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

NAME
       perlfaq4 - Data Manipulation

VERSION
       version 5.20240218

DESCRIPTION
       This section of the FAQ answers questions related to manipulating
       numbers, 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)?
       For the long explanation, see David Goldberg's "What Every Computer
       Scientist Should Know About Floating-Point Arithmetic"
       (<http://web.cse.msu.edu/~cse320/Documents/FloatingPoint.pdf>).

       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
       languages, not just Perl.

       perlnumber shows the gory details of number representations and
       conversions.

       To limit the number of decimal places in your numbers, you can use the
       "printf" or "sprintf" function. See "Floating-point Arithmetic" in
       perlop 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 answer to "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?
       (contributed by brian d foy)

       You're probably trying to convert a string to a number, which Perl only
       converts as a decimal number. When Perl converts a string to a number,
       it ignores leading spaces and zeroes, then assumes the rest of the
       digits are in base 10:

           my $string = '0644';

           print $string + 0;  # prints 644

           print $string + 44; # prints 688, certainly not octal!

       This problem usually involves one of the Perl built-ins that has the
       same name a Unix command that uses octal numbers as arguments on the
       command line. In this example, "chmod" on the command line knows that
       its first argument is octal because that's what it does:

           %prompt> chmod 644 file

       If you want to use the same literal digits (644) in Perl, you have to
       tell Perl to treat them as octal numbers either by prefixing the digits
       with a 0 or using "oct":

           chmod(     0644, $filename );  # right, has leading zero
           chmod( oct(644), $filename );  # also correct

       The problem comes in when you take your numbers from something that Perl
       thinks is a string, such as a command line argument in @ARGV:

           chmod( $ARGV[0],      $filename );  # wrong, even if "0644"

           chmod( oct($ARGV[0]), $filename );  # correct, treat string as octal

       You can always check the value you're using by printing it in octal
       notation to ensure it matches what you think it should be. Print it in
       octal  and decimal format:

           printf "0%o %d", $number, $number;

   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;
           my $ceil   = ceil(3.5);   # 4
           my $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 of rounding is being used
       by Perl, but instead to implement the rounding function you need
       yourself.

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

           for (my $i = -5; $i <= 5; $i += 0.5) { printf "%.0f ",$i }

           -5 -4 -4 -4 -3 -2 -2 -2 -1 -0 0 0 1 2 2 2 3 4 4 4 5

       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 later in perlfaq4 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:

               my $dec = 0xDEADBEEF;

           Using the "hex" function:

               my $dec = hex("DEADBEEF");

           Using "pack":

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

           Using the CPAN module "Bit::Vector":

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

       How do I convert from decimal to hexadecimal
           Using "sprintf":

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

           Using "unpack":

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

           Using Bit::Vector:

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

           And Bit::Vector supports odd bit counts:

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

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

               my $dec = 033653337357; # note the leading 0!

           Using the "oct" function:

               my $dec = oct("33653337357");

           Using Bit::Vector:

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

       How do I convert from decimal to octal
           Using "sprintf":

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

           Using Bit::Vector:

               use Bit::Vector;
               my $vec = Bit::Vector->new_Dec(32, -559038737);
               my $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"
           notation:

               my $number = 0b10110110;

           Using "oct":

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

           Using "pack" and "ord":

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

           Using "pack" and "unpack" for larger strings:

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

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

           Using Bit::Vector:

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

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

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

           Using "unpack":

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

           Using Bit::Vector:

               use Bit::Vector;
               my $vec = Bit::Vector->new_Dec(32, -559038737);
               my $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?
       Perl's "&" bitwise operator works on both numbers and strings, sometimes
       producing  surprising  results when you expected a number but received a
       string. You probably expected perl to automatically convert the operands
       to numbers like the mathematical operators would.  Instead, perl  treats
       string operands as bitvectors.

       Consider  the  bitwise difference between the number 3 and the bitvector
       represented by "3". A number has the bit pattern for its magnitude.  The
       number  3  is 0b11 (a 2 and a 1). The bitvector has the bit pattern that
       is the ordinal value for each octet, and that value is unrelated to  any
       numeric  value  that  the  digit  represents.  The  character "3" is the
       bitvector 0b0011_0011.

       These operations have different results even though you might think they
       look like the same "number":

                11  &  3;   # 0b0000_1011 & 0b0000_0011
                            #     -> 0b0000_0011   (number 3)
               "11" & "3";  # 0b0011_0001_0011_0001 & 0b0011_0011
                            #     -> 0b0011_0001   (ASCII char "1")

       Note that if  any  operand  has  a  numeric  value,  perl  uses  numeric
       semantics (although you should not count on this):

               my($i, $j) = ( 11,   3 );   # $i & $j  # 11  &  3 -> 3
               my($i, $j) = ("11",  3 );   # $i & $j  # 11  &  3 -> 3
               my($i, $j) = ("11", "3");   # $i & $j  # "11"  &  "3" -> 1

       Remember  that  a perl scalar can have both string and numeric values at
       the same time. A value that starts as a string and has never encountered
       a numeric operation has no numeric value yet. Perl  does  this  to  save
       time  and work so it doesn't have to decide a numeric value for a scalar
       it might never use as a number. In that  case,  string  semantics  wins.
       But,  if  there is a numeric value already, numeric semantics win. Force
       perl to compute the numeric value by adding 0:

           my($i, $j) = ("11", "3"); $j += 0  # $i & $j  # "11"  &  3 -> 3

       However, this is not a documented feature, or as perlop says, it "is not
       well defined". One way to fix ensure numeric semantics is to  explicitly
       convert both of values to numbers:

               (0+$i) & (0+$j)

       To  fix  this  annoyance,  Perl  v5.22  separated  the string and number
       behavior. The "bitwise" feature introduced four new operators that would
       work with only string  semantics:  "&.",  "|.",  "^.",  and  "~.".   The
       original  operators,  "&",  "|",  "^",  and  "~",  would then apply only
       numeric semantics.

       Enable this feature explicitly with feature:

               use feature qw(bitwise);

       Or, as of v5.28, require the minimum version of perl with "use":

               use v5.28;  # bitwise feature for free

   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:

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

       For example:

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

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

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

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

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

       but  you  should be aware that in this form, the ".." operator creates a
       list of all integers in the range, which can take a lot  of  memory  for
       large ranges. However, the problem does not occur when using ".." within
       a  "for"  loop,  because in that case the range operator is optimized to
       iterate over the range, without creating the entire list. So

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

       or even

          push(@results, some_func($_)) for 5 .. 500_005;

       will not create an intermediate 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 :-). The random 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."

       Perl relies on the underlying system for the  implementation  of  "rand"
       and  "srand";  on  some  systems,  the  generated numbers are not random
       enough        (especially        on        Windows         :         see
       <http://www.perlmonks.org/?node_id=803632>).   Several  CPAN  modules in
       the "Math" namespace implement better pseudorandom generators;  see  for
       example     Math::Random::MT     ("Mersenne    Twister",    fast),    or
       Math::TrulyRandom (uses the  imperfections  in  the  system's  timer  to
       generate  random  numbers,  which  is rather slow).  More algorithms for
       random  numbers  are  described  in  "Numerical   Recipes   in   C"   at
       <http://www.nr.com/>

   How do I get a random number between X and Y?
       To get a random number between two values, you can use the rand() built-
       in  to  get  a random number between 0 and 1. From there, you shift that
       into the range that you want.

       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 random
       number between 0 and 5 that you can then add to 10.

           my $number = 10 + int rand( 15-10+1 ); # ( 10,11,12,13,14, or 15 )

       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_between(50,120)".

           sub random_int_between {
               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 day of the year is in the list returned by the "localtime" function.
       Without an argument "localtime" uses the current time.

           my $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 POSIX's "mktime" to get a  time
       in epoch seconds for the argument to "localtime".

           use POSIX qw/mktime strftime/;
           my $week_of_year = strftime "%j",
               localtime( mktime( 0, 0, 0, 18, 11, 87 ) );

       You  can  also  use  Time::Piece,  which  comes with Perl and provides a
       "localtime" that returns an object:

           use Time::Piece;
           my $day_of_year  = localtime->yday;
           my $week_of_year = localtime->week;

       The Date::Calc module provides two functions to calculate these, too:

           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 determine reliably 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.

       The Time::Piece module, which comes with Perl, replaces localtime with a
       version that  returns  an  object.  It  also  overloads  the  comparison
       operators so you can compare them directly:

           use Time::Piece;
           my $date1 = localtime( $some_time );
           my $date2 = localtime( $some_other_time );

           if( $date1 < $date2 ) {
               print "The date was in the past\n";
           }

       You  can  also  get  differences  with  a  subtraction,  which returns a
       Time::Seconds object:

           my $date_diff = $date1 - $date2;
           print "The difference is ", $date_diff->days, " days\n";

       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,
       Date::Parse, 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::Piece module, part of the Standard Library,  which
       can convert a date/time to a Julian Day:

           $ perl -MTime::Piece -le 'print localtime->julian_day'
           2455607.7959375

       Or the modified Julian Day:

           $ perl -MTime::Piece -le 'print localtime->mjd'
           55607.2961226851

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

           $ perl -MTime::Piece -le 'print localtime->yday'
           45

       You can also do the same things with the DateTime module:

           $ perl -MDateTime -le'print DateTime->today->jd'
           2453401.5
           $ perl -MDateTime -le'print DateTime->today->mjd'
           53401
           $ perl -MDateTime -le'print DateTime->today->doy'
           31

       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
       different       ideas        about        Julian        days        (see
       <http://www.hermetic.ch/cal_stud/jdn.htm> for instance):

           $  perl -MTime::JulianDay -le 'print local_julian_day( time )'
           55608

   How do I find yesterday's date?
       (contributed by brian d foy)

       To  do  it  correctly,  you can use one of the "Date" modules since they
       work with calendars instead of  times.  The  DateTime  module  makes  it
       simple,  and give you the same time of day, only the day before, despite
       daylight saving time changes:

           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"
       function.

           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_time\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.  For  example,  the  rest  of  the
       suggestions will be wrong sometimes:

       Starting  with  Perl 5.10, Time::Piece and Time::Seconds are part of the
       standard distribution, so you might think that you  could  do  something
       like this:

           use Time::Piece;
           use Time::Seconds;

           my $yesterday = localtime() - ONE_DAY; # WRONG
           print "Yesterday was $yesterday\n";

       The Time::Piece module exports a new "localtime" that returns an object,
       and Time::Seconds exports the "ONE_DAY" constant that is a set number of
       seconds. This means that it always gives the time 24 hours ago, which is
       not always yesterday. This can cause problems around the end of daylight
       saving time when there's one day that is 25 hours long.

       You  have  the  same problem with Time::Local, which will give the wrong
       answer for those same special cases:

           # contributed by Gunnar Hjalmarsson
            use Time::Local;
            my $today = timelocal 0, 0, 12, ( localtime )[3..5];
            my ($d, $m, $y) = ( localtime $today-86400 )[3..5]; # WRONG
            printf "Yesterday: %d-%02d-%02d\n", $y+1900, $m+1, $d;

   Does Perl have a Year 2000 or 2038 problem? Is Perl Y2K compliant?
       (contributed by brian d foy)

       Perl itself never had a Y2K problem, although that never stopped  people
       from  creating  Y2K  problems  on  their  own. See the documentation for
       "localtime" for its proper use.

       Starting with Perl 5.12, "localtime" and "gmtime" can handle dates  past
       03:14:08  January 19, 2038, when a 32-bit based time would overflow. You
       still might get a warning on a 32-bit "perl":

           % perl5.12 -E 'say scalar localtime( 0x9FFF_FFFFFFFF )'
           Integer overflow in hexadecimal number at -e line 1.
           Wed Nov  1 19:42:39 5576711

       On a 64-bit "perl", you can get even larger dates for those really  long
       running projects:

           % perl5.12 -E 'say scalar gmtime( 0x9FFF_FFFFFFFF )'
           Thu Nov  2 00:42:39 5576711

       You're  still  out of luck if you need to keep track of decaying protons
       though.

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 "\g1" 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/(.)\g1/$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 consecutive
       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 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. Note that the use
       of parens creates a list context, so  we  need  "scalar"  to  force  the
       scalar context on the function:

           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 concatenation,
       which also forces scalar context.

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

   How do I find matching/nesting anything?
       To  find  something  between  two  single  characters,  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. For nested
       patterns   and/or  balanced  expressions,  see  the  so-called  (?PARNO)
       construct (available since perl 5.10).  The CPAN  module  Regexp::Common
       can   help   to  build  such  regular  expressions  (see  in  particular
       Regexp::Common::balanced and Regexp::Common::delimited).

       More complex cases will require to write  a  parser,  probably  using  a
       parsing  module  from  CPAN,  like  Regexp::Grammars, Parse::RecDescent,
       Parse::Yapp, Text::Balanced, or Marpa::R2.

   How do I reverse a string?
       Use reverse() in scalar context, as documented in "reverse" in perlfunc.

           my $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;
           my @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
       newlines. Text::Wrap doesn't justify the lines (flush-right).

       Or use the CPAN module Text::Autoformat. Formatting files can be  easily
       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
       capabilities.

   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.

           my $string = "Just another Perl Hacker";
           my $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 "whosoever"
       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:

           my $string = "ThisXlineXhasXsomeXx'sXinXit";
           my $count = ($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:

           my $string = "-9 55 48 -2 23 -76 4 14 -44";
           my $count = 0;
           while ($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.

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

   How do I capitalize all the words on one line?
       (contributed by brian d foy)

       Damian Conway's Text::Autoformat handles all of the thinking for you:

           use Text::Autoformat;
           my $s = "Going to the desert with a camel";

           printf "%-10s %s\n", "original:", $s;
           for my $style (qw( sentence title highlight )) {
               printf "%-10s %s\n",
                       "$style:",
                               autoformat($s, { case => $style }) =~ s/\R+\z//r;
           }

       Each style has a different idea of what if should do with small words:

               original:  Going to the desert with a camel
               sentence:  Going to the desert with a camel
               title:     Going To The Desert With A Camel
               highlight: Going to the Desert with a Camel

       Trying this yourself in a simple regex has more  than  a  few  pitfalls.
       Perl  "words"  are  groups  of  "\w+",  but  that's not what you want to
       capitalize. Some of those characters aren't even letters.  What  if  you
       used a word boundary, "\b"?

               my $string = "A camel's journey";
               $string =~ s/\b(\w)/\U$1/g;  # A Camel'S Journey

       How  is Perl supposed to know not to capitalize that "s"? You could work
       harder to look for preceding whitespace or the beginning of the string:

           $string =~ s/( (?:^|\s) \w ) /\U$1/xg; # A Camel's Journey

       Or maybe you match the  entire  group,  lowercase  it  all  ("L"),  then
       uppercase the first letter ("\u"):

           $string =~ s/([\w']+)/\u\L$1/g;

       Each  of  these have their annoying edge cases. Perl v5.22 added fancier
       Unicode word and sentence boundaries to fix this sort  of  problem.  The
       "\b{wb}"  word  boundary ignores some things that it doesn't think start
       or end "human" words:

               use v5.22;
               my $string = "A camel's journey";
               $string =~ s/\b{wb}(\w)/\U$1/g;  # A Camel's Journey

       The    details    are    in     Unicode     Technical     Report     #29
       (<https://unicode.org/reports/tr29/>), and you should make sure that its
       idea of a word boundary corresponds to yours.

       Now,  what if you don't want to capitalize that "and" or "the"? Just use
       Text::Autoformat and get on with the next problem. :)

   How  can  I  split  a  [character]-delimited  string  except   when   inside
       [character]?
       Several   modules  can  handle  this  sort  of  parsing--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-
       separated  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
       Expressions,  to  handle these for us. He suggests (assuming your string
       is contained in $text):

            my @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, "like \"this\"".

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

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

       For parsing or generating  CSV,  though,  using  Text::CSV  rather  than
       implementing it yourself is highly recommended; you'll save yourself odd
       bugs  popping  up  later by just using code which has already been tried
       and tested in production for years.

   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 absolute
       end of the string, so the newline disappears too. Just add  the  newline
       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. This pattern 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 you 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 character
       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
       truncate  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):
           my $padded = sprintf("%${pad_len}s", $text);
           my $padded = sprintf("%*s", $pad_len, $text);  # same thing

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

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

           # Right padding a string with blanks using pack (will truncate):
           my $padded = pack("A$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:

           my $padded = $pad_char x ( $pad_len - length( $text ) ) . $text;
           my $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?
       (contributed by brian d foy)

       If you know the columns that contain the data, you can use  "substr"  to
       extract a single column.

           my $column = substr( $line, $start_column, $length );

       You  can  use "split" if the columns are separated by whitespace or some
       other delimiter, as long as whitespace or the delimiter cannot appear as
       part of the data.

           my $line    = ' fred barney   betty   ';
           my @columns = split /\s+/, $line;
               # ( '', 'fred', 'barney', 'betty' );

           my $line    = 'fred||barney||betty';
           my @columns = split /\|/, $line;
               # ( 'fred', '', 'barney', '', 'betty' );

       If you want to work with comma-separated values,  don't  do  this  since
       that  format  is  a  bit  more  complicated. Use one of the modules that
       handle that format, such as Text::CSV, Text::CSV_XS, or Text::CSV_PP.

       If you want to break apart an entire line of fixed columns, you can  use
       "unpack"  with  the A (ASCII) format. By using a number after the format
       specifier, you can denote the column width. See the "pack" and  "unpack"
       entries in perlfunc for more details.

           my @fields = unpack( $line, "A8 A8 A8 A16 A4" );

       Note  that  spaces  in  the  format  argument  to "unpack" do not denote
       literal spaces. If you have space separated data, you may  want  "split"
       instead.

   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?
       (contributed by brian d foy)

       If you can avoid it, don't, or if you can use a templating system,  such
       as  Text::Template  or Template Toolkit, do that instead. You might even
       be able to get the job done with "sprintf" or "printf":

           my $string = sprintf 'Say hello to %s and %s', $foo, $bar;

       However, for the one-off simple case where I don't want to  pull  out  a
       full  templating  system,  I'll  use  a  string that has two Perl scalar
       variables in it. In this example, I want to  expand  $foo  and  $bar  to
       their variable's values:

           my $foo = 'Fred';
           my $bar = 'Barney';
           $string = 'Say hello to $foo and $bar';

       One  way  I  can do this involves the substitution operator and a double
       "/e" flag. The first "/e" evaluates $1 on the replacement side and turns
       it into $foo. The second /e starts with $foo and replaces  it  with  its
       value.  $foo, then, turns into 'Fred', and that's finally what's left in
       the string:

           $string =~ s/(\$\w+)/$1/eeg; # 'Say hello to Fred and Barney'

       The "/e" will also  silently  ignore  violations  of  strict,  replacing
       undefined variable names with the empty string. Since I'm using the "/e"
       flag (twice even!), I have all of the same security problems I have with
       "eval"  in  its  string  form. If there's something odd in $foo, perhaps
       something like "@{[ system "rm -rf /" ]}", then I could  get  myself  in
       trouble.

       To  get around the security problem, I could also pull the values from a
       hash instead of evaluating variable names. Using a single  "/e",  I  can
       check  the  hash  to  ensure  the value exists, and if it doesn't, I can
       replace the missing value with a marker, in this case  "???"  to  signal
       that I missed something:

           my $string = 'This has $foo and $bar';

           my %Replacements = (
               foo  => 'Fred',
               );

           # $string =~ s/\$(\w+)/$Replacements{$1}/g;
           $string =~ s/\$(\w+)/
               exists $Replacements{$1} ? $Replacements{$1} : '???'
               /eg;

           print $string;

   Does Perl have anything like Ruby's #{} or Python's f string?
       Unlike the others, Perl allows you to embed a variable naked in a double
       quoted string, e.g. "variable $variable". When there isn't whitespace or
       other  non-word  characters  following  the  variable  name, you can add
       braces (e.g. "foo ${foo}bar") to ensure correct parsing.

       An array can also be embedded directly in a string, and will be expanded
       by default with spaces between the elements. The default  LIST_SEPARATOR
       can  be  changed by assigning a different string to the special variable
       $", such as "local $" = ', ';".

       Perl also supports references within a string providing  the  equivalent
       of the features in the other two languages.

       "${\  ...  }"  embedded  within  a  string  will  work  for  most simple
       statements such as an object->method call.  More  complex  code  can  be
       wrapped in a do block "${\ do{...} }".

       When you want a list to be expanded per $", use "@{[ ... ]}".

           use Time::Piece;
           use Time::Seconds;
           my $scalar = 'STRING';
           my @array = ( 'zorro', 'a', 1, 'B', 3 );

           # Print the current date and time and then Tommorrow
           my $t = Time::Piece->new;
           say "Now is: ${\ $t->cdate() }";
           say "Tomorrow: ${\ do{ my $T=Time::Piece->new + ONE_DAY ; $T->fullday }}";

           # some variables in strings
           say "This is some scalar I have $scalar, this is an array @array.";
           say "You can also write it like this ${scalar} @{array}.";

           # Change the $LIST_SEPARATOR
           local $" = ':';
           say "Set \$\" to delimit with ':' and sort the Array @{[ sort @array ]}";

       You  may  also  want  to  look at the module Quote::Code, and templating
       tools such as Template::Toolkit and Mojo::Template.

       See also: "How can I expand variables in text strings?" and  "How  do  I
       expand function calls in a string?" in this FAQ.

   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
       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
           my $new = "$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;
           my $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 "++" autoincrement operator or the syscall()
       function.

       Stringification also destroys arrays.

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

   Why don't my <<HERE documents work?
       Here documents are found in perlop. Check for these three things:

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

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

           # all in one
           (my $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.

           (my $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, $leader);  # common whitespace and common leading string
               if (/^\s*(?:([^\w\s]+)(\s*).*\n)(?:\s*\g1\g2?.*\n)+$/) {
                   ($white, $leader) = ($2, quotemeta($1));
               } else {
                   ($white, $leader) = (/^(\s+)/, '');
               }
               s/^\s*?$leader(?:$white)?//gm;
               return $_;
           }

       This works with leading special strings, dynamically determined:

           my $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 indentation
       correctly preserved:

           my $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

       Beginning  with  Perl  version  5.26,  a much simpler and cleaner way to
       write indented here documents has been added to the language: the  tilde
       (~) modifier. See "Indented Here-docs" in perlop for details.

Data: Arrays
   What is the difference between a list and an array?
       (contributed by brian d foy)

       A  list  is  a  fixed collection of scalars. An array is a variable that
       holds a  variable  collection  of  scalars.  An  array  can  supply  its
       collection for list operations, so list operations also work on arrays:

           # slices
           ( 'dog', 'cat', 'bird' )[2,3];
           @animals[2,3];

           # iteration
           foreach ( qw( dog cat bird ) ) { ... }
           foreach ( @animals ) { ... }

           my @three = grep { length == 3 } qw( dog cat bird );
           my @three = grep { length == 3 } @animals;

           # supply an argument list
           wash_animals( qw( dog cat bird ) );
           wash_animals( @animals );

       Array  operations,  which  change the scalars, rearrange them, or add or
       subtract some scalars, only work on arrays. These can't work on a  list,
       which  is  fixed.  Array  operations include "shift", "unshift", "push",
       "pop", and "splice".

       An array can also change its length:

           $#animals = 1;  # truncate to two elements
           $#animals = 10000; # pre-extend to 10,001 elements

       You can change an array element, but you can't change a list element:

           $animals[0] = 'Rottweiler';
           qw( dog cat bird )[0] = 'Rottweiler'; # syntax error!

           foreach ( @animals ) {
               s/^d/fr/;  # works fine
           }

           foreach ( qw( dog cat bird ) ) {
               s/^d/fr/;  # Error! Modification of read only value!
           }

       However, if the list element is itself a variable, it appears  that  you
       can  change  a  list element. However, the list element is the variable,
       not the data. You're not changing the list element,  but  something  the
       list  element  refers  to.  The list element itself doesn't change: it's
       still the same variable.

       You also have to be careful about context. You can assign an array to  a
       scalar  to  get the number of elements in the array. This only works for
       arrays, though:

           my $count = @animals;  # only works with arrays

       If you try to do the same thing with what you think is a list, you get a
       quite different result. Although it looks like you have a  list  on  the
       righthand  side,  Perl  actually  sees a bunch of scalars separated by a
       comma:

           my $scalar = ( 'dog', 'cat', 'bird' );  # $scalar gets bird

       Since you're assigning to a scalar, the  righthand  side  is  in  scalar
       context.  The  comma operator (yes, it's an operator!) in scalar context
       evaluates its lefthand side, throws away the result, and  evaluates  its
       righthand  side  and  returns the result. In effect, that list-lookalike
       assigns to $scalar its rightmost value. Many people mess this up because
       they choose a list-lookalike whose last element is also the  count  they
       expect:

           my $scalar = ( 1, 2, 3 );  # $scalar gets 3, accidentally

   What is the difference between $array[1] and @array[1]?
       (contributed by brian d foy)

       The  difference  is  the  sigil,  that special character in front of the
       array name. The "$" sigil means "exactly one item", while the "@"  sigil
       means  "zero or more items". The "$" gets you a single scalar, while the
       "@" gets you a list.

       The confusion arises because people incorrectly assume  that  the  sigil
       denotes the variable type.

       The  $array[1]  is  a  single-element access to the array. It's going to
       return the item in index 1 (or undef if there is no item there).  If you
       intend to get exactly one element from the array, this is the  form  you
       should use.

       The  @array[1]  is  an array slice, although it has only one index.  You
       can pull out multiple elements simultaneously by  specifying  additional
       indices as a list, like @array[1,4,3,0].

       Using  a  slice  on  the  lefthand  side of the assignment supplies list
       context to the righthand side. This can lead to unexpected results.  For
       instance, if you want to read a single line from a filehandle, assigning
       to a scalar value is fine:

           $array[1] = <STDIN>;

       However, in list context, the line input operator  returns  all  of  the
       lines  as a list. The first line goes into @array[1] and the rest of the
       lines mysteriously disappear:

           @array[1] = <STDIN>;  # most likely not what you want

       Either the "use warnings" pragma or the -w flag will warn you  when  you
       use an array slice with a single index.

   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 create
       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;

       If you want to use a module, try the "uniq" function from List::Util. In
       list  context  it returns the unique elements, preserving their order in
       the list. In scalar context, it returns the number of unique elements.

           use List::Util qw(uniq);

           my @unique = uniq( 1, 2, 3, 4, 4, 5, 6, 5, 8 ); # 1,2,3,4,5,6,8
           my $unique = uniq( 1, 2, 3, 4, 4, 5, 6, 5, 8 ); # 7

       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
       element, 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 and brian d foy)

       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:

           my @blues = qw/azure cerulean teal turquoise lapis-lazuli/;
           my %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:

           my @primes = (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31);
           my @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:

           my @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-
       organization 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  "any" for this purpose. It works by stopping once it finds the
       element. It's written in C for speed, and its Perl equivalent looks like
       this subroutine:

           sub any (&@) {
               my $code = shift;
               foreach (@_) {
                   return 1 if $code->();
               }
               return 0;
           }

       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:

           my (@union, @intersection, @difference);
           my %count = ();
           foreach my $element (@array1, @array2) { $count{$element}++ }
           foreach my $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);
           my @a = my @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);

           my %a = my %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,  use  the  firstidx()  function   from
       "List::MoreUtils":

           use List::MoreUtils qw(firstidx);
           my $index = firstidx { /Perl/ } @array;

       Or  write  it  yourself,  iterating through the indices and checking 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?
       (contributed by brian d foy)

       Perl's  arrays  do not have a fixed size, so you don't need linked lists
       if you just want to add or remove items. You can  use  array  operations
       such as "push", "pop", "shift", "unshift", or "splice" to do that.

       Sometimes,  however,  linked lists can be useful in situations where you
       want to "shard" an array so you have many  small  arrays  instead  of  a
       single  big  array. You can keep arrays longer than Perl's largest array
       index, lock smaller arrays separately in threaded  programs,  reallocate
       less memory, or quickly insert elements in the middle of the chain.

       Steve  Lembark goes through the details in his YAPC::NA 2009 talk "Perly
       Linked Lists"  (  <http://www.slideshare.net/lembark/perly-linked-lists>
       ), although you can just use his LinkedList::Single module.

   How do I handle circular lists?
       (contributed by brian d foy)

       If  you  want to cycle through an array endlessly, you can increment the
       index modulo the number of elements in the array:

           my @array = qw( a b c );
           my $i = 0;

           while( 1 ) {
               print $array[ $i++ % @array ], "\n";
               last if $i > 20;
           }

       You can also use Tie::Cycle to use a scalar that  always  has  the  next
       element of the circular array:

           use Tie::Cycle;

           tie my $cycle, 'Tie::Cycle', [ qw( FFFFFF 000000 FFFF00 ) ];

           print $cycle; # FFFFFF
           print $cycle; # 000000
           print $cycle; # FFFF00

       The  Array::Iterator::Circular  creates  an iterator object for circular
       arrays:

           use Array::Iterator::Circular;

           my $color_iterator = Array::Iterator::Circular->new(
               qw(red green blue orange)
               );

           foreach ( 1 .. 20 ) {
               print $color_iterator->next, "\n";
           }

   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;  # $deck is a reference to an array
               return unless @$deck; # must not be empty!

               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,
       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.

   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:

           my @volumes = @radii;
           for (@volumes) {   # @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:

           my @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 my $orbit ( values %orbits ) {
               ($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):

           my $index   = rand @array;
           my $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-Krause 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;

       The  Algorithm::Loops  module  also  provides  the   "NextPermute"   and
       "NextPermuteNum"   functions   which   efficiently   find   all   unique
       permutations  of  an  array,  even  if  it  contains  duplicate  values,
       modifying  it in-place: if its elements are in reverse-sorted order then
       the array is reversed, making it sorted, and it returns false; otherwise
       the next permutation is returned.

       "NextPermute" uses string order and "NextPermuteNum" numeric  order,  so
       you can enumerate all the permutations of 0..9 like this:

           use Algorithm::Loops qw(NextPermuteNum);

           my @list= 0..9;
           do { print "@list\n" } while NextPermuteNum @list;

   How do I sort an array by (anything)?
       Supply   a  comparison  function  to  sort()  (described  in  "sort"  in
       perlfunc):

           @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-insensitively.

           my @idx;
           for (@data) {
               my $item;
               ($item) = /\d+\s*(\S+)/;
               push @idx, uc($item);
           }
           my @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:

           my @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.

           my @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 later in perlfaq4 on sorting hashes.

   How do I manipulate arrays of bits?
       Use pack() and unpack(), or else vec() and the bitwise operations.

       For example, you don't have to store individual bits in an array  (which
       would  mean  that you're wasting a lot of space). To convert an array of
       bits to a string, use vec() to set the right bits.  This  sets  $vec  to
       have bit N set only if $ints[N] was set:

           my @ints = (...); # array of bits, e.g. ( 1, 0, 0, 1, 1, 0 ... )
           my $vec = '';
           foreach( 0 .. $#ints ) {
               vec($vec,$_,1) = 1 if $ints[$_];
           }

       The string $vec only takes up as many bits as it needs. For instance, if
       you  had  16  entries  in @ints, $vec only needs two bytes to store them
       (not counting the scalar variable overhead).

       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:

           my $vector = Bit::Vector->new($num_of_bits);
           $vector->Index_List_Store(@ints);
           my @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
           my $vector = "\xff\x0f\xef\xfe";
           print "Ilya's string \\xff\\x0f\\xef\\xfe represents the number ",
           unpack("N", $vector), "\n";
           my $is_set = vec($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?
       (contributed by brian d foy)

       There  are a couple of ways that you can process an entire hash. You can
       get a list of keys, then go through each key, or grab  a  one  key-value
       pair at a time.

       To  go  through  all of the keys, use the "keys" function. This extracts
       all of the keys of the hash and gives them back to you as  a  list.  You
       can then get the value through the particular key you're processing:

           foreach my $key ( keys %hash ) {
               my $value = $hash{$key}
               ...
           }

       Once  you  have  the  list of keys, you can process that list before you
       process the hash elements. For instance, you can sort the  keys  so  you
       can process them in lexical order:

           foreach my $key ( sort keys %hash ) {
               my $value = $hash{$key}
               ...
           }

       Or,  you  might want to only process some of the items. If you only want
       to deal with the keys that start with "text:", you can select just those
       using "grep":

           foreach my $key ( grep /^text:/, keys %hash ) {
               my $value = $hash{$key}
               ...
           }

       If the hash is very large, you might not want to create a long  list  of
       keys.  To  save  some  memory, you can grab one key-value pair at a time
       using each(), which returns a pair you haven't seen yet:

           while( my( $key, $value ) = each( %hash ) ) {
               ...
           }

       The "each" operator returns the pairs in apparently random order, so  if
       ordering matters to you, you'll have to stick with the "keys" method.

       The  each() operator can be a bit tricky though. You can't add or delete
       keys of the hash while you're using it without possibly skipping or  re-
       processing  some  pairs  after  Perl  internally  rehashes  all  of  the
       elements. Additionally, a hash has only one  iterator,  so  if  you  mix
       "keys",  "values",  or  "each"  on the same hash, you risk resetting the
       iterator and messing  up  your  processing.  See  the  "each"  entry  in
       perlfunc for more details.

   How do I merge two hashes?
       (contributed by brian d foy)

       Before  you decide to merge two hashes, you have to decide what to do if
       both hashes contain keys that are the same and if you want to leave  the
       original hashes as they were.

       If you want to preserve the original hashes, copy one hash (%hash1) to a
       new  hash  (%new_hash), then add the keys from the other hash (%hash2 to
       the new hash. Checking that the key already exists  in  %new_hash  gives
       you a chance to decide what to do with the duplicates:

           my %new_hash = %hash1; # make a copy; leave %hash1 alone

           foreach my $key2 ( keys %hash2 ) {
               if( exists $new_hash{$key2} ) {
                   warn "Key [$key2] is in both hashes!";
                   # handle the duplicate (perhaps only warning)
                   ...
                   next;
               }
               else {
                   $new_hash{$key2} = $hash2{$key2};
               }
           }

       If  you  don't want to create a new hash, you can still use this looping
       technique; just change the %new_hash to %hash1.

           foreach my $key2 ( keys %hash2 ) {
               if( exists $hash1{$key2} ) {
                   warn "Key [$key2] is in both hashes!";
                   # handle the duplicate (perhaps only warning)
                   ...
                   next;
               }
               else {
                   $hash1{$key2} = $hash2{$key2};
               }
             }

       If you don't care that one hash overwrites  keys  and  values  from  the
       other,  you  could  just use a hash slice to add one hash to another. In
       this case, values from %hash2 replace values from %hash1 when they  have
       keys in common:

           @hash1{ keys %hash2 } = values %hash2;

   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:

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

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

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

   How can I know how many entries are in a hash?
       (contributed by brian d foy)

       This  is  very  similar  to  "How do I process an entire hash?", also in
       perlfaq4, but a bit simpler in the common cases.

       You can use the keys() built-in function in scalar context to  find  out
       how many entries you have in a hash:

           my $key_count = keys %hash; # must be scalar context!

       If  you want to find out how many entries have a defined value, that's a
       bit different. You have to check each value. A "grep" is handy:

           my $defined_value_count = grep { defined } values %hash;

       You can use that same structure to count the entries any  way  that  you
       like.  If  you  want the count of the keys with vowels in them, you just
       test for that instead:

           my $vowel_count = grep { /[aeiou]/ } keys %hash;

       The "grep" in scalar context returns the count. If you want the list  of
       matching items, just use it in list context instead:

           my @defined_values = grep { defined } values %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 operators
       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 as strings. The
       output list has the keys in string order. Once we have the keys, we  can
       go through them to create a report which lists the keys in string order:

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

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

       We could get more fancy in the sort() block though. Instead of comparing
       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 "fc"  to
       safely lowercase the keys before comparing them:

           use v5.16;
           my @keys = sort { fc($a) cmp fc($b) } keys %hash;

       Earlier  versions  of  this  answer  used  "lc",  but  that  could  give
       unexpected results with some Unicode strings. See "fc" in  perlfunc  for
       the  details.  The  Unicode::UCD  module does the same thing for earlier
       perls.

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

           use v5.16;
           my @keys = sort {
               $hash{$a} <=> $hash{$b}
                   or
               fc($a) cmp fc($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.
       Although  this  does  keep  your  hash  sorted,  you  might not like the
       slowdown you suffer from the tie interface. Are you sure you need to  do
       this? :)

   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 $hash{'a'}                is true (Perl 5 only)
           grep ($_ 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 $hash{'a'}                is true (Perl 5 only)
           grep ($_ 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 $hash{'a'}                is FALSE (Perl 5 only)
           grep ($_ 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
       example,  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
       ordinary hashes.

   How do I reset an each() operation part-way through?
       (contributed by brian d foy)

       You can use the "keys" or "values" functions to reset "each". To  simply
       reset  the  iterator used by "each" without doing anything else, use one
       of them in void context:

           keys %hash; # resets iterator, nothing else.
           values %hash; # resets iterator, nothing else.

       See the documentation for "each" in perlfunc.

   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:

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

       Or more succinctly:

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

       Or if you really want to save space:

           my %seen = ();
           while (defined ($key = each %foo)) {
               $seen{$key}++;
           }
           while (defined ($key = each %bar)) {
               $seen{$key}++;
           }
           my @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. You might also try DBM::Deep, but it can be a  bit
       slow.

   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?
       (contributed by brian d foy)

       Are you using a really old version of Perl?

       Normally,  accessing  a  hash key's value for a nonexistent key will not
       create the key.

           my %hash  = ();
           my $value = $hash{ 'foo' };
           print "This won't print\n" if exists $hash{ 'foo' };

       Passing $hash{ 'foo' } to a  subroutine  used  to  be  a  special  case,
       though.   Since you could assign directly to $_[0], Perl had to be ready
       to make that assignment so it created the hash key ahead of time:

           my_sub( $hash{ 'foo' } );
           print "This will print before 5.004\n" if exists $hash{ 'foo' };

           sub my_sub {
               # $_[0] = 'bar'; # create hash key in case you do this
               1;
           }

       Since Perl 5.004, however, this situation is a  special  case  and  Perl
       creates the hash key only when you make the assignment:

           my_sub( $hash{ 'foo' } );
           print "This will print, even after 5.004\n" if exists $hash{ 'foo' };

           sub my_sub {
               $_[0] = 'bar';
           }

       However,  if  you  want the old behavior (and think carefully about that
       because it's a weird side effect), you can pass a  hash  slice  instead.
       Perl 5.004 didn't make this a special case:

           my_sub( @hash{ qw/foo/ } );

   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  perlreftut.   Examples  of
       complex  data  structures  are given in perldsc and perllol. Examples of
       structures and object-oriented classes are in perlootut.

   How can I use a reference as a hash key?
       (contributed by brian d foy and Ben Morrow)

       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.

       Remember  that  the  entry  in  the hash will still be there even if the
       referenced variable  goes out of scope, and that it is entirely possible
       for Perl to subsequently allocate  a  different  variable  at  the  same
       address.  This will mean a new variable might accidentally be associated
       with the value for an old.

       If you have Perl 5.10 or later, and you  just  want  to  store  a  value
       against   the   reference  for  lookup  later,  you  can  use  the  core
       Hash::Util::Fieldhash module. This will also handle renaming the keys if
       you use multiple threads (which causes all variables to  be  reallocated
       at   new   addresses,  changing  their  stringification),  and  garbage-
       collecting the entries when the referenced variable goes out of scope.

       If you actually need to be able to get a real reference back  from  each
       hash entry, you can use the Tie::RefHash module, which does the required
       work for you.

   How can I check if a key exists in a multilevel hash?
       (contributed by brian d foy)

       The  trick  to  this problem is avoiding accidental autovivification. If
       you want to check three keys deep, you might naïvely try this:

           my %hash;
           if( exists $hash{key1}{key2}{key3} ) {
               ...;
           }

       Even though you started with a completely empty hash, after that call to
       "exists" you've created the structure you needed to check for "key3":

           %hash = (
                     'key1' => {
                                 'key2' => {}
                               }
                   );

       That's autovivification. You can get around this  in  a  few  ways.  The
       easiest  way  is  to  just  turn  it off. The lexical "autovivification"
       pragma is available on CPAN. Now you don't add to the hash:

           {
               no autovivification;
               my %hash;
               if( exists $hash{key1}{key2}{key3} ) {
                   ...;
               }
           }

       The Data::Diver module on CPAN  can  do  it  for  you  too.  Its  "Dive"
       subroutine  can  tell  you  not  only if the keys exist but also get the
       value:

           use Data::Diver qw(Dive);

           my @exists = Dive( \%hash, qw(key1 key2 key3) );
           if(  ! @exists  ) {
               ...; # keys do not exist
           }
           elsif(  ! defined $exists[0]  ) {
               ...; # keys exist but value is undef
           }

       You can easily do this yourself too by checking each level of  the  hash
       before   you  move  onto  the  next  level.  This  is  essentially  what
       Data::Diver does for you:

           if( check_hash( \%hash, qw(key1 key2 key3) ) ) {
               ...;
           }

           sub check_hash {
              my( $hash, @keys ) = @_;

              return unless @keys;

              foreach my $key ( @keys ) {
                  return unless eval { exists $hash->{$key} };
                  $hash = $hash->{$key};
               }

              return 1;
           }

   How can I prevent addition of unwanted keys into a hash?
       Since version 5.8.0, hashes can be restricted to a fixed number of given
       keys. Methods for  creating  and  dealing  with  restricted  hashes  are
       exported by the Hash::Util module.

Data: Misc
   How do I handle binary data correctly?
       Perl  is  binary-clean,  so  it  can  handle  binary data just fine.  On
       Windows or DOS, however, you have to use "binmode" for binary  files  to
       avoid conversions for line endings. In general, you should use "binmode"
       any time you want to work with binary data.

       Also see "binmode" in perlfunc or perlopentut.

       If  you're  concerned  about 8-bit textual 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
       "Infinity", you probably just want to use a regular expression (see also
       perlretut and perlre):

           use 5.010;

           if ( /\D/ )
               { say "\thas nondigits"; }
           if ( /^\d+\z/ )
               { say "\tis a whole number"; }
           if ( /^-?\d+\z/ )
               { say "\tis an integer"; }
           if ( /^[+-]?\d+\z/ )
               { say "\tis a +/- integer"; }
           if ( /^-?(?:\d+\.?|\.\d)\d*\z/ )
               { say "\tis a real number"; }
           if ( /^[+-]?(?=\.?\d)\d*\.?\d*(?:e[+-]?\d+)?\z/i )
               { say "\tis a C float" }

       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
       Regexp::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"  function
       for  converting strings to doubles (and also "POSIX::strtol" for longs).
       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.

   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
       recursively 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 references,
       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?
       (contributed by Ben Morrow)

       You can use the "UNIVERSAL" class (see UNIVERSAL).  However,  please  be
       very  careful to consider the consequences of doing this: adding methods
       to every object is very  likely  to  have  unintended  consequences.  If
       possible,  it  would be better to have all your object inherit from some
       common base class, or to use an object system like Moose  that  supports
       roles.

   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  arrays.h/arrays.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.

       See <https://metacpan.org/release/PGPLOT> for the code.

AUTHOR AND COPYRIGHT
       Copyright  (c)  1997-2010 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 v5.40.1                       2026-08-30                       PERLFAQ4(1)

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