zyg0413 2015-07-17 15:28 采纳率: 0%
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已结题

斐波那契堆JAVA实现的问题

最近在做用斐波那契堆改进Prim算法的作业。但是Java代码调试了两个周还是有问题,只能正确输出前3项。
还有几天就要提交作业了,在次跪求大神们帮忙瞧瞧代码。
代码如下:
public class FibonacciNode {
FibonacciNode child, left, right, parent;

int vertex;
float element;
int degree;
Boolean mark;

/** Constructor **/

public FibonacciNode(int vertex, float element)
{
    this.right=this;
    this.left=this;
    this.parent=null;
    this.child=null;
    this.vertex=vertex;
    this.element=element;
    this.degree=0;
    this.mark=false;
} 

}

public class FibonacciHeap {
FibonacciNode root;
int count;
public FibonacciHeap(){
root=null;
count=0;
}

//Return the number of nodes of the current heap
public int size(){
    return count;
}

//Judge if the heap is empty
public boolean isEmpty(){
    return root==null;
}

//Clear the whole heap
public void clear(){
    root=null;
    count=0;
}

//Insert a node to the heap.
public void insert(int vertex, Float element){

    FibonacciNode node=new FibonacciNode(vertex, element);
    if(root==null)
        root=node;
    else{
        addNode(node, root);
        if(root.element>node.element){
            root=node;
        }           
    }
    count++;
}

//Add b to the tail of a
//Notify that a and b are both the heads of a double-linked list
private void catList(FibonacciNode a, FibonacciNode b){
      FibonacciNode tmp= a.right;
      a.right =b.right;
      b.right.left= a;
      b.right= tmp;
      tmp.left= b;
}

//Get the minimum node of the heap and remove it from the heap
public FibonacciNode extractMin(){

    if(root==null){
        return null;

    }

    if(root.child!=null){
        FibonacciNode m = root;
        FibonacciNode start=root.child;
        for(int i=0; i<m.degree; i++){
            if(start!=null){
                start.parent=null;
                addNode(start, root);
                start=start.right;
            }
        }
    }
    //remove root from the root list of heap
    FibonacciNode min=root;
    min.left.right=min.right;
    min.right.left=min.left;
    //if min.right==min, then the root of the heap has no child
    if(min.right==min){
        this.root=null;
    }
    else{
        root=min.right;
        consolidate();
    }
    //decrease the number of the nodes
    count--;    

    return min;
}

/*
// 将min每一个儿子(儿子和儿子的兄弟)都添加到"斐波那契堆的根链表"中
while (m.child != null){
    FibonacciNode child=m.child;

    removeNode(child);
    if(child.right==child)
        m.child=null;
    else
        m.child=child.right;

    addNode(child, min);
    child.parent=null;
}
*/

/*
if(min.child!=null){ //set all the min's child's parent as null
System.out.println("2:22222");
FibonacciNode startChild=min.child;
startChild.parent=null;
for(FibonacciNode x=startChild.right; x!=startChild; x=x.right){
x.parent=null;

        System.out.println("3:22222");
    }
    //merge the children to the root list
    catList(root, startChild);

}
*/

//unify two node if they have the same degree

private void consolidate() {
    FibonacciNode[] cons=new FibonacciNode[this.count];
    for(int i=0; i<this.count; i++)
        cons[i] = null;

    while (root!=null) {
        FibonacciNode x =root;
        if(x==x.right)
            root=null;
        else{
           removeNode(x);
           root=x.right;
       }
        int d=x.degree;
        while(cons[d]!=null) {
            FibonacciNode y=cons[d];
            if (x.element>y.element) {
                FibonacciNode tmp=x;
                x=y;
                y=tmp;
            }
            link(y, x);
            cons[d]=null;
            d++;
        }
        cons[d] = x;
    }
    root = null;     
    for(int i=0; i<cons.length; i++){
        if(cons[i] != null) {
            if(root == null)
                root = cons[i];
            else{
                addNode(cons[i], root);
                if ((cons[i]).element < root.element)
                    root = cons[i];
            }
        }
    }
}

//remove node1 from the root list and make it as node2's child

private void link(FibonacciNode node1, FibonacciNode node2) {
    // remove node1 from the root list
    node1.left.right = node1.right;
    node1.right.left = node1.left;
    // set node as root's child
    if (node2.child == null)
        node2.child = node1;
    else{
      node1.right=node2.child.right;
      node2.child.right=node1;
      node1.left=node2.child;
      node1.right.left=node1;
    }
    node1.parent = node2;
    node2.degree++;
    node1.mark = false;
}
//add node to the list rooted at root
private void addNode(FibonacciNode node, FibonacciNode root) {
    node.left=root;
    node.right=root.right;
    root.right=node;
    node.right.left=node;   
}

public void decreaseKey(FibonacciNode node, int key) {
    if (key > node.element) {
          System.out.println("decrease failed: the new key is no smaller than current key");
            return;
    }
    if (root==null||node==null) 
        return;
    node.element=key;
    FibonacciNode parent = node.parent;
    //if parent is null or node's element is no smaller than it's parent's, nothing is needed to be done
    if (parent!=null&&(node.element<parent.element)) { 
        //remove node and add it to the root list
        cut(node, parent);
        cascadingCut(parent);
    }
    // update the root node
    if (node.element<root.element)
        root=node;
}
private void removeNode(FibonacciNode node) {
    node.left.right = node.right;
    node.right.left = node.left;        
}
private void renewDegree(FibonacciNode parent){
      parent.degree -= 1;
      if(parent. parent != null)
          renewDegree(parent.parent);
}

//remove node from it's parent and add it to the root list
private void cut(FibonacciNode node, FibonacciNode parent) {
     removeNode(node);
     renewDegree(parent);
     //node has no sibling
     if (node==node.right) 
         parent.child=null;
     else 
         parent.child=node.right;
     node.parent=null;
     node.left=node.right=node;
     node.mark=false;
     //add to the root list of heap 
     addNode(node, root);
}

//recurse cut the parent' parent, until reach the root list 
private void cascadingCut(FibonacciNode node) {
    FibonacciNode parent = node.parent;
    if (parent!=null) {
        if(node.mark==false) 
            node.mark=true;
        else{
            cut(node, parent);
            cascadingCut(parent);
        }
    }
}
//Add heap other to the current heap
public void union(FibonacciHeap other) {
    if (this.root==null)   //this is empty, just return the othe
        this.root=other.root;
    else if((other.root)!=null) {// both this and other are not empty
          catList(this.root, other.root);
          if(this.root.element>other.root.element)
              this.root=other.root;
         } 
    this.count=this.count+other.count;
    other=null;
    return;
}

}
测试程序:
public class FibonacciHeapTest {
public static void main(String[] args){
FibonacciHeap heap=new FibonacciHeap();
for(int i=10; i>0; i--){
heap.insert(9-i, (float)i);
}

for(int i=0; i<10; i++){
System.out.println(heap.extractMin().element);
}
}
}
运行结果:
1.0
2.0
3.0
4.0
Exception in thread "main" java.lang.NullPointerException
at MST.FibonacciHeapTest.main(FibonacciHeapTest.java:10)

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7条回答

  • devmiao 2015-07-17 15:32
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