首页 > 技术文章 > 逆波兰计算器完整版

niujifei 2019-09-28 14:35 原文

逆波兰计算器完整版

  完整版的逆波兰计算器,功能包括:

  (1)支持+,-,*,/,()

  (2)支持多位数,支持小数

  (3)兼容处理,过滤任何空白字符,包括空格、制表符,换页符

  代码实现:

  1 import java.util.ArrayList;
  2 import java.util.Collections;
  3 import java.util.List;
  4 import java.util.Stack;
  5 import java.util.regex.Pattern;
  6 
  7 public class ReversePolishMultiCalc {
  8 
  9      /**
 10      * 匹配 + - * / ( ) 运算符
 11      */
 12     static final String SYMBOL = "\\+|-|\\*|/|\\(|\\)";
 13 
 14     static final String LEFT = "(";
 15     static final String RIGHT = ")";
 16     static final String ADD = "+";
 17     static final String MINUS= "-";
 18     static final String TIMES = "*";
 19     static final String DIVISION = "/";
 20 
 21     /**
 22      * 加減 + -
 23      */
 24     static final int LEVEL_01 = 1;
 25     /**
 26      * 乘除 * /
 27      */
 28     static final int LEVEL_02 = 2;
 29 
 30     /**
 31      * 括号
 32      */
 33     static final int LEVEL_HIGH = Integer.MAX_VALUE;
 34 
 35 
 36     static Stack<String> stack = new Stack<>();
 37     static List<String> data = Collections.synchronizedList(new ArrayList<String>());
 38 
 39     /**
 40      * 去除所有空白符
 41      * @param s
 42      * @return
 43      */
 44     public static String replaceAllBlank(String s ){
 45         // \\s+ 匹配任何空白字符,包括空格、制表符、换页符等等, 等价于[ \f\n\r\t\v]
 46         return s.replaceAll("\\s+","");
 47     }
 48 
 49     /**
 50      * 判断是不是数字 int double long float
 51      * @param s
 52      * @return
 53      */
 54     public static boolean isNumber(String s){
 55         Pattern pattern = Pattern.compile("^[-\\+]?[.\\d]*$");
 56         return pattern.matcher(s).matches();
 57     }
 58 
 59     /**
 60      * 判断是不是运算符
 61      * @param s
 62      * @return
 63      */
 64     public static boolean isSymbol(String s){
 65         return s.matches(SYMBOL);
 66     }
 67 
 68     /**
 69      * 匹配运算等级
 70      * @param s
 71      * @return
 72      */
 73     public static int calcLevel(String s){
 74         if("+".equals(s) || "-".equals(s)){
 75             return LEVEL_01;
 76         } else if("*".equals(s) || "/".equals(s)){
 77             return LEVEL_02;
 78         }
 79         return LEVEL_HIGH;
 80     }
 81 
 82     /**
 83      * 匹配
 84      * @param s
 85      * @throws Exception
 86      */
 87     public static List<String> doMatch (String s) throws Exception{
 88         if(s == null || "".equals(s.trim())) throw new RuntimeException("data is empty");
 89         if(!isNumber(s.charAt(0)+"")) throw new RuntimeException("data illeagle,start not with a number");
 90 
 91         s = replaceAllBlank(s);
 92 
 93         String each;
 94         int start = 0;
 95 
 96         for (int i = 0; i < s.length(); i++) {
 97             if(isSymbol(s.charAt(i)+"")){
 98                 each = s.charAt(i)+"";
 99                 //栈为空,(操作符,或者 操作符优先级大于栈顶优先级 && 操作符优先级不是( )的优先级 及是 ) 不能直接入栈
100                 if(stack.isEmpty() || LEFT.equals(each)
101                         || ((calcLevel(each) > calcLevel(stack.peek())) && calcLevel(each) < LEVEL_HIGH)){
102                     stack.push(each);
103                 }else if( !stack.isEmpty() && calcLevel(each) <= calcLevel(stack.peek())){
104                     //栈非空,操作符优先级小于等于栈顶优先级时出栈入列,直到栈为空,或者遇到了(,最后操作符入栈
105                     while (!stack.isEmpty() && calcLevel(each) <= calcLevel(stack.peek()) ){
106                         if(calcLevel(stack.peek()) == LEVEL_HIGH){
107                             break;
108                         }
109                         data.add(stack.pop());
110                     }
111                     stack.push(each);
112                 }else if(RIGHT.equals(each)){
113                     // ) 操作符,依次出栈入列直到空栈或者遇到了第一个)操作符,此时)出栈
114                     while (!stack.isEmpty() && LEVEL_HIGH >= calcLevel(stack.peek())){
115                         if(LEVEL_HIGH == calcLevel(stack.peek())){
116                             stack.pop();
117                             break;
118                         }
119                         data.add(stack.pop());
120                     }
121                 }
122                 start = i ;    //前一个运算符的位置
123             }else if( i == s.length()-1 || isSymbol(s.charAt(i+1)+"") ){
124                 each = start == 0 ? s.substring(start,i+1) : s.substring(start+1,i+1);
125                 if(isNumber(each)) {
126                     data.add(each);
127                     continue;
128                 }
129                 throw new RuntimeException("data not match number");
130             }
131         }
132         //如果栈里还有元素,此时元素需要依次出栈入列,可以想象栈里剩下栈顶为/,栈底为+,应该依次出栈入列,可以直接翻转整个stack 添加到队列
133         Collections.reverse(stack);
134         data.addAll(new ArrayList<>(stack));
135 
136         System.out.println(data);
137         return data;
138     }
139 
140     /**
141      * 算出结果
142      * @param list
143      * @return
144      */
145     public static Double doCalc(List<String> list){
146         Double d = 0d;
147         if(list == null || list.isEmpty()){
148             return null;
149         }
150         if (list.size() == 1){
151             System.out.println(list);
152             d = Double.valueOf(list.get(0));
153             return d;
154         }
155         ArrayList<String> list1 = new ArrayList<>();
156         for (int i = 0; i < list.size(); i++) {
157             list1.add(list.get(i));
158             if(isSymbol(list.get(i))){
159                 Double d1 = doTheMath(list.get(i - 2), list.get(i - 1), list.get(i));
160                 list1.remove(i);
161                 list1.remove(i-1);
162                 list1.set(i-2,d1+"");
163                 list1.addAll(list.subList(i+1,list.size()));
164                 break;
165             }
166         }
167         doCalc(list1);
168         return d;
169     }
170 
171     /**
172      * 运算
173      * @param s1
174      * @param s2
175      * @param symbol
176      * @return
177      */
178     public static Double doTheMath(String s1,String s2,String symbol){
179         Double result ;
180         switch (symbol){
181             case ADD : result = Double.valueOf(s1) + Double.valueOf(s2); break;
182             case MINUS : result = Double.valueOf(s1) - Double.valueOf(s2); break;
183             case TIMES : result = Double.valueOf(s1) * Double.valueOf(s2); break;
184             case DIVISION : result = Double.valueOf(s1) / Double.valueOf(s2); break;
185             default : result = null;
186         }
187         return result;
188 
189     }
190 
191     public static void main(String[] args) {
192         //String math = "9+(3-1)*3+10/2";
193         String math = "12.8 + (2 - 3.55)*4+10/5.0";
194         try {
195             doCalc(doMatch(math));
196         } catch (Exception e) {
197             e.printStackTrace();
198         }
199     }
200 
201 }

 

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