Adapted from this answer:
function scroll(y, duration) {
var initialY = document.documentElement.scrollTop || document.body.scrollTop;
var baseY = (initialY + y) * 0.5;
var difference = initialY - baseY;
var startTime = performance.now();
function step() {
var normalizedTime = (performance.now() - startTime) / duration;
if (normalizedTime > 1) normalizedTime = 1;
window.scrollTo(0, baseY + difference * Math.cos(normalizedTime * Math.PI));
if (normalizedTime < 1) window.requestAnimationFrame(step);
}
window.requestAnimationFrame(step);
}
This should allow you to smoothly scroll (cosine function) from anywhere to the specified "y".