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private int expIdx; // current index into the expression private String token; // holds current token private int tokType; // holds token's type // Parser entry point. public double evaluate(String expstr) throws ParserException { double result; exp = expstr; expIdx = 0; getToken(); if(token.equals(EOE)) handleErr(NOEXP); // no expression present // Parse and evaluate the expression. result = evalExp2(); if(!token.equals(EOE)) // last token must be EOE handleErr(SYNTAX); return result; } // Add or subtract two terms. private double evalExp2() throws ParserException { char op; double result; double partialResult; result = evalExp3(); while((op = token.charAt(0)) == '+' || op == '-') { getToken(); partialResult = evalExp3(); switch(op) { case '-': result = result - partialResult; break; case '+': result = result + partialResult; break; } }
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2: A Recursive-Descent Expression Parser
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return result; } // Multiply or divide two factors. private double evalExp3() throws ParserException { char op; double result; double partialResult; result = evalExp4(); while((op = token.charAt(0)) == '*' || op == '/' || op == '%') { getToken(); partialResult = evalExp4(); switch(op) { case '*': result = result * partialResult; break; case '/': if(partialResult == 0.0) handleErr(DIVBYZERO); result = result / partialResult; break; case '%': if(partialResult == 0.0) handleErr(DIVBYZERO); result = result % partialResult; break; } } return result; } // Process an exponent. private double evalExp4() throws ParserException { double result; double partialResult; double ex; int t; result = evalExp5();
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if(token.equals("^")) { getToken(); partialResult = evalExp4(); ex = result; if(partialResult == 0.0) { result = 1.0; } else for(t=(int)partialResult-1; t > 0; t--) result = result * ex; } return result; } // Evaluate a unary + or -. private double evalExp5() throws ParserException { double result; String op; op = ""; if((tokType == DELIMITER) && token.equals("+") || token.equals("-")) { op = token; getToken(); } result = evalExp6(); if(op.equals("-")) result = -result; return result; } // Process a parenthesized expression. private double evalExp6() throws ParserException { double result; if(token.equals("(")) { getToken(); result = evalExp2(); if(!token.equals(")")) handleErr(UNBALPARENS); getToken(); }
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2: A Recursive-Descent Expression Parser
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else result = atom(); return result; } // Get the value of a number. private double atom() throws ParserException { double result = 0.0; switch(tokType) { case NUMBER: try { result = Double.parseDouble(token); } catch (NumberFormatException exc) { handleErr(SYNTAX); } getToken(); break; default: handleErr(SYNTAX); break; } return result; } // Handle an error. private void handleErr(int error) throws ParserException { String[] err = { "Syntax Error", "Unbalanced Parentheses", "No Expression Present", "Division by Zero" }; throw new ParserException(err[error]); } // Obtain the next token. private void getToken() { tokType = NONE; token = "";
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// Check for end of expression. if(expIdx == exp.length()) { token = EOE; return; } // Skip over white space. while(expIdx < exp.length() && Character.isWhitespace(exp.charAt(expIdx))) ++expIdx; // Trailing whitespace ends expression. if(expIdx == exp.length()) { token = EOE; return; } if(isDelim(exp.charAt(expIdx))) { // is operator token += exp.charAt(expIdx); expIdx++; tokType = DELIMITER; } else if(Character.isLetter(exp.charAt(expIdx))) { // is variable while(!isDelim(exp.charAt(expIdx))) { token += exp.charAt(expIdx); expIdx++; if(expIdx >= exp.length()) break; } tokType = VARIABLE; } else if(Character.isDigit(exp.charAt(expIdx))) { // is number while(!isDelim(exp.charAt(expIdx))) { token += exp.charAt(expIdx); expIdx++; if(expIdx >= exp.length()) break; } tokType = NUMBER; } else { // unknown character terminates expression token = EOE; return; } } // Return true if c is a delimiter. private boolean isDelim(char c) {
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2: A Recursive-Descent Expression Parser
if((" +-/*%^=()".indexOf(c) != -1)) return true; return false; } }
Notice the ParserException class declared near the top of the code. This is the type of exception that will be thrown by the parser if it encounters an error while processing the expression. This exception will need to be handled by code that uses the parser. The parser as it is shown can handle the following operators: +, , *, /, %. In addition, it can handle integer exponentiation (^) and the unary minus. The parser can also deal with parentheses correctly. To use the parser, first create an object of type Parser. Then call evaluate( ), passing the expression string that you want evaluated as an argument. The result is returned. Because Parser throws a ParserException on error, your application must handle such an exception. The following example demonstrates the parser:
// Demonstrate the parser. import java.io.*; class PDemo { public static void main(String args[]) throws IOException { String expr; BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); Parser p = new Parser(); System.out.println("Enter an empty expression to stop."); for(;;) { System.out.print("Enter expression: "); expr = br.readLine(); if(expr.equals("")) break; try { System.out.println("Result: " + p.evaluate(expr)); System.out.println(); } catch (ParserException exc) { System.out.println(exc); } } } }
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