How can I tell if a closed path contains a given point?

Question

In Android, I have a Path object which I happen to know defines a closed path, and I need to figure out if a given point is contained within the path. What I was hoping for

Answer 1

WebKit's SkiaUtils has a C++ work-around for Randy Findley's bug:

bool SkPathContainsPoint(SkPath* originalPath, const FloatPoint& point, SkPath::FillType ft)
{
  SkRegion rgn;
  SkRegion clip;

  SkPath::FillType originalFillType = originalPath->getFillType();

  const SkPath* path = originalPath;
  SkPath scaledPath;
  int scale = 1;

  SkRect bounds = originalPath->getBounds();

  // We can immediately return false if the point is outside the bounding rect
  if (!bounds.contains(SkFloatToScalar(point.x()), SkFloatToScalar(point.y())))
      return false;

  originalPath->setFillType(ft);

  // Skia has trouble with coordinates close to the max signed 16-bit values
  // If we have those, we need to scale. 
  //
  // TODO: remove this code once Skia is patched to work properly with large
  // values
  const SkScalar kMaxCoordinate = SkIntToScalar(1<<15);
  SkScalar biggestCoord = std::max(std::max(std::max(bounds.fRight, bounds.fBottom), -bounds.fLeft), -bounds.fTop);

  if (biggestCoord > kMaxCoordinate) {
      scale = SkScalarCeil(SkScalarDiv(biggestCoord, kMaxCoordinate));

      SkMatrix m;
      m.setScale(SkScalarInvert(SkIntToScalar(scale)), SkScalarInvert(SkIntToScalar(scale)));
      originalPath->transform(m, &scaledPath);
      path = &scaledPath;
  }

  int x = static_cast(floorf(point.x() / scale));
  int y = static_cast(floorf(point.y() / scale));
  clip.setRect(x, y, x + 1, y + 1);

  bool contains = rgn.setPath(*path, clip);

  originalPath->setFillType(originalFillType);
  return contains;
}