var e10 = Math.sqrt(50),
    e5 = Math.sqrt(10),
    e2 = Math.sqrt(2);

export default function(start, stop, count) {
  var reverse,
      i = -1,
      n,
      ticks,
      step;

  stop = +stop, start = +start, count = +count;
  if (start === stop && count > 0) return [start];
  if (reverse = stop < start) n = start, start = stop, stop = n;
  if ((step = tickIncrement(start, stop, count)) === 0 || !isFinite(step)) return [];

  if (step > 0) {
    let r0 = Math.round(start / step), r1 = Math.round(stop / step);
    if (r0 * step < start) ++r0;
    if (r1 * step > stop) --r1;
    ticks = new Array(n = r1 - r0 + 1);
    while (++i < n) ticks[i] = (r0 + i) * step;
  } else {
    step = -step;
    let r0 = Math.round(start * step), r1 = Math.round(stop * step);
    if (r0 / step < start) ++r0;
    if (r1 / step > stop) --r1;
    ticks = new Array(n = r1 - r0 + 1);
    while (++i < n) ticks[i] = (r0 + i) / step;
  }

  if (reverse) ticks.reverse();

  return ticks;
}

export function tickIncrement(start, stop, count) {
  var step = (stop - start) / Math.max(0, count),
      power = Math.floor(Math.log(step) / Math.LN10),
      error = step / Math.pow(10, power);
  return power >= 0
      ? (error >= e10 ? 10 : error >= e5 ? 5 : error >= e2 ? 2 : 1) * Math.pow(10, power)
      : -Math.pow(10, -power) / (error >= e10 ? 10 : error >= e5 ? 5 : error >= e2 ? 2 : 1);
}

export function tickStep(start, stop, count) {
  var step0 = Math.abs(stop - start) / Math.max(0, count),
      step1 = Math.pow(10, Math.floor(Math.log(step0) / Math.LN10)),
      error = step0 / step1;
  if (error >= e10) step1 *= 10;
  else if (error >= e5) step1 *= 5;
  else if (error >= e2) step1 *= 2;
  return stop < start ? -step1 : step1;
}