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@vderyagin
Last active November 27, 2022 18:50
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Priority Queue data structure implementation in Go
package priority_queue
import "errors"
type Elem struct {
Score int
Data interface{}
}
type priorityQueue struct {
heap []*Elem
}
func New(elems ...*Elem) *priorityQueue {
pq := new(priorityQueue)
pq.heap = elems
for i := pq.lastNonLeafIdx(); i >= 0; i-- {
pq.bubbleDown(i)
}
return pq
}
func (pq *priorityQueue) IsEmpty() bool {
if len(pq.heap) == 0 {
return true
}
return false
}
func (pq *priorityQueue) Peek() (*Elem, error) {
if pq.IsEmpty() {
return nil, errors.New("queue is empty")
}
return pq.heap[0], nil
}
func (pq *priorityQueue) Enqueue(e *Elem) {
pq.heap = append(pq.heap, e)
pq.bubbleUp(len(pq.heap) - 1)
}
func (pq *priorityQueue) Dequeue() (*Elem, error) {
elem, err := pq.Peek()
if err != nil {
return nil, err
}
pq.replaceRootWithLastChild()
pq.bubbleDown(0)
pq.downsizeHeapIfTooBig()
return elem, nil
}
func (pq *priorityQueue) parentIdx(idx int) int {
return (idx - 1) / 2
}
func (pq *priorityQueue) childrenIdxs(idx int) []int {
idxs := make([]int, 0, 2)
xIdx := idx*2 + 1
yIdx := idx*2 + 2
if xIdx < len(pq.heap) {
idxs = append(idxs, xIdx)
}
if yIdx < len(pq.heap) {
idxs = append(idxs, yIdx)
}
return idxs
}
func (pq *priorityQueue) hasSmallerChild(idx int) bool {
if idx >= len(pq.heap) {
return false
}
idxs := pq.childrenIdxs(idx)
score := pq.heap[idx].Score
for _, i := range idxs {
childScore := pq.heap[i].Score
if score > childScore {
return true
}
}
return false
}
func (pq *priorityQueue) hasBiggerParent(idx int) bool {
score := pq.heap[idx].Score
parentScore := pq.heap[pq.parentIdx(idx)].Score
return parentScore > score
}
func (pq *priorityQueue) bubbleUp(idx int) {
if pq.hasBiggerParent(idx) {
pq.bubbleUp(pq.switchWithParent(idx))
} else {
return
}
}
func (pq *priorityQueue) bubbleDown(idx int) {
if pq.hasSmallerChild(idx) {
pq.bubbleDown(pq.switchWithSmallestChild(idx))
} else {
return
}
}
func (pq *priorityQueue) switchWithParent(idx int) (newIdx int) {
parentIdx := pq.parentIdx(idx)
h := pq.heap
h[parentIdx], h[idx] = h[idx], h[parentIdx]
return parentIdx
}
func (pq *priorityQueue) switchWithSmallestChild(idx int) (newIdx int) {
h := pq.heap
newIdx = idx
for _, i := range pq.childrenIdxs(idx) {
if h[i].Score < h[newIdx].Score {
newIdx = i
}
}
h[idx], h[newIdx] = h[newIdx], h[idx]
return newIdx
}
func (pq *priorityQueue) replaceRootWithLastChild() {
lastIdx := len(pq.heap) - 1
pq.heap[0] = pq.heap[lastIdx]
pq.heap[lastIdx] = nil
pq.heap = pq.heap[:lastIdx]
}
func (pq *priorityQueue) lastNonLeafIdx() int {
lastIdx := len(pq.heap) - 1
return pq.parentIdx(lastIdx)
}
func (pq *priorityQueue) downsizeHeapIfTooBig() {
l := len(pq.heap)
c := cap(pq.heap)
if c > 100 && c > l*4 {
newHeap := make([]*Elem, l, l*2)
for idx, elem := range pq.heap {
newHeap[idx] = elem
}
pq.heap = newHeap
}
}
package priority_queue
import "testing"
func TestPeekEmptyQueue(t *testing.T) {
pq := New()
if elem, err := pq.Peek(); elem != nil || err == nil {
t.Error("should return error when called on empty queue")
}
pq.Enqueue(&Elem{Score: 1})
if elem, err := pq.Peek(); elem == nil || err != nil {
t.Error("should not return error when called on non-empty queue")
}
}
func TestPeekReturnsRightElement(t *testing.T) {
pq := New(
&Elem{Score: -1},
&Elem{Score: 1},
&Elem{Score: 0},
)
for i := -1; i <= 1; i++ {
el, _ := pq.Peek()
pq.Dequeue()
if el.Score != i {
t.Errorf("%d != %d", el.Score, i)
}
}
}
func TestNewNoArguments(t *testing.T) {
pq := New()
if !pq.IsEmpty() {
t.Error("newly created queue should be empty")
}
}
func TestNewWithArguments(t *testing.T) {
pq := New(
&Elem{Score: 1},
&Elem{Score: -2},
&Elem{Score: -1},
&Elem{Score: 5},
&Elem{Score: 4},
&Elem{Score: 0},
&Elem{Score: 3},
&Elem{Score: 2},
)
for i := -2; i <= 5; i++ {
d, err := pq.Dequeue()
if err != nil {
t.Error(err)
}
if d.Score != i {
t.Errorf("%d != %d", d.Score, 1)
}
}
}
func TestIsEmpty(t *testing.T) {
pq := New()
if !pq.IsEmpty() {
t.Error("should be empty")
}
pq.Enqueue(&Elem{Score: 1})
if pq.IsEmpty() {
t.Error("should not be empty")
}
pq.Dequeue()
if !pq.IsEmpty() {
t.Error("should be empty again")
}
}
func TestDequeuingOrder(t *testing.T) {
pq := New()
pq.Enqueue(&Elem{Score: -2})
pq.Enqueue(&Elem{Score: 0})
pq.Enqueue(&Elem{Score: 1})
pq.Enqueue(&Elem{Score: -1})
pq.Enqueue(&Elem{Score: -3})
pq.Enqueue(&Elem{Score: 3})
pq.Enqueue(&Elem{Score: 2})
for i := -3; i <= 3; i++ {
if d, err := pq.Dequeue(); d.Score != i {
if err != nil {
t.Error(err)
}
t.Errorf("%d != %d", d, 3)
}
}
}
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