inorder traversal of a b-tree (c++)
I'm working on a b-tree (or is it BTree?) for a class I'm current taking. I have most of it implement correctly (I think). However, I'm having trouble nailing down an inorder traversal. Here's my main function:
Tree<char, 5>* tree = new Tree<char, 5>();
char entries[] = {'a', 'g', 'f', 'b', 'k', 'd', 'h', 'm', 'j', 'e', 's',
'i', 'r', 'x', 'c', 'l', 'n', 't', 'u', 'p' };
for (int i = 0; i < 20; i++) {
tree->insert(entries[i]);
cout << i << ":\t";
tree->inorder();
cout << endl;
}
So I'm create a 5-way btree that holds chars. I'm inserting each of the chars into the tree, and then showing the inorder traversal for each iteration for debugging purposes. This is the output I get:
0: a
1: ag
2: afg
3: abfg
4: abffgk
5: abdgfgk
6: abdgfghk
7: abdgfghkm
8: abdgfghjjkm
9: abdefghjjkm
10: abdefghjjkms
11: abdefghimjkms
12: abdefghimjkmrs
13: abdefghimjkmrrsx
14: abccdefghimjkmrrsx
15: abccdefghimjklmsrsx
16: abccdefghimjklmnrsx
17: abccdefghimjklmnrstx
18: abccdefghimjklmnrstux
19: abccdefghimjjklmmnprstux
In nearly all of them, some of the chars are duplicated, but not consistently between insertions, so it (to me) doesn't seem like duplicate data is getting in. I can't seem to make sense of it, but here's my inorder method:
template <class Record, int order>
void Tree<Record, order>::inorder()
{
inorder(root);
}
template <class Record, int order>
void Tree<Record, order>::inorder(Node<Record, order> *current)
{
for (int i = 0; i < current->count+1; i++) {
if (current->branch[i])
inorder(current->branch[i]);
if (i < order-1 && current->data[i])
cout << current->data[i];
}
}
In my node implementation, count is the number of 'data' (each char) in the tree. count+1 would be how many branches come off the node for the non-leaf nodes. branch is an array of the next lower set of nodes, data is an array of the chars.
Here's my Node implementation:
template <class Record, int order>
struct Node
{
int count;
Record data[order - 1];
Node<Record, order>* branch[order];
Node() : count(0) {}
};
Here's everything used to insert:
template <class Record, int order>
ErrorCode Tree<Record, order>::insert(const Record& new_entry)
{
Record median;
Node<Record, order> *right_branch, *new_root;
ErrorCode result = push_down(root, new_entry, median, right_branch);
if (result == overflow) {
new_root = new Node<Record, order>();
new_root->count = 1;
new_root->data[0] = median;
new_root->branch[0] = root;
new_root->branch[1] = right_branch;
root = new_root;
result = success;
}
return result;
}
template <class Record, int order>
ErrorCode Tree<Record, order>::push_down(
Node<Record, order> *current,
const Record &new_entry,
Record &median,
Node<Record, order> *&right_branch)
{
ErrorCode result;
int position;
if (current == NULL) {
median = new_entry;
right_branch = NULL;
result = overflow;
}
else {
if (search_node(current, new_entry, position) == success)
开发者_开发问答 result = duplicate_error;
else {
Record extra_entry;
Node<Record, order> *extra_branch;
result = push_down(current->branch[position], new_entry,
extra_entry, extra_branch);
if (result == overflow) {
if (current->count < order - 1) {
result = success;
push_in(current, extra_entry, extra_branch, position);
}
else
split_node(current, extra_entry, extra_branch, position,
right_branch, median);
}
}
}
return result;
}
template <class Record, int order>
void Tree<Record, order>::push_in(Node<Record, order> *current,
const Record &entry,
Node<Record, order> *right_branch,
int position)
{
for (int i = current->count; i > position; i--) {
current->data[i] = current->data[i-1];
current->branch[i+1] = current->branch[i];
}
current->data[position] = entry;
current->branch[position+1] = right_branch;
current->count++;
}
Heh, I think we're in the same class. I just finished mine, and I saw the problem in your inorder traversal, with the new one too. In that second if:
if (i < order-1 && current->data[i])
cout << current->data[i];
it does it for the order, not for how much data is currently in the node, so it's going to spit out that little bit extra. I changed it to i<current->data
and now it works just fine. ^^b Just finished up. If it doesn't work for you, sorry. ^^;
Your problem is that your for-loop is going from 0 to count (inclusive) but your Node::data array isn't defined at data[count] its only defined up to data[count-1] so the last iteration of your that loop always gets garbage which sometimes might be non-zero and not show up, but othertimes might be random characters.
You need to special case your code for when "i == order" like so
if (current->branch[i])
inorder(current->branch[i]);
if (i < order-1 && current->data[i])
cout << current->data[i];
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