heap

package
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Published: Mar 19, 2022 License: MIT Imports: 1 Imported by: 0

Documentation

Index

Constants

This section is empty.

Variables

This section is empty.

Functions

func Fix

func Fix[T any](h Interface[T], i int)

Fix re-establishes the heap ordering after the element at index i has changed its value. Changing the value of the element at index i and then calling Fix is equivalent to, but less expensive than, calling Remove(h, i) followed by a Push of the new value. The complexity is O(log n) where n = h.Len().

func Init

func Init[T any](h Interface[T])

Init establishes the heap invariants required by the other routines in this package. Init is idempotent with respect to the heap invariants and may be called whenever the heap invariants may have been invalidated. The complexity is O(n) where n = h.Len().

func Pop

func Pop[T any](h Interface[T]) T

Pop removes and returns the minimum element (according to Less) from the heap. The complexity is O(log n) where n = h.Len(). Pop is equivalent to Remove(h, 0).

func Push

func Push[T any](h Interface[T], x T)

Push pushes the element x onto the heap. The complexity is O(log n) where n = h.Len().

func Remove

func Remove[T any](h Interface[T], i int) T

Remove removes and returns the element at index i from the heap. The complexity is O(log n) where n = h.Len().

Types

type Interface

type Interface[T any] interface {
	sort.Interface
	Push(x T) // add x as element Len()
	Pop() T   // remove and return element Len() - 1.
}

The Interface type describes the requirements for a type using the routines in this package. Any type that implements it may be used as a min-heap with the following invariants (established after Init has been called or if the data is empty or sorted):

!h.Less(j, i) for 0 <= i < h.Len() and 2*i+1 <= j <= 2*i+2 and j < h.Len()

Note that Push and Pop in this interface are for package heap's implementation to call. To add and remove things from the heap, use heap.Push and heap.Pop.

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