export function roundedArch({
  startAngle,
  endAngle,
  r,
  R,
  roundOutsideCut,
  roundInsideCut,
}: {
  startAngle: number;
  R: number;
  r: number;
  endAngle: number;
  roundOutsideCut: boolean;
  roundInsideCut: boolean;
}) {
  const a1 = (startAngle * Math.PI) / 180;
  const a2 = (endAngle * Math.PI) / 180;

  const X1 = Math.sin(a1) * R;
  const Y1 = -Math.cos(a1) * R;
  const x1 = Math.sin(a1) * r;
  const y1 = -Math.cos(a1) * r;
  const X2 = Math.sin(a2) * R;
  const Y2 = -Math.cos(a2) * R;
  const x2 = Math.sin(a2) * r;
  const y2 = -Math.cos(a2) * r;
  const roundRadius = 8;

  let svgPath = '';
  if (roundOutsideCut) {
    const roundDeltaAngle = Math.asin(roundRadius / R);
    const largeArcFlag =
      a2 - roundDeltaAngle - (a1 + roundDeltaAngle) <= Math.PI ? 0 : 1;
    const x1i = Math.sin(a1) * (R - roundRadius);
    const y1i = -Math.cos(a1) * (R - roundRadius);
    const x1o = Math.sin(a1 + roundDeltaAngle) * R;
    const y1o = -Math.cos(a1 + roundDeltaAngle) * R;
    const x2i = Math.sin(a2) * (R - roundRadius);
    const y2i = -Math.cos(a2) * (R - roundRadius);
    const x2o = Math.sin(a2 - roundDeltaAngle) * R;
    const y2o = -Math.cos(a2 - roundDeltaAngle) * R;
    // Rounded start
    svgPath += `M ${x1i} ${y1i} A ${roundRadius} ${roundRadius} 1 0 1 ${x1o} ${y1o}`;
    // Arch
    svgPath += `A ${R} ${R} 1 ${largeArcFlag} 1 ${x2o} ${y2o}`;
    // Rounded end
    svgPath += `A ${roundRadius} ${roundRadius} 1 0 1 ${x2i} ${y2i}`;
  } else {
    const largeArcFlag = a2 - a1 <= Math.PI ? 0 : 1;
    svgPath += `M ${X1} ${Y1} A ${R} ${R} 1 ${largeArcFlag} 1 ${X2} ${Y2}`;
  }

  if (roundInsideCut) {
    const roundDeltaAngle = Math.asin(roundRadius / r);
    const largeArcFlag =
      a2 - roundDeltaAngle - (a1 + roundDeltaAngle) <= Math.PI ? 0 : 1;
    const x1i = Math.sin(a1) * (r + roundRadius);
    const y1i = -Math.cos(a1) * (r + roundRadius);
    const x1o = Math.sin(a1 + roundDeltaAngle) * r;
    const y1o = -Math.cos(a1 + roundDeltaAngle) * r;
    const x2i = Math.sin(a2) * (r + roundRadius);
    const y2i = -Math.cos(a2) * (r + roundRadius);
    const x2o = Math.sin(a2 - roundDeltaAngle) * r;
    const y2o = -Math.cos(a2 - roundDeltaAngle) * r;
    // Rounded start
    svgPath += `L ${x2i} ${y2i} A ${roundRadius} ${roundRadius} 1 0 1 ${x2o} ${y2o}`;
    // Arch
    svgPath += `A ${r} ${r} 1 ${largeArcFlag} 0 ${x1o} ${y1o}`;
    // Rounded end
    svgPath += `A ${roundRadius} ${roundRadius} 1 0 1 ${x1i} ${y1i}`;
  } else {
    const largeArcFlag = a2 - a1 <= Math.PI ? 0 : 1;
    svgPath += `L ${x2} ${y2} A ${r} ${r} 1 ${largeArcFlag} 0 ${x1} ${y1}`;
  }
  svgPath += `Z`;
  return svgPath;
}