success/src/math.ts

// https://stackoverflow.com/a/6853926/232122
export function distanceBetweenPointAndSegment(
  x: number,
  y: number,
  x1: number,
  y1: number,
  x2: number,
  y2: number,
) {
  const A = x - x1;
  const B = y - y1;
  const C = x2 - x1;
  const D = y2 - y1;

  const dot = A * C + B * D;
  const lenSquare = C * C + D * D;
  let param = -1;
  if (lenSquare !== 0) {
    // in case of 0 length line
    param = dot / lenSquare;
  }

  let xx, yy;
  if (param < 0) {
    xx = x1;
    yy = y1;
  } else if (param > 1) {
    xx = x2;
    yy = y2;
  } else {
    xx = x1 + param * C;
    yy = y1 + param * D;
  }

  const dx = x - xx;
  const dy = y - yy;
  return Math.hypot(dx, dy);
}

export function rotate(
  x1: number,
  y1: number,
  x2: number,
  y2: number,
  angle: number,
) {
  // 𝑎′𝑥=(𝑎𝑥−𝑐𝑥)cos𝜃−(𝑎𝑦−𝑐𝑦)sin𝜃+𝑐𝑥
  // 𝑎′𝑦=(𝑎𝑥−𝑐𝑥)sin𝜃+(𝑎𝑦−𝑐𝑦)cos𝜃+𝑐𝑦.
  // https://math.stackexchange.com/questions/2204520/how-do-i-rotate-a-line-segment-in-a-specific-point-on-the-line
  return [
    (x1 - x2) * Math.cos(angle) - (y1 - y2) * Math.sin(angle) + x2,
    (x1 - x2) * Math.sin(angle) + (y1 - y2) * Math.cos(angle) + y2,
  ];
}