Vector2 Ellipse::GetSupport(const Vector2 &direction) const
{
Vector2 support;
// circle case
if (Math::IsEqual(_dimensions.x, _dimensions.y))
{
float theta = direction.Angle()
, s
, c;
Math::SinCos(theta, s, c);
support.x = _dimensions.x * c;
support.y = _dimensions.x * s;
}
// ellipse case
else
{
float theta = direction.Angle() - _rotation
, s
, c;
Math::SinCos(theta, s, c);
support.x = _dimensions.x * c * _c - _dimensions.y * s * _s;
support.y = _dimensions.x * c * _s + _dimensions.y * s * _c;
}
return _position + support;
}
