Basics of Integer Double Dimension Array

In this section, you are going to learn

What are the basic properties of a integer double dimension array ?

What are the different expressions of double dimension array ?

What are synonymous expresions of double dimension array ?

How to find sizeof() of expressions of double dimension array ?

int array_name[Row][Column];

Consider a integer double dimension array

int a[3][4];

Let us answer few basic questions in this array

How many integers can be stored in this array ?

How many bytes are there in this array ?

What is the sizeof the array ?

How many single dimension arrays are present in this double dimension array ?

What are the names of single dimension arrays in this double dimension array ?

How do you represent the first integer ?

How do you represent the last integer ?

How do you initialise the array at the time of declaration ?

Let us now explore basic examples of double dimension array !

  • Step 1 : Define a Double Dimension Array

int a[3][4] = {
        { 1, 2, 3, 4 },
        { 10, 20, 30, 40  },
        { 100, 200, 300, 400 },
};
  • Step 2 : Access and Print individual integers

for (int i = 0; i < 3; i++) {
        for (int j = 0; j < 4; j++) {
                printf("%d ", a[i][j]);
        }
        printf("\n");
}
  • Step 4 : See the full program below

#include <stdio.h>

int main(void)
{
        int a[3][4] = {
                { 1, 2, 3, 4 },
                { 10, 20, 30, 40  },
                { 100, 200, 300, 400 },
        };

        // print individual integers
        printf("--------- Access and Print Integers ----------\n");
        for (int i = 0; i < 3; i++) {
                for (int j = 0; j < 4 ; j++) {
                        printf("%d ", a[i][j]);
                }
                printf("\n");
        }

        return 0;
}
  • Step 5 : Output is as below

--------- Access and Print Integers ----------
1 2 3 4
10 20 30 40
100 200 300 400

Let us now explore double dimension array in depth !

Below are the properties

  • Expressions

  • Synonyms

  • typeof(expression)

  • sizeof(expression)

  • fun(expression)

Know what are the possible expressions and how to properly call them !

Expression

Description

a[0][0]

  • a[0][0] is a integer

a[1][0]

  • a[1][0] is a integer

a[2][0]

  • a[2][0] is a integer

&a[0][0]

  • &a[0][0] is address of a integer

&a[1][0]

  • &a[1][0] is address of a integer

&a[2][0]

  • &a[2][0] is address of a integer

**a

  • **a is integer. Same as a[0][0]

*(*(a + 1) + 0)

  • *(*(a + 1) + 0) is a integer. Same as a[1][0]

*(*(a + 2) + 0)

  • *(*(a + 2) + 0) is a integer. Same as a[2][0]

a[0]

  • a[0] is a single dimension array

a[1]

  • a[1] is a single dimension array

a[2]

  • a[2] is a single dimension array

&a[0]

  • &a[0] is address of a single dimension array

&a[1]

  • &a[1] is address of a single dimension array

&a[2]

  • &a[2] is address of a single dimension array

*a

  • *a is a single dimension array

*(a + 1)

  • *(a + 1) is a single dimension array

*(a + 2)

  • *(a + 2) is a single dimension array

a

  • a is address of a single dimension array

a + 1

  • a + 1 is address of a single dimension array

a + 2

  • a + 2 is address of a single dimension array

&a

  • &a is the address of double dimension array

Synonyms : Which can be used interchangeably !

Programmatically few expressions are one and the same ! Let us learn them

Expression

Synonyms

a[0][0]

**a

a[1][0]

*(*(a + 1) + 0)

a[2][0]

*(*(a + 2) + 0)

&a[0][0]

a[0]

&a[1][0]

a[1]

&a[2][0]

a[2]

**a

a[0][0]

*(*(a + 1) + 0)

a[1][0]

*(*(a + 2) + 0)

a[2][0]

a[0]

*a

&a[0][0]

a[1]

*(a + 1)

&a[1][0]

a[2]

*(a + 2)

&a[2][0]

&a[0]

a + 0

a

&a[1]

a + 1

&a[2]

a + 2

*a

a[0]

&a[0][0]

*(a + 1)

a[1]

&a[1][0]

*(a + 2)

a[2]

&a[2][0]

a

&a[0]

a + 1

&a[1]

a + 2

&a[2]

&a

&a

Finding the type of an expression is easy. See below

Expression

Type

Description

a[0][0]

int

  • a[0][0] is a integer

a[1][0]

int

  • a[1][0] is a integer

a[2][0]

int

  • a[2][0] is a integer

&a[0][0]

int *

  • &a[0][0] is address of a integer

&a[1][0]

int *

  • &a[1][0] is address of a integer

&a[2][0]

int *

  • &a[2][0] is address of a integer

**a

int

  • **a is integer. Same as a[0][0]

*(*(a + 1) + 0)

int

  • *(*(a + 1) + 0) is a integer. Same as a[1][0]

*(*(a + 2) + 0)

int

  • *(*(a + 2) + 0) is a integer. Same as a[2][0]

a[0]

int *

  • a[0] is a single dimension integer array

  • Hence type is int *

a[1]

int *

  • a[1] is a single dimension integer array

  • Hence type is int *

a[2]

int *

  • a[2] is a single dimension integer array

  • Hence type is int *

&a[0]

int *

  • a[0] is a single dimension integer array

  • Hence typeof(&a[0]) is int (* )[4]

&a[1]

int *

  • a[1] is a single dimension integer array

  • Hence typeof(&a[1]) is int (* )[4]

&a[2]

int *

  • a[2] is a single dimension integer array

  • Hence typeof(&a[2]) is int (* )[4]

*a

int

  • *a is a single dimension integer array

  • Hence type is int *

*(a + 1)

int

  • *(a + 1) is a single dimension integer array

  • Hence type is int *

*(a + 2)

int

  • *(a + 2) is a single dimension integer array

  • Hence type is int *

a

int *

  • a is equal to &a[0]

  • Hence typeof(a) is int (* )[4]

a + 1

int *

  • a + 1 is equal to &a[1]

  • Hence typeof(a + 1) is int (* )[4]

a + 2

int *

  • a + 2 is equal to &a[2]

  • Hence typeof(a + 2) is int (* )[4]

&a

int (*)[3][4]

  • &a is address of complete array

sizeof(expression)

size

Description

sizeof(a[0][0])

4

a[0][0] is a integer

sizeof(a[1][0])

4

a[1][0] is a integer

sizeof(a[2][0])

4

a[2][0] is a integer

sizeof(&a[0][0])

8

&a[0][0] is address / pointer

sizeof(&a[1][0])

8

&a[1][0] is address / pointer

sizeof(&a[2][0])

8

&a[2][0] is address / pointer

sizeof(**a)

4

**a is a integer

sizeof(*(*(a + 1) + 0))

4

*(*(a + 1) + 0) is a integer

sizeof(*(*(a + 2) + 0))

4

*(*(a + 2) + 0) is a integer

sizeof(a[0])

16

a[0] is a single dimension array

sizeof(a[1])

16

a[1] is a single dimension array

sizeof(a[2])

16

a[2] is a single dimension array

sizeof(&a[0])

8

&a[0] is address / pointer

sizeof(&a[1])

8

&a[1] is address / pointer

sizeof(&a[2])

8

&a[2] is address / pointer

sizeof(*a)

16

*a is a single dimension array

sizeof(*(a + 1))

16

*(a + 1) is a single dimension array

sizeof(*(a + 2))

16

*(a + 2) is a single dimension array

sizeof(a)

48

a is a double dimension array

sizeof(a + 1)

8

a + 1 is address / pointer

sizeof(a + 2)

8

a + 2 is address / pointer

sizeof(&a)

8

&a is address / pointer

  • See the full program below

#include <stdio.h>

int main(void)
{
        int a[3][4] = {
                { 1, 2, 3, 4 },
                { 10, 20, 30, 40  },
                { 100, 200, 300, 400 },
        };

        printf("sizeof(a[0][0])         = %d\n", (int) sizeof(a[0][0]) );
        printf("sizeof(a[1][0])         = %d\n", (int) sizeof(a[1][0]) );
        printf("sizeof(a[2][0])         = %d\n", (int) sizeof(a[2][0]) );
        printf("sizeof(&a[0][0])        = %d\n", (int) sizeof(&a[0][0]) );
        printf("sizeof(&a[1][0])        = %d\n", (int) sizeof(&a[1][1]) );
        printf("sizeof(&a[2][0])        = %d\n", (int) sizeof(&a[2][0]) );
        printf("sizeof(**a)             = %d\n", (int) sizeof(**a));
        printf("sizeof(*(*(a + 1) + 0)) = %d\n", (int) sizeof(*(*(a + 1) + 0)) );
        printf("sizeof(*(*(a + 2) + 0)) = %d\n", (int) sizeof(*(*(a + 2) + 0)) );
        printf("sizeof(a[0])            = %d\n", (int) sizeof(a[0]) );
        printf("sizeof(a[1])            = %d\n", (int) sizeof(a[1]) );
        printf("sizeof(a[2])            = %d\n", (int) sizeof(a[2]) );
        printf("sizeof(&a[0])           = %d\n", (int) sizeof(&a[0]) );
        printf("sizeof(&a[1])           = %d\n", (int) sizeof(&a[1]) );
        printf("sizeof(&a[2])           = %d\n", (int) sizeof(&a[2]) );
        printf("sizeof(*a)              = %d\n", (int) sizeof(*a) );
        printf("sizeof(*(a + 1))        = %d\n", (int) sizeof(*(a + 1)) );
        printf("sizeof(*(a + 2))        = %d\n", (int) sizeof(*(a + 2)) );
        printf("sizeof(a)               = %d\n", (int) sizeof(a) );
        printf("sizeof(a + 1)           = %d\n", (int) sizeof(a + 1) );
        printf("sizeof(a + 2)           = %d\n", (int) sizeof(a + 2) );
        printf("sizeof(&a)              = %d\n", (int) sizeof(&a) );

        return 0;
}
  • Output is as below on 64 bit OS

sizeof(a[0][0])         = 4
sizeof(a[1][0])         = 4
sizeof(a[2][0])         = 4
sizeof(&a[0][0])        = 8
sizeof(&a[1][0])        = 8
sizeof(&a[2][0])        = 8
sizeof(**a)             = 4
sizeof(*(*(a + 1) + 0)) = 4
sizeof(*(*(a + 2) + 0)) = 4
sizeof(a[0])            = 16
sizeof(a[1])            = 16
sizeof(a[2])            = 16
sizeof(&a[0])           = 8
sizeof(&a[1])           = 8
sizeof(&a[2])           = 8
sizeof(*a)              = 16
sizeof(*(a + 1))        = 16
sizeof(*(a + 2))        = 16
sizeof(a)               = 48
sizeof(a + 1)           = 8
sizeof(a + 2)           = 8
sizeof(&a)              = 8

If fun(x) is the function call, then fun(typeof(x)) is the prototype / definition

Function Call

Function Definition

Observations

fun(a[0][0])

void fun(int x) {}

  • Call by Value

fun(a[1][0])

void fun(int x) {}

  • Call by Value

fun(a[2][0])

void fun(int x) {}

  • Call by Value

fun(&a[0][0])

void fun(int *p) { }

  • Call by Reference

fun(&a[1][0])

void fun(int *p) { }

  • Call by Reference

fun(&a[2][0])

void fun(int *p) { }

  • Call by Reference

fun(**a)

void fun(int x) {}

  • Call by Value

fun(*(*(a + 1) + 0))

void fun(int x) {}

  • Call by Value

fun(*(*(a + 2) + 0))

void fun(int x) {}

  • Call by Value

fun(a[0])

void fun(int *p) { }

  • Call by Reference

fun(a[1])

void fun(int *p) { }

  • Call by Reference

fun(a[2])

void fun(int *p) { }

  • Call by Reference

fun(&a[0])

void fun(int (*p)[4]) { }

  • Call by Reference

fun(&a[1])

void fun(int (*p)[4]) { }

  • Call by Reference

fun(&a[2])

void fun(int (*p)[4]) { }

  • Call by Reference

fun(*a)

void fun(int *p) { }

  • Call by Reference

fun(*(a + 1))

void fun(int *p) { }

  • Call by Reference

fun(*(a + 2))

void fun(int *p) { }

  • Call by Reference

fun(a)

void fun(int (*p)[4]) { }

  • Call by Reference

fun(a + 1)

void fun(int (*p)[4]) { }

  • Call by Reference

fun(a + 2)

void fun(int (*p)[4]) { }

  • Call by Reference

fun(&a)

void fun(int (*p)[3][4]) { }

  • Call by Reference

Read more about function calls and conventions of Functions and Integer Double Dimension Array