Difference between function arguments declared with & and * in C++

I typed the following example:

#include <iostream>
double f(double* x, double* y)
{
	std::cout << "val x: " << *x << "\n";
	std::cout << "val y: " << *y << "\n";
	return *x * *y;
}
double f2(double &x, double &y)
{
	std::cout << "val x: " << x << "\n";
	std::cout << "val y: " << y << "\n";
	return x * y;
}
int main()
{
	double a, b;
	a = 2;
	b = 3; 
	std::cout << f(&a, &b) << "\n";
	std::cout << f2(a, b) << "\n";
	return 0;
}	

In the function f I declare x and y as pointers of which I can get the value by using *x. When calling f I need to pass the address of my passed arguments, that is why I pass &a, &b. f2 is the same except the definition is different.

Now my question is: Are they both really the same concerning memory management? Both not making any copy of the passed value but instead passing a reference? I wonder about f2 because I couldn't read out the address of x in f2 so I know more about x and y in f (there I know address AND value).

Thanks in advance!

Edit: Okay thanks, after doing some more research, I found a quite useful topic:

https://stackoverflow.com/questions/114180/pointer-vs-reference There's also a link to google coding guidelines http://google-styleguide.googlecode.com/svn/trunk/cppguide.xml#Reference_Arguments which is quite useful I feel (as I understood now, it's a form of subject taste) to make more clear

f2 is taking it's arguments by reference, which is essentially an alias for the arguments you pass. The difference between pointer and reference is that a reference cannot be NULL. With the f you need to pass the address (using & operator) of the parameters you're passing to the pointer, where when you pass by reference you just pass the parameters and the alias is created.

Passing by const reference (const double& ref) is preferred when you are not going to change the arguments inside the function, and when you are going to change them, use non-const reference.

Pointers are mostly used when you need to be able to pass NULL to your parameters, obviously you'd need to check then inside your function if the pointer was not NULL before using it.

This is just syntactic sugar to avoid having to use * everytime you reference the argument. You still can use & to have the address of x in f2.

Another difference that hasn't been mentioned is that you cannot change what a reference refers to. This doesn't make a lot of difference in the function call example shown in the original question.

int X(10), Y(20);
int *pX = X;
int& rY = Y;

*pX = 15; // change value of X
rY = 25;  // change value of Y

pX = Y;   // pX now points to Y

rY always points to Y and cannot be moved.

References can't be used to index into simple arrays like pointers.

In my head, parameters of functions are always passed by value. Passing an int is easy to imagine, passing a double is just bigger and passing a struct or class could be very big indeed.
But passing a pointer to something, well, you're just passing an address by value. (A pointer is often a convenient size for the CPU just like an int.)
A reference is very similar, and certainly I think of a reference as a pointer, but with syntactic sugar to make it look like the object its referring to has been passed by value.

You can also think of a reference as a const pointer, ie:

int i;
int j;
int* p = &i;           // pointer to i
int* const cp = p;     // cp points to i, but cp cannot be modified
p = &j;                // OK - p is modified to point to j
*cp = 0;               // OK - i is overwritten
cp = &j;               // ERROR - cp cannot be modified

int& ri = i;           // ri refers to i
ri = 1;                // i is overwritten
ri = j;                // i is overwritten again
                       // Did you think ri might refer to j?

So, a pointer does double time: It is a value in its own right, but it can also point to another value when you dereference it, eg: *p.
Also, having reference parameters means that you cannot make them refer to anything else during the lifetime of the function because there's no way to express that.

A reference is supposed not to be able to be initialised with null, but consider this:

void foo(int& i);

int* p = 0;
foo(*p);

This means that pointers should be checked before you use them, but references cannot be checked. The implementation of foo() could try to read from or write to i which will cause an access violation.

In the above example the pointer p should have been checked before being used in the call to foo:

if (p) foo(*p);

You should have been able to read x address in both functions.

To do so in f2, you must of course prefix x by a & since there, x is a reference to a double, and you want an address.

A worth noticing difference between references and pointers is that the former cannot be NULL. You must pass something (valid) while when providing a pointer, you must specify in the documentation if passing NULL is allowed/well defined.

Another difference is a matter of readability: using references instead of pointers (when possible) makes the code less cluttered with * and ->.