Pointer arithmetic in c and array bounds

Question

I was browsing through a webpage which had some c FAQ's, I found this statement made.

Similarly, if a has 10 elements and ip points to a[3], you can't compute or access ip + 10 or ip - 5. (There is one special case: you can, in this case, compute, but not access, a pointer to the nonexistent element just beyond the end of the array, which in this case is &a[10].

I was confused by the statement

you can't compute ip + 10

I can understand accessing the element out of bounds is undefined, but computing!!!.

I wrote the following snippet which computes (let me know if this is what the website meant by computing) a pointer out-of-bounds.

#include <stdio.h>                                                                                                                                                                  

int main()                                                                                                                                                                          
{                                                                                                                                                                                   
        int a[10], i;                                                                                                                                                               
        int *p;                                                                                                                                                                     

        for (i = 0; i<10; i++)                                                                                                                                                      
                a[i] = i;                                                                                                                                                           

        p = &a[3];                                                                                                                                                                  

        printf("p = %p and p+10 = %p\n", p, p+10);                                                                                                                                  
        return 0;                                                                                                                                                                   
}                     

$ ./a.out                                                                                                                                     
p = 0xbfa53bbc and p+10 = 0xbfa53be4     

We can see that p + 10 is pointing to 10 elements(40 bytes) past p. So what exactly does the statement made in the webpage mean. Did I mis-interpret something.

Even in K&R (A.7.7) this statement is made:

The result of the + operator is the sum of the operands. A pointer to an object in an array and a value of any integral type may be added. ... The sum is a pointer of the same type as the original pointer, and points to another object in the same array, appropriately offset from the original object. Thus if P is a pointer to an object in an array, the expression P+1 is a pointer to the next object in the array. If the sum pointer points outside the bounds of the array, except at the first location beyond the high end, the result is undefined.

What does being "undefined" mean. Does this mean the sum will be undefined, or does it only mean when we dereference it the behavior is undefined. Is the operation undefined even when we do not dereference it and just calculate the pointer to element out-of-bounds.

Answer 1

Undefined behavior means exactly that: absolutely anything could happen. It could succeed silently, it could fail silently, it could crash your program, it could blue screen your OS, or it could erase your hard drive. Some of these are not very likely, but all of them are permissible behaviors as far as the C language standard is concerned.

In this particular case, yes, the C standard is saying that even computing the address of a pointer outside of valid array bounds, without dereferencing it, is undefined behavior. The reason it says this is that there are some arcane systems where doing such a calculation could result in a fault of some sort. For example, you might have an array at the very end of addressable memory, and constructing a pointer beyond that would cause an overflow in a special address register which generates a trap or fault. The C standard wants to permit this behavior in order to be as portable as possible.

In reality, though, you'll find that constructing such an invalid address without dereferencing it has well-defined behavior on the vast majority of systems you'll come across in common usage. Creating an invalid memory address will have no ill effects unless you attempt to dereference it. But of course, it's better to avoid creating those invalid addresses so that your code will work perfectly even on those arcane systems.