Aaron Cohen > Set-Functional-1.01 > Set::Functional

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NAME ^

Set::Functional - set operations for functional programming

VERSION ^

Version 1.0

SYNOPSIS ^

This module provides basic set operations for native lists. The primary goal is to take advantage of Perl's native functional programming capabilities while relying solely on Pure Perl constructs to perform the set operations as fast as possible. All of these techniques have been benchmarked against other common Perl idioms to determine the optimal solution. These benchmarks can be found in this package (shortly).

Each function is provided in two forms. The first form always expects simple flat data structures of defined elements. The second form expects a BLOCK (refered to as a choice function) to evaluate each member of the list to a defined value to determine how the element is a set member. These can be identified by the suffix "_by". None of these functions check definedness inline so as to eliminate the costly O(n) operation. All functions have been prototyped to give them a native Perl-ish look and feel.

Example usage:

        use Set::Functional ':all';

        # Set Creation
        my @deduped_numbers = setify(1 .. 10, 2 .. 11);
        my @deduped_objects_by_name = setify_by { $_->{name} } ({name => 'fred'}, {name => 'bob'}, {name => 'fred'});

        # Set Operation
        my @all_permutations = cartesian \@arr1, \@arr2, \@arr3, \@arr4;

        my @only_arr1_elements = difference \@arr1, \@arr2, \@arr3, \@arr4;
        my @only_arr1_elements_by_name = difference_by { $_->{name} } \@arr1, \@arr2, \@arr3, \@arr4;

        my @unique_per_set = disjoint \@arr1, \@arr2, \@arr3, \@arr4;
        my @unique_per_set_by_name = disjoint_by { $_->{name} } \@arr1, \@arr2, \@arr3, \@arr4;

        my @unique_elements = distinct \@arr1, \@arr2, \@arr3, \@arr4;
        my @unique_elements_by_name = distinct_by { $_->{name} } \@arr1, \@arr2, \@arr3, \@arr4;

        my @shared_elements = intersection \@arr1, \@arr2, \@arr3, \@arr4;
        my @shared_elements_by_name = intersection_by { $_->{name} } \@arr1, \@arr2, \@arr3, \@arr4;

        my @odd_occuring_elements = symmetric_difference \@arr1, \@arr2, \@arr3, \@arr4;
        my @odd_occuring_elements_by_name = symmetric_difference_by { $_->{name} } \@arr1, \@arr2, \@arr3, \@arr4;

        my @all_elements = union \@arr1, \@arr2, \@arr3, \@arr4;
        my @all_elements_by_name = union_by { $_->{name} } \@arr1, \@arr2, \@arr3, \@arr4;

        # Set Predicates
        my $is_all_of_arr1_distinct_from_arr2 = is_disjoint \@arr1, \@arr2;
        my $is_all_of_arr1_distinct_from_arr2_by_name = is_disjoint_by { $_->{name} } \@arr1, \@arr2;

        my $is_arr1_the_same_as_arr2 = is_equal \@arr1, \@arr2;
        my $is_arr1_the_same_as_arr2_by_name = is_equal_by { $_->{name} } \@arr1, \@arr2;

        my $are_all_sets_mutually_unique = is_pairwise_disjoint \@arr1, \@arr2, \@arr3, \@arr4;
        my $are_all_sets_mutually_unique_by_name = is_pairwise_disjoint_by { $_->{name} } \@arr1, \@arr2, \@arr3, \@arr4;

        my $is_all_of_arr1_in_arr2_but_not_the_same_as_arr2 = is_proper_subset \@arr1, \@arr2;
        my $is_all_of_arr1_in_arr2_but_not_the_same_as_arr2_by_name = is_proper_subset_by { $_->{name} } \@arr1, \@arr2;

        my $is_all_of_arr1_in_arr2 = is_subset \@arr1, \@arr2;
        my $is_all_of_arr1_in_arr2_by_name = is_subset_by { $_->{name} } \@arr1, \@arr2;

        my $is_all_of_arr2_in_arr1_but_not_the_same_as_arr1 = is_proper_superset \@arr1, \@arr2;
        my $is_all_of_arr2_in_arr1_but_not_the_same_as_arr1_by_name = is_proper_superset_by { $_->{name} } \@arr1, \@arr2;

        my $is_all_of_arr2_in_arr1 = is_superset \@arr1, \@arr2;
        my $is_all_of_arr2_in_arr1_by_name = is_superset_by { $_->{name} } \@arr1, \@arr2;

CONSTRUCTORS ^

setify(@)

Given a list, return a new set. Order is not guaranteed.

        setify 1 .. 10, 6 .. 15 => 1 .. 15

setify_by(&@)

Given a choice function and a list, return a new set defined by the choice function. Order is not guaranteed.

OPERATORS ^

cartesian(@)

Given multiple set references, return multiple sets containing all permutations of one element from each set. If the empty set is provided, the empty set is returned. If no sets are provided then none are returned.

        cartesian [1 .. 3], [1 .. 2] => [1,1],[1,2],[2,1],[2,2],[3,1],[3,2]

difference(@)

Given multiple set references, return a new set with all the elements in the first set that don't exist in subsequent sets.

        difference [1 .. 10], [6 .. 15] => 1 .. 5

difference_by(&@)

Given a choice function and multiple set references, return a new set with all the elements in the first set that don't exist in subsequent sets according to the choice function.

disjoint(@)

Given multiple set references, return corresponding sets containing all the elements from the original set that exist in any set exactly once.

        disjoint [1 .. 10], [6 .. 15] => [1 .. 5], [11 .. 15]

disjoint_by(&@)

Given a choice function and multiple set references, return corresponding sets containing all the elements from the original set that exist in any set exactly once according to the choice function.

distinct(@)

Given multiple set references, return a new set containing all the elements that exist in any set exactly once.

        distinct [1 .. 10], [6 .. 15] => 1 .. 5, 11 .. 15

distinct_by(&@)

Given a choice function and multiple set references, return a new set containing all the elements that exist in any set exactly once according to the choice function.

intersection(@)

Given multiple set references, return a new set containing all the elements that exist in all sets.

        intersection [1 .. 10], [6 .. 15] => 6 .. 10

intersection_by(&@)

Given a choice function and multiple set references, return a new set containing all the elements that exist in all sets according to the choice function.

symmetric_difference(@)

Given multiple set references, return a new set containing all the elements that exist an odd number of times across all sets.

        symmetric_difference [1 .. 10], [6 .. 15], [4, 8, 12] => 1 .. 5, 8, 11 .. 15

symmetric_difference_by(&@)

Given a choice function and multiple set references, return a new set containing all the elements that exist an odd number of times across all sets according to the choice function.

union(@)

Given multiple set references, return a new set containing all the elements that exist in any set.

        union [1 .. 10], [6 .. 15] => 1 .. 15

union_by(&@)

Given a choice function and multiple set references, return a new set containing all the elements that exist in any set according to the choice function.

PREDICATES ^

is_disjoint($$)

Given two set references, return true if both sets contain none of the same values.

        is_disjoint [1 .. 5], [6 .. 10] => true
        is_disjoint [1 .. 6], [4 .. 10] => false

is_disjoint_by(&$$)

Given a choice function and two sets references, return true if both sets contain none of the same values according to the choice function.

is_equal($$)

Given two set references, return true if both sets contain all the same values. Aliased by is_equivalent.

        is_equal [1 .. 5], [1 .. 5] => true
        is_equal [1 .. 10], [6 .. 15] => false

is_equal_by(&$$)

Given a choice function and two sets references, return true if both sets contain all the same values according to the choice function. Aliased by is_equivalent_by.

is_pairwise_disjoint(@)

Given multiple set references, return true if every set is disjoint from every other set.

        is_pairwise_disjoint [1 .. 5], [6 .. 10], [11 .. 15] => true
        is_pairwise_disjoint [1 .. 5], [6 .. 10], [11 .. 15], [3 .. 8] => false

is_pairwise_disjoint_by(&@)

Given a choice function and multiple set references, return true if every set is disjoint from every other set according to the choice function.

is_proper_subset($$)

Given two set references, return true if the first set is fully contained by but is not equivalent to the second.

        is_proper_subset [1 .. 5], [1 .. 10] => true
        is_proper_subset [1 .. 5], [1 .. 5] => false

is_proper_subset_by(&$$)

Given a choice function and two set references, return true if the first set is fully contained by but is not equivalent to the second according to the choice function.

is_proper_superset($$)

Given two set references, return true if the first set fully contains but is not equivalent to the second.

        is_proper_superset [1 .. 10], [1 .. 5] => true
        is_proper_superset [1 .. 5], [1 .. 5] => false

is_proper_superset_by(&$$)

Given a choice function and two set references, return true if the first set fully contains but is not equivalent to the second according to the choice function.

is_subset($$)

Given two set references, return true if the first set is fully contained by the second.

        is_subset [1 .. 5], [1 .. 10] => true
        is_subset [1 .. 5], [1 .. 5] => true
        is_subset [1 .. 5], [2 .. 11] => false

is_subset_by(&$$)

Given a choice function and two set references, return true if the first set is fully contained by the second according to the choice function.

is_superset($$)

Given two set references, return true if the first set fully contains the second.

        is_superset [1 .. 10], [1 .. 5] => true
        is_superset [1 .. 5], [1 .. 5] => true
        is_subset [1 .. 5], [2 .. 11] => false

is_superset_by(&$$)

Given a choice function and two set references, return true if the first set fully contains the second according to the choice function.

AUTHOR ^

Aaron Cohen, <aarondcohen at gmail.com>

Special thanks to: Logan Bell Thomas Whaples

BUGS ^

Please report any bugs or feature requests to bug-set-functional at rt.cpan.org, or through the web interface at https://github.com/aarondcohen/Set-Functional/issues. I will be notified, and then you'll automatically be notified of progress on your bug as I make changes.

TODO ^

SUPPORT ^

You can find documentation for this module with the perldoc command.

    perldoc Set::Functional

You can also look for information at:

LICENSE AND COPYRIGHT ^

Copyright 2011-2013 Aaron Cohen.

This program is free software; you can redistribute it and/or modify it under the terms of either: the GNU General Public License as published by the Free Software Foundation; or the Artistic License.

See http://dev.perl.org/licenses/ for more information.

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