#pragma once
#include "Thompson.h"
int STATE_NUM = 0;
/**表达式转NFA处理函数,返回最终的NFA结合
*/
cell express_2_NFA(string expression)
{
int length = expression.size();
char element;
cell Cell, Left, Right;
stack<cell> STACK;
for (int i = 0; i<length; i++)
{
element = expression.at(i);
switch (element)
{
case '|':
Right = STACK.top();
STACK.pop();
Left = STACK.top();
STACK.pop();
Cell = do_Unite(Left, Right);
STACK.push(Cell);
break;
case '*':
Left = STACK.top();
STACK.pop();
Cell = do_Star(Left);
STACK.push(Cell);
break;
case '+':
Right = STACK.top();
STACK.pop();
Left = STACK.top();
STACK.pop();
Cell = do_Join(Left, Right);
STACK.push(Cell);
break;
default:
Cell = do_Cell(element);
STACK.push(Cell);
}
}
cout << "处理完毕!" << endl;
Cell = STACK.top();
STACK.pop();
return Cell;
}
//处理 a|b
cell do_Unite(cell Left, cell Right)
{
cell NewCell;
NewCell.EdgeCount = 0;
edge Edge1, Edge2, Edge3, Edge4;
//获得新的新状态节点
state StartState = new_StateNode();
state EndState = new_StateNode();
//构建边
Edge1.StartState = StartState;
Edge1.EndState = Left.EdgeSet[0].StartState;
Edge1.TransSymbol = '#'; //代表空串
Edge2.StartState = StartState;
Edge2.EndState = Right.EdgeSet[0].StartState;
Edge2.TransSymbol = '#';
Edge3.StartState = Left.EdgeSet[Left.EdgeCount - 1].EndState;
Edge3.EndState = EndState;
Edge3.TransSymbol = '#';
Edge4.StartState = Right.EdgeSet[Right.EdgeCount - 1].EndState;
Edge4.EndState = EndState;
Edge4.TransSymbol = '#';
//构建单元
//先将Left和Right的EdgeSet复制到NewCell
cell_EdgeSet_Copy(NewCell, Left);
cell_EdgeSet_Copy(NewCell, Right);
//将新构建的四条边加入EdgeSet
NewCell.EdgeSet[NewCell.EdgeCount++] = Edge1;
NewCell.EdgeSet[NewCell.EdgeCount++] = Edge2;
NewCell.EdgeSet[NewCell.EdgeCount++] = Edge3;
NewCell.EdgeSet[NewCell.EdgeCount++] = Edge4;
//构建NewCell的启示状态和结束状态
NewCell.StartState = StartState;
NewCell.EndState = EndState;
return NewCell;
}
//处理 ab
cell do_Join(cell Left, cell Right)
{
//将Left的结束状态和Right的开始状态合并,将Right的边复制给Left,将Left返回
//将Right中所有以StartState开头的边全部修改
for (int i = 0; i<Right.EdgeCount; i++)
{
if (Right.EdgeSet[i].StartState.StateName.compare(Right.StartState.StateName) == 0)
{
Right.EdgeSet[i].StartState = Left.EndState;
STATE_NUM--;
}
else if (Right.EdgeSet[i].EndState.StateName.compare(Right.StartState.StateName) == 0)
{
Right.EdgeSet[i].EndState = Left.EndState;
STATE_NUM--;
}
}
Right.StartState = Left.EndState;
cell_EdgeSet_Copy(Left, Right);
//将Left的结束状态更新为Right的结束状态
Left.EndState = Right.EndState;
return Left;
}
//处理 a*
cell do_Star(cell Cell)
{
cell NewCell;
NewCell.EdgeCount = 0;
edge Edge1, Edge2, Edge3, Edge4;
//获得新的新状态节点
state StartState = new_StateNode();
state EndState = new_StateNode();
//构建边
Edge1.StartState = StartState;
Edge1.EndState = EndState;
Edge1.TransSymbol = '#'; //闭包取空串
Edge2.StartState = Cell.EndState;
Edge2.EndState = Cell.StartState;
Edge2.TransSymbol = '#'; //取字符,自连接
Edge3.StartState = StartState;
Edge3.EndState = Cell.StartState;
Edge3.TransSymbol = '#';
Edge4.StartState = Cell.EndState;
Edge4.EndState = EndState;
Edge4.TransSymbol = '#';
//构建单元
//先将Cell的EdgeSet复制到NewCell
cell_EdgeSet_Copy(NewCell, Cell);
//将新构建的四条边加入EdgeSet
NewCell.EdgeSet[NewCell.EdgeCount++] = Edge1;
NewCell.EdgeSet[NewCell.EdgeCount++] = Edge2;
NewCell.EdgeSet[NewCell.EdgeCount++] = Edge3;
NewCell.EdgeSet[NewCell.EdgeCount++] = Edge4;
//构建NewCell的启示状态和结束状态
NewCell.StartState = StartState;
NewCell.EndState = EndState;
return NewCell;
}
//处理 a
cell do_Cell(char element)
{
cell NewCell;
NewCell.EdgeCount = 0;
edge NewEdge;
//获得新的新状态节点
state StartState = new_StateNode();
state EndState = new_StateNode();
//构建边
NewEdge.StartState = StartState;
NewEdge.EndState = EndState;
NewEdge.TransSymbol = element;
//构建单元
NewCell.EdgeSet[NewCell.EdgeCount++] = NewEdge;
NewCell.StartState = NewCell.EdgeSet[0].StartState;
NewCell.EndState = NewCell.EdgeSet[0].EndState;//EdgeCount此时为1
return NewCell;
}
void cell_EdgeSet_Copy(cell& Destination, cell Source)
{
int D_count = Destination.EdgeCount;
int S_count = Source.EdgeCount;
for (int i = 0; i<S_count; i++)
{
Destination.EdgeSet[D_count + i] = Source.EdgeSet[i];
}
Destination.EdgeCount = D_count + S_count;
}
/*
获得新的状态节点,统一产生,便于管理,不能产生重复的状态
并添加到state_set[]数组中
*/
state new_StateNode()
{
state newState;
newState.StateName = STATE_NUM + 65;//转换成大写字母
STATE_NUM++;
return newState;
}
//接收输入正规表达式,RegularExpression作为回传函数
void input(string &RegularExpression)
{
cout << "请输入正则表达式: (操作符:() * |;字符集:a~z A~Z)" << endl;
do
{
cin >> RegularExpression;
} while (!check_legal(RegularExpression));
}
/**检测输入的正则表达式是否合法
*/
int check_legal(string check_string)
{
if (check_character(check_string) && check_parenthesis(check_string))
{
return true;
}
return false;
}
/**
检查输入的字符是否合适 () * | a~z A~Z
合法返回true,非法返回false
*/
int check_character(string check_string)
{
int length = check_string.size();
for (int i = 0; i<length; i++)
{
char check = check_string.at(i);
if (is_letter(check))//小写和大写之间有5个字符,故不能连续判断
{
//cout<<"字母 合法";
}
else if (check == '(' || check == ')' || check == '*' || check == '|')
{
//cout<<"操作符 合法";
}
else
{
cout << "含有不合法的字符!" << endl;
cout << "请重新输入:" << endl;
return false;
}
}
return true;
}
/**先检查括号是否匹配
*合法返回true,非法返回false
*/
int check_parenthesis(string check_string)
{
int length = check_string.size();
char * check = new char[length+1];
strcpy_s(check, length+1, check_string.c_str());
stack<int> STACK;
for (int i = 0; i<length; i++)
{
if (check[i] == '(')
STACK.push(i);
else if (check[i] == ')')
{
if (STACK.empty())
{
cerr << "有多余的右括号" << endl;//暂时不记录匹配位置location
cout << "请重新输入:" << endl;
return false;
}
else
STACK.pop();
}
}
if (!STACK.empty())
{
//暂时不记录匹配位置location
cerr << "有多余的左括号" << endl;
cout << "请重新输入:" << endl;
return false;
}
return true;
}
/**检测是否是字母
是返回true,否则false
*/
int is_letter(char check)
{
if (check >= 'a'&&check <= 'z' || check >= 'A'&&check <= 'Z')
return true;
return false;
}
/**添加交操作符“+”,便于中缀转后缀表达式
例如 abb->a+b+b
*/
string add_join_symbol(string add_string)
{
/* 测试终止符\0
string check_string = "abcdefg\0aaa";
cout<<check_string<<endl;
int length = check_string.size();
char * check = new char[2*length];
strcpy(check,check_string.c_str());
cout<<check<<endl;
char *s = "ssss\0 aa";
cout<<s<<endl;
string a(s);
cout<<a<<endl;
*/
int length = add_string.size();
int return_string_length = 0;
char *return_string = new char[2 * length+2];//最多是两倍
char first, second;
for (int i = 0; i<length - 1; i++)
{
first = add_string.at(i);
second = add_string.at(i + 1);
return_string[return_string_length++] = first;
//要加的可能性如ab 、 *b 、 a( 、 )b 等情况
//若第二个是字母、第一个不是'('、'|'都要添加
if (first != '('&&first != '|'&&is_letter(second))
{
return_string[return_string_length++] = '+';
}
//若第二个是'(',第一个不是'|'、'(',也要加
else if (second == '('&&first != '|'&&first != '(')
{
return_string[return_string_length++] = '+';
}
}
//将最后一个字符写入
return_string[retur