const fs = require('fs');

const d2 = 12.9;
const l1 = 85;
const l2 = 110;

function stepsToRad(steps) {
  return (steps / 2048) * 2 * Math.PI;
}

function render(steps1, steps2) {
  const t1 = stepsToRad(steps1);
  const t2 = stepsToRad(steps2);

  const e1x = -d2 + l1 * Math.cos(t1);
  const e1y = l1 * Math.sin(t1);

  const e2x = d2 + l1 * Math.cos(t2);
  const e2y = l1 * Math.sin(t2);

  const dx = e2x - e1x;
  const dy = e2y - e1y;
  const dist = Math.sqrt(dx*dx + dy*dy);

  let endX = 0, endY = 0;
  if (dist <= 2*l2 && dist >= 1e-6) {
    const a = dist / 2;
    const h = Math.sqrt(l2*l2 - a*a);
    const mx = (e1x + e2x) / 2;
    const my = (e1y + e2y) / 2;
    const px1 = mx + h * (dy / dist);
    const py1 = my + h * (-dx / dist);
    const px2 = mx - h * (dy / dist);
    const py2 = my - h * (-dx / dist);
    if (py1 >= py2) { endX = px1; endY = py1; }
    else { endX = px2; endY = py2; }
  }

  console.log(`steps1=${steps1}, steps2=${steps2}`);
  console.log(`t1=${(t1*180/Math.PI).toFixed(1)}°, t2=${(t2*180/Math.PI).toFixed(1)}°`);
  console.log(`e1=(${e1x.toFixed(1)}, ${e1y.toFixed(1)})`);
  console.log(`e2=(${e2x.toFixed(1)}, ${e2y.toFixed(1)})`);
  console.log(`end=(${endX.toFixed(1)}, ${endY.toFixed(1)})`);
}

render(854, 41);
render(-41, 967);