How to return NULL object in C++

If you use the Boost libraries, then you can use boost::optional. That gives you something that is pretty close to a null value:

boost::optional<Normal> Sphere::hit(Ray ray) {
   //stuff is done here
   if(something happens) {
       return boost::none;
   }
   //other stuff
   return Normal(something, somethingElse);
}

boost::optional< T> is a wrapper class that contains either an instance of T or boost::none (an instance of boost::none_t).

See http://www.boost.org/doc/libs/1_47_0/libs/optional/doc/html/index.html for more details.

There are several fairly standard ways of doing this. There are different tradeoffs for the methods, which I'm not going to go into here.

Method 1: Throw an exception on failure.

Normal Sphere::hit(Ray ray)
{
   //stuff is done here
   if(something happens) {
       throw InvalidIntersection;
   }
   //other stuff
   return Normal(something, somethingElse);
}

void example(Ray r)
{
   try {
     Normal n = s.hit(r);
     ... SUCCESS CASE ...
   }
   catch( InvalidIntersection& )
   {
      ... FAILURE CASE ...
   }
}

Method 2 return a pointer to a newly allocated object. (You could also use smart pointers, or auto_ptrs to make this a little neater).

Normal* Sphere::hit(Ray ray)
{
   //stuff is done here
   if(something happens) {
       return NULL
   }
   //other stuff
   return new Normal(something, somethingElse);
}

void example(Ray ray)
{
  Normal * n = s.hit(ray);
  if(!n) {
     ... FAILURE CASE ...
  } else {
    ... SUCCESS CASE ...
    delete n;
  }
}

Method 3 is to update an existing object. (You could pass a reference, but a convention I use is that any output parameter is passed by pointer).

bool Sphere::hit(Ray ray, Normal* n)
{
   //stuff is done here
   if(something happens) {
       return false
   }
   //other stuff
   if(n) *n = Normal(something, somethingElse);
   return true;
}

void example(Ray ray)
{
  Normal n;
  if( s.hit(ray, &n) ) {
     ... SUCCESS CASE ...
  } else {
     ... FAILURE CASE ...
  }
}

Method 4: Return an optional<Normal> (using boost or similar)

optional<Normal> Sphere::hit(Ray ray)
{
   //stuff is done here
   if(something happens) {
       return optional<Normal>();
   }
   //other stuff
   return optional<Normal>(Normal(something, somethingElse));
}

void example(Ray ray)
{
  optional<Normal> n = s.hit(ray);
  if( n ) {
     ... SUCCESS CASE (use *n)...
  } else {
     ... FAILURE CASE ...
  }
}

I think you need something like

Normal* Sphere::hit(Ray ray) {
   //stuff is done here
   if(something happens) {
       return NULL;
   }
   //other stuff
   return new Normal(something, somethingElse);
}

to be able to return NULL;