计算带圆括号的布尔表达式（使用堆栈）

Posted 2021-02-25

An [example][id]. Then, **anywhere**
else in the doc, define the link:

[id]: http://example.com/ "Title"

// This program reads a reads and evaluates fully parenthesized Boolean
// expressions.  The purpose is to illustrate a fundamental use of stacks.
 
 
   import java.util.Stack;
   import java.util.Scanner;
   import java.util.regex.Pattern;
 
    public class KauffmanW7_LargeProgram05_EvalBoolean
   {
 
       public static void main(String[ ] args)
      {
         Scanner stdin = new Scanner(System.in);
         String expression;
         boolean answer;
 
         // Testing Expressions.
         expression = "(5>1)";
         answer = evaluate(expression);
         System.out.print("Test01: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is correct.");
         } 
         else {
            System.out.println("false, which is WRONG.");
         }
 
         expression = "(5>=1)";
         answer = evaluate(expression);
         System.out.print("Test02: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is correct.");
         } 
         else {
            System.out.println("false, which is WRONG.");
         }
 
         expression = "(5<1)";
         answer = evaluate(expression);
         System.out.print("Test03: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is WRONG.");
         } 
         else {
            System.out.println("false, which is correct.");
         }
 
         expression = "(5<=1)";
         answer = evaluate(expression);
         System.out.print("Test04: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is WRONG.");
         } 
         else {
            System.out.println("false, which is correct.");
         }
 
         expression = "(5==1)";
         answer = evaluate(expression);
         System.out.print("Test05: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is WRONG.");
         } 
         else {
            System.out.println("false, which is correct.");
         }
 
         expression = "(5!=1)";
         answer = evaluate(expression);
         System.out.print("Test06: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is correct.");
         } 
         else {
            System.out.println("false, which is WRONG.");
         }
 
         expression = "(10 > 5)";
         answer = evaluate(expression);
         System.out.print("Test07: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is correct.");
         } 
         else {
            System.out.println("false, which is WRONG.");
         }
 
         expression = "(10 >= 5)";
         answer = evaluate(expression);
         System.out.print("Test08: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is correct.");
         } 
         else {
            System.out.println("false, which is WRONG.");
         }
 
         expression = "(10 < 5)";
         answer = evaluate(expression);
         System.out.print("Test09: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is WRONG.");
         } 
         else {
            System.out.println("false, which is correct.");
         }
 
         expression = "(10 <= 5)";
         answer = evaluate(expression);
         System.out.print("Test10: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is WRONG.");
         } 
         else {
            System.out.println("false, which is correct.");
         }
 
         expression = "(10 == 5)";
         answer = evaluate(expression);
         System.out.print("Test11: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is WRONG.");
         } 
         else {
            System.out.println("false, which is correct.");
         }
 
         expression = "(10 != 5)";
         answer = evaluate(expression);
         System.out.print("Test12: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is correct.");
         } 
         else {
            System.out.println("false, which is WRONG.");
         }
 
         expression = "((10 > 5) && (10 > 15))";
         answer = evaluate(expression);
         System.out.print("Test13: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is WRONG.");
         } 
         else {
            System.out.println("false, which is correct.");
         }
 
         expression = "((10 > 5) || (10 > 15))";
         answer = evaluate(expression);
         System.out.print("Test14: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is correct.");
         } 
         else {
            System.out.println("false, which is WRONG.");
         }
 
         expression = "(((10 > 5) && (10 > 15)) || (20 > 15))";
         answer = evaluate(expression);
         System.out.print("Test15: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is correct.");
         } 
         else {
            System.out.println("false, which is WRONG.");
         }
 
         expression = "(((10 > 5) || (10 > 15)) && (15 >= 20))";
         answer = evaluate(expression);
         System.out.print("Test16: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is WRONG.");
         } 
         else {
            System.out.println("false, which is correct.");
         }
 
         expression = "(!(5<1))";
         answer = evaluate(expression);
         System.out.print("Test17: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is correct.");
         } 
         else {
            System.out.println("false, which is WRONG.");
         }
 
         expression = "(!(5>1))";
         answer = evaluate(expression);
         System.out.print("Test18: " + expression + " evaluated as ");
         if (answer == true) {
            System.out.println("true, which is WRONG.");
         } 
         else {
            System.out.println("false, which is correct.");
         }
 
 
 
         answer = query(stdin, "
Would you like to try some expressions of your own?");
         if (!answer) System.exit(0); 
 
 
 
         System.out.println("
Please type a Boolean expression made from");
         System.out.println("comparison between unsigned numbers, and the");
         System.out.println("operations && (AND) and || (OR).  The ");
         System.out.println("expression must be fully parenthesized.");
 
         do
         {
            System.out.print("Your expression: ");
            expression = stdin.nextLine( );
            try
            {
               answer = evaluate(expression);
               System.out.println("The value is " + answer);
            }
                catch (Exception e)
               {
                  System.out.println("Error." + e.toString( ));
               }
         }
         while (query(stdin, "Another string?"));
 
         System.out.println("All numbers are interesting.");
      }
 
 
       public static boolean query(Scanner input, String prompt)  {
         String answer;
 
         System.out.print(prompt + " [Y or N]: ");
         answer = input.nextLine( ).toUpperCase( );
         while (!answer.startsWith("Y") && !answer.startsWith("N"))
         {
            System.out.print("Invalid response. Please type Y or N: ");
            answer = input.nextLine( ).toUpperCase( );
         }
 
         return answer.startsWith("Y");
      }
 
 
       public static boolean evaluate(String s)    { 
      // Precondition: The string is a fully parenthesized Boolean expression
      // formed from non-negative numbers, parentheses, comparisons, and the three
      // logical operations: !(NOT, unary), && (AND, binary), and || (OR, binary).
      // Postcondition: The string has been evaluated and the value returned.
      // Exceptions: Can throw an NumberFormatException if the expression contains
      // characters other than digits, operations, parentheses and whitespace.
      // Can throw IllegalArgumentException if the input line is an
      // illegal expression, such as unbalanced parentheses or an unknown symbol.
 
      //  KEY  
      //****************
      //  >= G         *
      //  <= L         *
      //  != N         *
      //  || O         *
      //  && A         *
      //  == E         *
      //****************
 
         s = s.replace(">=","G");
         s = s.replace("<=","L");
         s = s.replace("!=","N");
         s = s.replace("||","O");
         s = s.replace("&&","A");
         s = s.replace("==","E");	
      //         System.out.println(s);		
         Scanner input = new Scanner(s);  
         Stack<Integer> numbers = new Stack<Integer>( );
         Stack<Character> operations = new Stack<Character>( );
         Stack<Boolean> booleans = new Stack<Boolean>( );
         String next;
         char first;
 
         while (input.hasNext( )) {
            if (input.hasNext(UNSIGNED_INT)) {
               next = input.findInLine(UNSIGNED_INT);
               numbers.push(new Integer(next));
            }
            else {
               next = input.findInLine(CHARACTER);
               first = next.charAt(0);
 
               switch (first) {
                  case '>': // Greater Than
                  case 'G': // >= Greater Than or Equal to.
                  case '<': // Less Than
                  case 'L': // Less Than or Equal to.
                  case 'E': // == Equal
                  case 'N': // != Not Equal
                  case '!': // Not
                  case 'A': // && And
                  case 'O': // || Or
                     operations.push(first);
                     break;
                  case ')': // Right parenthesis
                     evaluateStackTops(numbers, operations,booleans);
                     break;
                  case '(': // Left parenthesis
                     break;
                  default : // Illegal character
                     throw new IllegalArgumentException("Illegal character");
               }
            }
         }
         if (booleans.size( ) != 1)
            throw new IllegalArgumentException("Illegal input expression" );
 
         return booleans.pop( );
      }
 
 
       public static boolean evalBoolean(int oper1, int oper2, char bool) {
         switch (bool) {
            case '>': // Greater Than
               return  (oper1 > oper2);
            case 'G': // >= Greater Than or Equal to.
               return (oper1 >= oper2);
            case '<': // Less Than
               return (oper1 < oper2);
            case 'L': // Less Than or Equal to.
               return (oper1 <= oper2);
            case 'E': // == Equal
               return (oper1 == oper2);
            case 'N': // != Not Equal
               return (oper1 != oper2);
            default :  // This statement should be unreachable since only the aforementioned values get sent to the method...
               throw new IllegalArgumentException("Illegal operation");
         }
      }
 
       public static void evaluateStackTops(Stack<Integer> numbers, Stack<Character> operations,Stack<Boolean> booleans) {      
         int operand1, operand2;
         boolean bool1,bool2;
         if (operations.size( ) < 1) 
            throw new IllegalArgumentException("Illegal expression (Operations Stack Underflow)");        
         char oper = operations.pop();
 
         switch (oper) {         
            case '>': // Greater Than
            case 'G': // >= Greater Than or Equal to.
            case '<': // Less Than
            case 'L': // Less Than or Equal to.
            case 'E': // == Equal
            case 'N': // != Not Equal
               if (numbers.size( ) < 2) 
                  throw new IllegalArgumentException("Illegal expression (Numbers Stack Underflow)");        
               operand2 = numbers.pop( );
               operand1 = numbers.pop( ); 
               booleans.push(evalBoolean(operand1,operand2,oper));
               break;
 
            case '!':
               if (booleans.size( ) < 1) 
                  throw new IllegalArgumentException("Illegal expression (Booleans Stack Underflow)");        
               booleans.push (!(booleans.pop( )));
               break;
 
            case 'A':
            case 'O':
               if (booleans.size( ) < 2) 
                  throw new IllegalArgumentException("Illegal expression (Booleans Stack Underflow)");        
               bool2 = booleans.pop( );
               bool1 = booleans.pop( ); 
               if (oper == 'A')
                  booleans.push ( (bool1 && bool2));
               else
                  booleans.push ( (bool1 || bool2));
               break;
            default : 
               throw new IllegalArgumentException("Illegal operation (Unknown Character)");
         }
      }
 
   // These patterns are from Appendix B of Data Structures and Other Objects.
   // They may be used in hasNext and findInLine to read certain patterns
   // from a Scanner.
      public static final Pattern CHARACTER = Pattern.compile("\S.*?");  
      public static final Pattern UNSIGNED_INT = Pattern.compile("\d+.*?");
   }