CHAPTER 4 ARRAY Prepared by MMD, Edited by MSY 1 Arrays Introduction to arrays Declaring arrays Initializing arrays Examples using arrays Relationship with pointers Array passing to a function Simple sorting: bubble sort Simple searching: linear sort 2-dimensional array Prepared by MMD, Edited by MSY 2 Introduction to Arrays Built-in C data types: Fundamental data types – char, int, double, float, void and variations of int and double. When a variable is declared as one of these types, the compiler reserves a memory location for the variable and it can only store only one value at a time. Derived data types – derived from fundamental data types eg. pointers, arrays, structures and unions. An array is a group of memory locations related by the fact that they all have the same name and the same type. Prepared by MMD, Edited by MSY 3 Introduction to Arrays Cont… To refer to a particular location or element in the array, we specify the name of the array and the position number of the particular element in the array. The size of an array is static (fixed) throughout program execution. Prepared by MMD, Edited by MSY 4 Let say we have an array called A Name of the array The position number within the square brackets is formally called a subscript. A subscript can be an integer or an integer expression. For example if x = 1 and y = 2, then A [x+y] is A [3]. Position/index number of the element within the array Notice that the position starts from 0. A[0] -10 A[1] 99 A[2] -8 A[3] 100 A[4] 27 A[5] 1 A[6] 1976 A[7] -2020 1 A[8] Prepared by MMD, Edited by MSY 5 Declaring Arrays Array declaration is made by specifying the data type and the number of space so that the computer may reserve the appropriate amount of memory. General syntax: data_type array_name[size] Examples: int my_array[100]; char name[20]; double bigval[5*200]; int a[27], b[10], c[76]; Prepared by MMD, Edited by MSY 6 Initializing Arrays 1. There are 2 ways to initialize an array: during compilation and during execution. During compilation: Unsized array e.g int arr[] = {1, 2, 3, 4, 5}; Sized array e.g int arr[3] = {90, 21, 22}; 2. We can define how many elements that we want since the array size is not given. We can define only 3 elements since the array size is already given. During execution: int arr[3], j; for (j = 0; j < 3; j++) arr[j] = 0; Prepared by MMD, Edited by MSY 7 Examples Using Arrays #include <stdio.h> #define SIZE 5 Output: void main(void) { int temp[SIZE], i; for (i = 0; i < SIZE; i++) temp[i] = i*9; printf(“%s %13s\n”, “Element”, “Value”); for (i = 0; i < SIZE; i++) printf(“%7d%13d\n”, i, temp[i]); } Element 0 1 2 3 4 Value 0 9 18 27 36 In the example above, an array with the name temp and size 5 has been declared. The elements in the array has been given the value position*9. The first for loop is equivalent to this: temp[0] = 0*9 temp[1] = 1*9 temp[2] = 2*9 temp[3] = 3*9 temp[4] = 4*9 Prepared by MMD, Edited by MSY 8 Example: #include <stdio.h> #define SIZE 10 void main(void) { int list[SIZE] = {1, 2, 3, 4, 5, 6, 7, 8, 9}; int i, total = 0; for (i=0; i < SIZE; i++) { total += list[i]; } printf(“Total of array element values is %d.\n”, total); } Output: Total of array element values is 45. Prepared by MMD, Edited by MSY 9 Example: #include <stdio.h> #define SIZE 20 void main(void) { int list[SIZE]; int n, i, total = 0; float avg; //user enter how many values to key in and validate it printf(“enter the size of the data: ”); scanf(“%d”, &n); if(n<20){ for (i=0; i < n; i++) { //read values and store in array Output: Total of array element values printf(“enter value %d :”, i); scanf(“%d”, &list[i]); total += list[i]; } //find average avg=total/n; printf(“Total of array element values is %d.\n”, total); printf(“Average= %.2f\n”, avg); } else printf(“the size of the data is exceeding the array size”); Prepared by MMD, Edited by MSY } is 45. 10 Relationship with Pointers The name of an array is actually a pointer to the first element in the array. Therefore, if we have: int test[3] = {9, 10, 11}; printf(“%d”, *test); The output would be: 9 There are a few ways to traverse an array: int test[3] = {9, 10, 11}, k; for (k = 0; k < 3; k++) printf(“%d\n”, test[k]); int test[3] = {9, 10, 11}, k; int *ptr = test; for (k = 0; k < 3; k++, ptr++) Prepared by MMD, Edited by MSY printf(“%d\n”, *ptr); 11 Array Passing to a Function A function that is going to receive an array as one of the arguments can be declared in 2 ways: void Process(char name[]) OR void Process(char *name) When we pass an array to a function, we are actually passing the pointer to the first element in the array to the function. Therefore, any changes to the array inside the function will also change the actual array. Either the array is passed using [] or using *, the array can be accessed in the same way. Prepared by MMD, Edited by MSY 12 Passing Array to a Function Cont… Assume that we have the following array declaration. int marks[10] = {0}; Say for example we want to write a function, called get_marks, which will read marks from the user and store the marks inside the array. When we want to pass an array to a function, we need to know these 3 things. How to write the function prototype? How to do function call? How does the function header would look like? Prepared by MMD, Edited by MSY 13 Passing Array to a Function Cont… Function prototype: /* data type with square bracket */ void get_marks(int [ ]); void get_marks(int *); /*treating array as pointer */ Function call: get_marks(marks); /* just pass the array name */ Function header: void get_marks(int marks[ ]) void get_marks(int *marks) /*treating array as pointers */ Prepared by MMD, Edited by MSY 14 Example 1: parameter received as an array #include <stdio.h> #define size 10 void get_marks(int [ ]); int calc_average(int [ ]); void main(void) { int marks[size] = {0}; /*initializing the array */ get_marks(marks); /* function call */ printf(“Average for marks given is %d”, calc_average(marks)); } Prepared by MMD, Edited by MSY 15 Example 1: parameter received as an array void get_marks(int marks[ ]) { int i; for (i = 0; i < size; i++) { printf("Marks student %d:",i + 1); scanf("%d",&marks[i]); } int calc_average(int marks[ ]) } { int total = 0, i; for (i = 0; i < size; i++) { total = total + marks[i]; } return total / size; } Prepared by MMD, Edited by MSY 16 Example 2: parameter received as pointers A function could also receive/treat array parameter as pointer. #include <stdio.h> #define size 10 void get_marks(int *); int calculate_average(int *); Observe the function prototypes void main(void) { int marks[size] = {0}; get_marks(marks); printf("Average for marks given is %d\n", calculate_average(marks)); } Prepared by MMD, Edited by MSY 17 Example 2: parameter received as pointers void get_marks(int *marks) { Manipulating the memory address int i; for (i = 0; i < size; i++, marks++) { printf("Marks student %d: ", i + 1); scanf("%d", marks); } } int calculate_average(int *marks) { int i, total = 0; for (i = 0; i < size; i++, marks++) { total = total + *marks; } return (total / size); } Prepared by MMD, Edited by MSY Pointer variable 18 Example 3: #include <stdio.h> #define SIZE 10 void Read(int []); int CountAvg(int *); void main(void) { int grades[SIZE]; Read(grades); printf(“The average of the grades given is %d\n”, CountAvg(grades)); } void Read(int grades[]) { int i, temp; for (i=0 ; i<SIZE; i++) { printf(“Enter grade %d\n”, i); scanf(“%d”, &temp) grades[i] = temp; } } int CountAvg(int *grades) { int i, total=0; for (i=0; i<SIZE; i++) total += grades[i]; return (total/SIZE); } Prepared by MMD, Edited by MSY 19 The Read() and CountAvg() functions can also be written this way: void Read(int grades[]) { int i; int *ptr = grades; for (i = 0; i < SIZE; i++, ptr++) { printf(“Enter grade %d\n”, i); scanf(“%d”, &(*ptr)) } } int CountAvg(int *grades) { int i, total; int *ptr = grades; for (i = 0, total = 0; i < SIZE; i++, ptr++) total += *ptr; return (total/SIZE); } Prepared by MMD, Edited by MSY 20 Sorting Sorting is the process of placing data into a particular order such as ascending or descending. There are many sorting algorithms that are usually used. Among them are bubble sort, selection sort, insertion sort and shell sort. Here, we will discuss how bubble sort can be used to sort the elements in an array. Prepared by MMD, Edited by MSY 21 Bubble Sort In bubble sort, the list is divided into two sublists: sorted and unsorted. The smallest element is bubbled from unsorted sublist and moved to the sorted sublist. Each time an element moves from the unsorted sublist to the sorted sublist, one sort is completed. The bubble concept is shown in figure below : 1 j Sorted k n Unsorted Prepared by MMD, Edited by MSY 22 Bubble Sort cont… Figure below shows how the wall moves one element in each pass. 23 78 45 8 32 56 Original list Unsorted Looking at the first pass, start with 56 and compare it to 32. Since 56 > 32, it is not moved and we step down one element. No changes take place until we compare 45 to 8. Since 8 < 45, the two elements are exchanged (swapped). Prepared by MMD, Edited by MSY 23 Bubble Sort cont… The two elements are swapped and we step down 1 element. Because 8 was moved down, it is now compared to 78 and these two elements are swapped. Finally, 8 is compared to 23 and exchanged. This series of exchanges places 8 in the first location and the wall is moved up one position. 8 23 78 45 32 56 After pass 1 Unsorted Prepared by MMD, Edited by MSY 24 Bubble Sort cont… 8 23 32 78 45 56 After pass 2 Unsorted 8 23 32 Sorted 8 23 32 45 45 78 56 After pass 3 Unsorted 56 78 After pass 4 Sorted! Sorted Prepared by MMD, Edited by MSY 25 Let us look at the C code: void main(void) { int list[] = {23, 78, 45, 8, 32, 56}; BubbleSort(list); } void BubbleSort (int list[]) { int i, j, temp, swapped = 1; for (i = 0; i < 6 && swapped == 1; i++) { swapped = 0; for (j = 0; j < (6-i); j++) { if (list[j] > list[j+1]) { // Swap temp = list[j]; list[j] = list[j+1]; list[j+1] = temp; swapped = 1; } } } } Prepared by MMD, Edited by MSY 26 Simple Searching Searching is the process of determining whether an array contains a value that matches a certain key value. Same as in sort, there are more than one algorithms that can be used to do a search. Here, we will discuss how can we do a linear search on an array. Linear search is a simple searching algorithm where: data are stored in an array a key value is compared with each elements in the array starting from the first element Prepared by MMD, Edited by MSY 27 Let us look at the C code: Sample Output: Enter the number that you want to find: 53 The number 53 is found at location 1 Press any key to continue void main(void) { int list[] = {34, 53, 21, 23, 4}; int i, key_value, found = 0; printf(“Enter the number that you want to find: ”); scanf(“%d”, &key_value); for (i = 0; i < 5; i++) { if (list[i] == key_value) { found = 1; printf(“The number %d is found at location %d\n”, key_value, i); break; } } if (found == 0) printf(“The number %d cannot be found in the list\n”, key_value); } Prepared by MMD, Edited by MSY 28 2-Dimensional Array It is possible to create an array which has more than one dimension. For example: 2D array: int array[4][2]; 3D array: int array[4][2][10]; Graphical representation of a 2D array: int myarray[4][2] = {1, 2, 3, 4, 5, 6, 7, 8}; 1 2 3 4 5 6 8 7 This array has 4 rows and 2 columns. Prepared by MMD, Edited by MSY 29 2-Dimensional Array Cont… Variable initialization can also be done this way: int myarray[4][2] = {{1, 2}, {3, 4}, {5, 6}, {7, 8}}; int test_score[4][3]={{95,80,78},{69, 75,81}, {100,98,100}, {98,85,87}}; This method is less confusing since we can see the rows and columns division more clearly. To initialize a 2D array during execution, we need to use a double loop (nested loop): for (i = 0; i < 4; i++) for (j = 0; j < 2; j++) total=total + myarray[i][j]; Although it is possible to create a multi-dimensional array, arrays above 2-dimensions are rarely used. Prepared by MMD, Edited by MSY 30 Passing 2D Array to Function When a 2D (or higher dimensional) array is passed to a function, the size of the second (or subsequent) subscript needs to be specified. For example, if we have: int twoD[4][5]; Then a function which would take twoD as an argument should be declared like this: void Process2D(int td[][5]) An array is stored consecutively in memory regardless of the number of dimensions. Therefore, specifying the subscripts in the function parameter will help the compiler to know the boundary of the different dimensions. Prepared by MMD, Edited by MSY 31 Example Sample program 1 Sample program 2 Prepared by MMD, Edited by MSY 32 SUMMARY In this chapter, we have looked at: Array declaration and initialization Reading and writing from/to array elements Passing array to function Array sorting : BubbleSort Simple searching : Linear Search 2 dimensional array Prepared by MMD, Edited by MSY 33