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USING: heaps.private help.markup help.syntax kernel math assocs
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math.order quotations ;
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IN: heaps
ARTICLE: "heaps" "Heaps"
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"A heap is an implementation of a " { $emphasis "priority queue" } ", which is a structure that maintains a sorted set of elements. The key property is that insertion of an arbitrary element and removal of the first element (determined by order) is performed in O(log n) time."
$nl
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"Heap elements are key/value pairs and are compared using the " { $link <=> } " generic word on the first element of the pair."
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$nl
"There are two classes of heaps. Min-heaps sort their elements so that the minimum element is first:"
{ $subsection min-heap }
{ $subsection min-heap? }
{ $subsection <min-heap> }
"Max-heaps sort their elements so that the maximum element is first:"
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{ $subsection max-heap }
{ $subsection max-heap? }
{ $subsection <max-heap> }
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"Both obey a protocol."
$nl
"Queries:"
{ $subsection heap-empty? }
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{ $subsection heap-size }
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{ $subsection heap-peek }
"Insertion:"
{ $subsection heap-push }
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{ $subsection heap-push* }
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{ $subsection heap-push-all }
"Removal:"
{ $subsection heap-pop* }
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{ $subsection heap-pop }
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{ $subsection heap-delete }
"Processing heaps:"
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{ $subsection slurp-heap } ;
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ABOUT: "heaps"
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HELP: <min-heap>
{ $values { "min-heap" min-heap } }
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{ $description "Create a new " { $link min-heap } "." } ;
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HELP: <max-heap>
{ $values { "max-heap" max-heap } }
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{ $description "Create a new " { $link max-heap } "." } ;
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HELP: heap-push
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{ $values { "key" "a comparable object" } { "value" object } { "heap" "a heap" } }
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{ $description "Push a pair onto a heap. The key must be comparable with all other keys by the " { $link <=> } " generic word." }
{ $side-effects "heap" } ;
HELP: heap-push*
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{ $values { "key" "a comparable object" } { "value" object } { "heap" "a heap" } { "entry" entry } }
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{ $description "Push a pair onto a heap, and output an entry which may later be passed to " { $link heap-delete } "." }
{ $side-effects "heap" } ;
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HELP: heap-push-all
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{ $values { "assoc" assoc } { "heap" "a heap" } }
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{ $description "Push every key/value pair of an assoc onto a heap." }
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{ $side-effects "heap" } ;
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HELP: heap-peek
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{ $values { "heap" "a heap" } { "key" object } { "value" object } }
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{ $description "Output the first element in the heap, leaving it in the heap." } ;
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HELP: heap-pop*
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{ $values { "heap" "a heap" } }
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{ $description "Remove the first element from the heap." }
{ $side-effects "heap" } ;
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HELP: heap-pop
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{ $values { "heap" "a heap" } { "key" object } { "value" object } }
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{ $description "Output and remove the first element in the heap." }
{ $side-effects "heap" } ;
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HELP: heap-empty?
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{ $values { "heap" "a heap" } { "?" "a boolean" } }
{ $description "Tests if a heap has no nodes." } ;
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HELP: heap-size
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{ $values { "heap" "a heap" } { "n" integer } }
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{ $description "Returns the number of key/value pairs in the heap." } ;
HELP: heap-delete
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{ $values { "entry" entry } { "heap" "a heap" } }
{ $description "Remove the specified entry from the heap." }
{ $errors "Throws an error if the entry is from another heap or if it has already been deleted." }
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{ $side-effects "heap" } ;
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HELP: slurp-heap
{ $values
{ "heap" "a heap" } { "quot" quotation } }
{ $description "Removes values from a heap and processes them with the quotation until the heap is empty." } ;