javascript实现数据结构与算法系列：功能完整的线性链表

由于链表在空间的合理利用上和插入，删除时不需要移动等的有点，因此在很多场合下，它是线性表的首选存储结构。然而，它也存在着实现某些基本操作，如求线性表长度时不如顺序存储结构的缺点；另一方面，由于在链表中，结点之间的关系使用指针来表示，则数据元素在线性表中的“位序”的概念已淡化，而被数据元素在线性链表中的“位置”所代替。为此，从实际出发重新定义线性链表及其基本操作

 

结构图：

 

(function(module){
  function List() {
    this.head = null;
    this.tail = null;
  }
  module.exports = List;

  List.mergeList = function (a, b, compare) {
    var ha = a.head;
    var hb = b.head;
    var pa = ha;
    var pb = hb;
    var c = new List();
    var q;
    compare = compare || function (data1, data2) {
      return data1 <= data2;
    };

    while (pa && pb) {
      var data1 = pa.data;
      var data2 = pb.data;

      if (!compare(data1, data2)) {
        // delete head node
        q = a.delFirst();
        // append the node to c linkedList
        c.append(q);
        pa = a.head;
      } else {
        q = b.delFirst();
        c.append(q);
        pb = b.head;
      }
    }

    if (pa) {
      c.append(pa);
    } else {
      c.append(pb);
    }

    return c;
  };

  List.prototype = {
    makeNode: function(data, next){
      return {
        data: data != null ?  data : null,
        next: next || null
      };
    },
    delFirst: function () {
      var head = this.head;
      this.head = this.head.next;
      head.next = null;

      if(this.head === null) this.tail = null;
      return head;
    },
    append: function (node) {
      if (this.head !== null) {
        this.tail.next = node;
        this.tail = this.tail.next;
      } else {
        this.head = node;
        this.tail = node;
      }
    },
    add: function (data) {
      if (this.head === null) {
        this.head = this.makeNode(data);
        this.tail = this.head;
      } else {
        this.tail.next = this.makeNode(data);
        this.tail = this.tail.next;
      }

      this.tail.data = data;
    },
    'delete': function (data) {
      var current = this.head;
      var previous = this.head;
      var elem;

      while (current !== null) {
        if (data === current.data) {
          if (current === this.head) {
            this.head = current.next;
            elem =  current.data;
            break;
          }

          if (current === this.tail) this.tail = previous;

          previous.next = current.next;
          elem =  current.data;
          break;
        }

        previous = current;
        current = current.next;
      }

      if(this.head === null) this.tail = null;

      return elem ? elem : false;
    },
    insertAsFirst: function (data) {
      var temp = this.makeNode(data);
      temp.next = this.head;
      this.head = temp;
    },
    insertAfter: function (target, data) {
      var current = this.head;
      while (current !== null) {
        if (current.data === target) {
          var temp = this.makeNode(data);
          temp.next = current.next;

          if (current === this.tail) this.tail = temp;

          current.next = temp;
          return;
        }

        current = current.next;
      }
    },
    item: function (index) {
      var current = this.head;

      while (current !== null) {
        if (--index === 0) return current;

        current = current.next;
      }

      return null;
    },
    each: function (callback) {
      var current = this.head;

      while (current !== null) {
        callback(current);
        current = current.next;
      }
    },
    orderInsert: function(data, cmp){
      cmp = typeof cmp === 'function' ? cmp : function (a, b){
        if(a > b)
          return 1;
        else if(a === b)
          return 0;
        else
          return -1;
      };
      var previous = this.head;
      var current = this.head;

      if(current === null){
        this.head = this.tail = this.makeNode(data);
        return;
      }

      var me = this;
      while(current){
        var ret = cmp(data, current.data);
        // 如果插入元素大于当前元素，准备下次遍历
        if(ret > 0){
          previous = current;
          current = current.next;

          // 如果等于，直接插入到后面
        } else if(ret === 0){
          return insertBetween(data, previous, current);

          // 如果小于则插入到前节点和当前节点中
          // 因为已经是排序了，所以不需要多余判断了
        } else {
          if(this.head === previous && previous === current){
            return this.insertAsFirst(data);
          } else {
            return insertBetween(data, previous, current);
          }
        }
      }

      // 插入到最后一个结点
      previous.next = this.makeNode(data);
      this.tail = previous.next;

      function insertBetween(data, a, b){
        var temp = me.makeNode(data);
        temp.next = b;
        a.next = temp;
        return true;
      }
    }
  };
  /*
  var list = new List();
  list.add('b');
  list.insertAsFirst('a');
  list.insertAfter('b', 'c');
  console.log(list.item(2));
  console.log(JSON.stringify(list));
  list.each(function (node) {
    if (node.data === 'b') {
      console.log('get b in each');
    }
  });
  list['delete']('c');
  list['delete']('a');
  console.log(list);

  var list2 = new List();
  list2.add('c');
  list2.insertAsFirst('d');
  list2.insertAfter('d', 'b');
  console.log(JSON.stringify(list2));

  var list3 = List.mergeList(list, list2);
  console.log(list3);
  */
  /*
  var list = new List();

  list.orderInsert('e');
  list.orderInsert('b');
  list.orderInsert('c');
  list.orderInsert('a');
  list.orderInsert('d');
  list.orderInsert('f');
  */
}(this.module || this));

 

以下是对应的单元测试代码：

describe('linkedList tests', function(){

  var list = new List();

  it('should find the second item', function(){
    list.add('b');
    expect(list.head.data).toBe('b');
    expect(list.tail.next).toBe(null);

    list.insertAsFirst('a');
    expect(list.head.data).toBe('a');
    expect(list.head.next.data).toBe('b');

    list.insertAfter('b', 'c');
    expect(list.item(2).data).toBe('b');
    expect(list.tail.data).toBe('c');
  });

  it('should remove one item', function(){
    expect(list['delete']('c')).toBe(true);
    list['delete']('a');
    expect(list.head.data).toBe('b');
  });

  var list2 = new List();

  it('should match the json', function(){
    list2.add('c');
    list2.insertAsFirst('d');
    list2.insertAfter('d', 'b');
    expect(JSON.stringify(list2)).toBe('{"head":{"data":"d","next":{"data":"b","next":{"data":"c","next":null}}},"tail":{"data":"c","next":null}}');
  });

  it('should merge the lists', function(){
    var list3 = List.mergeList(list, list2);
    expect(list3.head.data).toBe('d');
    expect(list3.head.next.data).toBe('b');
    expect(list3.head.next.next.data).toBe('c');
    expect(list3.tail.data).toBe('b');
  });
});