#include "Point.hpp"

bool bsp(Point const a, Point const b, Point const c, Point const point) {
  Fixed area = Point::triangleArea(a, b, c);
  if (area == 0)
    return false;
  Fixed area1 = Point::triangleArea(point, a, b);
  if (area1 == 0)
    return false;
  Fixed area2 = Point::triangleArea(point, b, c);
  if (area2 == 0)
    return false;
  Fixed area3 = Point::triangleArea(point, a, c);
  if (area3 == 0)
    return false;
  return area1 + area2 + area3 == area;
}