NAME

       Math::GSL::Combination - Combinations

SYNOPSIS

           use Math::GSL qw/:all/;
           use Math::GSL::Combination qw/:all/;

           my $c   = Math::GSL::Combination->new(6,3);
           print join (" ", $c->as_list) . "\n";
           $c->next;
           print join (" ", $c->as_list) . "\n";

           my $fd = gsl_fopen('combination.dat', 'w');
           gsl_combination_fwrite($fd, $c->raw);
           gsl_fclose($fd);

DESCRIPTION

       Here is a list of all the functions in this module :

       •   "gsl_combination_alloc($n, $k)"

           This function allocates memory for a new combination with parameters $n, $k.  The
           combination is not initialized and its elements are undefined. Use the function
           gsl_combination_calloc if you want to create a combination which is initialized to the
           lexicographically first combination.

       •   "gsl_combination_calloc($n, $k)"

           This function allocates memory for a new combination with parameters $n, $k and
           initializes it to the lexicographically first combination.

       •   "gsl_combination_init_first($c)"

           This function initializes the combination $c to the lexicographically first
           combination, i.e. (0,1,2,...,k-1).

       •   "gsl_combination_init_last($c)"

           This function initializes the combination $c to the lexicographically last
           combination, i.e. (n-k,n-k+1,...,n-1).

       •   "gsl_combination_free($c)"

           This function frees all the memory used by the combination $c.

       •   "gsl_combination_memcpy($dest, $src)"

           This function copies the elements of the combination $src into the combination $dest.
           The two combinations must have the same size.

       •   "gsl_combination_get($c, $i)"

           This function returns the value of the i-th element of the combination $c. If $i lies
           outside the allowed range of 0 to k-1 then the error handler is invoked and 0 is
           returned.

       •   "gsl_combination_fwrite($stream, $c)"

           This function writes the elements of the combination $c to the stream $stream, opened
           with the gsl_fopen function from the Math::GSL module, in binary format.  The function
           returns $GSL_EFAILED if there was a problem writing to the file.  Since the data is
           written in the native binary format it may not be portable between different
           architectures.

       •   "gsl_combination_fread($stream, $c)"

           This function reads elements from the open stream $stream, opened with the gsl_fopen
           function from the Math::GSL module, into the combination $c in binary format. The
           combination $c must be preallocated with correct values of n and k since the function
           uses the size of $c to determine how many bytes to read. The function returns
           $GSL_EFAILED if there was a problem reading from the file. The data is assumed to have
           been written in the native binary format on the same architecture.

       •   "gsl_combination_fprintf($stream, $c, $format)"

           This function writes the elements of the combination $c line-by-line to the stream
           $stream, opened with the gsl_fopen function from the Math::GSL module, using the
           format specifier $format, which should be suitable for a type of size_t. In ISO C99
           the type modifier z represents size_t, so "%zu\n" is a suitable format. The function
           returns $GSL_EFAILED if there was a problem writing to the file.

       •   "gsl_combination_fscanf($stream, $c)"

           This function reads formatted data from the stream $stream into the combination $c.
           The combination $c must be preallocated with correct values of n and k since the
           function uses the size of $c to determine how many numbers to read.  The function
           returns $GSL_EFAILED if there was a problem reading from the file.

       •   "gsl_combination_n($c)"

           This function returns the range (n) of the combination $c.

       •   "gsl_combination_k($c)"

           This function returns the number of elements (k) in the combination $c.

       •   "gsl_combination_data($c)"

           This function returns a pointer to the array of elements in the combination $c.

       •   "gsl_combination_valid($c)"

           This function checks that the combination $c is valid. The k elements should lie in
           the range 0 to n-1, with each value occurring once at most and in increasing order.

       •   "gsl_combination_next($c)"

           This function advances the combination $c to the next combination in lexicographic
           order and returns $GSL_SUCCESS. If no further combinations are available it returns
           $GSL_FAILURE and leaves $c unmodified. Starting with the first combination and
           repeatedly applying this function will iterate through all possible combinations of a
           given order.

       •   "gsl_combination_prev($c)"

           This function steps backwards from the combination $c to the previous combination in
           lexicographic order, returning $GSL_SUCCESS. If no previous combination is available
           it returns $GSL_FAILURE and leaves $c unmodified.

MORE INFO

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

AUTHORS

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

COPYRIGHT AND LICENSE

       Copyright (C) 2008-2021 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.