Why is the value of array name and its address same? [duplicate] - c++

In the following bit of code, pointer values and pointer addresses differ as expected.
But array values and addresses don't!
How can this be?
Output
my_array = 0022FF00
&my_array = 0022FF00
pointer_to_array = 0022FF00
&pointer_to_array = 0022FEFC
#include <stdio.h>
int main()
{
char my_array[100] = "some cool string";
printf("my_array = %p\n", my_array);
printf("&my_array = %p\n", &my_array);
char *pointer_to_array = my_array;
printf("pointer_to_array = %p\n", pointer_to_array);
printf("&pointer_to_array = %p\n", &pointer_to_array);
printf("Press ENTER to continue...\n");
getchar();
return 0;
}

The name of an array usually evaluates to the address of the first element of the array, so array and &array have the same value (but different types, so array+1 and &array+1 will not be equal if the array is more than 1 element long).
There are two exceptions to this: when the array name is an operand of sizeof or unary & (address-of), the name refers to the array object itself. Thus sizeof array gives you the size in bytes of the entire array, not the size of a pointer.
For an array defined as T array[size], it will have type T *. When/if you increment it, you get to the next element in the array.
&array evaluates to the same address, but given the same definition, it creates a pointer of the type T(*)[size] -- i.e., it's a pointer to an array, not to a single element. If you increment this pointer, it'll add the size of the entire array, not the size of a single element. For example, with code like this:
char array[16];
printf("%p\t%p", (void*)&array, (void*)(&array+1));
We can expect the second pointer to be 16 greater than the first (because it's an array of 16 char's). Since %p typically converts pointers in hexadecimal, it might look something like:
0x12341000 0x12341010

That's because the array name (my_array) is different from a pointer to array. It is an alias to the address of an array, and its address is defined as the address of the array itself.
The pointer is a normal C variable on the stack, however. Thus, you can take its address and get a different value from the address it holds inside.
I wrote about this topic here - please take a look.

In C, when you use the name of an array in an expression (including passing it to a function), unless it is the operand of the address-of (&) operator or the sizeof operator, it decays to a pointer to its first element.
That is, in most contexts array is equivalent to &array[0] in both type and value.
In your example, my_array has type char[100] which decays to a char* when you pass it to printf.
&my_array has type char (*)[100] (pointer to array of 100 char). As it is the operand to &, this is one of the cases that my_array doesn't immediately decay to a pointer to its first element.
The pointer to the array has the same address value as a pointer to the first element of the array as an array object is just a contiguous sequence of its elements, but a pointer to an array has a different type to a pointer to an element of that array. This is important when you do pointer arithmetic on the two types of pointer.
pointer_to_array has type char * - initialized to point at the first element of the array as that is what my_array decays to in the initializer expression - and &pointer_to_array has type char ** (pointer to a pointer to a char).
Of these: my_array (after decay to char*), &my_array and pointer_to_array all point directly at either the array or the first element of the array and so have the same address value.

The reason why my_array and &my_array result in the same address can be easily understood when you look at the memory layout of an array.
Let's say you have an array of 10 characters (instead the 100 in your code).
char my_array[10];
Memory for my_array looks something like:
+---+---+---+---+---+---+---+---+---+---+
| | | | | | | | | | |
+---+---+---+---+---+---+---+---+---+---+
^
|
Address of my_array.
In C/C++, an array decays to the pointer to the first element in an expression such as
printf("my_array = %p\n", my_array);
If you examine where the first element of the array lies you will see that its address is the same as the address of the array:
my_array[0]
|
v
+---+---+---+---+---+---+---+---+---+---+
| | | | | | | | | | |
+---+---+---+---+---+---+---+---+---+---+
^
|
Address of my_array[0].

In the B programming language, which was the immediate predecessor to C,
pointers and integers were freely interchangeable. The system would behave as
though all of memory was a giant array. Each variable name had either a global
or stack-relative address
associated with it, for each variable name the only things the compiler had to keep track of was whether it was a global or local variable, and its address relative to the first global or local variable.
Given a global declaration like i; [there was no need to specify a type, since everything was an integer/pointer] would be processed by the
compiler as: address_of_i = next_global++; memory[address_of_i] = 0; and a statement like i++ would be processed as: memory[address_of_i] = memory[address_of_i]+1;.
A declaration like arr[10]; would be processed as address_of_arr = next_global; memory[next_global] = next_global; next_global += 10;. Note that as soon as that declaration was processed, the compiler could immediately forget about arr being an array. A statement like arr[i]=6; would be processed as memory[memory[address_of_a] + memory[address_of_i]] = 6;. The compiler wouldn't care whether arr represented an array and i an integer, or vice versa. Indeed, it wouldn't care if they were both arrays or both integers; it would perfectly happily generate the code as described, without regard for whether the resulting behavior would likely be useful.
One of the goals of the C programming language was to be largely compatible with B. In B, the name of an array [called a "vector" in the terminology of B] identified a variable holding a pointer which was initially assigned to point to to the first element of an allocation of the given size, so if that name appeared in the argument list for a function, the function would receive a pointer to the vector. Even though C added "real" array types, whose name was rigidly associated with the address of the allocation rather than a pointer variable that would initially point to the allocation, having arrays decompose to pointers made code which declared a C-type array behave identically to B code which declared a vector and then never modified the variable holding its address.

Actually &myarray and myarray both are the base address.
If you want to see the difference instead of using
printf("my_array = %p\n", my_array);
printf("my_array = %p\n", &my_array);
use
printf("my_array = %s\n", my_array);
printf("my_array = %p\n", my_array);

Related

What is exactly a C array? [duplicate]

Is an array's name a pointer in C?
If not, what is the difference between an array's name and a pointer variable?
An array is an array and a pointer is a pointer, but in most cases array names are converted to pointers. A term often used is that they decay to pointers.
Here is an array:
int a[7];
a contains space for seven integers, and you can put a value in one of them with an assignment, like this:
a[3] = 9;
Here is a pointer:
int *p;
p doesn't contain any spaces for integers, but it can point to a space for an integer. We can, for example, set it to point to one of the places in the array a, such as the first one:
p = &a[0];
What can be confusing is that you can also write this:
p = a;
This does not copy the contents of the array a into the pointer p (whatever that would mean). Instead, the array name a is converted to a pointer to its first element. So that assignment does the same as the previous one.
Now you can use p in a similar way to an array:
p[3] = 17;
The reason that this works is that the array dereferencing operator in C, [ ], is defined in terms of pointers. x[y] means: start with the pointer x, step y elements forward after what the pointer points to, and then take whatever is there. Using pointer arithmetic syntax, x[y] can also be written as *(x+y).
For this to work with a normal array, such as our a, the name a in a[3] must first be converted to a pointer (to the first element in a). Then we step 3 elements forward, and take whatever is there. In other words: take the element at position 3 in the array. (Which is the fourth element in the array, since the first one is numbered 0.)
So, in summary, array names in a C program are (in most cases) converted to pointers. One exception is when we use the sizeof operator on an array. If a was converted to a pointer in this context, sizeof a would give the size of a pointer and not of the actual array, which would be rather useless, so in that case a means the array itself.
When an array is used as a value, its name represents the address of the first element.
When an array is not used as a value its name represents the whole array.
int arr[7];
/* arr used as value */
foo(arr);
int x = *(arr + 1); /* same as arr[1] */
/* arr not used as value */
size_t bytes = sizeof arr;
void *q = &arr; /* void pointers are compatible with pointers to any object */
If an expression of array type (such as the array name) appears in a larger expression and it isn't the operand of either the & or sizeof operators, then the type of the array expression is converted from "N-element array of T" to "pointer to T", and the value of the expression is the address of the first element in the array.
In short, the array name is not a pointer, but in most contexts it is treated as though it were a pointer.
Edit
Answering the question in the comment:
If I use sizeof, do i count the size of only the elements of the array? Then the array “head” also takes up space with the information about length and a pointer (and this means that it takes more space, than a normal pointer would)?
When you create an array, the only space that's allocated is the space for the elements themselves; no storage is materialized for a separate pointer or any metadata. Given
char a[10];
what you get in memory is
+---+
a: | | a[0]
+---+
| | a[1]
+---+
| | a[2]
+---+
...
+---+
| | a[9]
+---+
The expression a refers to the entire array, but there's no object a separate from the array elements themselves. Thus, sizeof a gives you the size (in bytes) of the entire array. The expression &a gives you the address of the array, which is the same as the address of the first element. The difference between &a and &a[0] is the type of the result1 - char (*)[10] in the first case and char * in the second.
Where things get weird is when you want to access individual elements - the expression a[i] is defined as the result of *(a + i) - given an address value a, offset i elements (not bytes) from that address and dereference the result.
The problem is that a isn't a pointer or an address - it's the entire array object. Thus, the rule in C that whenever the compiler sees an expression of array type (such as a, which has type char [10]) and that expression isn't the operand of the sizeof or unary & operators, the type of that expression is converted ("decays") to a pointer type (char *), and the value of the expression is the address of the first element of the array. Therefore, the expression a has the same type and value as the expression &a[0] (and by extension, the expression *a has the same type and value as the expression a[0]).
C was derived from an earlier language called B, and in B a was a separate pointer object from the array elements a[0], a[1], etc. Ritchie wanted to keep B's array semantics, but he didn't want to mess with storing the separate pointer object. So he got rid of it. Instead, the compiler will convert array expressions to pointer expressions during translation as necessary.
Remember that I said arrays don't store any metadata about their size. As soon as that array expression "decays" to a pointer, all you have is a pointer to a single element. That element may be the first of a sequence of elements, or it may be a single object. There's no way to know based on the pointer itself.
When you pass an array expression to a function, all the function receives is a pointer to the first element - it has no idea how big the array is (this is why the gets function was such a menace and was eventually removed from the library). For the function to know how many elements the array has, you must either use a sentinel value (such as the 0 terminator in C strings) or you must pass the number of elements as a separate parameter.
Which *may* affect how the address value is interpreted - depends on the machine.
An array declared like this
int a[10];
allocates memory for 10 ints. You can't modify a but you can do pointer arithmetic with a.
A pointer like this allocates memory for just the pointer p:
int *p;
It doesn't allocate any ints. You can modify it:
p = a;
and use array subscripts as you can with a:
p[2] = 5;
a[2] = 5; // same
*(p+2) = 5; // same effect
*(a+2) = 5; // same effect
The array name by itself yields a memory location, so you can treat the array name like a pointer:
int a[7];
a[0] = 1976;
a[1] = 1984;
printf("memory location of a: %p", a);
printf("value at memory location %p is %d", a, *a);
And other nifty stuff you can do to pointer (e.g. adding/substracting an offset), you can also do to an array:
printf("value at memory location %p is %d", a + 1, *(a + 1));
Language-wise, if C didn't expose the array as just some sort of "pointer"(pedantically it's just a memory location. It cannot point to arbitrary location in memory, nor can be controlled by the programmer). We always need to code this:
printf("value at memory location %p is %d", &a[1], a[1]);
I think this example sheds some light on the issue:
#include <stdio.h>
int main()
{
int a[3] = {9, 10, 11};
int **b = &a;
printf("a == &a: %d\n", a == b);
return 0;
}
It compiles fine (with 2 warnings) in gcc 4.9.2, and prints the following:
a == &a: 1
oops :-)
So, the conclusion is no, the array is not a pointer, it is not stored in memory (not even read-only one) as a pointer, even though it looks like it is, since you can obtain its address with the & operator. But - oops - that operator does not work :-)), either way, you've been warned:
p.c: In function ‘main’:
pp.c:6:12: warning: initialization from incompatible pointer type
int **b = &a;
^
p.c:8:28: warning: comparison of distinct pointer types lacks a cast
printf("a == &a: %d\n", a == b);
C++ refuses any such attempts with errors in compile-time.
Edit:
This is what I meant to demonstrate:
#include <stdio.h>
int main()
{
int a[3] = {9, 10, 11};
void *c = a;
void *b = &a;
void *d = &c;
printf("a == &a: %d\n", a == b);
printf("c == &c: %d\n", c == d);
return 0;
}
Even though c and a "point" to the same memory, you can obtain address of the c pointer, but you cannot obtain the address of the a pointer.
The following example provides a concrete difference between an array name and a pointer. Let say that you want to represent a 1D line with some given maximum dimension, you could do it either with an array or a pointer:
typedef struct {
int length;
int line_as_array[1000];
int* line_as_pointer;
} Line;
Now let's look at the behavior of the following code:
void do_something_with_line(Line line) {
line.line_as_pointer[0] = 0;
line.line_as_array[0] = 0;
}
void main() {
Line my_line;
my_line.length = 20;
my_line.line_as_pointer = (int*) calloc(my_line.length, sizeof(int));
my_line.line_as_pointer[0] = 10;
my_line.line_as_array[0] = 10;
do_something_with_line(my_line);
printf("%d %d\n", my_line.line_as_pointer[0], my_line.line_as_array[0]);
};
This code will output:
0 10
That is because in the function call to do_something_with_line the object was copied so:
The pointer line_as_pointer still contains the same address it was pointing to
The array line_as_array was copied to a new address which does not outlive the scope of the function
So while arrays are not given by values when you directly input them to functions, when you encapsulate them in structs they are given by value (i.e. copied) which outlines here a major difference in behavior compared to the implementation using pointers.
The array name behaves like a pointer and points to the first element of the array. Example:
int a[]={1,2,3};
printf("%p\n",a); //result is similar to 0x7fff6fe40bc0
printf("%p\n",&a[0]); //result is similar to 0x7fff6fe40bc0
Both the print statements will give exactly same output for a machine. In my system it gave:
0x7fff6fe40bc0

c++ pass array by value or pointer to function syntax

Could somebody explain the difference between these two function declarations below please? As far I know, aDecay() takes a pointer as an argument and if you have an integer int a[5] you can call aDecay(a) or aDecay(&a[0] because an array decays to a pointer.
Now if I want to call pDecay() I have to use pDecay(&a).
How does pDecay force you to use the &.
void aDecay(int *p)
void pDecay(int (*p)[7])
With plain a (or its equal &a[0]) you have a pointer to a single element in the array. A single element is of type int, so a pointer to it must be int*.
If you have a pointer to the actual array, like you get with &a, you no longer have a pointer to a single int element but to the whole array. The type of the array is int[5], and a pointer to it is int(*)[5].
Also note that in neither case you pass the array by value. You pass a pointer by value.
This is not a pointer to function syntax, it's a pointer to array syntax.
In the first example p is a pointer to an array of integers. p[i] is a single int. It cannot be indexed any further.
In the second example p is a pointer to an array of seven integer arrays. p[i] is an array which can be indexed further, i.e. p[i][0] is valid.
Here is an example of using the second approach:
void fill_data(int (*p)[7], size_t n) {
for (size_t i = 0 ; i != n ; i++) {
for (size_t j = 0 ; j != 7 ; j++) {
p[i][j] = (int)(7*i+j);
}
}
}
int main() {
int data[10][7];
fill_data(data, 10);
}
Demo
aDecay takes a pointer to an int.
An array of int can decay to a pointer to the array's first element.
pDecay takes a pointer to an array of seven ints.
An array does not implicitly convert into a pointer to itself.
Passing p will convert the array p to a pointer instead of keeping it as an array (this is called array decay, because the array decays to a pointer).
Passing &p will not convert p to a pointer, because it will convert the pointer to p to a generic pointer, which is not a big deal because it is actually a pointer.
Why we don't want to convert p to a pointer is because arrays are not just pointers. If you think that arrays are just pointers, try to compare sizeof(myArray) with sizeof(myPointer). An array embeds also its size, not only the pointer to the first element.
First of all, you have a misconception in the question: if a is an array, a is always a pointer to that array, i.e. you do pDecay(a) - NOT pDecay(&a). Now, [ ] is a dereferencing operation, so if you say a[5] - you dereference a pointer to a + 5 * bytes in memory occupied by the array's unit. Accordingly, a and &a[0] is exactly the same. a[5] and &(a + 5) is the same.
Answering your question, aDecay(int *p) takes a pointer to integer - nothing asks for an array here. int (*p)[7] is an array of 7 integers and compiler will check that's the case.
How does pDecay force you to use the &.
Because an array doesn't decay to just any pointer. It specifically decays to pointer to first element. The type of pointer to first element of an array of int (i.e. int[n]) is: pointer to int (i.e. int*).
The argument of pDecay is int (*p)[7] which is a pointer to an array of 7 int. An int* is not implicitly convertible to (int (*p)[7]; they are separate, incompatible types. Note that pDecay(&a) won't work either because the type of &a is (int (*p)[5] which is also a different type than (int (*p)[7].
pDecay doesn't force you to use & in general. You could pass an array of arrays, which would then decay to a pointer to first array, which is what pDecay accepts:
int arr[n][7];
pDecay(arr);
Could somebody explain the difference between these two function declarations below please?
int* is a pointer to an int object. int (*p)[7] is a pointer to an int[7] object i.e. an array of 7 int.

What's the difference between int** as a parameter and int** in main function? [duplicate]

Is an array's name a pointer in C?
If not, what is the difference between an array's name and a pointer variable?
An array is an array and a pointer is a pointer, but in most cases array names are converted to pointers. A term often used is that they decay to pointers.
Here is an array:
int a[7];
a contains space for seven integers, and you can put a value in one of them with an assignment, like this:
a[3] = 9;
Here is a pointer:
int *p;
p doesn't contain any spaces for integers, but it can point to a space for an integer. We can, for example, set it to point to one of the places in the array a, such as the first one:
p = &a[0];
What can be confusing is that you can also write this:
p = a;
This does not copy the contents of the array a into the pointer p (whatever that would mean). Instead, the array name a is converted to a pointer to its first element. So that assignment does the same as the previous one.
Now you can use p in a similar way to an array:
p[3] = 17;
The reason that this works is that the array dereferencing operator in C, [ ], is defined in terms of pointers. x[y] means: start with the pointer x, step y elements forward after what the pointer points to, and then take whatever is there. Using pointer arithmetic syntax, x[y] can also be written as *(x+y).
For this to work with a normal array, such as our a, the name a in a[3] must first be converted to a pointer (to the first element in a). Then we step 3 elements forward, and take whatever is there. In other words: take the element at position 3 in the array. (Which is the fourth element in the array, since the first one is numbered 0.)
So, in summary, array names in a C program are (in most cases) converted to pointers. One exception is when we use the sizeof operator on an array. If a was converted to a pointer in this context, sizeof a would give the size of a pointer and not of the actual array, which would be rather useless, so in that case a means the array itself.
When an array is used as a value, its name represents the address of the first element.
When an array is not used as a value its name represents the whole array.
int arr[7];
/* arr used as value */
foo(arr);
int x = *(arr + 1); /* same as arr[1] */
/* arr not used as value */
size_t bytes = sizeof arr;
void *q = &arr; /* void pointers are compatible with pointers to any object */
If an expression of array type (such as the array name) appears in a larger expression and it isn't the operand of either the & or sizeof operators, then the type of the array expression is converted from "N-element array of T" to "pointer to T", and the value of the expression is the address of the first element in the array.
In short, the array name is not a pointer, but in most contexts it is treated as though it were a pointer.
Edit
Answering the question in the comment:
If I use sizeof, do i count the size of only the elements of the array? Then the array “head” also takes up space with the information about length and a pointer (and this means that it takes more space, than a normal pointer would)?
When you create an array, the only space that's allocated is the space for the elements themselves; no storage is materialized for a separate pointer or any metadata. Given
char a[10];
what you get in memory is
+---+
a: | | a[0]
+---+
| | a[1]
+---+
| | a[2]
+---+
...
+---+
| | a[9]
+---+
The expression a refers to the entire array, but there's no object a separate from the array elements themselves. Thus, sizeof a gives you the size (in bytes) of the entire array. The expression &a gives you the address of the array, which is the same as the address of the first element. The difference between &a and &a[0] is the type of the result1 - char (*)[10] in the first case and char * in the second.
Where things get weird is when you want to access individual elements - the expression a[i] is defined as the result of *(a + i) - given an address value a, offset i elements (not bytes) from that address and dereference the result.
The problem is that a isn't a pointer or an address - it's the entire array object. Thus, the rule in C that whenever the compiler sees an expression of array type (such as a, which has type char [10]) and that expression isn't the operand of the sizeof or unary & operators, the type of that expression is converted ("decays") to a pointer type (char *), and the value of the expression is the address of the first element of the array. Therefore, the expression a has the same type and value as the expression &a[0] (and by extension, the expression *a has the same type and value as the expression a[0]).
C was derived from an earlier language called B, and in B a was a separate pointer object from the array elements a[0], a[1], etc. Ritchie wanted to keep B's array semantics, but he didn't want to mess with storing the separate pointer object. So he got rid of it. Instead, the compiler will convert array expressions to pointer expressions during translation as necessary.
Remember that I said arrays don't store any metadata about their size. As soon as that array expression "decays" to a pointer, all you have is a pointer to a single element. That element may be the first of a sequence of elements, or it may be a single object. There's no way to know based on the pointer itself.
When you pass an array expression to a function, all the function receives is a pointer to the first element - it has no idea how big the array is (this is why the gets function was such a menace and was eventually removed from the library). For the function to know how many elements the array has, you must either use a sentinel value (such as the 0 terminator in C strings) or you must pass the number of elements as a separate parameter.
Which *may* affect how the address value is interpreted - depends on the machine.
An array declared like this
int a[10];
allocates memory for 10 ints. You can't modify a but you can do pointer arithmetic with a.
A pointer like this allocates memory for just the pointer p:
int *p;
It doesn't allocate any ints. You can modify it:
p = a;
and use array subscripts as you can with a:
p[2] = 5;
a[2] = 5; // same
*(p+2) = 5; // same effect
*(a+2) = 5; // same effect
The array name by itself yields a memory location, so you can treat the array name like a pointer:
int a[7];
a[0] = 1976;
a[1] = 1984;
printf("memory location of a: %p", a);
printf("value at memory location %p is %d", a, *a);
And other nifty stuff you can do to pointer (e.g. adding/substracting an offset), you can also do to an array:
printf("value at memory location %p is %d", a + 1, *(a + 1));
Language-wise, if C didn't expose the array as just some sort of "pointer"(pedantically it's just a memory location. It cannot point to arbitrary location in memory, nor can be controlled by the programmer). We always need to code this:
printf("value at memory location %p is %d", &a[1], a[1]);
I think this example sheds some light on the issue:
#include <stdio.h>
int main()
{
int a[3] = {9, 10, 11};
int **b = &a;
printf("a == &a: %d\n", a == b);
return 0;
}
It compiles fine (with 2 warnings) in gcc 4.9.2, and prints the following:
a == &a: 1
oops :-)
So, the conclusion is no, the array is not a pointer, it is not stored in memory (not even read-only one) as a pointer, even though it looks like it is, since you can obtain its address with the & operator. But - oops - that operator does not work :-)), either way, you've been warned:
p.c: In function ‘main’:
pp.c:6:12: warning: initialization from incompatible pointer type
int **b = &a;
^
p.c:8:28: warning: comparison of distinct pointer types lacks a cast
printf("a == &a: %d\n", a == b);
C++ refuses any such attempts with errors in compile-time.
Edit:
This is what I meant to demonstrate:
#include <stdio.h>
int main()
{
int a[3] = {9, 10, 11};
void *c = a;
void *b = &a;
void *d = &c;
printf("a == &a: %d\n", a == b);
printf("c == &c: %d\n", c == d);
return 0;
}
Even though c and a "point" to the same memory, you can obtain address of the c pointer, but you cannot obtain the address of the a pointer.
The following example provides a concrete difference between an array name and a pointer. Let say that you want to represent a 1D line with some given maximum dimension, you could do it either with an array or a pointer:
typedef struct {
int length;
int line_as_array[1000];
int* line_as_pointer;
} Line;
Now let's look at the behavior of the following code:
void do_something_with_line(Line line) {
line.line_as_pointer[0] = 0;
line.line_as_array[0] = 0;
}
void main() {
Line my_line;
my_line.length = 20;
my_line.line_as_pointer = (int*) calloc(my_line.length, sizeof(int));
my_line.line_as_pointer[0] = 10;
my_line.line_as_array[0] = 10;
do_something_with_line(my_line);
printf("%d %d\n", my_line.line_as_pointer[0], my_line.line_as_array[0]);
};
This code will output:
0 10
That is because in the function call to do_something_with_line the object was copied so:
The pointer line_as_pointer still contains the same address it was pointing to
The array line_as_array was copied to a new address which does not outlive the scope of the function
So while arrays are not given by values when you directly input them to functions, when you encapsulate them in structs they are given by value (i.e. copied) which outlines here a major difference in behavior compared to the implementation using pointers.
The array name behaves like a pointer and points to the first element of the array. Example:
int a[]={1,2,3};
printf("%p\n",a); //result is similar to 0x7fff6fe40bc0
printf("%p\n",&a[0]); //result is similar to 0x7fff6fe40bc0
Both the print statements will give exactly same output for a machine. In my system it gave:
0x7fff6fe40bc0

difference between pointer to an array and pointer to the first element of an array

int (*arr)[5] means arr is a pointer-to-an-array of 5 integers. Now what exactly is this pointer?
Is it the same if I declare int arr[5] where arr is the pointer to the first element?
Is arr from both the examples are the same? If not, then what exactly is a pointer-to-an-array?
Theory
First off some theory (you can skip to the "Answers" section but I suggest you to read this as well):
int arr[5]
this is an array and "arr" is not the pointer to the first element of the array. Under specific circumstances (i.e. passing them as lvalues to a function) they decay into pointers: you lose the ability of calling sizeof on them.
Under normal circumstances an array is an array and a pointer is a pointer and they're two totally different things.
When dealing with a decayed pointer and the pointer to the array you wrote, they behave exactly the same but there's a caveat: an array of type T can decay into a pointer of type T, but only once (or one level-deep). The newly created decayed type cannot further decay into anything else.
This means that a bidimensional array like
int array1[2][2] = {{0, 1}, {2, 3}};
can't be passed to
void function1(int **a);
because it would imply a two-levels decaying and that's not allowed (you lose how elements of the array are laid out). The followings would instead work:
void function1(int a[][2]);
void function1(int a[2][2]);
In the case of a 1-dimensional array passed as lvalue to a function you can have it decayed into a simple pointer and in that case you can use it as you would with any other pointer.
Answers
Answering your questions:
int (*arr)[5]
this is a pointer to an array and you can think of the "being an array of 5 integers" as being its type, i.e. you can't use it to point to an array of 3 integers.
int arr[5]
this is an array and will always behave as an array except when you pass it as an lvalue
int* ptrToArr = arr;
in that case the array decays (with all the exceptions above I cited) and you get a pointer and you can use it as you want.
And: no, they're not equal otherwise something like this would be allowed
int (*arr)[5]
int* ptrToArr = arr; // NOT ALLOWED
Error cannot convert ‘int (*)[5]’ to ‘int*’ in initialization
they're both pointers but the difference is in their type.
At runtime, a pointer is a "just a pointer" regardless of what it points to, the difference is a semantic one; pointer-to-array conveys a different meaning (to the compiler) compared with pointer-to-element
When dealing with a pointer-to-array, you are pointing to an array of a specified size - and the compiler will ensure that you can only point-to an array of that size.
i.e. this code will compile
int theArray[5];
int (*ptrToArray)[5];
ptrToArray = &theArray; // OK
but this will break:
int anotherArray[10];
int (*ptrToArray)[5];
ptrToArray = &anotherArray; // ERROR!
When dealing with a pointer-to-element, you may point to any object in memory with a matching type. (It doesn't necessarily even need to be in an array; the compiler will not make any assumptions or restrict you in any way)
i.e.
int theArray[5];
int* ptrToElement = &theArray[0]; // OK - Pointer-to element 0
and..
int anotherArray[10];
int* ptrToElement = &anotherArray[0]; // Also OK!
In summary, the data type int* does not imply any knowledge of an array, however the data type int (*)[5] implies an array, which must contain exactly 5 elements.
A pointer to an array is a pointer to an array of a certain type. The type includes the type of the elements, as well as the size. You cannot assign an array of a different type to it:
int (*arr)[5];
int a[5];
arr = &a; // OK
int b[42];
arr = &b; // ERROR: b is not of type int[5].
A pointer to the first element of an array can point to the beginning of any array with the right type of element (in fact, it can point to any element in the array):
int* arr;
int a[5];
arr = &a[0]; // OK
int b[42];
arr = &b[0]; // OK
arr = &b[9]; // OK
Note that in C and C++, arrays decay to pointers to the type of their elements in certain contexts. This is why it is possible to do this:
int* arr;
int a[5];
arr = a; // OK, a decays to int*, points to &a[0]
Here, the type of arr (int*) is not the same as that of a (int[5]), but a decays to an int* pointing to its first element, making the assignment legal.
Pointer to array and pointer to first element of array both are different. In case of int (*arr)[5], arr is pointer to chunk of memory of 5 int. Dereferencing arr will give the entire row. In case of int arr[5], arr decays to pointer to first element. Dereferencing arr will give the first element.
In both cases starting address is same but both the pointers are of different type.
Is it the same if i declare int arr[5] where arr is the pointer to the first element? is arr from both example are same? if not, then what exactly is a pointer to an array?
No. To understand this see the diagram for the function1:
void f(void) {
int matrix[4][2] = { {0,1}, {2,3}, {4,5}, {6,7} };
char s[] = "abc";
int i = 123;
int *p1 = &matrix[0][0];
int (*p2)[2] = &matrix[0];
int (*p3)[4][2] = &matrix;
/* code goes here */
}
All three pointers certainly allow you to locate the 0 in matrix[0][0], and if you convert these pointers to ‘byte addresses’ and print them out with a %p directive in printf(), all three are quite likely to produce the same output (on a typical modern computer). But the int * pointer, p1, points only to a single int, as circled in black. The red pointer, p2, whose type is int (*)[2], points to two ints, and the blue pointer -- the one that points to the entire matrix -- really does point to the entire matrix.
These differences affect the results of both pointer arithmetic and the unary * (indirection) operator. Since p1 points to a single int, p1 + 1 moves forward by a single int. The black circle1 is only as big as one int, and *(p1 + 1) is just the next int, whose value is 1. Likewise, sizeof *p1 is just sizeof(int) (probably 4).
Since p2 points to an entire ‘array 2 of int’, however, p2 + 1 will move forward by one such array. The result would be a pointer pointing to a red circle going around the {2,3} pair. Since the result of an indirection operator is an object, *(p2 + 1) is that entire array object, which may fall under The Rule. If it does fall under The Rule, the object will become instead a pointer to its first element, i.e., the int currently holding 2. If it does not fall under The Rule -- for instance, in sizeof *(p2 + 1), which puts the object in object context -- it will remain the entire array object. This means that sizeof *(p2 + 1) (and sizeof *p2 as well, of course) is sizeof(int[2]) (probably 8).
1 Above content has been taken from More Words about Arrays and Pointers.
The address of the whole array, and the address of the first element, are defined to be the same, since arrays in C++ (and C) have no intrinsic padding besides that of the constituent objects.
However, the types of these pointers are different. Until you perform some kind of typecast, comparing an int * to an int (*)[5] is apples to oranges.
If you declare arr[5], then arr is not a pointer to the first element. It is the array object. You can observe this as sizeof( arr ) will be equal to 5 * sizeof (int). An array object implicitly converts to a pointer to its first element.
A pointer to an array does not implicitly convert to anything, which may be the other cause of your confusion.
If you write int arr[5], you are creating an array of five int on the stack. This takes up size equal to the size of five ints.
If you write int (*arr)[5], you are creating a pointer to an array of five int on the stack. This takes up size equal to the size of a pointer.
If it is not clear from the above, the pointer has separate storage from the array, and can point at anything, but the array name cannot be assigned to point at something else.
See my answer here for more details.

ELI5: What is the data type of `int *p[]`

I don't understand what the datatype of this is. If its a pointer or an array. Please explain in simple terms. To quote what was in the book-
If you want to pass an array of pointers into a function, you can use the same method that you use to pass other arrays—simply call the function with the array name without any indexes. For example, a function that can receive array x looks like this:
void display_array(int *q[])
{
int t;
for(t=0; t<10; t++)
printf("%d ", *q[t]);
}
Remember, q is not a pointer to integers, but rather a pointer to an array of pointers to
integers. Therefore you need to declare the parameter q as an array of integer pointers,
as just shown. You cannot declare q simply as an integer pointer because that is not
what it is.
cite: C++: The Complete Reference, 4th Edition by Herbert Schildt, Page 122-123
This is how it's built up:
int is the type "int".
int* is the type "pointer to int"
int* [] is the type "array (of unknown bound/length) of pointer to int"
int* p[] is the declaration of a variable or parameter named p of the type above.
... pointer to an array of pointers to integers
No it's not. q is the type int *[]. Which is an invalid (or possibly incomplete, depending on context) type in C++, and only valid in some places in C. Arrays must have a size.
The type int *[] is an (unsized) array of pointers to int. It is itself not a pointer.
The confusion probably comes from the fact that an array can decay to a pointer to its first element.
For example, lets say we have this array:
int a[20];
When plain a is used, it decays to a pointer to its first element: a is equal to &a[0].
int *p[]
// ^
p is
int *p[]
// ^^
p is an array of unspecified size (possibly illegal, depends on context)
int *p[]
// ^^^^^
p is an array of unspecified size of pointers to int
Meaning each element of p is a pointer:
int foobar = 42;
p[0] = NULL;
p[1] = &foobar;
I don't understand what the datatype of this is
If it's any comfort, neither does the author of the book you are reading.
Remember, q is not a pointer to integers, but rather a pointer to an array of pointers to integers.
This is bullschildt.
Before adjustment of parameters, q is an array of pointers to integers.
After adjustment of parameters, q is a pointer to the first element of an array of pointers to integers. Equivalent to int** q, a pointer to pointer to an int.
Nowhere is it "a pointer to an array of pointers to integers". That would have been int* (*q)[].
I would advise to stop reading that book.
The key here is that any array that is part of a parameter list of a function, gets adjusted ("decays") into a pointer to the first element. So it doesn't matter if you type int* q[666] or int* q[], either will be silently replaced by the compiler with int** "behind the lines".
This is actually the reason why we can write [] in a parameter list - normally an empty array would be an incomplete type that can't be used before completion elsewhere. But since parameters always get adjusted, they are never of array type, and it doesn't matter that the original type was incomplete.