C Memory Model | CS 2113 Software Engineering - Fall 2021

Memory Model #

So far in programming C, we haven’t given a lot of thought to the variables we declare and what it actually means to declare a variable of a given type. Recall that in C the notion of a type and the amount of memory to store that type are strongly linked. For the basic types we’ve looked at so far, here are their memory requirements:

But, what does it mean for a type to require memory, and where does that memory come from and how is it managed? Understanding the memory model in C is vital to becoming a good programmer because there are situations where you have to use complex memory management to write effective programs. Simple mistakes can lead to programs with mysterious bugs that fail in inexplicable ways.

Local Memory Allocation on the Stack #

When you declare a variable, you are actually stating to C that you need to create space for the data of that variable to exist. Consider a very simple example.

int a = 10;

The declaration of the integer a will allocate memory for the storage for an integer (4-bytes). We refer to the data stored in memory via the variable a.

Memory allocation refers to the process by which the program makes “space” for the storage of data. When you declare a variable of a type, enough memory is allocation locally to store data of that type. The allocation is local, occurring within the scope of the function, and when that function returns the memory is deallocated. This should be intuitive based on your experience with programming so far, you can’t reference a variable outside the scope of your function.

However with pointers in C, it’s easy to make mistakes where your pointer references a memory address out of scope of the current function or even completely unallocated memory. As an example of a common mistake, consider the simple program below which has a function plus() which adds two numbers and returns a memory address for the result value.

int * plus(int a, int b){
  int c = a + b;
  return &c;    //return a reference to
                //locally declared c
}

int main(int argc, char * argv[]){
  int * p = plus(1,2);
  printf("%d\n",*p); //dereference return value
                     //to print an integer 
}

The function plus is declared to take two integers as arguments and return a pointer to an integer. Within the body of the function, the two integers are summed together, and the result in stored in c, a variable declared locally within the context of the function. The function then returns the memory address of c, which is assigned to the pointer value p in main.

What’s the problem? The memory of c is deallocated once the function returns, and now p is referencing a memory address which is unallocated. The print statement, which deferences p, following the pointer to the memory address, may fail. The above code is bad, and you can also follow the reasoning with a stack diagram.

            plus(1,2)         return &c            printf("%d\n",*p)
             
(main)         |  (main)         |  (main)            |  (main)
.---.----.     |  .---.----.     |  .---.----.        |  .---.----.
| p |  .-+-X   |  | p |  .-+-X   |  | p |  .-+---.    |  | p |  .-+---.
'---'----'     |  '---'----'     |  '---'----'   |    |  '---'----'   |
               | -------------   | ------------  |    |               |
               |  (plus)         |  (plus)       |    |               |
               |  .---.---.      |  .---.---.    |    |               |
               |  | a | 1 |      |  | a | 1 |    |    |               |
               |  |---|---|      |  |---|---|    |    |               |
               |  | b | 2 |      |  | b | 2 |    |    |               |
               |  |---|---|      |  |---|---|    |    |               |
               |  | c | 3 |      |  | c | 3 | <--'    |            X--'
               |  '---'---'      |  '-------'
                
                c exists locally    returning a reference       When p is dereferenced
                in plus()           to c assined to p           it points to unallocated memory

First, in main(), p waits for the result of the call to plus(), which set’s c. Once plus() returns, the value of p references a variable declared in plus(), but all locally declared variables in plus() are deallocated once plus() returns. That means, by the time the printf() is called and p is dereferenced, the memory address references unallocated memory, and we cannot guarantee that the data at that memory address will be what we expect.

The Stack #

Another term for local memory allocation is stack allocation because the way programs track execution across functions is based on a stack. A stack is a standard ordred data structure, like a list, that has the property that the last item inserted on the stack is the first item that is removed. This is often referred to as LIFO data structure, last-in-first-out. A stack has two primary functions:

The stack’s top always references the last item pushed onto the stack, and the items below the top are ordered base on when they were pushed on. The most recently pushed items come first. This means when you pop items off the top stack, the next item becomes the next top, which maintains the LIFO principle.

The stack model (last-in-first-out) matches closely the model of function calls and returns during program execution. The act of calling a function is the same as pushing the called function execution onto the top of the stack, and, once that function completes, the results are returned popping the function off the stack.

Each function is contained within a structure on the stack called a stack frame. A stack frame contains all the allocated memory from variable deliberations as well as a pointer to the execution point of the calling function, the so called return pointer. A very common exploit in computer security is a buffer overflow attack where an attacker overwrite the return pointer such that when the function returns, code chosen by the attacker is executed.

To understand how function calls are modeled in the stack, we have nested function calls under addonetwo(), and which ever function is currently executing has the stack frame at the top of the stack and the calling function, where to the current function returns, is the stack frame next from top. When the current function returns, its stack frame is popped off the stack, and the calling function, now the top of the stack, continues executing from the point of function call.


int gettwo(){
   return 2;
} 

int getone(){
  return 1;
}

int addonetwo(){
  int one = getone();
  int two = gettwo();
  return one+two;
}

int main(){
  int a = func2();

}
            program executed     .------ top of stack
                                 v
                main()
push main         |      |     main()     |
                  |      '----------------' 

              addonetwo()
                  |
push addonetwo    |      |   addonetwo()  |
                  |      |     main()     |
                  |      '----------------'

               getone()
                  |
                  |      |     getone()   |
push getone       |      |   addonetwo()  |
                  |      |     main()     |
                  |      '----------------'

               return 1
pop               |      |   addonetwo()  |
                  |      |     main()     |
                  |      '----------------'

               gettwo()
                  |
                  |      |     gettwo()   |
push gettwo       |      |   addonetwo()  |
                  |      |     main()     |
                  |      '----------------'

               return 2
pop               |      |   addonetwo()  |
                  |      |     main()     |
                  |      '----------------'

           return  1 + 2 
pop               |      |     main()     |
                  |      '----------------'

             program exits

The act of pushing and popping functions onto the stack also affects the memory allocation. By pushing a function onto the stack, the computer is actually allocating memory for the function’s local variables, and once that function returns, the function and its allocated memory is popped off the stack, deallocating it. This is why local declared variables are also called stacked variables.

Following the example from before we can now better understand why it fails by adding in the pushes and pops of the stack.

            *PUSH*            *POP*

            plus(1,2)         return &c            printf("%d\n",*p)
             
(main)         |  (main)         |  (main)            |  (main)
.---.----.     |  .---.----.     |  .---.----.        |  .---.----.
| p |  .-+-X   |  | p |  .-+-X   |  | p |  .-+---.    |  | p |  .-+---.
'---'----'     |  '---'----'     |  '---'----'   |    |  '---'----'   |
               | -------------   | ------------  |    |               |
               |  (plus)         |  (plus)       |    |               |
               |  .---.---.      |  .---.---.    |    |               |
               |  | a | 1 |      |  | a | 1 |    |    |               |
               |  |---|---|      |  |---|---|    |    |               |
               |  | b | 2 |      |  | b | 2 |    |    |               |
               |  |---|---|      |  |---|---|    |    |               |
               |  | c | 3 |      |  | c | 3 | <--'    |            X--'
               |  '---'---'      |  '-------'
                
             Pusing plus()           The return of plus()      When p is dereferenced          
             onto the stack          pops it off the stack     in the print, p now 
             allocates memory        unallocated all stack     references unallocated
             for c                   variables including c     memory

Global Memory Allocation on the Heap #

Just because the sample program with plus() from the previous section doesn’t work properly when returning a memory reference, it does not mean you cannot write functions that return a memory reference. What is needed is a different allocation procedure for global memory which is not deallocated automatically when functions return and thus remains in scope for the entirety of the program execution.

In fact, you have already seen how to do this in C++ when you using the new construct. When you call new for some structure, what is actually going on? Consider the small code snippet below:

Node * node = new Node();

The local variable declaration is for the variable node, but that’s just a pointer to some memory. The variable node, itself, is declared on the stack and has enough memory to store a memory address. The value of that memory address is set by the return of the call new Node(). The new function will automatically allocate enough memory to store a Node structure and the node variable now references that memory. But, where does this new memory come from?

If you think about it, the memory cannot have been allocated on the stack because it is memory being returned from a function, the new function. As we’ve seen previously, if a function returns a local reference of a variable declared on the stack, that memory is automatically deallocated when the function returns. Instead, this memory must have been allocated somewhere else, and it is. The new function performs a dynamic memory allocation in global memory that is not associated with scope of functions or the stack. It is instead allocating on the heap.

The heap, malloc() and free() #

The global memory region for a program is called the heap, which is a fragmented data structure where new allocation try and fit within unallocated regions. Whenever a program needs to allocate memory globally or in a dynamic way, that memory is allocated on the heap, which is shared across the entire program irrespective of function calls.

In C the new function is called malloc(), or memory allocator. The malloc() function takes the number of bytes to be allocated as its argument, and it returns a pointer to a memory region on the heap of the requested byte-size. Here is a code snippet to allocate memory to store an integer on the heap:

//                           .--- Allocate sizeof(int) number of bytes 
//                           v
 int * p = (int *) malloc(sizeof(int));
//            ^
//            '-- Cast to a integer pointer

First, to allocate an integer on the heap, we have to know how big an integer is, that is, what size is it, which we learn via sizeof() macro. Since an int is 4 byes in size, malloc() will allocate 4 bytes of memory on the heap in which an integer can be stored. malloc() then returns the memory address of the newly allocated memory, which is assigned to p. Since malloc() is a general purpose allocation tool, just allocating bytes which can be used to store data generally, we have to cast the resulting pointer value to the right type, int *. If we don’t, the program won’t fail, but you will get a compiler warning.

We can now use p like a standard pointer as before; however, once we’re done with p we have to explicitly deallocate it. Unlike stack based memory allocations which are implicitly deallocated when functions return, there is no way for C to know when you are done using memory allocated on the heap. C does not track references, like Java, so it can’t perform garbage collection; instead, you, the programmer, must indicate when you’re done with the memory by freeing. The deallocation function is free() (equivalent to delete in C++), which takes a pointer value as input and “frees” the referenced memory on the heap.

int * p = (int *) malloc(sizeof(int));

//do something with p

free(p); //<-- deallocate p

With all of that, we can now complete the plus() program to properly return a memory reference to the result.

int * plus(int a, int b){ 
  int *p = (int *) malloc(sizeof(int)); //allocate enough space for 
  *p = a + b;                   //for an integer
  return p;  //return pointer

}

int main(int argc, char * argv[]){
  int * p = plus(1,2); //p now references memory on the heap
  printf("%d\n",*p); 
  free(p); //free allocated memory
}

Memory Leaks and other Memory Violations #

In C (and C++), the programer is responsible for memory management, which includes both the allocation and deallocation of memory. As a result, there are many mistakes that can be made, which is natural considering that all programers make mistakes. Perhaps the most common mistake is a memory leak, where heap allocated memory is not freed. Consider the following program.

int main(int argc, char * argv[]){
  int i, * p;

  for(i=0;i>100;i++){
    p = (int *) malloc(sizeof(int));
    *p = i;
  }

}

At the malloc, on Line 5, the returned pointer to newly allocated memory is overwriting the previous value of p. There is no free() occuring, and once the previous pointer value is overwritten, there is no way to free that memory. It is considered lost, and the above program has a memory leak. Memory leaks are very bad, and over time, can cause your program to fail.

Another common mistake is dereferencing a dangling pointer. A dangling pointer is when a pointer value once referenced allocated memory, but that memory has seen been dealocated. We see an example of this already in the plus() program, but it can also occur for heap allocations.

int main(int argc, char * argv[]){
  int *p = (int *) malloc(sizeof(int));
  //... code
  free(p);
  //... code  
  *p = 10;
}

Once p has been freed, the memory referenced by the p’s value can be reclaimed by other allocations. At the point where p is dereferenced for the assignment, it might be the case that you are actually overwriting memory for some other value, and corrupting your program. Once memory is freed, it should never be dereferenced. These kinds of memory violations can lead to the dreaded SEGFAULT.

Another, common mistake with memory allocation is a double free. The heap allocation functions maintain special data structures so that it is easy to find unallocated memory and reallocate for future malloc() calls. If you call free() twice on a pointer, you will corrupt that process, result in a core dump or some other very scary error.

Program Layout: Stack vs. Heap #

Now that you understand the two different memory allocation procedures, let’s zoom out and take a larger look at how memory in programs is managed more generally. Where is the stack? Where is the heap? How do they grow or shrink?

To answer these questions, you first need to think of a program as a memory profile. All information about a program, including the actual binary code and variables all are within the memory layout of a program. When executing, the Operating System will manage that memory layout, and a snapshot of that memory and the current execution point basically defines a program. This allows the operating system to swap in and out programs as needed.

On 64-bit machines, the total available memory addresses are from 0 to 264-1. For a program, the top and bottom of the address space are what is important. We can look at the program’s memory layout in diagram form:

     2^64-1--->  .----------------------.
High Addresses   |      Enviroment      |
                 |----------------------|
                 |                      |   Functions and variable are declared
                 |         STACK        |   on the stack.
base pointer ->  | - - - - - - - - - - -|
                 |           |          |
                 |           v          |
                 :                      :
                 .                      .   The stack grows down into unused space
                 .         Empty        .   while the heap grows up. 
                 .                      .
                 .                      .   (other memory maps do occur here, such 
                 .                      .    as dynamic libraries, and different memory
                 :                      :    alloocat)
                 |           ^          |
                 |           |          |
 break point ->  | - - - - - - - - - - -|   Dynamic memory is declared on the heap
                 |          HEAP        |
                 |                      |
                 |----------------------|
                 |          BSS         |   The compiled binary code is down here as
                 |----------------------|   well as static and initialzed data
                 |          Data        |
                 |----------------------|
Low Addresses    |          Text        |
      0 ----->   '----------------------'  

At the higher addresses is the stack and at the lower address is the heap. The two memory allocation regions grow into the middle of the address space, which is unused and unallocated. In this way, the two allocations will not interfere with each other. The stack base pointer is the current top of the stack, and as functions are called and returned, it will shift appropriately. The break point refers to the top of the programs data segment, which contains the heap. As the heap fills up, requirement more space, the break is set to higher addresses.

You should note that this memory layout is virtual. From the program’s perspective it has access to the entire address range, but in reality, this might not be the case because the program is sharing physical memory with other programs, including the operating system. How that process works is a discussion for another class.

Memory Mapping and Dynamic Libraries #

Between the break point and the base pointer is unallocated memory, but it may not be unused. This region can be memory mapped, which is the process of loading data directly from files into memory. As the programmer, you can directly memory map files, but often this is done automatically for you when you read and write files.

Another common use for the middle addresses is the loading of dynamic shared libraries. When you make a call to a function like printf() or malloc(), the code for those functions exist in shared libraries, the standard C library, to be precise. Your program must run that code, but the operating system doesn’t want to have load more code into memory than needed. Instead, the O.S. loads shared libraries dynamically, and when it does so, it maps the necessary code into the middle address spaces.

Address Space Randomization #

A final note about program memory address is that it is not consistent across runs. Take a look at the very simple program:

/*random.c*/
#include <stdio.h>
#include <stdlib.h>

int main(int argc, char * argv[]){
  int a;
  printf("0x%p\n",&a); //print the address of a                                                                                                                        
}

All this program does is print the address of the statically declared variable a. With your knowledge of the memory address layout, you could probably say with confidence that the address value should be a relatively large number, but you might also expect that it would be consistent across runs of the program.

$ for i in `seq 1 1 10`; do ./random; done
0x0x7fff58e0cafc
0x0x7fff50fffafc
0x0x7fff59a6dafc
0x0x7fff508c3afc
0x0x7fff533c8afc
0x0x7fff539a9afc
0x0x7fff528c6afc
0x0x7fff50984afc
0x0x7fff52f13afc
0x0x7fff5c97aafc

In fact, it is not consistent. While the addresses are relatively high in the address space, their least significant bits are quite random. This is on purpose, and for security purposes. The stack values also contain important pointers to next bit of code that should be executed, this is how program knows how to return to the previous execution prior to the function call. In a buffer overflow attack, the attacker overwrites the return pointer allowing code to be executed of the attacker’s choosing, which can be exploit code. In order for the attack to be successful, the attacker must know exactly where in the program to set the return pointer, but if the addresses are randomized, this because a much more difficult tasks. Which is why the address space is randomized.

Dynamic Array Allocation #

From the last class, we discuss the standard memory allocation situation where we need to allocate memory on the heap.

int * p = (int *) malloc(sizeof(int));
*p = 10;
 STACK          HEAP
.---.----.     .----.
| p |  .-+---->| 10 |
'---'----'     '----'

On the left, we use malloc() to allocate enough memory to store an int, and we assign the address of that memory to the integer pointer, p. On the right, is the stack diagram of this allocation. The pointer p exists on the stack, but it now references the memory on the heap.

We now know, in excruciating detail, that arrays and pointers are the same. This idea extends to the dynamic allocation of arrays. If we have an integer pointer p it can point to a single integer, or it can point to the start of a sequence of integers. A sequence of contiguous integers is an array. All we need is to allocate enough space to store all those integers, and malloc() can do that too.

Consider what’s needed to allocate an array of a given size. For example, how many bytes would be needed to allocate an integer array of size 5? There are 4-bytes for each integer, and the array holds 5 integers: 20 bytes. To allocate the array, we just ask malloc() to allocate 20 bytes, and cast the result to an int *, like below.

int * p = (int *) malloc(5*sizeof(int));
p[0] = 10;
p[1] = 20;
//...
p[4] = 50;
 STACK          HEAP
.---.----.     .----.
| p |  .-+---->| 10 | p[0]
'---'----'     |----|
               | 20 | p[1]
               |----|
               :    :  
               .    .
               :    :
               |----|
               | 50 | p[4]
               '----'

The result of the malloc() is 20 bytes of contiguous memory which is referenced by an integer pointer, which is the same as an array! We can even use the array indexing method, [], to access and assign to the array.

Array allocation with calloc() #

Because allocating items as an array is so common, we have a special function for it.

int *p = (int *) calloc(5, sizeof(int));

While allocating arrays with malloc() is simple and effective, it can be problematic. First off, malloc() makes no guarantee that memory allocated will be clean — it can be anything. For example, consider this simple program:

//allocate a 20 byte array
int * a = (int *) malloc(20 * sizeof(int));
int i;
for(i = 0; i < 20; i++){
  printf("%d\n",i);
}

What is the output of this program? We don’t know. It’s undefined. The allocated memory from malloc() can have any value, usually whatever value the memory used to have if it was previously allocated. If you don’t believe me, try running and executing the program a few times, and you’ll see that you can get widely different results.

The second problem with using malloc() is that it is a multi-purpose allocation tool. It is generally designed to allocate memory of a given size that can be used for both arrays and other data types. This means that to allocate an array of the right size, you have to perform an arithmetic computation, like 20 * sizeof(int), which is non-intuitive and reduces the readability of code.

To address these issues, there is a special purpose allocator that is a lot more effective for array allocation. It’s calloc() or the counting allocator. It’s usage is as follows.

//  The number of items 
//  to be allocated      --.
//                         |
//                         v
  int * a = (int *) calloc(20, sizeof(int));
//                                  ^
//                                  |      
//                            The size of each item

calloc() takes two arguments, the number of items needed and the size of each item. For an array, that is the length of the array, and the size is the sizeof() the array type, which is int in this case. Not only does calloc() make the array allocation more straight forward, it will also zero-out or clean the memory that is allocated. For example, this program will always print 0’s.

//allocate a 20 byte array
int * a = (int *) calloc(20, sizeof(int));
int i;
for(i = 0; i < 20; i++){
  printf("%d\n",i); // 0 b/c calloc zeros out allocated memory
}

Double Pointer Arrays for Advanced Data Types #

So far in this lesson we’ve discussed allocating basic types, but we can also dynamically allocate memory for other types, such as strings and structures. For example, consider the pair_t structure below:

typedef struct{
  int left;
  int right;
} pair_t;

Suppose we want an array of such structures, then we can use dynamic allocation using calloc() to allocate array of pair_t’s just like we did to generate an array of int’s.

pair_t * pairs = (pair_t *) calloc(10, sizeof(pair_t));

pairs[0].left  =  2;  //do assignment
pairs[0].right = 10;

As you can see, once the array is generated, we can access each individual pair_t using array indexing, and the array was allocated with enough memory for 10 pair_t strucutes we use the . operator to access each item.

This allocation is fine for many circumstances, but it can pose some subtle problems in certain situations. Suppose we wanted to keep track of which pairs have been set and which have not? Could we just look at the array of pairs and know this? We can’t because calloc() will zero out all the pairs and we can’t tell difference between a pair just stores to zeros and one that was not set. Another problem could occur if we want to be memory efficient. What if we only want to allocate the full pair_t struct as needed?

Adding an extra layer of redirection makes such tasks much easier. Essentially, we wish to construct an array of pointers to the desired type, or a pointer to a pointer, a double pointer. Instead of having an array of pair_t’s, we have an array of pointers to pair_t’s. Then we can know if the pair_t is set because either the pointer will be NULL or it will reference a pair_t, and we can allocate new pair_t’s as needed. The allocation is as follows:

//     .-- Double Pointer -.          array of pair_t pointers
//     |                   |                      |
//     v                   v                      v
pair_t ** pairs = (pair_t **) calloc(10, sizeof(pair_t *));

pairs[0] = malloc(sizeof(pair_t)); //allocate memory for a new pair_t

pairs[0]->left  =  2; //do assignment
pairs[0]->right = 10;

While at first this might seem like a funky and unnecessary way of allocating structure types, but it is quite common in practice. It is often the case that you will need to store and reference a number of structure types, the amount of them is unknown ahead of time. Managing all this data requires careful programing and memory management. Keeping track of what has been allocated, what has been freed, and what resources are newly available are the key to designing good programs.

Deallocating Double Pointers #

A common mistake when dealing with double pointers is poor deallocation. Let’s extend the above example by modularizing the process of creating the array of pair pointers and the addition of a new pair into functions to simplify the code. This might look like below.


pair_t ** new_pairs(){
    pair_t ** pairs = (pair_t **) calloc(10, sizeof(pair_t *));
    return pairs;
}

pair_t * add_pair(pair_t ** pairs, int left , int right){
  int i;
  for(i=0;i<10;i++){
    if(pairs[i] == NULL){
      pairs[i] = malloc(sizeof(pair_t)); //allocate

      pairs[i]->left = left;//do asignment
      pairs[i]->right = right;

      return pairs[i]; //return the new pair
    }
  }  
  return NULL; //list full, return NULL for eror
}

int main(int argc, char * argv[]){
  pair_t ** pairs = new_pairs(); //create a new pair array

  add_pair(pairs, 2, 10); //assign a new pair
  add_pair(pairs, 0, 3); //assign a new pair
  //...
  // deallocate?
}

Now, the addition of a new pair is as simple as calling add_pair() which will find the first NULL pointer in the pairs array to do the insert. If the array is full, it returns NULL on error.

This is great! We’ve just generalized our double pointer array into a mini data structure that is memory efficient and easy to use. There’s one problem though, how do we properly deallocate the double pointer to make sure we don’t have a memory leak? The following will not work:

void delete_pairs(pair_t ** pairs){
   free(pairs); // memory leak!!!  
}

This will cause a memory leak because the index of pairs are pointers which may reference other allocated memory. You can’t just free up the larger array without first deallocating any memory referenced from within the array. If you do, then the address of that memory will be lost, thus leaking the memory.

Instead, you have to be more careful and generate a code block to deallocate it properly.

void delete_pairs(pair_t ** pairs){
  int i;

  for(i=0;i<10;i++){
    if (pairs[i] != NULL){ //don't want to free(NULL), cause coredump
       free(pairs[i]); //free allocated memory within array
    }
  }

  free(pairs); //free array
}

Data Representations #

To end this lesson, I want to turn our attention to more pointer and memory issues relating to the underlying data representation. While we might not use this information a ton in the class, it is an integral part of C and how we understand data storage in memory. To start, we’ll review the arrays and pointer relationship again, followed by some more peculiar things we can do because of that relationship.

Pointers and Arrays are still the same! #

As have been noted a number of times now, arrays and pointers are actually the same, mostly. The only difference is that when you declare an array, e.g., int array[10], the variable array is declared static, as in it cannot change unlike a declared pointer, e.g., int * p. However, we have seen how we can use the pointer to act like an array, such as below:

int a[5] = {10,20,30,40,50}; //inex is value
int * p = a; // (1)
p[0] = 5; //(2)
printf("%d\n", a[0]); //prints 5 !!
      STACK (1)         |        STACK  (2)
      .----.----.       |       .----.----.   
      | a  |  .-+--.    |       | a  |  .-+--.
      |----|----|  |    |       |----|----|  |
a[0]  |    | 10 |<-.    | a[0]  |    | 5  |<-.
      |    |    |<-.    |       |    |    |<-.
      |----|----|  |    |       |----|----|  |
a[1]  |    | 20 |  |    | a[1]  |    | 20 |  |
      |----|----|  |    |       |----|----|  |
      :    :    :  |    |       :    :    :  |
      .    .    .  |    |       .    .    .  |
      :    :    :  |    |       :    :    :  |
      |----|----|  |    |       |----|----|  |
a[4]  |    | 50 |  |    | a[4]  |    | 50 |  |
      |----|----|  |    |       |----|----|  |
      | p  |  .-+--'    |       | p  |  .-+--'
      '----'----'       |       '----'----'

We also took it one step further to demonstrate how the indexing function, e.g., p[i], is really de-reference using pointer arithmetic, p[i] = *(p+i)

int a[5] = {10,20,30,40,50}; 
int * p = a; // (1)
*(p+1) = 5; //(2)
printf("%d\n", a[1]); //prints 5 !!

#+ENDHTML

      STACK (1)         |        STACK  (2)
      .----.----.       |       .----.----.   
      | a  |  .-+--.    |       | a  |  .-+--.
      |----|----|  |    |       |----|----|  |
a[0]  |    | 10 |<-.    | a[0]  |    | 10 |<-.
      |----|----|       |       |----|----|  |
a[1]  |    | 20 |<-.    | a[1]  |    | 5  |  | <- p+1
      |----|----|  |    |       |----|----|  |
      :    :    :  |    |       :    :    :  |
      .    .    .  |    |       .    .    .  |
      :    :    :  |    |       :    :    :  |
      |----|----|  |    |       |----|----|  |
a[4]  |    | 50 |  |    | a[4]  |    | 50 |  | 
      |----|----|  |    |       |----|----|  |
      | p  |  .-+--'    |       | p  |  .-+--'
      '----'----'       |       '----'----'

No surprises so far, but lets take a look a bit more at the pointer arithmetic and de-referencing. For one, an integer is 4 bytes in length, but when we add 1 to the pointer value of p we do not actually increase the pointer value by 1 but by 4 bytes to the start of the next integer. We can see this if we add the following line to the program:

printf("p: %p p+1: %p \n", p,p+1);
$ ./pointer_arithmetic 
5
p: 0x7fff585f5a10 p+1: 0x7fff585f5a14 

Note that the pointer values of p and p+1 is 4 bytes difference. This is what we want it do and not reference a byte within the integer, but we should also be asking ourselves, what if we do want to reference the byte within the integer? To do this, we can take advantage of a peculiarity of pointers in that they can be arbitrarily cast to other pointer types.

Pointer Casting to Access Individual Byes #

Pointers are weird. You’ve seen that already, but now we are going to take a few more steps down the rabbit hole. First consider the program below:

int main(int argc, char *argv[]){

  int a = 10;             //declare an integer
  char * p = (char *) &a; //save address of integer as char *

  int i;
  printf("0x");
  for(i=0;i<4;i++){
    printf("%02x",p[i]); //print the bytes of the integer in hex!
  }
  printf("\n");

}

The program assigns to p, a character pointer, the address of a, an integer. You should feel a bit dirty doing this. Having a char * reference an integer is wrong, right? It is wrong, but probably not for the reasons you think. It’s actually perfectly reasonable with respect to pointers. A pointer is just a memory address. The memory address of an int or a char is the same size, 8-bytes, so who cares what it is called.

The type of the pointer does impact how we interpret the data the memory address references. When we say &a we are providing a memory address that references data for an integer. If we interpret that memory address as a char * instead, then we can treat those 4 bytes of the integer as 4 bytes of a character array.

If you follow the program further, we can now go ahead an interpret the individual bytes of the integer and print them out. To do so, we used hexadecimal, which you should recall, two hex-digits can represent one byte. After running the program, we get the following: (Note, we write ‘0x’ as the leading part of hex digits to indicate that this is in hexadecimal.)

$ ./pointer_cast 
0x0a000000

Those are the bytes of the integer that stores 10. In hex, the hex-digit ‘a’ is ten, and we see a 0x0a in the output. However, it doesn’t seem to be in the right place. It is at the front instead of the end. Wouldn’t 0x00000000a make more sense? Sure, to us measly humans, but to computers, what does it matter if numbers are written forward and backward?

Byte Ordering #

Back in the day, there were two major architecture for data representation.: Big Endian and Little Endian. The difference is the order of the bytes in building larger data elements. All major architectures we will use (except for one later in the course) uses Little Endian. In Little Endian, the least significant bytes come before the more significant bytes, which is backward from how humans read numbers.

To see this in action, let’s do another example of pointer casting, this time with a larger integer value and one we can recognize more easily; my favorite number, 0xdeadbeef. Here’s a program to print the individual bytes of that number:

int main(int argc, char *argv[]){

  unsigned int a = 0xdeadbeef;    //hex number
  unsigned char * p = (unsigned char *) &a; 

  int i;
  printf("0x");
  for(i=0;i<4;i++){
    printf("%02x",p[i]);
  }
  printf("\n");

}

Now the output:

$ ./deadbeef 
0xefbeadde

All the bytes are there, just in the wrong order. This will become important later in the semester, but its useful to understand the underlying data model.