Matrix.i

   1 %module Matrix
   2 %{
   3     #include "/usr/local/include/gsl/gsl_matrix.h"
   4     #include "/usr/local/include/gsl/gsl_matrix_double.h"
   5     #include "/usr/local/include/gsl/gsl_matrix_int.h"
   6     #include "/usr/local/include/gsl/gsl_matrix_complex_double.h"
   7     #include "/usr/local/include/gsl/gsl_matrix_char.h"
   8 %}
   9
  10 %include "/usr/local/include/gsl/gsl_matrix.h"
  11 %include "/usr/local/include/gsl/gsl_matrix_double.h"
  12 %include "/usr/local/include/gsl/gsl_matrix_int.h"
  13 %include "/usr/local/include/gsl/gsl_matrix_complex_double.h"
  14 %include "/usr/local/include/gsl/gsl_matrix_char.h"
  15
  16 FILE *fopen(char *, char *);
  17 int fclose(FILE *);
  18
  19 %perlcode %{
  20
  21 @EXPORT_OK = qw/fopen fclose
  22         gsl_matrix_alloc gsl_matrix_calloc gsl_matrix_alloc_from_block
  23         gsl_matrix_alloc_from_matrix gsl_vector_alloc_row_from_matrix
  24         gsl_vector_alloc_col_from_matrix gsl_matrix_free gsl_matrix_submatrix
  25         gsl_matrix_row gsl_matrix_column gsl_matrix_diagonal
  26         gsl_matrix_subdiagonal gsl_matrix_superdiagonal gsl_matrix_subrow
  27         gsl_matrix_subcolumn gsl_matrix_view_array
  28         gsl_matrix_view_array_with_tda gsl_matrix_view_vector
  29         gsl_matrix_view_vector_with_tda gsl_matrix_const_submatrix
  30         gsl_matrix_const_row gsl_matrix_const_column gsl_matrix_const_diagonal
  31         gsl_matrix_const_subdiagonal gsl_matrix_const_superdiagonal
  32         gsl_matrix_const_subrow gsl_matrix_const_subcolumn
  33         gsl_matrix_const_view_array gsl_matrix_const_view_array_with_tda
  34         gsl_matrix_const_view_vector gsl_matrix_const_view_vector_with_tda
  35         gsl_matrix_get gsl_matrix_set gsl_matrix_ptr gsl_matrix_const_ptr
  36         gsl_matrix_set_zero gsl_matrix_set_identity gsl_matrix_set_all
  37         gsl_matrix_fread gsl_matrix_fwrite gsl_matrix_fscanf gsl_matrix_fprintf
  38         gsl_matrix_memcpy gsl_matrix_swap gsl_matrix_swap_rows
  39         gsl_matrix_swap_columns gsl_matrix_swap_rowcol gsl_matrix_transpose
  40         gsl_matrix_transpose_memcpy gsl_matrix_max gsl_matrix_min
  41         gsl_matrix_minmax gsl_matrix_max_index gsl_matrix_min_index
  42         gsl_matrix_minmax_index gsl_matrix_isnull gsl_matrix_ispos
  43         gsl_matrix_isneg gsl_matrix_isnonneg gsl_matrix_add gsl_matrix_sub
  44         gsl_matrix_mul_elements gsl_matrix_div_elements gsl_matrix_scale
  45         gsl_matrix_add_constant gsl_matrix_add_diagonal
  46         gsl_matrix_char_alloc gsl_matrix_char_calloc  gsl_matrix_char_alloc_from_block
  47         gsl_matrix_char_alloc_from_matrix gsl_vector_char_alloc_row_from_matrix gsl_vector_char_alloc_col_from_matrix
  48         gsl_matrix_char_free gsl_matrix_char_submatrix
  49         gsl_matrix_char_row  gsl_matrix_char_column
  50         gsl_matrix_char_diagonal gsl_matrix_char_subdiagonal gsl_matrix_char_superdiagonal
  51         gsl_matrix_char_subrow gsl_matrix_char_subcolumn gsl_matrix_char_view_array
  52         gsl_matrix_char_view_array_with_tda gsl_matrix_char_view_vector gsl_matrix_char_view_vector_with_tda
  53         gsl_matrix_char_const_submatrix gsl_matrix_char_const_row gsl_matrix_char_const_column
  54         gsl_matrix_char_const_diagonal gsl_matrix_char_const_subdiagonal gsl_matrix_char_const_superdiagonal
  55         gsl_matrix_char_const_subrow gsl_matrix_char_const_subcolumn gsl_matrix_char_const_view_array
  56         gsl_matrix_char_const_view_array_with_tda gsl_matrix_char_const_view_vector gsl_matrix_char_const_view_vector_with_tda
  57         gsl_matrix_char_get gsl_matrix_char_set gsl_matrix_char_ptr gsl_matrix_char_const_ptr
  58         gsl_matrix_char_set_zero gsl_matrix_char_set_identity
  59         gsl_matrix_char_set_all  gsl_matrix_char_fread
  60         gsl_matrix_char_fwrite gsl_matrix_char_fscanf gsl_matrix_char_fprintf
  61         gsl_matrix_char_memcpy gsl_matrix_char_swap
  62         gsl_matrix_char_swap_rows gsl_matrix_char_swap_columns
  63         gsl_matrix_char_swap_rowcol gsl_matrix_char_transpose gsl_matrix_char_transpose_memcpy
  64         gsl_matrix_char_max gsl_matrix_char_min
  65         gsl_matrix_char_minmax  gsl_matrix_char_max_index
  66         gsl_matrix_char_min_index gsl_matrix_char_minmax_index
  67         gsl_matrix_char_isnull gsl_matrix_char_ispos gsl_matrix_char_isneg
  68         gsl_matrix_char_isnonneg  gsl_matrix_char_add
  69         gsl_matrix_char_sub gsl_matrix_char_mul_elements gsl_matrix_char_div_elements
  70         gsl_matrix_char_scale gsl_matrix_char_add_constant gsl_matrix_char_add_diagonal
  71         gsl_matrix_int_alloc gsl_matrix_int_calloc gsl_matrix_int_alloc_from_block
  72         gsl_matrix_int_alloc_from_matrix gsl_vector_int_alloc_row_from_matrix gsl_vector_int_alloc_col_from_matrix
  73         gsl_matrix_int_free gsl_matrix_int_submatrix gsl_matrix_int_row
  74         gsl_matrix_int_column gsl_matrix_int_diagonal gsl_matrix_int_subdiagonal
  75         gsl_matrix_int_superdiagonal gsl_matrix_int_subrow gsl_matrix_int_subcolumn gsl_matrix_int_view_array
  76         gsl_matrix_int_view_array_with_tda gsl_matrix_int_view_vector gsl_matrix_int_view_vector_with_tda
  77         gsl_matrix_int_const_submatrix gsl_matrix_int_const_row gsl_matrix_int_const_column
  78         gsl_matrix_int_const_diagonal gsl_matrix_int_const_subdiagonal gsl_matrix_int_const_superdiagonal
  79         gsl_matrix_int_const_subrow gsl_matrix_int_const_subcolumn gsl_matrix_int_const_view_array
  80         gsl_matrix_int_const_view_array_with_tda gsl_matrix_int_const_view_vector gsl_matrix_int_const_view_vector_with_tda
  81         gsl_matrix_int_get gsl_matrix_int_set
  82         gsl_matrix_int_ptr gsl_matrix_int_const_ptr
  83         gsl_matrix_int_set_zero gsl_matrix_int_set_identity gsl_matrix_int_set_all
  84         gsl_matrix_int_fread gsl_matrix_int_fwrite
  85         gsl_matrix_int_fscanf gsl_matrix_int_fprintf
  86         gsl_matrix_int_memcpy gsl_matrix_int_swap
  87         gsl_matrix_int_swap_rows gsl_matrix_int_swap_columns gsl_matrix_int_swap_rowcol
  88         gsl_matrix_int_transpose gsl_matrix_int_transpose_memcpy
  89         gsl_matrix_int_max gsl_matrix_int_min gsl_matrix_int_minmax
  90         gsl_matrix_int_max_index gsl_matrix_int_min_index
  91         gsl_matrix_int_minmax_index  gsl_matrix_int_isnull
  92         gsl_matrix_int_ispos gsl_matrix_int_isneg gsl_matrix_int_isnonneg
  93         gsl_matrix_int_add gsl_matrix_int_sub
  94         gsl_matrix_int_mul_elements gsl_matrix_int_div_elements gsl_matrix_int_scale
  95         gsl_matrix_int_add_constant gsl_matrix_int_add_diagonal
  96 /;
  97 %EXPORT_TAGS = ( all => [ @EXPORT_OK ], char => [gsl_matrix_char_alloc, gsl_matrix_char_calloc, gsl_matrix_char_alloc_from_block, gsl_matrix_char_alloc_from_matrix, gsl_vector_char_alloc_row_from_matrix, gsl_vector_char_alloc_col_from_matrix, gsl_matrix_char_free, gsl_matrix_char_submatrix, gsl_matrix_char_row,  gsl_matrix_char_column, gsl_matrix_char_diagonal, gsl_matrix_char_subdiagonal, gsl_matrix_char_superdiagonal, gsl_matrix_char_subrow, gsl_matrix_char_subcolumn, gsl_matrix_char_view_array, gsl_matrix_char_view_array_with_tda, gsl_matrix_char_view_vector, gsl_matrix_char_view_vector_with_tda, gsl_matrix_char_const_submatrix, gsl_matrix_char_const_row, gsl_matrix_char_const_column, gsl_matrix_char_const_diagonal, gsl_matrix_char_const_subdiagonal, gsl_matrix_char_const_superdiagonal, gsl_matrix_char_const_subrow, gsl_matrix_char_const_subcolumn, gsl_matrix_char_const_view_array, gsl_matrix_char_const_view_array_with_tda, gsl_matrix_char_const_view_vector, gsl_matrix_char_const_view_vector_with_tda, gsl_matrix_char_get, gsl_matrix_char_set, gsl_matrix_char_ptr, gsl_matrix_char_const_ptr, gsl_matrix_char_set_zero, gsl_matrix_char_set_identity, gsl_matrix_char_set_all,  gsl_matrix_char_fread, gsl_matrix_char_fwrite, gsl_matrix_char_fscanf, gsl_matrix_char_fprintf, gsl_matrix_char_memcpy, gsl_matrix_char_swap, gsl_matrix_char_swap_rows, gsl_matrix_char_swap_columns, gsl_matrix_char_swap_rowcol, gsl_matrix_char_transpose, gsl_matrix_char_transpose_memcpy, gsl_matrix_char_max, gsl_matrix_char_min, gsl_matrix_char_minmax,  gsl_matrix_char_max_index, gsl_matrix_char_min_index, gsl_matrix_char_minmax_index, gsl_matrix_char_isnull, gsl_matrix_char_ispos, gsl_matrix_char_isneg, gsl_matrix_char_isnonneg, gsl_matrix_char_add, gsl_matrix_char_sub, gsl_matrix_char_mul_elements, gsl_matrix_char_div_elements, gsl_matrix_char_scale, gsl_matrix_char_add_constant, gsl_matrix_char_add_diagonal], double => [ gsl_matrix_alloc, gsl_matrix_calloc, gsl_matrix_alloc_from_block, gsl_matrix_alloc_from_matrix, gsl_vector_alloc_row_from_matrix, gsl_vector_alloc_col_from_matrix, gsl_matrix_free, gsl_matrix_submatrix, gsl_matrix_row, gsl_matrix_column, gsl_matrix_diagonal, gsl_matrix_subdiagonal, gsl_matrix_superdiagonal, gsl_matrix_subrow, gsl_matrix_subcolumn, gsl_matrix_view_array, gsl_matrix_view_array_with_tda, gsl_matrix_view_vector, gsl_matrix_view_vector_with_tda, gsl_matrix_const_submatrix, gsl_matrix_const_row, gsl_matrix_const_column, gsl_matrix_const_diagonal, gsl_matrix_const_subdiagonal, gsl_matrix_const_superdiagonal, gsl_matrix_const_subrow, gsl_matrix_const_subcolumn, gsl_matrix_const_view_array, gsl_matrix_const_view_array_with_tda, gsl_matrix_const_view_vector, gsl_matrix_const_view_vector_with_tda, gsl_matrix_get, gsl_matrix_set, gsl_matrix_ptr, gsl_matrix_const_ptr, gsl_matrix_set_zero, gsl_matrix_set_identity, gsl_matrix_set_all, gsl_matrix_fread, gsl_matrix_fwrite, gsl_matrix_fscanf, gsl_matrix_fprintf, gsl_matrix_memcpy, gsl_matrix_swap, gsl_matrix_swap_rows, gsl_matrix_swap_columns, gsl_matrix_swap_rowcol, gsl_matrix_transpose, gsl_matrix_transpose_memcpy, gsl_matrix_max, gsl_matrix_minmax, gsl_matrix_max_index, gsl_matrix_min_index, gsl_matrix_minmax_index, gsl_matrix_isnull, gsl_matrix_ispos, gsl_matrix_isneg, gsl_matrix_isnonneg, gsl_matrix_add, gsl_matrix_mul_elements, gsl_matrix_div_elements, gsl_matrix_scale, gsl_matrix_add_constant, gsl_matrix_add_diagonal], int => [gsl_matrix_int_alloc, gsl_matrix_int_alloc_from_matrix, gsl_matrix_int_free, gsl_matrix_int_column, gsl_matrix_int_superdiagonal, gsl_matrix_int_view_array_with_tda, gsl_matrix_int_const_submatrix, gsl_matrix_int_const_diagonal, gsl_matrix_int_const_subrow, gsl_matrix_int_const_view_array_with_tda, gsl_matrix_int_get, gsl_matrix_int_ptr, gsl_matrix_int_set_zero, gsl_matrix_int_fread, gsl_matrix_int_fscanf, gsl_matrix_int_memcpy, gsl_matrix_int_swap_rows, gsl_matrix_int_transpose, gsl_matrix_int_max, gsl_matrix_int_max_index, gsl_matrix_int_minmax_index, gsl_matrix_int_ispos, gsl_matrix_int_add, gsl_matrix_int_mul_elements, gsl_matrix_int_add_constant]);
  98
  99 __END__
 100
 101 =head1 NAME
 102
 103 Math::GSL::Matrix
 104 Mathematical functions concerning Matrices
 105
 106 =head1 SYPNOPSIS
 107
 108 use Math::GSL::Matrix qw/:all/;
 109
 110 =head1 DESCRIPTION
 111
 112 Here is a list of all the functions included in this module :
 113
 114 gsl_matrix_alloc gsl_matrix_calloc gsl_matrix_alloc_from_block
 115 gsl_matrix_alloc_from_matrix gsl_vector_alloc_row_from_matrix
 116 gsl_vector_alloc_col_from_matrix gsl_matrix_free gsl_matrix_submatrix
 117 gsl_matrix_row gsl_matrix_column gsl_matrix_diagonal
 118 gsl_matrix_subdiagonal gsl_matrix_superdiagonal gsl_matrix_subrow
 119 gsl_matrix_subcolumn gsl_matrix_view_array
 120 gsl_matrix_view_array_with_tda gsl_matrix_view_vector
 121 gsl_matrix_view_vector_with_tda gsl_matrix_const_submatrix
 122 gsl_matrix_const_row gsl_matrix_const_column gsl_matrix_const_diagonal
 123 gsl_matrix_const_subdiagonal gsl_matrix_const_superdiagonal
 124 gsl_matrix_const_subrow gsl_matrix_const_subcolumn
 125 gsl_matrix_const_view_array gsl_matrix_const_view_array_with_tda
 126 gsl_matrix_const_view_vector gsl_matrix_const_view_vector_with_tda
 127 gsl_matrix_get gsl_matrix_set gsl_matrix_ptr gsl_matrix_const_ptr
 128 gsl_matrix_set_zero gsl_matrix_set_identity gsl_matrix_set_all
 129 gsl_matrix_fread gsl_matrix_fwrite gsl_matrix_fscanf gsl_matrix_fprintf
 130 gsl_matrix_memcpy gsl_matrix_swap gsl_matrix_swap_rows
 131 gsl_matrix_swap_columns gsl_matrix_swap_rowcol gsl_matrix_transpose
 132 gsl_matrix_transpose_memcpy gsl_matrix_max gsl_matrix_min
 133 gsl_matrix_minmax gsl_matrix_max_index gsl_matrix_min_index
 134 gsl_matrix_minmax_index gsl_matrix_isnull gsl_matrix_ispos
 135 gsl_matrix_isneg gsl_matrix_isnonneg gsl_matrix_add gsl_matrix_sub
 136 gsl_matrix_mul_elements gsl_matrix_div_elements gsl_matrix_scale
 137 gsl_matrix_add_constant gsl_matrix_add_diagonal
 138 gsl_matrix_char_alloc gsl_matrix_char_calloc  gsl_matrix_char_alloc_from_block
 139 gsl_matrix_char_alloc_from_matrix gsl_vector_char_alloc_row_from_matrix gsl_vector_char_alloc_col_from_matrix
 140 gsl_matrix_char_free gsl_matrix_char_submatrix
 141 gsl_matrix_char_row  gsl_matrix_char_column
 142 gsl_matrix_char_diagonal gsl_matrix_char_subdiagonal gsl_matrix_char_superdiagonal
 143 gsl_matrix_char_subrow gsl_matrix_char_subcolumn gsl_matrix_char_view_array
 144 gsl_matrix_char_view_array_with_tda gsl_matrix_char_view_vector gsl_matrix_char_view_vector_with_tda
 145 gsl_matrix_char_const_submatrix gsl_matrix_char_const_row gsl_matrix_char_const_column
 146 gsl_matrix_char_const_diagonal gsl_matrix_char_const_subdiagonal gsl_matrix_char_const_superdiagonal
 147 gsl_matrix_char_const_subrow gsl_matrix_char_const_subcolumn gsl_matrix_char_const_view_array
 148 gsl_matrix_char_const_view_array_with_tda gsl_matrix_char_const_view_vector gsl_matrix_char_const_view_vector_with_tda
 149 gsl_matrix_char_get gsl_matrix_char_set gsl_matrix_char_ptr gsl_matrix_char_const_ptr
 150 gsl_matrix_char_set_zero gsl_matrix_char_set_identity
 151 gsl_matrix_char_set_all  gsl_matrix_char_fread
 152 gsl_matrix_char_fwrite gsl_matrix_char_fscanf gsl_matrix_char_fprintf
 153 gsl_matrix_char_memcpy gsl_matrix_char_swap
 154 gsl_matrix_char_swap_rows gsl_matrix_char_swap_columns
 155 gsl_matrix_char_swap_rowcol gsl_matrix_char_transpose gsl_matrix_char_transpose_memcpy
 156 gsl_matrix_char_max gsl_matrix_char_min
 157 gsl_matrix_char_minmax  gsl_matrix_char_max_index
 158 gsl_matrix_char_min_index gsl_matrix_char_minmax_index
 159 gsl_matrix_char_isnull gsl_matrix_char_ispos gsl_matrix_char_isneg
 160 gsl_matrix_char_isnonneg  gsl_matrix_char_add
 161 gsl_matrix_char_sub gsl_matrix_char_mul_elements gsl_matrix_char_div_elements
 162 gsl_matrix_char_scale gsl_matrix_char_add_constant gsl_matrix_char_add_diagonal
 163 gsl_matrix_int_alloc gsl_matrix_int_calloc gsl_matrix_int_alloc_from_block
 164 gsl_matrix_int_alloc_from_matrix gsl_vector_int_alloc_row_from_matrix gsl_vector_int_alloc_col_from_matrix
 165 gsl_matrix_int_free gsl_matrix_int_submatrix gsl_matrix_int_row
 166 gsl_matrix_int_column gsl_matrix_int_diagonal gsl_matrix_int_subdiagonal
 167 gsl_matrix_int_superdiagonal gsl_matrix_int_subrow gsl_matrix_int_subcolumn gsl_matrix_int_view_array
 168 gsl_matrix_int_view_array_with_tda gsl_matrix_int_view_vector gsl_matrix_int_view_vector_with_tda
 169 gsl_matrix_int_const_submatrix gsl_matrix_int_const_row gsl_matrix_int_const_column
 170 gsl_matrix_int_const_diagonal gsl_matrix_int_const_subdiagonal gsl_matrix_int_const_superdiagonal
 171 gsl_matrix_int_const_subrow gsl_matrix_int_const_subcolumn gsl_matrix_int_const_view_array
 172 gsl_matrix_int_const_view_array_with_tda gsl_matrix_int_const_view_vector gsl_matrix_int_const_view_vector_with_tda
 173 gsl_matrix_int_get gsl_matrix_int_set
 174 gsl_matrix_int_ptr gsl_matrix_int_const_ptr
 175 gsl_matrix_int_set_zero gsl_matrix_int_set_identity gsl_matrix_int_set_all
 176 gsl_matrix_int_fread gsl_matrix_int_fwrite
 177 gsl_matrix_int_fscanf gsl_matrix_int_fprintf
 178 gsl_matrix_int_memcpy gsl_matrix_int_swap
 179 gsl_matrix_int_swap_rows gsl_matrix_int_swap_columns gsl_matrix_int_swap_rowcol
 180 gsl_matrix_int_transpose gsl_matrix_int_transpose_memcpy
 181 gsl_matrix_int_max gsl_matrix_int_min gsl_matrix_int_minmax
 182 gsl_matrix_int_max_index gsl_matrix_int_min_index
 183 gsl_matrix_int_minmax_index  gsl_matrix_int_isnull
 184 gsl_matrix_int_ispos gsl_matrix_int_isneg gsl_matrix_int_isnonneg
 185 gsl_matrix_int_add gsl_matrix_int_sub
 186 gsl_matrix_int_mul_elements gsl_matrix_int_div_elements gsl_matrix_int_scale
 187 gsl_matrix_int_add_constant gsl_matrix_int_add_diagonal
 188
 189 You have to add the functions you want to use inside the qw /put_funtion_here /. You can also write use Math::GSL::PowInt qw/:name_of_tag/ to use all avaible functions of the module. Other tags are also avaible, here is a complete list of all tags for this module :
 190
 191 all
 192 int
 193 double
 194 char
 195
 196 For more informations on the functions, we refer you to the GSL offcial documentation: http://www.gnu.org/software/gsl/manual/html_node/
 197 Tip : search on google: site:http://www.gnu.org/software/gsl/manual/html_node/name_of_the_function_you_want
 198
 199 =head1 EXAMPLES
 200
 201 Most of the examples from this section are perl versions of the examples there : http://www.gnu.org/software/gsl/manual/html_node/Example-programs-for-matrices.html
 202
 203
 204 The program below shows how to allocate, initialize and read from a matrix using the functions gsl_matrix_alloc, gsl_matrix_set and gsl_matrix_get.
 205
 206 use Math::GSL::Matrix qw/:all/;
 207 $m = gsl_matrix_alloc (10,3);
 208 for($i = 0; $i< 10; $i++){
 209     for($j = 0; $j<3; $j++){
 210         gsl_matrix_set($m, $i, $j, 0.23 + 100*$i + $j);
 211     }
 212 }
 213 for($i = 0; $i< 100; $i++){ # OUT OF RANGE ERROR
 214     for($j=0; $j<3; $j++){
 215         print "m($i, $j) = " . gsl_matrix_get ($m, $i, $j) . "\n";
 216     }
 217 }
 218 gsl_matrix_free ($m);
 219
 220
 221 use Math::GSL::Matrix qw/:all/;
 222
 223 $m = gsl_matrix_alloc (100, 100);
 224 $a = gsl_matrix_alloc (100, 100);
 225
 226 for($i = 0; $i < 100; $i++){
 227     for($j = 0; $j < 100; $j++){
 228         gsl_matrix_set ($m, $i, $j, 0.23 + $i + $j);
 229     }
 230 }
 231
 232 The next program shows how to write a matrix to a file.
 233
 234 $out = fopen("test.dat", "wb");
 235 gsl_matrix_fwrite ($out, $m);
 236 fclose ($out);
 237
 238 $in = fopen("test.dat", "rb");
 239 gsl_matrix_fread ($in, $a);
 240 fclose($in);
 241
 242 $k=0;
 243 for($i = 0; $i < 100; $i++){
 244     for($j = 0; $j < 100; $j++){
 245         $mij = gsl_matrix_get ($m, $i, $j);
 246         $aij = gsl_matrix_get ($a, $i, $j);
 247         if ($mij != $aij){ $k++ };
 248     }
 249 }
 250
 251 gsl_matrix_free($m);
 252 gsl_matrix_free($a);
 253
 254 print "differences = $k (should be zero)\n";
 255
 256 =head1 AUTHOR
 257
 258 Jonathan Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
 259
 260 =head1 COPYRIGHT AND LICENSE
 261
 262 Copyright (C) 2008 Jonathan Leto and Thierry Moisan
 263
 264 This program is free software; you can redistribute it and/or modify it
 265 under the same terms as Perl itself.
 266
 267 =cut
 268 %}