javascriptbigintegerbigint

How to divide two native JavaScript BigInt's and get a decimal result


Here's what I've tried so far. I'm looking to get a 12.34:

BigInt('12340000000000000000') / BigInt('1000000000000000000')

12n

Number(BigInt('12340000000000000000') / BigInt('1000000000000000000'))

12

FWIW, when I use the JSBI lib, it's working how I'd like:

JSBI.BigInt('12340000000000000000') / JSBI.BigInt('1000000000000000000');

12.34

Is that not possible natively?


Solution

  • You should multiply the numerator to accommodate the number of digits you need, perform the division and then divide with normal floating point division.

    var a = 12340000000000000000n;
    var b =  1000000000000000000n;
    
    console.log(Number(a * 100n / b) / 100);

    By only converting from BigInt to Number at the "end", you will lose the least precision.

    More precision

    If you need more than 16 digits precision and need decimals, then you'll need to throw your own implementation of a kind of BigDecimal API, or use an existing one.

    Here is a simple one using BigInt as its base type, combined with a configuration that determines how many digits (from the right) of each such BigInt should be interpreted as decimals (digits in the fractional part). That last information will for instance be used to insert a decimal separator when outputting the number as a string.

    class BigDecimal {
        constructor(value) {
            let [ints, decis] = String(value).split(".").concat("");
            decis = decis.padEnd(BigDecimal.decimals, "0");
            this.bigint = BigInt(ints + decis);
        }
        static fromBigInt(bigint) {
            return Object.assign(Object.create(BigDecimal.prototype), { bigint });
        }
        divide(divisor) { // You would need to provide methods for other operations
            return BigDecimal.fromBigInt(this.bigint * BigInt("1" + "0".repeat(BigDecimal.decimals)) / divisor.bigint);
        }
        toString() {
            let s = this.bigint.toString().replace("-", "").padStart(BigDecimal.decimals+1, "0");
            s = (s.slice(0, -BigDecimal.decimals) + "." + s.slice(-BigDecimal.decimals))
                   .replace(/(\.0*|0+)$/, "");
            return this.bigint < 0 ? "-" + s : s;                
        }
    }
    BigDecimal.decimals = 18; // Configuration of the number of decimals you want to have.
    
    // Demo
    var a = new BigDecimal("123456789123456789876");
    var b = new BigDecimal( "10000000000000000000");
    
    console.log(a.divide(b).toString());

    Addendum: in a later Q&A I enriched this class with add, subtract, multiply and rounding features.