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After making all the necessary changes, the parser will now look like this:
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/* This module contains the recursive descent parser that uses variables. */ // Exception class for parser errors. class ParserException extends Exception { String errStr; // describes the error public ParserException(String str) { errStr = str; } public String toString() { return errStr; } } class Parser { // These are the token types. final int NONE = 0; final int DELIMITER = 1; final int VARIABLE = 2; final int NUMBER = 3; // These are the types of syntax errors. final int SYNTAX = 0; final int UNBALPARENS = 1; final int NOEXP = 2; final int DIVBYZERO = 3; // This token indicates end-of-expression. final String EOE = "\0"; private private private private String exp; int expIdx; String token; int tokType; // // // // refers to expression string current index into the expression holds current token holds token's type
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// Array for variables. private double vars[] = new double[26]; // Parser entry point.
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2: A Recursive-Descent Expression Parser
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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 = evalExp1(); if(!token.equals(EOE)) // last token must be EOE handleErr(SYNTAX); return result; } // Process an assignment. private double evalExp1() throws ParserException { double result; int varIdx; int ttokType; String temptoken; if(tokType == VARIABLE) { // save old token temptoken = new String(token); ttokType = tokType; // Compute the index of the variable. varIdx = Character.toUpperCase(token.charAt(0)) - 'A'; getToken(); if(!token.equals("=")) { putBack(); // return current token // restore old token -- not an assignment token = new String(temptoken); tokType = ttokType; } else { getToken(); // get next part of exp result = evalExp2();
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vars[varIdx] = result; return result; } } return evalExp2(); } // 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; } } 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();
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2: A Recursive-Descent Expression Parser
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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(); 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 {
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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(); } else result = atom(); return result; } // Get the value of a number or variable. private double atom() throws ParserException { double result = 0.0; switch(tokType) { case NUMBER: try { result = Double.parseDouble(token); } catch (NumberFormatException exc) { handleErr(SYNTAX); }
2: A Recursive-Descent Expression Parser
getToken(); break; case VARIABLE: result = findVar(token); getToken(); break; default: handleErr(SYNTAX); break; } return result; } // Return the value of a variable. private double findVar(String vname) throws ParserException { if(!Character.isLetter(vname.charAt(0))){ handleErr(SYNTAX); return 0.0; } return vars[Character.toUpperCase(vname.charAt(0))-'A']; } // Return a token to the input stream. private void putBack() { if(token == EOE) return; for(int i=0; i < token.length(); i++) expIdx--; } // 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()
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