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+=head1 NAME
+
+perlfaq4 - Data Manipulation ($Revision: 1.26 $, $Date: 1998/08/05 12:04:00 $)
+
+=head1 DESCRIPTION
+
+The section of the FAQ answers question related to the manipulation
+of data as numbers, dates, strings, arrays, hashes, and miscellaneous
+data issues.
+
+=head1 Data: Numbers
+
+=head2 Why am I getting long decimals (eg, 19.9499999999999) instead of the numbers I should be getting (eg, 19.95)?
+
+The infinite set that a mathematician thinks of as the real numbers can
+only be approximate on a computer, since the computer only has a finite
+number of bits to store an infinite number of, um, numbers.
+
+Internally, your computer represents floating-point numbers in binary.
+Floating-point numbers read in from a file or appearing as literals
+in your program are converted from their decimal floating-point
+representation (eg, 19.95) to the internal binary representation.
+
+However, 19.95 can't be precisely represented as a binary
+floating-point number, just like 1/3 can't be exactly represented as a
+decimal floating-point number. The computer's binary representation
+of 19.95, therefore, isn't exactly 19.95.
+
+When a floating-point number gets printed, the binary floating-point
+representation is converted back to decimal. These decimal numbers
+are displayed in either the format you specify with printf(), or the
+current output format for numbers (see L<perlvar/"$#"> if you use
+print. C<$#> has a different default value in Perl5 than it did in
+Perl4. Changing C<$#> yourself is deprecated.
+
+This affects B<all> computer languages that represent decimal
+floating-point numbers in binary, not just Perl. Perl provides
+arbitrary-precision decimal numbers with the Math::BigFloat module
+(part of the standard Perl distribution), but mathematical operations
+are consequently slower.
+
+To get rid of the superfluous digits, just use a format (eg,
+C<printf("%.2f", 19.95)>) to get the required precision.
+See L<perlop/"Floating-point Arithmetic">.
+
+=head2 Why isn't my octal data interpreted correctly?
+
+Perl only understands octal and hex numbers as such when they occur
+as literals in your program. If they are read in from somewhere and
+assigned, no automatic conversion takes place. You must explicitly
+use oct() or hex() if you want the values converted. oct() interprets
+both hex ("0x350") numbers and octal ones ("0350" or even without the
+leading "0", like "377"), while hex() only converts hexadecimal ones,
+with or without a leading "0x", like "0x255", "3A", "ff", or "deadbeef".
+
+This problem shows up most often when people try using chmod(), mkdir(),
+umask(), or sysopen(), which all want permissions in octal.
+
+ chmod(644, $file); # WRONG -- perl -w catches this
+ chmod(0644, $file); # right
+
+=head2 Does perl have a round function? What about ceil() and floor()? Trig functions?
+
+Remember that int() merely truncates toward 0. For rounding to a
+certain number of digits, sprintf() or printf() is usually the easiest
+route.
+
+ printf("%.3f", 3.1415926535); # prints 3.142
+
+The POSIX module (part of the standard perl distribution) implements
+ceil(), floor(), and a number of other mathematical and trigonometric
+functions.
+
+ use POSIX;
+ $ceil = ceil(3.5); # 4
+ $floor = floor(3.5); # 3
+
+In 5.000 to 5.003 Perls, trigonometry was done in the Math::Complex
+module. With 5.004, the Math::Trig module (part of the standard perl
+distribution) implements the trigonometric functions. Internally it
+uses the Math::Complex module and some functions can break out from
+the real axis into the complex plane, for example the inverse sine of
+2.
+
+Rounding in financial applications can have serious implications, and
+the rounding method used should be specified precisely. In these
+cases, it probably pays not to trust whichever system rounding is
+being used by Perl, but to instead implement the rounding function you
+need yourself.
+
+=head2 How do I convert bits into ints?
+
+To turn a string of 1s and 0s like C<10110110> into a scalar containing
+its binary value, use the pack() function (documented in
+L<perlfunc/"pack">):
+
+ $decimal = pack('B8', '10110110');
+
+Here's an example of going the other way:
+
+ $binary_string = join('', unpack('B*', "\x29"));
+
+=head2 How do I multiply matrices?
+
+Use the Math::Matrix or Math::MatrixReal modules (available from CPAN)
+or the PDL extension (also available from CPAN).
+
+=head2 How do I perform an operation on a series of integers?
+
+To call a function on each element in an array, and collect the
+results, use:
+
+ @results = map { my_func($_) } @array;
+
+For example:
+
+ @triple = map { 3 * $_ } @single;
+
+To call a function on each element of an array, but ignore the
+results:
+
+ foreach $iterator (@array) {
+ &my_func($iterator);
+ }
+
+To call a function on each integer in a (small) range, you B<can> use:
+
+ @results = map { &my_func($_) } (5 .. 25);
+
+but you should be aware that the C<..> operator creates an array of
+all integers in the range. This can take a lot of memory for large
+ranges. Instead use:
+
+ @results = ();
+ for ($i=5; $i < 500_005; $i++) {
+ push(@results, &my_func($i));
+ }
+
+=head2 How can I output Roman numerals?
+
+Get the http://www.perl.com/CPAN/modules/by-module/Roman module.
+
+=head2 Why aren't my random numbers random?
+
+The short explanation is that you're getting pseudorandom numbers, not
+random ones, because computers are good at being predictable and bad
+at being random (despite appearances caused by bugs in your programs
+:-). A longer explanation is available on
+http://www.perl.com/CPAN/doc/FMTEYEWTK/random, courtesy of Tom
+Phoenix. John von Neumann said, ``Anyone who attempts to generate
+random numbers by deterministic means is, of course, living in a state
+of sin.''
+
+You should also check out the Math::TrulyRandom module from CPAN. It
+uses the imperfections in your system's timer to generate random
+numbers, but this takes quite a while. If you want a better
+pseudorandom generator than comes with your operating system, look at
+``Numerical Recipes in C'' at http://nr.harvard.edu/nr/bookc.html .
+
+=head1 Data: Dates
+
+=head2 How do I find the week-of-the-year/day-of-the-year?
+
+The day of the year is in the array returned by localtime() (see
+L<perlfunc/"localtime">):
+
+ $day_of_year = (localtime(time()))[7];
+
+or more legibly (in 5.004 or higher):
+
+ use Time::localtime;
+ $day_of_year = localtime(time())->yday;
+
+You can find the week of the year by dividing this by 7:
+
+ $week_of_year = int($day_of_year / 7);
+
+Of course, this believes that weeks start at zero. The Date::Calc
+module from CPAN has a lot of date calculation functions, including
+day of the year, week of the year, and so on. Note that not
+all business consider ``week 1'' to be the same; for example,
+American business often consider the first week with a Monday
+in it to be Work Week #1, despite ISO 8601, which consider
+WW1 to be the frist week with a Thursday in it.
+
+=head2 How can I compare two dates and find the difference?
+
+If you're storing your dates as epoch seconds then simply subtract one
+from the other. If you've got a structured date (distinct year, day,
+month, hour, minute, seconds values) then use one of the Date::Manip
+and Date::Calc modules from CPAN.
+
+=head2 How can I take a string and turn it into epoch seconds?
+
+If it's a regular enough string that it always has the same format,
+you can split it up and pass the parts to C<timelocal> in the standard
+Time::Local module. Otherwise, you should look into the Date::Calc
+and Date::Manip modules from CPAN.
+
+=head2 How can I find the Julian Day?
+
+Neither Date::Manip nor Date::Calc deal with Julian days. Instead,
+there is an example of Julian date calculation that should help you in
+http://www.perl.com/CPAN/authors/David_Muir_Sharnoff/modules/Time/JulianDay.pm.gz
+.
+
+=head2 Does Perl have a year 2000 problem? Is Perl Y2K compliant?
+
+Short answer: No, Perl does not have a Year 2000 problem. Yes,
+Perl is Y2K compliant. The programmers you're hired to use it,
+however, probably are not.
+
+Long answer: Perl is just as Y2K compliant as your pencil--no more,
+and no less. The date and time functions supplied with perl (gmtime
+and localtime) supply adequate information to determine the year well
+beyond 2000 (2038 is when trouble strikes for 32-bit machines). The
+year returned by these functions when used in an array context is the
+year minus 1900. For years between 1910 and 1999 this I<happens> to
+be a 2-digit decimal number. To avoid the year 2000 problem simply do
+not treat the year as a 2-digit number. It isn't.
+
+When gmtime() and localtime() are used in scalar context they return
+a timestamp string that contains a fully-expanded year. For example,
+C<$timestamp = gmtime(1005613200)> sets $timestamp to "Tue Nov 13 01:00:00
+2001". There's no year 2000 problem here.
+
+That doesn't mean that Perl can't be used to create non-Y2K compliant
+programs. It can. But so can your pencil. It's the fault of the user,
+not the language. At the risk of inflaming the NRA: ``Perl doesn't
+break Y2K, people do.'' See http://language.perl.com/news/y2k.html for
+a longer exposition.
+
+=head1 Data: Strings
+
+=head2 How do I validate input?
+
+The answer to this question is usually a regular expression, perhaps
+with auxiliary logic. See the more specific questions (numbers, mail
+addresses, etc.) for details.
+
+=head2 How do I unescape a string?
+
+It depends just what you mean by ``escape''. URL escapes are dealt
+with in L<perlfaq9>. Shell escapes with the backslash (C<\>)
+character are removed with:
+
+ s/\\(.)/$1/g;
+
+This won't expand C<"\n"> or C<"\t"> or any other special escapes.
+
+=head2 How do I remove consecutive pairs of characters?
+
+To turn C<"abbcccd"> into C<"abccd">:
+
+ s/(.)\1/$1/g;
+
+=head2 How do I expand function calls in a string?
+
+This is documented in L<perlref>. In general, this is fraught with
+quoting and readability problems, but it is possible. To interpolate
+a subroutine call (in list context) into a string:
+
+ print "My sub returned @{[mysub(1,2,3)]} that time.\n";
+
+If you prefer scalar context, similar chicanery is also useful for
+arbitrary expressions:
+
+ print "That yields ${\($n + 5)} widgets\n";
+
+Version 5.004 of Perl had a bug that gave list context to the
+expression in C<${...}>, but this is fixed in version 5.005.
+
+See also ``How can I expand variables in text strings?'' in this
+section of the FAQ.
+
+=head2 How do I find matching/nesting anything?
+
+This isn't something that can be done in one regular expression, no
+matter how complicated. To find something between two single
+characters, a pattern like C</x([^x]*)x/> will get the intervening
+bits in $1. For multiple ones, then something more like
+C</alpha(.*?)omega/> would be needed. But none of these deals with
+nested patterns, nor can they. For that you'll have to write a
+parser.
+
+If you are serious about writing a parser, there are a number of
+modules or oddities that will make your life a lot easier. There is
+the CPAN module Parse::RecDescent, the standard module Text::Balanced,
+the byacc program, and Mark-Jason Dominus's excellent I<py> tool at
+http://www.plover.com/~mjd/perl/py/ .
+
+One simple destructive, inside-out approach that you might try is to
+pull out the smallest nesting parts one at a time:
+
+ while (s//BEGIN((?:(?!BEGIN)(?!END).)*)END/gs) {
+ # do something with $1
+ }
+
+=head2 How do I reverse a string?
+
+Use reverse() in scalar context, as documented in
+L<perlfunc/reverse>.
+
+ $reversed = reverse $string;
+
+=head2 How do I expand tabs in a string?
+
+You can do it yourself:
+
+ 1 while $string =~ s/\t+/' ' x (length($&) * 8 - length($`) % 8)/e;
+
+Or you can just use the Text::Tabs module (part of the standard perl
+distribution).
+
+ use Text::Tabs;
+ @expanded_lines = expand(@lines_with_tabs);
+
+=head2 How do I reformat a paragraph?
+
+Use Text::Wrap (part of the standard perl distribution):
+
+ use Text::Wrap;
+ print wrap("\t", ' ', @paragraphs);
+
+The paragraphs you give to Text::Wrap should not contain embedded
+newlines. Text::Wrap doesn't justify the lines (flush-right).
+
+=head2 How can I access/change the first N letters of a string?
+
+There are many ways. If you just want to grab a copy, use
+substr():
+
+ $first_byte = substr($a, 0, 1);
+
+If you want to modify part of a string, the simplest way is often to
+use substr() as an lvalue:
+
+ substr($a, 0, 3) = "Tom";
+
+Although those with a pattern matching kind of thought process will
+likely prefer:
+
+ $a =~ s/^.../Tom/;
+
+=head2 How do I change the Nth occurrence of something?
+
+You have to keep track of N yourself. For example, let's say you want
+to change the fifth occurrence of C<"whoever"> or C<"whomever"> into
+C<"whosoever"> or C<"whomsoever">, case insensitively.
+
+ $count = 0;
+ s{((whom?)ever)}{
+ ++$count == 5 # is it the 5th?
+ ? "${2}soever" # yes, swap
+ : $1 # renege and leave it there
+ }igex;
+
+In the more general case, you can use the C</g> modifier in a C<while>
+loop, keeping count of matches.
+
+ $WANT = 3;
+ $count = 0;
+ while (/(\w+)\s+fish\b/gi) {
+ if (++$count == $WANT) {
+ print "The third fish is a $1 one.\n";
+ # Warning: don't `last' out of this loop
+ }
+ }
+
+That prints out: C<"The third fish is a red one."> You can also use a
+repetition count and repeated pattern like this:
+
+ /(?:\w+\s+fish\s+){2}(\w+)\s+fish/i;
+
+=head2 How can I count the number of occurrences of a substring within a string?
+
+There are a number of ways, with varying efficiency: If you want a
+count of a certain single character (X) within a string, you can use the
+C<tr///> function like so:
+
+ $string = "ThisXlineXhasXsomeXx'sXinXit":
+ $count = ($string =~ tr/X//);
+ print "There are $count X charcters in the string";
+
+This is fine if you are just looking for a single character. However,
+if you are trying to count multiple character substrings within a
+larger string, C<tr///> won't work. What you can do is wrap a while()
+loop around a global pattern match. For example, let's count negative
+integers:
+
+ $string = "-9 55 48 -2 23 -76 4 14 -44";
+ while ($string =~ /-\d+/g) { $count++ }
+ print "There are $count negative numbers in the string";
+
+=head2 How do I capitalize all the words on one line?
+
+To make the first letter of each word upper case:
+
+ $line =~ s/\b(\w)/\U$1/g;
+
+This has the strange effect of turning "C<don't do it>" into "C<Don'T
+Do It>". Sometimes you might want this, instead (Suggested by Brian
+Foy):
+
+ $string =~ s/ (
+ (^\w) #at the beginning of the line
+ | # or
+ (\s\w) #preceded by whitespace
+ )
+ /\U$1/xg;
+ $string =~ /([\w']+)/\u\L$1/g;
+
+To make the whole line upper case:
+
+ $line = uc($line);
+
+To force each word to be lower case, with the first letter upper case:
+
+ $line =~ s/(\w+)/\u\L$1/g;
+
+You can (and probably should) enable locale awareness of those
+characters by placing a C<use locale> pragma in your program.
+See L<perllocale> for endless details on locales.
+
+=head2 How can I split a [character] delimited string except when inside
+[character]? (Comma-separated files)
+
+Take the example case of trying to split a string that is comma-separated
+into its different fields. (We'll pretend you said comma-separated, not
+comma-delimited, which is different and almost never what you mean.) You
+can't use C<split(/,/)> because you shouldn't split if the comma is inside
+quotes. For example, take a data line like this:
+
+ SAR001,"","Cimetrix, Inc","Bob Smith","CAM",N,8,1,0,7,"Error, Core Dumped"
+
+Due to the restriction of the quotes, this is a fairly complex
+problem. Thankfully, we have Jeffrey Friedl, author of a highly
+recommended book on regular expressions, to handle these for us. He
+suggests (assuming your string is contained in $text):
+
+ @new = ();
+ push(@new, $+) while $text =~ m{
+ "([^\"\\]*(?:\\.[^\"\\]*)*)",? # groups the phrase inside the quotes
+ | ([^,]+),?
+ | ,
+ }gx;
+ push(@new, undef) if substr($text,-1,1) eq ',';
+
+If you want to represent quotation marks inside a
+quotation-mark-delimited field, escape them with backslashes (eg,
+C<"like \"this\"">. Unescaping them is a task addressed earlier in
+this section.
+
+Alternatively, the Text::ParseWords module (part of the standard perl
+distribution) lets you say:
+
+ use Text::ParseWords;
+ @new = quotewords(",", 0, $text);
+
+=head2 How do I strip blank space from the beginning/end of a string?
+
+Although the simplest approach would seem to be:
+
+ $string =~ s/^\s*(.*?)\s*$/$1/;
+
+This is unneccesarily slow, destructive, and fails with embedded newlines.
+It is much better faster to do this in two steps:
+
+ $string =~ s/^\s+//;
+ $string =~ s/\s+$//;
+
+Or more nicely written as:
+
+ for ($string) {
+ s/^\s+//;
+ s/\s+$//;
+ }
+
+This idiom takes advantage of the C<foreach> loop's aliasing
+behavior to factor out common code. You can do this
+on several strings at once, or arrays, or even the
+values of a hash if you use a slide:
+
+ # trim whitespace in the scalar, the array,
+ # and all the values in the hash
+ foreach ($scalar, @array, @hash{keys %hash}) {
+ s/^\s+//;
+ s/\s+$//;
+ }
+
+=head2 How do I extract selected columns from a string?
+
+Use substr() or unpack(), both documented in L<perlfunc>.
+If you prefer thinking in terms of columns instead of widths,
+you can use this kind of thing:
+
+ # determine the unpack format needed to split Linux ps output
+ # arguments are cut columns
+ my $fmt = cut2fmt(8, 14, 20, 26, 30, 34, 41, 47, 59, 63, 67, 72);
+
+ sub cut2fmt {
+ my(@positions) = @_;
+ my $template = '';
+ my $lastpos = 1;
+ for my $place (@positions) {
+ $template .= "A" . ($place - $lastpos) . " ";
+ $lastpos = $place;
+ }
+ $template .= "A*";
+ return $template;
+ }
+
+=head2 How do I find the soundex value of a string?
+
+Use the standard Text::Soundex module distributed with perl.
+
+=head2 How can I expand variables in text strings?
+
+Let's assume that you have a string like:
+
+ $text = 'this has a $foo in it and a $bar';
+
+If those were both global variables, then this would
+suffice:
+
+ $text =~ s/\$(\w+)/${$1}/g;
+
+But since they are probably lexicals, or at least, they could
+be, you'd have to do this:
+
+ $text =~ s/(\$\w+)/$1/eeg;
+ die if $@; # needed on /ee, not /e
+
+It's probably better in the general case to treat those
+variables as entries in some special hash. For example:
+
+ %user_defs = (
+ foo => 23,
+ bar => 19,
+ );
+ $text =~ s/\$(\w+)/$user_defs{$1}/g;
+
+See also ``How do I expand function calls in a string?'' in this section
+of the FAQ.
+
+=head2 What's wrong with always quoting "$vars"?
+
+The problem is that those double-quotes force stringification,
+coercing numbers and references into strings, even when you
+don't want them to be.
+
+If you get used to writing odd things like these:
+
+ print "$var"; # BAD
+ $new = "$old"; # BAD
+ somefunc("$var"); # BAD
+
+You'll be in trouble. Those should (in 99.8% of the cases) be
+the simpler and more direct:
+
+ print $var;
+ $new = $old;
+ somefunc($var);
+
+Otherwise, besides slowing you down, you're going to break code when
+the thing in the scalar is actually neither a string nor a number, but
+a reference:
+
+ func(\@array);
+ sub func {
+ my $aref = shift;
+ my $oref = "$aref"; # WRONG
+ }
+
+You can also get into subtle problems on those few operations in Perl
+that actually do care about the difference between a string and a
+number, such as the magical C<++> autoincrement operator or the
+syscall() function.
+
+Stringification also destroys arrays.
+
+ @lines = `command`;
+ print "@lines"; # WRONG - extra blanks
+ print @lines; # right
+
+=head2 Why don't my <<HERE documents work?
+
+Check for these three things:
+
+=over 4
+
+=item 1. There must be no space after the << part.
+
+=item 2. There (probably) should be a semicolon at the end.
+
+=item 3. You can't (easily) have any space in front of the tag.
+
+=back
+
+If you want to indent the text in the here document, you
+can do this:
+
+ # all in one
+ ($VAR = <<HERE_TARGET) =~ s/^\s+//gm;
+ your text
+ goes here
+ HERE_TARGET
+
+But the HERE_TARGET must still be flush against the margin.
+If you want that indented also, you'll have to quote
+in the indentation.
+
+ ($quote = <<' FINIS') =~ s/^\s+//gm;
+ ...we will have peace, when you and all your works have
+ perished--and the works of your dark master to whom you
+ would deliver us. You are a liar, Saruman, and a corrupter
+ of men's hearts. --Theoden in /usr/src/perl/taint.c
+ FINIS
+ $quote =~ s/\s*--/\n--/;
+
+A nice general-purpose fixer-upper function for indented here documents
+follows. It expects to be called with a here document as its argument.
+It looks to see whether each line begins with a common substring, and
+if so, strips that off. Otherwise, it takes the amount of leading
+white space found on the first line and removes that much off each
+subsequent line.
+
+ sub fix {
+ local $_ = shift;
+ my ($white, $leader); # common white space and common leading string
+ if (/^\s*(?:([^\w\s]+)(\s*).*\n)(?:\s*\1\2?.*\n)+$/) {
+ ($white, $leader) = ($2, quotemeta($1));
+ } else {
+ ($white, $leader) = (/^(\s+)/, '');
+ }
+ s/^\s*?$leader(?:$white)?//gm;
+ return $_;
+ }
+
+This works with leading special strings, dynamically determined:
+
+ $remember_the_main = fix<<' MAIN_INTERPRETER_LOOP';
+ @@@ int
+ @@@ runops() {
+ @@@ SAVEI32(runlevel);
+ @@@ runlevel++;
+ @@@ while ( op = (*op->op_ppaddr)() ) ;
+ @@@ TAINT_NOT;
+ @@@ return 0;
+ @@@ }
+ MAIN_INTERPRETER_LOOP
+
+Or with a fixed amount of leading white space, with remaining
+indentation correctly preserved:
+
+ $poem = fix<<EVER_ON_AND_ON;
+ Now far ahead the Road has gone,
+ And I must follow, if I can,
+ Pursuing it with eager feet,
+ Until it joins some larger way
+ Where many paths and errands meet.
+ And whither then? I cannot say.
+ --Bilbo in /usr/src/perl/pp_ctl.c
+ EVER_ON_AND_ON
+
+=head1 Data: Arrays
+
+=head2 What is the difference between $array[1] and @array[1]?
+
+The former is a scalar value, the latter an array slice, which makes
+it a list with one (scalar) value. You should use $ when you want a
+scalar value (most of the time) and @ when you want a list with one
+scalar value in it (very, very rarely; nearly never, in fact).
+
+Sometimes it doesn't make a difference, but sometimes it does.
+For example, compare:
+
+ $good[0] = `some program that outputs several lines`;
+
+with
+
+ @bad[0] = `same program that outputs several lines`;
+
+The B<-w> flag will warn you about these matters.
+
+=head2 How can I extract just the unique elements of an array?
+
+There are several possible ways, depending on whether the array is
+ordered and whether you wish to preserve the ordering.
+
+=over 4
+
+=item a) If @in is sorted, and you want @out to be sorted:
+(this assumes all true values in the array)
+
+ $prev = 'nonesuch';
+ @out = grep($_ ne $prev && ($prev = $_), @in);
+
+This is nice in that it doesn't use much extra memory, simulating
+uniq(1)'s behavior of removing only adjacent duplicates. It's less
+nice in that it won't work with false values like undef, 0, or "";
+"0 but true" is ok, though.
+
+=item b) If you don't know whether @in is sorted:
+
+ undef %saw;
+ @out = grep(!$saw{$_}++, @in);
+
+=item c) Like (b), but @in contains only small integers:
+
+ @out = grep(!$saw[$_]++, @in);
+
+=item d) A way to do (b) without any loops or greps:
+
+ undef %saw;
+ @saw{@in} = ();
+ @out = sort keys %saw; # remove sort if undesired
+
+=item e) Like (d), but @in contains only small positive integers:
+
+ undef @ary;
+ @ary[@in] = @in;
+ @out = @ary;
+
+=back
+
+=head2 How can I tell whether a list or array contains a certain element?
+
+Hearing the word "in" is an I<in>dication that you probably should have
+used a hash, not a list or array, to store your data. Hashes are
+designed to answer this question quickly and efficiently. Arrays aren't.
+
+That being said, there are several ways to approach this. If you
+are going to make this query many times over arbitrary string values,
+the fastest way is probably to invert the original array and keep an
+associative array lying about whose keys are the first array's values.
+
+ @blues = qw/azure cerulean teal turquoise lapis-lazuli/;
+ undef %is_blue;
+ for (@blues) { $is_blue{$_} = 1 }
+
+Now you can check whether $is_blue{$some_color}. It might have been a
+good idea to keep the blues all in a hash in the first place.
+
+If the values are all small integers, you could use a simple indexed
+array. This kind of an array will take up less space:
+
+ @primes = (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31);
+ undef @is_tiny_prime;
+ for (@primes) { $is_tiny_prime[$_] = 1; }
+
+Now you check whether $is_tiny_prime[$some_number].
+
+If the values in question are integers instead of strings, you can save
+quite a lot of space by using bit strings instead:
+
+ @articles = ( 1..10, 150..2000, 2017 );
+ undef $read;
+ for (@articles) { vec($read,$_,1) = 1 }
+
+Now check whether C<vec($read,$n,1)> is true for some C<$n>.
+
+Please do not use
+
+ $is_there = grep $_ eq $whatever, @array;
+
+or worse yet
+
+ $is_there = grep /$whatever/, @array;
+
+These are slow (checks every element even if the first matches),
+inefficient (same reason), and potentially buggy (what if there are
+regexp characters in $whatever?).
+
+=head2 How do I compute the difference of two arrays? How do I compute the intersection of two arrays?
+
+Use a hash. Here's code to do both and more. It assumes that
+each element is unique in a given array:
+
+ @union = @intersection = @difference = ();
+ %count = ();
+ foreach $element (@array1, @array2) { $count{$element}++ }
+ foreach $element (keys %count) {
+ push @union, $element;
+ push @{ $count{$element} > 1 ? \@intersection : \@difference }, $element;
+ }
+
+=head2 How do I find the first array element for which a condition is true?
+
+You can use this if you care about the index:
+
+ for ($i=0; $i < @array; $i++) {
+ if ($array[$i] eq "Waldo") {
+ $found_index = $i;
+ last;
+ }
+ }
+
+Now C<$found_index> has what you want.
+
+=head2 How do I handle linked lists?
+
+In general, you usually don't need a linked list in Perl, since with
+regular arrays, you can push and pop or shift and unshift at either end,
+or you can use splice to add and/or remove arbitrary number of elements at
+arbitrary points. Both pop and shift are both O(1) operations on perl's
+dynamic arrays. In the absence of shifts and pops, push in general
+needs to reallocate on the order every log(N) times, and unshift will
+need to copy pointers each time.
+
+If you really, really wanted, you could use structures as described in
+L<perldsc> or L<perltoot> and do just what the algorithm book tells you
+to do.
+
+=head2 How do I handle circular lists?
+
+Circular lists could be handled in the traditional fashion with linked
+lists, or you could just do something like this with an array:
+
+ unshift(@array, pop(@array)); # the last shall be first
+ push(@array, shift(@array)); # and vice versa
+
+=head2 How do I shuffle an array randomly?
+
+Use this:
+
+ # fisher_yates_shuffle( \@array ) :
+ # generate a random permutation of @array in place
+ sub fisher_yates_shuffle {
+ my $array = shift;
+ my $i;
+ for ($i = @$array; --$i; ) {
+ my $j = int rand ($i+1);
+ next if $i == $j;
+ @$array[$i,$j] = @$array[$j,$i];
+ }
+ }
+
+ fisher_yates_shuffle( \@array ); # permutes @array in place
+
+You've probably seen shuffling algorithms that works using splice,
+randomly picking another element to swap the current element with:
+
+ srand;
+ @new = ();
+ @old = 1 .. 10; # just a demo
+ while (@old) {
+ push(@new, splice(@old, rand @old, 1));
+ }
+
+This is bad because splice is already O(N), and since you do it N times,
+you just invented a quadratic algorithm; that is, O(N**2). This does
+not scale, although Perl is so efficient that you probably won't notice
+this until you have rather largish arrays.
+
+=head2 How do I process/modify each element of an array?
+
+Use C<for>/C<foreach>:
+
+ for (@lines) {
+ s/foo/bar/; # change that word
+ y/XZ/ZX/; # swap those letters
+ }
+
+Here's another; let's compute spherical volumes:
+
+ for (@volumes = @radii) { # @volumes has changed parts
+ $_ **= 3;
+ $_ *= (4/3) * 3.14159; # this will be constant folded
+ }
+
+If you want to do the same thing to modify the values of the hash,
+you may not use the C<values> function, oddly enough. You need a slice:
+
+ for $orbit ( @orbits{keys %orbits} ) {
+ ($orbit **= 3) *= (4/3) * 3.14159;
+ }
+
+=head2 How do I select a random element from an array?
+
+Use the rand() function (see L<perlfunc/rand>):
+
+ # at the top of the program:
+ srand; # not needed for 5.004 and later
+
+ # then later on
+ $index = rand @array;
+ $element = $array[$index];
+
+Make sure you I<only call srand once per program, if then>.
+If you are calling it more than once (such as before each
+call to rand), you're almost certainly doing something wrong.
+
+=head2 How do I permute N elements of a list?
+
+Here's a little program that generates all permutations
+of all the words on each line of input. The algorithm embodied
+in the permute() function should work on any list:
+
+ #!/usr/bin/perl -n
+ # tsc-permute: permute each word of input
+ permute([split], []);
+ sub permute {
+ my @items = @{ $_[0] };
+ my @perms = @{ $_[1] };
+ unless (@items) {
+ print "@perms\n";
+ } else {
+ my(@newitems,@newperms,$i);
+ foreach $i (0 .. $#items) {
+ @newitems = @items;
+ @newperms = @perms;
+ unshift(@newperms, splice(@newitems, $i, 1));
+ permute([@newitems], [@newperms]);
+ }
+ }
+ }
+
+=head2 How do I sort an array by (anything)?
+
+Supply a comparison function to sort() (described in L<perlfunc/sort>):
+
+ @list = sort { $a <=> $b } @list;
+
+The default sort function is cmp, string comparison, which would
+sort C<(1, 2, 10)> into C<(1, 10, 2)>. C<E<lt>=E<gt>>, used above, is
+the numerical comparison operator.
+
+If you have a complicated function needed to pull out the part you
+want to sort on, then don't do it inside the sort function. Pull it
+out first, because the sort BLOCK can be called many times for the
+same element. Here's an example of how to pull out the first word
+after the first number on each item, and then sort those words
+case-insensitively.
+
+ @idx = ();
+ for (@data) {
+ ($item) = /\d+\s*(\S+)/;
+ push @idx, uc($item);
+ }
+ @sorted = @data[ sort { $idx[$a] cmp $idx[$b] } 0 .. $#idx ];
+
+Which could also be written this way, using a trick
+that's come to be known as the Schwartzian Transform:
+
+ @sorted = map { $_->[0] }
+ sort { $a->[1] cmp $b->[1] }
+ map { [ $_, uc((/\d+\s*(\S+)/ )[0] ] } @data;
+
+If you need to sort on several fields, the following paradigm is useful.
+
+ @sorted = sort { field1($a) <=> field1($b) ||
+ field2($a) cmp field2($b) ||
+ field3($a) cmp field3($b)
+ } @data;
+
+This can be conveniently combined with precalculation of keys as given
+above.
+
+See http://www.perl.com/CPAN/doc/FMTEYEWTK/sort.html for more about
+this approach.
+
+See also the question below on sorting hashes.
+
+=head2 How do I manipulate arrays of bits?
+
+Use pack() and unpack(), or else vec() and the bitwise operations.
+
+For example, this sets $vec to have bit N set if $ints[N] was set:
+
+ $vec = '';
+ foreach(@ints) { vec($vec,$_,1) = 1 }
+
+And here's how, given a vector in $vec, you can
+get those bits into your @ints array:
+
+ sub bitvec_to_list {
+ my $vec = shift;
+ my @ints;
+ # Find null-byte density then select best algorithm
+ if ($vec =~ tr/\0// / length $vec > 0.95) {
+ use integer;
+ my $i;
+ # This method is faster with mostly null-bytes
+ while($vec =~ /[^\0]/g ) {
+ $i = -9 + 8 * pos $vec;
+ push @ints, $i if vec($vec, ++$i, 1);
+ push @ints, $i if vec($vec, ++$i, 1);
+ push @ints, $i if vec($vec, ++$i, 1);
+ push @ints, $i if vec($vec, ++$i, 1);
+ push @ints, $i if vec($vec, ++$i, 1);
+ push @ints, $i if vec($vec, ++$i, 1);
+ push @ints, $i if vec($vec, ++$i, 1);
+ push @ints, $i if vec($vec, ++$i, 1);
+ }
+ } else {
+ # This method is a fast general algorithm
+ use integer;
+ my $bits = unpack "b*", $vec;
+ push @ints, 0 if $bits =~ s/^(\d)// && $1;
+ push @ints, pos $bits while($bits =~ /1/g);
+ }
+ return \@ints;
+ }
+
+This method gets faster the more sparse the bit vector is.
+(Courtesy of Tim Bunce and Winfried Koenig.)
+
+=head2 Why does defined() return true on empty arrays and hashes?
+
+See L<perlfunc/defined> in the 5.004 release or later of Perl.
+
+=head1 Data: Hashes (Associative Arrays)
+
+=head2 How do I process an entire hash?
+
+Use the each() function (see L<perlfunc/each>) if you don't care
+whether it's sorted:
+
+ while ( ($key, $value) = each %hash) {
+ print "$key = $value\n";
+ }
+
+If you want it sorted, you'll have to use foreach() on the result of
+sorting the keys as shown in an earlier question.
+
+=head2 What happens if I add or remove keys from a hash while iterating over it?
+
+Don't do that.
+
+=head2 How do I look up a hash element by value?
+
+Create a reverse hash:
+
+ %by_value = reverse %by_key;
+ $key = $by_value{$value};
+
+That's not particularly efficient. It would be more space-efficient
+to use:
+
+ while (($key, $value) = each %by_key) {
+ $by_value{$value} = $key;
+ }
+
+If your hash could have repeated values, the methods above will only
+find one of the associated keys. This may or may not worry you.
+
+=head2 How can I know how many entries are in a hash?
+
+If you mean how many keys, then all you have to do is
+take the scalar sense of the keys() function:
+
+ $num_keys = scalar keys %hash;
+
+In void context it just resets the iterator, which is faster
+for tied hashes.
+
+=head2 How do I sort a hash (optionally by value instead of key)?
+
+Internally, hashes are stored in a way that prevents you from imposing
+an order on key-value pairs. Instead, you have to sort a list of the
+keys or values:
+
+ @keys = sort keys %hash; # sorted by key
+ @keys = sort {
+ $hash{$a} cmp $hash{$b}
+ } keys %hash; # and by value
+
+Here we'll do a reverse numeric sort by value, and if two keys are
+identical, sort by length of key, and if that fails, by straight ASCII
+comparison of the keys (well, possibly modified by your locale -- see
+L<perllocale>).
+
+ @keys = sort {
+ $hash{$b} <=> $hash{$a}
+ ||
+ length($b) <=> length($a)
+ ||
+ $a cmp $b
+ } keys %hash;
+
+=head2 How can I always keep my hash sorted?
+
+You can look into using the DB_File module and tie() using the
+$DB_BTREE hash bindings as documented in L<DB_File/"In Memory Databases">.
+The Tie::IxHash module from CPAN might also be instructive.
+
+=head2 What's the difference between "delete" and "undef" with hashes?
+
+Hashes are pairs of scalars: the first is the key, the second is the
+value. The key will be coerced to a string, although the value can be
+any kind of scalar: string, number, or reference. If a key C<$key> is
+present in the array, C<exists($key)> will return true. The value for
+a given key can be C<undef>, in which case C<$array{$key}> will be
+C<undef> while C<$exists{$key}> will return true. This corresponds to
+(C<$key>, C<undef>) being in the hash.
+
+Pictures help... here's the C<%ary> table:
+
+ keys values
+ +------+------+
+ | a | 3 |
+ | x | 7 |
+ | d | 0 |
+ | e | 2 |
+ +------+------+
+
+And these conditions hold
+
+ $ary{'a'} is true
+ $ary{'d'} is false
+ defined $ary{'d'} is true
+ defined $ary{'a'} is true
+ exists $ary{'a'} is true (perl5 only)
+ grep ($_ eq 'a', keys %ary) is true
+
+If you now say
+
+ undef $ary{'a'}
+
+your table now reads:
+
+
+ keys values
+ +------+------+
+ | a | undef|
+ | x | 7 |
+ | d | 0 |
+ | e | 2 |
+ +------+------+
+
+and these conditions now hold; changes in caps:
+
+ $ary{'a'} is FALSE
+ $ary{'d'} is false
+ defined $ary{'d'} is true
+ defined $ary{'a'} is FALSE
+ exists $ary{'a'} is true (perl5 only)
+ grep ($_ eq 'a', keys %ary) is true
+
+Notice the last two: you have an undef value, but a defined key!
+
+Now, consider this:
+
+ delete $ary{'a'}
+
+your table now reads:
+
+ keys values
+ +------+------+
+ | x | 7 |
+ | d | 0 |
+ | e | 2 |
+ +------+------+
+
+and these conditions now hold; changes in caps:
+
+ $ary{'a'} is false
+ $ary{'d'} is false
+ defined $ary{'d'} is true
+ defined $ary{'a'} is false
+ exists $ary{'a'} is FALSE (perl5 only)
+ grep ($_ eq 'a', keys %ary) is FALSE
+
+See, the whole entry is gone!
+
+=head2 Why don't my tied hashes make the defined/exists distinction?
+
+They may or may not implement the EXISTS() and DEFINED() methods
+differently. For example, there isn't the concept of undef with hashes
+that are tied to DBM* files. This means the true/false tables above
+will give different results when used on such a hash. It also means
+that exists and defined do the same thing with a DBM* file, and what
+they end up doing is not what they do with ordinary hashes.
+
+=head2 How do I reset an each() operation part-way through?
+
+Using C<keys %hash> in scalar context returns the number of keys in
+the hash I<and> resets the iterator associated with the hash. You may
+need to do this if you use C<last> to exit a loop early so that when you
+re-enter it, the hash iterator has been reset.
+
+=head2 How can I get the unique keys from two hashes?
+
+First you extract the keys from the hashes into arrays, and then solve
+the uniquifying the array problem described above. For example:
+
+ %seen = ();
+ for $element (keys(%foo), keys(%bar)) {
+ $seen{$element}++;
+ }
+ @uniq = keys %seen;
+
+Or more succinctly:
+
+ @uniq = keys %{{%foo,%bar}};
+
+Or if you really want to save space:
+
+ %seen = ();
+ while (defined ($key = each %foo)) {
+ $seen{$key}++;
+ }
+ while (defined ($key = each %bar)) {
+ $seen{$key}++;
+ }
+ @uniq = keys %seen;
+
+=head2 How can I store a multidimensional array in a DBM file?
+
+Either stringify the structure yourself (no fun), or else
+get the MLDBM (which uses Data::Dumper) module from CPAN and layer
+it on top of either DB_File or GDBM_File.
+
+=head2 How can I make my hash remember the order I put elements into it?
+
+Use the Tie::IxHash from CPAN.
+
+ use Tie::IxHash;
+ tie(%myhash, Tie::IxHash);
+ for ($i=0; $i<20; $i++) {
+ $myhash{$i} = 2*$i;
+ }
+ @keys = keys %myhash;
+ # @keys = (0,1,2,3,...)
+
+=head2 Why does passing a subroutine an undefined element in a hash create it?
+
+If you say something like:
+
+ somefunc($hash{"nonesuch key here"});
+
+Then that element "autovivifies"; that is, it springs into existence
+whether you store something there or not. That's because functions
+get scalars passed in by reference. If somefunc() modifies C<$_[0]>,
+it has to be ready to write it back into the caller's version.
+
+This has been fixed as of perl5.004.
+
+Normally, merely accessing a key's value for a nonexistent key does
+I<not> cause that key to be forever there. This is different than
+awk's behavior.
+
+=head2 How can I make the Perl equivalent of a C structure/C++ class/hash or array of hashes or arrays?
+
+Use references (documented in L<perlref>). Examples of complex data
+structures are given in L<perldsc> and L<perllol>. Examples of
+structures and object-oriented classes are in L<perltoot>.
+
+=head2 How can I use a reference as a hash key?
+
+You can't do this directly, but you could use the standard Tie::Refhash
+module distributed with perl.
+
+=head1 Data: Misc
+
+=head2 How do I handle binary data correctly?
+
+Perl is binary clean, so this shouldn't be a problem. For example,
+this works fine (assuming the files are found):
+
+ if (`cat /vmunix` =~ /gzip/) {
+ print "Your kernel is GNU-zip enabled!\n";
+ }
+
+On some systems, however, you have to play tedious games with "text"
+versus "binary" files. See L<perlfunc/"binmode">.
+
+If you're concerned about 8-bit ASCII data, then see L<perllocale>.
+
+If you want to deal with multibyte characters, however, there are
+some gotchas. See the section on Regular Expressions.
+
+=head2 How do I determine whether a scalar is a number/whole/integer/float?
+
+Assuming that you don't care about IEEE notations like "NaN" or
+"Infinity", you probably just want to use a regular expression.
+
+ warn "has nondigits" if /\D/;
+ warn "not a natural number" unless /^\d+$/; # rejects -3
+ warn "not an integer" unless /^-?\d+$/; # rejects +3
+ warn "not an integer" unless /^[+-]?\d+$/;
+ warn "not a decimal number" unless /^-?\d+\.?\d*$/; # rejects .2
+ warn "not a decimal number" unless /^-?(?:\d+(?:\.\d*)?|\.\d+)$/;
+ warn "not a C float"
+ unless /^([+-]?)(?=\d|\.\d)\d*(\.\d*)?([Ee]([+-]?\d+))?$/;
+
+If you're on a POSIX system, Perl's supports the C<POSIX::strtod>
+function. Its semantics are somewhat cumbersome, so here's a C<getnum>
+wrapper function for more convenient access. This function takes
+a string and returns the number it found, or C<undef> for input that
+isn't a C float. The C<is_numeric> function is a front end to C<getnum>
+if you just want to say, ``Is this a float?''
+
+ sub getnum {
+ use POSIX qw(strtod);
+ my $str = shift;
+ $str =~ s/^\s+//;
+ $str =~ s/\s+$//;
+ $! = 0;
+ my($num, $unparsed) = strtod($str);
+ if (($str eq '') || ($unparsed != 0) || $!) {
+ return undef;
+ } else {
+ return $num;
+ }
+ }
+
+ sub is_numeric { defined &getnum }
+
+Or you could check out
+http://www.perl.com/CPAN/modules/by-module/String/String-Scanf-1.1.tar.gz
+instead. The POSIX module (part of the standard Perl distribution)
+provides the C<strtol> and C<strtod> for converting strings to double
+and longs, respectively.
+
+=head2 How do I keep persistent data across program calls?
+
+For some specific applications, you can use one of the DBM modules.
+See L<AnyDBM_File>. More generically, you should consult the
+FreezeThaw, Storable, or Class::Eroot modules from CPAN.
+
+=head2 How do I print out or copy a recursive data structure?
+
+The Data::Dumper module on CPAN is nice for printing out
+data structures, and FreezeThaw for copying them. For example:
+
+ use FreezeThaw qw(freeze thaw);
+ $new = thaw freeze $old;
+
+Where $old can be (a reference to) any kind of data structure you'd like.
+It will be deeply copied.
+
+=head2 How do I define methods for every class/object?
+
+Use the UNIVERSAL class (see L<UNIVERSAL>).
+
+=head2 How do I verify a credit card checksum?
+
+Get the Business::CreditCard module from CPAN.
+
+=head1 AUTHOR AND COPYRIGHT
+
+Copyright (c) 1997, 1998 Tom Christiansen and Nathan Torkington.
+All rights reserved.
+
+When included as part of the Standard Version of Perl, or as part of
+its complete documentation whether printed or otherwise, this work
+may be distributed only under the terms of Perl's Artistic License.
+Any distribution of this file or derivatives thereof I<outside>
+of that package require that special arrangements be made with
+copyright holder.
+
+Irrespective of its distribution, all code examples in this file
+are hereby placed into the public domain. You are permitted and
+encouraged to use this code in your own programs for fun
+or for profit as you see fit. A simple comment in the code giving
+credit would be courteous but is not required.
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