中缀表达式转后缀表达式之桟操作版

rex posted @ Sep 26, 2009 06:56:29 AM in 离散数学 with tags c++ 算法 笔记 STL , 3183 readers

感觉这个小问题还挺有用的。我在研究正则表达式源码时又遇到一次。于是使用紙笔写个程序，演算无误。打开清华版的数据结构一书113页，思路暗同。借用了清华书的isp与icp函数。

程序仍有可改进之处，例如computer函数。其实可以加入单操作符运算。

#include<iostream>
#include<stack>
#include<string>
using namespace std;

bool computer(std::stack<double>& d,const char c)
{
	// c is the opertor
	double x, y;
	if (d.size()<2)
	{
		return false;
	}

	y=d.top();
	d.pop();
	x=d.top();
	d.pop();
    cout<<"now computing: "<<x<<c<<y<<endl;
	switch(c)
	{
	case '+':
		x+=y;
		break;
	case '-':
		x-=y;
		break;
	case '*':
		x*=y;
		break;
	case '/':
		if (y==0)
		{
			cerr<<"div by zero"<<endl;
			return false;
		}
		x/=y;		
		break;
	}
	d.push(x);
    cout<<"result is: "<<d.top()<<endl;
	return true;
}

double factor(string& s,stack<double>& d)
{
	double value=0;
	unsigned int pos=0;		//string position	

	
	while(pos!=s.length() && isdigit(s[pos]))
	{
		value=value*10+(int)(s[pos++]-'0');
	}

	if (s[pos]=='.')
	{
		pos++;
		double factor=0.1;
		while(pos!=s.length() && isdigit(s[pos]))
		{
			value+=factor*(double)(s[pos++] -'0');
			factor*=0.1;
		}
	}
	else if (s[pos]=='(')
	{
		s=s.substr(1);			
		if (s[0]!=')')
		{
			cerr<<"error!"<<endl;
			return 0;
		}
		else
		{
			s=s.substr(1);
		}
		if (d.empty())
		{
			return 0;
		}
		else
		{
			value=d.top();
			d.pop();
			return value;
		}
	}
	s=s.substr(pos);

	return value;
}

int isp(char ch)
{

	switch(ch)
	{
		case '#':
			return 0;
			break;
		case '(':
			return 1;
			break;
		case '^':
			return 7;
			break;
		case '*':
		case '/':
		case '%':
			return 5;
			break;
		case '+':
		case '-':
			return 3;
			break;
		case ')':
			return 8;
			break;
		default:
			return -1;
			break;
	}
}

int icp(char ch)
{

	switch(ch)
	{
		case '#':
			return 0;
			break;
		case '(':
			return 8;
			break;
		case '^':
			return 6;
			break;
		case '*':
		case '/':
		case '%':
			return 4;
			break;
		case '+':
		case '-':
			return 2;
			break;
		case ')':
			return 1;
			break;
		default:
			return -1;
			break;
	}
}

bool is_op(char ch)
{
	return (ch=='*' || ch=='/' || ch=='+' || ch=='-')?true:false;
}

int main()
{
	string s("2*3+5/(2*(3-2)*4)");
	stack<char> op;
	stack<double> num;
    cout<<s<<endl;
	while(!s.empty())
	{
		char ch=s[0];
		if (isdigit(ch))
		{
			double value=factor(s,num);
			//cout<<value<<endl;
			num.push(value);
			continue;
		}
		else if (op.empty() && is_op(ch))
		{
			op.push(ch);
		//	cout<<"push ch to empty stack "<<ch<<endl;
		}
		else if (ch=='(')
		{
			op.push(ch);
		}
		else if (ch==')')
		{
			char tmp=op.top();
			while(isp(tmp)>icp(ch) && tmp!='(')
			{
				computer(num,tmp);
				op.pop();//computer
				tmp=op.top();
			}
			if (tmp=='(')
            {
                op.pop();
            }
            //op.push(ch);
        }
        else
        {
            if (isp(op.top())>icp(ch))
            {
                computer(num,op.top());
                op.pop();
            }
            op.push(ch); 
        }
		s=s.substr(1);
	}
    while(!op.empty())
    {
        computer(num,op.top());
        op.pop();
    }
    while(!num.empty())
    {
        cout<<num.top()<<endl;
        num.pop();
    }
	cout<<"hello world"<<endl;
}

 

 

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