 500_005) {
	       push(@results, some_func($i));
	   }

       will not create a list of 500,000 integers.

       How can I output Roman numerals?

       Get the http://www.cpan.org/modules/by-module/Roman module.

       Why aren't my random numbers random?

       If you're using a version of Perl before 5.004, you must call "srand"
       once at the start of your program to seed the random number generator.

		BEGIN { srand() if $] < 5.004 }

       5.004 and later automatically call "srand" at the beginning.  Don't
       call "srand" more than once---you make your numbers less random, rather
       than more.

       Computers are good at being predictable and bad at being random
       (despite appearances caused by bugs in your programs :-).  see the ran‐
       dom article in the "Far More Than You Ever Wanted To Know" collection
       in http://www.cpan.org/misc/olddoc/FMTEYEWTK.tgz , courtesy of Tom
       Phoenix, talks more about this.	John von Neumann said, "Anyone who
       attempts to generate random numbers by deterministic means is, of
       course, living in a state of sin."

       If you want numbers that are more random than "rand" with "srand" pro‐
       vides, 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://www.nr.com/ .

       How do I get a random number between X and Y?

       "rand($x)" returns a number such that "0 <= rand($x) < $x". Thus what
       you want to have perl figure out is a random number in the range from 0
       to the difference between your X and Y.

       That is, to get a number between 10 and 15, inclusive, you want a ran‐
       dom number between 0 and 5 that you can then add to 10.

	   my $number = 10 + int rand( 15-10+1 );

       Hence you derive the following simple function to abstract that. It
       selects a random integer between the two given integers (inclusive),
       For example: "random_int_in(50,120)".

	  sub random_int_in ($$) {
	    my($min, $max) = @_;
	     # Assumes that the two arguments are integers themselves!
	    return $min if $min == $max;
	    ($min, $max) = ($max, $min)	 if  $min > $max;
	    return $min + int rand(1 + $max - $min);
	  }

Data: Dates
       How do I find the day or week of the year?

       The localtime function returns the day of the year.  Without an argu‐
       ment localtime uses the current time.

	       $day_of_year = (localtime)[7];

       The POSIX module can also format a date as the day of the year or week
       of the year.

	       use POSIX qw/strftime/;
	       my $day_of_year	= strftime "%j", localtime;
	       my $week_of_year = strftime "%W", localtime;

       To get the day of year for any date, use the Time::Local module to get
       a time in epoch seconds for the argument to localtime.

	       use POSIX qw/strftime/;
	       use Time::Local;
	       my $week_of_year = strftime "%W",
		       localtime( timelocal( 0, 0, 0, 18, 11, 1987 ) );

       The Date::Calc module provides two functions to calculate these.

	       use Date::Calc;
	       my $day_of_year	= Day_of_Year(	1987, 12, 18 );
	       my $week_of_year = Week_of_Year( 1987, 12, 18 );

       How do I find the current century or millennium?

       Use the following simple functions:

	   sub get_century    {
	       return int((((localtime(shift ⎪⎪ time))[5] + 1999))/100);
	   }

	   sub get_millennium {
	       return 1+int((((localtime(shift ⎪⎪ time))[5] + 1899))/1000);
	   }

       On some systems, the POSIX module's strftime() function has been
       extended in a non-standard way to use a %C format, which they sometimes
       claim is the "century".	It isn't, because on most such systems, this
       is only the first two digits of the four-digit year, and thus cannot be
       used to reliably determine the current century or millennium.

       How can I compare two dates and find the difference?

       (contributed by brian d foy)

       You could just store all your dates as a number and then subtract. Life
       isn't always that simple though. If you want to work with formatted
       dates, the Date::Manip, Date::Calc, or DateTime modules can help you.

       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 "timelocal" in the standard
       Time::Local module.  Otherwise, you should look into the Date::Calc and
       Date::Manip modules from CPAN.

       How can I find the Julian Day?

       (contributed by brian d foy and Dave Cross)

       You can use the Time::JulianDay module available on CPAN.  Ensure that
       you really want to find a Julian day, though, as many people have dif‐
       ferent ideas about Julian days.	See http://www.her‐
       metic.ch/cal_stud/jdn.htm for instance.

       You can also try the DateTime module, which can convert a date/time to
       a Julian Day.

	 $ perl -MDateTime -le'print DateTime->today->jd'
	 2453401.5

       Or the modified Julian Day

	 $ perl -MDateTime -le'print DateTime->today->mjd'
	 53401

       Or even the day of the year (which is what some people think of as a
       Julian day)

	 $ perl -MDateTime -le'print DateTime->today->doy'
	 31

       How do I find yesterday's date?

       (contributed by brian d foy)

       Use one of the Date modules. The "DateTime" module makes it simple, and
       give you the same time of day, only the day before.

	       use DateTime;

	       my $yesterday = DateTime->now->subtract( days => 1 );

	       print "Yesterday was $yesterday\n";

       You can also use the "Date::Calc" module using its Today_and_Now func‐
       tion.

	       use Date::Calc qw( Today_and_Now Add_Delta_DHMS );

	       my @date_time = Add_Delta_DHMS( Today_and_Now(), -1, 0, 0, 0 );

	       print "@date\n";

       Most people try to use the time rather than the calendar to figure out
       dates, but that assumes that days are twenty-four hours each.  For most
       people, there are two days a year when they aren't: the switch to and
       from summer time throws this off. Let the modules do the work.

       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 (whatever that means).  The programmers you've hired to
       use it, however, probably are not.

       Long answer: The question belies a true understanding of the issue.
       Perl is just as Y2K compliant as your pencil--no more, and no less.
       Can you use your pencil to write a non-Y2K-compliant memo?  Of course
       you can.	 Is that the pencil's fault?  Of course it isn't.

       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 a list context is the year minus 1900.
       For years between 1910 and 1999 this 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,
       "$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://www.perl.org/about/y2k.html
       for a longer exposition.

Data: Strings
       How do I validate input?

       (contributed by brian d foy)

       There are many ways to ensure that values are what you expect or want
       to accept. Besides the specific examples that we cover in the perlfaq,
       you can also look at the modules with "Assert" and "Validate" in their
       names, along with other modules such as "Regexp::Common".

       Some modules have validation for particular types of input, such as
       "Business::ISBN", "Business::CreditCard", "Email::Valid", and
       "Data::Validate::IP".

       How do I unescape a string?

       It depends just what you mean by "escape".  URL escapes are dealt with
       in perlfaq9.  Shell escapes with the backslash ("\") character are
       removed with

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

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

       How do I remove consecutive pairs of characters?

       (contributed by brian d foy)

       You can use the substitution operator to find pairs of characters (or
       runs of characters) and replace them with a single instance. In this
       substitution, we find a character in "(.)". The memory parentheses
       store the matched character in the back-reference "\1" and we use that
       to require that the same thing immediately follow it. We replace that
       part of the string with the character in $1.

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

       We can also use the transliteration operator, "tr///". In this example,
       the search list side of our "tr///" contains nothing, but the "c"
       option complements that so it contains everything. The replacement list
       also contains nothing, so the transliteration is almost a no-op since
       it won't do any replacements (or more exactly, replace the character
       with itself). However, the "s" option squashes duplicated and consecu‐
       tive characters in the string so a character does not show up next to
       itself

	       my $str = 'Haarlem';   # in the Netherlands
	   $str =~ tr///cs;	  # Now Harlem, like in New York

       How do I expand function calls in a string?

       (contributed by brian d foy)

       This is documented in perlref, and although it's not the easiest thing
       to read, it does work. In each of these examples, we call the function
       inside the braces used to dereference a reference. If we have a more
       than one return value, we can construct and dereference an anonymous
       array. In this case, we call the function in list context.

	       print "The time values are @{ [localtime] }.\n";

       If we want to call the function in scalar context, we have to do a bit
       more work. We can really have any code we like inside the braces, so we
       simply have to end with the scalar reference, although how you do that
       is up to you, and you can use code inside the braces.

	       print "The time is ${\(scalar localtime)}.\n"

	       print "The time is ${ my $x = localtime; \$x }.\n";

       If your function already returns a reference, you don't need to create
       the reference yourself.

	       sub timestamp { my $t = localtime; \$t }

	       print "The time is ${ timestamp() }.\n";

       The "Interpolation" module can also do a lot of magic for you. You can
       specify a variable name, in this case "E", to set up a tied hash that
       does the interpolation for you. It has several other methods to do this
       as well.

	       use Interpolation E => 'eval';
	       print "The time values are $E{localtime()}.\n";

       In most cases, it is probably easier to simply use string concatena‐
       tion, which also forces scalar context.

	       print "The time is " . localtime . ".\n";

       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 charac‐
       ters, a pattern like "/x([^x]*)x/" will get the intervening bits in $1.
       For multiple ones, then something more like "/alpha(.*?)omega/" would
       be needed.  But none of these deals with nested patterns.  For balanced
       expressions using "(", "{", "[" or "<" as delimiters, use the CPAN mod‐
       ule Regexp::Common, or see "(??{ code })" in perlre.  For other cases,
       you'll have to write a parser.

       If you are serious about writing a parser, there are a number of mod‐
       ules or oddities that will make your life a lot easier.	There are the
       CPAN modules Parse::RecDescent, Parse::Yapp, and Text::Balanced; and
       the byacc program.   Starting from perl 5.8 the Text::Balanced is part
       of the standard distribution.

       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
	   }

       A more complicated and sneaky approach is to make Perl's regular
       expression engine do it for you.	 This is courtesy Dean Inada, and
       rather has the nature of an Obfuscated Perl Contest entry, but it
       really does work:

	   # $_ contains the string to parse
	   # BEGIN and END are the opening and closing markers for the
	   # nested text.

	   @( = ('(','');
	   @) = (')','');
	   ($re=$_)=~s/((BEGIN)⎪(END)⎪.)/$)[!$3]\Q$1\E$([!$2]/gs;
	   @$ = (eval{/$re/},$@!~/unmatched/i);
	   print join("\n",@$[0..$#$]) if( $$[-1] );

       How do I reverse a string?

       Use reverse() in scalar context, as documented in "reverse" in perl‐
       func.

	   $reversed = reverse $string;

       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);

       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 new‐
       lines.  Text::Wrap doesn't justify the lines (flush-right).

       Or use the CPAN module Text::Autoformat.	 Formatting files can be eas‐
       ily done by making a shell alias, like so:

	   alias fmt="perl -i -MText::Autoformat -n0777 \
	       -e 'print autoformat $_, {all=>1}' $*"

       See the documentation for Text::Autoformat to appreciate its many capa‐
       bilities.

       How can I access or change N characters of a string?

       You can access the first characters of a string with substr().  To get
       the first character, for example, start at position 0 and grab the
       string of length 1.

	       $string = "Just another Perl Hacker";
	   $first_char = substr( $string, 0, 1 );  #  'J'

       To change part of a string, you can use the optional fourth argument
       which is the replacement string.

	   substr( $string, 13, 4, "Perl 5.8.0" );

       You can also use substr() as an lvalue.

	   substr( $string, 13, 4 ) =  "Perl 5.8.0";

       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 "whoever" or "whomever" into "whoso‐
       ever" or "whomsoever", case insensitively.  These all assume that $_
       contains the string to be altered.

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

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

	   $WANT = 3;
	   $count = 0;
	   $_ = "One fish two fish red fish blue fish";
	   while (/(\w+)\s+fish\b/gi) {
	       if (++$count == $WANT) {
		   print "The third fish is a $1 one.\n";
	       }
	   }

       That prints out: "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;

       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 "tr///" function like so:

	   $string = "ThisXlineXhasXsomeXx'sXinXit";
	   $count = ($string =~ tr/X//);
	   print "There are $count X characters 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, "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";

       Another version uses a global match in list context, then assigns the
       result to a scalar, producing a count of the number of matches.

	       $count = () = $string =~ /-\d+/g;

       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 ""don't do it"" into ""Don'T Do
       It"".  Sometimes you might want this.  Other times you might need a
       more thorough solution (Suggested by brian d 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 charac‐
       ters by placing a "use locale" pragma in your program.  See perllocale
       for endless details on locales.

       This is sometimes referred to as putting something into "title case",
       but that's not quite accurate.  Consider the proper capitalization of
       the movie Dr. Strangelove or: How I Learned to Stop Worrying and Love
       the Bomb, for example.

       Damian Conway's Text::Autoformat module provides some smart case trans‐
       formations:

	   use Text::Autoformat;
	   my $x = "Dr. Strangelove or: How I Learned to Stop ".
	     "Worrying and Love the Bomb";

	   print $x, "\n";
	   for my $style (qw( sentence title highlight ))
	   {
	       print autoformat($x, { case => $style }), "\n";
	   }

       How can I split a [character] delimited string except when inside
       [character]?

       Several modules can handle this sort of pasing---Text::Balanced,
       Text::CSV, Text::CSV_XS, and Text::ParseWords, among others.

       Take the example case of trying to split a string that is comma-sepa‐
       rated into its different fields. You can't use "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 Mastering Regular Expres‐
       sions, 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-delim‐
       ited field, escape them with backslashes (eg, "like \"this\"".

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

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

       There's also a Text::CSV (Comma-Separated Values) module on CPAN.

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

       (contributed by brian d foy)

       A substitution can do this for you. For a single line, you want to
       replace all the leading or trailing whitespace with nothing. You can do
       that with a pair of substitutions.

	       s/^\s+//;
	       s/\s+$//;

       You can also write that as a single substitution, although it turns out
       the combined statement is slower than the separate ones. That might not
       matter to you, though.

	       s/^\s+⎪\s+$//g;

       In this regular expression, the alternation matches either at the
       beginning or the end of the string since the anchors have a lower
       precedence than the alternation. With the "/g" flag, the substitution
       makes all possible matches, so it gets both. Remember, the trailing
       newline matches the "\s+", and  the "$" anchor can match to the physi‐
       cal end of the string, so the newline disappears too. Just add the new‐
       line to the output, which has the added benefit of preserving "blank"
       (consisting entirely of whitespace) lines which the "^\s+" would remove
       all by itself.

	       while( <> )
		       {
		       s/^\s+⎪\s+$//g;
		       print "$_\n";
		       }

       For a multi-line string, you can apply the regular expression to each
       logical line in the string by adding the "/m" flag (for "multi-line").
       With the "/m" flag, the "$" matches before an embedded newline, so it
       doesn't remove it. It still removes the newline at the end of the
       string.

	   $string =~ s/^\s+⎪\s+$//gm;

       Remember that lines consisting entirely of whitespace will disappear,
       since the first part of the alternation can match the entire string and
       replace it with nothing. If need to keep embedded blank lines, you have
       to do a little more work. Instead of matching any whitespace (since
       that includes a newline), just match the other whitespace.

	       $string =~ s/^[\t\f ]+⎪[\t\f ]+$//mg;

       How do I pad a string with blanks or pad a number with zeroes?

       In the following examples, $pad_len is the length to which you wish to
       pad the string, $text or $num contains the string to be padded, and
       $pad_char contains the padding character. You can use a single charac‐
       ter string constant instead of the $pad_char variable if you know what
       it is in advance. And in the same way you can use an integer in place
       of $pad_len if you know the pad length in advance.

       The simplest method uses the "sprintf" function. It can pad on the left
       or right with blanks and on the left with zeroes and it will not trun‐
       cate the result. The "pack" function can only pad strings on the right
       with blanks and it will truncate the result to a maximum length of
       $pad_len.

	   # Left padding a string with blanks (no truncation):
	       $padded = sprintf("%${pad_len}s", $text);
	       $padded = sprintf("%*s", $pad_len, $text);  # same thing

	   # Right padding a string with blanks (no truncation):
	       $padded = sprintf("%-${pad_len}s", $text);
	       $padded = sprintf("%-*s", $pad_len, $text); # same thing

	   # Left padding a number with 0 (no truncation):
	       $padded = sprintf("%0${pad_len}d", $num);
	       $padded = sprintf("%0*d", $pad_len, $num); # same thing

	   # Right padding a string with blanks using pack (will truncate):
	   $padded = pack("A$pad_len",$text);

       If you need to pad with a character other than blank or zero you can
       use one of the following methods.  They all generate a pad string with
       the "x" operator and combine that with $text. These methods do not
       truncate $text.

       Left and right padding with any character, creating a new string:

	   $padded = $pad_char x ( $pad_len - length( $text ) ) . $text;
	   $padded = $text . $pad_char x ( $pad_len - length( $text ) );

       Left and right padding with any character, modifying $text directly:

	   substr( $text, 0, 0 ) = $pad_char x ( $pad_len - length( $text ) );
	   $text .= $pad_char x ( $pad_len - length( $text ) );

       How do I extract selected columns from a string?

       Use substr() or unpack(), both documented in 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;
	   }

       How do I find the soundex value of a string?

       (contributed by brian d foy)

       You can use the Text::Soundex module. If you want to do fuzzy or close
       matching, you might also try the String::Approx, and Text::Metaphone,
       and Text::DoubleMetaphone modules.

       How can I expand variables in text strings?

       Let's assume that you have a string that contains placeholder vari‐
       ables.

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

       You can use a substitution with a double evaluation.  The first /e
       turns $1 into $foo, and the second /e turns $foo into its value.	 You
       may want to wrap this in an "eval": if you try to get the value of an
       undeclared variable while running under "use strict", you get a fatal
       error.

	   eval { $text =~ s/(\$\w+)/$1/eeg };
	   die if $@;

       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;

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

       The problem is that those double-quotes force stringification-- coerc‐
       ing numbers and references into strings--even when you don't want them
       to be strings.  Think of it this way: double-quote expansion is used to
       produce new strings.  If you already have a string, why do you need
       more?

       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 sim‐
       pler 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 num‐
       ber, such as the magical "++" autoincrement operator or the syscall()
       function.

       Stringification also destroys arrays.

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

       Why don't my <<HERE documents work?

       Check for these three things:

       There must be no space after the << part.
       There (probably) should be a semicolon at the end.
       You can't (easily) have any space in front of the tag.

       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 substring off.  Otherwise, it takes the amount of
       leading whitespace found on the first line and removes that much off
       each subsequent line.

	   sub fix {
	       local $_ = shift;
	       my ($white, $leader);  # common whitespace and common leading string
	       if (/^\s*(?:([^\w\s]+)(\s*).*\n)(?:\s*\1\2?.*\n)+$/) {
		   ($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 whitespace, with remaining indenta‐
       tion 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

Data: Arrays
       What is the difference between a list and an array?

       An array has a changeable length.  A list does not.  An array is some‐
       thing you can push or pop, while a list is a set of values.  Some peo‐
       ple make the distinction that a list is a value while an array is a
       variable.  Subroutines are passed and return lists, you put things into
       list context, you initialize arrays with lists, and you foreach()
       across a list.  "@" variables are arrays, anonymous arrays are arrays,
       arrays in scalar context behave like the number of elements in them,
       subroutines access their arguments through the array @_, and
       push/pop/shift only work on arrays.

       As a side note, there's no such thing as a list in scalar context.
       When you say

	   $scalar = (2, 5, 7, 9);

       you're using the comma operator in scalar context, so it uses the
       scalar comma operator.  There never was a list there at all!  This
       causes the last value to be returned: 9.

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

       The former is a scalar value; the latter an array slice, making 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 "use warnings" pragma and the -w flag will warn you about these
       matters.

       How can I remove duplicate elements from a list or array?

       (contributed by brian d foy)

       Use a hash. When you think the words "unique" or "duplicated", think
       "hash keys".

       If you don't care about the order of the elements, you could just cre‐
       ate the hash then extract the keys. It's not important how you create
       that hash: just that you use "keys" to get the unique elements.

	  my %hash   = map { $_, 1 } @array;
	  # or a hash slice: @hash{ @array } = ();
	  # or a foreach: $hash{$_} = 1 foreach ( @array );

	  my @unique = keys %hash;

       You can also go through each element and skip the ones you've seen
       before. Use a hash to keep track. The first time the loop sees an ele‐
       ment, that element has no key in %Seen. The "next" statement creates
       the key and immediately uses its value, which is "undef", so the loop
       continues to the "push" and increments the value for that key. The next
       time the loop sees that same element, its key exists in the hash and
       the value for that key is true (since it's not 0 or undef), so the next
       skips that iteration and the loop goes to the next element.

	       my @unique = ();
	       my %seen	  = ();

	       foreach my $elem ( @array )
		       {
		       next if $seen{ $elem }++;
		       push @unique, $elem;
		       }

       You can write this more briefly using a grep, which does the same
       thing.

	  my %seen = ();
	  my @unique = grep { ! $seen{ $_ }++ } @array;

       How can I tell whether a certain element is contained in a list or
       array?

       (portions of this answer contributed by Anno Siegel)

       Hearing the word "in" is an indication 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 maintain a
       hash whose keys are the first array's values.

	   @blues = qw/azure cerulean teal turquoise lapis-lazuli/;
	   %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);
	   @is_tiny_prime = ();
	   for (@primes) { $is_tiny_prime[$_] = 1 }
	   # or simply	@istiny_prime[@primes] = (1) x @primes;

       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 "vec($read,$n,1)" is true for some $n.

       These methods guarantee fast individual tests but require a re-organi‐
       zation of the original list or array.  They only pay off if you have to
       test multiple values against the same array.

       If you are testing only once, the standard module List::Util exports
       the function "first" for this purpose.  It works by stopping once it
       finds the element. It's written in C for speed, and its Perl equivalant
       looks like this subroutine:

	       sub first (&@) {
		       my $code = shift;
		       foreach (@_) {
			       return $_ if &{$code}();
		       }
		       undef;
	       }

       If speed is of little concern, the common idiom uses grep in scalar
       context (which returns the number of items that passed its condition)
       to traverse the entire list. This does have the benefit of telling you
       how many matches it found, though.

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

       If you want to actually extract the matching elements, simply use grep
       in list context.

	       my @matches = grep $_ eq $whatever, @array;

       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;
	   }

       Note that this is the symmetric difference, that is, all elements in
       either A or in B but not in both.  Think of it as an xor operation.

       How do I test whether two arrays or hashes are equal?

       The following code works for single-level arrays.  It uses a stringwise
       comparison, and does not distinguish defined versus undefined empty
       strings.	 Modify if you have other needs.

	   $are_equal = compare_arrays(\@frogs, \@toads);

	   sub compare_arrays {
	       my ($first, $second) = @_;
	       no warnings;  # silence spurious -w undef complaints
	       return 0 unless @$first == @$second;
	       for (my $i = 0; $i < @$first; $i++) {
		   return 0 if $first->[$i] ne $second->[$i];
	       }
	       return 1;
	   }

       For multilevel structures, you may wish to use an approach more like
       this one.  It uses the CPAN module FreezeThaw:

	   use FreezeThaw qw(cmpStr);
	   @a = @b = ( "this", "that", [ "more", "stuff" ] );

	   printf "a and b contain %s arrays\n",
	       cmpStr(\@a, \@b) == 0
		   ? "the same"
		   : "different";

       This approach also works for comparing hashes.  Here we'll demonstrate
       two different answers:

	   use FreezeThaw qw(cmpStr cmpStrHard);

	   %a = %b = ( "this" => "that", "extra" => [ "more", "stuff" ] );
	   $a{EXTRA} = \%b;
	   $b{EXTRA} = \%a;

	   printf "a and b contain %s hashes\n",
	       cmpStr(\%a, \%b) == 0 ? "the same" : "different";

	   printf "a and b contain %s hashes\n",
	       cmpStrHard(\%a, \%b) == 0 ? "the same" : "different";

       The first reports that both those the hashes contain the same data,
       while the second reports that they do not.  Which you prefer is left as
       an exercise to the reader.

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

       To find the first array element which satisfies a condition, you can
       use the first() function in the List::Util module, which comes with
       Perl 5.8.  This example finds the first element that contains "Perl".

	       use List::Util qw(first);

	       my $element = first { /Perl/ } @array;

       If you cannot use List::Util, you can make your own loop to do the same
       thing.  Once you find the element, you stop the loop with last.

	       my $found;
	       foreach ( @array )
		       {
		       if( /Perl/ ) { $found = $_; last }
		       }

       If you want the array index, you can iterate through the indices and
       check the array element at each index until you find one that satisfies
       the condition.

	       my( $found, $index ) = ( undef, -1 );
	       for( $i = 0; $i < @array; $i++ )
		       {
		       if( $array[$i] =~ /Perl/ )
			       {
			       $found = $array[$i];
			       $index = $i;
			       last;
			       }
		       }

       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) opera‐
       tions 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
       perldsc or perltoot and do just what the algorithm book tells you to
       do.  For example, imagine a list node like this:

	   $node = {
	       VALUE => 42,
	       LINK  => undef,
	   };

       You could walk the list this way:

	   print "List: ";
	   for ($node = $head;	$node; $node = $node->{LINK}) {
	       print $node->{VALUE}, " ";
	   }
	   print "\n";

       You could add to the list this way:

	   my ($head, $tail);
	   $tail = append($head, 1);	   # grow a new head
	   for $value ( 2 .. 10 ) {
	       $tail = append($tail, $value);
	   }

	   sub append {
	       my($list, $value) = @_;
	       my $node = { VALUE => $value };
	       if ($list) {
		   $node->{LINK} = $list->{LINK};
		   $list->{LINK} = $node;
	       } else {
		   $_[0] = $node;      # replace caller's version
	       }
	       return $node;
	   }

       But again, Perl's built-in are virtually always good enough.

       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

       How do I shuffle an array randomly?

       If you either have Perl 5.8.0 or later installed, or if you have
       Scalar-List-Utils 1.03 or later installed, you can say:

	   use List::Util 'shuffle';

	       @shuffled = shuffle(@list);

       If not, you can use a Fisher-Yates shuffle.

	   sub fisher_yates_shuffle {
	       my $deck = shift;  # $deck is a reference to an array
	       my $i = @$deck;
	       while (--$i) {
		   my $j = int rand ($i+1);
		   @$deck[$i,$j] = @$deck[$j,$i];
	       }
	   }

	   # shuffle my mpeg collection
	   #
	   my @mpeg = <audio/*/*.mp3>;
	   fisher_yates_shuffle( \@mpeg );    # randomize @mpeg in place
	   print @mpeg;

       Note that the above implementation shuffles an array in place, unlike
       the List::Util::shuffle() which takes a list and returns a new shuffled
       list.

       You've probably seen shuffling algorithms that work using splice, ran‐
       domly 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.

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

       Use "for"/"foreach":

	   for (@lines) {
		       s/foo/bar/;     # change that word
		       tr/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
	   }

       which can also be done with map() which is made to transform one list
       into another:

	       @volumes = map {$_ ** 3 * (4/3) * 3.14159} @radii;

       If you want to do the same thing to modify the values of the hash, you
       can use the "values" function.  As of Perl 5.6 the values are not
       copied, so if you modify $orbit (in this case), you modify the value.

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

       Prior to perl 5.6 "values" returned copies of the values, so older perl
       code often contains constructions such as @orbits{keys %orbits} instead
       of "values %orbits" where the hash is to be modified.

       How do I select a random element from an array?

       Use the rand() function (see "rand" in perlfunc):

	   $index   = rand @array;
	   $element = $array[$index];

       Or, simply:
	   my $element = $array[ rand @array ];

       How do I permute N elements of a list?

       Use the List::Permutor module on CPAN.  If the list is actually an
       array, try the Algorithm::Permute module (also on CPAN).	 It's written
       in XS code and is very efficient.

	       use Algorithm::Permute;
	       my @array = 'a'..'d';
	       my $p_iterator = Algorithm::Permute->new ( \@array );
	       while (my @perm = $p_iterator->next) {
		  print "next permutation: (@perm)\n";
	       }

       For even faster execution, you could do:

	  use Algorithm::Permute;
	  my @array = 'a'..'d';
	  Algorithm::Permute::permute {
	     print "next permutation: (@array)\n";
	  } @array;

       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 is discussed in Volume 4 (still unpublished) of Knuth's The
       Art of Computer Programming and will work on any list:

	       #!/usr/bin/perl -n
	       # Fischer-Kause ordered permutation generator

	       sub permute (&@) {
		       my $code = shift;
		       my @idx = 0..$#_;
		       while ( $code->(@_[@idx]) ) {
			       my $p = $#idx;
			       --$p while $idx[$p-1] > $idx[$p];
			       my $q = $p or return;
			       push @idx, reverse splice @idx, $p;
			       ++$q while $idx[$p-1] > $idx[$q];
			       @idx[$p-1,$q]=@idx[$q,$p-1];
		       }
	       }

	       permute {print"@_\n"} split;

       How do I sort an array by (anything)?

       Supply a comparison function to sort() (described in "sort" in perl‐
       func):

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

       The default sort function is cmp, string comparison, which would sort
       "(1, 2, 10)" into "(1, 10, 2)".	"<=>", 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-insensi‐
       tively.

	   @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 use‐
       ful.

	   @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 the sort article in the "Far More Than You Ever Wanted To Know"
       collection in http://www.cpan.org/misc/olddoc/FMTEYEWTK.tgz for more
       about this approach.

       See also the question below on sorting hashes.

       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 }

       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.)

       You can make the while loop a lot shorter with this suggestion from
       Benjamin Goldberg:

	       while($vec =~ /[^\0]+/g ) {
		  push @ints, grep vec($vec, $_, 1), $-[0] * 8 .. $+[0] * 8;
	       }

       Or use the CPAN module Bit::Vector:

	   $vector = Bit::Vector->new($num_of_bits);
	   $vector->Index_List_Store(@ints);
	   @ints = $vector->Index_List_Read();

       Bit::Vector provides efficient methods for bit vector, sets of small
       integers and "big int" math.

       Here's a more extensive illustration using vec():

	   # vec demo
	   $vector = "\xff\x0f\xef\xfe";
	   print "Ilya's string \\xff\\x0f\\xef\\xfe represents the number ",
	       unpack("N", $vector), "\n";
	   $is_set = vec($vector, 23, 1);
	   print "Its 23rd bit is ", $is_set ? "set" : "clear", ".\n";
	   pvec($vector);

	   set_vec(1,1,1);
	   set_vec(3,1,1);
	   set_vec(23,1,1);

	   set_vec(3,1,3);
	   set_vec(3,2,3);
	   set_vec(3,4,3);
	   set_vec(3,4,7);
	   set_vec(3,8,3);
	   set_vec(3,8,7);

	   set_vec(0,32,17);
	   set_vec(1,32,17);

	   sub set_vec {
	       my ($offset, $width, $value) = @_;
	       my $vector = '';
	       vec($vector, $offset, $width) = $value;
	       print "offset=$offset width=$width value=$value\n";
	       pvec($vector);
	   }

	   sub pvec {
	       my $vector = shift;
	       my $bits = unpack("b*", $vector);
	       my $i = 0;
	       my $BASE = 8;

	       print "vector length in bytes: ", length($vector), "\n";
	       @bytes = unpack("A8" x length($vector), $bits);
	       print "bits are: @bytes\n\n";
	   }

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

       The short story is that you should probably only use defined on scalars
       or functions, not on aggregates (arrays and hashes).  See "defined" in
       perlfunc in the 5.004 release or later of Perl for more detail.

Data: Hashes (Associative Arrays)
       How do I process an entire hash?

       Use the each() function (see "each" in perlfunc) 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.

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

       (contributed by brian d foy)

       The easy answer is "Don't do that!"

       If you iterate through the hash with each(), you can delete the key
       most recently returned without worrying about it.  If you delete or add
       other keys, the iterator may skip or double up on them since perl may
       rearrange the hash table.  See the entry for "each()" in perlfunc.

       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.  If
       it does worry you, you can always reverse the hash into a hash of
       arrays instead:

	    while (($key, $value) = each %by_key) {
		push @{$key_list_by_value{$value}}, $key;
	    }

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

       If you mean how many keys, then all you have to do is use the keys()
       function in a scalar context:

	   $num_keys = keys %hash;

       The keys() function also resets the iterator, which means that you may
       see strange results if you use this between uses of other hash opera‐
       tors such as each().

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

       (contributed by brian d foy)

       To sort a hash, start with the keys. In this example, we give the list
       of keys to the sort function which then compares them ASCIIbetically
       (which might be affected by your locale settings). The output list has
       the keys in ASCIIbetical order. Once we have the keys, we can go
       through them to create a report which lists the keys in ASCIIbetical
       order.

	       my @keys = sort { $a cmp $b } keys %hash;

	       foreach my $key ( @keys )
		       {
		       printf "%-20s %6d\n", $key, $hash{$value};
		       }

       We could get more fancy in the "sort()" block though. Instead of com‐
       paring the keys, we can compute a value with them and use that value as
       the comparison.

       For instance, to make our report order case-insensitive, we use the
       "\L" sequence in a double-quoted string to make everything lowercase.
       The "sort()" block then compares the lowercased values to determine in
       which order to put the keys.

	       my @keys = sort { "\L$a" cmp "\L$b" } keys %hash;

       Note: if the computation is expensive or the hash has many elements,
       you may want to look at the Schwartzian Transform to cache the computa‐
       tion results.

       If we want to sort by the hash value instead, we use the hash key to
       look it up. We still get out a list of keys, but this time they are
       ordered by their value.

	       my @keys = sort { $hash{$a} <=> $hash{$b} } keys %hash;

       From there we can get more complex. If the hash values are the same, we
       can provide a secondary sort on the hash key.

	       my @keys = sort {
		       $hash{$a} <=> $hash{$b}
			       or
		       "\L$a" cmp "\L$b"
		       } keys %hash;

       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 "In Memory Databases" in
       DB_File.	 The Tie::IxHash module from CPAN might also be instructive.

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

       Hashes contain 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 $key is
       present in %hash, "exists($hash{$key})" will return true.  The value
       for a given key can be "undef", in which case $hash{$key} will be
       "undef" while "exists $hash{$key}" will return true.  This corresponds
       to ($key, "undef") being in the hash.

       Pictures help...	 here's the %hash table:

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

       And these conditions hold

	       $hash{'a'}			is true
	       $hash{'d'}			is false
	       defined $hash{'d'}		is true
	       defined $hash{'a'}		is true
	       exists $hash{'a'}		is true (Perl5 only)
	       grep ($_ eq 'a', keys %hash)	is true

       If you now say

	       undef $hash{'a'}

       your table now reads:

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

       and these conditions now hold; changes in caps:

	       $hash{'a'}			is FALSE
	       $hash{'d'}			is false
	       defined $hash{'d'}		is true
	       defined $hash{'a'}		is FALSE
	       exists $hash{'a'}		is true (Perl5 only)
	       grep ($_ eq 'a', keys %hash)	is true

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

       Now, consider this:

	       delete $hash{'a'}

       your table now reads:

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

       and these conditions now hold; changes in caps:

	       $hash{'a'}			is false
	       $hash{'d'}			is false
	       defined $hash{'d'}		is true
	       defined $hash{'a'}		is false
	       exists $hash{'a'}		is FALSE (Perl5 only)
	       grep ($_ eq 'a', keys %hash)	is FALSE

       See, the whole entry is gone!

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

       This depends on the tied hash's implementation of EXISTS().  For exam‐
       ple, there isn't the concept of undef with hashes that are tied to DBM*
       files. 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 ordi‐
       nary hashes.

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

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

       How can I get the unique keys from two hashes?

       First you extract the keys from the hashes into lists, then solve the
       "removing duplicates" 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;

       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.

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

       Use the Tie::IxHash from CPAN.

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

       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 $_[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 not
       cause that key to be forever there.  This is different than awk's
       behavior.

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

       Usually a hash ref, perhaps like this:

	   $record = {
	       NAME   => "Jason",
	       EMPNO  => 132,
	       TITLE  => "deputy peon",
	       AGE    => 23,
	       SALARY => 37_000,
	       PALS   => [ "Norbert", "Rhys", "Phineas"],
	   };

       References are documented in perlref and the upcoming perlreftut.
       Examples of complex data structures are given in perldsc and perllol.
       Examples of structures and object-oriented classes are in perltoot.

       How can I use a reference as a hash key?

       (contributed by brian d foy)

       Hash keys are strings, so you can't really use a reference as the key.
       When you try to do that, perl turns the reference into its stringified
       form (for instance, "HASH(0xDEADBEEF)"). From there you can't get back
       the reference from the stringified form, at least without doing some
       extra work on your own. Also remember that hash keys must be unique,
       but two different variables can store the same reference (and those
       variables can change later).

       The Tie::RefHash module, which is distributed with perl, might be what
       you want. It handles that extra work.

Data: Misc
       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 less elegant (read: Byzantine) systems, however, you have to play
       tedious games with "text" versus "binary" files.	 See "binmode" in
       perlfunc or perlopentut.

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

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

       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 "Infin‐
       ity", you probably just want to use a regular expression.

	  if (/\D/)	       { print "has nondigits\n" }
	  if (/^\d+$/)	       { print "is a whole number\n" }
	  if (/^-?\d+$/)       { print "is an integer\n" }
	  if (/^[+-]?\d+$/)    { print "is a +/- integer\n" }
	  if (/^-?\d+\.?\d*$/) { print "is a real number\n" }
	  if (/^-?(?:\d+(?:\.\d*)?⎪\.\d+)$/) { print "is a decimal number\n" }
	  if (/^([+-]?)(?=\d⎪\.\d)\d*(\.\d*)?([Ee]([+-]?\d+))?$/)
			       { print "a C float\n" }

       There are also some commonly used modules for the task.	Scalar::Util
       (distributed with 5.8) provides access to perl's internal function
       "looks_like_number" for determining whether a variable looks like a
       number.	Data::Types exports functions that validate data types using
       both the above and other regular expressions. Thirdly, there is "Reg‐
       exp::Common" which has regular expressions to match various types of
       numbers. Those three modules are available from the CPAN.

       If you're on a POSIX system, Perl supports the "POSIX::strtod" func‐
       tion.  Its semantics are somewhat cumbersome, so here's a "getnum"
       wrapper function for more convenient access.  This function takes a
       string and returns the number it found, or "undef" for input that isn't
       a C float.  The "is_numeric" function is a front end to "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($_[0]) }

       Or you could check out the String::Scanf module on the CPAN instead.
       The POSIX module (part of the standard Perl distribution) provides the
       "strtod" and "strtol" for converting strings to double and longs,
       respectively.

       How do I keep persistent data across program calls?

       For some specific applications, you can use one of the DBM modules.
       See AnyDBM_File.	 More generically, you should consult the FreezeThaw
       or Storable modules from CPAN.  Starting from Perl 5.8 Storable is part
       of the standard distribution.  Here's one example using Storable's
       "store" and "retrieve" functions:

	   use Storable;
	   store(\%hash, "filename");

	   # later on...
	   $href = retrieve("filename");	# by ref
	   %hash = %{ retrieve("filename") };	# direct to hash

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

       The Data::Dumper module on CPAN (or the 5.005 release of Perl) is great
       for printing out data structures.  The Storable module on CPAN (or the
       5.8 release of Perl), provides a function called "dclone" that recur‐
       sively copies its argument.

	   use Storable qw(dclone);
	   $r2 = dclone($r1);

       Where $r1 can be a reference to any kind of data structure you'd like.
       It will be deeply copied.  Because "dclone" takes and returns refer‐
       ences, you'd have to add extra punctuation if you had a hash of arrays
       that you wanted to copy.

	   %newhash = %{ dclone(\%oldhash) };

       How do I define methods for every class/object?

       Use the UNIVERSAL class (see UNIVERSAL).

       How do I verify a credit card checksum?

       Get the Business::CreditCard module from CPAN.

       How do I pack arrays of doubles or floats for XS code?

       The kgbpack.c code in the PGPLOT module on CPAN does just this.	If
       you're doing a lot of float or double processing, consider using the
       PDL module from CPAN instead--it makes number-crunching easy.

AUTHOR AND COPYRIGHT
       Copyright (c) 1997-2006 Tom Christiansen, Nathan Torkington, and other
       authors as noted. All rights reserved.

       This documentation is free; you can redistribute it and/or modify it
       under the same terms as Perl itself.

       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.

perl v5.8.8			  2013-10-01			   PERLFAQ4(1)
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