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+=head1 NAME
+
+perlfaq4 - Data Manipulation
+
+=head1 DESCRIPTION
+
+This section of the FAQ answers questions related to manipulating
+numbers, dates, strings, arrays, hashes, and miscellaneous data issues.
+
+=head1 Data: Numbers
+
+=head2 Why am I getting long decimals (eg, 19.9499999999999) instead of the numbers I should be getting (eg, 19.95)?
+
+For the long explanation, see David Goldberg's "What Every Computer
+Scientist Should Know About Floating-Point Arithmetic"
+(http://docs.sun.com/source/806-3568/ncg_goldberg.html).
+
+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.
+
+L<perlnumber> shows the gory details of number representations and
+conversions.
+
+To limit the number of decimal places in your numbers, you can use the
+C<printf> or C<sprintf> function. See the L<"Floating Point
+Arithmetic"|perlop> for more details.
+
+ printf "%.2f", 10/3;
+
+ my $number = sprintf "%.2f", 10/3;
+
+=head2 Why is int() broken?
+
+Your C<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.
+
+=head2 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, C<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 C<0> or using C<oct>:
+
+ chmod( 0644, $file); # right, has leading zero
+ chmod( oct(644), $file ); # 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 C<@ARGV>:
+
+ chmod( $ARGV[0], $file); # wrong, even if "0644"
+
+ chmod( oct($ARGV[0]), $file ); # 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;
+
+=head2 Does Perl have a round() function? What about ceil() and floor()? Trig functions?
+
+Remember that C<int()> merely truncates toward 0. For rounding to a
+certain number of digits, C<sprintf()> or C<printf()> is usually the
+easiest route.
+
+ printf("%.3f", 3.1415926535); # prints 3.142
+
+The C<POSIX> module (part of the standard Perl distribution)
+implements C<ceil()>, C<floor()>, and a number of other mathematical
+and trigonometric functions.
+
+ use POSIX;
+ $ceil = ceil(3.5); # 4
+ $floor = floor(3.5); # 3
+
+In 5.000 to 5.003 perls, trigonometry was done in the C<Math::Complex>
+module. With 5.004, the C<Math::Trig> module (part of the standard Perl
+distribution) implements the trigonometric functions. Internally it
+uses the C<Math::Complex> module and some functions can break out from
+the real axis into the complex plane, for example the inverse sine of
+2.
+
+Rounding in financial applications can have serious implications, and
+the rounding method used should be specified precisely. In these
+cases, it probably pays not to trust whichever system rounding is
+being used by Perl, but to instead implement the rounding function you
+need yourself.
+
+To see why, notice how you'll still have an issue on half-way-point
+alternation:
+
+ for ($i = 0; $i < 1.01; $i += 0.05) { printf "%.1f ",$i}
+
+ 0.0 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 0.6 0.7 0.7
+ 0.8 0.8 0.9 0.9 1.0 1.0
+
+Don't blame Perl. It's the same as in C. IEEE says we have to do
+this. Perl numbers whose absolute values are integers under 2**31 (on
+32 bit machines) will work pretty much like mathematical integers.
+Other numbers are not guaranteed.
+
+=head2 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 L<perlfaq4> use the C<Bit::Vector>
+module from CPAN. The reason you might choose C<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.
+
+=over 4
+
+=item How do I convert hexadecimal into decimal
+
+Using perl's built in conversion of C<0x> notation:
+
+ $dec = 0xDEADBEEF;
+
+Using the C<hex> function:
+
+ $dec = hex("DEADBEEF");
+
+Using C<pack>:
+
+ $dec = unpack("N", pack("H8", substr("0" x 8 . "DEADBEEF", -8)));
+
+Using the CPAN module C<Bit::Vector>:
+
+ use Bit::Vector;
+ $vec = Bit::Vector->new_Hex(32, "DEADBEEF");
+ $dec = $vec->to_Dec();
+
+=item How do I convert from decimal to hexadecimal
+
+Using C<sprintf>:
+
+ $hex = sprintf("%X", 3735928559); # upper case A-F
+ $hex = sprintf("%x", 3735928559); # lower case a-f
+
+Using C<unpack>:
+
+ $hex = unpack("H*", pack("N", 3735928559));
+
+Using C<Bit::Vector>:
+
+ use Bit::Vector;
+ $vec = Bit::Vector->new_Dec(32, -559038737);
+ $hex = $vec->to_Hex();
+
+And C<Bit::Vector> supports odd bit counts:
+
+ use Bit::Vector;
+ $vec = Bit::Vector->new_Dec(33, 3735928559);
+ $vec->Resize(32); # suppress leading 0 if unwanted
+ $hex = $vec->to_Hex();
+
+=item How do I convert from octal to decimal
+
+Using Perl's built in conversion of numbers with leading zeros:
+
+ $dec = 033653337357; # note the leading 0!
+
+Using the C<oct> function:
+
+ $dec = oct("33653337357");
+
+Using C<Bit::Vector>:
+
+ use Bit::Vector;
+ $vec = Bit::Vector->new(32);
+ $vec->Chunk_List_Store(3, split(//, reverse "33653337357"));
+ $dec = $vec->to_Dec();
+
+=item How do I convert from decimal to octal
+
+Using C<sprintf>:
+
+ $oct = sprintf("%o", 3735928559);
+
+Using C<Bit::Vector>:
+
+ use Bit::Vector;
+ $vec = Bit::Vector->new_Dec(32, -559038737);
+ $oct = reverse join('', $vec->Chunk_List_Read(3));
+
+=item How do I convert from binary to decimal
+
+Perl 5.6 lets you write binary numbers directly with
+the C<0b> notation:
+
+ $number = 0b10110110;
+
+Using C<oct>:
+
+ my $input = "10110110";
+ $decimal = oct( "0b$input" );
+
+Using C<pack> and C<ord>:
+
+ $decimal = ord(pack('B8', '10110110'));
+
+Using C<pack> and C<unpack> for larger strings:
+
+ $int = unpack("N", pack("B32",
+ substr("0" x 32 . "11110101011011011111011101111", -32)));
+ $dec = sprintf("%d", $int);
+
+ # substr() is used to left pad a 32 character string with zeros.
+
+Using C<Bit::Vector>:
+
+ $vec = Bit::Vector->new_Bin(32, "11011110101011011011111011101111");
+ $dec = $vec->to_Dec();
+
+=item How do I convert from decimal to binary
+
+Using C<sprintf> (perl 5.6+):
+
+ $bin = sprintf("%b", 3735928559);
+
+Using C<unpack>:
+
+ $bin = unpack("B*", pack("N", 3735928559));
+
+Using C<Bit::Vector>:
+
+ use Bit::Vector;
+ $vec = Bit::Vector->new_Dec(32, -559038737);
+ $bin = $vec->to_Bin();
+
+The remaining transformations (e.g. hex -> oct, bin -> hex, etc.)
+are left as an exercise to the inclined reader.
+
+=back
+
+=head2 Why doesn't & work the way I want it to?
+
+The behavior of binary arithmetic operators depends on whether they're
+used on numbers or strings. The operators treat a string as a series
+of bits and work with that (the string C<"3"> is the bit pattern
+C<00110011>). The operators work with the binary form of a number
+(the number C<3> is treated as the bit pattern C<00000011>).
+
+So, saying C<11 & 3> performs the "and" operation on numbers (yielding
+C<3>). Saying C<"11" & "3"> performs the "and" operation on strings
+(yielding C<"1">).
+
+Most problems with C<&> and C<|> arise because the programmer thinks
+they have a number but really it's a string. The rest arise because
+the programmer says:
+
+ if ("\020\020" & "\101\101") {
+ # ...
+ }
+
+but a string consisting of two null bytes (the result of C<"\020\020"
+& "\101\101">) is not a false value in Perl. You need:
+
+ if ( ("\020\020" & "\101\101") !~ /[^\000]/) {
+ # ...
+ }
+
+=head2 How do I multiply matrices?
+
+Use the C<Math::Matrix> or C<Math::MatrixReal> modules (available from CPAN)
+or the C<PDL> extension (also available from CPAN).
+
+=head2 How do I perform an operation on a series of integers?
+
+To call a function on each element in an array, and collect the
+results, use:
+
+ @results = map { my_func($_) } @array;
+
+For example:
+
+ @triple = map { 3 * $_ } @single;
+
+To call a function on each element of an array, but ignore the
+results:
+
+ foreach $iterator (@array) {
+ some_func($iterator);
+ }
+
+To call a function on each integer in a (small) range, you B<can> use:
+
+ @results = map { some_func($_) } (5 .. 25);
+
+but you should be aware that the C<..> operator creates an array of
+all integers in the range. This can take a lot of memory for large
+ranges. Instead use:
+
+ @results = ();
+ for ($i=5; $i < 500_005; $i++) {
+ push(@results, some_func($i));
+ }
+
+This situation has been fixed in Perl5.005. Use of C<..> in a C<for>
+loop will iterate over the range, without creating the entire range.
+
+ for my $i (5 .. 500_005) {
+ push(@results, some_func($i));
+ }
+
+will not create a list of 500,000 integers.
+
+=head2 How can I output Roman numerals?
+
+Get the L<http://www.cpan.org/modules/by-module/Roman> module.
+
+=head2 Why aren't my random numbers random?
+
+If you're using a version of Perl before 5.004, you must call C<srand>
+once at the start of your program to seed the random number generator.
+
+ BEGIN { srand() if $] < 5.004 }
+
+5.004 and later automatically call C<srand> at the beginning. Don't
+call C<srand> more than once--you make your numbers less random,
+rather than more.
+
+Computers are good at being predictable and bad at being random
+(despite appearances caused by bugs in your programs :-). see the
+F<random> article in the "Far More Than You Ever Wanted To Know"
+collection in L<http://www.cpan.org/misc/olddoc/FMTEYEWTK.tgz>, courtesy
+of Tom Phoenix, talks more about this. John von Neumann said, "Anyone
+who attempts to generate random numbers by deterministic means is, of
+course, living in a state of sin."
+
+If you want numbers that are more random than C<rand> with C<srand>
+provides, you should also check out the C<Math::TrulyRandom> module from
+CPAN. It uses the imperfections in your system's timer to generate
+random numbers, but this takes quite a while. If you want a better
+pseudorandom generator than comes with your operating system, look at
+"Numerical Recipes in C" at L<http://www.nr.com/>.
+
+=head2 How do I get a random number between X and Y?
+
+To get a random number between two values, you can use the C<rand()>
+built-in to get a random number between 0 and 1. From there, you shift
+that into the range that you want.
+
+C<rand($x)> returns a number such that C<< 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 I<X> and I<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 $number = 10 + int rand( 15-10+1 ); # ( 10,11,12,13,14, or 15 )
+
+Hence you derive the following simple function to abstract
+that. It selects a random integer between the two given
+integers (inclusive), For example: C<random_int_between(50,120)>.
+
+ sub random_int_between {
+ my($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);
+ }
+
+=head1 Data: Dates
+
+=head2 How do I find the day or week of the year?
+
+The C<localtime> function returns the day of the year. Without an
+argument C<localtime> uses the current time.
+
+ $day_of_year = (localtime)[7];
+
+The C<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 C<POSIX>'s C<mktime> to get
+a time in epoch seconds for the argument to C<localtime>.
+
+ use POSIX qw/mktime strftime/;
+ my $week_of_year = strftime "%W",
+ localtime( mktime( 0, 0, 0, 18, 11, 87 ) );
+
+The C<Date::Calc> module provides two functions to calculate these.
+
+ use Date::Calc;
+ my $day_of_year = Day_of_Year( 1987, 12, 18 );
+ my $week_of_year = Week_of_Year( 1987, 12, 18 );
+
+=head2 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 C<POSIX> module's C<strftime()> function has been
+extended in a non-standard way to use a C<%C> format, which they
+sometimes claim is the "century". It isn't, because on most such
+systems, this is only the first two digits of the four-digit year, and
+thus cannot be used to reliably determine the current century or
+millennium.
+
+=head2 How can I compare two dates and find the difference?
+
+(contributed by brian d foy)
+
+You could just store all your dates as a number and then subtract.
+Life isn't always that simple though. If you want to work with
+formatted dates, the C<Date::Manip>, C<Date::Calc>, or C<DateTime>
+modules can help you.
+
+=head2 How can I take a string and turn it into epoch seconds?
+
+If it's a regular enough string that it always has the same format,
+you can split it up and pass the parts to C<timelocal> in the standard
+C<Time::Local> module. Otherwise, you should look into the C<Date::Calc>
+and C<Date::Manip> modules from CPAN.
+
+=head2 How can I find the Julian Day?
+
+(contributed by brian d foy and Dave Cross)
+
+You can use the C<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.
+
+You can also try the C<DateTime> module, which can convert a date/time
+to a Julian Day.
+
+ $ perl -MDateTime -le'print DateTime->today->jd'
+ 2453401.5
+
+Or the modified Julian Day
+
+ $ perl -MDateTime -le'print DateTime->today->mjd'
+ 53401
+
+Or even the day of the year (which is what some people think of as a
+Julian day)
+
+ $ perl -MDateTime -le'print DateTime->today->doy'
+ 31
+
+=head2 How do I find yesterday's date?
+X<date> X<yesterday> X<DateTime> X<Date::Calc> X<Time::Local>
+X<daylight saving time> X<day> X<Today_and_Now> X<localtime>
+X<timelocal>
+
+(contributed by brian d foy)
+
+Use one of the Date modules. The C<DateTime> module makes it simple, and
+give you the same time of day, only the day before.
+
+ use DateTime;
+
+ my $yesterday = DateTime->now->subtract( days => 1 );
+
+ print "Yesterday was $yesterday\n";
+
+You can also use the C<Date::Calc> module using its C<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. Let the modules do the work.
+
+If you absolutely must do it yourself (or can't use one of the
+modules), here's a solution using C<Time::Local>, which comes with
+Perl:
+
+ # 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];
+ printf "Yesterday: %d-%02d-%02d\n", $y+1900, $m+1, $d;
+
+In this case, you measure the day starting at noon, and subtract 24
+hours. Even if the length of the calendar day is 23 or 25 hours,
+you'll still end up on the previous calendar day, although not at
+noon. Since you don't care about the time, the one hour difference
+doesn't matter and you end up with the previous date.
+
+=head2 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
+C<localtime> for its proper use.
+
+Starting with Perl 5.11, C<localtime> and C<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 C<perl>:
+
+ % perl5.11.2 -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 C<perl>, you can get even larger dates for those really long
+running projects:
+
+ % perl5.11.2 -E 'say scalar gmtime( 0x9FFF_FFFFFFFF )'
+ Thu Nov 2 00:42:39 5576711
+
+You're still out of luck if you need to keep tracking of decaying protons
+though.
+
+=head1 Data: Strings
+
+=head2 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 C<Regexp::Common>.
+
+Some modules have validation for particular types of input, such
+as C<Business::ISBN>, C<Business::CreditCard>, C<Email::Valid>,
+and C<Data::Validate::IP>.
+
+=head2 How do I unescape a string?
+
+It depends just what you mean by "escape". URL escapes are dealt
+with in L<perlfaq9>. Shell escapes with the backslash (C<\>)
+character are removed with
+
+ s/\\(.)/$1/g;
+
+This won't expand C<"\n"> or C<"\t"> or any other special escapes.
+
+=head2 How do I remove consecutive pairs of characters?
+
+(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 C<(.)>. The memory parentheses
+store the matched character in the back-reference C<\1> and we use
+that to require that the same thing immediately follow it. We replace
+that part of the string with the character in C<$1>.
+
+ s/(.)\1/$1/g;
+
+We can also use the transliteration operator, C<tr///>. In this
+example, the search list side of our C<tr///> contains nothing, but
+the C<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 C<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
+
+=head2 How do I expand function calls in a string?
+
+(contributed by brian d foy)
+
+This is documented in L<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 C<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 C<Interpolation> module can also do a lot of magic for you. You can
+specify a variable name, in this case C<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";
+
+=head2 How do I find matching/nesting anything?
+
+This isn't something that can be done in one regular expression, no
+matter how complicated. To find something between two single
+characters, a pattern like C</x([^x]*)x/> will get the intervening
+bits in $1. For multiple ones, then something more like
+C</alpha(.*?)omega/> would be needed. But none of these deals with
+nested patterns. For balanced expressions using C<(>, C<{>, C<[> or
+C<< < >> as delimiters, use the CPAN module Regexp::Common, or see
+L<perlre/(??{ code })>. For other cases, you'll have to write a
+parser.
+
+If you are serious about writing a parser, there are a number of
+modules or oddities that will make your life a lot easier. There are
+the CPAN modules C<Parse::RecDescent>, C<Parse::Yapp>, and
+C<Text::Balanced>; and the C<byacc> program. Starting from perl 5.8
+the C<Text::Balanced> is part of the standard distribution.
+
+One simple destructive, inside-out approach that you might try is to
+pull out the smallest nesting parts one at a time:
+
+ while (s/BEGIN((?:(?!BEGIN)(?!END).)*)END//gs) {
+ # do something with $1
+ }
+
+A more complicated and sneaky approach is to make Perl's regular
+expression engine do it for you. This is courtesy Dean Inada, and
+rather has the nature of an Obfuscated Perl Contest entry, but it
+really does work:
+
+ # $_ contains the string to parse
+ # BEGIN and END are the opening and closing markers for the
+ # nested text.
+
+ @( = ('(','');
+ @) = (')','');
+ ($re=$_)=~s/((BEGIN)|(END)|.)/$)[!$3]\Q$1\E$([!$2]/gs;
+ @$ = (eval{/$re/},$@!~/unmatched/i);
+ print join("\n",@$[0..$#$]) if( $$[-1] );
+
+=head2 How do I reverse a string?
+
+Use C<reverse()> in scalar context, as documented in
+L<perlfunc/reverse>.
+
+ $reversed = reverse $string;
+
+=head2 How do I expand tabs in a string?
+
+You can do it yourself:
+
+ 1 while $string =~ s/\t+/' ' x (length($&) * 8 - length($`) % 8)/e;
+
+Or you can just use the C<Text::Tabs> module (part of the standard Perl
+distribution).
+
+ use Text::Tabs;
+ @expanded_lines = expand(@lines_with_tabs);
+
+=head2 How do I reformat a paragraph?
+
+Use C<Text::Wrap> (part of the standard Perl distribution):
+
+ use Text::Wrap;
+ print wrap("\t", ' ', @paragraphs);
+
+The paragraphs you give to C<Text::Wrap> should not contain embedded
+newlines. C<Text::Wrap> doesn't justify the lines (flush-right).
+
+Or use the CPAN module C<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 C<Text::Autoformat> to appreciate its many
+capabilities.
+
+=head2 How can I access or change N characters of a string?
+
+You can access the first characters of a string with substr().
+To get the first character, for example, start at position 0
+and grab the string of length 1.
+
+
+ $string = "Just another Perl Hacker";
+ $first_char = substr( $string, 0, 1 ); # 'J'
+
+To change part of a string, you can use the optional fourth
+argument which is the replacement string.
+
+ substr( $string, 13, 4, "Perl 5.8.0" );
+
+You can also use substr() as an lvalue.
+
+ substr( $string, 13, 4 ) = "Perl 5.8.0";
+
+=head2 How do I change the Nth occurrence of something?
+
+You have to keep track of N yourself. For example, let's say you want
+to change the fifth occurrence of C<"whoever"> or C<"whomever"> into
+C<"whosoever"> or C<"whomsoever">, case insensitively. 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 C</g> modifier in a C<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: C<"The third fish is a red one."> You can also use a
+repetition count and repeated pattern like this:
+
+ /(?:\w+\s+fish\s+){2}(\w+)\s+fish/i;
+
+=head2 How can I count the number of occurrences of a substring within a string?
+
+There are a number of ways, with varying efficiency. If you want a
+count of a certain single character (X) within a string, you can use the
+C<tr///> function like so:
+
+ $string = "ThisXlineXhasXsomeXx'sXinXit";
+ $count = ($string =~ tr/X//);
+ print "There are $count X 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, C<tr///> won't work. What you can do is wrap a while()
+loop around a global pattern match. For example, let's count negative
+integers:
+
+ $string = "-9 55 48 -2 23 -76 4 14 -44";
+ while ($string =~ /-\d+/g) { $count++ }
+ print "There are $count negative numbers in the string";
+
+Another version uses a global match in list context, then assigns the
+result to a scalar, producing a count of the number of matches.
+
+ $count = () = $string =~ /-\d+/g;
+
+=head2 How do I capitalize all the words on one line?
+X<Text::Autoformat> X<capitalize> X<case, title> X<case, sentence>
+
+(contributed by brian d foy)
+
+Damian Conway's L<Text::Autoformat> handles all of the thinking
+for you.
+
+ use Text::Autoformat;
+ my $x = "Dr. Strangelove or: How I Learned to Stop ".
+ "Worrying and Love the Bomb";
+
+ print $x, "\n";
+ for my $style (qw( sentence title highlight )) {
+ print autoformat($x, { case => $style }), "\n";
+ }
+
+How do you want to capitalize those words?
+
+ FRED AND BARNEY'S LODGE # all uppercase
+ Fred And Barney's Lodge # title case
+ Fred and Barney's Lodge # highlight case
+
+It's not as easy a problem as it looks. How many words do you think
+are in there? Wait for it... wait for it.... If you answered 5
+you're right. Perl words are groups of C<\w+>, but that's not what
+you want to capitalize. How is Perl supposed to know not to capitalize
+that C<s> after the apostrophe? You could try a regular expression:
+
+ $string =~ s/ (
+ (^\w) #at the beginning of the line
+ | # or
+ (\s\w) #preceded by whitespace
+ )
+ /\U$1/xg;
+
+ $string =~ s/([\w']+)/\u\L$1/g;
+
+Now, what if you don't want to capitalize that "and"? Just use
+L<Text::Autoformat> and get on with the next problem. :)
+
+=head2 How can I split a [character] delimited string except when inside [character]?
+
+Several modules can handle this sort of parsing--C<Text::Balanced>,
+C<Text::CSV>, C<Text::CSV_XS>, and C<Text::ParseWords>, among others.
+
+Take the example case of trying to split a string that is
+comma-separated into its different fields. You can't use C<split(/,/)>
+because you shouldn't split if the comma is inside quotes. For
+example, take a data line like this:
+
+ SAR001,"","Cimetrix, Inc","Bob Smith","CAM",N,8,1,0,7,"Error, Core Dumped"
+
+Due to the restriction of the quotes, this is a fairly complex
+problem. Thankfully, we have Jeffrey Friedl, author of
+I<Mastering Regular Expressions>, to handle these for us. He
+suggests (assuming your string is contained in C<$text>):
+
+ @new = ();
+ push(@new, $+) while $text =~ m{
+ "([^\"\\]*(?:\\.[^\"\\]*)*)",? # groups the phrase inside the quotes
+ | ([^,]+),?
+ | ,
+ }gx;
+ push(@new, undef) if substr($text,-1,1) eq ',';
+
+If you want to represent quotation marks inside a
+quotation-mark-delimited field, escape them with backslashes (eg,
+C<"like \"this\"">.
+
+Alternatively, the C<Text::ParseWords> module (part of the standard
+Perl distribution) lets you say:
+
+ use Text::ParseWords;
+ @new = quotewords(",", 0, $text);
+
+=head2 How do I strip blank space from the beginning/end of a string?
+
+(contributed by brian d foy)
+
+A substitution can do this for you. For a single line, you want to
+replace all the leading or trailing whitespace with nothing. You
+can do that with a pair of substitutions.
+
+ s/^\s+//;
+ s/\s+$//;
+
+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+$//g;
+
+In this regular expression, the alternation matches either at the
+beginning or the end of the string since the anchors have a lower
+precedence than the alternation. With the C</g> flag, the substitution
+makes all possible matches, so it gets both. Remember, the trailing
+newline matches the C<\s+>, and the C<$> anchor can match to the
+physical 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 C<^\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 C</m> flag (for
+"multi-line"). With the C</m> flag, the C<$> matches I<before> an
+embedded newline, so it doesn't remove it. It still removes the
+newline at the end of the string.
+
+ $string =~ s/^\s+|\s+$//gm;
+
+Remember that lines consisting entirely of whitespace will disappear,
+since the first part of the alternation can match the entire string
+and replace it with nothing. If need to keep embedded blank lines,
+you have to do a little more work. Instead of matching any whitespace
+(since that includes a newline), just match the other whitespace.
+
+ $string =~ s/^[\t\f ]+|[\t\f ]+$//mg;
+
+=head2 How do I pad a string with blanks or pad a number with zeroes?
+
+In the following examples, C<$pad_len> is the length to which you wish
+to pad the string, C<$text> or C<$num> contains the string to be padded,
+and C<$pad_char> contains the padding character. You can use a single
+character string constant instead of the C<$pad_char> variable if you
+know what it is in advance. And in the same way you can use an integer in
+place of C<$pad_len> if you know the pad length in advance.
+
+The simplest method uses the C<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 C<pack> function can only pad strings on the
+right with blanks and it will truncate the result to a maximum length of
+C<$pad_len>.
+
+ # Left padding a string with blanks (no truncation):
+ $padded = sprintf("%${pad_len}s", $text);
+ $padded = sprintf("%*s", $pad_len, $text); # same thing
+
+ # Right padding a string with blanks (no truncation):
+ $padded = sprintf("%-${pad_len}s", $text);
+ $padded = sprintf("%-*s", $pad_len, $text); # same thing
+
+ # Left padding a number with 0 (no truncation):
+ $padded = sprintf("%0${pad_len}d", $num);
+ $padded = sprintf("%0*d", $pad_len, $num); # same thing
+
+ # Right padding a string with blanks using pack (will truncate):
+ $padded = pack("A$pad_len",$text);
+
+If you need to pad with a character other than blank or zero you can use
+one of the following methods. They all generate a pad string with the
+C<x> operator and combine that with C<$text>. These methods do
+not truncate C<$text>.
+
+Left and right padding with any character, creating a new string:
+
+ $padded = $pad_char x ( $pad_len - length( $text ) ) . $text;
+ $padded = $text . $pad_char x ( $pad_len - length( $text ) );
+
+Left and right padding with any character, modifying C<$text> directly:
+
+ substr( $text, 0, 0 ) = $pad_char x ( $pad_len - length( $text ) );
+ $text .= $pad_char x ( $pad_len - length( $text ) );
+
+=head2 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 C<substr> to extract a single column.
+
+ my $column = substr( $line, $start_column, $length );
+
+You can use C<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 C<Text::CSV>, C<Text::CSV_XS>, or
+C<Text::CSV_PP>.
+
+If you want to break apart an entire line of fixed columns, you can use
+C<unpack> with the A (ASCII) format. By using a number after the format
+specifier, you can denote the column width. See the C<pack> and C<unpack>
+entries in L<perlfunc> for more details.
+
+ my @fields = unpack( $line, "A8 A8 A8 A16 A4" );
+
+Note that spaces in the format argument to C<unpack> do not denote literal
+spaces. If you have space separated data, you may want C<split> instead.
+
+=head2 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 C<String::Approx>, and
+C<Text::Metaphone>, and C<Text::DoubleMetaphone> modules.
+
+=head2 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 C<Text::Template> or C<Template> Toolkit, do that instead. You
+might even be able to get the job done with C<sprintf> or C<printf>:
+
+ my $string = sprintf 'Say hello to %s and %s', $foo, $bar;
+
+However, for the one-off simple case where I don't want to pull out a
+full templating system, I'll use a string that has two Perl scalar
+variables in it. In this example, I want to expand C<$foo> and C<$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
+C</e> flag. The first C</e> evaluates C<$1> on the replacement side and
+turns it into C<$foo>. The second /e starts with C<$foo> and replaces
+it with its value. C<$foo>, then, turns into 'Fred', and that's finally
+what's left in the string:
+
+ $string =~ s/(\$\w+)/$1/eeg; # 'Say hello to Fred and Barney'
+
+The C</e> will also silently ignore violations of strict, replacing
+undefined variable names with the empty string. Since I'm using the
+C</e> flag (twice even!), I have all of the same security problems I
+have with C<eval> in its string form. If there's something odd in
+C<$foo>, perhaps something like C<@{[ 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 C</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 C<???> 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 $string;
+
+=head2 What's wrong with always quoting "$vars"?
+
+The problem is that those double-quotes force
+stringification--coercing numbers and references into strings--even
+when you don't want them to be strings. Think of it this way:
+double-quote expansion is used to produce new strings. If you already
+have a string, why do you need more?
+
+If you get used to writing odd things like these:
+
+ print "$var"; # BAD
+ $new = "$old"; # BAD
+ somefunc("$var"); # BAD
+
+You'll be in trouble. Those should (in 99.8% of the cases) be
+the simpler and more direct:
+
+ print $var;
+ $new = $old;
+ somefunc($var);
+
+Otherwise, besides slowing you down, you're going to break code when
+the thing in the scalar is actually neither a string nor a number, but
+a reference:
+
+ func(\@array);
+ sub func {
+ my $aref = shift;
+ my $oref = "$aref"; # WRONG
+ }
+
+You can also get into subtle problems on those few operations in Perl
+that actually do care about the difference between a string and a
+number, such as the magical C<++> autoincrement operator or the
+syscall() function.
+
+Stringification also destroys arrays.
+
+ @lines = `command`;
+ print "@lines"; # WRONG - extra blanks
+ print @lines; # right
+
+=head2 Why don't my E<lt>E<lt>HERE documents work?
+
+Check for these three things:
+
+=over 4
+
+=item There must be no space after the E<lt>E<lt> part.
+
+=item There (probably) should be a semicolon at the end.
+
+=item You can't (easily) have any space in front of the tag.
+
+=back
+
+If you want to indent the text in the here document, you
+can do this:
+
+ # all in one
+ ($VAR = <<HERE_TARGET) =~ s/^\s+//gm;
+ your text
+ goes here
+ HERE_TARGET
+
+But the HERE_TARGET must still be flush against the margin.
+If you want that indented also, you'll have to quote
+in the indentation.
+
+ ($quote = <<' FINIS') =~ s/^\s+//gm;
+ ...we will have peace, when you and all your works have
+ perished--and the works of your dark master to whom you
+ would deliver us. You are a liar, Saruman, and a corrupter
+ of men's hearts. --Theoden in /usr/src/perl/taint.c
+ FINIS
+ $quote =~ s/\s+--/\n--/;
+
+A nice general-purpose fixer-upper function for indented here documents
+follows. It expects to be called with a here document as its argument.
+It looks to see whether each line begins with a common substring, and
+if so, strips that substring off. Otherwise, it takes the amount of leading
+whitespace found on the first line and removes that much off each
+subsequent line.
+
+ sub fix {
+ local $_ = shift;
+ my ($white, $leader); # common whitespace and common leading string
+ if (/^\s*(?:([^\w\s]+)(\s*).*\n)(?:\s*\1\2?.*\n)+$/) {
+ ($white, $leader) = ($2, quotemeta($1));
+ } else {
+ ($white, $leader) = (/^(\s+)/, '');
+ }
+ s/^\s*?$leader(?:$white)?//gm;
+ return $_;
+ }
+
+This works with leading special strings, dynamically determined:
+
+ $remember_the_main = fix<<' MAIN_INTERPRETER_LOOP';
+ @@@ int
+ @@@ runops() {
+ @@@ SAVEI32(runlevel);
+ @@@ runlevel++;
+ @@@ while ( op = (*op->op_ppaddr)() );
+ @@@ TAINT_NOT;
+ @@@ return 0;
+ @@@ }
+ MAIN_INTERPRETER_LOOP
+
+Or with a fixed amount of leading whitespace, with remaining
+indentation correctly preserved:
+
+ $poem = fix<<EVER_ON_AND_ON;
+ Now far ahead the Road has gone,
+ And I must follow, if I can,
+ Pursuing it with eager feet,
+ Until it joins some larger way
+ Where many paths and errands meet.
+ And whither then? I cannot say.
+ --Bilbo in /usr/src/perl/pp_ctl.c
+ EVER_ON_AND_ON
+
+=head1 Data: Arrays
+
+=head2 What is the difference between 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, reaaranges them, or adds
+or subtracts some scalars, only work on arrays. These can't work on a
+list, which is fixed. Array operations include C<shift>, C<unshift>,
+C<push>, C<pop>, and C<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' ); # $scalar gets bird
+
+Since you're assigning to a scalar, the righthand side is in scalar
+context. The comma operator (yes, it's an operator!) in scalar
+context evaluates its lefthand side, throws away the result, and
+evaluates it's righthand side and returns the result. In effect,
+that list-lookalike assigns to C<$scalar> it's rightmost value. Many
+people mess this up becuase they choose a list-lookalike whose
+last element is also the count they expect:
+
+ my $scalar = ( 1, 2, 3 ); # $scalar gets 3, accidentally
+
+=head2 What is the difference between $array[1] and @array[1]?
+
+(contributed by brian d foy)
+
+The difference is the sigil, that special character in front of the
+array name. The C<$> sigil means "exactly one item", while the C<@>
+sigil means "zero or more items". The C<$> gets you a single scalar,
+while the C<@> gets you a list.
+
+The confusion arises because people incorrectly assume that the sigil
+denotes the variable type.
+
+The C<$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 C<@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 C<@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 C<@array[1]> and the rest
+of the lines mysteriously disappear:
+
+ @array[1] = <STDIN>; # most likely not what you want
+
+Either the C<use warnings> pragma or the B<-w> flag will warn you when
+you use an array slice with a single index.
+
+=head2 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 C<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 C<uniq> function from
+C<List::MoreUtils>. 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::MoreUtils qw(uniq);
+
+ my @unique = uniq( 1, 2, 3, 4, 4, 5, 6, 5, 7 ); # 1,2,3,4,5,6,7
+ my $unique = uniq( 1, 2, 3, 4, 4, 5, 6, 5, 7 ); # 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 C<%Seen>. The C<next> statement
+creates the key and immediately uses its value, which is C<undef>, so
+the loop continues to the C<push> and increments the value for that
+key. The next time the loop sees that same element, its key exists in
+the hash I<and> the value for that key is true (since it's not 0 or
+C<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;
+
+=head2 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 I<in>dication that you probably should have
+used a hash, not a list or array, to store your data. Hashes are
+designed to answer this question quickly and efficiently. Arrays aren't.
+
+That being said, there are several ways to approach this. In Perl 5.10
+and later, you can use the smart match operator to check that an item is
+contained in an array or a hash:
+
+ use 5.010;
+
+ if( $item ~~ @array )
+ {
+ say "The array contains $item"
+ }
+
+ if( $item ~~ %hash )
+ {
+ say "The hash contains $item"
+ }
+
+With earlier versions of Perl, you have to do a bit more work. If you
+are going to make this query many times over arbitrary string values,
+the fastest way is probably to invert the original array and maintain a
+hash whose keys are the first array's values:
+
+ @blues = qw/azure cerulean teal turquoise lapis-lazuli/;
+ %is_blue = ();
+ for (@blues) { $is_blue{$_} = 1 }
+
+Now you can check whether C<$is_blue{$some_color}>. It might have
+been a good idea to keep the blues all in a hash in the first place.
+
+If the values are all small integers, you could use a simple indexed
+array. This kind of an array will take up less space:
+
+ @primes = (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31);
+ @is_tiny_prime = ();
+ for (@primes) { $is_tiny_prime[$_] = 1 }
+ # or simply @istiny_prime[@primes] = (1) x @primes;
+
+Now you check whether $is_tiny_prime[$some_number].
+
+If the values in question are integers instead of strings, you can save
+quite a lot of space by using bit strings instead:
+
+ @articles = ( 1..10, 150..2000, 2017 );
+ undef $read;
+ for (@articles) { vec($read,$_,1) = 1 }
+
+Now check whether C<vec($read,$n,1)> is true for some C<$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 C<List::Util> exports
+the function C<first> 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 first (&@) {
+ my $code = shift;
+ foreach (@_) {
+ return $_ if &{$code}();
+ }
+ undef;
+ }
+
+If speed is of little concern, the common idiom uses grep in scalar context
+(which returns the number of items that passed its condition) to traverse the
+entire list. This does have the benefit of telling you how many matches it
+found, though.
+
+ my $is_there = grep $_ eq $whatever, @array;
+
+If you want to actually extract the matching elements, simply use grep in
+list context.
+
+ my @matches = grep $_ eq $whatever, @array;
+
+=head2 How do I compute the difference of two arrays? How do I compute the intersection of two arrays?
+
+Use a hash. Here's code to do both and more. It assumes that each
+element is unique in a given array:
+
+ @union = @intersection = @difference = ();
+ %count = ();
+ foreach $element (@array1, @array2) { $count{$element}++ }
+ foreach $element (keys %count) {
+ push @union, $element;
+ push @{ $count{$element} > 1 ? \@intersection : \@difference }, $element;
+ }
+
+Note that this is the I<symmetric difference>, that is, all elements
+in either A or in B but not in both. Think of it as an xor operation.
+
+=head2 How do I test whether two arrays or hashes are equal?
+
+With Perl 5.10 and later, the smart match operator can give you the answer
+with the least amount of work:
+
+ use 5.010;
+
+ if( @array1 ~~ @array2 )
+ {
+ say "The arrays are the same";
+ }
+
+ if( %hash1 ~~ %hash2 ) # doesn't check values!
+ {
+ say "The hash keys are the same";
+ }
+
+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 C<FreezeThaw>:
+
+ use FreezeThaw qw(cmpStr);
+ @a = @b = ( "this", "that", [ "more", "stuff" ] );
+
+ printf "a and b contain %s arrays\n",
+ cmpStr(\@a, \@b) == 0
+ ? "the same"
+ : "different";
+
+This approach also works for comparing hashes. Here we'll demonstrate
+two different answers:
+
+ use FreezeThaw qw(cmpStr cmpStrHard);
+
+ %a = %b = ( "this" => "that", "extra" => [ "more", "stuff" ] );
+ $a{EXTRA} = \%b;
+ $b{EXTRA} = \%a;
+
+ printf "a and b contain %s hashes\n",
+ cmpStr(\%a, \%b) == 0 ? "the same" : "different";
+
+ printf "a and b contain %s hashes\n",
+ cmpStrHard(\%a, \%b) == 0 ? "the same" : "different";
+
+
+The first reports that both those the hashes contain the same data,
+while the second reports that they do not. Which you prefer is left as
+an exercise to the reader.
+
+=head2 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 C<first()> function in the C<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 C<List::Util>, you can make your own loop to do the
+same thing. Once you find the element, you stop the loop with last.
+
+ my $found;
+ foreach ( @array ) {
+ if( /Perl/ ) { $found = $_; last }
+ }
+
+If you want the array index, you can iterate through the indices
+and check the array element at each index until you find one
+that satisfies the condition.
+
+ my( $found, $index ) = ( undef, -1 );
+ for( $i = 0; $i < @array; $i++ ) {
+ if( $array[$i] =~ /Perl/ ) {
+ $found = $array[$i];
+ $index = $i;
+ last;
+ }
+ }
+
+=head2 How do I handle linked lists?
+
+In general, you usually don't need a linked list in Perl, since with
+regular arrays, you can push and pop or shift and unshift at either
+end, or you can use splice to add and/or remove arbitrary number of
+elements at arbitrary points. Both pop and shift are O(1)
+operations on Perl's dynamic arrays. In the absence of shifts and
+pops, push in general needs to reallocate on the order every log(N)
+times, and unshift will need to copy pointers each time.
+
+If you really, really wanted, you could use structures as described in
+L<perldsc> or L<perltoot> and do just what the algorithm book tells
+you to do. For example, imagine a list node like this:
+
+ $node = {
+ VALUE => 42,
+ LINK => undef,
+ };
+
+You could walk the list this way:
+
+ print "List: ";
+ for ($node = $head; $node; $node = $node->{LINK}) {
+ print $node->{VALUE}, " ";
+ }
+ print "\n";
+
+You could add to the list this way:
+
+ my ($head, $tail);
+ $tail = append($head, 1); # grow a new head
+ for $value ( 2 .. 10 ) {
+ $tail = append($tail, $value);
+ }
+
+ sub append {
+ my($list, $value) = @_;
+ my $node = { VALUE => $value };
+ if ($list) {
+ $node->{LINK} = $list->{LINK};
+ $list->{LINK} = $node;
+ }
+ else {
+ $_[0] = $node; # replace caller's version
+ }
+ return $node;
+ }
+
+But again, Perl's built-in are virtually always good enough.
+
+=head2 How do I handle circular lists?
+X<circular> X<array> X<Tie::Cycle> X<Array::Iterator::Circular>
+X<cycle> X<modulus>
+
+(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 C<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 C<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";
+ }
+
+=head2 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 C<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.
+
+=head2 How do I process/modify each element of an array?
+
+Use C<for>/C<foreach>:
+
+ for (@lines) {
+ s/foo/bar/; # change that word
+ tr/XZ/ZX/; # swap those letters
+ }
+
+Here's another; let's compute spherical volumes:
+
+ for (@volumes = @radii) { # @volumes has changed parts
+ $_ **= 3;
+ $_ *= (4/3) * 3.14159; # this will be constant folded
+ }
+
+which can also be done with C<map()> which is made to transform
+one list into another:
+
+ @volumes = map {$_ ** 3 * (4/3) * 3.14159} @radii;
+
+If you want to do the same thing to modify the values of the
+hash, you can use the C<values> function. As of Perl 5.6
+the values are not copied, so if you modify $orbit (in this
+case), you modify the value.
+
+ for $orbit ( values %orbits ) {
+ ($orbit **= 3) *= (4/3) * 3.14159;
+ }
+
+Prior to perl 5.6 C<values> returned copies of the values,
+so older perl code often contains constructions such as
+C<@orbits{keys %orbits}> instead of C<values %orbits> where
+the hash is to be modified.
+
+=head2 How do I select a random element from an array?
+
+Use the C<rand()> function (see L<perlfunc/rand>):
+
+ $index = rand @array;
+ $element = $array[$index];
+
+Or, simply:
+
+ my $element = $array[ rand @array ];
+
+=head2 How do I permute N elements of a list?
+X<List::Permuter> X<permute> X<Algorithm::Loops> X<Knuth>
+X<The Art of Computer Programming> X<Fischer-Krause>
+
+Use the C<List::Permutor> module on CPAN. If the list is actually an
+array, try the C<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
+C<permute()> function is discussed in Volume 4 (still unpublished) of
+Knuth's I<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 C<Algorithm::Loops> module also provides the C<NextPermute> and
+C<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.
+
+C<NextPermute> uses string order and C<NextPermuteNum> numeric order, so
+you can enumerate all the permutations of C<0..9> like this:
+
+ use Algorithm::Loops qw(NextPermuteNum);
+
+ my @list= 0..9;
+ do { print "@list\n" } while NextPermuteNum @list;
+
+=head2 How do I sort an array by (anything)?
+
+Supply a comparison function to sort() (described in L<perlfunc/sort>):
+
+ @list = sort { $a <=> $b } @list;
+
+The default sort function is cmp, string comparison, which would
+sort C<(1, 2, 10)> into C<(1, 10, 2)>. C<< <=> >>, used above, is
+the numerical comparison operator.
+
+If you have a complicated function needed to pull out the part you
+want to sort on, then don't do it inside the sort function. Pull it
+out first, because the sort BLOCK can be called many times for the
+same element. Here's an example of how to pull out the first word
+after the first number on each item, and then sort those words
+case-insensitively.
+
+ @idx = ();
+ for (@data) {
+ ($item) = /\d+\s*(\S+)/;
+ push @idx, uc($item);
+ }
+ @sorted = @data[ sort { $idx[$a] cmp $idx[$b] } 0 .. $#idx ];
+
+which could also be written this way, using a trick
+that's come to be known as the Schwartzian Transform:
+
+ @sorted = map { $_->[0] }
+ sort { $a->[1] cmp $b->[1] }
+ map { [ $_, uc( (/\d+\s*(\S+)/)[0]) ] } @data;
+
+If you need to sort on several fields, the following paradigm is useful.
+
+ @sorted = sort {
+ field1($a) <=> field1($b) ||
+ field2($a) cmp field2($b) ||
+ field3($a) cmp field3($b)
+ } @data;
+
+This can be conveniently combined with precalculation of keys as given
+above.
+
+See the F<sort> article in the "Far More Than You Ever Wanted
+To Know" collection in http://www.cpan.org/misc/olddoc/FMTEYEWTK.tgz for
+more about this approach.
+
+See also the question later in L<perlfaq4> on sorting hashes.
+
+=head2 How do I manipulate arrays of bits?
+
+Use C<pack()> and C<unpack()>, or else C<vec()> and the bitwise
+operations.
+
+For example, you don't have to store individual bits in an array
+(which would mean that you're wasting a lot of space). To convert an
+array of bits to a string, use C<vec()> to set the right bits. This
+sets C<$vec> to have bit N set only if C<$ints[N]> was set:
+
+ @ints = (...); # array of bits, e.g. ( 1, 0, 0, 1, 1, 0 ... )
+ $vec = '';
+ foreach( 0 .. $#ints ) {
+ vec($vec,$_,1) = 1 if $ints[$_];
+ }
+
+The string C<$vec> only takes up as many bits as it needs. For
+instance, if you had 16 entries in C<@ints>, C<$vec> only needs two
+bytes to store them (not counting the scalar variable overhead).
+
+Here's how, given a vector in C<$vec>, you can get those bits into
+your C<@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 C<Bit::Vector>:
+
+ $vector = Bit::Vector->new($num_of_bits);
+ $vector->Index_List_Store(@ints);
+ @ints = $vector->Index_List_Read();
+
+C<Bit::Vector> provides efficient methods for bit vector, sets of
+small integers and "big int" math.
+
+Here's a more extensive illustration using vec():
+
+ # vec demo
+ $vector = "\xff\x0f\xef\xfe";
+ print "Ilya's string \\xff\\x0f\\xef\\xfe represents the number ",
+ unpack("N", $vector), "\n";
+ $is_set = vec($vector, 23, 1);
+ print "Its 23rd bit is ", $is_set ? "set" : "clear", ".\n";
+ pvec($vector);
+
+ set_vec(1,1,1);
+ set_vec(3,1,1);
+ set_vec(23,1,1);
+
+ set_vec(3,1,3);
+ set_vec(3,2,3);
+ set_vec(3,4,3);
+ set_vec(3,4,7);
+ set_vec(3,8,3);
+ set_vec(3,8,7);
+
+ set_vec(0,32,17);
+ set_vec(1,32,17);
+
+ sub set_vec {
+ my ($offset, $width, $value) = @_;
+ my $vector = '';
+ vec($vector, $offset, $width) = $value;
+ print "offset=$offset width=$width value=$value\n";
+ pvec($vector);
+ }
+
+ sub pvec {
+ my $vector = shift;
+ my $bits = unpack("b*", $vector);
+ my $i = 0;
+ my $BASE = 8;
+
+ print "vector length in bytes: ", length($vector), "\n";
+ @bytes = unpack("A8" x length($vector), $bits);
+ print "bits are: @bytes\n\n";
+ }
+
+=head2 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 L<perlfunc/defined>
+in the 5.004 release or later of Perl for more detail.
+
+=head1 Data: Hashes (Associative Arrays)
+
+=head2 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 C<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 C<text:>, you can select just
+those using C<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
+C<each()>, which returns a pair you haven't seen yet:
+
+ while( my( $key, $value ) = each( %hash ) ) {
+ ...
+ }
+
+The C<each> operator returns the pairs in apparently random order, so if
+ordering matters to you, you'll have to stick with the C<keys> method.
+
+The C<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 use C<keys>, C<values>, or C<each> on the same hash, you can reset
+the iterator and mess up your processing. See the C<each> entry in
+L<perlfunc> for more details.
+
+=head2 How do I merge two hashes?
+X<hash> X<merge> X<slice, hash>
+
+(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 (C<%hash1>)
+to a new hash (C<%new_hash>), then add the keys from the other hash
+(C<%hash2> to the new hash. Checking that the key already exists in
+C<%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 C<%new_hash> to C<%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 C<%hash2> replace values from C<%hash1> when they have keys in common:
+
+ @hash1{ keys %hash2 } = values %hash2;
+
+=head2 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 C<each()> in L<perlfunc>.
+
+=head2 How do I look up a hash element by value?
+
+Create a reverse hash:
+
+ %by_value = reverse %by_key;
+ $key = $by_value{$value};
+
+That's not particularly efficient. It would be more space-efficient
+to use:
+
+ while (($key, $value) = each %by_key) {
+ $by_value{$value} = $key;
+ }
+
+If your hash could have repeated values, the methods above will only find
+one of the associated keys. This may or may not worry you. If it does
+worry you, you can always reverse the hash into a hash of arrays instead:
+
+ while (($key, $value) = each %by_key) {
+ push @{$key_list_by_value{$value}}, $key;
+ }
+
+=head2 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
+L<perlfaq4>, but a bit simpler in the common cases.
+
+You can use the C<keys()> built-in function in scalar context to find out
+have 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 C<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 C<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 C<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 C<each()>.
+
+=head2 How do I sort a hash (optionally by value instead of key)?
+
+(contributed by brian d foy)
+
+To sort a hash, start with the keys. In this example, we give the list of
+keys to the sort function which then compares them ASCIIbetically (which
+might be affected by your locale settings). The output list has the keys
+in ASCIIbetical order. Once we have the keys, we can go through them to
+create a report which lists the keys in ASCIIbetical order.
+
+ my @keys = sort { $a cmp $b } keys %hash;
+
+ foreach my $key ( @keys )
+ {
+ printf "%-20s %6d\n", $key, $hash{$key};
+ }
+
+We could get more fancy in the C<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
+the C<\L> sequence in a double-quoted string to make everything
+lowercase. The C<sort()> block then compares the lowercased
+values to determine in which order to put the keys.
+
+ my @keys = sort { "\L$a" cmp "\L$b" } keys %hash;
+
+Note: if the computation is expensive or the hash has many elements,
+you may want to look at the Schwartzian Transform to cache the
+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.
+
+ my @keys = sort {
+ $hash{$a} <=> $hash{$b}
+ or
+ "\L$a" cmp "\L$b"
+ } keys %hash;
+
+=head2 How can I always keep my hash sorted?
+X<hash tie sort DB_File Tie::IxHash>
+
+You can look into using the C<DB_File> module and C<tie()> using the
+C<$DB_BTREE> hash bindings as documented in L<DB_File/"In Memory
+Databases">. The C<Tie::IxHash> module from CPAN might also be
+instructive. Although this does keep your hash sorted, you might not
+like the slow down you suffer from the tie interface. Are you sure you
+need to do this? :)
+
+=head2 What's the difference between "delete" and "undef" with hashes?
+
+Hashes contain pairs of scalars: the first is the key, the
+second is the value. The key will be coerced to a string,
+although the value can be any kind of scalar: string,
+number, or reference. If a key C<$key> is present in
+%hash, C<exists($hash{$key})> will return true. The value
+for a given key can be C<undef>, in which case
+C<$hash{$key}> will be C<undef> while C<exists $hash{$key}>
+will return true. This corresponds to (C<$key>, C<undef>)
+being in the hash.
+
+Pictures help... Here's the C<%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!
+
+=head2 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.
+
+=head2 How do I reset an each() operation part-way through?
+
+(contributed by brian d foy)
+
+You can use the C<keys> or C<values> functions to reset C<each>. To
+simply reset the iterator used by C<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 C<each> in L<perlfunc>.
+
+=head2 How can I get the unique keys from two hashes?
+
+First you extract the keys from the hashes into lists, then solve
+the "removing duplicates" problem described above. For example:
+
+ %seen = ();
+ for $element (keys(%foo), keys(%bar)) {
+ $seen{$element}++;
+ }
+ @uniq = keys %seen;
+
+Or more succinctly:
+
+ @uniq = keys %{{%foo,%bar}};
+
+Or if you really want to save space:
+
+ %seen = ();
+ while (defined ($key = each %foo)) {
+ $seen{$key}++;
+ }
+ while (defined ($key = each %bar)) {
+ $seen{$key}++;
+ }
+ @uniq = keys %seen;
+
+=head2 How can I store a multidimensional array in a DBM file?
+
+Either stringify the structure yourself (no fun), or else
+get the MLDBM (which uses Data::Dumper) module from CPAN and layer
+it on top of either DB_File or GDBM_File.
+
+=head2 How can I make my hash remember the order I put elements into it?
+
+Use the C<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,...)
+
+=head2 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
+I<not> create the key.
+
+ my %hash = ();
+ my $value = $hash{ 'foo' };
+ print "This won't print\n" if exists $hash{ 'foo' };
+
+Passing C<$hash{ 'foo' }> to a subroutine used to be a special case, though.
+Since you could assign directly to C<$_[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/ } );
+
+=head2 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 L<perlref> and the upcoming L<perlreftut>.
+Examples of complex data structures are given in L<perldsc> and
+L<perllol>. Examples of structures and object-oriented classes are
+in L<perltoot>.
+
+=head2 How can I use a reference as a hash key?
+
+(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, C<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.
+
+=head1 Data: Misc
+
+=head2 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 C<binmode> for binary
+files to avoid conversions for line endings. In general, you should
+use C<binmode> any time you want to work with binary data.
+
+Also see L<perlfunc/"binmode"> or L<perlopentut>.
+
+If you're concerned about 8-bit textual data then see L<perllocale>.
+If you want to deal with multibyte characters, however, there are
+some gotchas. See the section on Regular Expressions.
+
+=head2 How do I determine whether a scalar is a number/whole/integer/float?
+
+Assuming that you don't care about IEEE notations like "NaN" or
+"Infinity", you probably just want to use a regular expression.
+
+ if (/\D/) { print "has nondigits\n" }
+ if (/^\d+$/) { print "is a whole number\n" }
+ if (/^-?\d+$/) { print "is an integer\n" }
+ if (/^[+-]?\d+$/) { print "is a +/- integer\n" }
+ if (/^-?\d+\.?\d*$/) { print "is a real number\n" }
+ if (/^-?(?:\d+(?:\.\d*)?|\.\d+)$/) { print "is a decimal number\n" }
+ if (/^([+-]?)(?=\d|\.\d)\d*(\.\d*)?([Ee]([+-]?\d+))?$/)
+ { print "a C float\n" }
+
+There are also some commonly used modules for the task.
+L<Scalar::Util> (distributed with 5.8) provides access to perl's
+internal function C<looks_like_number> for determining whether a
+variable looks like a number. L<Data::Types> exports functions that
+validate data types using both the above and other regular
+expressions. Thirdly, there is C<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 C<POSIX::strtod>
+function. Its semantics are somewhat cumbersome, so here's a
+C<getnum> wrapper function for more convenient access. This function
+takes a string and returns the number it found, or C<undef> for input
+that isn't a C float. The C<is_numeric> function is a front end to
+C<getnum> if you just want to say, "Is this a float?"
+
+ sub getnum {
+ use POSIX qw(strtod);
+ my $str = shift;
+ $str =~ s/^\s+//;
+ $str =~ s/\s+$//;
+ $! = 0;
+ my($num, $unparsed) = strtod($str);
+ if (($str eq '') || ($unparsed != 0) || $!) {
+ return undef;
+ }
+ else {
+ return $num;
+ }
+ }
+
+ sub is_numeric { defined getnum($_[0]) }
+
+Or you could check out the L<String::Scanf> module on the CPAN
+instead. The C<POSIX> module (part of the standard Perl distribution)
+provides the C<strtod> and C<strtol> for converting strings to double
+and longs, respectively.
+
+=head2 How do I keep persistent data across program calls?
+
+For some specific applications, you can use one of the DBM modules.
+See L<AnyDBM_File>. More generically, you should consult the C<FreezeThaw>
+or C<Storable> modules from CPAN. Starting from Perl 5.8 C<Storable> is part
+of the standard distribution. Here's one example using C<Storable>'s C<store>
+and C<retrieve> functions:
+
+ use Storable;
+ store(\%hash, "filename");
+
+ # later on...
+ $href = retrieve("filename"); # by ref
+ %hash = %{ retrieve("filename") }; # direct to hash
+
+=head2 How do I print out or copy a recursive data structure?
+
+The C<Data::Dumper> module on CPAN (or the 5.005 release of Perl) is great
+for printing out data structures. The C<Storable> module on CPAN (or the
+5.8 release of Perl), provides a function called C<dclone> that recursively
+copies its argument.
+
+ use Storable qw(dclone);
+ $r2 = dclone($r1);
+
+Where C<$r1> can be a reference to any kind of data structure you'd like.
+It will be deeply copied. Because C<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) };
+
+=head2 How do I define methods for every class/object?
+
+(contributed by Ben Morrow)
+
+You can use the C<UNIVERSAL> class (see L<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.
+
+=head2 How do I verify a credit card checksum?
+
+Get the C<Business::CreditCard> module from CPAN.
+
+=head2 How do I pack arrays of doubles or floats for XS code?
+
+The arrays.h/arrays.c code in the C<PGPLOT> module on CPAN does just this.
+If you're doing a lot of float or double processing, consider using
+the C<PDL> module from CPAN instead--it makes number-crunching easy.
+
+See L<http://search.cpan.org/dist/PGPLOT> for the code.
+
+=head1 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.