algorithms/sorting/priority_queue.go

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2021-12-31 13:26:22 +02:00
package sorting
type PriorityQueue[T any] interface {
top() T
insert(T)
delete() T
size() int
isEmpty() bool
}
type priorityQueue[T any] struct {
n int
heap []T
less func(T, T) bool
}
func NewPQ[T any](less func(T, T) bool) PriorityQueue[T] {
return &priorityQueue[T]{
n: 0,
less: less,
// First element is not used
// to make equation "next = current * 2" work
heap: make([]T, 1, 1),
}
}
func (pq *priorityQueue[T]) top() T {
// After all operations biggest element
// should be always at the beginning of the array
return pq.heap[1]
}
func (pq *priorityQueue[T]) insert(item T) {
// TODO: increase by square when capacity is full
pq.heap = append(pq.heap, item)
pq.n++
pq.swim(pq.n)
}
func (pq *priorityQueue[T]) delete() T {
top := pq.top()
pq.swap(1, pq.n)
pq.heap = pq.heap[:pq.n]
pq.n--
pq.sink(1)
return top
}
func (pq *priorityQueue[_]) size() int {
return pq.n
}
func (pq *priorityQueue[_]) isEmpty() bool {
return pq.n == 0
}
func (pq *priorityQueue[_]) swap(i, j int) {
pq.heap[i], pq.heap[j] = pq.heap[j], pq.heap[i]
}
func (pq *priorityQueue[T]) swim(start int) {
for k := start; k > 1 && pq.less(pq.heap[k/2], pq.heap[k]); k = k / 2 {
pq.swap(k/2, k)
}
}
func (pq *priorityQueue[T]) sink(k int) {
// While k is a parent with some children
for 2*k <= pq.n {
// First child of a parent k
j := 2 * k
// If first child is less than second
// we choose second one for exchange.
// Parent should be swapped with biggest child
if j < pq.n && pq.less(pq.heap[j], pq.heap[j+1]) {
j++
}
// If parent is already bigger than biggest child
// we found the position
if !pq.less(pq.heap[k], pq.heap[j]) {
break
}
// swap parent node with child
pq.swap(j, k)
// child node is a new parent
k = j
}
}