File: Sort.pod

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%perlcode %{
@EXPORT_plain = qw/
                gsl_sort gsl_sort_index
                gsl_sort_smallest gsl_sort_smallest_index
                gsl_sort_largest gsl_sort_largest_index
                /;
@EXPORT_vector= qw/
                gsl_sort_vector gsl_sort_vector_index
                gsl_sort_vector_smallest gsl_sort_vector_smallest_index
                gsl_sort_vector_largest gsl_sort_vector_largest_index
                /;
@EXPORT_OK    = ( @EXPORT_plain, @EXPORT_vector );
%EXPORT_TAGS  = (
                 all    => [ @EXPORT_OK     ],
                 plain  => [ @EXPORT_plain  ],
                 vector => [ @EXPORT_vector ],
                );
__END__

=encoding utf8

=head1 NAME

Math::GSL::Sort - Functions for sorting data

=head1 SYNOPSIS

    use Math::GSL::Sort qw/:all/;
    my $x       = [ 2**15, 1.67, 20e5, -17, 6900, 1/3 , 42e-10 ];
    my $sorted  = gsl_sort($x, 1, $#$x+1 );
    my $numbers = [ map { rand(100) } (1..100) ];
    my ($status, $smallest10) = gsl_sort_smallest($array, 10, $x, 1, $#$x+1);


=head1 DESCRIPTION

=over

=item * gsl_sort_vector($v)

This function sorts the elements of the vector $v into ascending numerical
order.

=item * gsl_sort_vector_index($p, $v)

This function indirectly sorts the elements of the vector $v into ascending
order, storing the resulting permutation in $p. The elements of $p give the
index of the vector element which would have been stored in that position if
the vector had been sorted in place. The first element of $p gives the index
of the least element in $v, and the last element of $p gives the index of the
greatest element in $v. The vector $v is not changed.

=item * gsl_sort_vector_smallest($array, $k, $vector)

This function outputs 0 if the operation succeeded, 1 otherwise and then the
$k smallest elements of the vector $v. $k must be less than or equal to the
length of the vector $v.

=item * gsl_sort_vector_smallest_index($p, $k, $v)

This function outputs 0 if the operation succeeded, 1 otherwise and then the
indices of the $k smallest elements of the vector $v. $p must be a prealocated
array reference. This should be removed in further versions. $k must be less
than or equal to the length of the vector $v.

=item * gsl_sort_vector_largest($array, $k, $vector)

This function outputs 0 if the operation succeeded, 1 otherwise and then the
$k largest elements of the vector $v. $k must be less than or equal to the
length of the vector $v.

=item * gsl_sort_vector_largest_index($p, $k, $v)

This function outputs 0 if the operation succeeded, 1 otherwise and then the
indices of the $k largest elements of the vector $v. $p must be a prealocated
array reference. This should be removed in further versions. $k must be less
than or equal to the length of the vector $v.

=item * gsl_sort($data, $stride, $n)

This function returns an array reference to the sorted $n elements of the
array $data with stride $stride into ascending numerical order.

=item * gsl_sort_index($p, $data, $stride, $n)

This function indirectly sorts the $n elements of the array $data with stride
$stride into ascending order, outputting the permutation in the foram of an
array. $p must be a prealocated array reference. This should be removed in
further versions. The array $data is not changed.

=item * gsl_sort_smallest($array, $k, $data, $stride, $n)

This function outputs 0 if the operation succeeded, 1 otherwise and then the
$k smallest elements of the array $data, of size $n and stride $stride, in
ascending numerical. The size $k of the subset must be less than or equal to
$n. The data $src is not modified by this operation. $array must be a
prealocated array reference. This should be removed in further versions.

=item * gsl_sort_smallest_index($p, $k, $src, $stride, $n)

This function outputs 0 if the operation succeeded, 1 otherwise and then the
indices of the $k smallest elements of the array $src, of size $n and stride
$stride. The indices are chosen so that the corresponding data is in ascending
numerical order. $k must be less than or equal to $n. The data $src is not
modified by this operation. $p must be a prealocated array reference. This
should be removed in further versions.

=item * gsl_sort_largest($array, $k, $data, $stride, $n)

This function outputs 0 if the operation succeeded, 1 otherwise and then the
$k largest elements of the array $data, of size $n and stride $stride, in
ascending numerical. The size $k of the subset must be less than or equal to
$n. The data $src is not modified by this operation. $array must be a
prealocated array reference. This should be removed in further versions.

=item * gsl_sort_largest_index($p, $k, $src, $stride, $n)

This function outputs 0 if the operation succeeded, 1 otherwise and then the
indices of the $k largest elements of the array $src, of size $n and stride
$stride. The indices are chosen so that the corresponding data is in ascending
numerical order. $k must be less than or equal to $n. The data $src is not
modified by this operation. $p must be a prealocated array reference. This
should be removed in further versions.

=back

 Here is a complete list of all tags for this module :

=over

=item all

=item plain

=item vector

=back

For more information on the functions, we refer you to the GSL official
documentation: L<http://www.gnu.org/software/gsl/manual/html_node/>

=head1 PERFORMANCE

In the source code of Math::GSL, the file "examples/benchmark/sort" compares
the performance of gsl_sort() to Perl's builtin sort() function. Its first
argument is the number of iterations and the second is the size of the array
of numbers to sort. For example, to see a benchmark of 1000 iterations for
arrays of size 50000 you would type

    ./examples/benchmark/sort 1000 50000

Initial benchmarks indicate just slightly above a 2x performance increase
over sort() for arrays of between 5000 and 50000 elements. This may mostly
be due to the fact that gsl_sort() takes and returns a reference while sort()
takes and returns a plain list.

=head1 AUTHORS

Jonathan "Duke" Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>

=head1 COPYRIGHT AND LICENSE

Copyright (C) 2008-2024 Jonathan "Duke" Leto and Thierry Moisan

This program is free software; you can redistribute it and/or modify it
under the same terms as Perl itself.

=cut

%}