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Javascript: Regex or some other technique to control read-only input

I'm in the proccess of creating 'Windows-like' calculator. I already built my calculator in html and set input to read-only to resemble that of Windows'. Now, I know you can control basic input by creating proper regex, but is it the case with read-only?

What I want is that I control what goes in input box by adding event listeners than updating input if conditions are met which I already did but can I restrict my code further by using regex or some other technique for proper math algorithms like 3.55*(4/(1+1)) ? I hope I'm clear about what I need.

I tried setting countless variables and control them with if/switch statements which worked in the end, but it took me around 100 lines of code which quickly became a nightmare to control, so I started from scratch and looking for alternatives, and if what I learned about JS is true, it's possible. Only pure JS and no other libraries, please. Here's my current JS code:

const domRef = {
  inputMain: document.getElementById('input-main'),
  inputSecondary: document.getElementById('input-secondary'),
  buttons: document.getElementById('calculator-basic').querySelectorAll('button')
}

function handleClick(event) {
  let target = event.target;

  if (target.classList.contains('expressions')) { // operands and operators
    let input = target.textContent;
    updateInputMain(input);
  }

}

function handleKeypress(event) {
  let target;
  for (let i = 0; i < domRef.buttons.length; i++) {

    if (domRef.buttons[i].textContent === event.key) {
      target = domRef.buttons[i];
      target.click();
    }

  }
}

function updateInputMain(input) {
  domRef.inputMain.value += input;
}



for (let i = 0; i < domRef.buttons.length; i++) {
  domRef.buttons[i].addEventListener('click', handleClick);
}

document.body.addEventListener('keypress', handleKeypress);

I would suggest using a specialized library, eg Math.js

Doing powerful calculations become as easy as that:

 math.sqrt(-4); // 2i console.log(math.eval(3.55*(4/(1+1)))); 
 <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjs/4.4.2/math.min.js"></script> 

Math.js contains a function math.parse to parse expressions into an expression tree. That should come handy.

Also, we can wrap parse or eval with a try-catch block to check for syntax errors:

 try { math.parse('3.55*(4/(1+1)'); } catch(error) { console.error(error); } 
 <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjs/4.4.2/math.min.js"></script> 

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