Gaussian/banker's rounding in JavaScript

Question

I have been using Math.Round(myNumber, MidpointRounding.ToEven) in C# to do my server-side rounding, however, the user needs to know 'live' what the result of the server-side operation will be which means (avoiding an Ajax request) creating a JavaScript method to replicate the MidpointRounding.ToEven method used by C#.

MidpointRounding.ToEven is Gaussian/banker's rounding, a very common rounding method for accounting systems described here.

Does anyone have any experience with this? I have found examples online, but they do not round to a given number of decimal places...

Answer 1

function evenRound(num, decimalPlaces) {     var d = decimalPlaces || 0;     var m = Math.pow(10, d);     var n = +(d ? num * m : num).toFixed(8); // Avoid rounding errors     var i = Math.floor(n), f = n - i;     var e = 1e-8; // Allow for rounding errors in f     var r = (f > 0.5 - e && f < 0.5 + e) ?                 ((i % 2 == 0) ? i : i + 1) : Math.round(n);     return d ? r / m : r; }  console.log( evenRound(1.5) ); // 2 console.log( evenRound(2.5) ); // 2 console.log( evenRound(1.535, 2) ); // 1.54 console.log( evenRound(1.525, 2) ); // 1.52 

Live demo: http://jsfiddle.net/NbvBp/

For what looks like a more rigorous treatment of this (I've never used it), you could try this BigNumber implementation.

Answer 2

This is the unusual stackoverflow where the bottom answers are better than the accepted. Just cleaned up @xims solution and made a bit more legible:

function bankersRound(n, d=2) {     var x = n * Math.pow(10, d);     var r = Math.round(x);     var br = Math.abs(x) % 1 === 0.5 ? (r % 2 === 0 ? r : r-1) : r;     return br / Math.pow(10, d); }