console.clear();

​

const border = 30;

​

const center = (left, right, diff, width) => {

  const halfDiff = Math.floor(diff / 2);

  if (left - halfDiff < 0) {

    return [0, right + (diff - left)];

  } else if (right + halfDiff > width) {

    return [left - diff + (width - right), width];

  } else {

    return [left - halfDiff, right + (diff - halfDiff)];

  }

};

​

const square = (box, width) => {

  const diffX = box.tr[0] - box.bl[0], diffY = box.tr[1] - box.bl[1];

  if (diffX > diffY) {

    const c = center(box.bl[1], box.tr[1], diffX - diffY, width);

    return {bl: [box.bl[0], c[0]], tr:[box.tr[0], c[1]]}

  } else {

    const c = center(box.bl[0], box.tr[0], diffY - diffX, width);

    return {bl: [c[0], box.bl[1]], tr:[c[1], box.tr[1]]};

  }

};

​

const pad = (box, border, width) => {

  const cx = center(box.bl[0], box.tr[0], border * 2, width),

        cy = center(box.bl[1], box.tr[1], border * 2, width);

  return {bl: [cx[0], cy[0]], tr: [Math.min(width, cx[1]), Math.min(width, cy[1])]};

};

​

const translate = box => ({coord: box.bl, width: box.tr[0] - box.bl[0]});

const print = box => console.log(`(${box.coord[0]}, ${box.coord[1]}), ${box.width}`);

​

const bounding = (width, coordinates) => {

  const x = coordinates.map(c => c[0]),

        y = coordinates.map(c => c[1]),

        x1 = Math.min.apply(null, x), x2 = Math.max.apply(null, x),

        y1 = Math.min.apply(null, y), y2 = Math.max.apply(null, y);

  return translate(pad(square({bl: [x1, y1], tr: [x2, y2] }, width), border, width));

};

​

​

​

print(bounding(2000, [[1000, 1500], [1200, 1500], [1400,1600], [1600,1800]]));

print(bounding(2000, [[600, 600], [700, 1200]]));

print(bounding(2000, [[300, 300], [1300, 300]]));

print(bounding(2000, [[825, 820], [840, 830], [830, 865], [835, 900]]));

print(bounding(5079, [[5079, 2000], [5079, 3000]]));

print(bounding(5079, [[10, 2000], [10, 3000]]));

print(bounding(5079, [[2000, 10], [3000, 10]]));

print(bounding(5079, [[2000, 5079], [3000, 5079]]));

print(bounding(5079, [[0, 0], [600, 600]]));

print(bounding(5079, [[5079, 5079], [4479, 4479]]));

print(bounding(5079, [[0, 5079], [600, 4479]]));

print(bounding(5079, [[5079, 0], [4479, 600]]));

print(bounding(5079, [[1000, 0], [1000, 5079]]));

print(bounding(5079, [[0, 1000], [5079, 1000]]));

print(bounding(5079, [[0, 0], [5079, 5079]]));