What is the value about these arrays in c? - c

#include<stdio.h>
#include<stdlib.h>
int main(){
int myChr[4][8];
printf("%x\n",myChr);
printf("%x\n",&myChr);
printf("%x\n",*myChr);
return 0;
}
After executing the above program, I get the same address as output. Do they own different value or all of them have same value? How to prove that? (*Maybe need to assume values to array, I don't know)

myChr is the address on the stack of your array.
&mychr, in this case, is probably going to give you the same value as it is the address of the pointer on the stack.
*myChr is the address of 1st entry of myChr[4][8] entry, which in the case is still the original address.
**myChar would give you the value of myChr[0][0] - in this case garbage as you have not actually assigned anything to your array.

myChar is a int [4][8].
In the printf expression:
myChar is of type int (*)[8] (after application of C array to pointer conversion rule from int [4][8])
&myChar is of type int (*) [4][8]
*myChar is of type int * (after application of C array to pointer conversion rule from int [4])
All the expressions have different types but they point to the same memory address, that is:
(void *) myChar == (void *) &myChar == (void *) *myChar
Note that the valid way to print a pointer value is to use p conversion specifier and cast the pointer to void * if it is of a different type.

Arrays are simply named extents of memory. So the address of an array is the address of the extent it occupies. At the same time it is the address of the first element of the array because it occupies the initial part of the extent.
Thus you have:
this statement
printf("%x\n",myChr);
displays the address of the first element of the array because array name is implicitly converted to pointer to its first element;
this statement
printf("%x\n",&myChr);
displays the address of the array that is the same address as above because it is the address of the allocated extent;
this statement
printf("%x\n",*myChr);
displays the same address. Why? As I have already said the name of the array is implicitly converted to pointer to its first element. The element of the array is in turn a one-dimensional array. So in expression this one-dimensional array *myChr (the first element of the original two-dimensional array) in turn is converted to pointer to its first element.
So in all three cases you display this address :)
&myChr[0][0]

Related

Difference between &ar[0][0] and ar [duplicate]

I am having a tough time understanding the type and use of the name of the array in C. It might seems a long post but please bear with me.
I understand that the following statement declares a to be of type int [] i.e array of integers.
int a[30];
While a also points the first element of array and things like *(a+2) are valid. Thus, making a look like a pointer to an integer. But actually the types int [] and int* are different; while the former is an array type and later is a pointer to an integer.
Also a variable of type int [] gets converted into a variable of type int* when passing it to functions; as in C arrays are passed by reference (with the exception of the sizeof operator).
Here comes the point which makes me dangle. Have a look at the following piece of code:
int main()
{
int (*p)[3];
int a[3] = { 5, 4, 6 };
p = &a;
printf("a:%d\t&a:%d\n",a,&a);
printf("%d",*(*p + 2));
}
OUTPUT:
a:2686720 &a:2686720
6
So, how does the above code work? I have two questions:
a and &a have the same values. Why?
What exactly does int (*p)[3]; do? It declares a pointer to an array, I know this. But how is a pointer to an array different from the pointer to the first element of the array and name of the array?
Can anyone clarify things up? I am having a hell of a lot of confusions.
I know that I should use %p as a placeholder instead of using %d for printing the value of pointer variables. As using the integer placeholder might print truncated addresses. But I just want to keep things simple.
Other answers already explained the issue. I am trying to explain it with some diagram. Hope this will help.
When you declare an array
int a[3] = {5, 4, 6}
the memory arrangement looks like
Now answering your question:
a and &a have the same values.How?
As you already know that a is of array type and array name a becomes a pointer to first element of array a (after decay),i.e it points to the address 0x100. Note that 0x100 also is the starting address of the memory block (array a). And you should know that, in general, the address of the first byte is said to be the address of the variable. That is, if a variable is of 100 bytes, then its address is equal to the address of its first byte.
&a is address of the entire memory block, i.e it is an address of array a. See the diagram:
Now you can understand why a and &a both have same address value although both are of different type.
What exactly it does int (*p)[3]; Declares a pointer to an array,i know this.But,how a pointer to an array is different from the pointer to the first element of the array and name of the array?
See the above figure, it is explained clearly how pointer to an array is different from the pointer to an array element.
When you assign &a to p, then p points to the entire array having starting address 0x100.
NOTE: Regarding to the line
... as in C arrays are passed by references (with exception of sizeof function).
In C, arguments are passed by value. No pass by reference in C. When an ordinary variable is passed to a function, its value is copied; any changes to corresponding parameter do not affect the variable.
Arrays are also passed by value, but difference is that the array name decays to pointer to first element and this pointer assigned to the parameter (here, pointer value is copied) of the function; the array itself isn't copied.
In contrast to ordinary variable, an array used as an argument is not protected against any change, since no copy is made of the array itself, instead copy of pointer to first element is made.
You should also note that sizeof is not a function and array name does not act as an argument in this case. sizeof is an operator and array name serves as an operand. Same holds true when array name is an operand of the unary & operator.
a and &a have the same values.How?
They have the same value but different types. Array objects have no padding between elements (before or after) so the address of the array and the address of the first element of the array are the same.
That is:
(void *) a == (void *) &a
What exactly it does int (*p)[3]; Declares a pointer to an array,i know this.But,how a pointer to an array is different from the pointer to the first element of the array and name of the array?
These are two different pointer types. Take for example, pointer arithmetic:
a + 1 /* address of the second element of the array */
&a + 1 /* address one past the last element of the array */
EDIT: due to popular demand I added below some information about conversion of arrays.
With three exceptions, in an expression an object of type array of T is converted to a value of type pointer to T pointing to the first element of the array. The exceptions are if the object is the operand of sizeof or & unary operator or if the object is a string literal initializing an array.
For example this statement:
printf("a:%d\t&a:%d\n", a, &a);
is actually equivalent to:
printf("a:%d\t&a:%d\n", &a[0], &a);
Also please note that d conversion specifier can only be use to print a signed integer; to print a pointer value you have to use p specifier (and the argument must be void *). So to do things correctly use:
printf("a:%p\t&a:%p\n", (void *) a, (void *) &a);
respectively:
printf("a:%p\t&a:%p\n", (void *) &a[0], (void *) &a);
a corresponds to the pointer pointing at 0th element of the array. Whereas,the same is the case with &a.It just gives the starting address of the array.
As,a --> pointer pointing to starting element of array a[],it does not know about other element's location..
&a --->address location for storing array a[] which stores first element location,but knows every element's location.
Similarly,other elements location will be (a+2),(a+4) and so upto the end of the array.
Hence,you got such result.
int (*p)[3] is a pointer to the array. had it been int *p[3],it would been meant entirely different. It'd have meant an array of pointers which would have been totally different from this context.
Pointer to an array will automatically take care of all the other
elements in the array.In this case,your's is (p);
Whereas,the pointer to the first element of the array,i.e., a will
only know about first element of the array.You'll have to manually
give pointer arithmetic directions to access next elements.See,in this
case---we can get second element from a by adding 2 to a,i.e.
a+2,third element by adding 4 to a,i.e., a+4 and so on. // mind the
difference of two as it is an integer array!
In answer to question 1, this is simply an aspect of the C language as designed, unlike most other modern languages C/C++ allows direct manipulation of addresses in memory and has built in facilities to 'understand' that. There are many articles online that explain this better than I could in this small space. Here is one and I am sure there are many others: http://www.cprogramming.com/tutorial/c/lesson8.html
From C99 Standard n1124 6.3.2.1 p3
Except when it is the operand of the sizeof operator or the unary &
operator, or is a string literal used to initialize an array, an
expression that has type ‘‘array of type’’ is converted to an
expression with type ‘‘pointer to type’’ that points to the initial
element of the array object and is not an lvalue. If the array object
has register storage class, the behavior is undefined.
a and &a have the same value because a long time ago you were required to use the address operator & on arrays to get the array's address, but it is no longer necessary. The name of the array (a in this case) these days just represents the memory address of the array itself, which is also what you get from &a. It's a shorthand that the compiler handles for you.

Can a dereferenced pointer point to the same address as the pointer itself? [duplicate]

I am having a tough time understanding the type and use of the name of the array in C. It might seems a long post but please bear with me.
I understand that the following statement declares a to be of type int [] i.e array of integers.
int a[30];
While a also points the first element of array and things like *(a+2) are valid. Thus, making a look like a pointer to an integer. But actually the types int [] and int* are different; while the former is an array type and later is a pointer to an integer.
Also a variable of type int [] gets converted into a variable of type int* when passing it to functions; as in C arrays are passed by reference (with the exception of the sizeof operator).
Here comes the point which makes me dangle. Have a look at the following piece of code:
int main()
{
int (*p)[3];
int a[3] = { 5, 4, 6 };
p = &a;
printf("a:%d\t&a:%d\n",a,&a);
printf("%d",*(*p + 2));
}
OUTPUT:
a:2686720 &a:2686720
6
So, how does the above code work? I have two questions:
a and &a have the same values. Why?
What exactly does int (*p)[3]; do? It declares a pointer to an array, I know this. But how is a pointer to an array different from the pointer to the first element of the array and name of the array?
Can anyone clarify things up? I am having a hell of a lot of confusions.
I know that I should use %p as a placeholder instead of using %d for printing the value of pointer variables. As using the integer placeholder might print truncated addresses. But I just want to keep things simple.
Other answers already explained the issue. I am trying to explain it with some diagram. Hope this will help.
When you declare an array
int a[3] = {5, 4, 6}
the memory arrangement looks like
Now answering your question:
a and &a have the same values.How?
As you already know that a is of array type and array name a becomes a pointer to first element of array a (after decay),i.e it points to the address 0x100. Note that 0x100 also is the starting address of the memory block (array a). And you should know that, in general, the address of the first byte is said to be the address of the variable. That is, if a variable is of 100 bytes, then its address is equal to the address of its first byte.
&a is address of the entire memory block, i.e it is an address of array a. See the diagram:
Now you can understand why a and &a both have same address value although both are of different type.
What exactly it does int (*p)[3]; Declares a pointer to an array,i know this.But,how a pointer to an array is different from the pointer to the first element of the array and name of the array?
See the above figure, it is explained clearly how pointer to an array is different from the pointer to an array element.
When you assign &a to p, then p points to the entire array having starting address 0x100.
NOTE: Regarding to the line
... as in C arrays are passed by references (with exception of sizeof function).
In C, arguments are passed by value. No pass by reference in C. When an ordinary variable is passed to a function, its value is copied; any changes to corresponding parameter do not affect the variable.
Arrays are also passed by value, but difference is that the array name decays to pointer to first element and this pointer assigned to the parameter (here, pointer value is copied) of the function; the array itself isn't copied.
In contrast to ordinary variable, an array used as an argument is not protected against any change, since no copy is made of the array itself, instead copy of pointer to first element is made.
You should also note that sizeof is not a function and array name does not act as an argument in this case. sizeof is an operator and array name serves as an operand. Same holds true when array name is an operand of the unary & operator.
a and &a have the same values.How?
They have the same value but different types. Array objects have no padding between elements (before or after) so the address of the array and the address of the first element of the array are the same.
That is:
(void *) a == (void *) &a
What exactly it does int (*p)[3]; Declares a pointer to an array,i know this.But,how a pointer to an array is different from the pointer to the first element of the array and name of the array?
These are two different pointer types. Take for example, pointer arithmetic:
a + 1 /* address of the second element of the array */
&a + 1 /* address one past the last element of the array */
EDIT: due to popular demand I added below some information about conversion of arrays.
With three exceptions, in an expression an object of type array of T is converted to a value of type pointer to T pointing to the first element of the array. The exceptions are if the object is the operand of sizeof or & unary operator or if the object is a string literal initializing an array.
For example this statement:
printf("a:%d\t&a:%d\n", a, &a);
is actually equivalent to:
printf("a:%d\t&a:%d\n", &a[0], &a);
Also please note that d conversion specifier can only be use to print a signed integer; to print a pointer value you have to use p specifier (and the argument must be void *). So to do things correctly use:
printf("a:%p\t&a:%p\n", (void *) a, (void *) &a);
respectively:
printf("a:%p\t&a:%p\n", (void *) &a[0], (void *) &a);
a corresponds to the pointer pointing at 0th element of the array. Whereas,the same is the case with &a.It just gives the starting address of the array.
As,a --> pointer pointing to starting element of array a[],it does not know about other element's location..
&a --->address location for storing array a[] which stores first element location,but knows every element's location.
Similarly,other elements location will be (a+2),(a+4) and so upto the end of the array.
Hence,you got such result.
int (*p)[3] is a pointer to the array. had it been int *p[3],it would been meant entirely different. It'd have meant an array of pointers which would have been totally different from this context.
Pointer to an array will automatically take care of all the other
elements in the array.In this case,your's is (p);
Whereas,the pointer to the first element of the array,i.e., a will
only know about first element of the array.You'll have to manually
give pointer arithmetic directions to access next elements.See,in this
case---we can get second element from a by adding 2 to a,i.e.
a+2,third element by adding 4 to a,i.e., a+4 and so on. // mind the
difference of two as it is an integer array!
In answer to question 1, this is simply an aspect of the C language as designed, unlike most other modern languages C/C++ allows direct manipulation of addresses in memory and has built in facilities to 'understand' that. There are many articles online that explain this better than I could in this small space. Here is one and I am sure there are many others: http://www.cprogramming.com/tutorial/c/lesson8.html
From C99 Standard n1124 6.3.2.1 p3
Except when it is the operand of the sizeof operator or the unary &
operator, or is a string literal used to initialize an array, an
expression that has type ‘‘array of type’’ is converted to an
expression with type ‘‘pointer to type’’ that points to the initial
element of the array object and is not an lvalue. If the array object
has register storage class, the behavior is undefined.
a and &a have the same value because a long time ago you were required to use the address operator & on arrays to get the array's address, but it is no longer necessary. The name of the array (a in this case) these days just represents the memory address of the array itself, which is also what you get from &a. It's a shorthand that the compiler handles for you.

Pointer and array 'a' and '&a' giving same output? [duplicate]

I am having a tough time understanding the type and use of the name of the array in C. It might seems a long post but please bear with me.
I understand that the following statement declares a to be of type int [] i.e array of integers.
int a[30];
While a also points the first element of array and things like *(a+2) are valid. Thus, making a look like a pointer to an integer. But actually the types int [] and int* are different; while the former is an array type and later is a pointer to an integer.
Also a variable of type int [] gets converted into a variable of type int* when passing it to functions; as in C arrays are passed by reference (with the exception of the sizeof operator).
Here comes the point which makes me dangle. Have a look at the following piece of code:
int main()
{
int (*p)[3];
int a[3] = { 5, 4, 6 };
p = &a;
printf("a:%d\t&a:%d\n",a,&a);
printf("%d",*(*p + 2));
}
OUTPUT:
a:2686720 &a:2686720
6
So, how does the above code work? I have two questions:
a and &a have the same values. Why?
What exactly does int (*p)[3]; do? It declares a pointer to an array, I know this. But how is a pointer to an array different from the pointer to the first element of the array and name of the array?
Can anyone clarify things up? I am having a hell of a lot of confusions.
I know that I should use %p as a placeholder instead of using %d for printing the value of pointer variables. As using the integer placeholder might print truncated addresses. But I just want to keep things simple.
Other answers already explained the issue. I am trying to explain it with some diagram. Hope this will help.
When you declare an array
int a[3] = {5, 4, 6}
the memory arrangement looks like
Now answering your question:
a and &a have the same values.How?
As you already know that a is of array type and array name a becomes a pointer to first element of array a (after decay),i.e it points to the address 0x100. Note that 0x100 also is the starting address of the memory block (array a). And you should know that, in general, the address of the first byte is said to be the address of the variable. That is, if a variable is of 100 bytes, then its address is equal to the address of its first byte.
&a is address of the entire memory block, i.e it is an address of array a. See the diagram:
Now you can understand why a and &a both have same address value although both are of different type.
What exactly it does int (*p)[3]; Declares a pointer to an array,i know this.But,how a pointer to an array is different from the pointer to the first element of the array and name of the array?
See the above figure, it is explained clearly how pointer to an array is different from the pointer to an array element.
When you assign &a to p, then p points to the entire array having starting address 0x100.
NOTE: Regarding to the line
... as in C arrays are passed by references (with exception of sizeof function).
In C, arguments are passed by value. No pass by reference in C. When an ordinary variable is passed to a function, its value is copied; any changes to corresponding parameter do not affect the variable.
Arrays are also passed by value, but difference is that the array name decays to pointer to first element and this pointer assigned to the parameter (here, pointer value is copied) of the function; the array itself isn't copied.
In contrast to ordinary variable, an array used as an argument is not protected against any change, since no copy is made of the array itself, instead copy of pointer to first element is made.
You should also note that sizeof is not a function and array name does not act as an argument in this case. sizeof is an operator and array name serves as an operand. Same holds true when array name is an operand of the unary & operator.
a and &a have the same values.How?
They have the same value but different types. Array objects have no padding between elements (before or after) so the address of the array and the address of the first element of the array are the same.
That is:
(void *) a == (void *) &a
What exactly it does int (*p)[3]; Declares a pointer to an array,i know this.But,how a pointer to an array is different from the pointer to the first element of the array and name of the array?
These are two different pointer types. Take for example, pointer arithmetic:
a + 1 /* address of the second element of the array */
&a + 1 /* address one past the last element of the array */
EDIT: due to popular demand I added below some information about conversion of arrays.
With three exceptions, in an expression an object of type array of T is converted to a value of type pointer to T pointing to the first element of the array. The exceptions are if the object is the operand of sizeof or & unary operator or if the object is a string literal initializing an array.
For example this statement:
printf("a:%d\t&a:%d\n", a, &a);
is actually equivalent to:
printf("a:%d\t&a:%d\n", &a[0], &a);
Also please note that d conversion specifier can only be use to print a signed integer; to print a pointer value you have to use p specifier (and the argument must be void *). So to do things correctly use:
printf("a:%p\t&a:%p\n", (void *) a, (void *) &a);
respectively:
printf("a:%p\t&a:%p\n", (void *) &a[0], (void *) &a);
a corresponds to the pointer pointing at 0th element of the array. Whereas,the same is the case with &a.It just gives the starting address of the array.
As,a --> pointer pointing to starting element of array a[],it does not know about other element's location..
&a --->address location for storing array a[] which stores first element location,but knows every element's location.
Similarly,other elements location will be (a+2),(a+4) and so upto the end of the array.
Hence,you got such result.
int (*p)[3] is a pointer to the array. had it been int *p[3],it would been meant entirely different. It'd have meant an array of pointers which would have been totally different from this context.
Pointer to an array will automatically take care of all the other
elements in the array.In this case,your's is (p);
Whereas,the pointer to the first element of the array,i.e., a will
only know about first element of the array.You'll have to manually
give pointer arithmetic directions to access next elements.See,in this
case---we can get second element from a by adding 2 to a,i.e.
a+2,third element by adding 4 to a,i.e., a+4 and so on. // mind the
difference of two as it is an integer array!
In answer to question 1, this is simply an aspect of the C language as designed, unlike most other modern languages C/C++ allows direct manipulation of addresses in memory and has built in facilities to 'understand' that. There are many articles online that explain this better than I could in this small space. Here is one and I am sure there are many others: http://www.cprogramming.com/tutorial/c/lesson8.html
From C99 Standard n1124 6.3.2.1 p3
Except when it is the operand of the sizeof operator or the unary &
operator, or is a string literal used to initialize an array, an
expression that has type ‘‘array of type’’ is converted to an
expression with type ‘‘pointer to type’’ that points to the initial
element of the array object and is not an lvalue. If the array object
has register storage class, the behavior is undefined.
a and &a have the same value because a long time ago you were required to use the address operator & on arrays to get the array's address, but it is no longer necessary. The name of the array (a in this case) these days just represents the memory address of the array itself, which is also what you get from &a. It's a shorthand that the compiler handles for you.

What exactly is the array name in c?

I am having a tough time understanding the type and use of the name of the array in C. It might seems a long post but please bear with me.
I understand that the following statement declares a to be of type int [] i.e array of integers.
int a[30];
While a also points the first element of array and things like *(a+2) are valid. Thus, making a look like a pointer to an integer. But actually the types int [] and int* are different; while the former is an array type and later is a pointer to an integer.
Also a variable of type int [] gets converted into a variable of type int* when passing it to functions; as in C arrays are passed by reference (with the exception of the sizeof operator).
Here comes the point which makes me dangle. Have a look at the following piece of code:
int main()
{
int (*p)[3];
int a[3] = { 5, 4, 6 };
p = &a;
printf("a:%d\t&a:%d\n",a,&a);
printf("%d",*(*p + 2));
}
OUTPUT:
a:2686720 &a:2686720
6
So, how does the above code work? I have two questions:
a and &a have the same values. Why?
What exactly does int (*p)[3]; do? It declares a pointer to an array, I know this. But how is a pointer to an array different from the pointer to the first element of the array and name of the array?
Can anyone clarify things up? I am having a hell of a lot of confusions.
I know that I should use %p as a placeholder instead of using %d for printing the value of pointer variables. As using the integer placeholder might print truncated addresses. But I just want to keep things simple.
Other answers already explained the issue. I am trying to explain it with some diagram. Hope this will help.
When you declare an array
int a[3] = {5, 4, 6}
the memory arrangement looks like
Now answering your question:
a and &a have the same values.How?
As you already know that a is of array type and array name a becomes a pointer to first element of array a (after decay),i.e it points to the address 0x100. Note that 0x100 also is the starting address of the memory block (array a). And you should know that, in general, the address of the first byte is said to be the address of the variable. That is, if a variable is of 100 bytes, then its address is equal to the address of its first byte.
&a is address of the entire memory block, i.e it is an address of array a. See the diagram:
Now you can understand why a and &a both have same address value although both are of different type.
What exactly it does int (*p)[3]; Declares a pointer to an array,i know this.But,how a pointer to an array is different from the pointer to the first element of the array and name of the array?
See the above figure, it is explained clearly how pointer to an array is different from the pointer to an array element.
When you assign &a to p, then p points to the entire array having starting address 0x100.
NOTE: Regarding to the line
... as in C arrays are passed by references (with exception of sizeof function).
In C, arguments are passed by value. No pass by reference in C. When an ordinary variable is passed to a function, its value is copied; any changes to corresponding parameter do not affect the variable.
Arrays are also passed by value, but difference is that the array name decays to pointer to first element and this pointer assigned to the parameter (here, pointer value is copied) of the function; the array itself isn't copied.
In contrast to ordinary variable, an array used as an argument is not protected against any change, since no copy is made of the array itself, instead copy of pointer to first element is made.
You should also note that sizeof is not a function and array name does not act as an argument in this case. sizeof is an operator and array name serves as an operand. Same holds true when array name is an operand of the unary & operator.
a and &a have the same values.How?
They have the same value but different types. Array objects have no padding between elements (before or after) so the address of the array and the address of the first element of the array are the same.
That is:
(void *) a == (void *) &a
What exactly it does int (*p)[3]; Declares a pointer to an array,i know this.But,how a pointer to an array is different from the pointer to the first element of the array and name of the array?
These are two different pointer types. Take for example, pointer arithmetic:
a + 1 /* address of the second element of the array */
&a + 1 /* address one past the last element of the array */
EDIT: due to popular demand I added below some information about conversion of arrays.
With three exceptions, in an expression an object of type array of T is converted to a value of type pointer to T pointing to the first element of the array. The exceptions are if the object is the operand of sizeof or & unary operator or if the object is a string literal initializing an array.
For example this statement:
printf("a:%d\t&a:%d\n", a, &a);
is actually equivalent to:
printf("a:%d\t&a:%d\n", &a[0], &a);
Also please note that d conversion specifier can only be use to print a signed integer; to print a pointer value you have to use p specifier (and the argument must be void *). So to do things correctly use:
printf("a:%p\t&a:%p\n", (void *) a, (void *) &a);
respectively:
printf("a:%p\t&a:%p\n", (void *) &a[0], (void *) &a);
a corresponds to the pointer pointing at 0th element of the array. Whereas,the same is the case with &a.It just gives the starting address of the array.
As,a --> pointer pointing to starting element of array a[],it does not know about other element's location..
&a --->address location for storing array a[] which stores first element location,but knows every element's location.
Similarly,other elements location will be (a+2),(a+4) and so upto the end of the array.
Hence,you got such result.
int (*p)[3] is a pointer to the array. had it been int *p[3],it would been meant entirely different. It'd have meant an array of pointers which would have been totally different from this context.
Pointer to an array will automatically take care of all the other
elements in the array.In this case,your's is (p);
Whereas,the pointer to the first element of the array,i.e., a will
only know about first element of the array.You'll have to manually
give pointer arithmetic directions to access next elements.See,in this
case---we can get second element from a by adding 2 to a,i.e.
a+2,third element by adding 4 to a,i.e., a+4 and so on. // mind the
difference of two as it is an integer array!
In answer to question 1, this is simply an aspect of the C language as designed, unlike most other modern languages C/C++ allows direct manipulation of addresses in memory and has built in facilities to 'understand' that. There are many articles online that explain this better than I could in this small space. Here is one and I am sure there are many others: http://www.cprogramming.com/tutorial/c/lesson8.html
From C99 Standard n1124 6.3.2.1 p3
Except when it is the operand of the sizeof operator or the unary &
operator, or is a string literal used to initialize an array, an
expression that has type ‘‘array of type’’ is converted to an
expression with type ‘‘pointer to type’’ that points to the initial
element of the array object and is not an lvalue. If the array object
has register storage class, the behavior is undefined.
a and &a have the same value because a long time ago you were required to use the address operator & on arrays to get the array's address, but it is no longer necessary. The name of the array (a in this case) these days just represents the memory address of the array itself, which is also what you get from &a. It's a shorthand that the compiler handles for you.

Pointer address in a C multidimensional array

I'm messing around with multidimensional arrays and pointers. I've been looking at a program that prints out the contents of, and addresses of, a simple array. Here's my array declaration:
int zippo[4][2] = { {2,4},
{6,8},
{1,3},
{5,7} };
My current understanding is that zippo is a pointer, and it can hold the address of a couple of other pointers. By default, zippo holds the address of pointer zippo[0], and it can also hold the addresses of pointers zippo[1], zippo[2], and zippo[3].
Now, take the following statement:
printf("zippo[0] = %p\n", zippo[0]);
printf(" *zippo = %p\n", *zippo);
printf(" zippo = %p\n", zippo);
On my machine, that gives the following output:
zippo[0] = 0x7fff170e2230
*zippo = 0x7fff170e2230
zippo = 0x7fff170e2230
I perfectly understand why zippo[0] and *zippo have the same value. They're both pointers, and they both store the address (by default) of the integer 2, or zippo[0][0]. But what is up with zippo also sharing the same memory address? Shouldn't zippo be storing the address of the pointer zippo[0]? Whaaaat?
When an array expression appears in most contexts, its type is implicitly converted from "N-element array of T" to "pointer to T", and its value is set to point to the first element in the array. The exceptions to this rule are when the array expression is an operand of either the sizeof or address-of (&) operators, or when the array is a string literal being used as an initializer in a declaration.
Thus, the expression zippo "decays" from type int [4][2] (4-element array of 2-element arrays of int) to int (*)[2] (pointer to 2-element array of int). Similarly, the type of zippo[0] is int [2], which is implicitly converted to int *.
Given the declaration int zippo[4][2], the following table shows the types of various array expressions involving zippo and any implicit conversions:
Expression Type Implicitly converted to Equivalent expression
---------- ---- ----------------------- ---------------------
zippo int [4][2] int (*)[2]
&zippo int (*)[4][2]
*zippo int [2] int * zippo[0]
zippo[i] int [2] int *
&zippo[i] int (*)[2]
*zippo[i] int zippo[i][0]
zippo[i][j] int
&zippo[i][j] int *
*zippo[i][j] invalid
Note that zippo, &zippo, *zippo, zippo[0], &zippo[0], and &zippo[0][0] all have the same value; they all point to the base of the array (the address of the array is the same as the address of the first element of the array). The types of the various expressions all differ, though.
When you declare a multidimensional array, the compiler treats it as a single dimensional array. Multidimensional arrays are just an abstraction to make our life easier. You have a misunderstanding: This isn't one array pointing to 4 arrays, its always just a single contigous block of memory.
In your case, doing:
int zippo[4][2]
Is really the same as doing
int zippo[8]
With the math required for the 2D addressing handled for you by the compiler.
For details, see this tutorial on Arrays in C++.
This is very different than doing:
int** zippo
or
int* zippo[4]
In this case, you're making an array of four pointers, which could be allocated to other arrays.
zippo is not a pointer. It's an array of array values. zippo, and zippo[i] for i in 0..4 can "decay" to a pointer in certain cases (particularly, in value contexts). Try printing sizeof zippo for an example of the use of zippo in a non-value context. In this case, sizeof will report the size of the array, not the size of a pointer.
The name of an array, in value contexts, decays to a pointer to its first element. So, in value context, zippo is the same as &zippo[0], and thus has the type "pointer to an array [2] of int"; *zippo, in value context is the same as &zippo[0][0], i.e., "pointer to int". They have the same value, but different types.
I recommend reading Arrays and Pointers for answering your second question. The pointers have the same "value", but point to different amounts of space. Try printing zippo+1 and *zippo+1 to see that more clearly:
#include <stdio.h>
int main(void)
{
int zippo[4][2] = { {2,4}, {6,8}, {1,3}, {5,7} };
printf("%lu\n", (unsigned long) (sizeof zippo));
printf("%p\n", (void *)(zippo+1));
printf("%p\n", (void *)(*zippo+1));
return 0;
}
For my run, it prints:
32
0xbffede7c
0xbffede78
Telling me that sizeof(int) on my machine is 4, and that the second and the third pointers are not equal in value (as expected).
Also, "%p" format specifier needs void * in *printf() functions, so you should cast your pointers to void * in your printf() calls (printf() is a variadic function, so the compiler can't do the automatic conversion for you here).
Edit: When I say an array "decays" to a pointer, I mean that the name of an array in value context is equivalent to a pointer. Thus, if I have T pt[100]; for some type T, then the name pt is of type T * in value contexts. For sizeof and unary & operators, the name pt doesn't reduce to a pointer. But you can do T *p = pt;—this is perfectly valid because in this context, pt is of type T *.
Note that this "decaying" happens only once. So, let's say we have:
int zippo[4][2] = { {2,4}, {6,8}, {1,3}, {5,7} };
Then, zippo in value context decays to a pointer of type: pointer to array[2] of int. In code:
int (*p1)[2] = zippo;
is valid, whereas
int **p2 = zippo;
will trigger an "incompatible pointer assignment" warning.
With zippo defined as above,
int (*p0)[4][2] = &zippo;
int (*p1)[2] = zippo;
int *p2 = zippo[0];
are all valid. They should print the same value when printed using printf("%p\n", (void *)name);, but the pointers are different in that they point to the whole matrix, a row, and a single integer respectively.
The important thing here is that int zippy[4][2] is not the same type of object as int **zippo.
Just like int zippi[5], zippy is the address of a block of memory. But the compiler knows that you want to address the eight memory location starting at zippy with a two dimensional syntax, but want to address the five memory location starting at zippi with a one dimensional syntax.
zippo is a different thing entirely. It holds the address of a a block of memory big enough to contain two pointer, and if you make them point at some arrays of integers, you can dereference them with the two dimensional array access syntax.
Very well explained by Reed, I shall add few more points to make it simpler, when we refer to zippo or zippo[0] or zippo[0][0], we are still referring to the same base address of the array zippo. The reason being arrays are always contiguous block of memory and multidimensional arrays are multiple single dimension arrays continuously placed.
When you have to increment by each row, you need a pointer int *p = &zippo[0][0], and doing p++ increments the pointer by every row.
In your example id its a 4 X 2 array, on doing p++ its, pointer currently points to second set of 4 elements.

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