直接给出一个接口,满足接口的都可以实现为小顶堆(排序好的完全二叉树),因为接口又涉及到了 sort.Interface
,顺便也给出源码。
// src/container/heap/heap.go ---- line 21
// 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.
type Interface interface {
sort.Interface
Push(x interface{}) // add x as element Len()
Pop() interface{} // remove and return element Len() - 1.
}
// src/sort/sort.go ---- line 11
// A type, typically a collection, that satisfies sort.Interface can be
// sorted by the routines in this package. The methods require that the
// elements of the collection be enumerated by an integer index.
type Interface interface {
// Len is the number of elements in the collection.
Len() int
// Less reports whether the element with
// index i should sort before the element with index j.
Less(i, j int) bool
// Swap swaps the elements with indexes i and j.
Swap(i, j int)
}
除了接口,就只剩下七个神秘函数。对外公开的五个函数都基于剩下两个 private 函数,先分析一下这两个函数
// src/container/heap/heap.go ---- line 90
func up(h Interface, j int) {
for {
i := (j - 1) / 2 // parent
if i == j || !h.Less(j, i) {
break
}
h.Swap(i, j)
j = i
}
}
func down(h Interface, i0, n int) bool {
i := i0
for {
j1 := 2*i + 1
if j1 >= n || j1 < 0 { // j1 < 0 after int overflow
break
}
j := j1 // left child
if j2 := j1 + 1; j2 < n && h.Less(j2, j1) {
j = j2 // = 2*i + 2 // right child
}
if !h.Less(j, i) {
break
}
h.Swap(i, j)
i = j
}
return i > i0
}