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-rw-r--r--src/pkg/container/heap/example_intheap_test.go43
-rw-r--r--src/pkg/container/heap/example_pq_test.go95
-rw-r--r--src/pkg/container/heap/example_test.go105
-rw-r--r--src/pkg/container/heap/heap.go10
-rw-r--r--src/pkg/container/heap/heap_test.go16
5 files changed, 157 insertions, 112 deletions
diff --git a/src/pkg/container/heap/example_intheap_test.go b/src/pkg/container/heap/example_intheap_test.go
new file mode 100644
index 000000000..e718cbc58
--- /dev/null
+++ b/src/pkg/container/heap/example_intheap_test.go
@@ -0,0 +1,43 @@
+// Copyright 2012 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 example demonstrates an integer heap built using the heap interface.
+package heap_test
+
+import (
+ "container/heap"
+ "fmt"
+)
+
+// An IntHeap is a min-heap of ints.
+type IntHeap []int
+
+func (h IntHeap) Len() int { return len(h) }
+func (h IntHeap) Less(i, j int) bool { return h[i] < h[j] }
+func (h IntHeap) Swap(i, j int) { h[i], h[j] = h[j], h[i] }
+
+func (h *IntHeap) Push(x interface{}) {
+ // Push and Pop use pointer receivers because they modify the slice's length,
+ // not just its contents.
+ *h = append(*h, x.(int))
+}
+
+func (h *IntHeap) Pop() interface{} {
+ old := *h
+ n := len(old)
+ x := old[n-1]
+ *h = old[0 : n-1]
+ return x
+}
+
+// This example inserts several ints into an IntHeap and removes them in order of priority.
+func Example_intHeap() {
+ h := &IntHeap{2, 1, 5}
+ heap.Init(h)
+ heap.Push(h, 3)
+ for h.Len() > 0 {
+ fmt.Printf("%d ", heap.Pop(h))
+ }
+ // Output: 1 2 3 5
+}
diff --git a/src/pkg/container/heap/example_pq_test.go b/src/pkg/container/heap/example_pq_test.go
new file mode 100644
index 000000000..8cbeb8d70
--- /dev/null
+++ b/src/pkg/container/heap/example_pq_test.go
@@ -0,0 +1,95 @@
+// Copyright 2012 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 example demonstrates a priority queue built using the heap interface.
+package heap_test
+
+import (
+ "container/heap"
+ "fmt"
+)
+
+// An Item is something we manage in a priority queue.
+type Item struct {
+ value string // The value of the item; arbitrary.
+ priority int // The priority of the item in the queue.
+ // The index is needed by update and is maintained by the heap.Interface methods.
+ index int // The index of the item in the heap.
+}
+
+// A PriorityQueue implements heap.Interface and holds Items.
+type PriorityQueue []*Item
+
+func (pq PriorityQueue) Len() int { return len(pq) }
+
+func (pq PriorityQueue) Less(i, j int) bool {
+ // We want Pop to give us the highest, not lowest, priority so we use greater than here.
+ return pq[i].priority > pq[j].priority
+}
+
+func (pq PriorityQueue) Swap(i, j int) {
+ pq[i], pq[j] = pq[j], pq[i]
+ pq[i].index = i
+ pq[j].index = j
+}
+
+func (pq *PriorityQueue) Push(x interface{}) {
+ n := len(*pq)
+ item := x.(*Item)
+ item.index = n
+ *pq = append(*pq, item)
+}
+
+func (pq *PriorityQueue) Pop() interface{} {
+ old := *pq
+ n := len(old)
+ item := old[n-1]
+ item.index = -1 // for safety
+ *pq = old[0 : n-1]
+ return item
+}
+
+// update modifies the priority and value of an Item in the queue.
+func (pq *PriorityQueue) update(item *Item, value string, priority int) {
+ heap.Remove(pq, item.index)
+ item.value = value
+ item.priority = priority
+ heap.Push(pq, item)
+}
+
+// This example inserts some items into a PriorityQueue, manipulates an item,
+// and then removes the items in priority order.
+func Example_priorityQueue() {
+ // Some items and their priorities.
+ items := map[string]int{
+ "banana": 3, "apple": 2, "pear": 4,
+ }
+
+ // Create a priority queue and put the items in it.
+ pq := &PriorityQueue{}
+ heap.Init(pq)
+ for value, priority := range items {
+ item := &Item{
+ value: value,
+ priority: priority,
+ }
+ heap.Push(pq, item)
+ }
+
+ // Insert a new item and then modify its priority.
+ item := &Item{
+ value: "orange",
+ priority: 1,
+ }
+ heap.Push(pq, item)
+ pq.update(item, item.value, 5)
+
+ // Take the items out; they arrive in decreasing priority order.
+ for pq.Len() > 0 {
+ item := heap.Pop(pq).(*Item)
+ fmt.Printf("%.2d:%s ", item.priority, item.value)
+ }
+ // Output:
+ // 05:orange 04:pear 03:banana 02:apple
+}
diff --git a/src/pkg/container/heap/example_test.go b/src/pkg/container/heap/example_test.go
deleted file mode 100644
index 2050bc835..000000000
--- a/src/pkg/container/heap/example_test.go
+++ /dev/null
@@ -1,105 +0,0 @@
-// Copyright 2012 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 example demonstrates a priority queue built using the heap interface.
-package heap_test
-
-import (
- "container/heap"
- "fmt"
-)
-
-// An Item is something we manage in a priority queue.
-type Item struct {
- value string // The value of the item; arbitrary.
- priority int // The priority of the item in the queue.
- // The index is needed by changePriority and is maintained by the heap.Interface methods.
- index int // The index of the item in the heap.
-}
-
-// A PriorityQueue implements heap.Interface and holds Items.
-type PriorityQueue []*Item
-
-func (pq PriorityQueue) Len() int { return len(pq) }
-
-func (pq PriorityQueue) Less(i, j int) bool {
- // We want Pop to give us the highest, not lowest, priority so we use greater than here.
- return pq[i].priority > pq[j].priority
-}
-
-func (pq PriorityQueue) Swap(i, j int) {
- pq[i], pq[j] = pq[j], pq[i]
- pq[i].index = i
- pq[j].index = j
-}
-
-func (pq *PriorityQueue) Push(x interface{}) {
- // Push and Pop use pointer receivers because they modify the slice's length,
- // not just its contents.
- // To simplify indexing expressions in these methods, we save a copy of the
- // slice object. We could instead write (*pq)[i].
- a := *pq
- n := len(a)
- a = a[0 : n+1]
- item := x.(*Item)
- item.index = n
- a[n] = item
- *pq = a
-}
-
-func (pq *PriorityQueue) Pop() interface{} {
- a := *pq
- n := len(a)
- item := a[n-1]
- item.index = -1 // for safety
- *pq = a[0 : n-1]
- return item
-}
-
-// update is not used by the example but shows how to take the top item from
-// the queue, update its priority and value, and put it back.
-func (pq *PriorityQueue) update(value string, priority int) {
- item := heap.Pop(pq).(*Item)
- item.value = value
- item.priority = priority
- heap.Push(pq, item)
-}
-
-// changePriority is not used by the example but shows how to change the
-// priority of an arbitrary item.
-func (pq *PriorityQueue) changePriority(item *Item, priority int) {
- heap.Remove(pq, item.index)
- item.priority = priority
- heap.Push(pq, item)
-}
-
-// This example pushes 10 items into a PriorityQueue and takes them out in
-// order of priority.
-func Example() {
- const nItem = 10
- // Random priorities for the items (a permutation of 0..9, times 11)).
- priorities := [nItem]int{
- 77, 22, 44, 55, 11, 88, 33, 99, 00, 66,
- }
- values := [nItem]string{
- "zero", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine",
- }
- // Create a priority queue and put some items in it.
- pq := make(PriorityQueue, 0, nItem)
- for i := 0; i < cap(pq); i++ {
- item := &Item{
- value: values[i],
- priority: priorities[i],
- }
- heap.Push(&pq, item)
- }
- // Take the items out; should arrive in decreasing priority order.
- // For example, the highest priority (99) is the seventh item, so output starts with 99:"seven".
- for i := 0; i < nItem; i++ {
- item := heap.Pop(&pq).(*Item)
- fmt.Printf("%.2d:%s ", item.priority, item.value)
- }
- // Output:
- // 99:seven 88:five 77:zero 66:nine 55:three 44:two 33:six 22:one 11:four 00:eight
-}
diff --git a/src/pkg/container/heap/heap.go b/src/pkg/container/heap/heap.go
index 67018e6ba..c37e50e3c 100644
--- a/src/pkg/container/heap/heap.go
+++ b/src/pkg/container/heap/heap.go
@@ -4,13 +4,13 @@
// 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
-// highest-valued node in its subtree.
+// minimum-valued node in its subtree.
//
// 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_test.go has the complete source.
+// implementation; the file example_pq_test.go has the complete source.
//
package heap
@@ -79,7 +79,7 @@ func Remove(h Interface, i int) interface{} {
func up(h Interface, j int) {
for {
i := (j - 1) / 2 // parent
- if i == j || h.Less(i, j) {
+ if i == j || !h.Less(j, i) {
break
}
h.Swap(i, j)
@@ -90,14 +90,14 @@ func up(h Interface, j int) {
func down(h Interface, i, n int) {
for {
j1 := 2*i + 1
- if j1 >= n {
+ if j1 >= n || j1 < 0 { // j1 < 0 after int overflow
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) {
+ if !h.Less(j, i) {
break
}
h.Swap(i, j)
diff --git a/src/pkg/container/heap/heap_test.go b/src/pkg/container/heap/heap_test.go
index cb31ef6d3..274d587d8 100644
--- a/src/pkg/container/heap/heap_test.go
+++ b/src/pkg/container/heap/heap_test.go
@@ -2,10 +2,9 @@
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
-package heap_test
+package heap
import (
- . "container/heap"
"testing"
)
@@ -170,3 +169,16 @@ func TestRemove2(t *testing.T) {
}
}
}
+
+func BenchmarkDup(b *testing.B) {
+ const n = 10000
+ h := make(myHeap, n)
+ for i := 0; i < b.N; i++ {
+ for j := 0; j < n; j++ {
+ Push(&h, 0) // all elements are the same
+ }
+ for h.Len() > 0 {
+ Pop(&h)
+ }
+ }
+}