using System;
using System.Collections.Generic;
using System.Linq;
namespace NewLife.Expressions
{
/*
* (1)若取出的字符是操作数,则分析出完整的运算数,该操作数直接送入S2栈
* (2)若取出的字符是运算符,则将该运算符与S1栈栈顶元素比较,如果该运算符优先级大于S1栈栈顶运算符优先级,则将该运算符进S1栈,否则,将S1栈的栈顶运算符弹出,送入S2栈中,直至S1栈栈顶运算符低于(不包括等于)该运算符优先级,最后将该运算符送入S1栈。
* (3)若取出的字符是“(”,则直接送入S1栈顶。
* (4)若取出的字符是“)”,则将距离S1栈栈顶最近的“(”之间的运算符,逐个出栈,依次送入S2栈,此时抛弃“(”。
* (5)重复上面的1~4步,直至处理完所有的输入字符
* (6)若取出的字符是“#”,则将S1栈内所有运算符(不包括“#”),逐个出栈,依次送入S2栈。
*/
/// <summary>逆波兰表达式</summary>
public abstract class RpnExpression
{
/// <summary>左括号</summary>
public static readonly Char LeftBracket = '(';
/// <summary>右括号</summary>
public static readonly Char RightBracket = ')';
/// <summary>连接符</summary>
public static readonly Char JoinChar = ',';
/// <summary>空格</summary>
public static readonly Char EmptyChar = ' ';
/// <summary>操作符数组</summary>
public Char[] OperationChars { get; protected set; }
/// <summary>是否括号</summary>
/// <param name="ch"></param>
/// <returns></returns>
public Boolean IsBracket(String ch)
{
return ch == LeftBracket.ToString() || ch == RightBracket.ToString();
}
/// <summary>是否括号</summary>
/// <param name="ch"></param>
/// <returns></returns>
public Boolean IsBracket(Char ch)
{
return ch == LeftBracket || ch == RightBracket;
}
/// <summary>计算操作等级</summary>
/// <param name="op"></param>
/// <returns></returns>
public abstract Int32 GetOperationLevel(String op);
/// <summary>是否括号匹配</summary>
/// <param name="expression"></param>
/// <returns></returns>
public Boolean IsBracketMatch(String expression)
{
if (String.IsNullOrWhiteSpace(expression)) return true;
var stack = new Stack<Char>();
for (var i = 0; i < expression.Length; i++)
{
var ch = expression[i];
if (!IsBracket(ch)) continue;
// 左括号压栈
if (ch == LeftBracket)
{
stack.Push(LeftBracket);
}
// 右括号弹栈
else
{
// 无法匹配则失败
if (stack.Count == 0) return false;
if (stack.Pop() != LeftBracket) return false;
}
}
return stack.Count == 0;
}
/// <summary>适配器和替换</summary>
/// <param name="expression"></param>
/// <returns></returns>
protected virtual String AdapteAndReplace(String expression) { return expression; }
/// <summary>值</summary>
public String Value { get; private set; }
/// <summary>将中缀表达式转换为逆波兰表达式</summary>
/// <param name="expression">标准中缀表达式</param>
/// <returns>标准逆波兰表达式</returns>
public String ToExpression(String expression)
{
if (String.IsNullOrWhiteSpace(expression)) return String.Empty;
var val = AdapteAndReplace(expression);
Value = val;
if (String.IsNullOrWhiteSpace(val)) return String.Empty;
if (!IsBracketMatch(val)) throw new ArgumentException("括号不匹配!");
var arr = val.Split(OperationChars, StringSplitOptions.RemoveEmptyEntries);
if (!IsValid(arr)) return String.Empty;
var ops = new Stack<String>();
var outs = new Stack<String>();
var idx = 0;
var p = 0;
while (idx < val.Length)
{
var ch = val.Substring(idx, 1);
var level = GetOperationLevel(ch);
if (ch == EmptyChar.ToString())
{
idx++;
continue;
}
// 操作数入栈
if (level < 0)
{
outs.Push(arr[p]);
idx += arr[p].Length;
p++;
continue;
}
// 运算符入栈
if (ops.Count == 0)
{
ops.Push(ch);
idx++;
continue;
}
// 括号
if (IsBracket(ch))
{
// 左括号入栈
if (ch == LeftBracket.ToString())
{
ops.Push(ch);
idx++;
}
else
{
// 处理(),括号里面不存在任何内容的情况
if (ops.Peek() == LeftBracket.ToString())
{
idx++;
ops.Pop();
continue;
}
idx++;
// 处理右括号,一直检测到左括号
while (ops.Peek() != LeftBracket.ToString())
{
outs.Push(ops.Pop());
if (ops.Count == 0) break;
}
// 删除左括号
if (ops.Count == 0) throw new ArgumentException("括号不匹配!");
ops.Pop();
}
continue;
}
var operation = ops.Peek();
// 运算字符比运算符堆栈最后的级别高 直接推入运算符堆栈
if (level > GetOperationLevel(operation))
{
ops.Push(ch);
idx++;
}
else
{
// 运算字符不高于运算符堆栈最后的级别,则将运算符堆栈出栈,直到比其高为止
while (level <= GetOperationLevel(operation))
{
outs.Push(operation);
ops.Pop();
if (ops.Count == 0) break;
operation = ops.Peek();
}
ops.Push(ch);
idx++;
}
}
while (ops.Count > 0)
{
outs.Push(ops.Pop());
}
if (outs.Count == 0) return String.Empty;
return String.Join(JoinChar.ToString(), outs.ToArray().Reverse());
}
/// <summary>是否有效</summary>
/// <param name="splitArray"></param>
/// <returns></returns>
public abstract Boolean IsValid(String[] splitArray);
/// <summary>编译计算</summary>
/// <param name="expression"></param>
/// <param name="args"></param>
/// <returns></returns>
public abstract Object Complie(String expression, params Object[] args);
}
}
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