JS function that creates a range of numbers (inclusive beginning and end) with a limit on range items

Question

You are given a starting number and ending number and the max number of output elements allowed. How would you create an output array with as even a distribution as possible, while still including the first and last points in the output?

Function signature

function generatePoints(startingNumber, endingNumber, maxPoints) {}

Function desired output

generatePoints(0, 8, 5) // [0, 2, 4, 6, 8]

Here's what I tried so far

function generatePoints(startingNumber, endingNumber, maxPoints) {
   const interval = Math.round((endingNumber - startingNumber) / maxPoints)
    let count = 0
    let counter = 0
    let points = []
   
    while(count < maxPoints - 1) {
        points.push(counter)
        counter+=interval
        count++
    }

    points.push(endingNumber)

    return points
}

Technically this creates the correct output for the simple case, but falls short when up against most other edge cases due to the fact that I'm stopping one iteration early and then adding the final point. I'm thinking that the better way to do this (to create a better distribution) is to build from the center of the array outwards, versus building from the start of the array and then stopping one element early and appending the endingNumber.

Answer 1

Do not Math.round(interval). Instead Math.round(counter) at that last moment.

The reason why is that if you've added k intervals, the error in what you're going can be as much as 0.5*k. But if you round at the last minute, the error is never more than 0.5.