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#include <iostream>
#include <string>
#include <vector>
#include <map>
using namespace std;
struct
{
int utype;
union
{
int ref;
struct *hlink;
char value;
}info;
struct *tlink;
Gen(int u);
Gen(int u, char v);
Gen(int u, int r);
};
Gen::Gen(int u) :utype(u), tlink(nullptr)
{
info.hlink = nullptr;
}
Gen::Gen(int u, int r) :utype(u), tlink(nullptr)
{
info.ref = r;
}
Gen::Gen(int u, char v) :utype(u), tlink(nullptr)
{
info.value = v;
}
class info
{
public:
vector<int> left;
vector<int> right;
Gen *share = nullptr;
vector<int>::size_type position = 0;
};
void creatsharelist(string &glist, map<string, info> &sharelist);
map<string, info>::iterator Search(int left, map<string, info> &sharelist);
int main()
{
string glist;
cout << "请输入广义表的字符串形式" << endl;
cin >> glist;
map<string, info> sharelist;
creatsharelist(glist, sharelist);
Gen *ptr = nullptr; vector<Gen *> stack; bool TF;
int ref = 0;
for (string::size_type i = 0; i != glist.size(); ++i)
{
if (glist[i] == '(')
{
if (i == 0)
{
ptr = new Gen(0, 0);
stack.push_back(ptr);
TF = true;
}
else
{
Gen *temp = new Gen(1);
if (ptr->utype == 1)
{
if (TF == true)
ptr->info.hlink->tlink = temp;
else
ptr->tlink = temp;
}
else
{
ptr->tlink = temp;
}
auto p = Search(i + 1, sharelist);
if (p != sharelist.end() && p->second.share != nullptr)
{
temp->info.hlink = p->second.share;
++p->second.share->info.ref;
TF = false;
ptr = temp;
i = p->second.right[p->second.position-1]-1;
continue;
}
else
{
stack.push_back(temp);
TF = true;
ptr = temp;
temp = new Gen(0, 1);
ptr->info.hlink = temp;
if (p != sharelist.end())
p->second.share = ptr->info.hlink;
}
}
}
else
{
if (glist[i] == ')')
{
ptr = stack[stack.size() - 1];
stack.pop_back();
TF = false;
}
else
{
if (glist[i] != ',')
{
Gen *temp = new Gen(2, glist[i]);
if (ptr->utype == 1)
{
if (TF == true)
ptr->info.hlink->tlink = temp;
else
ptr->tlink = temp;
}
else
{
ptr->tlink = temp;
}
ptr = temp;
}
}
}
}
cout << "已将广义表的字符串形式转换为带附加头节点的链表形式" << endl;
cout << "链表表示对应的广义表形式为:" << endl;
TF = true;
while (true)
{
if (ptr != nullptr && (ptr->utype == 0 || ptr->utype == 1))
{
if (TF == true)
{
if (ptr->utype == 0)
{
if (ptr->info.ref == 0)
{
stack.push_back(ptr);
cout << "(";
}
ptr = ptr->tlink;
}
else
{
stack.push_back(ptr);
cout << "(";
ptr = ptr->info.hlink;
}
}
else
{
if (ptr->utype == 0)
break;
else
{
ptr = ptr->tlink;
TF = true;
}
}
}
else
{
if (ptr == nullptr)
{
cout << ")";
ptr = stack[stack.size() - 1];
if (ptr->utype != 0 && ptr->tlink != nullptr)
cout << ",";
stack.pop_back();
TF = false;
}
else
{
cout << ptr->info.value;
ptr = ptr->tlink;
if (ptr != nullptr)
cout << ",";
}
}
}
cout << endl;
return 0;
}
void creatsharelist(string &glist, map<string, info> &sharelist)
{
vector<int> stack;
int total = 0;
for (const auto &s : glist)
{
if (s == '(')
{
++total;
stack.push_back(total);
}
else if (s == ')')
{
++total;
string temp = glist.substr(stack[stack.size() - 1] - 1, total - stack[stack.size() - 1] + 1);
auto p = sharelist.find(temp);
if (p == sharelist.end())
{
auto q = sharelist.insert(make_pair(temp, *(new info)));
q.first->second.left.push_back(stack[stack.size() - 1]);
q.first->second.right.push_back(total);
}
else
{
p->second.left.push_back(stack[stack.size() - 1]);
p->second.right.push_back(total);
}
stack.pop_back();
}
else
{
++total;
}
}
auto m = sharelist.begin();
while (m != sharelist.end())
{
if (m->second.left.size() == 1)
m = sharelist.erase(m);
else
++m;
}
}
map<string, info>::iterator Search(int left, map<string, info> &sharelist)
{
auto p = sharelist.begin();
for (; p != sharelist.end(); ++p)
{
if (p->second.left.size() != p->second.position && p->second.left[p->second.position] == left)
{
++p->second.position;
return p;
}
}
return p;
}
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