知识点:
1.System.Math.Pow() 实现乘方
2.实现计算器的运算优先级,依次调用的流程
问题:
还未实现“()”功能
解决方案
UI:
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" alt="" />aaarticlea/png;base64,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alt="" />
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Text;
using System.Windows.Forms; namespace CaculationTest
{
public partial class Form1 : Form
{
public Form1()
{
InitializeComponent();
} private void button_Click(object sender, EventArgs e)
{
var text=((Button)sender).Text;
if (text == "=")
{
Evaluate();
}
else
{
txtExpression.Text = txtExpression.Text + text;
}
} private void Evaluate()
{
txtExpression.Text = new Caculator().Evaluate(txtExpression.Text).ToString();
} private void button16_Click(object sender, EventArgs e)
{
txtExpression.Clear();
} }
}
Form1.cs
using System;
using System.Collections.Generic;
using System.Text; namespace CaculationTest
{
enum TokenType
{
Add,Sub,
Mul,Div,
Int,
Expo,
Start,End
} class Token
{
public TokenType Type;
public object Value; public Token(TokenType type , object value = null)
{
Type = type;
Value = value;
}
}
}
Token.cs
using System;
using System.Collections.Generic;
using System.Text; namespace CaculationTest
{
/// <summary> </summary>
abstract class Expression
{
public abstract int GetValue();
} class UnaryExpress : Expression
{
int _value; public UnaryExpress(int value)
{
_value = value;
} public override int GetValue()
{
return _value;
}
} class BinaryExpression : Expression
{
TokenType _tokenType;
int _left;
int _right; public BinaryExpression(TokenType tokenType, Expression left, Expression right)
{
_tokenType = tokenType;
_left = left.GetValue();
_right = right.GetValue();
} public override int GetValue()
{
switch (_tokenType)
{
case TokenType.Add:
return _left + _right;
case TokenType.Sub:
return _left - _right;
case TokenType.Mul:
return _left * _right;
case TokenType.Div:
return _left / _right;
case TokenType.Expo:
return Convert.ToInt32(Math.Pow(_left,_right));
default:
throw new Exception("unexceptional token!");
}
}
}
}
Expression.cs
using System;
using System.Collections.Generic;
using System.Text; namespace CaculationTest
{
/// <summary> </summary>
class Caculator
{
string _exp; int _pos;
Token _token;
int _len; public int Evaluate(string expression)
{
_exp = expression;
_len = expression.Length;
var exp = ParseExpression();
return exp.GetValue();
} Expression ParseExpression()
{
//先解析一次,解析内容存在_token中
ParseToken();
return ParseAddSub();
} //解析加减
Expression ParseAddSub()
{
//左操作数为优先级理高的运算符
var l = ParseMulDiv();
while (_token.Type == TokenType.Add || _token.Type == TokenType.Sub)
{
var t = _token.Type;
ParseToken();
var r = ParseMulDiv();//解析右操作数
l = new BinaryExpression(t, l, r);
}
return l;
} #region 老逻辑
////解析乘除
//Expression ParseMulDiv()
//{
// var l = ParseUnary();
// while (_token.Type == TokenType.Mul || _token.Type == TokenType.Div)
// {
// var t = _token.Type;
// ParseToken();
// var r=ParseUnary();
// l = new BinaryExpression(t, l, r);
// }
// return l;
//}
#endregion //解析乘除
Expression ParseMulDiv()
{
var l = ParseExpo();
while (_token.Type == TokenType.Mul || _token.Type == TokenType.Div)
{
var t = _token.Type;
ParseToken();
var r = ParseExpo();
l = new BinaryExpression(t, l, r);
}
return l;
} //解析乘方
Expression ParseExpo()
{
var l = ParseUnary();
while (_token.Type==TokenType.Expo)
{
var t = _token.Type;
ParseToken();
var r = ParseUnary();
l = new BinaryExpression(t, l, r);
}
return l;
} //解析一元表达式(目前只有单个整数)
Expression ParseUnary()
{
Expression ret = null;
if (_token.Type == TokenType.Int)
{
ret= new UnaryExpress((int)_token.Value);
} //解析完int后,移到下一个token处,即+-*/
ParseToken();
return ret;
} void ParseToken()
{
//已结束
if (_pos >= _len)
{
_token= new Token(TokenType.End);
return;
} //跳过空格
while (_exp[_pos] == ' ')
{
_pos++;
} //如果以数字开头,解析整数
if (_exp[_pos] >= '' && _exp[_pos] <= '')
{
for (int i = ; i + _pos <= _len; i++)
{
//如果以数字结尾,或者到达了数字的边界
if( i+_pos==_len||(_exp[_pos + i] < '' || _exp[_pos + i] > ''))
{
var intStr = _exp.Substring(_pos, i);
var value = int.Parse(intStr);
_token= new Token(TokenType.Int, value);
_pos += i; //解析成功后,更新当前位置
break;
}
}
}
else
{
switch (_exp[_pos])
{
case '+':
_token=new Token(TokenType.Add);
break;
case '-':
_token = new Token(TokenType.Sub);
break;
case '*':
_token=new Token(TokenType.Mul);
break;
case '/':
_token = new Token(TokenType.Div);
break;
case '^':
_token=new Token(TokenType.Expo);
break;
default:
throw new Exception("unexpected token: " + _exp[_pos]);
}
_pos++;//解析成功后,更新当前位置
}
} }
}
Calculator.cs
验证结果
aaarticlea/png;base64,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" 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