Add build script for Go and update Go codes.

This commit is contained in:
krahets
2023-02-09 04:45:06 +08:00
parent 12c085a088
commit e8c78f89f0
39 changed files with 391 additions and 1468 deletions

View File

@@ -7,17 +7,17 @@ package chapter_tree
import . "github.com/krahets/hello-algo/pkg"
/* AVL 树 */
type avlTree struct {
type aVLTree struct {
// 根结点
root *TreeNode
}
func newAVLTree() *avlTree {
return &avlTree{root: nil}
func newAVLTree() *aVLTree {
return &aVLTree{root: nil}
}
/* 获取结点高度 */
func height(node *TreeNode) int {
func (t *aVLTree) height(node *TreeNode) int {
// 空结点高度为 -1 ,叶结点高度为 0
if node != nil {
return node.Height
@@ -26,9 +26,9 @@ func height(node *TreeNode) int {
}
/* 更新结点高度 */
func updateHeight(node *TreeNode) {
lh := height(node.Left)
rh := height(node.Right)
func (t *aVLTree) updateHeight(node *TreeNode) {
lh := t.height(node.Left)
rh := t.height(node.Right)
// 结点高度等于最高子树高度 + 1
if lh > rh {
node.Height = lh + 1
@@ -38,68 +38,68 @@ func updateHeight(node *TreeNode) {
}
/* 获取平衡因子 */
func balanceFactor(node *TreeNode) int {
func (t *aVLTree) balanceFactor(node *TreeNode) int {
// 空结点平衡因子为 0
if node == nil {
return 0
}
// 结点平衡因子 = 左子树高度 - 右子树高度
return height(node.Left) - height(node.Right)
return t.height(node.Left) - t.height(node.Right)
}
/* 右旋操作 */
func rightRotate(node *TreeNode) *TreeNode {
func (t *aVLTree) rightRotate(node *TreeNode) *TreeNode {
child := node.Left
grandChild := child.Right
// 以 child 为原点,将 node 向右旋转
child.Right = node
node.Left = grandChild
// 更新结点高度
updateHeight(node)
updateHeight(child)
t.updateHeight(node)
t.updateHeight(child)
// 返回旋转后子树的根结点
return child
}
/* 左旋操作 */
func leftRotate(node *TreeNode) *TreeNode {
func (t *aVLTree) leftRotate(node *TreeNode) *TreeNode {
child := node.Right
grandChild := child.Left
// 以 child 为原点,将 node 向左旋转
child.Left = node
node.Right = grandChild
// 更新结点高度
updateHeight(node)
updateHeight(child)
t.updateHeight(node)
t.updateHeight(child)
// 返回旋转后子树的根结点
return child
}
/* 执行旋转操作,使该子树重新恢复平衡 */
func rotate(node *TreeNode) *TreeNode {
func (t *aVLTree) rotate(node *TreeNode) *TreeNode {
// 获取结点 node 的平衡因子
// Go 推荐短变量,这里 bf 指代 balanceFactor
bf := balanceFactor(node)
// Go 推荐短变量,这里 bf 指代 t.balanceFactor
bf := t.balanceFactor(node)
// 左偏树
if bf > 1 {
if balanceFactor(node.Left) >= 0 {
if t.balanceFactor(node.Left) >= 0 {
// 右旋
return rightRotate(node)
return t.rightRotate(node)
} else {
// 先左旋后右旋
node.Left = leftRotate(node.Left)
return rightRotate(node)
node.Left = t.leftRotate(node.Left)
return t.rightRotate(node)
}
}
// 右偏树
if bf < -1 {
if balanceFactor(node.Right) <= 0 {
if t.balanceFactor(node.Right) <= 0 {
// 左旋
return leftRotate(node)
return t.leftRotate(node)
} else {
// 先右旋后左旋
node.Right = rightRotate(node.Right)
return leftRotate(node)
node.Right = t.rightRotate(node.Right)
return t.leftRotate(node)
}
}
// 平衡树,无需旋转,直接返回
@@ -107,49 +107,49 @@ func rotate(node *TreeNode) *TreeNode {
}
/* 插入结点 */
func (t *avlTree) insert(val int) *TreeNode {
t.root = insertHelper(t.root, val)
func (t *aVLTree) insert(val int) *TreeNode {
t.root = t.insertHelper(t.root, val)
return t.root
}
/* 递归插入结点(辅助函数) */
func insertHelper(node *TreeNode, val int) *TreeNode {
func (t *aVLTree) insertHelper(node *TreeNode, val int) *TreeNode {
if node == nil {
return NewTreeNode(val)
}
/* 1. 查找插入位置,并插入结点 */
if val < node.Val {
node.Left = insertHelper(node.Left, val)
node.Left = t.insertHelper(node.Left, val)
} else if val > node.Val {
node.Right = insertHelper(node.Right, val)
node.Right = t.insertHelper(node.Right, val)
} else {
// 重复结点不插入,直接返回
return node
}
// 更新结点高度
updateHeight(node)
t.updateHeight(node)
/* 2. 执行旋转操作,使该子树重新恢复平衡 */
node = rotate(node)
node = t.rotate(node)
// 返回子树的根结点
return node
}
/* 删除结点 */
func (t *avlTree) remove(val int) *TreeNode {
root := removeHelper(t.root, val)
func (t *aVLTree) remove(val int) *TreeNode {
root := t.removeHelper(t.root, val)
return root
}
/* 递归删除结点(辅助函数) */
func removeHelper(node *TreeNode, val int) *TreeNode {
func (t *aVLTree) removeHelper(node *TreeNode, val int) *TreeNode {
if node == nil {
return nil
}
/* 1. 查找结点,并删除之 */
if val < node.Val {
node.Left = removeHelper(node.Left, val)
node.Left = t.removeHelper(node.Left, val)
} else if val > node.Val {
node.Right = removeHelper(node.Right, val)
node.Right = t.removeHelper(node.Right, val)
} else {
if node.Left == nil || node.Right == nil {
child := node.Left
@@ -165,21 +165,21 @@ func removeHelper(node *TreeNode, val int) *TreeNode {
}
} else {
// 子结点数量 = 2 ,则将中序遍历的下个结点删除,并用该结点替换当前结点
temp := getInOrderNext(node.Right)
node.Right = removeHelper(node.Right, temp.Val)
temp := t.getInOrderNext(node.Right)
node.Right = t.removeHelper(node.Right, temp.Val)
node.Val = temp.Val
}
}
// 更新结点高度
updateHeight(node)
t.updateHeight(node)
/* 2. 执行旋转操作,使该子树重新恢复平衡 */
node = rotate(node)
node = t.rotate(node)
// 返回子树的根结点
return node
}
/* 获取中序遍历中的下一个结点(仅适用于 root 有左子结点的情况) */
func getInOrderNext(node *TreeNode) *TreeNode {
func (t *aVLTree) getInOrderNext(node *TreeNode) *TreeNode {
if node == nil {
return node
}
@@ -191,7 +191,7 @@ func getInOrderNext(node *TreeNode) *TreeNode {
}
/* 查找结点 */
func (t *avlTree) search(val int) *TreeNode {
func (t *aVLTree) search(val int) *TreeNode {
cur := t.root
// 循环查找,越过叶结点后跳出
for cur != nil {

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@@ -41,13 +41,13 @@ func TestAVLTree(t *testing.T) {
fmt.Printf("\n查找到的结点对象为 %#v ,结点值 = %d \n", node, node.Val)
}
func testInsert(tree *avlTree, val int) {
func testInsert(tree *aVLTree, val int) {
tree.insert(val)
fmt.Printf("\n插入结点 %d 后AVL 树为 \n", val)
PrintTree(tree.root)
}
func testRemove(tree *avlTree, val int) {
func testRemove(tree *aVLTree, val int) {
tree.remove(val)
fmt.Printf("\n删除结点 %d 后AVL 树为 \n", val)
PrintTree(tree.root)

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@@ -15,12 +15,26 @@ type binarySearchTree struct {
}
func newBinarySearchTree(nums []int) *binarySearchTree {
// sorting array
// 排序数组
sort.Ints(nums)
root := buildBinarySearchTree(nums, 0, len(nums)-1)
return &binarySearchTree{
root: root,
// 构建二叉搜索树
bst := &binarySearchTree{}
bst.root = bst.buildTree(nums, 0, len(nums)-1)
return bst
}
/* 构建二叉搜索树 */
func (bst *binarySearchTree) buildTree(nums []int, left, right int) *TreeNode {
if left > right {
return nil
}
// 将数组中间结点作为根结点
middle := left + (right-left)>>1
root := NewTreeNode(nums[middle])
// 递归构建左子树和右子树
root.Left = bst.buildTree(nums, left, middle-1)
root.Right = bst.buildTree(nums, middle+1, right)
return root
}
/* 获取根结点 */
@@ -146,21 +160,7 @@ func (bst *binarySearchTree) remove(num int) *TreeNode {
return cur
}
// buildBinarySearchTree Build a binary search tree from array.
func buildBinarySearchTree(nums []int, left, right int) *TreeNode {
if left > right {
return nil
}
// 将数组中间结点作为根结点
middle := left + (right-left)>>1
root := NewTreeNode(nums[middle])
// 递归构建左子树和右子树
root.Left = buildBinarySearchTree(nums, left, middle-1)
root.Right = buildBinarySearchTree(nums, middle+1, right)
return root
}
// print binary search tree
/* 打印二叉搜索树 */
func (bst *binarySearchTree) print() {
PrintTree(bst.root)
}

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@@ -11,7 +11,7 @@ import (
)
/* 层序遍历 */
func levelOrder(root *TreeNode) []int {
func hierOrder(root *TreeNode) []int {
// 初始化队列,加入根结点
queue := list.New()
queue.PushBack(root)

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@@ -11,7 +11,7 @@ import (
. "github.com/krahets/hello-algo/pkg"
)
func TestLevelOrder(t *testing.T) {
func TestHierOrder(t *testing.T) {
/* 初始化二叉树 */
// 这里借助了一个从数组直接生成二叉树的函数
root := ArrToTree([]any{1, 2, 3, 4, 5, 6, 7})
@@ -19,6 +19,6 @@ func TestLevelOrder(t *testing.T) {
PrintTree(root)
// 层序遍历
nums := levelOrder(root)
nums := hierOrder(root)
fmt.Println("\n层序遍历的结点打印序列 =", nums)
}