类型定义
在多叉树中,深度遍历迭代器有只读、读写、只读反转、读写反转4种,在mtree容器中的定义如下:
1
typedef fd_iterator_impl<false,false> fd_iterator;
2
typedef fd_iterator_impl<false,true> reverse_fd_iterator;
3
typedef fd_iterator_impl<true,false> const_fd_iterator;
4
typedef fd_iterator_impl<true,true> const_reverse_fd_iterator;
接口定义
多叉树的深度遍历是指访问某子树某同一深度上的所有结点,下面代码是深度遍历迭代器的声明:
1
template<bool is_const,bool is_reverse>
2
class fd_iterator_impl : public iterator_base_impl<is_const>
3
{
4
friend class mtree<T,false>;
5
typedef iterator_base_impl<is_const> base_type;
6
typedef typename base_type::node_pointer_type node_pointer_type;
7
typedef typename base_type::tree_pointer_type tree_pointer_type;
8
using base_type::tree_;
9
using base_type::off_;
10
using base_type::root_;
11
public:
12
fd_iterator_impl();
13
fd_iterator_impl(const base_type& iter,size_t depth);
14
fd_iterator_impl& operator++();
15
fd_iterator_impl& operator--();
16
fd_iterator_impl operator++(int);
17
fd_iterator_impl operator--(int);
18
fd_iterator_impl operator + (size_t off);
19
fd_iterator_impl& operator += (size_t off);
20
fd_iterator_impl operator - (size_t off);
21
fd_iterator_impl& operator -= (size_t off);
22
fd_iterator_impl begin() const;
23
fd_iterator_impl end() const;
24
protected:
25
void first(no_reverse_tag);
26
void first(reverse_tag);
27
void last(no_reverse_tag);
28
void last(reverse_tag);
29
void increment(no_reverse_tag);
30
void increment(reverse_tag);
31
void decrement(no_reverse_tag);
32
void decrement(reverse_tag);
33
private:
34
void forward_first();
35
void forward_last();
36
void forward_next();
37
void forward_prev();
38
private:
39
size_t depth_;
40
};
接口实现
下面重点讲述深度遍历中4种定位方法的具体实现,随后列出其它所有方法的实现代码。
(1)forward_first:求正向第一个结点,步骤如下:a) 向下遍历第一个孩子,如果存在第一个孩子则深度加1,并继续该过程直到达到某深度为止,否则转到步骤b)。b) 向右遍历兄弟结点,如果存在右兄弟且该右兄弟没有孩子结点,则继续该过程直到存在孩子结点为止,这时转向步骤a),否则转到步骤c)。c) 向上遍历父结点,深度减1,直到父结点存在右兄弟或碰到子树根结点或不存在父结点为止,如果碰到子树根结点或不存在父结点则返回end,否则转向步骤b)。代码如下:
1
template<typename T>
2
template<bool is_const,bool is_reverse>
3
inline void mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::forward_first()
4
{
5
size_t curdepth = 0; off_ = root_;
6
node_pointer_type p_node = &(*tree_)[off_];
7
while(curdepth<depth_)
8
{
9
while(!p_node->first_child_)
10
{
11
while (!p_node->next_sibling_)
12
{
13
if (off_==root_ || !p_node->parent_)
14
{
15
off_ = tree_->size();
16
return;
17
}
18
off_ -= p_node->parent_;
19
p_node = &(*tree_)[off_];
20
--curdepth;
21
}
22
off_ += p_node->next_sibling_;
23
p_node = &(*tree_)[off_];
24
}
25
off_ += p_node->first_child_;
26
p_node = &(*tree_)[off_];
27
++curdepth;
28
}
29
}
(2)forward_last:求正向最后一个结点,步骤如下:a) 向下遍历最后一个孩子,如果存在最后一个孩子则深度加1,并继续该过程直到达到某深度为止,否则转到步骤b)。b) 向左遍历兄弟结点,如果存在左兄弟且该左兄弟没有孩子结点,则继续该过程直到存在孩子结点为止,这时转向步骤a),否则转到步骤c)。c) 向上遍历父结点,深度减1,直到父结点存在右兄弟或碰到子树根结点或不存在父结点为止,如果碰到子树根结点或不存在父结点则返回end,否则转向步骤b)。代码如下:
1
template<typename T>
2
template<bool is_const,bool is_reverse>
3
inline void mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::forward_last()
4
{
5
size_t curdepth = 0; off_ = root_;
6
node_pointer_type p_node = &(*tree_)[off_];
7
while(curdepth<depth_)
8
{
9
while(!p_node->last_child_)
10
{
11
while (!p_node->prev_sibling_)
12
{
13
if (off_==root_ || !p_node->parent_)
14
{
15
off_ = tree_->size();
16
return;
17
}
18
off_ -= p_node->parent_;
19
p_node = &(*tree_)[off_];
20
--curdepth;
21
}
22
off_ -= p_node->prev_sibling_;
23
p_node = &(*tree_)[off_];
24
}
25
off_ += p_node->last_child_;
26
p_node = &(*tree_)[off_];
27
++curdepth;
28
}
29
}
(3)forward_next:求正向下一个结点,步骤如下:a) 如果当前结点不是子树根结点且存在右兄弟结点,那么下一个结点就是其右兄弟结点,否则转到步骤b)。b) 向上遍历父结点,深度减1,直到存在右兄弟结点或碰到子树根结点或不存在父结点,如果碰到子树根结点或不存在父结点,那么返回end,否则转到步骤c)。c) 向右遍历其右兄弟直到存在孩子结点为止,如果不存在右兄弟结点,那么转到步骤b),否则转到步骤c)。c) 向下遍历第一个孩子结点,深度加1,直到不存在孩子结点或深度达到为止,如果不存孩子结点,在这种情况下,如果存在右兄弟那么转到步骤c),否则转到步骤b)。代码如下:
1
template<typename T>
2
template<bool is_const,bool is_reverse>
3
inline void mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::forward_next()
4
{
5
node_pointer_type p_node = &(*tree_)[off_];
6
if (off_!=root_&&p_node->next_sibling_)
7
{
8
off_ += p_node->next_sibling_;
9
}
10
else
11
{
12
size_t curdepth = depth_;
13
upward:
14
while (off_!=root_&&p_node->parent_&&!p_node->next_sibling_)
15
{
16
off_ -= p_node->parent_;
17
p_node = &(*tree_)[off_];
18
--curdepth;
19
}
20
if (off_==root_||!p_node->parent_)
21
{
22
off_ = tree_->size();
23
return ;
24
}
25
downward:
26
off_ += p_node->next_sibling_; p_node = &(*tree_)[off_];
27
while (!p_node->first_child_)
28
{
29
if (!p_node->next_sibling_)
30
goto upward;
31
off_ += p_node->next_sibling_;
32
p_node = &(*tree_)[off_];
33
}
34
while(curdepth<depth_&&p_node->first_child_)
35
{
36
off_ += p_node->first_child_;
37
p_node = &(*tree_)[off_];
38
++curdepth;
39
}
40
if (curdepth<depth_)
41
{
42
if (p_node->next_sibling_) goto downward;
43
else goto upward;
44
}
45
}
46
}
(4)forward_prev:求正向前一个结点,步骤如下:a) 如果当前结点不是子树根结点且存在左兄弟结点,那么下一个结点就是其左兄弟结点,否则转到步骤b)。b) 向上遍历父结点,深度减1,直到存在左兄弟结点或碰到子树根结点或不存在父结点,如果碰到子树根结点或不存在父结点,那么返回end,否则转到步骤c)。c) 向左遍历其左右兄弟直到存在孩子结点为止,如果不存在左兄弟结点,那么转到步骤b),否则转到步骤c)。c) 向下遍历最后一个孩子结点,深度加1,直到不存在孩子结点或深度达到为止,如果不存孩子结点,在这种情况下,如果存在左兄弟那么转到步骤c),否则转到步骤b)。代码如下:
1
template<typename T>
2
template<bool is_const,bool is_reverse>
3
inline void mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::forward_prev()
4
{
5
node_pointer_type p_node = &(*tree_)[off_];
6
if (off_!=root_&&p_node->prev_sibling_)
7
{
8
off_ -= p_node->prev_sibling_;
9
}
10
else
11
{
12
size_t curdepth = depth_;
13
upward:
14
while (off_!=root_&&p_node->parent_&&!p_node->prev_sibling_)
15
{
16
off_ -= p_node->parent_;
17
p_node = &(*tree_)[off_];
18
--curdepth;
19
}
20
if (off_==root_||!p_node->parent_)
21
{
22
off_ = tree_->size();
23
return;
24
}
25
downward:
26
off_ -= p_node->prev_sibling_; p_node = &(*tree_)[off_];
27
while (!p_node->last_child_)
28
{
29
if (!p_node->prev_sibling_)
30
goto upward;
31
off_ -= p_node->prev_sibling_;
32
p_node = &(*tree_)[off_];
33
}
34
while (curdepth<depth_&&p_node->last_child_)
35
{
36
off_ += p_node->last_child_;
37
p_node = &(*tree_)[off_];
38
++curdepth;
39
}
40
if (curdepth<depth_)
41
{
42
if (p_node->prev_sibling_) goto downward;
43
else goto upward;
44
}
45
}
46
}
(5)构造函数的实现,代码如下:
1
template<typename T>
2
template<bool is_const,bool is_reverse>
3
inline mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::fd_iterator_impl()
4
:base_type()
5
{
6
root_ = 0;
7
}
8
template<typename T>
9
template<bool is_const,bool is_reverse>
10
inline mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::fd_iterator_impl(const base_type& iter,size_t depth)
11
:base_type(iter),depth_(depth)
12
{
13
root_ = off_;
14
}
(6)公有方法的实现,代码如下:
1
template<typename T>
2
template<bool is_const,bool is_reverse>
3
inline typename mtree<T,false>::template fd_iterator_impl<is_const,is_reverse>&
4
mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::operator++()
5
{
6
increment(typename reverse_trait<is_reverse>::type());
7
return *this;
8
}
9
template<typename T>
10
template<bool is_const,bool is_reverse>
11
inline typename mtree<T,false>::template fd_iterator_impl<is_const,is_reverse>&
12
mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::operator--()
13
{
14
decrement(typename reverse_trait<is_reverse>::type());
15
return *this;
16
}
17
template<typename T>
18
template<bool is_const,bool is_reverse>
19
inline typename mtree<T,false>::template fd_iterator_impl<is_const,is_reverse>
20
mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::operator++(int)
21
{
22
fd_iterator_impl<is_const,is_reverse> iter(*this);
23
--(*this);
24
return iter;
25
}
26
template<typename T>
27
template<bool is_const,bool is_reverse>
28
inline typename mtree<T,false>::template fd_iterator_impl<is_const,is_reverse>
29
mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::operator--(int)
30
{
31
fd_iterator_impl<is_const,is_reverse> iter(*this);
32
--(*this);
33
return iter;
34
}
35
template<typename T>
36
template<bool is_const,bool is_reverse>
37
inline typename mtree<T,false>::template fd_iterator_impl<is_const,is_reverse>
38
mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::operator + (size_t off)
39
{
40
fd_iterator_impl<is_const,is_reverse> iter(*this);
41
iter += off;
42
return iter;
43
}
44
template<typename T>
45
template<bool is_const,bool is_reverse>
46
inline typename mtree<T,false>::template fd_iterator_impl<is_const,is_reverse>&
47
mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::operator += (size_t off)
48
{
49
while (off)
50
{
51
if (base_type::is_null()) break;
52
++(*this); --off;
53
}
54
return *this;
55
}
56
template<typename T>
57
template<bool is_const,bool is_reverse>
58
inline typename mtree<T,false>::template fd_iterator_impl<is_const,is_reverse>
59
mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::operator - (size_t off)
60
{
61
fd_iterator_impl<is_const,is_reverse> iter(*this);
62
iter -= off;
63
return iter;
64
}
65
template<typename T>
66
template<bool is_const,bool is_reverse>
67
inline typename mtree<T,false>::template fd_iterator_impl<is_const,is_reverse>&
68
mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::operator -= (size_t off)
69
{
70
while (off)
71
{
72
if (base_type::is_null()) break;
73
--(*this); --off;
74
}
75
return *this;
76
}
77
template<typename T>
78
template<bool is_const,bool is_reverse>
79
inline typename mtree<T,false>::template fd_iterator_impl<is_const,is_reverse>
80
mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::begin() const
81
{
82
fd_iterator_impl<is_const,is_reverse> iter(*this);
83
iter.first(typename reverse_trait<is_reverse>::type());
84
return iter;
85
}
86
template<typename T>
87
template<bool is_const,bool is_reverse>
88
inline typename mtree<T,false>::template fd_iterator_impl<is_const,is_reverse>
89
mtree<T,false>::fd_iterator_impl<is_const,is_reverse>::end() const
90
{
91
fd_iterator_impl<is_const,is_reverse> iter(*this);
92
if (tree_)
93
{
94
iter.off_ = tree_->size();
95
}
96
return iter;
97
}
使用示例
(1)正向遍历某子树某深度上的所有结点,代码如下:
1
mtree<int,false>::iterator_base root; size_t depth;
2
mtree<int,false>::fd_iterator it(root,depth);
3
mtree<int,false>::fd_iterator last = --it.end();
4
for (it = it.begin();it!=it.end();++it)
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{
6
cout << *it;
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if (it!=last)
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cout <<" ";
9
}
(2)反向遍历某子树某深度上的所有结点,代码如下:
1
mtree<int,false>::iterator_base root; size_t depth;
2
mtree<int,false>::reverse_fd_iterator r_it(root,depth);
3
mtree<int,false>::reverse_fd_iterator r_last = --r_it.end();
4
for (r_it = r_it.begin();r_it!=r_it.end();++r_it)
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{
6
cout << *r_it;
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if (r_it!=r_last)
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cout <<" ";
9
}
posted on 2011-10-03 17:52
春秋十二月 阅读(3157)
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Algorithm