Evaluating a mathematical expression considering Operator Precedence in JavaScript

JavascriptWeb DevelopmentFront End Technology

Problem

We are required to write a JavaScript function that takes in a mathematical expression as a string and return its result as a number.

We need to support the following mathematical operators −

  • Division / (as floating-point division)

  • Addition +

  • Subtraction -

  • Multiplication *

Operators are always evaluated from left-to-right, and * and / must be evaluated before + and -.

Example

Following is the code −

 Live Demo

const exp = '6 - 4';
const findResult = (exp = '') => {
   const digits = '0123456789.';
   const operators = ['+', '-', '*', '/', 'negate'];
   const legend = {
      '+': { pred: 2, func: (a, b) => { return a + b; }, assoc: "left" },
      '-'&: { pred: 2, func: (a, b) => { return a - b; }, assoc: "left" },
      '*': { pred: 3, func: (a, b) => { return a * b; }, assoc: "left" },
      '/': { pred: 3, func: (a, b) => {
      if (b != 0) { return a / b; } else { return 0; }
   }
   }, assoc: "left",
   'negate': { pred: 4, func: (a) => { return -1 * a; }, assoc: "right" }
};
exp = exp.replace(/\s/g, '');
let operations = [];
let outputQueue = [];
let ind = 0;
let str = '';
while (ind < exp.length) {
   let ch = exp[ind];
   if (operators.includes(ch)) {
      if (str !== '') {
         outputQueue.push(new Number(str));
         str = '';
      }
      if (ch === '-') {
         if (ind == 0) {
            ch = 'negate';
         } else {
            let nextCh = exp[ind+1];
            let prevCh = exp[ind-1];
            if ((digits.includes(nextCh) || nextCh === '(' || nextCh === '-') &&
               (operators.includes(prevCh) || exp[ind-1] === '(')) {
                  ch = 'negate';
            }
         }
      }
      if (operations.length > 0) {
         let topOper = operations[operations.length - 1];
         while (operations.length > 0 && legend[topOper] &&
         ((legend[ch].assoc === 'left' && legend[ch].pred <= legend[topOper].pred) ||
         (legend[ch].assoc === 'right' && legend[ch].pred < legend[topOper].pred))) {
            outputQueue.push(operations.pop());
            topOper = operations[operations.length - 1];
         }
      }
      operations.push(ch);
   } else if (digits.includes(ch)) {
      str += ch
   } else if (ch === '(') {
      operations.push(ch);
   } else if (ch === ')') {
      if (str !== '') {
         outputQueue.push(new Number(str));
         str = '';
      }
      while (operations.length > 0 && operations[operations.length - 1] !== '(') {
         outputQueue.push(operations.pop());
      }
      if (operations.length > 0) { operations.pop(); }
   }
   ind++;
}
if (str !== '') { outputQueue.push(new Number(str)); }
   outputQueue = outputQueue.concat(operations.reverse())
   let res = [];
   while (outputQueue.length > 0) {
      let ch = outputQueue.shift();
      if (operators.includes(ch)) {
         let num1, num2, subResult;
         if (ch === 'negate') {
            res.push(legend[ch].func(res.pop()));
         } else {
            let [num2, num1] = [res.pop(), res.pop()];
            res.push(legend[ch].func(num1, num2));
         }
      } else {
         res.push(ch);
      }
   }
   return res.pop().valueOf();
};
console.log(findResult(exp));

Output

2
raja
Published on 21-Apr-2021 10:13:43
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