A variation of the click-to-recenter brush with snapping on brushend.
<!DOCTYPE html>
<style>
.selected {
fill: red;
stroke: brown;
}
</style>
<svg width="960" height="500"></svg>
<script src="https://d3js.org/d3.v4.min.js"></script>
<script>
var randomX = d3.randomUniform(0, 10),
randomY = d3.randomNormal(0.5, 0.12),
data = d3.range(800).map(function() { return [randomX(), randomY()]; });
var svg = d3.select("svg"),
margin = {top: 194, right: 50, bottom: 214, left: 50},
width = +svg.attr("width") - margin.left - margin.right,
height = +svg.attr("height") - margin.top - margin.bottom,
g = svg.append("g").attr("transform", "translate(" + margin.left + "," + margin.top + ")");
var x = d3.scaleLinear()
.domain([0, 10])
.range([0, width]);
var y = d3.scaleLinear()
.range([height, 0]);
var brush = d3.brushX()
.extent([[0, 0], [width, height]])
.on("start brush", brushed)
.on("end", brushended);
var dot = g.append("g")
.attr("fill-opacity", 0.2)
.selectAll("circle")
.data(data)
.enter().append("circle")
.attr("transform", function(d) { return "translate(" + x(d[0]) + "," + y(d[1]) + ")"; })
.attr("r", 3.5);
g.append("g")
.call(brush)
.call(brush.move, [3, 5].map(x))
.selectAll(".overlay")
.each(function(d) { d.type = "selection"; }) // Treat overlay interaction as move.
.on("mousedown touchstart", brushcentered); // Recenter before brushing.
g.append("g")
.attr("transform", "translate(0," + height + ")")
.call(d3.axisBottom(x));
function brushcentered() {
var dx = x(1) - x(0), // Use a fixed width when recentering.
cx = d3.mouse(this)[0],
x0 = cx - dx / 2,
x1 = cx + dx / 2;
d3.select(this.parentNode).call(brush.move, x1 > width ? [width - dx, width] : x0 < 0 ? [0, dx] : [x0, x1]);
}
function brushed() {
if (!d3.event.selection) return; // Ignore empty selections.
var extent = d3.event.selection.map(x.invert, x);
dot.classed("selected", function(d) { return extent[0] <= d[0] && d[0] <= extent[1]; });
}
function brushended() {
if (!d3.event.sourceEvent) return; // Only transition after input.
if (!d3.event.selection) return; // Ignore empty selections.
var d0 = d3.event.selection.map(x.invert),
d1 = d0.map(Math.round);
// If empty when rounded, use floor & offset instead.
if (d1[0] >= d1[1]) {
d1[0] = Math.floor(d0[0]);
d1[1] = d1[0] + 1;
}
d3.select(this).transition().call(brush.move, d1.map(x));
}
</script>