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Source for wiki BinaryHeapsCowan version 5

author

cowan

comment

Revised wording

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173.13.139.236

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BinaryHeapsCowan

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text

== Binary heaps ==

Binary heaps are mutable collections that can contain any Scheme object provided there exists a total ordering on the objects expressed by an ''ordering procedure''.  They are intended to be a thin veneer over vectors.  Binary heaps are disjoint from other types of Scheme objects.

== Procedures ==

`(make-heap `''<''`)`

Returns a newly allocated empty heap.  ''<'' is the less-than procedure for the heap.

`(heap `''<''` `''element''` ...)`

Returns a newly allocated heap using ''<'' as the ordering procedure, and containing the ''elements''.  This operation should be O(n) in the size of the heap.

`(copy-heap` ''heap''`)`

Returns a newly allocated heap containing the elements of ''heap'' with the same ''<'' procedure.

`(heap? `''obj''`)`

Returns `#t` if ''obj'' is a heap, and `#f` otherwise.

`(heap-length `''heap''`)`

Returns the number of elements in ''heap''.

'''Issue:''' change the name to `heap-size` or `heap-count`?

`(heap-member? `''heap''` `''element''`)`

Returns `#t` if ''element'' is a member of ''heap'' (in the sense of `eqv?`) and `#f` otherwise.

`(heap-add! `''heap''` `''element''`)`

Adds ''element'' to ''heap''.  Returns an unspecified value.  This operation should be O(log N) in the size of the heap.

`(heap-minimum `''heap''` `''element''`)`

Returns the smallest element of the heap (according to the ''<'' function).  This operation should be O(log N) in the size of the heap.

`(heap-remove-minimum! `''heap''` `''element''`)`

Removes the smallest element of the heap (according to the ''<'' function) and returns it.  This operation should be O(log N) in the size of the heap.

`(heap-map `''proc''` `''<''` `''heap''`)`

Applies ''proc'' to each element of ''heap'' in arbitrary order and returns a newly allocated heap with ordering predicate ''<'' containing the values of the applications.  This operation should be O(N) in the size of the heap.

`(heap-for-each `''proc''` `''heap''`)`

Applies ''proc'' to ''heap'' in arbitrary order, discarding the returned values.  Returns an unspecified value.  This operation should be O(N) in the size of the heap.

`(heap->list `''heap''`)`

Returns a newly allocated list containing the members of ''heap'' in arbitrary order.  This operation should be O(N) in the size of the heap.

`(heap->sorted-list! `''<''` `''heap''`)`

Returns a newly allocated list containing the members of ''heap'' in increasing order.  ''Heap'' may be destroyed in the process.

`(list->heap `''<''` `''list''`)`

Returns a newly allocated heap containing the elements of ''list'' and using ''<'' as the ordering procedure.  This operation should be O(n) in the size of the heap.

`(heap->vector `''heap''`)`

Returns a newly allocated vector containing the elements of ''heap'' in arbitrary order.

`(heap->sorted-vector! `''<''` `''heap''`)`

Returns a newly allocated vector containing the elements of ''heap'' in increasing order.  ''Heap'' may be destroyed in the process.

`(vector->heap `''<''` `''vector''`)`

Returns a newly allocated heap containing the elements of ''vector'' and using ''<'' as the ordering procedure.  This operation should be O(n) in the size of the heap.

time

2012-11-22 10:26:12