Java Expression Parser & Calculator Shunting Yard Algorithm
So the task is to create our own parser for a expression calculator. For Example:
Input: 3+2*1-6/3 Output: 3
Input: 3++2 Output: Invalid Expression
Input: -5+2 Output: -3
Input: 5--2 Output: 7
The code here solves a part of the problem except that it has a fixed input and negative values cannot be solved, And I'm not quite sure yet if it really does solve the expression with operator precedence. but I already modified it to get an input expression from the user. and I've been wondering for hours how to implement the solving for negative values. help anyone?
NO JAVASCRIPT ENGINE PLEASE.
here's the current code
import java.util.*;
public class ExpressionParser
{
// Associativity constants for operators
private static final int LEFT_ASSOC = 0;
private static final int RIGHT_ASSOC = 1;
// Operators
private static final Map<String, int[]> OPERATORS = new HashMap<String, int[]>();
static
{
// Map<"token", []{precendence, associativity}>
OPERATORS.put("+", new int[] { 0, LEFT_ASSOC });
OPERATORS.put("-", new int[] { 0, LEFT_ASSOC });
OPERATORS.put("*", new int[] { 5, LEFT_ASSOC });
OPERATORS.put("/", new int[] { 5, LEFT_ASSOC });
}
// Test if token is an operator
private static boolean isOperator(String token)
{
return OPERATORS.containsKey(token);
}
// Test associativity of operator token
private static boolean isAssociative(String token, int type)
{
if (!isOperator(token))
{
throw new IllegalArgumentException("Invalid token: " + token);
}
if (OPERATORS.get(token)[1] == type) {
return true;
}
return false;
}
// Compare precedence of operators.
private static final int cmpPrecedence(String token1, String token2)
{
if (!isOperator(token1) || !isOperator(token2))
{
throw new IllegalArgumentException("Invalid tokens: " + token1
+ " " + token2);
}
return OPERATORS.get(token1)[0] - OPERATORS.get(token2)[0];
}
// Convert infix expression format into reverse Polish notation
public static String[] expToRPN(String[] inputTokens)
{
ArrayList<String> out = new ArrayList<String>();
Stack<String> stack = new Stack<String>();
// For each token
for (String token : inputTokens)
{
// If token is an operator
if (isOperator(token))
{
// While stack not empty AND stack top element
// is an operator
while (!stack.empty() && isOperator(stack.peek()))
{
if ((isAssociative(token, LEFT_ASSOC) &&
cmpPrecedence(token, stack.peek()) <= 0) ||
(isAssociative(token, RIGHT_ASSOC) &&
cmpPrecedence(token, stack.peek()) < 0))
{
out.add(stack.pop());
continue;
}
break;
}
// Push the new operator on the stack
stack.push(token);
}
// If token is a left bracket '('
else if (token.equals("("))
{
stack.push(token); //
}
// If token is a right bracket ')'
else if (token.equals(")"))
{
while (!stack.empty() && !stack.peek().equals("("))
{
out.add(stack.pop());
}
stack.pop();
}
// If token is a number
else
{
// if(!isOperator(stack.peek())){
// out.add(String.valueOf(token*10));
// }
out.add(token);
}
}
while (!stack.empty())
{
out.add(stack.pop());
}
String[] output = new String[out.size()];
return out.toArray(output);
}
public static double RPNtoDouble(String[] tokens)
{
Stack<String> stack = new Stack<String>();
// For each token
for (String token : tokens) //for each
{
// If the token is a value push it onto the stack
if (!isOperator(token))
{
stack.push(token);
}
else
{
// Token is an operator: pop top two entries
Double d2 = Double.valueOf( stack.pop() );
Double d1 = Double.valueOf( stack.pop() );
//Get the result
Double result = token.compareTo("*") == 0 ? d1 * d2 :
token.compareTo("/") == 0 ? d1 / d2 :
token.compareTo("+") == 0 ? d1 + d2 :
d1 - d2;
// Push result onto stack
stack.push( String.valueOf( result ));
}
}
return Double.valueOf(stack.pop());
}
public static void main(String[] args) throws Exception{
Scanner in = new Scanner(System.in);
String reg = "((?<=[<=|>=|==|\\+|\\*|\\-|<|>|/|=])|(?=[<=|>=|==|\\+|\\*|\\-|<|>|/|=]))";
while(true){
try{
System.out.println("Enter Your Expression");
//String[] input = "( 1 + 2 ) * ( 3 / 4 ) - ( 5 + 6 )".split(" ");
String[] input = in.nextLine() .split(reg);
String[] output = expToRPN(input);
// Build output RPN string minus the commas
System.out.print("Stack: ");
for (String token : output) {
System.out.print("[ ");System.out.print(token + " "); System.out.print("]");
}
System.out.println(" ");
// Feed the RPN string to RPNtoDouble to give result
Double result = RPNtoDouble( output );
System.out.println("Answer= " + result);
}catch (NumberFormatException | EmptyStackException nfe){
System.out.println("INVALID EXPRESSION"); }
}
}
}
UPDATED CODE: Added: unaryToexp() function. what I wanted to do was that everytime a " - " occurs, the code treats it as a binary by changing it to " _ " as another operator and this operator solves multiplies thing by -1 (what I wanted first was to add [-1] and [*] to the rpn stack). still got problems here.
compiler says:
Enter Your Expression
-5+3
Stack: [ ][ 5 ][ - ][ 3 ][ + ]
Exception in thread "main" java.lang.NumberFormatException: empty String
at sun.misc.FloatingDecimal.readJavaFormatString(FloatingDecimal.java:10 11)
at java.lang.Double.valueOf(Double.java:504)
at ExpressionParser.RPNtoDouble(ExpressionParser.java:160)
at ExpressionParser.main(ExpressionParser.java:194)*
I think it has something to do with the Double d1 = Double.valueOf( stack.pop() ); cause it still pops another two values, where I only need one for a solving a unary operator. any help?
public class ExpressionParser
{
// Associativity constants for operators
private static final int LEFT_ASSOC = 0;
private static final int RIGHT_ASSOC = 1;
// Operators
private static final Map<String, int[]> OPERATORS = new HashMap<String, int[]>();
static
{
// Map<"token", []{precendence, associativity}>
OPERATORS.put("-", new int[] { 0, LEFT_ASSOC });
OPERATORS.put("+", new int[] { 0, LEFT_ASSOC });
OPERATORS.put("*", new int[] { 5, LEFT_ASSOC });
OPERATORS.put("/", new int[] { 5, LEFT_ASSOC });
OPERATORS.put("_", new int[] { 5, RIGHT_ASSOC });
}
// Test if token is an operator
private static boolean isOperator(String token)
{
return OPERATORS.containsKey(token);
}
// Test associativity of operator token
private static boolean isAssociative(String token, int type)
{
if (!isOperator(token))
{
throw new IllegalArgumentException("Invalid token: " + token);
}
if (OPERATORS.get(token)[1] == type) {
return true;
}
return false;
}
// Compare precedence of operators.
private static final int cmpPrecedence(String token1, String token2)
{
if (!isOperator(token1) || !isOperator(token2))
{
throw new IllegalArgumentException("Invalid tokens: " + token1
+ " " + token2);
}
return OPERATORS.get(token1)[0] - OPERATORS.get(token2)[0];
}
// CONVERT UNARY OPERATORS
public static String[] unaryToexp(String[] inputTokens)
{
ArrayList<String> out = new ArrayList<String>();
Stack<String> stack = new Stack<String>();
//if token is an unary minus
for (String token : inputTokens)
{
if( ((token == "-") && (isOperator(stack.peek()) || stack.empty() ))){ //
token = "_";
}
else if (token == "-"){
token = "-";
}
out.add(token);
while (!stack.empty())
{
out.add(stack.pop());
}
}
String[] output = new String[out.size()];
return out.toArray(output);
}
// Convert infix expression format into reverse Polish notation
public static String[] expToRPN(String[] inputTokens)
{
ArrayList<String> out = new ArrayList<String>();
Stack<String> stack = new Stack<String>();
// For each token
for (String token : inputTokens)
{
// If token is an operator
if (isOperator(token))
{
// While stack not empty AND stack top element
// is an operator
while (!stack.empty() && isOperator(stack.peek()))
{
if ((isAssociative(token, LEFT_ASSOC) &&
cmpPrecedence(token, stack.peek()) <= 0) ||
(isAssociative(token, RIGHT_ASSOC) &&
cmpPrecedence(token, stack.peek()) < 0))
{
out.add(stack.pop());
continue;
}
break;
}
// Push the new operator on the stack
stack.push(token);
}
// If token is a left bracket '('
else if (token.equals("("))
{
stack.push(token); //
}
// If token is a right bracket ')'
else if (token.equals(")"))
{
while (!stack.empty() && !stack.peek().equals("("))
{
out.add(stack.pop());
}
stack.pop();
}
// If token is a number
else
{
out.add(token);
}
}
while (!stack.empty())
{
out.add(stack.pop());
}
String[] output = new String[out.size()];
return out.toArray(output);
}
public static double RPNtoDouble(String[] tokens)
{
Stack<String> stack = new Stack<String>();
// For each token
for (String token : tokens)
{
// If the token is a value push it onto the stack
if (!isOperator(token))
{
stack.push(token);
}
else
{
// Token is an operator: pop top two entries
Double d2 = Double.valueOf( stack.pop() );
Double d1 = Double.valueOf( stack.pop() );
//Get the result
Double result = token.compareTo("_") == 0 ? d2 * -1 :
token.compareTo("*") == 0 ? d1 * d2 :
token.compareTo("/") == 0 ? d1 / d2 :
token.compareTo("+") == 0 ? d1 + d2 :
d1 - d2;
// Push result onto stack
stack.push( String.valueOf( result ));
}
}
return Double.valueOf(stack.pop());
}
public static void main(String[] args) throws Exception{
Scanner in = new Scanner(System.in);
String reg = "((?<=[<=|>=|==|\\+|\\*|\\-|\\_|<|>|/|=])|(?=[<=|>=|==|\\+|\\*|\\-|<|>|/|=]))";
while(true){
//try{
System.out.println("Enter Your Expression");
//String[] input = "( 1 + 2 ) * ( 3 / 4 ) - ( 5 + 6 )".split(" ");
String[] input = in.nextLine() .split(reg);
String[] unary = unaryToexp(input); //.split(reg);
String[] output = expToRPN(unary);
// Build output RPN string minus the commas
System.out.print("Stack: ");
for (String token : output) {
System.out.print("[ ");System.out.print(token); System.out.print(" ]");
}
System.out.println(" ");
// Feed the RPN string to RPNtoDouble to give result
Double result = RPNtoDouble( output );
System.out.println("Answer= " + result);
//}catch (){
//System.out.println("INVALID EXPRESSION"); }
}
}
}
Answer
Here you are:
private static final ScriptEngine engine = new ScriptEngineManager().getEngineByName("JavaScript");
public static String eval(String matlab_expression){
if(matlab_expression == null){
return "NULL";
}
String js_parsable_expression = matlab_expression
.replaceAll("\\((\\-?\\d+)\\)\\^(\\-?\\d+)", "(Math.pow($1,$2))")
.replaceAll("(\\d+)\\^(\\-?\\d+)", "Math.pow($1,$2)");
try{
return engine.eval(js_parsable_expression).toString();
}catch(javax.script.ScriptException e1){
return null; // Invalid Expression
}
}