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Diffstat (limited to 'libgo/go/container/heap/heap.go')
-rw-r--r-- | libgo/go/container/heap/heap.go | 102 |
1 files changed, 102 insertions, 0 deletions
diff --git a/libgo/go/container/heap/heap.go b/libgo/go/container/heap/heap.go new file mode 100644 index 00000000000..4435a57c4e8 --- /dev/null +++ b/libgo/go/container/heap/heap.go @@ -0,0 +1,102 @@ +// Copyright 2009 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// This package provides heap operations for any type that implements +// heap.Interface. +// +package heap + +import "sort" + +// Any type that implements heap.Interface may be used as a +// min-heap with the following invariants (established after +// Init has been called): +// +// !h.Less(j, i) for 0 <= i < h.Len() and j = 2*i+1 or 2*i+2 and j < h.Len() +// +type Interface interface { + sort.Interface + Push(x interface{}) + Pop() interface{} +} + + +// A heaper 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 Init(h Interface) { + // heapify + n := h.Len() + for i := n/2 - 1; i >= 0; i-- { + down(h, i, n) + } +} + + +// Push pushes the element x onto the heap. The complexity is +// O(log(n)) where n = h.Len(). +// +func Push(h Interface, x interface{}) { + h.Push(x) + up(h, h.Len()-1) +} + + +// Pop removes the minimum element (according to Less) from the heap +// and returns it. The complexity is O(log(n)) where n = h.Len(). +// Same as Remove(h, 0). +// +func Pop(h Interface) interface{} { + n := h.Len() - 1 + h.Swap(0, n) + down(h, 0, n) + return h.Pop() +} + + +// Remove removes the element at index i from the heap. +// The complexity is O(log(n)) where n = h.Len(). +// +func Remove(h Interface, i int) interface{} { + n := h.Len() - 1 + if n != i { + h.Swap(i, n) + down(h, i, n) + up(h, i) + } + return h.Pop() +} + + +func up(h Interface, j int) { + for { + i := (j - 1) / 2 // parent + if i == j || h.Less(i, j) { + break + } + h.Swap(i, j) + j = i + } +} + + +func down(h Interface, i, n int) { + for { + j1 := 2*i + 1 + if j1 >= n { + break + } + j := j1 // left child + if j2 := j1 + 1; j2 < n && !h.Less(j1, j2) { + j = j2 // = 2*i + 2 // right child + } + if h.Less(i, j) { + break + } + h.Swap(i, j) + i = j + } +} |