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List::Compare::FunctioUser3Contributed Perl DocumeList::Compare::Functional(3)

NAME
       List::Compare::Functional - Compare elements of two or more lists

VERSION
       This document refers to version 0.37 of List::Compare::Functional.
       This version was released June 07, 2008.	 The first released version of
       List::Compare::Functional was v0.21.  Its version numbers are set to be
       consistent with the other parts of the List::Compare distribution.

   Notice of Interface Changes
       Certain significant changes to the interface to
       List::Compare::Functional were made with the introduction of Version
       0.25 in April 2004.  The documentation immediately below reflects those
       changes, so if you are first using this module with that or a later
       version, simply read and follow the documentation below.	 If, however,
       you used List::Compare::Functional prior to that version, see the
       discussion of interface changes farther below: April 2004 Change of
       Interface.

SYNOPSIS
   Getting Started
       List::Compare::Functional exports no subroutines by default.

	   use List::Compare::Functional qw(:originals :aliases);

       will import all publicly available subroutines from
       List::Compare::Functional.  The model for importing just one subroutine
       from List::Compare::Functional is:

	   use List::Compare::Functional qw( get_intersection );

       It will probably be most convenient for the user to import functions by
       using one of the two following export tags:

	   use List::Compare::Functional qw(:main :mainrefs);

       The assignment of the various comparison functions to export tags is
       discussed below.

       For clarity, we shall begin by discussing comparisons of just two lists
       at a time.  Farther below, we shall discuss comparisons among three or
       more lists at a time.

   Comparing Two Lists Held in Arrays
       ·   Given two lists:

	       @Llist = qw(abel abel baker camera delta edward fargo golfer);
	       @Rlist = qw(baker camera delta delta edward fargo golfer hilton);

       ·   Get those items which appear at least once in both lists (their
	   intersection).

	       @intersection = get_intersection( [ \@Llist, \@Rlist ] );

	   Note that you could place the references to the lists being
	   compared into a named array and then pass "get_intersection()" a
	   reference to that array.

	       @to_be_compared = ( \@Llist, \@Rlist );
	       @intersection = get_intersection( \@to_be_compared );

	   Beginning with version 0.29 (May 2004), List::Compare::Functional
	   now offers an additional way of passing arguments to its various
	   functions.  If you prefer to see a more explicit delineation among
	   the types of arguments passed to a function, pass a single hash
	   reference which holds the lists being compared in an anonymous
	   array which is the value corresponding to key "lists":

	       @intersection = get_intersection( {
		  lists => [ \@Llist, \@Rlist ],
	       } );

       ·   Get those items which appear at least once in either list (their
	   union).

	       @union = get_union( [ \@Llist, \@Rlist ] );

	   or

	       @union = get_union( { lists => [ \@Llist, \@Rlist ] } );

       ·   Get those items which appear (at least once) only in the first
	   list.

	       @Lonly = get_unique( [ \@Llist, \@Rlist ] );

	   or

	       @Lonly = get_unique( { lists => [ \@Llist, \@Rlist ] } );

       ·   Get those items which appear (at least once) only in the second
	   list.

	       @Ronly = get_complement( [ \@Llist, \@Rlist ] );

	   or

	       @Ronly = get_complement( { lists => [ \@Llist, \@Rlist ] } );

       ·

	       @LorRonly = get_symmetric_difference( [ \@Llist, \@Rlist ] );

	       @LorRonly = get_symdiff( [ \@Llist, \@Rlist ] );	      # alias

	   or

	       @LorRonly = get_symmetric_difference( { lists => [ \@Llist, \@Rlist ] } );

       ·   Make a bag of all those items in both lists.	 The bag differs from
	   the union of the two lists in that it holds as many copies of
	   individual elements as appear in the original lists.

	       @bag = get_bag( [ \@Llist, \@Rlist ] );

	   or

	       @bag = get_bag( { lists => [ \@Llist, \@Rlist ] } );

       ·   An alternative approach to the above functions:  If you do not
	   immediately require an array as the return value of the function
	   call, but simply need a reference to an (anonymous) array, use one
	   of the following parallel functions:

	       $intersection_ref = get_intersection_ref(	 [ \@Llist, \@Rlist ] );
	       $union_ref	 = get_union_ref(		 [ \@Llist, \@Rlist ] );
	       $Lonly_ref	 = get_unique_ref(		 [ \@Llist, \@Rlist ] );
	       $Ronly_ref	 = get_complement_ref(		 [ \@Llist, \@Rlist ] );
	       $LorRonly_ref	 = get_symmetric_difference_ref( [ \@Llist, \@Rlist ] );
	       $LorRonly_ref	 = get_symdiff_ref(		 [ \@Llist, \@Rlist ] );
				       # alias
	       $bag_ref		 = get_bag_ref(			 [ \@Llist, \@Rlist ] );

	   or

	       $intersection_ref =
		   get_intersection_ref(	 { lists => [ \@Llist, \@Rlist ] } );
	       $union_ref	 =
		   get_union_ref(		 { lists => [ \@Llist, \@Rlist ] } );
	       $Lonly_ref	 =
		   get_unique_ref(		 { lists => [ \@Llist, \@Rlist ] } );
	       $Ronly_ref	 =
		   get_complement_ref(		 { lists => [ \@Llist, \@Rlist ] } );
	       $LorRonly_ref	 =
		   get_symmetric_difference_ref( { lists => [ \@Llist, \@Rlist ] } );
	       $LorRonly_ref	 =
		   get_symdiff_ref(		 { lists => [ \@Llist, \@Rlist ] } );
		   # alias
	       $bag_ref		 =
		   get_bag_ref(			 { lists => [ \@Llist, \@Rlist ] } );

       ·   Return a true value if the first list ('L' for 'left') is a subset
	   of the second list ('R' for 'right').

	       $LR = is_LsubsetR( [ \@Llist, \@Rlist ] );

	   or

	       $LR = is_LsubsetR( { lists => [ \@Llist, \@Rlist ] } );

       ·   Return a true value if R is a subset of L.

	       $RL = is_RsubsetL( [ \@Llist, \@Rlist ] );

	   or

	       $RL = is_RsubsetL( { lists => [ \@Llist, \@Rlist ] } );

       ·   Return a true value if L and R are equivalent, i.e., if every
	   element in L appears at least once in R and vice versa.

	       $eqv = is_LequivalentR( [ \@Llist, \@Rlist ] );
	       $eqv = is_LeqvlntR( [ \@Llist, \@Rlist ] );	      # alias

	   or

	       $eqv = is_LequivalentR( { lists => [ \@Llist, \@Rlist ] } );

       ·   Return a true value if L and R are disjoint, i.e., if L and R have
	   no common elements.

	       $disj = is_LdisjointR( [ \@Llist, \@Rlist ] );

	   or

	       $disj = is_LdisjointR( { lists => [ \@Llist, \@Rlist ] } );

       ·   Pretty-print a chart showing whether one list is a subset of the
	   other.

	       print_subset_chart( [ \@Llist, \@Rlist ] );

	   or

	       print_subset_chart( { lists => [ \@Llist, \@Rlist ] } );

       ·   Pretty-print a chart showing whether the two lists are equivalent
	   (same elements found at least once in both).

	       print_equivalence_chart( [ \@Llist, \@Rlist ] );

	   or

	       print_equivalence_chart( { lists => [ \@Llist, \@Rlist ] } );

       ·   Determine in which (if any) of the lists a given string can be
	   found.  In list context, return a list of those indices in the
	   argument list corresponding to lists holding the string being
	   tested.

	       @memb_arr = is_member_which( [ \@Llist, \@Rlist ] , [ 'abel' ] );

	   or

	       @memb_arr = is_member_which( {
		   lists => [ \@Llist, \@Rlist ],  # value is array reference
		   item	 => 'abel',		   # value is string
	       } );

	   In the example above, @memb_arr will be:

	       ( 0 )

	   because 'abel' is found only in @Al which holds position 0 in the
	   list of arguments passed to "new()".

       ·   As with other List::Compare::Functional functions which return a
	   list, you may wish the above function returned a (scalar) reference
	   to an array holding the list:

	       $memb_arr_ref = is_member_which_ref( [ \@Llist, \@Rlist ] , [ 'baker' ] );

	   or

	       $memb_arr_ref = is_member_which_ref( {
		   lists => [ \@Llist, \@Rlist ],  # value is array reference
		   item	 => 'baker',		   # value is string
	       } );

	   In the example above, $memb_arr_ref will be:

	       [ 0, 1 ]

	   because 'baker' is found in @Llist and @Rlist, which hold positions
	   0 and 1, respectively, in the list of arguments passed to "new()".

	   Note:  functions "is_member_which()" and "is_member_which_ref" test
	   only one string at a time and hence take only one argument.	To
	   test more than one string at a time see the next function,
	   "are_members_which()".

       ·   Determine in "which" (if any) of the lists passed as arguments one
	   or more given strings can be found.	The lists beings searched are
	   placed in an array, a reference to which is the first argument
	   passed to "are_members_which()".  The strings to be tested are also
	   placed in an array, a reference to which is the second argument
	   passed to that function.

	       $memb_hash_ref =
		   are_members_which( [ \@Llist, \@Rlist ] ,
				      [ qw| abel baker fargo hilton zebra | ]
				    );

	   or

	       $memb_hash_ref = are_members_which( {
		   lists => [ \@Llist, \@Rlist ],		     # value is arrayref
		   items => [ qw| abel baker fargo hilton zebra | ], # value is arrayref
	       } );

	   The return value is a reference to a hash of arrays.	 The key for
	   each element in this hash is the string being tested.  Each
	   element's value is a reference to an anonymous array whose elements
	   are those indices in the constructor's argument list corresponding
	   to lists holding the strings being tested.  In the examples above,
	   $memb_hash_ref will be:

	       {
		    abel     => [ 0    ],
		    baker    => [ 0, 1 ],
		    fargo    => [ 0, 1 ],
		    hilton   => [    1 ],
		    zebra    => [      ],
	       };

	   Note:  "are_members_which()" can take more than one argument;
	   "is_member_which()" and "is_member_which_ref()" each take only one
	   argument.  Unlike those functions, "are_members_which()" returns a
	   hash reference.

       ·   Determine whether a given string can be found in any of the lists
	   passed as arguments.	 Return 1 if a specified string can be found
	   in any of the lists and 0 if not.

	       $found = is_member_any( [ \@Llist, \@Rlist ] , [ 'abel' ] );

	   or

	       $found = is_member_any( {
		   lists => [ \@Llist, \@Rlist ], # value is array reference
		   item	 => 'abel',		  # value is string
	       } );

	   In the example above, $found will be 1 because 'abel' is found in
	   one or more of the lists passed as arguments to "new()".

       ·   Determine whether a specified string or strings can be found in any
	   of the lists passed as arguments. The lists beings searched are
	   placed in an array, a reference to which is the first argument
	   passed to "are_members_any()".  The strings to be tested are also
	   placed in an array, a reference to which is the second argument
	   passed to that function.

	       $memb_hash_ref =
		   are_members_any( [ \@Llist, \@Rlist ] ,
				    [ qw| abel baker fargo hilton zebra | ]
				  );

	   or

	       $memb_hash_ref = are_members_any( {
		   lists => [ \@Llist, \@Rlist ],		     # value is arrayref
		   items => [ qw| abel baker fargo hilton zebra | ], # value is arrayref
	       } );

	   The return value is a reference to a hash where an element's key is
	   the string being tested and the element's value is 1 if the string
	   can be found in any of the lists and 0 if not.  In the examples
	   above, $memb_hash_ref will be:

	       {
		    abel     => 1,
		    baker    => 1,
		    fargo    => 1,
		    hilton   => 1,
		    zebra    => 0,
	       };

	   "zebra"'s value is 0 because "zebra" is not found in either of the
	   lists passed as arguments to "are_members_any()".

       ·   Return current List::Compare::Functional version number.

	       $vers = get_version;

   Comparing Three or More Lists Held in Arrays
       Given five lists:

	   @Al	   = qw(abel abel baker camera delta edward fargo golfer);
	   @Bob	   = qw(baker camera delta delta edward fargo golfer hilton);
	   @Carmen = qw(fargo golfer hilton icon icon jerky kappa);
	   @Don	   = qw(fargo icon jerky);
	   @Ed	   = qw(fargo icon icon jerky);

       ·   Get those items which appear at least once in each list (their
	   intersection).

	       @intersection = get_intersection( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );

	   or

	       @intersection = get_intersection( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
	       } );

       ·   Get those items which appear at least once in any of the lists
	   (their union).

	       @union = get_union( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );

	   or
	       @union = get_union( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
	       } );

       ·   To get those items which are unique to a particular list, provide
	   "get_unique()" with two array references.  The first holds
	   references to the arrays which in turn hold the individual lists
	   being compared.  The second holds the index position in the first
	   reference of the particular list under consideration.  Example:  To
	   get elements unique to @Carmen:

	       @Lonly = get_unique(
			    [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
			    [ 2 ]
			);

	   or

	       @Lonly = get_unique( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ], # value is arrayref
		   item	 => 2,					    # value is number
	       } );

	   If no index position is passed to "get_unique()" it will default to
	   0 and report items unique to the first list passed to the function.
	   Hence,

	       @Lonly = get_unique( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );

	   is same as:

	       @Lonly = get_unique( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ], [ 0 ] );

       ·   Should you need to identify the items unique to each of the lists
	   under consideration, call "get_unique_all" and get a reference to
	   an array of array references:

	       $unique_all_ref = get_unique_all(
		   [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ]
	       );

	   or

	       $unique_all_ref = get_unique_all( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
	       } );

       ·   To get those items which appear only in lists other than one
	   particular list, pass two array references to the
	   "get_complement()"  function.  The first holds references to the
	   arrays which in turn hold the individual lists being compared.  The
	   second holds the index position in the first reference of the
	   particular list under consideration.	 Example:  to get all the
	   elements found in lists other than @Don:

	       @Ronly = get_complement(
			    [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
			    [ 3 ]
			);

	   or

	       @Ronly = get_complement( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ], # value is arrayref
		   item	 => 3,					    # value is number
	       } );

	   If no index position is passed to "get_complement()" it will
	   default to 0 and report items found in all lists other than the
	   first list passed to "get_complement()".

	       @Lonly = get_complement( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );

	   is same as:

	       @Lonly = get_complement( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ], [ 0 ] );

       ·   Should you need to identify the items not found in each of the
	   lists under consideration, call "get_complement_all" and get a
	   reference to an array of array references:

	       $complement_all_ref = get_complement_all(
		   [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ]
	       );

	   or

	       $complement_all_ref = get_complement_all( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
	       } );

       ·   Get those items which do not appear in more than one of several
	   lists (their symmetric_difference);

	       @LorRonly = get_symmetric_difference( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );
	       @LorRonly = get_symdiff( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] ); # alias

	   or

	       @LorRonly = get_symmetric_difference( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
	       } );

       ·   Get those items found in any of several lists which do not appear
	   in "all" of the lists (i.e., all items except those found in the
	   intersection of the lists):

	       @nonintersection = get_nonintersection(
				      [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );

	   or

	       @nonintersection = get_nonintersection( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
	       } );

       ·   Get those items which appear in more than one of several lists
	   (i.e., all items except those found in their symmetric difference);

	       @shared = get_shared( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );

	   or

	       @shared = get_shared( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
	       } );

       ·   Make a bag of every item found in every list.  The bag differs from
	   the union of the two lists in that it holds as many copies of
	   individual elements as appear in the original lists.

	       @bag = get_bag( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );

	   or

	       @bag = get_bag( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
	       } );

       ·   An alternative approach to the above functions:  If you do not
	   immediately require an array as the return value of the function,
	   but simply need a reference to an array, use one of the following
	   parallel functions:

	       $intersection_ref    = get_intersection_ref(
					[ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );
	       $union_ref	    = get_union_ref(
					[ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );
	       $Lonly_ref	    = get_unique_ref(
					[ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );
	       $Ronly_ref	    = get_complement_ref(
					[ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );
	       $LorRonly_ref	    = get_symmetric_difference_ref(
					[ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );
	       $LorRonly_ref	    = get_symdiff_ref(		  # alias
					[ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );
	       $nonintersection_ref = get_nonintersection_ref(
					[ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );
	       $shared_ref	    = get_shared_ref(
					[ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );
	       $bag_ref		    = get_bag_ref(
					[ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );

       ·   To determine whether one particular list is a subset of another of
	   the lists passed to the function, pass to "is_LsubsetR()" two array
	   references.	The first of these is a reference to an array of array
	   references, the arrays holding the lists under consideration.  The
	   second is a reference to a two-element array consisting of the
	   index of the presumed subset, followed by the index position of the
	   presumed superset.  A true value (1) is returned if the first
	   (left-hand) element in the second reference list is a subset of the
	   second (right-hand) element; a false value (0) is returned
	   otherwise.

	   Example:  To determine whether @Ed is a subset of @Carmen, call:

	       $LR = is_LsubsetR(
			 [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
			 [ 4, 2 ]
		     );

	   or

	       $LR = is_LsubsetR( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ], # value is arrayref
		   pair	 => [ 4, 2 ],				    # value is arrayref
	       } );

	   If only the first reference (to the array of lists) is passed to
	   "is_LsubsetR", then the function's second argument defaults to
	   "(0,1)" and compares the first two lists passed to the constructor.
	   So,

	       $LR = is_LsubsetR([ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );

	   ... is equivalent to:

	       $LR = is_LsubsetR([ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ], [0,1] );

       ·   To reverse the order in which the particular lists are evaluated
	   for superset/subset status, call "is_RsubsetL":

	       $RL = is_RsubsetL([ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ], [2,4] );

	   or

	       $RL = is_RsubsetL( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
		   pair	 => [ 2, 4 ],
	       } );

       ·   List::Compare::Functional considers two lists to be equivalent if
	   every element in one list appears at least once in R and vice
	   versa.  To determine whether one particular list passed to the
	   function is equivalent to another of the lists passed to the
	   function, provide "is_LequivalentR()" with two array references.
	   The first is a reference to an array of array references, the
	   arrays holding the lists under consideration.  The second of these
	   is a reference to a two-element array consisting of the two lists
	   being tested for equivalence.  A true value (1) is returned if the
	   lists are equivalent; a false value (0) is returned otherwise.

	   Example:  To determine whether @Don and @Ed are equivalent, call:

	       $eqv = is_LequivalentR(
			  [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
			  [3,4]
		      );

	       $eqv = is_LeqvlntR(				  # alias
			  [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
			  [3,4]
		      );

	   or

	       $eqv = is_LequivalentR( {
		   items => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
		   pair	 => [3,4],
	       } );

	   If no arguments are passed, "is_LequivalentR" defaults to "[0,1]"
	   and compares the first two lists passed to the function. So,

	       $eqv = is_LequivalentR( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );

	   ... translates to:

	       $eqv = is_LequivalentR( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ], [0,1] );

       ·   To determine whether any two of the lists passed to the function
	   are disjoint from one another (i.e., have no common members),
	   provide "is_LdisjointR()" with two array references.	 The first is
	   a reference to an array of array references, the arrays holding the
	   lists under consideration.  The second of these is a reference to a
	   two-element array consisting of the two lists being tested for
	   disjointedness.  A true value (1) is returned if the lists are
	   disjoint; a false value (0) is returned otherwise.

	   Example:  To determine whether @Don and @Ed are disjoint, call:

	       $disj = is_LdisjointR(
			  [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
			  [3,4]
		      );

	   or

	       $disj = is_LdisjointR( {
		   items => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
		   pair	 => [3,4]
	       } );

       ·   Pretty-print a chart showing the subset relationships among the
	   various source lists:

	       print_subset_chart( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );

	   or

	       print_subset_chart( { lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] } );

       ·   Pretty-print a chart showing the equivalence relationships among
	   the various source lists:

	       print_equivalence_chart( [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] );

	   or

	       print_equivalence_chart( { lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ] } );

       ·   Determine in which (if any) of several lists a given string can be
	   found.  Pass two array references, the first of which holds
	   references to arrays holding the lists under consideration, and the
	   second of which holds a single-item list consisting of the string
	   being tested.

	       @memb_arr = is_member_which(
			       [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
			       [ 'abel' ]
			   );

	   or

	       @memb_arr = is_member_which( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ], # value is arrayref
		   item	 => 'abel',				    # value is string
	       } );

	   In list context, return a list of those indices in the function's
	   argument list corresponding to lists holding the string being
	   tested.  In the example above, @memb_arr will be:

	       ( 0 )

	   because 'abel' is found only in @Al which holds position 0 in the
	   list of arguments passed to "is_member_which()".

       ·   As with other List::Compare::Functional functions which return a
	   list, you may wish the above function returned a reference to an
	   array holding the list:

	       $memb_arr_ref = is_member_which_ref(
				   [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
				   [ 'jerky' ]
			       );

	   or

	       $memb_arr_ref = is_member_which_ref( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ], # value is arrayref
		   item	 => 'jerky',				    # value is string
	       } );

	   In the example above, $memb_arr_ref will be:

	       [ 3, 4 ]

	   because 'jerky' is found in @Don and @Ed, which hold positions 3
	   and 4, respectively, in the list of arguments passed to
	   "is_member_which()".

	   Note:  functions "is_member_which()" and "is_member_which_ref" test
	   only one string at a time and hence take only one element in the
	   second array reference argument.  To test more than one string at a
	   time see the next function, "are_members_which()".

       ·   Determine in "which" (if any) of several lists one or more given
	   strings can be found.  Pass two array references, the first of
	   which holds references to arrays holding the lists under
	   consideration, and the second of which holds a list of the strings
	   being tested.

	       $memb_hash_ref = are_members_which(
				    [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
				    [ qw| abel baker fargo hilton zebra | ]
				);

	   or

	       $memb_hash_ref = are_members_which( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],  # value is arrayref
		   items => [ qw| abel baker fargo hilton zebra | ], # value is arrayref
	       } );

	   The return valus is a reference to a hash of arrays.	 In this hash,
	   each element's value is a reference to an anonymous array whose
	   elements are those indices in the argument list corresponding to
	   lists holding the strings being tested.  In the two examples above,
	   $memb_hash_ref will be:

	       {
		    abel     => [ 0		],
		    baker    => [ 0, 1		],
		    fargo    => [ 0, 1, 2, 3, 4 ],
		    hilton   => [    1, 2	],
		    zebra    => [		],
	       };

	   Note:  "are_members_which()" tests more than one string at a time.
	   Hence, its second array reference argument can take more than one
	   element.  "is_member_which()" and "is_member_which_ref()" each take
	   only one element in their second array reference arguments.
	   "are_members_which()" returns a hash reference; the other functions
	   return either a list or a reference to an array holding that list,
	   depending on context.

       ·   Determine whether a given string can be found in any of several
	   lists.  Pass two array references, the first of which holds
	   references to arrays holding the lists under consideration, and the
	   second of which holds a single-item list of the string being
	   tested.

	       $found = is_member_any(
			       [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
			       [ 'abel' ]
			   );

	   or

	       $found = is_member_any( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ], # value is arrayref
		   item	 => 'abel',				    # value is string
	       } );

	   The return value is 1 if a specified string can be found in any of
	   the lists and 0 if not.  In the example above, $found will be 1
	   because "abel" is found in one or more of the lists passed as
	   arguments to "is_member_any()".

       ·   Determine whether a specified string or strings can be found in any
	   of several lists.  Pass two array references, the first of which
	   holds references to arrays holding the lists under consideration,
	   and the second of which holds a list of the strings being tested.

	       $memb_hash_ref = are_members_any(
				    [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],
				    [ qw| abel baker fargo hilton zebra | ]
				);

	   or

	       $memb_hash_ref = are_members_any( {
		   lists => [ \@Al, \@Bob, \@Carmen, \@Don, \@Ed ],  # value is arrayref
		   items => [ qw| abel baker fargo hilton zebra | ], # value is arrayref
	       } );

	   The return value is a reference to a hash where an element's key is
	   the string being tested and the element's value is 1 if the string
	   can be found in any of the lists and 0 if not.  In the example
	   above, $memb_hash_ref will be:

	       {
		    abel     => 1,
		    baker    => 1,
		    fargo    => 1,
		    hilton   => 1,
		    zebra    => 0,
	       };

	   "zebra"'s value is 0 because "zebra" is not found in any of the
	   lists passed as arguments to "are_members_any()".

       ·   Return current List::Compare::Functional version number:

	       $vers = get_version;

   Comparing Lists Held in Seen-Hashes
       What is a seen-hash?  A seen-hash is a typical Perl implementation of a
       look-up table:  a hash where the value for a given element represents
       the number of times the element's key is observed in a list.  For the
       purposes of List::Compare::Functional, what is crucial is whether an
       item is observed in a list or not; how many times the item occurs in a
       list is, with one exception, irrelevant.	 (That exception is the
       "get_bag()" function and its fraternal twin "get_bag_ref()".  In this
       case only, the key in each element of the seen-hash is placed in the
       bag the number of times indicated by the value of that element.)	 The
       value of an element in a List::Compare seen-hash must be a positive
       integer, but whether that integer is 1 or 1,000,001 is immaterial for
       all List::Compare::Functional functions except forming a bag.

       The two lists compared above were represented by arrays; references to
       those arrays were passed to the various List::Compare::Functional
       functions.  They could, however, have been represented by seen-hashes
       such as the following and passed in exactly the same manner to the
       various functions.

	   %Llist = (
	       abel   => 2,
	       baker  => 1,
	       camera => 1,
	       delta  => 1,
	       edward => 1,
	       fargo  => 1,
	       golfer => 1,
	   );
	   %Rlist = (
	       baker  => 1,
	       camera => 1,
	       delta  => 2,
	       edward => 1,
	       fargo  => 1,
	       golfer => 1,
	       hilton => 1,
	   );

	   @intersection = get_intersection( [ \%Llist, \%Rlist ] );
	   @union	 = get_union(	     [ \%Llist, \%Rlist ] );
	   @complement	 = get_complement(   [ \%Llist, \%Rlist ] );

       and so forth.

       To compare three or more lists simultaneously, provide the appropriate
       List::Compare::Functional function with a first array reference holding
       a list of three or more references to seen-hashes.  Thus,

	   @union = get_intersection( [ \%Alpha, \%Beta, \%Gamma ] );

       The 'single hashref' format for List::Compare::Functional functions is
       also available when passing seen-hashes as arguments.  Examples:

	   @intersection = get_intersection( {
	       lists => [ \%Alpha, \%Beta, \%Gamma ],
	   } );

	   @Ronly = get_complement( {
	       lists => [ \%Alpha, \%Beta, \%Gamma ],
	       item  => 3,
	   } );

	   $LR = is_LsubsetR( {
	       lists => [ \%Alpha, \%Beta, \%Gamma ],
	       pair  => [ 4, 2 ],
	   } );

	   $memb_hash_ref = are_members_any( {
	       lists => [ \%Alpha, \%Beta, \%Gamma ],
	       items => [ qw| abel baker fargo hilton zebra | ],
	   } );

   Faster Results with the Unsorted Option
       By default, List::Compare::Function functions return lists sorted in
       Perl's default ASCII-betical mode.  Sorting entails a performance cost,
       and if you do not need a sorted list and do not wish to pay this
       performance cost, you may call the following List::Compare::Function
       functions with the 'unsorted' option:

	   @intersection = get_intersection(	    '-u',  [ \@Llist, \@Rlist ] );
	   @union	 = get_union(		    '-u',  [ \@Llist, \@Rlist ] );
	   @Lonly	 = get_unique(		    '-u',  [ \@Llist, \@Rlist ] );
	   @Ronly	 = get_complement(	    '-u',  [ \@Llist, \@Rlist ] );
	   @LorRonly	 = get_symmetric_difference('-u',  [ \@Llist, \@Rlist ] );
	   @bag		 = get_bag(		    '-u',  [ \@Llist, \@Rlist ] );

       For greater readability, the option may be spelled out:

	   @intersection = get_intersection('--unsorted',  [ \@Llist, \@Rlist ] );

       or

	   @intersection = get_intersection( {
	       unsorted => 1,
	       lists	=> [ \@Llist, \@Rlist ],
	   } );

       Should you need a reference to an unsorted list as the return value,
       you may call the unsorted option as follows:

	   $intersection_ref = get_intersection_ref(
				   '-u',	 [ \@Llist, \@Rlist ] );
	   $intersection_ref = get_intersection_ref(
				   '--unsorted', [ \@Llist, \@Rlist ] );

DISCUSSION
   General Comments
       List::Compare::Functional is a non-object-oriented implementation of
       very common Perl code used to determine interesting relationships
       between two or more lists at a time.  List::Compare::Functional is
       based on the same author's List::Compare module found in the same CPAN
       distribution.  List::Compare::Functional is closely modeled on the
       ''Accelerated'' mode in List::Compare.

       For a discussion of the antecedents of this module, see the discussion
       of the history and development of this module in the documentation to
       List::Compare.

   List::Compare::Functional's Export Tag Groups
       By default, List::Compare::Functional exports no functions.  You may
       import individual functions into your main package but may find it more
       convenient to import via export tag groups.  Four such groups are
       currently defined:

	   use List::Compare::Functional qw(:main)
	   use List::Compare::Functional qw(:mainrefs)
	   use List::Compare::Functional qw(:originals)
	   use List::Compare::Functional qw(:aliases)

       ·   Tag group ":main" includes what, in the author's opinion, are the
	   six List::Compare::Functional subroutines mostly likely to be used:

	       get_intersection()
	       get_union()
	       get_unique()
	       get_complement()
	       get_symmetric_difference()
	       is_LsubsetR()

       ·   Tag group ":mainrefs" includes five of the six subroutines found in
	   ":main" -- all except "is_LsubsetR()" -- in the form in which they
	   return references to arrays rather than arrays proper:

	       get_intersection_ref()
	       get_union_ref()
	       get_unique_ref()
	       get_complement_ref()
	       get_symmetric_difference_ref()

       ·   Tag group ":originals" includes all List::Compare::Functional
	   subroutines in their 'original' form, i.e., no aliases for those
	   subroutines:

	       get_intersection
	       get_intersection_ref
	       get_union
	       get_union_ref
	       get_unique
	       get_unique_ref
	       get_unique_all
	       get_complement
	       get_complement_ref
	       get_complement_all
	       get_symmetric_difference
	       get_symmetric_difference_ref
	       get_shared
	       get_shared_ref
	       get_nonintersection
	       get_nonintersection_ref
	       is_LsubsetR
	       is_RsubsetL
	       is_LequivalentR
	       is_LdisjointR
	       is_member_which
	       is_member_which_ref
	       are_members_which
	       is_member_any
	       are_members_any
	       print_subset_chart
	       print_equivalence_chart
	       get_bag
	       get_bag_ref

       ·   Tag group ":aliases" contains all List::Compare::Functional
	   subroutines which are aliases for subroutines found in tag group
	   ":originals".  These are provided simply for less typing.

	       get_symdiff
	       get_symdiff_ref
	       is_LeqvlntR

   April 2004 Change of Interface
       Note:  You can skip this section unless you used
       List::Compare::Functional prior to the release of Version 0.25 in April
       2004.

       Version 0.25 initiated a significant change in the interface to this
       module's various functions.  In order to be able to accommodate
       comparisons among more than two lists, it was necessary to change the
       type of arguments passed to the various functions.  Whereas previously
       a typical List::Compare::Functional function would be called like this:

	   @intersection = get_intersection( \@Llist, \@Rlist ); # SUPERSEDED

       ... now the references to the lists being compared must now be placed
       within a wrapper array (anonymous or named), a reference to which is
       now passed to the function, like so:

	   @intersection = get_intersection( [ \@Llist, \@Rlist ] );

       ... or, alternatively:

	   @to_be_compared = (\@Llist, \@Rlist);
	   @intersection = get_intersection( \@to_be_compared );

       In a similar manner, List::Compare::Functional functions could
       previously take arguments in the form of references to 'seen-hashes'
       instead of references to arrays:

	   @intersection = get_intersection( \%h0, \%h1 );

       (See above for discussion of seen-hashes.)  Now, those references to
       seen-hashes must be placed within a wrapper array (anonymous or named),
       a reference to which is passed to the function, like so:

	   @intersection = get_intersection( [ \%h0, \%h1 ] );

       Also, in a similar manner, some List::Compare::Functional functions
       previously took arguments in addition to the lists being compared.
       These arguments were simply passed as scalars, like this:

	   @memb_arr = is_member_which(\@Llist, \@Rlist, 'abel');

       Now these arguments must also be placed within a wrapper array
       (anonymous or named), a reference to which is now passed to the
       function, like so:

	   @memb_arr = is_member_which( [ \@Llist, \@Rlist ], [ 'abel' ] );

       ... or, alternatively:

	   @to_be_compared = (\@Llist, \@Rlist);
	   @opts = ( 'abel' );
	   @memb_arr = is_member_which( \@to_be_compared, \@opts );

       As in previous versions, for a speed boost the user may provide the
       '-u' or '--unsorted' option as the first argument to some
       List::Compare::Functional functions.  Using this option, the
       "get_intersection()" function above would appear as:

	   @intersection = get_intersection( '-u', [ \@Llist, \@Rlist ] );

       ... or, alternatively:

	   @intersection = get_intersection( '--unsorted', [ \@Llist, \@Rlist ] );

       The arguments to any List::Compare::Functional function will therefore
       consist possibly of the unsorted option, and then of either one or two
       references to arrays, the first of which is a reference to an array of
       arrays or an array of seen-hashes.

AUTHOR
       James E. Keenan (jkeenan@cpan.org).  When sending correspondence,
       please include 'List::Compare::Functional' or 'List-Compare-Functional'
       in your subject line.

       Creation date:  May 20, 2002.  Last modification date:  June 07, 2008.
       Copyright (c) 2002-08 James E. Keenan.  United States.  All rights
       reserved.  This is free software and may be distributed under the same
       terms as Perl itself.

perl v5.14.0			  2008-06-07	  List::Compare::Functional(3)
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