Overview

Package heap provides heap operations for any type that implements
heap.Interface. A heap is a tree with the property that each node is the
minimum-valued node in its subtree.

The minimum element in the tree is the root, at index 0.

A heap is a common way to implement a priority queue. To build a priority queue,
implement the Heap interface with the (negative) priority as the ordering for
the Less method, so Push adds items while Pop removes the highest-priority item
from the queue. The Examples include such an implementation; the file
example_pq_test.go has the complete source.


Example:


Example:

  1. // This example demonstrates a priority queue built using the heap interface.
  2. package heap_test
  3. import (
  4. "container/heap"
  5. "fmt"
  6. )
  7. // An Item is something we manage in a priority queue.
  8. type Item struct {
  9. value string // The value of the item; arbitrary.
  10. priority int // The priority of the item in the queue.
  11. // The index is needed by update and is maintained by the heap.Interface methods.
  12. index int // The index of the item in the heap.
  13. }
  14. // A PriorityQueue implements heap.Interface and holds Items.
  15. type PriorityQueue []*Item
  16. func (pq PriorityQueue) Len() int { return len(pq) }
  17. func (pq PriorityQueue) Less(i, j int) bool {
  18. // We want Pop to give us the highest, not lowest, priority so we use greater than here.
  19. return pq[i].priority > pq[j].priority
  20. }
  21. func (pq PriorityQueue) Swap(i, j int) {
  22. pq[i], pq[j] = pq[j], pq[i]
  23. pq[i].index = i
  24. pq[j].index = j
  25. func (pq *PriorityQueue) Push(x interface{}) {
  26. item := x.(*Item)
  27. item.index = n
  28. *pq = append(*pq, item)
  29. }
  30. func (pq *PriorityQueue) Pop() interface{} {
  31. old := *pq
  32. n := len(old)
  33. item := old[n-1]
  34. item.index = -1 // for safety
  35. *pq = old[0 : n-1]
  36. return item
  37. }
  38. // update modifies the priority and value of an Item in the queue.
  39. func (pq *PriorityQueue) update(item *Item, value string, priority int) {
  40. item.value = value
  41. item.priority = priority
  42. heap.Fix(pq, item.index)
  43. }
  44. // This example creates a PriorityQueue with some items, adds and manipulates an item,
  45. // and then removes the items in priority order.
  46. func Example_priorityQueue() {
  47. // Some items and their priorities.
  48. items := map[string]int{
  49. "banana": 3, "apple": 2, "pear": 4,
  50. // Create a priority queue, put the items in it, and
  51. // establish the priority queue (heap) invariants.
  52. pq := make(PriorityQueue, len(items))
  53. i := 0
  54. for value, priority := range items {
  55. pq[i] = &Item{
  56. value: value,
  57. priority: priority,
  58. }
  59. i++
  60. }
  61. heap.Init(&pq)
  62. // Insert a new item and then modify its priority.
  63. item := &Item{
  64. value: "orange",
  65. priority: 1,
  66. }
  67. heap.Push(&pq, item)
  68. pq.update(item, item.value, 5)
  69. // Take the items out; they arrive in decreasing priority order.
  70. for pq.Len() > 0 {
  71. item := heap.Pop(&pq).(*Item)
  72. fmt.Printf("%.2d:%s ", item.priority, item.value)
  73. }
  74. // Output:
  75. // 05:orange 04:pear 03:banana 02:apple

Index

Package files

heap.go

  1. func Fix(h , 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

A heap must be initialized before any of the heap operations can be used. Init
is idempotent with respect to the heap invariants and may be called whenever the
heap invariants may have been invalidated. Its complexity is O(n) where n =
h.Len().

func

  1. func Pop(h ) interface{}

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

  1. func Push(h Interface, x interface{})

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

func

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

type

  1. type Interface interface {
  2. .Interface
  3. Push(x interface{}) // add x as element Len()
  4. Pop() interface{} // remove and return element Len() - 1.
  5. }

Any type that implements heap.Interface 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):

    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.