【发布时间】:2012-02-24 16:00:04
【问题描述】:
我有一个具有以下定义的类,
class BinomialNode
{
public int key; // The key value
public int x_point; // x co-ordinate for drawing
public int y_point; // y co-ordinate for drawing
public int degree; // number of siblings/children for current node
public BinomialNode parent;
public BinomialNode child;
public BinomialNode sibling;
...
}
我们在大学学习二项式堆,我已经在代码中实现了合并和插入算法。至少,当我暂停 Visual Studio 并查看“Locals”(将鼠标悬停在变量上)时,我看到的数据与我预期的一样。
作为实验,我在标准“二项式节点”中添加了 2 个额外变量。它们是 x_point 和 y_point。现在在程序执行期间我看到了这个,
请注意我在上面指出的区域。它应该代表同一个节点,但正如我们所见,x_point 的值是不同的。 (其他情况下y_point不同)
有人知道为什么会这样吗?据我了解,如果它代表同一个节点,则数据应该是相同的。但它不是——这意味着它不是同一个节点。这怎么可能?如果我忽略我的“额外” x_point 和 y_point 变量,代码运行完美!事实上,我什至都不知道这是个问题。
从我的 sn-p 中看不到它,但 x_point 和 y_point 是我在类定义之外编辑的唯一值。其他的,而 public 只能从中读取。
编辑: 这是我制作的代码,
class BinomialNode
{
public int key; // The key value
public int x_point; // x co-ordinate for drawing
public int y_point; // y co-ordinate for drawing
public int degree; // number of siblings/children for current node
public BinomialNode parent;
public BinomialNode child;
public BinomialNode sibling;
// Binomial Link takes the tree rooted at y and makes it a child of z
private static void Binomial_Link(ref BinomialNode y,ref BinomialNode z)
{
y.parent = z;
y.sibling = z.child;
z.child = y;
z.degree++;
}
// This merges the root lists of H1 and H2 into a single linked list that is sorted
// by degree in increasing order
private static BinomialNode Binomial_Heap_Merge(BinomialNode H1, BinomialNode H2)
{
BinomialNode H = new BinomialNode();
BinomialNode temp = H;
if (H1 == null) // if it's the first insert
{
return H2;
}
while (H1 != null && H2 != null)
{
if (H1.degree < H2.degree)
{
// insert H1 into position
temp.key = H1.key;
temp.x_point = H1.x_point;
temp.y_point = H1.y_point;
temp.child = H1.child;
temp.degree = H1.degree;
temp.sibling = new BinomialNode();
temp = temp.sibling;
// move H1 to the next sibling
H1 = H1.sibling;
}
else
{
// insert H2 into position
temp.key = H2.key;
temp.x_point = H2.x_point;
temp.y_point = H2.y_point;
temp.child = H2.child;
temp.degree = H2.degree;
temp.sibling = new BinomialNode();
temp = temp.sibling;
// move H2 to next sibling
H2 = H2.sibling;
}
}
// one of them hit null, so fill in the rest
while (H1 != null)
{
// insert H1 into position
temp.key = H1.key;
temp.x_point = H1.x_point;
temp.y_point = H1.y_point;
temp.child = H1.child;
temp.degree = H1.degree;
temp.sibling = new BinomialNode();
temp = temp.sibling;
// move H1 to the next sibling
H1 = H1.sibling;
}
while (H2 != null)
{
// insert H2 into position
temp.key = H2.key;
temp.x_point = H2.x_point;
temp.y_point = H2.y_point;
temp.child = H2.child;
temp.degree = H2.degree;
temp.sibling = new BinomialNode();
temp = temp.sibling;
// move H2 to the next sibling
H2 = H2.sibling;
}
// To remove the extra node added,
temp = H;
while (temp != null)
{
if (temp.sibling.key == 0 && temp.sibling.sibling == null && temp.sibling.child == null)
{
// found the extra, now to get rid of it!
temp.sibling = null;
}
temp = temp.sibling;
}
return H; // send back the merged heap
}
// Unites the binomial heaps H1 & H2 and returns resulting heap
public static BinomialNode Binomial_Heap_Union(BinomialNode H1, BinomialNode H2)
{
BinomialNode prev_x, x, next_x;
BinomialNode H = new BinomialNode();
H = Binomial_Heap_Merge(H1, H2);
// simple checks
if (H == null)
{
return H;
}
else
{
prev_x = null;
x = H;
next_x = x.sibling;
}
// now, for the actual merging
while (next_x != null)
{
if ((x.degree != next_x.degree) || (next_x.sibling != null && x.degree == next_x.sibling.degree))
{
prev_x = x;
x = next_x;
}
else if (x.key <= next_x.key)
{
x.sibling = next_x.sibling;
Binomial_Link(ref next_x, ref x);
}
else
{
if (prev_x == null)
{
H = next_x;
}
else
{
prev_x.sibling = x.sibling;
}
Binomial_Link(ref x, ref next_x);
x = next_x;
}
next_x = x.sibling;
}
// now, to return the merged heap
return H;
}
// inserting a key into a heap
public static void Binomial_Heap_Insert(ref BinomialNode H, int x)
{
BinomialNode H_temp = new BinomialNode();
H_temp.key = x;
H_temp.parent = null;
H_temp.degree = 0;
H_temp.sibling = null;
H_temp.child = null;
H = Binomial_Heap_Union(H, H_temp);
}
}
我使用表单窗口从用户那里获取数据以填充堆。输入在这里,
private void button1_Click(object sender, EventArgs e)
{
BinomialNode.Binomial_Heap_Insert(ref B_HEAP1, Int32.Parse(numericUpDown1.Value.ToString()));
// drawing the heap
pictureBox1.Refresh();
int x = 0;
DrawNodeValue(pictureBox1, ref B_HEAP1, ref x, 0);
}
我希望代码不要太糟糕?
【问题讨论】:
-
根据截图很难说你的实现。如果您想输入,请发布您的代码。谢谢。
-
好吧,您应该提供实际填充您的树的代码。您也可以在两个节点上调用
GetHashCode()方法:如果值不同,则表示两个节点不是同一个实例。 -
无法理解为什么您希望在两个实例中使用相同的节点?
key=10&&x=0- 父母,key=10&&x=20- 孩子 -
我不介意发布我的代码,但它会进入页面,我不确定这是否是个好主意。
-
@chronodekar 是的,它是为所有 Object 实例定义的。它将返回一个可用于识别对象的数字。 GetHashCode 的两个相同值意味着两个对象可能是同一个实例,两个不同的值意味着两个对象不是同一个实例。见MSDN
标签: c# .net binomial-heap