NAME
   Array::Heap - treat perl arrays as binary heaps/priority queues

SYNOPSIS
    use Array::Heap;

DESCRIPTION
   There are a multitude of heap and heap-like modules on CPAN, you might
   want to search for /Heap/ and /Priority/ to find many. They implement
   more or less fancy datastructures that might well be what you are
   looking for.

   This module takes a different approach: It exports functions (i.e. no
   object orientation) that are loosely modeled after the C++ STL's binary
   heap functions. They all take an array as argument, just like perl's
   built-in functions "push", "pop" etc.

   The implementation itself is in C for maximum speed.

FUNCTIONS
   All of the following functions are being exported by default.

   make_heap @heap (\@)
       Reorders the elements in the array so they form a heap, with the
       lowest value "on top" of the heap (corresponding to the first array
       element).

   make_heap_idx @heap (\@)
       Just like "make_heap", but updates the index (see INDEXED
       OPERATIONS).

   make_heap_lex @heap (\@)
       Just like "make_heap", but in string comparison order instead of
       numerical comparison order.

   make_heap_cmp { compare } @heap (&\@)
       Just like "make_heap", but takes a custom comparison function.

   push_heap @heap, $element, ... (\@@)
       Adds the given element(s) to the heap.

   push_heap_idx @heap, $element, ... (\@@)
       Just like "push_heap", but updates the index (see INDEXED
       OPERATIONS).

   push_heap_lex @heap, $element, ... (\@@)
       Just like "push_heap", but in string comparison order instead of
       numerical comparison order.

   push_heap_cmp { compare } @heap, $element, ... (&\@@)
       Just like "push_heap", but takes a custom comparison function.

   pop_heap @heap (\@)
       Removes the topmost (lowest) heap element and repairs the heap.

   pop_heap_idx @heap (\@)
       Just like "pop_heap", but updates the index (see INDEXED
       OPERATIONS).

   pop_heap_lex @heap (\@)
       Just like "pop_heap", but in string comparison order instead of
       numerical comparison order.

   pop_heap_cmp { compare } @heap (&\@)
       Just like "pop_heap", but takes a custom comparison function.

   splice_heap @heap, $index (\@$)
       Similar to "pop_heap", but removes and returns the element at index
       $index.

   splice_heap_idx @heap, $index (\@$)
       Just like "splice_heap", but updates the index (see INDEXED
       OPERATIONS).

   splice_heap_lex @heap, $index (\@$)
       Just like "splice_heap", but in string comparison order instead of
       numerical comparison order.

   splice_heap_cmp { compare } @heap, $index (&\@$)
       Just like "splice_heap", but takes a custom comparison function.

   adjust_heap @heap, $index (\@$)
       Assuming you have only changed the element at index $index, repair
       the heap again. Can be used to remove elements, replace elements,
       adjust the priority of elements and more.

   adjust_heap_idx @heap, $index (\@$)
       Just like "adjust_heap", but updates the index (see INDEXED
       OPERATIONS).

   adjust_heap_lex @heap, $index (\@$)
       Just like "adjust_heap", but in string comparison order instead of
       numerical comparison order.

   adjust_heap_cmp { compare } @heap, $index (&\@$)
       Just like "adjust_heap", but takes a custom comparison function.

 COMPARISON FUNCTIONS
   All the functions come in two flavours: one that uses the built-in
   comparison function and one that uses a custom comparison function.

   The built-in comparison function can either compare scalar numerical
   values (string values for *_lex functions), or array refs. If the
   elements to compare are array refs, the first element of the array is
   used for comparison, i.e.

     1, 4, 6

   will be sorted according to their numerical value,

     [1 => $obj1], [2 => $obj2], [3 => $obj3]

   will sort according to the first element of the arrays, i.e. "1,2,3".

   The custom comparison functions work similar to how "sort" works: $a and
   $b are set to the elements to be compared, and the result should be
   greater than zero then $a is greater than $b, 0 otherwise. This means
   that you can use the same function as for sorting the array, but you
   could also use a simpler function that just does "$a > $b".

   The first example above corresponds to this comparison "function":

     { $a <=> $b }

   And the second example corresponds to this:

     { $a->[0] <=> $b->[0] }

   Unlike "sort", the default sort is numerical and it is not possible to
   use normal subroutines.

 INDEXED OPERATIONS
   The functions whose names end in "_idx" also "update the index". That
   means that all elements must be array refs, with the first element being
   the heap value, and the second value being the array index:

     [$value, $index, ...]

   This allows you to quickly locate an element in the array when all you
   have is the array reference.

BUGS
   *   Numerical comparison is always done using floatingpoint, which
       usually has less precision than a 64 bit integer that perl might use
       for integers internally, resulting in precision loss on the built-in
       comparison.

   *   This module does not work with tied or magical arrays or array
       elements, and, in fact, will even crash when you use those.

   *   This module can leak memory (or worse) when your comparison function
       exits unexpectedly (e.g. "last") or throws an exception, so do not
       do that.

SEE ALSO
   This module has a rather low-level interface. If it seems daunting, you
   should have a look at Array::Heap::ModifiablePriorityQueue, which is
   based on this module but provides more and higher-level operations with
   an object-oriented API which makes it harder to make mistakes.

   A slightly less flexible (only numeric weights), but also slightly
   faster variant of that module can be found as
   Array::Heap::PriorityQueue::Numeric on CPAN.

AUTHOR AND CONTACT INFORMATION
    Marc Lehmann <[email protected]>
    http://software.schmorp.de/pkg/Array-Heap