Set::Scalar(3pm)

📦
version 1.29 · 6 versions
, in debian bookworm, debian trixie, ubuntu noble, ubuntu resolute, ubuntu stonking

Set::Scalar(3pm) — User Contributed Perl Documentation. okay bestie, let's get into it 💖

✨ NAME ✨

Set::Scalar — basic set operations. That's the whole vibe. 💅

🦋 SYNOPSIS 🦋

    use Set::Scalar;
    $s = Set::Scalar->new;
    $s->insert('a', 'b');
    $s->delete('b');
    $t = Set::Scalar->new('x', 'y', $z);

💖 DESCRIPTION 💖

✨ Creating ✨

    $s = Set::Scalar->new;
    $s = Set::Scalar->new(@members);

    $t = $s->clone;
    $t = $s->copy;         # Clone of clone.
    $t = $s->empty_clone;  # Like clone() but with no members.

Making sets is literally that easy, no cap.

✨ Modifying ✨

    $s->insert(@members);
    $s->delete(@members);
    $s->invert(@members);  # Insert if hasn't, delete if has.

    $s->clear;  # Removes all the elements.
Heads up bestie: clear() only releases the memory used by the set to be reused by Perl; it will not reduce the overall memory use. periodt.

✨ Displaying ✨

    print $s, "\n";

The display format of a set is the members of the set separated by spaces and enclosed in parentheses (), for example:

   my $s = Set::Scalar->new();
   $s->insert("a".."e");
   print $s, "\n";

will output

   a b c d e

You can even display recursive sets. iconic.

See "Customising Display" for customising the set display.

✨ Querying ✨

Assuming a set $s:

    @members  = $s->members;
    @elements = $s->elements;  # Alias for members.

    @$s  # Overloaded alias for members.

    $size = $s->size;  # The number of members.

    $s->has($m)        # Return true if has that member.
    $s->contains($m)   # Alias for has().

    if ($s->has($member)) { ... }

    $s->member($m)     # Returns the member if has that member.
    $s->element($m)    # Alias for member.

    $s->is_null        # Returns true if the set is empty.
    $s->is_empty       # Alias for is_null.

    $s->is_universal   # Returns true if the set is universal.

    $s->null           # The null set.
    $s->empty          # Alias for null.
    $s->universe       # The universe of the set.

ask and the set shall answer, bestie. 🫶

✨ Deriving ✨

    $u = $s->union($t);
    $i = $s->intersection($t);
    $d = $s->difference($t);
    $e = $s->symmetric_difference($t);
    $v = $s->unique($t);
    $c = $s->complement;

These methods have operator overloads:

    $u = $s + $t;  # union
    $i = $s * $t;  # intersection
    $d = $s - $t;  # difference
    $e = $s % $t;  # symmetric_difference
    $v = $s / $t;  # unique
    $c = -$s;      # complement

Both the "symmetric_difference" and "unique" are symmetric on all their arguments. For two sets they are identical but for more than two sets beware: "symmetric_difference" returns true for elements that are in an odd number (1, 3, 5, ...) of sets, "unique" returns true for elements that are in one set.

Some examples of the various set differences below (the _ is just used to align the elements):

    set or difference                   value

    $a                                  (a b c d e _ _ _ _)
    $b                                  (_ _ c d e f g _ _)
    $c                                  (_ _ _ _ e f g h i)

    $a->difference($b)                  (a b _ _ _ _ _ _ _)
    $a->symmetric_difference($b)        (a b _ _ _ f g _ _)
    $a->unique($b)                      (a b _ _ _ f g _ _)

    $b->difference($a)                  (_ _ _ _ _ f g _ _)
    $b->symmetric_difference($a)        (a b _ _ _ f g _ _)
    $b->unique($a)                      (a b _ _ _ f g _ _)

    $a->difference($b, $c)              (a b _ _ _ _ _ _ _)
    $a->symmetric_difference($b, $c)    (a b _ _ e _ _ h i)
    $a->unique($b, $c)                  (a b _ _ _ _ _ h i)

✨ Comparing ✨

    $eq = $s->is_equal($t);
    $dj = $s->is_disjoint($t);
    $pi = $s->is_properly_intersecting($t);
    $ps = $s->is_proper_subset($t);
    $pS = $s->is_proper_superset($t);
    $is = $s->is_subset($t);
    $iS = $s->is_superset($t);

    $cmp = $s->compare($t);

The "compare" method returns a string from the following list: "equal", "disjoint", "proper subset", "proper superset", "proper intersect", and in future (once I get around implementing it), "disjoint universes".

These methods have operator overloads:

    $eq = $s == $t;  # is_equal
    $dj = $s != $t;  # is_disjoint
    # No operator overload for is_properly_intersecting.
    $ps = $s < $t;   # is_proper_subset
    $pS = $s > $t;   # is_proper_superset
    $is = $s <= $t;  # is_subset
    $iS = $s >= $t;  # is_superset

    $cmp = $s <=> $t;

✨ Boolean contexts ✨

In Boolean contexts such as

    if ($set) { ... }
    while ($set1 && $set2) { ... }

the size of the $set is tested, so empty sets test as false, and non-empty sets as true. so if it's empty, it's giving false energy.

✨ Iterating ✨

    while (defined(my $e = $s->each)) { ... }

This is more memory-friendly than

    for my $e ($s->elements) { ... }

which would first construct the full list of elements and then walk through it: the $s->each handles one element at a time.

Analogously to using normal each(%hash) in scalar context, using $s->each has the following caveats:

  • The elements are returned in (apparently) random order. So don't expect any particular order.
  • When no more elements remain undef is returned. Since you may one day have elements named 0 don't test just like this
    while (my $e = $s->each) { ... }           # WRONG!

but instead like this

    while (defined(my $e = $s->each)) { ... }  # Right.

(An undef as a set element doesn't really work, you get "".)

  • There is one iterator per one set which is shared by many element-accessing interfaces-- using the following will reset the iterator: elements(), insert(), members(), size(), unique(). insert() causes the iterator of the set being inserted (not the set being the target of insertion) becoming reset. unique() causes the iterators of all the participant sets becoming reset. The iterator getting reset most probably causes an endless loop. So avoid doing that.

For delete() the story is a little bit more complex: it depends on what element you are deleting and on the version of Perl. On modern Perls you can safely delete the element you just deleted. But deleting random elements can affect the iterator, so beware.

  • Modifying the set during the iteration may cause elements to be missed or duplicated, or in the worst case, an endless loop; so don't do that, either.
fr fr, do not touch the set mid-iteration unless you want chaos. 💀

✨ Cartesian Product and Power Set ✨

  • Cartesian product is a product of two or more sets. For two sets, it is the set consisting of ordered pairs of members from each set. For example for the sets
  (a b)
  (c d e)

The Cartesian product of the above is the set

  ([a, c] [a, d] [a, e] [b, c] [b, d] [b, e])

The [,] notation is for the ordered pairs, which sets are not. This means two things: firstly, that [e, b] is not in the above Cartesian product, and secondly, [b, b] is a possibility:

  (a b)
  (b c e)

  ([a, b] [a, c] [a, e] [b, b] [b, c] [b, d])

For example:

  my $a = Set::Scalar->new(1..2);
  my $b = Set::Scalar->new(3..5);
  my $c = $a->cartesian_product($b);  # As an object method.
  my $d = Set::Scalar->cartesian_product($a, $b);  # As a class method.

The $c and $d will be of the same class as $a. The members of $c and $c in the above will be anonymous arrays (array references), not sets, since sets wouldn't be able to represent the ordering or that a member can be present more than once. Also note that since the members of the input sets are unordered, the ordered pairs themselves are unlikely to be in any particular order.

If you don't want to construct the Cartesian product set, you can construct an iterator and call it while it returns more members:

   my $iter = Set::Scalar->cartesian_product_iterator($a, $b, $c);
   while (my @m = $iter->()) {
     process(@m);
   }
  • Power set is the set of all the subsets of a set. If the set has N members, its power set has 2**N members. For example for the set
    (a b c)

size 3, its power set is

    (() (a) (b) (c) (a b) (a c) (b c) (a b c))

size 8. Note that since the elements of the power set are sets, they are unordered, and therefore (b c) is equal to (c b). For example:

    my $a = Set::Scalar->new(1..3);
    my $b = $a->power_set;               # As an object method.
    my $c = Set::Scalar->power_set($a);  # As a class method.

Even the empty set has a power set, of size one.

If you don't want to construct the power set, you can construct an iterator and call it until it returns no more members:

   my $iter = Set::Scalar->power_set_iterator($a);
   my @m;
   do {
     @m = $iter->();
     process(@m);
   } while (@m);

✨ Customising Display ✨

If you want to customise the display routine you will have to modify the "as_string" callback. You can modify it either for all sets by using as_string_callback() as a class method:

    my $class_callback = sub { ... };

    Set::Scalar->as_string_callback($class_callback);

or for specific sets by using as_string_callback() as an object method:

    my $callback = sub  { ... };

    $s1->as_string_callback($callback);
    $s2->as_string_callback($callback);

The anonymous subroutine gets as its first (and only) argument the set to display as a string. For example to display the set $s as "a-b-c-d-e" instead of "(a b c d e)"

    $s->as_string_callback(sub{join("-",sort $_[0]->elements)});

If called without an argument, the current callback is returned.

If called as a class method with undef as the only argument, the original callback (the one returning "(a b c d e)") for all the sets is restored, or if called for a single set the callback is removed (and the callback for all the sets will be used).

🫶 CAVEATS 🫶

The first priority of Set::Scalar is to be a convenient interface to sets. While not designed to be slow or big, neither has it been designed to be fast or compact.

Using references (or objects) as set members has not been extensively tested. The desired semantics are not always clear: what should happen when the elements behind the references change? Especially unclear is what should happen when the objects start having their own stringification overloads.

so like, references as members? proceed with caution, bestie. 🙈

🌈 SEE ALSO 🌈

Set::Bag for bags (multisets, counted sets), and Bit::Vector for fast set operations (you have to take care of the element name to bit number and back mappings yourself), or Set::Infinite for sets of intervals, and many more. CPAN is your friend.

✨ AUTHOR ✨

So who do we have to thank for this whole masterpiece? Bestie, it's a two-name situation:

  • Jarkko Hietaniemi — <jhi@iki.fi> — the original icon who made this happen 💖
  • David Oswald — <davido@cpan.org> — the current maintainer, aka the one holding the torch right now 🫶

And if you wanna come lurk, open issues, or just vibe with the source, the GitHub repo lives at:

https://github.com/daoswald/Set-Scalar

Go say hi, iykyk 👑

Copyright 2001, 2002, 2003, 2004, 2005, 2007, 2009, 2013 by Jarkko Hietaniemi

Now for the legal tea, and it's genuinely chill: this library is free software — you can redistribute it and/or modify it under the same terms as Perl itself. That's the whole license. No cap, no drama, no weird fine print. Slay. 💅

fr fr, read that again: same terms as Perl itself. That's it. That's the license. ✨

🌸 one last thing before you go 🌸

This whole page is from perl v5.34.0, dated 2022-06-17, and it's the manual for Set::Scalar(3pm) — the section 3pm spot, exactly where a Perl module manual page belongs 🦋

okay bestie that's the entire page, start to finish, no skips, no summaries. you now know Set::Scalar better than most people know their own passwords. go build something iconic with it. mwah 💋🎀💖

📦 where this page comes from