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| 1 |  |  |  |  |  |  | =head1 NAME | 
| 2 |  |  |  |  |  |  |  | 
| 3 |  |  |  |  |  |  | Array::Heap - treat perl arrays as binary heaps/priority queues | 
| 4 |  |  |  |  |  |  |  | 
| 5 |  |  |  |  |  |  | =head1 SYNOPSIS | 
| 6 |  |  |  |  |  |  |  | 
| 7 |  |  |  |  |  |  | use Array::Heap; | 
| 8 |  |  |  |  |  |  |  | 
| 9 |  |  |  |  |  |  | =head1 DESCRIPTION | 
| 10 |  |  |  |  |  |  |  | 
| 11 |  |  |  |  |  |  | There are a multitude of heap and heap-like modules on CPAN, you might | 
| 12 |  |  |  |  |  |  | want to search for /Heap/ and /Priority/ to find many. They implement more | 
| 13 |  |  |  |  |  |  | or less fancy datastructures that might well be what you are looking for. | 
| 14 |  |  |  |  |  |  |  | 
| 15 |  |  |  |  |  |  | This module takes a different approach: It exports functions (i.e. no | 
| 16 |  |  |  |  |  |  | object orientation) that are loosely modeled after the C++ STL's binary | 
| 17 |  |  |  |  |  |  | heap functions. They all take an array as argument, just like perl's | 
| 18 |  |  |  |  |  |  | built-in functions C, C etc. | 
| 19 |  |  |  |  |  |  |  | 
| 20 |  |  |  |  |  |  | The implementation itself is in C for maximum speed. | 
| 21 |  |  |  |  |  |  |  | 
| 22 |  |  |  |  |  |  | =head1 FUNCTIONS | 
| 23 |  |  |  |  |  |  |  | 
| 24 |  |  |  |  |  |  | All of the following functions are being exported by default. | 
| 25 |  |  |  |  |  |  |  | 
| 26 |  |  |  |  |  |  | =over 4 | 
| 27 |  |  |  |  |  |  |  | 
| 28 |  |  |  |  |  |  | =cut | 
| 29 |  |  |  |  |  |  |  | 
| 30 |  |  |  |  |  |  | package Array::Heap; | 
| 31 |  |  |  |  |  |  |  | 
| 32 |  |  |  |  |  |  | BEGIN { | 
| 33 | 4 |  |  | 4 |  | 2140 | $VERSION = 3.22; | 
| 34 |  |  |  |  |  |  |  | 
| 35 | 4 |  |  |  |  | 20 | require XSLoader; | 
| 36 | 4 |  |  |  |  | 1936 | XSLoader::load ("Array::Heap", $VERSION); | 
| 37 |  |  |  |  |  |  | } | 
| 38 |  |  |  |  |  |  |  | 
| 39 | 4 |  |  | 4 |  | 26 | use base Exporter; | 
|  | 4 |  |  |  |  | 5 |  | 
|  | 4 |  |  |  |  | 664 |  | 
| 40 |  |  |  |  |  |  |  | 
| 41 |  |  |  |  |  |  | @EXPORT = qw( | 
| 42 |  |  |  |  |  |  | make_heap   make_heap_lex   make_heap_cmp   make_heap_idx | 
| 43 |  |  |  |  |  |  | push_heap   push_heap_lex   push_heap_cmp   push_heap_idx | 
| 44 |  |  |  |  |  |  | pop_heap    pop_heap_lex    pop_heap_cmp    pop_heap_idx | 
| 45 |  |  |  |  |  |  | splice_heap splice_heap_lex splice_heap_cmp splice_heap_idx | 
| 46 |  |  |  |  |  |  | adjust_heap adjust_heap_lex adjust_heap_cmp adjust_heap_idx | 
| 47 |  |  |  |  |  |  | ); | 
| 48 |  |  |  |  |  |  |  | 
| 49 |  |  |  |  |  |  | =item make_heap @heap                                   (\@) | 
| 50 |  |  |  |  |  |  |  | 
| 51 |  |  |  |  |  |  | Reorders the elements in the array so they form a heap, with the lowest | 
| 52 |  |  |  |  |  |  | value "on top" of the heap (corresponding to the first array element). | 
| 53 |  |  |  |  |  |  |  | 
| 54 |  |  |  |  |  |  | =item make_heap_idx @heap                               (\@) | 
| 55 |  |  |  |  |  |  |  | 
| 56 |  |  |  |  |  |  | Just like C, but updates the index (see INDEXED OPERATIONS). | 
| 57 |  |  |  |  |  |  |  | 
| 58 |  |  |  |  |  |  | =item make_heap_lex @heap                               (\@) | 
| 59 |  |  |  |  |  |  |  | 
| 60 |  |  |  |  |  |  | Just like C, but in string comparison order instead of numerical | 
| 61 |  |  |  |  |  |  | comparison order. | 
| 62 |  |  |  |  |  |  |  | 
| 63 |  |  |  |  |  |  | =item make_heap_cmp { compare } @heap                   (&\@) | 
| 64 |  |  |  |  |  |  |  | 
| 65 |  |  |  |  |  |  | Just like C, but takes a custom comparison function. | 
| 66 |  |  |  |  |  |  |  | 
| 67 |  |  |  |  |  |  | =item push_heap @heap, $element, ...                    (\@@) | 
| 68 |  |  |  |  |  |  |  | 
| 69 |  |  |  |  |  |  | Adds the given element(s) to the heap. | 
| 70 |  |  |  |  |  |  |  | 
| 71 |  |  |  |  |  |  | =item push_heap_idx @heap, $element, ...                (\@@) | 
| 72 |  |  |  |  |  |  |  | 
| 73 |  |  |  |  |  |  | Just like C,  but updates the index (see INDEXED OPERATIONS). | 
| 74 |  |  |  |  |  |  |  | 
| 75 |  |  |  |  |  |  | =item push_heap_lex @heap, $element, ...                (\@@) | 
| 76 |  |  |  |  |  |  |  | 
| 77 |  |  |  |  |  |  | Just like C, but in string comparison order instead of numerical | 
| 78 |  |  |  |  |  |  | comparison order. | 
| 79 |  |  |  |  |  |  |  | 
| 80 |  |  |  |  |  |  | =item push_heap_cmp { compare } @heap, $element, ...    (&\@@) | 
| 81 |  |  |  |  |  |  |  | 
| 82 |  |  |  |  |  |  | Just like C, but takes a custom comparison function. | 
| 83 |  |  |  |  |  |  |  | 
| 84 |  |  |  |  |  |  | =item pop_heap @heap                                    (\@) | 
| 85 |  |  |  |  |  |  |  | 
| 86 |  |  |  |  |  |  | Removes the topmost (lowest) heap element and repairs the heap. | 
| 87 |  |  |  |  |  |  |  | 
| 88 |  |  |  |  |  |  | =item pop_heap_idx @heap                                (\@) | 
| 89 |  |  |  |  |  |  |  | 
| 90 |  |  |  |  |  |  | Just like C, but updates the index (see INDEXED OPERATIONS). | 
| 91 |  |  |  |  |  |  |  | 
| 92 |  |  |  |  |  |  | =item pop_heap_lex @heap                                (\@) | 
| 93 |  |  |  |  |  |  |  | 
| 94 |  |  |  |  |  |  | Just like C, but in string comparison order instead of numerical | 
| 95 |  |  |  |  |  |  | comparison order. | 
| 96 |  |  |  |  |  |  |  | 
| 97 |  |  |  |  |  |  | =item pop_heap_cmp { compare } @heap                    (&\@) | 
| 98 |  |  |  |  |  |  |  | 
| 99 |  |  |  |  |  |  | Just like C, but takes a custom comparison function. | 
| 100 |  |  |  |  |  |  |  | 
| 101 |  |  |  |  |  |  | =item splice_heap @heap, $index                         (\@$) | 
| 102 |  |  |  |  |  |  |  | 
| 103 |  |  |  |  |  |  | Similar to C, but removes and returns the element at index | 
| 104 |  |  |  |  |  |  | C<$index>. | 
| 105 |  |  |  |  |  |  |  | 
| 106 |  |  |  |  |  |  | =item splice_heap_idx @heap, $index                     (\@$) | 
| 107 |  |  |  |  |  |  |  | 
| 108 |  |  |  |  |  |  | Just like C, but updates the index (see INDEXED OPERATIONS). | 
| 109 |  |  |  |  |  |  |  | 
| 110 |  |  |  |  |  |  | =item splice_heap_lex @heap, $index                     (\@$) | 
| 111 |  |  |  |  |  |  |  | 
| 112 |  |  |  |  |  |  | Just like C, but in string comparison order instead of | 
| 113 |  |  |  |  |  |  | numerical comparison order. | 
| 114 |  |  |  |  |  |  |  | 
| 115 |  |  |  |  |  |  | =item splice_heap_cmp { compare } @heap, $index         (&\@$) | 
| 116 |  |  |  |  |  |  |  | 
| 117 |  |  |  |  |  |  | Just like C, but takes a custom comparison function. | 
| 118 |  |  |  |  |  |  |  | 
| 119 |  |  |  |  |  |  | =item adjust_heap @heap, $index                         (\@$) | 
| 120 |  |  |  |  |  |  |  | 
| 121 |  |  |  |  |  |  | Assuming you have only changed the element at index C<$index>, repair the | 
| 122 |  |  |  |  |  |  | heap again. Can be used to remove elements, replace elements, adjust the | 
| 123 |  |  |  |  |  |  | priority of elements and more. | 
| 124 |  |  |  |  |  |  |  | 
| 125 |  |  |  |  |  |  | =item adjust_heap_idx @heap, $index                     (\@$) | 
| 126 |  |  |  |  |  |  |  | 
| 127 |  |  |  |  |  |  | Just like C, but updates the index (see INDEXED OPERATIONS). | 
| 128 |  |  |  |  |  |  |  | 
| 129 |  |  |  |  |  |  | =item adjust_heap_lex @heap, $index                     (\@$) | 
| 130 |  |  |  |  |  |  |  | 
| 131 |  |  |  |  |  |  | Just like C, but in string comparison order instead of | 
| 132 |  |  |  |  |  |  | numerical comparison order. | 
| 133 |  |  |  |  |  |  |  | 
| 134 |  |  |  |  |  |  | =item adjust_heap_cmp { compare } @heap, $index         (&\@$) | 
| 135 |  |  |  |  |  |  |  | 
| 136 |  |  |  |  |  |  | Just like C, but takes a custom comparison function. | 
| 137 |  |  |  |  |  |  |  | 
| 138 |  |  |  |  |  |  | =cut | 
| 139 |  |  |  |  |  |  |  | 
| 140 |  |  |  |  |  |  | 1; | 
| 141 |  |  |  |  |  |  |  | 
| 142 |  |  |  |  |  |  | =back | 
| 143 |  |  |  |  |  |  |  | 
| 144 |  |  |  |  |  |  | =head2 COMPARISON FUNCTIONS | 
| 145 |  |  |  |  |  |  |  | 
| 146 |  |  |  |  |  |  | All the functions come in two flavours: one that uses the built-in | 
| 147 |  |  |  |  |  |  | comparison function and one that uses a custom comparison function. | 
| 148 |  |  |  |  |  |  |  | 
| 149 |  |  |  |  |  |  | The built-in comparison function can either compare scalar numerical | 
| 150 |  |  |  |  |  |  | values (string values for *_lex functions), or array refs. If the elements | 
| 151 |  |  |  |  |  |  | to compare are array refs, the first element of the array is used for | 
| 152 |  |  |  |  |  |  | comparison, i.e. | 
| 153 |  |  |  |  |  |  |  | 
| 154 |  |  |  |  |  |  | 1, 4, 6 | 
| 155 |  |  |  |  |  |  |  | 
| 156 |  |  |  |  |  |  | will be sorted according to their numerical value, | 
| 157 |  |  |  |  |  |  |  | 
| 158 |  |  |  |  |  |  | [1 => $obj1], [2 => $obj2], [3 => $obj3] | 
| 159 |  |  |  |  |  |  |  | 
| 160 |  |  |  |  |  |  | will sort according to the first element of the arrays, i.e. C<1,2,3>. | 
| 161 |  |  |  |  |  |  |  | 
| 162 |  |  |  |  |  |  | The custom comparison functions work similar to how C works: C<$a> | 
| 163 |  |  |  |  |  |  | and C<$b> are set to the elements to be compared, and the result should be | 
| 164 |  |  |  |  |  |  | greater than zero then $a is greater than $b, C<0> otherwise. This means | 
| 165 |  |  |  |  |  |  | that you can use the same function as for sorting the array, but you could | 
| 166 |  |  |  |  |  |  | also use a simpler function that just does C<< $a > $b >>. | 
| 167 |  |  |  |  |  |  |  | 
| 168 |  |  |  |  |  |  | The first example above corresponds to this comparison "function": | 
| 169 |  |  |  |  |  |  |  | 
| 170 |  |  |  |  |  |  | { $a <=> $b } | 
| 171 |  |  |  |  |  |  |  | 
| 172 |  |  |  |  |  |  | And the second example corresponds to this: | 
| 173 |  |  |  |  |  |  |  | 
| 174 |  |  |  |  |  |  | { $a->[0] <=> $b->[0] } | 
| 175 |  |  |  |  |  |  |  | 
| 176 |  |  |  |  |  |  | Unlike C, the default sort is numerical and it is not possible to | 
| 177 |  |  |  |  |  |  | use normal subroutines. | 
| 178 |  |  |  |  |  |  |  | 
| 179 |  |  |  |  |  |  | =head2 INDEXED OPERATIONS | 
| 180 |  |  |  |  |  |  |  | 
| 181 |  |  |  |  |  |  | The functions whose names end in C<_idx> also "update the index". That | 
| 182 |  |  |  |  |  |  | means that all elements must be array refs, with the first element being | 
| 183 |  |  |  |  |  |  | the heap value, and the second value being the array index: | 
| 184 |  |  |  |  |  |  |  | 
| 185 |  |  |  |  |  |  | [$value, $index, ...] | 
| 186 |  |  |  |  |  |  |  | 
| 187 |  |  |  |  |  |  | This allows you to quickly locate an element in the array when all you | 
| 188 |  |  |  |  |  |  | have is the array reference. | 
| 189 |  |  |  |  |  |  |  | 
| 190 |  |  |  |  |  |  | =head1 BUGS | 
| 191 |  |  |  |  |  |  |  | 
| 192 |  |  |  |  |  |  | =over 4 | 
| 193 |  |  |  |  |  |  |  | 
| 194 |  |  |  |  |  |  | =item * Numerical comparison is always done using floatingpoint, which | 
| 195 |  |  |  |  |  |  | usually has less precision than a 64 bit integer that perl might use | 
| 196 |  |  |  |  |  |  | for integers internally, resulting in precision loss on the built-in | 
| 197 |  |  |  |  |  |  | comparison. | 
| 198 |  |  |  |  |  |  |  | 
| 199 |  |  |  |  |  |  | =item * This module does not work with tied or magical arrays or array | 
| 200 |  |  |  |  |  |  | elements, and, in fact, will even crash when you use those. | 
| 201 |  |  |  |  |  |  |  | 
| 202 |  |  |  |  |  |  | =item * This module can leak memory (or worse) when your comparison | 
| 203 |  |  |  |  |  |  | function exits unexpectedly (e.g. C) or throws an exception, so do | 
| 204 |  |  |  |  |  |  | not do that. | 
| 205 |  |  |  |  |  |  |  | 
| 206 |  |  |  |  |  |  | =back | 
| 207 |  |  |  |  |  |  |  | 
| 208 |  |  |  |  |  |  | =head1 SEE ALSO | 
| 209 |  |  |  |  |  |  |  | 
| 210 |  |  |  |  |  |  | This module has a rather low-level interface. If it seems daunting, you | 
| 211 |  |  |  |  |  |  | should have a look at L, which is | 
| 212 |  |  |  |  |  |  | based on this module but provides more and higher-level operations with an | 
| 213 |  |  |  |  |  |  | object-oriented API which makes it harder to make mistakes. | 
| 214 |  |  |  |  |  |  |  | 
| 215 |  |  |  |  |  |  | A slightly less flexible (only numeric weights), but also | 
| 216 |  |  |  |  |  |  | slightly faster variant of that module can be found as | 
| 217 |  |  |  |  |  |  | L on CPAN. | 
| 218 |  |  |  |  |  |  |  | 
| 219 |  |  |  |  |  |  | =head1 AUTHOR AND CONTACT INFORMATION | 
| 220 |  |  |  |  |  |  |  | 
| 221 |  |  |  |  |  |  | Marc Lehmann | 
| 222 |  |  |  |  |  |  | http://software.schmorp.de/pkg/Array-Heap | 
| 223 |  |  |  |  |  |  |  | 
| 224 |  |  |  |  |  |  | =cut | 
| 225 |  |  |  |  |  |  |  |