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爪哇国新游记之二十二----算术表达式计算求值

代码:

import java.util.ArrayList;import java.util.List;// 辅助类class Item{    String value;    boolean isNumber;        public Item(String value,boolean isNumber){        this.value=http://www.mamicode.com/value;        this.isNumber=isNumber;    }        public Item(char c,boolean isNumber){        this.value=http://www.mamicode.com/String.valueOf(c);        this.isNumber=isNumber;    }        public String toString(){        return ""+value+" & "+isNumber;    }}/** * 算术表达式求值 */public class ArithCaculator{    private String line;// 输入的算式    private String result;// 计算得到的结果        public ArithCaculator(String line){        this.line=line;        int length=line.length();

// 得到包含数字和操作符的列表 List<Item> ls=new ArrayList<Item>(); String str=""; for(int i=0;i<length;i++){ char ch=line.charAt(i); if((ch>=‘0‘ && ch<=‘9‘) || ch==‘.‘){ str+=ch; }else if(ch==‘+‘ || ch==‘-‘ || ch==‘*‘ || ch==‘/‘ || ch==‘(‘ || ch==‘)‘ ){ if(str.length()>0){ ls.add(new Item(str,true)); str=""; } ls.add(new Item(ch,false)); } if(i==length-1 && str.length()>0){ ls.add(new Item(str,true)); } } // 得到后序表达式 ls=getPostfix(ls); // 计算后序表达式 this.result=getValue(ls); } // 对后序表达式进行计算 private String getValue(List<Item> ls){ Stack<Item> stack=new Stack<Item>(Item.class,ls.size()); double result; for(Item it:ls){ if(it.isNumber){ stack.push(it); }else{ // 栈先进后出所以颠倒 double op2=Double.parseDouble(stack.pop().value); double op1=Double.parseDouble(stack.pop().value); result=0; char ch=it.value.charAt(0); if(ch==‘+‘){ result=op1+op2; }else if(ch==‘-‘){ result=op1-op2; }else if(ch==‘*‘){ result=op1*op2; }else if(ch==‘/‘){ result=op1/op2; } stack.push(new Item(String.valueOf(result),true)); } } return stack.pop().value; } // 得到后序表达式 private List<Item> getPostfix(List<Item> ls){ List<Item> retval=new ArrayList<Item>(); Stack<Character> stack=new Stack<Character>(Character.class,ls.size()); for(Item it:ls){ if(it.isNumber){ retval.add(it); }else{ if("+".equals(it.value) || "-".equals(it.value) ){ gotOper(stack,retval,it.value,1); }else if("*".equals(it.value) || "/".equals(it.value) ){ gotOper(stack,retval,it.value,2); }else if("(".equals(it.value)){ stack.push(‘(‘); }else if(")".equals(it.value)){ gotParen(stack,retval,‘)‘); } } } while(stack.isEmpty()==false){ retval.add(new Item(stack.pop(),false)); } return retval; } private void gotOper(Stack<Character> stack,List<Item> ls,String opThis,int prec){ while(stack.isEmpty()==false){ char opTop=stack.pop(); if(opTop==‘(‘){ stack.push(opTop); break; }else{ int prec2=2; if(opTop==‘+‘ || opTop==‘-‘){ prec2=1; } if(prec2<prec){ stack.push(opTop); break; }else{ ls.add(new Item(opTop,false)); } } } stack.push(opThis.charAt(0)); } private void gotParen(Stack<Character> stack,List<Item> ls,char ch){ while(stack.isEmpty()==false){ char chTop=stack.pop(); if(chTop==‘(‘){ break; }else{ ls.add(new Item(chTop,false)); } } } public String getLine() { return line; } public String getResult() { return result; } public static void main(String[] args){ String[] arr=new String[]{"2+3+5","2+(3*5)-6","4+5*(1+2)","1*2+3*4","(3+4)*5/2+33","5+17+12.5","8.0/(3.0-(8.0/3.0))","((10.0*10.0)-4.0)/4.0"}; for(String str:arr){ ArithCaculator a=new ArithCaculator(str); System.out.println(a.getLine()+"="+a.getResult()); } }}

输出:

2+3+5=10.02+(3*5)-6=11.04+5*(1+2)=19.01*2+3*4=14.0(3+4)*5/2+33=50.55+17+12.5=34.58.0/(3.0-(8.0/3.0))=23.99999999999999((10.0*10.0)-4.0)/4.0=24.0