數據結構系列前言:
數據結構作爲程序員的基本知識,需要我們每個人牢牢掌握。近期我也展開了對數據結構的二次學習,來彌補當年挖的坑。。。。。。 當時上課的時候也就是跟着聽課,沒有親自實現任何一種數據結構,更別提利用數據結構來解決問題了。 現在就來填坑了 在這裏提醒看到我博客的孩子們,如果你還是在校生,永遠不要輕視任何一門基礎課的學習,這個時候挖的坑,要麼需要用雙倍的努力去填,要麼會直接影響一個人的能力等等。。。。。。 千萬別給自己挖坑
進入正題,關於鏈表的數據結構知識,這裏簡單介紹下:
鏈表是一種物理存儲單元上非線性、非連續性的數據結構(它在數據邏輯上是線性的),它的每個節點由兩個域組成:數據域和指針域。數據域中存儲實際數據,指針域則存儲着指針信息,指向鏈表中的下一個元素或者上一個元素。正是由於指針的存在,鏈表的存儲在物理單元是非連續性的。
鏈表的優點和缺點同樣明顯。和線性表相比,鏈表在添加和刪除節點上的效率更高,因爲其只需要修改指針信息即可完成操作,而不像線性表(數組)那樣需要移動元素。同樣的,鏈表的長度在理論上也是無限的(在存儲器容量範圍內),並可以動態變化長度,相比線性表優勢很大。 相應的,由於線性表無法隨機訪問節點,只能通過指針順着鏈表進行遍歷查詢來訪問,故其訪問數據元素的效率比較低。
下面是JS部分
這裏面封裝了的常用方法及描述:
方法 | 描述 |
---|---|
append(element) | 向鏈表尾部添加結點element |
insert(position,element) | 向位置position處插入結點element |
removeAt(position) | 按照索引值position刪除結點 |
remove(element) | 搜索並刪除給定結點element |
remove() | 刪除鏈表中最後一個結點 |
indexOf(element) | 查找並返回給定結點element的索引值 |
isEmpty() | 判斷鏈表是否爲空 |
size() | 獲取鏈表長度 |
toString() | 轉換爲字符串輸出 |
getHead() | 獲取頭結點 |
getTail() | 獲取尾結點 |
對於各常用方法的算法描述在這裏就不寫了,相信大家都可以輕易讀懂並理解,畢竟都是非常基礎的知識了。
單鏈表:
function LinkedList(){
/*節點定義*/
var Node = function(element){
this.element = element; //存放節點內容
this.next = null; //指針
}
var length = 0, //存放鏈表長度
head = null; //頭指針
this.append = function(element){
var node = new Node(element),
current; //操作所用指針
if (!head){
head = node;
}else {
current = head;
while(current.next){
current = current.next;
}
current.next = node;
}
length++;
return true;
};
this.insert = function(position, element){
if (position >= 0 && position <= length) {
var node = new Node(element),
current = head,
previous,
index = 0;
if(position === 0){
node.next = current;
head = node;
}else{
while(index++ < position){
previous = current;
current = current.next;
}
node.next = current;
previous.next = node;
}
length++;
return true;
}else{
return false;
}
};
this.removeAt = function(position){
if(position > -1 && position < length){
var current = head,
previous,
index = 0;
if (position === 0) {
head = current.next;
}else{
while (index++ < position){
previous = current;
current = current.next;
}
previous.next = current.next;
};
length--;
return current.element;
}else{
return null;
}
};
this.remove = function(element){
var current = head,
previous;
if(element === current.element){
head = current.next;
length--;
return true;
}
previous = current;
current = current.next;
while(current){
if(element === current.element){
previous.next = current.next;
length--;
return true;
}else{
previous = current;
current = current.next;
}
}
return false;
};
this.remove = function(){
if(length < 1){
return false;
}
var current = head,
previous;
if(length == 1){
head = null;
length--;
return current.element;
}
while(current.next !== null){
previous = current;
current = current.next;
}
previous.next = null;
length--;
return current.element;
};
this.indexOf = function(element){
var current = head,
index = 0;
while(current){
if(element === current.element){
return index;
}
index++;
current = current.next;
}
return false;
};
this.isEmpty = function(){
return length === 0;
};
this.size = function(){
return length;
};
this.toString = function(){
var current = head,
string = '';
while(current){
string += current.element;
current = current.next;
}
return string;
};
this.getHead = function(){
return head;
}
}
循環鏈表:在單鏈表的基礎上,將尾節點的指針指向頭結點,就構成了一個循環鏈表。環形鏈表從任意一個節點開始,都可以遍歷整個鏈表。
function CircularLinkedList(){
var Node = function(element){
this.element = element;
this.next = null;
}
var length = 0,
head = null;
this.append = function(element){
var node = new Node(element),
current;
if (!head) {
head = node;
node.next = head;
}else{
current = head;
while(current.next !== head){
current = current.next;
}
current.next = node;
node.next = head;
};
length++;
return true;
};
this.insert = function(position, element){
if(position > -1 && position < length){
var node = new Node(element),
index = 0,
current = head,
previous;
if (position === 0) {
node.next = head;
head = node;
}else{
while(index++ < position){
previous = current;
current = current.next;
}
previous.next = node;
node.next = current;
};
length++;
return true;
}else{
return false;
}
};
this.removeAt = function(position){
if(position > -1 && position < length){
var current = head,
previous,
index = 0;
if (position === 0) {
head = current.next;
}else{
while (index++ < position){
previous = current;
current = current.next;
}
previous.next = current.next;
};
length--;
return current.element;
}else{
return null;
}
};
this.remove = function (element){
var current = head,
previous,
indexCheck = 0;
while(current && indexCheck < length){
if(current.element === element){
if(indexCheck == 0){
head = current.next;
length--;
return true;
}else{
previous.next = current.next;
length--;
return true;
}
}else{
previous = current;
current = current.next;
indexCheck++;
}
}
return false;
};
this.remove = function(){
if(length === 0){
return false;
}
var current = head,
previous,
indexCheck = 0;
if(length === 1){
head = null;
length--;
return current.element;
}
while(indexCheck++ < length){
previous = current;
current = current.next;
}
previous.next = head;
length--;
return current.element;
};
this.indexOf = function(element){
var current = head,
index = 0;
while(current && index < length){
if(current.element === element){
return index;
}else{
index++;
current = current.next;
}
}
return false;
};
this.isEmpty = function(){
return length === 0;
};
this.size = function(){
return length;
};
this.toString = function(){
var current = head,
string = '',
indexCheck = 0;
while(current && indexCheck < length){
string += current.element;
current = current.next;
indexCheck++;
}
return string;
};
}
使用方法:
在類外部擴充方法:
關於雙向鏈表與雙向循環鏈表,見本人另一篇博客: 雙向鏈表、雙向循環鏈表的JS實現
對於鏈表的封裝,完整版地址:https://github.com/zhuwq585/Data-Structure-in-JavaScript/blob/master/LinkedList.js